<?xml version="1.0" encoding="UTF-8"?>
<!DOCTYPE article PUBLIC "-//NLM//DTD Journal Publishing with OASIS Tables v3.0 20080202//EN" "journalpub-oasis3.dtd">
<article xmlns:xlink="http://www.w3.org/1999/xlink" xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:oasis="http://docs.oasis-open.org/ns/oasis-exchange/table" xml:lang="en" dtd-version="3.0" article-type="data-paper">
  <front>
    <journal-meta><journal-id journal-id-type="publisher">ESSD</journal-id><journal-title-group>
    <journal-title>Earth System Science Data</journal-title>
    <abbrev-journal-title abbrev-type="publisher">ESSD</abbrev-journal-title><abbrev-journal-title abbrev-type="nlm-ta">Earth Syst. Sci. Data</abbrev-journal-title>
  </journal-title-group><issn pub-type="epub">1866-3516</issn><publisher>
    <publisher-name>Copernicus Publications</publisher-name>
    <publisher-loc>Göttingen, Germany</publisher-loc>
  </publisher></journal-meta>
    <article-meta>
      <article-id pub-id-type="doi">10.5194/essd-13-4861-2021</article-id><title-group><article-title>Description of a global marine particulate organic carbon-13 isotope data set</article-title><alt-title>Description of a global marine particulate organic carbon-13 isotope data set</alt-title>
      </title-group><?xmltex \runningtitle{Description of a global marine particulate organic carbon-13 isotope data set}?><?xmltex \runningauthor{M.-T. Verwega et al.}?>
      <contrib-group>
        <contrib contrib-type="author" corresp="no" rid="aff1 aff2">
          <name><surname>Verwega</surname><given-names>Maria-Theresia</given-names></name>
          
        <ext-link>https://orcid.org/0000-0002-0976-3501</ext-link></contrib>
        <contrib contrib-type="author" corresp="yes" rid="aff1">
          <name><surname>Somes</surname><given-names>Christopher J.</given-names></name>
          <email>csomes@geomar.de</email>
        <ext-link>https://orcid.org/0000-0003-2635-7617</ext-link></contrib>
        <contrib contrib-type="author" corresp="no" rid="aff1">
          <name><surname>Schartau</surname><given-names>Markus</given-names></name>
          
        <ext-link>https://orcid.org/0000-0003-1114-0415</ext-link></contrib>
        <contrib contrib-type="author" corresp="no" rid="aff3">
          <name><surname>Tuerena</surname><given-names>Robyn Elizabeth</given-names></name>
          
        <ext-link>https://orcid.org/0000-0001-7664-840X</ext-link></contrib>
        <contrib contrib-type="author" corresp="no" rid="aff4">
          <name><surname>Lorrain</surname><given-names>Anne</given-names></name>
          
        <ext-link>https://orcid.org/0000-0002-1289-2072</ext-link></contrib>
        <contrib contrib-type="author" corresp="no" rid="aff1">
          <name><surname>Oschlies</surname><given-names>Andreas</given-names></name>
          
        <ext-link>https://orcid.org/0000-0002-8295-4013</ext-link></contrib>
        <contrib contrib-type="author" corresp="no" rid="aff2">
          <name><surname>Slawig</surname><given-names>Thomas</given-names></name>
          
        <ext-link>https://orcid.org/0000-0002-1266-3181</ext-link></contrib>
        <aff id="aff1"><label>1</label><institution>GEOMAR Helmholtz Centre for Ocean Research Kiel, Kiel, Germany</institution>
        </aff>
        <aff id="aff2"><label>2</label><institution>Department of Computer Science, Kiel University, Kiel, Germany​​​​​​​</institution>
        </aff>
        <aff id="aff3"><label>3</label><institution>Scottish Association for Marine Science, Dunstaffnage, Oban, PA37 1QA, UK</institution>
        </aff>
        <aff id="aff4"><label>4</label><institution>LEMAR, Univ Brest, CNRS, IRD, Ifremer, 29280 Plouzané, France</institution>
        </aff>
      </contrib-group>
      <author-notes><corresp id="corr1">Christopher J. Somes (csomes@geomar.de)</corresp></author-notes><pub-date><day>26</day><month>October</month><year>2021</year></pub-date>
      
      <volume>13</volume>
      <issue>10</issue>
      <fpage>4861</fpage><lpage>4880</lpage>
      <history>
        <date date-type="received"><day>14</day><month>May</month><year>2021</year></date>
           <date date-type="rev-request"><day>26</day><month>May</month><year>2021</year></date>
           <date date-type="rev-recd"><day>28</day><month>September</month><year>2021</year></date>
           <date date-type="accepted"><day>29</day><month>September</month><year>2021</year></date>
      </history>
      <permissions>
        <copyright-statement>Copyright: © 2021 Maria-Theresia Verwega et al.</copyright-statement>
        <copyright-year>2021</copyright-year>
      <license license-type="open-access"><license-p>This work is licensed under the Creative Commons Attribution 4.0 International License. To view a copy of this licence, visit <ext-link ext-link-type="uri" xlink:href="https://creativecommons.org/licenses/by/4.0/">https://creativecommons.org/licenses/by/4.0/</ext-link></license-p></license></permissions><self-uri xlink:href="https://essd.copernicus.org/articles/13/4861/2021/essd-13-4861-2021.html">This article is available from https://essd.copernicus.org/articles/13/4861/2021/essd-13-4861-2021.html</self-uri><self-uri xlink:href="https://essd.copernicus.org/articles/13/4861/2021/essd-13-4861-2021.pdf">The full text article is available as a PDF file from https://essd.copernicus.org/articles/13/4861/2021/essd-13-4861-2021.pdf</self-uri>
      <abstract><title>Abstract</title>
    <p id="d1e156">Marine particulate organic carbon stable isotope ratios (<inline-formula><mml:math id="M1" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">13</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>C<inline-formula><mml:math id="M2" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">POC</mml:mi></mml:msub></mml:math></inline-formula>) provide insights into understanding carbon cycling through the atmosphere, ocean and biosphere. They have for example been used to trace the input of anthropogenic carbon in the marine ecosystem due to the distinct isotopically light signature of anthropogenic emissions. However, <inline-formula><mml:math id="M3" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">13</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>C<inline-formula><mml:math id="M4" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">POC</mml:mi></mml:msub></mml:math></inline-formula> is also significantly altered during photosynthesis by phytoplankton, which complicates its interpretation. For such purposes, robust spatio-temporal coverage of <inline-formula><mml:math id="M5" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">13</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>C<inline-formula><mml:math id="M6" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">POC</mml:mi></mml:msub></mml:math></inline-formula> observations is essential. We collected all such available data sets and merged and homogenized them to provide the largest available marine <inline-formula><mml:math id="M7" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">13</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>C<inline-formula><mml:math id="M8" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">POC</mml:mi></mml:msub></mml:math></inline-formula> data set (<ext-link xlink:href="https://doi.org/10.1594/PANGAEA.929931" ext-link-type="DOI">10.1594/PANGAEA.929931</ext-link>; <xref ref-type="bibr" rid="bib1.bibx75" id="altparen.1"/>). The data set consists of 4732 data points covering all major ocean basins beginning in the 1960s. We describe the compiled raw data, compare different observational methods, and provide key insights in the temporal and spatial distribution that is consistent with previously observed large-scale patterns. The main different sample collection methods (bottle, intake, net, trap) are generally consistent with each other when comparing within regions. An analysis of 1990s median <inline-formula><mml:math id="M9" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">13</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>C<inline-formula><mml:math id="M10" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">POC</mml:mi></mml:msub></mml:math></inline-formula> values in a meridional section across the best-covered Atlantic Ocean shows relatively high values (<inline-formula><mml:math id="M11" display="inline"><mml:mrow><mml:mo>≥</mml:mo><mml:mo>-</mml:mo><mml:mn mathvariant="normal">22</mml:mn></mml:mrow></mml:math></inline-formula> ‰) in the low latitudes (<inline-formula><mml:math id="M12" display="inline"><mml:mrow><mml:mo>&lt;</mml:mo><mml:mn mathvariant="normal">30</mml:mn></mml:mrow></mml:math></inline-formula><inline-formula><mml:math id="M13" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>) trending towards lower values in the Arctic Ocean (<inline-formula><mml:math id="M14" display="inline"><mml:mrow><mml:mo>∼</mml:mo><mml:mo>-</mml:mo><mml:mn mathvariant="normal">24</mml:mn></mml:mrow></mml:math></inline-formula> ‰) and Southern Ocean (<inline-formula><mml:math id="M15" display="inline"><mml:mrow><mml:mo>≤</mml:mo><mml:mo>-</mml:mo><mml:mn mathvariant="normal">28</mml:mn></mml:mrow></mml:math></inline-formula> ‰). The temporal trend since the 1960s shows a decrease in the median <inline-formula><mml:math id="M16" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">13</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>C<inline-formula><mml:math id="M17" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">POC</mml:mi></mml:msub></mml:math></inline-formula> by more than <inline-formula><mml:math id="M18" display="inline"><mml:mn mathvariant="normal">3</mml:mn></mml:math></inline-formula> ‰ in all basins except for the Southern Ocean, which shows a weaker trend but contains relatively poor multi-decadal coverage.</p>
  </abstract>
    </article-meta>
  </front>
<body>
      

<sec id="Ch1.S1" sec-type="intro">
  <label>1</label><title>Introduction</title>
      <p id="d1e358">Carbon is an essential element for life, and it regulates climate via its atmospheric form CO<inline-formula><mml:math id="M19" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>, a long-living greenhouse gas. Understanding carbon cycling is fundamental to reliably projecting changes in the Earth's future climate. Carbon is subject to transformation and cycling throughout the ocean, land and atmosphere. It is a major part of organic matter of all living organisms which can both consume (e.g., photosynthesis) and produce (e.g., respiration) inorganic carbon. Besides the natural cycling processes, the total amount and distribution of carbon is strongly perturbed by human activity caused by industrialization, most notably due to fossil fuel emissions, deforestation,  farming, cement production and other industrial processes. Anthropogenic CO<inline-formula><mml:math id="M20" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> emissions are one of the main driving forces of modern climate change which is likely to continue in the future <xref ref-type="bibr" rid="bib1.bibx35" id="paren.2"/>. Only about 60 % of anthropogenic CO<inline-formula><mml:math id="M21" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> emissions have been compensated for by natural sinks, including the dissolution of inorganic carbon in the ocean. This means the atmosphere has already been enriched with anthropogenic carbon by about <inline-formula><mml:math id="M22" display="inline"><mml:mn mathvariant="normal">880</mml:mn></mml:math></inline-formula> Gt CO<inline-formula><mml:math id="M23" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> since 1750 <xref ref-type="bibr" rid="bib1.bibx36" id="paren.3"/>, which is driving the increase in global temperature levels. The ocean serves as an important buffer as it absorbs a significant amount of<?pagebreak page4862?> anthropogenic carbon, with the ocean interior being the largest readily exchangeable reservoir of carbon in the Earth system.</p>
      <p id="d1e411">Marine phytoplankton convert dissolved inorganic carbon (e.g., aqueous CO<inline-formula><mml:math id="M24" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>) into organic carbon via photosynthesis in the euphotic surface layer. This organic carbon forms the base of the food web for higher tropic levels in marine ecosystems. Some particulate organic carbon (POC) sinks down to ocean depths, where it either is respired back to dissolved inorganic carbon by heterotrophic organisms or becomes buried in ocean sediments <xref ref-type="bibr" rid="bib1.bibx67" id="paren.4"/>. This process is known as the soft-tissue biological carbon pump, an important mechanism for sequestering carbon to the deep ocean from the atmosphere <xref ref-type="bibr" rid="bib1.bibx77 bib1.bibx5 bib1.bibx52" id="paren.5"/>. Since the deep ocean has a residence time of about a millennium, it is a key carbon reservoir influencing long-term climate change.</p>
      <p id="d1e429">Carbon isotopes provide additional insights into the cycling of carbon in the Earth system <xref ref-type="bibr" rid="bib1.bibx82" id="paren.6"/>. The element carbon exists in two naturally occurring stable isotopes, <inline-formula><mml:math id="M25" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">12</mml:mn></mml:msup></mml:math></inline-formula>C and <inline-formula><mml:math id="M26" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">13</mml:mn></mml:msup></mml:math></inline-formula>C, with abundances of around 98.9 % and 1.1 %, respectively. Knowledge of their pathways through carbon reservoirs can support deeper understanding of carbon transfer and can help identify carbon sources with different isotopic ratios <xref ref-type="bibr" rid="bib1.bibx60" id="paren.7"/>. Relative abundances of carbon isotopes are usually given in <inline-formula><mml:math id="M27" display="inline"><mml:mi mathvariant="italic">δ</mml:mi></mml:math></inline-formula> notation, which is based on the carbon isotope ratio <inline-formula><mml:math id="M28" display="inline"><mml:mstyle displaystyle="false"><mml:mfrac style="text"><mml:mrow><mml:msup><mml:mi/><mml:mn mathvariant="normal">13</mml:mn></mml:msup><mml:mtext>C</mml:mtext></mml:mrow><mml:mrow><mml:msup><mml:mi/><mml:mn mathvariant="normal">12</mml:mn></mml:msup><mml:mtext>C</mml:mtext></mml:mrow></mml:mfrac></mml:mstyle></mml:math></inline-formula>, standardized and given in parts per thousands as
          <disp-formula id="Ch1.E1" content-type="numbered"><label>1</label><mml:math id="M29" display="block"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">13</mml:mn></mml:msup><mml:mtext>C</mml:mtext><mml:mo>=</mml:mo><mml:mfenced close=")" open="("><mml:mrow><mml:mstyle displaystyle="true"><mml:mfrac style="display"><mml:mstyle displaystyle="false"><mml:mfrac style="text"><mml:mrow><mml:msup><mml:mi/><mml:mn mathvariant="normal">13</mml:mn></mml:msup><mml:mtext>C</mml:mtext></mml:mrow><mml:mrow><mml:msup><mml:mi/><mml:mn mathvariant="normal">12</mml:mn></mml:msup><mml:mtext>C</mml:mtext></mml:mrow></mml:mfrac></mml:mstyle><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mi mathvariant="normal">std</mml:mi></mml:msub></mml:mrow></mml:mfrac></mml:mstyle><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:mfenced><mml:mo>.</mml:mo></mml:mrow></mml:math></disp-formula>
        The constant <inline-formula><mml:math id="M30" display="inline"><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mi mathvariant="normal">std</mml:mi></mml:msub><mml:mo>=</mml:mo><mml:mn mathvariant="normal">0.0112372</mml:mn></mml:mrow></mml:math></inline-formula> is a standard ratio, originally referring to the calcareous fossil Pee Dee Belemnite. The values <inline-formula><mml:math id="M31" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">12</mml:mn></mml:msup></mml:math></inline-formula>C and <inline-formula><mml:math id="M32" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">13</mml:mn></mml:msup></mml:math></inline-formula>C are the absolute concentrations of the individual isotopes <xref ref-type="bibr" rid="bib1.bibx33" id="paren.8"/>.</p>
      <p id="d1e568">Distributed within the carbon cycle, the fractionation of <inline-formula><mml:math id="M33" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">13</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>C is influenced by biological and thermodynamic processes <xref ref-type="bibr" rid="bib1.bibx32" id="paren.9"/>. Air–sea gas exchange plays a dominant role at the ocean surface. Phytoplankton photosynthesis and POC remineralization increase their influence in the ocean interior <xref ref-type="bibr" rid="bib1.bibx32 bib1.bibx53" id="paren.10"/>. The processes are dependent on circulation and temperature, and thus their individual influence varies with geographic location <xref ref-type="bibr" rid="bib1.bibx32 bib1.bibx65" id="paren.11"/>.</p>
      <p id="d1e592">Phytoplankton preferentially incorporate (i.e., fractionate) the lighter <inline-formula><mml:math id="M34" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">12</mml:mn></mml:msup></mml:math></inline-formula>C carbon isotope into its organic matter. This fractionation causes phytoplankton organic <inline-formula><mml:math id="M35" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">13</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>C to be 10 ‰ to 25 ‰ lower than that of inorganic <inline-formula><mml:math id="M36" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">13</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>C, which depends on a variety of environmental, ecological and physiological conditions  (e.g., <xref ref-type="bibr" rid="bib1.bibx56 bib1.bibx57 bib1.bibx58 bib1.bibx59" id="altparen.12"/>). The main factors that control phytoplankton fractionation are concentrations of CO<inline-formula><mml:math id="M37" display="inline"><mml:mrow><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mo>(</mml:mo><mml:mi mathvariant="normal">aq</mml:mi><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula>, species-specific effects enforced by the phytoplankton composition and the cellular growth rate, although uncertainties remain regarding the quantification of the specific processes and mechanisms that cause variations in phytoplankton fractionation <xref ref-type="bibr" rid="bib1.bibx28 bib1.bibx43 bib1.bibx57 bib1.bibx6 bib1.bibx12" id="paren.13"><named-content content-type="pre">e.g.,</named-content></xref>.</p>
      <p id="d1e651"><inline-formula><mml:math id="M38" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">13</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>C<inline-formula><mml:math id="M39" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">POC</mml:mi></mml:msub></mml:math></inline-formula> provides insights into physical and biological carbon cycle processes in the ocean <xref ref-type="bibr" rid="bib1.bibx29" id="paren.14"><named-content content-type="pre">e.g.,</named-content></xref>. It helps to diagnose carbon pathways from the atmosphere to the deep ocean including the biological carbon pump <xref ref-type="bibr" rid="bib1.bibx38 bib1.bibx56 bib1.bibx27" id="paren.15"><named-content content-type="pre">e.g.,</named-content></xref> and assists reconstruction of oceanic carbon cycling and even plankton cell size and community structure <xref ref-type="bibr" rid="bib1.bibx74 bib1.bibx49" id="paren.16"><named-content content-type="pre">e.g.,</named-content></xref>. For example, anthropogenic carbon emissions have a distinctly low <inline-formula><mml:math id="M40" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">13</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>C content, making <inline-formula><mml:math id="M41" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">13</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>C a useful property for tracing anthropogenic carbon throughout the Earth system <xref ref-type="bibr" rid="bib1.bibx19 bib1.bibx47 bib1.bibx54" id="paren.17"/>. Atmospheric <inline-formula><mml:math id="M42" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">13</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>C<inline-formula><mml:math id="M43" display="inline"><mml:msub><mml:mi/><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:msub></mml:math></inline-formula> has decreased from <inline-formula><mml:math id="M44" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>6.5 ‰ in preindustrial times  to <inline-formula><mml:math id="M45" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>8.4 ‰ presently <xref ref-type="bibr" rid="bib1.bibx61" id="paren.18"/>. The measurable decrease due to anthropogenic fossil carbon emissions is known as the Suess effect <xref ref-type="bibr" rid="bib1.bibx41" id="paren.19"/>, which enters the ocean via air–sea gas exchange. However, changes in marine <inline-formula><mml:math id="M46" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">13</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>C<inline-formula><mml:math id="M47" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">POC</mml:mi></mml:msub></mml:math></inline-formula> are also significantly influenced by changes in phytoplankton fractionation due to other anthropogenic controls. For example increasing CO<inline-formula><mml:math id="M48" display="inline"><mml:mrow><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mo>(</mml:mo><mml:mi mathvariant="normal">aq</mml:mi><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula> concentrations increase surface <inline-formula><mml:math id="M49" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">13</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>C fractionation <xref ref-type="bibr" rid="bib1.bibx81" id="paren.20"/> and changes in phytoplankton composition and temperature influence phytoplankton growth rates and <inline-formula><mml:math id="M50" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">13</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>C fractionation over the air–sea interface <xref ref-type="bibr" rid="bib1.bibx83" id="paren.21"/>. But determination of the driving processes(es) of <inline-formula><mml:math id="M51" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">13</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>C<inline-formula><mml:math id="M52" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">POC</mml:mi></mml:msub></mml:math></inline-formula> spatial and temporal trends remains a challenge. We also stress that all of these processes are sensitive to temperature changes which adds additional complexity to understanding how fractionation may change in space and time. A better understanding of the contributions from all of these effects requires a robust global data set of <inline-formula><mml:math id="M53" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">13</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>C<inline-formula><mml:math id="M54" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">POC</mml:mi></mml:msub></mml:math></inline-formula>.</p>
      <p id="d1e865">Theoretical projection and understanding of changes associated with <inline-formula><mml:math id="M55" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">13</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>C<inline-formula><mml:math id="M56" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">POC</mml:mi></mml:msub></mml:math></inline-formula> can be executed by models of different scales, which include <inline-formula><mml:math id="M57" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">13</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>C<inline-formula><mml:math id="M58" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">POC</mml:mi></mml:msub></mml:math></inline-formula> circulation. Earth system models serve to simulate and test hypotheses in different scenarios as unbiased assessments <xref ref-type="bibr" rid="bib1.bibx36" id="paren.22"><named-content content-type="pre">e.g.,</named-content></xref> and may support future decision-making. Besides resolving the mass flux of carbon, many models also simulate stable carbon isotopes <xref ref-type="bibr" rid="bib1.bibx64 bib1.bibx7 bib1.bibx34 bib1.bibx37 bib1.bibx68 bib1.bibx53 bib1.bibx51" id="paren.23"><named-content content-type="pre">e.g.,</named-content></xref>. For reliable calibrations and validations of such processed-based mechanistic models, a spatially and temporally comprehensive data set is essential. This additional constraint provided by marine <inline-formula><mml:math id="M59" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">13</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>C<inline-formula><mml:math id="M60" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">POC</mml:mi></mml:msub></mml:math></inline-formula> assists the reconstruction of oceanic carbon cycling including how much anthropogenic carbon is entering marine ecosystems and being exported to the deep ocean. But until today, there has been a lack of suitable data sets as constraints. This results in large and mostly unknown uncertainties in model results.</p>
      <?pagebreak page4863?><p id="d1e939">Data sets of marine <inline-formula><mml:math id="M61" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">13</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>C<inline-formula><mml:math id="M62" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">POC</mml:mi></mml:msub></mml:math></inline-formula> improve our understanding of marine carbon cycling by providing another independent constraint. Recent model approaches support long-term past climate projections <xref ref-type="bibr" rid="bib1.bibx70" id="paren.24"/> and assess estimations of the Suess effect <xref ref-type="bibr" rid="bib1.bibx48" id="paren.25"/>. To date, numerous individual <inline-formula><mml:math id="M63" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">13</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>C<inline-formula><mml:math id="M64" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">POC</mml:mi></mml:msub></mml:math></inline-formula> data sets exist, while the number of accessible, merged data sets is lacking. Existing merged data sets contain data from several sources but have often been focused on a specific region or process <xref ref-type="bibr" rid="bib1.bibx31 bib1.bibx74" id="paren.26"><named-content content-type="pre">e.g.,</named-content></xref>. Individual data sets are usually collected during a specific cruise or time series station and are often neglected since they contain relatively few data. Such data sets can easily be accessed on data platforms such as PANGAEA and, when combined, they can represent an important and significant source of data.</p>
      <p id="d1e994">In this study, we provide a novel merged seawater <inline-formula><mml:math id="M65" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">13</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>C<inline-formula><mml:math id="M66" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">POC</mml:mi></mml:msub></mml:math></inline-formula> data product <xref ref-type="bibr" rid="bib1.bibx75" id="paren.27"/> that – to our knowledge – contains the most expansive spatio-temporal coverage to date. It contains all available <inline-formula><mml:math id="M67" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">13</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>C<inline-formula><mml:math id="M68" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">POC</mml:mi></mml:msub></mml:math></inline-formula> seawater data from PANGAEA and the merged data sets by <xref ref-type="bibr" rid="bib1.bibx31" id="text.28"/>, <xref ref-type="bibr" rid="bib1.bibx74" id="text.29"/> and <xref ref-type="bibr" rid="bib1.bibx81" id="text.30"/>, as well as unpublished data from different cruises by Anne Lorrain. No data were excluded, even if sampled at extreme locations (e.g.,  trenches, hydrothermal vents). The metadata comprise information about the sampling location, time, depth and method as well as the original source, which makes original raw data values, methods, and further technical description easily accessible. Provided data files are Network Common Data Form (NetCDF) files interpolated onto two different global grids and a csv file that includes the data and their anomalies with respect to their overall mean together with all corresponding available meta-information.</p>
      <p id="d1e1050">The paper is structured as follows: we provide a brief overview of <inline-formula><mml:math id="M69" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">13</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>C<inline-formula><mml:math id="M70" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">POC</mml:mi></mml:msub></mml:math></inline-formula> data acquisition in Sect. <xref ref-type="sec" rid="Ch1.S2"/> and their compilation and metadata in Sect. <xref ref-type="sec" rid="Ch1.S3"/>. The characteristics of the collected <inline-formula><mml:math id="M71" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">13</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>C<inline-formula><mml:math id="M72" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">POC</mml:mi></mml:msub></mml:math></inline-formula> data are shown in Sect. <xref ref-type="sec" rid="Ch1.S4"/>. We present their spatial distribution in Sect. <xref ref-type="sec" rid="Ch1.S5"/> and temporal distribution in Sect. <xref ref-type="sec" rid="Ch1.S6"/>. Lastly, we provide a short summary and concluding remarks.</p>
</sec>
<sec id="Ch1.S2">
  <label>2</label><title>Data acquisition</title>
      <p id="d1e1112">The data set includes 4732 entries for <inline-formula><mml:math id="M73" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">13</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>C<inline-formula><mml:math id="M74" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">POC</mml:mi></mml:msub></mml:math></inline-formula> from 185 different sources and ranges from the 1960s to the 2010s. In addition to many data sets from the data platform PANGAEA, we included unpublished data provided by Anne Lorrain and the data products from <xref ref-type="bibr" rid="bib1.bibx74" id="text.31"/>, <xref ref-type="bibr" rid="bib1.bibx31" id="text.32"/> and <xref ref-type="bibr" rid="bib1.bibx81" id="text.33"/>. The adjustments that we conducted are described in the following.</p>
<sec id="Ch1.S2.SS1">
  <label>2.1</label><title>Data sources</title>
      <p id="d1e1151">As a basis of our data set, we chose the 1990s data collection by <xref ref-type="bibr" rid="bib1.bibx31" id="text.34"/>. This was established to investigate variations in <inline-formula><mml:math id="M75" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">13</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>C<inline-formula><mml:math id="M76" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">POC</mml:mi></mml:msub></mml:math></inline-formula> with temperature and latitude. The <inline-formula><mml:math id="M77" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">13</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>C<inline-formula><mml:math id="M78" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">POC</mml:mi></mml:msub></mml:math></inline-formula> sample data and measurements were conducted by investigating zooplankton, net plankton or particulate organic matter. We cross-checked and extended this data set by looking up all available primary sources. <xref ref-type="bibr" rid="bib1.bibx31" id="text.35"/> originally included 476 <inline-formula><mml:math id="M79" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">13</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>C<inline-formula><mml:math id="M80" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">POC</mml:mi></mml:msub></mml:math></inline-formula> data points from 17 contributions. The largest contributions came from <xref ref-type="bibr" rid="bib1.bibx22" id="text.36"/> with 107 entries, <xref ref-type="bibr" rid="bib1.bibx25" id="text.37"/> with 97, and <xref ref-type="bibr" rid="bib1.bibx24 bib1.bibx23" id="text.38"/> with 78. Large extensions were possible, e.g., in the <xref ref-type="bibr" rid="bib1.bibx22" id="text.39"/> and <xref ref-type="bibr" rid="bib1.bibx18" id="text.40"/> data sets, incorporating more than 70 additional data points from these primary sources. With this extension, we could increase the data set to 626 data points for <inline-formula><mml:math id="M81" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">13</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>C<inline-formula><mml:math id="M82" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">POC</mml:mi></mml:msub></mml:math></inline-formula>.</p>
      <p id="d1e1257">We collected most data from the PANGAEA data platform, an open-access online library archiving and providing geo-referenced Earth system data, hosted and monitored by the <xref ref-type="bibr" rid="bib1.bibx2" id="text.41"/> – Helmholtz Centre for Polar and Marine Research (AWI) – and the Center for Marine Environmental Sciences, University of Bremen (MARUM). With the data made available therein, we could further extend the data set by an additional <inline-formula><mml:math id="M83" display="inline"><mml:mo>∼</mml:mo></mml:math></inline-formula> 3500 measurements of <inline-formula><mml:math id="M84" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">13</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>C<inline-formula><mml:math id="M85" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">POC</mml:mi></mml:msub></mml:math></inline-formula>. Most <inline-formula><mml:math id="M86" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">13</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>C<inline-formula><mml:math id="M87" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">POC</mml:mi></mml:msub></mml:math></inline-formula> data from PANGAEA are associated with samples collected during the Joint Global Ocean Flux Study <xref ref-type="bibr" rid="bib1.bibx39" id="paren.42"/>, with more than 2000 <inline-formula><mml:math id="M88" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">13</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>C<inline-formula><mml:math id="M89" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">POC</mml:mi></mml:msub></mml:math></inline-formula> data points. Additionally, 529 samples are contributions by the Antarctic Environment and Southern Ocean Process Study <xref ref-type="bibr" rid="bib1.bibx1" id="paren.43"/>, 342 are by the Archive of Ocean Data <xref ref-type="bibr" rid="bib1.bibx20" id="paren.44"/> and 279 are by the SFB313 research project <xref ref-type="bibr" rid="bib1.bibx69" id="paren.45"/>.</p>
      <p id="d1e1344">Other collected data were provided by Robyn Tuerena and Anne Lorrain. Robyn Tuerena provided a data contribution coming from the data set mentioned in <xref ref-type="bibr" rid="bib1.bibx74" id="text.46"/>, which we will refer to as the Tuerena data set. This contains 595 data points including 501 from <xref ref-type="bibr" rid="bib1.bibx81" id="text.47"/> and covers samples within the euphotic zone and an observation time frame of 1964–2012. Moreover, we included 69 unpublished data points provided by Anne Lorrain, covering the years 2012–2015 and sampled during the cruises CASSIOPEE, PANDORA, OUTPACE, NECTALIS-3, NECTALIS-4 and KH-13. We refer to this data set as the Lorrain data set.</p>
      <p id="d1e1353">A recent collection of 303 measurements of <inline-formula><mml:math id="M90" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">13</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>C<inline-formula><mml:math id="M91" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">POC</mml:mi></mml:msub></mml:math></inline-formula> has been provided by <xref ref-type="bibr" rid="bib1.bibx14" id="text.48"/>, largely based on data gathered from individual publications referenced therein. Since our analyses originally relied on data sources that differed from those of <xref ref-type="bibr" rid="bib1.bibx14" id="text.49"/>, we find our collection to be as yet incomplete. Especially measurements from national databases might provide a huge future benefit.</p>
</sec>
<sec id="Ch1.S2.SS2">
  <label>2.2</label><title>Adjustments made</title>
      <p id="d1e1390">All data were taken with as many details as possible from the sources and have been reshaped to fit the structure of the data set. No rounding or cutoff of detailed data was<?pagebreak page4864?> made. Spatial coordinates originally given as depth intervals were replaced by their respective midpoints. Time intervals were not changed in this way. If they contained just 1 month or year, this was included; otherwise the time information was omitted. Sample depth given as “surface”  was denoted as 1 <inline-formula><mml:math id="M92" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:math></inline-formula>. Longitude values were converted to the format <inline-formula><mml:math id="M93" display="inline"><mml:mrow><mml:mo>[</mml:mo><mml:mo>-</mml:mo><mml:mn mathvariant="normal">180</mml:mn><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup><mml:mo>,</mml:mo><mml:mn mathvariant="normal">180</mml:mn><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup><mml:mo>]</mml:mo></mml:mrow></mml:math></inline-formula> by the transformation
            <disp-formula id="Ch1.E2" content-type="numbered"><label>2</label><mml:math id="M94" display="block"><mml:mrow><?xmltex \hack{\hbox\bgroup\fontsize{8.9}{8.9}\selectfont$\displaystyle}?><mml:msub><mml:mi mathvariant="normal">Long</mml:mi><mml:mi mathvariant="normal">new</mml:mi></mml:msub><mml:mo>=</mml:mo><mml:mfenced open="{" close=""><mml:mtable columnspacing="1em" rowspacing="0.2ex" class="cases" columnalign="left left" framespacing="0em"><mml:mtr><mml:mtd><mml:mrow><mml:msub><mml:mi mathvariant="normal">Long</mml:mi><mml:mi mathvariant="normal">old</mml:mi></mml:msub><mml:mo>-</mml:mo><mml:mn mathvariant="normal">360</mml:mn><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:mrow></mml:mtd><mml:mtd><mml:mrow><mml:mtext>for all </mml:mtext><mml:msub><mml:mi mathvariant="normal">Long</mml:mi><mml:mi mathvariant="normal">old</mml:mi></mml:msub><mml:mo>∈</mml:mo><mml:mfenced open="(" close="]"><mml:mrow><mml:mn mathvariant="normal">180</mml:mn><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup><mml:mo>,</mml:mo><mml:mn mathvariant="normal">360</mml:mn><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:mrow></mml:mfenced></mml:mrow></mml:mtd></mml:mtr><mml:mtr><mml:mtd><mml:mrow><mml:msub><mml:mi mathvariant="normal">Long</mml:mi><mml:mi mathvariant="normal">old</mml:mi></mml:msub></mml:mrow></mml:mtd><mml:mtd><mml:mtext>otherwise.</mml:mtext></mml:mtd></mml:mtr></mml:mtable></mml:mfenced><?xmltex \hack{$\egroup}?></mml:mrow></mml:math></disp-formula>
          Wherever possible the data were taken from their original publication. Changes made to the data by <xref ref-type="bibr" rid="bib1.bibx31" id="text.50"/> are described in Table <xref ref-type="table" rid="Ch1.T1"/> and changes to all other data in Table <xref ref-type="table" rid="Ch1.T2"/>. The complete structure is presented in Table <xref ref-type="table" rid="Ch1.T3"/>.</p>

<?xmltex \floatpos{p}?><table-wrap id="Ch1.T1" specific-use="star"><?xmltex \currentcnt{1}?><label>Table 1</label><caption><p id="d1e1511">Changes that were introduced into data taken from <xref ref-type="bibr" rid="bib1.bibx31" id="text.51"/>: the first column names the publication or author of the primary data set. The second column lists in which part of the data we applied changes. The third and fourth columns show what these changes were, and the last column gives the reason for this.</p></caption><oasis:table frame="topbot"><oasis:tgroup cols="5">
     <oasis:colspec colnum="1" colname="col1" align="left"/>
     <oasis:colspec colnum="2" colname="col2" align="left"/>
     <oasis:colspec colnum="3" colname="col3" align="left"/>
     <oasis:colspec colnum="4" colname="col4" align="left"/>
     <oasis:colspec colnum="5" colname="col5" align="left"/>
     <oasis:thead>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1">Data set</oasis:entry>
         <oasis:entry colname="col2">Changed</oasis:entry>
         <oasis:entry colname="col3">From</oasis:entry>
         <oasis:entry colname="col4">To</oasis:entry>
         <oasis:entry colname="col5">Reason</oasis:entry>
       </oasis:row>
     </oasis:thead>
     <oasis:tbody>
       <oasis:row>
         <oasis:entry colname="col1">
                    <xref ref-type="bibr" rid="bib1.bibx15" id="text.52"/>
                  </oasis:entry>
         <oasis:entry colname="col2">long</oasis:entry>
         <oasis:entry colname="col3">
                    <xref ref-type="bibr" rid="bib1.bibx31" id="text.53"/>
                  </oasis:entry>
         <oasis:entry colname="col4">source value</oasis:entry>
         <oasis:entry colname="col5">E and W interchanged</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">
                    <xref ref-type="bibr" rid="bib1.bibx18" id="text.54"/>
                  </oasis:entry>
         <oasis:entry colname="col2">long</oasis:entry>
         <oasis:entry colname="col3">
                    <xref ref-type="bibr" rid="bib1.bibx31" id="text.55"/>
                  </oasis:entry>
         <oasis:entry colname="col4">source value</oasis:entry>
         <oasis:entry colname="col5">E and W interchanged</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">
                    <xref ref-type="bibr" rid="bib1.bibx22" id="text.56"/>
                  </oasis:entry>
         <oasis:entry colname="col2">long</oasis:entry>
         <oasis:entry colname="col3">
                    <xref ref-type="bibr" rid="bib1.bibx31" id="text.57"/>
                  </oasis:entry>
         <oasis:entry colname="col4">source value</oasis:entry>
         <oasis:entry colname="col5">E and W interchanged</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">
                    <xref ref-type="bibr" rid="bib1.bibx23" id="text.58"/>
                  </oasis:entry>
         <oasis:entry colname="col2">long</oasis:entry>
         <oasis:entry colname="col3">
                    <xref ref-type="bibr" rid="bib1.bibx31" id="text.59"/>
                  </oasis:entry>
         <oasis:entry colname="col4">source value</oasis:entry>
         <oasis:entry colname="col5">E and W interchanged</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"><xref ref-type="bibr" rid="bib1.bibx24" id="text.60"/>, MD13 Osiris III</oasis:entry>
         <oasis:entry colname="col2">long</oasis:entry>
         <oasis:entry colname="col3">
                    <xref ref-type="bibr" rid="bib1.bibx31" id="text.61"/>
                  </oasis:entry>
         <oasis:entry colname="col4">source value</oasis:entry>
         <oasis:entry colname="col5">E and W interchanged</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">
                    <xref ref-type="bibr" rid="bib1.bibx26" id="text.62"/>
                  </oasis:entry>
         <oasis:entry colname="col2">long</oasis:entry>
         <oasis:entry colname="col3">
                    <xref ref-type="bibr" rid="bib1.bibx31" id="text.63"/>
                  </oasis:entry>
         <oasis:entry colname="col4">source value</oasis:entry>
         <oasis:entry colname="col5">E and W interchanged</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Harrison<inline-formula><mml:math id="M96" display="inline"><mml:msup><mml:mi/><mml:mo>∗</mml:mo></mml:msup></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col2">long</oasis:entry>
         <oasis:entry colname="col3">
                    <xref ref-type="bibr" rid="bib1.bibx31" id="text.64"/>
                  </oasis:entry>
         <oasis:entry colname="col4">source value</oasis:entry>
         <oasis:entry colname="col5">E and W interchanged</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">
                    <xref ref-type="bibr" rid="bib1.bibx62" id="text.65"/>
                  </oasis:entry>
         <oasis:entry colname="col2">long</oasis:entry>
         <oasis:entry colname="col3">
                    <xref ref-type="bibr" rid="bib1.bibx31" id="text.66"/>
                  </oasis:entry>
         <oasis:entry colname="col4">source value</oasis:entry>
         <oasis:entry colname="col5">E and W interchanged</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">
                    <xref ref-type="bibr" rid="bib1.bibx63" id="text.67"/>
                  </oasis:entry>
         <oasis:entry colname="col2">long</oasis:entry>
         <oasis:entry colname="col3">
                    <xref ref-type="bibr" rid="bib1.bibx31" id="text.68"/>
                  </oasis:entry>
         <oasis:entry colname="col4">source value</oasis:entry>
         <oasis:entry colname="col5">E and W interchanged</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">
                    <xref ref-type="bibr" rid="bib1.bibx79" id="text.69"/>
                  </oasis:entry>
         <oasis:entry colname="col2">long</oasis:entry>
         <oasis:entry colname="col3">
                    <xref ref-type="bibr" rid="bib1.bibx31" id="text.70"/>
                  </oasis:entry>
         <oasis:entry colname="col4">source value</oasis:entry>
         <oasis:entry colname="col5">E and W interchanged</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">
                    <xref ref-type="bibr" rid="bib1.bibx18" id="text.71"/>
                  </oasis:entry>
         <oasis:entry colname="col2">lat, long</oasis:entry>
         <oasis:entry colname="col3">
                    <xref ref-type="bibr" rid="bib1.bibx31" id="text.72"/>
                  </oasis:entry>
         <oasis:entry colname="col4">source value</oasis:entry>
         <oasis:entry colname="col5">rounded in <xref ref-type="bibr" rid="bib1.bibx31" id="text.73"/></oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"><xref ref-type="bibr" rid="bib1.bibx22" id="text.74"/> all but INDOMED leg 12</oasis:entry>
         <oasis:entry colname="col2">lat, long</oasis:entry>
         <oasis:entry colname="col3">
                    <xref ref-type="bibr" rid="bib1.bibx31" id="text.75"/>
                  </oasis:entry>
         <oasis:entry colname="col4">source value</oasis:entry>
         <oasis:entry colname="col5">rounded in <xref ref-type="bibr" rid="bib1.bibx31" id="text.76"/></oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">
                    <xref ref-type="bibr" rid="bib1.bibx23" id="text.77"/>
                  </oasis:entry>
         <oasis:entry colname="col2">lat, long</oasis:entry>
         <oasis:entry colname="col3">
                    <xref ref-type="bibr" rid="bib1.bibx31" id="text.78"/>
                  </oasis:entry>
         <oasis:entry colname="col4">source value</oasis:entry>
         <oasis:entry colname="col5">rounded in <xref ref-type="bibr" rid="bib1.bibx31" id="text.79"/></oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">
                    <xref ref-type="bibr" rid="bib1.bibx24" id="text.80"/>
                  </oasis:entry>
         <oasis:entry colname="col2">lat, long</oasis:entry>
         <oasis:entry colname="col3">
                    <xref ref-type="bibr" rid="bib1.bibx31" id="text.81"/>
                  </oasis:entry>
         <oasis:entry colname="col4">source value</oasis:entry>
         <oasis:entry colname="col5">rounded in <xref ref-type="bibr" rid="bib1.bibx31" id="text.82"/></oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">
                    <xref ref-type="bibr" rid="bib1.bibx26" id="text.83"/>
                  </oasis:entry>
         <oasis:entry colname="col2">lat, long</oasis:entry>
         <oasis:entry colname="col3">
                    <xref ref-type="bibr" rid="bib1.bibx31" id="text.84"/>
                  </oasis:entry>
         <oasis:entry colname="col4">source value</oasis:entry>
         <oasis:entry colname="col5">rounded in <xref ref-type="bibr" rid="bib1.bibx31" id="text.85"/></oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">
                    <xref ref-type="bibr" rid="bib1.bibx62" id="text.86"/>
                  </oasis:entry>
         <oasis:entry colname="col2">lat, long</oasis:entry>
         <oasis:entry colname="col3">
                    <xref ref-type="bibr" rid="bib1.bibx31" id="text.87"/>
                  </oasis:entry>
         <oasis:entry colname="col4">source value</oasis:entry>
         <oasis:entry colname="col5">rounded in <xref ref-type="bibr" rid="bib1.bibx31" id="text.88"/></oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">
                    <xref ref-type="bibr" rid="bib1.bibx18" id="text.89"/>
                  </oasis:entry>
         <oasis:entry colname="col2"><inline-formula><mml:math id="M97" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">13</mml:mn></mml:msup><mml:msub><mml:mtext>C</mml:mtext><mml:mi mathvariant="normal">POC</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col3">not included</oasis:entry>
         <oasis:entry colname="col4">added</oasis:entry>
         <oasis:entry colname="col5">not included in <xref ref-type="bibr" rid="bib1.bibx31" id="text.90"/></oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">
                    <xref ref-type="bibr" rid="bib1.bibx22" id="text.91"/>
                  </oasis:entry>
         <oasis:entry colname="col2"><inline-formula><mml:math id="M98" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">13</mml:mn></mml:msup><mml:msub><mml:mtext>C</mml:mtext><mml:mi mathvariant="normal">POC</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col3">not included</oasis:entry>
         <oasis:entry colname="col4">added</oasis:entry>
         <oasis:entry colname="col5">not included in <xref ref-type="bibr" rid="bib1.bibx31" id="text.92"/></oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">
                    <xref ref-type="bibr" rid="bib1.bibx62" id="text.93"/>
                  </oasis:entry>
         <oasis:entry colname="col2"><inline-formula><mml:math id="M99" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">13</mml:mn></mml:msup><mml:msub><mml:mtext>C</mml:mtext><mml:mi mathvariant="normal">POC</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col3">not included</oasis:entry>
         <oasis:entry colname="col4">added</oasis:entry>
         <oasis:entry colname="col5">not included in <xref ref-type="bibr" rid="bib1.bibx31" id="text.94"/></oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">
                    <xref ref-type="bibr" rid="bib1.bibx79" id="text.95"/>
                  </oasis:entry>
         <oasis:entry colname="col2"><inline-formula><mml:math id="M100" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">13</mml:mn></mml:msup><mml:msub><mml:mtext>C</mml:mtext><mml:mi mathvariant="normal">POC</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col3">not included</oasis:entry>
         <oasis:entry colname="col4">added</oasis:entry>
         <oasis:entry colname="col5">not included in <xref ref-type="bibr" rid="bib1.bibx31" id="text.96"/></oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">
                    <xref ref-type="bibr" rid="bib1.bibx22" id="text.97"/>
                  </oasis:entry>
         <oasis:entry colname="col2"><inline-formula><mml:math id="M101" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">13</mml:mn></mml:msup><mml:msub><mml:mtext>C</mml:mtext><mml:mi mathvariant="normal">POC</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col3">
                    <xref ref-type="bibr" rid="bib1.bibx31" id="text.98"/>
                  </oasis:entry>
         <oasis:entry colname="col4">source value</oasis:entry>
         <oasis:entry colname="col5">rounded in <xref ref-type="bibr" rid="bib1.bibx31" id="text.99"/></oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">
                    <xref ref-type="bibr" rid="bib1.bibx23" id="text.100"/>
                  </oasis:entry>
         <oasis:entry colname="col2"><inline-formula><mml:math id="M102" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">13</mml:mn></mml:msup><mml:msub><mml:mtext>C</mml:mtext><mml:mi mathvariant="normal">POC</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col3">
                    <xref ref-type="bibr" rid="bib1.bibx31" id="text.101"/>
                  </oasis:entry>
         <oasis:entry colname="col4">source value</oasis:entry>
         <oasis:entry colname="col5">rounded in <xref ref-type="bibr" rid="bib1.bibx31" id="text.102"/></oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">
                    <xref ref-type="bibr" rid="bib1.bibx24" id="text.103"/>
                  </oasis:entry>
         <oasis:entry colname="col2"><inline-formula><mml:math id="M103" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">13</mml:mn></mml:msup><mml:msub><mml:mtext>C</mml:mtext><mml:mi mathvariant="normal">POC</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col3">
                    <xref ref-type="bibr" rid="bib1.bibx31" id="text.104"/>
                  </oasis:entry>
         <oasis:entry colname="col4">source value</oasis:entry>
         <oasis:entry colname="col5">rounded in <xref ref-type="bibr" rid="bib1.bibx31" id="text.105"/></oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">
                    <xref ref-type="bibr" rid="bib1.bibx22" id="text.106"/>
                  </oasis:entry>
         <oasis:entry colname="col2">temperature</oasis:entry>
         <oasis:entry colname="col3">
                    <xref ref-type="bibr" rid="bib1.bibx31" id="text.107"/>
                  </oasis:entry>
         <oasis:entry colname="col4">source value</oasis:entry>
         <oasis:entry colname="col5">rounded in <xref ref-type="bibr" rid="bib1.bibx31" id="text.108"/></oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">
                    <xref ref-type="bibr" rid="bib1.bibx24" id="text.109"/>
                  </oasis:entry>
         <oasis:entry colname="col2">temperature</oasis:entry>
         <oasis:entry colname="col3">
                    <xref ref-type="bibr" rid="bib1.bibx31" id="text.110"/>
                  </oasis:entry>
         <oasis:entry colname="col4">source value</oasis:entry>
         <oasis:entry colname="col5">rounded in <xref ref-type="bibr" rid="bib1.bibx31" id="text.111"/></oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">
                    <xref ref-type="bibr" rid="bib1.bibx26" id="text.112"/>
                  </oasis:entry>
         <oasis:entry colname="col2">temperature</oasis:entry>
         <oasis:entry colname="col3">
                    <xref ref-type="bibr" rid="bib1.bibx31" id="text.113"/>
                  </oasis:entry>
         <oasis:entry colname="col4">source value</oasis:entry>
         <oasis:entry colname="col5">rounded in <xref ref-type="bibr" rid="bib1.bibx31" id="text.114"/></oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">
                    <xref ref-type="bibr" rid="bib1.bibx62" id="text.115"/>
                  </oasis:entry>
         <oasis:entry colname="col2">temperature</oasis:entry>
         <oasis:entry colname="col3">
                    <xref ref-type="bibr" rid="bib1.bibx31" id="text.116"/>
                  </oasis:entry>
         <oasis:entry colname="col4">source value</oasis:entry>
         <oasis:entry colname="col5">rounded in <xref ref-type="bibr" rid="bib1.bibx31" id="text.117"/></oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">
                    <xref ref-type="bibr" rid="bib1.bibx22" id="text.118"/>
                  </oasis:entry>
         <oasis:entry colname="col2"><inline-formula><mml:math id="M104" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">13</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>C<inline-formula><mml:math id="M105" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">POC</mml:mi></mml:msub></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col3">
                    <xref ref-type="bibr" rid="bib1.bibx31" id="text.119"/>
                  </oasis:entry>
         <oasis:entry colname="col4">deleted</oasis:entry>
         <oasis:entry colname="col5">not found in source</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">
                    <xref ref-type="bibr" rid="bib1.bibx23" id="text.120"/>
                  </oasis:entry>
         <oasis:entry colname="col2">temperature</oasis:entry>
         <oasis:entry colname="col3">
                    <xref ref-type="bibr" rid="bib1.bibx31" id="text.121"/>
                  </oasis:entry>
         <oasis:entry colname="col4">deleted</oasis:entry>
         <oasis:entry colname="col5">not found in source</oasis:entry>
       </oasis:row>
     </oasis:tbody>
   </oasis:tgroup></oasis:table><table-wrap-foot><p id="d1e1517"><inline-formula><mml:math id="M95" display="inline"><mml:msup><mml:mi/><mml:mo>∗</mml:mo></mml:msup></mml:math></inline-formula> The original source was not available, but we highly suspected an error in the coordinates that interchanged east and west.</p></table-wrap-foot></table-wrap>

<?xmltex \floatpos{p}?><table-wrap id="Ch1.T2" specific-use="star"><?xmltex \currentcnt{2}?><label>Table 2</label><caption><p id="d1e2412">Changes made in other data: this table's structure is equivalent that of to Table <xref ref-type="table" rid="Ch1.T1"/>. It refers to all changes made in general and any data other than the <xref ref-type="bibr" rid="bib1.bibx31" id="text.122"/> data.</p></caption><oasis:table frame="topbot"><?xmltex \begin{scaleboxenv}{.98}[.98]?><oasis:tgroup cols="5">
     <oasis:colspec colnum="1" colname="col1" align="left"/>
     <oasis:colspec colnum="2" colname="col2" align="left"/>
     <oasis:colspec colnum="3" colname="col3" align="left"/>
     <oasis:colspec colnum="4" colname="col4" align="left"/>
     <oasis:colspec colnum="5" colname="col5" align="left"/>
     <oasis:thead>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1">Data set</oasis:entry>
         <oasis:entry colname="col2">Changed</oasis:entry>
         <oasis:entry colname="col3">From</oasis:entry>
         <oasis:entry colname="col4">To</oasis:entry>
         <oasis:entry colname="col5">Reason</oasis:entry>
       </oasis:row>
     </oasis:thead>
     <oasis:tbody>
       <oasis:row>
         <oasis:entry colname="col1">Any</oasis:entry>
         <oasis:entry colname="col2">depth</oasis:entry>
         <oasis:entry colname="col3">“surface”</oasis:entry>
         <oasis:entry colname="col4">1</oasis:entry>
         <oasis:entry colname="col5">comparability</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Any</oasis:entry>
         <oasis:entry colname="col2">depth</oasis:entry>
         <oasis:entry colname="col3">depth range</oasis:entry>
         <oasis:entry colname="col4">average<inline-formula><mml:math id="M109" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">1</mml:mn></mml:msup></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col5">comparability</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"><xref ref-type="bibr" rid="bib1.bibx72" id="text.123"/></oasis:entry>
         <oasis:entry colname="col2"><inline-formula><mml:math id="M110" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">13</mml:mn></mml:msup><mml:msub><mml:mtext>C</mml:mtext><mml:mi mathvariant="normal">POC</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col3">three available</oasis:entry>
         <oasis:entry colname="col4">“blank correction”</oasis:entry>
         <oasis:entry colname="col5">mentioned in <xref ref-type="bibr" rid="bib1.bibx71" id="text.124"/></oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"><xref ref-type="bibr" rid="bib1.bibx73" id="text.125"/></oasis:entry>
         <oasis:entry colname="col2"><inline-formula><mml:math id="M111" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">13</mml:mn></mml:msup><mml:msub><mml:mtext>C</mml:mtext><mml:mi mathvariant="normal">POC</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col3">three available</oasis:entry>
         <oasis:entry colname="col4">“blank correction”</oasis:entry>
         <oasis:entry colname="col5">mentioned in <xref ref-type="bibr" rid="bib1.bibx71" id="text.126"/></oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Any using sediment traps</oasis:entry>
         <oasis:entry colname="col2">month, year</oasis:entry>
         <oasis:entry colname="col3">range</oasis:entry>
         <oasis:entry colname="col4">explicit value<inline-formula><mml:math id="M112" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col5">comparability</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"><xref ref-type="bibr" rid="bib1.bibx13" id="text.127"/></oasis:entry>
         <oasis:entry colname="col2">month, year</oasis:entry>
         <oasis:entry colname="col3">range</oasis:entry>
         <oasis:entry colname="col4">explicit number</oasis:entry>
         <oasis:entry colname="col5">just one date for trap sampling given</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Lorrain</oasis:entry>
         <oasis:entry colname="col2">project/cruise</oasis:entry>
         <oasis:entry colname="col3"/>
         <oasis:entry colname="col4">“campaign”</oasis:entry>
         <oasis:entry colname="col5">provided by Anne Lorrain</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Tuerena</oasis:entry>
         <oasis:entry colname="col2">project/cruise</oasis:entry>
         <oasis:entry colname="col3"/>
         <oasis:entry colname="col4">“source”</oasis:entry>
         <oasis:entry colname="col5">provided by Robyn Tuerena</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Tuerena</oasis:entry>
         <oasis:entry colname="col2">long</oasis:entry>
         <oasis:entry colname="col3"><inline-formula><mml:math id="M113" display="inline"><mml:mrow><mml:mo>[</mml:mo><mml:mn mathvariant="normal">0</mml:mn><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup><mml:mo>,</mml:mo><mml:mn mathvariant="normal">360</mml:mn><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup><mml:mo>]</mml:mo></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col4"><inline-formula><mml:math id="M114" display="inline"><mml:mrow><mml:mo>[</mml:mo><mml:mo>-</mml:mo><mml:mn mathvariant="normal">180</mml:mn><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup><mml:mo>,</mml:mo><mml:mn mathvariant="normal">180</mml:mn><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup><mml:msup><mml:mo>]</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col5">comparability</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Lorrain</oasis:entry>
         <oasis:entry colname="col2">long</oasis:entry>
         <oasis:entry colname="col3"><inline-formula><mml:math id="M115" display="inline"><mml:mrow><mml:mo>[</mml:mo><mml:mn mathvariant="normal">0</mml:mn><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup><mml:mo>,</mml:mo><mml:mn mathvariant="normal">360</mml:mn><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup><mml:mo>]</mml:mo></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col4"><inline-formula><mml:math id="M116" display="inline"><mml:mrow><mml:mo>[</mml:mo><mml:mo>-</mml:mo><mml:mn mathvariant="normal">180</mml:mn><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup><mml:mo>,</mml:mo><mml:mn mathvariant="normal">180</mml:mn><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup><mml:msup><mml:mo>]</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col5">comparability</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"><xref ref-type="bibr" rid="bib1.bibx50" id="text.128"/></oasis:entry>
         <oasis:entry colname="col2">depth</oasis:entry>
         <oasis:entry colname="col3">original</oasis:entry>
         <oasis:entry colname="col4">deleted</oasis:entry>
         <oasis:entry colname="col5">suspected typo</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"><xref ref-type="bibr" rid="bib1.bibx78" id="text.129"/></oasis:entry>
         <oasis:entry colname="col2">trap duration</oasis:entry>
         <oasis:entry colname="col3">original</oasis:entry>
         <oasis:entry colname="col4">deleted</oasis:entry>
         <oasis:entry colname="col5">suspected typo</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"><xref ref-type="bibr" rid="bib1.bibx16" id="text.130"/></oasis:entry>
         <oasis:entry colname="col2">method</oasis:entry>
         <oasis:entry colname="col3">multiple investigations</oasis:entry>
         <oasis:entry colname="col4">in situ pump</oasis:entry>
         <oasis:entry colname="col5">found in <xref ref-type="bibr" rid="bib1.bibx17" id="text.131"/></oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2"/>
         <oasis:entry colname="col3">(MULT)</oasis:entry>
         <oasis:entry colname="col4"/>
         <oasis:entry colname="col5"/>
       </oasis:row>
     </oasis:tbody>
   </oasis:tgroup><?xmltex \end{scaleboxenv}?></oasis:table><table-wrap-foot><p id="d1e2420"><inline-formula><mml:math id="M106" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">1</mml:mn></mml:msup></mml:math></inline-formula> By arithmetic mean.
<inline-formula><mml:math id="M107" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:math></inline-formula> Only for sample durations entirely within an explicit month and year, otherwise information on time frames has been discarded.
<inline-formula><mml:math id="M108" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msup></mml:math></inline-formula> We applied Eq. (<xref ref-type="disp-formula" rid="Ch1.E2"/>).</p></table-wrap-foot></table-wrap>

<?xmltex \floatpos{t}?><table-wrap id="Ch1.T3" specific-use="star"><?xmltex \currentcnt{3}?><label>Table 3</label><caption><p id="d1e2897">Available data and meta-information: the columns of the raw data set correspond to the provided data and meta-information. Their names are given in the first column of this table. The second holds a short description of their content and the third their ranges of values. In the final column we give how well this data kind is covered relative to the size of the full data set.</p></caption><oasis:table frame="topbot"><oasis:tgroup cols="4">
     <oasis:colspec colnum="1" colname="col1" align="left"/>
     <oasis:colspec colnum="2" colname="col2" align="left"/>
     <oasis:colspec colnum="3" colname="col3" align="left"/>
     <oasis:colspec colnum="4" colname="col4" align="left"/>
     <oasis:thead>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1">Column</oasis:entry>
         <oasis:entry colname="col2">Content</oasis:entry>
         <oasis:entry colname="col3">Range of values</oasis:entry>
         <oasis:entry colname="col4">Coverage<inline-formula><mml:math id="M123" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">1</mml:mn></mml:msup></mml:math></inline-formula></oasis:entry>
       </oasis:row>
     </oasis:thead>
     <oasis:tbody>
       <oasis:row>
         <oasis:entry colname="col1">Reference</oasis:entry>
         <oasis:entry colname="col2">citation<inline-formula><mml:math id="M124" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col3">description</oasis:entry>
         <oasis:entry colname="col4">full<inline-formula><mml:math id="M125" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msup></mml:math></inline-formula></oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">No.</oasis:entry>
         <oasis:entry colname="col2">running index</oasis:entry>
         <oasis:entry colname="col3"><inline-formula><mml:math id="M126" display="inline"><mml:mrow><mml:mo mathvariant="italic">{</mml:mo><mml:mn mathvariant="normal">1</mml:mn><mml:mo>,</mml:mo><mml:mi mathvariant="normal">…</mml:mi><mml:mo>,</mml:mo><mml:mn mathvariant="normal">4732</mml:mn><mml:mo mathvariant="italic">}</mml:mo></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col4">full</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Lat</oasis:entry>
         <oasis:entry colname="col2">latitude in decimal degrees<inline-formula><mml:math id="M127" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">4</mml:mn></mml:msup></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col3"><inline-formula><mml:math id="M128" display="inline"><mml:mrow><mml:mo>[</mml:mo><mml:mo>-</mml:mo><mml:mn mathvariant="normal">90</mml:mn><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup><mml:mo>,</mml:mo><mml:mn mathvariant="normal">90</mml:mn><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup><mml:mo>]</mml:mo></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col4"><inline-formula><mml:math id="M129" display="inline"><mml:mrow><mml:mn mathvariant="normal">4604</mml:mn><mml:mo>/</mml:mo><mml:mn mathvariant="normal">4732</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Long</oasis:entry>
         <oasis:entry colname="col2">longitude in decimal degrees<inline-formula><mml:math id="M130" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">4</mml:mn></mml:msup></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col3"><inline-formula><mml:math id="M131" display="inline"><mml:mrow><mml:mo>[</mml:mo><mml:mo>-</mml:mo><mml:mn mathvariant="normal">180</mml:mn><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup><mml:mo>,</mml:mo><mml:mn mathvariant="normal">180</mml:mn><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup><mml:mo>]</mml:mo></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col4"><inline-formula><mml:math id="M132" display="inline"><mml:mrow><mml:mn mathvariant="normal">4604</mml:mn><mml:mo>/</mml:mo><mml:mn mathvariant="normal">4732</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">d13C</oasis:entry>
         <oasis:entry colname="col2"><inline-formula><mml:math id="M133" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">13</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>C<inline-formula><mml:math id="M134" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mi mathvariant="normal">POC</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msubsup></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col3"><inline-formula><mml:math id="M135" display="inline"><mml:mrow><mml:mo>[</mml:mo><mml:mo>-</mml:mo><mml:mn mathvariant="normal">55.15</mml:mn><mml:mo>,</mml:mo><mml:mo>-</mml:mo><mml:mn mathvariant="normal">4.5</mml:mn><mml:mo>]</mml:mo></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col4">full</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">d13Canomaly</oasis:entry>
         <oasis:entry colname="col2"><inline-formula><mml:math id="M136" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">13</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>C<inline-formula><mml:math id="M137" display="inline"><mml:mrow><mml:msub><mml:mi/><mml:mi mathvariant="normal">POC</mml:mi></mml:msub><mml:mo>-</mml:mo><mml:msubsup><mml:mi mathvariant="normal">mean</mml:mi><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">13</mml:mn></mml:msup><mml:msub><mml:mtext>C</mml:mtext><mml:mi mathvariant="normal">POC</mml:mi></mml:msub></mml:mrow><mml:mn mathvariant="normal">5</mml:mn></mml:msubsup></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col3"><inline-formula><mml:math id="M138" display="inline"><mml:mrow><mml:mo>[</mml:mo><mml:mo>-</mml:mo><mml:mn mathvariant="normal">31.19</mml:mn><mml:mo>,</mml:mo><mml:mn mathvariant="normal">19.46</mml:mn><mml:mo>]</mml:mo></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col4">full</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Temp</oasis:entry>
         <oasis:entry colname="col2">temperature in degrees Celsius<inline-formula><mml:math id="M139" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">4</mml:mn></mml:msup></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col3"><inline-formula><mml:math id="M140" display="inline"><mml:mrow><mml:mo>[</mml:mo><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1.8</mml:mn><mml:mo>,</mml:mo><mml:mn mathvariant="normal">31.12</mml:mn><mml:mo>]</mml:mo></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col4"><inline-formula><mml:math id="M141" display="inline"><mml:mrow><mml:mn mathvariant="normal">1622</mml:mn><mml:mo>/</mml:mo><mml:mn mathvariant="normal">4732</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Month</oasis:entry>
         <oasis:entry colname="col2">month as number</oasis:entry>
         <oasis:entry colname="col3"><inline-formula><mml:math id="M142" display="inline"><mml:mrow><mml:mo mathvariant="italic">{</mml:mo><mml:mn mathvariant="normal">1</mml:mn><mml:mo>,</mml:mo><mml:mi mathvariant="normal">…</mml:mi><mml:mo>,</mml:mo><mml:mn mathvariant="normal">12</mml:mn><mml:mo mathvariant="italic">}</mml:mo></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col4"><inline-formula><mml:math id="M143" display="inline"><mml:mrow><mml:mn mathvariant="normal">4114</mml:mn><mml:mo>/</mml:mo><mml:mn mathvariant="normal">4732</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Year</oasis:entry>
         <oasis:entry colname="col2">year CE</oasis:entry>
         <oasis:entry colname="col3"><inline-formula><mml:math id="M144" display="inline"><mml:mrow><mml:mo mathvariant="italic">{</mml:mo><mml:mn mathvariant="normal">1964</mml:mn><mml:mo>,</mml:mo><mml:mi mathvariant="normal">…</mml:mi><mml:mo>,</mml:mo><mml:mn mathvariant="normal">2015</mml:mn><mml:mo mathvariant="italic">}</mml:mo></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col4"><inline-formula><mml:math id="M145" display="inline"><mml:mrow><mml:mn mathvariant="normal">4483</mml:mn><mml:mo>/</mml:mo><mml:mn mathvariant="normal">4732</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Depth</oasis:entry>
         <oasis:entry colname="col2">depth in meters</oasis:entry>
         <oasis:entry colname="col3"><inline-formula><mml:math id="M146" display="inline"><mml:mrow><mml:mo>[</mml:mo><mml:mn mathvariant="normal">0</mml:mn><mml:mo>,</mml:mo><mml:mn mathvariant="normal">4850</mml:mn><mml:mo>]</mml:mo></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col4"><inline-formula><mml:math id="M147" display="inline"><mml:mrow><mml:mn mathvariant="normal">3917</mml:mn><mml:mo>/</mml:mo><mml:mn mathvariant="normal">4732</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Method</oasis:entry>
         <oasis:entry colname="col2">measurement method of <inline-formula><mml:math id="M148" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">13</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>C<inline-formula><mml:math id="M149" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">POC</mml:mi></mml:msub></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col3">description</oasis:entry>
         <oasis:entry colname="col4"><inline-formula><mml:math id="M150" display="inline"><mml:mrow><mml:mn mathvariant="normal">3164</mml:mn><mml:mo>/</mml:mo><mml:mn mathvariant="normal">4732</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Origin</oasis:entry>
         <oasis:entry colname="col2">associated project or cruise</oasis:entry>
         <oasis:entry colname="col3">description</oasis:entry>
         <oasis:entry colname="col4"><inline-formula><mml:math id="M151" display="inline"><mml:mrow><mml:mn mathvariant="normal">3921</mml:mn><mml:mo>/</mml:mo><mml:mn mathvariant="normal">4732</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Note</oasis:entry>
         <oasis:entry colname="col2">special circumstances</oasis:entry>
         <oasis:entry colname="col3">description</oasis:entry>
         <oasis:entry colname="col4"><inline-formula><mml:math id="M152" display="inline"><mml:mrow><mml:mn mathvariant="normal">140</mml:mn><mml:mo>/</mml:mo><mml:mn mathvariant="normal">4732</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Trap duration</oasis:entry>
         <oasis:entry colname="col2">duration of trap activity in days</oasis:entry>
         <oasis:entry colname="col3"><inline-formula><mml:math id="M153" display="inline"><mml:mrow><mml:mo>[</mml:mo><mml:mn mathvariant="normal">1</mml:mn><mml:mo>,</mml:mo><mml:mn mathvariant="normal">133</mml:mn><mml:mo>]</mml:mo></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col4"><inline-formula><mml:math id="M154" display="inline"><mml:mrow><mml:mn mathvariant="normal">533</mml:mn><mml:mo>/</mml:mo><mml:msup><mml:mn mathvariant="normal">587</mml:mn><mml:mn mathvariant="normal">6</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula></oasis:entry>
       </oasis:row>
     </oasis:tbody>
   </oasis:tgroup></oasis:table><table-wrap-foot><p id="d1e2900"><inline-formula><mml:math id="M117" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">1</mml:mn></mml:msup></mml:math></inline-formula> Ratio of available entries relative to the full number of data points.
<inline-formula><mml:math id="M118" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:math></inline-formula> Wherever possible, this includes: author(s), year, title, journal name, full, number, issue, pages and DOI.
<inline-formula><mml:math id="M119" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msup></mml:math></inline-formula> Primary source was not available in every case as a reference. A note, where the data were taken is included in this case.
<inline-formula><mml:math id="M120" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">4</mml:mn></mml:msup></mml:math></inline-formula> With as many decimal places as available.
<inline-formula><mml:math id="M121" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">5</mml:mn></mml:msup></mml:math></inline-formula> Rounded to two decimal places.
<inline-formula><mml:math id="M122" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">6</mml:mn></mml:msup></mml:math></inline-formula> Here, abundance is given relative to the full number of sediment trap samples.</p></table-wrap-foot></table-wrap>

      <p id="d1e3611">Most data listed in the <xref ref-type="bibr" rid="bib1.bibx31" id="text.132"/> data set could be gathered from the original publications directly. Some data are not accessible from an original source, including those data labeled as “Harrison”, “Hobson” and “Schell”, which were included as unpublished data by personal communication in <xref ref-type="bibr" rid="bib1.bibx31" id="text.133"/>. Also, we could not identify the original data sources of “Voss (1991)” and “Sackett et al. (1966)”. Data from these sources are used as provided by <xref ref-type="bibr" rid="bib1.bibx31" id="text.134"/>. All other data could be directly compared with and linked to their origin. According to Table <xref ref-type="table" rid="Ch1.T3"/> we complemented the data with the month, year, depth, sample method, cruise, trap duration and references wherever available. Special notes given in <xref ref-type="bibr" rid="bib1.bibx31" id="text.135"/> were conserved in our “project/cruise”-named meta-information. Rounded values were adjusted to their source values as well as data with interchanged longitudinal information, which is shown in detail in Table <xref ref-type="table" rid="Ch1.T1"/>.</p>
      <p id="d1e3631">In two cases we identified multiple <inline-formula><mml:math id="M155" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">13</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>C<inline-formula><mml:math id="M156" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">POC</mml:mi></mml:msub></mml:math></inline-formula> data sets from a single event (time, place, investigator) where the data had been subject to different stages of processing or different types of measurement: in <xref ref-type="bibr" rid="bib1.bibx80" id="text.136"/>, we chose the “mass spectrometer” data set because this was the originally measured one. In <xref ref-type="bibr" rid="bib1.bibx72 bib1.bibx73" id="text.137"/>, we used the “blank corrections” data set of <inline-formula><mml:math id="M157" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">13</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>C, since this set of <inline-formula><mml:math id="M158" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">13</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>C<inline-formula><mml:math id="M159" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">org</mml:mi></mml:msub></mml:math></inline-formula> values is recommended to be considered <xref ref-type="bibr" rid="bib1.bibx71" id="paren.138"/>.</p>
      <p id="d1e3695">The primary source of the Tuerena and Lorrain data was mentioned in our data set in the project/cruise column. In the data set from <xref ref-type="bibr" rid="bib1.bibx74" id="text.139"/>, this was originally labeled as “source” and in the Lorrain data set as “campaign”. In both data sets the longitude was converted to <inline-formula><mml:math id="M160" display="inline"><mml:mrow><mml:mo>[</mml:mo><mml:mo>-</mml:mo><mml:mn mathvariant="normal">180</mml:mn><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup><mml:mo>,</mml:mo><mml:mn mathvariant="normal">180</mml:mn><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup><mml:mo>]</mml:mo></mml:mrow></mml:math></inline-formula> from a <inline-formula><mml:math id="M161" display="inline"><mml:mrow><mml:mo>[</mml:mo><mml:mn mathvariant="normal">0</mml:mn><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup><mml:mo>,</mml:mo><mml:mn mathvariant="normal">360</mml:mn><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup><mml:mo>]</mml:mo></mml:mrow></mml:math></inline-formula> format by Eq. (<xref ref-type="disp-formula" rid="Ch1.E2"/>). In the data of <xref ref-type="bibr" rid="bib1.bibx50" id="text.140"/> we deleted a typo where the depth value was set equal to the negative longitude value. We disregarded the trap duration given in <xref ref-type="bibr" rid="bib1.bibx78" id="text.141"/>, which was given as the negative value <inline-formula><mml:math id="M162" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:math></inline-formula>.</p>
</sec>
</sec>
<sec id="Ch1.S3">
  <label>3</label><title>Content and structure of the data set</title>
      <p id="d1e3779">The data collection is made available in files of raw and interpolated values <xref ref-type="bibr" rid="bib1.bibx75" id="paren.142"/>. The raw data are in a csv file that includes the <inline-formula><mml:math id="M163" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">13</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>C<inline-formula><mml:math id="M164" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">POC</mml:mi></mml:msub></mml:math></inline-formula> measurements, their anomalies with respect to their mean and all available meta-information. The interpolated data are provided as NetCDF files on two different global grids: a <inline-formula><mml:math id="M165" display="inline"><mml:mrow><mml:mn mathvariant="normal">1.8</mml:mn><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup><mml:mo>×</mml:mo><mml:mn mathvariant="normal">3.6</mml:mn><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula> resolution and 19 depth layers from a model that simulates <inline-formula><mml:math id="M166" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">13</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>C<inline-formula><mml:math id="M167" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">POC</mml:mi></mml:msub></mml:math></inline-formula> <xref ref-type="bibr" rid="bib1.bibx64" id="paren.143"><named-content content-type="pre">e.g.,</named-content></xref>, in the following referred to as the UVic grid, and the <inline-formula><mml:math id="M168" display="inline"><mml:mrow><mml:mn mathvariant="normal">1</mml:mn><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup><mml:mo>×</mml:mo><mml:mn mathvariant="normal">1</mml:mn><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula> resolution and 102-depth-layer grid of the World Ocean Atlas <xref ref-type="bibr" rid="bib1.bibx30" id="paren.144"/>, in the following referred to as the WOA grid. Interpolation required the availability of the full spatial information (latitude, longitude and depth) of included <inline-formula><mml:math id="M169" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">13</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>C<inline-formula><mml:math id="M170" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">POC</mml:mi></mml:msub></mml:math></inline-formula> data to locate them on the grid.</p>
      <p id="d1e3894">On the WOA grid we provide 13 NetCDF files containing only data with full spatio-temporal metadata: one averages all observations from each year together, each year accounting for a time increment on the time axis, and the other 12 files average only observations from an individual month with again each year accounting for a time increment on the time axis. These files provide a variety of analysis opportunities but also limited the content of <inline-formula><mml:math id="M171" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">13</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>C<inline-formula><mml:math id="M172" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">POC</mml:mi></mml:msub></mml:math></inline-formula> data.</p>
      <p id="d1e3917">On the UVic grid we provide seven individual NetCDF files: six of them each represent one of the decades from the 1960s to the 2010s containing all data which were able to be assigned to their respective decade. One file contains all available <inline-formula><mml:math id="M173" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">13</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>C<inline-formula><mml:math id="M174" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">POC</mml:mi></mml:msub></mml:math></inline-formula> data completely independent of their measurement time. This individual provision of data on a decadal and overall timescale increases the fraction of usable <inline-formula><mml:math id="M175" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">13</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>C<inline-formula><mml:math id="M176" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">POC</mml:mi></mml:msub></mml:math></inline-formula> data for the following analyses.</p>
<sec id="Ch1.S3.SS1">
  <label>3.1</label><title>Raw data file</title>
      <p id="d1e3967">The csv-format data file includes <inline-formula><mml:math id="M177" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">13</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>C<inline-formula><mml:math id="M178" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">POC</mml:mi></mml:msub></mml:math></inline-formula> measurements, anomalies and meta-information in its columns. A full description of the content, value range and coverage of the individual columns is given in Table <xref ref-type="table" rid="Ch1.T3"/>. Anomalies of <inline-formula><mml:math id="M179" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">13</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>C<inline-formula><mml:math id="M180" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">POC</mml:mi></mml:msub></mml:math></inline-formula> were calculated, based on the arithmetic mean of the full data collection. The mean was calculated, rounded to two digits after the floating point and used as
            <disp-formula id="Ch1.E3" content-type="numbered"><label>3</label><mml:math id="M181" display="block"><mml:mrow><mml:msub><mml:mi mathvariant="normal">mean</mml:mi><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">13</mml:mn></mml:msup><mml:msub><mml:mtext>C</mml:mtext><mml:mi mathvariant="normal">POC</mml:mi></mml:msub></mml:mrow></mml:msub><mml:mo>=</mml:mo><mml:mo>-</mml:mo><mml:mn mathvariant="normal">23.96</mml:mn><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mi mathvariant="normal">‰</mml:mi><mml:mo>.</mml:mo></mml:mrow></mml:math></disp-formula>
          Anomalies contain all the relevant information with respect to the variability in the <inline-formula><mml:math id="M182" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">13</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>C<inline-formula><mml:math id="M183" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">POC</mml:mi></mml:msub></mml:math></inline-formula> data in space and time. This way it becomes easier to analyze bias information separately, e.g., during the first steps of model calibration.</p>
      <p id="d1e4064">The reference includes the citations in as much detail as possible. Wherever available, this is taken from the original source. Otherwise, we tried to include the author, title, publication year and platform, and DOI. For unpublished data like Harrison's (unpublished data, quoted from <xref ref-type="bibr" rid="bib1.bibx31" id="altparen.145"/>) from the <xref ref-type="bibr" rid="bib1.bibx31" id="text.146"/> data set or those included by the co-authors, we specified from where we took the data.</p>
      <?pagebreak page4866?><p id="d1e4073">Coordinates are given in decimal degrees over <inline-formula><mml:math id="M184" display="inline"><mml:mrow><mml:mo>[</mml:mo><mml:mo>-</mml:mo><mml:mn mathvariant="normal">90</mml:mn><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup><mml:mo>,</mml:mo><mml:mn mathvariant="normal">90</mml:mn><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup><mml:mo>]</mml:mo><mml:mo>×</mml:mo><mml:mo>[</mml:mo><mml:mo>-</mml:mo><mml:mn mathvariant="normal">180</mml:mn><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup><mml:mo>,</mml:mo><mml:mn mathvariant="normal">180</mml:mn><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup><mml:mo>]</mml:mo></mml:mrow></mml:math></inline-formula>. The sample depth is given in meters measured positively from the ocean surface downwards. Data published as measured at <inline-formula><mml:math id="M185" display="inline"><mml:mn mathvariant="normal">0</mml:mn></mml:math></inline-formula> <inline-formula><mml:math id="M186" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:math></inline-formula> were included as this, while no surface microlayer measurements were included. The month and year were used to describe the sample date; specific days are neglected.</p>
      <p id="d1e4140">Anomalies of <inline-formula><mml:math id="M187" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">13</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>C<inline-formula><mml:math id="M188" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">POC</mml:mi></mml:msub></mml:math></inline-formula> are given in the <inline-formula><mml:math id="M189" display="inline"><mml:mi mathvariant="italic">δ</mml:mi></mml:math></inline-formula> ratio described in Eq. (<xref ref-type="disp-formula" rid="Ch1.E1"/>). A sample method was added, wherever available. Any special sampling circumstances were given in the “Note” column. Activity duration of sediment traps was denoted in the last column.</p>
      <p id="d1e4173">The “Origin” columns listed the associated project or cruise or author note. Some samples were given with multiple project connections; all of them were given in this column.</p>
</sec>
<sec id="Ch1.S3.SS2">
  <label>3.2</label><title>Interpolated data sets</title>
      <p id="d1e4185">The interpolated <inline-formula><mml:math id="M190" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">13</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>C<inline-formula><mml:math id="M191" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">POC</mml:mi></mml:msub></mml:math></inline-formula> data are available as NetCDF files on two global grids with different resolutions. NetCDF files are machine-independent and support the creation, accessing and sharing of array-oriented scientific data. On the UVic grid, we provide seven different files, each of them independent of time and averaged over the available spatial information. Six of them contain an individual decade each (from the 1960s through the 2010s). The seventh file comprises a combined set of all interpolated <inline-formula><mml:math id="M192" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">13</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>C<inline-formula><mml:math id="M193" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">POC</mml:mi></mml:msub></mml:math></inline-formula> data. On the WOA grid, we provide 13 files including all <inline-formula><mml:math id="M194" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">13</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>C<inline-formula><mml:math id="M195" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">POC</mml:mi></mml:msub></mml:math></inline-formula> measurements with complete spatial–temporal information, averaged across time and space.</p>
      <p id="d1e4249">One major aim of this work is to support reliable validation and calibration of <inline-formula><mml:math id="M196" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">13</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>C<inline-formula><mml:math id="M197" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">POC</mml:mi></mml:msub></mml:math></inline-formula>-simulating models. Hence, we chose the grid of the UVic model version 2.9, as used, e.g., in <xref ref-type="bibr" rid="bib1.bibx64" id="text.147"/>. Horizontally, it consists of <inline-formula><mml:math id="M198" display="inline"><mml:mrow><mml:mn mathvariant="normal">100</mml:mn><mml:mo>×</mml:mo><mml:mn mathvariant="normal">100</mml:mn></mml:mrow></mml:math></inline-formula> cells with a resolution of <inline-formula><mml:math id="M199" display="inline"><mml:mrow><mml:mn mathvariant="normal">1.8</mml:mn><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup><mml:mo>×</mml:mo><mml:mn mathvariant="normal">3.6</mml:mn><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula>, arranged from <inline-formula><mml:math id="M200" display="inline"><mml:mn mathvariant="normal">0</mml:mn></mml:math></inline-formula> to <inline-formula><mml:math id="M201" display="inline"><mml:mn mathvariant="normal">360</mml:mn></mml:math></inline-formula><inline-formula><mml:math id="M202" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> in longitude (LONG) and <inline-formula><mml:math id="M203" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">90</mml:mn></mml:mrow></mml:math></inline-formula> to <inline-formula><mml:math id="M204" display="inline"><mml:mn mathvariant="normal">90</mml:mn></mml:math></inline-formula><inline-formula><mml:math id="M205" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> in latitude (LAT). Vertically, it is split up into 19 vertical layers (DEPTH), decreasing in resolution with depth. The two uppermost layers reach down to depths of 50 and 130 <inline-formula><mml:math id="M206" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:math></inline-formula>, respectively, and they are supposed to comprise the upper ocean's euphotic zone.</p>
      <p id="d1e4363">The WOA grid is based on the <inline-formula><mml:math id="M207" display="inline"><mml:mrow><mml:mn mathvariant="normal">1</mml:mn><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup><mml:mo>×</mml:mo><mml:mn mathvariant="normal">1</mml:mn><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula> grid of the World Ocean Atlas <xref ref-type="bibr" rid="bib1.bibx30" id="paren.148"/>. It has a horizontal resolution of 360 arranged from <inline-formula><mml:math id="M208" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">180</mml:mn></mml:mrow></mml:math></inline-formula> to <inline-formula><mml:math id="M209" display="inline"><mml:mn mathvariant="normal">180</mml:mn></mml:math></inline-formula><inline-formula><mml:math id="M210" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> in the longitude (LONG) and 180 arranged from <inline-formula><mml:math id="M211" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">90</mml:mn></mml:mrow></mml:math></inline-formula> to <inline-formula><mml:math id="M212" display="inline"><mml:mn mathvariant="normal">90</mml:mn></mml:math></inline-formula><inline-formula><mml:math id="M213" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> in the latitude (LAT) direction. Vertically, it is split up into 102 layers (DEPTH). The time axis (TIME) increases in increments for each year from 1964 to 2015 by 1 and has a size of 52. This interpolation includes only <inline-formula><mml:math id="M214" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">13</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>C<inline-formula><mml:math id="M215" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">POC</mml:mi></mml:msub></mml:math></inline-formula> data with full spatio-temporal metadata coverage; i.e., additionally to latitude, longitude and depth, we also required and included year and month information.</p>
      <?pagebreak page4867?><p id="d1e4460">Ferret scripts were used for the interpolations. These averaged the irregularly measured data points within the ocean grid to one single data point representing each covered grid cell. The interpolation function SCAT2GRIDGAUSS by <xref ref-type="bibr" rid="bib1.bibx55" id="text.149"/> performed the spatial averaging under PyFerret v7.5. Calculations in this function are based on a work by <xref ref-type="bibr" rid="bib1.bibx42" id="text.150"/> and can be summarized as follows: let <inline-formula><mml:math id="M216" display="inline"><mml:mrow><mml:mo>(</mml:mo><mml:msub><mml:mi>x</mml:mi><mml:mn mathvariant="normal">1</mml:mn></mml:msub><mml:mo>,</mml:mo><mml:msub><mml:mi>y</mml:mi><mml:mn mathvariant="normal">1</mml:mn></mml:msub><mml:mo>)</mml:mo><mml:mo>,</mml:mo><mml:mi mathvariant="normal">…</mml:mi><mml:mo>,</mml:mo><mml:mo>(</mml:mo><mml:msub><mml:mi>x</mml:mi><mml:mi>n</mml:mi></mml:msub><mml:mo>,</mml:mo><mml:msub><mml:mi>y</mml:mi><mml:mi>n</mml:mi></mml:msub><mml:mo>)</mml:mo><mml:mo>⊆</mml:mo><mml:msup><mml:mi mathvariant="double-struck">R</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula> be an equidistant grid and <inline-formula><mml:math id="M217" display="inline"><mml:mrow><mml:mo>(</mml:mo><mml:mover accent="true"><mml:mrow><mml:msub><mml:mi>x</mml:mi><mml:mn mathvariant="normal">1</mml:mn></mml:msub></mml:mrow><mml:mo stretchy="false" mathvariant="normal">̃</mml:mo></mml:mover><mml:mo>,</mml:mo><mml:mover accent="true"><mml:mrow><mml:msub><mml:mi>y</mml:mi><mml:mn mathvariant="normal">1</mml:mn></mml:msub></mml:mrow><mml:mo mathvariant="normal" stretchy="false">̃</mml:mo></mml:mover><mml:mo>)</mml:mo><mml:mo>,</mml:mo><mml:mi mathvariant="normal">…</mml:mi><mml:mo>,</mml:mo><mml:mo>(</mml:mo><mml:mover accent="true"><mml:mrow><mml:msub><mml:mi>x</mml:mi><mml:mi>m</mml:mi></mml:msub></mml:mrow><mml:mo mathvariant="normal" stretchy="false">̃</mml:mo></mml:mover><mml:mo>,</mml:mo><mml:mover accent="true"><mml:mrow><mml:msub><mml:mi>y</mml:mi><mml:mi>m</mml:mi></mml:msub></mml:mrow><mml:mo stretchy="false" mathvariant="normal">̃</mml:mo></mml:mover><mml:mo>)</mml:mo><mml:mo>⊆</mml:mo><mml:msup><mml:mi mathvariant="double-struck">R</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula> be irregular measurement locations of a real tracer <inline-formula><mml:math id="M218" display="inline"><mml:mrow><mml:msub><mml:mi>D</mml:mi><mml:mi>j</mml:mi></mml:msub><mml:mo>,</mml:mo><mml:mi>j</mml:mi><mml:mo>∈</mml:mo><mml:mo mathvariant="italic">{</mml:mo><mml:mn mathvariant="normal">1</mml:mn><mml:mo>,</mml:mo><mml:mi mathvariant="normal">…</mml:mi><mml:mo>,</mml:mo><mml:mi>m</mml:mi><mml:mo mathvariant="italic">}</mml:mo></mml:mrow></mml:math></inline-formula>. Then the value <inline-formula><mml:math id="M219" display="inline"><mml:mrow><mml:msub><mml:mi>D</mml:mi><mml:mi>i</mml:mi></mml:msub><mml:mo>∈</mml:mo><mml:mi mathvariant="double-struck">R</mml:mi></mml:mrow></mml:math></inline-formula> at grid point <inline-formula><mml:math id="M220" display="inline"><mml:mrow><mml:mo>(</mml:mo><mml:msub><mml:mi>x</mml:mi><mml:mi>i</mml:mi></mml:msub><mml:mo>,</mml:mo><mml:msub><mml:mi>y</mml:mi><mml:mi>i</mml:mi></mml:msub><mml:mo>)</mml:mo><mml:mo>,</mml:mo><mml:mi>i</mml:mi><mml:mo>∈</mml:mo><mml:mo mathvariant="italic">{</mml:mo><mml:mn mathvariant="normal">1</mml:mn><mml:mo>,</mml:mo><mml:mi mathvariant="normal">…</mml:mi><mml:mo>,</mml:mo><mml:mi>n</mml:mi><mml:mo mathvariant="italic">}</mml:mo></mml:mrow></mml:math></inline-formula> becomes interpolated as
            <disp-formula id="Ch1.E4" content-type="numbered"><label>4</label><mml:math id="M221" display="block"><mml:mrow><mml:msub><mml:mi>D</mml:mi><mml:mi>i</mml:mi></mml:msub><mml:mo>:=</mml:mo><mml:mstyle displaystyle="true"><mml:mfrac style="display"><mml:mrow><mml:msubsup><mml:mo>∑</mml:mo><mml:mrow><mml:mi>j</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow><mml:mi>m</mml:mi></mml:msubsup><mml:msub><mml:mi>D</mml:mi><mml:mi>j</mml:mi></mml:msub><mml:msub><mml:mi>W</mml:mi><mml:mrow><mml:mi>i</mml:mi><mml:mo>,</mml:mo><mml:mi>j</mml:mi></mml:mrow></mml:msub></mml:mrow><mml:mrow><mml:msubsup><mml:mo>∑</mml:mo><mml:mrow><mml:mi>j</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow><mml:mi>m</mml:mi></mml:msubsup><mml:msub><mml:mi>W</mml:mi><mml:mrow><mml:mi>i</mml:mi><mml:mo>,</mml:mo><mml:mi>j</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:mfrac></mml:mstyle><mml:mo>,</mml:mo></mml:mrow></mml:math></disp-formula>
          where
            <disp-formula id="Ch1.E5" content-type="numbered"><label>5</label><mml:math id="M222" display="block"><mml:mrow><mml:msub><mml:mi>W</mml:mi><mml:mrow><mml:mi>i</mml:mi><mml:mo>,</mml:mo><mml:mi>j</mml:mi></mml:mrow></mml:msub><mml:mo>:=</mml:mo><mml:mfenced open="{" close=""><mml:mtable class="cases" rowspacing="0.2ex" columnspacing="1em" columnalign="left left" framespacing="0em"><mml:mtr><mml:mtd><mml:mrow><mml:mn mathvariant="normal">0</mml:mn><mml:mo>;</mml:mo></mml:mrow></mml:mtd><mml:mtd><mml:mrow><mml:msub><mml:mi mathvariant="italic">τ</mml:mi><mml:mrow><mml:mi>i</mml:mi><mml:mo>,</mml:mo><mml:mi>j</mml:mi></mml:mrow></mml:msub><mml:mo>&lt;</mml:mo><mml:msup><mml:mi>e</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mi>C</mml:mi><mml:mi>X</mml:mi></mml:mrow></mml:msup></mml:mrow></mml:mtd></mml:mtr><mml:mtr><mml:mtd><mml:mrow><mml:mn mathvariant="normal">0</mml:mn><mml:mo>;</mml:mo></mml:mrow></mml:mtd><mml:mtd><mml:mrow><mml:msub><mml:mi mathvariant="italic">τ</mml:mi><mml:mrow><mml:mi>i</mml:mi><mml:mo>,</mml:mo><mml:mi>j</mml:mi></mml:mrow></mml:msub><mml:mo>&lt;</mml:mo><mml:msup><mml:mi>e</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mi>C</mml:mi><mml:mi>Y</mml:mi></mml:mrow></mml:msup></mml:mrow></mml:mtd></mml:mtr><mml:mtr><mml:mtd><mml:mrow><mml:msub><mml:mi mathvariant="italic">τ</mml:mi><mml:mrow><mml:mi>i</mml:mi><mml:mo>,</mml:mo><mml:mi>j</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:mtd><mml:mtd><mml:mrow><mml:mtext>otherwise</mml:mtext><mml:mo>,</mml:mo></mml:mrow></mml:mtd></mml:mtr></mml:mtable></mml:mfenced></mml:mrow></mml:math></disp-formula>
          where <inline-formula><mml:math id="M223" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">τ</mml:mi><mml:mrow><mml:mi>i</mml:mi><mml:mo>,</mml:mo><mml:mi>j</mml:mi></mml:mrow></mml:msub><mml:mo>:=</mml:mo><mml:mi>exp⁡</mml:mi><mml:mfenced open="(" close=")"><mml:mrow><mml:mo>-</mml:mo><mml:mfenced open="(" close=")"><mml:mrow><mml:mstyle displaystyle="false"><mml:mfrac style="text"><mml:mrow><mml:msup><mml:mfenced close=")" open="("><mml:mrow><mml:msub><mml:mi>x</mml:mi><mml:mi>j</mml:mi></mml:msub><mml:mo>-</mml:mo><mml:msub><mml:mi>x</mml:mi><mml:mi>i</mml:mi></mml:msub></mml:mrow></mml:mfenced><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:mrow><mml:mrow><mml:msup><mml:mi>X</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:mrow></mml:mfrac></mml:mstyle><mml:mo>+</mml:mo><mml:mstyle displaystyle="false"><mml:mfrac style="text"><mml:mrow><mml:msup><mml:mfenced close=")" open="("><mml:mrow><mml:msub><mml:mi>y</mml:mi><mml:mi>j</mml:mi></mml:msub><mml:mo>-</mml:mo><mml:msub><mml:mi>y</mml:mi><mml:mi>i</mml:mi></mml:msub></mml:mrow></mml:mfenced><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:mrow><mml:mrow><mml:msup><mml:mi>Y</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:mrow></mml:mfrac></mml:mstyle></mml:mrow></mml:mfenced></mml:mrow></mml:mfenced></mml:mrow></mml:math></inline-formula> is the Gaussian weight function, <inline-formula><mml:math id="M224" display="inline"><mml:mrow><mml:mi>X</mml:mi><mml:mo>,</mml:mo><mml:mi>Y</mml:mi><mml:mo>∈</mml:mo><mml:mi mathvariant="double-struck">R</mml:mi></mml:mrow></mml:math></inline-formula> comprises scaling arguments and <inline-formula><mml:math id="M225" display="inline"><mml:mrow><mml:mi>C</mml:mi><mml:mo>∈</mml:mo><mml:mi mathvariant="double-struck">R</mml:mi></mml:mrow></mml:math></inline-formula> the cutoff parameter. We set <inline-formula><mml:math id="M226" display="inline"><mml:mrow><mml:mi>X</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">1.8</mml:mn></mml:mrow></mml:math></inline-formula>, <inline-formula><mml:math id="M227" display="inline"><mml:mrow><mml:mi>Y</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">0.9</mml:mn></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M228" display="inline"><mml:mrow><mml:mi>C</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:math></inline-formula> in our script.</p>
      <p id="d1e4994">Since the interpolation into the WOA grid excluded all data without full spatio-temporal metadata coverage, we focus the following descriptions of interpolated data on the UVic grid interpolations. These also include data without month information in the six decadal files and even completely without temporal information in the seventh time-independent file.</p>
</sec>
</sec>
<sec id="Ch1.S4">
  <label>4</label><title>Main data set characteristics</title>
      <p id="d1e5006">The final data set includes 4732 individual <inline-formula><mml:math id="M229" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">13</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>C<inline-formula><mml:math id="M230" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">POC</mml:mi></mml:msub></mml:math></inline-formula> measurements of seawater samples. We show the distribution of <inline-formula><mml:math id="M231" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">13</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>C<inline-formula><mml:math id="M232" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">POC</mml:mi></mml:msub></mml:math></inline-formula> values by Gaussian kernel density estimation (KDE) in Fig. <xref ref-type="fig" rid="Ch1.F1"/>. KDEs are non-parametric density estimations <xref ref-type="bibr" rid="bib1.bibx66" id="paren.151"/> for the approximation of probability density functions, which are theoretically similar to histograms but with continuous curves not dependent on rigid intervals. We applied a Python implementation from the SciPy stats package <xref ref-type="bibr" rid="bib1.bibx76" id="paren.152"/> to create the results presented here. Likewise, we derived conditional probability densities of <inline-formula><mml:math id="M233" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">13</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>C<inline-formula><mml:math id="M234" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">POC</mml:mi></mml:msub></mml:math></inline-formula> values, given the different measurement method applied (Fig. <xref ref-type="fig" rid="Ch1.F3"/>).</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F1"><?xmltex \currentcnt{1}?><?xmltex \def\figurename{Figure}?><label>Figure 1</label><caption><p id="d1e5082">The density function of all individual <inline-formula><mml:math id="M235" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">13</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>C<inline-formula><mml:math id="M236" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">POC</mml:mi></mml:msub></mml:math></inline-formula> measurements approximated by Gaussian kernel density estimation: values of the estimated density are drawn on the <inline-formula><mml:math id="M237" display="inline"><mml:mi>y</mml:mi></mml:math></inline-formula> axis; the <inline-formula><mml:math id="M238" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">13</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>C<inline-formula><mml:math id="M239" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">POC</mml:mi></mml:msub></mml:math></inline-formula> values run on the <inline-formula><mml:math id="M240" display="inline"><mml:mi>x</mml:mi></mml:math></inline-formula> axis. The higher the value of the estimated density is, the more <inline-formula><mml:math id="M241" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">13</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>C<inline-formula><mml:math id="M242" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">POC</mml:mi></mml:msub></mml:math></inline-formula> points have been measured around this value.</p></caption>
        <?xmltex \igopts{width=241.848425pt}?><graphic xlink:href="https://essd.copernicus.org/articles/13/4861/2021/essd-13-4861-2021-f01.png"/>

      </fig>

<sec id="Ch1.S4.SS1">
  <label>4.1</label><title>Range and outlier values</title>
      <p id="d1e5173">The data distribution is presented by its KDE in Fig. <xref ref-type="fig" rid="Ch1.F1"/>. The interval of <inline-formula><mml:math id="M243" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">13</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>C<inline-formula><mml:math id="M244" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">POC</mml:mi></mml:msub></mml:math></inline-formula> values ranges over <inline-formula><mml:math id="M245" display="inline"><mml:mrow><mml:mo>[</mml:mo><mml:mo>-</mml:mo><mml:mn mathvariant="normal">55.15</mml:mn><mml:mo>,</mml:mo><mml:mo>-</mml:mo><mml:mn mathvariant="normal">4.5</mml:mn><mml:mo>]</mml:mo></mml:mrow></mml:math></inline-formula> with a mostly smooth distribution. Most of our data exhibit values around <inline-formula><mml:math id="M246" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">13</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>C<inline-formula><mml:math id="M247" display="inline"><mml:mrow><mml:msub><mml:mi/><mml:mi mathvariant="normal">POC</mml:mi></mml:msub><mml:mo>≈</mml:mo><mml:mo>-</mml:mo><mml:mn mathvariant="normal">24</mml:mn></mml:mrow></mml:math></inline-formula> ‰, which becomes clearly identifiable as a single maximum in the KDE. Two smaller modes are visible at around <inline-formula><mml:math id="M248" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">13</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>C<inline-formula><mml:math id="M249" display="inline"><mml:mrow><mml:msub><mml:mi/><mml:mi mathvariant="normal">POC</mml:mi></mml:msub><mml:mo>≈</mml:mo><mml:mo>-</mml:mo><mml:mn mathvariant="normal">27.5</mml:mn></mml:mrow></mml:math></inline-formula> ‰ and <inline-formula><mml:math id="M250" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">13</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>C<inline-formula><mml:math id="M251" display="inline"><mml:mrow><mml:msub><mml:mi/><mml:mi mathvariant="normal">POC</mml:mi></mml:msub><mml:mo>≈</mml:mo><mml:mo>-</mml:mo><mml:mn mathvariant="normal">22</mml:mn></mml:mrow></mml:math></inline-formula> ‰ (see also Table <xref ref-type="table" rid="App1.Ch1.S1.T6"/> in the Appendix). A steep decline to zero is visible outside the two outer modes. The steep decline in the KDE stops at around <inline-formula><mml:math id="M252" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">13</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>C<inline-formula><mml:math id="M253" display="inline"><mml:mrow><mml:msub><mml:mi/><mml:mi mathvariant="normal">POC</mml:mi></mml:msub><mml:mo>=</mml:mo><mml:mo>-</mml:mo><mml:mn mathvariant="normal">37</mml:mn></mml:mrow></mml:math></inline-formula> ‰ and <inline-formula><mml:math id="M254" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">13</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>C<inline-formula><mml:math id="M255" display="inline"><mml:mrow><mml:msub><mml:mi/><mml:mi mathvariant="normal">POC</mml:mi></mml:msub><mml:mo>≈</mml:mo><mml:mo>-</mml:mo><mml:mn mathvariant="normal">14</mml:mn></mml:mrow></mml:math></inline-formula> ‰. Between <inline-formula><mml:math id="M256" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">13</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>C<inline-formula><mml:math id="M257" display="inline"><mml:mrow><mml:msub><mml:mi/><mml:mi mathvariant="normal">POC</mml:mi></mml:msub><mml:mo>≈</mml:mo><mml:mo>-</mml:mo><mml:mn mathvariant="normal">37</mml:mn></mml:mrow></mml:math></inline-formula> ‰ and <inline-formula><mml:math id="M258" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">13</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>C<inline-formula><mml:math id="M259" display="inline"><mml:mrow><mml:msub><mml:mi/><mml:mi mathvariant="normal">POC</mml:mi></mml:msub><mml:mo>≈</mml:mo><mml:mo>-</mml:mo><mml:mn mathvariant="normal">55.15</mml:mn></mml:mrow></mml:math></inline-formula> ‰ as well as between <inline-formula><mml:math id="M260" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">13</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>C<inline-formula><mml:math id="M261" display="inline"><mml:mrow><mml:msub><mml:mi/><mml:mi mathvariant="normal">POC</mml:mi></mml:msub><mml:mo>≈</mml:mo><mml:mo>-</mml:mo><mml:mn mathvariant="normal">14</mml:mn></mml:mrow></mml:math></inline-formula> ‰ and <inline-formula><mml:math id="M262" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">13</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>C<inline-formula><mml:math id="M263" display="inline"><mml:mrow><mml:msub><mml:mi/><mml:mi mathvariant="normal">POC</mml:mi></mml:msub><mml:mo>≈</mml:mo><mml:mo>-</mml:mo><mml:mn mathvariant="normal">4.5</mml:mn></mml:mrow></mml:math></inline-formula> ‰ the KDE closely aligns to the <inline-formula><mml:math id="M264" display="inline"><mml:mi>x</mml:mi></mml:math></inline-formula> axis, which indicates very few data points lie in this range.</p>
      <p id="d1e5474">Below <inline-formula><mml:math id="M265" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">13</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>C<inline-formula><mml:math id="M266" display="inline"><mml:mrow><mml:msub><mml:mi/><mml:mi mathvariant="normal">POC</mml:mi></mml:msub><mml:mo>=</mml:mo><mml:mo>-</mml:mo><mml:mn mathvariant="normal">37</mml:mn></mml:mrow></mml:math></inline-formula> ‰ we find 17 data points ranging down to <inline-formula><mml:math id="M267" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">13</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>C<inline-formula><mml:math id="M268" display="inline"><mml:mrow><mml:msub><mml:mi/><mml:mi mathvariant="normal">POC</mml:mi></mml:msub><mml:mo>=</mml:mo><mml:mo>-</mml:mo><mml:mn mathvariant="normal">55.15</mml:mn></mml:mrow></mml:math></inline-formula> ‰. Down to <inline-formula><mml:math id="M269" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">13</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>C<inline-formula><mml:math id="M270" display="inline"><mml:mrow><mml:msub><mml:mi/><mml:mi mathvariant="normal">POC</mml:mi></mml:msub><mml:mo>=</mml:mo><mml:mo>-</mml:mo><mml:mn mathvariant="normal">48</mml:mn><mml:mi mathvariant="normal">‰</mml:mi></mml:mrow></mml:math></inline-formula> these were all taken from <xref ref-type="bibr" rid="bib1.bibx44" id="text.153"/> and <xref ref-type="bibr" rid="bib1.bibx45" id="text.154"/>, measured in September or October 2003, around the location <inline-formula><mml:math id="M271" display="inline"><mml:mn mathvariant="normal">10</mml:mn></mml:math></inline-formula><inline-formula><mml:math id="M272" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> N, <inline-formula><mml:math id="M273" display="inline"><mml:mn mathvariant="normal">104</mml:mn></mml:math></inline-formula><inline-formula><mml:math id="M274" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> W and below 2500 <inline-formula><mml:math id="M275" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:math></inline-formula> depth in the vicinity a hydrothermal field close to the Pacific coast of middle America. The lowest outlier at <inline-formula><mml:math id="M276" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">13</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>C<inline-formula><mml:math id="M277" display="inline"><mml:mrow><mml:msub><mml:mi/><mml:mi mathvariant="normal">POC</mml:mi></mml:msub><mml:mo>=</mml:mo><mml:mo>-</mml:mo><mml:mn mathvariant="normal">55.15</mml:mn></mml:mrow></mml:math></inline-formula> ‰ was taken from <xref ref-type="bibr" rid="bib1.bibx3" id="text.155"/> from November 1996 and at <inline-formula><mml:math id="M278" display="inline"><mml:mn mathvariant="normal">62.52</mml:mn></mml:math></inline-formula><inline-formula><mml:math id="M279" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> S, <inline-formula><mml:math id="M280" display="inline"><mml:mn mathvariant="normal">169.99</mml:mn></mml:math></inline-formula><inline-formula><mml:math id="M281" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> E at the ocean surface south of New Zealand.</p>
      <p id="d1e5667">Above <inline-formula><mml:math id="M282" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">13</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>C<inline-formula><mml:math id="M283" display="inline"><mml:mrow><mml:msub><mml:mi/><mml:mi mathvariant="normal">POC</mml:mi></mml:msub><mml:mo>=</mml:mo><mml:mo>-</mml:mo><mml:mn mathvariant="normal">10</mml:mn></mml:mrow></mml:math></inline-formula> ‰ we find 15 data points ranging up to <inline-formula><mml:math id="M284" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">13</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>C<inline-formula><mml:math id="M285" display="inline"><mml:mrow><mml:msub><mml:mi/><mml:mi mathvariant="normal">POC</mml:mi></mml:msub><mml:mo>=</mml:mo><mml:mo>-</mml:mo><mml:mn mathvariant="normal">4.5</mml:mn><mml:mi mathvariant="normal">‰</mml:mi></mml:mrow></mml:math></inline-formula>. Three of them were taken from <xref ref-type="bibr" rid="bib1.bibx46" id="text.156"/> and measured at 800 <inline-formula><mml:math id="M286" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:math></inline-formula> depth at a hydrothermal vent located <inline-formula><mml:math id="M287" display="inline"><mml:mn mathvariant="normal">30.125</mml:mn></mml:math></inline-formula><inline-formula><mml:math id="M288" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> N, <inline-formula><mml:math id="M289" display="inline"><mml:mn mathvariant="normal">42.117</mml:mn></mml:math></inline-formula><inline-formula><mml:math id="M290" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> W in the middle north Atlantic. Ten were taken from <xref ref-type="bibr" rid="bib1.bibx10 bib1.bibx11 bib1.bibx9" id="text.157"/>. All of these were measured between 636 and 901 <inline-formula><mml:math id="M291" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:math></inline-formula> depth around <inline-formula><mml:math id="M292" display="inline"><mml:mn mathvariant="normal">49</mml:mn></mml:math></inline-formula><inline-formula><mml:math id="M293" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> N, <inline-formula><mml:math id="M294" display="inline"><mml:mn mathvariant="normal">130</mml:mn></mml:math></inline-formula><inline-formula><mml:math id="M295" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> W close to the American coast of the Pacific, and all of them were measured in February or May, except one in August. The final two were part of the Lorrain data set. Both were measured at the ocean surface in the South Pacific, in July at <inline-formula><mml:math id="M296" display="inline"><mml:mn mathvariant="normal">5.3</mml:mn></mml:math></inline-formula><inline-formula><mml:math id="M297" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> S, <inline-formula><mml:math id="M298" display="inline"><mml:mn mathvariant="normal">164.9</mml:mn></mml:math></inline-formula><inline-formula><mml:math id="M299" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> E and December at <inline-formula><mml:math id="M300" display="inline"><mml:mn mathvariant="normal">20.9</mml:mn></mml:math></inline-formula><inline-formula><mml:math id="M301" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> S, <inline-formula><mml:math id="M302" display="inline"><mml:mn mathvariant="normal">159.6</mml:mn></mml:math></inline-formula><inline-formula><mml:math id="M303" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> E.</p>
      <p id="d1e5871">Since more than 98 % of the data (4668 of the 4732 data points) have values that lie between <inline-formula><mml:math id="M304" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">13</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>C<inline-formula><mml:math id="M305" display="inline"><mml:mrow><mml:msub><mml:mi/><mml:mi mathvariant="normal">POC</mml:mi></mml:msub><mml:mo>=</mml:mo><mml:mo>-</mml:mo><mml:mn mathvariant="normal">35</mml:mn></mml:mrow></mml:math></inline-formula> ‰ and <inline-formula><mml:math id="M306" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">13</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>C<inline-formula><mml:math id="M307" display="inline"><mml:mrow><mml:msub><mml:mi/><mml:mi mathvariant="normal">POC</mml:mi></mml:msub><mml:mo>=</mml:mo><mml:mo>-</mml:mo><mml:mn mathvariant="normal">15</mml:mn></mml:mrow></mml:math></inline-formula> ‰, we will focus on this range in our following analyses.</p>
      <p id="d1e5929">We tested the robustness of our KDE approach in a subsampling experiment. We considered 500 random subsets of 20 % of the original data over the range with the highest data density <inline-formula><mml:math id="M308" display="inline"><mml:mrow><mml:mo>[</mml:mo><mml:mo>-</mml:mo><mml:mn mathvariant="normal">35</mml:mn><mml:mo>,</mml:mo><mml:mo>-</mml:mo><mml:mn mathvariant="normal">15</mml:mn><mml:mo>]</mml:mo></mml:mrow></mml:math></inline-formula> and visualize their KDEs in Fig. <xref ref-type="fig" rid="Ch1.F2"/>. They show peaks at <inline-formula><mml:math id="M309" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">13</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>C<inline-formula><mml:math id="M310" display="inline"><mml:mrow><mml:msub><mml:mi/><mml:mi mathvariant="normal">POC</mml:mi></mml:msub><mml:mo>≈</mml:mo><mml:mo>-</mml:mo><mml:mn mathvariant="normal">23</mml:mn></mml:mrow></mml:math></inline-formula> ‰, fitting the maximum and the second smaller mode to the right of it, and at <inline-formula><mml:math id="M311" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">13</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>C<inline-formula><mml:math id="M312" display="inline"><mml:mrow><mml:msub><mml:mi/><mml:mi mathvariant="normal">POC</mml:mi></mml:msub><mml:mo>≈</mml:mo><mml:mo>-</mml:mo><mml:mn mathvariant="normal">27.5</mml:mn></mml:mrow></mml:math></inline-formula> ‰. Outside <inline-formula><mml:math id="M313" display="inline"><mml:mrow><mml:mo>[</mml:mo><mml:mo>-</mml:mo><mml:mn mathvariant="normal">27</mml:mn><mml:mo>,</mml:mo><mml:mo>-</mml:mo><mml:mn mathvariant="normal">22</mml:mn><mml:mo>]</mml:mo></mml:mrow></mml:math></inline-formula> the KDEs are<?pagebreak page4868?> closely aligned. The mean of and standard variation in the KDE ensemble also show the highest variability around the two modes at <inline-formula><mml:math id="M314" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">13</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>C<inline-formula><mml:math id="M315" display="inline"><mml:mrow><mml:msub><mml:mi/><mml:mi mathvariant="normal">POC</mml:mi></mml:msub><mml:mo>=</mml:mo><mml:mo>-</mml:mo><mml:mn mathvariant="normal">23</mml:mn></mml:mrow></mml:math></inline-formula> ‰ and <inline-formula><mml:math id="M316" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">13</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>C<inline-formula><mml:math id="M317" display="inline"><mml:mrow><mml:msub><mml:mi/><mml:mi mathvariant="normal">POC</mml:mi></mml:msub><mml:mo>=</mml:mo><mml:mo>-</mml:mo><mml:mn mathvariant="normal">27.5</mml:mn></mml:mrow></mml:math></inline-formula> ‰.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F2"><?xmltex \currentcnt{2}?><?xmltex \def\figurename{Figure}?><label>Figure 2</label><caption><p id="d1e6085">A random sample of 20 % of the <inline-formula><mml:math id="M318" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">13</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>C<inline-formula><mml:math id="M319" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">POC</mml:mi></mml:msub></mml:math></inline-formula> data was taken from the full data set for 500 times to generate an ensemble of subsets. Their densities were approximated with a Gaussian kernel density estimator. Panel <bold>(a)</bold> shows all 500 estimated densities by individual lines. Panel <bold>(b)</bold> shows the mean and the variance of the full ensemble of densities by a graph and the shaded area around it, respectively.</p></caption>
          <?xmltex \igopts{width=241.848425pt}?><graphic xlink:href="https://essd.copernicus.org/articles/13/4861/2021/essd-13-4861-2021-f02.png"/>

        </fig>

</sec>
<sec id="Ch1.S4.SS2">
  <label>4.2</label><title>Sampling methods</title>
      <p id="d1e6129">Various sampling methods were involved in obtaining the <inline-formula><mml:math id="M320" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">13</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>C<inline-formula><mml:math id="M321" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">POC</mml:mi></mml:msub></mml:math></inline-formula> data. Around 67 % of the data had associated sampling-method information, which included 18 different sampling methods. In principle, all 18 methods could be grouped into five main observational types: bottles, intake, nets, traps and diverse. “Bottle” data include samples taken from Niskin bottles and samples collected via Sea-Bird submersible pumps. By “intake” we refer to all versions of pumps and underway cruise track measurements, as well as multiple-unit large-volume filtration systems (MULVFSs). “Net” data represent all occurring versions of plankton nets, and “traps” refers to all represented sediment traps and moorings. Finally, the deep-sea manned submersible (MIR2) is not classified into any of these groups and was assigned to a cluster that we refer to as “diverse”.</p>
      <p id="d1e6152">All sample devices provided data over all sample depths. Deeper samples were mainly taken from traps and pump systems and the upper samples from bottle and net data. Most data sampled deeper than 2600 <inline-formula><mml:math id="M322" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:math></inline-formula> were collected by sediment traps. At 3800 <inline-formula><mml:math id="M323" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:math></inline-formula> there were several trap contributions by Calvert <xref ref-type="bibr" rid="bib1.bibx8" id="paren.158"><named-content content-type="pre">e.g.,</named-content></xref>, mostly from the late 1980s. Data sampled by a deep-sea manned submersible were given at locations down to 2520 <inline-formula><mml:math id="M324" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:math></inline-formula> <xref ref-type="bibr" rid="bib1.bibx44" id="paren.159"/>.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F3" specific-use="star"><?xmltex \currentcnt{3}?><?xmltex \def\figurename{Figure}?><label>Figure 3</label><caption><p id="d1e6189">Separation of <inline-formula><mml:math id="M325" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">13</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>C<inline-formula><mml:math id="M326" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">POC</mml:mi></mml:msub></mml:math></inline-formula> in the Atlantic Ocean data by four main sample methods: bottle, intake net and trap data. Panel <bold>(a)</bold> shows the full Atlantic Ocean, panel <bold>(b)</bold> the equatorial core of the Atlantic Ocean, panel <bold>(c)</bold> the Atlantic between <inline-formula><mml:math id="M327" display="inline"><mml:mn mathvariant="normal">30</mml:mn></mml:math></inline-formula><inline-formula><mml:math id="M328" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> S and <inline-formula><mml:math id="M329" display="inline"><mml:mn mathvariant="normal">30</mml:mn></mml:math></inline-formula><inline-formula><mml:math id="M330" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> N, and panel <bold>(d)</bold> its most northern area. In each plot, the density of the <inline-formula><mml:math id="M331" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">13</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>C<inline-formula><mml:math id="M332" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">POC</mml:mi></mml:msub></mml:math></inline-formula> sample groups with enough data was approximated by Gaussian KDEs and drawn with an individual color. An additional graph shows the comparison to the full-<inline-formula><mml:math id="M333" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">13</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>C<inline-formula><mml:math id="M334" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">POC</mml:mi></mml:msub></mml:math></inline-formula>-data density in the respective area. The numbers of used data points are indicated in each KDE label.</p></caption>
          <?xmltex \igopts{width=497.923228pt}?><graphic xlink:href="https://essd.copernicus.org/articles/13/4861/2021/essd-13-4861-2021-f03.png"/>

        </fig>

      <p id="d1e6303">For resolving differences between sampling methods we chose data from the Atlantic Ocean which comprise all four major methods (with data embracing a region between <inline-formula><mml:math id="M335" display="inline"><mml:mn mathvariant="normal">45</mml:mn></mml:math></inline-formula><inline-formula><mml:math id="M336" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> S and <inline-formula><mml:math id="M337" display="inline"><mml:mn mathvariant="normal">80</mml:mn></mml:math></inline-formula><inline-formula><mml:math id="M338" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> N and <inline-formula><mml:math id="M339" display="inline"><mml:mn mathvariant="normal">70</mml:mn></mml:math></inline-formula><inline-formula><mml:math id="M340" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> W and <inline-formula><mml:math id="M341" display="inline"><mml:mn mathvariant="normal">20</mml:mn></mml:math></inline-formula><inline-formula><mml:math id="M342" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> E). In addition, data were distinguished by tropical, temperate and polar subregions. By crudely sorting the data according to their sampling locations, we gain some insight into methodological variability within a subregion and may relate this to variations between the three subregions (Fig. <xref ref-type="fig" rid="Ch1.F3"/>). Overall, we do not find any severe bias with respect to any particular method. Bottle data seem to cover most of the lower <inline-formula><mml:math id="M343" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">13</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>C<inline-formula><mml:math id="M344" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">POC</mml:mi></mml:msub></mml:math></inline-formula> values that typically range between <inline-formula><mml:math id="M345" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">28</mml:mn></mml:mrow></mml:math></inline-formula> ‰ and <inline-formula><mml:math id="M346" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">21</mml:mn></mml:mrow></mml:math></inline-formula> ‰, which could be due to samples collected at greater depths. Intake and net measurements are rather restricted to the upper ocean layers, and these methods often yield <inline-formula><mml:math id="M347" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">13</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>C<inline-formula><mml:math id="M348" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">POC</mml:mi></mml:msub></mml:math></inline-formula> values larger than <inline-formula><mml:math id="M349" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">25</mml:mn></mml:mrow></mml:math></inline-formula> ‰, with some polar net measurements being a notable exception (Fig. <xref ref-type="fig" rid="Ch1.F3"/>d). For the tropical Atlantic (<inline-formula><mml:math id="M350" display="inline"><mml:mn mathvariant="normal">30</mml:mn></mml:math></inline-formula><inline-formula><mml:math id="M351" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> S–<inline-formula><mml:math id="M352" display="inline"><mml:mn mathvariant="normal">30</mml:mn></mml:math></inline-formula><inline-formula><mml:math id="M353" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> N) the net and intake measurements vary around <inline-formula><mml:math id="M354" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">21</mml:mn></mml:mrow></mml:math></inline-formula> ‰, with 95 % confidence limits between <inline-formula><mml:math id="M355" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">24</mml:mn></mml:mrow></mml:math></inline-formula> ‰ and <inline-formula><mml:math id="M356" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">18</mml:mn></mml:mrow></mml:math></inline-formula> ‰ (see Table <xref ref-type="table" rid="App1.Ch1.S1.T7"/> in the Appendix). According to our comparison, we could not identify any method that yields much greater variance of <inline-formula><mml:math id="M357" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">13</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>C<inline-formula><mml:math id="M358" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">POC</mml:mi></mml:msub></mml:math></inline-formula> values than others. The spatio-temporal variations of the <inline-formula><mml:math id="M359" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">13</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>C<inline-formula><mml:math id="M360" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">POC</mml:mi></mml:msub></mml:math></inline-formula> compare well among different methods, but we advise caution when comparing bottle measurements with data of other methods because of potential differences in the depth range covered.</p>
      <p id="d1e6546">In the full Atlantic Ocean, densities of intake and net data are most representative of the maximum full <inline-formula><mml:math id="M361" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">13</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>C<inline-formula><mml:math id="M362" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">POC</mml:mi></mml:msub></mml:math></inline-formula> sample. From the intake data shown here, <inline-formula><mml:math id="M363" display="inline"><mml:mrow><mml:mo>∼</mml:mo><mml:mn mathvariant="normal">80</mml:mn></mml:mrow></mml:math></inline-formula> % were sampled within <inline-formula><mml:math id="M364" display="inline"><mml:mn mathvariant="normal">30</mml:mn></mml:math></inline-formula><inline-formula><mml:math id="M365" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> S and <inline-formula><mml:math id="M366" display="inline"><mml:mn mathvariant="normal">30</mml:mn></mml:math></inline-formula><inline-formula><mml:math id="M367" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> N. When restricting data to this area, net data better resemble the full data. Of all net sample data, <inline-formula><mml:math id="M368" display="inline"><mml:mrow><mml:mo>∼</mml:mo><mml:mn mathvariant="normal">80</mml:mn></mml:mrow></mml:math></inline-formula> % were collected between <inline-formula><mml:math id="M369" display="inline"><mml:mn mathvariant="normal">30</mml:mn></mml:math></inline-formula> and <inline-formula><mml:math id="M370" display="inline"><mml:mn mathvariant="normal">60</mml:mn></mml:math></inline-formula><inline-formula><mml:math id="M371" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> N, where they fit the overall <inline-formula><mml:math id="M372" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">13</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>C<inline-formula><mml:math id="M373" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">POC</mml:mi></mml:msub></mml:math></inline-formula> density best, followed by trap data. Trap and bottle data deliver the lowest <inline-formula><mml:math id="M374" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">13</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>C<inline-formula><mml:math id="M375" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">POC</mml:mi></mml:msub></mml:math></inline-formula> measurements in the Atlantic Ocean. Of both data kinds, <inline-formula><mml:math id="M376" display="inline"><mml:mrow><mml:mo>∼</mml:mo><mml:mn mathvariant="normal">74</mml:mn></mml:mrow></mml:math></inline-formula> % to 85 % were sampled north of <inline-formula><mml:math id="M377" display="inline"><mml:mn mathvariant="normal">60</mml:mn></mml:math></inline-formula><inline-formula><mml:math id="M378" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> N. A restriction to this area shows trap and bottle samples being closely aligned to the full data in this region.</p>
      <?pagebreak page4869?><p id="d1e6708">The variance of the intake and trap data is <inline-formula><mml:math id="M379" display="inline"><mml:mrow><mml:mo>∼</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:math></inline-formula> ‰ and lower than the variance of all <inline-formula><mml:math id="M380" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">13</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>C<inline-formula><mml:math id="M381" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">POC</mml:mi></mml:msub></mml:math></inline-formula> together, which is <inline-formula><mml:math id="M382" display="inline"><mml:mrow><mml:mo>∼</mml:mo><mml:mn mathvariant="normal">5</mml:mn></mml:mrow></mml:math></inline-formula> ‰, the highest value observed here. Both bottle and net data show a variance of less than <inline-formula><mml:math id="M383" display="inline"><mml:mn mathvariant="normal">2</mml:mn></mml:math></inline-formula> ‰. Furthermore, trap, net and full <inline-formula><mml:math id="M384" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">13</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>C<inline-formula><mml:math id="M385" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">POC</mml:mi></mml:msub></mml:math></inline-formula> show a pronounced second mode in their densities, while bottle and net data show a clear individual maximum. Median values of net and intake data are <inline-formula><mml:math id="M386" display="inline"><mml:mrow><mml:mo>∼</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:math></inline-formula> ‰ to <inline-formula><mml:math id="M387" display="inline"><mml:mrow><mml:mo>∼</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:math></inline-formula> ‰ higher, respectively, than the one of the full data. This has a median of <inline-formula><mml:math id="M388" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">13</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>C<inline-formula><mml:math id="M389" display="inline"><mml:mrow><mml:msub><mml:mi/><mml:mi mathvariant="normal">POC</mml:mi></mml:msub><mml:mo>=</mml:mo><mml:mn mathvariant="normal">22.46</mml:mn></mml:mrow></mml:math></inline-formula> ‰. Both bottle and trap data show a <inline-formula><mml:math id="M390" display="inline"><mml:mrow><mml:mo>∼</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:math></inline-formula> ‰ lower median. Analytical errors and uncertainties are typically <inline-formula><mml:math id="M391" display="inline"><mml:mn mathvariant="normal">0.2</mml:mn></mml:math></inline-formula> ‰ or lower <xref ref-type="bibr" rid="bib1.bibx81" id="paren.160"/> and thus are not likely to significantly contribute to the much larger variance in the observations</p>
</sec>
</sec>
<sec id="Ch1.S5">
  <label>5</label><title>Spatial distribution</title>
      <p id="d1e6855">We show the spatial distribution of <inline-formula><mml:math id="M392" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">13</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>C<inline-formula><mml:math id="M393" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">POC</mml:mi></mml:msub></mml:math></inline-formula> measurements across the global ocean surface and depths. Most <inline-formula><mml:math id="M394" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">13</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>C<inline-formula><mml:math id="M395" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">POC</mml:mi></mml:msub></mml:math></inline-formula> data have been measured in the uppermost few ocean meters, and the best surface coverage is available for the Atlantic Ocean. Changes in <inline-formula><mml:math id="M396" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">13</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>C<inline-formula><mml:math id="M397" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">POC</mml:mi></mml:msub></mml:math></inline-formula> on the ocean surface were evaluated based on the UVic grid.</p>
<sec id="Ch1.S5.SS1">
  <label>5.1</label><title>Vertical distribution of the data set</title>
      <p id="d1e6926">Depth values are available for more than 80 % of the sample data with most of them located in the upper ocean. The distribution of depth measurements is shown in Fig. <xref ref-type="fig" rid="Ch1.F4"/>. An approximation of the depth measurements by Gaussian KDE is visualized in Fig. <xref ref-type="fig" rid="Ch1.F5"/> along with the <inline-formula><mml:math id="M398" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">13</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>C<inline-formula><mml:math id="M399" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">POC</mml:mi></mml:msub></mml:math></inline-formula> value distribution over them in the main ocean basins. The KDE resolves the best data coverage for the uppermost <inline-formula><mml:math id="M400" display="inline"><mml:mrow><mml:mo>∼</mml:mo><mml:mn mathvariant="normal">500</mml:mn></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M401" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:math></inline-formula> of the oceans and a second far smaller maximum at <inline-formula><mml:math id="M402" display="inline"><mml:mrow><mml:mo>∼</mml:mo><mml:mn mathvariant="normal">3800</mml:mn></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M403" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:math></inline-formula>. The depth ranges presented in Fig. <xref ref-type="fig" rid="Ch1.F4"/> correspond to the depth intervals of<?pagebreak page4870?> the UVic grid; only the two uppermost layers are presented in more detail, and the last four are combined. Within the first 130 <inline-formula><mml:math id="M404" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:math></inline-formula> we observe the highest data density and find nearly 2500 measurements of <inline-formula><mml:math id="M405" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">13</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>C<inline-formula><mml:math id="M406" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">POC</mml:mi></mml:msub></mml:math></inline-formula>, where nearly 1000 of them were measured within <inline-formula><mml:math id="M407" display="inline"><mml:mrow><mml:mo>[</mml:mo><mml:mn mathvariant="normal">0</mml:mn><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi></mml:mrow><mml:mo>,</mml:mo><mml:mn mathvariant="normal">10</mml:mn><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi></mml:mrow><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula>. A total of 200 <inline-formula><mml:math id="M408" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">13</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>C<inline-formula><mml:math id="M409" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">POC</mml:mi></mml:msub></mml:math></inline-formula> values were available in the depth interval <inline-formula><mml:math id="M410" display="inline"><mml:mrow><mml:mo>[</mml:mo><mml:mn mathvariant="normal">3430</mml:mn><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi></mml:mrow><mml:mo>,</mml:mo><mml:mn mathvariant="normal">3900</mml:mn><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi></mml:mrow><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula>. The two deepest values were taken from <xref ref-type="bibr" rid="bib1.bibx22" id="text.161"/> and <xref ref-type="bibr" rid="bib1.bibx4" id="text.162"/> and sampled at 4500 and 4850 <inline-formula><mml:math id="M411" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:math></inline-formula> depth, respectively.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F4"><?xmltex \currentcnt{4}?><?xmltex \def\figurename{Figure}?><label>Figure 4</label><caption><p id="d1e7106">Vertical data coverage in depth layers based on the UVic grid: the uppermost 50 <inline-formula><mml:math id="M412" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:math></inline-formula> is divided into subranges; below they are according to the UVic grid. The number of <inline-formula><mml:math id="M413" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">13</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>C<inline-formula><mml:math id="M414" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">POC</mml:mi></mml:msub></mml:math></inline-formula> data points available is plotted against its respective depth range.</p></caption>
          <?xmltex \igopts{width=241.848425pt}?><graphic xlink:href="https://essd.copernicus.org/articles/13/4861/2021/essd-13-4861-2021-f04.png"/>

        </fig>

      <?xmltex \floatpos{t}?><fig id="Ch1.F5" specific-use="star"><?xmltex \currentcnt{5}?><?xmltex \def\figurename{Figure}?><label>Figure 5</label><caption><p id="d1e7145">The vertical distribution of available <inline-formula><mml:math id="M415" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">13</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>C<inline-formula><mml:math id="M416" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">POC</mml:mi></mml:msub></mml:math></inline-formula> samples is shown <bold>(a)</bold> as the approximated density of the measurement depths and <bold>(b–d)</bold> as measured <inline-formula><mml:math id="M417" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">13</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>C<inline-formula><mml:math id="M418" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">POC</mml:mi></mml:msub></mml:math></inline-formula> values relative to their respective measurement depth. Panel <bold>(a)</bold> provides the estimated density of the depth values on the <inline-formula><mml:math id="M419" display="inline"><mml:mi>y</mml:mi></mml:math></inline-formula> axis and the depth in meters on the <inline-formula><mml:math id="M420" display="inline"><mml:mi>x</mml:mi></mml:math></inline-formula> axis. The estimation was realized by a Gaussian KDE. Panel <bold>(b)</bold> resolves the measurements of the Southern, Indian and Arctic Ocean, <bold>(c)</bold> the North Atlantic and South Atlantic, and <bold>(d)</bold> the North Pacific and South Pacific. The last three panels show the depth in meters on the <inline-formula><mml:math id="M421" display="inline"><mml:mi>y</mml:mi></mml:math></inline-formula> axis and the measured <inline-formula><mml:math id="M422" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">13</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>C<inline-formula><mml:math id="M423" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">POC</mml:mi></mml:msub></mml:math></inline-formula> value on the <inline-formula><mml:math id="M424" display="inline"><mml:mi>x</mml:mi></mml:math></inline-formula> axis. Different colors are used to mark different ocean basins.</p></caption>
          <?xmltex \igopts{width=497.923228pt}?><graphic xlink:href="https://essd.copernicus.org/articles/13/4861/2021/essd-13-4861-2021-f05.png"/>

        </fig>

      <p id="d1e7263">Values of <inline-formula><mml:math id="M425" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">13</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>C<inline-formula><mml:math id="M426" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">POC</mml:mi></mml:msub></mml:math></inline-formula> are, apart from in the North Pacific, closely aligned within the individual ocean basins. The Atlantic, South Pacific and Indian Ocean show values mostly of <inline-formula><mml:math id="M427" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">28</mml:mn></mml:mrow></mml:math></inline-formula> ‰ to <inline-formula><mml:math id="M428" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">19</mml:mn></mml:mrow></mml:math></inline-formula> ‰. The <inline-formula><mml:math id="M429" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">13</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>C<inline-formula><mml:math id="M430" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">POC</mml:mi></mml:msub></mml:math></inline-formula> values in the Arctic reach down to approximately <inline-formula><mml:math id="M431" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">30</mml:mn></mml:mrow></mml:math></inline-formula> ‰ and those in the Southern Ocean even to approximately <inline-formula><mml:math id="M432" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">35</mml:mn></mml:mrow></mml:math></inline-formula> ‰. The North Pacific shows a wide spread of <inline-formula><mml:math id="M433" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">13</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>C<inline-formula><mml:math id="M434" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">POC</mml:mi></mml:msub></mml:math></inline-formula> values, especially between 50 and 100 <inline-formula><mml:math id="M435" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:math></inline-formula> depth and at 2500 <inline-formula><mml:math id="M436" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:math></inline-formula> depth. There they reach either down to less than <inline-formula><mml:math id="M437" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">40</mml:mn></mml:mrow></mml:math></inline-formula> ‰ or up to more than approximately <inline-formula><mml:math id="M438" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">10</mml:mn></mml:mrow></mml:math></inline-formula> ‰ at a depth of 2500 <inline-formula><mml:math id="M439" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:math></inline-formula>.</p>
      <p id="d1e7412">Measurements in the North Atlantic, North Pacific and Indian Ocean reach down to more than 3500 <inline-formula><mml:math id="M440" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:math></inline-formula>. Measurements down to nearly 5000 <inline-formula><mml:math id="M441" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:math></inline-formula> were sampled in the Southern Ocean. The South Pacific was sampled down to a depth of 2500 <inline-formula><mml:math id="M442" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:math></inline-formula> and the Arctic Ocean and South Atlantic only in the uppermost few hundred meters.</p>
</sec>
<sec id="Ch1.S5.SS2">
  <label>5.2</label><title>Horizontal distribution of the data set</title>
      <p id="d1e7447">All global oceans are covered with <inline-formula><mml:math id="M443" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">13</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>C<inline-formula><mml:math id="M444" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">POC</mml:mi></mml:msub></mml:math></inline-formula> data. In Fig. <xref ref-type="fig" rid="Ch1.F6"/> the horizontal distribution of available data is depicted for both grids. For the UVic grid we show data from the file including all data independent of time; the WOA grid is averaged over all times. In both cases, we averaged data over all depths and also added data without depth information to best visualize the horizontal coverage. A similar plot, although with a different purpose, is given later in this work in Fig. <xref ref-type="fig" rid="Ch1.F10"/> showing only surface data locations.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F6"><?xmltex \currentcnt{6}?><?xmltex \def\figurename{Figure}?><label>Figure 6</label><caption><p id="d1e7476">Global distribution of the <inline-formula><mml:math id="M445" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">13</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>C<inline-formula><mml:math id="M446" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">POC</mml:mi></mml:msub></mml:math></inline-formula> data is visualized based on the <bold>(a)</bold> UVic grid and <bold>(b)</bold> WOA grid. The data used for <bold>(a)</bold> are independent of time and include all available measurements with latitude and longitude information. The data shown in <bold>(b)</bold> include only data with complete temporal metadata and are averaged over the years 1964–2015. Both kinds of data are averaged over all measurements including data with missing depth information. Each colored square refers to a grid cell with available <inline-formula><mml:math id="M447" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">13</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>C<inline-formula><mml:math id="M448" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">POC</mml:mi></mml:msub></mml:math></inline-formula> measurements. The colors indicate the <inline-formula><mml:math id="M449" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">13</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>C<inline-formula><mml:math id="M450" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">POC</mml:mi></mml:msub></mml:math></inline-formula> value in the respective grid cell.</p></caption>
          <?xmltex \igopts{width=241.848425pt}?><graphic xlink:href="https://essd.copernicus.org/articles/13/4861/2021/essd-13-4861-2021-f06.png"/>

        </fig>

      <p id="d1e7558">Many cruises are visible as lines formed by connected grid cells in Fig. <xref ref-type="fig" rid="Ch1.F6"/>, especially in the Atlantic and Indian Ocean and less so in the Southern Ocean. Also, smaller sample spots occur, mainly located in the Pacific, Arctic and Southern Ocean. The Atlantic Ocean provides the best data coverage. Then the Southern and Indian oceans contain the next best coverage with the North Pacific having the sparsest.</p>
      <p id="d1e7564">The highest <inline-formula><mml:math id="M451" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">13</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>C<inline-formula><mml:math id="M452" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">POC</mml:mi></mml:msub></mml:math></inline-formula> values are evident in low-latitude regions. In the Atlantic Ocean the highest values were measured between 0–30<inline-formula><mml:math id="M453" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> N and 30–60<inline-formula><mml:math id="M454" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> W as well as close to the western coast of France, reaching up to at least <inline-formula><mml:math id="M455" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">17</mml:mn></mml:mrow></mml:math></inline-formula> ‰. The Indian Ocean shows generally high values of approximately <inline-formula><mml:math id="M456" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">20</mml:mn></mml:mrow></mml:math></inline-formula> ‰. In the Pacific Ocean the highest values are close to the Peruvian coast and Papua New Guinea. We also find high values in the Bering Strait and on the northern edge of the Southern Ocean at around 65<inline-formula><mml:math id="M457" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> E.</p>
      <p id="d1e7635">The lowest <inline-formula><mml:math id="M458" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">13</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>C<inline-formula><mml:math id="M459" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">POC</mml:mi></mml:msub></mml:math></inline-formula> values are mostly found in the Southern Ocean. Nearly all measured grid cells here belong to <inline-formula><mml:math id="M460" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">13</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>C<inline-formula><mml:math id="M461" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">POC</mml:mi></mml:msub></mml:math></inline-formula> values lower than around <inline-formula><mml:math id="M462" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">28</mml:mn></mml:mrow></mml:math></inline-formula> ‰. The Arctic Ocean shows low values as well, for instance in the Kara Sea. The lowest values in the Pacific Ocean occur in the Southern Ocean at high latitudes.</p>
</sec>
<sec id="Ch1.S5.SS3">
  <label>5.3</label><?xmltex \opttitle{Meridional trend of $\delta^{{13}}$C${}_{\mathrm{POC}}$ values}?><title>Meridional trend of <inline-formula><mml:math id="M463" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">13</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>C<inline-formula><mml:math id="M464" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">POC</mml:mi></mml:msub></mml:math></inline-formula> values</title>
      <p id="d1e7717">We show the north–south trend of <inline-formula><mml:math id="M465" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">13</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>C<inline-formula><mml:math id="M466" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">POC</mml:mi></mml:msub></mml:math></inline-formula> over the Atlantic Ocean based on the time-independent UVic grid and restricted to the uppermost 130 <inline-formula><mml:math id="M467" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:math></inline-formula>, which resembles the euphotic zone in the UVic model. We chose this section due to it having the best data coverage. A biome mask according to <xref ref-type="bibr" rid="bib1.bibx21" id="text.163"/> was applied to the gridded data, thereby defining latitudinal zones in the entire Atlantic Ocean. Distributions of <inline-formula><mml:math id="M468" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">13</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>C<inline-formula><mml:math id="M469" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">POC</mml:mi></mml:msub></mml:math></inline-formula> within the biomes are shown in Fig. <xref ref-type="fig" rid="Ch1.F7"/> (see also Table <xref ref-type="table" rid="App1.Ch1.S1.T8"/> in the Appendix).</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F7" specific-use="star"><?xmltex \currentcnt{7}?><?xmltex \def\figurename{Figure}?><label>Figure 7</label><caption><p id="d1e7778">The north–south trend of sampled <inline-formula><mml:math id="M470" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">13</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>C<inline-formula><mml:math id="M471" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">POC</mml:mi></mml:msub></mml:math></inline-formula> values is visualized by a cross section over the Atlantic Ocean. Biomes <xref ref-type="bibr" rid="bib1.bibx21" id="paren.164"/> define the latitudinal bands of the interpolated data set. Panel <bold>(a)</bold> presents a Gaussian KDE for each biome approximating the density of the contained <inline-formula><mml:math id="M472" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">13</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>C<inline-formula><mml:math id="M473" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">POC</mml:mi></mml:msub></mml:math></inline-formula> data. Different colors mark the individual biomes, and a black line shows the general global <inline-formula><mml:math id="M474" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">13</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>C<inline-formula><mml:math id="M475" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">POC</mml:mi></mml:msub></mml:math></inline-formula> distribution. The number in parentheses in each KDE label counts the number of <inline-formula><mml:math id="M476" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">13</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>C<inline-formula><mml:math id="M477" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">POC</mml:mi></mml:msub></mml:math></inline-formula> measurements used for the respective graph. Panel <bold>(b)</bold> shows in a box plot the steep decline in <inline-formula><mml:math id="M478" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">13</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>C<inline-formula><mml:math id="M479" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">POC</mml:mi></mml:msub></mml:math></inline-formula> values from the tropical biomes towards the higher latitudes. The <inline-formula><mml:math id="M480" display="inline"><mml:mi>x</mml:mi></mml:math></inline-formula> axis provides the mean latitudes of the biomes introduced in <bold>(a)</bold>. The <inline-formula><mml:math id="M481" display="inline"><mml:mi>y</mml:mi></mml:math></inline-formula> axis measures the <inline-formula><mml:math id="M482" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">13</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>C<inline-formula><mml:math id="M483" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">POC</mml:mi></mml:msub></mml:math></inline-formula> value. Panel <bold>(c)</bold> shows the biome locations. Each biome is drawn in the color of its corresponding density estimate in <bold>(a)</bold> above. The biome numbers increase from the north to the south.</p></caption>
          <?xmltex \igopts{width=384.112205pt}?><graphic xlink:href="https://essd.copernicus.org/articles/13/4861/2021/essd-13-4861-2021-f07.png"/>

        </fig>

      <p id="d1e7942">The biomes derived by <xref ref-type="bibr" rid="bib1.bibx21" id="text.165"/> are areas with consistent biological and ecological properties. The chosen biomes cover the Atlantic Ocean and extend to the Arctic Sea and parts of the Southern Ocean. The biomes are numbered 9 to 17, excluding 14. The biomes 15 to 17 represent parts of the Southern Ocean and were restricted to 70<inline-formula><mml:math id="M484" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> W and 20<inline-formula><mml:math id="M485" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> E. Their locations are shown in Fig. <xref ref-type="fig" rid="Ch1.F7"/>.</p>
      <p id="d1e7969">Observations by the biomes are consistent with the ones from Fig. <xref ref-type="fig" rid="Ch1.F6"/>. The two biomes showing the lowest <inline-formula><mml:math id="M486" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">13</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>C<inline-formula><mml:math id="M487" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">POC</mml:mi></mml:msub></mml:math></inline-formula> values from <inline-formula><mml:math id="M488" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">28</mml:mn></mml:mrow></mml:math></inline-formula> ‰ to <inline-formula><mml:math id="M489" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">29</mml:mn></mml:mrow></mml:math></inline-formula> ‰  are those located farthest south. The biome located farthest north contains the next-lowest values of about <inline-formula><mml:math id="M490" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">24</mml:mn></mml:mrow></mml:math></inline-formula> ‰. The biomes with more positive <inline-formula><mml:math id="M491" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">13</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>C<inline-formula><mml:math id="M492" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">POC</mml:mi></mml:msub></mml:math></inline-formula> values are in the lower latitudes and show similarly higher values from <inline-formula><mml:math id="M493" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>23 ‰ to <inline-formula><mml:math id="M494" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">21</mml:mn></mml:mrow></mml:math></inline-formula> ‰.</p><?xmltex \hack{\newpage}?>
</sec>
</sec>
<?pagebreak page4871?><sec id="Ch1.S6">
  <label>6</label><title>Temporal distribution of the data set</title>
      <p id="d1e8072">The full <inline-formula><mml:math id="M495" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">13</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>C<inline-formula><mml:math id="M496" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">POC</mml:mi></mml:msub></mml:math></inline-formula> data cover a time period of around 50 years over 1964–2015 and all 12 calendar months. The number of samples measured during individual decades varies considerably with most measurements in the 1990s. Coverage within the months is quite comparable; only winter months in both hemispheres exhibit fewer data.</p>
      <p id="d1e8095">The distribution of <inline-formula><mml:math id="M497" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">13</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>C<inline-formula><mml:math id="M498" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">POC</mml:mi></mml:msub></mml:math></inline-formula> samples over the years is resolved in Table <xref ref-type="table" rid="Ch1.T4"/> and is visually approximated by Gaussian KDE in Fig. <xref ref-type="fig" rid="Ch1.F8"/>. The 1990s shows the best data coverage. More than half of the data points are associated with a year in this decade, which is visible by a pronounced maximum in the estimated density. The sparsest data are found in the 1960s, when only <inline-formula><mml:math id="M499" display="inline"><mml:mn mathvariant="normal">74</mml:mn></mml:math></inline-formula> data points were sampled. All other decades come with between around <inline-formula><mml:math id="M500" display="inline"><mml:mn mathvariant="normal">300</mml:mn></mml:math></inline-formula> and <inline-formula><mml:math id="M501" display="inline"><mml:mn mathvariant="normal">600</mml:mn></mml:math></inline-formula> <inline-formula><mml:math id="M502" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">13</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>C<inline-formula><mml:math id="M503" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">POC</mml:mi></mml:msub></mml:math></inline-formula> data points. The latest data are mostly from Anne Lorrain, <xref ref-type="bibr" rid="bib1.bibx50" id="text.166"/> and <xref ref-type="bibr" rid="bib1.bibx40" id="text.167"/>. The oldest data were taken from the data sets by Robyn Tuerena, <xref ref-type="bibr" rid="bib1.bibx15" id="text.168"/>, and <xref ref-type="bibr" rid="bib1.bibx18" id="text.169"/>.</p>

<?xmltex \floatpos{t}?><table-wrap id="Ch1.T4"><?xmltex \currentcnt{4}?><label>Table 4</label><caption><p id="d1e8180">Data coverage within the available decades: the first column lists the available decades and the second column the number of sampled <inline-formula><mml:math id="M504" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">13</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>C<inline-formula><mml:math id="M505" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">POC</mml:mi></mml:msub></mml:math></inline-formula> data points within this time frame.</p></caption><oasis:table frame="topbot"><oasis:tgroup cols="2">
     <oasis:colspec colnum="1" colname="col1" align="left"/>
     <oasis:colspec colnum="2" colname="col2" align="right"/>
     <oasis:thead>
       <oasis:row>
         <oasis:entry colname="col1">Decade</oasis:entry>
         <oasis:entry colname="col2"><inline-formula><mml:math id="M506" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">13</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>C<inline-formula><mml:math id="M507" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">POC</mml:mi></mml:msub></mml:math></inline-formula> values</oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2">available</oasis:entry>
       </oasis:row>
     </oasis:thead>
     <oasis:tbody>
       <oasis:row>
         <oasis:entry colname="col1">1960s</oasis:entry>
         <oasis:entry colname="col2"><inline-formula><mml:math id="M508" display="inline"><mml:mn mathvariant="normal">74</mml:mn></mml:math></inline-formula></oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">1970s</oasis:entry>
         <oasis:entry colname="col2"><inline-formula><mml:math id="M509" display="inline"><mml:mn mathvariant="normal">321</mml:mn></mml:math></inline-formula></oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">1980s</oasis:entry>
         <oasis:entry colname="col2"><inline-formula><mml:math id="M510" display="inline"><mml:mn mathvariant="normal">463</mml:mn></mml:math></inline-formula></oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">1990s</oasis:entry>
         <oasis:entry colname="col2"><inline-formula><mml:math id="M511" display="inline"><mml:mn mathvariant="normal">2403</mml:mn></mml:math></inline-formula></oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">2000s</oasis:entry>
         <oasis:entry colname="col2"><inline-formula><mml:math id="M512" display="inline"><mml:mn mathvariant="normal">614</mml:mn></mml:math></inline-formula></oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">2010s</oasis:entry>
         <oasis:entry colname="col2"><inline-formula><mml:math id="M513" display="inline"><mml:mn mathvariant="normal">589</mml:mn></mml:math></inline-formula></oasis:entry>
       </oasis:row>
     </oasis:tbody>
   </oasis:tgroup></oasis:table></table-wrap>

      <?xmltex \floatpos{t}?><fig id="Ch1.F8"><?xmltex \currentcnt{8}?><?xmltex \def\figurename{Figure}?><label>Figure 8</label><caption><p id="d1e8342">The distribution of <inline-formula><mml:math id="M514" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">13</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>C<inline-formula><mml:math id="M515" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">POC</mml:mi></mml:msub></mml:math></inline-formula> data samples over the years approximated by Gaussian KDE. The density is drawn on the <inline-formula><mml:math id="M516" display="inline"><mml:mi>y</mml:mi></mml:math></inline-formula> axis; the sample year is on the <inline-formula><mml:math id="M517" display="inline"><mml:mi>x</mml:mi></mml:math></inline-formula> axis. A higher altitude of the graph indicates years with more available data.</p></caption>
        <?xmltex \igopts{width=241.848425pt}?><graphic xlink:href="https://essd.copernicus.org/articles/13/4861/2021/essd-13-4861-2021-f08.png"/>

      </fig>

<sec id="Ch1.S6.SS1">
  <label>6.1</label><title>Monthly variations</title>
      <?pagebreak page4872?><p id="d1e8392">Monthly clustered data of the Northern Hemisphere and Southern Hemisphere show monthly variations, but more observations are required to demonstrate robust seasonality within different regions. Since more than 50 % of the available <inline-formula><mml:math id="M518" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">13</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>C<inline-formula><mml:math id="M519" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">POC</mml:mi></mml:msub></mml:math></inline-formula> data originate in the 1990s, we selected data from this decade to exclude changes that might be introduced by longer-term trends. Furthermore, we restricted our data to the uppermost 130 <inline-formula><mml:math id="M520" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:math></inline-formula>, which resembles the euphotic zone in the UVic model. In Fig. <xref ref-type="fig" rid="Ch1.F9"/> we displayed all months with enough data points by a KDE and indicate the same months by the same colors. We excluded July, November and December in the Northern Hemisphere from this KDE representation because these months provided three or fewer data points each, which resulted in a KDE that overgrew the others by magnitudes and made their visual comparison difficult. The KDEs are supported by comparison of the median values of the individual months in Table <xref ref-type="table" rid="Ch1.T5"/>.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F9"><?xmltex \currentcnt{9}?><?xmltex \def\figurename{Figure}?><label>Figure 9</label><caption><p id="d1e8429">Monthly variations are split up by hemisphere with the Northern Hemisphere in <bold>(a)</bold> and Southern Hemisphere in <bold>(b)</bold>. Due to their having the best data coverage, the analyses are carried out within the 1990s and in the uppermost 130 <inline-formula><mml:math id="M521" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:math></inline-formula>. The <inline-formula><mml:math id="M522" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">13</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>C<inline-formula><mml:math id="M523" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">POC</mml:mi></mml:msub></mml:math></inline-formula> values are split up by sample month, and for every month with enough available data points (here more than three) a Gaussian KDE approximates their density. The number of used data points is given in each KDE label. For each hemisphere the densities are drawn all together; each month is indicated by an individual color.</p></caption>
          <?xmltex \igopts{width=241.848425pt}?><graphic xlink:href="https://essd.copernicus.org/articles/13/4861/2021/essd-13-4861-2021-f09.png"/>

        </fig>

<?xmltex \floatpos{t}?><table-wrap id="Ch1.T5" specific-use="star"><?xmltex \currentcnt{5}?><label>Table 5</label><caption><p id="d1e8475">Monthly median change in <inline-formula><mml:math id="M524" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">13</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>C<inline-formula><mml:math id="M525" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">POC</mml:mi></mml:msub></mml:math></inline-formula>. Due to their having the best data coverage, the analyses were carried out within the 1990s and in the uppermost 130 <inline-formula><mml:math id="M526" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:math></inline-formula>.</p></caption><oasis:table frame="topbot"><?xmltex \begin{scaleboxenv}{.93}[.93]?><oasis:tgroup cols="13">
     <oasis:colspec colnum="1" colname="col1" align="left"/>
     <oasis:colspec colnum="2" colname="col2" align="right"/>
     <oasis:colspec colnum="3" colname="col3" align="right"/>
     <oasis:colspec colnum="4" colname="col4" align="right"/>
     <oasis:colspec colnum="5" colname="col5" align="right"/>
     <oasis:colspec colnum="6" colname="col6" align="right"/>
     <oasis:colspec colnum="7" colname="col7" align="right"/>
     <oasis:colspec colnum="8" colname="col8" align="right"/>
     <oasis:colspec colnum="9" colname="col9" align="right"/>
     <oasis:colspec colnum="10" colname="col10" align="right"/>
     <oasis:colspec colnum="11" colname="col11" align="right"/>
     <oasis:colspec colnum="12" colname="col12" align="right"/>
     <oasis:colspec colnum="13" colname="col13" align="right"/>
     <oasis:thead>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1">Hemisphere</oasis:entry>
         <oasis:entry colname="col2">Jan</oasis:entry>
         <oasis:entry colname="col3">Feb</oasis:entry>
         <oasis:entry colname="col4">Mar</oasis:entry>
         <oasis:entry colname="col5">Apr</oasis:entry>
         <oasis:entry colname="col6">May</oasis:entry>
         <oasis:entry colname="col7">Jun</oasis:entry>
         <oasis:entry colname="col8">Jul</oasis:entry>
         <oasis:entry colname="col9">Aug</oasis:entry>
         <oasis:entry colname="col10">Sep</oasis:entry>
         <oasis:entry colname="col11">Oct</oasis:entry>
         <oasis:entry colname="col12">Nov</oasis:entry>
         <oasis:entry colname="col13">Dec</oasis:entry>
       </oasis:row>
     </oasis:thead>
     <oasis:tbody>
       <oasis:row>
         <oasis:entry colname="col1">North</oasis:entry>
         <oasis:entry colname="col2"/>
         <oasis:entry colname="col3"><inline-formula><mml:math id="M527" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>24.815</oasis:entry>
         <oasis:entry colname="col4"><inline-formula><mml:math id="M528" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>24.12</oasis:entry>
         <oasis:entry colname="col5"><inline-formula><mml:math id="M529" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>20.</oasis:entry>
         <oasis:entry colname="col6"><inline-formula><mml:math id="M530" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>24.06</oasis:entry>
         <oasis:entry colname="col7"><inline-formula><mml:math id="M531" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>24.7</oasis:entry>
         <oasis:entry colname="col8"><inline-formula><mml:math id="M532" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>21.746</oasis:entry>
         <oasis:entry colname="col9"><inline-formula><mml:math id="M533" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>23.67</oasis:entry>
         <oasis:entry colname="col10"><inline-formula><mml:math id="M534" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>22.83</oasis:entry>
         <oasis:entry colname="col11"><inline-formula><mml:math id="M535" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>21.4</oasis:entry>
         <oasis:entry colname="col12"><inline-formula><mml:math id="M536" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>23.5455</oasis:entry>
         <oasis:entry colname="col13"><inline-formula><mml:math id="M537" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>23.368</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">South</oasis:entry>
         <oasis:entry colname="col2"><inline-formula><mml:math id="M538" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>26.45</oasis:entry>
         <oasis:entry colname="col3"><inline-formula><mml:math id="M539" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>26.41</oasis:entry>
         <oasis:entry colname="col4"><inline-formula><mml:math id="M540" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>23.34</oasis:entry>
         <oasis:entry colname="col5"><inline-formula><mml:math id="M541" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>28.2</oasis:entry>
         <oasis:entry colname="col6"/>
         <oasis:entry colname="col7"/>
         <oasis:entry colname="col8"/>
         <oasis:entry colname="col9"/>
         <oasis:entry colname="col10"><inline-formula><mml:math id="M542" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>28.65</oasis:entry>
         <oasis:entry colname="col11"><inline-formula><mml:math id="M543" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>27.95</oasis:entry>
         <oasis:entry colname="col12"><inline-formula><mml:math id="M544" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>27.9</oasis:entry>
         <oasis:entry colname="col13"><inline-formula><mml:math id="M545" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>26.08</oasis:entry>
       </oasis:row>
     </oasis:tbody>
   </oasis:tgroup><?xmltex \end{scaleboxenv}?></oasis:table></table-wrap>

      <?xmltex \floatpos{t}?><fig id="Ch1.F10" specific-use="star"><?xmltex \currentcnt{10}?><?xmltex \def\figurename{Figure}?><label>Figure 10</label><caption><p id="d1e8789">Grid locations of the <inline-formula><mml:math id="M546" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">13</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>C<inline-formula><mml:math id="M547" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">POC</mml:mi></mml:msub></mml:math></inline-formula> data, colored by sampling decades. Only data of the uppermost layer are considered in this plot. The different colors indicate the different sample decades and were plotted increasing in time above each other.</p></caption>
          <?xmltex \igopts{width=352.814173pt}?><graphic xlink:href="https://essd.copernicus.org/articles/13/4861/2021/essd-13-4861-2021-f10.png"/>

        </fig>

      <p id="d1e8818"><?xmltex \hack{\newpage}?>The monthly resolved variations in <inline-formula><mml:math id="M548" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">13</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>C<inline-formula><mml:math id="M549" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">POC</mml:mi></mml:msub></mml:math></inline-formula> do not reveal any significant seasonal pattern (Fig. <xref ref-type="fig" rid="Ch1.F9"/>; see also Table <xref ref-type="table" rid="App1.Ch1.S1.T9"/> in the Appendix). In general we find the highest <inline-formula><mml:math id="M550" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">13</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>C<inline-formula><mml:math id="M551" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">POC</mml:mi></mml:msub></mml:math></inline-formula> values in the Northern Hemisphere, with a median <inline-formula><mml:math id="M552" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">13</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>C<inline-formula><mml:math id="M553" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">POC</mml:mi></mml:msub></mml:math></inline-formula> of <inline-formula><mml:math id="M554" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">20.4</mml:mn></mml:mrow></mml:math></inline-formula> ‰ in April and a median <inline-formula><mml:math id="M555" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">13</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>C<inline-formula><mml:math id="M556" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">POC</mml:mi></mml:msub></mml:math></inline-formula> of <inline-formula><mml:math id="M557" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">21.5</mml:mn></mml:mrow></mml:math></inline-formula> ‰ in October, which are typical months with enhanced primary production (Northern Hemisphere spring and autumn blooms).  Similarly high median <inline-formula><mml:math id="M558" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">13</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>C<inline-formula><mml:math id="M559" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">POC</mml:mi></mml:msub></mml:math></inline-formula> values cannot be ascertained for any month with data of the Southern Hemisphere, where values of <inline-formula><mml:math id="M560" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">13</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>C<inline-formula><mml:math id="M561" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">POC</mml:mi></mml:msub></mml:math></inline-formula> above <inline-formula><mml:math id="M562" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">20</mml:mn></mml:mrow></mml:math></inline-formula> ‰ have rarely been observed at any time of the year. In fact, there is an overall tendency towards low <inline-formula><mml:math id="M563" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">13</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>C<inline-formula><mml:math id="M564" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">POC</mml:mi></mml:msub></mml:math></inline-formula> values for the Southern Hemisphere, which becomes well expressed during the months April and September, with medians of <inline-formula><mml:math id="M565" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">13</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>C<inline-formula><mml:math id="M566" display="inline"><mml:mrow><mml:msub><mml:mi/><mml:mi mathvariant="normal">POC</mml:mi></mml:msub><mml:mo>=</mml:mo><mml:mo>-</mml:mo><mml:mn mathvariant="normal">28.1</mml:mn></mml:mrow></mml:math></inline-formula> ‰ and <inline-formula><mml:math id="M567" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">13</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>C<inline-formula><mml:math id="M568" display="inline"><mml:mrow><mml:msub><mml:mi/><mml:mi mathvariant="normal">POC</mml:mi></mml:msub><mml:mo>=</mml:mo><mml:mo>-</mml:mo><mml:mn mathvariant="normal">28.5</mml:mn></mml:mrow></mml:math></inline-formula> ‰, respectively. However, interpretations of this north–south trend should be treated with caution because the apparent tendency is likely conditioned by some imbalance in the number of high-latitude data points. Compared to the number of data points from the Southern Ocean, samples from the Arctic Ocean are considerably underrepresented (see also Fig. <xref ref-type="fig" rid="Ch1.F10"/>). Furthermore, the discrimination between data of the Northern Hemisphere and Southern Hemisphere is crude, and we encourage the use of our data collection for more advanced analyses of seasonal, monthly based changes in the <inline-formula><mml:math id="M569" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">13</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>C<inline-formula><mml:math id="M570" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">POC</mml:mi></mml:msub></mml:math></inline-formula> signal.</p>
</sec>
<sec id="Ch1.S6.SS2">
  <label>6.2</label><title>Decadal variations</title>
      <p id="d1e9084">The decadal UVic grid NetCDF files are the basis for showing long-term changes in the <inline-formula><mml:math id="M571" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">13</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>C<inline-formula><mml:math id="M572" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">POC</mml:mi></mml:msub></mml:math></inline-formula> data. An overview of where the data within the individual decades were sampled is given in Fig. <xref ref-type="fig" rid="Ch1.F10"/>. This shows that the sparsest coverage was obtained in the 1960s, located close to the central American continent. Most data in the Indian Ocean were sampled in the 1970s. A cruise across the southern part of the Atlantic Ocean up to 30<inline-formula><mml:math id="M573" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> N and some samples close to Iceland were also measured in this decade. The 1980s is similarly sparse in spatial coverage to the 1960s. Measurements of the 1980s were taken at locations in the Southern Ocean, in the Arctic and in the Atlantic close to the Equator. The 1990s has the best coverage including most ocean basins. Most Southern Ocean data were sampled within the 1990s. The 2000s provides good coverage of the Arctic Ocean. Finally, the 2010s data were mostly sampled in the Southern Hemisphere in the open Pacific and Atlantic. A smaller number of Eurasian continental sea data were also part of the 2010s samples.</p>
      <p id="d1e9118">We show the changes in <inline-formula><mml:math id="M574" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">13</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>C<inline-formula><mml:math id="M575" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">POC</mml:mi></mml:msub></mml:math></inline-formula> values over the available decades by density estimates in Fig. <xref ref-type="fig" rid="Ch1.F11"/> (see also Table <xref ref-type="table" rid="App1.Ch1.S1.T10"/> in the Appendix) and by their median in Fig. <xref ref-type="fig" rid="Ch1.F12"/>. Figure <xref ref-type="fig" rid="Ch1.F11"/> visualizes the sparse coverage of the Southern Ocean outside of the 1990s, which is why the area is not part of any further discussion here. The Southern Ocean is defined as the ocean area south of 45<inline-formula><mml:math id="M576" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> S. All presented analyses were restricted to the euphotic zone, i.e., the uppermost 130 <inline-formula><mml:math id="M577" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:math></inline-formula> resembling the two first layers of the UVic grid.</p>

      <?xmltex \floatpos{p}?><fig id="Ch1.F11"><?xmltex \currentcnt{11}?><?xmltex \def\figurename{Figure}?><label>Figure 11</label><caption><p id="d1e9169">The decadal shift in <inline-formula><mml:math id="M578" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">13</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>C<inline-formula><mml:math id="M579" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">POC</mml:mi></mml:msub></mml:math></inline-formula> values for all but the Southern Ocean <bold>(a)</bold> and only the Southern Ocean <bold>(b)</bold> shown by estimated densities of <inline-formula><mml:math id="M580" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">13</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>C<inline-formula><mml:math id="M581" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">POC</mml:mi></mml:msub></mml:math></inline-formula> values. The differently colored graphs refer to the individual decades. Southern Ocean data are sparsely covered, and the region does not provide enough data for a reasonable comparison.</p></caption>
          <?xmltex \igopts{width=236.157874pt}?><graphic xlink:href="https://essd.copernicus.org/articles/13/4861/2021/essd-13-4861-2021-f11.png"/>

        </fig>

      <?xmltex \floatpos{t}?><fig id="Ch1.F12"><?xmltex \currentcnt{12}?><?xmltex \def\figurename{Figure}?><label>Figure 12</label><caption><p id="d1e9228">The decadal shift in <inline-formula><mml:math id="M582" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">13</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>C<inline-formula><mml:math id="M583" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">POC</mml:mi></mml:msub></mml:math></inline-formula> values in the uppermost 130 <inline-formula><mml:math id="M584" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:math></inline-formula> for all but the Southern Ocean: <inline-formula><mml:math id="M585" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">13</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>C<inline-formula><mml:math id="M586" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">POC</mml:mi></mml:msub></mml:math></inline-formula> decadal median against the decades. The shaded area around the graph marks the variance of the respective decade in each direction.</p></caption>
          <?xmltex \igopts{width=241.848425pt}?><graphic xlink:href="https://essd.copernicus.org/articles/13/4861/2021/essd-13-4861-2021-f12.png"/>

        </fig>

      <?pagebreak page4873?><p id="d1e9285"><?xmltex \hack{\newpage}?>A clear decrease in <inline-formula><mml:math id="M587" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">13</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>C<inline-formula><mml:math id="M588" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">POC</mml:mi></mml:msub></mml:math></inline-formula> densities in Fig. <xref ref-type="fig" rid="Ch1.F11"/> can be identified for the global ocean outside of the Southern Ocean. All decades but the 1980s show one clear maximum in their approximated densities. The 1980s shows a second expressed density maximum at lower values. The main maximum shifts from the 1960s at <inline-formula><mml:math id="M589" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">13</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>C<inline-formula><mml:math id="M590" display="inline"><mml:mrow><mml:msub><mml:mi/><mml:mi mathvariant="normal">POC</mml:mi></mml:msub><mml:mo>≈</mml:mo><mml:mo>-</mml:mo><mml:mn mathvariant="normal">19.9</mml:mn></mml:mrow></mml:math></inline-formula> ‰ to the 2010s at <inline-formula><mml:math id="M591" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">13</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>C<inline-formula><mml:math id="M592" display="inline"><mml:mrow><mml:msub><mml:mi/><mml:mi mathvariant="normal">POC</mml:mi></mml:msub><mml:mo>≈</mml:mo><mml:mo>-</mml:mo><mml:mn mathvariant="normal">23</mml:mn></mml:mrow></mml:math></inline-formula> ‰. This decrease is also clearly visible in the comparison of the decadal medians (Fig. <xref ref-type="fig" rid="Ch1.F12"/>). The Southern Ocean provides far worse data coverage. Only the 1980s and 1990s include enough data to construct a comparable KDE. Due to this very low data availability, all of these results must be taken with the highest caution.</p>
</sec>
</sec>
<?pagebreak page4874?><sec id="Ch1.S7">
  <label>7</label><title>Data availability</title>
      <p id="d1e9377">The described <inline-formula><mml:math id="M593" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">13</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>C<inline-formula><mml:math id="M594" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">POC</mml:mi></mml:msub></mml:math></inline-formula> data are available at <uri>https://doi.org/10.1594/PANGAEA.929931</uri> <xref ref-type="bibr" rid="bib1.bibx75" id="paren.170"/>.</p>
</sec>
<sec id="Ch1.S8" sec-type="conclusions">
  <label>8</label><title>Conclusions</title>
      <p id="d1e9414">The aim of this work was to construct the largest publicly accessible <inline-formula><mml:math id="M595" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">13</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>C<inline-formula><mml:math id="M596" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">POC</mml:mi></mml:msub></mml:math></inline-formula> data set. The starting point of our collection and analyses was the readily available data collection of <xref ref-type="bibr" rid="bib1.bibx31" id="text.171"/>, which comprised 467 data points. Our primary objective was to elaborate this set of data by adding useful meta-information from the original publications and by introducing additional <inline-formula><mml:math id="M597" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">13</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>C<inline-formula><mml:math id="M598" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">POC</mml:mi></mml:msub></mml:math></inline-formula> measurements, as recorded in the world ocean database PANGAEA and made available by Robyn Tuerena and Anne Lorrain.  This way we could expand the data collection substantially, from the original 467 to 4732 data points. This new <inline-formula><mml:math id="M599" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">13</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>C<inline-formula><mml:math id="M600" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">POC</mml:mi></mml:msub></mml:math></inline-formula> data set provides the best coverage to date and will be a useful tool to help constrain many marine carbon cycling processes and pathways from ocean–atmosphere exchange to marine ecosystems, as well as to better understand observations and validate models. To ensure dynamic growth of our data collection, the corresponding author will provide annual updates of the data set. Furthermore, he may be contacted by any interested researcher who would like to add their data to this collection.</p>
      <p id="d1e9481">The data are provided in a csv structure and interpolated onto two different global grids in NetCDF format. The csv file contains the <inline-formula><mml:math id="M601" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">13</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>C<inline-formula><mml:math id="M602" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">POC</mml:mi></mml:msub></mml:math></inline-formula> values, their anomalies to their mean and all available meta-information. The interpolations are provided on a coarse <inline-formula><mml:math id="M603" display="inline"><mml:mrow><mml:mn mathvariant="normal">1.8</mml:mn><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup><mml:mo>×</mml:mo><mml:mn mathvariant="normal">3.6</mml:mn><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula> grid of a <inline-formula><mml:math id="M604" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">13</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>C<inline-formula><mml:math id="M605" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">POC</mml:mi></mml:msub></mml:math></inline-formula>-simulating model and a finer <inline-formula><mml:math id="M606" display="inline"><mml:mrow><mml:mn mathvariant="normal">1</mml:mn><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup><mml:mo>×</mml:mo><mml:mn mathvariant="normal">1</mml:mn><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula> grid by the World Ocean Atlas. We have provided a detailed description of our data collection procedure, all added meta-information and data coverage as well of the interpolation procedure carried out. We took the utmost care to make all data coherent, comparable and back-trackable and all adjustments transparent. Assumptions, changes and deletions of the used data sets have been described in detail.</p>
      <p id="d1e9565">We have described the general spatial and temporal trends of the sampled <inline-formula><mml:math id="M607" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">13</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>C<inline-formula><mml:math id="M608" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">POC</mml:mi></mml:msub></mml:math></inline-formula> data of the raw data file. Distributions were always approximated by Gaussian kernel density estimators. The data range from 1964–2015 with by far the best coverage in the 1990s. Sample locations reach down to a depth of nearly 5000 <inline-formula><mml:math id="M609" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:math></inline-formula> and best cover the uppermost 10 <inline-formula><mml:math id="M610" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:math></inline-formula>, especially in the Atlantic and Indian Ocean. We were able to show our <inline-formula><mml:math id="M611" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">13</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>C<inline-formula><mml:math id="M612" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">POC</mml:mi></mml:msub></mml:math></inline-formula> data values are mostly located between <inline-formula><mml:math id="M613" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">13</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>C<inline-formula><mml:math id="M614" display="inline"><mml:mrow><mml:msub><mml:mi/><mml:mi mathvariant="normal">POC</mml:mi></mml:msub><mml:mo>=</mml:mo><mml:mo>-</mml:mo><mml:mn mathvariant="normal">15</mml:mn></mml:mrow></mml:math></inline-formula> ‰ and <inline-formula><mml:math id="M615" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">13</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>C<inline-formula><mml:math id="M616" display="inline"><mml:mrow><mml:msub><mml:mi/><mml:mi mathvariant="normal">POC</mml:mi></mml:msub><mml:mo>=</mml:mo><mml:mo>-</mml:mo><mml:mn mathvariant="normal">35</mml:mn></mml:mrow></mml:math></inline-formula> ‰ with two maxima at around <inline-formula><mml:math id="M617" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">13</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>C<inline-formula><mml:math id="M618" display="inline"><mml:mrow><mml:msub><mml:mi/><mml:mi mathvariant="normal">POC</mml:mi></mml:msub><mml:mo>=</mml:mo><mml:mo>-</mml:mo><mml:mn mathvariant="normal">27</mml:mn></mml:mrow></mml:math></inline-formula> ‰ and <inline-formula><mml:math id="M619" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">13</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>C<inline-formula><mml:math id="M620" display="inline"><mml:mrow><mml:msub><mml:mi/><mml:mi mathvariant="normal">POC</mml:mi></mml:msub><mml:mo>=</mml:mo><mml:mo>-</mml:mo><mml:mn mathvariant="normal">23</mml:mn></mml:mrow></mml:math></inline-formula> ‰,<?pagebreak page4875?> the latter one being more pronounced. A comparison of the main sample methods showed consistent results when compared with regions. <inline-formula><mml:math id="M621" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">13</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>C<inline-formula><mml:math id="M622" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">POC</mml:mi></mml:msub></mml:math></inline-formula> data separated by months indicate counteracting seasonal trends in both hemispheres, but more data are required to demonstrate robust seasonality.</p>
      <?pagebreak page4876?><p id="d1e9754">The interpolated data provide insights into geographical behavior of the sampled <inline-formula><mml:math id="M623" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">13</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>C<inline-formula><mml:math id="M624" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">POC</mml:mi></mml:msub></mml:math></inline-formula> data. We showed a good general coverage of all global oceans by <inline-formula><mml:math id="M625" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">13</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>C<inline-formula><mml:math id="M626" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">POC</mml:mi></mml:msub></mml:math></inline-formula> but observed a lack of data in PANGAEA that cover North Pacific regions. Since the Atlantic Ocean provides the best coverage, corresponding data were used for a north–south trend analysis, where we observed that the lowest values (<inline-formula><mml:math id="M627" display="inline"><mml:mrow><mml:mi mathvariant="italic">⪅</mml:mi><mml:mo>-</mml:mo><mml:mn mathvariant="normal">28</mml:mn></mml:mrow></mml:math></inline-formula> ‰) can be found in the Southern Ocean, whereas the highest (<inline-formula><mml:math id="M628" display="inline"><mml:mrow><mml:mi mathvariant="italic">⪆</mml:mi><mml:mo>-</mml:mo><mml:mn mathvariant="normal">22</mml:mn></mml:mrow></mml:math></inline-formula> ‰) are restricted to low-latitude regions. This might also have influenced the observed lower <inline-formula><mml:math id="M629" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">13</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>C<inline-formula><mml:math id="M630" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">POC</mml:mi></mml:msub></mml:math></inline-formula> values in the Southern Hemisphere compared to the Northern Hemisphere, due to the relatively good coverage of the Southern Ocean. Finally, we showed the sample locations and value development of <inline-formula><mml:math id="M631" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">13</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>C<inline-formula><mml:math id="M632" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">POC</mml:mi></mml:msub></mml:math></inline-formula> over the observed decades. Since the Southern Ocean data were mainly sampled in the 1990s, a significant multi-decadal trend could not be detected there. In all other oceans our <inline-formula><mml:math id="M633" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">13</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>C<inline-formula><mml:math id="M634" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">POC</mml:mi></mml:msub></mml:math></inline-formula> data show a decrease by about 3 ‰ over the observed time frame, which is about double the rate of the known Suess effect <xref ref-type="bibr" rid="bib1.bibx41" id="paren.172"/> on aqueous <inline-formula><mml:math id="M635" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">13</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>CO<inline-formula><mml:math id="M636" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> <xref ref-type="bibr" rid="bib1.bibx81" id="paren.173"/>. This corroborates an increase in phytoplankton carbon fractionation that may be associated with a change in phytoplankton communities as previously suggested <xref ref-type="bibr" rid="bib1.bibx49 bib1.bibx81" id="paren.174"/>. The data set shows promise for better understanding, constraining and prediction of carbon cycling as it provides a validation tool for mechanistic models and supports separation of non-spatial components in <inline-formula><mml:math id="M637" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">13</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>C<inline-formula><mml:math id="M638" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">POC</mml:mi></mml:msub></mml:math></inline-formula> variations.</p>
</sec>

      
      </body>
    <back><app-group>

<app id="App1.Ch1.S1">
  <?xmltex \currentcnt{A}?><label>Appendix A</label><?xmltex \opttitle{Statistical properties of $\delta^{{13}}$C${}_{\mathrm{POC}}$ kernel density estimates}?><title>Statistical properties of <inline-formula><mml:math id="M639" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">13</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>C<inline-formula><mml:math id="M640" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">POC</mml:mi></mml:msub></mml:math></inline-formula> kernel density estimates</title>
      <p id="d1e9965">In Tables <xref ref-type="table" rid="App1.Ch1.S1.T6"/>, <xref ref-type="table" rid="App1.Ch1.S1.T7"/>, <xref ref-type="table" rid="App1.Ch1.S1.T8"/>, <xref ref-type="table" rid="App1.Ch1.S1.T9"/> and <xref ref-type="table" rid="App1.Ch1.S1.T10"/> we present the modes, medians and confidence limits of the KDEs derived in Figs. <xref ref-type="fig" rid="Ch1.F1"/>, <xref ref-type="fig" rid="Ch1.F3"/>, <xref ref-type="fig" rid="Ch1.F7"/>, <xref ref-type="fig" rid="Ch1.F9"/> and <xref ref-type="fig" rid="Ch1.F11"/>, respectively.</p>

<?xmltex \floatpos{h!}?><table-wrap id="App1.Ch1.S1.T6"><?xmltex \currentcnt{A1}?><label>Table A1</label><caption><p id="d1e9992">Statistical properties of the KDE derived for Fig. <xref ref-type="fig" rid="Ch1.F1"/> evaluated on an equidistant grid over <inline-formula><mml:math id="M641" display="inline"><mml:mrow><mml:mo>[</mml:mo><mml:mo>-</mml:mo><mml:mn mathvariant="normal">55.15</mml:mn><mml:mo>,</mml:mo><mml:mo>-</mml:mo><mml:mn mathvariant="normal">4.5</mml:mn><mml:mo>]</mml:mo></mml:mrow></mml:math></inline-formula> with <inline-formula><mml:math id="M642" display="inline"><mml:mn mathvariant="normal">1001</mml:mn></mml:math></inline-formula> grid points: the first column indicates the respective KDE, the following two its modes, the fourth the median and the fifth the 95 % confidence interval of the respective KDE. All values are given in per mill.</p></caption><oasis:table frame="topbot"><?xmltex \begin{scaleboxenv}{.90}[.90]?><oasis:tgroup cols="5">
     <oasis:colspec colnum="1" colname="col1" align="left"/>
     <oasis:colspec colnum="2" colname="col2" align="center"/>
     <oasis:colspec colnum="3" colname="col3" align="center"/>
     <oasis:colspec colnum="4" colname="col4" align="center"/>
     <oasis:colspec colnum="5" colname="col5" align="center"/>
     <oasis:thead>
       <oasis:row>
         <oasis:entry colname="col1"><inline-formula><mml:math id="M643" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">13</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>C<inline-formula><mml:math id="M644" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">POC</mml:mi></mml:msub></mml:math></inline-formula> KDE</oasis:entry>
         <oasis:entry colname="col2">Dominant</oasis:entry>
         <oasis:entry colname="col3">Second</oasis:entry>
         <oasis:entry colname="col4">Median</oasis:entry>
         <oasis:entry colname="col5">95 % confidence</oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2">mode</oasis:entry>
         <oasis:entry colname="col3">mode</oasis:entry>
         <oasis:entry colname="col4"/>
         <oasis:entry colname="col5">interval</oasis:entry>
       </oasis:row>
     </oasis:thead>
     <oasis:tbody>
       <oasis:row>
         <oasis:entry colname="col1">Figure <xref ref-type="fig" rid="Ch1.F1"/></oasis:entry>
         <oasis:entry colname="col2"><inline-formula><mml:math id="M645" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">23.6</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col3"><inline-formula><mml:math id="M646" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">26.9</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col4"><inline-formula><mml:math id="M647" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">23.8</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col5"><inline-formula><mml:math id="M648" display="inline"><mml:mrow><mml:mo>[</mml:mo><mml:mo>-</mml:mo><mml:mn mathvariant="normal">30.9</mml:mn><mml:mo>,</mml:mo><mml:mo>-</mml:mo><mml:mn mathvariant="normal">17.0</mml:mn><mml:mo>]</mml:mo></mml:mrow></mml:math></inline-formula></oasis:entry>
       </oasis:row>
     </oasis:tbody>
   </oasis:tgroup><?xmltex \end{scaleboxenv}?></oasis:table></table-wrap>

<?xmltex \hack{\newpage}?><?xmltex \floatpos{h!}?><table-wrap id="App1.Ch1.S1.T7"><?xmltex \currentcnt{A2}?><label>Table A2</label><caption><p id="d1e10165">Statistical properties of the KDEs derived for Fig. <xref ref-type="fig" rid="Ch1.F3"/> evaluated on an equidistant grid over <inline-formula><mml:math id="M649" display="inline"><mml:mrow><mml:mo>[</mml:mo><mml:mo>-</mml:mo><mml:mn mathvariant="normal">35</mml:mn><mml:mo>,</mml:mo><mml:mo>-</mml:mo><mml:mn mathvariant="normal">15</mml:mn><mml:mo>]</mml:mo></mml:mrow></mml:math></inline-formula> with <inline-formula><mml:math id="M650" display="inline"><mml:mn mathvariant="normal">1001</mml:mn></mml:math></inline-formula> grid points: the first column indicates the respective KDE, the following two its modes, the fourth the median and the fifth the 95 % confidence interval of the respective KDE. All values are given in per mill.</p></caption><oasis:table frame="topbot"><?xmltex \begin{scaleboxenv}{.89}[.89]?><oasis:tgroup cols="5">
     <oasis:colspec colnum="1" colname="col1" align="left"/>
     <oasis:colspec colnum="2" colname="col2" align="center"/>
     <oasis:colspec colnum="3" colname="col3" align="center"/>
     <oasis:colspec colnum="4" colname="col4" align="center"/>
     <oasis:colspec colnum="5" colname="col5" align="center"/>
     <oasis:thead>
       <oasis:row>
         <oasis:entry colname="col1"><inline-formula><mml:math id="M651" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">13</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>C<inline-formula><mml:math id="M652" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">POC</mml:mi></mml:msub></mml:math></inline-formula> KDE</oasis:entry>
         <oasis:entry colname="col2">Dominant</oasis:entry>
         <oasis:entry colname="col3">Second</oasis:entry>
         <oasis:entry colname="col4">Median</oasis:entry>
         <oasis:entry colname="col5">95 % confidence</oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2">mode</oasis:entry>
         <oasis:entry colname="col3">mode</oasis:entry>
         <oasis:entry colname="col4"/>
         <oasis:entry colname="col5">interval</oasis:entry>
       </oasis:row>
     </oasis:thead>
     <oasis:tbody>
       <oasis:row>
         <oasis:entry colname="col1">Figure <xref ref-type="fig" rid="Ch1.F3"/>a, full</oasis:entry>
         <oasis:entry colname="col2"><inline-formula><mml:math id="M653" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">21.8</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col3"><inline-formula><mml:math id="M654" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">24.3</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col4"><inline-formula><mml:math id="M655" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">24.3</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col5"><inline-formula><mml:math id="M656" display="inline"><mml:mrow><mml:mo>[</mml:mo><mml:mo>-</mml:mo><mml:mn mathvariant="normal">26.8</mml:mn><mml:mo>,</mml:mo><mml:mo>-</mml:mo><mml:mn mathvariant="normal">18.3</mml:mn><mml:mo>]</mml:mo></mml:mrow></mml:math></inline-formula></oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Figure <xref ref-type="fig" rid="Ch1.F3"/>a, bottle</oasis:entry>
         <oasis:entry colname="col2"><inline-formula><mml:math id="M657" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">25.1</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col3">–</oasis:entry>
         <oasis:entry colname="col4"><inline-formula><mml:math id="M658" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">24.8</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col5"><inline-formula><mml:math id="M659" display="inline"><mml:mrow><mml:mo>[</mml:mo><mml:mo>-</mml:mo><mml:mn mathvariant="normal">26.9</mml:mn><mml:mo>,</mml:mo><mml:mo>-</mml:mo><mml:mn mathvariant="normal">22.0</mml:mn><mml:mo>]</mml:mo></mml:mrow></mml:math></inline-formula></oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Figure <xref ref-type="fig" rid="Ch1.F3"/>a, intake</oasis:entry>
         <oasis:entry colname="col2"><inline-formula><mml:math id="M660" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">21.6</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col3">–</oasis:entry>
         <oasis:entry colname="col4"><inline-formula><mml:math id="M661" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">20.7</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col5"><inline-formula><mml:math id="M662" display="inline"><mml:mrow><mml:mo>[</mml:mo><mml:mo>-</mml:mo><mml:mn mathvariant="normal">24.0</mml:mn><mml:mo>,</mml:mo><mml:mo>-</mml:mo><mml:mn mathvariant="normal">17.4</mml:mn><mml:mo>]</mml:mo></mml:mrow></mml:math></inline-formula></oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Figure <xref ref-type="fig" rid="Ch1.F3"/>a, net</oasis:entry>
         <oasis:entry colname="col2"><inline-formula><mml:math id="M663" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">21.6</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col3"><inline-formula><mml:math id="M664" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">27.4</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col4"><inline-formula><mml:math id="M665" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">21.7</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col5"><inline-formula><mml:math id="M666" display="inline"><mml:mrow><mml:mo>[</mml:mo><mml:mo>-</mml:mo><mml:mn mathvariant="normal">26.4</mml:mn><mml:mo>,</mml:mo><mml:mo>-</mml:mo><mml:mn mathvariant="normal">19.5</mml:mn><mml:mo>]</mml:mo></mml:mrow></mml:math></inline-formula></oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Figure <xref ref-type="fig" rid="Ch1.F3"/>a, trap</oasis:entry>
         <oasis:entry colname="col2"><inline-formula><mml:math id="M667" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">24.3</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col3"><inline-formula><mml:math id="M668" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">21.6</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col4"><inline-formula><mml:math id="M669" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">24.1</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col5"><inline-formula><mml:math id="M670" display="inline"><mml:mrow><mml:mo>[</mml:mo><mml:mo>-</mml:mo><mml:mn mathvariant="normal">27.2</mml:mn><mml:mo>,</mml:mo><mml:mo>-</mml:mo><mml:mn mathvariant="normal">20.0</mml:mn><mml:mo>]</mml:mo></mml:mrow></mml:math></inline-formula></oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Figure <xref ref-type="fig" rid="Ch1.F3"/>b, full</oasis:entry>
         <oasis:entry colname="col2"><inline-formula><mml:math id="M671" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">21.6</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col3">–</oasis:entry>
         <oasis:entry colname="col4"><inline-formula><mml:math id="M672" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">21.3</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col5"><inline-formula><mml:math id="M673" display="inline"><mml:mrow><mml:mo>[</mml:mo><mml:mo>-</mml:mo><mml:mn mathvariant="normal">24.2</mml:mn><mml:mo>,</mml:mo><mml:mo>-</mml:mo><mml:mn mathvariant="normal">18.0</mml:mn><mml:mo>]</mml:mo></mml:mrow></mml:math></inline-formula></oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Figure <xref ref-type="fig" rid="Ch1.F3"/>b, intake</oasis:entry>
         <oasis:entry colname="col2"><inline-formula><mml:math id="M674" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">19.5</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col3"><inline-formula><mml:math id="M675" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">21.1</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col4"><inline-formula><mml:math id="M676" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">20.3</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col5"><inline-formula><mml:math id="M677" display="inline"><mml:mrow><mml:mo>[</mml:mo><mml:mo>-</mml:mo><mml:mn mathvariant="normal">24.8</mml:mn><mml:mo>,</mml:mo><mml:mo>-</mml:mo><mml:mn mathvariant="normal">17.2</mml:mn><mml:mo>]</mml:mo></mml:mrow></mml:math></inline-formula></oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Figure <xref ref-type="fig" rid="Ch1.F3"/>b, net</oasis:entry>
         <oasis:entry colname="col2"><inline-formula><mml:math id="M678" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">21.5</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col3">–</oasis:entry>
         <oasis:entry colname="col4"><inline-formula><mml:math id="M679" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">21.6</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col5"><inline-formula><mml:math id="M680" display="inline"><mml:mrow><mml:mo>[</mml:mo><mml:mo>-</mml:mo><mml:mn mathvariant="normal">23.9</mml:mn><mml:mo>,</mml:mo><mml:mo>-</mml:mo><mml:mn mathvariant="normal">19.4</mml:mn><mml:mo>]</mml:mo></mml:mrow></mml:math></inline-formula></oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Figure <xref ref-type="fig" rid="Ch1.F3"/>c, full</oasis:entry>
         <oasis:entry colname="col2"><inline-formula><mml:math id="M681" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">21.6</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col3">–</oasis:entry>
         <oasis:entry colname="col4"><inline-formula><mml:math id="M682" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">21.6</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col5"><inline-formula><mml:math id="M683" display="inline"><mml:mrow><mml:mo>[</mml:mo><mml:mo>-</mml:mo><mml:mn mathvariant="normal">26.4</mml:mn><mml:mo>,</mml:mo><mml:mo>-</mml:mo><mml:mn mathvariant="normal">17.6</mml:mn><mml:mo>]</mml:mo></mml:mrow></mml:math></inline-formula></oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Figure <xref ref-type="fig" rid="Ch1.F3"/>c, bottle</oasis:entry>
         <oasis:entry colname="col2"><inline-formula><mml:math id="M684" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">24.7</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col3">–</oasis:entry>
         <oasis:entry colname="col4"><inline-formula><mml:math id="M685" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">24.9</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col5"><inline-formula><mml:math id="M686" display="inline"><mml:mrow><mml:mo>[</mml:mo><mml:mo>-</mml:mo><mml:mn mathvariant="normal">29.8</mml:mn><mml:mo>,</mml:mo><mml:mo>-</mml:mo><mml:mn mathvariant="normal">21.1</mml:mn><mml:mo>]</mml:mo></mml:mrow></mml:math></inline-formula></oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Figure <xref ref-type="fig" rid="Ch1.F3"/>c, net</oasis:entry>
         <oasis:entry colname="col2"><inline-formula><mml:math id="M687" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">21.6</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col3">–</oasis:entry>
         <oasis:entry colname="col4"><inline-formula><mml:math id="M688" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">21.6</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col5"><inline-formula><mml:math id="M689" display="inline"><mml:mrow><mml:mo>[</mml:mo><mml:mo>-</mml:mo><mml:mn mathvariant="normal">24.0</mml:mn><mml:mo>,</mml:mo><mml:mo>-</mml:mo><mml:mn mathvariant="normal">19.5</mml:mn><mml:mo>]</mml:mo></mml:mrow></mml:math></inline-formula></oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Figure <xref ref-type="fig" rid="Ch1.F3"/>c, trap</oasis:entry>
         <oasis:entry colname="col2"><inline-formula><mml:math id="M690" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">21.8</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col3"><inline-formula><mml:math id="M691" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">18.8</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col4"><inline-formula><mml:math id="M692" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">21.7</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col5"><inline-formula><mml:math id="M693" display="inline"><mml:mrow><mml:mo>[</mml:mo><mml:mo>-</mml:mo><mml:mn mathvariant="normal">22.8</mml:mn><mml:mo>,</mml:mo><mml:mo>-</mml:mo><mml:mn mathvariant="normal">18.5</mml:mn><mml:mo>]</mml:mo></mml:mrow></mml:math></inline-formula></oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Figure <xref ref-type="fig" rid="Ch1.F3"/>d, full</oasis:entry>
         <oasis:entry colname="col2"><inline-formula><mml:math id="M694" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">24.9</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col3">–</oasis:entry>
         <oasis:entry colname="col4"><inline-formula><mml:math id="M695" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">24.6</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col5"><inline-formula><mml:math id="M696" display="inline"><mml:mrow><mml:mo>[</mml:mo><mml:mo>-</mml:mo><mml:mn mathvariant="normal">27.1</mml:mn><mml:mo>,</mml:mo><mml:mo>-</mml:mo><mml:mn mathvariant="normal">21.9</mml:mn><mml:mo>]</mml:mo></mml:mrow></mml:math></inline-formula></oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Figure <xref ref-type="fig" rid="Ch1.F3"/>d, bottle</oasis:entry>
         <oasis:entry colname="col2"><inline-formula><mml:math id="M697" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">25.2</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col3">–</oasis:entry>
         <oasis:entry colname="col4"><inline-formula><mml:math id="M698" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">24.8</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col5"><inline-formula><mml:math id="M699" display="inline"><mml:mrow><mml:mo>[</mml:mo><mml:mo>-</mml:mo><mml:mn mathvariant="normal">26.5</mml:mn><mml:mo>,</mml:mo><mml:mo>-</mml:mo><mml:mn mathvariant="normal">22.1</mml:mn><mml:mo>]</mml:mo></mml:mrow></mml:math></inline-formula></oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Figure <xref ref-type="fig" rid="Ch1.F3"/>d, net</oasis:entry>
         <oasis:entry colname="col2"><inline-formula><mml:math id="M700" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">22.8</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col3"><inline-formula><mml:math id="M701" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">26.9</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col4"><inline-formula><mml:math id="M702" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">24.2</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col5"><inline-formula><mml:math id="M703" display="inline"><mml:mrow><mml:mo>[</mml:mo><mml:mo>-</mml:mo><mml:mn mathvariant="normal">29.4</mml:mn><mml:mo>,</mml:mo><mml:mo>-</mml:mo><mml:mn mathvariant="normal">19.7</mml:mn><mml:mo>]</mml:mo></mml:mrow></mml:math></inline-formula></oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Figure <xref ref-type="fig" rid="Ch1.F3"/>d, trap</oasis:entry>
         <oasis:entry colname="col2"><inline-formula><mml:math id="M704" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">24.3</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col3"><inline-formula><mml:math id="M705" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">26.6</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col4"><inline-formula><mml:math id="M706" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">24.5</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col5"><inline-formula><mml:math id="M707" display="inline"><mml:mrow><mml:mo>[</mml:mo><mml:mo>-</mml:mo><mml:mn mathvariant="normal">27.2</mml:mn><mml:mo>,</mml:mo><mml:mo>-</mml:mo><mml:mn mathvariant="normal">22.9</mml:mn><mml:mo>]</mml:mo></mml:mrow></mml:math></inline-formula></oasis:entry>
       </oasis:row>
     </oasis:tbody>
   </oasis:tgroup><?xmltex \end{scaleboxenv}?></oasis:table></table-wrap>

<?xmltex \floatpos{h!}?><table-wrap id="App1.Ch1.S1.T8"><?xmltex \currentcnt{A3}?><label>Table A3</label><caption><p id="d1e11197">Statistical properties of the KDEs derived for Fig. <xref ref-type="fig" rid="Ch1.F7"/> evaluated on an equidistant grid over <inline-formula><mml:math id="M708" display="inline"><mml:mrow><mml:mo>[</mml:mo><mml:mo>-</mml:mo><mml:mn mathvariant="normal">35</mml:mn><mml:mo>,</mml:mo><mml:mo>-</mml:mo><mml:mn mathvariant="normal">15</mml:mn><mml:mo>]</mml:mo></mml:mrow></mml:math></inline-formula> with <inline-formula><mml:math id="M709" display="inline"><mml:mn mathvariant="normal">1001</mml:mn></mml:math></inline-formula> grid points: the first column indicates the respective KDE, the following two its modes, the fourth the median and the fifth the 95 % confidence interval of the respective KDE. All values are given in per mill.</p></caption><oasis:table frame="topbot"><?xmltex \begin{scaleboxenv}{.86}[.86]?><oasis:tgroup cols="5">
     <oasis:colspec colnum="1" colname="col1" align="left"/>
     <oasis:colspec colnum="2" colname="col2" align="center"/>
     <oasis:colspec colnum="3" colname="col3" align="center"/>
     <oasis:colspec colnum="4" colname="col4" align="center"/>
     <oasis:colspec colnum="5" colname="col5" align="center"/>
     <oasis:thead>
       <oasis:row>
         <oasis:entry colname="col1"><inline-formula><mml:math id="M710" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">13</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>C<inline-formula><mml:math id="M711" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">POC</mml:mi></mml:msub></mml:math></inline-formula> KDE</oasis:entry>
         <oasis:entry colname="col2">Dominant</oasis:entry>
         <oasis:entry colname="col3">Second</oasis:entry>
         <oasis:entry colname="col4">Median</oasis:entry>
         <oasis:entry colname="col5">95 % confidence</oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2">mode</oasis:entry>
         <oasis:entry colname="col3">mode</oasis:entry>
         <oasis:entry colname="col4"/>
         <oasis:entry colname="col5">interval</oasis:entry>
       </oasis:row>
     </oasis:thead>
     <oasis:tbody>
       <oasis:row>
         <oasis:entry colname="col1">Figure <xref ref-type="fig" rid="Ch1.F7"/>a, all</oasis:entry>
         <oasis:entry colname="col2"><inline-formula><mml:math id="M712" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">21.8</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col3">–</oasis:entry>
         <oasis:entry colname="col4"><inline-formula><mml:math id="M713" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">22.8</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col5"><inline-formula><mml:math id="M714" display="inline"><mml:mrow><mml:mo>[</mml:mo><mml:mo>-</mml:mo><mml:mn mathvariant="normal">29.9</mml:mn><mml:mo>,</mml:mo><mml:mo>-</mml:mo><mml:mn mathvariant="normal">18.1</mml:mn><mml:mo>]</mml:mo></mml:mrow></mml:math></inline-formula></oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Figure <xref ref-type="fig" rid="Ch1.F7"/>a, biome 9</oasis:entry>
         <oasis:entry colname="col2"><inline-formula><mml:math id="M715" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">24.0</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col3">–</oasis:entry>
         <oasis:entry colname="col4"><inline-formula><mml:math id="M716" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">23.8</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col5"><inline-formula><mml:math id="M717" display="inline"><mml:mrow><mml:mo>[</mml:mo><mml:mo>-</mml:mo><mml:mn mathvariant="normal">27.5</mml:mn><mml:mo>,</mml:mo><mml:mo>-</mml:mo><mml:mn mathvariant="normal">18.5</mml:mn><mml:mo>]</mml:mo></mml:mrow></mml:math></inline-formula></oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Figure <xref ref-type="fig" rid="Ch1.F7"/>a, biome 10</oasis:entry>
         <oasis:entry colname="col2"><inline-formula><mml:math id="M718" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">21.7</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col3">–</oasis:entry>
         <oasis:entry colname="col4"><inline-formula><mml:math id="M719" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">21.5</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col5"><inline-formula><mml:math id="M720" display="inline"><mml:mrow><mml:mo>[</mml:mo><mml:mo>-</mml:mo><mml:mn mathvariant="normal">25.0</mml:mn><mml:mo>,</mml:mo><mml:mo>-</mml:mo><mml:mn mathvariant="normal">17.9</mml:mn><mml:mo>]</mml:mo></mml:mrow></mml:math></inline-formula></oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Figure <xref ref-type="fig" rid="Ch1.F7"/>a, biome 11</oasis:entry>
         <oasis:entry colname="col2"><inline-formula><mml:math id="M721" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">21.6</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col3"><inline-formula><mml:math id="M722" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">21.1</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col4"><inline-formula><mml:math id="M723" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">21.3</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col5"><inline-formula><mml:math id="M724" display="inline"><mml:mrow><mml:mo>[</mml:mo><mml:mo>-</mml:mo><mml:mn mathvariant="normal">24.4</mml:mn><mml:mo>,</mml:mo><mml:mo>-</mml:mo><mml:mn mathvariant="normal">17.7</mml:mn><mml:mo>]</mml:mo></mml:mrow></mml:math></inline-formula></oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Figure <xref ref-type="fig" rid="Ch1.F7"/>a, biome 12</oasis:entry>
         <oasis:entry colname="col2"><inline-formula><mml:math id="M725" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">21.7</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col3">–</oasis:entry>
         <oasis:entry colname="col4"><inline-formula><mml:math id="M726" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">21.9</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col5"><inline-formula><mml:math id="M727" display="inline"><mml:mrow><mml:mo>[</mml:mo><mml:mo>-</mml:mo><mml:mn mathvariant="normal">23.2</mml:mn><mml:mo>,</mml:mo><mml:mo>-</mml:mo><mml:mn mathvariant="normal">20.8</mml:mn><mml:mo>]</mml:mo></mml:mrow></mml:math></inline-formula></oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Figure <xref ref-type="fig" rid="Ch1.F7"/>a, biome 13</oasis:entry>
         <oasis:entry colname="col2"><inline-formula><mml:math id="M728" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">21.9</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col3"><inline-formula><mml:math id="M729" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">24.9</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col4"><inline-formula><mml:math id="M730" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">22.0</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col5"><inline-formula><mml:math id="M731" display="inline"><mml:mrow><mml:mo>[</mml:mo><mml:mo>-</mml:mo><mml:mn mathvariant="normal">24.4</mml:mn><mml:mo>,</mml:mo><mml:mo>-</mml:mo><mml:mn mathvariant="normal">20.4</mml:mn><mml:mo>]</mml:mo></mml:mrow></mml:math></inline-formula></oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Figure <xref ref-type="fig" rid="Ch1.F7"/>a, biome 15</oasis:entry>
         <oasis:entry colname="col2"><inline-formula><mml:math id="M732" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">22.7</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col3">–</oasis:entry>
         <oasis:entry colname="col4"><inline-formula><mml:math id="M733" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">22.8</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col5"><inline-formula><mml:math id="M734" display="inline"><mml:mrow><mml:mo>[</mml:mo><mml:mo>-</mml:mo><mml:mn mathvariant="normal">26.5</mml:mn><mml:mo>,</mml:mo><mml:mo>-</mml:mo><mml:mn mathvariant="normal">19.2</mml:mn><mml:mo>]</mml:mo></mml:mrow></mml:math></inline-formula></oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Figure <xref ref-type="fig" rid="Ch1.F7"/>a, biome 16</oasis:entry>
         <oasis:entry colname="col2"><inline-formula><mml:math id="M735" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">28.7</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col3"><inline-formula><mml:math id="M736" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">26.0</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col4"><inline-formula><mml:math id="M737" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">27.7</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col5"><inline-formula><mml:math id="M738" display="inline"><mml:mrow><mml:mo>[</mml:mo><mml:mo>-</mml:mo><mml:mn mathvariant="normal">30.7</mml:mn><mml:mo>,</mml:mo><mml:mo>-</mml:mo><mml:mn mathvariant="normal">24.1</mml:mn><mml:mo>]</mml:mo></mml:mrow></mml:math></inline-formula></oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Figure <xref ref-type="fig" rid="Ch1.F7"/>a, biome 17</oasis:entry>
         <oasis:entry colname="col2"><inline-formula><mml:math id="M739" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">27.8</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col3">–</oasis:entry>
         <oasis:entry colname="col4"><inline-formula><mml:math id="M740" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">28.5</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col5"><inline-formula><mml:math id="M741" display="inline"><mml:mrow><mml:mo>[</mml:mo><mml:mo>-</mml:mo><mml:mn mathvariant="normal">32.7</mml:mn><mml:mo>,</mml:mo><mml:mo>-</mml:mo><mml:mn mathvariant="normal">24.9</mml:mn><mml:mo>]</mml:mo></mml:mrow></mml:math></inline-formula></oasis:entry>
       </oasis:row>
     </oasis:tbody>
   </oasis:tgroup><?xmltex \end{scaleboxenv}?></oasis:table></table-wrap>

<?xmltex \hack{\clearpage}?><?xmltex \floatpos{t}?><table-wrap id="App1.Ch1.S1.T9"><?xmltex \currentcnt{A4}?><label>Table A4</label><caption><p id="d1e11819">Statistical properties of the KDEs derived for Fig. <xref ref-type="fig" rid="Ch1.F9"/> evaluated on an equidistant grid over <inline-formula><mml:math id="M742" display="inline"><mml:mrow><mml:mo>[</mml:mo><mml:mo>-</mml:mo><mml:mn mathvariant="normal">35</mml:mn><mml:mo>,</mml:mo><mml:mo>-</mml:mo><mml:mn mathvariant="normal">15</mml:mn><mml:mo>]</mml:mo></mml:mrow></mml:math></inline-formula> with <inline-formula><mml:math id="M743" display="inline"><mml:mn mathvariant="normal">1001</mml:mn></mml:math></inline-formula> grid points: the first column indicates the respective KDE, the following two its modes, the fourth the median and the fifth the 95 % confidence interval of the respective KDE. All values are given in per mill.</p></caption><oasis:table frame="topbot"><?xmltex \begin{scaleboxenv}{.91}[.91]?><oasis:tgroup cols="5">
     <oasis:colspec colnum="1" colname="col1" align="left"/>
     <oasis:colspec colnum="2" colname="col2" align="center"/>
     <oasis:colspec colnum="3" colname="col3" align="center"/>
     <oasis:colspec colnum="4" colname="col4" align="center"/>
     <oasis:colspec colnum="5" colname="col5" align="center"/>
     <oasis:thead>
       <oasis:row>
         <oasis:entry colname="col1"><inline-formula><mml:math id="M744" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">13</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>C<inline-formula><mml:math id="M745" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">POC</mml:mi></mml:msub></mml:math></inline-formula> KDE</oasis:entry>
         <oasis:entry colname="col2">Dominant</oasis:entry>
         <oasis:entry colname="col3">Second</oasis:entry>
         <oasis:entry colname="col4">Median</oasis:entry>
         <oasis:entry colname="col5">95 % confidence</oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2">mode</oasis:entry>
         <oasis:entry colname="col3">mode</oasis:entry>
         <oasis:entry colname="col4"/>
         <oasis:entry colname="col5">interval</oasis:entry>
       </oasis:row>
     </oasis:thead>
     <oasis:tbody>
       <oasis:row>
         <oasis:entry colname="col1">Figure <xref ref-type="fig" rid="Ch1.F9"/>a, Feb</oasis:entry>
         <oasis:entry colname="col2"><inline-formula><mml:math id="M746" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">24.7</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col3">–</oasis:entry>
         <oasis:entry colname="col4"><inline-formula><mml:math id="M747" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">25.0</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col5"><inline-formula><mml:math id="M748" display="inline"><mml:mrow><mml:mo>[</mml:mo><mml:mo>-</mml:mo><mml:mn mathvariant="normal">29.2</mml:mn><mml:mo>,</mml:mo><mml:mo>-</mml:mo><mml:mn mathvariant="normal">22.3</mml:mn><mml:mo>]</mml:mo></mml:mrow></mml:math></inline-formula></oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Figure <xref ref-type="fig" rid="Ch1.F9"/>a, Mar</oasis:entry>
         <oasis:entry colname="col2"><inline-formula><mml:math id="M749" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">24.3</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col3">–</oasis:entry>
         <oasis:entry colname="col4"><inline-formula><mml:math id="M750" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">24.0</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col5"><inline-formula><mml:math id="M751" display="inline"><mml:mrow><mml:mo>[</mml:mo><mml:mo>-</mml:mo><mml:mn mathvariant="normal">26.6</mml:mn><mml:mo>,</mml:mo><mml:mo>-</mml:mo><mml:mn mathvariant="normal">20.3</mml:mn><mml:mo>]</mml:mo></mml:mrow></mml:math></inline-formula></oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Figure <xref ref-type="fig" rid="Ch1.F9"/>a, Apr</oasis:entry>
         <oasis:entry colname="col2"><inline-formula><mml:math id="M752" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">19.0</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col3">–</oasis:entry>
         <oasis:entry colname="col4"><inline-formula><mml:math id="M753" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">20.4</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col5"><inline-formula><mml:math id="M754" display="inline"><mml:mrow><mml:mo>[</mml:mo><mml:mo>-</mml:mo><mml:mn mathvariant="normal">26.2</mml:mn><mml:mo>,</mml:mo><mml:mo>-</mml:mo><mml:mn mathvariant="normal">16.5</mml:mn><mml:mo>]</mml:mo></mml:mrow></mml:math></inline-formula></oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Figure <xref ref-type="fig" rid="Ch1.F9"/>a, May</oasis:entry>
         <oasis:entry colname="col2"><inline-formula><mml:math id="M755" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">24.1</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col3"><inline-formula><mml:math id="M756" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">27.0</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col4"><inline-formula><mml:math id="M757" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">24.0</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col5"><inline-formula><mml:math id="M758" display="inline"><mml:mrow><mml:mo>[</mml:mo><mml:mo>-</mml:mo><mml:mn mathvariant="normal">28.3</mml:mn><mml:mo>,</mml:mo><mml:mo>-</mml:mo><mml:mn mathvariant="normal">19.0</mml:mn><mml:mo>]</mml:mo></mml:mrow></mml:math></inline-formula></oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Figure <xref ref-type="fig" rid="Ch1.F9"/>a, Jun</oasis:entry>
         <oasis:entry colname="col2"><inline-formula><mml:math id="M759" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">24.0</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col3"><inline-formula><mml:math id="M760" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">27.9</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col4"><inline-formula><mml:math id="M761" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">25.2</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col5"><inline-formula><mml:math id="M762" display="inline"><mml:mrow><mml:mo>[</mml:mo><mml:mo>-</mml:mo><mml:mn mathvariant="normal">30.5</mml:mn><mml:mo>,</mml:mo><mml:mo>-</mml:mo><mml:mn mathvariant="normal">20.1</mml:mn><mml:mo>]</mml:mo></mml:mrow></mml:math></inline-formula></oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Figure <xref ref-type="fig" rid="Ch1.F9"/>a, Aug</oasis:entry>
         <oasis:entry colname="col2"><inline-formula><mml:math id="M763" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">23.9</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col3">–</oasis:entry>
         <oasis:entry colname="col4"><inline-formula><mml:math id="M764" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">23.6</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col5"><inline-formula><mml:math id="M765" display="inline"><mml:mrow><mml:mo>[</mml:mo><mml:mo>-</mml:mo><mml:mn mathvariant="normal">27.7</mml:mn><mml:mo>,</mml:mo><mml:mo>-</mml:mo><mml:mn mathvariant="normal">18.9</mml:mn><mml:mo>]</mml:mo></mml:mrow></mml:math></inline-formula></oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Figure <xref ref-type="fig" rid="Ch1.F9"/>a, Sep</oasis:entry>
         <oasis:entry colname="col2"><inline-formula><mml:math id="M766" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">22.0</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col3"><inline-formula><mml:math id="M767" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">26.0</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col4"><inline-formula><mml:math id="M768" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">23.1</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col5"><inline-formula><mml:math id="M769" display="inline"><mml:mrow><mml:mo>[</mml:mo><mml:mo>-</mml:mo><mml:mn mathvariant="normal">28.9</mml:mn><mml:mo>,</mml:mo><mml:mo>-</mml:mo><mml:mn mathvariant="normal">18.7</mml:mn><mml:mo>]</mml:mo></mml:mrow></mml:math></inline-formula></oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Figure <xref ref-type="fig" rid="Ch1.F9"/>a, Oct</oasis:entry>
         <oasis:entry colname="col2"><inline-formula><mml:math id="M770" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">21.5</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col3">–</oasis:entry>
         <oasis:entry colname="col4"><inline-formula><mml:math id="M771" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">21.5</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col5"><inline-formula><mml:math id="M772" display="inline"><mml:mrow><mml:mo>[</mml:mo><mml:mo>-</mml:mo><mml:mn mathvariant="normal">23.4</mml:mn><mml:mo>,</mml:mo><mml:mo>-</mml:mo><mml:mn mathvariant="normal">19.7</mml:mn><mml:mo>]</mml:mo></mml:mrow></mml:math></inline-formula></oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Figure <xref ref-type="fig" rid="Ch1.F9"/>b, Jan</oasis:entry>
         <oasis:entry colname="col2"><inline-formula><mml:math id="M773" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">27.2</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col3">–</oasis:entry>
         <oasis:entry colname="col4"><inline-formula><mml:math id="M774" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">26.5</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col5"><inline-formula><mml:math id="M775" display="inline"><mml:mrow><mml:mo>[</mml:mo><mml:mo>-</mml:mo><mml:mn mathvariant="normal">28.9</mml:mn><mml:mo>,</mml:mo><mml:mo>-</mml:mo><mml:mn mathvariant="normal">22.1</mml:mn><mml:mo>]</mml:mo></mml:mrow></mml:math></inline-formula></oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Figure <xref ref-type="fig" rid="Ch1.F9"/>b, Feb</oasis:entry>
         <oasis:entry colname="col2"><inline-formula><mml:math id="M776" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">29.9</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col3">–</oasis:entry>
         <oasis:entry colname="col4"><inline-formula><mml:math id="M777" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">26.2</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col5"><inline-formula><mml:math id="M778" display="inline"><mml:mrow><mml:mo>[</mml:mo><mml:mo>-</mml:mo><mml:mn mathvariant="normal">30.3</mml:mn><mml:mo>,</mml:mo><mml:mo>-</mml:mo><mml:mn mathvariant="normal">19.8</mml:mn><mml:mo>]</mml:mo></mml:mrow></mml:math></inline-formula></oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Figure <xref ref-type="fig" rid="Ch1.F9"/>b, Mar</oasis:entry>
         <oasis:entry colname="col2"><inline-formula><mml:math id="M779" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">23.3</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col3"><inline-formula><mml:math id="M780" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">28.5</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col4"><inline-formula><mml:math id="M781" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">23.3</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col5"><inline-formula><mml:math id="M782" display="inline"><mml:mrow><mml:mo>[</mml:mo><mml:mo>-</mml:mo><mml:mn mathvariant="normal">29.0</mml:mn><mml:mo>,</mml:mo><mml:mo>-</mml:mo><mml:mn mathvariant="normal">21.0</mml:mn><mml:mo>]</mml:mo></mml:mrow></mml:math></inline-formula></oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Figure <xref ref-type="fig" rid="Ch1.F9"/>b, Apr</oasis:entry>
         <oasis:entry colname="col2"><inline-formula><mml:math id="M783" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">28.4</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col3"><inline-formula><mml:math id="M784" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">21.6</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col4"><inline-formula><mml:math id="M785" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">28.1</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col5"><inline-formula><mml:math id="M786" display="inline"><mml:mrow><mml:mo>[</mml:mo><mml:mo>-</mml:mo><mml:mn mathvariant="normal">32.6</mml:mn><mml:mo>,</mml:mo><mml:mo>-</mml:mo><mml:mn mathvariant="normal">19.9</mml:mn><mml:mo>]</mml:mo></mml:mrow></mml:math></inline-formula></oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Figure <xref ref-type="fig" rid="Ch1.F9"/>b, Sep</oasis:entry>
         <oasis:entry colname="col2"><inline-formula><mml:math id="M787" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">28.9</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col3"><inline-formula><mml:math id="M788" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">20.4</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col4"><inline-formula><mml:math id="M789" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">28.5</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col5"><inline-formula><mml:math id="M790" display="inline"><mml:mrow><mml:mo>[</mml:mo><mml:mo>-</mml:mo><mml:mn mathvariant="normal">30.8</mml:mn><mml:mo>,</mml:mo><mml:mo>-</mml:mo><mml:mn mathvariant="normal">23.6</mml:mn><mml:mo>]</mml:mo></mml:mrow></mml:math></inline-formula></oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Figure <xref ref-type="fig" rid="Ch1.F9"/>b, Oct</oasis:entry>
         <oasis:entry colname="col2"><inline-formula><mml:math id="M791" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">28.5</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col3"><inline-formula><mml:math id="M792" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">22.3</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col4"><inline-formula><mml:math id="M793" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">27.7</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col5"><inline-formula><mml:math id="M794" display="inline"><mml:mrow><mml:mo>[</mml:mo><mml:mo>-</mml:mo><mml:mn mathvariant="normal">31.7</mml:mn><mml:mo>,</mml:mo><mml:mo>-</mml:mo><mml:mn mathvariant="normal">20.8</mml:mn><mml:mo>]</mml:mo></mml:mrow></mml:math></inline-formula></oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Figure <xref ref-type="fig" rid="Ch1.F9"/>b, Nov</oasis:entry>
         <oasis:entry colname="col2"><inline-formula><mml:math id="M795" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">28.1</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col3">–</oasis:entry>
         <oasis:entry colname="col4"><inline-formula><mml:math id="M796" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">27.7</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col5"><inline-formula><mml:math id="M797" display="inline"><mml:mrow><mml:mo>[</mml:mo><mml:mo>-</mml:mo><mml:mn mathvariant="normal">31.8</mml:mn><mml:mo>,</mml:mo><mml:mo>-</mml:mo><mml:mn mathvariant="normal">20.1</mml:mn><mml:mo>]</mml:mo></mml:mrow></mml:math></inline-formula></oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Figure <xref ref-type="fig" rid="Ch1.F9"/>b, Dec</oasis:entry>
         <oasis:entry colname="col2"><inline-formula><mml:math id="M798" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">26.7</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col3"><inline-formula><mml:math id="M799" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">24.4</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col4"><inline-formula><mml:math id="M800" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">26.0</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col5"><inline-formula><mml:math id="M801" display="inline"><mml:mrow><mml:mo>[</mml:mo><mml:mo>-</mml:mo><mml:mn mathvariant="normal">28.3</mml:mn><mml:mo>,</mml:mo><mml:mo>-</mml:mo><mml:mn mathvariant="normal">23.3</mml:mn><mml:mo>]</mml:mo></mml:mrow></mml:math></inline-formula></oasis:entry>
       </oasis:row>
     </oasis:tbody>
   </oasis:tgroup><?xmltex \end{scaleboxenv}?></oasis:table></table-wrap>

<?xmltex \floatpos{t}?><table-wrap id="App1.Ch1.S1.T10"><?xmltex \currentcnt{A5}?><label>Table A5</label><caption><p id="d1e12859">Statistical properties of the KDEs derived for Fig. <xref ref-type="fig" rid="Ch1.F11"/> evaluated on an equidistant grid over <inline-formula><mml:math id="M802" display="inline"><mml:mrow><mml:mo>[</mml:mo><mml:mo>-</mml:mo><mml:mn mathvariant="normal">35</mml:mn><mml:mo>,</mml:mo><mml:mo>-</mml:mo><mml:mn mathvariant="normal">15</mml:mn><mml:mo>]</mml:mo></mml:mrow></mml:math></inline-formula> with <inline-formula><mml:math id="M803" display="inline"><mml:mn mathvariant="normal">1001</mml:mn></mml:math></inline-formula> grid points: the first column indicates the respective KDE, the following two its modes, the fourth the median and the fifth the 95 % confidence interval of the respective KDE. All values are given in per mill.</p></caption><oasis:table frame="topbot"><?xmltex \begin{scaleboxenv}{.88}[.88]?><oasis:tgroup cols="5">
     <oasis:colspec colnum="1" colname="col1" align="left"/>
     <oasis:colspec colnum="2" colname="col2" align="center"/>
     <oasis:colspec colnum="3" colname="col3" align="center"/>
     <oasis:colspec colnum="4" colname="col4" align="center"/>
     <oasis:colspec colnum="5" colname="col5" align="center"/>
     <oasis:thead>
       <oasis:row>
         <oasis:entry colname="col1"><inline-formula><mml:math id="M804" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">13</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>C<inline-formula><mml:math id="M805" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">POC</mml:mi></mml:msub></mml:math></inline-formula> KDE</oasis:entry>
         <oasis:entry colname="col2">Dominant</oasis:entry>
         <oasis:entry colname="col3">Second</oasis:entry>
         <oasis:entry colname="col4">Median</oasis:entry>
         <oasis:entry colname="col5">95 % confidence</oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2">mode</oasis:entry>
         <oasis:entry colname="col3">mode</oasis:entry>
         <oasis:entry colname="col4"/>
         <oasis:entry colname="col5">interval</oasis:entry>
       </oasis:row>
     </oasis:thead>
     <oasis:tbody>
       <oasis:row>
         <oasis:entry colname="col1">Figure <xref ref-type="fig" rid="Ch1.F11"/>a, 1960s</oasis:entry>
         <oasis:entry colname="col2"><inline-formula><mml:math id="M806" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">20.0</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col3">–</oasis:entry>
         <oasis:entry colname="col4"><inline-formula><mml:math id="M807" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">19.9</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col5"><inline-formula><mml:math id="M808" display="inline"><mml:mrow><mml:mo>[</mml:mo><mml:mo>-</mml:mo><mml:mn mathvariant="normal">26.8</mml:mn><mml:mo>,</mml:mo><mml:mo>-</mml:mo><mml:mn mathvariant="normal">16.5</mml:mn><mml:mo>]</mml:mo></mml:mrow></mml:math></inline-formula></oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Figure <xref ref-type="fig" rid="Ch1.F11"/>a, 1970s</oasis:entry>
         <oasis:entry colname="col2"><inline-formula><mml:math id="M809" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">19.8</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col3">–</oasis:entry>
         <oasis:entry colname="col4"><inline-formula><mml:math id="M810" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">20.4</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col5"><inline-formula><mml:math id="M811" display="inline"><mml:mrow><mml:mo>[</mml:mo><mml:mo>-</mml:mo><mml:mn mathvariant="normal">25.0</mml:mn><mml:mo>,</mml:mo><mml:mo>-</mml:mo><mml:mn mathvariant="normal">18.0</mml:mn><mml:mo>]</mml:mo></mml:mrow></mml:math></inline-formula></oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Figure <xref ref-type="fig" rid="Ch1.F11"/>a, 1980s</oasis:entry>
         <oasis:entry colname="col2"><inline-formula><mml:math id="M812" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">21.7</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col3"><inline-formula><mml:math id="M813" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">25.3</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col4"><inline-formula><mml:math id="M814" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">22.1</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col5"><inline-formula><mml:math id="M815" display="inline"><mml:mrow><mml:mo>[</mml:mo><mml:mo>-</mml:mo><mml:mn mathvariant="normal">26.9</mml:mn><mml:mo>,</mml:mo><mml:mo>-</mml:mo><mml:mn mathvariant="normal">18.5</mml:mn><mml:mo>]</mml:mo></mml:mrow></mml:math></inline-formula></oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Figure <xref ref-type="fig" rid="Ch1.F11"/>a, 1990s</oasis:entry>
         <oasis:entry colname="col2"><inline-formula><mml:math id="M816" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">21.8</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col3"><inline-formula><mml:math id="M817" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">27.3</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col4"><inline-formula><mml:math id="M818" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">22.1</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col5"><inline-formula><mml:math id="M819" display="inline"><mml:mrow><mml:mo>[</mml:mo><mml:mo>-</mml:mo><mml:mn mathvariant="normal">27.6</mml:mn><mml:mo>,</mml:mo><mml:mo>-</mml:mo><mml:mn mathvariant="normal">18.2</mml:mn><mml:mo>]</mml:mo></mml:mrow></mml:math></inline-formula></oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Figure <xref ref-type="fig" rid="Ch1.F11"/>a, 2000s</oasis:entry>
         <oasis:entry colname="col2"><inline-formula><mml:math id="M820" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">22.4</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col3">–</oasis:entry>
         <oasis:entry colname="col4"><inline-formula><mml:math id="M821" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">23.2</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col5"><inline-formula><mml:math id="M822" display="inline"><mml:mrow><mml:mo>[</mml:mo><mml:mo>-</mml:mo><mml:mn mathvariant="normal">30.4</mml:mn><mml:mo>,</mml:mo><mml:mo>-</mml:mo><mml:mn mathvariant="normal">19.2</mml:mn><mml:mo>]</mml:mo></mml:mrow></mml:math></inline-formula></oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Figure <xref ref-type="fig" rid="Ch1.F11"/>a, 2010s</oasis:entry>
         <oasis:entry colname="col2"><inline-formula><mml:math id="M823" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">23.1</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col3">–</oasis:entry>
         <oasis:entry colname="col4"><inline-formula><mml:math id="M824" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">23.3</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col5"><inline-formula><mml:math id="M825" display="inline"><mml:mrow><mml:mo>[</mml:mo><mml:mo>-</mml:mo><mml:mn mathvariant="normal">27.4</mml:mn><mml:mo>,</mml:mo><mml:mo>-</mml:mo><mml:mn mathvariant="normal">17.6</mml:mn><mml:mo>]</mml:mo></mml:mrow></mml:math></inline-formula></oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Figure <xref ref-type="fig" rid="Ch1.F11"/>b, 1960s</oasis:entry>
         <oasis:entry colname="col2"><inline-formula><mml:math id="M826" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">27.5</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col3"><inline-formula><mml:math id="M827" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">30.3</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col4"><inline-formula><mml:math id="M828" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">27.7</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col5"><inline-formula><mml:math id="M829" display="inline"><mml:mrow><mml:mo>[</mml:mo><mml:mo>-</mml:mo><mml:mn mathvariant="normal">31.4</mml:mn><mml:mo>,</mml:mo><mml:mo>-</mml:mo><mml:mn mathvariant="normal">25.2</mml:mn><mml:mo>]</mml:mo></mml:mrow></mml:math></inline-formula></oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Figure <xref ref-type="fig" rid="Ch1.F11"/>b, 1980s</oasis:entry>
         <oasis:entry colname="col2"><inline-formula><mml:math id="M830" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">31.0</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col3">–</oasis:entry>
         <oasis:entry colname="col4"><inline-formula><mml:math id="M831" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">29.8</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col5"><inline-formula><mml:math id="M832" display="inline"><mml:mrow><mml:mo>[</mml:mo><mml:mo>-</mml:mo><mml:mn mathvariant="normal">34.3</mml:mn><mml:mo>,</mml:mo><mml:mo>-</mml:mo><mml:mn mathvariant="normal">15.0</mml:mn><mml:mo>]</mml:mo></mml:mrow></mml:math></inline-formula></oasis:entry>
       </oasis:row>
     </oasis:tbody>
   </oasis:tgroup><?xmltex \end{scaleboxenv}?></oasis:table></table-wrap>

</app>
  </app-group><notes notes-type="authorcontribution"><title>Author contributions</title>

      <p id="d1e13427">MTV collected and merged the data, performed the analyses, and drafted the manuscript. CJS initiated and supported the data collection, conducted the grid interpolations, guided analyses of the data, and structured and proofread the manuscript. MS supported the data collection, guided data analyses and proofread the manuscript. RET provided additional data and ideas for data analyses and proofread the manuscript. AL provided additional data and proofread the manuscript. AO guided the analysis of the data and proofread the manuscript. TS guided the elaboration of the manuscript, and structured and proofread it.</p>
  </notes><notes notes-type="competinginterests"><title>Competing interests</title>

      <p id="d1e13433">The contact author has declared that neither they nor their co-authors have any competing interests.</p>
  </notes><notes notes-type="disclaimer"><title>Disclaimer</title>

      <p id="d1e13440">Publisher’s note: Copernicus Publications remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.</p>
  </notes><ack><title>Acknowledgements</title><p id="d1e13446">We would like to thank Tronje Kemena for providing the basic global biomes masks, used for analyzing the interpolated data sets on the coarse grid.</p><p id="d1e13448">We thank the referees and editor for their constructive feedback regarding the initial version of the manuscript.</p></ack><notes notes-type="financialsupport"><title>Financial support</title>

      <p id="d1e13453">This research has been supported by the Helmholtz School for Marine Data Science (MarDATA) (grant no. HIDSS-0005) and by the Deutsche Forschungsgemeinschaft (DFG) (project no. 445549720).</p>
  </notes><notes notes-type="reviewstatement"><title>Review statement</title>

      <p id="d1e13459">This paper was edited by Attila Demény and reviewed by Anne Morée and one anonymous referee.</p>
  </notes><ref-list>
    <title>References</title>

      <ref id="bib1.bibx1"><?xmltex \def\ref@label{{AESOPS(2020)}}?><label>AESOPS(2020)</label><?label AESOPS?><mixed-citation>AESOPS: U.S. JGOFS Antarctic Environment and Southern Ocean Process Study, available at: <uri>http://usjgofs.whoi.edu/southern.html</uri>, last access: 3 December 2020.</mixed-citation></ref>
      <ref id="bib1.bibx2"><?xmltex \def\ref@label{{Alfred-Wegener-Institut(2020)}}?><label>Alfred-Wegener-Institut(2020)</label><?label Pangaea?><mixed-citation>Alfred-Wegener-Institut: PANGAEA Data Publisher for Earth &amp; Environmental
Science, available at: <uri>https://www.pangaea.de</uri>, last access: 3 December 2020.</mixed-citation></ref>
      <ref id="bib1.bibx3"><?xmltex \def\ref@label{{{Altabet} and {Francois}(2003a)}}?><label>Altabet and Francois(2003a)</label><?label AtlabetNBP96-05?><mixed-citation>Altabet, M. A. and Francois, R.: Natural nitrogen and carbon stable
isotopic composition in surface water at cruise NBP96-05, PANGAEA [data set], <ext-link xlink:href="https://doi.org/10.1594/PANGAEA.128266" ext-link-type="DOI">10.1594/PANGAEA.128266</ext-link>, 2003a.</mixed-citation></ref>
      <ref id="bib1.bibx4"><?xmltex \def\ref@label{{{Altabet} and {Francois}(2003b)}}?><label>Altabet and Francois(2003b)</label><?label AtlabetNBP96-05-06-4?><mixed-citation>Altabet, M. A. and Francois, R.: Natural nitrogen and carbon stable
isotopic composition of station NBP96-05-06-4, PANGAEA [data set], <ext-link xlink:href="https://doi.org/10.1594/PANGAEA.128229" ext-link-type="DOI">10.1594/PANGAEA.128229</ext-link>, 2003b.</mixed-citation></ref>
      <ref id="bib1.bibx5"><?xmltex \def\ref@label{{Banse(1990)}}?><label>Banse(1990)</label><?label Banse?><mixed-citation>Banse, K.: New views on the degradation and disposition of organic particles as collected by sediment traps in the open sea, Deep-Sea Res., 37, 1177–1195, <ext-link xlink:href="https://doi.org/10.1016/0198-0149(90)90058-4" ext-link-type="DOI">10.1016/0198-0149(90)90058-4</ext-link>, 1990.</mixed-citation></ref>
      <ref id="bib1.bibx6"><?xmltex \def\ref@label{{Bidigare et~al.(1997)}}?><label>Bidigare et al.(1997)</label><?label Bidigare1997?><mixed-citation>Bidigare, R. R., Fluegge, A., Freeman, K. H., Hanson, K. L., Hayes, J. M.,
Hollander, D., Jasper, J. P., King, L. L., Laws, E. A., Milder, J., Millero,
F. J., Pancost, R., Popp, B. N., Steinberg, P. A., and Wakeham, S. G.:
Consistent fractionation of<inline-formula><mml:math id="M833" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">13</mml:mn></mml:msup></mml:math></inline-formula>C in nature and in the laboratory: Growth-rate
effects in some haptophyte algae, Global Biogeochem. Cy., 11, 279–292, <ext-link xlink:href="https://doi.org/10.1029/96gb03939" ext-link-type="DOI">10.1029/96gb03939</ext-link>, 1997.</mixed-citation></ref>
      <ref id="bib1.bibx7"><?xmltex \def\ref@label{{Buchanan et~al.(2019)}}?><label>Buchanan et al.(2019)</label><?label Buchanan2019?><mixed-citation>Buchanan, P. J., Matear, R. J., Chase, Z., Phipps, S. J., and Bindoff, N. L.: Ocean carbon and nitrogen isotopes in CSIRO Mk3L-COAL version 1.0: a tool for palaeoceanographic research, Geosci. Model Dev., 12, 1491–1523, <ext-link xlink:href="https://doi.org/10.5194/gmd-12-1491-2019" ext-link-type="DOI">10.5194/gmd-12-1491-2019</ext-link>, 2019.</mixed-citation></ref>
      <ref id="bib1.bibx8"><?xmltex \def\ref@label{{Calvert(2002)}}?><label>Calvert(2002)</label><?label Calvert2002P844?><mixed-citation>Calvert, S. E.: Stable isotope data of sediment trap P84-4, PANGAEA [data set], <ext-link xlink:href="https://doi.org/10.1594/PANGAEA.68555" ext-link-type="DOI">10.1594/PANGAEA.68555</ext-link>, 2002.</mixed-citation></ref>
      <?pagebreak page4878?><ref id="bib1.bibx9"><?xmltex \def\ref@label{{Calvert and Soon(2013a)}}?><label>Calvert and Soon(2013a)</label><?label CalvertIOS_96-09?><mixed-citation>Calvert, S. E. and Soon, M.: Carbon and nitrogen data measured on water
samples from the multiple unit large volume filtration system (MULVFS) during John P. Tully cruise IOS_96-09, PANGAEA [data set], <ext-link xlink:href="https://doi.org/10.1594/PANGAEA.808319" ext-link-type="DOI">10.1594/PANGAEA.808319</ext-link>,
2013a.</mixed-citation></ref>
      <ref id="bib1.bibx10"><?xmltex \def\ref@label{{Calvert and Soon(2013b)}}?><label>Calvert and Soon(2013b)</label><?label CalvertIOS_96-18?><mixed-citation>Calvert, S. E. and Soon, M.: Carbon and nitrogen data measured on water
samples from the multiple unit large volume filtration system (MULVFS) during
John P. Tully cruise IOS_96-18, PANGAEA [data set], <ext-link xlink:href="https://doi.org/10.1594/PANGAEA.808320" ext-link-type="DOI">10.1594/PANGAEA.808320</ext-link>,
2013b.</mixed-citation></ref>
      <ref id="bib1.bibx11"><?xmltex \def\ref@label{{Calvert and Soon(2013c)}}?><label>Calvert and Soon(2013c)</label><?label CalvertIOS_97-02?><mixed-citation>Calvert, S. E. and Soon, M.: Carbon and nitrogen data measured on water
samples from the multiple unit large volume filtration system (MULVFS) during
John P. Tully cruise IOS_97-02, PANGAEA [data set], <ext-link xlink:href="https://doi.org/10.1594/PANGAEA.808321" ext-link-type="DOI">10.1594/PANGAEA.808321</ext-link>,
2013c.</mixed-citation></ref>
      <ref id="bib1.bibx12"><?xmltex \def\ref@label{{Cassar et~al.(2006)Cassar, Laws, and Popp}}?><label>Cassar et al.(2006)Cassar, Laws, and Popp</label><?label Cassar2006?><mixed-citation>Cassar, N., Laws, E. A., and Popp, B. N.: Carbon isotopic fractionation by the
marine diatom Phaeodactylum tricornutum under nutrient- and light-limited
growth conditions, Geochim. Cosmochim. Ac., 70, 5323–5335,
<ext-link xlink:href="https://doi.org/10.1016/j.gca.2006.08.024" ext-link-type="DOI">10.1016/j.gca.2006.08.024</ext-link>, 2006.</mixed-citation></ref>
      <ref id="bib1.bibx13"><?xmltex \def\ref@label{{Chang et~al.(2013)}}?><label>Chang et al.(2013)</label><?label Chang?><mixed-citation>Chang, A. S., Bertram, M. A., Ivanochko, T. S., Calvert, S. E.,
Dallimore, A., and Thomson, R. E.: (Supplement 2) Total mass flux,
geochemistry and abundance of selected diatom taxa of Effingham Inlet OSU
Trap samples, PANGAEA [data set], <ext-link xlink:href="https://doi.org/10.1594/PANGAEA.806329" ext-link-type="DOI">10.1594/PANGAEA.806329</ext-link>, 2013.</mixed-citation></ref>
      <ref id="bib1.bibx14"><?xmltex \def\ref@label{{Close and Henderson(2020)}}?><label>Close and Henderson(2020)</label><?label Close?><mixed-citation>Close, H. G. and Henderson, L. C.: Open-Ocean Minima in <inline-formula><mml:math id="M834" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">13</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>C Values of Particulate Organic Carbon in the Lower Euphotic Zone, Frontiers in Marine Science, 7, 540165, <ext-link xlink:href="https://doi.org/10.3389/fmars.2020.540165" ext-link-type="DOI">10.3389/fmars.2020.540165</ext-link>, 2020.</mixed-citation></ref>
      <ref id="bib1.bibx15"><?xmltex \def\ref@label{{Degens et~al.(1968)Degens, Behrendt, Gotthardt, and
Reppmann}}?><label>Degens et al.(1968)Degens, Behrendt, Gotthardt, and
Reppmann</label><?label Degens?><mixed-citation>Degens, E. T., Behrendt, M., Gotthardt, B., and Reppmann, E.: Metabolic
fractionation of carbon isotopes in marine plankton – II. Data on samples
collected off the coasts of Peru and Ecuador, Deep Sea Research and
Oceanographic Abstracts, 15, 11–20, <ext-link xlink:href="https://doi.org/10.1016/0011-7471(68)90025-9" ext-link-type="DOI">10.1016/0011-7471(68)90025-9</ext-link>,
1968.</mixed-citation></ref>
      <ref id="bib1.bibx16"><?xmltex \def\ref@label{{De Jonge et~al.(2015a)}}?><label>De Jonge et al.(2015a)</label><?label Dejonge2015?><mixed-citation>De Jonge, C., Stadnitskaia, A., Hopmans, E. C., Cherkashov, G. A.,
Fedotov, A., Streletskaya, I., Vasiliev, A. A., and Sinninghe
Damsté, J. S.: (Table 2) Particulate organic carbon contentand the
stable carbon isotope signal of suspended particulate matter samples,
PANGAEA [data set], <ext-link xlink:href="https://doi.org/10.1594/PANGAEA.877962" ext-link-type="DOI">10.1594/PANGAEA.877962</ext-link>, 2015a.</mixed-citation></ref>
      <ref id="bib1.bibx17"><?xmltex \def\ref@label{{De Jonge et~al.(2015b)}}?><label>De Jonge et al.(2015b)</label><?label Dejonge2015article?><mixed-citation>De Jonge, C., Stadnitskaia, A., Hopmans, E. C., Cherkashov, G. A.,
Fedotov, A., Streletskaya, I., Vasiliev, A. A., and Sinninghe
Damsté, J. S.: Drastic changes in the distribution of branched
tetraether lipids in suspended matter and sediments from the Yenisei River
and Kara Sea (Siberia): Implications for the use of brGDGT-based proxies in
coastal marine sediments., Geochim. Cosmochim. Ac., 165, 200–225,
<ext-link xlink:href="https://doi.org/10.1016/j.gca.2015.05.044" ext-link-type="DOI">10.1016/j.gca.2015.05.044</ext-link>, 2015b.</mixed-citation></ref>
      <ref id="bib1.bibx18"><?xmltex \def\ref@label{{Eadie and Jeffrey(1973)}}?><label>Eadie and Jeffrey(1973)</label><?label EadieJeffrey?><mixed-citation>Eadie, B. J. and Jeffrey, L. M.: <inline-formula><mml:math id="M835" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">13</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>C analyses of oceanic particulate matter, Mar. Chem., 1, 199–209, <ext-link xlink:href="https://doi.org/10.1016/0304-4203(73)90004-2" ext-link-type="DOI">10.1016/0304-4203(73)90004-2</ext-link>,
1973.</mixed-citation></ref>
      <ref id="bib1.bibx19"><?xmltex \def\ref@label{{Eide et~al.(2017)Eide, Olsen, Ninnemann, and Johannessen}}?><label>Eide et al.(2017)Eide, Olsen, Ninnemann, and Johannessen</label><?label Eide2017?><mixed-citation>Eide, M., Olsen, A., Ninnemann, U. S., and Johannessen, T.: A global ocean
climatology of preindustrial and modern ocean <inline-formula><mml:math id="M836" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">13</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>C, Global
Biogeochem. Cy., 31, 515–534, <ext-link xlink:href="https://doi.org/10.1002/2016gb005473" ext-link-type="DOI">10.1002/2016gb005473</ext-link>, 2017.</mixed-citation></ref>
      <ref id="bib1.bibx20"><?xmltex \def\ref@label{{EurOBIS Data Management Team(2020)}}?><label>EurOBIS Data Management Team(2020)</label><?label ArcOD?><mixed-citation>EurOBIS Data Management Team: PANGAEA – data from Archive of Ocean Data,
available at: <uri>http://ipt.vliz.be/eurobis/resource?r=pangaea_2724</uri>, last access: 3 December 2020.</mixed-citation></ref>
      <ref id="bib1.bibx21"><?xmltex \def\ref@label{{Fay and McKinley(2014)}}?><label>Fay and McKinley(2014)</label><?label FayMcKinley2014?><mixed-citation>Fay, A. R. and McKinley, G. A.: Global open-ocean biomes: mean and temporal variability, Earth Syst. Sci. Data, 6, 273–284, <ext-link xlink:href="https://doi.org/10.5194/essd-6-273-2014" ext-link-type="DOI">10.5194/essd-6-273-2014</ext-link>, 2014.</mixed-citation></ref>
      <ref id="bib1.bibx22"><?xmltex \def\ref@label{{Fischer(1989)}}?><label>Fischer(1989)</label><?label Fischer?><mixed-citation>
Fischer, G.: Stabile Kohlenstoff-Isotopen in partikulärer organischer Substanz aus dem Südpolarmeer (Atlantischer Sektor), PhD thesis, Bremen University, Bremen, Germany, 1989.</mixed-citation></ref>
      <ref id="bib1.bibx23"><?xmltex \def\ref@label{{Fontugne and Duplessy(1978)}}?><label>Fontugne and Duplessy(1978)</label><?label FontugneDuplessyEPSL?><mixed-citation>Fontugne, M. and Duplessy, J. C.: Carbon isotope ration of marine plankton
related to surface water masses, Earth Plamet. Sc. Lett., 41,
365–371, <ext-link xlink:href="https://doi.org/10.1016/0012-821X(78)90191-7" ext-link-type="DOI">10.1016/0012-821X(78)90191-7</ext-link>, 1978.</mixed-citation></ref>
      <ref id="bib1.bibx24"><?xmltex \def\ref@label{{Fontugne and Duplessy(1981)}}?><label>Fontugne and Duplessy(1981)</label><?label FontugneDuplessy?><mixed-citation>Fontugne, M. and Duplessy, J. C.: Oceanic carbon isotopic fractionation by
marine plankton in the temperature range of <inline-formula><mml:math id="M837" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>1 to 31 <inline-formula><mml:math id="M838" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>C, Oceanol. Acta, 4, 85–90, 1981.</mixed-citation></ref>
      <ref id="bib1.bibx25"><?xmltex \def\ref@label{{Fontugne et~al.(1991)Fontugne, Descolas-Gros, and
de~Billy}}?><label>Fontugne et al.(1991)Fontugne, Descolas-Gros, and
de Billy</label><?label Fontugne?><mixed-citation>Fontugne, M., Descolas-Gros, C., and de Billy, G.: The dynamics of CO<inline-formula><mml:math id="M839" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> fixation in the Southern Ocean as indicated by carboxylase activities and organic carbon isotopic ratios, Mar. Chem., 35, 371–380,
<ext-link xlink:href="https://doi.org/10.1016/S0304-4203(09)90029-9" ext-link-type="DOI">10.1016/S0304-4203(09)90029-9</ext-link>, 1991.</mixed-citation></ref>
      <ref id="bib1.bibx26"><?xmltex \def\ref@label{{Francois et~al.(1993)Francois, Atlabet, Goericke, McCorkle, Brunet,
and Posson}}?><label>Francois et al.(1993)Francois, Atlabet, Goericke, McCorkle, Brunet,
and Posson</label><?label Francois?><mixed-citation>Francois, R., Atlabet, M. A., Goericke, R., McCorkle, D. C., Brunet, C., and
Posson, A.: Changes in the <inline-formula><mml:math id="M840" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">13</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>C of surface water particulate
organic matter across the subtropical convergence in the SW Indian Ocean,
Global Biogeochem. Cy., 7, 627–644, <ext-link xlink:href="https://doi.org/10.1029/93GB01277" ext-link-type="DOI">10.1029/93GB01277</ext-link>, 1993.</mixed-citation></ref>
      <ref id="bib1.bibx27"><?xmltex \def\ref@label{{Freeman and Hayes(1992)}}?><label>Freeman and Hayes(1992)</label><?label FreemanHayes?><mixed-citation>Freeman, K. H. and Hayes, J. M.: Fractionation of carbon isotopes by
phytoplankton and estimates of ancient CO<inline-formula><mml:math id="M841" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> levels, Global Biogeochem.
Cy., 6, 185–198, <ext-link xlink:href="https://doi.org/10.1029/92GB00190" ext-link-type="DOI">10.1029/92GB00190</ext-link>, 1992.</mixed-citation></ref>
      <ref id="bib1.bibx28"><?xmltex \def\ref@label{{Fry(1996)}}?><label>Fry(1996)</label><?label Fry1996?><mixed-citation>Fry, B.: <inline-formula><mml:math id="M842" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">13</mml:mn></mml:msup></mml:math></inline-formula>C/<inline-formula><mml:math id="M843" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">12</mml:mn></mml:msup></mml:math></inline-formula>C fractionation by marine diatoms, Mar. Ecol.
Prog. Ser., 134, 283–294, <ext-link xlink:href="https://doi.org/10.3354/meps134283" ext-link-type="DOI">10.3354/meps134283</ext-link>, 1996.</mixed-citation></ref>
      <ref id="bib1.bibx29"><?xmltex \def\ref@label{{Fry and Sherr(1989)}}?><label>Fry and Sherr(1989)</label><?label FrySherr?><mixed-citation>Fry, B. and Sherr, E. B.: <inline-formula><mml:math id="M844" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">13</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>C Measurements as Indicators of Carbon Flow in Marine and Freshwater Ecosystems, in: Stable Isotopes in Ecological Research. Ecological Studies (Analysis and Synthesis), edited by: Rundel, P. W., Ehleringer, J. R., and Nagy, K. A., Springer, New York, NY, USA, vol. 68, 196–229, <ext-link xlink:href="https://doi.org/10.1007/978-1-4612-3498-2_12" ext-link-type="DOI">10.1007/978-1-4612-3498-2_12</ext-link>, 1989.</mixed-citation></ref>
      <ref id="bib1.bibx30"><?xmltex \def\ref@label{{Garcia et~al.(2018)}}?><label>Garcia et al.(2018)</label><?label WOA?><mixed-citation>
Garcia, H. E., Weathers, K., Paver, C. R., Smolyar, I., Boyer, T. P.,
Locarnini, R. A., Zweng, M. M., Mishonov, A. V., Baranova, O. K., Seidov, D.,
and Reagan, J. R.: Dissolved Inorganic Nutrients (phosphate, nitrate and
nitrate+nitrite, silicate), World Ocean Atlas 2018, 4, 35 pp., nOAA ATLAS
NESDIS 84, NOAA National Centers for Environmental Information (NCEI),
Silver Spring, Maryland, USA, 2018.</mixed-citation></ref>
      <ref id="bib1.bibx31"><?xmltex \def\ref@label{{Goericke(1994)}}?><label>Goericke(1994)</label><?label Goericke?><mixed-citation>Goericke, R.: Variations of marine plankton <inline-formula><mml:math id="M845" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">13</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>C with latitude,
temperature, and dissolved CO<inline-formula><mml:math id="M846" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> in the world ocean, Global Biogeochem.
Cy., 8, 85–90, <ext-link xlink:href="https://doi.org/10.1029/93GB03272" ext-link-type="DOI">10.1029/93GB03272</ext-link>, 1994.</mixed-citation></ref>
      <ref id="bib1.bibx32"><?xmltex \def\ref@label{{Gruber et~al.(1999)}}?><label>Gruber et al.(1999)</label><?label Gruber1999?><mixed-citation>Gruber, N., Keeling, C. D., Bacastow, R. B., Guenther, P. R., Lueker, T. J.,
Wahlen, M., Meijer, H. A. J., Mook, W. G., and Stocker, T. F.: Spatiotemporal
patterns of carbon-13 in the global surface oceans and the oceanic suess
effect, Global Biogeochem. Cy., 13, 307–335,
<ext-link xlink:href="https://doi.org/10.1029/1999GB900019" ext-link-type="DOI">10.1029/1999GB900019</ext-link>, 1999.</mixed-citation></ref>
      <ref id="bib1.bibx33"><?xmltex \def\ref@label{{Hayes(2004)}}?><label>Hayes(2004)</label><?label Hayes?><mixed-citation>Hayes, J. M.: An Introduction to Isotopic Calculations, Woods Hole Oceanographic Institution, available at: <uri>http://www.whoi.edu/cms/files/jhayes/2005/9/IsoCalcs30Sept04_5183.pdf</uri> (last access: 12 May 2020), 2004.</mixed-citation></ref>
      <ref id="bib1.bibx34"><?xmltex \def\ref@label{{Hofmann et~al.(2000)Hofmann, Wolf-Gladrow, Takahashi, Sutherland,
Six, and Maier-Reimer}}?><label>Hofmann et al.(2000)Hofmann, Wolf-Gladrow, Takahashi, Sutherland,
Six, and Maier-Reimer</label><?label Hofmann2000?><mixed-citation>Hofmann, M., Wolf-Gladrow, D. A., Takahashi, T., Sutherland, S. C., Six, K. D., and Maier-Reimer, E.: Stable carbon isotope distribution of particulate organic matter in the ocean: a model study, Mar. Chem., 72, 131–150, <ext-link xlink:href="https://doi.org/10.1016/s0304-4203(00)00078-5" ext-link-type="DOI">10.1016/s0304-4203(00)00078-5</ext-link>, 2000.</mixed-citation></ref>
      <?pagebreak page4879?><ref id="bib1.bibx35"><?xmltex \def\ref@label{{IPCC(2013)}}?><label>IPCC(2013)</label><?label IPCC2013policymakers?><mixed-citation>IPCC: Summary for policymakers, Cambridge University Press,
Cambridge, UK, 3–29, <ext-link xlink:href="https://doi.org/10.1017/CBO9781107415324.004" ext-link-type="DOI">10.1017/CBO9781107415324.004</ext-link>, 2013.</mixed-citation></ref>
      <ref id="bib1.bibx36"><?xmltex \def\ref@label{{IPCC(2014)}}?><label>IPCC(2014)</label><?label IPCC2014?><mixed-citation>
IPCC: Climate Change 2014: Synthesis Report. Contribution of Working Groups I, II and III to the Fifth Assessment Report of the Intergovernmental Panel on Climate Change, edited by: Core Writing Team, Pachauri, R. K., and Meyer, L. A., Geneva, Switzerland, 2014.</mixed-citation></ref>
      <ref id="bib1.bibx37"><?xmltex \def\ref@label{{Jahn et~al.(2015)}}?><label>Jahn et al.(2015)</label><?label Jahn2015?><mixed-citation>Jahn, A., Lindsay, K., Giraud, X., Gruber, N., Otto-Bliesner, B. L., Liu, Z., and Brady, E. C.: Carbon isotopes in the ocean model of the Community Earth System Model (CESM1), Geosci. Model Dev., 8, 2419–2434, <ext-link xlink:href="https://doi.org/10.5194/gmd-8-2419-2015" ext-link-type="DOI">10.5194/gmd-8-2419-2015</ext-link>, 2015.</mixed-citation></ref>
      <ref id="bib1.bibx38"><?xmltex \def\ref@label{{Jasper and Hayes(1990)}}?><label>Jasper and Hayes(1990)</label><?label JasperHayes?><mixed-citation>Jasper, J. P. and Hayes, J. M.: A carbonisotopic record of CO<inline-formula><mml:math id="M847" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> levels during the late Quaternary, Nature, 347, 462–464, <ext-link xlink:href="https://doi.org/10.1038/347462a0" ext-link-type="DOI">10.1038/347462a0</ext-link>, 1990.</mixed-citation></ref>
      <ref id="bib1.bibx39"><?xmltex \def\ref@label{{JGOFS(2020)}}?><label>JGOFS(2020)</label><?label JGOFS?><mixed-citation>JGOFS: Joint Global Ocean Flux Study, available at: <uri>http://ijgofs.whoi.edu</uri>, last access: 3 December 2020.</mixed-citation></ref>
      <ref id="bib1.bibx40"><?xmltex \def\ref@label{{Kaiser et~al.(2019)}}?><label>Kaiser et al.(2019)</label><?label Kaiser?><mixed-citation>Kaiser, D., Konovalov, S. K., Arz, H. W., Voss, M., Krüger, S.,
Pollehne, F., Jeschek, J., and Waniek, J. J.: Black Sea water column
dissolved nutrients and dissolved and particulate organic matter from winter
2013, Maria S. Merian cruise MSM33, PANGAEA [data set], <ext-link xlink:href="https://doi.org/10.1594/PANGAEA.898717" ext-link-type="DOI">10.1594/PANGAEA.898717</ext-link>, 2019.</mixed-citation></ref>
      <ref id="bib1.bibx41"><?xmltex \def\ref@label{{Keeling(1979)}}?><label>Keeling(1979)</label><?label Keeling?><mixed-citation>Keeling, C. D.: The Suess effect: 13Carbon-14Carbon interrelations, Environ. Int., 2, 229–300, <ext-link xlink:href="https://doi.org/10.1016/0160-4120(79)90005-9" ext-link-type="DOI">10.1016/0160-4120(79)90005-9</ext-link>, 1979.</mixed-citation></ref>
      <ref id="bib1.bibx42"><?xmltex \def\ref@label{{Kessler and McCreary(1992)}}?><label>Kessler and McCreary(1992)</label><?label Kessler?><mixed-citation>
Kessler, W. S. and McCreary, J. P.: The annual wind-driven Rossby wave in the subthermocline equatorial Pacific, J. Phys. Oceanogr., 23,
1192–1207, 1992.</mixed-citation></ref>
      <ref id="bib1.bibx43"><?xmltex \def\ref@label{{Laws et~al.(1995)}}?><label>Laws et al.(1995)</label><?label Laws1995?><mixed-citation>Laws, E. A., Popp, B. N., Bidigare, R. R., Kennicutt, M. C., and Macko, S. A.: Dependence of phytoplankton carbon isotopic composition on growth rate and [CO2]aq: Theoretical considerations and experimental results, Geochim. Cosmochim. Ac., 59, 1131–1138, <ext-link xlink:href="https://doi.org/10.1016/0016-7037(95)00030-4" ext-link-type="DOI">10.1016/0016-7037(95)00030-4</ext-link>, 1995.</mixed-citation></ref>
      <ref id="bib1.bibx44"><?xmltex \def\ref@label{{Lein and Ivanov(2009)}}?><label>Lein and Ivanov(2009)</label><?label Lein943?><mixed-citation>Lein, A. Y. and Ivanov, M. V.: (Table 9.4.3) Concentrations of suspended
matter in water samples from the 9<inline-formula><mml:math id="M848" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>50<inline-formula><mml:math id="M849" display="inline"><mml:msup><mml:mi/><mml:mo>′</mml:mo></mml:msup></mml:math></inline-formula> N EPR
hydrothermal field and contents and isotopic compositions of organic carbon
in suspended matter, PANGAEA [data set], PANGAEA, <ext-link xlink:href="https://doi.org/10.1594/PANGAEA.771566" ext-link-type="DOI">10.1594/PANGAEA.771566</ext-link>, 2009.</mixed-citation></ref>
      <ref id="bib1.bibx45"><?xmltex \def\ref@label{{Lein et~al.(2006){Lein}, {Bogdanov}, {Grichuk}, {Rusanov}, and
{Sagalevich}}}?><label>Lein et al.(2006)Lein, Bogdanov, Grichuk, Rusanov, and
Sagalevich</label><?label Lein5?><mixed-citation>Lein, A. Y., Bogdanov, Y. A., Grichuk, D. V., Rusanov, I. I., and
Sagalevich, A. M.: (Table 5) Concentration of particulate organic carbon
and its isotopic composition in water samples from hydrothermal fields at the
axis of the East Pacific Rise near 9<inline-formula><mml:math id="M850" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>50<inline-formula><mml:math id="M851" display="inline"><mml:msup><mml:mi/><mml:mo>′</mml:mo></mml:msup></mml:math></inline-formula> N, PANGAEA [data set],
PANGAEA, <ext-link xlink:href="https://doi.org/10.1594/PANGAEA.745910" ext-link-type="DOI">10.1594/PANGAEA.745910</ext-link>, 2006.</mixed-citation></ref>
      <ref id="bib1.bibx46"><?xmltex \def\ref@label{{Lein et~al.(2007){Lein}, {Bogdanova}, {Bogdanov}, and
{Magazina}}}?><label>Lein et al.(2007)Lein, Bogdanova, Bogdanov, and
Magazina</label><?label Lein6?><mixed-citation>Lein, A. Y., Bogdanova, O. Y., Bogdanov, Y. A., and Magazina, L. O.:
(Table 6) Isotopic composition of organic carbon from microbial communities
within the Lost City hydrothermal field, PANGAEA [data set],
<ext-link xlink:href="https://doi.org/10.1594/PANGAEA.765164" ext-link-type="DOI">10.1594/PANGAEA.765164</ext-link>, 2007.</mixed-citation></ref>
      <ref id="bib1.bibx47"><?xmltex \def\ref@label{{Levin et~al.(1989)Levin, Schuchard, Kromer, and
M\"{u}nnich}}?><label>Levin et al.(1989)Levin, Schuchard, Kromer, and
Münnich</label><?label Levin1989?><mixed-citation>Levin, I., Schuchard, J., Kromer, B., and Münnich, K. O.: The Continental
European Suess Effect, Radiocarbon, 31, 431–440,
<ext-link xlink:href="https://doi.org/10.1017/s0033822200012017" ext-link-type="DOI">10.1017/s0033822200012017</ext-link>, 1989.</mixed-citation></ref>
      <ref id="bib1.bibx48"><?xmltex \def\ref@label{{Liu et~al.(2021)Liu, Six, and Ilyina}}?><label>Liu et al.(2021)Liu, Six, and Ilyina</label><?label Liu2021?><mixed-citation>Liu, B., Six, K. D., and Ilyina, T.: Incorporating the stable carbon isotope <inline-formula><mml:math id="M852" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">13</mml:mn></mml:msup></mml:math></inline-formula>C in the ocean biogeochemical component of the Max Planck Institute Earth System Model, Biogeosciences, 18, 4389–4429, <ext-link xlink:href="https://doi.org/10.5194/bg-18-4389-2021" ext-link-type="DOI">10.5194/bg-18-4389-2021</ext-link>, 2021.</mixed-citation></ref>
      <ref id="bib1.bibx49"><?xmltex \def\ref@label{{Lorrain et~al.(2020)}}?><label>Lorrain et al.(2020)</label><?label Lorrain?><mixed-citation>Lorrain, A., Pethybridge, H., Cassar, N., Receveur, A., Allain, V., Bodin, N.,
Bopp, L., Choy, C. A., Duffy, L., Fry, B., Goni, N., Graham, B. S., Hobday,
A. J., Logan, J. M., Ménard, F., Menkes, C. E., Olson, R. J., Pagendam,
D. E., Point, D., Revill, A. T., Somes, C. J., and Young, J. W.: Trends in
tuna carbon isotopes suggest global changes in pelagic phytoplankton
communities, Glob. Change Biol., 26, 458–470, <ext-link xlink:href="https://doi.org/10.1111/gcb.14858" ext-link-type="DOI">10.1111/gcb.14858</ext-link>,
2020.</mixed-citation></ref>
      <ref id="bib1.bibx50"><?xmltex \def\ref@label{{MacKenzie et~al.(2019)}}?><label>MacKenzie et al.(2019)</label><?label MacKenzie?><mixed-citation>MacKenzie, K. M., Robertson, D. R., Adams, J. N., Altieri, A. H., and
Turner, B. L.: Carbon and nitrogen stable isotope data from organisms in
the Bay of Panama ecosystem, PANGAEA [data set], <ext-link xlink:href="https://doi.org/10.1594/PANGAEA.903842" ext-link-type="DOI">10.1594/PANGAEA.903842</ext-link>,
2019.</mixed-citation></ref>
      <ref id="bib1.bibx51"><?xmltex \def\ref@label{{Magozzi et~al.(2017)Magozzi, Yool, Zanden, Wunder, and
Trueman}}?><label>Magozzi et al.(2017)Magozzi, Yool, Zanden, Wunder, and
Trueman</label><?label Magozzi2017?><mixed-citation>Magozzi, S., Yool, A., Zanden, H. B. V., Wunder, M. B., and Trueman, C. N.:
Using ocean models to predict spatial and temporal variation in marine carbon
isotopes, Ecosphere, 8, e01763, <ext-link xlink:href="https://doi.org/10.1002/ecs2.1763" ext-link-type="DOI">10.1002/ecs2.1763</ext-link>, 2017.​​​​​​​</mixed-citation></ref>
      <ref id="bib1.bibx52"><?xmltex \def\ref@label{{McConnaughey and McRoy(1979)}}?><label>McConnaughey and McRoy(1979)</label><?label McConnaughey?><mixed-citation>McConnaughey, T. and McRoy, C. P.: Food-Web structure and the fractionation of Carbon isotopes in the bering sea, Mar. Biol., 53, 257–262,
<ext-link xlink:href="https://doi.org/10.1007/bf00952434" ext-link-type="DOI">10.1007/bf00952434</ext-link>, 1979.</mixed-citation></ref>
      <ref id="bib1.bibx53"><?xmltex \def\ref@label{{Mor{\'{e}}e et~al.(2018)}}?><label>Morée et al.(2018)</label><?label More2018?><mixed-citation>Morée, A. L., Schwinger, J., and Heinze, C.: Southern Ocean controls of the vertical marine <inline-formula><mml:math id="M853" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">13</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>C gradient – a modelling study, Biogeosciences, 15, 7205–7223, <ext-link xlink:href="https://doi.org/10.5194/bg-15-7205-2018" ext-link-type="DOI">10.5194/bg-15-7205-2018</ext-link>, 2018.</mixed-citation></ref>
      <ref id="bib1.bibx54"><?xmltex \def\ref@label{{Ndeye et~al.(2017)}}?><label>Ndeye et al.(2017)</label><?label Ndeye2017?><mixed-citation>Ndeye, M., Sène, M., Diop, D., and Saliège, J.-F.: Anthropogenic
CO<inline-formula><mml:math id="M854" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> in the Dakar (Senegal) Urban Area Deduced from <inline-formula><mml:math id="M855" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">14</mml:mn></mml:msup></mml:math></inline-formula>C Concentration in
Tree Leaves, Radiocarbon, 59, 1009–1019, <ext-link xlink:href="https://doi.org/10.1017/rdc.2017.48" ext-link-type="DOI">10.1017/rdc.2017.48</ext-link>, 2017.</mixed-citation></ref>
      <ref id="bib1.bibx55"><?xmltex \def\ref@label{{{NOAA's Pacific Marine Environmental Laboratory}(2020)}}?><label>NOAA's Pacific Marine Environmental Laboratory(2020)</label><?label Ferret?><mixed-citation>NOAA's Pacific Marine Environmental Laboratory: Ferret Support,
available at: <uri>http://ferret.pmel.noaa.gov/Ferret</uri>, last access: 26 November 2020.</mixed-citation></ref>
      <ref id="bib1.bibx56"><?xmltex \def\ref@label{{Popp et~al.(1989)Popp, Takigiku, Hayes, Louda, and Baker}}?><label>Popp et al.(1989)Popp, Takigiku, Hayes, Louda, and Baker</label><?label Popp?><mixed-citation>Popp, B. N., Takigiku, R., Hayes, J. M., Louda, J. W., and Baker, E. W.: The
post-palaeozoic chronology and mechanism of <inline-formula><mml:math id="M856" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">13</mml:mn></mml:msup></mml:math></inline-formula>C depletion in primary marine organic matter, Am. J. Sci., 289, 436–454, 1989.</mixed-citation></ref>
      <ref id="bib1.bibx57"><?xmltex \def\ref@label{{Popp et~al.(1998)}}?><label>Popp et al.(1998)</label><?label Popp1998?><mixed-citation>Popp, B. N., Laws, E. A., Bidigare, R. R., Dore, J. E., Hanson, K. L., and
Wakeham, S. G.: Effect of Phytoplankton Cell Geometry on Carbon Isotopic
Fractionation, Geochim. Cosmochim. Ac., 62, 69–77,
<ext-link xlink:href="https://doi.org/10.1016/s0016-7037(97)00333-5" ext-link-type="DOI">10.1016/s0016-7037(97)00333-5</ext-link>, 1998.</mixed-citation></ref>
      <ref id="bib1.bibx58"><?xmltex \def\ref@label{{Rau et~al.(1989)}}?><label>Rau et al.(1989)</label><?label Rau1989?><mixed-citation>Rau, G. H., Takahashi, T., and Des Marais, D. J.: Latitudinal variations in plankton <inline-formula><mml:math id="M857" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">13</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>C: implications for CO<inline-formula><mml:math id="M858" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> and productivity in past oceans, Nature, 341, 516–518, <ext-link xlink:href="https://doi.org/10.1038/341516a0" ext-link-type="DOI">10.1038/341516a0</ext-link>, 1989.</mixed-citation></ref>
      <ref id="bib1.bibx59"><?xmltex \def\ref@label{{Rau et~al.(1996)}}?><label>Rau et al.(1996)</label><?label Rau1996?><mixed-citation>Rau, G. H., Riebesell, U., and Wolf-Gladrow, D.: A model of photosynthetic <inline-formula><mml:math id="M859" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">13</mml:mn></mml:msup></mml:math></inline-formula>C fractionation by marine phytoplankton based on diffusive molecular CO<inline-formula><mml:math id="M860" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> uptake, Mar. Ecol. Prog. Ser., 133, 275–285, 1996.</mixed-citation></ref>
      <ref id="bib1.bibx60"><?xmltex \def\ref@label{{Rounick and Winterbourn(1986)}}?><label>Rounick and Winterbourn(1986)</label><?label RounickWinterbourn?><mixed-citation>Rounick, J. S. and Winterbourn, M. J.: Stable carbon isotopes and carbon flow
in ecosystems – Measuring <inline-formula><mml:math id="M861" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">13</mml:mn></mml:msup></mml:math></inline-formula>C to <inline-formula><mml:math id="M862" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">12</mml:mn></mml:msup></mml:math></inline-formula>C ratios can help to trace
carbon pathways, BioScience, 36, 171–177, <ext-link xlink:href="https://doi.org/10.2307/1310304" ext-link-type="DOI">10.2307/1310304</ext-link>, 1986.</mixed-citation></ref>
      <ref id="bib1.bibx61"><?xmltex \def\ref@label{{Rubino et~al.(2013)}}?><label>Rubino et al.(2013)</label><?label Rubino?><mixed-citation>Rubino, M., Etheridge, D. M., Trudinger, C. M., Allison, C. E., Battle, M. O., Langenfelds, R. L., Steele, L. P., Curran, M., Bender, M., White, J. W. C., Jenk, T. M., Blunier, T., and Francey, R. J.: A revised
1000 year atmospheric <inline-formula><mml:math id="M863" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">13</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>C-CO<inline-formula><mml:math id="M864" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> record from Law
Dome and South Pole, Antarctica, J. Geophys. Res.-Atmos., 118, 8482–8499, <ext-link xlink:href="https://doi.org/10.1002/jgrd.50668" ext-link-type="DOI">10.1002/jgrd.50668</ext-link>, 2013.</mixed-citation></ref>
      <ref id="bib1.bibx62"><?xmltex \def\ref@label{{Sacket et~al.(1965)Sacket, Eckelmann, Bender, and B\'{e}}}?><label>Sacket et al.(1965)Sacket, Eckelmann, Bender, and Bé</label><?label Sacket?><mixed-citation>Sacket, W. M., Eckelmann, <?pagebreak page4880?>W. R., Bender, M. L., and Bé, A. W. H.:
Temperature Dependence of Carbon Isotope Composition in Marine Plankton and
Sediments, Science, 148, 235–237, <ext-link xlink:href="https://doi.org/10.1126/science.148.3667.235" ext-link-type="DOI">10.1126/science.148.3667.235</ext-link>, 1965.</mixed-citation></ref>
      <ref id="bib1.bibx63"><?xmltex \def\ref@label{{Saupe et~al.(1989)Saupe, Schell, and Griffiths}}?><label>Saupe et al.(1989)Saupe, Schell, and Griffiths</label><?label Saupe?><mixed-citation>Saupe, S. M., Schell, D. M., and Griffiths, W. B.: Carbon-isotope ratio
gradients in western arctic zooplankton, Mar. Biol., 103, 427–432,
<ext-link xlink:href="https://doi.org/10.1007/BF00399574" ext-link-type="DOI">10.1007/BF00399574</ext-link>, 1989.</mixed-citation></ref>
      <ref id="bib1.bibx64"><?xmltex \def\ref@label{{Schmittner and Somes(2016)}}?><label>Schmittner and Somes(2016)</label><?label SchmittnerSomes2016?><mixed-citation>Schmittner, A. and Somes, C. J.: Complementary constraints from carbon
(<inline-formula><mml:math id="M865" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">13</mml:mn></mml:msup></mml:math></inline-formula>C) and nitrogen (<inline-formula><mml:math id="M866" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">15</mml:mn></mml:msup></mml:math></inline-formula>N) isotopes on the glacial ocean's
soft-tissue biological pump, Paleoceanography, 31, 669–693,
<ext-link xlink:href="https://doi.org/10.1002/2015PA002905" ext-link-type="DOI">10.1002/2015PA002905</ext-link>, 2016.</mixed-citation></ref>
      <ref id="bib1.bibx65"><?xmltex \def\ref@label{{Schmittner et~al.(2013)}}?><label>Schmittner et al.(2013)</label><?label Schmittner2013?><mixed-citation>Schmittner, A., Gruber, N., Mix, A. C., Key, R. M., Tagliabue, A., and Westberry, T. K.: Biology and air–sea gas exchange controls on the distribution of carbon isotope ratios (<inline-formula><mml:math id="M867" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">13</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>C) in the ocean, Biogeosciences, 10, 5793–5816, <ext-link xlink:href="https://doi.org/10.5194/bg-10-5793-2013" ext-link-type="DOI">10.5194/bg-10-5793-2013</ext-link>, 2013.</mixed-citation></ref>
      <ref id="bib1.bibx66"><?xmltex \def\ref@label{{Silverman(1986)}}?><label>Silverman(1986)</label><?label Silverman?><mixed-citation>
Silverman, B. W.: Density Estimation for Statistics and Data Analysis,
Monographs on Statistics and Applied Probability, Chapman and Hall, London, UK, 1986.</mixed-citation></ref>
      <ref id="bib1.bibx67"><?xmltex \def\ref@label{{Suess(1980)}}?><label>Suess(1980)</label><?label SuessPOC?><mixed-citation>
Suess, E.: Particulate organic carbon flux in the oceans–surface productivity
and oxygen utilization, Nature, 288, 260–263, 1980.</mixed-citation></ref>
      <ref id="bib1.bibx68"><?xmltex \def\ref@label{{Tagliabue and Bopp(2008)}}?><label>Tagliabue and Bopp(2008)</label><?label Tagliabue2008?><mixed-citation>Tagliabue, A. and Bopp, L.: Towards understanding global variability in ocean
carbon-13, Global Biogeochem. Cy., 22, GB1025,
<ext-link xlink:href="https://doi.org/10.1029/2007gb003037" ext-link-type="DOI">10.1029/2007gb003037</ext-link>, 2008.</mixed-citation></ref>
      <ref id="bib1.bibx69"><?xmltex \def\ref@label{{Thiede et~al.(1988)}}?><label>Thiede et al.(1988)</label><?label SFB313?><mixed-citation>
Thiede, J., Gerlach, S. A., Altenbach, A., and Henrich, R.: Sedimentation im
europaeischen Nordmeer – Organisation und Forschungsprogramm des
Sonderforschungsbereiches 313 fuer den Zeitraum 1988–1990, Tech. rep., Kiel University, Kiel, Germany, 1988.</mixed-citation></ref>
      <ref id="bib1.bibx70"><?xmltex \def\ref@label{{Tjiputra et~al.(2020)}}?><label>Tjiputra et al.(2020)</label><?label Tjiputra2020?><mixed-citation>Tjiputra, J. F., Schwinger, J., Bentsen, M., Morée, A. L., Gao, S., Bethke, I., Heinze, C., Goris, N., Gupta, A., He, Y.-C., Olivié, D., Seland, Ø., and Schulz, M.: Ocean biogeochemistry in the Norwegian Earth System Model version 2 (NorESM2), Geosci. Model Dev., 13, 2393–2431, <ext-link xlink:href="https://doi.org/10.5194/gmd-13-2393-2020" ext-link-type="DOI">10.5194/gmd-13-2393-2020</ext-link>, 2020.</mixed-citation></ref>
      <ref id="bib1.bibx71"><?xmltex \def\ref@label{{Trull and Armand(2001)}}?><label>Trull and Armand(2001)</label><?label TrullArticle?><mixed-citation>Trull, T. W. and Armand, L. K.: Insights into Southern Ocean carbon export from the <inline-formula><mml:math id="M868" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">13</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>C of particles and dissolved inorganic carbon during the SOIREE iron release experiment, Deep-Sea Res. Pt. II, 48, 2655–2680, <ext-link xlink:href="https://doi.org/10.1016/S0967-0645(01)00013-3" ext-link-type="DOI">10.1016/S0967-0645(01)00013-3</ext-link>, 2001.</mixed-citation></ref>
      <ref id="bib1.bibx72"><?xmltex \def\ref@label{{Trull and Armand(2013a)}}?><label>Trull and Armand(2013a)</label><?label Trull?><mixed-citation>Trull, T. W. and Armand, L. K.: <inline-formula><mml:math id="M869" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">13</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>C content of
particulate organic carbon measured on samples from traps during TANGAROA
cruise SOIREE, PANGAEA [data set], <ext-link xlink:href="https://doi.org/10.1594/PANGAEA.807904" ext-link-type="DOI">10.1594/PANGAEA.807904</ext-link>, 2013a.</mixed-citation></ref>
      <ref id="bib1.bibx73"><?xmltex \def\ref@label{{Trull and Armand(2013b)}}?><label>Trull and Armand(2013b)</label><?label Trull2?><mixed-citation>Trull, T. W. and Armand, L. K.: <inline-formula><mml:math id="M870" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">13</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>C content of
fractionated particulate organic carbon measured on samples from traps during
TANGAROA cruise SOIREE, PANGAEA [data set], <ext-link xlink:href="https://doi.org/10.1594/PANGAEA.807906" ext-link-type="DOI">10.1594/PANGAEA.807906</ext-link>, 2013b.
</mixed-citation></ref><?xmltex \hack{\newpage}?>
      <ref id="bib1.bibx74"><?xmltex \def\ref@label{{Tuerena et~al.(2019)}}?><label>Tuerena et al.(2019)</label><?label Tuerena?><mixed-citation>Tuerena, R. E., Ganeshram, R. S., Humphreys, M. P., Browning, T. J., Bouman, H., and Piotrowski, A. P.: Isotopic fractionation of carbon during uptake by phytoplankton across the South Atlantic subtropical convergence, Biogeosciences, 16, 3621–3635, <ext-link xlink:href="https://doi.org/10.5194/bg-16-3621-2019" ext-link-type="DOI">10.5194/bg-16-3621-2019</ext-link>, 2019.</mixed-citation></ref>
      <ref id="bib1.bibx75"><?xmltex \def\ref@label{{Verwega et~al.(2021)}}?><label>Verwega et al.(2021)</label><?label Verwega?><mixed-citation>Verwega, M.-T., Somes, C. J., Tuerena, R. E., and Lorrain, A.: A
global marine particulate organic carbon-13 isotope data product, PANGAEA [data set], <ext-link xlink:href="https://doi.org/10.1594/PANGAEA.929931" ext-link-type="DOI">10.1594/PANGAEA.929931</ext-link>, 2021.</mixed-citation></ref>
      <ref id="bib1.bibx76"><?xmltex \def\ref@label{{Virtanen et~al.(2020)}}?><label>Virtanen et al.(2020)</label><?label SciPy?><mixed-citation>Virtanen, P., Gommers, R., Oliphant, T. E., Haberland, M., Reddy, T.,
Cournapeau, D., Burovski, E., Peterson, P., Weckesser, W., Bright, J., van
der Walt, S. J., Brett, M., Wilson, J., Millman, K. J., Mayorov, N., Nelson,
A. R. J., Jones, E., Kern, R., Larson, E., Carey, C. J., Polat, İ., Feng,
Y., Moore, E. W., VanderPlas, J., Laxalde, D., Perktold, J., Cimrman, R.,
Henriksen, I., Quintero, E. A., Harris, C. R., Archibald, A. M., Ribeiro,
A. H., Pedregosa, F., van Mulbregt, P., and SciPy 1.0 Contributors:
SciPy 1.0: Fundamental Algorithms for Scientific Computing in Python,
Nat. Methods, 17, 261–272, <ext-link xlink:href="https://doi.org/10.1038/s41592-019-0686-2" ext-link-type="DOI">10.1038/s41592-019-0686-2</ext-link>, 2020.</mixed-citation></ref>
      <ref id="bib1.bibx77"><?xmltex \def\ref@label{{Volk and Hoffert(1985)}}?><label>Volk and Hoffert(1985)</label><?label VolkHoffert?><mixed-citation>Volk, T. and Hoffert, M. I.: Ocean carbon pumps: analysis of relative strengths and efficiencies in ocean-driven atmospheric CO<inline-formula><mml:math id="M871" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> changes,
American Geophysical Union; Geophysical Monograph, 32, 99–110, 1985.</mixed-citation></ref>
      <ref id="bib1.bibx78"><?xmltex \def\ref@label{{Voss and von Bodungen(2003)}}?><label>Voss and von Bodungen(2003)</label><?label VossBodungen?><mixed-citation>Voss, M. and von Bodungen, B.: Carbon and nitrogen from mooring NB2, PANGAEA [data set], <ext-link xlink:href="https://doi.org/10.1594/PANGAEA.106805" ext-link-type="DOI">10.1594/PANGAEA.106805</ext-link>, 2003.</mixed-citation></ref>
      <ref id="bib1.bibx79"><?xmltex \def\ref@label{{Wada et~al.(1987)}}?><label>Wada et al.(1987)</label><?label Wada?><mixed-citation>Wada, E., Terazaki, M., Kabaya, Y., and Nemoto, T.: <inline-formula><mml:math id="M872" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">15</mml:mn></mml:msup></mml:math></inline-formula>N and <inline-formula><mml:math id="M873" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">13</mml:mn></mml:msup></mml:math></inline-formula>C
abundances in the Antarctic Ocean with emphasis on the biogeochemical
structure of the food web, Deep-Sea Res., 34, 829–841, <ext-link xlink:href="https://doi.org/10.1016/0198-0149(87)90039-2" ext-link-type="DOI">10.1016/0198-0149(87)90039-2</ext-link>, 1987.</mixed-citation></ref>
      <ref id="bib1.bibx80"><?xmltex \def\ref@label{{Westerhausen and Sarnthein(2003)}}?><label>Westerhausen and Sarnthein(2003)</label><?label Westerhausen?><mixed-citation>Westerhausen, L. and Sarnthein, M.: <inline-formula><mml:math id="M874" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">13</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>C of plankton from
surface water (Table A2), PANGAEA [data set], <ext-link xlink:href="https://doi.org/10.1594/PANGAEA.89388" ext-link-type="DOI">10.1594/PANGAEA.89388</ext-link>, 2003.</mixed-citation></ref>
      <ref id="bib1.bibx81"><?xmltex \def\ref@label{{Young et~al.(2013)}}?><label>Young et al.(2013)</label><?label Young?><mixed-citation>Young, J. N., Bruggeman, J., Rickaby, R. E. M., Erez, J., and Conte, M.:
Evidence for changes in carbon isotopic fractionation by phytoplankton
between 1960 and 2010, Global Biogeochem. Cy., 27, 505–515,
<ext-link xlink:href="https://doi.org/10.1002/gbc.20045" ext-link-type="DOI">10.1002/gbc.20045</ext-link>, 2013.</mixed-citation></ref>
      <ref id="bib1.bibx82"><?xmltex \def\ref@label{{Zeebe and Wolf-Gladrow(2001)}}?><label>Zeebe and Wolf-Gladrow(2001)</label><?label ZeebeWolf?><mixed-citation>Zeebe, R. E. and Wolf-Gladrow, D.: CO<inline-formula><mml:math id="M875" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> in Seawater: Equilibrium, Kinetics, Isotopes, Elsevier Science B.V., Elsevier Oceanography Series, Amsterdam, the Netherlands, 65, 2001.</mixed-citation></ref>
      <ref id="bib1.bibx83"><?xmltex \def\ref@label{{Zhang et~al.(1995)}}?><label>Zhang et al.(1995)</label><?label Zhang1995?><mixed-citation>Zhang, J., Quay, P., and Wilbur, D.: Carbon isotope fractionation during
gas-water exchange and dissolution of CO2, Geochim. Cosmochim. Ac.,
59, 107–114, <ext-link xlink:href="https://doi.org/10.1016/0016-7037(95)91550-d" ext-link-type="DOI">10.1016/0016-7037(95)91550-d</ext-link>, 1995.</mixed-citation></ref>

  </ref-list></back>
    <!--<article-title-html>Description of a global marine particulate organic carbon-13 isotope data set</article-title-html>
<abstract-html><p>Marine particulate organic carbon stable isotope ratios (<i>δ</i><sup>13</sup>C<sub>POC</sub>) provide insights into understanding carbon cycling through the atmosphere, ocean and biosphere. They have for example been used to trace the input of anthropogenic carbon in the marine ecosystem due to the distinct isotopically light signature of anthropogenic emissions. However, <i>δ</i><sup>13</sup>C<sub>POC</sub> is also significantly altered during photosynthesis by phytoplankton, which complicates its interpretation. For such purposes, robust spatio-temporal coverage of <i>δ</i><sup>13</sup>C<sub>POC</sub> observations is essential. We collected all such available data sets and merged and homogenized them to provide the largest available marine <i>δ</i><sup>13</sup>C<sub>POC</sub> data set (<a href="https://doi.org/10.1594/PANGAEA.929931" target="_blank">https://doi.org/10.1594/PANGAEA.929931</a>; Verwega et al., 2021). The data set consists of 4732 data points covering all major ocean basins beginning in the 1960s. We describe the compiled raw data, compare different observational methods, and provide key insights in the temporal and spatial distribution that is consistent with previously observed large-scale patterns. The main different sample collection methods (bottle, intake, net, trap) are generally consistent with each other when comparing within regions. An analysis of 1990s median <i>δ</i><sup>13</sup>C<sub>POC</sub> values in a meridional section across the best-covered Atlantic Ocean shows relatively high values ( ≥ −22&thinsp;‰) in the low latitudes ( &lt; 30°) trending towards lower values in the Arctic Ocean ( ∼ −24&thinsp;‰) and Southern Ocean ( ≤ −28&thinsp;‰). The temporal trend since the 1960s shows a decrease in the median <i>δ</i><sup>13</sup>C<sub>POC</sub> by more than 3&thinsp;‰ in all basins except for the Southern Ocean, which shows a weaker trend but contains relatively poor multi-decadal coverage.</p></abstract-html>
<ref-html id="bib1.bib1"><label>AESOPS(2020)</label><mixed-citation>
AESOPS: U.S. JGOFS Antarctic Environment and Southern Ocean Process Study, available at: <a href="http://usjgofs.whoi.edu/southern.html" target="_blank"/>, last access: 3 December 2020.
</mixed-citation></ref-html>
<ref-html id="bib1.bib2"><label>Alfred-Wegener-Institut(2020)</label><mixed-citation>
Alfred-Wegener-Institut: PANGAEA Data Publisher for Earth &amp; Environmental
Science, available at: <a href="https://www.pangaea.de" target="_blank"/>, last access: 3 December 2020.
</mixed-citation></ref-html>
<ref-html id="bib1.bib3"><label>Altabet and Francois(2003a)</label><mixed-citation>
Altabet, M. A. and Francois, R.: Natural nitrogen and carbon stable
isotopic composition in surface water at cruise NBP96-05, PANGAEA [data set], <a href="https://doi.org/10.1594/PANGAEA.128266" target="_blank">https://doi.org/10.1594/PANGAEA.128266</a>, 2003a.
</mixed-citation></ref-html>
<ref-html id="bib1.bib4"><label>Altabet and Francois(2003b)</label><mixed-citation>
Altabet, M. A. and Francois, R.: Natural nitrogen and carbon stable
isotopic composition of station NBP96-05-06-4, PANGAEA [data set], <a href="https://doi.org/10.1594/PANGAEA.128229" target="_blank">https://doi.org/10.1594/PANGAEA.128229</a>, 2003b.
</mixed-citation></ref-html>
<ref-html id="bib1.bib5"><label>Banse(1990)</label><mixed-citation>
Banse, K.: New views on the degradation and disposition of organic particles as collected by sediment traps in the open sea, Deep-Sea Res., 37, 1177–1195, <a href="https://doi.org/10.1016/0198-0149(90)90058-4" target="_blank">https://doi.org/10.1016/0198-0149(90)90058-4</a>, 1990.
</mixed-citation></ref-html>
<ref-html id="bib1.bib6"><label>Bidigare et al.(1997)</label><mixed-citation>
Bidigare, R. R., Fluegge, A., Freeman, K. H., Hanson, K. L., Hayes, J. M.,
Hollander, D., Jasper, J. P., King, L. L., Laws, E. A., Milder, J., Millero,
F. J., Pancost, R., Popp, B. N., Steinberg, P. A., and Wakeham, S. G.:
Consistent fractionation of<sup>13</sup>C in nature and in the laboratory: Growth-rate
effects in some haptophyte algae, Global Biogeochem. Cy., 11, 279–292, <a href="https://doi.org/10.1029/96gb03939" target="_blank">https://doi.org/10.1029/96gb03939</a>, 1997.
</mixed-citation></ref-html>
<ref-html id="bib1.bib7"><label>Buchanan et al.(2019)</label><mixed-citation>
Buchanan, P. J., Matear, R. J., Chase, Z., Phipps, S. J., and Bindoff, N. L.: Ocean carbon and nitrogen isotopes in CSIRO Mk3L-COAL version 1.0: a tool for palaeoceanographic research, Geosci. Model Dev., 12, 1491–1523, <a href="https://doi.org/10.5194/gmd-12-1491-2019" target="_blank">https://doi.org/10.5194/gmd-12-1491-2019</a>, 2019.
</mixed-citation></ref-html>
<ref-html id="bib1.bib8"><label>Calvert(2002)</label><mixed-citation>
Calvert, S. E.: Stable isotope data of sediment trap P84-4, PANGAEA [data set], <a href="https://doi.org/10.1594/PANGAEA.68555" target="_blank">https://doi.org/10.1594/PANGAEA.68555</a>, 2002.
</mixed-citation></ref-html>
<ref-html id="bib1.bib9"><label>Calvert and Soon(2013a)</label><mixed-citation>
Calvert, S. E. and Soon, M.: Carbon and nitrogen data measured on water
samples from the multiple unit large volume filtration system (MULVFS) during John P. Tully cruise IOS_96-09, PANGAEA [data set], <a href="https://doi.org/10.1594/PANGAEA.808319" target="_blank">https://doi.org/10.1594/PANGAEA.808319</a>,
2013a.
</mixed-citation></ref-html>
<ref-html id="bib1.bib10"><label>Calvert and Soon(2013b)</label><mixed-citation>
Calvert, S. E. and Soon, M.: Carbon and nitrogen data measured on water
samples from the multiple unit large volume filtration system (MULVFS) during
John P. Tully cruise IOS_96-18, PANGAEA [data set], <a href="https://doi.org/10.1594/PANGAEA.808320" target="_blank">https://doi.org/10.1594/PANGAEA.808320</a>,
2013b.
</mixed-citation></ref-html>
<ref-html id="bib1.bib11"><label>Calvert and Soon(2013c)</label><mixed-citation>
Calvert, S. E. and Soon, M.: Carbon and nitrogen data measured on water
samples from the multiple unit large volume filtration system (MULVFS) during
John P. Tully cruise IOS_97-02, PANGAEA [data set], <a href="https://doi.org/10.1594/PANGAEA.808321" target="_blank">https://doi.org/10.1594/PANGAEA.808321</a>,
2013c.
</mixed-citation></ref-html>
<ref-html id="bib1.bib12"><label>Cassar et al.(2006)Cassar, Laws, and Popp</label><mixed-citation>
Cassar, N., Laws, E. A., and Popp, B. N.: Carbon isotopic fractionation by the
marine diatom Phaeodactylum tricornutum under nutrient- and light-limited
growth conditions, Geochim. Cosmochim. Ac., 70, 5323–5335,
<a href="https://doi.org/10.1016/j.gca.2006.08.024" target="_blank">https://doi.org/10.1016/j.gca.2006.08.024</a>, 2006.
</mixed-citation></ref-html>
<ref-html id="bib1.bib13"><label>Chang et al.(2013)</label><mixed-citation>
Chang, A. S., Bertram, M. A., Ivanochko, T. S., Calvert, S. E.,
Dallimore, A., and Thomson, R. E.: (Supplement 2) Total mass flux,
geochemistry and abundance of selected diatom taxa of Effingham Inlet OSU
Trap samples, PANGAEA [data set], <a href="https://doi.org/10.1594/PANGAEA.806329" target="_blank">https://doi.org/10.1594/PANGAEA.806329</a>, 2013.
</mixed-citation></ref-html>
<ref-html id="bib1.bib14"><label>Close and Henderson(2020)</label><mixed-citation>
Close, H. G. and Henderson, L. C.: Open-Ocean Minima in <i>δ</i><sup>13</sup>C Values of Particulate Organic Carbon in the Lower Euphotic Zone, Frontiers in Marine Science, 7, 540165, <a href="https://doi.org/10.3389/fmars.2020.540165" target="_blank">https://doi.org/10.3389/fmars.2020.540165</a>, 2020.
</mixed-citation></ref-html>
<ref-html id="bib1.bib15"><label>Degens et al.(1968)Degens, Behrendt, Gotthardt, and
Reppmann</label><mixed-citation>
Degens, E. T., Behrendt, M., Gotthardt, B., and Reppmann, E.: Metabolic
fractionation of carbon isotopes in marine plankton – II. Data on samples
collected off the coasts of Peru and Ecuador, Deep Sea Research and
Oceanographic Abstracts, 15, 11–20, <a href="https://doi.org/10.1016/0011-7471(68)90025-9" target="_blank">https://doi.org/10.1016/0011-7471(68)90025-9</a>,
1968.
</mixed-citation></ref-html>
<ref-html id="bib1.bib16"><label>De Jonge et al.(2015a)</label><mixed-citation>
De Jonge, C., Stadnitskaia, A., Hopmans, E. C., Cherkashov, G. A.,
Fedotov, A., Streletskaya, I., Vasiliev, A. A., and Sinninghe
Damsté, J. S.: (Table 2) Particulate organic carbon contentand the
stable carbon isotope signal of suspended particulate matter samples,
PANGAEA [data set], <a href="https://doi.org/10.1594/PANGAEA.877962" target="_blank">https://doi.org/10.1594/PANGAEA.877962</a>, 2015a.
</mixed-citation></ref-html>
<ref-html id="bib1.bib17"><label>De Jonge et al.(2015b)</label><mixed-citation>
De Jonge, C., Stadnitskaia, A., Hopmans, E. C., Cherkashov, G. A.,
Fedotov, A., Streletskaya, I., Vasiliev, A. A., and Sinninghe
Damsté, J. S.: Drastic changes in the distribution of branched
tetraether lipids in suspended matter and sediments from the Yenisei River
and Kara Sea (Siberia): Implications for the use of brGDGT-based proxies in
coastal marine sediments., Geochim. Cosmochim. Ac., 165, 200–225,
<a href="https://doi.org/10.1016/j.gca.2015.05.044" target="_blank">https://doi.org/10.1016/j.gca.2015.05.044</a>, 2015b.
</mixed-citation></ref-html>
<ref-html id="bib1.bib18"><label>Eadie and Jeffrey(1973)</label><mixed-citation>
Eadie, B. J. and Jeffrey, L. M.: <i>δ</i><sup>13</sup>C analyses of oceanic particulate matter, Mar. Chem., 1, 199–209, <a href="https://doi.org/10.1016/0304-4203(73)90004-2" target="_blank">https://doi.org/10.1016/0304-4203(73)90004-2</a>,
1973.
</mixed-citation></ref-html>
<ref-html id="bib1.bib19"><label>Eide et al.(2017)Eide, Olsen, Ninnemann, and Johannessen</label><mixed-citation>
Eide, M., Olsen, A., Ninnemann, U. S., and Johannessen, T.: A global ocean
climatology of preindustrial and modern ocean <i>δ</i><sup>13</sup>C, Global
Biogeochem. Cy., 31, 515–534, <a href="https://doi.org/10.1002/2016gb005473" target="_blank">https://doi.org/10.1002/2016gb005473</a>, 2017.
</mixed-citation></ref-html>
<ref-html id="bib1.bib20"><label>EurOBIS Data Management Team(2020)</label><mixed-citation>
EurOBIS Data Management Team: PANGAEA – data from Archive of Ocean Data,
available at: <a href="http://ipt.vliz.be/eurobis/resource?r=pangaea_2724" target="_blank"/>, last access: 3 December 2020.
</mixed-citation></ref-html>
<ref-html id="bib1.bib21"><label>Fay and McKinley(2014)</label><mixed-citation>
Fay, A. R. and McKinley, G. A.: Global open-ocean biomes: mean and temporal variability, Earth Syst. Sci. Data, 6, 273–284, <a href="https://doi.org/10.5194/essd-6-273-2014" target="_blank">https://doi.org/10.5194/essd-6-273-2014</a>, 2014.
</mixed-citation></ref-html>
<ref-html id="bib1.bib22"><label>Fischer(1989)</label><mixed-citation>
Fischer, G.: Stabile Kohlenstoff-Isotopen in partikulärer organischer Substanz aus dem Südpolarmeer (Atlantischer Sektor), PhD thesis, Bremen University, Bremen, Germany, 1989.
</mixed-citation></ref-html>
<ref-html id="bib1.bib23"><label>Fontugne and Duplessy(1978)</label><mixed-citation>
Fontugne, M. and Duplessy, J. C.: Carbon isotope ration of marine plankton
related to surface water masses, Earth Plamet. Sc. Lett., 41,
365–371, <a href="https://doi.org/10.1016/0012-821X(78)90191-7" target="_blank">https://doi.org/10.1016/0012-821X(78)90191-7</a>, 1978.
</mixed-citation></ref-html>
<ref-html id="bib1.bib24"><label>Fontugne and Duplessy(1981)</label><mixed-citation>
Fontugne, M. and Duplessy, J. C.: Oceanic carbon isotopic fractionation by
marine plankton in the temperature range of −1 to 31&thinsp;°C, Oceanol. Acta, 4, 85–90, 1981.
</mixed-citation></ref-html>
<ref-html id="bib1.bib25"><label>Fontugne et al.(1991)Fontugne, Descolas-Gros, and
de Billy</label><mixed-citation>
Fontugne, M., Descolas-Gros, C., and de Billy, G.: The dynamics of CO<sub>2</sub> fixation in the Southern Ocean as indicated by carboxylase activities and organic carbon isotopic ratios, Mar. Chem., 35, 371–380,
<a href="https://doi.org/10.1016/S0304-4203(09)90029-9" target="_blank">https://doi.org/10.1016/S0304-4203(09)90029-9</a>, 1991.
</mixed-citation></ref-html>
<ref-html id="bib1.bib26"><label>Francois et al.(1993)Francois, Atlabet, Goericke, McCorkle, Brunet,
and Posson</label><mixed-citation>
Francois, R., Atlabet, M. A., Goericke, R., McCorkle, D. C., Brunet, C., and
Posson, A.: Changes in the <i>δ</i><sup>13</sup>C of surface water particulate
organic matter across the subtropical convergence in the SW Indian Ocean,
Global Biogeochem. Cy., 7, 627–644, <a href="https://doi.org/10.1029/93GB01277" target="_blank">https://doi.org/10.1029/93GB01277</a>, 1993.
</mixed-citation></ref-html>
<ref-html id="bib1.bib27"><label>Freeman and Hayes(1992)</label><mixed-citation>
Freeman, K. H. and Hayes, J. M.: Fractionation of carbon isotopes by
phytoplankton and estimates of ancient CO<sub>2</sub> levels, Global Biogeochem.
Cy., 6, 185–198, <a href="https://doi.org/10.1029/92GB00190" target="_blank">https://doi.org/10.1029/92GB00190</a>, 1992.
</mixed-citation></ref-html>
<ref-html id="bib1.bib28"><label>Fry(1996)</label><mixed-citation>
Fry, B.: <sup>13</sup>C/<sup>12</sup>C fractionation by marine diatoms, Mar. Ecol.
Prog. Ser., 134, 283–294, <a href="https://doi.org/10.3354/meps134283" target="_blank">https://doi.org/10.3354/meps134283</a>, 1996.
</mixed-citation></ref-html>
<ref-html id="bib1.bib29"><label>Fry and Sherr(1989)</label><mixed-citation>
Fry, B. and Sherr, E. B.: <i>δ</i><sup>13</sup>C Measurements as Indicators of Carbon Flow in Marine and Freshwater Ecosystems, in: Stable Isotopes in Ecological Research. Ecological Studies (Analysis and Synthesis), edited by: Rundel, P. W., Ehleringer, J. R., and Nagy, K. A., Springer, New York, NY, USA, vol. 68, 196–229, <a href="https://doi.org/10.1007/978-1-4612-3498-2_12" target="_blank">https://doi.org/10.1007/978-1-4612-3498-2_12</a>, 1989.
</mixed-citation></ref-html>
<ref-html id="bib1.bib30"><label>Garcia et al.(2018)</label><mixed-citation>
Garcia, H. E., Weathers, K., Paver, C. R., Smolyar, I., Boyer, T. P.,
Locarnini, R. A., Zweng, M. M., Mishonov, A. V., Baranova, O. K., Seidov, D.,
and Reagan, J. R.: Dissolved Inorganic Nutrients (phosphate, nitrate and
nitrate+nitrite, silicate), World Ocean Atlas 2018, 4, 35 pp., nOAA ATLAS
NESDIS 84, NOAA National Centers for Environmental Information (NCEI),
Silver Spring, Maryland, USA, 2018.
</mixed-citation></ref-html>
<ref-html id="bib1.bib31"><label>Goericke(1994)</label><mixed-citation>
Goericke, R.: Variations of marine plankton <i>δ</i><sup>13</sup>C with latitude,
temperature, and dissolved CO<sub>2</sub> in the world ocean, Global Biogeochem.
Cy., 8, 85–90, <a href="https://doi.org/10.1029/93GB03272" target="_blank">https://doi.org/10.1029/93GB03272</a>, 1994.
</mixed-citation></ref-html>
<ref-html id="bib1.bib32"><label>Gruber et al.(1999)</label><mixed-citation>
Gruber, N., Keeling, C. D., Bacastow, R. B., Guenther, P. R., Lueker, T. J.,
Wahlen, M., Meijer, H. A. J., Mook, W. G., and Stocker, T. F.: Spatiotemporal
patterns of carbon-13 in the global surface oceans and the oceanic suess
effect, Global Biogeochem. Cy., 13, 307–335,
<a href="https://doi.org/10.1029/1999GB900019" target="_blank">https://doi.org/10.1029/1999GB900019</a>, 1999.
</mixed-citation></ref-html>
<ref-html id="bib1.bib33"><label>Hayes(2004)</label><mixed-citation>
Hayes, J. M.: An Introduction to Isotopic Calculations, Woods Hole Oceanographic Institution, available at: <a href="http://www.whoi.edu/cms/files/jhayes/2005/9/IsoCalcs30Sept04_5183.pdf" target="_blank"/> (last access: 12 May 2020), 2004.
</mixed-citation></ref-html>
<ref-html id="bib1.bib34"><label>Hofmann et al.(2000)Hofmann, Wolf-Gladrow, Takahashi, Sutherland,
Six, and Maier-Reimer</label><mixed-citation>
Hofmann, M., Wolf-Gladrow, D. A., Takahashi, T., Sutherland, S. C., Six, K. D., and Maier-Reimer, E.: Stable carbon isotope distribution of particulate organic matter in the ocean: a model study, Mar. Chem., 72, 131–150, <a href="https://doi.org/10.1016/s0304-4203(00)00078-5" target="_blank">https://doi.org/10.1016/s0304-4203(00)00078-5</a>, 2000.
</mixed-citation></ref-html>
<ref-html id="bib1.bib35"><label>IPCC(2013)</label><mixed-citation>
IPCC: Summary for policymakers, Cambridge University Press,
Cambridge, UK, 3–29, <a href="https://doi.org/10.1017/CBO9781107415324.004" target="_blank">https://doi.org/10.1017/CBO9781107415324.004</a>, 2013.
</mixed-citation></ref-html>
<ref-html id="bib1.bib36"><label>IPCC(2014)</label><mixed-citation>
IPCC: Climate Change 2014: Synthesis Report. Contribution of Working Groups I, II and III to the Fifth Assessment Report of the Intergovernmental Panel on Climate Change, edited by: Core Writing Team, Pachauri, R. K., and Meyer, L. A., Geneva, Switzerland, 2014.
</mixed-citation></ref-html>
<ref-html id="bib1.bib37"><label>Jahn et al.(2015)</label><mixed-citation>
Jahn, A., Lindsay, K., Giraud, X., Gruber, N., Otto-Bliesner, B. L., Liu, Z., and Brady, E. C.: Carbon isotopes in the ocean model of the Community Earth System Model (CESM1), Geosci. Model Dev., 8, 2419–2434, <a href="https://doi.org/10.5194/gmd-8-2419-2015" target="_blank">https://doi.org/10.5194/gmd-8-2419-2015</a>, 2015.
</mixed-citation></ref-html>
<ref-html id="bib1.bib38"><label>Jasper and Hayes(1990)</label><mixed-citation>
Jasper, J. P. and Hayes, J. M.: A carbonisotopic record of CO<sub>2</sub> levels during the late Quaternary, Nature, 347, 462–464, <a href="https://doi.org/10.1038/347462a0" target="_blank">https://doi.org/10.1038/347462a0</a>, 1990.
</mixed-citation></ref-html>
<ref-html id="bib1.bib39"><label>JGOFS(2020)</label><mixed-citation>
JGOFS: Joint Global Ocean Flux Study, available at: <a href="http://ijgofs.whoi.edu" target="_blank"/>, last access: 3 December 2020.
</mixed-citation></ref-html>
<ref-html id="bib1.bib40"><label>Kaiser et al.(2019)</label><mixed-citation>
Kaiser, D., Konovalov, S. K., Arz, H. W., Voss, M., Krüger, S.,
Pollehne, F., Jeschek, J., and Waniek, J. J.: Black Sea water column
dissolved nutrients and dissolved and particulate organic matter from winter
2013, Maria S. Merian cruise MSM33, PANGAEA [data set], <a href="https://doi.org/10.1594/PANGAEA.898717" target="_blank">https://doi.org/10.1594/PANGAEA.898717</a>, 2019.
</mixed-citation></ref-html>
<ref-html id="bib1.bib41"><label>Keeling(1979)</label><mixed-citation>
Keeling, C. D.: The Suess effect: 13Carbon-14Carbon interrelations, Environ. Int., 2, 229–300, <a href="https://doi.org/10.1016/0160-4120(79)90005-9" target="_blank">https://doi.org/10.1016/0160-4120(79)90005-9</a>, 1979.
</mixed-citation></ref-html>
<ref-html id="bib1.bib42"><label>Kessler and McCreary(1992)</label><mixed-citation>
Kessler, W. S. and McCreary, J. P.: The annual wind-driven Rossby wave in the subthermocline equatorial Pacific, J. Phys. Oceanogr., 23,
1192–1207, 1992.
</mixed-citation></ref-html>
<ref-html id="bib1.bib43"><label>Laws et al.(1995)</label><mixed-citation>
Laws, E. A., Popp, B. N., Bidigare, R. R., Kennicutt, M. C., and Macko, S. A.: Dependence of phytoplankton carbon isotopic composition on growth rate and [CO2]aq: Theoretical considerations and experimental results, Geochim. Cosmochim. Ac., 59, 1131–1138, <a href="https://doi.org/10.1016/0016-7037(95)00030-4" target="_blank">https://doi.org/10.1016/0016-7037(95)00030-4</a>, 1995.
</mixed-citation></ref-html>
<ref-html id="bib1.bib44"><label>Lein and Ivanov(2009)</label><mixed-citation>
Lein, A. Y. and Ivanov, M. V.: (Table 9.4.3) Concentrations of suspended
matter in water samples from the 9°50′&thinsp;N EPR
hydrothermal field and contents and isotopic compositions of organic carbon
in suspended matter, PANGAEA [data set], PANGAEA, <a href="https://doi.org/10.1594/PANGAEA.771566" target="_blank">https://doi.org/10.1594/PANGAEA.771566</a>, 2009.
</mixed-citation></ref-html>
<ref-html id="bib1.bib45"><label>Lein et al.(2006)Lein, Bogdanov, Grichuk, Rusanov, and
Sagalevich</label><mixed-citation>
Lein, A. Y., Bogdanov, Y. A., Grichuk, D. V., Rusanov, I. I., and
Sagalevich, A. M.: (Table 5) Concentration of particulate organic carbon
and its isotopic composition in water samples from hydrothermal fields at the
axis of the East Pacific Rise near 9°50′&thinsp;N, PANGAEA [data set],
PANGAEA, <a href="https://doi.org/10.1594/PANGAEA.745910" target="_blank">https://doi.org/10.1594/PANGAEA.745910</a>, 2006.
</mixed-citation></ref-html>
<ref-html id="bib1.bib46"><label>Lein et al.(2007)Lein, Bogdanova, Bogdanov, and
Magazina</label><mixed-citation>
Lein, A. Y., Bogdanova, O. Y., Bogdanov, Y. A., and Magazina, L. O.:
(Table 6) Isotopic composition of organic carbon from microbial communities
within the Lost City hydrothermal field, PANGAEA [data set],
<a href="https://doi.org/10.1594/PANGAEA.765164" target="_blank">https://doi.org/10.1594/PANGAEA.765164</a>, 2007.
</mixed-citation></ref-html>
<ref-html id="bib1.bib47"><label>Levin et al.(1989)Levin, Schuchard, Kromer, and
Münnich</label><mixed-citation>
Levin, I., Schuchard, J., Kromer, B., and Münnich, K. O.: The Continental
European Suess Effect, Radiocarbon, 31, 431–440,
<a href="https://doi.org/10.1017/s0033822200012017" target="_blank">https://doi.org/10.1017/s0033822200012017</a>, 1989.
</mixed-citation></ref-html>
<ref-html id="bib1.bib48"><label>Liu et al.(2021)Liu, Six, and Ilyina</label><mixed-citation>
Liu, B., Six, K. D., and Ilyina, T.: Incorporating the stable carbon isotope <sup>13</sup>C in the ocean biogeochemical component of the Max Planck Institute Earth System Model, Biogeosciences, 18, 4389–4429, <a href="https://doi.org/10.5194/bg-18-4389-2021" target="_blank">https://doi.org/10.5194/bg-18-4389-2021</a>, 2021.
</mixed-citation></ref-html>
<ref-html id="bib1.bib49"><label>Lorrain et al.(2020)</label><mixed-citation>
Lorrain, A., Pethybridge, H., Cassar, N., Receveur, A., Allain, V., Bodin, N.,
Bopp, L., Choy, C. A., Duffy, L., Fry, B., Goni, N., Graham, B. S., Hobday,
A. J., Logan, J. M., Ménard, F., Menkes, C. E., Olson, R. J., Pagendam,
D. E., Point, D., Revill, A. T., Somes, C. J., and Young, J. W.: Trends in
tuna carbon isotopes suggest global changes in pelagic phytoplankton
communities, Glob. Change Biol., 26, 458–470, <a href="https://doi.org/10.1111/gcb.14858" target="_blank">https://doi.org/10.1111/gcb.14858</a>,
2020.
</mixed-citation></ref-html>
<ref-html id="bib1.bib50"><label>MacKenzie et al.(2019)</label><mixed-citation>
MacKenzie, K. M., Robertson, D. R., Adams, J. N., Altieri, A. H., and
Turner, B. L.: Carbon and nitrogen stable isotope data from organisms in
the Bay of Panama ecosystem, PANGAEA [data set], <a href="https://doi.org/10.1594/PANGAEA.903842" target="_blank">https://doi.org/10.1594/PANGAEA.903842</a>,
2019.
</mixed-citation></ref-html>
<ref-html id="bib1.bib51"><label>Magozzi et al.(2017)Magozzi, Yool, Zanden, Wunder, and
Trueman</label><mixed-citation>
Magozzi, S., Yool, A., Zanden, H. B. V., Wunder, M. B., and Trueman, C. N.:
Using ocean models to predict spatial and temporal variation in marine carbon
isotopes, Ecosphere, 8, e01763, <a href="https://doi.org/10.1002/ecs2.1763" target="_blank">https://doi.org/10.1002/ecs2.1763</a>, 2017.​​​​​​​
</mixed-citation></ref-html>
<ref-html id="bib1.bib52"><label>McConnaughey and McRoy(1979)</label><mixed-citation>
McConnaughey, T. and McRoy, C. P.: Food-Web structure and the fractionation of Carbon isotopes in the bering sea, Mar. Biol., 53, 257–262,
<a href="https://doi.org/10.1007/bf00952434" target="_blank">https://doi.org/10.1007/bf00952434</a>, 1979.
</mixed-citation></ref-html>
<ref-html id="bib1.bib53"><label>Morée et al.(2018)</label><mixed-citation>
Morée, A. L., Schwinger, J., and Heinze, C.: Southern Ocean controls of the vertical marine <i>δ</i><sup>13</sup>C gradient – a modelling study, Biogeosciences, 15, 7205–7223, <a href="https://doi.org/10.5194/bg-15-7205-2018" target="_blank">https://doi.org/10.5194/bg-15-7205-2018</a>, 2018.
</mixed-citation></ref-html>
<ref-html id="bib1.bib54"><label>Ndeye et al.(2017)</label><mixed-citation>
Ndeye, M., Sène, M., Diop, D., and Saliège, J.-F.: Anthropogenic
CO<sub>2</sub> in the Dakar (Senegal) Urban Area Deduced from <sup>14</sup>C Concentration in
Tree Leaves, Radiocarbon, 59, 1009–1019, <a href="https://doi.org/10.1017/rdc.2017.48" target="_blank">https://doi.org/10.1017/rdc.2017.48</a>, 2017.
</mixed-citation></ref-html>
<ref-html id="bib1.bib55"><label>NOAA's Pacific Marine Environmental Laboratory(2020)</label><mixed-citation>
NOAA's Pacific Marine Environmental Laboratory: Ferret Support,
available at: <a href="http://ferret.pmel.noaa.gov/Ferret" target="_blank"/>, last access: 26 November 2020.
</mixed-citation></ref-html>
<ref-html id="bib1.bib56"><label>Popp et al.(1989)Popp, Takigiku, Hayes, Louda, and Baker</label><mixed-citation>
Popp, B. N., Takigiku, R., Hayes, J. M., Louda, J. W., and Baker, E. W.: The
post-palaeozoic chronology and mechanism of <sup>13</sup>C depletion in primary marine organic matter, Am. J. Sci., 289, 436–454, 1989.
</mixed-citation></ref-html>
<ref-html id="bib1.bib57"><label>Popp et al.(1998)</label><mixed-citation>
Popp, B. N., Laws, E. A., Bidigare, R. R., Dore, J. E., Hanson, K. L., and
Wakeham, S. G.: Effect of Phytoplankton Cell Geometry on Carbon Isotopic
Fractionation, Geochim. Cosmochim. Ac., 62, 69–77,
<a href="https://doi.org/10.1016/s0016-7037(97)00333-5" target="_blank">https://doi.org/10.1016/s0016-7037(97)00333-5</a>, 1998.
</mixed-citation></ref-html>
<ref-html id="bib1.bib58"><label>Rau et al.(1989)</label><mixed-citation>
Rau, G. H., Takahashi, T., and Des Marais, D. J.: Latitudinal variations in plankton <i>δ</i><sup>13</sup>C: implications for CO<sub>2</sub> and productivity in past oceans, Nature, 341, 516–518, <a href="https://doi.org/10.1038/341516a0" target="_blank">https://doi.org/10.1038/341516a0</a>, 1989.
</mixed-citation></ref-html>
<ref-html id="bib1.bib59"><label>Rau et al.(1996)</label><mixed-citation>
Rau, G. H., Riebesell, U., and Wolf-Gladrow, D.: A model of photosynthetic <sup>13</sup>C fractionation by marine phytoplankton based on diffusive molecular CO<sub>2</sub> uptake, Mar. Ecol. Prog. Ser., 133, 275–285, 1996.
</mixed-citation></ref-html>
<ref-html id="bib1.bib60"><label>Rounick and Winterbourn(1986)</label><mixed-citation>
Rounick, J. S. and Winterbourn, M. J.: Stable carbon isotopes and carbon flow
in ecosystems – Measuring <sup>13</sup>C to <sup>12</sup>C ratios can help to trace
carbon pathways, BioScience, 36, 171–177, <a href="https://doi.org/10.2307/1310304" target="_blank">https://doi.org/10.2307/1310304</a>, 1986.
</mixed-citation></ref-html>
<ref-html id="bib1.bib61"><label>Rubino et al.(2013)</label><mixed-citation>
Rubino, M., Etheridge, D. M., Trudinger, C. M., Allison, C. E., Battle, M. O., Langenfelds, R. L., Steele, L. P., Curran, M., Bender, M., White, J. W. C., Jenk, T. M., Blunier, T., and Francey, R. J.: A revised
1000 year atmospheric <i>δ</i><sup>13</sup>C-CO<sub>2</sub> record from Law
Dome and South Pole, Antarctica, J. Geophys. Res.-Atmos., 118, 8482–8499, <a href="https://doi.org/10.1002/jgrd.50668" target="_blank">https://doi.org/10.1002/jgrd.50668</a>, 2013.
</mixed-citation></ref-html>
<ref-html id="bib1.bib62"><label>Sacket et al.(1965)Sacket, Eckelmann, Bender, and Bé</label><mixed-citation>
Sacket, W. M., Eckelmann, W. R., Bender, M. L., and Bé, A. W. H.:
Temperature Dependence of Carbon Isotope Composition in Marine Plankton and
Sediments, Science, 148, 235–237, <a href="https://doi.org/10.1126/science.148.3667.235" target="_blank">https://doi.org/10.1126/science.148.3667.235</a>, 1965.
</mixed-citation></ref-html>
<ref-html id="bib1.bib63"><label>Saupe et al.(1989)Saupe, Schell, and Griffiths</label><mixed-citation>
Saupe, S. M., Schell, D. M., and Griffiths, W. B.: Carbon-isotope ratio
gradients in western arctic zooplankton, Mar. Biol., 103, 427–432,
<a href="https://doi.org/10.1007/BF00399574" target="_blank">https://doi.org/10.1007/BF00399574</a>, 1989.
</mixed-citation></ref-html>
<ref-html id="bib1.bib64"><label>Schmittner and Somes(2016)</label><mixed-citation>
Schmittner, A. and Somes, C. J.: Complementary constraints from carbon
(<sup>13</sup>C) and nitrogen (<sup>15</sup>N) isotopes on the glacial ocean's
soft-tissue biological pump, Paleoceanography, 31, 669–693,
<a href="https://doi.org/10.1002/2015PA002905" target="_blank">https://doi.org/10.1002/2015PA002905</a>, 2016.
</mixed-citation></ref-html>
<ref-html id="bib1.bib65"><label>Schmittner et al.(2013)</label><mixed-citation>
Schmittner, A., Gruber, N., Mix, A. C., Key, R. M., Tagliabue, A., and Westberry, T. K.: Biology and air–sea gas exchange controls on the distribution of carbon isotope ratios (<i>δ</i><sup>13</sup>C) in the ocean, Biogeosciences, 10, 5793–5816, <a href="https://doi.org/10.5194/bg-10-5793-2013" target="_blank">https://doi.org/10.5194/bg-10-5793-2013</a>, 2013.
</mixed-citation></ref-html>
<ref-html id="bib1.bib66"><label>Silverman(1986)</label><mixed-citation>
Silverman, B. W.: Density Estimation for Statistics and Data Analysis,
Monographs on Statistics and Applied Probability, Chapman and Hall, London, UK, 1986.
</mixed-citation></ref-html>
<ref-html id="bib1.bib67"><label>Suess(1980)</label><mixed-citation>
Suess, E.: Particulate organic carbon flux in the oceans–surface productivity
and oxygen utilization, Nature, 288, 260–263, 1980.
</mixed-citation></ref-html>
<ref-html id="bib1.bib68"><label>Tagliabue and Bopp(2008)</label><mixed-citation>
Tagliabue, A. and Bopp, L.: Towards understanding global variability in ocean
carbon-13, Global Biogeochem. Cy., 22, GB1025,
<a href="https://doi.org/10.1029/2007gb003037" target="_blank">https://doi.org/10.1029/2007gb003037</a>, 2008.
</mixed-citation></ref-html>
<ref-html id="bib1.bib69"><label>Thiede et al.(1988)</label><mixed-citation>
Thiede, J., Gerlach, S. A., Altenbach, A., and Henrich, R.: Sedimentation im
europaeischen Nordmeer – Organisation und Forschungsprogramm des
Sonderforschungsbereiches 313 fuer den Zeitraum 1988–1990, Tech. rep., Kiel University, Kiel, Germany, 1988.
</mixed-citation></ref-html>
<ref-html id="bib1.bib70"><label>Tjiputra et al.(2020)</label><mixed-citation>
Tjiputra, J. F., Schwinger, J., Bentsen, M., Morée, A. L., Gao, S., Bethke, I., Heinze, C., Goris, N., Gupta, A., He, Y.-C., Olivié, D., Seland, Ø., and Schulz, M.: Ocean biogeochemistry in the Norwegian Earth System Model version 2 (NorESM2), Geosci. Model Dev., 13, 2393–2431, <a href="https://doi.org/10.5194/gmd-13-2393-2020" target="_blank">https://doi.org/10.5194/gmd-13-2393-2020</a>, 2020.
</mixed-citation></ref-html>
<ref-html id="bib1.bib71"><label>Trull and Armand(2001)</label><mixed-citation>
Trull, T. W. and Armand, L. K.: Insights into Southern Ocean carbon export from the <i>δ</i><sup>13</sup>C of particles and dissolved inorganic carbon during the SOIREE iron release experiment, Deep-Sea Res. Pt. II, 48, 2655–2680, <a href="https://doi.org/10.1016/S0967-0645(01)00013-3" target="_blank">https://doi.org/10.1016/S0967-0645(01)00013-3</a>, 2001.
</mixed-citation></ref-html>
<ref-html id="bib1.bib72"><label>Trull and Armand(2013a)</label><mixed-citation>
Trull, T. W. and Armand, L. K.: <i>δ</i><sup>13</sup>C content of
particulate organic carbon measured on samples from traps during TANGAROA
cruise SOIREE, PANGAEA [data set], <a href="https://doi.org/10.1594/PANGAEA.807904" target="_blank">https://doi.org/10.1594/PANGAEA.807904</a>, 2013a.
</mixed-citation></ref-html>
<ref-html id="bib1.bib73"><label>Trull and Armand(2013b)</label><mixed-citation>
Trull, T. W. and Armand, L. K.: <i>δ</i><sup>13</sup>C content of
fractionated particulate organic carbon measured on samples from traps during
TANGAROA cruise SOIREE, PANGAEA [data set], <a href="https://doi.org/10.1594/PANGAEA.807906" target="_blank">https://doi.org/10.1594/PANGAEA.807906</a>, 2013b.

</mixed-citation></ref-html>
<ref-html id="bib1.bib74"><label>Tuerena et al.(2019)</label><mixed-citation>
Tuerena, R. E., Ganeshram, R. S., Humphreys, M. P., Browning, T. J., Bouman, H., and Piotrowski, A. P.: Isotopic fractionation of carbon during uptake by phytoplankton across the South Atlantic subtropical convergence, Biogeosciences, 16, 3621–3635, <a href="https://doi.org/10.5194/bg-16-3621-2019" target="_blank">https://doi.org/10.5194/bg-16-3621-2019</a>, 2019.
</mixed-citation></ref-html>
<ref-html id="bib1.bib75"><label>Verwega et al.(2021)</label><mixed-citation>
Verwega, M.-T., Somes, C. J., Tuerena, R. E., and Lorrain, A.: A
global marine particulate organic carbon-13 isotope data product, PANGAEA [data set], <a href="https://doi.org/10.1594/PANGAEA.929931" target="_blank">https://doi.org/10.1594/PANGAEA.929931</a>, 2021.
</mixed-citation></ref-html>
<ref-html id="bib1.bib76"><label>Virtanen et al.(2020)</label><mixed-citation>
Virtanen, P., Gommers, R., Oliphant, T. E., Haberland, M., Reddy, T.,
Cournapeau, D., Burovski, E., Peterson, P., Weckesser, W., Bright, J., van
der Walt, S. J., Brett, M., Wilson, J., Millman, K. J., Mayorov, N., Nelson,
A. R. J., Jones, E., Kern, R., Larson, E., Carey, C. J., Polat, İ., Feng,
Y., Moore, E. W., VanderPlas, J., Laxalde, D., Perktold, J., Cimrman, R.,
Henriksen, I., Quintero, E. A., Harris, C. R., Archibald, A. M., Ribeiro,
A. H., Pedregosa, F., van Mulbregt, P., and SciPy 1.0 Contributors:
SciPy 1.0: Fundamental Algorithms for Scientific Computing in Python,
Nat. Methods, 17, 261–272, <a href="https://doi.org/10.1038/s41592-019-0686-2" target="_blank">https://doi.org/10.1038/s41592-019-0686-2</a>, 2020.
</mixed-citation></ref-html>
<ref-html id="bib1.bib77"><label>Volk and Hoffert(1985)</label><mixed-citation>
Volk, T. and Hoffert, M. I.: Ocean carbon pumps: analysis of relative strengths and efficiencies in ocean-driven atmospheric CO<sub>2</sub> changes,
American Geophysical Union; Geophysical Monograph, 32, 99–110, 1985.
</mixed-citation></ref-html>
<ref-html id="bib1.bib78"><label>Voss and von Bodungen(2003)</label><mixed-citation>
Voss, M. and von Bodungen, B.: Carbon and nitrogen from mooring NB2, PANGAEA [data set], <a href="https://doi.org/10.1594/PANGAEA.106805" target="_blank">https://doi.org/10.1594/PANGAEA.106805</a>, 2003.
</mixed-citation></ref-html>
<ref-html id="bib1.bib79"><label>Wada et al.(1987)</label><mixed-citation>
Wada, E., Terazaki, M., Kabaya, Y., and Nemoto, T.: <sup>15</sup>N and <sup>13</sup>C
abundances in the Antarctic Ocean with emphasis on the biogeochemical
structure of the food web, Deep-Sea Res., 34, 829–841, <a href="https://doi.org/10.1016/0198-0149(87)90039-2" target="_blank">https://doi.org/10.1016/0198-0149(87)90039-2</a>, 1987.
</mixed-citation></ref-html>
<ref-html id="bib1.bib80"><label>Westerhausen and Sarnthein(2003)</label><mixed-citation>
Westerhausen, L. and Sarnthein, M.: <i>δ</i><sup>13</sup>C of plankton from
surface water (Table A2), PANGAEA [data set], <a href="https://doi.org/10.1594/PANGAEA.89388" target="_blank">https://doi.org/10.1594/PANGAEA.89388</a>, 2003.
</mixed-citation></ref-html>
<ref-html id="bib1.bib81"><label>Young et al.(2013)</label><mixed-citation>
Young, J. N., Bruggeman, J., Rickaby, R. E. M., Erez, J., and Conte, M.:
Evidence for changes in carbon isotopic fractionation by phytoplankton
between 1960 and 2010, Global Biogeochem. Cy., 27, 505–515,
<a href="https://doi.org/10.1002/gbc.20045" target="_blank">https://doi.org/10.1002/gbc.20045</a>, 2013.
</mixed-citation></ref-html>
<ref-html id="bib1.bib82"><label>Zeebe and Wolf-Gladrow(2001)</label><mixed-citation>
Zeebe, R. E. and Wolf-Gladrow, D.: CO<sub>2</sub> in Seawater: Equilibrium, Kinetics, Isotopes, Elsevier Science B.V., Elsevier Oceanography Series, Amsterdam, the Netherlands, 65, 2001.
</mixed-citation></ref-html>
<ref-html id="bib1.bib83"><label>Zhang et al.(1995)</label><mixed-citation>
Zhang, J., Quay, P., and Wilbur, D.: Carbon isotope fractionation during
gas-water exchange and dissolution of CO2, Geochim. Cosmochim. Ac.,
59, 107–114, <a href="https://doi.org/10.1016/0016-7037(95)91550-d" target="_blank">https://doi.org/10.1016/0016-7037(95)91550-d</a>, 1995.
</mixed-citation></ref-html>--></article>
