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  <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-17-6557-2025</article-id><title-group><article-title>Global emissions and abundances of chemically and radiatively important trace gases from the AGAGE network</article-title><alt-title>Global emissions and abundances from the AGAGE network</alt-title>
      </title-group>
      <contrib-group>
        <contrib contrib-type="author" corresp="yes" rid="aff1 aff2">
          <name><surname>Western</surname><given-names>Luke M.</given-names></name>
          <email>lwestern@mit.edu</email>
        <ext-link>https://orcid.org/0000-0002-0043-711X</ext-link></contrib>
        <contrib contrib-type="author" corresp="no" rid="aff1">
          <name><surname>Rigby</surname><given-names>Matthew</given-names></name>
          
        <ext-link>https://orcid.org/0000-0002-2020-9253</ext-link></contrib>
        <contrib contrib-type="author" corresp="no" rid="aff3">
          <name><surname>Mühle</surname><given-names>Jens</given-names></name>
          
        <ext-link>https://orcid.org/0000-0001-9776-3642</ext-link></contrib>
        <contrib contrib-type="author" corresp="no" rid="aff4">
          <name><surname>Krummel</surname><given-names>Paul B.</given-names></name>
          
        <ext-link>https://orcid.org/0000-0002-4884-3678</ext-link></contrib>
        <contrib contrib-type="author" corresp="no" rid="aff5">
          <name><surname>Lunder</surname><given-names>Chris R.</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff1">
          <name><surname>O'Doherty</surname><given-names>Simon</given-names></name>
          
        <ext-link>https://orcid.org/0000-0002-4051-6760</ext-link></contrib>
        <contrib contrib-type="author" corresp="no" rid="aff6">
          <name><surname>Reimann</surname><given-names>Stefan</given-names></name>
          
        <ext-link>https://orcid.org/0000-0002-9885-7138</ext-link></contrib>
        <contrib contrib-type="author" corresp="no" rid="aff6">
          <name><surname>Vollmer</surname><given-names>Martin K.</given-names></name>
          
        <ext-link>https://orcid.org/0000-0001-5569-9718</ext-link></contrib>
        <contrib contrib-type="author" corresp="no" rid="aff1">
          <name><surname>Young</surname><given-names>Dickon</given-names></name>
          
        <ext-link>https://orcid.org/0000-0002-6723-3138</ext-link></contrib>
        <contrib contrib-type="author" corresp="no" rid="aff1">
          <name><surname>Adam</surname><given-names>Ben</given-names></name>
          
        <ext-link>https://orcid.org/0009-0004-9060-0612</ext-link></contrib>
        <contrib contrib-type="author" corresp="no" rid="aff4">
          <name><surname>Fraser</surname><given-names>Paul J.</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff7">
          <name><surname>Ganesan</surname><given-names>Anita L.</given-names></name>
          
        <ext-link>https://orcid.org/0000-0001-5715-8923</ext-link></contrib>
        <contrib contrib-type="author" corresp="no" rid="aff3">
          <name><surname>Harth</surname><given-names>Christina M.</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff5">
          <name><surname>Hermansen</surname><given-names>Ove</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff3">
          <name><surname>Kim</surname><given-names>Jooil</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff4">
          <name><surname>Langenfelds</surname><given-names>Ray L.</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff4">
          <name><surname>Loh</surname><given-names>Zoë M.</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff4">
          <name><surname>Mitrevski</surname><given-names>Blagoj</given-names></name>
          
        <ext-link>https://orcid.org/0000-0001-7534-0083</ext-link></contrib>
        <contrib contrib-type="author" corresp="no" rid="aff1">
          <name><surname>Pitt</surname><given-names>Joseph R.</given-names></name>
          
        <ext-link>https://orcid.org/0000-0002-8660-5136</ext-link></contrib>
        <contrib contrib-type="author" corresp="no" rid="aff8">
          <name><surname>Salameh</surname><given-names>Peter K.</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff3">
          <name><surname>Schmidt</surname><given-names>Roland</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff1">
          <name><surname>Stanley</surname><given-names>Kieran</given-names></name>
          
        <ext-link>https://orcid.org/0000-0003-3388-0932</ext-link></contrib>
        <contrib contrib-type="author" corresp="no" rid="aff4">
          <name><surname>Stavert</surname><given-names>Ann R.</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff9">
          <name><surname>Wang</surname><given-names>Hsiang-Jui</given-names></name>
          
        <ext-link>https://orcid.org/0000-0002-1550-3239</ext-link></contrib>
        <contrib contrib-type="author" corresp="no" rid="aff3">
          <name><surname>Weiss</surname><given-names>Ray F.</given-names></name>
          
        <ext-link>https://orcid.org/0000-0001-9551-7739</ext-link></contrib>
        <contrib contrib-type="author" corresp="no" rid="aff2">
          <name><surname>Prinn</surname><given-names>Ronald G.</given-names></name>
          
        </contrib>
        <aff id="aff1"><label>1</label><institution>School of Chemistry, University of Bristol, Bristol, UK</institution>
        </aff>
        <aff id="aff2"><label>2</label><institution>Center for Sustainability Science and Strategy, Massachusetts Institute of Technology, Cambridge, MA, USA</institution>
        </aff>
        <aff id="aff3"><label>3</label><institution>Scripps Institution of Oceanography, University of California San Diego, La Jolla, CA, USA</institution>
        </aff>
        <aff id="aff4"><label>4</label><institution>CSIRO Environment, Aspendale, VIC, Australia</institution>
        </aff>
        <aff id="aff5"><label>5</label><institution>NILU, Kjeller, Norway</institution>
        </aff>
        <aff id="aff6"><label>6</label><institution>Empa, Laboratory for Air Pollution/Environmental Technology, Dübendorf, Switzerland</institution>
        </aff>
        <aff id="aff7"><label>7</label><institution>School of Geographical Sciences, University of Bristol, Bristol, UK</institution>
        </aff>
        <aff id="aff8"><label>8</label><institution>GC Soft Inc., Carlsbad, CA, USA</institution>
        </aff>
        <aff id="aff9"><label>9</label><institution>School of Earth and Atmospheric Sciences, Georgia Institute of Technology, Atlanta, GA, USA</institution>
        </aff>
      </contrib-group>
      <author-notes><corresp id="corr1">Luke M. Western (lwestern@mit.edu)</corresp></author-notes><pub-date><day>27</day><month>November</month><year>2025</year></pub-date>
      
      <volume>17</volume>
      <issue>11</issue>
      <fpage>6557</fpage><lpage>6582</lpage>
      <history>
        <date date-type="received"><day>13</day><month>June</month><year>2025</year></date>
           <date date-type="rev-request"><day>26</day><month>June</month><year>2025</year></date>
           <date date-type="rev-recd"><day>25</day><month>September</month><year>2025</year></date>
           <date date-type="accepted"><day>7</day><month>October</month><year>2025</year></date>
      </history>
      <permissions>
        <copyright-statement>Copyright: © 2025 Luke M. Western et al.</copyright-statement>
        <copyright-year>2025</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/17/6557/2025/essd-17-6557-2025.html">This article is available from https://essd.copernicus.org/articles/17/6557/2025/essd-17-6557-2025.html</self-uri><self-uri xlink:href="https://essd.copernicus.org/articles/17/6557/2025/essd-17-6557-2025.pdf">The full text article is available as a PDF file from https://essd.copernicus.org/articles/17/6557/2025/essd-17-6557-2025.pdf</self-uri>
      <abstract><title>Abstract</title>

      <p id="d2e367">Measurements from the Advanced Global Atmospheric Gases Experiment (AGAGE) combined with a global 12-box model of the atmosphere have long been used to estimate global emissions and surface mean mole fraction trends of atmospheric trace gases. Here, we present annually updated estimates of these global emissions and mole fraction trends for 42 compounds through 2023 measured by the AGAGE network, including chlorofluorocarbons, hydrochlorofluorocarbons, hydrofluorocarbons, perfluorocarbons, sulfur hexafluoride, nitrogen trifluoride, methane, nitrous oxide, and selected other compounds. The data sets are available at <ext-link xlink:href="https://doi.org/10.5281/zenodo.15372480" ext-link-type="DOI">10.5281/zenodo.15372480</ext-link> <xref ref-type="bibr" rid="bib1.bibx141" id="paren.1"/>. We describe the methodology to derive global mole fraction and emissions trends, which includes the calculation of semihemispheric monthly mean mole fractions, the mechanics of the 12-box model and the inverse method that is used to estimate emissions from the observations and model. Finally, we present examples of the emissions and mole fraction data sets for the 42 compounds.</p>
  </abstract>
    
<funding-group>
<award-group id="gs1">
<funding-source>National Aeronautics and Space Administration</funding-source>
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</award-group>
<award-group id="gs2">
<funding-source>Department for Energy Security and Net Zero</funding-source>
<award-id>1028/06/2015</award-id>
<award-id>1537/06/2018</award-id>
<award-id>5488/11/2021</award-id>
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<funding-source>National Oceanic and Atmospheric Administration</funding-source>
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</award-group>
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<funding-source>Commonwealth Scientific and Industrial Research Organisation</funding-source>
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<award-group id="gs5">
<funding-source>Bureau of Meteorology, Australian Government</funding-source>
<award-id>N/A</award-id>
</award-group>
<award-group id="gs6">
<funding-source>Department of Climate Change, Energy, the Environment and Water</funding-source>
<award-id>N/A</award-id>
</award-group>
<award-group id="gs7">
<funding-source>Bundesbehörden der Schweizerischen Eidgenossenschaft</funding-source>
<award-id>HALCLIM</award-id>
<award-id>CLIMGAS-CH</award-id>
</award-group>
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<funding-source>European Commission</funding-source>
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<funding-source>Miljødirektoratet</funding-source>
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  </front>
<body>
      

<sec id="Ch1.S1" sec-type="intro">
  <label>1</label><title>Introduction</title>
      <p id="d2e385">Quantifying the global emissions of halogenated and other long-lived radiatively and chemically important trace gases is crucial for estimating their environmental impacts, such as depletion of the stratospheric ozone layer, and contributions to radiative forcing. Chlorofluorocarbons (CFCs), halons, and the solvents carbon tetrachloride (CCl<sub>4</sub>) and methyl chloroform (CH<sub>3</sub>CCl<sub>3</sub>) are trace gases that have been phased out for emissive use under the Montreal Protocol on Substances that Deplete the Ozone Layer. Emissions of these gases persist because they are still contained within appliances, foams, and other applications, produced before their phase out, and continue to leak into the atmosphere. In some cases, production is ongoing because of their exempted production for chemical manufacture. Some of these substances remain in the atmosphere for years to centuries after they are emitted, owing to their long atmospheric lifetimes. Where non-ozone-depleting alternatives could not immediately be found, these gases were replaced by hydrochlorofluorocarbons (HCFCs), which are currently being phased out under the Montreal Protocol. HCFCs are in turn being replaced by hydrofluorocarbons (HFCs). While HFC do not deplete ozone, they have large global warming potentials, much like the ozone-depleting substances that they replaced. As a result, the production of HFCs is now being phased down under the Kigali Amendment to the Montreal Protocol. Chlorinated very short-lived substances (Cl-VSLS), with atmospheric lifetimes less than around six months, and some halomethanes, with both natural and anthropogenic sources, are not controlled under the Montreal Protocol and may present a threat to ozone layer recovery. Collectively, the controlled and uncontrolled ozone-depleting substances are responsible for almost all of the anthropogenic chlorine and bromine input to the stratosphere. There are a number of non-ozone depleting fluorocarbons that have extremely large global warming potentials, such as perfluorocarbons (PFCs), sulfur hexafluoride (SF<sub>6</sub>) and nitrogen trifluoride (NF<sub>3</sub>), and are almost entirely industrially produced. Halogenated substances, along with methane (CH<sub>4</sub>), which critically affects the oxidative capacity of the atmosphere, and nitrous oxide (N<sub>2</sub>O), which is also an ozone-depleting substance, are responsible for almost all the gaseous radiative forcing from anthropogenic sources beyond that of carbon dioxide. As a result, monitoring of these gases is crucial to understand the state of the atmosphere.</p>
      <p id="d2e452">The Advanced Global Atmospheric Gases Experiment <xref ref-type="bibr" rid="bib1.bibx82 bib1.bibx84" id="paren.2"><named-content content-type="pre">AGAGE,</named-content></xref> network publicly releases measurements of the dry-air mole fractions of 45 atmospheric compounds <xref ref-type="bibr" rid="bib1.bibx77" id="paren.3"/>. Measurements made through AGAGE and its predecessors (see Sect. <xref ref-type="sec" rid="Ch1.S2"/>) were initially used to derive atmospheric lifetimes of CFC-11, CFC-12 <xref ref-type="bibr" rid="bib1.bibx14" id="paren.4"/> and other trace gases, <xref ref-type="bibr" rid="bib1.bibx79 bib1.bibx81 bib1.bibx83 bib1.bibx96 bib1.bibx120" id="paren.5"><named-content content-type="pre">e.g.,</named-content></xref>. However, the predominant use of AGAGE measurements currently is to estimate global emissions and mole fraction trends over time (Sect. <xref ref-type="sec" rid="Ch1.S4"/>). Here, we present global emissions and derived mole fraction trends for 42 trace gases (Table <xref ref-type="table" rid="T1"/>), inferred from AGAGE measurements and a 12-box model of the atmosphere (estimates are not provided for hydrogen, carbon monoxide and trichloroethene). We refer to these quantities as AGAGE-derived products, which are available at <ext-link xlink:href="https://doi.org/10.5281/zenodo.15372480" ext-link-type="DOI">10.5281/zenodo.15372480</ext-link> <xref ref-type="bibr" rid="bib1.bibx141" id="paren.6"/>. The primary purpose of this article is to describe the methodology underpinning these AGAGE-derived products.</p>

<table-wrap id="T1" specific-use="star"><label>Table 1</label><caption><p id="d2e487">Compounds measured by the AGAGE network for which emissions and atmospheric mole fraction trends are estimated.</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">Common Name</oasis:entry>
         <oasis:entry colname="col2">Chemical Formula</oasis:entry>
         <oasis:entry colname="col3">Common Name</oasis:entry>
         <oasis:entry colname="col4">Chemical Formula</oasis:entry>
       </oasis:row>
     </oasis:thead>
     <oasis:tbody>
       <oasis:row>
         <oasis:entry colname="col1">PFC-14</oasis:entry>
         <oasis:entry colname="col2">CF<sub>4</sub></oasis:entry>
         <oasis:entry colname="col3">HCFC-124</oasis:entry>
         <oasis:entry colname="col4">CHClFCF<sub>3</sub></oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">PFC-116</oasis:entry>
         <oasis:entry colname="col2">C<sub>2</sub>F<sub>6</sub></oasis:entry>
         <oasis:entry colname="col3">HCFC-132b</oasis:entry>
         <oasis:entry colname="col4">CH<sub>2</sub>ClCClF<sub>2</sub></oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">PFC-218</oasis:entry>
         <oasis:entry colname="col2">C<sub>3</sub>F<sub>8</sub></oasis:entry>
         <oasis:entry colname="col3">HCFC-133a</oasis:entry>
         <oasis:entry colname="col4">CH<sub>2</sub>ClCF<sub>3</sub></oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">PFC-318</oasis:entry>
         <oasis:entry colname="col2"><italic>c</italic>-C<sub>4</sub>F<sub>8</sub></oasis:entry>
         <oasis:entry colname="col3">CFC-11</oasis:entry>
         <oasis:entry colname="col4">CCl<sub>3</sub>F</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Sulfur Hexafluoride</oasis:entry>
         <oasis:entry colname="col2">SF<sub>6</sub></oasis:entry>
         <oasis:entry colname="col3">CFC-12</oasis:entry>
         <oasis:entry colname="col4">CCl<sub>2</sub>F<sub>2</sub></oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Sulfuryl Fluoride</oasis:entry>
         <oasis:entry colname="col2">SO<sub>2</sub>F<sub>2</sub></oasis:entry>
         <oasis:entry colname="col3">CFC-13</oasis:entry>
         <oasis:entry colname="col4">CClF<sub>3</sub></oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Nitrogen Trifluoride</oasis:entry>
         <oasis:entry colname="col2">NF<sub>3</sub></oasis:entry>
         <oasis:entry colname="col3">CFC-113/a<sup>1</sup></oasis:entry>
         <oasis:entry colname="col4">C<sub>2</sub>Cl<sub>3</sub>F<sub>3</sub></oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">HFC-23</oasis:entry>
         <oasis:entry colname="col2">CHF<sub>3</sub></oasis:entry>
         <oasis:entry colname="col3">CFC-114/a<sup>2</sup></oasis:entry>
         <oasis:entry colname="col4">C<sub>2</sub>Cl<sub>2</sub>F<sub>4</sub></oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">HFC-32</oasis:entry>
         <oasis:entry colname="col2">CH<sub>2</sub>F<sub>2</sub></oasis:entry>
         <oasis:entry colname="col3">CFC-115</oasis:entry>
         <oasis:entry colname="col4">CClF<sub>2</sub>CF<sub>3</sub></oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">HFC-134a</oasis:entry>
         <oasis:entry colname="col2">CH<sub>2</sub>FCF<sub>3</sub></oasis:entry>
         <oasis:entry colname="col3">Halon-1211</oasis:entry>
         <oasis:entry colname="col4">CBrClF<sub>2</sub></oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">HFC-152a</oasis:entry>
         <oasis:entry colname="col2">CH<sub>3</sub>CHF<sub>2</sub></oasis:entry>
         <oasis:entry colname="col3">Halon-1301</oasis:entry>
         <oasis:entry colname="col4">CBrF<sub>3</sub></oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">HFC-125</oasis:entry>
         <oasis:entry colname="col2">CHF<sub>2</sub>CF<sub>3</sub></oasis:entry>
         <oasis:entry colname="col3">Halon-2402</oasis:entry>
         <oasis:entry colname="col4">CBrF<sub>2</sub>CBrF<sub>2</sub></oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">HFC-143a</oasis:entry>
         <oasis:entry colname="col2">CH<sub>3</sub>CF<sub>3</sub></oasis:entry>
         <oasis:entry colname="col3">Methyl Chloride</oasis:entry>
         <oasis:entry colname="col4">CH<sub>3</sub>Cl</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">HFC-227ea</oasis:entry>
         <oasis:entry colname="col2">CF<sub>3</sub>CHFCF<sub>3</sub></oasis:entry>
         <oasis:entry colname="col3">Methyl Bromide</oasis:entry>
         <oasis:entry colname="col4">CH<sub>3</sub>Br</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">HFC-236fa</oasis:entry>
         <oasis:entry colname="col2">CF<sub>3</sub>CH<sub>2</sub>CF<sub>3</sub></oasis:entry>
         <oasis:entry colname="col3">Dichloromethane</oasis:entry>
         <oasis:entry colname="col4">CH<sub>2</sub>Cl<sub>2</sub></oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">HFC-245fa</oasis:entry>
         <oasis:entry colname="col2">CHF<sub>2</sub>CH<sub>2</sub>CF<sub>3</sub></oasis:entry>
         <oasis:entry colname="col3">Chloroform</oasis:entry>
         <oasis:entry colname="col4">CHCl<sub>3</sub></oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">HFC-365mfc</oasis:entry>
         <oasis:entry colname="col2">CH<sub>3</sub>CF<sub>2</sub>CH<sub>2</sub>CF<sub>3</sub></oasis:entry>
         <oasis:entry colname="col3">Carbon Tetrachloride</oasis:entry>
         <oasis:entry colname="col4">CCl<sub>4</sub></oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">HFC-43-10mee</oasis:entry>
         <oasis:entry colname="col2">CF<sub>3</sub>(CHF)<sub>2</sub>CF<sub>2</sub>CF<sub>3</sub></oasis:entry>
         <oasis:entry colname="col3">Methyl Chloroform</oasis:entry>
         <oasis:entry colname="col4">CH<sub>3</sub>CCl<sub>3</sub></oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">HCFC-22</oasis:entry>
         <oasis:entry colname="col2">CHClF<sub>2</sub></oasis:entry>
         <oasis:entry colname="col3">Perchloroethylene (PCE)</oasis:entry>
         <oasis:entry colname="col4">CCl<sub>2</sub>=CCl<sub>2</sub></oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">HCFC-141b</oasis:entry>
         <oasis:entry colname="col2">CH<sub>3</sub>CCl<sub>2</sub>F</oasis:entry>
         <oasis:entry colname="col3">Methane</oasis:entry>
         <oasis:entry colname="col4">CH<sub>4</sub></oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">HCFC-142b</oasis:entry>
         <oasis:entry colname="col2">CH<sub>3</sub>CClF<sub>2</sub></oasis:entry>
         <oasis:entry colname="col3">Nitrous Oxide</oasis:entry>
         <oasis:entry colname="col4">N<sub>2</sub>O</oasis:entry>
       </oasis:row>
     </oasis:tbody>
   </oasis:tgroup></oasis:table><table-wrap-foot><p id="d2e490"><sup>1</sup> CFC-113/a is a composite of the isomers CFC-113 (CClF<sub>2</sub>CCl<sub>2</sub>F) and CFC-113a (CCl<sub>3</sub>CF<sub>3</sub>). However, the contribution of each isomer to the total mole fraction is not yet well understood. <sup>2</sup>  CFC-114/a is a composite of the isomers CFC-114 (CClF<sub>2</sub>CClF<sub>2</sub>) and CFC-114a (CCl<sub>2</sub>FCF<sub>3</sub>). As footnote<sup>1</sup>.</p></table-wrap-foot></table-wrap>

      <p id="d2e1611">Global emissions and mole fraction trends are derived using AGAGE measurements coupled with a two-dimensional 12-box model of the atmosphere <xref ref-type="bibr" rid="bib1.bibx14 bib1.bibx15 bib1.bibx96" id="paren.7"/>. This is in contrast to inventory methods, or bottom-up methods, using activity data and emission factors, which can quantify expected emissions. The estimated emissions presented here, also known as top-down emissions, are inferred from measured mole fractions. The modelled global and semihemispheric mole fractions presented (see Sect. <xref ref-type="sec" rid="Ch1.S5"/>) are also inferred using measurements. The reason for inferring the mole fractions, rather than directly using the measurements themselves, is primarily so that mole fractions can be inferred during times where no measurements are available, e.g., due to instrument downtime.</p>
      <p id="d2e1619">AGAGE-derived products of ozone-depleting substances (ODSs) and greenhouse gases (GHGs) have been used in the Scientific Assessments of Ozone Depletion of the World Meteorological Organisation (WMO) <xref ref-type="bibr" rid="bib1.bibx18 bib1.bibx41 bib1.bibx42 bib1.bibx16" id="paren.8"><named-content content-type="pre">e.g.,</named-content></xref> and in the Assessment Reports of the Intergovernmental Panel on Climate Change <xref ref-type="bibr" rid="bib1.bibx34 bib1.bibx29" id="paren.9"><named-content content-type="pre">e.g.,</named-content></xref>. Emission estimates using AGAGE measurements have been published in many research articles. Some recent notable outputs are the identification of excess CFC-11 emissions in eastern China after its global production phaseout <xref ref-type="bibr" rid="bib1.bibx61 bib1.bibx99 bib1.bibx75" id="paren.10"/>, of discrepancies in reported abatement and estimated global and Chinese HFC-23 emissions <xref ref-type="bibr" rid="bib1.bibx116 bib1.bibx1" id="paren.11"/>, of a rapid increase in unregulated global and Chinese chloroform emissions <xref ref-type="bibr" rid="bib1.bibx20" id="paren.12"/>, and of increases in ODS emissions used as feedstock after their phase-out for dispersive uses <xref ref-type="bibr" rid="bib1.bibx44 bib1.bibx132 bib1.bibx138" id="paren.13"/>. Emission estimates from the AGAGE network have exposed various unusual or rapidly increasing trends in ODSs <xref ref-type="bibr" rid="bib1.bibx130 bib1.bibx43 bib1.bibx131 bib1.bibx112 bib1.bibx132 bib1.bibx2 bib1.bibx137 bib1.bibx3" id="paren.14"><named-content content-type="pre">e.g.,</named-content></xref> and halogenated GHGs <xref ref-type="bibr" rid="bib1.bibx63 bib1.bibx56 bib1.bibx64 bib1.bibx93 bib1.bibx127 bib1.bibx6 bib1.bibx46 bib1.bibx74 bib1.bibx111 bib1.bibx22 bib1.bibx113 bib1.bibx114 bib1.bibx66" id="paren.15"/>. AGAGE measurements have also been used to identify several compounds in the atmosphere for the first time and to quantify their associated emissions <xref ref-type="bibr" rid="bib1.bibx136 bib1.bibx63 bib1.bibx105 bib1.bibx128 bib1.bibx129 bib1.bibx133 bib1.bibx134" id="paren.16"><named-content content-type="pre">e.g.,</named-content></xref>.</p>
      <p id="d2e1658">We describe the AGAGE measurements used to derive the derived products in Sect. <xref ref-type="sec" rid="Ch1.S2"/>, the AGAGE 12-box model in Sect. <xref ref-type="sec" rid="Ch1.S3"/>, and the inverse framework in Sect. <xref ref-type="sec" rid="Ch1.S4"/>. A brief description of the contents of the AGAGE derived products is provided in Sect. <xref ref-type="sec" rid="Ch1.S5"/>. The atmospheric budgets derived from the products through 2023 are then presented in Sect. <xref ref-type="sec" rid="Ch1.S6"/>. Finally, limitations are outlined in Sect. <xref ref-type="sec" rid="Ch1.S7"/> and a brief summary is given in Sect. <xref ref-type="sec" rid="Ch1.S9"/>.</p>
</sec>
<sec id="Ch1.S2">
  <label>2</label><title>Measurements</title>
      <p id="d2e1684">The AGAGE network and its two predecessors have been measuring the atmospheric abundance of trace gases since 1978 (Atmospheric Lifetime Experiment, ALE: 1978–1981; Global Atmospheric Gases Experiment, GAGE: 1982–1992; AGAGE: since 1993). A complete description of the measurements made by the AGAGE network and its two predecessors is given by <xref ref-type="bibr" rid="bib1.bibx80" id="text.17"/>, <xref ref-type="bibr" rid="bib1.bibx82" id="text.18"/> and <xref ref-type="bibr" rid="bib1.bibx84" id="text.19"/>, including detailed descriptions of the measurement instruments and the calibration scales used for each trace gas. Here, we only summarise those measurements used as inputs to the 12-box model (Sect. <xref ref-type="sec" rid="Ch1.S3"/>), which are only from a subset of measurement sites, compounds and measurements made in the current network and its predecessors, with a focus on sites that frequently measure well-mixed background air throughout the year, that is, excluding sites that regularly measure highly polluted air masses.</p>
      <p id="d2e1698">The data sets described in Sect. <xref ref-type="sec" rid="Ch1.S5"/> use measurements from five historic AGAGE stations and two newer AGAGE sites: Zeppelin (ZEP), Svalbard, Norway (78.9° N, 11.9° E; began 2001), Mace Head (MHD), Ireland (53.3° N, 9.9° W; began 1987), Jungfraujoch (JFJ), Switzerland (46.5° N, 8.0° E; began 2000), Trinidad Head (THD), California, USA (41.1° N, 124.2° W; began continuously in 1995), Ragged Point (RPB), Barbados (13.2° N, 59.4° W; began 1978), Cape Matatula (SMO), American Samoa (14.2° S, 170.6° W; began 1978), and at Kennaook/Cape Grim (CGO), Tasmania, Australia (40.7° S, 144.7° E; began continuously in 1978). Figure <xref ref-type="fig" rid="F1"/> shows the location of these stations. The AGAGE network contains many more sites than the ones used here. The measurement sites have been selected due to their usefulness in measuring air that is less impacted by nearby pollution, and therefore more representative of background conditions, and their longevity of measurements.</p>

      <fig id="F1" specific-use="star"><label>Figure 1</label><caption><p id="d2e1707">Locations of the AGAGE stations, from which measurements of dry-air mole fraction are currently used to derive the data sets using the 12-box model and an inverse method. Thin grey lines show the equator and <inline-formula><mml:math id="M97" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula>30° N.</p></caption>
        <graphic xlink:href="https://essd.copernicus.org/articles/17/6557/2025/essd-17-6557-2025-f01.png"/>

      </fig>

      <p id="d2e1724">The data sets presented here are primarily derived from in situ high-frequency measurements (Sect. <xref ref-type="sec" rid="Ch1.S2.SS1"/>). For a subset of substances, the in situ measurements are complemented by measurements of archived air samples (Sect. <xref ref-type="sec" rid="Ch1.S2.SS2"/>). Measurements from the ALE network from two sites – Adrigole (ADR), Ireland (52° N, 10° W) and Cape Meares (CMO), Oregon (45° N, 124° W) – are used for CFC-11, CFC-12, CFC-113/a, CCl<sub>4</sub> and CH<sub>3</sub>CCl<sub>3</sub> before measurements from MHD and THD are available. See <xref ref-type="bibr" rid="bib1.bibx80" id="text.20"/> for more information. Some publications have also used measurements of firn air, collected in Greenland and Antarctica, to derive emissions with the 12-box model <xref ref-type="bibr" rid="bib1.bibx123 bib1.bibx131 bib1.bibx132" id="paren.21"><named-content content-type="pre">e.g.,</named-content></xref>, but the routinely published data sets presented here currently do not contain measurements made from firn air.</p>
<sec id="Ch1.S2.SS1">
  <label>2.1</label><title>High-frequency measurements</title>
      <p id="d2e1774">Here, we describe the measurements used to derive global emissions and mole fraction trends. AGAGE in situ measurements of ODSs and GHGs have historically been made using multiple measurement instruments at each site. Measurements from Medusa gas chromatography mass spectrometry (GC-MS) systems <xref ref-type="bibr" rid="bib1.bibx55 bib1.bibx4" id="paren.22"/>, deployed at each AGAGE site in the early to late 2000s and 2010s, are used to derive global emissions and mole fraction trends for most of the compounds listed in Table <xref ref-type="table" rid="T1"/>. Exceptions are CFC-11, CFC-12, CCl<sub>4</sub>, and N<sub>2</sub>O, for which measurements by the AGAGE gas chromatography `multidetector' (GC-MD) systems at MHD, THD, RPB, SMO and CGO are preferentially used (in the case of N<sub>2</sub>O exclusively) due to higher measurement frequency and longer measurement records <xref ref-type="bibr" rid="bib1.bibx82" id="paren.23"><named-content content-type="pre">see</named-content></xref>. These compounds are measured using electron capture detection (ECD) <xref ref-type="bibr" rid="bib1.bibx82" id="paren.24"/>. Sites that do not have a GC-MD instrument (JFJ and ZEP) were not used to estimate CFC-11, CCl<sub>4</sub>, and N<sub>2</sub>O mole fractions and emissions.</p>
      <p id="d2e1836">Prior to Medusa GC-MS measurements, some compounds had been measured on GC-MS adsorption–desorption systems (ADS), starting out with a prototype-ADS system at MHD in mid-1994, followed by ADS systems at MHD and CGO in late 1997 <xref ref-type="bibr" rid="bib1.bibx109 bib1.bibx82" id="paren.25"><named-content content-type="pre">see</named-content><named-content content-type="post">for more information</named-content></xref>. GC-MS-ADS measurements also commenced at JFJ in 2000  <xref ref-type="bibr" rid="bib1.bibx86 bib1.bibx87" id="paren.26"/> and at ZEP in 2001  <xref ref-type="bibr" rid="bib1.bibx76" id="paren.27"/>. Information about the compounds and time periods for which these GC-MS-ADS data are used to derive trends in emissions and mole fractions is contained in <xref ref-type="bibr" rid="bib1.bibx78" id="text.28"/>. All GC-MD, ADS, and Medusa measurements are reported on the calibration scales used by AGAGE, as detailed in <xref ref-type="bibr" rid="bib1.bibx78" id="text.29"/>.</p>
      <p id="d2e1859">Methane has been historically measured by AGAGE GC-MD systems (and its GAGE predecessor) using flame-ionization detection (FID), reported on the Tohuko 1987 scale maintained at SIO, but at some sites in recent years GC-MD CH<sub>4</sub> measurements have been replaced/superseded by cavity ring-down spectrometer (CRDS) instruments (Picarro) <xref ref-type="bibr" rid="bib1.bibx84" id="paren.30"><named-content content-type="pre">see</named-content></xref>, reported on the NOAA-2004A scale <xref ref-type="bibr" rid="bib1.bibx17" id="paren.31"/>. Extensive NOAA-AGAGE intercomparisons as well as AGAGE on-site instrument comparisons during instrument overlap have shown that the scale differences are negligible <xref ref-type="bibr" rid="bib1.bibx84" id="paren.32"><named-content content-type="pre">NOAA/AGAGE ratio of 1.0001 <inline-formula><mml:math id="M107" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.0007,</named-content></xref>. Sites that do not have a GC-MD instrument (JFJ and ZEP) were not used for methane (even when CRDS measurements were available).</p>
      <p id="d2e1891">The typical repeatability of the measurements made by the GC-MS Medusa and GC-MD systems discussed here range from 0.05 % for N<sub>2</sub>O, 0.1 % for CF<sub>4</sub> and CFC-12, 0.3 %–1 % for most compounds, and up to 7 % for HFC-236fa of the measured standard value. For CH<sub>4</sub>, GC-MDs achieve 0.2% and CRDS systems achieve 0.02 % <xref ref-type="bibr" rid="bib1.bibx84" id="paren.33"><named-content content-type="pre">for more information see</named-content></xref>. The measurement repeatability is mainly compound and detector-dependent and is largely dominated by the atmospheric abundance of the compound but can also be negatively affected by site specific problems such as lab air contamination, lab temperature problems, trap temperature fluctuations, or MS filament problems.</p>
      <p id="d2e1927">The measurement data sets available from <xref ref-type="bibr" rid="bib1.bibx78" id="text.34"/> provide details on the instruments used to measure each compound listed in Table <xref ref-type="table" rid="T1"/>, and for which period. The measurements are used in conjunction with the statistical AGAGE pollution algorithm to determine pollution free monthly mean baseline mole fractions, which are then used as input for the model and inversion to produce the data sets presented here. This method allows for the determination of monthly mean baseline mole fractions, as detailed in Sect. <xref ref-type="sec" rid="Ch1.S2.SS3"/>.</p>
</sec>
<sec id="Ch1.S2.SS2">
  <label>2.2</label><title>Archived air measurements</title>
      <p id="d2e1945">For several compounds, measurements of archived air samples are used to extend the in situ measurement record back into the past <xref ref-type="bibr" rid="bib1.bibx67" id="paren.35"><named-content content-type="pre">available from</named-content></xref>. For the Southern Hemisphere, air collection and archiving began in 1978 with the Cape Grim Air Archive (CGAA), where air samples were taken at CGO during clean air conditions with cryogenic methods and stored in stainless steel tanks <xref ref-type="bibr" rid="bib1.bibx23 bib1.bibx40" id="paren.36"/>, with the intention of reconstructing the historical composition of ambient air once suitable analytical instruments and calibration scales were developed. Early measurements of the CGAA were performed on various instruments  <xref ref-type="bibr" rid="bib1.bibx25" id="paren.37"><named-content content-type="pre">summarized in</named-content></xref>, but here we focus on Medusa GC-MS measurement made in 2007 <xref ref-type="bibr" rid="bib1.bibx56" id="paren.38"><named-content content-type="pre">e.g.,</named-content></xref> and 2011 <xref ref-type="bibr" rid="bib1.bibx35" id="paren.39"><named-content content-type="pre">e.g.,</named-content></xref>, which were used in many subsequent studies <xref ref-type="bibr" rid="bib1.bibx63 bib1.bibx73 bib1.bibx93 bib1.bibx74" id="paren.40"><named-content content-type="pre">e.g.,</named-content></xref>. Later CGAA measurement made in 2016 <xref ref-type="bibr" rid="bib1.bibx131" id="paren.41"/> are currently not used here. These Medusa GC-MS measurements were mostly performed at the CSIRO Aspendale laboratory in Australia, but also at the Scripps Institution of Oceanography (SIO), in La Jolla, California USA. The frequency of available CGAA air samples differs, with one or two samples per year typically available before 1994, and up to nine samples available per year between 1994–1999, after which measurements of ongoing archived air samples are no longer used in this work. There is good agreement between the measurements at SIO and CSIRO of identical air samples and air samples with the same or similar fill dates.</p>
      <p id="d2e1980">To complement the CGAA, archived air samples from the Northern Hemisphere were gathered from several laboratories and mostly measured on Medusa GC-MS systems at SIO. Many of these tanks had been filled at THD or SIO, some at other northern hemispheric locations in the USA (such as Cape Meares in Oregon, Point Barrow in Alaska, and Niwot Ridge in Colorado) between 1973 and 2016 <xref ref-type="bibr" rid="bib1.bibx64 bib1.bibx63" id="paren.42"/>. Unlike the CGAA, many of these samples were not originally intended for future atmospheric archive measurements and required more stringent quality control. For inert and/or volatile or very abundant compounds (such as CF<sub>4</sub>, SF<sub>6</sub>, NF<sub>3</sub>, many HFCs and HCFCs) the resulting measurements were well-suited to reconstruct historic northern hemispheric abundances. Measurements of other compounds (e.g., several minor CFCs, H-2402, HCFC-22, HCFC-124, HFC-43-10mee, PFC-218) produced some anomalous data points during data processing, which resulted in less certain northern hemispheric historic abundances for these compounds. Some archived air samples from the Northern Hemisphere were also measured at CSIRO <xref ref-type="bibr" rid="bib1.bibx4 bib1.bibx35 bib1.bibx64 bib1.bibx63" id="paren.43"/>, again generally confirming that measurements from the instruments at SIO and CSIRO can be combined.</p>
      <p id="d2e2016">Table <xref ref-type="table" rid="T2"/> shows the compounds that use archived air measurements in their emissions estimates. The references in Table <xref ref-type="table" rid="T2"/> are the first publications in which archived air was used to derive emissions, and subsequent relevant publications.</p>

<table-wrap id="T2" specific-use="star"><label>Table 2</label><caption><p id="d2e2027">Relevant publications of compounds that have used archived air measurements, alongside high frequency measurements made by AGAGE, to quantify emissions estimates.</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="left"/>
     <oasis:thead>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1">Compounds</oasis:entry>
         <oasis:entry colname="col2">Reference</oasis:entry>
       </oasis:row>
     </oasis:thead>
     <oasis:tbody>
       <oasis:row>
         <oasis:entry colname="col1">CF<sub>4</sub></oasis:entry>
         <oasis:entry colname="col2">
                    <xref ref-type="bibr" rid="bib1.bibx64 bib1.bibx123" id="text.44"/>
                  </oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">C<sub>2</sub>F<sub>6</sub></oasis:entry>
         <oasis:entry colname="col2">
                    <xref ref-type="bibr" rid="bib1.bibx64 bib1.bibx123" id="text.45"/>
                  </oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">C<sub>3</sub>F<sub>8</sub></oasis:entry>
         <oasis:entry colname="col2">
                    <xref ref-type="bibr" rid="bib1.bibx64 bib1.bibx123" id="text.46"/>
                  </oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"><italic>c</italic>-C<sub>4</sub>F<sub>8</sub></oasis:entry>
         <oasis:entry colname="col2">
                    <xref ref-type="bibr" rid="bib1.bibx65" id="text.47"/>
                  </oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">SF<sub>6</sub></oasis:entry>
         <oasis:entry colname="col2">
                    <xref ref-type="bibr" rid="bib1.bibx93 bib1.bibx114" id="text.48"/>
                  </oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">NF<sub>3</sub></oasis:entry>
         <oasis:entry colname="col2">
                    <xref ref-type="bibr" rid="bib1.bibx5" id="text.49"/>
                  </oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">SO<sub>2</sub>F<sub>2</sub></oasis:entry>
         <oasis:entry colname="col2">
                    <xref ref-type="bibr" rid="bib1.bibx63" id="text.50"/>
                  </oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">HFC-23</oasis:entry>
         <oasis:entry colname="col2">
                    <xref ref-type="bibr" rid="bib1.bibx56 bib1.bibx113 bib1.bibx116" id="text.51"/>
                  </oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">HFC-32</oasis:entry>
         <oasis:entry colname="col2">
                    <xref ref-type="bibr" rid="bib1.bibx74" id="text.52"/>
                  </oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">HFC-125</oasis:entry>
         <oasis:entry colname="col2">
                    <xref ref-type="bibr" rid="bib1.bibx73" id="text.53"/>
                  </oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">HFC-134a</oasis:entry>
         <oasis:entry colname="col2">
                    <xref ref-type="bibr" rid="bib1.bibx72 bib1.bibx97" id="text.54"/>
                  </oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">HFC-143a</oasis:entry>
         <oasis:entry colname="col2">
                    <xref ref-type="bibr" rid="bib1.bibx74" id="text.55"/>
                  </oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">HFC-152a</oasis:entry>
         <oasis:entry colname="col2">
                    <xref ref-type="bibr" rid="bib1.bibx111" id="text.56"/>
                  </oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">HFC-227ea</oasis:entry>
         <oasis:entry colname="col2">
                    <xref ref-type="bibr" rid="bib1.bibx127" id="text.57"/>
                  </oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">HFC-236fa</oasis:entry>
         <oasis:entry colname="col2">
                    <xref ref-type="bibr" rid="bib1.bibx127" id="text.58"/>
                  </oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">HFC-245fa</oasis:entry>
         <oasis:entry colname="col2">
                    <xref ref-type="bibr" rid="bib1.bibx127" id="text.59"/>
                  </oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">HFC-365mfc</oasis:entry>
         <oasis:entry colname="col2">
                    <xref ref-type="bibr" rid="bib1.bibx127" id="text.60"/>
                  </oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">HFC-43-10mee</oasis:entry>
         <oasis:entry colname="col2">
                    <xref ref-type="bibr" rid="bib1.bibx6" id="text.61"/>
                  </oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">HCFC-22</oasis:entry>
         <oasis:entry colname="col2">
                    <xref ref-type="bibr" rid="bib1.bibx72 bib1.bibx101 bib1.bibx140" id="text.62"/>
                  </oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">HCFC-141b</oasis:entry>
         <oasis:entry colname="col2">
                    <xref ref-type="bibr" rid="bib1.bibx72 bib1.bibx112 bib1.bibx137" id="text.63"/>
                  </oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">HCFC-142b</oasis:entry>
         <oasis:entry colname="col2">
                    <xref ref-type="bibr" rid="bib1.bibx72 bib1.bibx112 bib1.bibx97 bib1.bibx140" id="text.64"/>
                  </oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">CFC-13</oasis:entry>
         <oasis:entry colname="col2">
                    <xref ref-type="bibr" rid="bib1.bibx132" id="text.65"/>
                  </oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">CFC-115</oasis:entry>
         <oasis:entry colname="col2">
                    <xref ref-type="bibr" rid="bib1.bibx132" id="text.66"/>
                  </oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">CFC-113/a</oasis:entry>
         <oasis:entry colname="col2">
                    <xref ref-type="bibr" rid="bib1.bibx97" id="text.67"/>
                  </oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">CFC-114/a</oasis:entry>
         <oasis:entry colname="col2">
                    <xref ref-type="bibr" rid="bib1.bibx132" id="text.68"/>
                  </oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">H-1211</oasis:entry>
         <oasis:entry colname="col2">
                    <xref ref-type="bibr" rid="bib1.bibx131" id="text.69"/>
                  </oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">H-1301</oasis:entry>
         <oasis:entry colname="col2">
                    <xref ref-type="bibr" rid="bib1.bibx131" id="text.70"/>
                  </oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">H-2402</oasis:entry>
         <oasis:entry colname="col2">
                    <xref ref-type="bibr" rid="bib1.bibx131" id="text.71"/>
                  </oasis:entry>
       </oasis:row>
     </oasis:tbody>
   </oasis:tgroup></oasis:table></table-wrap>

</sec>
<sec id="Ch1.S2.SS3">
  <label>2.3</label><title>Derivation of baseline mole fractions</title>
      <p id="d2e2496">Derived global emissions and mole fraction trends are inferred from monthly mean “baseline” mole fractions for each measurement site in Sect. <xref ref-type="sec" rid="Ch1.S2"/>. A baseline measurement is when the sampled air is well mixed within the air parcel and is not influenced by nearby pollution sources. These monthly mean baseline mole fractions are fed into the inversion framework described in Sect. <xref ref-type="sec" rid="Ch1.S4"/>.</p>
      <p id="d2e2503">Here, monthly mean baseline measurements are derived using a statistical algorithm <xref ref-type="bibr" rid="bib1.bibx71" id="paren.72"/>. The algorithm identifies measurements that are considered as baseline by taking the following steps. <list list-type="order"><list-item>
      <p id="d2e2511">For a given day, fit a second-order polynomial to the daily minima of measurements over a 121 d window centred on that day (i.e. using 60 d before and after). Subtract the fitted polynomial from all measurements within the window, to detrend the measurements, and calculate the median of these detrended data. Calculate the root mean square error (RMSE) using only the detrended values that fall below this median value. Classify measurements on the given day as baseline if they are within three times the RMSE of the median. Compute this step as a moving window across all days.</p></list-item><list-item>
      <p id="d2e2515">Repeat step 1 using the resultant tentative baseline measurements, with initial pollution events removed, from the first iteration of Step 1. Additionally, during this step, label measurements that fall within two to three times the new RMSE as “possibly polluted” measurements.</p></list-item><list-item>
      <p id="d2e2519">Remove the “possibly polluted” measurements if the following or preceding measurement is also labelled as a polluted measurement (i.e., greater than three times the RMSE) following Step 2.</p></list-item><list-item>
      <p id="d2e2523">The mean of the remaining baseline measurements for each calendar month is taken as the monthly mean baseline for a given measurement site.</p></list-item></list></p>
</sec>
</sec>
<sec id="Ch1.S3">
  <label>3</label><title>AGAGE 12-box model</title>
      <p id="d2e2535">AGAGE measurements are combined with a 12-box model and an inverse method to produce the derived products presented here. The AGAGE 12-box model is a two-dimensional model that simulates transport of long-lived trace species in the zonal mean atmosphere (i.e., with no longitudinal component). Each trace gas is assumed to be uniformly mixed within each box. The current AGAGE 12-box model has evolved from the 9-box model originally described in <xref ref-type="bibr" rid="bib1.bibx14" id="text.73"/>, which was later expanded to 12 boxes <xref ref-type="bibr" rid="bib1.bibx15" id="paren.74"/>. Several subsequent publications have recoded this original model <xref ref-type="bibr" rid="bib1.bibx96" id="paren.75"/>, updated transport parameters or losses <xref ref-type="bibr" rid="bib1.bibx92" id="paren.76"><named-content content-type="pre">e.g.,</named-content></xref>, or developed a model adjoint <xref ref-type="bibr" rid="bib1.bibx119" id="paren.77"/>. The 12-box model is divided into latitudinal semi-hemispheres at the equator and 30° N and 30° S, and vertically at 500 and 200 hPa (with the surface at 1000 hPa), approximating boxes bounded at the planetary boundary layer and tropopause. See Fig. <xref ref-type="fig" rid="F2"/> for a schematic representation. The air masses of the four boxes are equal at each vertical level. The 12-box model is governed by source, transport and loss processes, which are described in the remainder of this section.</p>

      <fig id="F2"><label>Figure 2</label><caption><p id="d2e2560">A schematic of the 12-box model taken from <xref ref-type="bibr" rid="bib1.bibx96" id="text.78"/>. The purple two-headed arrows between boxes indicate the eddy diffusion timescales and the green arrows the advection rates, which are shown in Table <xref ref-type="table" rid="T3"/>. The red arrows represent emissions into the model. Blue arrows, labelled with <inline-formula><mml:math id="M125" display="inline"><mml:mrow><mml:msub><mml:mi>T</mml:mi><mml:mi mathvariant="normal">o</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>, represent loss processes due to ocean and soil uptake. Boxes labelled with OH show where troposphoric loss due to reaction with the hydroxyl radical occurs. Boxes labelled <inline-formula><mml:math id="M126" display="inline"><mml:mrow><mml:msub><mml:mi>T</mml:mi><mml:mi mathvariant="normal">s</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> show where stratospheric loss occurs. The indices used to label each box are shown in the white circles. For methane, there is an additional loss field for the chlorine radical. For some species, such as halons, a first order loss is also assumed in the tropospheric boxes, parameterising tropospheric photolysis.</p></caption>
        <graphic xlink:href="https://essd.copernicus.org/articles/17/6557/2025/essd-17-6557-2025-f02.png"/>

      </fig>

<sec id="Ch1.S3.SS1">
  <label>3.1</label><title>Transport</title>
      <p id="d2e2603">Dynamic transport in the 12-box model is represented through a parameterisation of advection and diffusion between the boxes. The change in the mass mixing ratio in surface boxes (<inline-formula><mml:math id="M127" display="inline"><mml:mrow><mml:mi>j</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">0</mml:mn><mml:mo>,</mml:mo><mml:mn mathvariant="normal">1</mml:mn><mml:mo>,</mml:mo><mml:mn mathvariant="normal">2</mml:mn><mml:mo>,</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:math></inline-formula>), <inline-formula><mml:math id="M128" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">χ</mml:mi><mml:mi>j</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>, over time is given by the equation

            <disp-formula id="Ch1.E1" content-type="numbered"><label>1</label><mml:math id="M129" display="block"><mml:mtable rowspacing="0.2ex" class="split" displaystyle="true" columnalign="right left"><mml:mtr><mml:mtd><mml:mrow><mml:mstyle displaystyle="true"><mml:mfrac style="display"><mml:mrow><mml:mi mathvariant="normal">d</mml:mi><mml:msub><mml:mi mathvariant="italic">χ</mml:mi><mml:mi>j</mml:mi></mml:msub></mml:mrow><mml:mrow><mml:mi mathvariant="normal">d</mml:mi><mml:mi>t</mml:mi></mml:mrow></mml:mfrac></mml:mstyle></mml:mrow></mml:mtd><mml:mtd><mml:mrow><mml:mo>=</mml:mo><mml:mo>-</mml:mo><mml:msub><mml:mn mathvariant="normal">1</mml:mn><mml:mrow><mml:mi>j</mml:mi><mml:mo>&gt;</mml:mo><mml:mn mathvariant="normal">0</mml:mn></mml:mrow></mml:msub><mml:mo>(</mml:mo><mml:mi>j</mml:mi><mml:mo>)</mml:mo><mml:mfenced open="(" close=")"><mml:mrow><mml:msub><mml:mi>V</mml:mi><mml:mrow><mml:mi>j</mml:mi><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn><mml:mo>,</mml:mo><mml:mi>j</mml:mi></mml:mrow></mml:msub><mml:msub><mml:mover accent="true"><mml:mi mathvariant="italic">χ</mml:mi><mml:mo mathvariant="normal">‾</mml:mo></mml:mover><mml:mrow><mml:mi>j</mml:mi><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn><mml:mo>,</mml:mo><mml:mi>j</mml:mi></mml:mrow></mml:msub><mml:mo>+</mml:mo><mml:mstyle displaystyle="true"><mml:mfrac style="display"><mml:mrow><mml:mo>(</mml:mo><mml:mi mathvariant="normal">Δ</mml:mi><mml:mi mathvariant="italic">χ</mml:mi><mml:msub><mml:mo>)</mml:mo><mml:mrow><mml:mi>j</mml:mi><mml:mo>,</mml:mo><mml:mi>j</mml:mi><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msub></mml:mrow><mml:mrow><mml:msub><mml:mi>t</mml:mi><mml:mrow><mml:mi>j</mml:mi><mml:mo>,</mml:mo><mml:mi>j</mml:mi><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msub></mml:mrow></mml:mfrac></mml:mstyle></mml:mrow></mml:mfenced></mml:mrow></mml:mtd></mml:mtr><mml:mtr><mml:mtd/><mml:mtd><mml:mrow><mml:mo>-</mml:mo><mml:msub><mml:mn mathvariant="normal">1</mml:mn><mml:mrow><mml:mi>j</mml:mi><mml:mo>&lt;</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msub><mml:mo>(</mml:mo><mml:mi>j</mml:mi><mml:mo>)</mml:mo><mml:mfenced open="(" close=")"><mml:mrow><mml:msub><mml:mi>V</mml:mi><mml:mrow><mml:mi>j</mml:mi><mml:mo>+</mml:mo><mml:mn mathvariant="normal">1</mml:mn><mml:mo>,</mml:mo><mml:mi>j</mml:mi></mml:mrow></mml:msub><mml:msub><mml:mover accent="true"><mml:mi mathvariant="italic">χ</mml:mi><mml:mo mathvariant="normal">‾</mml:mo></mml:mover><mml:mrow><mml:mi>j</mml:mi><mml:mo>+</mml:mo><mml:mn mathvariant="normal">1</mml:mn><mml:mo>,</mml:mo><mml:mi>j</mml:mi></mml:mrow></mml:msub><mml:mo>+</mml:mo><mml:mstyle displaystyle="true"><mml:mfrac style="display"><mml:mrow><mml:mo>(</mml:mo><mml:mi mathvariant="normal">Δ</mml:mi><mml:mi mathvariant="italic">χ</mml:mi><mml:msub><mml:mo>)</mml:mo><mml:mrow><mml:mi>j</mml:mi><mml:mo>,</mml:mo><mml:mi>j</mml:mi><mml:mo>+</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msub></mml:mrow><mml:mrow><mml:msub><mml:mi>t</mml:mi><mml:mrow><mml:mi>j</mml:mi><mml:mo>,</mml:mo><mml:mi>j</mml:mi><mml:mo>+</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msub></mml:mrow></mml:mfrac></mml:mstyle></mml:mrow></mml:mfenced></mml:mrow></mml:mtd></mml:mtr><mml:mtr><mml:mtd/><mml:mtd><mml:mrow><mml:mo>-</mml:mo><mml:mfenced close=")" open="("><mml:mrow><mml:msub><mml:mi>V</mml:mi><mml:mrow><mml:mi>j</mml:mi><mml:mo>+</mml:mo><mml:mn mathvariant="normal">4</mml:mn><mml:mo>,</mml:mo><mml:mi>j</mml:mi></mml:mrow></mml:msub><mml:msub><mml:mover accent="true"><mml:mi mathvariant="italic">χ</mml:mi><mml:mo mathvariant="normal">‾</mml:mo></mml:mover><mml:mrow><mml:mi>j</mml:mi><mml:mo>+</mml:mo><mml:mn mathvariant="normal">4</mml:mn><mml:mo>,</mml:mo><mml:mi>j</mml:mi></mml:mrow></mml:msub><mml:mo>+</mml:mo><mml:mstyle displaystyle="true"><mml:mfrac style="display"><mml:mrow><mml:mo>(</mml:mo><mml:mi mathvariant="normal">Δ</mml:mi><mml:mi mathvariant="italic">χ</mml:mi><mml:msub><mml:mo>)</mml:mo><mml:mrow><mml:mi>j</mml:mi><mml:mo>,</mml:mo><mml:mi>j</mml:mi><mml:mo>+</mml:mo><mml:mn mathvariant="normal">4</mml:mn></mml:mrow></mml:msub></mml:mrow><mml:mrow><mml:msub><mml:mi>t</mml:mi><mml:mrow><mml:mi>j</mml:mi><mml:mo>,</mml:mo><mml:mi>j</mml:mi><mml:mo>+</mml:mo><mml:mn mathvariant="normal">4</mml:mn></mml:mrow></mml:msub></mml:mrow></mml:mfrac></mml:mstyle></mml:mrow></mml:mfenced><mml:mo>-</mml:mo><mml:msub><mml:mi>L</mml:mi><mml:mi>j</mml:mi></mml:msub><mml:mo>+</mml:mo><mml:mstyle displaystyle="true"><mml:mfrac style="display"><mml:mrow><mml:msub><mml:mi>E</mml:mi><mml:mi>j</mml:mi></mml:msub></mml:mrow><mml:mrow><mml:msub><mml:mi>M</mml:mi><mml:mi>j</mml:mi></mml:msub></mml:mrow></mml:mfrac></mml:mstyle><mml:mo>,</mml:mo></mml:mrow></mml:mtd></mml:mtr></mml:mtable></mml:math></disp-formula>

          where <inline-formula><mml:math id="M130" display="inline"><mml:mrow><mml:msub><mml:mi>V</mml:mi><mml:mrow><mml:mi>i</mml:mi><mml:mo>,</mml:mo><mml:mi>k</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula> is an inverse time constant representing the mean meridional transport between boxes <inline-formula><mml:math id="M131" display="inline"><mml:mi>i</mml:mi></mml:math></inline-formula> and <inline-formula><mml:math id="M132" display="inline"><mml:mi>k</mml:mi></mml:math></inline-formula>, <inline-formula><mml:math id="M133" display="inline"><mml:mrow><mml:msubsup><mml:mi>t</mml:mi><mml:mrow><mml:mi>i</mml:mi><mml:mo>,</mml:mo><mml:mi>k</mml:mi></mml:mrow><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msubsup></mml:mrow></mml:math></inline-formula> is the rate of eddy diffusion, <inline-formula><mml:math id="M134" display="inline"><mml:mrow><mml:msub><mml:mi>E</mml:mi><mml:mi>j</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> is the emissions into box <inline-formula><mml:math id="M135" display="inline"><mml:mi>j</mml:mi></mml:math></inline-formula>, the losses are defined collectively by <inline-formula><mml:math id="M136" display="inline"><mml:mrow><mml:msub><mml:mi>L</mml:mi><mml:mi>j</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>, and <inline-formula><mml:math id="M137" display="inline"><mml:mrow><mml:msub><mml:mi>M</mml:mi><mml:mi>j</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> is the total mass of air in box <inline-formula><mml:math id="M138" display="inline"><mml:mi>j</mml:mi></mml:math></inline-formula>. Other mathematical descriptors are

                <disp-formula specific-use="gather" content-type="numbered"><mml:math id="M139" display="block"><mml:mtable displaystyle="true"><mml:mlabeledtr id="Ch1.E2"><mml:mtd><mml:mtext>2</mml:mtext></mml:mtd><mml:mtd><mml:mrow><mml:mstyle displaystyle="true" class="stylechange"/><mml:msub><mml:mover accent="true"><mml:mi mathvariant="italic">χ</mml:mi><mml:mo mathvariant="normal">‾</mml:mo></mml:mover><mml:mrow><mml:mi>i</mml:mi><mml:mo>,</mml:mo><mml:mi>k</mml:mi></mml:mrow></mml:msub><mml:mo>=</mml:mo><mml:mstyle displaystyle="true"><mml:mfrac style="display"><mml:mn mathvariant="normal">1</mml:mn><mml:mn mathvariant="normal">2</mml:mn></mml:mfrac></mml:mstyle><mml:mo>(</mml:mo><mml:msub><mml:mi mathvariant="italic">χ</mml:mi><mml:mi>i</mml:mi></mml:msub><mml:mo>+</mml:mo><mml:msub><mml:mi mathvariant="italic">χ</mml:mi><mml:mi>k</mml:mi></mml:msub><mml:mo>)</mml:mo><mml:mo>,</mml:mo></mml:mrow></mml:mtd></mml:mlabeledtr><mml:mlabeledtr id="Ch1.E3"><mml:mtd><mml:mtext>3</mml:mtext></mml:mtd><mml:mtd><mml:mrow><mml:mstyle class="stylechange" displaystyle="true"/><mml:mo>(</mml:mo><mml:mi mathvariant="normal">Δ</mml:mi><mml:mi mathvariant="italic">χ</mml:mi><mml:msub><mml:mo>)</mml:mo><mml:mrow><mml:mi>i</mml:mi><mml:mo>,</mml:mo><mml:mi>k</mml:mi></mml:mrow></mml:msub><mml:mo>=</mml:mo><mml:msub><mml:mi mathvariant="italic">χ</mml:mi><mml:mi>i</mml:mi></mml:msub><mml:mo>-</mml:mo><mml:msub><mml:mi mathvariant="italic">χ</mml:mi><mml:mi>k</mml:mi></mml:msub><mml:mo>,</mml:mo></mml:mrow></mml:mtd></mml:mlabeledtr></mml:mtable></mml:math></disp-formula>

          and the indicator function, which is defined where

            <disp-formula id="Ch1.E4" content-type="numbered"><label>4</label><mml:math id="M140" display="block"><mml:mrow><mml:msub><mml:mn mathvariant="normal">1</mml:mn><mml:mi>A</mml:mi></mml:msub><mml:mo>(</mml:mo><mml:mi>j</mml:mi><mml:mo>)</mml:mo><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:mn mathvariant="normal">1</mml:mn></mml:mtd><mml:mtd><mml:mrow><mml:mtext>if </mml:mtext><mml:mi>A</mml:mi><mml:mspace width="0.25em" linebreak="nobreak"/><mml:mtext>is  true</mml:mtext></mml:mrow></mml:mtd></mml:mtr><mml:mtr><mml:mtd><mml:mn mathvariant="normal">0</mml:mn></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>

          For tropospheric boxes (<inline-formula><mml:math id="M141" display="inline"><mml:mrow><mml:mi>j</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">4</mml:mn><mml:mo>,</mml:mo><mml:mn mathvariant="normal">5</mml:mn><mml:mo>,</mml:mo><mml:mn mathvariant="normal">6</mml:mn><mml:mo>,</mml:mo><mml:mn mathvariant="normal">7</mml:mn></mml:mrow></mml:math></inline-formula>), the mass mixing ratio is given by

            <disp-formula id="Ch1.E5" content-type="numbered"><label>5</label><mml:math id="M142" display="block"><mml:mtable class="split" rowspacing="0.2ex" displaystyle="true" columnalign="right left"><mml:mtr><mml:mtd><mml:mrow><mml:mstyle displaystyle="true"><mml:mfrac style="display"><mml:mrow><mml:mi mathvariant="normal">d</mml:mi><mml:msub><mml:mi mathvariant="italic">χ</mml:mi><mml:mi>j</mml:mi></mml:msub></mml:mrow><mml:mrow><mml:mi mathvariant="normal">d</mml:mi><mml:mi>t</mml:mi></mml:mrow></mml:mfrac></mml:mstyle></mml:mrow></mml:mtd><mml:mtd><mml:mrow><mml:mo>=</mml:mo><mml:mo>-</mml:mo><mml:msub><mml:mn mathvariant="normal">1</mml:mn><mml:mrow><mml:mi>j</mml:mi><mml:mo>&gt;</mml:mo><mml:mn mathvariant="normal">4</mml:mn></mml:mrow></mml:msub><mml:mo>(</mml:mo><mml:mi>j</mml:mi><mml:mo>)</mml:mo><mml:mfenced open="(" close=")"><mml:mrow><mml:mstyle displaystyle="true"><mml:mfrac style="display"><mml:mn mathvariant="normal">5</mml:mn><mml:mn mathvariant="normal">3</mml:mn></mml:mfrac></mml:mstyle><mml:msub><mml:mi>V</mml:mi><mml:mrow><mml:mi>j</mml:mi><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn><mml:mo>,</mml:mo><mml:mi>j</mml:mi></mml:mrow></mml:msub><mml:msub><mml:mover accent="true"><mml:mi mathvariant="italic">χ</mml:mi><mml:mo mathvariant="normal">‾</mml:mo></mml:mover><mml:mrow><mml:mi>j</mml:mi><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn><mml:mo>,</mml:mo><mml:mi>j</mml:mi></mml:mrow></mml:msub><mml:mo>+</mml:mo><mml:mstyle displaystyle="true"><mml:mfrac style="display"><mml:mrow><mml:mo>(</mml:mo><mml:mi mathvariant="normal">Δ</mml:mi><mml:mi mathvariant="italic">χ</mml:mi><mml:msub><mml:mo>)</mml:mo><mml:mrow><mml:mi>j</mml:mi><mml:mo>,</mml:mo><mml:mi>j</mml:mi><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msub></mml:mrow><mml:mrow><mml:msub><mml:mi>t</mml:mi><mml:mrow><mml:mi>j</mml:mi><mml:mo>,</mml:mo><mml:mi>j</mml:mi><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msub></mml:mrow></mml:mfrac></mml:mstyle></mml:mrow></mml:mfenced></mml:mrow></mml:mtd></mml:mtr><mml:mtr><mml:mtd/><mml:mtd><mml:mrow><mml:mo>-</mml:mo><mml:msub><mml:mn mathvariant="normal">1</mml:mn><mml:mrow><mml:mi>j</mml:mi><mml:mo>&lt;</mml:mo><mml:mn mathvariant="normal">7</mml:mn></mml:mrow></mml:msub><mml:mo>(</mml:mo><mml:mi>j</mml:mi><mml:mo>)</mml:mo><mml:mfenced close=")" open="("><mml:mrow><mml:mstyle displaystyle="true"><mml:mfrac style="display"><mml:mn mathvariant="normal">5</mml:mn><mml:mn mathvariant="normal">3</mml:mn></mml:mfrac></mml:mstyle><mml:msub><mml:mi>V</mml:mi><mml:mrow><mml:mi>j</mml:mi><mml:mo>+</mml:mo><mml:mn mathvariant="normal">1</mml:mn><mml:mo>,</mml:mo><mml:mi>j</mml:mi></mml:mrow></mml:msub><mml:msub><mml:mover accent="true"><mml:mi mathvariant="italic">χ</mml:mi><mml:mo mathvariant="normal">‾</mml:mo></mml:mover><mml:mrow><mml:mi>j</mml:mi><mml:mo>+</mml:mo><mml:mn mathvariant="normal">1</mml:mn><mml:mo>,</mml:mo><mml:mi>j</mml:mi></mml:mrow></mml:msub><mml:mo>+</mml:mo><mml:mstyle displaystyle="true"><mml:mfrac style="display"><mml:mrow><mml:mo>(</mml:mo><mml:mi mathvariant="normal">Δ</mml:mi><mml:mi mathvariant="italic">χ</mml:mi><mml:msub><mml:mo>)</mml:mo><mml:mrow><mml:mi>j</mml:mi><mml:mo>,</mml:mo><mml:mi>j</mml:mi><mml:mo>+</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msub></mml:mrow><mml:mrow><mml:msub><mml:mi>t</mml:mi><mml:mrow><mml:mi>j</mml:mi><mml:mo>,</mml:mo><mml:mi>j</mml:mi><mml:mo>+</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msub></mml:mrow></mml:mfrac></mml:mstyle></mml:mrow></mml:mfenced></mml:mrow></mml:mtd></mml:mtr><mml:mtr><mml:mtd/><mml:mtd><mml:mrow><mml:mo>-</mml:mo><mml:mfenced open="(" close=")"><mml:mrow><mml:mstyle displaystyle="true"><mml:mfrac style="display"><mml:mn mathvariant="normal">5</mml:mn><mml:mn mathvariant="normal">3</mml:mn></mml:mfrac></mml:mstyle><mml:msub><mml:mi>V</mml:mi><mml:mrow><mml:mi>j</mml:mi><mml:mo>-</mml:mo><mml:mn mathvariant="normal">4</mml:mn><mml:mo>,</mml:mo><mml:mi>j</mml:mi></mml:mrow></mml:msub><mml:msub><mml:mover accent="true"><mml:mi mathvariant="italic">χ</mml:mi><mml:mo mathvariant="normal">‾</mml:mo></mml:mover><mml:mrow><mml:mi>j</mml:mi><mml:mo>-</mml:mo><mml:mn mathvariant="normal">4</mml:mn><mml:mo>,</mml:mo><mml:mi>j</mml:mi></mml:mrow></mml:msub><mml:mo>+</mml:mo><mml:mstyle displaystyle="true"><mml:mfrac style="display"><mml:mn mathvariant="normal">5</mml:mn><mml:mn mathvariant="normal">3</mml:mn></mml:mfrac></mml:mstyle><mml:mstyle displaystyle="true"><mml:mfrac style="display"><mml:mrow><mml:mo>(</mml:mo><mml:mi mathvariant="normal">Δ</mml:mi><mml:mi mathvariant="italic">χ</mml:mi><mml:msub><mml:mo>)</mml:mo><mml:mrow><mml:mi>j</mml:mi><mml:mo>,</mml:mo><mml:mi>j</mml:mi><mml:mo>-</mml:mo><mml:mn mathvariant="normal">4</mml:mn></mml:mrow></mml:msub></mml:mrow><mml:mrow><mml:msub><mml:mi>t</mml:mi><mml:mrow><mml:mi>j</mml:mi><mml:mo>,</mml:mo><mml:mi>j</mml:mi><mml:mo>-</mml:mo><mml:mn mathvariant="normal">4</mml:mn></mml:mrow></mml:msub></mml:mrow></mml:mfrac></mml:mstyle></mml:mrow></mml:mfenced></mml:mrow></mml:mtd></mml:mtr><mml:mtr><mml:mtd/><mml:mtd><mml:mrow><mml:mo>-</mml:mo><mml:mstyle displaystyle="true"><mml:mfrac style="display"><mml:mrow><mml:mo>(</mml:mo><mml:mi mathvariant="normal">Δ</mml:mi><mml:mi mathvariant="italic">χ</mml:mi><mml:msub><mml:mo>)</mml:mo><mml:mrow><mml:mi>j</mml:mi><mml:mo>,</mml:mo><mml:mi>j</mml:mi><mml:mo>+</mml:mo><mml:mn mathvariant="normal">4</mml:mn></mml:mrow></mml:msub></mml:mrow><mml:mrow><mml:msub><mml:mi>t</mml:mi><mml:mrow><mml:mi>j</mml:mi><mml:mo>,</mml:mo><mml:mi>j</mml:mi><mml:mo>+</mml:mo><mml:mn mathvariant="normal">4</mml:mn></mml:mrow></mml:msub></mml:mrow></mml:mfrac></mml:mstyle><mml:mo>-</mml:mo><mml:msub><mml:mi>L</mml:mi><mml:mi>j</mml:mi></mml:msub><mml:mo>,</mml:mo></mml:mrow></mml:mtd></mml:mtr></mml:mtable></mml:math></disp-formula>

          and finally for the stratospheric boxes (<inline-formula><mml:math id="M143" display="inline"><mml:mrow><mml:mi>j</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">8</mml:mn><mml:mo>,</mml:mo><mml:mn mathvariant="normal">9</mml:mn><mml:mo>,</mml:mo><mml:mn mathvariant="normal">10</mml:mn><mml:mo>,</mml:mo><mml:mn mathvariant="normal">11</mml:mn></mml:mrow></mml:math></inline-formula>),

            <disp-formula id="Ch1.E6" content-type="numbered"><label>6</label><mml:math id="M144" display="block"><mml:mtable class="split" rowspacing="0.2ex" displaystyle="true" columnalign="right left"><mml:mtr><mml:mtd><mml:mrow><mml:mstyle displaystyle="true"><mml:mfrac style="display"><mml:mrow><mml:mi mathvariant="normal">d</mml:mi><mml:msub><mml:mi mathvariant="italic">χ</mml:mi><mml:mi>j</mml:mi></mml:msub></mml:mrow><mml:mrow><mml:mi mathvariant="normal">d</mml:mi><mml:mi>t</mml:mi></mml:mrow></mml:mfrac></mml:mstyle></mml:mrow></mml:mtd><mml:mtd><mml:mrow><mml:mo>=</mml:mo><mml:mo>-</mml:mo><mml:msub><mml:mn mathvariant="normal">1</mml:mn><mml:mrow><mml:mi>j</mml:mi><mml:mo>&gt;</mml:mo><mml:mn mathvariant="normal">8</mml:mn></mml:mrow></mml:msub><mml:mo>(</mml:mo><mml:mi>j</mml:mi><mml:mo>)</mml:mo><mml:mstyle displaystyle="true"><mml:mfrac style="display"><mml:mrow><mml:mo>(</mml:mo><mml:mi mathvariant="normal">Δ</mml:mi><mml:mi mathvariant="italic">χ</mml:mi><mml:msub><mml:mo>)</mml:mo><mml:mrow><mml:mi>j</mml:mi><mml:mo>,</mml:mo><mml:mi>j</mml:mi><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msub></mml:mrow><mml:mrow><mml:msub><mml:mi>t</mml:mi><mml:mrow><mml:mi>j</mml:mi><mml:mo>,</mml:mo><mml:mi>j</mml:mi><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msub></mml:mrow></mml:mfrac></mml:mstyle><mml:mo>-</mml:mo><mml:msub><mml:mn mathvariant="normal">1</mml:mn><mml:mrow><mml:mi>j</mml:mi><mml:mo>&lt;</mml:mo><mml:mn mathvariant="normal">11</mml:mn></mml:mrow></mml:msub><mml:mo>(</mml:mo><mml:mi>j</mml:mi><mml:mo>)</mml:mo><mml:mstyle displaystyle="true"><mml:mfrac style="display"><mml:mrow><mml:mo>(</mml:mo><mml:mi mathvariant="normal">Δ</mml:mi><mml:mi mathvariant="italic">χ</mml:mi><mml:msub><mml:mo>)</mml:mo><mml:mrow><mml:mi>j</mml:mi><mml:mo>,</mml:mo><mml:mi>j</mml:mi><mml:mo>+</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msub></mml:mrow><mml:mrow><mml:msub><mml:mi>t</mml:mi><mml:mrow><mml:mi>j</mml:mi><mml:mo>,</mml:mo><mml:mi>j</mml:mi><mml:mo>+</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msub></mml:mrow></mml:mfrac></mml:mstyle></mml:mrow></mml:mtd></mml:mtr><mml:mtr><mml:mtd/><mml:mtd><mml:mrow><mml:mo>-</mml:mo><mml:mstyle displaystyle="true"><mml:mfrac style="display"><mml:mn mathvariant="normal">3</mml:mn><mml:mn mathvariant="normal">2</mml:mn></mml:mfrac></mml:mstyle><mml:mstyle displaystyle="true"><mml:mfrac style="display"><mml:mrow><mml:mo>(</mml:mo><mml:mi mathvariant="normal">Δ</mml:mi><mml:mi mathvariant="italic">χ</mml:mi><mml:msub><mml:mo>)</mml:mo><mml:mrow><mml:mi>j</mml:mi><mml:mo>,</mml:mo><mml:mi>j</mml:mi><mml:mo>-</mml:mo><mml:mn mathvariant="normal">4</mml:mn></mml:mrow></mml:msub></mml:mrow><mml:mrow><mml:msub><mml:mi>t</mml:mi><mml:mrow><mml:mi>j</mml:mi><mml:mo>,</mml:mo><mml:mi>j</mml:mi><mml:mo>-</mml:mo><mml:mn mathvariant="normal">4</mml:mn></mml:mrow></mml:msub></mml:mrow></mml:mfrac></mml:mstyle><mml:mo>-</mml:mo><mml:msub><mml:mi>L</mml:mi><mml:mi>j</mml:mi></mml:msub><mml:mo>.</mml:mo></mml:mrow></mml:mtd></mml:mtr></mml:mtable></mml:math></disp-formula>

          Equations (<xref ref-type="disp-formula" rid="Ch1.E1"/>), (<xref ref-type="disp-formula" rid="Ch1.E5"/>) and (<xref ref-type="disp-formula" rid="Ch1.E6"/>) are solved using a Runge-Kutta (RK4) method <xref ref-type="bibr" rid="bib1.bibx11" id="paren.79"><named-content content-type="pre">see e.g.</named-content></xref> with a time step of 48 h.</p>
<sec id="Ch1.S3.SS1.SSS1">
  <label>3.1.1</label><title>Transport coefficients</title>
      <p id="d2e3833">The mean meridional transport and eddy diffusion rates between the boxes vary seasonally but repeat annually. The advection parameters are taken from <xref ref-type="bibr" rid="bib1.bibx15" id="text.80"/>, which were derived from a study by <xref ref-type="bibr" rid="bib1.bibx69" id="text.81"/>. The original eddy diffusion terms estimated by <xref ref-type="bibr" rid="bib1.bibx14" id="text.82"/> have been adjusted in various ways in different studies. For example, <xref ref-type="bibr" rid="bib1.bibx96" id="text.83"/> optimised the parameters simultaneously with CFC-11, CFC-12, and CFC-113 and CH<sub>3</sub>CCl<sub>3</sub> lifetimes using AGAGE observations of those species, and <xref ref-type="bibr" rid="bib1.bibx92" id="text.84"/> attempted to account for some inter-annual variability in transport by scaling inter-hemispheric exchange rates as a function of climate indices such as the Southern Oscillation Index. Here, we use the parameterisation that has been used in recent studies <xref ref-type="bibr" rid="bib1.bibx41 bib1.bibx42" id="paren.85"><named-content content-type="pre">e.g.,</named-content></xref> in which interannually repeating eddy diffusion parameters were derived based on simulations of an inert tracer in the MOZART three-dimensional model <xref ref-type="bibr" rid="bib1.bibx19" id="paren.86"/>. MOZART was run using NCEP/NCAR reanalyses for SF<sub>6</sub> for the years 2007–2009, as described in <xref ref-type="bibr" rid="bib1.bibx95" id="text.87"/>. The box model mole fractions were compared to zonal mean mole fractions output from MOZART averaged over regions of the atmosphere chosen to be approximately representative of the mass-weighted centre of each box (45–80° for the extratropical boxes and 10–20° in the tropical boxes, and 1000–700, 400–300, and 100–50 hPa in the vertical). These seasonal advection and eddy diffusion parameters are summarised in Table <xref ref-type="table" rid="T3"/>. The temperature in each box, which is used to calculate OH losses, is applied monthly, but is inter-annually repeating and is taken from the 1990–2010 mean from the NCEP/NCAR reanalysis <xref ref-type="bibr" rid="bib1.bibx37" id="paren.88"/>.</p>

<table-wrap id="T3" specific-use="star"><label>Table 3</label><caption><p id="d2e3899">Transport parameters between boxes. Eddy diffusion parameters are available for transport between all boxes. Advection does not occur in the stratospheric boxes. Advection timescales are mass conserving.</p></caption><oasis:table frame="topbot"><oasis:tgroup cols="7">
     <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:thead>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1">Parameter</oasis:entry>
         <oasis:entry colname="col2">Box <inline-formula><mml:math id="M148" display="inline"><mml:mi>i</mml:mi></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col3">Box <inline-formula><mml:math id="M149" display="inline"><mml:mi>j</mml:mi></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col4">January–March</oasis:entry>
         <oasis:entry colname="col5">April–June</oasis:entry>
         <oasis:entry colname="col6">July–September</oasis:entry>
         <oasis:entry colname="col7">October–December</oasis:entry>
       </oasis:row>
     </oasis:thead>
     <oasis:tbody>
       <oasis:row>
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2">0</oasis:entry>
         <oasis:entry colname="col3">1</oasis:entry>
         <oasis:entry colname="col4">116</oasis:entry>
         <oasis:entry colname="col5">116</oasis:entry>
         <oasis:entry colname="col6">261</oasis:entry>
         <oasis:entry colname="col7">139</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2">1</oasis:entry>
         <oasis:entry colname="col3">2</oasis:entry>
         <oasis:entry colname="col4">495</oasis:entry>
         <oasis:entry colname="col5">712</oasis:entry>
         <oasis:entry colname="col6">363</oasis:entry>
         <oasis:entry colname="col7">712</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2">2</oasis:entry>
         <oasis:entry colname="col3">3</oasis:entry>
         <oasis:entry colname="col4">167</oasis:entry>
         <oasis:entry colname="col5">167</oasis:entry>
         <oasis:entry colname="col6">116</oasis:entry>
         <oasis:entry colname="col7">116</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2">4</oasis:entry>
         <oasis:entry colname="col3">5</oasis:entry>
         <oasis:entry colname="col4">29</oasis:entry>
         <oasis:entry colname="col5">35</oasis:entry>
         <oasis:entry colname="col6">85</oasis:entry>
         <oasis:entry colname="col7">52</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2">5</oasis:entry>
         <oasis:entry colname="col3">6</oasis:entry>
         <oasis:entry colname="col4">124</oasis:entry>
         <oasis:entry colname="col5">178</oasis:entry>
         <oasis:entry colname="col6">124</oasis:entry>
         <oasis:entry colname="col7">178</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2">6</oasis:entry>
         <oasis:entry colname="col3">7</oasis:entry>
         <oasis:entry colname="col4">52</oasis:entry>
         <oasis:entry colname="col5">42</oasis:entry>
         <oasis:entry colname="col6">29</oasis:entry>
         <oasis:entry colname="col7">42</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2">4</oasis:entry>
         <oasis:entry colname="col3">0</oasis:entry>
         <oasis:entry colname="col4">38</oasis:entry>
         <oasis:entry colname="col5">38</oasis:entry>
         <oasis:entry colname="col6">38</oasis:entry>
         <oasis:entry colname="col7">38</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Eddy diffusion, <inline-formula><mml:math id="M150" display="inline"><mml:mrow><mml:msubsup><mml:mi>t</mml:mi><mml:mrow><mml:mi>i</mml:mi><mml:mi>j</mml:mi></mml:mrow><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msubsup></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col2">5</oasis:entry>
         <oasis:entry colname="col3">1</oasis:entry>
         <oasis:entry colname="col4">38</oasis:entry>
         <oasis:entry colname="col5">38</oasis:entry>
         <oasis:entry colname="col6">38</oasis:entry>
         <oasis:entry colname="col7">38</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">(days)</oasis:entry>
         <oasis:entry colname="col2">6</oasis:entry>
         <oasis:entry colname="col3">2</oasis:entry>
         <oasis:entry colname="col4">38</oasis:entry>
         <oasis:entry colname="col5">38</oasis:entry>
         <oasis:entry colname="col6">38</oasis:entry>
         <oasis:entry colname="col7">38</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2">7</oasis:entry>
         <oasis:entry colname="col3">3</oasis:entry>
         <oasis:entry colname="col4">38</oasis:entry>
         <oasis:entry colname="col5">38</oasis:entry>
         <oasis:entry colname="col6">38</oasis:entry>
         <oasis:entry colname="col7">38</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2">8</oasis:entry>
         <oasis:entry colname="col3">4</oasis:entry>
         <oasis:entry colname="col4">1260</oasis:entry>
         <oasis:entry colname="col5">1260</oasis:entry>
         <oasis:entry colname="col6">1260</oasis:entry>
         <oasis:entry colname="col7">1260</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2">9</oasis:entry>
         <oasis:entry colname="col3">5</oasis:entry>
         <oasis:entry colname="col4">1260</oasis:entry>
         <oasis:entry colname="col5">1260</oasis:entry>
         <oasis:entry colname="col6">1260</oasis:entry>
         <oasis:entry colname="col7">1260</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2">10</oasis:entry>
         <oasis:entry colname="col3">6</oasis:entry>
         <oasis:entry colname="col4">1260</oasis:entry>
         <oasis:entry colname="col5">1260</oasis:entry>
         <oasis:entry colname="col6">1260</oasis:entry>
         <oasis:entry colname="col7">1260</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2">11</oasis:entry>
         <oasis:entry colname="col3">7</oasis:entry>
         <oasis:entry colname="col4">1260</oasis:entry>
         <oasis:entry colname="col5">1260</oasis:entry>
         <oasis:entry colname="col6">1260</oasis:entry>
         <oasis:entry colname="col7">1260</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2">8</oasis:entry>
         <oasis:entry colname="col3">9</oasis:entry>
         <oasis:entry colname="col4">100</oasis:entry>
         <oasis:entry colname="col5">100</oasis:entry>
         <oasis:entry colname="col6">100</oasis:entry>
         <oasis:entry colname="col7">100</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2">9</oasis:entry>
         <oasis:entry colname="col3">10</oasis:entry>
         <oasis:entry colname="col4">100</oasis:entry>
         <oasis:entry colname="col5">100</oasis:entry>
         <oasis:entry colname="col6">100</oasis:entry>
         <oasis:entry colname="col7">100</oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2">10</oasis:entry>
         <oasis:entry colname="col3">11</oasis:entry>
         <oasis:entry colname="col4">100</oasis:entry>
         <oasis:entry colname="col5">100</oasis:entry>
         <oasis:entry colname="col6">100</oasis:entry>
         <oasis:entry colname="col7">100</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2">0</oasis:entry>
         <oasis:entry colname="col3">1</oasis:entry>
         <oasis:entry colname="col4"><inline-formula><mml:math id="M151" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>1506</oasis:entry>
         <oasis:entry colname="col5">581</oasis:entry>
         <oasis:entry colname="col6">1882</oasis:entry>
         <oasis:entry colname="col7"><inline-formula><mml:math id="M152" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>442</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2">1</oasis:entry>
         <oasis:entry colname="col3">2</oasis:entry>
         <oasis:entry colname="col4"><inline-formula><mml:math id="M153" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>69</oasis:entry>
         <oasis:entry colname="col5"><inline-formula><mml:math id="M154" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>376</oasis:entry>
         <oasis:entry colname="col6">50</oasis:entry>
         <oasis:entry colname="col7">126</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2">2</oasis:entry>
         <oasis:entry colname="col3">3</oasis:entry>
         <oasis:entry colname="col4">1506</oasis:entry>
         <oasis:entry colname="col5">1075</oasis:entry>
         <oasis:entry colname="col6">753</oasis:entry>
         <oasis:entry colname="col7">1506</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2">4</oasis:entry>
         <oasis:entry colname="col3">5</oasis:entry>
         <oasis:entry colname="col4">1506</oasis:entry>
         <oasis:entry colname="col5"><inline-formula><mml:math id="M155" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>581</oasis:entry>
         <oasis:entry colname="col6"><inline-formula><mml:math id="M156" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>1882</oasis:entry>
         <oasis:entry colname="col7">442</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Advection, <inline-formula><mml:math id="M157" display="inline"><mml:mrow><mml:msub><mml:mi>V</mml:mi><mml:mrow><mml:mi>i</mml:mi><mml:mi>j</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col2">5</oasis:entry>
         <oasis:entry colname="col3">6</oasis:entry>
         <oasis:entry colname="col4">69</oasis:entry>
         <oasis:entry colname="col5">376</oasis:entry>
         <oasis:entry colname="col6"><inline-formula><mml:math id="M158" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>50</oasis:entry>
         <oasis:entry colname="col7"><inline-formula><mml:math id="M159" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>126</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">(d<sup>−1</sup>)</oasis:entry>
         <oasis:entry colname="col2">6</oasis:entry>
         <oasis:entry colname="col3">7</oasis:entry>
         <oasis:entry colname="col4"><inline-formula><mml:math id="M161" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>1506</oasis:entry>
         <oasis:entry colname="col5"><inline-formula><mml:math id="M162" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>1075</oasis:entry>
         <oasis:entry colname="col6"><inline-formula><mml:math id="M163" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>753</oasis:entry>
         <oasis:entry colname="col7"><inline-formula><mml:math id="M164" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>1506</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2">4</oasis:entry>
         <oasis:entry colname="col3">0</oasis:entry>
         <oasis:entry colname="col4"><inline-formula><mml:math id="M165" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>1506</oasis:entry>
         <oasis:entry colname="col5">581</oasis:entry>
         <oasis:entry colname="col6">1882</oasis:entry>
         <oasis:entry colname="col7"><inline-formula><mml:math id="M166" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>442</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2">5</oasis:entry>
         <oasis:entry colname="col3">1</oasis:entry>
         <oasis:entry colname="col4"><inline-formula><mml:math id="M167" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>72</oasis:entry>
         <oasis:entry colname="col5"><inline-formula><mml:math id="M168" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>228</oasis:entry>
         <oasis:entry colname="col6">52</oasis:entry>
         <oasis:entry colname="col7">98</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2">6</oasis:entry>
         <oasis:entry colname="col3">2</oasis:entry>
         <oasis:entry colname="col4">65</oasis:entry>
         <oasis:entry colname="col5">279</oasis:entry>
         <oasis:entry colname="col6"><inline-formula><mml:math id="M169" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>54</oasis:entry>
         <oasis:entry colname="col7"><inline-formula><mml:math id="M170" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>137</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2">7</oasis:entry>
         <oasis:entry colname="col3">3</oasis:entry>
         <oasis:entry colname="col4"><inline-formula><mml:math id="M171" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>1202</oasis:entry>
         <oasis:entry colname="col5"><inline-formula><mml:math id="M172" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>1087</oasis:entry>
         <oasis:entry colname="col6"><inline-formula><mml:math id="M173" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>804</oasis:entry>
         <oasis:entry colname="col7"><inline-formula><mml:math id="M174" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>1556</oasis:entry>
       </oasis:row>
     </oasis:tbody>
   </oasis:tgroup></oasis:table></table-wrap>

</sec>
</sec>
<sec id="Ch1.S3.SS2">
  <label>3.2</label><title>Sinks and loss processes</title>
      <p id="d2e4806">The 12-box model has various loss processes, depending on the compound and box, which are summarised in Table <xref ref-type="table" rid="T4"/>. Where target lifetimes in the literature are given as a range, the median (with respect to the inverse lifetime, or loss frequency) is used. Compounds with total atmospheric lifetimes greater than 10 000 years are considered to have no atmospheric sink.</p>

<table-wrap id="T4" specific-use="star"><label>Table 4</label><caption><p id="d2e4814">The loss coefficients for losses due to reaction with OH and the target lifetimes for loss process in the stratosphere, due to soil/ocean uptake and tropospheric losses other than OH. Losses due to OH are taken from <xref ref-type="bibr" rid="bib1.bibx9" id="text.89"/> and target lifetimes are taken from <xref ref-type="bibr" rid="bib1.bibx10" id="text.90"/>, where available. The stratospheric lifetime of methane is taken from <xref ref-type="bibr" rid="bib1.bibx62" id="text.91"/>. OH<sub>A</sub> is the Arrhenius factor and OH<sub><italic>E</italic>∕<italic>R</italic></sub> is the molar activation energy. Citations for these values are provided in the text.</p></caption><oasis:table frame="topbot"><oasis:tgroup cols="7">
     <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:thead>
       <oasis:row>
         <oasis:entry colname="col1">Compound</oasis:entry>
         <oasis:entry colname="col2">OH<sub>A</sub></oasis:entry>
         <oasis:entry colname="col3">OH<sub><italic>E</italic>∕<italic>R</italic></sub></oasis:entry>
         <oasis:entry colname="col4">OH tropospheric</oasis:entry>
         <oasis:entry colname="col5">Stratospheric</oasis:entry>
         <oasis:entry colname="col6">Non-OH tropospheric</oasis:entry>
         <oasis:entry colname="col7">Soil/ocean</oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2"/>
         <oasis:entry colname="col3"/>
         <oasis:entry colname="col4">lifetime (years)</oasis:entry>
         <oasis:entry colname="col5">lifetime (years)</oasis:entry>
         <oasis:entry colname="col6">lifetime (years)</oasis:entry>
         <oasis:entry colname="col7">lifetime (years)</oasis:entry>
       </oasis:row>
     </oasis:thead>
     <oasis:tbody>
       <oasis:row>
         <oasis:entry colname="col1">CF<sub>4</sub></oasis:entry>
         <oasis:entry colname="col2">1.00 <inline-formula><mml:math id="M180" display="inline"><mml:mrow><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="normal">10</mml:mn><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">30</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col3">1600</oasis:entry>
         <oasis:entry colname="col4"/>
         <oasis:entry colname="col5">50 000</oasis:entry>
         <oasis:entry colname="col6"/>
         <oasis:entry colname="col7"/>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">C<sub>2</sub>F<sub>6</sub></oasis:entry>
         <oasis:entry colname="col2">1.00 <inline-formula><mml:math id="M183" display="inline"><mml:mrow><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="normal">10</mml:mn><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">30</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col3">1600</oasis:entry>
         <oasis:entry colname="col4"/>
         <oasis:entry colname="col5">10 000</oasis:entry>
         <oasis:entry colname="col6"/>
         <oasis:entry colname="col7"/>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">C<sub>3</sub>F<sub>8</sub></oasis:entry>
         <oasis:entry colname="col2">1.00 <inline-formula><mml:math id="M186" display="inline"><mml:mrow><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="normal">10</mml:mn><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">30</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col3">1600</oasis:entry>
         <oasis:entry colname="col4"/>
         <oasis:entry colname="col5">2600</oasis:entry>
         <oasis:entry colname="col6"/>
         <oasis:entry colname="col7"/>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"><italic>c</italic>-C<sub>4</sub>F<sub>8</sub></oasis:entry>
         <oasis:entry colname="col2">1.00 <inline-formula><mml:math id="M189" display="inline"><mml:mrow><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="normal">10</mml:mn><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">30</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col3">1600</oasis:entry>
         <oasis:entry colname="col4"/>
         <oasis:entry colname="col5">3200</oasis:entry>
         <oasis:entry colname="col6"/>
         <oasis:entry colname="col7"/>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">CFC-11</oasis:entry>
         <oasis:entry colname="col2">1.00 <inline-formula><mml:math id="M190" display="inline"><mml:mrow><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="normal">10</mml:mn><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">11</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col3">9700</oasis:entry>
         <oasis:entry colname="col4"/>
         <oasis:entry colname="col5">55</oasis:entry>
         <oasis:entry colname="col6"/>
         <oasis:entry colname="col7"/>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">CFC-12</oasis:entry>
         <oasis:entry colname="col2">1.00 <inline-formula><mml:math id="M191" display="inline"><mml:mrow><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="normal">10</mml:mn><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">11</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col3">11 900</oasis:entry>
         <oasis:entry colname="col4"/>
         <oasis:entry colname="col5">103</oasis:entry>
         <oasis:entry colname="col6"/>
         <oasis:entry colname="col7"/>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">CFC-13</oasis:entry>
         <oasis:entry colname="col2">1.00 <inline-formula><mml:math id="M192" display="inline"><mml:mrow><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="normal">10</mml:mn><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">30</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col3">1600</oasis:entry>
         <oasis:entry colname="col4"/>
         <oasis:entry colname="col5">640</oasis:entry>
         <oasis:entry colname="col6"/>
         <oasis:entry colname="col7"/>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">CFC-113</oasis:entry>
         <oasis:entry colname="col2">1.00 <inline-formula><mml:math id="M193" display="inline"><mml:mrow><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="normal">10</mml:mn><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">11</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col3">6200</oasis:entry>
         <oasis:entry colname="col4"/>
         <oasis:entry colname="col5">94.5</oasis:entry>
         <oasis:entry colname="col6"/>
         <oasis:entry colname="col7"/>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">CFC-114</oasis:entry>
         <oasis:entry colname="col2">1.00 <inline-formula><mml:math id="M194" display="inline"><mml:mrow><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="normal">10</mml:mn><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">11</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col3">6200</oasis:entry>
         <oasis:entry colname="col4"/>
         <oasis:entry colname="col5">191</oasis:entry>
         <oasis:entry colname="col6"/>
         <oasis:entry colname="col7"/>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">CFC-115</oasis:entry>
         <oasis:entry colname="col2">1.00 <inline-formula><mml:math id="M195" display="inline"><mml:mrow><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="normal">10</mml:mn><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">11</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col3">6200</oasis:entry>
         <oasis:entry colname="col4"/>
         <oasis:entry colname="col5">664</oasis:entry>
         <oasis:entry colname="col6"/>
         <oasis:entry colname="col7"/>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">HCFC-22</oasis:entry>
         <oasis:entry colname="col2">9.20 <inline-formula><mml:math id="M196" display="inline"><mml:mrow><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="normal">10</mml:mn><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">13</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col3">1560</oasis:entry>
         <oasis:entry colname="col4">12.6</oasis:entry>
         <oasis:entry colname="col5">120</oasis:entry>
         <oasis:entry colname="col6"/>
         <oasis:entry colname="col7">1174</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">HCFC-124</oasis:entry>
         <oasis:entry colname="col2">7.10 <inline-formula><mml:math id="M197" display="inline"><mml:mrow><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="normal">10</mml:mn><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">13</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col3">1300</oasis:entry>
         <oasis:entry colname="col4">6.3</oasis:entry>
         <oasis:entry colname="col5">105</oasis:entry>
         <oasis:entry colname="col6"/>
         <oasis:entry colname="col7">1855</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">HCFC-132b</oasis:entry>
         <oasis:entry colname="col2">3.60 <inline-formula><mml:math id="M198" display="inline"><mml:mrow><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="normal">10</mml:mn><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">12</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col3">1600</oasis:entry>
         <oasis:entry colname="col4">3.8</oasis:entry>
         <oasis:entry colname="col5">57.5</oasis:entry>
         <oasis:entry colname="col6"/>
         <oasis:entry colname="col7"/>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">HCFC-133a</oasis:entry>
         <oasis:entry colname="col2">9.40 <inline-formula><mml:math id="M199" display="inline"><mml:mrow><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="normal">10</mml:mn><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">13</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col3">1300</oasis:entry>
         <oasis:entry colname="col4">4.8</oasis:entry>
         <oasis:entry colname="col5">82.6</oasis:entry>
         <oasis:entry colname="col6"/>
         <oasis:entry colname="col7"/>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">HCFC-141b</oasis:entry>
         <oasis:entry colname="col2">1.25 <inline-formula><mml:math id="M200" display="inline"><mml:mrow><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="normal">10</mml:mn><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">12</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col3">1600</oasis:entry>
         <oasis:entry colname="col4">10.4</oasis:entry>
         <oasis:entry colname="col5">49.4</oasis:entry>
         <oasis:entry colname="col6"/>
         <oasis:entry colname="col7">9190</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">HCFC-142b</oasis:entry>
         <oasis:entry colname="col2">1.30 <inline-formula><mml:math id="M201" display="inline"><mml:mrow><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="normal">10</mml:mn><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">12</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col3">1770</oasis:entry>
         <oasis:entry colname="col4">19.3</oasis:entry>
         <oasis:entry colname="col5">148</oasis:entry>
         <oasis:entry colname="col6"/>
         <oasis:entry colname="col7">122 200</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">CCl<sub>4</sub></oasis:entry>
         <oasis:entry colname="col2">1.00 <inline-formula><mml:math id="M203" display="inline"><mml:mrow><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="normal">10</mml:mn><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">11</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col3">6200</oasis:entry>
         <oasis:entry colname="col4"/>
         <oasis:entry colname="col5">44</oasis:entry>
         <oasis:entry colname="col6"/>
         <oasis:entry colname="col7">93</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">CH<sub>2</sub>Cl<sub>2</sub></oasis:entry>
         <oasis:entry colname="col2">1.92 <inline-formula><mml:math id="M206" display="inline"><mml:mrow><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="normal">10</mml:mn><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">12</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col3">880</oasis:entry>
         <oasis:entry colname="col4">0.5</oasis:entry>
         <oasis:entry colname="col5"/>
         <oasis:entry colname="col6"/>
         <oasis:entry colname="col7">4211</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">CH<sub>3</sub>CCl<sub>3</sub></oasis:entry>
         <oasis:entry colname="col2">1.64 <inline-formula><mml:math id="M209" display="inline"><mml:mrow><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="normal">10</mml:mn><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">12</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col3">1520</oasis:entry>
         <oasis:entry colname="col4">5.9</oasis:entry>
         <oasis:entry colname="col5">38</oasis:entry>
         <oasis:entry colname="col6"/>
         <oasis:entry colname="col7">94</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">CH<sub>3</sub>Cl</oasis:entry>
         <oasis:entry colname="col2">1.96 <inline-formula><mml:math id="M211" display="inline"><mml:mrow><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="normal">10</mml:mn><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">12</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col3">1200</oasis:entry>
         <oasis:entry colname="col4">1.5</oasis:entry>
         <oasis:entry colname="col5">30.4</oasis:entry>
         <oasis:entry colname="col6"/>
         <oasis:entry colname="col7">3.11</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">CHCl<sub>3</sub></oasis:entry>
         <oasis:entry colname="col2">2.20 <inline-formula><mml:math id="M213" display="inline"><mml:mrow><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="normal">10</mml:mn><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">12</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col3">920</oasis:entry>
         <oasis:entry colname="col4">0.5</oasis:entry>
         <oasis:entry colname="col5"/>
         <oasis:entry colname="col6"/>
         <oasis:entry colname="col7"/>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">CCl<sub>2</sub>=CCl<sub>2</sub></oasis:entry>
         <oasis:entry colname="col2">4.70 <inline-formula><mml:math id="M216" display="inline"><mml:mrow><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="normal">10</mml:mn><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">12</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col3">990</oasis:entry>
         <oasis:entry colname="col4">0.4</oasis:entry>
         <oasis:entry colname="col5"/>
         <oasis:entry colname="col6"/>
         <oasis:entry colname="col7"/>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">CH<sub>4</sub></oasis:entry>
         <oasis:entry colname="col2">2.45 <inline-formula><mml:math id="M218" display="inline"><mml:mrow><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="normal">10</mml:mn><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">12</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col3">1775</oasis:entry>
         <oasis:entry colname="col4">10.4</oasis:entry>
         <oasis:entry colname="col5">150</oasis:entry>
         <oasis:entry colname="col6"/>
         <oasis:entry colname="col7"/>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">H-1211</oasis:entry>
         <oasis:entry colname="col2">1.00 <inline-formula><mml:math id="M219" display="inline"><mml:mrow><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="normal">10</mml:mn><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">12</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col3">3500</oasis:entry>
         <oasis:entry colname="col4"/>
         <oasis:entry colname="col5">41</oasis:entry>
         <oasis:entry colname="col6">26.24</oasis:entry>
         <oasis:entry colname="col7"/>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">H-1301</oasis:entry>
         <oasis:entry colname="col2">1.00 <inline-formula><mml:math id="M220" display="inline"><mml:mrow><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="normal">10</mml:mn><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">12</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col3">3600</oasis:entry>
         <oasis:entry colname="col4"/>
         <oasis:entry colname="col5">73.5</oasis:entry>
         <oasis:entry colname="col6">3528</oasis:entry>
         <oasis:entry colname="col7"/>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">H-2402</oasis:entry>
         <oasis:entry colname="col2">1.00 <inline-formula><mml:math id="M221" display="inline"><mml:mrow><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="normal">10</mml:mn><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">12</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col3">3600</oasis:entry>
         <oasis:entry colname="col4"/>
         <oasis:entry colname="col5">41</oasis:entry>
         <oasis:entry colname="col6">88.3</oasis:entry>
         <oasis:entry colname="col7"/>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">CH<sub>3</sub>Br</oasis:entry>
         <oasis:entry colname="col2">1.42 <inline-formula><mml:math id="M223" display="inline"><mml:mrow><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="normal">10</mml:mn><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">12</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col3">1150</oasis:entry>
         <oasis:entry colname="col4">1.7</oasis:entry>
         <oasis:entry colname="col5">26.3</oasis:entry>
         <oasis:entry colname="col6"/>
         <oasis:entry colname="col7">1.61</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">HFC-23</oasis:entry>
         <oasis:entry colname="col2">6.10 <inline-formula><mml:math id="M224" display="inline"><mml:mrow><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="normal">10</mml:mn><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">13</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col3">2260</oasis:entry>
         <oasis:entry colname="col4">248.8</oasis:entry>
         <oasis:entry colname="col5">3636</oasis:entry>
         <oasis:entry colname="col6"/>
         <oasis:entry colname="col7"/>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">HFC-32</oasis:entry>
         <oasis:entry colname="col2">1.70 <inline-formula><mml:math id="M225" display="inline"><mml:mrow><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="normal">10</mml:mn><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">12</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col3">1500</oasis:entry>
         <oasis:entry colname="col4">5.5</oasis:entry>
         <oasis:entry colname="col5">146</oasis:entry>
         <oasis:entry colname="col6"/>
         <oasis:entry colname="col7"/>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">HFC-125</oasis:entry>
         <oasis:entry colname="col2">5.16 <inline-formula><mml:math id="M226" display="inline"><mml:mrow><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="normal">10</mml:mn><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">13</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col3">1670</oasis:entry>
         <oasis:entry colname="col4">34.1</oasis:entry>
         <oasis:entry colname="col5">665</oasis:entry>
         <oasis:entry colname="col6"/>
         <oasis:entry colname="col7">10 650</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">HFC-134a</oasis:entry>
         <oasis:entry colname="col2">1.03 <inline-formula><mml:math id="M227" display="inline"><mml:mrow><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="normal">10</mml:mn><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">12</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col3">1620</oasis:entry>
         <oasis:entry colname="col4">14.2</oasis:entry>
         <oasis:entry colname="col5">313</oasis:entry>
         <oasis:entry colname="col6"/>
         <oasis:entry colname="col7">5909</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">HFC-143a</oasis:entry>
         <oasis:entry colname="col2">1.07 <inline-formula><mml:math id="M228" display="inline"><mml:mrow><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="normal">10</mml:mn><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">12</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col3">2000</oasis:entry>
         <oasis:entry colname="col4">54.9</oasis:entry>
         <oasis:entry colname="col5">548</oasis:entry>
         <oasis:entry colname="col6"/>
         <oasis:entry colname="col7"/>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">HFC-152a</oasis:entry>
         <oasis:entry colname="col2">8.70 <inline-formula><mml:math id="M229" display="inline"><mml:mrow><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="normal">10</mml:mn><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">13</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col3">975</oasis:entry>
         <oasis:entry colname="col4">1.5</oasis:entry>
         <oasis:entry colname="col5">44.3</oasis:entry>
         <oasis:entry colname="col6"/>
         <oasis:entry colname="col7">1958</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">HFC-227ea</oasis:entry>
         <oasis:entry colname="col2">4.80 <inline-formula><mml:math id="M230" display="inline"><mml:mrow><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="normal">10</mml:mn><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">13</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col3">1680</oasis:entry>
         <oasis:entry colname="col4">38.0</oasis:entry>
         <oasis:entry colname="col5">754</oasis:entry>
         <oasis:entry colname="col6"/>
         <oasis:entry colname="col7"/>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">HFC-236fa</oasis:entry>
         <oasis:entry colname="col2">1.45 <inline-formula><mml:math id="M231" display="inline"><mml:mrow><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="normal">10</mml:mn><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">12</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col3">2500</oasis:entry>
         <oasis:entry colname="col4">247.0</oasis:entry>
         <oasis:entry colname="col5">136</oasis:entry>
         <oasis:entry colname="col6"/>
         <oasis:entry colname="col7"/>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">HFC-245fa</oasis:entry>
         <oasis:entry colname="col2">6.10 <inline-formula><mml:math id="M232" display="inline"><mml:mrow><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="normal">10</mml:mn><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">13</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col3">1330</oasis:entry>
         <oasis:entry colname="col4">8.2</oasis:entry>
         <oasis:entry colname="col5">153.8</oasis:entry>
         <oasis:entry colname="col6"/>
         <oasis:entry colname="col7"/>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">HFC-365mfc</oasis:entry>
         <oasis:entry colname="col2">1.80 <inline-formula><mml:math id="M233" display="inline"><mml:mrow><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="normal">10</mml:mn><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">12</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col3">1660</oasis:entry>
         <oasis:entry colname="col4">9.4</oasis:entry>
         <oasis:entry colname="col5">188</oasis:entry>
         <oasis:entry colname="col6"/>
         <oasis:entry colname="col7"/>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">HFC-43-10mee</oasis:entry>
         <oasis:entry colname="col2">5.20 <inline-formula><mml:math id="M234" display="inline"><mml:mrow><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="normal">10</mml:mn><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">13</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col3">1500</oasis:entry>
         <oasis:entry colname="col4">18.1</oasis:entry>
         <oasis:entry colname="col5">360</oasis:entry>
         <oasis:entry colname="col6"/>
         <oasis:entry colname="col7"/>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">N<sub>2</sub>O</oasis:entry>
         <oasis:entry colname="col2">1.00 <inline-formula><mml:math id="M236" display="inline"><mml:mrow><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="normal">10</mml:mn><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">30</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col3">1600</oasis:entry>
         <oasis:entry colname="col4"/>
         <oasis:entry colname="col5">109</oasis:entry>
         <oasis:entry colname="col6"/>
         <oasis:entry colname="col7"/>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">NF<sub>3</sub></oasis:entry>
         <oasis:entry colname="col2">1.00 <inline-formula><mml:math id="M238" display="inline"><mml:mrow><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="normal">10</mml:mn><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">30</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col3">1600</oasis:entry>
         <oasis:entry colname="col4"/>
         <oasis:entry colname="col5">740</oasis:entry>
         <oasis:entry colname="col6"/>
         <oasis:entry colname="col7"/>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">SF<sub>6</sub></oasis:entry>
         <oasis:entry colname="col2">1.00 <inline-formula><mml:math id="M240" display="inline"><mml:mrow><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="normal">10</mml:mn><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">30</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col3">1600</oasis:entry>
         <oasis:entry colname="col4"/>
         <oasis:entry colname="col5">1065</oasis:entry>
         <oasis:entry colname="col6"/>
         <oasis:entry colname="col7"/>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">SO<sub>2</sub>F<sub>2</sub></oasis:entry>
         <oasis:entry colname="col2">1.00 <inline-formula><mml:math id="M243" display="inline"><mml:mrow><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="normal">10</mml:mn><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">30</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col3">1600</oasis:entry>
         <oasis:entry colname="col4"/>
         <oasis:entry colname="col5">630</oasis:entry>
         <oasis:entry colname="col6"/>
         <oasis:entry colname="col7">40</oasis:entry>
       </oasis:row>
     </oasis:tbody>
   </oasis:tgroup></oasis:table></table-wrap>

      <p id="d2e6737">Losses due to the reaction with the hydroxyl radical (OH), for compounds with non-negligible OH losses, are calculated in the tropospheric boxes (boxes 0–7, see Fig. <xref ref-type="fig" rid="F2"/>). The concentrations of OH <xref ref-type="bibr" rid="bib1.bibx115" id="paren.92"><named-content content-type="pre">taken from</named-content></xref> are seasonally varying but annually repeating and the OH field is  adjusted so that the model mole fraction simulation of CH<sub>3</sub>CCl<sub>3</sub>, whose loss is dominated by OH, is consistent with AGAGE observations <xref ref-type="bibr" rid="bib1.bibx96" id="paren.93"><named-content content-type="pre">using an approach similar to</named-content><named-content content-type="post">but for inter-annually repeating, rather than inter-annually varying OH</named-content></xref>. All compounds are passive with respect to the OH loss, meaning that there is no loss of OH due to the sink process. Losses due to OH are computed using a first-order rate constant, using the Arrhenius equation and the temperature fields from Sect. <xref ref-type="sec" rid="Ch1.S3.SS1.SSS1"/>. The Arrhenius factor and molar activation energy for each compound are taken from <xref ref-type="bibr" rid="bib1.bibx9" id="text.94"/>. Where the OH sink is thought to be negligible and is not reported, a default Arrhenius factor of 1 <inline-formula><mml:math id="M246" display="inline"><mml:mrow><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="normal">10</mml:mn><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">30</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M247" display="inline"><mml:mrow><mml:mi>E</mml:mi><mml:mo>/</mml:mo><mml:mi>R</mml:mi></mml:mrow></mml:math></inline-formula> factor of 1600 is assumed.</p>
      <p id="d2e6808">Losses in the stratosphere (boxes 8–11 in Fig. <xref ref-type="fig" rid="F2"/>), due to reaction with excited atomic oxygen, stratospheric OH and photolysis are calculated using a single first-order loss frequency that accounts for the overall loss due to these processes. Lyman-<inline-formula><mml:math id="M248" display="inline"><mml:mi mathvariant="italic">α</mml:mi></mml:math></inline-formula> photolysis is treated as a loss in the stratospheric boxes in the model, even though this sink is a mesospheric loss process. A suitable first-order rate constant for stratospheric losses for each compound is found by optimisation, such that the steady-state stratospheric lifetime equals that in <xref ref-type="bibr" rid="bib1.bibx10" id="text.95"/>. An exception is the stratospheric lifetime of methane, which is taken from <xref ref-type="bibr" rid="bib1.bibx62" id="text.96"/>. Initial stratospheric losses are distributed latitudinally and temporally following <xref ref-type="bibr" rid="bib1.bibx28" id="text.97"/>, and these values are adjusted by a single factor in the optimisation, such that the relative temporal and spatial gradients are not altered. Target stratospheric steady state lifetimes are summarised in Table <xref ref-type="table" rid="T4"/>.</p>
      <p id="d2e6832">Compounds with sink processes due to ocean and/or soil uptake have losses in the lowest layer boxes (0–3 in Fig. <xref ref-type="fig" rid="F2"/>). In a similar manner to the stratospheric losses, ocean and soil losses are treated together as a single loss process. These losses are computed as a first-order loss, where the first order rate constant is optimised to give the steady-state target lifetime of the total soil and ocean loss <xref ref-type="bibr" rid="bib1.bibx9 bib1.bibx147" id="paren.98"/>.</p>
      <p id="d2e6840">For methane, loss from reaction with the chlorine radical is included in the model. The chlorine distribution is taken from <xref ref-type="bibr" rid="bib1.bibx107" id="text.99"/>. First order rate constants are calculated using the Arrhenius equation <xref ref-type="bibr" rid="bib1.bibx10" id="paren.100"/>.</p>
      <p id="d2e6849">Tropospheric loss processes so far not addressed are present for some compounds, such as a non-negligible photolysis sink in the troposphere. These other tropospheric sinks are implemented in boxes 4–7 (Fig. <xref ref-type="fig" rid="F2"/>) using a first-order rate constant that is optimised in a similar way to that of the stratospheric and ocean/soil sinks, using a target tropospheric lifetime <xref ref-type="bibr" rid="bib1.bibx10" id="paren.101"/>, considering the other loss processes present. The spatial and temporal gradient of this loss follows that of loss from tropospheric OH.</p>
</sec>
</sec>
<sec id="Ch1.S4">
  <label>4</label><title>Inverse method</title>
      <p id="d2e6866">The emission and global mole fraction trends for the compounds listed in Table <xref ref-type="table" rid="T1"/> are derived using an inverse modelling framework. The approach relies on the measurements described in Sect. <xref ref-type="sec" rid="Ch1.S2"/>, and a priori emissions estimates, to inform an estimate of emissions and mole fraction trends using Bayesian inference (Sect. <xref ref-type="sec" rid="Ch1.S4.SS2"/>). This section describes the statistical framework to derive these estimates, the treatment of errors and uncertainties, and the a priori emissions used.</p>
<sec id="Ch1.S4.SS1">
  <label>4.1</label><title>Statistical framework</title>
      <p id="d2e6882">The inverse framework here generally follows that of <xref ref-type="bibr" rid="bib1.bibx94 bib1.bibx97" id="text.102"/>. Emissions are derived based on the comparison of simulated mole fractions in the surface boxes and monthly background mean AGAGE observations. The monthly mean mole fraction in each box is calculated as the mean of the monthly mean mole fractions from all available measurement sites located in that box. We define <inline-formula><mml:math id="M249" display="inline"><mml:mi mathvariant="bold-italic">x</mml:mi></mml:math></inline-formula> as the deviation (in Gg yr<sup>−1</sup>) from an a priori estimate of emissions taken from available bottom-up estimates of global emissions in the literature, <inline-formula><mml:math id="M251" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="bold-italic">x</mml:mi><mml:mi>a</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> (see Sect. <xref ref-type="sec" rid="Ch1.S4.SS2"/>). The corresponding observation <inline-formula><mml:math id="M252" display="inline"><mml:mi mathvariant="bold-italic">y</mml:mi></mml:math></inline-formula> is the deviation of the measured mole fractions from the modelled mole fraction using these a priori emissions. The relationship between the difference in emissions and surface mole fraction from the a priori estimate is

            <disp-formula id="Ch1.E7" content-type="numbered"><label>7</label><mml:math id="M253" display="block"><mml:mrow><mml:mi mathvariant="bold-italic">y</mml:mi><mml:mo>=</mml:mo><mml:mi mathvariant="bold">H</mml:mi><mml:mi mathvariant="bold-italic">x</mml:mi><mml:mo>+</mml:mo><mml:mi mathvariant="bold-italic">ϵ</mml:mi><mml:mo>,</mml:mo></mml:mrow></mml:math></disp-formula>

          where <inline-formula><mml:math id="M254" display="inline"><mml:mi mathvariant="bold">H</mml:mi></mml:math></inline-formula> is a sensitivity matrix relating emissions to surface mole fractions and <inline-formula><mml:math id="M255" display="inline"><mml:mi mathvariant="bold-italic">ϵ</mml:mi></mml:math></inline-formula> is a stochastic error, resulting from error in the mole fraction measurements. The vector <inline-formula><mml:math id="M256" display="inline"><mml:mi mathvariant="bold-italic">x</mml:mi></mml:math></inline-formula> is derived either monthly, seasonally or annually for each box, depending on the compound in question (see Table S1 in the Supplement for this information). The sensitivity matrix <inline-formula><mml:math id="M257" display="inline"><mml:mi mathvariant="bold">H</mml:mi></mml:math></inline-formula> is derived using the linear relationship between emissions and surface mole fractions by running the model with base (a priori) emissions and again with perturbed emissions (<inline-formula><mml:math id="M258" display="inline"><mml:mo lspace="0mm">+</mml:mo></mml:math></inline-formula>1 Gg) for each surface box for each time period defined in Table S1. The sensitivity of the mole fraction to emissions is calculated until the end of the period where measurements are available. The surface mole fractions (deviation), <inline-formula><mml:math id="M259" display="inline"><mml:mi mathvariant="bold-italic">y</mml:mi></mml:math></inline-formula>, are baseline monthly means as detailed in Sect. <xref ref-type="sec" rid="Ch1.S2.SS3"/>.</p>
      <p id="d2e6993">An initial first guess at the initial conditions of the mole fraction in the 12 boxes of the model uses a nine-year spin-up period using the a priori emissions field. The initial conditions (and <inline-formula><mml:math id="M260" display="inline"><mml:mi mathvariant="bold">H</mml:mi></mml:math></inline-formula>) are recursively adjusted to approximate the measurements using the a priori emissions. Sensitivities (and derived emissions) begin three years before the earliest measurement. These initial three years account for model spin-up and are not included in the output data sets.</p>
      <p id="d2e7003">Under the Bayesian framework, we choose to place a prior constraint on the growth in emissions, rather than their absolute value <xref ref-type="bibr" rid="bib1.bibx94" id="paren.103"/>. The growth matrix <inline-formula><mml:math id="M261" display="inline"><mml:mi mathvariant="bold">D</mml:mi></mml:math></inline-formula> operates on the emissions <inline-formula><mml:math id="M262" display="inline"><mml:mi mathvariant="bold-italic">x</mml:mi></mml:math></inline-formula>, to produce an emissions growth value, which we constrain by the a priori emissions growth <inline-formula><mml:math id="M263" display="inline"><mml:mi mathvariant="bold-italic">g</mml:mi></mml:math></inline-formula>. The uncertainty in the a priori emissions growth is taken as a percentage of the maximum a priori emissions, and the percentages used are defined in Table S1 for each compound, where no box will have a growth less than 1 % of the maximum global growth. Uncertainty in this growth is assumed to be independent between boxes and time steps, which we contain in the matrix <inline-formula><mml:math id="M264" display="inline"><mml:mi mathvariant="bold">P</mml:mi></mml:math></inline-formula>.</p>
      <p id="d2e7037">We separate the random and systematic errors due to the measurements and modelling. Only the random components are included in the statistical evaluation of <inline-formula><mml:math id="M265" display="inline"><mml:mi mathvariant="bold-italic">x</mml:mi></mml:math></inline-formula> and are assumed to be uncorrelated between boxes and time steps. These random errors are contained in the matrix <inline-formula><mml:math id="M266" display="inline"><mml:mi mathvariant="bold">R</mml:mi></mml:math></inline-formula>. The diagonal is composed of the quadratic sum of the typical measurement error (given in Table S1) and the variability of the baseline mole fractions in that month (see Sect. <xref ref-type="sec" rid="Ch1.S2.SS3"/>). This latter term is assumed to be a measure of model error, by accounting for the magnitude of variability not accounted for in the model.</p>
      <p id="d2e7057">Under an assumption of a normal likelihood and prior probability, the resultant relationship for the probability of the emissions given the measurements (deviation) is,

            <disp-formula id="Ch1.E8" content-type="numbered"><label>8</label><mml:math id="M267" display="block"><mml:mtable class="split" rowspacing="0.2ex" displaystyle="true" columnalign="right left"><mml:mtr><mml:mtd><mml:mrow><mml:mo>-</mml:mo><mml:mi>ln⁡</mml:mi><mml:mtext>P</mml:mtext><mml:mo>(</mml:mo><mml:mi mathvariant="bold-italic">x</mml:mi><mml:mo>∣</mml:mo><mml:mi mathvariant="bold-italic">y</mml:mi><mml:mo>)</mml:mo></mml:mrow></mml:mtd><mml:mtd><mml:mrow><mml:mo>∝</mml:mo><mml:mo>(</mml:mo><mml:mi mathvariant="bold-italic">y</mml:mi><mml:mo>-</mml:mo><mml:mi mathvariant="bold">H</mml:mi><mml:mi mathvariant="bold-italic">x</mml:mi><mml:msup><mml:mo>)</mml:mo><mml:mi>T</mml:mi></mml:msup><mml:msup><mml:mi mathvariant="bold">R</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup><mml:mo>(</mml:mo><mml:mi mathvariant="bold-italic">y</mml:mi><mml:mo>-</mml:mo><mml:mi mathvariant="bold">H</mml:mi><mml:mi mathvariant="bold-italic">x</mml:mi><mml:mo>)</mml:mo></mml:mrow></mml:mtd></mml:mtr><mml:mtr><mml:mtd/><mml:mtd><mml:mrow><mml:mo>+</mml:mo><mml:mo>(</mml:mo><mml:mi mathvariant="bold">D</mml:mi><mml:mi mathvariant="bold">x</mml:mi><mml:mo>-</mml:mo><mml:mi mathvariant="bold-italic">g</mml:mi><mml:msup><mml:mo>)</mml:mo><mml:mi>T</mml:mi></mml:msup><mml:msup><mml:mi mathvariant="bold">P</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup><mml:mo>(</mml:mo><mml:mi mathvariant="bold">D</mml:mi><mml:mi mathvariant="bold">x</mml:mi><mml:mo>-</mml:mo><mml:mi mathvariant="bold-italic">g</mml:mi><mml:mo>)</mml:mo><mml:mo>,</mml:mo></mml:mrow></mml:mtd></mml:mtr></mml:mtable></mml:math></disp-formula>

          which, by completing the square, allows determination of the maximum a posteriori probability (MAP) estimate of emissions, <inline-formula><mml:math id="M268" display="inline"><mml:mover accent="true"><mml:mi mathvariant="bold-italic">x</mml:mi><mml:mo stretchy="false" mathvariant="normal">^</mml:mo></mml:mover></mml:math></inline-formula>, using

            <disp-formula id="Ch1.E9" content-type="numbered"><label>9</label><mml:math id="M269" display="block"><mml:mrow><mml:mover accent="true"><mml:mi mathvariant="bold-italic">x</mml:mi><mml:mo mathvariant="normal" stretchy="false">^</mml:mo></mml:mover><mml:mo>=</mml:mo><mml:mover accent="true"><mml:mi mathvariant="bold">P</mml:mi><mml:mo mathvariant="normal" stretchy="false">^</mml:mo></mml:mover><mml:mo>(</mml:mo><mml:msup><mml:mi mathvariant="bold">H</mml:mi><mml:mi>T</mml:mi></mml:msup><mml:msup><mml:mi mathvariant="bold">R</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup><mml:mi mathvariant="bold-italic">y</mml:mi><mml:mo>+</mml:mo><mml:msup><mml:mi mathvariant="bold">D</mml:mi><mml:mi>T</mml:mi></mml:msup><mml:msup><mml:mi mathvariant="bold">P</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup><mml:mi mathvariant="bold-italic">g</mml:mi><mml:mo>)</mml:mo><mml:mo>,</mml:mo></mml:mrow></mml:math></disp-formula>

          where

            <disp-formula id="Ch1.E10" content-type="numbered"><label>10</label><mml:math id="M270" display="block"><mml:mrow><mml:mover accent="true"><mml:mi mathvariant="bold">P</mml:mi><mml:mo stretchy="false" mathvariant="normal">^</mml:mo></mml:mover><mml:mo>=</mml:mo><mml:mo>(</mml:mo><mml:msup><mml:mi mathvariant="bold">H</mml:mi><mml:mi>T</mml:mi></mml:msup><mml:msup><mml:mi mathvariant="bold">R</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup><mml:mi mathvariant="bold">H</mml:mi><mml:mo>+</mml:mo><mml:msup><mml:mi mathvariant="bold">D</mml:mi><mml:mi>T</mml:mi></mml:msup><mml:msup><mml:mi mathvariant="bold">P</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup><mml:mi mathvariant="bold">D</mml:mi><mml:msup><mml:mo>)</mml:mo><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup><mml:mo>,</mml:mo></mml:mrow></mml:math></disp-formula>

          and <inline-formula><mml:math id="M271" display="inline"><mml:mover accent="true"><mml:mi mathvariant="bold">P</mml:mi><mml:mo stretchy="false" mathvariant="normal">^</mml:mo></mml:mover></mml:math></inline-formula> is the resultant posterior covariance matrix, representing the random error in the emissions estimate. The estimate <inline-formula><mml:math id="M272" display="inline"><mml:mover accent="true"><mml:mi mathvariant="bold-italic">x</mml:mi><mml:mo stretchy="false" mathvariant="normal">^</mml:mo></mml:mover></mml:math></inline-formula> is added to the initial a priori emissions to give the estimated total emissions. The posterior mean mole fractions are estimated using the relationship

            <disp-formula id="Ch1.E11" content-type="numbered"><label>11</label><mml:math id="M273" display="block"><mml:mrow><mml:mover accent="true"><mml:mi mathvariant="bold-italic">y</mml:mi><mml:mo stretchy="false" mathvariant="normal">^</mml:mo></mml:mover><mml:mo>=</mml:mo><mml:mi mathvariant="bold">H</mml:mi><mml:mover accent="true"><mml:mi mathvariant="bold-italic">x</mml:mi><mml:mo stretchy="false" mathvariant="normal">^</mml:mo></mml:mover><mml:mo>+</mml:mo><mml:mi mathvariant="bold">H</mml:mi><mml:msub><mml:mi mathvariant="bold-italic">x</mml:mi><mml:mi>a</mml:mi></mml:msub><mml:mo>.</mml:mo></mml:mrow></mml:math></disp-formula></p>
      <p id="d2e7345">Combined systematic and random uncertainties are derived through the random sampling of systematic uncertainties and the Cholesky decompostion of <inline-formula><mml:math id="M274" display="inline"><mml:mover accent="true"><mml:mi mathvariant="bold">P</mml:mi><mml:mo mathvariant="normal" stretchy="false">^</mml:mo></mml:mover></mml:math></inline-formula>. The systematic uncertainties are due to errors in the calibration, lifetime and transport. Calibration uncertainty is treated as a percentage offset, where the one standard deviation calibration uncertainties for each compound are defined in Table S1. The systematic component of transport error is assumed to be 1 % of emissions for all substances (one standard deviation). Lifetime error variance is calculated as,

            <disp-formula id="Ch1.E12" content-type="numbered"><label>12</label><mml:math id="M275" display="block"><mml:mrow><mml:msubsup><mml:mi mathvariant="italic">σ</mml:mi><mml:mi>x</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msubsup><mml:mo>=</mml:mo><mml:mo>(</mml:mo><mml:mi>B</mml:mi><mml:msub><mml:mi mathvariant="italic">σ</mml:mi><mml:mstyle scriptlevel="+1"><mml:mfrac><mml:mn mathvariant="normal">1</mml:mn><mml:mi mathvariant="italic">τ</mml:mi></mml:mfrac></mml:mstyle></mml:msub><mml:msup><mml:mo>)</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:msup><mml:mo>,</mml:mo></mml:mrow></mml:math></disp-formula>

          where <inline-formula><mml:math id="M276" display="inline"><mml:mi>B</mml:mi></mml:math></inline-formula> is the total atmospheric burden of the compound and <inline-formula><mml:math id="M277" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">σ</mml:mi><mml:mfrac><mml:mn mathvariant="normal">1</mml:mn><mml:mi mathvariant="italic">τ</mml:mi></mml:mfrac></mml:msub></mml:mrow></mml:math></inline-formula> is the total inverse lifetime error <xref ref-type="bibr" rid="bib1.bibx39" id="paren.104"/> <xref ref-type="bibr" rid="bib1.bibx97" id="paren.105"><named-content content-type="pre">see</named-content><named-content content-type="post">for more information</named-content></xref>. The assumed lifetime uncertainty is shown in Table S1 for each compound. The total uncertainty is then taken as the standard deviation from this ensemble.</p>
</sec>
<sec id="Ch1.S4.SS2">
  <label>4.2</label><title>A priori emissions</title>
      <p id="d2e7433">An initial set of estimates of the emissions for each compound has been compiled over time. These are from a variety of sources and are included in the AGAGE-derived data sets. Given the longevity of measurements made by the AGAGE network and their widespread use, there could be a lack of independence of the a priori emissions if taken from widely used emissions scenarios, which may have been, at least partly, informed by mole fraction measurements and/or emissions derived by AGAGE <xref ref-type="bibr" rid="bib1.bibx53" id="paren.106"><named-content content-type="pre">e.g.,</named-content></xref>. We have therefore strived, insofar as possible, to use independent a priori emissions estimates.</p>
      <p id="d2e7441">A priori emissions for CF<sub>4</sub>, C<sub>2</sub>F<sub>6</sub>, C<sub>3</sub>F<sub>8</sub>, <italic>c</italic>-C<sub>4</sub>F<sub>8</sub>, HFC-23, HFC-32, HFC-125, HFC-134a, HFC-143a, HFC-152a, HFC-227ea, HFC-236fa, HFC-245fa, HFC-365mfc, HFC-43-10mee, HCFC-141b, HCFC-142b and SF<sub>6</sub> are taken from the gridded flux maps from the Emissions Database for Global Atmospheric Research (EDGAR) v8 <xref ref-type="bibr" rid="bib1.bibx13" id="paren.107"/>. These are annual emissions from 1970–2022, with the exception of C<sub>3</sub>F<sub>8</sub>, which spans 1975–2022. HFC-23 emissions prior to 1970 are taken from <xref ref-type="bibr" rid="bib1.bibx56" id="text.108"/>. After 2022, emissions for all compounds are repeated using the values from 2022.</p>
      <p id="d2e7545">The EDGAR v8 inventory also includes NF<sub>3</sub> but its global emissions are erroneously small compared to other literature sources <xref ref-type="bibr" rid="bib1.bibx5 bib1.bibx45" id="paren.109"><named-content content-type="pre">e.g.,</named-content></xref>. We instead use the PRIMAP-hist v2.6 national historical emissions time series for NF<sub>3</sub> <xref ref-type="bibr" rid="bib1.bibx30 bib1.bibx31" id="paren.110"/>. Emissions are quantified until 2023 in the database and repeated thereafter.</p>
      <p id="d2e7574">CFC-11, CFC-12 and CFC-113/a a priori emissions are the bottom-up estimates compiled in <xref ref-type="bibr" rid="bib1.bibx96" id="text.111"/>, which were informed by a variety of inventory compilations and forecasts <xref ref-type="bibr" rid="bib1.bibx50 bib1.bibx51" id="paren.112"><named-content content-type="pre">e.g.,</named-content></xref>. CH<sub>3</sub>CCl<sub>3</sub> was compiled in a similar manner, but emissions have been repeated after 2015 until present. A priori estimates of CFC-114/a and CFC-115 were compiled from a variety of sources <xref ref-type="bibr" rid="bib1.bibx132" id="paren.113"><named-content content-type="pre">see</named-content><named-content content-type="post">and its supplementary information</named-content></xref>. To the best of our knowledge, no comprehensive inventory of global emissions of CFC-13 exists, so we assume that the a priori emissions for CFC-13 are a seventh of those of CFC-115 (see the supplementary information of <xref ref-type="bibr" rid="bib1.bibx132" id="text.114"/> for the rationale behind this approximation, which is based on available ratios of production of the two compounds).</p>
      <p id="d2e7615">The a priori emissions estimate for halons – Halon-1211, Halon-1301 and Halon-2402 – are taken from the bottom-up emissions published by <xref ref-type="bibr" rid="bib1.bibx131" id="text.115"/>. These estimates were originally compiled by <xref ref-type="bibr" rid="bib1.bibx33" id="text.116"/> but the values were not made available.</p>
      <p id="d2e7624">The historic a priori estimates of CCl<sub>4</sub> emissions are based on information from industry on the production of CFCs (Archie McCulloch, personal communication, 2013). Estimates since 2010 are taken from <xref ref-type="bibr" rid="bib1.bibx106" id="text.117"/>. The use of carbon tetrachloride as a feedstock for the production of CFCs was its major source of emissions prior to the phase out of the production of CFCs for dispersive uses. There are continued unexplained global emissions of carbon tetrachloride, which makes a comprehensive bottom-up inventory of its emissions difficult <xref ref-type="bibr" rid="bib1.bibx43 bib1.bibx16" id="paren.118"/>.</p>
      <p id="d2e7642">Little is known about the source of emissions of HCFC-132b and HCFC-133a <xref ref-type="bibr" rid="bib1.bibx24 bib1.bibx130 bib1.bibx134" id="paren.119"/>. These two substances are assumed a priori to have constant emissions, with an annual mean of 1 Gg yr<sup>−1</sup> with a small seasonal trend, following <xref ref-type="bibr" rid="bib1.bibx134" id="text.120"/>. HCFC-22 a priori emissions are an extension of the bottom-up emissions derived by <xref ref-type="bibr" rid="bib1.bibx54" id="text.121"/>, using the HCFC-22 production data from multiple sources <xref ref-type="bibr" rid="bib1.bibx56" id="paren.122"/>. These emissions estimates extend through 2009, after which the emissions are assumed to remain constant. A bottom-up inventory of emissions for HCFC-124 was compiled for 1990–2001 and projected to 2015 under three scenarios <xref ref-type="bibr" rid="bib1.bibx7" id="paren.123"/>. We use Scenario 2, which envisaged improvements to reduce HCFC emissions over the policy at the time of compilation. Emissions are repeated after 2015.</p>
      <p id="d2e7673">PCE (<inline-formula><mml:math id="M294" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CCl</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula><inline-formula><mml:math id="M295" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula>CCl<sub>2</sub>) a priori emissions are taken from <xref ref-type="bibr" rid="bib1.bibx58" id="text.124"/>, which was compiled from multiple sources <xref ref-type="bibr" rid="bib1.bibx49 bib1.bibx38 bib1.bibx110" id="paren.125"/>. CH<sub>2</sub>Cl<sub>2</sub>, CHCl<sub>3</sub> and CH<sub>3</sub>Cl estimates are based on the emission estimates compiled in <xref ref-type="bibr" rid="bib1.bibx143" id="text.126"/> and methyl bromide in <xref ref-type="bibr" rid="bib1.bibx146" id="text.127"/>. Given the lack of a priori information about emissions of these gases, they are assumed to be constant in time.</p>
      <p id="d2e7751">The a priori estimates for SO<sub>2</sub>F<sub>2</sub> were described in <xref ref-type="bibr" rid="bib1.bibx63" id="text.128"/>, which were compiled using information on the production of SO<sub>2</sub>F<sub>2</sub>. Given the use of SO<sub>2</sub>F<sub>2</sub> as a fumigant, it can be assumed that its emissions will be approximately equal to its production in a given year. Our a priori emissions estimate for this compound was constant after 2007.</p>
      <p id="d2e7812">Emissions for N<sub>2</sub>O are built from various sources. Anthropogenic emissions are from EDGARv8.0 for the years 1970–2022, and the 2022 emissions are repeated thereafter <xref ref-type="bibr" rid="bib1.bibx13" id="paren.129"/>. Ocean emissions are from the ECCO-Darwin model for the period 2009–2013 <xref ref-type="bibr" rid="bib1.bibx88" id="paren.130"/>, and annually repeating before 2009 using the 2009 emissions and after 2013 using the 2013 emissions. Other natural emissions are from <xref ref-type="bibr" rid="bib1.bibx102" id="text.131"/> for 1990–2008, with annually repeating values using emissions from 1990 and 2008 before and after these dates. This estimate is within the range of bottom-up derived N<sub>2</sub>O net flux <xref ref-type="bibr" rid="bib1.bibx121" id="paren.132"/>.</p>
      <p id="d2e7847">Anthropogenic a priori emissions of CH<sub>4</sub> are taken from EDGAR v8.0 <xref ref-type="bibr" rid="bib1.bibx13" id="paren.133"/>, wetland emissions are taken from WetCHARTS v1.3.1 <xref ref-type="bibr" rid="bib1.bibx8" id="paren.134"/>, biomass burning from the Global Fire Emissions Database (GFED) <xref ref-type="bibr" rid="bib1.bibx125" id="paren.135"/>, freshwater emissions from <xref ref-type="bibr" rid="bib1.bibx117" id="text.136"/>, rice from <xref ref-type="bibr" rid="bib1.bibx144" id="text.137"/>, and other natural sources from <xref ref-type="bibr" rid="bib1.bibx26 bib1.bibx100" id="text.138"/>. Years without estimates from a particular source are filled with the closest year of available data. The total emissions are within the uncertainty of other well-used bottom-up total flux estimates <xref ref-type="bibr" rid="bib1.bibx103" id="paren.139"><named-content content-type="pre">e.g.</named-content></xref>.</p>
</sec>
<sec id="Ch1.S4.SS3">
  <label>4.3</label><title>Derived global mole fractions and growth rates</title>
      <p id="d2e7891">The presented mole fractions for each semihemisphere are those of the MAP estimate of the emissions, and their uncertainty, forward simulated through the 12-box model. The global annual mole fraction is the mean of the four surface-level boxes. The growth rates of the mole fraction are derived from <inline-formula><mml:math id="M310" display="inline"><mml:mover accent="true"><mml:mi mathvariant="bold-italic">y</mml:mi><mml:mo stretchy="false" mathvariant="normal">^</mml:mo></mml:mover></mml:math></inline-formula> (see Sect. <xref ref-type="sec" rid="Ch1.S4.SS1"/>) using backward differencing. These growth rates are then smoothed using a Kolmogorov–Zurbenko (KZ) filter <xref ref-type="bibr" rid="bib1.bibx145" id="paren.140"/> with a window size of 9 and a filtering degree of 4. The uncertainties for the estimated mole fractions and their growth rates are derived from the Monte Carlo ensemble described in Sect. <xref ref-type="sec" rid="Ch1.S4.SS1"/>.</p>
</sec>
</sec>
<sec id="Ch1.S5">
  <label>5</label><title>Published products</title>
      <p id="d2e7921">We aim to provide updated estimates of global missions and mole fraction trends annually, with a target time delay of approximately six months following the quality control of the atmospheric measurements by the AGAGE community. The release of data sets of specific substances may be withheld if the scientific integrity of the measurement of a specific substance is under question, e.g., due to emerging chromatographic interference, or if further insights into the data are required. Recent emission estimates (within the previous <inline-formula><mml:math id="M311" display="inline"><mml:mo>∼</mml:mo></mml:math></inline-formula>2 years) should be treated as preliminary as some of the underlying measurement data may not be fully vetted and/or calibration tanks may not have been returned from the measurement sites to the AGAGE central calibration laboratory for re-calibration.</p>
      <p id="d2e7931">For each substance, a number of derived products are provided. These summary data sets provided are as follows: <list list-type="bullet"><list-item>
      <p id="d2e7936">Emissions: <list list-type="custom"><list-item><label>-</label>
      <p id="d2e7941">Global annual emissions (with and without systematic uncertainties)</p></list-item></list></p></list-item><list-item>
      <p id="d2e7945">Mole fraction: <list list-type="custom"><list-item><label>-</label>
      <p id="d2e7950">Global calendar year mean surface mole fraction (mid-year centred)</p></list-item><list-item><label>-</label>
      <p id="d2e7954">Global annual January-centred surface mole fraction</p></list-item><list-item><label>-</label>
      <p id="d2e7958">Semihemispheric monthly mole fraction at each altitude level</p></list-item><list-item><label>-</label>
      <p id="d2e7962">Semihemispheric monthly measured surface mole fraction</p></list-item></list></p></list-item><list-item>
      <p id="d2e7966">Surface mole fraction growth rate: <list list-type="custom"><list-item><label>-</label>
      <p id="d2e7971">Global monthly mole fraction growth rate</p></list-item><list-item><label>-</label>
      <p id="d2e7975">Semihemispheric monthly mole fraction growth rate.</p></list-item></list></p></list-item></list></p>
      <p id="d2e7978">The data sets are provided as text files with comma-separated values (csv) and are available to download from <xref ref-type="bibr" rid="bib1.bibx141" id="text.141"/>. Each data set includes both the mean posterior estimate of the emissions/mole fraction (see Sect. <xref ref-type="sec" rid="Ch1.S4"/>) and its 1-standard deviation uncertainty. Annual emissions are provided including either random uncertainties or combined random and systematic uncertainties (see Sect. <xref ref-type="sec" rid="Ch1.S4.SS1"/>). These two uncertainty estimates are provided to aid the calculation of uncertainty in quantities that are, or are not, influenced by systematic uncertainties. The uncertainty in an emissions change between two years is not strongly influenced by systematic uncertainties of the type estimated here, whereas the uncertainty in the absolute emissions in a particular year is. For example, if an error in the measurement calibration scale for an inert compound causes a constant absolute offset across the whole measurement record, the derived emissions would also be offset by some near-constant value, yet the growth in emissions would remain unchanged. The annual and monthly quantities are centred around the corresponding calendar year or month, unless otherwise stated.</p>
</sec>
<sec id="Ch1.S6">
  <label>6</label><title>AGAGE derived global budgets</title>
      <p id="d2e7996">Here we give a summary of the budgets of non-CO<sub>2</sub> GHGs and ODSs derived from the AGAGE network through 2023 using the measurements from <xref ref-type="bibr" rid="bib1.bibx78" id="text.142"/> and the methodology outlined above. We present these budgets separately for the long-lived halogenated gases that are primarily of synthetic anthropogenic origin in Sect. <xref ref-type="sec" rid="Ch1.S6.SS1"/>, and CH<sub>4</sub> and N<sub>2</sub>O, whose fluxes have substantial non-anthropogenic components, in Sect. <xref ref-type="sec" rid="Ch1.S6.SS2"/>. Given the uncertain natural sources, short lifetime and uncertain impacts of very short-lived chlorinated substances (CH<sub>2</sub>Cl<sub>2</sub>, CHCl<sub>3</sub> and <inline-formula><mml:math id="M318" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CCl</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula><inline-formula><mml:math id="M319" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula>CCl<sub>2</sub>), CH<sub>3</sub>Cl and CH<sub>3</sub>Br, we present these separately in Sect. <xref ref-type="sec" rid="Ch1.S6.SS3"/>. Emissions, global mole fractions, and their growth rates for each individual compound can be found in the supplementary information.</p>
<sec id="Ch1.S6.SS1">
  <label>6.1</label><title>Halogenated ozone-depleting substances and greenhouse gases</title>
      <p id="d2e8115">The annual global emissions of synthetic greenhouse gases are presented in Fig. <xref ref-type="fig" rid="F3"/>. We group compounds as CFCs, HCFCs, HFCs, Halons, “other F-gases” (SF<sub>6</sub>, NF<sub>3</sub> and SO<sub>2</sub>F<sub>2</sub>), PFCs and “Solvents” (CCl<sub>4</sub> and CH<sub>3</sub>CCl<sub>3</sub>). These emissions are shown in terms of the direct climate warming potential of the emissions over a 100 year time horizon (GWP-100, CO<sub>2</sub>-eq) and their ozone depletion potential (ODP, CFC-11-eq) <xref ref-type="bibr" rid="bib1.bibx10" id="paren.143"/>, respectively.</p>

      <fig id="F3" specific-use="star"><label>Figure 3</label><caption><p id="d2e8198">Emissions of synthetic greenhouse gases presented as the total, weighted in terms of their <bold>(a)</bold> global warming potential (CO<sub>2</sub>-equivalent emissions) over a 100-year time horizon and <bold>(b)</bold> ozone-depleting potential (CFC-11-equivalent emissions). The category “solvents” contains carbon tetrachloride and methyl chloroform, and the category “other F-gases” contains SF<sub>6</sub>, NF<sub>3</sub> and SO<sub>2</sub>F<sub>2</sub>.</p></caption>
          <graphic xlink:href="https://essd.copernicus.org/articles/17/6557/2025/essd-17-6557-2025-f03.png"/>

        </fig>

      <p id="d2e8259">The total CO<sub>2</sub>-equivalent emissions from synthetic greenhouse gases were 3.2 <inline-formula><mml:math id="M337" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.6 Pg CO<sub>2</sub>-eq in 2023, and have remained relatively unchanged over the last 20 years of the record (Fig. <xref ref-type="fig" rid="F3"/>). There has been an overall reduction in CO<sub>2</sub>-equivalent emissions due to reduction of CFC emissions since the 1990s. This reduction has been partially offset by a growth and recent decline in emissions of HCFCs <xref ref-type="bibr" rid="bib1.bibx140" id="paren.144"><named-content content-type="pre">e.g.,</named-content></xref>, and the continuing growth of HFCs and, to a lesser extent, PFCs and other F-gases. It can reasonably be expected that the emissions of synthetic greenhouse gases will decrease in the coming years given the controls on HFCs under the Kigali Amendment to the Montreal Protocol and other commitments as part of the Paris Agreement and other climate policies <xref ref-type="bibr" rid="bib1.bibx126 bib1.bibx16" id="paren.145"/>.</p>
      <p id="d2e8308">The emissions of the ozone-depleting synthetic greenhouse gases (CFCs, HCFCs, halons and chlorinated solvents) were 152 <inline-formula><mml:math id="M340" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 66 Gg CFC-11-eq in 2023. Emissions of these ozone-depleting substances are now at their lowest since measurement-derived emission records began, despite some small, but impactful, fluctuations in total emissions, meaning that this decline has not been entirely monotonic <xref ref-type="bibr" rid="bib1.bibx60 bib1.bibx61" id="paren.146"><named-content content-type="pre">see, e.g.,</named-content></xref>.</p>
      <p id="d2e8323">The global abundances of the synthetic greenhouse gases are shown in Fig. <xref ref-type="fig" rid="F4"/>, using the same compound groupings as Fig. <xref ref-type="fig" rid="F3"/>. The impact on climate is shown in terms of direct radiative forcing, which considers stratospheric adjustments to the instantaneous radiative forcing, and also tropospheric adjustments for CFC-11 and CFC-12 <xref ref-type="bibr" rid="bib1.bibx108 bib1.bibx32 bib1.bibx10" id="paren.147"/>. The impact on ozone depletion is shown in terms of equivalent effective chlorine <xref ref-type="bibr" rid="bib1.bibx59" id="paren.148"/>, which is the global mean surface chlorine mole fraction (number of chlorine atoms in a given species multiplied by its mole fraction).</p>

      <fig id="F4" specific-use="star"><label>Figure 4</label><caption><p id="d2e8338">Global abundance of synthetic greenhouse gases in terms of <bold>(a)</bold> the direct radiative forcing and <bold>(b)</bold> equivalent tropospheric chlorine. The direct radiative forcing considers stratospheric adjustments to the instantaneous radiative forcing, and also the tropospheric adjustments for CFC-11 and CFC-12.</p></caption>
          <graphic xlink:href="https://essd.copernicus.org/articles/17/6557/2025/essd-17-6557-2025-f04.png"/>

        </fig>

      <p id="d2e8353">The direct radiative forcing of synthetic greenhouse gases has increased since measurements of their atmospheric abundance began, reaching 411 <inline-formula><mml:math id="M341" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 5 mW m<sup>−2</sup> in 2023. Global abundances of CFCs, chlorinated solvents and HCFCs are now decreasing <xref ref-type="bibr" rid="bib1.bibx59 bib1.bibx140" id="paren.149"/>, and are being offset by an increasing abundance of HFCs, PFCs (foremost CF<sub>4</sub>) and other F-gases (foremost SF<sub>6</sub>).</p>
      <p id="d2e8396">Conversely, the equivalent effective chlorine has declined since its peak in 1994, to 2920 <inline-formula><mml:math id="M345" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 30 ppt in 2023. This is driven by the decreasing abundances of CFCs, halons and solvents (foremost CH<sub>3</sub>CCl<sub>3</sub>) in the atmosphere <xref ref-type="bibr" rid="bib1.bibx59" id="paren.150"/> and also more recently by a fall in the abundance of HCFCs <xref ref-type="bibr" rid="bib1.bibx140" id="paren.151"/>.</p>
</sec>
<sec id="Ch1.S6.SS2">
  <label>6.2</label><title>Methane and Nitrous Oxide</title>
      <p id="d2e8438">Figure <xref ref-type="fig" rid="F5"/> shows the global and semihemispheric mole fractions of methane and nitrous oxide, the growth rate of these mole fractions and the north-south inter-hemispheric difference. Figure <xref ref-type="fig" rid="F6"/> shows their global mean emissions.</p>

      <fig id="F5" specific-use="star"><label>Figure 5</label><caption><p id="d2e8447">The global and semihemispheric mole fraction for <bold>(a)</bold> methane and <bold>(b)</bold> nitrous oxide (top panels), the growth rate in these mole fractions (middle panels) and the north-south interhemispheric difference (lower panels) for 1990–2023. Observed mole fractions are shown in the top panels by the small circles and fits to these observations are shown with lines. The black lines indicate global mean quantities with 1<inline-formula><mml:math id="M348" display="inline"><mml:mi mathvariant="italic">σ</mml:mi></mml:math></inline-formula> uncertainties shown by the grey shading.</p></caption>
          <graphic xlink:href="https://essd.copernicus.org/articles/17/6557/2025/essd-17-6557-2025-f05.png"/>

        </fig>

      <fig id="F6" specific-use="star"><label>Figure 6</label><caption><p id="d2e8471">Global annual emissions of <bold>(a)</bold> methane and <bold>(b)</bold> nitrous oxide for 1990–2023. Shading indicated the 1<inline-formula><mml:math id="M349" display="inline"><mml:mi mathvariant="italic">σ</mml:mi></mml:math></inline-formula> uncertainty due to measurement repeatability, model uncertainty, calibration scale uncertainty and lifetime uncertainty.</p></caption>
          <graphic xlink:href="https://essd.copernicus.org/articles/17/6557/2025/essd-17-6557-2025-f06.png"/>

        </fig>

      <p id="d2e8494">The global mean mole fraction of methane reached 1917 <inline-formula><mml:math id="M350" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 10 ppb in 2023, following an accelerating rate of growth since a plateau in the global mole fraction during the mid-2000s <xref ref-type="bibr" rid="bib1.bibx92" id="paren.152"/>. This increase in the global mole fraction is coupled with an increase in the north-south interhemispheric difference. Global emissions of methane in 2023 were 579 <inline-formula><mml:math id="M351" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 73 Tg yr<sup>−1</sup>. In 2020 these emissions were 564 <inline-formula><mml:math id="M353" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 78 Tg yr<sup>−1</sup>, which falls within the range of top-down emissions derived for methane in multiple studies, of 608 [561–650] Tg <xref ref-type="bibr" rid="bib1.bibx103" id="paren.153"/>. The main drivers behind the increases and times of stagnation in direct methane emissions and the resulting global mole fraction are uncertain and may come from a mixture of natural and anthropogenic source and sink processes <xref ref-type="bibr" rid="bib1.bibx70 bib1.bibx104 bib1.bibx98 bib1.bibx124 bib1.bibx142 bib1.bibx36 bib1.bibx21 bib1.bibx148" id="paren.154"/>.</p>
      <p id="d2e8552">The global mean mole fraction of nitrous oxide reached 337 <inline-formula><mml:math id="M355" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 2 ppb in 2023, following an increasing rate of growth since direct measurement records began. The north-south interhemispheric difference has shown substantially interannual variability but no obvious overall trend during this time. Global annual emissions reached 29 <inline-formula><mml:math id="M356" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 3 Tg yr<sup>−1</sup> in 2023. In 2020 global emissions were 31 <inline-formula><mml:math id="M358" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 2 Tg yr<sup>−1</sup>, which is larger than the range of 26.7 [26.1–27.3] Tg yr<sup>−1</sup> (mean and range) for 2020 from four top-down approaches <xref ref-type="bibr" rid="bib1.bibx121" id="paren.155"/>, but close to the estimate of 30.4 [29.7–31.6] Tg yr<sup>−1</sup> in <xref ref-type="bibr" rid="bib1.bibx118" id="text.156"/>. The emissions in 2020 are within the range of bottom-up estimates of 29.1 [16.7–42.4] Tg yr<sup>−1</sup> presented in <xref ref-type="bibr" rid="bib1.bibx121" id="text.157"/>.</p>
</sec>
<sec id="Ch1.S6.SS3">
  <label>6.3</label><title>Very short-lived chlorinated substances, methyl chloride and methyl bromide</title>
      <p id="d2e8654">Very short-lived substances (VSLSs) have total atmospheric lifetimes of less than around 6 months. Dichloromethane (CH<sub>2</sub>Cl<sub>2</sub>) and chloroform (CHCl<sub>3</sub>) have natural as well as anthropogenic sources, although the natural emissions of CH<sub>2</sub>Cl<sub>2</sub> are relatively minor <xref ref-type="bibr" rid="bib1.bibx48 bib1.bibx110" id="paren.158"/>. The atmospheric mole fraction of CH<sub>2</sub>Cl<sub>2</sub>, and its emissions, have been continuously increasing during the atmospheric record (Fig. <xref ref-type="fig" rid="F7"/> and see, e.g., <xref ref-type="bibr" rid="bib1.bibx122" id="text.159"/>). Its global mean mole fraction has approximately doubled between 2008 and 2023, when it reached 41.5 <inline-formula><mml:math id="M370" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 1.3 ppt, which has been driven mostly by increased emissions from China <xref ref-type="bibr" rid="bib1.bibx2" id="paren.160"/>. Mole fraction and emissions of CHCl<sub>3</sub> increased rapidly until 2015 <xref ref-type="bibr" rid="bib1.bibx20" id="paren.161"/>, after which they fell to the levels seen in the 2000s. Perchloroethylene (<inline-formula><mml:math id="M372" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CCl</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula><inline-formula><mml:math id="M373" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula>CCl<sub>2</sub>) has only anthropogenic sources and its atmospheric abundance and emissions have been falling since the measurement record began.</p>
      <p id="d2e8778">Methyl chloride (CH<sub>3</sub>Cl) has an atmospheric lifetime of 10–11 months. It has a mixture of natural and anthropogenic sources <xref ref-type="bibr" rid="bib1.bibx89" id="paren.162"/>. Its atmospheric mole fraction has remained fairly constant at around 550 ppt and its emissions at 4500–5000 Gg yr<sup>−1</sup> over the measurement record. Methyl bromide (CH<sub>3</sub>Br) has an atmospheric lifetime of 9–10 months. It has a mixture of natural and anthropogenic (foremost fumigation) sources <xref ref-type="bibr" rid="bib1.bibx41" id="paren.163"/>. Its production for all applications other than quarantine and pre-shipment purposes has been phased out under the Montreal Protocol, and its atmospheric mole fraction and emissions have been declining over the measurement record (Fig. <xref ref-type="fig" rid="F7"/>).</p>

      <fig id="F7" specific-use="star"><label>Figure 7</label><caption><p id="d2e8822">Semihemispheric and global mean mole fractions for <bold>(a)</bold> perchloroethylene, <bold>(c)</bold> chloroform, <bold>(e)</bold> dichloromethane, <bold>(g)</bold> methyl chloride and <bold>(i)</bold> methyl bromide. Circles show the observed semihemispheric mole fractions and the lines show the fits to these data. Their global emissions are shown in panels <bold>(b)</bold>, <bold>(d)</bold>, <bold>(f)</bold>, <bold>(h)</bold>, <bold>(j)</bold>. Shading indicated the 1<inline-formula><mml:math id="M378" display="inline"><mml:mi mathvariant="italic">σ</mml:mi></mml:math></inline-formula> uncertainty.</p></caption>
          <graphic xlink:href="https://essd.copernicus.org/articles/17/6557/2025/essd-17-6557-2025-f07.png"/>

        </fig>

</sec>
</sec>
<sec id="Ch1.S7">
  <label>7</label><title>Limitations</title>
      <p id="d2e8878">Whilst the data sets presented here have been extremely useful for many studies charting the atmospheric and emissions history of these substances, users should be aware of their limitations. Failure to account for these limitations could lead to erroneous conclusions being drawn from the underlying AGAGE data.</p>
      <p id="d2e8881">The use of a box model of atmospheric transport to estimate emissions and mole fractions is associated with numerous potential issues. Emissions estimates on scales smaller than the model resolution are not possible. However, we also find that the coarse parameterisation of atmospheric transport precludes reliable semihemispheric emissions estimates, even at the model resolution. For that reason, we do not present semihemispheric emissions estimates, only semihemispheric mole fractions (which are better constrained by the measurements themselves). Furthermore, numerous studies have shown that the use of interannually repeating meteorology can lead to specious year-to-year fluctuations in global emissions due to the lack of influence from large-scale dynamical changes <xref ref-type="bibr" rid="bib1.bibx85 bib1.bibx61" id="paren.164"><named-content content-type="pre">e.g.,</named-content></xref>. Due to the lack of interannually varying OH and other sinks, longer term trends in emissions and year-to-year differences may be misrepresented <xref ref-type="bibr" rid="bib1.bibx92 bib1.bibx98 bib1.bibx124 bib1.bibx68" id="paren.165"><named-content content-type="pre">e.g.,</named-content></xref>.</p>
      <p id="d2e8894">Currently, emission estimates are only possible in the four lowest boxes. Therefore, emissions from aircraft or other airborne sources cannot be simulated. This includes in-atmosphere production of atmospheric breakdown products, for example, the proposed production of HFC-23 due to ozonolysis of some hydrofluoroolefins (HFOs) <xref ref-type="bibr" rid="bib1.bibx52" id="paren.166"/>. The lack of an explicit chemistry scheme would make any such processes difficult to include at present. Following the uptake of a trace gas by the ocean, there is the possibility that this current loss process instead becomes a source <xref ref-type="bibr" rid="bib1.bibx135" id="paren.167"/>. This effect is neglected in the model as ocean/soil uptake is only a loss process, and should not impact the compounds of interest for the foreseeable future.</p>
      <p id="d2e8903">The isomers of some compounds are not currently separated using the instrumentation described in Sect. <xref ref-type="sec" rid="Ch1.S2"/>, as noted in Table <xref ref-type="table" rid="T1"/>. For example, the isomers CFC-113 and CFC-113a are not currently separated, and the reported mole fraction is generally reported as a somewhat ill-defined combination of both isomers <xref ref-type="bibr" rid="bib1.bibx57" id="paren.168"/>. This issue has become more important in recent years because the more minor abundant isomer for some isomer pairs (e.g., CFC-113/a, CFC-114/a) has been increasing in the atmosphere <xref ref-type="bibr" rid="bib1.bibx138" id="paren.169"/>. Emissions and mole fraction trends for these individual isomers cannot be properly quantified at present.</p>
      <p id="d2e8917">The inverse method employed in this work, which constrains the emissions growth rate, is not strongly influenced by overall biases in the total magnitude of a priori emissions, compared to methods that constrain absolute emissions <xref ref-type="bibr" rid="bib1.bibx94" id="paren.170"/>. However, the magnitude of the a priori growth uncertainty is informed by growth in the a priori emissions, or else chosen somewhat heuristically. Furthermore, spatial constraints are difficult to impose simultaneously with the growth constraint on emissions, as are non-negative emissions constraints. It would be preferable to employ an approach that allows physical limits to be applied to emissions and was less dependent on poorly understood uncertainties <xref ref-type="bibr" rid="bib1.bibx27" id="paren.171"><named-content content-type="pre">e.g.,</named-content></xref>.</p>
      <p id="d2e8928">Since AGAGE measures trace gases at a frequency on the order of hours, a filter must be applied to provide estimates of baseline monthly mean mole fractions, which are used in combination with the box model (see Sect. <xref ref-type="sec" rid="Ch1.S2.SS3"/>). The current AGAGE statistical baseline method is simple and efficient to apply, but it can be unreliable, particularly at the beginning and end of the data set, before and after prolonged periods of instrumental downtime, during periods of poor precision, for highly polluted species/sites, or for sites that are influenced by monsoons. An alternative approach would use air histories to identify unpolluted periods and may be used in future versions <xref ref-type="bibr" rid="bib1.bibx47" id="paren.172"/>.</p>
      <p id="d2e8936">Finally, our derived emissions estimates are sensitive to potential biases in the observations and model. Estimates are available for the uncertainty due to the assumed atmospheric lifetime and calibration scale, and these terms are included in our derived emissions estimates. However, for some compounds, particularly those with shorter lifetimes, unaccounted-for biases may exist because the network and model cannot resolve zonal gradients or meridional gradients within each box. For example, a difference between AGAGE and NOAA-derived dichloromethane emissions is thought to be partly due to differences in measurement locations in the Northern Hemisphere tropics between the two networks, as well as a large (<inline-formula><mml:math id="M379" display="inline"><mml:mo lspace="0mm">∼</mml:mo></mml:math></inline-formula>10 %) difference in calibration scales <xref ref-type="bibr" rid="bib1.bibx12" id="paren.173"/>.</p>
</sec>
<sec id="Ch1.S8">
  <label>8</label><title>Code and data availability</title>
      <p id="d2e8957">All AGAGE derived data sets presented in the paper are available at <ext-link xlink:href="https://doi.org/10.5281/zenodo.15372480" ext-link-type="DOI">10.5281/zenodo.15372480</ext-link> <xref ref-type="bibr" rid="bib1.bibx141" id="paren.174"/>. Users must agree to the AGAGE Data Policy, the details of which can be found when downloading the data sets. The monthly mean measurements for each site used as input to the 12-box model are available from <xref ref-type="bibr" rid="bib1.bibx78" id="text.175"/> (<ext-link xlink:href="https://doi.org/10.60718/0FXA-QF43" ext-link-type="DOI">10.60718/0FXA-QF43</ext-link>). The 12-box model and its inversion code are available from <xref ref-type="bibr" rid="bib1.bibx90" id="text.176"/> (<ext-link xlink:href="https://doi.org/10.5281/zenodo.6857447" ext-link-type="DOI">10.5281/zenodo.6857447</ext-link>) and <xref ref-type="bibr" rid="bib1.bibx91" id="text.177"/> (<ext-link xlink:href="https://doi.org/10.5281/zenodo.6857794" ext-link-type="DOI">10.5281/zenodo.6857794</ext-link>), respectively, or from <uri>https://github.com/mrghg/py12box</uri> (last access: 8 May 2025) and <uri>https://github.com/mrghg/py12box_invert</uri> (last access: 8 May 2025).</p>
</sec>
<sec id="Ch1.S9" sec-type="conclusions">
  <label>9</label><title>Summary</title>
      <p id="d2e8999">The data products described here provide annual updates to the global emissions and mole fraction trends, derived from measurements from the AGAGE network, routinely published in other scientific articles and assessments. The methodology and data inputs for deriving these data sets have been described in detail in one publication for the first time. The methodology will be updated along with emerging science, including, but not limited to, updated estimates of lifetimes and updated a priori emissions estimates. The aim will be for the methodology to remain consistent with future iterations of the World Meteorological Organisation's quadrennial Scientific Assessment of Ozone Depletion and other relevant assessments.</p>
      <p id="d2e9002">Global emissions, mole fractions, and their growth rates derived using AGAGE measurements and a 12-box model remain in widespread use. More complex transport models combined with AGAGE measurements are likely to complement the data sets provided here <xref ref-type="bibr" rid="bib1.bibx139 bib1.bibx45" id="paren.178"><named-content content-type="pre">e.g.,</named-content></xref>, although we anticipate that the 12-box model will remain in use for many years to come, due to its efficient and ease of use in this application.</p>
</sec>

      
      </body>
    <back><app-group>
        <supplementary-material position="anchor"><p id="d2e9009">The supplement related to this article is available online at <inline-supplementary-material xlink:href="https://doi.org/10.5194/essd-17-6557-2025-supplement" xlink:title="pdf">https://doi.org/10.5194/essd-17-6557-2025-supplement</inline-supplementary-material>.</p></supplementary-material>
        </app-group><notes notes-type="authorcontribution"><title>Author contributions</title>

      <p id="d2e9020">LMW led the writing of the manuscript, with substantial contributions from JM, ALG and MR, and contributions from PJF, PBK, SR, KS, MKV and RGP. PJF, ALG, CMH, OH, JK, PBK, CRL, RLL, ZL, BM, JM, SO'D, JRP, SR, PKS, RS, KS, ARV, MKV, HJW, DY, and RFW provided measurement data, its calibration and quality control. HJW produced the monthly mean baselines. RGP and RFW oversee the AGAGE project. MR, HJW, JRP, LMW, ALG, BA, PKS, JM, PBK and MKV have curated the data.</p>
  </notes><notes notes-type="competinginterests"><title>Competing interests</title>

      <p id="d2e9027">The contact author has declared that none of the authors has any competing interests.</p>
  </notes><notes notes-type="disclaimer"><title>Disclaimer</title>

      <p id="d2e9033">Publisher’s note: Copernicus Publications remains neutral with regard to jurisdictional claims made in the text, published maps, institutional affiliations, or any other geographical representation in this paper. While Copernicus Publications makes every effort to include appropriate place names, the final responsibility lies with the authors. Views expressed in the text are those of the authors and do not necessarily reflect the views of the publisher.</p>
  </notes><ack><title>Acknowledgements</title><p id="d2e9039">We would like to thank the continued support and efforts of the station operators, without whom this work would not be possible. We thank the NASA Upper Atmosphere Research Program for its continuing support of AGAGE through grant nos. NNX07AE89G, NNX16AC98G and 80NSSC21K1369 to MIT and grant nos. NNX07AF09G, NNX07AE87G, NNX16AC96G, NNX16AC97G, 80NSSC21K1210 and 80NSSC21K1201 to SIO and earlier grants. The Department for Energy Security and Net Zero (DESNZ) in the United Kingdom supported the University of Bristol for operations at Mace Head, Ireland (contracts 1028/06/2015, 1537/06/2018 and 5488/11/2021) and through the NASA award to MIT with the subaward to University of Bristol for Mace Head and Barbados (grant no. 80NSSC21K1369). The National Oceanic and Atmospheric Administration (NOAA) in the United States supported the University of Bristol for operations at Ragged Point, Barbados (contract 1305M319CNRMJ0028) and operations at Cape Matatula, American Samoa. In Australia, the Kennaook/Cape Grim operations were supported by the Commonwealth Scientific and Industrial Research Organization (CSIRO), the Bureau of Meteorology (Australia), the Department of Climate Change, Energy, the Environment and Water (Australia), Refrigerant Reclaim Australia, the Australian Refrigeration Council and through the NASA award to MIT with subaward to CSIRO for Cape Grim (grant no. 80NSSC21K1369). Measurements at Jungfraujoch are supported by the Swiss National Programs HALCLIM and CLIMGAS-CH (Swiss Federal Office for the Environment, FOEN), by the International Foundation High Altitude Research Stations Jungfraujoch and Gornergrat (HFSJG), and by the European infrastructure projects ICOS and ACTRIS/ACTRIS-CH. Measurements at Zeppelin are supported by the Norwegian Environment Agency.</p></ack><notes notes-type="financialsupport"><title>Financial support</title>

      <p id="d2e9044">This research has been supported by the National Aeronautics and Space Administration (grant nos. NNX07AE89G, NNX16AC98G, 80NSSC21K1369, NNX07AF09G, NNX07AE87G, NNX16AC96G, NNX16AC97G, 80NSSC21K1210, and 80NSSC21K1201), the Department for Energy Security and Net Zero (grant nos. 1028/06/2015, 1537/06/2018, and 5488/11/2021), the National Oceanic and Atmospheric Administration (grant no. 1305M319CNRMJ0028), the Commonwealth Scientific and Industrial Research Organisation, the Bureau of Meteorology, Australian Government, the Department of Climate Change, Energy, the Environment and Water, the Swiss Federal Office for the Environment (FOEN) (grants HALCLIM and CLIMGAS-CH), the European Commission, European Climate, Infrastructure and Environment Executive Agency (ICOS and ACTRIS), and the Miljødirektoratet.</p>
  </notes><notes notes-type="reviewstatement"><title>Review statement</title>

      <p id="d2e9050">This paper was edited by Yuqiang Zhang and reviewed by two anonymous referees.</p>
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