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<article xmlns:xlink="http://www.w3.org/1999/xlink" xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:oasis="http://docs.oasis-open.org/ns/oasis-exchange/table" xml:lang="en" dtd-version="3.0">
  <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-10-2043-2018</article-id><title-group><article-title>A 40-year global data set of visible-channel remote-sensing reflectances and coccolithophore bloom occurrence derived from the Advanced Very High Resolution Radiometer catalogue</article-title><alt-title>A 40-year record of remote-sensing reflectance derived from AVHRR</alt-title>
      </title-group><?xmltex \runningtitle{A 40-year record of remote-sensing reflectance derived from AVHRR}?><?xmltex \runningauthor{B. R. Loveday and T.~Smyth}?>
      <contrib-group>
        <contrib contrib-type="author" corresp="yes" rid="aff1">
          <name><surname>Loveday</surname><given-names>Benjamin Roger</given-names></name>
          <email>blo@pml.ac.uk</email>
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff1">
          <name><surname>Smyth</surname><given-names>Timothy</given-names></name>
          
        <ext-link>https://orcid.org/0000-0003-0659-1422</ext-link></contrib>
        <aff id="aff1"><institution>Plymouth Marine Laboratory, Prospect Place, The Hoe, Plymouth, PL1
3DH, UK</institution>
        </aff>
      </contrib-group>
      <author-notes><corresp id="corr1">Benjamin Roger Loveday (blo@pml.ac.uk)</corresp></author-notes><pub-date><day>15</day><month>November</month><year>2018</year></pub-date>
      
      <volume>10</volume>
      <issue>4</issue>
      <fpage>2043</fpage><lpage>2054</lpage>
      <history>
        <date date-type="received"><day>11</day><month>July</month><year>2018</year></date>
           <date date-type="rev-request"><day>25</day><month>July</month><year>2018</year></date>
           <date date-type="rev-recd"><day>15</day><month>October</month><year>2018</year></date>
           <date date-type="accepted"><day>4</day><month>November</month><year>2018</year></date>
      </history>
      <permissions>
        
        
      <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/10/2043/2018/essd-10-2043-2018.html">This article is available from https://essd.copernicus.org/articles/10/2043/2018/essd-10-2043-2018.html</self-uri><self-uri xlink:href="https://essd.copernicus.org/articles/10/2043/2018/essd-10-2043-2018.pdf">The full text article is available as a PDF file from https://essd.copernicus.org/articles/10/2043/2018/essd-10-2043-2018.pdf</self-uri>
      <abstract>
    <p id="d1e86">A consistently calibrated 40-year-long data set of visible-channel
remote-sensing reflectance has been derived from the Advanced Very High
Resolution Radiometer (AVHRR) sensor global time series. The data set uses as
its source the Pathfinder Atmospheres – Extended (PATMOS-x) v5.3 Climate
Data Record for top-of-atmosphere (TOA) visible-channel reflectances. This paper describes
the theoretical basis for the atmospheric correction procedure and its
subsequent implementation, including the necessary ancillary data files used
and quality flags applied, in order to determine remote-sensing reflectance.
The resulting data set is produced at daily, and archived at monthly,
resolution, on a <inline-formula><mml:math id="M1" display="inline"><mml:mrow><mml:mn mathvariant="normal">0.1</mml:mn><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup><mml:mo>×</mml:mo><mml:mn mathvariant="normal">0.1</mml:mn><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula> grid at
<ext-link xlink:href="https://doi.org/10.1594/PANGAEA.892175" ext-link-type="DOI">10.1594/PANGAEA.892175</ext-link>. The primary aim of deriving this data set is to
highlight regions of the global ocean affected by highly reflective blooms of
the coccolithophorid <italic>Emiliania huxleyi</italic> (where lith concentration <inline-formula><mml:math id="M2" display="inline"><mml:mrow><mml:mo>&gt;</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:math></inline-formula>–<inline-formula><mml:math id="M3" display="inline"><mml:mrow><mml:mn mathvariant="normal">5</mml:mn><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="normal">10</mml:mn><mml:mn mathvariant="normal">4</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula> mL<inline-formula><mml:math id="M4" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>) over the past 40 years.</p>
  </abstract>
    </article-meta>
  </front>
<body>
      

      <?xmltex \hack{\allowdisplaybreaks}?>
<sec id="Ch1.S1" sec-type="intro">
  <title>Introduction</title>
      <p id="d1e162">Remote-sensing reflectance (<inline-formula><mml:math id="M5" display="inline"><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mi mathvariant="normal">rs</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>), which has been listed as an
Essential Climate Variable by the Global Climate Observation System,
has been routinely monitored at the global scale by ocean colour satellites
since the launch of the Sea-Viewing Wide Field-of-view Sensor (SeaWiFS) in
September 1997. Prior to this, the proof-of-concept Coastal Zone Color
Scanner (CZCS) provided sporadic coverage for the period 1978–1986. Spectral
<inline-formula><mml:math id="M6" display="inline"><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mi mathvariant="normal">rs</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> is a primary measurement of ocean colour satellites and is
used to determine higher-level products such as inherent optical properties
<xref ref-type="bibr" rid="bib1.bibx35" id="paren.1"/>, chlorophyll <inline-formula><mml:math id="M7" display="inline"><mml:mi>a</mml:mi></mml:math></inline-formula> <xref ref-type="bibr" rid="bib1.bibx29" id="paren.2"/> and particulate inorganic carbon
<xref ref-type="bibr" rid="bib1.bibx2" id="paren.3"/>. <inline-formula><mml:math id="M8" display="inline"><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mi mathvariant="normal">rs</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> can also be used directly to detect brighter
areas of the ocean caused by large blooms of the coccolithophorid
<italic>Emiliania huxleyi</italic>, as they shed highly backscattering calcium
carbonate “liths” into the surrounding waters.</p>
      <?pagebreak page2044?><p id="d1e218"><?xmltex \hack{\newpage}?>A subjective analysis, visually comparing global maps of coccolithophorid
blooms during the CZCS era (Plate 1 from <xref ref-type="bibr" rid="bib1.bibx4" id="altparen.4"/>) and the first few
years of the SeaWiFS mission (Fig. 1 from <xref ref-type="bibr" rid="bib1.bibx17" id="altparen.5"/>), clearly shows
large distributional changes in bloom occurrence between the two periods
<xref ref-type="bibr" rid="bib1.bibx39" id="paren.6"/>. However, the two analyses are separated by a decade where no
ocean colour sensors were in operation. In the 1980s, <xref ref-type="bibr" rid="bib1.bibx12" id="text.7"/> published
a coccolithophorid bloom algorithm for use on visible-channel Advanced
Very-High Resolution Radiometer (AVHRR) data. The potential for using the
AVHRR series of satellites, which spans the period between 1978 and the
present, as a means for bridging the observational gap between CZCS and
SeaWiFS was seized upon by several studies <xref ref-type="bibr" rid="bib1.bibx25" id="paren.8"/> with a particular
emphasis on high-latitude seas (<xref ref-type="bibr" rid="bib1.bibx24" id="altparen.9"/>; <xref ref-type="bibr" rid="bib1.bibx33" id="altparen.10"/>). This built
upon work in the 1980s and 1990s, before the observational hiatus became an
issue (<?xmltex \hack{\mbox\bgroup}?><xref ref-type="bibr" rid="bib1.bibx1" id="altparen.11"/><?xmltex \hack{\egroup}?>; <?xmltex \hack{\mbox\bgroup}?><xref ref-type="bibr" rid="bib1.bibx23" id="altparen.12"/><?xmltex \hack{\egroup}?>;
<?xmltex \hack{\mbox\bgroup}?><xref ref-type="bibr" rid="bib1.bibx16" id="altparen.13"/><?xmltex \hack{\egroup}?>; <?xmltex \hack{\mbox\bgroup}?><xref ref-type="bibr" rid="bib1.bibx10" id="altparen.14"/><?xmltex \hack{\egroup}?>) and despite lower inherent
reflectances in AVHRR channel 1 (0.580–0.680 <inline-formula><mml:math id="M9" display="inline"><mml:mi mathvariant="normal">µ</mml:mi></mml:math></inline-formula>m) and lower
detector gain rendering the sensor only 11 % as sensitive to variation in
coccolithophore reflectance as CZCS channel 3 (0.540–0.560 <inline-formula><mml:math id="M10" display="inline"><mml:mi mathvariant="normal">µ</mml:mi></mml:math></inline-formula>m)
<?xmltex \hack{\mbox\bgroup}?><xref ref-type="bibr" rid="bib1.bibx12" id="paren.15"/><?xmltex \hack{\egroup}?>.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F1" specific-use="star"><caption><p id="d1e287">PATMOS-x v5.3 (Px5.3) data density. <bold>(a)</bold> The length of the individual AVHRR missions: TIROS-N
(the NASA-operated Television Infra-Red Observation Satellite); NOAA-operated
missions (N); and MetOp (M) missions operated by EUMETSAT. <bold>(b)</bold> Number of satellite orbits per year which
comprise the Px5.3 data set.</p></caption>
        <?xmltex \igopts{width=341.433071pt}?><graphic xlink:href="https://essd.copernicus.org/articles/10/2043/2018/essd-10-2043-2018-f01.pdf"/>

      </fig>

      <p id="d1e302">More recently, <xref ref-type="bibr" rid="bib1.bibx38" id="text.16"/> used the inter-calibrated AVHRR reflectances
provided by the Clouds from AVHRR Extended (CLAVR-x) project
<xref ref-type="bibr" rid="bib1.bibx13" id="paren.17"/> to produce a global 25-year global record of coccolithophorid
blooms at 0.25<inline-formula><mml:math id="M11" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> resolution. This study suggested a long-term decline
in the bloom surface area, correlated with warming sea surface temperature
and increased mixed-layer depth. However, CLAVR-x processor is not optimised
for climate studies, and the 25-year time period of the resulting analysis
was, at the time, not long enough to assess bloom sensitivity to decadal
climate modes. Subsequently, the CLAVR-x processor was optimised for climate
studies as part of the the Pathfinder Atmospheres – Extended
(PATMOS-x) project.</p>
      <p id="d1e321">PATMOS-x <xref ref-type="bibr" rid="bib1.bibx14" id="paren.18"/> provides a new suite of climate data records that
include cloud brightness, aerosol properties and top-of-atmosphere (TOA)
reflectances, derived from the continuous <inline-formula><mml:math id="M12" display="inline"><mml:mrow><mml:mo>∼</mml:mo><mml:mn mathvariant="normal">40</mml:mn></mml:mrow></mml:math></inline-formula>-year global AVHRR
catalogue. Crucially, these quantities are optimised for climate studies and
have consistently calibrated reflectances across sensors, and the products
are geolocated on a 0.1<inline-formula><mml:math id="M13" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> grid: an order of magnitude finer than the
data used in previous CLAVR-x-based coccolithophorid studies. Further
information on the data set is available at
<?xmltex \hack{\mbox\bgroup}?><uri>https://cimss.ssec.wisc.edu/patmosx/</uri><?xmltex \hack{\egroup}?> (last access:
14 November 2018).</p>
      <p id="d1e351">In this paper we describe the exploitation of the PATMOS-x output to derive a
new data set, which comprises a daily global <inline-formula><mml:math id="M14" display="inline"><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mi mathvariant="normal">rs</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> product and an
associated coccolithophorid bloom map. By adopting this approach, the current
time period over which quantitative analyses of global <inline-formula><mml:math id="M15" display="inline"><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mi mathvariant="normal">rs</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> can be
carried out will be doubled from 20 to nearly 40 years. It is over
this order of observational time period that climatic shifts have been shown
to be demonstrable <xref ref-type="bibr" rid="bib1.bibx15" id="paren.19"/>.</p>
</sec>
<sec id="Ch1.S2">
  <title>Ingested data</title>
      <p id="d1e385">Previous efforts to derive visible-channel <inline-formula><mml:math id="M16" display="inline"><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mi mathvariant="normal">rs</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> from the AVHRR
catalogue (e.g. <xref ref-type="bibr" rid="bib1.bibx12" id="altparen.20"/>; <xref ref-type="bibr" rid="bib1.bibx33" id="altparen.21"/>) typically use the raw
instrument counts as a starting point to calculate per-channel TOA radiance.
In order to apply this approach across the lifetime of a single AVHRR sensor,
the radiance must be calibrated according to the sensor degradation
parameters. However, as sensor degradation parameters are only available for
AVHRR sensors on NOAA-7, 9, 11 and 14 <?xmltex \hack{\mbox\bgroup}?><xref ref-type="bibr" rid="bib1.bibx31 bib1.bibx32" id="paren.22"/><?xmltex \hack{\egroup}?>, the
approach is not applicable for analysis of long-term global signals.
Consequently, here we adopt a modified version of the approach used by
<?xmltex \hack{\mbox\bgroup}?><xref ref-type="bibr" rid="bib1.bibx12" id="text.23"/><?xmltex \hack{\egroup}?>, and updated by <?xmltex \hack{\mbox\bgroup}?><xref ref-type="bibr" rid="bib1.bibx33" id="text.24"/><?xmltex \hack{\egroup}?>, which uses the TOA
reflectances as a starting point for the atmospheric correction procedure.
The approach is fully detailed in Sect. <xref ref-type="sec" rid="Ch1.S3.SS1.SSS3"/>.</p>
      <p id="d1e423">Per-channel TOA reflectances are extracted directly from version 5.3 of the
PATMOS-x data set <?xmltex \hack{\mbox\bgroup}?><xref ref-type="bibr" rid="bib1.bibx14" id="paren.25"/><?xmltex \hack{\egroup}?> (available at
<uri>https://doi.org/10.7289/V56W982J</uri> and subsequently referred to here as
Px5.3). Px5.3 reflectances are inter-calibrated across AVHRR sensors and are
corrected for sensor degradation throughout. Px5.3 is the first consistently
gridded, climate quality data record of cross-calibrated AVHRR reflectances.
It spans the period from 1979 to the present and contains between 2 and 10
passes per day, dependent on the number of AVHRR instruments operational on
the TIROS-N, NOAA and MetOp platforms at the time
(Fig. <xref ref-type="fig" rid="Ch1.F1"/>). The <inline-formula><mml:math id="M17" display="inline"><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mi mathvariant="normal">rs</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> data set derived
from this record spans from 1979 to 2017 and includes the analysis of
62 359 orbits. To calculate <inline-formula><mml:math id="M18" display="inline"><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mi mathvariant="normal">rs</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>, we use the visible channel 1
(0.63 <inline-formula><mml:math id="M19" display="inline"><mml:mi mathvariant="normal">µ</mml:mi></mml:math></inline-formula>m, 0.1 <inline-formula><mml:math id="M20" display="inline"><mml:mi mathvariant="normal">µ</mml:mi></mml:math></inline-formula>m bandwidth) and the near infra-red (NIR)
channel 2 (0.86 <inline-formula><mml:math id="M21" display="inline"><mml:mi mathvariant="normal">µ</mml:mi></mml:math></inline-formula>m, 0.275 <inline-formula><mml:math id="M22" display="inline"><mml:mi mathvariant="normal">µ</mml:mi></mml:math></inline-formula>m bandwidth) data. Channel 2
is predominantly used to correct for atmospheric aerosol effects, as the
ocean is assumed to be dark in the NIR (e.g. <inline-formula><mml:math id="M23" display="inline"><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mi mathvariant="normal">rs</mml:mi></mml:msub><mml:mo>=</mml:mo><mml:mn mathvariant="normal">0</mml:mn></mml:mrow></mml:math></inline-formula>).</p>
      <p id="d1e502">To facilitate the atmospheric correction scheme, cloud cover, water vapour
and trace gas concentrations, winds, mean sea level pressure and sea surface
temperature fields are extracted from the gridded, 6-hourly ERA-Interim
products, provided by the European Centre for Medium-Range Weather Forecasts
(ECMWF) (available via
<uri>https://www.ecmwf.int/en/forecasts/datasets/reanalysis-datasets/era-interim</uri>,
last access: 14 November 2018).</p>
</sec>
<sec id="Ch1.S3">
  <title>Method</title>
<sec id="Ch1.S3.SS1">
  <title>Processing chain</title>
      <p id="d1e519">Figure <xref ref-type="fig" rid="Ch1.F2"/> presents a schematic diagram of the processing
chain used to derive the <inline-formula><mml:math id="M24" display="inline"><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mi mathvariant="normal">rs</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> and the associated coccolithophorid
bloom map. The processor initial stages (Sect. 3.1.1–Sect. 3.1.4) are
applied to each image in turn. The images are then aggregated into daily
composites and monthly climatologies. Each stage of the processor is
sequentially discussed below.</p>
<sec id="Ch1.S3.SS1.SSS1">
  <title>Initial quality control (QC1)</title>
      <p id="d1e540">To prevent the calculation of erroneous <inline-formula><mml:math id="M25" display="inline"><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mi mathvariant="normal">rs</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> values, input
reflectance data are masked according to a series of criteria based on
measurement fidelity and consideration of the appropriate flags. The QC1
processor only retains reflectances where the following conditions are met:
<list list-type="bullet"><list-item>
      <p id="d1e556">the cloud mask is equal to 0 (clear conditions),</p></list-item><list-item>
      <p id="d1e560">the glint mask is equal to 0 (no glint present),</p></list-item><list-item>
      <p id="d1e564">the land mask is not equal to 1 (permitting only ocean, coastal and inland water pixels),</p></list-item><list-item>
      <p id="d1e568">the “bad pixel” mask is equal to 0,</p></list-item><list-item>
      <p id="d1e572">the snow class mask is equal to 0 (no sea ice),</p></list-item><list-item>
      <p id="d1e576"><inline-formula><mml:math id="M26" display="inline"><mml:mrow><mml:mn mathvariant="normal">0.0</mml:mn><mml:mo>≤</mml:mo><mml:msub><mml:mi>R</mml:mi><mml:mi mathvariant="normal">TOA</mml:mi></mml:msub><mml:mo>≤</mml:mo><mml:mn mathvariant="normal">1.0</mml:mn></mml:mrow></mml:math></inline-formula> is satisfied for both channel 1 and channel 2,</p></list-item><list-item>
      <p id="d1e598">the sensor and solar zenith angles are finite and <inline-formula><mml:math id="M27" display="inline"><mml:mrow><mml:mo>&lt;</mml:mo><mml:mn mathvariant="normal">90</mml:mn></mml:mrow></mml:math></inline-formula><inline-formula><mml:math id="M28" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>,</p></list-item><list-item>
      <p id="d1e620">the relative azimuth angle is finite.</p></list-item></list></p>
      <p id="d1e623">Once these masking operations are complete, the QC1 processor passes the
quality-controlled TOA reflectances to the <inline-formula><mml:math id="M29" display="inline"><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mi mathvariant="normal">rs</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> processor, which
awaits atmospheric inputs.</p>
</sec>
<?pagebreak page2045?><sec id="Ch1.S3.SS1.SSS2">
  <title>Atmospheric processor</title>
      <p id="d1e643">Atmospheric data are required to calculate both the contribution of whitecaps
to the ocean reflectance and the gas absorbance transmission scaling factors
for ozone and water vapour. For each scene, the atmospheric processor
bilinearly interpolates the contemporaneous ERA-Interim fields onto the Px5.3
grid, in both space and time. Wind speed at 10 m (m s<inline-formula><mml:math id="M30" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>), ozone
concentration (Dobson units) and water vapour concentration (kg m<inline-formula><mml:math id="M31" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>)
are passed to the <inline-formula><mml:math id="M32" display="inline"><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mi mathvariant="normal">rs</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> processor to support atmospheric
correction. <?xmltex \hack{\newpage}?></p>
</sec>
<sec id="Ch1.S3.SS1.SSS3">
  <?xmltex \opttitle{$R_{\mathrm{rs}}$ processor: atmospheric correction}?><title><inline-formula><mml:math id="M33" display="inline"><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mi mathvariant="normal">rs</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> processor: atmospheric correction</title>
      <p id="d1e699">The total TOA radiance measured by a satellite contains contributions from
atmospheric scattering, reflections from the sea surface and the water-leaving
radiance. The water-leaving component is of primary interest here
and is typically much smaller than the atmospheric signal. Consequently, we
must perform an atmospheric correction procedure to isolate the signal of
interest.</p>
      <p id="d1e702">In general terms, the TOA radiance can be written as <xref ref-type="bibr" rid="bib1.bibx9" id="paren.26"/>

                  <disp-formula specific-use="align" content-type="numbered"><mml:math id="M34" display="block"><mml:mtable displaystyle="true"><mml:mtr><mml:mtd><mml:mstyle displaystyle="true" class="stylechange"/></mml:mtd><mml:mtd><mml:mrow><mml:mstyle class="stylechange" displaystyle="true"/><mml:msup><mml:mi>L</mml:mi><mml:mi mathvariant="normal">TOA</mml:mi></mml:msup><mml:mo>=</mml:mo><mml:mo mathsize="2.5em">[</mml:mo><mml:msup><mml:mi>L</mml:mi><mml:mi mathvariant="normal">Rayl</mml:mi></mml:msup><mml:mo>+</mml:mo><mml:msup><mml:mi>L</mml:mi><mml:mi mathvariant="normal">A</mml:mi></mml:msup><mml:mo>+</mml:mo><mml:msup><mml:mi mathvariant="normal">td</mml:mi><mml:mi mathvariant="normal">s</mml:mi></mml:msup><mml:mo>⋅</mml:mo><mml:msup><mml:mi>L</mml:mi><mml:mi mathvariant="normal">wcap</mml:mi></mml:msup><mml:mo>+</mml:mo><mml:msup><mml:mi mathvariant="normal">td</mml:mi><mml:mi mathvariant="normal">s</mml:mi></mml:msup><mml:mo>⋅</mml:mo><mml:msup><mml:mi>L</mml:mi><mml:mi mathvariant="normal">w</mml:mi></mml:msup><mml:mo mathsize="2.5em">]</mml:mo><mml:mo>⋅</mml:mo><mml:msup><mml:mi mathvariant="normal">tg</mml:mi><mml:mn mathvariant="normal">0</mml:mn></mml:msup><mml:mo>⋅</mml:mo><mml:msup><mml:mi mathvariant="normal">tg</mml:mi><mml:mi mathvariant="normal">s</mml:mi></mml:msup><mml:mo>⋅</mml:mo><mml:msub><mml:mi>f</mml:mi><mml:mi mathvariant="normal">p</mml:mi></mml:msub></mml:mrow></mml:mtd></mml:mtr><mml:mlabeledtr id="Ch1.E1"><mml:mtd/><mml:mtd><mml:mstyle class="stylechange" displaystyle="true"/></mml:mtd><mml:mtd><mml:mrow><mml:mstyle displaystyle="true" class="stylechange"/><mml:mspace width="1em" linebreak="nobreak"/><mml:mo>[</mml:mo><mml:mi mathvariant="normal">W</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">m</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:msup><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">sr</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">nm</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup><mml:mo>]</mml:mo><mml:mo>,</mml:mo></mml:mrow></mml:mtd></mml:mlabeledtr></mml:mtable></mml:math></disp-formula>

              where <inline-formula><mml:math id="M35" display="inline"><mml:mrow><mml:msup><mml:mi>L</mml:mi><mml:mi mathvariant="normal">TOA</mml:mi></mml:msup></mml:mrow></mml:math></inline-formula>, <inline-formula><mml:math id="M36" display="inline"><mml:mrow><mml:msup><mml:mi>L</mml:mi><mml:mi mathvariant="normal">Rayl</mml:mi></mml:msup></mml:mrow></mml:math></inline-formula>, <inline-formula><mml:math id="M37" display="inline"><mml:mrow><mml:msup><mml:mi>L</mml:mi><mml:mi mathvariant="normal">A</mml:mi></mml:msup></mml:mrow></mml:math></inline-formula>, <inline-formula><mml:math id="M38" display="inline"><mml:mrow><mml:msup><mml:mi>L</mml:mi><mml:mi mathvariant="normal">wcap</mml:mi></mml:msup></mml:mrow></mml:math></inline-formula>
and <inline-formula><mml:math id="M39" display="inline"><mml:mrow><mml:msup><mml:mi>L</mml:mi><mml:mi mathvariant="normal">w</mml:mi></mml:msup></mml:mrow></mml:math></inline-formula> refer to the radiance (<inline-formula><mml:math id="M40" display="inline"><mml:mi>L</mml:mi></mml:math></inline-formula>) at the top of atmosphere, due
to Rayleigh scattering, due to aerosol scattering, due to whitecaps and due
to the water-leaving components, respectively. The transmission coefficients for atmospheric gases
(<inline-formula><mml:math id="M41" display="inline"><mml:mi mathvariant="normal">tg</mml:mi></mml:math></inline-formula>) and the associated atmospheric scaling factors
(<inline-formula><mml:math id="M42" display="inline"><mml:mi mathvariant="normal">td</mml:mi></mml:math></inline-formula>) are superscripted according to the solar (<inline-formula><mml:math id="M43" display="inline"><mml:mn mathvariant="normal">0</mml:mn></mml:math></inline-formula>) and sensor (s)
viewing directions. AVHRR is minimally sensitive to changes in polarisation
<xref ref-type="bibr" rid="bib1.bibx40" id="paren.27"/>, and the polarisation factor, <inline-formula><mml:math id="M44" display="inline"><mml:mrow><mml:msub><mml:mi>f</mml:mi><mml:mi mathvariant="normal">p</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>, is set to unity.</p>
      <?pagebreak page2046?><p id="d1e936">P5.3x provides calibrated TOA bi-directional reflectance which has been
normalised by <inline-formula><mml:math id="M45" display="inline"><mml:mrow><mml:msub><mml:mi>F</mml:mi><mml:mn mathvariant="normal">0</mml:mn></mml:msub><mml:mo>⋅</mml:mo><mml:mo>(</mml:mo><mml:mi>R</mml:mi><mml:mo>/</mml:mo><mml:msub><mml:mi>R</mml:mi><mml:mn mathvariant="normal">0</mml:mn></mml:msub><mml:msup><mml:mo>)</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:msup><mml:mo>⋅</mml:mo><mml:mi>cos⁡</mml:mi><mml:mo>(</mml:mo><mml:msub><mml:mi mathvariant="italic">θ</mml:mi><mml:mn mathvariant="normal">0</mml:mn></mml:msub><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula>, where
<inline-formula><mml:math id="M46" display="inline"><mml:mrow><mml:msub><mml:mi>F</mml:mi><mml:mn mathvariant="normal">0</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> is the solar constant <xref ref-type="bibr" rid="bib1.bibx27" id="paren.28"/>, <inline-formula><mml:math id="M47" display="inline"><mml:mrow><mml:mi>R</mml:mi><mml:mo>/</mml:mo><mml:msub><mml:mi>R</mml:mi><mml:mn mathvariant="normal">0</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> the Earth–Sun
distance ratio and <inline-formula><mml:math id="M48" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">θ</mml:mi><mml:mn mathvariant="normal">0</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> the solar zenith angle. Therefore, it is
convenient to recast Eq. (<xref ref-type="disp-formula" rid="Ch1.E1"/>) in terms of reflectance. As
remote-sensing reflectance (<inline-formula><mml:math id="M49" display="inline"><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mi mathvariant="normal">rs</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>) is defined as the water-leaving
radiance (<inline-formula><mml:math id="M50" display="inline"><mml:mrow><mml:msup><mml:mi>L</mml:mi><mml:mi mathvariant="normal">w</mml:mi></mml:msup></mml:mrow></mml:math></inline-formula>) divided by the downwelling irradiance
(<inline-formula><mml:math id="M51" display="inline"><mml:mrow><mml:msub><mml:mi>E</mml:mi><mml:mi mathvariant="normal">d</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>), and <inline-formula><mml:math id="M52" display="inline"><mml:mrow><mml:msub><mml:mi>E</mml:mi><mml:mi mathvariant="normal">d</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> is proportional to the incoming solar
radiance (as shown in Eq. <xref ref-type="disp-formula" rid="Ch1.E2"/>), Eq. (<xref ref-type="disp-formula" rid="Ch1.E1"/>) can be
re-written as Eq. (<xref ref-type="disp-formula" rid="Ch1.E3"/>).

                  <disp-formula specific-use="align" content-type="numbered"><mml:math id="M53" display="block"><mml:mtable displaystyle="true"><mml:mlabeledtr id="Ch1.E2"><mml:mtd/><mml:mtd><mml:mstyle class="stylechange" displaystyle="true"/></mml:mtd><mml:mtd><mml:mrow><mml:mstyle class="stylechange" displaystyle="true"/><mml:msub><mml:mi>E</mml:mi><mml:mi mathvariant="normal">d</mml:mi></mml:msub><mml:mo>=</mml:mo><mml:msub><mml:mi>F</mml:mi><mml:mn mathvariant="normal">0</mml:mn></mml:msub><mml:mo>⋅</mml:mo><mml:mo>(</mml:mo><mml:mi>R</mml:mi><mml:mo>/</mml:mo><mml:msub><mml:mi>R</mml:mi><mml:mn mathvariant="normal">0</mml:mn></mml:msub><mml:msup><mml:mo>)</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:msup><mml:mo>⋅</mml:mo><mml:mi>cos⁡</mml:mi><mml:mo>(</mml:mo><mml:msub><mml:mi mathvariant="italic">θ</mml:mi><mml:mn mathvariant="normal">0</mml:mn></mml:msub><mml:mo>)</mml:mo><mml:mo>⋅</mml:mo><mml:msup><mml:mi mathvariant="normal">td</mml:mi><mml:mn mathvariant="normal">0</mml:mn></mml:msup><mml:mspace width="1em" linebreak="nobreak"/><mml:mspace linebreak="nobreak" width="1em"/><mml:mo>[</mml:mo><mml:mi mathvariant="normal">W</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">m</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:msup><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">nm</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup><mml:mo>]</mml:mo><mml:mo>,</mml:mo></mml:mrow></mml:mtd></mml:mlabeledtr><mml:mtr><mml:mtd><mml:mstyle displaystyle="true" class="stylechange"/></mml:mtd><mml:mtd><mml:mrow><mml:mstyle displaystyle="true" class="stylechange"/><mml:msub><mml:mi>R</mml:mi><mml:mi>n</mml:mi></mml:msub><mml:mo>=</mml:mo><mml:mstyle displaystyle="true"><mml:mfrac style="display"><mml:mn mathvariant="normal">1</mml:mn><mml:mrow><mml:msubsup><mml:mi mathvariant="normal">td</mml:mi><mml:mi>n</mml:mi><mml:mn mathvariant="normal">0</mml:mn></mml:msubsup></mml:mrow></mml:mfrac></mml:mstyle><mml:mo>⋅</mml:mo><mml:mstyle displaystyle="true"><mml:mfrac style="display"><mml:mn mathvariant="normal">1</mml:mn><mml:mrow><mml:msub><mml:mi>F</mml:mi><mml:mn mathvariant="normal">0</mml:mn></mml:msub><mml:mo>⋅</mml:mo><mml:mo>(</mml:mo><mml:mi>R</mml:mi><mml:mo>/</mml:mo><mml:msub><mml:mi>R</mml:mi><mml:mi>o</mml:mi></mml:msub><mml:msup><mml:mo>)</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:msup><mml:mo>⋅</mml:mo><mml:mi>cos⁡</mml:mi><mml:mo>(</mml:mo><mml:msub><mml:mi mathvariant="italic">θ</mml:mi><mml:mn mathvariant="normal">0</mml:mn></mml:msub><mml:mo>)</mml:mo></mml:mrow></mml:mfrac></mml:mstyle></mml:mrow></mml:mtd></mml:mtr><mml:mlabeledtr id="Ch1.E3"><mml:mtd/><mml:mtd><mml:mstyle displaystyle="true" class="stylechange"/></mml:mtd><mml:mtd><mml:mrow><mml:mstyle displaystyle="true" class="stylechange"/><mml:mspace linebreak="nobreak" width="1em"/><mml:mo mathsize="2.5em">[</mml:mo><mml:mstyle displaystyle="true"><mml:mfrac style="display"><mml:mrow><mml:msubsup><mml:mi>L</mml:mi><mml:mi>n</mml:mi><mml:mi mathvariant="normal">TOA</mml:mi></mml:msubsup></mml:mrow><mml:mrow><mml:msubsup><mml:mi mathvariant="normal">tg</mml:mi><mml:mi>n</mml:mi><mml:mi mathvariant="normal">s</mml:mi></mml:msubsup><mml:mo>⋅</mml:mo><mml:msubsup><mml:mi mathvariant="normal">tg</mml:mi><mml:mi>n</mml:mi><mml:mn mathvariant="normal">0</mml:mn></mml:msubsup><mml:mo>⋅</mml:mo><mml:msubsup><mml:mi mathvariant="normal">td</mml:mi><mml:mi>n</mml:mi><mml:mi mathvariant="normal">s</mml:mi></mml:msubsup></mml:mrow></mml:mfrac></mml:mstyle><mml:mo>-</mml:mo><mml:mstyle displaystyle="true"><mml:mfrac style="display"><mml:mrow><mml:msubsup><mml:mi>L</mml:mi><mml:mi>n</mml:mi><mml:mi mathvariant="normal">Rayl</mml:mi></mml:msubsup></mml:mrow><mml:mrow><mml:msubsup><mml:mi mathvariant="normal">td</mml:mi><mml:mi>n</mml:mi><mml:mi mathvariant="normal">s</mml:mi></mml:msubsup></mml:mrow></mml:mfrac></mml:mstyle><mml:mo>-</mml:mo><mml:msubsup><mml:mi>L</mml:mi><mml:mi>n</mml:mi><mml:mi mathvariant="normal">wcap</mml:mi></mml:msubsup><mml:mo>-</mml:mo><mml:msubsup><mml:mi>L</mml:mi><mml:mi>n</mml:mi><mml:mi mathvariant="normal">A</mml:mi></mml:msubsup><mml:mo mathsize="2.5em">]</mml:mo><mml:mo>,</mml:mo></mml:mrow></mml:mtd></mml:mlabeledtr></mml:mtable></mml:math></disp-formula>

              where <inline-formula><mml:math id="M54" display="inline"><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mi>n</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> is the corrected reflectance for the given channel, denoted by
the <inline-formula><mml:math id="M55" display="inline"><mml:mi>n</mml:mi></mml:math></inline-formula> subscript. As the first bracketed term in Eq. (<xref ref-type="disp-formula" rid="Ch1.E3"/>) is
proportional to the TOA reflectance provided by the P5.3x data set,
Eq. (<xref ref-type="disp-formula" rid="Ch1.E3"/>) can be re-written as

                  <disp-formula id="Ch1.E4" content-type="numbered"><mml:math id="M56" display="block"><mml:mrow><mml:mstyle class="stylechange" displaystyle="true"/><mml:msub><mml:mi>R</mml:mi><mml:mi>n</mml:mi></mml:msub><mml:mo>=</mml:mo><mml:mstyle displaystyle="true"><mml:mfrac style="display"><mml:mn mathvariant="normal">1</mml:mn><mml:mrow><mml:msubsup><mml:mi mathvariant="normal">td</mml:mi><mml:mi>n</mml:mi><mml:mn mathvariant="normal">0</mml:mn></mml:msubsup></mml:mrow></mml:mfrac></mml:mstyle><mml:mo>⋅</mml:mo><mml:mo mathsize="2.5em">[</mml:mo><mml:mstyle displaystyle="true"><mml:mfrac style="display"><mml:mrow><mml:msubsup><mml:mi>R</mml:mi><mml:mi>n</mml:mi><mml:mi mathvariant="normal">TOA</mml:mi></mml:msubsup></mml:mrow><mml:mrow><mml:msubsup><mml:mi mathvariant="normal">tg</mml:mi><mml:mi>n</mml:mi><mml:mi mathvariant="normal">s</mml:mi></mml:msubsup><mml:mo>⋅</mml:mo><mml:msubsup><mml:mi mathvariant="normal">tg</mml:mi><mml:mi>n</mml:mi><mml:mn mathvariant="normal">0</mml:mn></mml:msubsup><mml:mo>⋅</mml:mo><mml:msubsup><mml:mi mathvariant="normal">td</mml:mi><mml:mi>n</mml:mi><mml:mi mathvariant="normal">s</mml:mi></mml:msubsup></mml:mrow></mml:mfrac></mml:mstyle><mml:mo>-</mml:mo><mml:mstyle displaystyle="true"><mml:mfrac style="display"><mml:mrow><mml:msubsup><mml:mi>R</mml:mi><mml:mi>n</mml:mi><mml:mi mathvariant="normal">Rayl</mml:mi></mml:msubsup></mml:mrow><mml:mrow><mml:msubsup><mml:mi mathvariant="normal">td</mml:mi><mml:mi>n</mml:mi><mml:mi mathvariant="normal">s</mml:mi></mml:msubsup></mml:mrow></mml:mfrac></mml:mstyle><mml:mo>-</mml:mo><mml:msubsup><mml:mi>R</mml:mi><mml:mi>n</mml:mi><mml:mi mathvariant="normal">wcap</mml:mi></mml:msubsup><mml:mo>-</mml:mo><mml:msubsup><mml:mi>R</mml:mi><mml:mi>n</mml:mi><mml:mi mathvariant="normal">A</mml:mi></mml:msubsup><mml:mo mathsize="2.5em">]</mml:mo><mml:mo>,</mml:mo></mml:mrow></mml:math></disp-formula>

            where <inline-formula><mml:math id="M57" display="inline"><mml:mrow><mml:msubsup><mml:mi>R</mml:mi><mml:mi>n</mml:mi><mml:mi mathvariant="normal">Rayl</mml:mi></mml:msubsup></mml:mrow></mml:math></inline-formula>, <inline-formula><mml:math id="M58" display="inline"><mml:mrow><mml:msubsup><mml:mi>R</mml:mi><mml:mi>n</mml:mi><mml:mi mathvariant="normal">wcap</mml:mi></mml:msubsup></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M59" display="inline"><mml:mrow><mml:msubsup><mml:mi>R</mml:mi><mml:mi>n</mml:mi><mml:mi mathvariant="normal">A</mml:mi></mml:msubsup></mml:mrow></mml:math></inline-formula> are
the channel <inline-formula><mml:math id="M60" display="inline"><mml:mi>n</mml:mi></mml:math></inline-formula> Rayleigh, whitecap and aerosol reflectance terms,
respectively. Each of these correction terms are now discussed in turn.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F2" specific-use="star"><caption><p id="d1e1508">Schematic diagram showing the different stages of the remote-sensing
reflectance (<inline-formula><mml:math id="M61" display="inline"><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mi mathvariant="normal">rs</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>) processing chain. The blue-shaded region
generates the unfiltered <inline-formula><mml:math id="M62" display="inline"><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mi mathvariant="normal">rs</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> product; the red-shaded region
subsequently generates the filtered <inline-formula><mml:math id="M63" display="inline"><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mi mathvariant="normal">rs</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> product. PML, NOAA and
ECMWF refer to Plymouth Marine Laboratory, the National Oceanic and
Atmospheric Administration and the European Centre for Medium-Range Weather
Forecasts, respectively.</p></caption>
            <?xmltex \igopts{width=384.112205pt}?><graphic xlink:href="https://essd.copernicus.org/articles/10/2043/2018/essd-10-2043-2018-f02.pdf"/>

          </fig>

      <p id="d1e1550">Rayleigh scattering is a function of wavelength, and satellite and
solar-viewing angles. For each wavelength, the Rayleigh reflectance,
<inline-formula><mml:math id="M64" display="inline"><mml:mrow><mml:msubsup><mml:mi>R</mml:mi><mml:mi>n</mml:mi><mml:mi mathvariant="normal">Rayl</mml:mi></mml:msubsup></mml:mrow></mml:math></inline-formula>, is bilinearly interpolated from a look-up table of
Rayleigh radiance components, discretised by <inline-formula><mml:math id="M65" display="inline"><mml:mrow><mml:mn mathvariant="normal">2</mml:mn><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula> solar and satellite
zenith angles and normalised by the extraterrestrial solar irradiance
<xref ref-type="bibr" rid="bib1.bibx27" id="paren.29"/>. The look-up table was calculated using values of 0.057 and
0.02 for the Rayleigh scattering optical depth (<inline-formula><mml:math id="M66" display="inline"><mml:mi mathvariant="italic">τ</mml:mi></mml:math></inline-formula>) for the AVHRR visible
and NIR channels, respectively <?xmltex \hack{\mbox\bgroup}?><xref ref-type="bibr" rid="bib1.bibx8" id="paren.30"/><?xmltex \hack{\egroup}?>. Each entry in the table
contains three sets of Rayleigh radiance components, <inline-formula><mml:math id="M67" display="inline"><mml:mrow><mml:msub><mml:mi>A</mml:mi><mml:mrow><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:mrow></mml:msub></mml:mrow></mml:math></inline-formula>, and total
Rayleigh reflectance is calculated using

                  <disp-formula specific-use="align" content-type="numbered"><mml:math id="M68" display="block"><mml:mtable displaystyle="true"><mml:mtr><mml:mtd><mml:mstyle displaystyle="true" class="stylechange"/></mml:mtd><mml:mtd><mml:mrow><mml:mstyle class="stylechange" displaystyle="true"/><mml:msup><mml:mi>R</mml:mi><mml:mi mathvariant="normal">rayl</mml:mi></mml:msup><mml:mo>(</mml:mo><mml:mi mathvariant="italic">λ</mml:mi><mml:mo>)</mml:mo><mml:mo>=</mml:mo><mml:mstyle displaystyle="true"><mml:mfrac style="display"><mml:mi mathvariant="italic">π</mml:mi><mml:mrow><mml:mi>cos⁡</mml:mi><mml:mo>(</mml:mo><mml:msub><mml:mi mathvariant="italic">θ</mml:mi><mml:mn mathvariant="normal">0</mml:mn></mml:msub><mml:mo>)</mml:mo></mml:mrow></mml:mfrac></mml:mstyle><mml:mo>⋅</mml:mo><mml:mo mathsize="2.5em">[</mml:mo><mml:msub><mml:mi>A</mml:mi><mml:mn mathvariant="normal">0</mml:mn></mml:msub><mml:mo>(</mml:mo><mml:mi mathvariant="italic">λ</mml:mi><mml:mo>)</mml:mo><mml:mo>+</mml:mo><mml:msub><mml:mi>A</mml:mi><mml:mn mathvariant="normal">1</mml:mn></mml:msub><mml:mo>(</mml:mo><mml:mi mathvariant="italic">λ</mml:mi><mml:mo>)</mml:mo><mml:mo>⋅</mml:mo><mml:mi>cos⁡</mml:mi><mml:mo>(</mml:mo><mml:mi mathvariant="italic">δ</mml:mi><mml:mi mathvariant="italic">ϕ</mml:mi><mml:mo>)</mml:mo><mml:mo>+</mml:mo><mml:msub><mml:mi>A</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mo>(</mml:mo><mml:mi mathvariant="italic">λ</mml:mi><mml:mo>)</mml:mo></mml:mrow></mml:mtd></mml:mtr><mml:mlabeledtr id="Ch1.E5"><mml:mtd/><mml:mtd><mml:mstyle displaystyle="true" class="stylechange"/></mml:mtd><mml:mtd><mml:mrow><mml:mstyle class="stylechange" displaystyle="true"/><mml:mspace width="1em" linebreak="nobreak"/><mml:mo>⋅</mml:mo><mml:mi>cos⁡</mml:mi><mml:mo>(</mml:mo><mml:mn mathvariant="normal">2</mml:mn><mml:mi mathvariant="italic">δ</mml:mi><mml:mi mathvariant="italic">ϕ</mml:mi><mml:mo>)</mml:mo><mml:mo mathsize="2.5em">]</mml:mo><mml:mo>,</mml:mo></mml:mrow></mml:mtd></mml:mlabeledtr></mml:mtable></mml:math></disp-formula>

              where <inline-formula><mml:math id="M69" display="inline"><mml:mrow><mml:msub><mml:mi>A</mml:mi><mml:mn mathvariant="normal">0</mml:mn></mml:msub><mml:mo>(</mml:mo><mml:mi mathvariant="italic">λ</mml:mi><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula>, <inline-formula><mml:math id="M70" display="inline"><mml:mrow><mml:msub><mml:mi>A</mml:mi><mml:mn mathvariant="normal">1</mml:mn></mml:msub><mml:mo>(</mml:mo><mml:mi mathvariant="italic">λ</mml:mi><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M71" display="inline"><mml:mrow><mml:msub><mml:mi>A</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mo>(</mml:mo><mml:mi mathvariant="italic">λ</mml:mi><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula> are the
linearly interpolated Rayleigh radiances for a given wavelength, solar zenith
angle and relative azimuth (<inline-formula><mml:math id="M72" display="inline"><mml:mrow><mml:mi mathvariant="italic">δ</mml:mi><mml:mi mathvariant="italic">ϕ</mml:mi><mml:mo>=</mml:mo><mml:mo>[</mml:mo><mml:mn mathvariant="normal">180</mml:mn><mml:mo>-</mml:mo><mml:mo>(</mml:mo><mml:msub><mml:mi mathvariant="italic">θ</mml:mi><mml:mi mathvariant="normal">s</mml:mi></mml:msub><mml:mo>-</mml:mo><mml:msub><mml:mi mathvariant="italic">θ</mml:mi><mml:mn mathvariant="normal">0</mml:mn></mml:msub><mml:mo>)</mml:mo><mml:mo>]</mml:mo></mml:mrow></mml:math></inline-formula>), where
<inline-formula><mml:math id="M73" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">θ</mml:mi><mml:mi mathvariant="normal">s</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> is the satellite zenith angle.</p>
      <p id="d1e1836">Reflectance due to whitecaps is a function of both wind speed and wavelength.
Here, this is calculated according to the method described by <xref ref-type="bibr" rid="bib1.bibx19" id="text.31"/>.
The whitecap reflectance is calculated using

                  <disp-formula id="Ch1.E6" content-type="numbered"><mml:math id="M74" display="block"><mml:mrow><mml:mstyle displaystyle="true" class="stylechange"/><mml:msup><mml:mi>R</mml:mi><mml:mi mathvariant="normal">wcap</mml:mi></mml:msup><mml:mo>(</mml:mo><mml:mi mathvariant="italic">λ</mml:mi><mml:mo>)</mml:mo><mml:mo>=</mml:mo><mml:mn mathvariant="normal">2.95</mml:mn><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="normal">10</mml:mn><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">6</mml:mn></mml:mrow></mml:msup><mml:mo>⋅</mml:mo><mml:msubsup><mml:mi>U</mml:mi><mml:mn mathvariant="normal">10</mml:mn><mml:mn mathvariant="normal">3.52</mml:mn></mml:msubsup><mml:mo>⋅</mml:mo><mml:msub><mml:mi>R</mml:mi><mml:mi mathvariant="normal">ef</mml:mi></mml:msub><mml:mo>(</mml:mo><mml:mi mathvariant="italic">λ</mml:mi><mml:mo>)</mml:mo><mml:mo>,</mml:mo></mml:mrow></mml:math></disp-formula>

            where <inline-formula><mml:math id="M75" display="inline"><mml:mi mathvariant="italic">λ</mml:mi></mml:math></inline-formula> is wavelength in microns; <inline-formula><mml:math id="M76" display="inline"><mml:mrow><mml:msub><mml:mi>U</mml:mi><mml:mn mathvariant="normal">10</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> is the 10 m wind
speed, as provided by the ingested ERA interim fields; and
<inline-formula><mml:math id="M77" display="inline"><mml:mrow><mml:mi>R</mml:mi><mml:mo>(</mml:mo><mml:mi mathvariant="italic">λ</mml:mi><mml:msub><mml:mo>)</mml:mo><mml:mi mathvariant="normal">ef</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> is the wavelength-dependent effective reflectance.
The appropriate effective reflectance value is interpolated from a look-up
table derived from <xref ref-type="bibr" rid="bib1.bibx19" id="text.32"/>, generalised to include NIR wavelengths.</p>
      <p id="d1e1938">To correct for aerosol effects, we adopt the approach used by <xref ref-type="bibr" rid="bib1.bibx33" id="text.33"/>
and <xref ref-type="bibr" rid="bib1.bibx38" id="text.34"/>. The assumptions here are twofold: firstly that the aerosol
reflectance for channel 1 and channel 2 is equal <?xmltex \hack{\mbox\bgroup}?><xref ref-type="bibr" rid="bib1.bibx36" id="paren.35"/><?xmltex \hack{\egroup}?> and
secondly that <inline-formula><mml:math id="M78" display="inline"><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mi mathvariant="normal">rs</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> in channel 2 is zero. Using these assumptions,
the reflectances in the visible and NIR channels can be used to isolate and
remove the aerosol signal from the reflectance calculation, using
Eq. (<xref ref-type="disp-formula" rid="Ch1.E7"/>):

                  <disp-formula id="Ch1.E7" content-type="numbered"><mml:math id="M79" display="block"><mml:mrow><mml:mstyle displaystyle="true" class="stylechange"/><mml:mtable rowspacing="0.2ex" class="aligned" columnspacing="1em" displaystyle="true" columnalign="right"><mml:mtr><mml:mtd><mml:mrow><mml:mstyle displaystyle="true" class="stylechange"/><mml:msub><mml:mi>R</mml:mi><mml:mrow><mml:msub><mml:mi mathvariant="normal">rs</mml:mi><mml:mn mathvariant="normal">1</mml:mn></mml:msub></mml:mrow></mml:msub><mml:mo>-</mml:mo><mml:msub><mml:mi>R</mml:mi><mml:mrow><mml:msub><mml:mi mathvariant="normal">rs</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:msub><mml:mo>=</mml:mo><mml:mstyle displaystyle="true"><mml:mfrac style="display"><mml:mn mathvariant="normal">1</mml:mn><mml:mi mathvariant="italic">π</mml:mi></mml:mfrac></mml:mstyle><mml:mo>⋅</mml:mo><mml:mstyle displaystyle="true"><mml:mfrac style="display"><mml:mrow><mml:mo>(</mml:mo><mml:msub><mml:mi>R</mml:mi><mml:mn mathvariant="normal">1</mml:mn></mml:msub><mml:mo>-</mml:mo><mml:msub><mml:mi>R</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mo>)</mml:mo></mml:mrow><mml:mrow><mml:mi>exp⁡</mml:mi><mml:mo>(</mml:mo><mml:mo>-</mml:mo><mml:mn mathvariant="normal">0.5</mml:mn><mml:mo>⋅</mml:mo><mml:msub><mml:mi mathvariant="italic">τ</mml:mi><mml:mn mathvariant="normal">0</mml:mn></mml:msub><mml:mo>⋅</mml:mo><mml:mi mathvariant="normal">pl</mml:mi><mml:mo>)</mml:mo></mml:mrow></mml:mfrac></mml:mstyle></mml:mrow></mml:mtd></mml:mtr><mml:mtr><mml:mtd><mml:mrow><mml:mstyle displaystyle="true" class="stylechange"/><mml:msub><mml:mi>R</mml:mi><mml:mrow><mml:msub><mml:mi mathvariant="normal">rs</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:msub><mml:mo>→</mml:mo><mml:mn mathvariant="normal">0</mml:mn><mml:mspace width="1em" linebreak="nobreak"/><mml:mspace linebreak="nobreak" width="1em"/><mml:mo>[</mml:mo><mml:msup><mml:mi mathvariant="normal">sr</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup><mml:mo>]</mml:mo><mml:mo>,</mml:mo></mml:mrow></mml:mtd></mml:mtr></mml:mtable></mml:mrow></mml:math></disp-formula>

            where pl is the atmospheric path length (<inline-formula><mml:math id="M80" display="inline"><mml:mrow><mml:mn mathvariant="normal">1</mml:mn><mml:mo>/</mml:mo><mml:mi>cos⁡</mml:mi><mml:msub><mml:mi mathvariant="italic">θ</mml:mi><mml:mn mathvariant="normal">0</mml:mn></mml:msub><mml:mo>+</mml:mo><mml:mn mathvariant="normal">1</mml:mn><mml:mo>/</mml:mo><mml:mi>cos⁡</mml:mi><mml:msub><mml:mi mathvariant="italic">θ</mml:mi><mml:mi mathvariant="normal">s</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>) and <inline-formula><mml:math id="M81" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">τ</mml:mi><mml:mn mathvariant="normal">0</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> is the Rayleigh optical depth for
channel 1 for a path length of unity. <inline-formula><mml:math id="M82" display="inline"><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mn mathvariant="normal">1</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M83" display="inline"><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> are the respective
channel 1 and 2 TOA reflectances (<inline-formula><mml:math id="M84" display="inline"><mml:mrow><mml:msup><mml:mi>R</mml:mi><mml:mi mathvariant="normal">TOA</mml:mi></mml:msup></mml:mrow></mml:math></inline-formula>), corrected for Rayleigh
scattering (<inline-formula><mml:math id="M85" display="inline"><mml:mrow><mml:msup><mml:mi>R</mml:mi><mml:mi mathvariant="normal">Rayl</mml:mi></mml:msup></mml:mrow></mml:math></inline-formula>), whitecaps (<inline-formula><mml:math id="M86" display="inline"><mml:mrow><mml:msup><mml:mi>R</mml:mi><mml:mi mathvariant="normal">wcap</mml:mi></mml:msup></mml:mrow></mml:math></inline-formula>) and atmospheric
transmission (as given by Eq. <xref ref-type="disp-formula" rid="Ch1.E4"/>). <inline-formula><mml:math id="M87" display="inline"><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mi mathvariant="normal">rs</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>
values are not retained where the Rayleigh reflectance calculation fails.</p>
      <p id="d1e2192">Ozone and water vapour absorption values for AVHRR channels 1 and 2 are
provided by <xref ref-type="bibr" rid="bib1.bibx20" id="text.36"/> and <xref ref-type="bibr" rid="bib1.bibx37" id="text.37"/>, and implemented as

                  <disp-formula id="Ch1.E8" content-type="numbered"><mml:math id="M88" display="block"><mml:mrow><mml:mstyle displaystyle="true" class="stylechange"/><mml:msup><mml:mi mathvariant="normal">tg</mml:mi><mml:mi mathvariant="normal">s</mml:mi></mml:msup><mml:mo>(</mml:mo><mml:mi mathvariant="italic">λ</mml:mi><mml:mo>)</mml:mo><mml:mo>=</mml:mo><mml:msubsup><mml:mi mathvariant="normal">tg</mml:mi><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow><mml:mi mathvariant="normal">s</mml:mi></mml:msubsup><mml:mo>(</mml:mo><mml:mi mathvariant="italic">λ</mml:mi><mml:mo>)</mml:mo><mml:mo>⋅</mml:mo><mml:msubsup><mml:mi mathvariant="normal">tg</mml:mi><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">H</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow><mml:mi mathvariant="normal">s</mml:mi></mml:msubsup><mml:mo>(</mml:mo><mml:mi mathvariant="italic">λ</mml:mi><mml:mo>)</mml:mo><mml:mo>⋅</mml:mo><mml:msubsup><mml:mi mathvariant="normal">tg</mml:mi><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow><mml:mi mathvariant="normal">s</mml:mi></mml:msubsup><mml:mo>(</mml:mo><mml:mi mathvariant="italic">λ</mml:mi><mml:mo>)</mml:mo><mml:mo>⋅</mml:mo><mml:msubsup><mml:mi mathvariant="normal">tg</mml:mi><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow><mml:mi mathvariant="normal">s</mml:mi></mml:msubsup><mml:mo>(</mml:mo><mml:mi mathvariant="italic">λ</mml:mi><mml:mo>)</mml:mo><mml:mo>,</mml:mo></mml:mrow></mml:math></disp-formula>

            where the ozone and water vapour transmission components along the sensor
viewing path length are calculated according to equations of the form

                  <disp-formula id="Ch1.E9" content-type="numbered"><mml:math id="M89" display="block"><mml:mrow><mml:mstyle displaystyle="true" class="stylechange"/><?xmltex \hack{\hbox\bgroup\fontsize{9.5}{9.5}\selectfont$\displaystyle}?><mml:msubsup><mml:mi mathvariant="normal">tg</mml:mi><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow><mml:mi mathvariant="normal">s</mml:mi></mml:msubsup><mml:mo>(</mml:mo><mml:mi mathvariant="italic">λ</mml:mi><mml:mo>)</mml:mo><mml:mo>=</mml:mo><mml:mn mathvariant="normal">1.0</mml:mn><mml:mo>/</mml:mo><mml:mo>(</mml:mo><mml:mn mathvariant="normal">1.0</mml:mn><mml:mo>+</mml:mo><mml:msub><mml:mi>B</mml:mi><mml:mn mathvariant="normal">0</mml:mn></mml:msub><mml:mo>(</mml:mo><mml:mi mathvariant="italic">λ</mml:mi><mml:mo>)</mml:mo><mml:mo>⋅</mml:mo><mml:mo>(</mml:mo><mml:mn mathvariant="normal">1.0</mml:mn><mml:mo>/</mml:mo><mml:mi>cos⁡</mml:mi><mml:mo>(</mml:mo><mml:msub><mml:mi mathvariant="italic">θ</mml:mi><mml:mi mathvariant="normal">s</mml:mi></mml:msub><mml:mo>)</mml:mo><mml:mo>⋅</mml:mo><mml:mo>[</mml:mo><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow><mml:mo>]</mml:mo><mml:mo>(</mml:mo><mml:mi mathvariant="italic">λ</mml:mi><mml:mo>)</mml:mo><mml:msup><mml:mo>)</mml:mo><mml:mrow><mml:msub><mml:mi>B</mml:mi><mml:mn mathvariant="normal">1</mml:mn></mml:msub><mml:mo>(</mml:mo><mml:mi mathvariant="italic">λ</mml:mi><mml:mo>)</mml:mo></mml:mrow></mml:msup><mml:mo>)</mml:mo><?xmltex \hack{$\egroup}?><mml:mo>.</mml:mo></mml:mrow></mml:math></disp-formula>

            <inline-formula><mml:math id="M90" display="inline"><mml:mrow><mml:msub><mml:mi>B</mml:mi><mml:mn mathvariant="normal">0</mml:mn></mml:msub><mml:mo>(</mml:mo><mml:mi mathvariant="italic">λ</mml:mi><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M91" display="inline"><mml:mrow><mml:msub><mml:mi>B</mml:mi><mml:mn mathvariant="normal">1</mml:mn></mml:msub><mml:mo>(</mml:mo><mml:mi mathvariant="italic">λ</mml:mi><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula> are the wavelength-dependent absorption
coefficients for each channel and gas. Concentration values for ozone
<inline-formula><mml:math id="M92" display="inline"><mml:mrow><mml:mo>[</mml:mo><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow><mml:mo>]</mml:mo></mml:mrow></mml:math></inline-formula>, and for water vapour <inline-formula><mml:math id="M93" display="inline"><mml:mrow><mml:mo>[</mml:mo><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">H</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow><mml:mo>]</mml:mo></mml:mrow></mml:math></inline-formula>, are interpolated
from daily ERA-Interim fields. Equations (<xref ref-type="disp-formula" rid="Ch1.E8"/>) and
(<xref ref-type="disp-formula" rid="Ch1.E9"/>) are similarly constructed for the solar-viewing path
length. <inline-formula><mml:math id="M94" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M95" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> scaling factors are set to one as
their absorption is assumed to be negligible (see <xref ref-type="bibr" rid="bib1.bibx20" id="altparen.38"/>, Fig. 2.10).
Atmospheric scaling factors for each viewing path are calculated, using
Eq. (<xref ref-type="disp-formula" rid="Ch1.E10"/>), where <inline-formula><mml:math id="M96" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">τ</mml:mi><mml:mi>R</mml:mi></mml:msub><mml:mo>(</mml:mo><mml:mi mathvariant="italic">λ</mml:mi><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula> is the Rayleigh optical
scattering depth.

                  <disp-formula id="Ch1.E10" content-type="numbered"><mml:math id="M97" display="block"><mml:mrow><mml:mstyle displaystyle="true" class="stylechange"/><mml:msup><mml:mi mathvariant="normal">td</mml:mi><mml:mi mathvariant="normal">s</mml:mi></mml:msup><mml:mo>(</mml:mo><mml:mi mathvariant="italic">λ</mml:mi><mml:mo>)</mml:mo><mml:mo>=</mml:mo><mml:mi>exp⁡</mml:mi><mml:mo>(</mml:mo><mml:mo>-</mml:mo><mml:mn mathvariant="normal">0.5</mml:mn><mml:mo>⋅</mml:mo><mml:msub><mml:mi mathvariant="italic">τ</mml:mi><mml:mi>R</mml:mi></mml:msub><mml:mo>(</mml:mo><mml:mi mathvariant="italic">λ</mml:mi><mml:mo>)</mml:mo><mml:mo>⋅</mml:mo><mml:mo>(</mml:mo><mml:mn mathvariant="normal">1.0</mml:mn><mml:mo>/</mml:mo><mml:mi>cos⁡</mml:mi><mml:mo>(</mml:mo><mml:msub><mml:mi mathvariant="italic">θ</mml:mi><mml:mi mathvariant="normal">s</mml:mi></mml:msub><mml:mo>)</mml:mo><mml:mo>)</mml:mo><mml:mo>)</mml:mo></mml:mrow></mml:math></disp-formula></p>
      <p id="d1e2592">Sunglint is explicitly flagged in and removed from the Px5.3 data sets, and
no further correction for sunglint is applied.</p>
</sec>
<sec id="Ch1.S3.SS1.SSS4">
  <title>Secondary quality control (QC2)</title>
      <?pagebreak page2047?><p id="d1e2602">A secondary quality control procedure removes poor-quality retrievals from
the calculated <inline-formula><mml:math id="M98" display="inline"><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mi mathvariant="normal">rs</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> product, discarding pixels with negative
<inline-formula><mml:math id="M99" display="inline"><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mi mathvariant="normal">rs</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> values. Whilst a rare occurrence, <inline-formula><mml:math id="M100" display="inline"><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mi mathvariant="normal">rs</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> pixels are
also discarded where there is no acquisition time stamp as this renders the
calculated Rayleigh characteristics invalid. In this case, data within a
two-pixel radius of the erroneous point(s) are also discarded.</p>
      <p id="d1e2638">Periodically, low-quality AVHRR data give rise to patterns of erroneously
high <inline-formula><mml:math id="M101" display="inline"><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mi mathvariant="normal">rs</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> values. Typically these aberrations affect a single
pass, resulting in a poor-quality “stripe” across the <inline-formula><mml:math id="M102" display="inline"><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mi mathvariant="normal">rs</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>
image. To remove this effect, each pass in the <inline-formula><mml:math id="M103" display="inline"><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mi mathvariant="normal">rs</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> product is
binned according to its integer hour of acquisition, which roughly
corresponds to an individual pass (no specific pass number is available in
the Px5.3 data). If a pass contains more than 5000 valid data points and has
a mean <inline-formula><mml:math id="M104" display="inline"><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mi mathvariant="normal">rs</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> value of higher than 0.001, the pass is considered to
be of poor quality and all data contained within it are discarded.</p>
      <p id="d1e2685">Over the South Atlantic, the Earth's Van Allen belt comes close to the
planet's surface. The resulting excess radiation, the so-called “South
Atlantic Anomaly”, causes erroneous speckling of the AVHRR visible channel
<xref ref-type="bibr" rid="bib1.bibx7" id="paren.39"/>. To remove this effect, each <inline-formula><mml:math id="M105" display="inline"><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mi mathvariant="normal">rs</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> product is subject
to a filter, which removes pixels if they have a value that is greater than
5 times the maximum value of any of its neighbours. Coherent signals,
associated with blooms, are unaffected. This process also removes single
isolated pixels that are surrounded entirely by bad data.</p>
      <p id="d1e2702">When the solar zenith angle approaches 90<inline-formula><mml:math id="M106" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>, the number of counts in
the visible channel drops substantially, degrading the quality of
<inline-formula><mml:math id="M107" display="inline"><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mi mathvariant="normal">rs</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> estimate produced. To combat this effect, pixels where the
number of counts in channel 1 is less than 10 are masked.</p>
      <p id="d1e2726">Once the final <inline-formula><mml:math id="M108" display="inline"><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mi mathvariant="normal">rs</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> is calculated, it is written to an
intermediate netCDF4 file during the “scene output” stage. The
pass-by-pass <inline-formula><mml:math id="M109" display="inline"><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mi mathvariant="normal">rs</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> product is not made available in this data set.</p>
</sec>
<sec id="Ch1.S3.SS1.SSS5">
  <title>Compositing</title>
      <?pagebreak page2048?><p id="d1e2757">For each day, the <inline-formula><mml:math id="M110" display="inline"><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mi mathvariant="normal">rs</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> products, calculated for each pixel on a
pass-by-pass basis, are averaged into a single daily, global product. A daily
product contains the average of between 2 and 10 passes, depending on the
number of AVHRR sensors in operation. Values recorded as missing or filled
values in the individual netCDF4 products are masked, and are therefore not
included in the averaging process. In parallel, each pass is contributed to
the <italic>total aggregator</italic> stage, which calculates climatological monthly
mean <inline-formula><mml:math id="M111" display="inline"><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mi mathvariant="normal">rs</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> values for each month, along with standard deviations
and the number of observations available. Analogous statistics are also
calculated for the total record. The total aggregator stage can only be
completed once all processed passes are available. Filtering for blooms
cannot begin until the aggregator has finished constructing the climatology.
The final unmasked, unfiltered <inline-formula><mml:math id="M112" display="inline"><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mi mathvariant="normal">rs</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> product is written into a
daily composite netCDF4 file as <italic>remote_sensing_reflectance</italic>, along
with the original coordinate variables, as derived from the Px5.3 grid.
<?xmltex \hack{\newpage}?></p>
</sec>
</sec>
<sec id="Ch1.S3.SS2">
  <title>Filtering, masking and identifying blooms</title>
      <p id="d1e2807">In previous ocean-colour-based analyses, coccolithophorid bloom maps are
produced as the binary classified output of a supervised multi-spectral
algorithm (e.g. <xref ref-type="bibr" rid="bib1.bibx17 bib1.bibx4" id="altparen.40"/>). In this work, the availability of
only one visible channel necessitates an alternative method, and the bloom
map is instead produced through temporal filtering of the <inline-formula><mml:math id="M113" display="inline"><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mi mathvariant="normal">rs</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>
product, followed by selective masking to subsequently remove false
positives.</p>
      <p id="d1e2824">Temporal filtering of the <inline-formula><mml:math id="M114" display="inline"><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mi mathvariant="normal">rs</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> product is performed through a
comparison of each daily composite to the relevant monthly mean
climatological <inline-formula><mml:math id="M115" display="inline"><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mi mathvariant="normal">rs</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> field (produced by the total aggregator
stage). <inline-formula><mml:math id="M116" display="inline"><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mi mathvariant="normal">rs</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> signals are only classified as blooms where the
per-pixel <inline-formula><mml:math id="M117" display="inline"><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mi mathvariant="normal">rs</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> value is greater than 2 monthly standard deviations
above the corresponding monthly mean value. The standard deviation in this
case is calculated from the monthly mean products across the entire archive.
Pixels that do not match this criterion
are assumed to contribute to the background, rather than bloom signal, and
are therefore set to zero. The filtered bloom product, written into the daily
netCDF4 file as <italic>filtered_remote_sensing_product</italic>, is then subject
to further quality controls in the <italic>masking</italic> stage, as described
below.</p>
      <p id="d1e2878">High <inline-formula><mml:math id="M118" display="inline"><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mi mathvariant="normal">rs</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> values, while potentially indicative of coccolithophore
blooms, can also occur in regions that are subject to high concentrations of
suspended sediment (e.g. estuaries), or where shallow bathymetry and clear
water coincide (e.g. shelf regions in oligotrophic areas). To remove these,
and other false positives, the final bloom product is derived from the
filtered bloom product by subjecting the latter to a number of screening
processes, as detailed below.</p>
      <p id="d1e2892">Firstly, to remove the effects of land contamination, the bloom map is set to
zero in all points within three pixels of the land mask. Secondly, following
<xref ref-type="bibr" rid="bib1.bibx17" id="text.41"/>, the bloom map is set to zero in areas between 47<inline-formula><mml:math id="M119" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> N
and 47<inline-formula><mml:math id="M120" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> S where the bathymetry is shallower than 100 m. This
removes false positives associated with the sea floor, an effect that is most
noticeable in the Caribbean and Arafura seas. Thirdly, whilst flagged sea ice
has been explicitly removed from the Px5.3 data (see
Sect. <xref ref-type="sec" rid="Ch1.S3.SS1.SSS1"/>), this does not comprehensively remove ice
effects. As a result of missed flagging, and of glacial <xref ref-type="bibr" rid="bib1.bibx3" id="paren.42"/> and
river run-off, sporadic high <inline-formula><mml:math id="M121" display="inline"><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mi mathvariant="normal">rs</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> values that are not indicative
of blooms still occur at high latitudes. To correct for this, bloom map
pixels are set to zero where <inline-formula><mml:math id="M122" display="inline"><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mi mathvariant="normal">rs</mml:mi></mml:msub><mml:mo>≥</mml:mo><mml:mn mathvariant="normal">0.05</mml:mn></mml:mrow></mml:math></inline-formula> (a value far above that
which we would expect in water types associated with coccolithophorid
blooms). Furthermore, the <inline-formula><mml:math id="M123" display="inline"><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mi mathvariant="normal">rs</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> product is screened using sea
surface temperature (SST) data obtained from contemporaneous ERA-Interim
fields, and <inline-formula><mml:math id="M124" display="inline"><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mi mathvariant="normal">rs</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> is set to zero in pixels where SST <inline-formula><mml:math id="M125" display="inline"><mml:mrow><mml:mo>&lt;</mml:mo><mml:mn mathvariant="normal">0</mml:mn></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M126" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>C in the Northern Hemisphere, a value at which the
coccolithophorid growth rate drops to near zero, even for cold-water strains
such as <italic>E. huxleyi</italic> <xref ref-type="bibr" rid="bib1.bibx5" id="paren.43"/>. Finally, bloom map pixels are set
to zero where the total aggregated mean value <inline-formula><mml:math id="M127" display="inline"><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mi mathvariant="normal">rs</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> is greater than
0.0005, removing the effects of consistent river outflows (e.g. the Amazon
and around the Yellow Sea).</p>
      <p id="d1e3008">The final product suite is annotated with relevant metadata to ensure CF1.8
compliance, completing the processing. The contents of the data file are
described fully in the following section.</p>
</sec>
</sec>
<sec id="Ch1.S4">
  <title>Data provenance and structure</title>
      <p id="d1e3019">The complete finalised data set consists of 13 932 daily files, beginning
1 January 1979 and ending 31 December 2017. Table <xref ref-type="table" rid="Ch1.T1"/> describes
periods where data are missing, due either to a lack of available AVHRR data
in the Px5.3 archive or to a lack of viable data for <inline-formula><mml:math id="M128" display="inline"><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mi mathvariant="normal">rs</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> processing.
Completely empty scenes are not included in the archive.</p>

<?xmltex \floatpos{t}?><table-wrap id="Ch1.T1" specific-use="star"><caption><p id="d1e3038">Inventory of missing <inline-formula><mml:math id="M129" display="inline"><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mi mathvariant="normal">rs</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> products in the processed
archive due to missing or unviable AVHRR data.</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="justify" colwidth="369.885827pt"/>
     <oasis:thead>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1">Year</oasis:entry>
         <oasis:entry colname="col2">Missing days (dd/mm)</oasis:entry>
       </oasis:row>
     </oasis:thead>
     <oasis:tbody>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1">1979</oasis:entry>
         <oasis:entry colname="col2">21/02 to 25/02, 03/04, 18/05, 14/07, 16/07, 28/07, <?xmltex \hack{\hfill\break}?>01/10 to 07/10, 02/11 to 07/11, 10/11, 15/11, 18/11, 30/11, 12/12</oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1">1980</oasis:entry>
         <oasis:entry colname="col2">20/01 to 30/06, 03/07, 05/07, 06/07, 09/07, 11/07 to 19/07, 07/08, 11/08, 12/08, 13/08, 14/08, <?xmltex \hack{\hfill\break}?>01/09, 07/09, 09/09, 12/09, 04/10, 22/10, 23/10, 07/12, 12/12 to 18/12, 25/12, 27/12, 29/12, 30/12</oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1">1981</oasis:entry>
         <oasis:entry colname="col2">08/01, 21/01, 25/03, 03/04, 09/05 to 11/05, <?xmltex \hack{\hfill\break}?>16/06, 25/06, 27/06, 03/07, 01/08 to 04/08, 14/08, 15/08, 17/08, 20/08 to 23/08</oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1">1982</oasis:entry>
         <oasis:entry colname="col2">24/04, 28/04, 03/05, 04/05, 09/05, 28/05 to 31/05, 01/06, 03/06, 25/09, 16/09, 29/09</oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1">1983</oasis:entry>
         <oasis:entry colname="col2">06/08, 24/08</oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1">1984</oasis:entry>
         <oasis:entry colname="col2">14/01, 15/01, 27/01, 20/02 to 22/02, 23/03, 24/03, 10/04, 16/04, 17/06, 29/07, 06/12, 07/12</oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1">1985</oasis:entry>
         <oasis:entry colname="col2">02/02 to 24/02, 11/03</oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1">1986</oasis:entry>
         <oasis:entry colname="col2">14/03, 15/03</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">1990</oasis:entry>
         <oasis:entry colname="col2">06/02</oasis:entry>
       </oasis:row>
     </oasis:tbody>
   </oasis:tgroup></oasis:table></table-wrap>

      <p id="d1e3164">The products are provided at 0.1<inline-formula><mml:math id="M130" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> resolution (consistent with the
original Px5.3 grid). Each data file contains the variables listed in
Table <xref ref-type="table" rid="Ch1.T2"/>.</p>

<?xmltex \floatpos{t}?><table-wrap id="Ch1.T2" specific-use="star"><caption><p id="d1e3182">Fields present in the available data.</p></caption><oasis:table frame="topbot"><oasis:tgroup cols="4">
     <oasis:colspec colnum="1" colname="col1" align="center"/>
     <oasis:colspec colnum="2" colname="col2" align="center"/>
     <oasis:colspec colnum="3" colname="col3" align="center"/>
     <oasis:colspec colnum="4" colname="col4" align="center"/>
     <oasis:thead>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1">Variable name</oasis:entry>
         <oasis:entry colname="col2">Quantity</oasis:entry>
         <oasis:entry colname="col3">Units</oasis:entry>
         <oasis:entry colname="col4">Dimensions</oasis:entry>
       </oasis:row>
     </oasis:thead>
     <oasis:tbody>
       <oasis:row>
         <oasis:entry colname="col1">time</oasis:entry>
         <oasis:entry colname="col2">time</oasis:entry>
         <oasis:entry colname="col3">seconds since 1970-01-01 00:00:00</oasis:entry>
         <oasis:entry colname="col4">time[1]</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">latitude</oasis:entry>
         <oasis:entry colname="col2">latitude</oasis:entry>
         <oasis:entry colname="col3"><inline-formula><mml:math id="M131" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> North (<inline-formula><mml:math id="M132" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">89.948</mml:mn></mml:mrow></mml:math></inline-formula> to 89.948)</oasis:entry>
         <oasis:entry colname="col4">latitude[1800]</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">longitude</oasis:entry>
         <oasis:entry colname="col2">longitude</oasis:entry>
         <oasis:entry colname="col3"><inline-formula><mml:math id="M133" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> East (<inline-formula><mml:math id="M134" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">179.945</mml:mn></mml:mrow></mml:math></inline-formula> to 179.945)</oasis:entry>
         <oasis:entry colname="col4">longitude[3600]</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">remote_sensing_reflectance</oasis:entry>
         <oasis:entry colname="col2"><inline-formula><mml:math id="M135" display="inline"><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mi mathvariant="normal">rs</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col3">sr<inline-formula><mml:math id="M136" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col4">time <inline-formula><mml:math id="M137" display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula> latitude <inline-formula><mml:math id="M138" display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula> longitude</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">filtered_remote_sensing_reflectance</oasis:entry>
         <oasis:entry colname="col2">filtered <inline-formula><mml:math id="M139" display="inline"><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mi mathvariant="normal">rs</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col3"/>
         <oasis:entry colname="col4"/>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2">bloom product</oasis:entry>
         <oasis:entry colname="col3">sr<inline-formula><mml:math id="M140" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col4">time <inline-formula><mml:math id="M141" display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula> latitude <inline-formula><mml:math id="M142" display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula> longitude</oasis:entry>
       </oasis:row>
     </oasis:tbody>
   </oasis:tgroup></oasis:table></table-wrap>

      <p id="d1e3413">Responsibility for maintaining the data set lies with Plymouth Marine
Laboratory, the provenance authority for the final output
(Fig. <xref ref-type="fig" rid="Ch1.F2"/>). The data set will be updated periodically, but no
specific update schedule is set. The initial release version is v1.0. Minor
version updates to bring the archive up to date will increment the decimal
value. Major updates in the case of changes to processing will increment the
integer value.</p>
      <p id="d1e3418">Due to the size of the entire daily-resolution record (<inline-formula><mml:math id="M143" display="inline"><mml:mrow><mml:mo>&gt;</mml:mo><mml:mn mathvariant="normal">60</mml:mn></mml:mrow></mml:math></inline-formula> Gb in total),
the data are archived on a 1-monthly basis, with monthly mean and
maximum fields available as separate files. The data set is stored in the
PANGAEA archive and has the following digital object identifier:
<ext-link xlink:href="https://doi.org/10.1594/PANGAEA.892175" ext-link-type="DOI">10.1594/PANGAEA.892175</ext-link>.</p>
</sec>
<sec id="Ch1.S5">
  <title>Bloom product validity</title>
<sec id="Ch1.S5.SS1">
  <title>Regional comparisons</title>
      <p id="d1e3445">Figure <xref ref-type="fig" rid="Ch1.F3"/> shows a comparison between four
coccolithophorid blooms detected by ocean colour sensors and the
corresponding blooms in the <italic>filtered_remote_sensing_reflectance</italic>
product. In all four cases where bright blooms are detected in the ocean
colour sensor observations (Fig. 3a SeaWiFS; Fig. 3c, MERIS; Fig. 3e, g,
MODIS) there are spatially corresponding bright patches in the AVHRR imagery.
In the MERIS and MODIS cases the AVHRR imagery is from the same day (i.e. on
a single overpass basis). In the SeaWiFS case, a 3-day AVHRR composite mean
is used, due to differences in cloud cover at the various acquisition times,
lowering the intensity of the visible bloom but preserving the spatial
coverage of the scene.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F3" specific-use="star"><caption><p id="d1e3455">Examples of ocean-colour-derived red–green–blue (RGB) images of
coccolithophore blooms matched to their filtered bloom product counterparts.
Panels are as follows. <bold>(a, c, e, g)</bold> Level 2 RGB images for the North
Sea and English Channel (SeaWIFS; 30 July 1999), North Atlantic and Irish Sea
(MERIS; 23 May 2010), Barents Sea (MODIS; 17 August 2011) and Bering Sea
(MODIS; 4 September 2014). <bold>(b, d, f, h)</bold> Matching, contemporaneous
filtered bloom product composite for each location and date. Dark grey
indicates land, and light grey indicates cloud, throughout. For bloom
products, dark blue indicates that no bloom is present; lighter cyan colours
indicate that a bloom is present.</p></caption>
          <?xmltex \igopts{width=398.338583pt}?><graphic xlink:href="https://essd.copernicus.org/articles/10/2043/2018/essd-10-2043-2018-f03.png"/>

        </fig>

      <?pagebreak page2049?><p id="d1e3470">There is also evidence from in situ data in the English Channel case
(Fig. <xref ref-type="fig" rid="Ch1.F3"/>a and b) that this was indeed a bloom of
<italic>Emiliania huxleyi</italic> from cell counts and in-water radiometry
<xref ref-type="bibr" rid="bib1.bibx34" id="paren.44"/>. The northern North Sea feature centred on 56<inline-formula><mml:math id="M144" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> N,
1.5<inline-formula><mml:math id="M145" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> E in Fig. <xref ref-type="fig" rid="Ch1.F3"/>a is possibly the remnants of
a bloom which was the subject of an intensive field campaign during June 1999
<xref ref-type="bibr" rid="bib1.bibx6" id="paren.45"/>. Similarly blooms have been documented in the literature in the
Barents Sea (Fig. <xref ref-type="fig" rid="Ch1.F3"/>e and f) which are comparable in
timing and extent with some limited in situ samples <xref ref-type="bibr" rid="bib1.bibx33" id="paren.46"/>;
<xref ref-type="bibr" rid="bib1.bibx24" id="text.47"/> report on blooms in the Bering Sea of similar timing and extent
to those shown in Fig. <xref ref-type="fig" rid="Ch1.F3"/>g and h.</p>
      <p id="d1e3515">It is notable that the cloud (and ice) masking algorithms for the ocean
colour and AVHRR sensors are in close agreement for the individual scenes
shown in Fig. <xref ref-type="fig" rid="Ch1.F3"/>c and d, e and f, and g and h. The
discrepancy in the cloud flagging for the SeaWiFS case occurs as a result of
the 3-day compositing.</p>
</sec>
<sec id="Ch1.S5.SS2">
  <title>Global signals</title>
      <p id="d1e3526">Figure <xref ref-type="fig" rid="Ch1.F4"/> shows the global spatial coverage of the data set,
presented as decadal means of the filtered <inline-formula><mml:math id="M146" display="inline"><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mi mathvariant="normal">rs</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> bloom product for
four decadal periods. Comparing Fig. <xref ref-type="fig" rid="Ch1.F4"/>a with the CZCS era
(1978–1986) coccolithophorid bloom map produced by <xref ref-type="bibr" rid="bib1.bibx4" id="text.48"/> suggests
that the bloom signals in the North Atlantic, North Sea and Norwegian Sea and
on the Argentinian coast are well captured. The presence of blooms in the
Black Sea and sporadically throughout the Mediterranean is also consistent
between the two. However, due to the coastal masking, the high signals around
Newfoundland are not captured here. In addition, no signals are detected in
the Arafura Sea or within the Indonesian archipelago, as these areas have
been specifically masked due to shallow bathymetry. The signals along the
coast of Greenland and in the Southern Ocean are stronger than anticipated,
likely due to some remaining influence of ice and glacial river outflow.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F4" specific-use="star"><caption><p id="d1e3549">Mean values for the filtered remote-sensing reflectance
(<inline-formula><mml:math id="M147" display="inline"><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mi mathvariant="normal">rs</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>) bloom product by decade for the <bold>(a)</bold> 1980 to 1989,
<bold>(b)</bold> 1990–1999, <bold>(c)</bold> 2000–2009 and <bold>(d)</bold>
abbreviated 2010–2017 period.</p></caption>
          <?xmltex \igopts{width=483.69685pt}?><graphic xlink:href="https://essd.copernicus.org/articles/10/2043/2018/essd-10-2043-2018-f04.png"/>

        </fig>

      <p id="d1e3581">Mean values for the 1990–1999 period suggest the presence of
coccolithophorid blooms in the North Atlantic, Norwegian Sea, Baltic Sea,
Bering Sea and Southern Ocean, which is consistent with
previous findings of <xref ref-type="bibr" rid="bib1.bibx17" id="text.49"/>. Similarly, the <inline-formula><mml:math id="M148" display="inline"><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mi mathvariant="normal">rs</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>-based
bloom product correctly attributes signals to the Benguela upwelling and in
the western North Pacific Ocean. While they do not cover identical periods to
the record shown here, increased <inline-formula><mml:math id="M149" display="inline"><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mi mathvariant="normal">rs</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> in the Black, Norwegian and
Baltic seas between the <xref ref-type="bibr" rid="bib1.bibx4" id="text.50"/> and <xref ref-type="bibr" rid="bib1.bibx17" id="text.51"/> studies is well
replicated. A reduction of <inline-formula><mml:math id="M150" display="inline"><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mi mathvariant="normal">rs</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> along the coast of Argentina also
appears to be appropriately captured <xref ref-type="bibr" rid="bib1.bibx4" id="paren.52"/>.</p>
      <?pagebreak page2050?><p id="d1e3630">The change in bloom patterns between the CZCS era (Fig. <xref ref-type="fig" rid="Ch1.F4"/>a)
and the SeaWiFS (Fig. <xref ref-type="fig" rid="Ch1.F4"/>b and c) mirrors the findings of <xref ref-type="bibr" rid="bib1.bibx39" id="text.53"/>,
with an intensification of bloom expression and increase in coverage in the
North Atlantic. Following this, despite a substantial decrease in
mid-latitude bloom expression in Fig. <xref ref-type="fig" rid="Ch1.F4"/>d, there is a marked
increase in the intensity of blooms in the Barents Sea, consistent with
<xref ref-type="bibr" rid="bib1.bibx28" id="text.54"/>.</p>
</sec>
</sec>
<sec id="Ch1.S6">
  <title>Limitations</title>
<sec id="Ch1.S6.SS1">
  <title>Radiometric sensitivity and grid resolution</title>
      <p id="d1e3657">The differences between the bloom extent and intensity observed by the ocean
colour and AVHRR sensors in Fig. <xref ref-type="fig" rid="Ch1.F3"/> can, in part, be
attributed to a combination of lower spatial resolution and radiometric
sensitivity of the AVHRR<?pagebreak page2051?> sensor. The typical spatial resolution of ocean
colour sensors is between 300 m and 1.1 km, whereas the Px5.3 product is
0.1<inline-formula><mml:math id="M151" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>. This equates to 2 orders of magnitude of coarsening and
will have a particularly pronounced effect where strong spatial radiometric
heterogeneities exist within blooms (see e.g. <xref ref-type="bibr" rid="bib1.bibx34" id="altparen.55"/>), resulting in
lower overall bloom reflectances. This coupled with the lower radiometric
sensitivity of AVHRR (3 %) will exacerbate the overall “dimming” of the
bloom. It is unlikely that blooms of non-calcifying phytoplankton with low
backscattering will be detectable using this approach.</p>
</sec>
<sec id="Ch1.S6.SS2">
  <title>Limits of detection</title>
      <p id="d1e3680">Given the expected “bloom dimming” (as discussed in Sect. <xref ref-type="sec" rid="Ch1.S6.SS1"/>),
it is necessary to establish the concentration at which coccolithophorid
blooms can be detected using this approach. Comparing
Fig. <xref ref-type="fig" rid="Ch1.F3"/>a, c, e and g, we can see that only the densest
parts of the bloom are detected by AVHRR. This will be in the parts of the
bloom undergoing the closing or senescent stages where the reflectance signal
will be dominated by coccoliths rather than live coccolithophore cells.</p>
      <p id="d1e3687"><xref ref-type="bibr" rid="bib1.bibx16" id="text.56"/> in their detailed study of the biogeochemistry of
coccolithophore blooms in the North Atlantic calculated that the AVHRR
threshold of detectability for coccoliths is around
<inline-formula><mml:math id="M152" display="inline"><mml:mrow><mml:mn mathvariant="normal">2</mml:mn><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="normal">10</mml:mn><mml:mn mathvariant="normal">4</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula> liths mL<inline-formula><mml:math id="M153" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>. A similar type of calculation using the
equations found in <xref ref-type="bibr" rid="bib1.bibx11" id="text.57"/> and accounting for shifts in wavelength
(0.546 to 0.630 <inline-formula><mml:math id="M154" display="inline"><mml:mi mathvariant="normal">µ</mml:mi></mml:math></inline-formula>m) yields a threshold of approximately
10<inline-formula><mml:math id="M155" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">5</mml:mn></mml:msup></mml:math></inline-formula> liths mL<inline-formula><mml:math id="M156" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>. The bloom shown in Fig. <xref ref-type="fig" rid="Ch1.F3"/>a
is well described by <xref ref-type="bibr" rid="bib1.bibx11" id="text.58"/>. When comparing the in situ data from
<?xmltex \hack{\mbox\bgroup}?><xref ref-type="bibr" rid="bib1.bibx11" id="text.59"/><?xmltex \hack{\egroup}?> Figs. 1 and 3a with the bloom pattern here, it is
apparent that only the near-shore transect point is bright enough to be
detected by AVHRR. However, for the same bloom <xref ref-type="bibr" rid="bib1.bibx34" id="text.60"/> showed that the
number of free liths enumerated via microscopy using manual counting of
samples fixed in buffered formalin, as used in <xref ref-type="bibr" rid="bib1.bibx11" id="text.61"/>, yielded a
factor of 2 greater than that using flow cytometry. This they attributed to
the fixation process causing the coccolithophores to shed even more of their
liths and was proved by comparing fresh and preserved samples of cultured
<italic>E. huxleyi</italic> using flow cytometry. Additionally <xref ref-type="bibr" rid="bib1.bibx34" id="text.62"/> achieved
closer modelled optical closure when using the flow cytometric ra<?pagebreak page2052?>ther than
the manual counts. This would therefore reduce the threshold limit described
above to around <inline-formula><mml:math id="M157" display="inline"><mml:mrow><mml:mn mathvariant="normal">5</mml:mn><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="normal">10</mml:mn><mml:mn mathvariant="normal">4</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula> liths mL<inline-formula><mml:math id="M158" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>. As the Px5.3 data are
cross-calibrated across all sensors, we do not expect this sensitivity
threshold to be platform-specific.</p>
</sec>
<sec id="Ch1.S6.SS3">
  <title>Atmospheric correction</title>
      <p id="d1e3807">The availability of only a single visible channel greatly reduces the
ability of AVHRR to spectrally determine in-water constituents. Consequently,
coccolithophorid blooms are predominantly identified through the removal of
likely false positives (e.g. river plumes, coastal influences, bathymetry and
sea ice). Whilst coccolithophorid blooms are known to occur across the eastern
<xref ref-type="bibr" rid="bib1.bibx22" id="paren.63"/>, north-western <xref ref-type="bibr" rid="bib1.bibx30" id="paren.64"/> and western Mediterranean
<xref ref-type="bibr" rid="bib1.bibx18" id="paren.65"/>, as shown in the bloom map of <xref ref-type="bibr" rid="bib1.bibx17" id="text.66"/>, they do not do so
to the extent that they are expressed in the <inline-formula><mml:math id="M159" display="inline"><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mi mathvariant="normal">rs</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> product derived
here (Fig. <xref ref-type="fig" rid="Ch1.F4"/>b). We partially attribute the high
<inline-formula><mml:math id="M160" display="inline"><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mi mathvariant="normal">rs</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> values to the sporadic presence of Saharan dust. This
requires specific atmospheric correction methods <xref ref-type="bibr" rid="bib1.bibx26" id="paren.67"/> that are not
implemented here and would require ancillary dust information that is of
limited availability on the timescale covered by this data set.</p>
</sec>
</sec>

      
      </body>
    <back><notes notes-type="codedataavailability">

      <p id="d1e3855">The data set is registered and archived with a digital
object identifier at PANGAEA. It is made available
for use with the following reference: <ext-link xlink:href="https://doi.org/10.1594/PANGAEA.892175" ext-link-type="DOI">10.1594/PANGAEA.892175</ext-link> <xref ref-type="bibr" rid="bib1.bibx21" id="paren.68"/>.
The code used to generate these data is available via Gitlab on request to the corresponding author.</p>
  </notes>
<sec id="Ch1.S7" sec-type="conclusions">
  <title>Conclusions</title>
      <p id="d1e3870">We have derived a consistently calibrated 40-year-long data set of
visible-channel remote-sensing reflectance from the Advanced Very High Resolution
Radiometer (AVHRR) sensor global time series. We have shown how this global
data set was derived from top-of-atmosphere (TOA) visible-channel reflectances
including how the data were quality-controlled, atmospherically corrected and
aggregated over daily, monthly and decadal time periods. We have shown the
application of this new data set to the detection of marine phytoplankton and
compared these to existing regional and global imagery and estimates from
different satellite sensors and in situ data. We have effectively extended
the time period over which the detection of coccolithophorids is possible on
the global scale by an additional 20 years, thereby making possible further
analyses of climatic shifts in species distribution.</p><?xmltex \hack{\newpage}?>
</sec><notes notes-type="authorcontribution">

      <p id="d1e3877">BL and TS contributed equally to the writing of the manuscript and data quality control.
BL is responsible for the data set processing architecture and comparative analysis with ocean colour. TS was the originator of the
concept.</p>
  </notes><notes notes-type="competinginterests">

      <p id="d1e3883">The authors declare that they have no competing
interests.</p>
  </notes><ack><title>Acknowledgements</title><p id="d1e3890">This work was partially funded by the 2017/2018 Plymouth Marine Laboratory
Research Programme and the UK Natural Environment Research Council through
its National Capability Long-term Single Centre Science Programme, Climate
Linked Atlantic Sector Science, grant number NE/R015953/1, and is a
contribution to Theme 1.3 – Biological Dynamics. The authors would like to
thank Hayley Evers-King and Steve Groom for their perspectives on the work,
and Griet Neukermans and an anonymous reviewer for their detailed and
constructive criticism of the manuscript, all of which has contributed
greatly to its improvement.<?xmltex \hack{\newline}?><?xmltex \hack{\newline}?>Edited by: Francois
Schmitt <?xmltex \hack{\newline}?>Reviewed by: Griet Neukermans and one anonymous
referee</p></ack><ref-list>
    <title>References</title>

      <ref id="bib1.bibx1"><label>Ackleson and Holligan(1989)</label><mixed-citation>
Ackleson, S. G. and Holligan, P. M.: AVHRR observations of a Gulf of Maine
coccolithophore bloom, Photogramm. Eng. Rem. S.,
55, 473–474, 1989.</mixed-citation></ref>
      <ref id="bib1.bibx2"><label>Balch et al.(2005)Balch, Gordon, Bowler, Drapeau, and
Booth</label><mixed-citation>Balch, W. M., Gordon, H. R., Bowler, B. C., Drapeau, D. T., and Booth, E. S.:
Calcium carbonate measurements in the surface global ocean based on
Moderate-Resolution Imaging Spectroradiometer data, J. Geophys.
Res.-Oceans, 110,  C07001, <ext-link xlink:href="https://doi.org/10.1029/2004JC002560" ext-link-type="DOI">10.1029/2004JC002560</ext-link>, 2005.</mixed-citation></ref>
      <ref id="bib1.bibx3"><label>Broerse et al.(2003)Broerse, Tyrrell, Young, Poulton, Merico, Balch,
and Miller</label><mixed-citation>
Broerse, A. T. C., Tyrrell, T., Young, J. R., Poulton, A. J., Merico, A.,
Balch, W. M., and Miller, P. I.: The cause of bright waters in the Bering
Sea in winter, Cont. Shelf Res., 23, 1579–1596, 2003.</mixed-citation></ref>
      <ref id="bib1.bibx4"><label>Brown and Yoder(1994)</label><mixed-citation>
Brown, C. W. and Yoder, J. A.: Coccolithophorid blooms in the global ocean,
J. Geophys. Res., 99, 7467–7482, 1994.</mixed-citation></ref>
      <ref id="bib1.bibx5"><label>Buitenhuis et al.(2008)Buitenhuis, Pangerc, and Franklin</label><mixed-citation>
Buitenhuis, E. T., Pangerc, T., and Franklin, D. J.: Growth rates of six
coccolithophorid strains as a function of temperature, Limnol. Oceanogr.,
53, 1181–1185, 2008.</mixed-citation></ref>
      <ref id="bib1.bibx6"><label>Burkill et al.(2002)Burkill, Archer, Robinson, Nightingale, Groom,
Tarran, and Zubkov</label><mixed-citation>Burkill, P. H., Archer, S. D., Robinson, C., Nightingale, P. D., Groom,
S. B., Tarran, G. A., and Zubkov, M. V.: Dimethyl sulphide biogeochemistry
within a
coccolithophore bloom (DISCO): an overview, Deep-Sea Res. Pt. II, 49, 2863–2885,
<ext-link xlink:href="https://doi.org/10.1016/S0967-0645(02)00061-9" ext-link-type="DOI">10.1016/S0967-0645(02)00061-9</ext-link>, 2002.</mixed-citation></ref>
      <ref id="bib1.bibx7"><label>Casadio and Arino(2011)</label><mixed-citation>
Casadio, S. and Arino, O.: Monitoring the South Atlantic Anomaly using ATSR
instrument series, Adv. Space Res., 48, 1056–1066, 2011.</mixed-citation></ref>
      <ref id="bib1.bibx8"><label>Elterman(1970)</label><mixed-citation>
Elterman, L.: Vertical-attenuation model with eight surface meteorological
ranges 2 to 13 kilometers (No. AFCRL-70-0200), Air Force Cambridge research
Labs Hanscom Afb MA., 1970.</mixed-citation></ref>
      <ref id="bib1.bibx9"><label>Franz et al.(2007)Franz, Bailey, Werdell, and McClain</label><mixed-citation>
Franz, B., Bailey, S., Werdell, P., and McClain, C.: Sensor-independent
approach to the vicarious calibration of satellite ocean color radiometry,
Appl. Optics, 46, 5068–5082, 2007.</mixed-citation></ref>
      <?pagebreak page2053?><ref id="bib1.bibx10"><label>Garcia-Soto et al.(1995)Garcia-Soto, Fernandez, Pingree, and
Harbour</label><mixed-citation>
Garcia-Soto, G., Fernandez, E., Pingree, R. D., and Harbour, D. S.: Evolution
and structure of a shelf coccolithophore bloom in the Western English
Channel, J. Plankton Res., 17, 2011–2036, 1995.</mixed-citation></ref>
      <ref id="bib1.bibx11"><label>Gordon et al.(2001)Gordon, Boynton, Balch, Groom, Harbour, and
Smyth</label><mixed-citation>
Gordon, H. R., Boynton, G. C., Balch, W. M., Groom, S. B., Harbour, D. S.,
and Smyth, T. J.: Retrieval of coccolithophore calcite concentration from
SeaWiFS imagery, Geophys. Res. Lett., 28, 1587–1590, 2001.</mixed-citation></ref>
      <ref id="bib1.bibx12"><label>Groom and Holligan(1987)</label><mixed-citation>
Groom, S. B. and Holligan, P. M.: Remote Sensing of coccolithophore blooms,
Adv. Space Res., 7, 273–278, 1987.</mixed-citation></ref>
      <ref id="bib1.bibx13"><label>Heidinger et al.(2002)Heidinger, Anne, and Dean</label><mixed-citation>
Heidinger, A., Anne, V., and Dean, C.: Using MODIS to estimate cloud
contamination of the AVHRR data record, J. Atmos. Ocean.
Tech., 19, 586–601, 2002.</mixed-citation></ref>
      <ref id="bib1.bibx14"><label>Heidinger et al.(2014)Heidinger, Foster, Walther, and Zhao</label><mixed-citation>Heidinger, A. K., Foster, M. J., Walther, A., and Zhao, X. T.: The
Pathfinder
atmospheres-extended AVHRR climate dataset, B. Am.
Meteorol. Soc., 95, 909–922, <ext-link xlink:href="https://doi.org/10.1175/BAMS-D-12-00246.1" ext-link-type="DOI">10.1175/BAMS-D-12-00246.1</ext-link>,
2014.</mixed-citation></ref>
      <ref id="bib1.bibx15"><label>Henson et al.(2010)Henson, Sarmiento, Dunne, Bopp, Lima, Doney,
John, and Beaulieu</label><mixed-citation>Henson, S. A., Sarmiento, J. L., Dunne, J. P., Bopp, L., Lima, I., Doney, S.
C., John, J., and Beaulieu, C.: Detection of anthropogenic climate change in
satellite records of ocean chlorophyll and productivity, Biogeosciences, 7,
621–640, <ext-link xlink:href="https://doi.org/10.5194/bg-7-621-2010" ext-link-type="DOI">10.5194/bg-7-621-2010</ext-link>, 2010.</mixed-citation></ref>
      <ref id="bib1.bibx16"><label>Holligan et al.(1993)Holligan, Fernandez, Aiken, Balch, Boyd,
Burkill, Finch, Groom, Malin, Muller, Purdie, Robinson, Trees, Turner, and
Vanderwal</label><mixed-citation>Holligan, P. M., Fernandez, E., Aiken, J., Balch, W. M., Boyd, P., Burkill,
P. H., Finch, M., Groom, S. B., Malin, G., Muller, K., Purdie, D. A.,
Robinson, C., Trees, C. C., Turner, S. M., and Vanderwal, P.: A
biogeochemical study of the coccolithophore <italic>Emiliania huxleyi</italic> in the
North Atlantic, Global Biogeochem. Cy., 7, 879–900, 1993.</mixed-citation></ref>
      <ref id="bib1.bibx17"><label>Iglesias-Rodriguez et al.(2002)Iglesias-Rodriguez, Brown, Doney,
Kleypas, Kolber, Kolber, Hayes, and Falkowski</label><mixed-citation>Iglesias-Rodriguez, M. D., Brown, C. W., Doney, S. C., Kleypas, J., Kolber,
D., Kolber, Z., Hayes, P. K., and Falkowski, P. G.: Representing key
phytoplankton functional groups in ocean carbon cycle models:
Coccolithophorids, Global Biogeochem. Cy., 16, 1100,
<ext-link xlink:href="https://doi.org/10.1029/2001GB001454" ext-link-type="DOI">10.1029/2001GB001454</ext-link>,
2002.</mixed-citation></ref>
      <ref id="bib1.bibx18"><label>Ignatiades et al.(2009)Ignatiades, Gotsis-Skretas, Pagou, and
Krasakopoulou</label><mixed-citation>Ignatiades, L., Gotsis-Skretas, O., Pagou, K., and Krasakopoulou, E.:
Diversification of phytoplankton community structure and related parameters
along a large-scale longitudinal east-west transect of the Mediterranean
Sea, J. Plankton Res., 31, 411–428, <ext-link xlink:href="https://doi.org/10.5194/os-11-13-2015" ext-link-type="DOI">10.5194/os-11-13-2015</ext-link>, 2009.</mixed-citation></ref>
      <ref id="bib1.bibx19"><label>Koepke(1984)</label><mixed-citation>
Koepke, P.: Effective reflectance of oceanic whitecaps, Appl. Optics, 23,
1816–1824, 1984.</mixed-citation></ref>
      <ref id="bib1.bibx20"><label>Liang(2005)</label><mixed-citation>Liang, S.: Quantitative remote sensing of land surfaces, John Wiley &amp;
Sons, Inc., <ext-link xlink:href="https://doi.org/10.1002/047172372X" ext-link-type="DOI">10.1002/047172372X</ext-link>, 2005.</mixed-citation></ref>
      <ref id="bib1.bibx21"><label>Loveday and Smyth(2018)</label><mixed-citation>Loveday, B. and Smyth, T. J.: 40-year AVHRR record of visible channel Rrs and
coccolithophorid blooms, links to netCDF files, Plymouth Marine Laboratory,
PANGAEA, <ext-link xlink:href="https://doi.org/10.1594/PANGAEA.892175" ext-link-type="DOI">10.1594/PANGAEA.892175</ext-link>, 2018.</mixed-citation></ref>
      <ref id="bib1.bibx22"><label>Malinverno et al.(2003)Malinverno, Ziveri, and Corselli</label><mixed-citation>Malinverno, E., Ziveri, P., and Corselli, C.: Coccolithophorid distribution
in the Ionian Sea and its relationship to eastern Mediterranean circulation
during late fall to early winter 1997, J. Geophys. Res., 108, 8115,
<ext-link xlink:href="https://doi.org/10.1029/2002JC001346" ext-link-type="DOI">10.1029/2002JC001346</ext-link>, 2003.</mixed-citation></ref>
      <ref id="bib1.bibx23"><label>Matrai and Keller(1993)</label><mixed-citation>Matrai, P. and Keller, M.: Dimethylsulfide in a large-scale coccolithophore
bloom in the Gulf of Maine, Cont. Shelf Res., 13, 831–843,
<ext-link xlink:href="https://doi.org/10.1016/0278-4343(93)90012-M" ext-link-type="DOI">10.1016/0278-4343(93)90012-M</ext-link>, 1993.</mixed-citation></ref>
      <ref id="bib1.bibx24"><label>Merico et al.(2003)Merico, Tyrrell, Brown, Groom, and Miller</label><mixed-citation>Merico, A., Tyrrell, T., Brown, C. W., Groom, S. B., and Miller, P. I.:
Analysis of satellite imagery for <italic>Emiliana huxleyi</italic> blooms in the
Bering Sea before 1997, Geophys. Res. Lett., 30,  1337,
<ext-link xlink:href="https://doi.org/10.1029/2002GL016648" ext-link-type="DOI">10.1029/2002GL016648</ext-link>,
2003.</mixed-citation></ref>
      <ref id="bib1.bibx25"><label>Morozov et al.(2013)Morozov, Pozdnyakov, Smyth, Sychev, and
Grassl</label><mixed-citation>Morozov, E., Pozdnyakov, D., Smyth, T., Sychev, V., and Grassl, H.:
Space-borne study of seasonal, multi-year, and decadal phytoplankton
dynamics in the Bay of Biscay, Int. J. Remote Sens.,
34, 1297–1331, <ext-link xlink:href="https://doi.org/10.1080/01431161.2012.718462" ext-link-type="DOI">10.1080/01431161.2012.718462</ext-link>, 2013.</mixed-citation></ref>
      <ref id="bib1.bibx26"><label>Moulin et al.(2001)Moulin, Gordon, Chomko, Banzon, and Evans</label><mixed-citation>
Moulin, C., Gordon, H. R., Chomko, R. M., Banzon, V. F., and Evans, R. H.:
Atmospheric correction of ocean color imagery through thick layers of
Saharan dust, Geophys. Res. Lett., 28, 5–8, 2001.</mixed-citation></ref>
      <ref id="bib1.bibx27"><label>Neckel and Labs(1984)</label><mixed-citation>
Neckel, H. and Labs, D.: The solar radiation between 3300 and 12500 Å,
Sol.
Phys., 90, 205–258, 1984.</mixed-citation></ref>
      <ref id="bib1.bibx28"><label>Neukermans et al.(2018)Neukermans, Oziel, and Babin</label><mixed-citation>
Neukermans, G., Oziel, L., and Babin, M.: Increased intrusion of warming
Atlantic water leads to rapid expansion of temperate phytoplankton in the
Arctic, Glob. Change Biol., 24, 2545–2553, 2018.</mixed-citation></ref>
      <ref id="bib1.bibx29"><label>O'Reilly et al.(1998)O'Reilly, Maritorena, Mitchell, Siegel, Carder,
Garver, Kahru, and McClain</label><mixed-citation>
O'Reilly, J. E., Maritorena, S., Mitchell, B. G., Siegel, D. A., Carder,
K. L.,
Garver, S. A., Kahru, M., and McClain, C.: Ocean color chlorophyll algorithms
for SeaWiFS, J. Geophys. Res., 103, 24937–24953, 1998.</mixed-citation></ref>
      <ref id="bib1.bibx30"><label>Oviedo et al.(2015)Oviedo, Ziveri, Alvarez, and Tanhua</label><mixed-citation>Oviedo, A., Ziveri, P., Álvarez, M., and Tanhua, T.: Is coccolithophore
distribution in the Mediterranean Sea related to seawater carbonate
chemistry?, Ocean Sci., 11, 13–32, <ext-link xlink:href="https://doi.org/10.5194/os-11-13-2015" ext-link-type="DOI">10.5194/os-11-13-2015</ext-link>,
2015.</mixed-citation></ref>
      <ref id="bib1.bibx31"><label>Rao and Chen(1995)</label><mixed-citation>
Rao, C. R. N. and Chen, J. H.: Intersatellite calibration linkages for the
visible and near-infrared channels of the advanced very high-resolution
radiometer on the NOAA-7, NOAA-9, and NOAA-11 spacecraft, Int. J. Remote
Sens., 16, 1931–1942, 1995.</mixed-citation></ref>
      <ref id="bib1.bibx32"><label>Rao and Chen(1996)</label><mixed-citation>
Rao, C. R. N. and Chen, J. H.: Post-launch calibration of the visible and
near-infrared channels of the advanced very high resolution radiometer on the
NOAA-14 spacecraft, Int. J. Remote Sens., 17, 2743–2747, 1996.</mixed-citation></ref>
      <ref id="bib1.bibx33"><label>Smyth et al.(2004)Smyth, Tyrrell, and Tarrant</label><mixed-citation>Smyth, T., Tyrrell, T., and Tarrant, B.: Time series of coccolithophore
activity in the Barents Sea, from twenty years of satellite imagery,
Geophys. Res. Lett., 31,  L11302, <ext-link xlink:href="https://doi.org/10.1029/2004GL019735" ext-link-type="DOI">10.1029/2004GL019735</ext-link>, 2004.</mixed-citation></ref>
      <ref id="bib1.bibx34"><label>Smyth et al.(2002)Smyth, Moore, Groom, Land, and Tyrrell</label><mixed-citation>Smyth, T. J., Moore, G. F., Groom, S. B., Land, P. E., and Tyrrell, T.:
Optical
modeling and measurements of a coccolithophore bloom, Appl. Optics, 41,
7679–7688, <ext-link xlink:href="https://doi.org/10.1364/AO.41.007679" ext-link-type="DOI">10.1364/AO.41.007679</ext-link>, 2002.</mixed-citation></ref>
      <ref id="bib1.bibx35"><label>Smyth et al.(2006)Smyth, Moore, Hirata, and Aiken</label><mixed-citation>Smyth, T. J., Moore, G. F., Hirata, T., and Aiken, J.: Semianalytical model
for the derivation of ocean color inherent optical properties: description,
implementation, and performance assessment, Appl. Optics, 45,
8116–8131, <ext-link xlink:href="https://doi.org/10.1364/AO.45.008116" ext-link-type="DOI">10.1364/AO.45.008116</ext-link>, 2006.</mixed-citation></ref>
      <ref id="bib1.bibx36"><label>Stumpf and Pennock(1989)</label><mixed-citation>
Stumpf, R. P. and Pennock, J. R.: Calibration of a general optical equation
for
remote sensing of suspended sediments in a moderately turbid estuary, J.
Geophys. Res., 94, 14363–14371, 1989.</mixed-citation></ref>
      <ref id="bib1.bibx37"><label>Tanre et al.(1992)Tanre, Holben, and Kaufman</label><mixed-citation>Tanre, D., Holben, B. N., and Kaufman, Y. J.: Atmospheric correction against
algorithm for NOAA-AVHRR products: theory and application, IEEE T.
Geosci. Remote, 30, 231–248, <ext-link xlink:href="https://doi.org/10.1109/36.134074" ext-link-type="DOI">10.1109/36.134074</ext-link>,
1992.</mixed-citation></ref>
      <ref id="bib1.bibx38"><label>Uz et al.(2013)Uz, Brown, Heidinger, Smyth, and Murtugudde</label><mixed-citation>Uz, S., Brown, C., Heidinger, A., Smyth, T., and Murtugudde, R.: Monitoring
a
sentinel species from satellites: detecting emiliania huxleyi in 25 years of
AVHRR imagery, in: Satellite-based Applications on Climate Change, Springer,
Dordrecht, <ext-link xlink:href="https://doi.org/10.1007/978-94-007-5872-8" ext-link-type="DOI">10.1007/978-94-007-5872-8</ext-link>, 2013.</mixed-citation></ref>
      <ref id="bib1.bibx39"><label>Winter et al.(2013)Winter, Henderiks, Beaufort, Rickaby, and
Brown</label><mixed-citation>
Winter, A., Henderiks, J., Beaufort, L., Rickaby, R. E., and Brown, C. W.:
Poleward expansion of the coccolithophore Emiliania huxleyi, J.
Plankton Res., 36, 316–325, 2013.</mixed-citation></ref>
      <?pagebreak page2054?><ref id="bib1.bibx40"><label>Zhao et al.(2004)Zhao, Dubovik, Smirnov, Holben, Sapper, Pietras,
Voss, and Frouin</label><mixed-citation>Zhao, T., Dubovik, O., Smirnov, A., Holben, B., Sapper, J., Pietras, C.,
Voss,
K., and Frouin, R.: Regional evaluation of an advanced very high resolution
radiometer (AVHRR) two-channel aerosol retrieval algorithm, J. Geophys.
Res., 109,  D02204, <ext-link xlink:href="https://doi.org/10.1029/2003JD003817" ext-link-type="DOI">10.1029/2003JD003817</ext-link>, 2004.</mixed-citation></ref>

  </ref-list></back>
    <!--<article-title-html>A 40-year global data set of visible-channel remote-sensing reflectances and coccolithophore bloom occurrence derived from the Advanced Very High Resolution Radiometer catalogue</article-title-html>
<abstract-html><p>A consistently calibrated 40-year-long data set of visible-channel
remote-sensing reflectance has been derived from the Advanced Very High
Resolution Radiometer (AVHRR) sensor global time series. The data set uses as
its source the Pathfinder Atmospheres – Extended (PATMOS-x) v5.3 Climate
Data Record for top-of-atmosphere (TOA) visible-channel reflectances. This paper describes
the theoretical basis for the atmospheric correction procedure and its
subsequent implementation, including the necessary ancillary data files used
and quality flags applied, in order to determine remote-sensing reflectance.
The resulting data set is produced at daily, and archived at monthly,
resolution, on a 0.1° × 0.1° grid at
<a href="https://doi.org/10.1594/PANGAEA.892175" target="_blank">https://doi.org/10.1594/PANGAEA.892175</a>. The primary aim of deriving this data set is to
highlight regions of the global ocean affected by highly reflective blooms of
the coccolithophorid <i>Emiliania huxleyi</i> (where lith concentration  &gt; 2–5×10<sup>4</sup>&thinsp;mL<sup>−1</sup>) over the past 40 years.</p></abstract-html>
<ref-html id="bib1.bib1"><label>Ackleson and Holligan(1989)</label><mixed-citation>
Ackleson, S. G. and Holligan, P. M.: AVHRR observations of a Gulf of Maine
coccolithophore bloom, Photogramm. Eng. Rem. S.,
55, 473–474, 1989.
</mixed-citation></ref-html>
<ref-html id="bib1.bib2"><label>Balch et al.(2005)Balch, Gordon, Bowler, Drapeau, and
Booth</label><mixed-citation>
Balch, W. M., Gordon, H. R., Bowler, B. C., Drapeau, D. T., and Booth, E. S.:
Calcium carbonate measurements in the surface global ocean based on
Moderate-Resolution Imaging Spectroradiometer data, J. Geophys.
Res.-Oceans, 110,  C07001, <a href="https://doi.org/10.1029/2004JC002560" target="_blank">https://doi.org/10.1029/2004JC002560</a>, 2005.
</mixed-citation></ref-html>
<ref-html id="bib1.bib3"><label>Broerse et al.(2003)Broerse, Tyrrell, Young, Poulton, Merico, Balch,
and Miller</label><mixed-citation>
Broerse, A. T. C., Tyrrell, T., Young, J. R., Poulton, A. J., Merico, A.,
Balch, W. M., and Miller, P. I.: The cause of bright waters in the Bering
Sea in winter, Cont. Shelf Res., 23, 1579–1596, 2003.
</mixed-citation></ref-html>
<ref-html id="bib1.bib4"><label>Brown and Yoder(1994)</label><mixed-citation>
Brown, C. W. and Yoder, J. A.: Coccolithophorid blooms in the global ocean,
J. Geophys. Res., 99, 7467–7482, 1994.
</mixed-citation></ref-html>
<ref-html id="bib1.bib5"><label>Buitenhuis et al.(2008)Buitenhuis, Pangerc, and Franklin</label><mixed-citation>
Buitenhuis, E. T., Pangerc, T., and Franklin, D. J.: Growth rates of six
coccolithophorid strains as a function of temperature, Limnol. Oceanogr.,
53, 1181–1185, 2008.
</mixed-citation></ref-html>
<ref-html id="bib1.bib6"><label>Burkill et al.(2002)Burkill, Archer, Robinson, Nightingale, Groom,
Tarran, and Zubkov</label><mixed-citation>
Burkill, P. H., Archer, S. D., Robinson, C., Nightingale, P. D., Groom,
S. B., Tarran, G. A., and Zubkov, M. V.: Dimethyl sulphide biogeochemistry
within a
coccolithophore bloom (DISCO): an overview, Deep-Sea Res. Pt. II, 49, 2863–2885,
<a href="https://doi.org/10.1016/S0967-0645(02)00061-9" target="_blank">https://doi.org/10.1016/S0967-0645(02)00061-9</a>, 2002.
</mixed-citation></ref-html>
<ref-html id="bib1.bib7"><label>Casadio and Arino(2011)</label><mixed-citation>
Casadio, S. and Arino, O.: Monitoring the South Atlantic Anomaly using ATSR
instrument series, Adv. Space Res., 48, 1056–1066, 2011.
</mixed-citation></ref-html>
<ref-html id="bib1.bib8"><label>Elterman(1970)</label><mixed-citation>
Elterman, L.: Vertical-attenuation model with eight surface meteorological
ranges 2 to 13 kilometers (No. AFCRL-70-0200), Air Force Cambridge research
Labs Hanscom Afb MA., 1970.
</mixed-citation></ref-html>
<ref-html id="bib1.bib9"><label>Franz et al.(2007)Franz, Bailey, Werdell, and McClain</label><mixed-citation>
Franz, B., Bailey, S., Werdell, P., and McClain, C.: Sensor-independent
approach to the vicarious calibration of satellite ocean color radiometry,
Appl. Optics, 46, 5068–5082, 2007.
</mixed-citation></ref-html>
<ref-html id="bib1.bib10"><label>Garcia-Soto et al.(1995)Garcia-Soto, Fernandez, Pingree, and
Harbour</label><mixed-citation>
Garcia-Soto, G., Fernandez, E., Pingree, R. D., and Harbour, D. S.: Evolution
and structure of a shelf coccolithophore bloom in the Western English
Channel, J. Plankton Res., 17, 2011–2036, 1995.
</mixed-citation></ref-html>
<ref-html id="bib1.bib11"><label>Gordon et al.(2001)Gordon, Boynton, Balch, Groom, Harbour, and
Smyth</label><mixed-citation>
Gordon, H. R., Boynton, G. C., Balch, W. M., Groom, S. B., Harbour, D. S.,
and Smyth, T. J.: Retrieval of coccolithophore calcite concentration from
SeaWiFS imagery, Geophys. Res. Lett., 28, 1587–1590, 2001.
</mixed-citation></ref-html>
<ref-html id="bib1.bib12"><label>Groom and Holligan(1987)</label><mixed-citation>
Groom, S. B. and Holligan, P. M.: Remote Sensing of coccolithophore blooms,
Adv. Space Res., 7, 273–278, 1987.
</mixed-citation></ref-html>
<ref-html id="bib1.bib13"><label>Heidinger et al.(2002)Heidinger, Anne, and Dean</label><mixed-citation>
Heidinger, A., Anne, V., and Dean, C.: Using MODIS to estimate cloud
contamination of the AVHRR data record, J. Atmos. Ocean.
Tech., 19, 586–601, 2002.
</mixed-citation></ref-html>
<ref-html id="bib1.bib14"><label>Heidinger et al.(2014)Heidinger, Foster, Walther, and Zhao</label><mixed-citation>
Heidinger, A. K., Foster, M. J., Walther, A., and Zhao, X. T.: The
Pathfinder
atmospheres-extended AVHRR climate dataset, B. Am.
Meteorol. Soc., 95, 909–922, <a href="https://doi.org/10.1175/BAMS-D-12-00246.1" target="_blank">https://doi.org/10.1175/BAMS-D-12-00246.1</a>,
2014.
</mixed-citation></ref-html>
<ref-html id="bib1.bib15"><label>Henson et al.(2010)Henson, Sarmiento, Dunne, Bopp, Lima, Doney,
John, and Beaulieu</label><mixed-citation>
Henson, S. A., Sarmiento, J. L., Dunne, J. P., Bopp, L., Lima, I., Doney, S.
C., John, J., and Beaulieu, C.: Detection of anthropogenic climate change in
satellite records of ocean chlorophyll and productivity, Biogeosciences, 7,
621–640, <a href="https://doi.org/10.5194/bg-7-621-2010" target="_blank">https://doi.org/10.5194/bg-7-621-2010</a>, 2010.
</mixed-citation></ref-html>
<ref-html id="bib1.bib16"><label>Holligan et al.(1993)Holligan, Fernandez, Aiken, Balch, Boyd,
Burkill, Finch, Groom, Malin, Muller, Purdie, Robinson, Trees, Turner, and
Vanderwal</label><mixed-citation>
Holligan, P. M., Fernandez, E., Aiken, J., Balch, W. M., Boyd, P., Burkill,
P. H., Finch, M., Groom, S. B., Malin, G., Muller, K., Purdie, D. A.,
Robinson, C., Trees, C. C., Turner, S. M., and Vanderwal, P.: A
biogeochemical study of the coccolithophore <i>Emiliania huxleyi</i> in the
North Atlantic, Global Biogeochem. Cy., 7, 879–900, 1993.
</mixed-citation></ref-html>
<ref-html id="bib1.bib17"><label>Iglesias-Rodriguez et al.(2002)Iglesias-Rodriguez, Brown, Doney,
Kleypas, Kolber, Kolber, Hayes, and Falkowski</label><mixed-citation>
Iglesias-Rodriguez, M. D., Brown, C. W., Doney, S. C., Kleypas, J., Kolber,
D., Kolber, Z., Hayes, P. K., and Falkowski, P. G.: Representing key
phytoplankton functional groups in ocean carbon cycle models:
Coccolithophorids, Global Biogeochem. Cy., 16, 1100,
<a href="https://doi.org/10.1029/2001GB001454" target="_blank">https://doi.org/10.1029/2001GB001454</a>,
2002.
</mixed-citation></ref-html>
<ref-html id="bib1.bib18"><label>Ignatiades et al.(2009)Ignatiades, Gotsis-Skretas, Pagou, and
Krasakopoulou</label><mixed-citation>
Ignatiades, L., Gotsis-Skretas, O., Pagou, K., and Krasakopoulou, E.:
Diversification of phytoplankton community structure and related parameters
along a large-scale longitudinal east-west transect of the Mediterranean
Sea, J. Plankton Res., 31, 411–428, <a href="https://doi.org/10.5194/os-11-13-2015" target="_blank">https://doi.org/10.5194/os-11-13-2015</a>, 2009.
</mixed-citation></ref-html>
<ref-html id="bib1.bib19"><label>Koepke(1984)</label><mixed-citation>
Koepke, P.: Effective reflectance of oceanic whitecaps, Appl. Optics, 23,
1816–1824, 1984.
</mixed-citation></ref-html>
<ref-html id="bib1.bib20"><label>Liang(2005)</label><mixed-citation>
Liang, S.: Quantitative remote sensing of land surfaces, John Wiley &amp;
Sons, Inc., <a href="https://doi.org/10.1002/047172372X" target="_blank">https://doi.org/10.1002/047172372X</a>, 2005.
</mixed-citation></ref-html>
<ref-html id="bib1.bib21"><label>Loveday and Smyth(2018)</label><mixed-citation>
Loveday, B. and Smyth, T. J.: 40-year AVHRR record of visible channel Rrs and
coccolithophorid blooms, links to netCDF files, Plymouth Marine Laboratory,
PANGAEA, <a href="https://doi.org/10.1594/PANGAEA.892175" target="_blank">https://doi.org/10.1594/PANGAEA.892175</a>, 2018.
</mixed-citation></ref-html>
<ref-html id="bib1.bib22"><label>Malinverno et al.(2003)Malinverno, Ziveri, and Corselli</label><mixed-citation>
Malinverno, E., Ziveri, P., and Corselli, C.: Coccolithophorid distribution
in the Ionian Sea and its relationship to eastern Mediterranean circulation
during late fall to early winter 1997, J. Geophys. Res., 108, 8115,
<a href="https://doi.org/10.1029/2002JC001346" target="_blank">https://doi.org/10.1029/2002JC001346</a>, 2003.
</mixed-citation></ref-html>
<ref-html id="bib1.bib23"><label>Matrai and Keller(1993)</label><mixed-citation>
Matrai, P. and Keller, M.: Dimethylsulfide in a large-scale coccolithophore
bloom in the Gulf of Maine, Cont. Shelf Res., 13, 831–843,
<a href="https://doi.org/10.1016/0278-4343(93)90012-M" target="_blank">https://doi.org/10.1016/0278-4343(93)90012-M</a>, 1993.
</mixed-citation></ref-html>
<ref-html id="bib1.bib24"><label>Merico et al.(2003)Merico, Tyrrell, Brown, Groom, and Miller</label><mixed-citation>
Merico, A., Tyrrell, T., Brown, C. W., Groom, S. B., and Miller, P. I.:
Analysis of satellite imagery for <i>Emiliana huxleyi</i> blooms in the
Bering Sea before 1997, Geophys. Res. Lett., 30,  1337,
<a href="https://doi.org/10.1029/2002GL016648" target="_blank">https://doi.org/10.1029/2002GL016648</a>,
2003.
</mixed-citation></ref-html>
<ref-html id="bib1.bib25"><label>Morozov et al.(2013)Morozov, Pozdnyakov, Smyth, Sychev, and
Grassl</label><mixed-citation>
Morozov, E., Pozdnyakov, D., Smyth, T., Sychev, V., and Grassl, H.:
Space-borne study of seasonal, multi-year, and decadal phytoplankton
dynamics in the Bay of Biscay, Int. J. Remote Sens.,
34, 1297–1331, <a href="https://doi.org/10.1080/01431161.2012.718462" target="_blank">https://doi.org/10.1080/01431161.2012.718462</a>, 2013.
</mixed-citation></ref-html>
<ref-html id="bib1.bib26"><label>Moulin et al.(2001)Moulin, Gordon, Chomko, Banzon, and Evans</label><mixed-citation>
Moulin, C., Gordon, H. R., Chomko, R. M., Banzon, V. F., and Evans, R. H.:
Atmospheric correction of ocean color imagery through thick layers of
Saharan dust, Geophys. Res. Lett., 28, 5–8, 2001.
</mixed-citation></ref-html>
<ref-html id="bib1.bib27"><label>Neckel and Labs(1984)</label><mixed-citation>
Neckel, H. and Labs, D.: The solar radiation between 3300 and 12500&thinsp;Å,
Sol.
Phys., 90, 205–258, 1984.
</mixed-citation></ref-html>
<ref-html id="bib1.bib28"><label>Neukermans et al.(2018)Neukermans, Oziel, and Babin</label><mixed-citation>
Neukermans, G., Oziel, L., and Babin, M.: Increased intrusion of warming
Atlantic water leads to rapid expansion of temperate phytoplankton in the
Arctic, Glob. Change Biol., 24, 2545–2553, 2018.
</mixed-citation></ref-html>
<ref-html id="bib1.bib29"><label>O'Reilly et al.(1998)O'Reilly, Maritorena, Mitchell, Siegel, Carder,
Garver, Kahru, and McClain</label><mixed-citation>
O'Reilly, J. E., Maritorena, S., Mitchell, B. G., Siegel, D. A., Carder,
K. L.,
Garver, S. A., Kahru, M., and McClain, C.: Ocean color chlorophyll algorithms
for SeaWiFS, J. Geophys. Res., 103, 24937–24953, 1998.
</mixed-citation></ref-html>
<ref-html id="bib1.bib30"><label>Oviedo et al.(2015)Oviedo, Ziveri, Alvarez, and Tanhua</label><mixed-citation>
Oviedo, A., Ziveri, P., Álvarez, M., and Tanhua, T.: Is coccolithophore
distribution in the Mediterranean Sea related to seawater carbonate
chemistry?, Ocean Sci., 11, 13–32, <a href="https://doi.org/10.5194/os-11-13-2015" target="_blank">https://doi.org/10.5194/os-11-13-2015</a>,
2015.
</mixed-citation></ref-html>
<ref-html id="bib1.bib31"><label>Rao and Chen(1995)</label><mixed-citation>
Rao, C. R. N. and Chen, J. H.: Intersatellite calibration linkages for the
visible and near-infrared channels of the advanced very high-resolution
radiometer on the NOAA-7, NOAA-9, and NOAA-11 spacecraft, Int. J. Remote
Sens., 16, 1931–1942, 1995.
</mixed-citation></ref-html>
<ref-html id="bib1.bib32"><label>Rao and Chen(1996)</label><mixed-citation>
Rao, C. R. N. and Chen, J. H.: Post-launch calibration of the visible and
near-infrared channels of the advanced very high resolution radiometer on the
NOAA-14 spacecraft, Int. J. Remote Sens., 17, 2743–2747, 1996.
</mixed-citation></ref-html>
<ref-html id="bib1.bib33"><label>Smyth et al.(2004)Smyth, Tyrrell, and Tarrant</label><mixed-citation>
Smyth, T., Tyrrell, T., and Tarrant, B.: Time series of coccolithophore
activity in the Barents Sea, from twenty years of satellite imagery,
Geophys. Res. Lett., 31,  L11302, <a href="https://doi.org/10.1029/2004GL019735" target="_blank">https://doi.org/10.1029/2004GL019735</a>, 2004.
</mixed-citation></ref-html>
<ref-html id="bib1.bib34"><label>Smyth et al.(2002)Smyth, Moore, Groom, Land, and Tyrrell</label><mixed-citation>
Smyth, T. J., Moore, G. F., Groom, S. B., Land, P. E., and Tyrrell, T.:
Optical
modeling and measurements of a coccolithophore bloom, Appl. Optics, 41,
7679–7688, <a href="https://doi.org/10.1364/AO.41.007679" target="_blank">https://doi.org/10.1364/AO.41.007679</a>, 2002.
</mixed-citation></ref-html>
<ref-html id="bib1.bib35"><label>Smyth et al.(2006)Smyth, Moore, Hirata, and Aiken</label><mixed-citation>
Smyth, T. J., Moore, G. F., Hirata, T., and Aiken, J.: Semianalytical model
for the derivation of ocean color inherent optical properties: description,
implementation, and performance assessment, Appl. Optics, 45,
8116–8131, <a href="https://doi.org/10.1364/AO.45.008116" target="_blank">https://doi.org/10.1364/AO.45.008116</a>, 2006.
</mixed-citation></ref-html>
<ref-html id="bib1.bib36"><label>Stumpf and Pennock(1989)</label><mixed-citation>
Stumpf, R. P. and Pennock, J. R.: Calibration of a general optical equation
for
remote sensing of suspended sediments in a moderately turbid estuary, J.
Geophys. Res., 94, 14363–14371, 1989.
</mixed-citation></ref-html>
<ref-html id="bib1.bib37"><label>Tanre et al.(1992)Tanre, Holben, and Kaufman</label><mixed-citation>
Tanre, D., Holben, B. N., and Kaufman, Y. J.: Atmospheric correction against
algorithm for NOAA-AVHRR products: theory and application, IEEE T.
Geosci. Remote, 30, 231–248, <a href="https://doi.org/10.1109/36.134074" target="_blank">https://doi.org/10.1109/36.134074</a>,
1992.
</mixed-citation></ref-html>
<ref-html id="bib1.bib38"><label>Uz et al.(2013)Uz, Brown, Heidinger, Smyth, and Murtugudde</label><mixed-citation>
Uz, S., Brown, C., Heidinger, A., Smyth, T., and Murtugudde, R.: Monitoring
a
sentinel species from satellites: detecting emiliania huxleyi in 25 years of
AVHRR imagery, in: Satellite-based Applications on Climate Change, Springer,
Dordrecht, <a href="https://doi.org/10.1007/978-94-007-5872-8" target="_blank">https://doi.org/10.1007/978-94-007-5872-8</a>, 2013.
</mixed-citation></ref-html>
<ref-html id="bib1.bib39"><label>Winter et al.(2013)Winter, Henderiks, Beaufort, Rickaby, and
Brown</label><mixed-citation>
Winter, A., Henderiks, J., Beaufort, L., Rickaby, R. E., and Brown, C. W.:
Poleward expansion of the coccolithophore Emiliania huxleyi, J.
Plankton Res., 36, 316–325, 2013.
</mixed-citation></ref-html>
<ref-html id="bib1.bib40"><label>Zhao et al.(2004)Zhao, Dubovik, Smirnov, Holben, Sapper, Pietras,
Voss, and Frouin</label><mixed-citation>
Zhao, T., Dubovik, O., Smirnov, A., Holben, B., Sapper, J., Pietras, C.,
Voss,
K., and Frouin, R.: Regional evaluation of an advanced very high resolution
radiometer (AVHRR) two-channel aerosol retrieval algorithm, J. Geophys.
Res., 109,  D02204, <a href="https://doi.org/10.1029/2003JD003817" target="_blank">https://doi.org/10.1029/2003JD003817</a>, 2004.
</mixed-citation></ref-html>--></article>
