<?xml version="1.0" encoding="UTF-8"?>
<!DOCTYPE article PUBLIC "-//NLM//DTD Journal Publishing with OASIS Tables v3.0 20080202//EN" "journalpub-oasis3.dtd">
<article xmlns:xlink="http://www.w3.org/1999/xlink" xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:oasis="http://docs.oasis-open.org/ns/oasis-exchange/table" dtd-version="3.0"><?xmltex \hack{\allowdisplaybreaks}?>
  <front>
    <journal-meta>
<journal-id journal-id-type="publisher">OS</journal-id>
<journal-title-group>
<journal-title>Ocean Science</journal-title>
<abbrev-journal-title abbrev-type="publisher">OS</abbrev-journal-title>
<abbrev-journal-title abbrev-type="nlm-ta">Ocean Sci.</abbrev-journal-title>
</journal-title-group>
<issn pub-type="epub">1812-0792</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/os-12-1279-2016</article-id><title-group><article-title>Technical note: Algal Pigment Index 2 in the Atlantic off the southwest
Iberian Peninsula: standard and regional algorithms</article-title>
      </title-group><?xmltex \runningtitle{Technical note: Algal Pigment Index 2 in the Atlantic}?><?xmltex \runningauthor{P.~Goela et al.}?>
      <contrib-group>
        <contrib contrib-type="author" corresp="yes" rid="aff1 aff2">
          <name><surname>Goela</surname><given-names>Priscila</given-names></name>
          <email>priscila.goela@gmail.com</email>
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff1 aff2">
          <name><surname>Cristina</surname><given-names>Sónia</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff3">
          <name><surname>Kajiyama</surname><given-names>Tamito</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff1 aff2">
          <name><surname>Icely</surname><given-names>John</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff4">
          <name><surname>Moore</surname><given-names>Gerald</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff1 aff2">
          <name><surname>Fragoso</surname><given-names>Bruno</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff1 aff5">
          <name><surname>Newton</surname><given-names>Alice</given-names></name>
          
        </contrib>
        <aff id="aff1"><label>1</label><institution>Centre for Marine and Environmental Research, FCT, University of
Algarve, Campus de Gambelas, 8005-139 Faro, Portugal</institution>
        </aff>
        <aff id="aff2"><label>2</label><institution>Sagremarisco Lda., Apartado 21, 8650-999 Vila do Bispo, Portugal</institution>
        </aff>
        <aff id="aff3"><label>3</label><institution>FCT, University of Algarve, Campus de Gambelas, 8005-139 Faro, Portugal</institution>
        </aff>
        <aff id="aff4"><label>4</label><institution>Bio-Optika, Crofters, Gunnislake, PL18 NQ, UK</institution>
        </aff>
        <aff id="aff5"><label>5</label><institution>Norwegian Institute for Air Research-IMPEC, Box 100, 2027 Kjeller, Norway</institution>
        </aff>
      </contrib-group>
      <author-notes><corresp id="corr1">Priscila Goela (priscila.goela@gmail.com)</corresp></author-notes><pub-date><day>22</day><month>December</month><year>2016</year></pub-date>
      
      <volume>12</volume>
      <issue>6</issue>
      <fpage>1279</fpage><lpage>1288</lpage>
      <history>
        <date date-type="received"><day>3</day><month>June</month><year>2016</year></date>
           <date date-type="rev-request"><day>5</day><month>July</month><year>2016</year></date>
           <date date-type="rev-recd"><day>14</day><month>October</month><year>2016</year></date>
           <date date-type="accepted"><day>27</day><month>November</month><year>2016</year></date>
      </history>
      <permissions>
<license license-type="open-access">
<license-p>This work is licensed under a Creative Commons Attribution 3.0 Unported License. To view a copy of this license, visit <ext-link ext-link-type="uri" xlink:href="http://creativecommons.org/licenses/by/3.0/">http://creativecommons.org/licenses/by/3.0/</ext-link></license-p>
</license>
</permissions><self-uri xlink:href="https://os.copernicus.org/articles/.html">This article is available from https://os.copernicus.org/articles/.html</self-uri>
<self-uri xlink:href="https://os.copernicus.org/articles/.pdf">The full text article is available as a PDF file from https://os.copernicus.org/articles/.pdf</self-uri>


      <abstract>
    <p>In this study, Algal Pigment Index 2 (API2) is investigated in Sagres, an
area located in the Atlantic off the southwestern Iberian Peninsula. Standard
results provided by the MEdium Resolution Image Spectrometer (MERIS) ocean colour
sensor were compared with alternative data products, determined through a
regional inversion scheme, using both MERIS and in situ remote sensing
reflectances (<italic>R</italic><inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">rs</mml:mi></mml:msub></mml:math></inline-formula>) as input data. The reference quantity
for performance assessment is in situ total chlorophyll <italic>a</italic>
(TChl <italic>a</italic>) concentration estimated through a phytoplankton absorption
coefficient (i.e. equivalent to API2). Additional comparison of data
products has also been addressed for TChl <italic>a</italic> concentration determined
by high-performance liquid chromatography. The MERIS matchup analysis
revealed a systematic underestimation of TChl <italic>a</italic>, which was confirmed
with an independent comparison of product map analysis. The study
demonstrates the importance of regional algorithms for the study area that
could complement upcoming standard results of the current Sentinel-3/OLCI
space mission.</p>
  </abstract>
    </article-meta>
  </front>
<body>
      

<sec id="Ch1.S1" sec-type="intro">
  <title>Introduction</title>
      <p>The MEdium Resolution Image Spectrometer (MERIS) space sensor, operated by the European Space Agency (ESA) on-board
the ENVISAT platform from 2002 to 2012, has been continuously supported by
investigations for the assessment and improvement of data products.
Commissioned studies include the validation of radiometric data such as the
<italic>R</italic><inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">rs</mml:mi></mml:msub></mml:math></inline-formula> (Cristina et al., 2014; Kajiyama et al., 2014), as
well as
the analyses of derived product maps (Kajiyama et al., 2014; D'Alimonte
et al., 2014; Cristina et al., 2016b). These MERIS validation activities have
established an important basis to address Earth observation (EO) capabilities
through the Ocean Land Colour Instrument (OLCI) sensor launched on the
Sentinel-3 satellite in February 2016. OLCI data products are the main
component of the Copernicus European programme to monitor the marine
environment, and the retrieval of chlorophyll <italic>a</italic> (Chl <italic>a</italic>) is
a core task of the Sentinel-3 space mission. Chl <italic>a</italic> is needed to
estimate the phytoplankton biomass in the ocean and to contribute to a
variety of interrelated investigations and applications, including climate
data records, environmental legislation, and a number of economic activities
such as fisheries and aquaculture. After the removal of the atmospheric
contribution to the signal recorded at the top of the atmosphere,
Chl <italic>a</italic> can be estimated from the bottom-of-atmosphere (BOA)
<italic>R</italic><inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">rs</mml:mi></mml:msub></mml:math></inline-formula> values,
using the standard approach with polynomial
algorithms based on band ratios of the input radiometric quantities. The
corresponding MERIS data product is denoted Algal Pigment Index 1 (API1)
(Morel and Antoine, 2011). The use of band ratio is based on the assumption
that seawater optical properties are driven by Chl <italic>a</italic>. A tendency
towards overestimation has, however, been documented in optically complex marine
conditions (D'Alimonte et al., 2014). This can occur when optically active
constituents, such as coloured dissolved organic matter (CDOM) and detrital
particulate matter, exceed their typical levels. The Chl <italic>a</italic> retrieval
accuracy declines in these optically complex conditions because the
band ratio approach attributes variations of the <italic>R</italic><inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">rs</mml:mi></mml:msub></mml:math></inline-formula>
spectral slope to changes of Chl <italic>a</italic>. In such cases, regionalized
bio-optical algorithms are required (Bricaud et al., 2002; Gregg and Casey,
2004). Alternative ocean colour inversion schemes adopted to improve the
Chl <italic>a</italic> retrieval from space include artificial neural nets (NNs) using
<italic>R</italic><inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">rs</mml:mi></mml:msub></mml:math></inline-formula> at selected wavelengths as input. In the case of
MERIS standard deliverables, this corresponds to the API2 data product
(Doerffer and Schiller, 2007).</p>
      <p>Although NNs can, in principle, model any relationship between apparent and
inherent optical properties, their performance is, in practice, mostly
determined by the dataset used for their training. Specific analyses are then
needed to compare the standard MERIS API2 results with independent estimates.
This main requirement is addressed in the present work by
(1) developing and
assessing the performance of an independent regional multilayer perceptron
(MLP) scheme to retrieve results equivalent to MERIS API2 values; and by
(2) comparing MERIS standard and regional API2 product maps.</p>
      <p>The region being studied is the Atlantic off the southwestern Iberian
Peninsula, where in situ reference data were collected at three stations off
the Sagres region at 2, 10, and 18 km from the coast (henceforth, stations A,
B, and C, respectively). The study is conducted based on both matchup analyses
and product map intercomparisons, with timely presentation of the results
acknowledging not only the planned MERIS data reprocessing but also the
need for a benchmark for the analysis of the upcoming OLCI API2 deliverables.
An added value of this study is to confirm that qualitative evaluations based
on product map comparison can complement matchup data at the early mission
stages of OLCI, when the statistical significance of matchup analysis is
limited.</p>
</sec>
<sec id="Ch1.S2">
  <title>Data and methods</title>
      <p>Field campaigns were performed from 2008 to 2012 at the three study sites,
with simultaneous collection of water samples and radiometric measurements.
MERIS level 2 full resolution (FR, 290 m <inline-formula><mml:math display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula> 260,m) and reduced resolution (RR,
1.20 km <inline-formula><mml:math display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula> 1.04 km) satellite images were extracted for matchup
analysis and product map comparison, respectively, and analysed with the
Basic ERS &amp; ENVISAT (A) ATSR and MERIS Toolbox (BEAM version 4.9). The
MEGS 8.1 processor (MERIS third reprocessing) was used to derive level 2
data, in agreement with previously reported extraction procedures (Cristina
et al., 2014, 2015). The selection of satellite images was restricted to
images without clouds and contamination, as indicated by not having specific
product confidence (PCD), sun glint, and ice flags. More details on the image
selection criteria and full description of flags are reported in Cristina et
al. (2016a). TChl <italic>a</italic> concentration (monovinyl Chl <italic>a</italic> <inline-formula><mml:math display="inline"><mml:mo>+</mml:mo></mml:math></inline-formula> divinyl
Chl <italic>a</italic> <inline-formula><mml:math display="inline"><mml:mo>+</mml:mo></mml:math></inline-formula> chlorophyllide <italic>a</italic> <inline-formula><mml:math display="inline"><mml:mo>+</mml:mo></mml:math></inline-formula> phaeopigments) was
determined by high-performance liquid chromatography (HPLC), according to
Wright and Jeffrey (1997), herein referred to as
<inline-formula><mml:math display="inline"><mml:mrow><mml:mi mathvariant="normal">TChl</mml:mi><mml:mspace linebreak="nobreak" width="0.25em"/><mml:msubsup><mml:mi>a</mml:mi><mml:mi mathvariant="normal">HPLC</mml:mi><mml:mi mathvariant="normal">REF</mml:mi></mml:msubsup></mml:mrow></mml:math></inline-formula>. The protocols adopted for
TChl <italic>a</italic> extraction, identification, and quantification procedures are
reported in Goela et al. (2014, 2015).</p>
<sec id="Ch1.S2.SS1">
  <title>In situ reference data</title>
      <p>In situ radiometric measurements were acquired with a tethered attenuation
coefficient chain sensor (TACCS, Satlantic<sup>®</sup>),
supporting a hyperspectral surface irradiance sensor
<italic>E</italic><inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi/><mml:mi mathvariant="normal">s</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> and a subsurface radiance sensor
<italic>L</italic><inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi/><mml:mi mathvariant="normal">u</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>, as well as a tethered attenuation chain equipped
with four irradiance sensors at nominal depths of 2, 4, 8, and 16 m.
Normalized water leaving reflectance (<inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">ρ</mml:mi><mml:mi mathvariant="normal">N</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>) was computed with
Eq. (1):

                <disp-formula id="Ch1.E1" content-type="numbered"><mml:math display="block"><mml:mrow><mml:msub><mml:mi mathvariant="italic">ρ</mml:mi><mml:mi mathvariant="normal">N</mml:mi></mml:msub><mml:mfenced open="(" close=")"><mml:mi mathvariant="italic">λ</mml:mi></mml:mfenced><mml:mo>=</mml:mo><mml:mi mathvariant="italic">π</mml:mi><mml:mstyle displaystyle="true"><mml:mfrac style="display"><mml:mrow><mml:msub><mml:mi>L</mml:mi><mml:mi mathvariant="normal">w</mml:mi></mml:msub><mml:mfenced open="(" close=")"><mml:mi mathvariant="italic">λ</mml:mi></mml:mfenced></mml:mrow><mml:mrow><mml:msub><mml:mi>E</mml:mi><mml:mi mathvariant="normal">s</mml:mi></mml:msub><mml:mfenced close=")" open="("><mml:mi mathvariant="italic">λ</mml:mi></mml:mfenced></mml:mrow></mml:mfrac></mml:mstyle><mml:mo>,</mml:mo></mml:mrow></mml:math></disp-formula>

          where <italic>L</italic><inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">w</mml:mi></mml:msub></mml:math></inline-formula> is the water leaving radiance determined by
propagating <italic>L</italic><inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">u</mml:mi></mml:msub></mml:math></inline-formula> from below to above the sea surface and
corrected for self-shading following Gordon and Ding (1992).
<inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">ρ</mml:mi><mml:mi>N</mml:mi></mml:msub><mml:mfenced open="(" close=")"><mml:mi mathvariant="italic">λ</mml:mi></mml:mfenced></mml:mrow></mml:math></inline-formula> corresponds to the remote sensing reflectance
<italic>R</italic><inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">rs</mml:mi></mml:msub></mml:math></inline-formula> upon scaling with <inline-formula><mml:math display="inline"><mml:mi mathvariant="italic">π</mml:mi></mml:math></inline-formula>.</p>
      <p>For the determination of in situ absorption of phytoplankton pigments at
442 nm (<italic>a</italic><inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">ph</mml:mi></mml:msub></mml:math></inline-formula>(442)), seawater filtrates (0.5 L) were
collected on GF/F filters (pore size 0.7 <inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">µ</mml:mi></mml:math></inline-formula>m), which were then
analysed with the transmittance–reflectance technique of Tassan and
Ferrari (2002), using a dual beam spectrophotometer
(GBC<sup>®</sup> CINTRA 40), equipped with an
integrating sphere. The phytoplankton absorption was determined as the
difference between the total particulate and detrital absorption, which were
measured before and after sodium hypochlorite bleaching (Ferrari and Tassan,
1999; Goela et al., 2013), respectively. The API2 in situ equivalent algal
pigment index <inline-formula><mml:math display="inline"><mml:mrow><mml:mi mathvariant="normal">TChl</mml:mi><mml:mspace linebreak="nobreak" width="0.25em"/><mml:msubsup><mml:mi>a</mml:mi><mml:mi mathvariant="normal">ABS</mml:mi><mml:mi mathvariant="normal">REF</mml:mi></mml:msubsup></mml:mrow></mml:math></inline-formula> was then
estimated by converting <italic>a</italic><inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">ph</mml:mi></mml:msub></mml:math></inline-formula>(442) into API2, using the
same regression coefficients presented in Sect. 2.2.2.</p>

<?xmltex \floatpos{t}?><table-wrap id="Ch1.T1" specific-use="star"><caption><p>Comparison of the standard (MER<inline-formula><mml:math display="inline"><mml:mrow><mml:msup><mml:mi/><mml:mrow><mml:mi mathvariant="normal">API</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:msup><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula>, the regional bio-optical
algorithms MLP(<inline-formula><mml:math display="inline"><mml:mrow><mml:msubsup><mml:mi>R</mml:mi><mml:mi mathvariant="normal">rs</mml:mi><mml:mi mathvariant="normal">MER</mml:mi></mml:msubsup></mml:mrow></mml:math></inline-formula>) and MLP(<inline-formula><mml:math display="inline"><mml:mrow><mml:msubsup><mml:mi>R</mml:mi><mml:mi mathvariant="normal">rs</mml:mi><mml:mi mathvariant="normal">SITU</mml:mi></mml:msubsup></mml:mrow></mml:math></inline-formula>), and
the TChl <inline-formula><mml:math display="inline"><mml:mrow><mml:msup><mml:mi>a</mml:mi><mml:mi mathvariant="normal">REF</mml:mi></mml:msup></mml:mrow></mml:math></inline-formula>.</p></caption><oasis:table frame="topbot"><?xmltex \begin{scaleboxenv}{.93}[.93]?><oasis:tgroup cols="17">
     <oasis:colspec colnum="1" colname="col1" align="left"/>
     <oasis:colspec colnum="2" colname="col2" align="right"/>
     <oasis:colspec colnum="3" colname="col3" align="right"/>
     <oasis:colspec colnum="4" colname="col4" align="right"/>
     <oasis:colspec colnum="5" colname="col5" align="right" colsep="1"/>
     <oasis:colspec colnum="6" colname="col6" align="right"/>
     <oasis:colspec colnum="7" colname="col7" align="right"/>
     <oasis:colspec colnum="8" colname="col8" align="right"/>
     <oasis:colspec colnum="9" colname="col9" align="right" colsep="1"/>
     <oasis:colspec colnum="10" colname="col10" align="right"/>
     <oasis:colspec colnum="11" colname="col11" align="right"/>
     <oasis:colspec colnum="12" colname="col12" align="right"/>
     <oasis:colspec colnum="13" colname="col13" align="right" colsep="1"/>
     <oasis:colspec colnum="14" colname="col14" align="right"/>
     <oasis:colspec colnum="15" colname="col15" align="right"/>
     <oasis:colspec colnum="16" colname="col16" align="right"/>
     <oasis:colspec colnum="17" colname="col17" align="right"/>
     <oasis:thead>
       <oasis:row>  
         <oasis:entry colname="col1"/>  
         <oasis:entry rowsep="1" namest="col2" nameend="col5" align="center" colsep="1"><inline-formula><mml:math display="inline"><mml:mi>N</mml:mi></mml:math></inline-formula></oasis:entry>  
         <oasis:entry rowsep="1" namest="col6" nameend="col9" align="center" colsep="1"><inline-formula><mml:math display="inline"><mml:mi mathvariant="italic">ε</mml:mi></mml:math></inline-formula> (%) </oasis:entry>  
         <oasis:entry rowsep="1" namest="col10" nameend="col13" align="center" colsep="1"><inline-formula><mml:math display="inline"><mml:mi mathvariant="italic">δ</mml:mi></mml:math></inline-formula> (%) </oasis:entry>  
         <oasis:entry rowsep="1" namest="col14" nameend="col17" align="center"><inline-formula><mml:math display="inline"><mml:mrow><mml:msup><mml:mi>r</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula></oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">  
         <oasis:entry colname="col1"/>  
         <oasis:entry colname="col2">A</oasis:entry>  
         <oasis:entry colname="col3">B</oasis:entry>  
         <oasis:entry colname="col4">C</oasis:entry>  
         <oasis:entry colname="col5">All</oasis:entry>  
         <oasis:entry colname="col6">A</oasis:entry>  
         <oasis:entry colname="col7">B</oasis:entry>  
         <oasis:entry colname="col8">C</oasis:entry>  
         <oasis:entry colname="col9">All</oasis:entry>  
         <oasis:entry colname="col10">A</oasis:entry>  
         <oasis:entry colname="col11">B</oasis:entry>  
         <oasis:entry colname="col12">C</oasis:entry>  
         <oasis:entry colname="col13">All</oasis:entry>  
         <oasis:entry colname="col14">A</oasis:entry>  
         <oasis:entry colname="col15">B</oasis:entry>  
         <oasis:entry colname="col16">C</oasis:entry>  
         <oasis:entry colname="col17">All</oasis:entry>
       </oasis:row>
     </oasis:thead>
     <oasis:tbody>
       <oasis:row>  
         <oasis:entry colname="col1">MER<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mi mathvariant="normal">API</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> vs. <inline-formula><mml:math display="inline"><mml:mrow><mml:mi>T</mml:mi><mml:mi mathvariant="normal">Chl</mml:mi><mml:mspace width="0.25em" linebreak="nobreak"/><mml:msubsup><mml:mi>a</mml:mi><mml:mi mathvariant="normal">ABS</mml:mi><mml:mi mathvariant="normal">REF</mml:mi></mml:msubsup></mml:mrow></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col2">18</oasis:entry>  
         <oasis:entry colname="col3">17</oasis:entry>  
         <oasis:entry colname="col4">19</oasis:entry>  
         <oasis:entry colname="col5">54</oasis:entry>  
         <oasis:entry colname="col6">45</oasis:entry>  
         <oasis:entry colname="col7">35</oasis:entry>  
         <oasis:entry colname="col8">38</oasis:entry>  
         <oasis:entry colname="col9">39</oasis:entry>  
         <oasis:entry colname="col10"><inline-formula><mml:math display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>35</oasis:entry>  
         <oasis:entry colname="col11"><inline-formula><mml:math display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>32</oasis:entry>  
         <oasis:entry colname="col12"><inline-formula><mml:math display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>34</oasis:entry>  
         <oasis:entry colname="col13"><inline-formula><mml:math display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>34</oasis:entry>  
         <oasis:entry colname="col14">0.22</oasis:entry>  
         <oasis:entry colname="col15">0.60</oasis:entry>  
         <oasis:entry colname="col16">0.67</oasis:entry>  
         <oasis:entry colname="col17">0.49</oasis:entry>
       <?xmltex \interline{[2.845276pt]}?></oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">MER<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mi mathvariant="normal">API</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> vs. <inline-formula><mml:math display="inline"><mml:mrow><mml:mi>T</mml:mi><mml:mi mathvariant="normal">Chl</mml:mi><mml:mspace linebreak="nobreak" width="0.25em"/><mml:msubsup><mml:mi>a</mml:mi><mml:mi mathvariant="normal">HPLC</mml:mi><mml:mi mathvariant="normal">REF</mml:mi></mml:msubsup></mml:mrow></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col2">18</oasis:entry>  
         <oasis:entry colname="col3">17</oasis:entry>  
         <oasis:entry colname="col4">19</oasis:entry>  
         <oasis:entry colname="col5">54</oasis:entry>  
         <oasis:entry colname="col6">48</oasis:entry>  
         <oasis:entry colname="col7">39</oasis:entry>  
         <oasis:entry colname="col8">42</oasis:entry>  
         <oasis:entry colname="col9">43</oasis:entry>  
         <oasis:entry colname="col10"><inline-formula><mml:math display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>21</oasis:entry>  
         <oasis:entry colname="col11"><inline-formula><mml:math display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>24</oasis:entry>  
         <oasis:entry colname="col12"><inline-formula><mml:math display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>26</oasis:entry>  
         <oasis:entry colname="col13"><inline-formula><mml:math display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>24</oasis:entry>  
         <oasis:entry colname="col14">0.18</oasis:entry>  
         <oasis:entry colname="col15">0.54</oasis:entry>  
         <oasis:entry colname="col16">0.66</oasis:entry>  
         <oasis:entry colname="col17">0.38</oasis:entry>
       <?xmltex \interline{[2.845276pt]}?></oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">MLP (<inline-formula><mml:math display="inline"><mml:mrow><mml:msubsup><mml:mi>R</mml:mi><mml:mi mathvariant="normal">rs</mml:mi><mml:mi mathvariant="normal">MER</mml:mi></mml:msubsup><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula> vs. <inline-formula><mml:math display="inline"><mml:mrow><mml:mi>T</mml:mi><mml:mi mathvariant="normal">Chl</mml:mi><mml:mspace width="0.25em" linebreak="nobreak"/><mml:msubsup><mml:mi>a</mml:mi><mml:mi mathvariant="normal">ABS</mml:mi><mml:mi mathvariant="normal">REF</mml:mi></mml:msubsup></mml:mrow></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col2">18</oasis:entry>  
         <oasis:entry colname="col3">17</oasis:entry>  
         <oasis:entry colname="col4">19</oasis:entry>  
         <oasis:entry colname="col5">54</oasis:entry>  
         <oasis:entry colname="col6">23</oasis:entry>  
         <oasis:entry colname="col7">32</oasis:entry>  
         <oasis:entry colname="col8">30</oasis:entry>  
         <oasis:entry colname="col9">29</oasis:entry>  
         <oasis:entry colname="col10">8</oasis:entry>  
         <oasis:entry colname="col11">8</oasis:entry>  
         <oasis:entry colname="col12">16</oasis:entry>  
         <oasis:entry colname="col13">11</oasis:entry>  
         <oasis:entry colname="col14">0.69</oasis:entry>  
         <oasis:entry colname="col15">0.51</oasis:entry>  
         <oasis:entry colname="col16">0.85</oasis:entry>  
         <oasis:entry colname="col17">0.67</oasis:entry>
       <?xmltex \interline{[2.845276pt]}?></oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">MLP (<inline-formula><mml:math display="inline"><mml:mrow><mml:msubsup><mml:mi>R</mml:mi><mml:mi mathvariant="normal">rs</mml:mi><mml:mi mathvariant="normal">MER</mml:mi></mml:msubsup><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula> vs. <inline-formula><mml:math display="inline"><mml:mrow><mml:mi>T</mml:mi><mml:mi mathvariant="normal">Chl</mml:mi><mml:mspace width="0.25em" linebreak="nobreak"/><mml:msubsup><mml:mi>a</mml:mi><mml:mi mathvariant="normal">HPLC</mml:mi><mml:mi mathvariant="normal">REF</mml:mi></mml:msubsup></mml:mrow></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col2">18</oasis:entry>  
         <oasis:entry colname="col3">17</oasis:entry>  
         <oasis:entry colname="col4">19</oasis:entry>  
         <oasis:entry colname="col5">54</oasis:entry>  
         <oasis:entry colname="col6">66</oasis:entry>  
         <oasis:entry colname="col7">45</oasis:entry>  
         <oasis:entry colname="col8">49</oasis:entry>  
         <oasis:entry colname="col9">54</oasis:entry>  
         <oasis:entry colname="col10">39</oasis:entry>  
         <oasis:entry colname="col11">16</oasis:entry>  
         <oasis:entry colname="col12">30</oasis:entry>  
         <oasis:entry colname="col13">29</oasis:entry>  
         <oasis:entry colname="col14">0.38</oasis:entry>  
         <oasis:entry colname="col15">0.49</oasis:entry>  
         <oasis:entry colname="col16">0.49</oasis:entry>  
         <oasis:entry colname="col17">0.43</oasis:entry>
       <?xmltex \interline{[2.845276pt]}?></oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">MLP (<inline-formula><mml:math display="inline"><mml:mrow><mml:msubsup><mml:mi>R</mml:mi><mml:mi mathvariant="normal">rs</mml:mi><mml:mi mathvariant="normal">SITU</mml:mi></mml:msubsup><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula> vs. <inline-formula><mml:math display="inline"><mml:mrow><mml:mi>T</mml:mi><mml:mi mathvariant="normal">Chl</mml:mi><mml:mspace width="0.25em" linebreak="nobreak"/><mml:msubsup><mml:mi>a</mml:mi><mml:mi mathvariant="normal">ABS</mml:mi><mml:mi mathvariant="normal">REF</mml:mi></mml:msubsup></mml:mrow></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col2">93</oasis:entry>  
         <oasis:entry colname="col3">91</oasis:entry>  
         <oasis:entry colname="col4">113</oasis:entry>  
         <oasis:entry colname="col5">297</oasis:entry>  
         <oasis:entry colname="col6">16</oasis:entry>  
         <oasis:entry colname="col7">17</oasis:entry>  
         <oasis:entry colname="col8">19</oasis:entry>  
         <oasis:entry colname="col9">17</oasis:entry>  
         <oasis:entry colname="col10">3</oasis:entry>  
         <oasis:entry colname="col11"><inline-formula><mml:math display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>4</oasis:entry>  
         <oasis:entry colname="col12">7</oasis:entry>  
         <oasis:entry colname="col13">2</oasis:entry>  
         <oasis:entry colname="col14">0.88</oasis:entry>  
         <oasis:entry colname="col15">0.91</oasis:entry>  
         <oasis:entry colname="col16">0.91</oasis:entry>  
         <oasis:entry colname="col17">0.91</oasis:entry>
       <?xmltex \interline{[2.845276pt]}?></oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">MLP (<inline-formula><mml:math display="inline"><mml:mrow><mml:msubsup><mml:mi>R</mml:mi><mml:mi mathvariant="normal">rs</mml:mi><mml:mi mathvariant="normal">SITU</mml:mi></mml:msubsup><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula> vs. <inline-formula><mml:math display="inline"><mml:mrow><mml:mi>T</mml:mi><mml:mi mathvariant="normal">Chl</mml:mi><mml:mspace linebreak="nobreak" width="0.25em"/><mml:msubsup><mml:mi>a</mml:mi><mml:mi mathvariant="normal">HPLC</mml:mi><mml:mi mathvariant="normal">REF</mml:mi></mml:msubsup></mml:mrow></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col2">93</oasis:entry>  
         <oasis:entry colname="col3">91</oasis:entry>  
         <oasis:entry colname="col4">113</oasis:entry>  
         <oasis:entry colname="col5">297</oasis:entry>  
         <oasis:entry colname="col6">56</oasis:entry>  
         <oasis:entry colname="col7">35</oasis:entry>  
         <oasis:entry colname="col8">39</oasis:entry>  
         <oasis:entry colname="col9">43</oasis:entry>  
         <oasis:entry colname="col10">27</oasis:entry>  
         <oasis:entry colname="col11">7</oasis:entry>  
         <oasis:entry colname="col12">20</oasis:entry>  
         <oasis:entry colname="col13">18</oasis:entry>  
         <oasis:entry colname="col14">0.48</oasis:entry>  
         <oasis:entry colname="col15">0.86</oasis:entry>  
         <oasis:entry colname="col16">0.61</oasis:entry>  
         <oasis:entry colname="col17">0.63</oasis:entry>
       </oasis:row>
     </oasis:tbody>
   </oasis:tgroup><?xmltex \end{scaleboxenv}?></oasis:table></table-wrap>

</sec>
<sec id="Ch1.S2.SS2">
  <?xmltex \opttitle{Chlorophyll~\textit{a} retrieval algorithms}?><title>Chlorophyll <italic>a</italic> retrieval algorithms</title>
<sec id="Ch1.S2.SS2.SSS1">
  <title>MERIS standard algorithm API2</title>
      <p>This standard product is estimated with two NNs. The first NN computes BOA <italic>R</italic><inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">rs</mml:mi></mml:msub></mml:math></inline-formula> values by removing the atmospheric radiometric
contribution from input space-borne <italic>R</italic><inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">rs</mml:mi></mml:msub></mml:math></inline-formula> values. The
second NN utilizes the BOA <italic>R</italic><inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">rs</mml:mi></mml:msub></mml:math></inline-formula> to derive the
<italic>a</italic><inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">ph</mml:mi></mml:msub></mml:math></inline-formula>(442). The final API2 product is then computed as
MER<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mi mathvariant="normal">API</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> <inline-formula><mml:math display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> <inline-formula><mml:math display="inline"><mml:mi>A</mml:mi></mml:math></inline-formula> <inline-formula><mml:math display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula> <italic>a</italic><inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">ph</mml:mi></mml:msub></mml:math></inline-formula>(442)<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mi>B</mml:mi></mml:msup></mml:math></inline-formula>,
with power-law regression coefficients <inline-formula><mml:math display="inline"><mml:mi>A</mml:mi></mml:math></inline-formula> <inline-formula><mml:math display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> 21.0 and <inline-formula><mml:math display="inline"><mml:mi>B</mml:mi></mml:math></inline-formula> <inline-formula><mml:math display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> 1.04
derived from field measurements in the German Bight and Norwegian waters
(Doerffer and Schiller, 2007).</p>
</sec>
<sec id="Ch1.S2.SS2.SSS2">
  <title>Regional MLP NN algorithm</title>
      <p>The regional MLP for retrieving the data product equivalent to API2 has been
trained with the in situ data collected at the Sagres site (instructions for
independent implementation by users are provided at the web link
<uri>http://ocportugal.org/sites/default/files/mlpSgrAPI2.pdf</uri>). This MLP is
here applied to two different sets of input data for assessment of
performance and for comparison of results. The first set consists of the in
situ <italic>R</italic><inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">rs</mml:mi></mml:msub></mml:math></inline-formula> values
(<italic>R</italic><inline-formula><mml:math display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mi mathvariant="normal">rs</mml:mi><mml:mi mathvariant="normal">SITU</mml:mi></mml:msubsup></mml:mrow></mml:math></inline-formula>), and the second set includes
standard MERIS BOA <italic>R</italic><inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">rs</mml:mi></mml:msub></mml:math></inline-formula> data
(<italic>R</italic><inline-formula><mml:math display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mi mathvariant="normal">rs</mml:mi><mml:mi mathvariant="normal">MER</mml:mi></mml:msubsup></mml:mrow></mml:math></inline-formula>). Corresponding data products are
denoted MLP(<italic>R</italic><inline-formula><mml:math display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mi mathvariant="normal">rs</mml:mi><mml:mi mathvariant="normal">SITU</mml:mi></mml:msubsup></mml:mrow></mml:math></inline-formula>) and
MLP(<italic>R</italic><inline-formula><mml:math display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mi mathvariant="normal">rs</mml:mi><mml:mi mathvariant="normal">MER</mml:mi></mml:msubsup></mml:mrow></mml:math></inline-formula>), respectively. In both cases,
<italic>R</italic><inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">rs</mml:mi></mml:msub></mml:math></inline-formula> at 490, 510, and 560 nm were selected as input
channels, in agreement with the reference study (Cristina et al., 2014).</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F1" specific-use="star"><caption><p>Comparison between MERIS standard Algal Pigment Index 2 and
results obtained by applying the multilayer perceptron (MLP) regional scheme
for the Sagres region. The top row panels present the matchup comparisons
with respect to the in situ reference <inline-formula><mml:math display="inline"><mml:mrow><mml:mi mathvariant="normal">TChl</mml:mi><mml:mspace width="0.25em" linebreak="nobreak"/><mml:msubsup><mml:mi>a</mml:mi><mml:mi mathvariant="normal">ABS</mml:mi><mml:mi mathvariant="normal">REF</mml:mi></mml:msubsup></mml:mrow></mml:math></inline-formula>,
while the lower panels detail the matchup comparisons with
<inline-formula><mml:math display="inline"><mml:mrow><mml:mi mathvariant="normal">TChl</mml:mi><mml:mspace width="0.25em" linebreak="nobreak"/><mml:msubsup><mml:mi>a</mml:mi><mml:mi mathvariant="normal">HPLC</mml:mi><mml:mi mathvariant="normal">REF</mml:mi></mml:msubsup></mml:mrow></mml:math></inline-formula>.</p></caption>
            <?xmltex \igopts{width=341.433071pt}?><graphic xlink:href="https://os.copernicus.org/articles/12/1279/2016/os-12-1279-2016-f01.png"/>

          </fig>

      <?xmltex \floatpos{t}?><fig id="Ch1.F2" specific-use="star"><caption><p><bold>(a)</bold> Schematic diagram showing, respectively, underestimation and
overestimation of MERIS Algal Pigment Indices 1 and 2, relative to
TChl <italic>a</italic>, estimated through the absorption coefficient at 442 nm
(TChl <inline-formula><mml:math display="inline"><mml:mrow><mml:msubsup><mml:mi>a</mml:mi><mml:mi mathvariant="normal">ABS</mml:mi><mml:mi mathvariant="normal">REF</mml:mi></mml:msubsup></mml:mrow></mml:math></inline-formula>) and
measured by HPLC (TChl<inline-formula><mml:math display="inline"><mml:mrow><mml:mspace width="0.25em" linebreak="nobreak"/><mml:msubsup><mml:mi>a</mml:mi><mml:mi mathvariant="normal">HPLC</mml:mi><mml:mi mathvariant="normal">REF</mml:mi></mml:msubsup></mml:mrow></mml:math></inline-formula>), and
<bold>(b)</bold> scatter plot of the TChl <inline-formula><mml:math display="inline"><mml:mrow><mml:msubsup><mml:mi>a</mml:mi><mml:mi mathvariant="normal">ABS</mml:mi><mml:mi mathvariant="normal">REF</mml:mi></mml:msubsup></mml:mrow></mml:math></inline-formula>
vs. TChl <inline-formula><mml:math display="inline"><mml:mrow><mml:msubsup><mml:mi>a</mml:mi><mml:mi mathvariant="normal">HPLC</mml:mi><mml:mi mathvariant="normal">REF</mml:mi></mml:msubsup></mml:mrow></mml:math></inline-formula>.</p></caption>
            <?xmltex \igopts{width=284.527559pt}?><graphic xlink:href="https://os.copernicus.org/articles/12/1279/2016/os-12-1279-2016-f02.png"/>

          </fig>

      <?xmltex \floatpos{t}?><fig id="Ch1.F3" specific-use="star"><caption><p>Comparison between the Sagres regional MLP
algorithm map and the MERIS pigment index product map for
Algal Pigment Index 2 on
25 August 2010, showing <bold>(a)</bold> the product map of the regional MLP,
<bold>(b)</bold> standard API2 MERIS product map, <bold>(c)</bold> difference between MER<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mi mathvariant="normal">API</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> and
MLP(<italic>R</italic><inline-formula><mml:math display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mi mathvariant="normal">rs</mml:mi><mml:mi mathvariant="normal">MER</mml:mi></mml:msubsup></mml:mrow></mml:math></inline-formula>), <bold>(d)</bold> region of applicability of
MLP(<italic>R</italic><inline-formula><mml:math display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mi mathvariant="normal">rs</mml:mi><mml:mi mathvariant="normal">MER</mml:mi></mml:msubsup></mml:mrow></mml:math></inline-formula>), <bold>(f)</bold> results of the application of the
regional MLP to the Portuguese coast in the three regions of interest shown
in <bold>(e)</bold>. Please see Sect. 3.2 for a more detailed description of the panels
(source:
MER_RR_2PRAC20100825_103551_000026292092_00223_44365_0000.N1).</p></caption>
            <?xmltex \igopts{width=341.433071pt}?><graphic xlink:href="https://os.copernicus.org/articles/12/1279/2016/os-12-1279-2016-f03.png"/>

          </fig>

      <p>A novelty detection scheme (D'Alimonte et al., 2014; Bishop, 1994) was used
to verify the algorithm applicability range by evaluating the
representativeness of the input data in the training dataset (D'Alimonte et
al., 2003; Mélin et al., 2011; Sá et al., 2015). The adopted
applicability range is based on a novelty index (<inline-formula><mml:math display="inline"><mml:mi mathvariant="italic">η</mml:mi></mml:math></inline-formula>) presented in
published works (D'Alimonte et al., 2013; Sá et al., 2015). A revision
is, however, applied for the scope of this work. This updated version considers
all dimensions of the principal component analysis (PCA) of selected input
data, rather than only the first three components considered in the past
(see
<uri>http://ocportugal.org/sites/default/files/mlpSgrAPI2.pdf</uri> for details). This updated definition is more effective for
cases where the variability of training and application data tends to occur
at different wavelengths (details not presented here). Key features are the
following:
(1) <inline-formula><mml:math display="inline"><mml:mi mathvariant="italic">η</mml:mi></mml:math></inline-formula> is bounded between 0 and <inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">∞</mml:mi></mml:math></inline-formula>; (2) the more the
<italic>R</italic><inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">rs</mml:mi></mml:msub></mml:math></inline-formula> spectrum is similar to the in situ MLP training
measurements, the lower is its <inline-formula><mml:math display="inline"><mml:mi mathvariant="italic">η</mml:mi></mml:math></inline-formula>; and (3) an <italic>R</italic><inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">rs</mml:mi></mml:msub></mml:math></inline-formula>
spectrum is considered within the MLP applicability range when <inline-formula><mml:math display="inline"><mml:mrow><mml:mi mathvariant="italic">η</mml:mi><mml:mo>≤</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:math></inline-formula>.</p>
</sec>
</sec>
</sec>
<sec id="Ch1.S3">
  <title>Results</title>
      <p>The main tasks of this study are the following:
(1) to evaluate the performance of regional
MLP algorithm and the MER<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mi mathvariant="normal">API</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> results with respect to the in situ
<inline-formula><mml:math display="inline"><mml:mrow><mml:mi mathvariant="normal">TChl</mml:mi><mml:mspace width="0.25em" linebreak="nobreak"/><mml:msubsup><mml:mi>a</mml:mi><mml:mi mathvariant="normal">ABS</mml:mi><mml:mi mathvariant="normal">REF</mml:mi></mml:msubsup></mml:mrow></mml:math></inline-formula> reference measurements;
(2) to verify the applicability of the regional
MLP(<italic>R</italic><inline-formula><mml:math display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mi mathvariant="normal">rs</mml:mi><mml:mi mathvariant="normal">MER</mml:mi></mml:msubsup></mml:mrow></mml:math></inline-formula>) and to compare product maps with
MERIS algal pigment indices; and
(3) to extend the analysis by also considering
<inline-formula><mml:math display="inline"><mml:mrow><mml:mi mathvariant="normal">TChl</mml:mi><mml:mspace width="0.25em" linebreak="nobreak"/><mml:msubsup><mml:mi>a</mml:mi><mml:mi mathvariant="normal">HPLC</mml:mi><mml:mi mathvariant="normal">REF</mml:mi></mml:msubsup></mml:mrow></mml:math></inline-formula> for data product assessment. The main results are summarized in Table 1.</p>
      <p>The statistical figures used to evaluate the estimated (<italic>y</italic>) in
relation to the reference in situ TChl <italic>a</italic> (<italic>x</italic>)
are absolute
(<inline-formula><mml:math display="inline"><mml:mi mathvariant="italic">ε</mml:mi></mml:math></inline-formula>) and signed (<inline-formula><mml:math display="inline"><mml:mi mathvariant="italic">δ</mml:mi></mml:math></inline-formula>) percent differences, defined as

              <disp-formula id="Ch1.E2" content-type="numbered"><mml:math display="block"><mml:mrow><mml:mi mathvariant="italic">ε</mml:mi><mml:mo>=</mml:mo><mml:mstyle displaystyle="true"><mml:mfrac style="display"><mml:mn mathvariant="normal">1</mml:mn><mml:mi>N</mml:mi></mml:mfrac></mml:mstyle><mml:munderover><mml:mo movablelimits="false">∑</mml:mo><mml:mrow><mml:mi>i</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow><mml:mi>N</mml:mi></mml:munderover><mml:mstyle displaystyle="true"><mml:mfrac style="display"><mml:mrow><mml:mfenced close="|" open="|"><mml:msub><mml:mi>y</mml:mi><mml:mi>i</mml:mi></mml:msub><mml:mo>-</mml:mo><mml:msub><mml:mi>x</mml:mi><mml:mi>i</mml:mi></mml:msub></mml:mfenced></mml:mrow><mml:mrow><mml:msub><mml:mi>x</mml:mi><mml:mi>i</mml:mi></mml:msub></mml:mrow></mml:mfrac></mml:mstyle><mml:mo>×</mml:mo><mml:mn>100</mml:mn><mml:mo>;</mml:mo><mml:mi mathvariant="italic">δ</mml:mi><mml:mo>=</mml:mo><mml:mstyle displaystyle="true"><mml:mfrac style="display"><mml:mn mathvariant="normal">1</mml:mn><mml:mi>N</mml:mi></mml:mfrac></mml:mstyle><mml:munderover><mml:mo movablelimits="false">∑</mml:mo><mml:mrow><mml:mi>i</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow><mml:mi>N</mml:mi></mml:munderover><mml:mstyle displaystyle="true"><mml:mfrac style="display"><mml:mrow><mml:msub><mml:mi>y</mml:mi><mml:mi>i</mml:mi></mml:msub><mml:mo>-</mml:mo><mml:msub><mml:mi>x</mml:mi><mml:mi>i</mml:mi></mml:msub></mml:mrow><mml:mrow><mml:msub><mml:mi>x</mml:mi><mml:mi>i</mml:mi></mml:msub></mml:mrow></mml:mfrac></mml:mstyle><mml:mo>×</mml:mo><mml:mn>100</mml:mn><mml:mo>,</mml:mo></mml:mrow></mml:math></disp-formula>

        where <italic>N</italic> is the total number of samples and <italic>i</italic> is the sample
index. For product map comparison, the absolute (<inline-formula><mml:math display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">ε</mml:mi><mml:mo>∗</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula>) and
signed (<inline-formula><mml:math display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mo>∗</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula>) unbiased differences
are instead determined as

              <disp-formula id="Ch1.E3" content-type="numbered"><mml:math display="block"><mml:mrow><mml:msup><mml:mi mathvariant="italic">ε</mml:mi><mml:mo>∗</mml:mo></mml:msup><mml:mo>=</mml:mo><mml:mstyle displaystyle="true"><mml:mfrac style="display"><mml:mn mathvariant="normal">1</mml:mn><mml:mi>N</mml:mi></mml:mfrac></mml:mstyle><mml:munderover><mml:mo movablelimits="false">∑</mml:mo><mml:mrow><mml:mi>i</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow><mml:mi>N</mml:mi></mml:munderover><mml:mstyle displaystyle="true"><mml:mfrac style="display"><mml:mrow><mml:mfenced close="|" open="|"><mml:msub><mml:mi>y</mml:mi><mml:mi>i</mml:mi></mml:msub><mml:mo>-</mml:mo><mml:msub><mml:mi>x</mml:mi><mml:mi>i</mml:mi></mml:msub></mml:mfenced></mml:mrow><mml:mrow><mml:msub><mml:mi>y</mml:mi><mml:mi>i</mml:mi></mml:msub><mml:mo>+</mml:mo><mml:msub><mml:mi>x</mml:mi><mml:mi>i</mml:mi></mml:msub></mml:mrow></mml:mfrac></mml:mstyle><mml:mo>×</mml:mo><mml:mn>200</mml:mn><mml:mo>;</mml:mo><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mo>∗</mml:mo></mml:msup><mml:mo>=</mml:mo><mml:mstyle displaystyle="true"><mml:mfrac style="display"><mml:mn mathvariant="normal">1</mml:mn><mml:mi>N</mml:mi></mml:mfrac></mml:mstyle><mml:munderover><mml:mo movablelimits="false">∑</mml:mo><mml:mrow><mml:mi>i</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow><mml:mi>N</mml:mi></mml:munderover><mml:mstyle displaystyle="true"><mml:mfrac style="display"><mml:mrow><mml:msub><mml:mi>y</mml:mi><mml:mi>i</mml:mi></mml:msub><mml:mo>-</mml:mo><mml:msub><mml:mi>x</mml:mi><mml:mi>i</mml:mi></mml:msub></mml:mrow><mml:mrow><mml:msub><mml:mi>y</mml:mi><mml:mi>i</mml:mi></mml:msub><mml:mo>+</mml:mo><mml:msub><mml:mi>x</mml:mi><mml:mi>i</mml:mi></mml:msub></mml:mrow></mml:mfrac></mml:mstyle><mml:mo>×</mml:mo><mml:mn>200</mml:mn><mml:mo>,</mml:mo></mml:mrow></mml:math></disp-formula>

        where <italic>x</italic><inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mi>i</mml:mi></mml:msub></mml:math></inline-formula> and <italic>y</italic><inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mi>i</mml:mi></mml:msub></mml:math></inline-formula> are the
MLP(<italic>R</italic><inline-formula><mml:math display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mi mathvariant="normal">rs</mml:mi><mml:mi mathvariant="normal">MER</mml:mi></mml:msubsup></mml:mrow></mml:math></inline-formula>) and MER<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mi mathvariant="normal">API</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> values,
respectively, taking the mean of the two values as a reference. In addition,
the coefficient of determination (<italic>r</italic><inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:math></inline-formula>) between the evaluated
quantities is also reported. The total number of samples used to validate
MER<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mi mathvariant="normal">API</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> and MLP(<italic>R</italic><inline-formula><mml:math display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mi mathvariant="normal">rs</mml:mi><mml:mi mathvariant="normal">MER</mml:mi></mml:msubsup></mml:mrow></mml:math></inline-formula>) algorithm
results, with respect to the in situ reference measurements,
is <inline-formula><mml:math display="inline"><mml:mi>N</mml:mi></mml:math></inline-formula> <inline-formula><mml:math display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> 54.
In contrast, the total number of samples for assessing the performance of the
regional MLP algorithm with in situ reference measurements
MLP (<italic>R</italic><inline-formula><mml:math display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mi mathvariant="normal">rs</mml:mi><mml:mi mathvariant="normal">SITU</mml:mi></mml:msubsup></mml:mrow></mml:math></inline-formula>) is <inline-formula><mml:math display="inline"><mml:mi>N</mml:mi></mml:math></inline-formula> <inline-formula><mml:math display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> 297. This larger
number of samples is based on the data from four to eight radiometric casts for each
in situ TChl <inline-formula><mml:math display="inline"><mml:mi>a</mml:mi></mml:math></inline-formula> sample at each location.</p>
<sec id="Ch1.S3.SS1">
  <title>Matchup data analysis</title>
      <p>The top panels of Fig. 1 present the matchup comparisons of
MER<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mi mathvariant="normal">API</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>, MLP(<italic>R</italic><inline-formula><mml:math display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mi mathvariant="normal">rs</mml:mi><mml:mi mathvariant="normal">MER</mml:mi></mml:msubsup></mml:mrow></mml:math></inline-formula>), and
MLP(<italic>R</italic><inline-formula><mml:math display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mi mathvariant="normal">rs</mml:mi><mml:mi mathvariant="normal">SITU</mml:mi></mml:msubsup></mml:mrow></mml:math></inline-formula>) with respect to the in situ
reference <inline-formula><mml:math display="inline"><mml:mrow><mml:mi mathvariant="normal">TChl</mml:mi><mml:mspace linebreak="nobreak" width="0.25em"/><mml:msubsup><mml:mi>a</mml:mi><mml:mi mathvariant="normal">ABS</mml:mi><mml:mi mathvariant="normal">REF</mml:mi></mml:msubsup></mml:mrow></mml:math></inline-formula> (Fig. 1a–c,
respectively). While MER<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mi mathvariant="normal">API</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>
underestimates TChl <italic>a</italic>
(<inline-formula><mml:math display="inline"><mml:mrow><mml:mi mathvariant="italic">δ</mml:mi><mml:mo>=</mml:mo><mml:mo>-</mml:mo><mml:mn>34</mml:mn></mml:mrow></mml:math></inline-formula> %) especially at higher concentrations, the regional
products slightly
overestimate TChl <inline-formula><mml:math display="inline"><mml:mi>a</mml:mi></mml:math></inline-formula>: <inline-formula><mml:math display="inline"><mml:mrow><mml:mi mathvariant="italic">δ</mml:mi><mml:mo>=</mml:mo><mml:mn>11</mml:mn></mml:mrow></mml:math></inline-formula> % for
MLP(<italic>R</italic><inline-formula><mml:math display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mi mathvariant="normal">rs</mml:mi><mml:mi mathvariant="normal">MER</mml:mi></mml:msubsup></mml:mrow></mml:math></inline-formula>) and 2 % for
MLP(<italic>R</italic><inline-formula><mml:math display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mi mathvariant="normal">rs</mml:mi><mml:mi mathvariant="normal">SITU</mml:mi></mml:msubsup></mml:mrow></mml:math></inline-formula>). The best agreement between datasets
is obtained with MLP(<italic>R</italic><inline-formula><mml:math display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mi mathvariant="normal">rs</mml:mi><mml:mi mathvariant="normal">SITU</mml:mi></mml:msubsup></mml:mrow></mml:math></inline-formula>), while
MER<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mi mathvariant="normal">API</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>
shows larger uncertainties. The matchup analysis in Table 1 shows that
the underestimation of MER<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mi mathvariant="normal">API</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> in relation to
TChl <italic>a</italic> is relatively constant (35, 32, and 34 %, at stations A, B
and C, respectively) at all stations, but the correlation coefficient
improves with distance offshore (0.22, 0.60, and 0.67 at stations A, B, and C, respectively).</p>
      <p>In general, the matchup analysis with
<inline-formula><mml:math display="inline"><mml:mrow><mml:mi mathvariant="normal">TChl</mml:mi><mml:mspace linebreak="nobreak" width="0.25em"/><mml:msubsup><mml:mi>a</mml:mi><mml:mi mathvariant="normal">HPLC</mml:mi><mml:mi mathvariant="normal">REF</mml:mi></mml:msubsup></mml:mrow></mml:math></inline-formula>
reveals higher uncertainties for MER<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mi mathvariant="normal">API</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>,
MLP(<italic>R</italic><inline-formula><mml:math display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mi mathvariant="normal">rs</mml:mi><mml:mi mathvariant="normal">MER</mml:mi></mml:msubsup></mml:mrow></mml:math></inline-formula>), and
MLP(<italic>R</italic><inline-formula><mml:math display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mi mathvariant="normal">rs</mml:mi><mml:mi mathvariant="normal">SITU</mml:mi></mml:msubsup></mml:mrow></mml:math></inline-formula>), as detailed in Fig. 1 (lower
panel). Note that also in this case
MLP(<italic>R</italic><inline-formula><mml:math display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mi mathvariant="normal">rs</mml:mi><mml:mi mathvariant="normal">SITU</mml:mi></mml:msubsup></mml:mrow></mml:math></inline-formula>)
presents the best results, with
the highest coefficient of determination and the lowest bias. Similar to what
has been documented for <inline-formula><mml:math display="inline"><mml:mrow><mml:mi mathvariant="normal">TChl</mml:mi><mml:mspace width="0.25em" linebreak="nobreak"/><mml:msubsup><mml:mi>a</mml:mi><mml:mi mathvariant="normal">ABS</mml:mi><mml:mi mathvariant="normal">REF</mml:mi></mml:msubsup></mml:mrow></mml:math></inline-formula>, the bias
for <inline-formula><mml:math display="inline"><mml:mrow><mml:mi mathvariant="normal">TChl</mml:mi><mml:mspace width="0.25em" linebreak="nobreak"/><mml:msubsup><mml:mi>a</mml:mi><mml:mi mathvariant="normal">HPLC</mml:mi><mml:mi mathvariant="normal">REF</mml:mi></mml:msubsup></mml:mrow></mml:math></inline-formula>
displays only small
differences between the sampling stations. The coefficient of determination
instead
increases from station A to station C. The underestimation of
MER<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mi mathvariant="normal">API</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> in relation to
<inline-formula><mml:math display="inline"><mml:mrow><mml:mi mathvariant="normal">TChl</mml:mi><mml:mspace width="0.25em" linebreak="nobreak"/><mml:msubsup><mml:mi>a</mml:mi><mml:mi mathvariant="normal">HPLC</mml:mi><mml:mi mathvariant="normal">REF</mml:mi></mml:msubsup></mml:mrow></mml:math></inline-formula> is also observed, but with
a lower bias (Fig. 1d). These observations are schematized in Fig. 2, where
MER<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mi mathvariant="normal">API</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> is considered as the baseline. A complementary
comparison with MER<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mi mathvariant="normal">API</mml:mi><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> is considered for completeness.
Results
indicate an overestimation by the API1 algorithm in relation to both
estimations of TChl <italic>a</italic> (details not shown). The tendency of
<inline-formula><mml:math display="inline"><mml:mrow><mml:mi mathvariant="normal">TChl</mml:mi><mml:mspace width="0.25em" linebreak="nobreak"/><mml:msubsup><mml:mi>a</mml:mi><mml:mi mathvariant="normal">ABS</mml:mi><mml:mi mathvariant="normal">REF</mml:mi></mml:msubsup></mml:mrow></mml:math></inline-formula> to produce higher values than
<inline-formula><mml:math display="inline"><mml:mrow><mml:mi mathvariant="normal">TChl</mml:mi><mml:mspace linebreak="nobreak" width="0.25em"/><mml:msubsup><mml:mi>a</mml:mi><mml:mi mathvariant="normal">HPLC</mml:mi><mml:mi mathvariant="normal">REF</mml:mi></mml:msubsup></mml:mrow></mml:math></inline-formula> is also confirmed.</p>
</sec>
<sec id="Ch1.S3.SS2">
  <title>Comparison of product maps</title>
      <p>The comparison of MERIS API2 standard product with the MLP regional results
is presented in Fig. 3. The maps for the regional MLP (Fig. 3a) and the
MER<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mi mathvariant="normal">API</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> (Fig. 3b) are shown in the top panel, together with the
difference between MER<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mi mathvariant="normal">API</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> and
MLP(<italic>R</italic><inline-formula><mml:math display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mi mathvariant="normal">rs</mml:mi><mml:mi mathvariant="normal">MER</mml:mi></mml:msubsup></mml:mrow></mml:math></inline-formula>) shown in Fig. 3c. Overestimations
of more than 35 % in relation to the regional MLP are coloured in pink,
and underestimations below 35 % are coloured in yellow, while differences
between <inline-formula><mml:math display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>35 and 35 % are in green. The
MLP(<italic>R</italic><inline-formula><mml:math display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mi mathvariant="normal">rs</mml:mi><mml:mi mathvariant="normal">MER</mml:mi></mml:msubsup></mml:mrow></mml:math></inline-formula>) region of applicability is shown
in Fig. 3d, with black contours indicating the threshold <inline-formula><mml:math display="inline"><mml:mi mathvariant="italic">η</mml:mi></mml:math></inline-formula> <inline-formula><mml:math display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> <inline-formula><mml:math display="inline"><mml:mn mathvariant="normal">1</mml:mn></mml:math></inline-formula>. Results
indicate an underestimation by MER<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mi mathvariant="normal">API</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> of more than 35 % in a
significant part of the applicability range, especially near the coast.</p>
      <p>The results from the application of Sagres regional MLP to the Atlantic off
the Portuguese coast is presented in Fig. 3e and f. Besides the Sagres
area (no. 3, in blue), two other regions of interest (ROIs) have been
chosen for
comparison of product maps: Figueira da Foz (no. 1, in red) and the Lisbon region
(no. 2, in green; Fig. 3e). Note that ROIs no. 1 and no. 2 have been selected
for their contrasting features: the first is influenced by the Mondego River plume
and the second by the Tagus estuary. The comparison between the
MER<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mi mathvariant="normal">API</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> and regional MLP products is presented as a scatter plot
(Fig. 3f), following the same colour coding of the three ROIs. The
underestimation tendency of MER<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mi mathvariant="normal">API</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> in relation to in situ
TChl <italic>a</italic> is confirmed through this analysis. The results also
indicate more pronounced differences in Mondego and Tagus ROIs, where values
of TChl <italic>a</italic> are higher.</p>

<?xmltex \floatpos{t}?><table-wrap id="Ch1.T2"><caption><p>Comparison between the regional MLP(<inline-formula><mml:math display="inline"><mml:mrow><mml:msubsup><mml:mi>R</mml:mi><mml:mi mathvariant="normal">rs</mml:mi><mml:mi mathvariant="normal">MER</mml:mi></mml:msubsup></mml:mrow></mml:math></inline-formula>) and the
standard MER<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mi mathvariant="normal">API</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> (the locations of ROIs are presented in Fig. 3e).</p></caption><oasis:table frame="topbot"><oasis:tgroup cols="6">
     <oasis:colspec colnum="1" colname="col1" align="left"/>
     <oasis:colspec colnum="2" colname="col2" align="right"/>
     <oasis:colspec colnum="3" colname="col3" align="right"/>
     <oasis:colspec colnum="4" colname="col4" align="right"/>
     <oasis:colspec colnum="5" colname="col5" align="right"/>
     <oasis:colspec colnum="6" colname="col6" align="right"/>
     <oasis:thead>
       <oasis:row rowsep="1">  
         <oasis:entry colname="col1">ROI</oasis:entry>  
         <oasis:entry colname="col2"><inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi>N</mml:mi><mml:mi mathvariant="normal">tot</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col3"><inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi>N</mml:mi><mml:mi mathvariant="normal">val</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col4"><inline-formula><mml:math display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">ε</mml:mi><mml:mo>∗</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula> (%)</oasis:entry>  
         <oasis:entry colname="col5"><inline-formula><mml:math display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mo>∗</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula> (%)</oasis:entry>  
         <oasis:entry colname="col6"><inline-formula><mml:math display="inline"><mml:mrow><mml:msup><mml:mi>r</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula></oasis:entry>
       </oasis:row>
     </oasis:thead>
     <oasis:tbody>
       <oasis:row>  
         <oasis:entry colname="col1">No. 1</oasis:entry>  
         <oasis:entry colname="col2">2122</oasis:entry>  
         <oasis:entry colname="col3">2075</oasis:entry>  
         <oasis:entry colname="col4">43</oasis:entry>  
         <oasis:entry colname="col5"><inline-formula><mml:math display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>43</oasis:entry>  
         <oasis:entry colname="col6">0.70</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">No. 2</oasis:entry>  
         <oasis:entry colname="col2">3383</oasis:entry>  
         <oasis:entry colname="col3">1739</oasis:entry>  
         <oasis:entry colname="col4">32</oasis:entry>  
         <oasis:entry colname="col5"><inline-formula><mml:math display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>30</oasis:entry>  
         <oasis:entry colname="col6">0.71</oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">  
         <oasis:entry colname="col1">No. 3</oasis:entry>  
         <oasis:entry colname="col2">2946</oasis:entry>  
         <oasis:entry colname="col3">2224</oasis:entry>  
         <oasis:entry colname="col4">20</oasis:entry>  
         <oasis:entry colname="col5"><inline-formula><mml:math display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>15</oasis:entry>  
         <oasis:entry colname="col6">0.76</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">Total</oasis:entry>  
         <oasis:entry colname="col2">8451</oasis:entry>  
         <oasis:entry colname="col3">6038</oasis:entry>  
         <oasis:entry colname="col4">32</oasis:entry>  
         <oasis:entry colname="col5"><inline-formula><mml:math display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>29</oasis:entry>  
         <oasis:entry colname="col6">0.76</oasis:entry>
       </oasis:row>
     </oasis:tbody>
   </oasis:tgroup></oasis:table></table-wrap>

      <p>The statistical figures of the product map comparison between
MER<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mi mathvariant="normal">API</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> and regional MLP are summarized in Table 2. The
applicability of the Sagres MLP is verified with the novelty detection
scheme. The number of total and valid (i.e. <inline-formula><mml:math display="inline"><mml:mi mathvariant="italic">η</mml:mi></mml:math></inline-formula> &lt; 1) data
points are denoted as <italic>N</italic><inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">tot</mml:mi></mml:msub></mml:math></inline-formula> and
<italic>N</italic><inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">val</mml:mi></mml:msub></mml:math></inline-formula>, respectively. The Sagres ROI presents the highest
number of valid data points, while the Tagus region
has the highest percentage of
novel data points.</p>
</sec>
</sec>
<sec id="Ch1.S4">
  <title>Discussion</title>
      <p>This study analysed the standard MERIS API2 product by considering the
TChl <italic>a</italic> retrieval in the coastal waters of Portugal. Data product
comparisons have been performed by developing and applying a regional MLP
trained with Sagres in situ data and accounting for its applicability range.
The work highlighted a tendency of MER<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mi mathvariant="normal">API</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> to underestimate
TChl <italic>a</italic>, not only when the reference values were derived through
<italic>a</italic><inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">ph</mml:mi></mml:msub></mml:math></inline-formula>(442),
but also when determined by HPLC. This result
is consistent with other studies addressing low-productivity waters (Tilstone
et al., 2012). This underestimation tendency is more pronounced at higher
concentrations but not observed in the results of the regional MLP. Possible
explanations can be uncertainties in BOA <italic>R</italic><inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">rs</mml:mi></mml:msub></mml:math></inline-formula> values, as
well as in specific properties of the NN inversion scheme used to compute the
standard API2 values. It is noted that the MERIS NN scheme for API2 retrieval
is scoped for global applications in both Case 1 and optically complex
waters. This general applicability might limit the algorithm performance in
the presence of specific bio-optical relationships at the regional scale. An
example could be the upwelling along the coast of Portugal (Loureiro et al.,
2005; Goela et al., 2015).</p>
      <p>As a contribution to the forthcoming OLCI mission, the present work also
provides indications to enhance standard OLCI API2 results by including
additional training samples in the synthetic dataset used for the development
of the MERIS NN scheme. The overestimation of
<inline-formula><mml:math display="inline"><mml:mrow><mml:mi mathvariant="normal">TChl</mml:mi><mml:mspace width="0.25em" linebreak="nobreak"/><mml:msubsup><mml:mi>a</mml:mi><mml:mi mathvariant="normal">ABS</mml:mi><mml:mi mathvariant="normal">REF</mml:mi></mml:msubsup></mml:mrow></mml:math></inline-formula> in relation to
<inline-formula><mml:math display="inline"><mml:mrow><mml:mi mathvariant="normal">TChl</mml:mi><mml:mspace width="0.25em" linebreak="nobreak"/><mml:msubsup><mml:mi>a</mml:mi><mml:mi mathvariant="normal">HPLC</mml:mi><mml:mi mathvariant="normal">REF</mml:mi></mml:msubsup></mml:mrow></mml:math></inline-formula> has been identified in this
study as one of the reasons for the systematic difference observed in the
comparison of MER<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mi mathvariant="normal">API</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> with both in situ referred targets
(Fig. 2b).</p>
      <p>The regional MLP using in situ <italic>R</italic><inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">rs</mml:mi></mml:msub></mml:math></inline-formula> as input produced
highly accurate results (bias of 2 %), when relating
<italic>R</italic><inline-formula><mml:math display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mi mathvariant="normal">rs</mml:mi><mml:mi mathvariant="normal">SITU</mml:mi></mml:msubsup></mml:mrow></mml:math></inline-formula> to reference measurements of
<inline-formula><mml:math display="inline"><mml:mrow><mml:mi mathvariant="normal">TChl</mml:mi><mml:mspace linebreak="nobreak" width="0.25em"/><mml:msubsup><mml:mi>a</mml:mi><mml:mi mathvariant="normal">ABS</mml:mi><mml:mi mathvariant="normal">REF</mml:mi></mml:msubsup></mml:mrow></mml:math></inline-formula>. When MERIS
<italic>R</italic><inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">rs</mml:mi></mml:msub></mml:math></inline-formula> is used, the bias is slightly higher, probably due
to the uncertainties of the atmospheric correction (Cristina et al., 2014).
It is also reported that a cross-validation analysis performed by splitting
the in situ data into different subsets to develop and assess the regional MLP
documented an increase from 2 to 9 % of the bias (details not presented).
As observed for the standard NN inversion schemes, the performance of the
regional MLP could be enhanced through a better representation of the optical
properties of the study region: the collection of additional field
measurements is hence recommended. Another aspect that has been considered is
the reduction in bias when the training dataset was
<inline-formula><mml:math display="inline"><mml:mrow><mml:mi mathvariant="normal">TChl</mml:mi><mml:mspace linebreak="nobreak" width="0.25em"/><mml:msubsup><mml:mi>a</mml:mi><mml:mi mathvariant="normal">ABS</mml:mi><mml:mi mathvariant="normal">REF</mml:mi></mml:msubsup></mml:mrow></mml:math></inline-formula> estimated with
<italic>a</italic><inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">ph</mml:mi></mml:msub></mml:math></inline-formula> at 440 nm (7 % of bias). This indicates that
the specific selection of the wavelength of the maximum phytoplankton
absorption could allow for a better TChl <italic>a</italic> parameterization and
hence also lead to a more accurate regional MLP.</p>
      <p>The strong relationship between <italic>R</italic><inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">rs</mml:mi></mml:msub></mml:math></inline-formula> and the
phytoplankton coefficient of absorbance at 442 nm suggests the presence of
case 1 waters. The better agreement with
<inline-formula><mml:math display="inline"><mml:mrow><mml:mi mathvariant="normal">TChl</mml:mi><mml:mspace width="0.25em" linebreak="nobreak"/><mml:msubsup><mml:mi>a</mml:mi><mml:mi mathvariant="normal">ABS</mml:mi><mml:mi mathvariant="normal">REF</mml:mi></mml:msubsup></mml:mrow></mml:math></inline-formula> rather than with
<inline-formula><mml:math display="inline"><mml:mrow><mml:mi mathvariant="normal">TChl</mml:mi><mml:mspace width="0.25em" linebreak="nobreak"/><mml:msubsup><mml:mi>a</mml:mi><mml:mi mathvariant="normal">HPLC</mml:mi><mml:mi mathvariant="normal">REF</mml:mi></mml:msubsup></mml:mrow></mml:math></inline-formula> can be explained by
considering that the training of the neural net was performed
with <inline-formula><mml:math display="inline"><mml:mrow><mml:mi mathvariant="normal">TChl</mml:mi><mml:mspace linebreak="nobreak" width="0.25em"/><mml:msubsup><mml:mi>a</mml:mi><mml:mi mathvariant="normal">ABS</mml:mi><mml:mi mathvariant="normal">REF</mml:mi></mml:msubsup></mml:mrow></mml:math></inline-formula>. An additional
explanation could be that <inline-formula><mml:math display="inline"><mml:mrow><mml:mi mathvariant="normal">TChl</mml:mi><mml:mspace width="0.25em" linebreak="nobreak"/><mml:msubsup><mml:mi>a</mml:mi><mml:mi mathvariant="normal">ABS</mml:mi><mml:mi mathvariant="normal">REF</mml:mi></mml:msubsup></mml:mrow></mml:math></inline-formula> was
determined using <italic>a</italic><inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">ph</mml:mi></mml:msub></mml:math></inline-formula>(442), which is likely better
related to <italic>R</italic><inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">rs</mml:mi></mml:msub></mml:math></inline-formula> than
<inline-formula><mml:math display="inline"><mml:mrow><mml:mi mathvariant="normal">TChl</mml:mi><mml:mspace width="0.25em" linebreak="nobreak"/><mml:msubsup><mml:mi>a</mml:mi><mml:mi mathvariant="normal">HPLC</mml:mi><mml:mi mathvariant="normal">REF</mml:mi></mml:msubsup></mml:mrow></mml:math></inline-formula> (both
<italic>a</italic><inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">ph</mml:mi></mml:msub></mml:math></inline-formula>(442) and <italic>R</italic><inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">rs</mml:mi></mml:msub></mml:math></inline-formula> directly represent
optical properties). A caveat would, however, apply to this argument:
<inline-formula><mml:math display="inline"><mml:mrow><mml:mi mathvariant="normal">TChl</mml:mi><mml:mspace linebreak="nobreak" width="0.25em"/><mml:msubsup><mml:mi>a</mml:mi><mml:mi mathvariant="normal">HPLC</mml:mi><mml:mi mathvariant="normal">REF</mml:mi></mml:msubsup></mml:mrow></mml:math></inline-formula> is a direct measurement of
the TChl <italic>a</italic> concentration, whereas
<inline-formula><mml:math display="inline"><mml:mrow><mml:mi mathvariant="normal">TChl</mml:mi><mml:mspace linebreak="nobreak" width="0.25em"/><mml:msubsup><mml:mi>a</mml:mi><mml:mi mathvariant="normal">ABS</mml:mi><mml:mi mathvariant="normal">REF</mml:mi></mml:msubsup></mml:mrow></mml:math></inline-formula> is an indirect measurement
which has errors associated with the laboratory determination of
<italic>a</italic><inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">ph</mml:mi></mml:msub></mml:math></inline-formula>(442).</p>
      <p>It is also noted that the regional relationship between
<italic>a</italic><inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">ph</mml:mi></mml:msub></mml:math></inline-formula> at 442 nm and TChl <italic>a</italic> retrieved by HPLC is
close to that used in MER<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mi mathvariant="normal">API</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> (TChl <italic>a</italic><inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi/><mml:mi mathvariant="normal">MERIS</mml:mi></mml:msub><mml:mo>=</mml:mo><mml:mn>21</mml:mn></mml:mrow></mml:math></inline-formula> <italic>a</italic><inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">ph</mml:mi></mml:msub></mml:math></inline-formula>(442)<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mn>1.04</mml:mn></mml:msup></mml:math></inline-formula>, TChl <italic>a</italic><inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi/><mml:mi mathvariant="normal">SAGRES</mml:mi></mml:msub><mml:mo>=</mml:mo><mml:mn>27</mml:mn></mml:mrow></mml:math></inline-formula> <italic>a</italic><inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">ph</mml:mi></mml:msub></mml:math></inline-formula>(442)<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mn>1.13</mml:mn></mml:msup></mml:math></inline-formula>). However, the local relationship
between TChl <italic>a</italic> and <italic>a</italic><inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">ph</mml:mi></mml:msub></mml:math></inline-formula>(442) corresponds to a
coefficient of determination <italic>r</italic><inline-formula><mml:math display="inline"><mml:mrow><mml:msup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msup><mml:mo>=</mml:mo><mml:mn>0.8</mml:mn></mml:mrow></mml:math></inline-formula>. Hence, about
20 % of variability of TChl <italic>a</italic> is not related to
<italic>a</italic><inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">ph</mml:mi></mml:msub></mml:math></inline-formula>(442).</p>
      <p>The
ROI's data analysis indicates lower MERIS API2 values with respect to
equivalent results derived with the regional MLP, especially when the
TChl <italic>a</italic> concentration increases. This finding is in good agreement
with the matchup results, thereby highlighting the benefit of independent
comparison of product maps to qualitatively evaluate data products at an
early stage of ocean colour space missions (e.g. OLCI).</p>
</sec>
<sec id="Ch1.S5" sec-type="conclusions">
  <title>Conclusions</title>
      <p>The scope of this technical note was to analyse the MERIS standard API2
product in the southwestern coast of Portugal. A regional MLP algorithm to
retrieve TChl <italic>a</italic>, estimated through a phytoplankton absorption
coefficient, was implemented and applied for this purpose. This regional
algorithm produced good agreement with in situ data, hence indicating a high
accuracy of regional MLP products. The applicability of the regional MLP in
the study area was verified by a novelty detection scheme. With this
information, the study reports an underestimation tendency of
MER<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mi mathvariant="normal">API</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>, which is consistent with other European basins within
low ranges of this constituent. The results of the regional MLP were closer
to the in situ reference for API2 – TChl <italic>a</italic> estimated with
<italic>a</italic><inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">ph</mml:mi></mml:msub></mml:math></inline-formula>(442) – than to TChl <italic>a</italic> determined by HPLC.
This work also indicates that the use of a regional relationship between
phytoplankton absorption and pigment concentration is expected to improve the
accuracy of global ocean colour remote sensing products.</p>
      <p>This study has highlighted the usefulness of maintaining in situ measurement
programmes for validation purposes of ongoing ocean colour missions.
Moreover, it has also demonstrated the importance of developing regional
algorithms that not only complement standard approaches but that can also be
applied for the qualitative data assessments of new ocean colour missions in
the early stages of product map delivery (e.g. Sentinel-3).</p>
</sec>
<sec id="Ch1.S6">
  <title>Data availability</title>
      <p>The majority of the in situ data used in this work can be accessed through
the ESA MERIS MAtchup In-situ Database (<uri>http://mermaid.acri.fr/home/home.php</uri>),
and the MERIS satellite data can be accessed through the optical data
processor of ESA (<uri>http://www.odesa-info.eu/process_basic/basic.php</uri>).</p><?xmltex \hack{\clearpage}?>
</sec>

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

<app id="App1.Ch1.S1">
  <title>List of abbreviations</title>
      <p><table-wrap id="Taba" position="anchor"><oasis:table><oasis:tgroup cols="2">
     <oasis:colspec colnum="1" colname="col1" align="left"/>
     <oasis:colspec colnum="2" colname="col2" align="left"/>
     <oasis:tbody>
       <oasis:row>  
         <oasis:entry colname="col1">API1</oasis:entry>  
         <oasis:entry colname="col2">Algal Pigment Index 1</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">API2</oasis:entry>  
         <oasis:entry colname="col2">Algal Pigment Index 2</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">BEAM</oasis:entry>  
         <oasis:entry colname="col2">Basic ERS &amp; ENVISAT (A) ATSR and MERIS Toolbox</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">BOA</oasis:entry>  
         <oasis:entry colname="col2">Bottom-of-atmosphere</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">CDOM</oasis:entry>  
         <oasis:entry colname="col2">Coloured dissolved organic matter</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">Chl <italic>a</italic></oasis:entry>  
         <oasis:entry colname="col2">Chlorophyll <italic>a</italic></oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">EO</oasis:entry>  
         <oasis:entry colname="col2">Earth observation</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1"><italic>E</italic><inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi/><mml:mi mathvariant="normal">s</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></oasis:entry>  
         <oasis:entry colname="col2">Surface downwelling incident irradiance</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">HPLC</oasis:entry>  
         <oasis:entry colname="col2">High-performance liquid chromatography</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1"><italic>L</italic><inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi/><mml:mi mathvariant="normal">u</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></oasis:entry>  
         <oasis:entry colname="col2">Subsurface upwelling radiance</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1"><italic>L</italic><inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi/><mml:mi mathvariant="normal">w</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></oasis:entry>  
         <oasis:entry colname="col2">Water leaving radiance</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">MER<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mi mathvariant="normal">API</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col2">MERIS Algal Pigment Index 2 standard product</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">MERIS</oasis:entry>  
         <oasis:entry colname="col2">MEdium Resolution Image Spectrometer</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">MLP</oasis:entry>  
         <oasis:entry colname="col2">Multilayer perceptron</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">MLP(<italic>R</italic><inline-formula><mml:math display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mi mathvariant="normal">rs</mml:mi><mml:mi mathvariant="normal">MER</mml:mi></mml:msubsup></mml:mrow></mml:math></inline-formula>)</oasis:entry>  
         <oasis:entry colname="col2">Regional TChl <italic>a</italic> products computed using inversion schemes</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1"/>  
         <oasis:entry colname="col2">based on the MLP NN using standard MERIS BOA <italic>R</italic><inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">rs</mml:mi></mml:msub></mml:math></inline-formula></oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">MLP(<italic>R</italic><inline-formula><mml:math display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mi mathvariant="normal">rs</mml:mi><mml:mi mathvariant="normal">SITU</mml:mi></mml:msubsup></mml:mrow></mml:math></inline-formula>)</oasis:entry>  
         <oasis:entry colname="col2">Regional TChl <italic>a</italic> products computed using inversion schemes</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1"/>  
         <oasis:entry colname="col2">based on the MLP NN using in situ <italic>R</italic><inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">rs</mml:mi></mml:msub></mml:math></inline-formula></oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">NNs</oasis:entry>  
         <oasis:entry colname="col2">Neural nets</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1"><italic>N</italic><inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">tot</mml:mi></mml:msub></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col2">Number of total data points</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1"><italic>N</italic><inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">val</mml:mi></mml:msub></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col2">Number of valid data points</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">OLCI</oasis:entry>  
         <oasis:entry colname="col2">Ocean Land Colour Instrument</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">PCA</oasis:entry>  
         <oasis:entry colname="col2">Principal component analysis</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1"><italic>r</italic><inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col2">Coefficient of determination</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">ROIs</oasis:entry>  
         <oasis:entry colname="col2">Regions of interest</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1"><italic>R</italic><inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">rs</mml:mi></mml:msub></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col2">Remote sensing reflectances</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1"><italic>R</italic><inline-formula><mml:math display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mi mathvariant="normal">rs</mml:mi><mml:mi mathvariant="normal">MER</mml:mi></mml:msubsup></mml:mrow></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col2">Standard MERIS BOA <italic>R</italic><inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">rs</mml:mi></mml:msub></mml:math></inline-formula></oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1"><italic>R</italic><inline-formula><mml:math display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mi mathvariant="normal">rs</mml:mi><mml:mi mathvariant="normal">SITU</mml:mi></mml:msubsup></mml:mrow></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col2">In situ <italic>R</italic><inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">rs</mml:mi></mml:msub></mml:math></inline-formula></oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">TChl <italic>a</italic></oasis:entry>  
         <oasis:entry colname="col2">Total chlorophyll <italic>a</italic></oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1"><inline-formula><mml:math display="inline"><mml:mrow><mml:mi mathvariant="normal">TChl</mml:mi><mml:mspace linebreak="nobreak" width="0.25em"/><mml:msubsup><mml:mi>a</mml:mi><mml:mi mathvariant="normal">ABS</mml:mi><mml:mi mathvariant="normal">REF</mml:mi></mml:msubsup></mml:mrow></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col2">API2 in situ equivalent algal pigment index</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1"><inline-formula><mml:math display="inline"><mml:mrow><mml:mi mathvariant="normal">TChl</mml:mi><mml:mspace linebreak="nobreak" width="0.25em"/><mml:msubsup><mml:mi>a</mml:mi><mml:mi mathvariant="normal">HPLC</mml:mi><mml:mi mathvariant="normal">REF</mml:mi></mml:msubsup></mml:mrow></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col2">TChl <italic>a</italic> concentration (monovinyl Chl <italic>a</italic> <inline-formula><mml:math display="inline"><mml:mo>+</mml:mo></mml:math></inline-formula> divinyl Chl <italic>a</italic></oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1"/>  
         <oasis:entry colname="col2"><inline-formula><mml:math display="inline"><mml:mo>+</mml:mo></mml:math></inline-formula> chlorophyllide <italic>a</italic> <inline-formula><mml:math display="inline"><mml:mo>+</mml:mo></mml:math></inline-formula> phaeopigments) determined by HPLC</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1"><inline-formula><mml:math display="inline"><mml:mi mathvariant="italic">δ</mml:mi></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col2">Signed percent differences</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1"><inline-formula><mml:math display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mo>∗</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col2">Signed unbiased percent differences</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1"><inline-formula><mml:math display="inline"><mml:mi mathvariant="italic">ε</mml:mi></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col2">Absolute percent differences</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1"><inline-formula><mml:math display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">ε</mml:mi><mml:mo>∗</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col2">Absolute unbiased percent differences</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1"><inline-formula><mml:math display="inline"><mml:mi mathvariant="italic">η</mml:mi></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col2">Novelty index</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1"><inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">ρ</mml:mi><mml:mi mathvariant="normal">N</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col2">Normalized water leaving reflectance</oasis:entry>
       </oasis:row>
     </oasis:tbody>
   </oasis:tgroup></oasis:table></table-wrap></p><?xmltex \hack{\clearpage}?>
</app>
  </app-group><ack><title>Acknowledgements</title><p>The authors thank Davide D'Alimonte for his contribution to the MLP NN
algorithm development and
training, and for wise advice both on the methodology
design and in the interpretation of the results. This work was supported in
part by the European Space Agency (ESA) for the “Technical Assistance for
the Validation of MERIS Marine Products at Portuguese oceanic and coastal
sites” (contract no. 21464/08/I-O) and “MERIS validation and algorithm 4th
reprocessing” (contract no. ARG/003-025/14067Sagremarisco and
ARG/003-025-1406/CIMA). Priscila Costa Goela and Sónia Cristina were
funded by PhD grants from the Portuguese FCT (SFRH/BD/78356/2011 and
SFRH/BD/78354/2011, respectively); Alice Newton was funded by EU FP7 project
DEVOTES (grant no. 308392); John Icely is funded by EU FP7 AQUA-USER (grant no. 607325)
and Horizon 2020 AquaSpace (grant no. 633476).<?xmltex \hack{\\\\}?>
Edited by: E. J. M. Delhez <?xmltex \hack{\\}?>
Reviewed by: V. Suslin and one anonymous referee</p></ack><ref-list>
    <title>References</title>

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    </app></app-group></back>
    <!--<article-title-html>Technical note: Algal Pigment Index 2 in the Atlantic off the southwest Iberian Peninsula: standard and regional algorithms</article-title-html>
<abstract-html><p class="p">In this study, Algal Pigment Index 2 (API2) is investigated in Sagres, an
area located in the Atlantic off the southwestern Iberian Peninsula. Standard
results provided by the MEdium Resolution Image Spectrometer (MERIS) ocean colour
sensor were compared with alternative data products, determined through a
regional inversion scheme, using both MERIS and in situ remote sensing
reflectances (<i>R</i><sub>rs</sub>) as input data. The reference quantity
for performance assessment is in situ total chlorophyll <i>a</i>
(TChl <i>a</i>) concentration estimated through a phytoplankton absorption
coefficient (i.e. equivalent to API2). Additional comparison of data
products has also been addressed for TChl <i>a</i> concentration determined
by high-performance liquid chromatography. The MERIS matchup analysis
revealed a systematic underestimation of TChl <i>a</i>, which was confirmed
with an independent comparison of product map analysis. The study
demonstrates the importance of regional algorithms for the study area that
could complement upcoming standard results of the current Sentinel-3/OLCI
space mission.</p></abstract-html>
<ref-html id="bib1.bib1"><label>1</label><mixed-citation>
Bishop, C. M.: Novelty detection and neural network validation, IEE P-Vis Image Sign., 141, 217–222,
<a href="http://dx.doi.org/10.1049/ip-vis:19941330" target="_blank">doi:10.1049/ip-vis:19941330</a>, 1994.
</mixed-citation></ref-html>
<ref-html id="bib1.bib2"><label>2</label><mixed-citation>
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temperature in the Mediterranean basin, Intercomparison of data from various
satellite sensors, and implications for primary production estimates, Remote Sens. Environ., 81, 163–178, 2002.
</mixed-citation></ref-html>
<ref-html id="bib1.bib3"><label>3</label><mixed-citation>
Cristina, S., Moore, G., Goela, P. C., Icely, J., and Newton, A.: In situ
validation of MERIS marine reflectance off the southwest Iberian Peninsula:
assessment of vicarious adjustment and corrections for near-land adjacency,
Int. J. Remote Sens., 35, 2347–2377,
<a href="http://dx.doi.org/10.1080/01431161.2014.894657" target="_blank">doi:10.1080/01431161.2014.894657</a>,
2014.
</mixed-citation></ref-html>
<ref-html id="bib1.bib4"><label>4</label><mixed-citation>
Cristina, S., Icely, J., Goela, P., DelValls, T., and Newton, A.: Using
remote sensing as a support to the implementation of the European Marine
Strategy Framework Directive in SW Portugal, Cont. Shelf Res., 108,
169–177, <a href="http://dx.doi.org/10.1016/j.csr.2015.03.011" target="_blank">doi:10.1016/j.csr.2015.03.011</a>, 2015.
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