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<front>
<journal-meta>
<journal-id journal-id-type="publisher-id">Front. Mar. Sci.</journal-id>
<journal-title-group>
<journal-title>Frontiers in Marine Science</journal-title>
<abbrev-journal-title abbrev-type="pubmed">Front. Mar. Sci.</abbrev-journal-title>
</journal-title-group>
<issn pub-type="epub">2296-7745</issn>
<publisher>
<publisher-name>Frontiers Media S.A.</publisher-name>
</publisher>
</journal-meta>
<article-meta>
<article-id pub-id-type="doi">10.3389/fmars.2025.1528489</article-id>
<article-version article-version-type="Version of Record" vocab="NISO-RP-8-2008"/>
<article-categories>
<subj-group subj-group-type="heading">
<subject>Original Research</subject>
</subj-group>
</article-categories>
<title-group>
<article-title>Physical drivers and reconstruction of the interannual variability of satellite-derived chlorophyll-<italic>a</italic> in key regions of the tropical and south Atlantic</article-title>
</title-group>
<contrib-group>
<contrib contrib-type="author" corresp="yes">
<name><surname>Rivas</surname><given-names>David</given-names></name>
<xref ref-type="aff" rid="aff1"><sup>1</sup></xref>
<xref ref-type="aff" rid="aff2"><sup>2</sup></xref>
<xref ref-type="corresp" rid="c001"><sup>*</sup></xref>
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<contrib contrib-type="author">
<name><surname>Fransner</surname><given-names>Filippa</given-names></name>
<xref ref-type="aff" rid="aff1"><sup>1</sup></xref>
<uri xlink:href="https://loop.frontiersin.org/people/801354/overview"/>
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</contrib>
<contrib contrib-type="author">
<name><surname>Koseki</surname><given-names>Shunya</given-names></name>
<xref ref-type="aff" rid="aff1"><sup>1</sup></xref>
<uri xlink:href="https://loop.frontiersin.org/people/2896391/overview"/>
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</contrib>
<contrib contrib-type="author">
<name><surname>Keenlyside</surname><given-names>Noel</given-names></name>
<xref ref-type="aff" rid="aff1"><sup>1</sup></xref>
<xref ref-type="aff" rid="aff3"><sup>3</sup></xref>
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<aff id="aff1"><label>1</label><institution>Geophysical Institute, University of Bergen, and Bjerknes Centre for Climate Research</institution>, <city>Bergen</city>,&#xa0;<country country="no">Norway</country></aff>
<aff id="aff2"><label>2</label><institution>Departamento de Oceanograf&#xed;a Biol&#xf3;gica, Centro de Investigaci&#xf3;n Cient&#xed;fica y de Educaci&#xf3;n Superior de Ensenada (CICESE)</institution>, <city>Ensenada</city>,&#xa0;<country country="mx">Mexico</country></aff>
<aff id="aff3"><label>3</label><institution>Nansen Environment and Remote Sensing Centre</institution>, <city>Bergen</city>,&#xa0;<country country="no">Norway</country></aff>
<author-notes>
<corresp id="c001"><label>*</label>Correspondence: David Rivas, <email xlink:href="mailto:drivas@cicese.mx">drivas@cicese.mx</email></corresp>
</author-notes>
<pub-date publication-format="electronic" date-type="pub" iso-8601-date="2025-09-26">
<day>26</day>
<month>09</month>
<year>2025</year>
</pub-date>
<pub-date publication-format="electronic" date-type="collection">
<year>2025</year>
</pub-date>
<volume>12</volume>
<elocation-id>1528489</elocation-id>
<history>
<date date-type="received">
<day>14</day>
<month>11</month>
<year>2024</year>
</date>
<date date-type="accepted">
<day>02</day>
<month>09</month>
<year>2025</year>
</date>
</history>
<permissions>
<copyright-statement>Copyright &#xa9; 2025 Rivas, Fransner, Koseki and Keenlyside.</copyright-statement>
<copyright-year>2025</copyright-year>
<copyright-holder>Rivas, Fransner, Koseki and Keenlyside</copyright-holder>
<license>
<ali:license_ref start_date="2025-09-26">https://creativecommons.org/licenses/by/4.0/</ali:license_ref>
<license-p>This is an open-access article distributed under the terms of the <ext-link ext-link-type="uri" xlink:href="https://creativecommons.org/licenses/by/4.0/">Creative Commons Attribution License (CC BY)</ext-link>. The use, distribution or reproduction in other forums is permitted, provided the original author(s) and the copyright owner(s) are credited and that the original publication in this journal is cited, in accordance with accepted academic practice. No use, distribution or reproduction is permitted which does not comply with these terms.</license-p>
</license>
</permissions>
<abstract>
<p>Understanding drivers of variability in oceanic primary productivity is essential to increase our understanding of the functioning of marine ecosystems and biogeochemical cycles. Here, interannual variability of satellite-derived chlorophyll-<italic>a</italic> (CHL) and its underlying oceanographic processes are analyzed in six coastal regions of the tropical and south Atlantic. Along the South American coast, sea-surface height (SSH) and alongshore velocity, proxies for surface flows, were identified as the main drivers. Along the African coast, variations in sea-surface temperature (SST) and SSH related to coastal upwelling, were the dominant drivers. Important links to the Tropical Southern Atlantic, Dipole Mode Index, Western Hemisphere Warm Pool, and Southern Oscillation Index indices were identified, indicating potential role of teleconnections in the CHL-variability. The identified driver-linked variables were used to reconstruct the regional CHL series using multi-linear regressions and a neural-network model. The multi-linear models were able to reproduce significant fractions of the observed CHL variance. In particular, a model based on eigenvalues from an empirical orthogonal function decomposition of SST, outperformed the others. The neural-network model shows the highest performance reproducing most of the CHL variance (<italic>&gt;</italic> 70%), but it presents difficulty to deduce the relative importance of individual drivers. Beyond this fitting/training period, the multi-linear model show better results respect to the neural-network model, especially that based on oceanographic variables. These CHL-reconstruction models present the possibility to reproduce CHL in periods when its observation is unavailable and even to predict it in multi-year climate projections.</p>
</abstract>
<kwd-group>
<kwd>chlorophyll-a interannual variability</kwd>
<kwd>satellite and reanalysis products</kwd>
<kwd>teleconnection indices</kwd>
<kwd>correlation analysis</kwd>
<kwd>regional biogeochemistry</kwd>
</kwd-group>
<funding-group>
<funding-statement>The author(s) declare financial support was received for the research and/or publication of this article. This research was supported by the European Union&#x2019;s Horizon 2020 research and innovation programme under grant agreement No 817578 (TRIATLAS). DR was also supported by CICESE&#x2019;s internal project 625118 during the last stage of the preparation of this manuscript, as part of CICESE&#x2019;s Laboratorio de Modelos F&#xed;sico-Biol&#xf3;gicos.</funding-statement>
</funding-group>
<counts>
<fig-count count="9"/>
<table-count count="3"/>
<equation-count count="0"/>
<ref-count count="102"/>
<page-count count="18"/>
<word-count count="9894"/>
</counts>
<custom-meta-group>
<custom-meta>
<meta-name>section-in-acceptance</meta-name>
<meta-value>Ocean Observation</meta-value>
</custom-meta>
</custom-meta-group>
</article-meta>
</front>
<body>
<sec id="s1" sec-type="intro">
<label>1</label>
<title>Introduction</title>
<p>The tropical and south Atlantic encompasses diverse oceanic regions of great ecological and socioeconomic importance. Commonly referred to as North, East and South Brazil and Patagonian Shelves, and Canary, Guinea and Benguela Currents, these regions are part of the so-called Atlantic Large Marine Ecosystems (<italic>e.g.</italic>, <xref ref-type="bibr" rid="B53">Kessler et&#xa0;al., 2022</xref>). These ecosystems are generally characterized by high primary productivity and fisheries (<xref ref-type="bibr" rid="B53">Kessler et&#xa0;al., 2022</xref>), hence understanding their environmental variability is crucial to design measures for their protection and adaptation under extreme scenarios. Ocean biogeochemistry plays a determinant role on those ecosystems by sustaining plankton communities which are the base for the marine food web. Understanding the physical drivers that modulate the biogeochemical conditions in tropical/south Atlantic coastal regions has been the focus of diverse studies, normally using either primary productivity or chlorophyll-<italic>a</italic> (CHL) as a proxy for the phytoplankton biomass. These studies have shown relations between the biological production and diverse physical factors such as the large-scale circulation (<xref ref-type="bibr" rid="B14">Carr and Kearns, 2003</xref>), the combined effects of Ekman transport and shelf width (<xref ref-type="bibr" rid="B75">Patti et&#xa0;al., 2008</xref>), surface horizontal stirring and mixing (<xref ref-type="bibr" rid="B85">Rossi et&#xa0;al., 2008</xref>), mesoscale eddy activity (<xref ref-type="bibr" rid="B37">Gruber et&#xa0;al., 2011</xref>), and dust deposition (<xref ref-type="bibr" rid="B73">Ohde and Siegel, 2010</xref>). A more recent study analyzed the physical-biogeochemical drivers of the seasonal and spatial variability of primary productivity in the four Eastern Boundary Upwelling Systems, using mostly satellite and reanalysis products, and found that macronutrient supply and light limitation are the dominant drivers off Northwest Africa and Benguela, with evidence of iron limitation (<xref ref-type="bibr" rid="B67">Messi&#xe9; and Chavez, 2015</xref>).</p>
<p>CHL is the most common proxy for the biological production in the world ocean, and satellite sensors have been of paramount importance to provide information about this variable. Although the available satellite products have a wide spatio-temporal coverage of the CHL, these products still present limitations that prevent them from providing a complete coverage over the world ocean, in addition to the relatively short time span (usually from the late 1990&#x2019;s). To mitigate this issue, there have been efforts to estimate the CHL by empirical methods from diverse oceanographic data. For example, long-term CHL changes were estimated using generalized additive models from historical shipboard oceanographic measurements, showing that the average CHL concentrations have declined across the majority of the global ocean area over the past century (<xref ref-type="bibr" rid="B12">Boyce et&#xa0;al., 2014</xref>). On the other hand, a machine learning approach was used to reconstruct global spatio-temporal CHL variability from numerically-modeled surface oceanic and atmospheric physical parameters, which skillfully reproduced some aspects (<italic>e.g.</italic>, El Ni&#xf1;o) of the satellite-observed CHL variability and trends (<xref ref-type="bibr" rid="B63">Martinez et&#xa0;al., 2020a</xref>, <xref ref-type="bibr" rid="B64">b</xref>).</p>
<p>The purpose of this paper is to identify the leading dynamical factors that drive the interannual variability of satellite-derived CHL in six coastal regions of the tropical Atlantic (south and north of the Equator) and the south Atlantic, three on the South American coast and three on the African coast. For this task, a correlation analysis of a comprehensive observational dataset (satellite and reanalysis data) is carried out, which allows the assessment of the relative importance of individual drivers on the regional CHL and the associated teleconnection patterns. These results are used to implement empirical models to reconstruct the regional CHL series, based on linear regressions of the identified driver-linked variables and of empirical-orthogonal-function (EOF) modes of sea-surface temperature (SST), as well as a reference non-linear approach based on neural networks. The goal of these simplified models is not just to estimate the satellite-observed CHL series but also provide a method which allows the elucidation of the main drivers involved in the observed CHL variability.</p>
<p>The rest of the paper is organized as follows. Section 2 defines the six coastal regions focus of our study and provides a description of the analyzed datasets and the methods used in the analysis, including the correlation assessment and the CHL-reconstruction approaches. Section 3 describes the results of this study, including the regional physical drivers and the associated large-scale teleconnection patterns, as well as the reconstructed CHL series. Section 4 discusses some implications of these results. Finally, Section 5 summarizes the main results of this work.</p>
</sec>
<sec id="s2">
<label>2</label>
<title>Methods</title>
<sec id="s2_1">
<label>2.1</label>
<title>Study area</title>
<p>The study area consists of six coastal regions located in the tropical and south Atlantic, three along the South American eastern coast and three along the African western coast (<xref ref-type="fig" rid="f1"><bold>Figure&#xa0;1</bold></xref>). Regions 1 to 4 are located within the tropical band, while Regions 5 and 6 are located roughly south of the Tropic of Capricorn. These regions are mostly characterized by important levels of CHL (<xref ref-type="fig" rid="f1"><bold>Figure&#xa0;1</bold></xref>) and they have a high ecological and socioeconomical (fisheries, tourism, etc.) importance. As will be shown below, these regions present a vigorous interannual variability of CHL affected by diverse oceanographic processes, either at local- or basin-scale, which are different between each other.</p>
<fig id="f1" position="float">
<label>Figure&#xa0;1</label>
<caption>
<p>Definition of the six coastal regions (labeled by purple numbers) at the tropical and south Atlantic analyzed in this paper. Background color corresponds to the long-term mean of satellite-derived chlorophyll-<italic>a</italic> (CHL) for the 1998&#x2013;2021 period. Mean &#xb1; standard deviation of spatially-averaged CHL are shown for each region. Vectors indicate the along-shore (blue) and cross-shore (red) directions in each region.</p>
</caption>
<graphic mimetype="image" mime-subtype="tiff" xlink:href="fmars-12-1528489-g001.tif">
<alt-text content-type="machine-generated">Map showing chlorophyll concentration in the equatorial Atlantic with six numbered regions marked by red rectangles and annotated arrows. Chlorophyll values range from 0.09 to 1.91 mg/m&#xb3;. Color gradient from low (yellow) to high (green) concentrations.</alt-text>
</graphic>
</fig>
</sec>
<sec id="s2_2">
<label>2.2</label>
<title>Analytical approach</title>
<p>In each region, monthly mean time series of spatially-averaged satellite-derived CHL is correlated with 1) 23 spatially-averaged physical variables obtained from oceanic and atmospheric gridded products (<xref ref-type="table" rid="T1"><bold>Table&#xa0;1</bold></xref>), 2) 14 teleconnection climatic indices (<xref ref-type="table" rid="T2"><bold>Table&#xa0;2</bold></xref>), to elucidate the physical drivers of the regional biogeochemical characteristics. The analysis period is from January 1998 to December 2021 (24 years). A monthly climatology (1998&#x2013;2021 period) was subtracted from each data series to produce monthly anomalies and hence focus on interannual variations.</p>
<table-wrap id="T1" position="float">
<label>Table&#xa0;1</label>
<caption>
<p>Oceanographic variables included in the analysis (Section 2.2).</p>
</caption>
<table frame="hsides">
<thead>
<tr>
<th valign="middle" align="center">Abbreviation</th>
<th valign="middle" align="center">Description</th>
<th valign="middle" align="center">Units</th>
<th valign="middle" align="center">Source</th>
<th valign="middle" align="center">Processing</th>
<th valign="middle" align="center">Reference</th>
</tr>
</thead>
<tbody>
<tr>
<td valign="middle" align="center">CHL</td>
<td valign="middle" align="center">Chlorophyll-<italic>a</italic></td>
<td valign="middle" align="center">mg m<sup>&#x2013;3</sup></td>
<td valign="middle" align="center">Copernicus</td>
<td valign="middle" align="center">Original</td>
<td valign="middle" align="center"><xref ref-type="bibr" rid="B33">Garnesson et&#xa0;al. (2019)</xref></td>
</tr>
<tr>
<td valign="middle" align="center">MLD</td>
<td valign="middle" align="center">Mixed-layer depth</td>
<td valign="middle" align="center">m</td>
<td valign="middle" align="center">Copernicus</td>
<td valign="middle" align="center">Original</td>
<td valign="middle" align="center"><xref ref-type="bibr" rid="B38">Guinehut et&#xa0;al. (2012)</xref></td>
</tr>
<tr>
<td valign="middle" align="center">SST</td>
<td valign="middle" align="center">Sea surface temperature</td>
<td valign="middle" align="center">&#xb0;C</td>
<td valign="middle" align="center">MODIS/AVHRR</td>
<td valign="middle" align="center">Merged</td>
<td valign="middle" align="center"><xref ref-type="bibr" rid="B54">Kilpatrick et&#xa0;al. (2001)</xref>; <xref ref-type="bibr" rid="B55">Kilpatrick et&#xa0;al. (2015)</xref></td>
</tr>
<tr>
<td valign="middle" align="center">So</td>
<td valign="middle" align="center">Salinity</td>
<td valign="middle" align="center">psu</td>
<td valign="middle" align="center">GODAS</td>
<td valign="middle" align="center">Original</td>
<td valign="middle" align="center"><xref ref-type="bibr" rid="B44">Huang et&#xa0;al., 2008</xref>; <xref ref-type="bibr" rid="B79">Ravichandran et&#xa0;al., 2013</xref></td>
</tr>
<tr>
<td valign="middle" align="center">Uo</td>
<td valign="middle" align="center">Cross-shore water velocity</td>
<td valign="middle" align="center">m s<sup>&#x2013;1</sup></td>
<td valign="middle" align="center">GODAS</td>
<td valign="middle" align="center">Redirected</td>
<td valign="middle" align="center">&#x201c;</td>
</tr>
<tr>
<td valign="middle" align="center">Vo</td>
<td valign="middle" align="center">Along-shore water velocity</td>
<td valign="middle" align="center">m s<sup>&#x2013;1</sup></td>
<td valign="middle" align="center">GODAS</td>
<td valign="middle" align="center">Redirected</td>
<td valign="middle" align="center">&#x201c;</td>
</tr>
<tr>
<td valign="middle" align="center">VORo</td>
<td valign="middle" align="center">Water curl</td>
<td valign="middle" align="center">s<sup>&#x2013;1</sup></td>
<td valign="middle" align="center">GODAS</td>
<td valign="middle" align="center">Calculated</td>
<td valign="middle" align="center">&#x201c;</td>
</tr>
<tr>
<td valign="middle" align="center">DIVo</td>
<td valign="middle" align="center">Water divergence</td>
<td valign="middle" align="center">s<sup>&#x2013;1</sup></td>
<td valign="middle" align="center">GODAS</td>
<td valign="middle" align="center">Calculated</td>
<td valign="middle" align="center">&#x201c;</td>
</tr>
<tr>
<td valign="middle" align="center">SWR</td>
<td valign="middle" align="center">Net shortwave irradiance</td>
<td valign="middle" align="center">W m<sup>&#x2013;2</sup></td>
<td valign="middle" align="center">ERA5</td>
<td valign="middle" align="center">Original</td>
<td valign="middle" align="center"><xref ref-type="bibr" rid="B42">Hersbach et&#xa0;al. (2020)</xref></td>
</tr>
<tr>
<td valign="middle" align="center">PRS</td>
<td valign="middle" align="center">Surface pressure</td>
<td valign="middle" align="center">hPa</td>
<td valign="middle" align="center">ERA5</td>
<td valign="middle" align="center">Original</td>
<td valign="middle" align="center">&#x201c;</td>
</tr>
<tr>
<td valign="middle" align="center">TPR</td>
<td valign="middle" align="center">Total precipitation rate</td>
<td valign="middle" align="center">kg m<sup>&#x2013;2</sup> s<sup>&#x2013;1</sup></td>
<td valign="middle" align="center">ERA5</td>
<td valign="middle" align="center">Original</td>
<td valign="middle" align="center">&#x201c;</td>
</tr>
<tr>
<td valign="middle" align="center">Tx</td>
<td valign="middle" align="center">Cross-shore wind stress</td>
<td valign="middle" align="center">Pa</td>
<td valign="middle" align="center">ERA5</td>
<td valign="middle" align="center">Calculated</td>
<td valign="middle" align="center">&#x201c;</td>
</tr>
<tr>
<td valign="middle" align="center">Ty</td>
<td valign="middle" align="center">Along-shore wind stress</td>
<td valign="middle" align="center">Pa</td>
<td valign="middle" align="center">ERA5</td>
<td valign="middle" align="center">Calculated</td>
<td valign="middle" align="center">&#x201c;</td>
</tr>
<tr>
<td valign="middle" align="center">Stx</td>
<td valign="middle" align="center">Cross-shore wind-stress SD</td>
<td valign="middle" align="center">Pa</td>
<td valign="middle" align="center">ERA5</td>
<td valign="middle" align="center">Calculated</td>
<td valign="middle" align="center">&#x201c;</td>
</tr>
<tr>
<td valign="middle" align="center">Sty</td>
<td valign="middle" align="center">Along-shore wind-stress SD</td>
<td valign="middle" align="center">Pa</td>
<td valign="middle" align="center">ERA5</td>
<td valign="middle" align="center">Calculated</td>
<td valign="middle" align="center">&#x201c;</td>
</tr>
<tr>
<td valign="middle" align="center">CRLw</td>
<td valign="middle" align="center">Wind-stress curl</td>
<td valign="middle" align="center">Pa m<sup>&#x2013;1</sup></td>
<td valign="middle" align="center">ERA5</td>
<td valign="middle" align="center">Calculated</td>
<td valign="middle" align="center">&#x201c;</td>
</tr>
<tr>
<td valign="middle" align="center">DIVw</td>
<td valign="middle" align="center">Wind-stress divergence</td>
<td valign="middle" align="center">Pa m<sup>&#x2013;1</sup></td>
<td valign="middle" align="center">ERA5</td>
<td valign="middle" align="center">Calculated</td>
<td valign="middle" align="center">&#x201c;</td>
</tr>
<tr>
<td valign="middle" align="center">SSH</td>
<td valign="middle" align="center">Sea surface height</td>
<td valign="middle" align="center">m</td>
<td valign="middle" align="center">AVISO</td>
<td valign="middle" align="center">Original</td>
<td valign="middle" align="center"><xref ref-type="bibr" rid="B89">S&#xe1;nchez-Rom&#xe1;n et&#xa0;al. (2023)</xref></td>
</tr>
<tr>
<td valign="middle" align="center">Sssh</td>
<td valign="middle" align="center">Sea-surface-height SD</td>
<td valign="middle" align="center">m</td>
<td valign="middle" align="center">AVISO</td>
<td valign="middle" align="center">Calculated</td>
<td valign="middle" align="center">&#x201c;</td>
</tr>
<tr>
<td valign="middle" align="center">Ug</td>
<td valign="middle" align="center">Cross-shore geostrophic water-velocity</td>
<td valign="middle" align="center">m s<sup>&#x2013;1</sup></td>
<td valign="middle" align="center">AVISO</td>
<td valign="middle" align="center">Redirected</td>
<td valign="middle" align="center">&#x201c;</td>
</tr>
<tr>
<td valign="middle" align="center">Vg</td>
<td valign="middle" align="center">Along-shore geostrophic water-velocity</td>
<td valign="middle" align="center">m s<sup>&#x2013;1</sup></td>
<td valign="middle" align="center">AVISO</td>
<td valign="middle" align="center">Redirected</td>
<td valign="middle" align="center">&#x201c;</td>
</tr>
<tr>
<td valign="middle" align="center">VORg</td>
<td valign="middle" align="center">Water vorticity (geostrophic)</td>
<td valign="middle" align="center">s<sup>&#x2013;1</sup></td>
<td valign="middle" align="center">AVISO</td>
<td valign="middle" align="center">Calculated</td>
<td valign="middle" align="center">&#x201c;</td>
</tr>
<tr>
<td valign="middle" align="center">EKE</td>
<td valign="middle" align="center">Eddy kinetic energy (geostrophic)</td>
<td valign="middle" align="center">m<sup>2</sup> s<sup>&#x2013;2</sup></td>
<td valign="middle" align="center">AVISO</td>
<td valign="middle" align="center">Calculated</td>
<td valign="middle" align="center">&#x201c;</td>
</tr>
<tr>
<td valign="middle" align="center">Q</td>
<td valign="middle" align="center">Okubo-Weiss parameter (geostrophic)</td>
<td valign="middle" align="center">s<sup>&#x2013;2</sup></td>
<td valign="middle" align="center">AVISO</td>
<td valign="middle" align="center">Calculated</td>
<td valign="middle" align="center">&#x201c;</td>
</tr>
</tbody>
</table>
<table-wrap-foot>
<fn>
<p>This list includes variables taken directly from their sources (&#x201c;Original&#x201d;), one consisting of two merged products (&#x201c;Merged&#x201d;), those subsequently calculated from the original (&#x201c;Calculated&#x201d;), and vector variables that were projected onto the along- and cross-shore directions (&#x201c;Redirected&#x201d;). In some cases, the monthly standard deviation (SD) is considered. The last column shows relevant references about the original data product.</p></fn>
</table-wrap-foot>
</table-wrap>
<table-wrap id="T2" position="float">
<label>Table&#xa0;2</label>
<caption>
<p>Climate indices included in the analysis (Section 2.2) and relevant references.</p>
</caption>
<table frame="hsides">
<thead>
<tr>
<th valign="middle" align="center">Acronym</th>
<th valign="middle" align="center">Name</th>
<th valign="middle" align="center">Reference</th>
</tr>
</thead>
<tbody>
<tr>
<td valign="middle" align="center">AO</td>
<td valign="middle" align="center">Arctic Oscillation</td>
<td valign="middle" align="center"><xref ref-type="bibr" rid="B94">Thompson and Wallace (1998)</xref></td>
</tr>
<tr>
<td valign="middle" align="center">AAO</td>
<td valign="middle" align="center">Antarctic Oscillation</td>
<td valign="middle" align="center"><xref ref-type="bibr" rid="B36">Gong and Wang (1999)</xref></td>
</tr>
<tr>
<td valign="middle" align="center">AMM</td>
<td valign="middle" align="center">Atlantic Meridional Mode</td>
<td valign="middle" align="center"><xref ref-type="bibr" rid="B16">Chiang and Vimont (2004)</xref></td>
</tr>
<tr>
<td valign="middle" align="center">AMO</td>
<td valign="middle" align="center">Atlantic Multidecadal Oscillation (unsmoothed)</td>
<td valign="middle" align="center"><xref ref-type="bibr" rid="B26">Enfield et&#xa0;al. (2001)</xref></td>
</tr>
<tr>
<td valign="middle" align="center">DMI</td>
<td valign="middle" align="center">Dipole Mode Index</td>
<td valign="middle" align="center"><xref ref-type="bibr" rid="B87">Saji et&#xa0;al. (1999)</xref>; <xref ref-type="bibr" rid="B88">Saji and Yamagata (2003)</xref></td>
</tr>
<tr>
<td valign="middle" align="center">EAWR</td>
<td valign="middle" align="center">Eastern Atlantic/Western Russia</td>
<td valign="middle" align="center"><xref ref-type="bibr" rid="B9">Barnston and Livezey (1987)</xref>; <xref ref-type="bibr" rid="B59">Lim (2015)</xref></td>
</tr>
<tr>
<td valign="middle" align="center">FQI</td>
<td valign="middle" align="center">NE Brazil Rainfall Anomaly (Fortaleza-Quixeramobim Index)</td>
<td valign="middle" align="center"><xref ref-type="bibr" rid="B27">Folland et&#xa0;al. (2001)</xref></td>
</tr>
<tr>
<td valign="middle" align="center">NAO0</td>
<td valign="middle" align="center">North Atlantic Oscillation</td>
<td valign="middle" align="center"><xref ref-type="bibr" rid="B9">Barnston and Livezey (1987)</xref></td>
</tr>
<tr>
<td valign="middle" align="center">NAO</td>
<td valign="middle" align="center">North Atlantic Oscillation (Jones)</td>
<td valign="middle" align="center"><xref ref-type="bibr" rid="B52">Jones et&#xa0;al. (1998)</xref></td>
</tr>
<tr>
<td valign="middle" align="center">QBO</td>
<td valign="middle" align="center">Quasi-Biennial Oscillation</td>
<td valign="middle" align="center"><xref ref-type="bibr" rid="B8">Baldwin et&#xa0;al. (2001)</xref></td>
</tr>
<tr>
<td valign="middle" align="center">SOI</td>
<td valign="middle" align="center">Southern Oscillation Index</td>
<td valign="middle" align="center"><xref ref-type="bibr" rid="B1">Allan et&#xa0;al. (1991)</xref></td>
</tr>
<tr>
<td valign="middle" align="center">TNA</td>
<td valign="middle" align="center">Tropical Northern Atlantic Index</td>
<td valign="middle" align="center"><xref ref-type="bibr" rid="B25">Enfield et&#xa0;al. (1999)</xref></td>
</tr>
<tr>
<td valign="middle" align="center">TSA</td>
<td valign="middle" align="center">Tropical Southern Atlantic Index</td>
<td valign="middle" align="center"><xref ref-type="bibr" rid="B25">Enfield et&#xa0;al. (1999)</xref></td>
</tr>
<tr>
<td valign="middle" align="center">WHWP</td>
<td valign="middle" align="center">Western Hemisphere Warm Pool</td>
<td valign="middle" align="center"><xref ref-type="bibr" rid="B101">Wang and Enfield (2001)</xref></td>
</tr>
</tbody>
</table>
</table-wrap>
<p>The selected CHL dataset is a Level-4 gridded product by Copernicus Marine Environmental Monitoring Service (CMEMS, <ext-link ext-link-type="uri" xlink:href="https://marine.copernicus.eu/">https://marine.copernicus.eu/</ext-link>). The other oceanographic variables were taken from different data sources, some of them taken directly from the source while the other resulted from a post-processing carried out for this analysis (<xref ref-type="table" rid="T1"><bold>Table&#xa0;1</bold></xref>). The large-scale teleconnection indices were mostly provided by the National Oceanic and Atmospheric Administration (NOAA) - Physical Science Laboratory (PSL; <ext-link ext-link-type="uri" xlink:href="https://psl.noaa.gov/data/climateindices/list/">https://psl.noaa.gov/data/climateindices/list/</ext-link>); only those indices directly associated with, or with known effects on, the Atlantic were selected. For details about all these variables and indices, see <xref ref-type="supplementary-material" rid="SM1"><bold>Supplementary Section S1</bold></xref>.</p>
<p>Then, in order to identify the dynamical factors that affect the CHL variability, a mechanistic-oriented correlation analysis was carried out for each region (for details, see <xref ref-type="supplementary-material" rid="SM1"><bold>Supplementary Section S2</bold></xref>). This analysis consisted of 3 steps (<xref ref-type="fig" rid="f2"><bold>Figure&#xa0;2A</bold></xref>): 1) correlating the CHL series whith those of the potential drivers, either the oceanographic variables (<xref ref-type="table" rid="T1"><bold>Table&#xa0;1</bold></xref>) with lag = 0 or the teleconnection indices (<xref ref-type="table" rid="T2"><bold>Table&#xa0;2</bold></xref>) with <inline-formula>
<mml:math display="inline" id="im1"><mml:mrow><mml:mn>0</mml:mn><mml:mo>&#x2264;</mml:mo><mml:mtext>lag</mml:mtext><mml:mo>&#x2264;</mml:mo><mml:mn>9</mml:mn></mml:mrow></mml:math></inline-formula> months; 2) ranking the significantly-correlated <inline-formula>
<mml:math display="inline" id="im2"><mml:mrow><mml:mo stretchy="false">(</mml:mo><mml:mi>p</mml:mi><mml:mo>&lt;</mml:mo><mml:mn>0.05</mml:mn><mml:mo stretchy="false">)</mml:mo></mml:mrow></mml:math></inline-formula> drivers&#x2019; series according to the magnitude (absolute value) of their correlations; 3) selecting the ranked drivers&#x2019; series with no covariability between each other. This selection (Step 3) is carried out by a cross-correlation of the ranked drivers&#x2019; series (from Step 2), reducing the number of independent drivers&#x2019; series (<xref ref-type="fig" rid="f2"><bold>Figure&#xa0;2B</bold></xref>). The selected drivers&#x2019; series are the focus of our mechanistic analysis and are used as predictors to reconstruct the CHL (Section 2.3).</p>
<fig id="f2" position="float">
<label>Figure&#xa0;2</label>
<caption>
<p>Schematics of the mechanistic-oriented correlation analysis applied in each of the study regions (<xref ref-type="fig" rid="f1"><bold>Figure&#xa0;1</bold></xref>). <bold>(A)</bold> The regional CHL and the potential drivers are analyzed through 3 subsequent steps. <italic>Step 1</italic>: the drivers&#x2019; series are correlated with the CHL (with lag = 0 for the oceanographic variables; with 0 &#x2264; lag &#x2264; 9 months for the teleconnection indices, where the drivers lead the CHL); <italic>Step 2</italic>: the significantly-correlated (<italic>p &lt;</italic> 0.05) drivers are ranked according to the absolute-value of their correlation; <italic>Step 3</italic>: from the ranked drivers, those with no significant correlation between each other are selected for subsequent analysis. <bold>(B)</bold> Selection process in Step 3: from top to bottom, the ranked drivers (<italic>X</italic><sub>1</sub>, <italic>X</italic><sub>2</sub>,&#x2026;, <italic>X<sub>n</sub></italic>, where <italic>n</italic> is the number of significantly-correlated drivers) are correlated (lag = 0) between each other (<italic>r</italic> = corr (<italic>X<sub>i</sub>, X<sub>j</sub></italic><sub>&#x2260;</sub><italic><sub>i</sub></italic>)), if the correlation (<italic>r</italic>) is significant the driver (<italic>X<sub>j</sub></italic><sub>&#x2260;</sub><italic><sub>i</sub></italic>) is discarded, otherwise the driver is marked as selected (labeled with asterisks in <xref ref-type="fig" rid="f3"><bold>Figures&#xa0;3</bold></xref>, <xref ref-type="fig" rid="f4"><bold>4</bold></xref>).</p>
</caption>
<graphic mimetype="image" mime-subtype="tiff" xlink:href="fmars-12-1528489-g002.tif">
<alt-text content-type="machine-generated">Flowchart illustrating a three-step process for driver selection. Panel A shows steps: 1) Linear correlation with inputs 'CHL' and 'Potential drivers', 2) Correlation-ranking, 3) Non-covariability selection. Panel B elaborates Step 3: Ranked drivers undergo correlation check (lag = 0) between \( X_i \) and \( X_{j \neq i} \). If correlated, results are discarded; if not, they are selected.</alt-text>
</graphic>
</fig>
<p>To elucidate the link between the oceanographic variables and the teleconnection indices, <italic>i.e.</italic> the large-scale dynamical patterns associated with each index, regression maps of the oceanographic variables were calculated as functions of individual climate indices. In preparation for these regression maps, each index was standardized (1998&#x2013;2021 period), <italic>i.e.</italic> its mean was subtracted and the result was divided by its standard deviation, to ensure a mean of zero and for not dealing with the indices&#x2019; units. Then, a no-intercept linear regression-model was fitted (by a least-square technique) to every point of each variable&#x2019;s gridded anomaly (1998&#x2013;2021 period) as function of each standardized climate index; the regression map consists of the fitted coefficients.</p>
</sec>
<sec id="s2_3">
<label>2.3</label>
<title>Reconstruction of regional CHL series</title>
<p>Given the relatively short temporal coverage of the CHL datasets, barely long enough for interannual- but insufficient for decadal-variability analyses, it is desirable to extend its temporal extension. Then, herein we implement empirical models to estimate the CHL in each region (<xref ref-type="fig" rid="f1"><bold>Figure&#xa0;1</bold></xref>) using the selected drivers&#x2019; series (Section 2.2) as predictors. These models consisted of three multi-linear regressions (<xref ref-type="supplementary-material" rid="SM1"><bold>Supplementary Section S3.1</bold></xref>) and a non-linear approach based on artificial neural networks (<xref ref-type="supplementary-material" rid="SM1"><bold>Supplementary Section S3.2</bold></xref>), defined as follows.</p>
<list list-type="order">
<list-item>
<p><italic>Regression of oceanographic variables</italic>: Includes the oceanographic fields (<xref ref-type="table" rid="T1"><bold>Table&#xa0;1</bold></xref>) resulting from the correlation analysis (<xref ref-type="fig" rid="f2"><bold>Figure&#xa0;2</bold></xref>).</p></list-item>
<list-item>
<p><italic>Regression of teleconnection indices</italic>: Includes the climate teleconnection indices (<xref ref-type="table" rid="T2"><bold>Table&#xa0;2</bold></xref>) resulting from the correlation analysis (<xref ref-type="fig" rid="f2"><bold>Figure&#xa0;2</bold></xref>).</p></list-item>
<list-item>
<p><italic>Regression of SST EOF modes</italic>: Includes the SST principal components (eigen-value series) taken from the first 27 EOF modes of an extended SST product (<xref ref-type="supplementary-material" rid="SM1"><bold>Supplementary Section S1.3</bold></xref>).</p></list-item>
<list-item>
<p><italic>Neural network model</italic>: Includes the selected oceanographic variables (as in the first regression model), based on nonlinear autoregressive networks with exogenous inputs (NARX).</p></list-item>
</list>
<p>For details about the models, see <xref ref-type="supplementary-material" rid="SM1"><bold>Supplementary Section S3</bold></xref>.</p>
</sec>
</sec>
<sec id="s3" sec-type="results">
<label>3</label>
<title>Results</title>
<sec id="s3_1">
<label>3.1</label>
<title>Regional drivers</title>
<sec id="s3_1_1">
<label>3.1.1</label>
<title>Region 1: North Brazil Current</title>
<p>In this region, the CHL is significantly correlated with 15 out of the 23 oceanographic variables, but only three show no covariability between each other (<xref ref-type="fig" rid="f3"><bold>Figure&#xa0;3</bold></xref>): sea-surface height (SSH) <inline-formula>
<mml:math display="inline" id="im3"><mml:mrow><mml:mo stretchy="false">(</mml:mo><mml:mi>r</mml:mi><mml:mo>=</mml:mo><mml:mn>0.33</mml:mn><mml:mo stretchy="false">)</mml:mo><mml:mo>,</mml:mo></mml:mrow></mml:math></inline-formula> total precipitation rate (TPR) <inline-formula>
<mml:math display="inline" id="im4"><mml:mrow><mml:mo stretchy="false">(</mml:mo><mml:mi>r</mml:mi><mml:mo>=</mml:mo><mml:mn>0.24</mml:mn><mml:mo stretchy="false">)</mml:mo></mml:mrow></mml:math></inline-formula> and SSH standard deviation, SD (Sssh) <inline-formula>
<mml:math display="inline" id="im5"><mml:mrow><mml:mo stretchy="false">(</mml:mo><mml:mi>r</mml:mi><mml:mo>=</mml:mo><mml:mo>&#x2212;</mml:mo><mml:mn>0.13</mml:mn><mml:mo stretchy="false">)</mml:mo></mml:mrow></mml:math></inline-formula>. The oceanographic variables that explain the regional CHL are in turn explained by large-scale oceanic and atmospheric patterns, that link the regional climatic conditions to those in adjacent and/or remote locations. Some of these climatic patterns are represented by teleconnection indices like the ones described in Section 2.2 and <xref ref-type="table" rid="T2"><bold>Table&#xa0;2</bold></xref>. The CHL is significantly correlated with 7 out of the 14 indices, but only three show no covariability between each other (<xref ref-type="fig" rid="f4"><bold>Figure&#xa0;4</bold></xref>): Tropical Southern Atlantic (TSA) (<inline-formula>
<mml:math display="inline" id="im6"><mml:mrow><mml:mi>r</mml:mi><mml:mo>=</mml:mo><mml:mn>0.31</mml:mn></mml:mrow></mml:math></inline-formula>, lag = 5 months), Southern Oscillation Index (SOI) (<inline-formula>
<mml:math display="inline" id="im7"><mml:mrow><mml:mi>r</mml:mi><mml:mo>=</mml:mo><mml:mn>0.26</mml:mn></mml:mrow></mml:math></inline-formula>, lag = 1 month), and Eastern Atlantic/Western Russia (EAWR) (<inline-formula>
<mml:math display="inline" id="im8"><mml:mrow><mml:mi>r</mml:mi><mml:mo>=</mml:mo><mml:mo>&#x2212;</mml:mo><mml:mn>0.12</mml:mn></mml:mrow></mml:math></inline-formula>, lag = 4 months).</p>
<fig id="f3" position="float">
<label>Figure&#xa0;3</label>
<caption>
<p>Oceanographic variables (from those in <xref ref-type="table" rid="T1"><bold>Table&#xa0;1</bold></xref>) significantly correlated (<italic>p &lt;</italic> 0.05) with the satellite-derived CHL at each of the regions defined in <xref ref-type="fig" rid="f1"><bold>Figure&#xa0;1</bold></xref>, ranked by the absolute value of their correlation for the 1998&#x2013;2021 period (the highest values at the top). Color corresponds to zero-lag correlation. The asterisks indicate the most correlated variables showing no covariability between each other (<xref ref-type="fig" rid="f2"><bold>Figure&#xa0;2</bold></xref>).</p>
</caption>
<graphic mimetype="image" mime-subtype="tiff" xlink:href="fmars-12-1528489-g003.tif">
<alt-text content-type="machine-generated">Chart displaying rankings of different variables across six regions, with rankings on the y-axis and regions on the x-axis. Colors indicate correlations, ranging from dark blue (negative) to red (positive). Variables include SSH, SST, Ug, and others, marked with asterisks for emphasis. Correlation scale is shown on the right.</alt-text>
</graphic>
</fig>
<fig id="f4" position="float">
<label>Figure&#xa0;4</label>
<caption>
<p>Teleconnection indices (from those in <xref ref-type="table" rid="T2"><bold>Table&#xa0;2</bold></xref>) significantly correlated (<italic>p &lt;</italic> 0.05) with the satellite-derived CHL at each of the regions defined in <xref ref-type="fig" rid="f1"><bold>Figure&#xa0;1</bold></xref>, ranked by the absolute value of their correlation for the 1998&#x2013;2021 period. In each case, both the correlation (blue-to-red) and the lag (beige-to-brown) are indicated. The asterisks indicate the most correlated (lagged) indices showing no covariability between each other (<xref ref-type="fig" rid="f2"><bold>Figure&#xa0;2</bold></xref>).</p>
</caption>
<graphic mimetype="image" mime-subtype="tiff" xlink:href="fmars-12-1528489-g004.tif">
<alt-text content-type="machine-generated">Heatmap showing correlations between different climate indicators across regions over a nine-month lag period. Color gradient ranges from -0.4 (blue) to 0.4 (red). Each cell contains a climate indicator abbreviation and is color-coded to represent correlation strength. Rankings from one to ten are listed on the left, with six regions labeled at the bottom.</alt-text>
</graphic>
</fig>
<p>The TSA (<xref ref-type="bibr" rid="B25">Enfield et&#xa0;al., 1999</xref>) is characterized by an equatorial warming that induces a weakening of the North Brazil Current (NBC) and the NBC retroflection (<xref ref-type="fig" rid="f5"><bold>Figure&#xa0;5a</bold></xref>), and of the trade winds (<xref ref-type="fig" rid="f5"><bold>Figure&#xa0;5b</bold></xref>), which affect the regional flows as corroborated by its correlation (same lag of 5 months) with SSH (<italic>r</italic> = 0.21) and Sssh (<italic>r</italic> = &#x2212;0.19). The TSA also induces a positive precipitation anomaly over the region (<xref ref-type="fig" rid="f5"><bold>Figure&#xa0;5c</bold></xref>), hence its correlation (same lag) with TPR (<italic>r</italic> = 0.15), resulting in a freshwater anomaly enhanced by an increased flow of the Amazon River. The SOI (<italic>e.g.</italic>, <xref ref-type="bibr" rid="B1">Allan et&#xa0;al., 1991</xref>), whose positive values correspond to La Ni&#xf1;a (cold episodes) and the negative to El Ni&#xf1;o (warm episodes), is associated with a roughly coherent intensification of the NBC and the NBC retroflection (<xref ref-type="fig" rid="f6"><bold>Figure&#xa0;6a</bold></xref>), anomalous shoreward winds (<xref ref-type="fig" rid="f6"><bold>Figure&#xa0;6b</bold></xref>). and increased precipitation near the Equator (<xref ref-type="fig" rid="f6"><bold>Figure&#xa0;6c</bold></xref>) presenting a correlation with TPR (<italic>r</italic> = 0.22). The EAWR (<xref ref-type="bibr" rid="B9">Barnston and Livezey, 1987</xref>; <xref ref-type="bibr" rid="B59">Lim, 2015</xref>) is associated with a weak variability in the NBC and a weak precipitation decrease (not shown), showing no correlation with the three selected oceanographic variables.</p>
<fig id="f5" position="float">
<label>Figure&#xa0;5</label>
<caption>
<p>Regression of oceanographic anomalies onto <bold>(a&#x2013;c)</bold> the Tropical Southern Atlantic index (TSA) and <bold>(d&#x2013;f)</bold> the Dipole-Mode index (DMI) for the 1998&#x2013;2021 period. These leading indices have lags of 2 and 7 months, respectively. <bold>(a, d)</bold> SST and surface-current vectors; <bold>(b, e)</bold> sea-level pressure and wind vectors; <bold>(c, f)</bold> precipitation rate and salinity contours (intervals of 0.03; red are positive, blue are negative, gray are zero). Shadded areas indicate that at least one of the plotted variables is not significant (95% confidence interval).</p>
</caption>
<graphic mimetype="image" mime-subtype="tiff" xlink:href="fmars-12-1528489-g005.tif">
<alt-text content-type="machine-generated">Six-panel visualization of oceanic data, showing regression analysis for TSA and DMI. Panels a and d depict sea surface temperature (SST) with color gradients and arrows for current directions. Panels b and e display pressure (PRS) with similar vectors. Panels c and f illustrate total precipitation rate (TPR) with contour lines. The left column relates to TSA, and the right to DMI, covering the Atlantic region between latitudes 40&#xb0;S to 20&#xb0;N. The figures employ distinct color scales for each variable, indicated along the side bars.</alt-text>
</graphic>
</fig>
<fig id="f6" position="float">
<label>Figure&#xa0;6</label>
<caption>
<p>Same as <xref ref-type="fig" rid="f5"><bold>Figure&#xa0;5</bold></xref>, but for <bold>(a&#x2013;c)</bold> the Southern Oscillation Index (SOI) and <bold>(d&#x2013;f)</bold> the Western Hemisphere Warm Pool index (WHWP). These leading indices have lags of 5 and 4 months, respectively.</p>
</caption>
<graphic mimetype="image" mime-subtype="tiff" xlink:href="fmars-12-1528489-g006.tif">
<alt-text content-type="machine-generated">Six-panel image displays regression maps for SOI and WHWP. Panels (a) and (d) show sea surface temperature with color scales from -0.3 to 0.3 degrees Celsius. Panels (b) and (e) present pressure data, with scales from -0.6 to 0.6 hPa. Panels (c) and (f) depict total precipitation rate, ranging from -0.4 to 0.4 mm/day. Arrows indicate current direction and speed. Each map highlights different regions of the Atlantic Ocean.</alt-text>
</graphic>
</fig>
</sec>
<sec id="s3_1_2">
<label>3.1.2</label>
<title>Region 2: Mauritania-Senegal</title>
<p>In this region, the CHL is significantly correlated with 13 oceanographic variables, but all of them show some covariability with the selected, top correlated variable (<xref ref-type="fig" rid="f3"><bold>Figure&#xa0;3</bold></xref>): SSH (<italic>r</italic> = &#x2212;0.50). The teleconnection indices that independently (between each other) explain the most CHL variability are Tropical Northern Atlantic (TNA) (<italic>r</italic> = &#x2212;0.37, lag = 0), TSA (<italic>r</italic> = &#x2212;0.18, lag = 3 months) and Dipole Mode Index (DMI) (<italic>r</italic> = &#x2212;0.17, lag = 8 months), as shown in <xref ref-type="fig" rid="f4"><bold>Figure&#xa0;4</bold></xref>.</p>
<p>The TNA (<xref ref-type="bibr" rid="B25">Enfield et&#xa0;al., 1999</xref>) is associated with a weakening of the trade winds which results in a weaker upwelling on the northern portion of the region (not shown); these effects are evident in the significant TNA-SSH correlation (<italic>r</italic> = 0.39). The TSA has a weakening effect on the trade winds and the upwelling-favorable winds on the northern portion of the region (<xref ref-type="fig" rid="f5"><bold>Figure&#xa0;5b</bold></xref>), similar to that of the TNA, but resulting in a lower correlation with SSH (<italic>r</italic> = 0.29). On the other hand, the DMI (<xref ref-type="bibr" rid="B87">Saji et&#xa0;al., 1999</xref>; <xref ref-type="bibr" rid="B88">Saji and Yamagata, 2003</xref>) causes equatorward near-coastal flows (<xref ref-type="fig" rid="f5"><bold>Figure&#xa0;5d</bold></xref>) and a weakening of the upwelling-favorable winds (<xref ref-type="fig" rid="f5"><bold>Figure&#xa0;5e</bold></xref>); this index shows no significant correlation with SSH.</p>
</sec>
<sec id="s3_1_3">
<label>3.1.3</label>
<title>Region 3: Eastern Brazil</title>
<p>This region, herein considered as a counterpart analogous to Region 4 described in the next section, is characterized by remarkably lower CHL values, but is an important dynamical region in the western Atlantic. In this case the non-covariability variables correlated with CHL are wind-stress divergence (DIVw) (<italic>r</italic> = &#x2212;0.27), SSH (<italic>r</italic> = 0.25) and mixed-layer depth (MLD) (<italic>r</italic> = 0.12), as shown in <xref ref-type="fig" rid="f3"><bold>Figure&#xa0;3</bold></xref>. In this region the selected climate indices are Fortaleza-Quixeramobim Index (FQI) (<italic>r</italic> = 0.44, lag = 2 months), DMI (<italic>r</italic> = 0.18, lag = 9 months), and Arctic Oscillation (AO) (<italic>r</italic> = 0.16, lag = 5 months), as shown in <xref ref-type="fig" rid="f4"><bold>Figure&#xa0;4</bold></xref>.</p>
<p>The FQI is especially adequate for this region, as expected because it is calculated with two locations at Northeastern Brazil, and it indeed shows the strongest correlation in the ranking for all the regions. FQI is associated with increased precipitation and southward-wind anomalies over this region (not shown), which indicates that this region&#x2019;s CHL is modulated by displacements of the intertropical convergence zone (ITCZ). The DMI induces weak variability on the surface circulation (<xref ref-type="fig" rid="f5"><bold>Figure&#xa0;5d</bold></xref>), southward winds (<xref ref-type="fig" rid="f5"><bold>Figure&#xa0;5e</bold></xref>) and weak negative precipitation-anomalies (<xref ref-type="fig" rid="f5"><bold>Figure&#xa0;5f</bold></xref>). The AO (<xref ref-type="bibr" rid="B94">Thompson and Wallace, 1998</xref>) has effects similar to those of the DMI mentioned above but weaker (not shown). In this region, none of the selected indices is correlated with any of the selected oceanographic variables.</p>
</sec>
<sec id="s3_1_4">
<label>3.1.4</label>
<title>Region 4: Gabon-Congo-Angola</title>
<p>This region is part of the tropical Angolan upwelling system (<italic>e.g.</italic>, <xref ref-type="bibr" rid="B47">Imbol Koungue et&#xa0;al., 2024</xref>), hence its driver-linked variables are mostly upwelling-related. As in Region 2, only one variable is selected as the best predictor but it is SST (<italic>r</italic> = &#x2212;0.36) instead of SSH (<xref ref-type="fig" rid="f3"><bold>Figure&#xa0;3</bold></xref>). This region&#x2019;s leading indices are TSA (<italic>r</italic> = &#x2212;0.28, lag = 1 month), Antarctic Oscillation (AAO) (<italic>r</italic> = &#x2212;0.20, lag = 7 months), and Western Hemisphere Warm Pool (WHWP) (<italic>r</italic> = &#x2212;0.14, lag = 8 months).</p>
<p>The TSA induces a weak warming (<xref ref-type="fig" rid="f5"><bold>Figure&#xa0;5a</bold></xref>), evidenced by its correlation with SST (<italic>r</italic> = 0.48), and an apparent weakening of the South Atlantic Anticyclone, this anomaly&#x2019;s outer edge causes southward winds (weakened upwelling) over the region (<xref ref-type="fig" rid="f5"><bold>Figure&#xa0;5b</bold></xref>). This index also shows a negative salinity anomaly (<xref ref-type="fig" rid="f5"><bold>Figure&#xa0;5c</bold></xref>) associated with increased flow of the Congo River. The AAO (<xref ref-type="bibr" rid="B36">Gong and Wang, 1999</xref>) is associated with a precipitation increase over this region and a reduction in the salinity (not shown), also attributable to an enhanced Congo riverine input. The WHWP (<xref ref-type="bibr" rid="B101">Wang and Enfield, 2001</xref>) induces a warming, hence its correlation with SST (<italic>r</italic> = 0.16), and a weakening of the equatorward flow (<xref ref-type="fig" rid="f6"><bold>Figure&#xa0;6d</bold></xref>), as well as anomalously-poleward winds (<xref ref-type="fig" rid="f6"><bold>Figure&#xa0;6e</bold></xref>), and a moderate excess precipitation and enhanced riverine input (<xref ref-type="fig" rid="f6"><bold>Figure&#xa0;6f</bold></xref>). Notice that even though these WHWP-induced anomalies might not entirely satisfy our significance criterion, the coherent distribution of the wind vectors and the sea-level pressure (SLP) contours, together with the agreement between these two fields (<xref ref-type="fig" rid="f6"><bold>Figure&#xa0;6e</bold></xref>), reinforces our confidence on the plotted results.</p>
</sec>
<sec id="s3_1_5">
<label>3.1.5</label>
<title>Region 5: Brazil-Uruguay-Argentina</title>
<p>CHL in this region is mostly explained by cross-shore water velocity (Uo) (<italic>r</italic> = 0.30) and cross-shore wind stress (Tx) (<italic>r</italic> = 0.13) (<xref ref-type="fig" rid="f3"><bold>Figure&#xa0;3</bold></xref>). The selected climate indices that most explain the regional CHL are TSA (<italic>r</italic> = 0.35, lag = 1 month), WHWP (<italic>r</italic> = 0.25, lag = 0), and DMI (<italic>r</italic> = 0.18, lag = 4 months) (<xref ref-type="fig" rid="f4"><bold>Figure&#xa0;4</bold></xref>).</p>
<p>The TSA induces a warming and anticyclonic anomaly at the Region&#x2019;s central portion (<xref ref-type="fig" rid="f5"><bold>Figure&#xa0;5a</bold></xref>) barely reflected in its correlation with Uo (<italic>r</italic> = 0.14) and which has a weakening effect on the Malvinas Current (MC), strong onshore/poleward winds driven by an anticyclonic circulation associated with an intense high-pressure anomaly (<xref ref-type="fig" rid="f5"><bold>Figure&#xa0;5b</bold></xref>), and a freshwater anomaly (<xref ref-type="fig" rid="f5"><bold>Figure&#xa0;5c</bold></xref>) most probably associated with increased flow of the La Plata River. The WHWP causes a modest weakening of the MC (<xref ref-type="fig" rid="f6"><bold>Figure&#xa0;6d</bold></xref>), somewhat linked with its correlation with Uo (<italic>r</italic> = 0.22), anomalous shoreward winds (<xref ref-type="fig" rid="f6"><bold>Figure&#xa0;6e</bold></xref>), and a moderate excess precipitation and enhanced riverine input in the Region&#x2019;s northern portion (<xref ref-type="fig" rid="f6"><bold>Figure&#xa0;6f</bold></xref>). The DMI causes a weak cooling and some intensification of the poleward flow associated with the Brazil Current (BC) (<xref ref-type="fig" rid="f5"><bold>Figure&#xa0;5d</bold></xref>), strong equatorward winds driven by a low-pressure anomaly off this region (<xref ref-type="fig" rid="f5"><bold>Figure&#xa0;5e</bold></xref>), and a near-coastal increase of the freshwater input (<xref ref-type="fig" rid="f5"><bold>Figure&#xa0;5f</bold></xref>).</p>
</sec>
<sec id="s3_1_6">
<label>3.1.6</label>
<title>Region 6: Namibia-South Africa</title>
<p>Although this region is part of the Benguela Current System, in terms of interannual variability the upwelling plays a minor role to explain the regional CHL. Solar light is the most important driver, represented by shortwave irradiance (SWR) (<italic>r</italic> = 0.26), followed by the cross-shore winds, represented by cross-shore wind-stress (Tx) (<italic>r</italic> = &#x2212;0.21) (<xref ref-type="fig" rid="f3"><bold>Figure&#xa0;3</bold></xref>). The teleconnection indices that most explain this region&#x2019;s CHL are SOI (<italic>r</italic> = &#x2212;0.20, lag = 7 months), Quasi-Biennal Oscillation (QBO) (<italic>r</italic> = 0.16, lag = 9 months) and Atlantic Multidecadal Oscillation (AMO) (<italic>r</italic> = 0.13, lag = 2 months) (<xref ref-type="fig" rid="f4"><bold>Figure&#xa0;4</bold></xref>).</p>
<p>The SOI is associated with a warming and a cooling in this region&#x2019;s northern and southern half, respectively, together with a cyclonic circulation in its southern part that induces an anomalous poleward flow in the Region&#x2019;s southern half (<xref ref-type="fig" rid="f6"><bold>Figure&#xa0;6a</bold></xref>), and SOI also shows poleward wind anomalies over the whole region (<xref ref-type="fig" rid="f6"><bold>Figure&#xa0;6b</bold></xref>). The QBO (<xref ref-type="bibr" rid="B8">Baldwin et&#xa0;al., 2001</xref>) is associated with modest warming and intensification of the equatorward near-coastal flow (induced by an anticyclonic gyre) in the southern portion of the region, and a weak intensification of upwelling-favorable winds over all the region (not shown). This index shows some correlation with SWR (<italic>r</italic> = 0.16), consistent with the notion of the relation between the mesoscale flow and cloudiness. The AMO (<italic>e.g.</italic>, <xref ref-type="bibr" rid="B26">Enfield et&#xa0;al., 2001</xref>) is associated with weak flow intensification a marked weakening of the upwelling-favorable winds, and an anticyclonic wind curl over Cape Agulhas (not shown).</p>
</sec>
</sec>
<sec id="s3_2">
<label>3.2</label>
<title>Reconstruction of regional CHL</title>
<sec id="s3_2_1">
<label>3.2.1</label>
<title>Fitting/training 1998&#x2013;2021 period</title>
<p>In the previous section we identify the oceanographic variables and climate indices that explain the CHL in the analyzed regions. Based on these results, herein we present four different approaches to reconstruct the regional CHL series (Section 2.3), which are potentially useful to extend the CHL estimates to periods when CHL satellite observations are not available. <xref ref-type="fig" rid="f7"><bold>Figure&#xa0;7</bold></xref> shows a comparison between the satellite-derived CHL and the CHL-reconstruction models for each analyzed region, and the corresponding statistical results are shown in <xref ref-type="table" rid="T3"><bold>Table&#xa0;3</bold></xref>. RMS errors are normalized by the SD of the satellite-derived CHL for better comparison among the differently-productive regions. In this section we focus on the 1998&#x2013;2021 period (shaded area in <xref ref-type="fig" rid="f7"><bold>Figure&#xa0;7</bold></xref>), in which the models&#x2019; linear coefficients were calculated (<xref ref-type="supplementary-material" rid="SM1"><bold>Supplementary Section S3.1</bold></xref>) and the training of the neural network was carried out (<xref ref-type="supplementary-material" rid="SM1"><bold>Supplementary Section S3.2</bold></xref>).</p>
<fig id="f7" position="float">
<label>Figure&#xa0;7</label>
<caption>
<p><bold>(a&#x2013;l)</bold> Comparison between the regional satellite-derived CHL (&#x201c;sat&#x201d;, green line) and CHL-reconstruction models (Section 2.3), in mg m-3, in the six analyzed regions (ordered from top to bottom). These models include the multi-linear models using oceanographic variables (&#x201c;voc&#x201d;), climate indices (&#x201c;ind&#x201d;) and SST EOF modes (&#x201c;eof&#x201d;) (<xref ref-type="supplementary-material" rid="SM1"><bold>Supplementary Section S3.1</bold></xref>), and the neural network model using the oceanographic variables as input data (&#x201c;nnx&#x201d;) (<xref ref-type="supplementary-material" rid="SM1"><bold>Supplementary Section S3.2</bold></xref>). The CHL-reconstruction series (&#x201c;voc&#x201d;, &#x201c;ind&#x201d;, &#x201c;eof&#x201d;, &#x201c;nnx&#x201d;) cover a time-span from 1993 to 2023, while the satellite-CHL series (&#x201c;sat&#x201d;) extends from 1998. The shaded areas indicate the 1998&#x2013;2021 period, used for the calculation of the coefficients involved in the multi-linear models and for the training of the neural-network model.</p>
</caption>
<graphic mimetype="image" mime-subtype="tiff" xlink:href="fmars-12-1528489-g007.tif">
<alt-text content-type="machine-generated">Time series graphs depict data from 1995 to 2020 for six regions, divided into two columns. Left column: graphs (a, c, e, g, i, k) show measurements labeled &#x201c;sat,&#x201d; &#x201c;voc,&#x201d; and &#x201c;ind.&#x201d; Right column: graphs (b, d, f, h, j, l) show &#x201c;sat,&#x201d; &#x201c;eof,&#x201d; and &#x201c;nnx.&#x201d; Each graph represents changes in concentration over time, measured in milligrams per cubic meter.</alt-text>
</graphic>
</fig>
<table-wrap id="T3" position="float">
<label>Table&#xa0;3</label>
<caption>
<p>Comparative results among the CHL-reconstruction models described in Section 2.3, with respect to the satellite-derived CHL, for the regions shown in <xref ref-type="fig" rid="f1"><bold>Figure&#xa0;1</bold></xref>.</p>
</caption>
<table frame="hsides">
<thead>
<tr>
<th valign="middle" align="center">Region</th>
<th valign="middle" align="center">Voc</th>
<th valign="middle" align="center">Ind</th>
<th valign="middle" align="center">Eof</th>
<th valign="middle" align="center">Nnx</th>
</tr>
</thead>
<tbody>
<tr>
<td valign="middle" align="center">1</td>
<td valign="middle" align="center">SSH, TPR, Sssh<break/>0.44/0.90<break/>0.52/0.86</td>
<td valign="middle" align="center">TSA(5), SOI(1), EAWR(4)<break/>0.39/0.92<break/>0.47/0.90</td>
<td valign="middle" align="center">8 modes<break/>0.55/0.83<break/>0.60/0.80</td>
<td valign="middle" align="center">SSH, TPR, Sssh<break/>0.95/0.38<break/>0.76/0.66</td>
</tr>
<tr>
<td valign="middle" align="center">2</td>
<td valign="middle" align="center">SSH<break/>0.50/0.87<break/>0.51/0.87</td>
<td valign="middle" align="center">TNA(0), TSA(3), DMI(4)<break/>0.42/0.91<break/>0.41/0.93</td>
<td valign="middle" align="center">10 modes<break/>0.62/0.78<break/>0.57/0.83</td>
<td valign="middle" align="center">SSH<break/>0.87/0.60<break/>0.79/0.66</td>
</tr>
<tr>
<td valign="middle" align="center">3</td>
<td valign="middle" align="center">DIVw, SSH, MLD<break/>0.38/0.93<break/>0.39/0.92</td>
<td valign="middle" align="center">FQI(2), DMI(9), AO(5)<break/>0.50/0.87<break/>0.44/0.91</td>
<td valign="middle" align="center">11 modes<break/>0.59/0.81<break/>0.57/0.82</td>
<td valign="middle" align="center">DIVw, SSH, MLD<break/>0.96/0.48<break/>0.89/0.58</td>
</tr>
<tr>
<td valign="middle" align="center">4</td>
<td valign="middle" align="center">SST<break/>0.36/0.93<break/>0.34/0.94</td>
<td valign="middle" align="center">TSA(1), AAO(7), WHWP(8)<break/>0.34/0.94<break/>0.35/0.93</td>
<td valign="middle" align="center">9 modes<break/>0.51/0.86<break/>0.52/0.85</td>
<td valign="middle" align="center">SST<break/>0.86/0.63<break/>0.85/0.65</td>
</tr>
<tr>
<td valign="middle" align="center">5</td>
<td valign="middle" align="center">Uo, Tx<break/>0.33/0.94<break/>0.28/0.96</td>
<td valign="middle" align="center">TSA(1), WHWP(0), DMI(4)<break/>0.44/0.90<break/>0.41/0.92</td>
<td valign="middle" align="center">7 modes<break/>0.61/0.79<break/>0.53/0.85</td>
<td valign="middle" align="center">Uo, Tx<break/>0.95/0.36<break/>0.93/0.40</td>
</tr>
<tr>
<td valign="middle" align="center">6</td>
<td valign="middle" align="center">SWR, Tx<break/>0.33/0.94<break/>0.32/0.95</td>
<td valign="middle" align="center">SOI(7), QBO(9), AMO(2)<break/>0.27/0.96<break/>&#x2014;/&#x2014;</td>
<td valign="middle" align="center">10 modes<break/>0.54/0.84<break/>0.48/0.88</td>
<td valign="middle" align="center">SWR, Tx<break/>0.86/0.65<break/>0.80/0.70</td>
</tr>
</tbody>
</table>
<table-wrap-foot>
<fn>
<p>The CHL reconstructions were carried out using multi-linear models (<xref ref-type="supplementary-material" rid="SM1"><bold>Supplementary Section S3.1</bold></xref>) with oceanographic variables (&#x201c;voc&#x201d;), climate indices (&#x201c;ind&#x201d;) and eigenvalues of SST EOF modes (&#x201c;eof&#x201d;), and using neural-network models with the oceanographic variables as input data (&#x201c;nnx&#x201d;) (<xref ref-type="supplementary-material" rid="SM1"><bold>Supplementary Section S3.2</bold></xref>). For each region, the first row shows the predictors (lags in months are specified for &#x201c;ind&#x201d; model) or the number of modes (for &#x201c;eof&#x201d; model), the second row shows correlation (<italic>r</italic>; <italic>p &lt;</italic> 0.05)/root-mean-squared (RMS) error (<italic>&#x3c3;</italic>; normalized by the CHL SD) evaluated in the 19982021 period (coefficient-fitting and network-training period), and the third row shows the same but for the 2000&#x2013;2023 period. Notice that the statistics for the index-based model (&#x201c;ind&#x201d;) for Region 6 in the 2020&#x2013;2023 period are not available because this series extended only through the end of 2022 (because the AMO was available for that time span only).</p></fn>
</table-wrap-foot>
</table-wrap>
<p>The first CHL-reconstruction approach is a multi-linear regression using oceanographic variables (<xref ref-type="supplementary-material" rid="SM1"><bold>Supplementary Section S3.1</bold></xref>). Essentially, this approach takes the selected variables, <italic>i.e.</italic> those showing no covariability between each other, from the correlation ranking shown in <xref ref-type="fig" rid="f3"><bold>Figure&#xa0;3</bold></xref> as predictors to form a model for each region (no lag is applied to the series). This multilinear model captures much of the CHL variability, especially lower-frequency, but there are many CHL peaks that the model underestimates or is unable to reproduce (<xref ref-type="fig" rid="f7"><bold>Figure&#xa0;7</bold></xref>, first column). The correlation range is 0.33-0.50 (<xref ref-type="table" rid="T3"><bold>Table&#xa0;3</bold></xref>); Region 2 shows the highest correlation (<italic>r</italic> = 0.50) with the smallest error (<italic>&#x3c3;</italic> = 0.87) and Regions 5 and 6 show the lowest correlation (<italic>r</italic> = 0.33) with the largest error (<italic>&#x3c3;</italic> = 0.94). As shown in <xref ref-type="fig" rid="f3"><bold>Figure&#xa0;3</bold></xref>, Region 2 uses only one predictor (SSH), whereas two predictors are used each of Regions 5 (Uo and Tx) and 6 (SWR and Tx).</p>
<p>The second approach to reconstruct the regional CHL is also a multi-linear regression but using the teleconnection indices as predictors (<xref ref-type="supplementary-material" rid="SM1"><bold>Supplementary Section S3.1</bold></xref>), using the selected indices shown in <xref ref-type="fig" rid="f4"><bold>Figure&#xa0;4</bold></xref><italic>i.e.</italic> those with no covariability between each other, and considering the corresponding lags (<xref ref-type="table" rid="T3"><bold>Table&#xa0;3</bold></xref>). As in the previous case, this model captures much of the CHL variability (<xref ref-type="fig" rid="f7"><bold>Figure&#xa0;7</bold></xref>, first column) but many peaks are underestimated or not reproduced. This index-based model shows no better results, compared to the previous model, in Regions 1, 2 and 6, but it is similar in Region 4 and even slightly better in Regions 3 and 5 (<xref ref-type="table" rid="T3"><bold>Table&#xa0;3</bold></xref>). Region 3 shows the highest correlation (<italic>r</italic> = 0.50) with the smallest error (<italic>&#x3c3;</italic> = 0.87), and Region 6 shows the lowest correlation (<italic>r</italic> = 0.27) with the largest error (<italic>&#x3c3;</italic> = 0.96).</p>
<p>The third CHL-reconstruction approach consisted also of a multi-linear regression but it uses the eigenvalues of SST EOF modes as predictor variables (<xref ref-type="supplementary-material" rid="SM1"><bold>Supplementary Section S3.1</bold></xref>), using the selected modes and corresponding lags shown in <xref ref-type="fig" rid="f8"><bold>Figure&#xa0;8</bold></xref>. The first 27 EOF modes are above the random confidence-level (<xref ref-type="supplementary-material" rid="SM1"><bold>Supplementary Section S1.3</bold></xref>) and should be (in theory) physically meaningful and safe to use in our analysis. By definition, the EOF modes are linearly independent between each other and hence uncorrelated, but this not necessarily the case when lags are applied (<xref ref-type="fig" rid="f8"><bold>Figure&#xa0;8</bold></xref>) on the eigenvalue series (principal components), hence a covariability-selection makes sense; therefore, the covariability among the lagged eigenvalue series was removed before using them in the model, similarly to the two previous multilinear models.</p>
<fig id="f8" position="float">
<label>Figure&#xa0;8</label>
<caption>
<p>Tabular array indicating the SST EOF modes used in each region (<xref ref-type="supplementary-material" rid="SM1"><bold>Supplementary Section S3.1</bold></xref>). Bars&#x2019; color indicates: correlation in the upper halves, the corresponding lag in the lower halves. Gray bars indicate insignificant correlations.</p>
</caption>
<graphic mimetype="image" mime-subtype="tiff" xlink:href="fmars-12-1528489-g008.tif">
<alt-text content-type="machine-generated">Heatmap showing correlations between EOF modes and time lags across six regions. The correlation intensity ranges from 0.1 to 0.4, depicted by colors from yellow to dark red. Time lags are shown from zero to nine months along the top axis. EOF modes are numbered one to twenty-seven along the bottom axis.</alt-text>
</graphic>
</fig>
<p>None of the EOF modes showed correlation with all the six regions, and seven (2, 4, 5, 6, 8, 17, 19) out of the 27 modes were not used in the regression model (<xref ref-type="fig" rid="f8"><bold>Figure&#xa0;8</bold></xref>). Region 5 uses the lowest number of modes (7), while Region 3 uses the highest number (11). The EOF-based model is better to reproduce the regional CHL than the models described above (<xref ref-type="fig" rid="f7"><bold>Figure&#xa0;7</bold></xref>, second column); indeed, the EOF-model&#x2019;s lowest correlation (<italic>r</italic> = 0.51) is higher than the highest correlation obtained in the previous models, and the errors are smaller (<xref ref-type="table" rid="T3"><bold>Table&#xa0;3</bold></xref>). Region 2 shows the highest correlation (<italic>r</italic> = 0.62) with the lowest error (<italic>&#x3c3;</italic> = 0.78), and Region 4 shows the lowest correlation (<italic>r</italic> = 0.51) with the largest error (<italic>&#x3c3;</italic> = 0.86).</p>
<p>Finally, a highly non-linear approach is herein adopted to reconstruct the regional CHL, based on NARX (<xref ref-type="supplementary-material" rid="SM1"><bold>Supplementary Section S3.2</bold></xref>). As the first multi-linear approach described above, this model uses the selected, non-covariability oceanographic variables ranked in <xref ref-type="fig" rid="f3"><bold>Figure&#xa0;3</bold></xref> as predictor variables. This NARX model is remarkably better than the previous models, closely reproducing most of the CHL variability (<xref ref-type="fig" rid="f7"><bold>Figure&#xa0;7</bold></xref>, second column). The model shows correlations over 0.85 and errors under 0.70 (<xref ref-type="table" rid="T3"><bold>Table&#xa0;3</bold></xref>). Region 3 shows the best represented CHL (<xref ref-type="fig" rid="f7"><bold>Figure&#xa0;7f</bold></xref>) with a nearly perfect correlation (<italic>r</italic> = 0.96) and a relatively-medium error (<italic>&#x3c3;</italic> = 0.48). Regions 4 and 6 (<xref ref-type="fig" rid="f7"><bold>Figures&#xa0;7h, l</bold></xref>) show the lowest correlation (<italic>r</italic> = 0.86) with the largest errors, but even these &#x201c;poor&#x201d; results are better than those from the multi-linear models.</p>
</sec>
<sec id="s3_2_2">
<label>3.2.2</label>
<title>Projection</title>
<p>The CHL reconstructions in the previous section can be used to project the estimated-CHL series either forward or backward in time beyond the fitting/training period (1998-2021), i.e., here we refer to &#x201c;projection&#x201d; as the CHL reconstruction beyond the period (1998-2021) that was used for model training. The projections were performed for the 1993&#x2013;1997 and 2022&#x2013;2023 periods (<xref ref-type="fig" rid="f7"><bold>Figure&#xa0;7</bold></xref>). However, there are no satellite-CHL data in the 1993&#x2013;1997 period to evaluate the projection skill. The 2022&#x2013;2023 period is too short for a statistical comparison consistent with that carried out for the 1998&#x2013;2021 period, therefore, we decided to use a period of a similar length which includes that period, 2020-2023, and focus on how much the correlations and errors change with respect to those calculated for the 1998&#x2013;2021 period; these results are also shown in <xref ref-type="table" rid="T3"><bold>Table&#xa0;3</bold></xref>. The results are similar between both evaluation periods in the model based on oceanographic variables (&#x201c;voc&#x201d;), while the results tend to be slightly worse in the index-based model (&#x201c;ind&#x201d;), the EOF-based model (&#x201c;eof&#x201d;) and especially in the neural-network model, in the projection period (2000-2023). This evaluation is not very sensitive but the series shown in <xref ref-type="fig" rid="f7"><bold>Figure&#xa0;7</bold></xref> are helpful to corroborate the correlation/error results. The &#x201c;voc&#x201d; model is indeed slightly closer to the satellite CHL than the other models, followed by the &#x201c;eof&#x201d;; the last years in Region 1&#x2019;s series are especially problematic for the models, the &#x201c;nnx&#x201d; model even shows an abrupt fall right after the projection starts, an apparent unconstrained non-linear response of the model. On the other hand, there are marked differences among the models in the initial 1993&#x2013;1997 period (<xref ref-type="fig" rid="f7"><bold>Figure&#xa0;7</bold></xref>), when CHL is not available for comparison. In this case, the &#x201c;nnx&#x201d; seems to be too different with respect the other models and hence its projection skill is questionable. There is some consistency among the multi-linear models to reproduce some peaks, especially in Region 4 where there is a remarkable agreement between the &#x201c;voc&#x201d; and the &#x201c;ind&#x201d;. All these results suggest that the CHL can be reasonably projected at least through 2&#x2013;5 years beyond the fitting period, but using multi-linear models, in particular with the &#x201c;voc&#x201d; model.</p>
</sec>
</sec>
</sec>
<sec id="s4" sec-type="discussion">
<label>4</label>
<title>Discussion</title>
<sec id="s4_1">
<label>4.1</label>
<title>Drivers of chlorophyll-<italic>a</italic> variabilty</title>
<p>Our comprehensive analysis of observational data has allowed the identification of many of the physical drivers for the CHL in the six analyzed regions, as well as the teleconnection patterns involved in the large-scale patterns. <xref ref-type="fig" rid="f9"><bold>Figure&#xa0;9</bold></xref> shows a summary of these main results of our analysis. The analyzed regions are characterized by a vigorous interannual variability; comparing the regional CHL SD before (<xref ref-type="fig" rid="f1"><bold>Figure&#xa0;1</bold></xref>) and after removing the monthly climatology (<xref ref-type="fig" rid="f9"><bold>Figure&#xa0;9</bold></xref>) indicates that the interannual variability has roughly half of the amplitude of the mean seasonal cycle in the tropical regions (1 to 4), but they are comparable in the southernmost regions (5 and 6). This interannual variability is a result from different drivers, herein represented by those oceanographic variables that explain a significant fraction of the observed CHL variability.</p>
<fig id="f9" position="float">
<label>Figure&#xa0;9</label>
<caption>
<p>Summary of the main results (predictor variables, physical drivers, teleconnection patterns) for each of the six analyzed regions. The predictors and indices correspond to the non-covariability selections described in Section 3.1; numbers in parentheses correspond to their lags in months. Vertical arrows indicate intensification (&#x2191;) or weakening (&#x2193;) of the specified process. Signs of the drivers&#x2019; predictor variables match their correlation signs in <xref ref-type="fig" rid="f3"><bold>Figure&#xa0;3</bold></xref>. Background color corresponds to the standard deviation of satellite-derived chlorophyll-<italic>a</italic> (CHL) for the 1998&#x2013;2021 period, after removing the monthly climatology for the same period. Spatially-averaged values are shown for each region.</p>
</caption>
<graphic mimetype="image" mime-subtype="tiff" xlink:href="fmars-12-1528489-g009.tif">
<alt-text content-type="machine-generated">A map of the Atlantic Ocean region divided into six specific regions, each outlined and numbered. Regions display predictors, drivers, and teleconnections, highlighting variations like sea surface height (SSH), temperature, and wind effects. Colored arrows connect text boxes to their respective regions, indicating areas influenced by different environmental factors and teleconnections. The background map shows a gradient of green and yellow, representing data measurements across the ocean.</alt-text>
</graphic>
</fig>
<p>In Region 1, SSH and Sssh are variables which can serve as proxies for the regional surface circulations, the North Brazil Current (NBC) (<xref ref-type="bibr" rid="B49">Johns et&#xa0;al., 1998</xref>; <xref ref-type="bibr" rid="B99">Vall&#xe8;s-Casanova et&#xa0;al., 2022</xref>), the NBC retroflection (<xref ref-type="bibr" rid="B50">Johns et&#xa0;al., 1990</xref>; <xref ref-type="bibr" rid="B80">Richardson et&#xa0;al., 1994</xref>), and the anticyclonic rings that are shed from it (<xref ref-type="bibr" rid="B80">Richardson et&#xa0;al., 1994</xref>; <xref ref-type="bibr" rid="B29">Fratantoni and Glickson, 2002</xref>; <xref ref-type="bibr" rid="B13">Bueno et&#xa0;al., 2022</xref>; <xref ref-type="bibr" rid="B34">Garzoli et&#xa0;al., 2003</xref>) that can interact with other eddies (<xref ref-type="bibr" rid="B93">Subirade et&#xa0;al., 2023</xref>). Surface mean circulation is responsible for horizontal export of nutrients (<xref ref-type="bibr" rid="B90">Santos et&#xa0;al., 2008</xref>), while eddy features can have different local effects on the CHL (<italic>e.g.</italic>, <xref ref-type="bibr" rid="B76">Pereira et&#xa0;al., 2019</xref>). These effects are caused by eddy-wind driven upwelling, vertically transporting nutrients to the surface levels and hence modifying the phytoplankton growth (<xref ref-type="bibr" rid="B65">McGillicuddy et&#xa0;al., 2007</xref>; <xref ref-type="bibr" rid="B76">Pereira et&#xa0;al., 2019</xref>), or by eddy-interactions which can modify the biogeochemical properties of the water column and shape the CHL distribution (<xref ref-type="bibr" rid="B40">Hern&#xe1;ndez-Carrasco et&#xa0;al., 2020</xref>). Other transient motions like coastal-trapped waves (CTW), both intraseasonal (<xref ref-type="bibr" rid="B46">Imbol Koungue and Brandt, 2021</xref>) and interannual (<xref ref-type="bibr" rid="B7">Bach&#xe8;lery et&#xa0;al., 2020</xref>), would affect the local phytoplankton growth. This effect can be by upward nitrate flux induced by nitrocline displacements combined with intense vertical mixing (<xref ref-type="bibr" rid="B56">K&#xf6;rner et&#xa0;al., 2024</xref>), or by enhanced CTW-induced along shelf flows (<italic>e.g.</italic>, <xref ref-type="bibr" rid="B81">Rivas, 2017</xref>) that might export nutrients and CHL to other zones. Also, the wind fluctuations that generate the CTW might have an enhancing effect of surface seawater turbulence favorable to the phytoplankton (<italic>e.g.</italic>, by turbulent supply of nutrients; <xref ref-type="bibr" rid="B39">Hales et&#xa0;al., 2009</xref>). Precipitation rate (TPR) can impact CHL (<italic>r</italic> = &#x2212;0.21) through modification of the freshwater input and runoff from land. This runoff carries a large amount of nutrients essential for phytoplankton growth (<xref ref-type="bibr" rid="B90">Santos et&#xa0;al., 2008</xref>), and also an important amount of suspended particles that limit the incoming light necessary for the phytoplankton (<xref ref-type="bibr" rid="B21">DeMaster et&#xa0;al., 1986</xref>), in addition to the SWR reduced by the prevalent cloudiness that comes with precipitation (<italic>e.g.</italic>, <xref ref-type="bibr" rid="B66">McQuate and Hayden, 1984</xref>; <xref ref-type="bibr" rid="B15">Chaves and Cavalcanti, 2001</xref>; <xref ref-type="bibr" rid="B102">Yan, 2005</xref>).</p>
<p>In Region 2, which is part of the four major Eastern Boundary Upwelling Systems (<italic>e.g.</italic>, <xref ref-type="bibr" rid="B78">Qui&#xf1;ones, 2010</xref>), the wind-driven offshore Ekman transport generates a divergence over the shelf (<italic>e.g.</italic>, <xref ref-type="bibr" rid="B96">Trautman and Walter, 2021</xref>) and a sea-level decrease near the coast (<italic>e.g.</italic>, <xref ref-type="bibr" rid="B58">Kruse and Huyer, 1983</xref>) while cold and saltier water from deeper levels compensates the offshore transport. Dynamical features linked to the upwelling front, like an equatorward alongshore flow (<italic>e.g.</italic>, <xref ref-type="bibr" rid="B2">Allen, 1973</xref>) would affect the nutrient distribution, and the mesoscale structures shed from it can increase the CHL (<italic>e.g.</italic>, <xref ref-type="bibr" rid="B41">Hern&#xe1;ndez-Hern&#xe1;ndez et&#xa0;al., 2020</xref>), especially the cyclonic structures due to a shoaling of the isopycnals and the nitrocline (<italic>e.g.</italic>, <xref ref-type="bibr" rid="B41">Hern&#xe1;ndez-Hern&#xe1;ndez et&#xa0;al., 2020</xref>), and hence the subsurface chlorophyll-<italic>a</italic> maximum (<italic>e.g.</italic>, <xref ref-type="bibr" rid="B3">Almaz&#xe1;n-Becerril et&#xa0;al., 2012</xref>). Rainfall events can interact with upwelling intrusions to produce temporal variations in phytoplankton biomass (<xref ref-type="bibr" rid="B98">Valentin et&#xa0;al., 2021</xref>), and cross-shore winds can induce a flux of nutrients and micronutrients from the Saharan desert (<xref ref-type="bibr" rid="B68">Mills et&#xa0;al., 2004</xref>; <xref ref-type="bibr" rid="B62">Mahowald et&#xa0;al., 2009</xref>; <xref ref-type="bibr" rid="B92">Shi et&#xa0;al., 2022</xref>), modulated by the passage of African easterly waves (<xref ref-type="bibr" rid="B11">Bloomfield et&#xa0;al., 2022</xref>; <xref ref-type="bibr" rid="B69">Nakamae and Shiotani, 2013</xref>).</p>
<p>In Region 3, the atmospheric circulation is influenced by the ITCZ (<italic>e.g.</italic>, <xref ref-type="bibr" rid="B20">De Albuquerque Cavalcanti, 2015</xref>) which modulates the wind field, rainfall and solar radiation thus affecting the regional phytoplankton growth. SSH is a proxy for the driving effect by the NBC and the North Brazil Undercurrent (<xref ref-type="bibr" rid="B23">Dossa et&#xa0;al., 2021</xref>), together with a weak influence of the Amazon River and the Sa&#xf5; Francisco River (<xref ref-type="bibr" rid="B83">Rodrigues Holanda et&#xa0;al., 2021</xref>).</p>
<p>In Region 4, SST is linked to atmopsheric patterns like the ITCZ which creates strong convective activity, characterized by atmospheric-pressure reductions and wind convergence at surface that generates the thunderstorms that characterize the tropical regions (<xref ref-type="bibr" rid="B45">Huntley, 2019</xref>). These storms can lead to a deepening of the mixed-layer depth and a dilution of the deep chlorophyll-<italic>a</italic> maximum (<xref ref-type="bibr" rid="B10">Barrillon et&#xa0;al., 2023</xref>).</p>
<p>In Region 5, cross-shore velocity Uo represents the circulation variability dominated by the Malvinas Current (MC) in the south and the Brazil Current (BC) in the north, which converge near 34<sup>&#xb0;</sup>S (<xref ref-type="bibr" rid="B77">Piola et&#xa0;al., 2018</xref>; <xref ref-type="bibr" rid="B6">Artana et&#xa0;al., 2021</xref>), and the mesoscale dynamics enhanced as a consequence of the MC-BC interation (+EKE, +CHL) (as in <xref ref-type="bibr" rid="B31">Frey and Kubryakov, 2023</xref>). These hydrodynamic features have an influence on the regional transport of nutrients, especially those originated in the La Plata River&#x2019;s plume and the lagoon systems (<xref ref-type="bibr" rid="B70">Niencheski, 2018</xref>). Tx represents the variability of cross-shore winds, responsible for an atmospheric input of limiting micro-nutrients (<italic>i.e.</italic>, iron) from land, mostly from the Patagonian desert (<xref ref-type="bibr" rid="B51">Johnson et&#xa0;al., 2010</xref>), and which are driven by the winds associated to high and low pressure systems characteristic of South Brazil and the nearly-weekly southwesterly cold fronts (<xref ref-type="bibr" rid="B82">Rodrigues et&#xa0;al., 2004</xref>; <xref ref-type="bibr" rid="B100">Wahrlich et&#xa0;al., 2018</xref>).</p>
<p>In Region 6, shortwave-irradiance SWR variability is driven by the characteristic fog and low-level clouds in the Namib area (<xref ref-type="bibr" rid="B5">Andersen et&#xa0;al., 2019</xref>, <xref ref-type="bibr" rid="B4">2020</xref>), and this cloudiness would produce some precipitation. Tx represents the cross-shore winds which plays an important role transporting nutrients from desert areas to the ocean surface, in the form of dust plumes linked to salt pans and dry river valleys in the Namib desert (<xref ref-type="bibr" rid="B24">Eckardt and Kuring, 2005</xref>). Windblown dust within the river valleys is easily transportable offshore from the Namib over the Benguela Upwelling System (<xref ref-type="bibr" rid="B19">Dansie et&#xa0;al., 2017c</xref>), containing great concentrations of bioavailable iron and enriched nitrogen and phosphorus, which may positively impact marine productivity in the southern Atlantic (<xref ref-type="bibr" rid="B17">Dansie et&#xa0;al., 2017a</xref>, <xref ref-type="bibr" rid="B18">b</xref>).</p>
<p>SST anomalies in the tropical Atlantic (TSA and TNA; <xref ref-type="fig" rid="f5"><bold>Figures&#xa0;5a&#x2013;c</bold></xref>) have a marked effect on the rainfall over northeastern Brazil (and the Amazon basin) through the modulation of the latitudinal position of the ITCZ (<xref ref-type="bibr" rid="B71">Nobre and Shukla, 1996</xref>; <xref ref-type="bibr" rid="B43">Hounsou-Gbo et&#xa0;al., 2019</xref>). The El Ni&#xf1;o Southern Oscillation (ENSO) also has a significant effect on the rainfall in the western near-equatorial Atlantic; along the ENSO cycle (<xref ref-type="fig" rid="f6"><bold>Figures&#xa0;6a&#x2013;c</bold></xref> but for SOI <italic>&lt;</italic> 0), the ascendant branch of the Pacific Walker cell shifts to the east and the Pacific-Atlantic cell shows enhanced subsidence over equatorial South America and the western Atlantic, causing a more stable atmosphere which reduces the moist convection (<xref ref-type="bibr" rid="B84">Rodriguez-Fonseca et&#xa0;al., 2023</xref>). Marine resources in the northwest African coast are well affected by the ENSO variability, for example, the El Ni&#xf1;o has been used as a predictor of the sardinella population biomass and distribution in the central-southern portion of the Canary Current Upwelling System (<xref ref-type="bibr" rid="B60">L&#xf3;pez-Parages et&#xa0;al., 2020</xref>).</p>
<p>The eastern Atlantic off Mauritania exhibits intense SST interannual varability associated with the Dakar Ni&#xf1;o/Ni&#xf1;a involving ocean-land-atmosphere coupled processes (<xref ref-type="bibr" rid="B72">Oettli et&#xa0;al., 2016</xref>; <xref ref-type="bibr" rid="B57">Koseki et&#xa0;al., 2024</xref>), which would have their signature in variables like SSH and others (consistent with the ranked variables in <xref ref-type="fig" rid="f3"><bold>Figure&#xa0;3</bold></xref>). On the eastern tropical Atlantic, positive Dipole Mode Index (DMI) episodes (<xref ref-type="fig" rid="f5"><bold>Figures&#xa0;5d&#x2013;f</bold></xref>) drive tropospheric circulation changes that lead to an increase in moisture convergence and convection over the Congo basin and an increase in Congo River discharge (<xref ref-type="bibr" rid="B48">Jarugula and McPhaden, 2023</xref>), as evidenced in the reduced salinity in that region (<xref ref-type="fig" rid="f5"><bold>Figure&#xa0;5f</bold></xref>). In the western south Atlantic, salinity and CHL anomalies show significant correlation with the Atlantic Multidecadal Oscillation (AMO) (<xref ref-type="bibr" rid="B74">Pacheco et&#xa0;al., 2022</xref>), apparently associated with an onshore advection of moist and relatively-warm air.</p>
<p>On the other hand, winds are responsible for upper-ocean nutrient-enrichment processes like coastal upwelling, a determinant factor for phytoplankton growth, and their changes can modify the spatial distribution (and even stability) of the upper-ocean circulation, and hence affect the transports of nutrients and phytoplankton. The wind-field patterns can be also modified by large-scale teleconnection mechanisms. For example, near-equatorial warmings (TSA and TNA) produce a weakening of the trade winds (<xref ref-type="bibr" rid="B71">Nobre and Shukla, 1996</xref>; <xref ref-type="bibr" rid="B43">Hounsou-Gbo et&#xa0;al., 2019</xref>) (<xref ref-type="fig" rid="f5"><bold>Figure&#xa0;5b</bold></xref>). Also, there is a weak but significant correlation between the ENSO and the Brazil Current (BC) SST (with an 8-month lag when ENSO leads) in austral summer, linked to changes in upwelling-favorable winds and the intensity of the trade winds, associated with changes of the South Atlantic anticyclone intensity and position (<xref ref-type="bibr" rid="B86">Rouault and Tomety, 2022</xref>). The ENSO also induces a subsidence over the equatorial western Atlantic, which produces a weakening of the trade winds (<xref ref-type="fig" rid="f6"><bold>Figure&#xa0;6b</bold></xref> for SOI <italic>&lt;</italic> 0) and a reduction of the upwelling in that area (<xref ref-type="bibr" rid="B84">Rodriguez-Fonseca et&#xa0;al., 2023</xref>). These wind-field variations, specifically the wind-stress curl (<xref ref-type="bibr" rid="B28">Fonseca et&#xa0;al., 2004</xref>), have a modification effect on the surface equatorial currents (<xref ref-type="fig" rid="f5"><bold>Figures&#xa0;5a</bold></xref>, <xref ref-type="fig" rid="f6"><bold>6a</bold></xref>); the North Brazil Current (NBC) also presents a multidecadal variability (<xref ref-type="bibr" rid="B97">Tretkoff, 2011</xref>). Detachment of anticyclonic eddies from the NBC retroflection occurs during periods when this retroflection is weakened (<xref ref-type="bibr" rid="B22">Didden and Schott, 1993</xref>), but these eddies&#x2019; formation mechanism has been associated with short equatorial Rossby waves, generated by wind variations in the tropical Atlantic (<xref ref-type="bibr" rid="B61">Ma, 1996</xref>). The detached eddies can interact with the Amazon River plume, resulting in a CHL increase (<xref ref-type="bibr" rid="B29">Fratantoni and Glickson, 2002</xref>), and responsible for the transport of water properties to the northwest (<xref ref-type="bibr" rid="B80">Richardson et&#xa0;al., 1994</xref>; <xref ref-type="bibr" rid="B30">Fratantoni and Richardson, 2006</xref>).</p>
<p>South of the tropical band, the BC transport is significantly correlated with the sea-level pressure (<xref ref-type="bibr" rid="B91">Schmid and Majumder, 2018</xref>) and the wind-stress curl in the western Atlantic (<xref ref-type="bibr" rid="B35">Goes et&#xa0;al., 2019</xref>) (<xref ref-type="fig" rid="f5"><bold>Figures&#xa0;5b, e</bold></xref>, <xref ref-type="fig" rid="f6"><bold>6b&#x2013;e</bold></xref>). The BC transport is also correlated with the ENSO and teleconnection indices not considered in our analysis (namely, the South Atlantic Subtropical Dipole Mode and the Southern Annular Mode) (<xref ref-type="bibr" rid="B91">Schmid and Majumder, 2018</xref>). These BC&#x2019;s variations must modulate the formation of eddies in the Brazil-Malvinas confluence zone (<xref ref-type="bibr" rid="B31">Frey and Kubryakov, 2023</xref>), which can be detected by their enhanced CHL levels (<xref ref-type="bibr" rid="B32">Garcia et&#xa0;al., 2004</xref>).</p>
<p>On the subtropical eastern coast (around Region 6), <xref ref-type="bibr" rid="B4">Andersen et&#xa0;al. (2020)</xref> report that synoptic-scale patterns control the fog and low-level cloud variability off Namibia. They conclude that the fog/clouds are formed by an increased longwave cooling under the dry anomaly close to the coast, and an onshore flow anomaly of marine boundary-layer air masses, modulated by coastal winds and a heat low over southern Africa (generated by greenhouse warming by moist air masses and northerly warm air advection). Our results suggest that the ENSO may modulate the interannual variability of this synoptically-controlled phenomenon. During La Ni&#xf1;a conditions (SOI <italic>&gt;</italic> 0) three dynamical features occur which resemble the conceptual model for April-June proposed by <xref ref-type="bibr" rid="B4">Andersen et&#xa0;al. (2020)</xref>: a strong synoptic-scale SLP anomaly southwest of Namibia (<xref ref-type="fig" rid="f6"><bold>Figure&#xa0;6b</bold></xref>), a smaller-scale low-pressure system next to the Namibian coast (<xref ref-type="fig" rid="f6"><bold>Figure&#xa0;6b</bold></xref>), and a warming over the Angola-Benguela front (<xref ref-type="fig" rid="f6"><bold>Figure&#xa0;6a</bold></xref>). Thus, this suggests that an El Ni&#xf1;o episode would decrease (with a lag of 4&#x2013;6 months) the occurrence of fog and low-level clouds off Namibia, especially during the austral fall, whereas a La Ni&#xf1;a episode would have an opposite effect; this is consistent with the significant correlation between the SOI and this Region&#x2019;s precipitation TPR (<italic>r</italic> = 0.18). Fog is an essential component of Namib-region ecosystems (<xref ref-type="bibr" rid="B5">Andersen et&#xa0;al., 2019</xref>); as described in Section 3.1.6, the fog and low-level clouds modulate the incoming solar light, limiting the regional phytoplankton growth and the CHL.</p>
</sec>
<sec id="s4_2">
<label>4.2</label>
<title>CHL-reconstruction approaches</title>
<p>A relevant application of the identification of the main driver-linked series for the regional CHL is using these series to reconstruct the CHL series by different model approaches. Each CHL-reconstruction approach adopted in this paper has its merits. The multi-linear regression models are able to reproduce significant fractions of the observed CHL variance (especially lower frequencies), with the climate-index model showing poorer results and the SST-EOF model showing better results, but the oceanographic-variable model is the most physically sound. Although the climate-index model shows a lower performance to reproduce the regional CHL (<xref ref-type="table" rid="T3"><bold>Table&#xa0;3</bold></xref>, <xref ref-type="fig" rid="f7"><bold>Figure&#xa0;7</bold></xref>), it can be easier to evaluate (if the indices are available) compared to the data processing required to the use of the satellite/reanalysis data.</p>
<p>The SST-EOF model, on the other hand, not only shows the best results among the multi-linear models (<xref ref-type="table" rid="T3"><bold>Table&#xa0;3</bold></xref>, <xref ref-type="fig" rid="f7"><bold>Figure&#xa0;7</bold></xref>) but it requires the processing of one single variable (SST); however, the validity and physical meaning of the higher EOF modes remain to be clarified. Applying a significance criterion like the &#x201c;N-test&#x201d; used in our analysis (<xref ref-type="supplementary-material" rid="SM1"><bold>Supplementary Section S1.3</bold></xref>) is most probably not enough to guarantee that the last selected modes are indeed physically sound, but dynamical criteria are necessary to determine this notion, which is out of the scope of this paper. None of the selected EOF modes was used in all the regional models, only two of them, 1 and 15, were used in five of the six regions (<xref ref-type="fig" rid="f8"><bold>Figure&#xa0;8</bold></xref>). EOF-mode 1 is consistent with the SST-anomaly induced by the Tropical Northern Atlantic Index (TNA) and in lesser extent that by the Tropical Southern Atlantic Index (TSA), with the characteristic warming in the Tropical North Atlantic, but with more clear warmings off Benguela and off La Plata River (not shown). EOF-mode 15 shows a different pattern, with an intense signal along the South American eastern coast, from Region 3 to Region 5 where it is stronger, and weaker signals over the southern portion of Region 2 and over the northern portion of Region 6, as well as a signal of opposite sign off Region 4 (not shown).</p>
<p>The neural-network model shows a high performance to reproduce the CHL variability (<xref ref-type="fig" rid="f7"><bold>Figure&#xa0;7</bold></xref>), even if only one predictor variable (Regions 2 and 4) is used. However, deducing the relative importance of one specific input variable (when more than one predictors are used) is complicated since there is no explicit way to clarify the relation-ship between inputs and outputs in these models, which causes difficulty in interpreting the results (<xref ref-type="bibr" rid="B95">Torres-Faurrieta et&#xa0;al., 2016</xref>).</p>
<p>Previous papers have also used non-linear CHL-reconstruction models. For example, <xref ref-type="bibr" rid="B63">Martinez et&#xa0;al. (2020a</xref>, <xref ref-type="bibr" rid="B64">2020b)</xref> used a machine learning approach (a non-linear statistical approach based on Support Vector Regression) to reconstruct global spatiotemporal CHL variability from selected surface oceanic and atmospheric physical parameters taken from a numerical model. Using a 13 year-long training period, they skillfully reproduced the CHL variability from a 32-years (1979-2010) global physical-biogeochemical simulation, and their reconstructed CHL more accurately reproduced some aspects (<italic>e.g.</italic>, El Ni&#xf1;o signature in the tropical Pacific and Indian Oceans) of the satellite-observed CHL variability and trends compared to the model simulation.</p>
<p>The CHL-reconstruction models present the possibility to reproduce CHL in periods when its observation is unavailable. As described in Section 3.2.2, the models were used to project for two periods beyond the fitting/training (1998-2021) period: 1993&#x2013;1997 and 2022-2023. The comparisons between the projected CHL-reconstructed series and the satellite-observed CHL, and between each other, show that the multi-linear models have a performance comparable to that for the fitting period, but the index-based model and the EOF-based model show a slightly poorer performance compared to the model based on oceanographic variables (<xref ref-type="fig" rid="f7"><bold>Figure&#xa0;7</bold></xref>). The non-linear model (NARX), on the other hand, shows nearly-perfect correlations in the training period (1998-2021) but shows results slightly poorer than those obtained with the multi-linear models (<xref ref-type="fig" rid="f7"><bold>Figure&#xa0;7</bold></xref>). This issue occurs because the neural-network presents a non-linear response during the unconstrained period which produce significant deviations from the observed CHL, which might make this model inconvenient to estimate long-term CHL series. Then, all these results point to a potential use of a model based on oceanographic variables to reproduce and even project (at least for 2&#x2013;5 years beyond the fitting period if it is this period is long enough), the regional CHL.</p>
</sec>
</sec>
<sec id="s5" sec-type="conclusions">
<label>5</label>
<title>Conclusions</title>
<p>Herein we present the correlation analysis of a comprehensive dataset (satellite and reanalysis) to identify the physical drivers of the chlorophyll-<italic>a</italic> (CHL) observed in six key regions in the tropical and south Atlantic. This analysis allows the identification of the main drivers involved in the regional phytoplankton growth represented by the satellite-derived CHL, and provides insights of the teleconnection patterns involved in those drivers. Although numerous driver-linked variables and climate indices modulate the CHL at the analyzed regions, we can short-list the leading dynamical factors as follows.</p>
<list list-type="bullet">
<list-item>
<p>At the tropical (north and south of the Equator) western side (American coast), the regional (Regions 1 and 3) CHL is affected by fluctuations of the North Brazil Current, enhanced precipitation linked to the intertropical convergence zone, and the riverine input and runoff, mostly associated with the Tropical Southern Atlantic Index (TSA) and Southern Oscillation Index (SOI).</p></list-item>
<list-item>
<p>At the tropical eastern side (African coast), the regional (Regions 2 and 4) CHL is affected by coastal upwelling, mostly associated with the Tropical Northern Atlantic Index and the TSA.</p></list-item>
<list-item>
<p>At the southernmost western side (Region 5), the CHL is affected by the interaction of Malvinas and Brazil currents and terraneous nutrients by cross-shore winds, mostly associated with the TSA and the Western Hemisphere Warm Pool.</p></list-item>
<list-item>
<p>At the southernmost eastern side (Region 6), the CHL is affected by fog and low-level clouds and terraneous nutrients transported by cross-shore winds, associated with the SOI and the Quasi-Biennial Oscillation.</p></list-item>
</list>
<p>The identification of the driver-linked variables and climate indices that most explain the regional CHL variability also allows the implementation of different approaches to reconstruct the CHL series as functions of such variables and indices. Multi-linear regressions using oceanographic variables, climate indices, or empirical-orthogonal-function eigenvalues of sea-surface temperature, show a reasonably good performance reproducing significant fractions of CHL variability (mostly lower frequencies), but their results are poorer than the estimates obtained through non-linear, neural-network models. Although these strongly non-linear models show a high predictive skill, deducing relative importance of individual drivers is complicated. To project the regional CHL series beyond the period in which the coefficients/networks were calculated (fitting/training period), the multi-linear models show a better performance since the neural-network model is prone to present ample non-linear deviations with respect to the target variable (CHL). Among the multi-linear models, the one based on oceanographic variables shows a slightly better performance with respect to the other two, and allows the projection of CHL for 2&#x2013;6 years beyond the fitting period. Thus, the CHL-reconstruction approaches herein adopted open the possibility to estimate the regional CHL when observations or skillful numerical modeling is unavailable, and to carry out long-term predictions like climate-change projections.</p>
</sec>
</body>
<back>
<sec id="s6" sec-type="data-availability">
<title>Data availability statement</title>
<p>The raw data supporting the conclusions of this article will be made available by the authors, without undue reservation.</p></sec>
<sec id="s7" sec-type="author-contributions">
<title>Author contributions</title>
<p>DR: Investigation, Data curation, Formal analysis, Writing &#x2013; original draft, Writing &#x2013; review &amp; editing. FF: Investigation, Writing &#x2013; review &amp; editing. SK: Investigation, Writing &#x2013; review &amp; editing. NK: Funding acquisition, Project administration, Supervision, Writing &#x2013; review &amp; editing.</p></sec>
<ack>
<title>Acknowledgments</title>
<p>We thank the reviewers for their critical comments and suggestions to earlier versions of this manuscript.</p>
</ack>
<sec id="s9" sec-type="COI-statement">
<title>Conflict of interest</title>
<p>The authors declare that the research was conducted in the absence of any commercial or financial relationships that could be construed as a potential conflict of interest.</p>
<p>The handling editor JK declared a past co-authorship with the authors NK and SK.</p></sec>
<sec id="s10" sec-type="ai-statement">
<title>Generative AI statement</title>
<p>The author(s) declare that no Generative AI was used in the creation of this manuscript.</p>
<p>Any alternative text (alt text) provided alongside figures in this article has been generated by Frontiers with the support of artificial intelligence and reasonable efforts have been made to ensure accuracy, including review by the authors wherever possible. If&#xa0;you identify any issues, please contact us.</p></sec>
<sec id="s11" sec-type="disclaimer">
<title>Publisher&#x2019;s note</title>
<p>All claims expressed in this article are solely those of the authors&#xa0;and do not necessarily represent those of their affiliated organizations, or those of the publisher, the editors and the reviewers. Any product that may be evaluated in this article, or claim that may be made by its manufacturer, is not guaranteed or endorsed by the publisher.</p></sec>
<sec id="s12" sec-type="supplementary-material">
<title>Supplementary material</title>
<p>The Supplementary Material for this article can be found online at: <ext-link ext-link-type="uri" xlink:href="https://www.frontiersin.org/articles/10.3389/fmars.2025.1528489/full#supplementary-material">https://www.frontiersin.org/articles/10.3389/fmars.2025.1528489/full#supplementary-material</ext-link></p>
<supplementary-material xlink:href="DataSheet1.pdf" id="SM1" mimetype="application/pdf"/></sec>
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