<?xml version="1.0" encoding="UTF-8" standalone="no"?>
<!DOCTYPE article PUBLIC "-//NLM//DTD Journal Archiving and Interchange DTD v2.3 20070202//EN" "archivearticle.dtd">
<article xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance" article-type="methods-article" dtd-version="2.3" xml:lang="EN">
<front>
<journal-meta>
<journal-id journal-id-type="publisher-id">Front. Mar. Sci.</journal-id>
<journal-title>Frontiers in Marine Science</journal-title>
<abbrev-journal-title abbrev-type="pubmed">Front. Mar. Sci.</abbrev-journal-title>
<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.2023.1118226</article-id>
<article-categories>
<subj-group subj-group-type="heading">
<subject>Marine Science</subject>
<subj-group>
<subject>Methods</subject>
</subj-group>
</subj-group>
</article-categories>
<title-group>
<article-title>Remote sensing of phytoplankton community composition in the northern Benguela upwelling system</article-title>
</title-group>
<contrib-group>
<contrib contrib-type="author" corresp="yes">
<name>
<surname>Moloto</surname>
<given-names>Tebatso M.</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="author-notes" rid="fn001">
<sup>*</sup>
</xref>
<uri xlink:href="https://loop.frontiersin.org/people/2088613"/>
</contrib>
<contrib contrib-type="author">
<name>
<surname>Thomalla</surname>
<given-names>Sandy J.</given-names>
</name>
<xref ref-type="aff" rid="aff2">
<sup>2</sup>
</xref>
<xref ref-type="aff" rid="aff3">
<sup>3</sup>
</xref>
<uri xlink:href="https://loop.frontiersin.org/people/383230"/>
</contrib>
<contrib contrib-type="author">
<name>
<surname>Smith</surname>
<given-names>Marie E.</given-names>
</name>
<xref ref-type="aff" rid="aff4">
<sup>4</sup>
</xref>
<xref ref-type="aff" rid="aff5">
<sup>5</sup>
</xref>
<uri xlink:href="https://loop.frontiersin.org/people/666380"/>
</contrib>
<contrib contrib-type="author">
<name>
<surname>Martin</surname>
<given-names>Bettina</given-names>
</name>
<xref ref-type="aff" rid="aff6">
<sup>6</sup>
</xref>
</contrib>
<contrib contrib-type="author">
<name>
<surname>Louw</surname>
<given-names>Deon C.</given-names>
</name>
<xref ref-type="aff" rid="aff7">
<sup>7</sup>
</xref>
<xref ref-type="author-notes" rid="fn003">
<sup>&#x2020;</sup>
</xref>
<uri xlink:href="https://loop.frontiersin.org/people/957759"/>
</contrib>
<contrib contrib-type="author">
<name>
<surname>Koppelmann</surname>
<given-names>Rolf</given-names>
</name>
<xref ref-type="aff" rid="aff6">
<sup>6</sup>
</xref>
<uri xlink:href="https://loop.frontiersin.org/people/1385224"/>
</contrib>
</contrib-group>
<aff id="aff1">
<sup>1</sup>
<institution>Unit for Environmental Sciences and Management, North-West University</institution>, <addr-line>Potchefstroom</addr-line>, <country>South Africa</country>
</aff>
<aff id="aff2">
<sup>2</sup>
<institution>Southern Ocean Carbon-Climate Observatory (SOCCO), Council for Scientific and Industrial Research (CSIR)</institution>, <addr-line>Cape Town</addr-line>, <country>South Africa</country>
</aff>
<aff id="aff3">
<sup>3</sup>
<institution>Marine and Antarctic Research for Innovation and Sustainability, University of Cape Town</institution>, <addr-line>Cape Town</addr-line>, <country>South Africa</country>
</aff>
<aff id="aff4">
<sup>4</sup>
<institution>Coastal Systems and Earth Observation Research Group, CSIR</institution>, <addr-line>Cape Town</addr-line>, <country>South Africa</country>
</aff>
<aff id="aff5">
<sup>5</sup>
<institution>Department of Oceanography, University of Cape Town</institution>, <addr-line>Cape Town</addr-line>, <country>South Africa</country>
</aff>
<aff id="aff6">
<sup>6</sup>
<institution>Institute of Marine Ecosystem and Fishery Science, University of Hamburg</institution>, <addr-line>Hamburg</addr-line>, <country>Germany</country>
</aff>
<aff id="aff7">
<sup>7</sup>
<institution>National Marine Information and Research Centre, Ministry of Fisheries and Marine Research</institution>, <addr-line>Swakopmund</addr-line>, <country>Namibia</country>
</aff>
<author-notes>
<fn fn-type="edited-by">
<p>Edited by: Jamie Shutler, University of Exeter, United Kingdom</p>
</fn>
<fn fn-type="edited-by">
<p>Reviewed by: &#x17d;arko Kova&#x10d;, University of Split, Croatia; Heather Bouman, University of Oxford, United Kingdom</p>
</fn>
<fn fn-type="corresp" id="fn001">
<p>*Correspondence: Tebatso M. Moloto, <email xlink:href="mailto:Tebatso.Martin@gmail.com">Tebatso.Martin@gmail.com</email>
</p>
</fn>
<fn fn-type="present-address" id="fn003">
<p>&#x2020;Present address: Deon C. Louw, Debmarine Namibia (DBMN), Windhoek, Namibia</p>
</fn>
</author-notes>
<pub-date pub-type="epub">
<day>05</day>
<month>09</month>
<year>2023</year>
</pub-date>
<pub-date pub-type="collection">
<year>2023</year>
</pub-date>
<volume>10</volume>
<elocation-id>1118226</elocation-id>
<history>
<date date-type="received">
<day>07</day>
<month>12</month>
<year>2022</year>
</date>
<date date-type="accepted">
<day>01</day>
<month>08</month>
<year>2023</year>
</date>
</history>
<permissions>
<copyright-statement>Copyright &#xa9; 2023 Moloto, Thomalla, Smith, Martin, Louw and Koppelmann</copyright-statement>
<copyright-year>2023</copyright-year>
<copyright-holder>Moloto, Thomalla, Smith, Martin, Louw and Koppelmann</copyright-holder>
<license xlink:href="http://creativecommons.org/licenses/by/4.0/">
<p>This is an open-access article distributed under the terms of the Creative Commons Attribution License (CC BY). 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.</p>
</license>
</permissions>
<abstract>
<p>Marine phytoplankton in the northern Benguela upwelling system (nBUS) serve as a food and energy source fuelling marine food webs at higher trophic levels and thereby support a lucrative fisheries industry that sustain local economies in Namibia. Microscopic and chemotaxonomic analyses are among the most commonly used techniques for routine phytoplankton community analysis and monitoring. However, traditional <italic>in situ</italic> sampling methods have a limited spatiotemporal coverage. Satellite observations far surpass traditional discrete ocean sampling methods in their ability to provide data at broad spatial scales over a range of temporal resolution over decadal time periods. Recognition of phytoplankton ecological and functional differences has compelled advancements in satellite observations over the past decades to go beyond chlorophyll-<italic>a</italic> (Chl<italic>-a</italic>) as a proxy for phytoplankton biomass to distinguish phytoplankton taxa from space. In this study, a multispectral remote sensing approach is presented for detection of dominant phytoplankton groups frequently observed in the nBUS. Here, we use a large microscopic dataset of phytoplankton community structure and the Moderate Resolution Imaging Spectroradiometer of aqua satellite match-ups to relate spectral characteristics of in water constituents to dominance of specific phytoplankton groups. The normalised fluorescence line height, red-near infrared as well as the <italic>green</italic>/<italic>green</italic> spectral band-ratios were assigned to the dominant phytoplankton groups using statistical thresholds. The ocean colour remote sensing algorithm presented here is the first to identify phytoplankton functional types in the nBUS with far-reaching potential for mapping the phenology of phytoplankton groups on unprecedented spatial and temporal scales towards advanced ecosystem understanding and environmental monitoring.</p>
</abstract>
<kwd-group>
<kwd>satellite remote sensing</kwd>
<kwd>phytoplankton community structure</kwd>
<kwd>algorithm development</kwd>
<kwd>northern Benguela</kwd>
<kwd>Namibia</kwd>
<kwd>MODIS-Aqua</kwd>
</kwd-group>
<counts>
<fig-count count="10"/>
<table-count count="3"/>
<equation-count count="5"/>
<ref-count count="103"/>
<page-count count="23"/>
<word-count count="13242"/>
</counts>
<custom-meta-wrap>
<custom-meta>
<meta-name>section-in-acceptance</meta-name>
<meta-value>Ocean Observation</meta-value>
</custom-meta>
</custom-meta-wrap>
</article-meta>
</front>
<body>
<sec id="s1" sec-type="intro">
<label>1</label>
<title>Introduction</title>
<p>The Benguela Upwelling System (BUS), situated on the south western coast of Africa in the South Eastern Atlantic ocean (<xref ref-type="fig" rid="f1">
<bold>Figure&#xa0;1A</bold>
</xref>), is estimated to be the most productive Eastern Boundary Upwelling System (<xref ref-type="bibr" rid="B16">Carr, 2002</xref>; <xref ref-type="bibr" rid="B17">Carr and Kearns, 2003</xref>; <xref ref-type="bibr" rid="B19">Chavez and Messi&#xe9;, 2009</xref>). It stretches from Cape Agulhas in South Africa along the Namibian coast to Cape Frio and northwards into Angolan waters (<xref ref-type="bibr" rid="B40">Hutchings et&#xa0;al., 2009</xref>; <xref ref-type="bibr" rid="B42">Kampf and Chapman, 2016</xref>). The central perennial L&#xfc;deritz upwelling cell positioned at 27.5&#xb0; S in Namibia (<xref ref-type="fig" rid="f1">
<bold>Figure&#xa0;1A</bold>
</xref>) partitions the BUS into the southern and northern BUS (<xref ref-type="bibr" rid="B26">Duncombe Rae, 2005</xref>; <xref ref-type="bibr" rid="B55">Lett et&#xa0;al., 2007</xref>; <xref ref-type="bibr" rid="B40">Hutchings et&#xa0;al., 2009</xref>). The perennial upwelling in the nBUS is driven by strong equatorward south easterly alongshore winds with a strong seasonality, tending to peak in late winter to early spring (August-September) and in autumn (April-May) (<xref ref-type="bibr" rid="B40">Hutchings et&#xa0;al., 2009</xref>; <xref ref-type="bibr" rid="B58">Louw et&#xa0;al., 2016</xref>). These winds induce an Ekman transport of coastal surface waters offshore, forcing the deep, cold and nutrient-enriched waters to upwell into the euphotic zone where they fuel the high productivity characteristic of the region in the form of marine phytoplankton blooms (<xref ref-type="bibr" rid="B80">Shillington et&#xa0;al., 2006</xref>; <xref ref-type="bibr" rid="B53">Lass and Mohrholz, 2008</xref>; <xref ref-type="bibr" rid="B49">Lachkar and Gruber, 2012</xref>). This increase of productivity in the food web supports a diverse ecosystem and a very lucrative commercial fisheries industry contributing to both economic growth and food security (<xref ref-type="bibr" rid="B4">Allison et&#xa0;al., 2009</xref>; <xref ref-type="bibr" rid="B88">Stock et&#xa0;al., 2017</xref>).</p>
<fig id="f1" position="float">
<label>Figure&#xa0;1</label>
<caption>
<p>Map of western Africa showing the location of the Benguela Upwelling System (blue rectangle, inset). The BUS is partitioned into the northern (nBUS) and southern (sBUS) region separated by the L&#xfc;deritz upwelling cell at 27&#xb0; S <bold>(A)</bold>. The nBUS is bound by the cold water from the Benguela current (BC) and the warm water from the Angola current (AC) that converge at the Angola-Benguela frontal zone (A-B frontal zone). The right panel <bold>(B)</bold> shows bathymetry and the geolocations of stations sampled in the nBUS for Chl-a and phytoplankton community structure on the RV Meteor (M153) (green triangles) and Mirabilis RGNO2019 (black open circles). The geolocations of all additional cruise data (<xref ref-type="table" rid="T1">
<bold>Table&#xa0;1</bold>
</xref>) are similarly identified with unique symbols as per the figure legend.</p>
</caption>
<graphic mimetype="image" mime-subtype="tiff" xlink:href="fmars-10-1118226-g001.tif"/>
</fig>
<p>Marine phytoplankton contribute nearly half of the global primary production and serve as a direct food and energy source fuelling marine food webs at higher trophic levels (<xref ref-type="bibr" rid="B29">Field et&#xa0;al., 1998</xref>; <xref ref-type="bibr" rid="B48">Kwak and Park, 2020</xref>). In addition, phytoplankton blooms play an important role in global climate regulation through their contribution to the net annual uptake of atmospheric CO<sub>2</sub> (<xref ref-type="bibr" rid="B7">Arrigo et&#xa0;al., 1999</xref>; <xref ref-type="bibr" rid="B15">Caldeira and Duffy, 2000</xref>; <xref ref-type="bibr" rid="B90">Tortell et&#xa0;al., 2008</xref>; <xref ref-type="bibr" rid="B73">Pollard et&#xa0;al., 2009</xref>) and the production and release of aerosol particle precursors (e.g. dimethyl sulfide (DMS) gas and volatile organic carbons (VOCs)) that modulate cloud formation (<xref ref-type="bibr" rid="B18">Charlson et&#xa0;al., 1987</xref>; <xref ref-type="bibr" rid="B87">Stefels, 2000</xref>; <xref ref-type="bibr" rid="B56">Lizotte et&#xa0;al., 2017</xref>). This is of particular relevance in the nBUS, which is characterised by the presence of one of the largest and most persistent stratiform marine cloud decks that contribute to the variability and long-term trends of global albedo with impacts on both regional and global climate.</p>
<p>Marine phytoplankton encompass a diverse community of organisms, whose dominance varies in response to physicochemical variability in environmental conditions, that subsequently determines their ecological and biogeochemical function. For instance, diatoms are typically large cells that grow fast reaching high concentrations and due to their silica ballast and increased density, tend to sink fast and are considered very effective exporters of organic carbon to the deep ocean and important role players in the biological carbon pump (<xref ref-type="bibr" rid="B81">Smetacek, 1999</xref>; <xref ref-type="bibr" rid="B14">Brownlee and Taylor, 2002</xref>). Coccolithophores on the other hand are calcifiers that reduce seawater alkalinity and the carbonate concentration of surface waters in the process that forms their coccoliths (external calcium carbonate platelets), which impacts the ocean-atmosphere exchange of CO<sub>2</sub> (<xref ref-type="bibr" rid="B14">Brownlee and Taylor, 2002</xref>; <xref ref-type="bibr" rid="B75">Riebesell and Rost, 2004</xref>; <xref ref-type="bibr" rid="B63">Mcclelland et&#xa0;al., 2016</xref>). Together with dinoflagellates (<xref ref-type="bibr" rid="B43">Keller, 1989</xref>), coccolithophores have the highest intracellular dimethylsulfoniopropionate (DMSP) content and are considered prominent climate-active DMS gas producers (<xref ref-type="bibr" rid="B6">Archer et&#xa0;al., 2001</xref>; <xref ref-type="bibr" rid="B56">Lizotte et&#xa0;al., 2017</xref>) that may impact cloud formation and the radiation budget. Cyanobacteria on the other hand fix atmospheric nitrogen (N<sub>2</sub>) in a process that contributes to N<sub>2</sub> input into the ocean to compensate for N<sub>2</sub> loss from denitrification (<xref ref-type="bibr" rid="B1">Agawin et&#xa0;al., 2007</xref>). Moreover, there are some bloom-forming and toxin-producing phytoplankton species (e.g. diatoms of <italic>Pseudo-nitzschia</italic> spp.), commonly referred to as harmful algal blooms (HABs) that are detrimental to both humans and aquatic life and have devastating consequences for the fisheries industry with important economic ramifications (<xref ref-type="bibr" rid="B37">Hoagland et&#xa0;al., 2002</xref>; <xref ref-type="bibr" rid="B22">Dermastia et&#xa0;al., 2022</xref>). As such, phytoplankton community structure and diversity is considered a key component of marine ecosystems as they have a direct impact on food web energy supply, fisheries and food security, ecosystem health and climate (<xref ref-type="bibr" rid="B70">Otero et&#xa0;al., 2020</xref>; <xref ref-type="bibr" rid="B11">Bestion et&#xa0;al., 2021</xref>). It is therefore crucial to study and understand phytoplankton community composition and its variability, especially in the face of global warming and the changing climate. The knowledge of the phytoplankton community composition and its sensitivity to climate forcing can provide a valuable understanding of ecological balance in marine ecosystems (<xref ref-type="bibr" rid="B47">Kruk et&#xa0;al., 2011</xref>), which can aid in informed policy drafting decisions for improved implementation of sustainable fisheries and environmental management for the protection and conservation of ecosystems.</p>
<p>Phytoplankton communities are highly dynamic and susceptible to seasonal (and intra-seasonal), interannual and long term variability in environmental drivers such as wind driven mixing (<xref ref-type="bibr" rid="B58">Louw et&#xa0;al., 2016</xref>), upwelling (<xref ref-type="bibr" rid="B35">Hansen et&#xa0;al., 2014</xref>) and radiative forcing. The nBUS is reported to have been progressively impacted by longer-term variability associated with climate change and other human-induced activities that have resulted in drastic changes to the ecosystem over the last decades. For example, fish catches and populations (sardines and anchovy most notably) have dramatically declined over the past five decades as a result of overfishing and possible environmental events such as hypoxia and Benguela Ni&#xf1;os, that negatively affect organisms at both lower and higher trophic levels (<xref ref-type="bibr" rid="B21">Cury and Shannon, 2004</xref>). Moreover, upwelling indices indicate a decline in the frequency of upwelling events in recent years (2009 and 2014) in the nBUS (<xref ref-type="bibr" rid="B52">Lamont et&#xa0;al., 2018</xref>; <xref ref-type="bibr" rid="B74">Polonsky and Serebrennikov, 2020</xref>), with major implications for ocean productivity in support of marine food webs and the biological carbon pump. Consequently, there is a necessity for routine monitoring of phytoplankton as key roleplayers in this unique marine ecosystem for effective management as a scientific priority towards a better understanding and predictive ability of their role in maintaining ecosystem balance and climate feedback. Efforts to acquire long-term datasets towards adequately monitoring the nBUS for assessment of ecosystem changes have been made by the National Marine Information and Research Centre (NatMIRC, Namibia). The monitoring programme involves discrete <italic>in situ</italic> field observations collected quasi-monthly along two longitudinal transects off the coast of Namibia. These data have been used to assess trends in phytoplankton biomass (<xref ref-type="bibr" rid="B58">Louw et&#xa0;al., 2016</xref>), bloom-forming and toxin-producing diatoms of the genus <italic>Pseudo-nitzschia</italic> (<xref ref-type="bibr" rid="B57">Louw et&#xa0;al., 2017</xref>) and other environmental variables for nearly two decades. Field observations, although very useful in studying and monitoring marine ecosystems, are nonetheless severely limited in their regional and temporal coverage. Furthermore, they are labour intensive, costly and unable to provide near real-time monitoring observations.</p>
<p>Satellite ocean colour remote sensing observations have the ability to surpass traditional ocean sampling methods, that involve discrete samples collected on-board research vessels, owed to their large spatial and temporal scale resolution and ability to provide near real time information. Early studies of ocean colour remote sensing by satellite focused on the computation of global phytoplankton biomass using chlorophyll-<italic>a</italic> concentration ([Chl-<italic>a</italic>]) as a proxy, which improved our understanding of synoptic scale ocean primary production and biogeochemistry (<xref ref-type="bibr" rid="B68">O&#x2019;Reilly et&#xa0;al., 1998</xref>). However, recognition of the importance of different phytoplankton taxonomic groups and their varying biogeochemical functions has compelled the need for the development of satellite products with the ability to resolve complex phytoplankton dynamics from space. At the forefront of this endeavour is the ability to provide information on the composition of the phytoplankton community (phytoplankton functional types &#x2013; PFTs) in which each PFT represents a group of species aggregated according to distinct functional characteristics (e.g. size structure or taxonomic composition). More recent advancements in ocean colour remote sensing have seen the development of indirect techniques to derive phytoplankton functional types and size distribution such as the abundance-based algorithms that are based on [Chl-<italic>a</italic>] (<xref ref-type="bibr" rid="B94">Vidussi et&#xa0;al., 2001</xref>; <xref ref-type="bibr" rid="B91">Uitz et&#xa0;al., 2006</xref>; <xref ref-type="bibr" rid="B36">Hirata et&#xa0;al., 2011</xref>; <xref ref-type="bibr" rid="B13">Brewin et&#xa0;al., 2015</xref>). Spectral-based approaches on the other hand are more direct and rely primarily on the unique characteristics of light absorption and backscattering of different phytoplankton taxa, which can be retrieved from water-leaving reflectance. Variations in photosynthetic pigment composition, morphology, size, shape, and inner structure of different phytoplankton species is what drives the characteristics of inherent optical properties of surface waters that can subsequently be used to differentiate phytoplankton groups or species from satellite ocean colour remote sensing (<xref ref-type="bibr" rid="B2">Aguirre-Gomez et&#xa0;al., 2001</xref>; <xref ref-type="bibr" rid="B93">Vaillancourt et&#xa0;al., 2004</xref>; <xref ref-type="bibr" rid="B84">Soja-Wozniak et&#xa0;al., 2018</xref>). One example of this type of approach is the dual ratio approach, which utilises the ratio between 2 spectral bands to identify specific phytoplankton functional types. For instance, <xref ref-type="bibr" rid="B10">Bernard et&#xa0;al. (2005)</xref> used the 665 nm and 709 nm <italic>red</italic>/<italic>red</italic> band-ratio of the Medium Resolution Imaging Spectrometer (MERIS) sensor to identify HABs in the southern Benguela upwelling system (sBUS). Another approach uses spectral band differences to derive phytoplankton optical fingerprints. Typically, these algorithms are used to identify algal blooms of a particular taxa using three adjacent spectral bands in the red and near infrared or blue-green spectral regions that quantify the amplitude of a specific peak of absorption. One particularly useful example of this approach utilises the [Chl-<italic>a</italic>] fluorescence peak signal between 678 and 683 nm. Quantification of this signal, known as the fluorescence line height (FLH) (<xref ref-type="bibr" rid="B54">Letelier and Abbott, 1996</xref>; <xref ref-type="bibr" rid="B46">Kritten et&#xa0;al., 2020</xref>), is based on the height of the reflectance peak above a baseline formed between the two adjacent wavebands (<xref ref-type="bibr" rid="B54">Letelier and Abbott, 1996</xref>; <xref ref-type="bibr" rid="B46">Kritten et&#xa0;al., 2020</xref>). This approach has previously been applied to identify HABs in the coastal waters of SW Florida (<xref ref-type="bibr" rid="B38">Hu et&#xa0;al., 2005</xref>) and the sBUS (<xref ref-type="bibr" rid="B82">Smith and Bernard, 2020</xref>). Past and current ocean colour satellite sensors with appropriate wavebands in the red and near infrared (NIR) spectral regions, that are able to use these approaches, include the Moderate Resolution Imaging Spectroradiometer of aqua (MODIS-Aqua) [2002-present], the Ocean and Land Colour Imager (OLCI) [2016-present], and the MERIS sensors [2002-2012] (<xref ref-type="bibr" rid="B54">Letelier and Abbott, 1996</xref>).</p>
<p>Although there exist a limited number of satellite ocean colour remote sensing algorithms for aiding in the detection of multiple phytoplankton functional types (<xref ref-type="bibr" rid="B3">Aiken et&#xa0;al., 2007</xref>) and HABs in the sBUS (<xref ref-type="bibr" rid="B10">Bernard et&#xa0;al., 2005</xref>; <xref ref-type="bibr" rid="B82">Smith and Bernard, 2020</xref>), there is, to our knowledge, no satellite ocean colour remote sensing algorithm for detection of phytoplankton functional groups in the nBUS counterpart. While the regional abundance-based phytoplankton size class model of <xref ref-type="bibr" rid="B51">Lamont et&#xa0;al. (2019)</xref> for the BUS provides useful information on the variability of phytoplankton size functional types (picophytoplankton, nanophytoplankton and microphytoplankton), it is not able to approximate functional phytoplankton group composition (needed for the assessment of their various key ecological functions). The optical based algorithms derived by <xref ref-type="bibr" rid="B3">Aiken et&#xa0;al. (2007)</xref> and <xref ref-type="bibr" rid="B82">Smith and Bernard (2020)</xref> on the other hand are geared at providing information on the functional composition of phytoplankton for the sBUS (specifically diatoms, <italic>Pseudo-nitzschia</italic>, dinoflagellates, flagellates &amp; mixed communities) and it cannot be assumed that they are applicable to the nBUS (or to different satellite products).</p>
<p>This study addresses the need for an ocean colour remote sensing algorithm for the detection of phytoplankton groups in the nBUS. It does so by first selecting the most suitable satellite sensor for the nBUS based on matchups between <italic>in situ</italic> and satellite (MODIS-Aqua, MERIS/OLCI) derived [Chl-<italic>a</italic>]. It subsequently follows a similar methodological approach to the algorithm developed for the sBUS by <xref ref-type="bibr" rid="B82">Smith and Bernard (2020)</xref> by identifying the spectral reflectance characteristics unique to stations dominated by particular phytoplankton functional groups. A combination of these unique optical characteristics is then used to derive an algorithm that can be applied to ocean colour data from the nBUS to elicit broad scale high resolution information on the likely distribution of the dominant functional types. Such an algorithm will allow observations of the spatio-temporal distribution and variability of key phytoplankton groups on an unprecedented scale in the nBUS, which is a scientific priority for understanding the marine food web and detecting its response to a changing climate in this globally important upwelling region.</p>
</sec>
<sec id="s2" sec-type="materials|methods">
<label>2</label>
<title>Materials and methods</title>
<sec id="s2_1">
<label>2.1</label>
<title>
<italic>In situ</italic> data</title>
<sec id="s2_1_1">
<label>2.1.1</label>
<title>Expeditions</title>
<p>This study focused on the nBUS off the coast of Namibia (<xref ref-type="fig" rid="f1">
<bold>Figure&#xa0;1A</bold>
</xref>) within the latitudes and longitudes of 20&#x2013;26&#xb0; S and 9&#x2013;15&#xb0; E, which included the Cape Frio, Central and the L&#xfc;deritz upwelling cells. Two expeditions were carried out on-board the RV Meteor (M153) and Mirabilis (RGNO2019) for data collection (<xref ref-type="fig" rid="f1">
<bold>Figure&#xa0;1B</bold>
</xref>). Cruise M153 took place from 15 February to 15 March 2019 covering both the northern and southern Benguela upwelling systems whereas cruise RGNO2019 took place from 9 to 10 of May 2019 covering 2 longitudinal transects (23 and 20&#xb0; S). The stations sampled during the two expeditions (41 in total) are presented in <xref ref-type="fig" rid="f1">
<bold>Figure&#xa0;1B</bold>
</xref>. Seawater samples were collected in surface waters (0-5 m) using Niskin bottles attached to a conductivity-temperature-depth (CTD) carousel setup on-board the RV Meteor and Mirabilis. These data were supplemented with additional data from previous cruises in the region covering the period between 2001 and 2020 (<xref ref-type="fig" rid="f1">
<bold>Figure&#xa0;1B</bold>
</xref>; <xref ref-type="table" rid="T1">
<bold>Table&#xa0;1</bold>
</xref>).</p>
<table-wrap id="T1" position="float">
<label>Table&#xa0;1</label>
<caption>
<p>Research expeditions in the northern Benguela upwelling system off Namibia where concurrent [Chl-<italic>a</italic>] and phytoplankton cell count samples were collected between 2001 and 2019.</p>
</caption>
<table frame="hsides">
<thead>
<tr>
<th valign="top" align="left">Cruise expedition</th>
<th valign="top" align="left">Date</th>
<th valign="top" align="left">Source</th>
</tr>
</thead>
<tbody>
<tr>
<td valign="top" align="left">RV Meteor 153 (M153)</td>
<td valign="top" align="left">15 February &#x2013; 15 March 2019</td>
<td valign="top" align="left">This study <italic>
<sup>ab</sup>
</italic>
</td>
</tr>
<tr>
<td valign="top" align="left">RV Mirabilis (RGNO2019)</td>
<td valign="top" align="left">9 &#x2013; 10 May 2019</td>
<td valign="top" align="left">This study <italic>
<sup>ab</sup>
</italic>
</td>
</tr>
<tr>
<td valign="top" align="left">Maria S. Merian (MSM18-5)</td>
<td valign="top" align="left">27 August &#x2013; 15 September 2011</td>
<td valign="top" align="left">
<xref ref-type="bibr" rid="B101">Wasmund et&#xa0;al., 2014</xref> <italic>
<sup>ab</sup>
</italic>
</td>
</tr>
<tr>
<td valign="top" align="left">Discovery 356 (D356)</td>
<td valign="top" align="left">11 September &#x2013; 07 October 2010</td>
<td valign="top" align="left">
<xref ref-type="bibr" rid="B95">Wasmund, 2011a</xref>; <xref ref-type="bibr" rid="B96">Wasmund, 2011b</xref> <italic>
<sup>ab</sup>
</italic>
</td>
</tr>
<tr>
<td valign="top" align="left">Maria S. Merian (MSM18-4)</td>
<td valign="top" align="left">16 &#x2013; 19 August 2011</td>
<td valign="top" align="left">
<xref ref-type="bibr" rid="B99">Wasmund, 2015b</xref>; <xref ref-type="bibr" rid="B100">Wasmund, 2015c</xref> <italic>
<sup>ab</sup>
</italic>
</td>
</tr>
<tr>
<td valign="top" align="left">Maria S. Merian (MSM17/3)</td>
<td valign="top" align="left">30 January &#x2013; 02 February 2011</td>
<td valign="top" align="left">
<xref ref-type="bibr" rid="B97">Wasmund, 2012</xref>, <xref ref-type="bibr" rid="B98">Wasmund, 2015a</xref> <italic>
<sup>ab</sup>
</italic>
</td>
</tr>
<tr>
<td valign="top" align="left">RV Mirabilis (MOM survey)</td>
<td valign="top" align="left">January 2004 &#x2013; February 2020</td>
<td valign="top" align="left">NatMIRC unpublished monitoring data <sup>a</sup>
<italic>
<sup>b</sup>
</italic>
</td>
</tr>
<tr>
<td valign="top" align="left">RV Mirabilis (MOM survey</td>
<td valign="top" align="left">February 2001 &#x2013; December 2012</td>
<td valign="top" align="left">
<xref ref-type="bibr" rid="B58">Louw et&#xa0;al., 2016</xref> <italic>
<sup>a</sup>
</italic>
</td>
</tr>
<tr>
<td valign="top" align="left">RV Welwitschia</td>
<td valign="top" align="left">February 2001 &#x2013; December 2012</td>
<td valign="top" align="left">
<xref ref-type="bibr" rid="B61">Matlakala, 2019</xref> <italic>
<sup>ab</sup>
</italic>
</td>
</tr>
</tbody>
</table>
<table-wrap-foot>
<fn>
<p>
<sup>a</sup> = [Chl a] data.</p>
</fn>
<fn>
<p>
<sup>b</sup> = phytoplankton cell counts data.</p>
</fn>
<fn>
<p>Detailed spatial locations of the various studies appear in <xref ref-type="fig" rid="f1">
<bold>Figure&#xa0;1B</bold>
</xref>.</p>
</fn>
</table-wrap-foot>
</table-wrap>
</sec>
<sec id="s2_1_2">
<label>2.1.2</label>
<title>Chlorophyll-a</title>
<p>For the M153 and RGNO2019 cruises total [Chl-<italic>a</italic>], 200 ml of seawater was filtered through glass microfiber filters (Whatman GF/F, 25 mm diameter, 0.7 &#x3bc;m pore size) and stored immediately in the freezer (-20 &#x2da;C) for later analysis. Total [Chl-<italic>a</italic>] was determined following the method of <xref ref-type="bibr" rid="B102">Welschmeyer (1994)</xref>. Chl-a was extracted from the GF/F filters by addition of 9 mL of 90% acetone for 24 hr in the dark at -20 &#x2da;C. These were then transferred into glass tubes and fluorescence was measured using a Turner (Model 10AU) fluorometer. The [Chl-<italic>a</italic>] was determined from a seven-point [Chl-<italic>a</italic>] calibration curve and represented as equivalents of chlorophyll-<italic>a</italic> (&#x3bc;g l<sup>-1</sup>).</p>
</sec>
<sec id="s2_1_3">
<label>2.1.3</label>
<title>Phytoplankton cell counts</title>
<p>For the M153 and RGNO2019 cruises phytoplankton cell enumeration and taxonomic identification, water from the Niskin bottles was transferred to 200 mL glass amber bottles and immediately preserved with acidic Lugol iodine solution, shaken gently and stored in the dark at room temperature for later analysis in the land-based laboratory. The Lugol-preserved phytoplankton cells were settled in a 25 ml glass/plastic chamber for 24 hours prior to analysis. The phytoplankton cells were identified and counted using a Zeiss Axiovert 200 inverted light microscope following the <xref ref-type="bibr" rid="B92">Uterm&#xf6;hl (1958)</xref> method. Cells were counted and identified to genus and to species level where possible. Approximately 400 cells were counted to achieve an estimation of cell concentration with &#xb1;10% precision, whereas at least 50-200 cells were counted when cells occurred in smaller concentrations with a precision of approximately 15&#x2013;30% (<xref ref-type="bibr" rid="B5">Anderson and Throndsen, 2004</xref>). Although microscopic taxonomic identification of phytoplankton provides a resolution to genus and species levels, counted cells in this study were only grouped into diatoms, flagellates, dinoflagellates, cyanobacteria, coccolithophores, and others/unknown.</p>
</sec>
<sec id="s2_1_4">
<label>2.1.4</label>
<title>Additional <italic>in situ</italic> data sources</title>
<p>The M153 and RGNO2019 cruise datasets (detailed above) were supplemented with additional [Chl-<italic>a</italic>] and phytoplankton cell count data from multiple expeditions from publicly available, published and unpublished sources that were conducted in the nBUS covering the period between 2001 and 2020 (<xref ref-type="table" rid="T1">
<bold>Table&#xa0;1</bold>
</xref>), to make a total pool of 252 stations. Data from the additional sources were similarly obtained from samples collected in the top 5 m and were similarly assessed for [Chl-<italic>a</italic>] using a fluorometer according to the principle of <xref ref-type="bibr" rid="B102">Welschmeyer (1994)</xref> and phytoplankton cell counts according to the method of <xref ref-type="bibr" rid="B92">Uterm&#xf6;hl (1958)</xref>. The geolocations of the additional stations sampled are shown in <xref ref-type="fig" rid="f1">
<bold>Figure&#xa0;1B</bold>
</xref> with the respective sampling dates and data sources summarised in <xref ref-type="table" rid="T1">
<bold>Table&#xa0;1</bold>
</xref>.</p>
</sec>
</sec>
<sec id="s2_2">
<label>2.2</label>
<title>Satellite data</title>
<sec id="s2_2_1">
<label>2.2.1</label>
<title>Data acquisition and processing</title>
<p>Daily Level-2 (L2) 1 km resolution ocean colour satellite data from the Moderate Resolution Imaging Spectroradiometer on board the Aqua satellite (MODIS-Aqua), the Medium Resolution Imaging Spectrometer (MERIS) on board Envisat, and the Ocean and Land Colour Instrument (OLCI) on board Sentinel-3 were obtained from the National Aeronautics and Space Administration (NASA) OceanColor Web (<ext-link ext-link-type="uri" xlink:href="https://oceancolor.gsfc.nasa.gov/">https://oceancolor.gsfc.nasa.gov/</ext-link>), MERIS catalogue and inventory (MERCI, <ext-link ext-link-type="uri" xlink:href="http://meris-ds.eo.esa.int/oads/access/">http://meris-ds.eo.esa.int/oads/access/</ext-link>) and the Copernicus online data access website (CODA, <ext-link ext-link-type="uri" xlink:href="https://coda.eumetsat.int/">https://coda.eumetsat.int/</ext-link>), respectively. The OLCI [Chl<italic>-a</italic>] data were derived from OLCI reflectance bands using the blended switching algorithm of <xref ref-type="bibr" rid="B83">Smith et&#xa0;al. (2018)</xref>, which was developed specifically for the high biomass waters of the southern Benguela. The standard MODIS-Aqua [Chl-<italic>a</italic>] product is based on an empirical relationship derived from remote sensing reflectance (<italic>Rrs</italic>) between 440 and 670 nm and <italic>in situ</italic> [Chl-<italic>a</italic>]. This product is a combination of the standard OC3 algorithm (<xref ref-type="bibr" rid="B69">O&#x2019;Reilly et&#xa0;al., 2000</xref>) and the colour index (CI) algorithm (<xref ref-type="bibr" rid="B39">Hu et&#xa0;al., 2012</xref>), where the OC3 algorithm is applied at [Chl-<italic>a</italic>] <italic>&gt;</italic>0.2 mg m<sup>&#x2212;3</sup>, whereas the CI algorithm is applied at [Chl-<italic>a</italic>]&lt;0.15 mg m<sup>&#x2212;3</sup>, and a weighted blending approach is applied between 0.15 and 0.2 mg m<sup>&#x2212;3</sup>.</p>
<p>Other products obtained from MODIS L2 include the L2 flags, the nFLH and the remote sensing reflectance (<italic>Rrs</italic>) at 412, 443, 469, 488, 531, 547, 555, 645, 667 and 678 nm wavebands of the visible spectrum. The normalised fluorescence line height (nFLH, W m<sup>&#x2212;2</sup> &#x3bc;m<sup>&#x2212;1</sup> sr<sup>&#x2212;1</sup>) (<xref ref-type="bibr" rid="B54">Letelier and Abbott, 1996</xref>) is a standard product provided with the MODIS L2 Ocean colour data derived as follows:</p>
<disp-formula>
<label>(1)</label>
<mml:math display="block" id="M1">
<mml:mrow>
<mml:mi mathvariant="bold-italic">n</mml:mi>
<mml:mi mathvariant="bold-italic">F</mml:mi>
<mml:mi mathvariant="bold-italic">L</mml:mi>
<mml:mi mathvariant="bold-italic">H</mml:mi>
<mml:mo>&#xa0;</mml:mo>
<mml:mo mathvariant="bold-italic">=</mml:mo>
<mml:msub>
<mml:mi mathvariant="bold-italic">L</mml:mi>
<mml:mi mathvariant="bold-italic">w</mml:mi>
</mml:msub>
<mml:mn mathvariant="bold">678</mml:mn>
<mml:mo>&#xa0;</mml:mo>
<mml:mo mathvariant="bold-italic">&#x2212;</mml:mo>
<mml:msub>
<mml:mi mathvariant="bold-italic">L</mml:mi>
<mml:mi mathvariant="bold-italic">w</mml:mi>
</mml:msub>
<mml:mn mathvariant="bold">667</mml:mn>
<mml:mo>&#xa0;</mml:mo>
<mml:mo mathvariant="bold-italic">&#x2212;</mml:mo>
<mml:mrow>
<mml:mo stretchy="false">[</mml:mo>
<mml:mrow>
<mml:mrow>
<mml:mo stretchy="false">(</mml:mo>
<mml:mrow>
<mml:msub>
<mml:mi mathvariant="bold-italic">L</mml:mi>
<mml:mi mathvariant="bold-italic">w</mml:mi>
</mml:msub>
<mml:mn mathvariant="bold">748</mml:mn>
<mml:mo mathvariant="bold-italic">&#xa0;</mml:mo>
<mml:mo mathvariant="bold-italic">&#x2212;</mml:mo>
<mml:msub>
<mml:mi mathvariant="bold-italic">L</mml:mi>
<mml:mi mathvariant="bold-italic">w</mml:mi>
</mml:msub>
<mml:mn mathvariant="bold">667</mml:mn>
</mml:mrow>
<mml:mo stretchy="false">)</mml:mo>
</mml:mrow>
<mml:mo mathvariant="bold-italic">*</mml:mo>
<mml:mrow>
<mml:mo stretchy="false">(</mml:mo>
<mml:mrow>
<mml:mfrac>
<mml:mrow>
<mml:mn>678</mml:mn>
<mml:mo>&#x2212;</mml:mo>
<mml:mn>667</mml:mn>
</mml:mrow>
<mml:mrow>
<mml:mn>748</mml:mn>
<mml:mo>&#x2212;</mml:mo>
<mml:mn>667</mml:mn>
</mml:mrow>
</mml:mfrac>
</mml:mrow>
<mml:mo stretchy="false">)</mml:mo>
</mml:mrow>
</mml:mrow>
<mml:mo stretchy="false">]</mml:mo>
</mml:mrow>
<mml:mo>&#xa0;</mml:mo>
</mml:mrow>
</mml:math>
</disp-formula>
<p>where L<sub>w</sub> is the normalised water-leaving radiance.</p>
</sec>
<sec id="s2_2_2">
<label>2.2.2</label>
<title>Matchups with <italic>in situ</italic> data</title>
<p>The L2 data from MODIS-Aqua, MERIS and OLCI were matched to field observation stations and extracted using a 5 x 5 pixel box centred around the <italic>in situ</italic> measurements as satellite navigation may not be accurate to a single pixel. The multi-pixel box increases the number of pixels of satellite retrievals and the possibility of a valid <italic>in situ</italic> matchup. A time window of &#x2264;12 hrs between the satellite overpass and <italic>in situ</italic> observations was given preference as a temporal threshold for coincidence. However, when coincident satellite and <italic>in situ</italic> observations weren&#x2019;t available within a 12 hr window, this criteria was relaxed to allow matchups to be considered within a &#x2264;24 hr time window. The mean was then calculated for valid pixels within the 5 x 5 pixel box for [Chl-<italic>a</italic>], nFLH and <italic>Rrs</italic> at spectral bands in the visible range as outlined above, together with their respective statistical error metrics (e.g. standard deviations).</p>
</sec>
</sec>
<sec id="s2_3">
<label>2.3</label>
<title>Data quality control</title>
<p>A set of quality control measures were adopted to minimise the inclusion and effect of bad/erroneous data from the L2 satellite data using a set of corrective measures as outlined in <xref ref-type="supplementary-material" rid="SM1">
<bold>Figure S1</bold>
</xref>. The <italic>L2flags</italic> product contains science and quality &#x201c;flags&#x201d;, with set atmospheric correction thresholds that were used to eliminate invalid pixels. Briefly, pixels were masked and excluded when flagged as &#x201c;land&#x201d; (pixel is over land), &#x201c;clouds&#x201d; (cloud contamination), &#x201c;chlfail&#x201d; (satellite ocean colour [Chl-<italic>a</italic>] algorithm failure), &#x201c;higlint&#x201d; (sunglint detected via reflectance exceeds threshold), &#x201c;hisatzen&#x201d; (sensor view zenith angle exceeds 60 &#xb0;), &#x201c;lowlw&#x201d; (very low water-leaving radiance), and &#x201c;hilt&#x201d; (observed radiance very high or saturated). In an effort to remove invalid averaged matchup retrievals, further exclusion criteria were applied following <xref ref-type="bibr" rid="B8">Bailey and Werdell (2006)</xref>, which removes matchups where fewer than 13 pixels were valid (i.e. where&lt;50% of the 25 pixels within a 5 x 5 pixel box were valid). Furthermore, mean values whose standard deviations were &gt;50% of the mean (indicative of large variability within the 5 x 5 pixel box) were removed to ensure spatial stability or homogeneity. Quality control measures applied to <italic>in situ</italic> [Chl-<italic>a</italic>] measurements included removal of measurements that were below the minimum detection threshold of the Turner fluorometer (&lt;0.02 ug l<sup>-1</sup>). Finally, <italic>in situ</italic> stations were excluded that were too close to one another and overlapped with a 5 x 5 pixel box (a flow diagram detailing the data quality control steps can be found in <xref ref-type="supplementary-material" rid="SM1">
<bold>Figure S1</bold>
</xref> in the <xref ref-type="supplementary-material" rid="SM1">
<bold>Supplementary Material</bold>
</xref>).</p>
</sec>
<sec id="s2_4">
<label>2.4</label>
<title>Evaluation of MODIS-Aqua and MERIS/OLCI [Chl-<italic>a</italic>] algorithms</title>
<p>Statistical uncertainties between matchups of satellite ocean colour derived [Chl-<italic>a</italic>] and <italic>in situ</italic> fluorometric derived [Chl-<italic>a</italic>] were used to determine the most appropriate satellite sensor for algorithm development. The MERIS mission covered the period between 2002 and 2012, whereas OLCI and MODIS-Aqua were launched in 2016 and 2002, respectively, and both are still operational (at the time of writing). OLCI was developed on MERIS heritage with a similar spectral setup in order to provide continuity in algorithms and derived data; for this reason the match-ups from these two sensors were combined to create a single dataset. However, only the datasets covering the period between 2002-2012 and 2016-present were used for MODIS-Aqua so as to facilitate a fair comparison with MERIS/OLCI in this evaluation. Statistical metrics were used to quantify the agreement between <italic>in situ</italic> [Chl-<italic>a</italic>] and satellite-derived observations. Prior to the analysis, both the <italic>in situ</italic> and satellite retrievals were log-transformed. The statistics used for comparison were the mean relative error (MRE), mean absolute relative difference (MARD), median relative difference (MedRD), root mean squared error (RMSE) and relative bias, the exact equations of which can be found in the <xref ref-type="supplementary-material" rid="SM1">
<bold>Supplementary Material indicated as equations S1 - S5.</bold>
</xref>
</p>
<p>In addition, a linear regression model was used to assess the degree of agreement between the <italic>in situ</italic> and satellite-derived [Chl-<italic>a</italic>]. The intercept, slope and coefficient of determination (R<sup>2</sup>) were computed.</p>
</sec>
<sec id="s2_5">
<label>2.5</label>
<title>Algorithm development</title>
<sec id="s2_5_1">
<label>2.5.1</label>
<title>Subdividing the data by phytoplankton group dominance</title>
<p>The quality-controlled <italic>in situ</italic> data were subdivided according to phytoplankton group dominance. Dominance, in the context of this study, was typically achieved when a phytoplankton group contributed more than 50% to the total phytoplankton community abundance. It should be noted however that the nBUS is, for the most part, diatom-dominated (See <xref ref-type="supplementary-material" rid="SM1">
<bold>Figure S3</bold>
</xref> on the <xref ref-type="supplementary-material" rid="SM1">
<bold>Supplementary Material</bold>
</xref>) and therefore the majority of the datasets were considered diatom dominated. For diatoms only, dominance was instead defined as a &#x2265;70% contribution to the total phytoplankton community with a cell concentration of &#x2265;500,000 cells l<sup>-1</sup>. For flagellates and dinoflagellates, dominance was considered when cells were &gt;50% of the total cell abundance. No cell count minima was set for these subsets as these stations typically did not reach high cell concentrations (i.e. &gt;10<sup>6</sup> cells L<sup>-1</sup>).</p>
<p>Further analysis of the data showed dominance for dinoflagellates in both low [Chl-<italic>a</italic>] and high [Chl-<italic>a</italic>] (&gt;4 &#x3bc;g l<sup>-1</sup>) waters. Dinoflagellate dominance was thus subdivided into either low biomass or high biomass dominance (LB and HB, respectively). For HB dinoflagellate-dominated waters, dominance was considered when contributing &gt;50% to the total cell abundance with cell counts of &#x2265;10<sup>6</sup> cells L<sup>-1</sup>. Unfortunately, there were no <italic>in situ</italic> stations where either coccolithophores or cyanobacteria met the criteria for dominance. As such, this study focused only on identifying unique spectral characteristics of diatoms, flagellates and dinoflagellates from the satellite spectral matchup data. In addition, unique spectral characteristics were determined for a phytoplankton community that was considered mixed, i.e. when all the identifiable groups (including coccolithophores and cyanobacteria) and unidentifiable groups (i.e. classified as &#x201c;other&#x201d; in the phytoplankton taxonomic datasets) each contributed&lt;50% to the total phytoplankton abundance with no set cell count minima.</p>
</sec>
<sec id="s2_5_2">
<label>2.5.2</label>
<title>Determining unique optical characteristics</title>
<p>The remote sensing spectral characteristics associated with dominance of the aforementioned phytoplankton groups were assessed using 4 approaches, namely 1) <italic>Rrs</italic> at different spectral bands, 2) dual-band <italic>Rrs</italic> ratios, 3) spectral band difference approaches and 4) a [Chl-<italic>a</italic>] abundance-based approach. For these approaches, the magnitude and shape of <italic>Rrs</italic> at 10 spectral bands were compared between waters dominated by the different phytoplankton groups. For dual-band spectral ratios, a total of 87 different ratio combinations among the violet, blue, green and red spectral regions were investigated. The spectral band difference or line height (LH) was calculated at eight different adjacent spectral band-triplets between 410 and 678 nm. LH is a measure of the height of the <italic>Rrs</italic> at a &#x201c;signal&#x201d; band above a baseline formed by any two given spectral bands, and was calculated as follows:</p>
<disp-formula>
<label>(2)</label>
<mml:math display="block" id="M2">
<mml:mrow>
<mml:mi mathvariant="bold-italic">L</mml:mi>
<mml:mi mathvariant="bold-italic">H</mml:mi>
<mml:mo>&#xa0;</mml:mo>
<mml:mo mathvariant="bold-italic">=</mml:mo>
<mml:mo>&#xa0;</mml:mo>
<mml:mi mathvariant="bold-italic">R</mml:mi>
<mml:mi mathvariant="bold-italic">r</mml:mi>
<mml:mi mathvariant="bold-italic">s</mml:mi>
<mml:mo mathvariant="bold-italic">_</mml:mo>
<mml:mi mathvariant="bold-italic">s</mml:mi>
<mml:mi mathvariant="bold-italic">i</mml:mi>
<mml:mi mathvariant="bold-italic">g</mml:mi>
<mml:mi mathvariant="bold-italic">n</mml:mi>
<mml:mi mathvariant="bold-italic">a</mml:mi>
<mml:mi mathvariant="bold-italic">l</mml:mi>
<mml:mo>&#xa0;</mml:mo>
<mml:mo mathvariant="bold-italic">&#x2212;</mml:mo>
<mml:mi mathvariant="bold-italic">R</mml:mi>
<mml:mi mathvariant="bold-italic">r</mml:mi>
<mml:mi mathvariant="bold-italic">s</mml:mi>
<mml:mo mathvariant="bold-italic">_</mml:mo>
<mml:mi mathvariant="bold-italic">l</mml:mi>
<mml:mi mathvariant="bold-italic">e</mml:mi>
<mml:mi mathvariant="bold-italic">f</mml:mi>
<mml:mi mathvariant="bold-italic">t</mml:mi>
<mml:mo>&#xa0;</mml:mo>
<mml:mo mathvariant="bold-italic">&#x2212;</mml:mo>
<mml:mrow>
<mml:mo stretchy="false">(</mml:mo>
<mml:mrow>
<mml:mi>R</mml:mi>
<mml:mi>r</mml:mi>
<mml:mi>s</mml:mi>
<mml:mo>_</mml:mo>
<mml:mi>r</mml:mi>
<mml:mi>i</mml:mi>
<mml:mi>g</mml:mi>
<mml:mi>h</mml:mi>
<mml:mi>t</mml:mi>
<mml:mo>&#xa0;</mml:mo>
<mml:mo>&#x2212;</mml:mo>
<mml:mi>R</mml:mi>
<mml:mi>r</mml:mi>
<mml:mi>s</mml:mi>
<mml:mo>_</mml:mo>
<mml:mi>l</mml:mi>
<mml:mi>e</mml:mi>
<mml:mi>f</mml:mi>
<mml:mi>t</mml:mi>
</mml:mrow>
<mml:mo stretchy="false">)</mml:mo>
</mml:mrow>
<mml:mo>&#xd7;</mml:mo>
<mml:mrow>
<mml:mo stretchy="false">(</mml:mo>
<mml:mrow>
<mml:mfrac>
<mml:mrow>
<mml:msub>
<mml:mi>&#x3bb;</mml:mi>
<mml:mrow>
<mml:mi>s</mml:mi>
<mml:mi>i</mml:mi>
<mml:mi>g</mml:mi>
<mml:mi>n</mml:mi>
<mml:mi>a</mml:mi>
<mml:mi>l</mml:mi>
</mml:mrow>
</mml:msub>
<mml:mo>&#x2212;</mml:mo>
<mml:mo>&#xa0;</mml:mo>
<mml:msub>
<mml:mi>&#x3bb;</mml:mi>
<mml:mrow>
<mml:mi>l</mml:mi>
<mml:mi>e</mml:mi>
<mml:mi>f</mml:mi>
<mml:mi>t</mml:mi>
</mml:mrow>
</mml:msub>
</mml:mrow>
<mml:mrow>
<mml:msub>
<mml:mi>&#x3bb;</mml:mi>
<mml:mrow>
<mml:mi>r</mml:mi>
<mml:mi>i</mml:mi>
<mml:mi>g</mml:mi>
<mml:mi>h</mml:mi>
<mml:mi>t</mml:mi>
</mml:mrow>
</mml:msub>
<mml:mo>&#x2212;</mml:mo>
<mml:mo>&#xa0;</mml:mo>
<mml:msub>
<mml:mi>&#x3bb;</mml:mi>
<mml:mrow>
<mml:mi>l</mml:mi>
<mml:mi>e</mml:mi>
<mml:mi>f</mml:mi>
<mml:mi>t</mml:mi>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:mfrac>
</mml:mrow>
<mml:mo stretchy="false">)</mml:mo>
</mml:mrow>
</mml:mrow>
</mml:math>
</disp-formula>
<p>Where &#x3bb; is the wavelength value at a spectral band of interest, Rrs_signal is the Rrs value at the signal band centred between two spectral bands, Rrs_left is the Rrs to the left of Rrs_ signal, Rrs_right is the Rrs to the right of Rrs_ signal, &#x3bb;<sub>signal</sub> is the &#x3bb; value of Rrs_signal whereas &#x3bb;<sub>right</sub> and &#x3bb;<sub>left</sub> are the &#x3bb; values of Rrs to the right and left of the Rrs_signal respectively. The nFLH, a downloadable L2 MODIS-aqua product as described in the &#x201c;<italic>data acquisition</italic>&#x201d; section above, is a well-known example.</p>
<p>Spectral reflectance peaks may occur near 685 nm in low to moderate [Chl-a] waters as a consequence of [Chl-<italic>a</italic>] fluorescence emission (<xref ref-type="bibr" rid="B34">Gordon, 1979</xref>). However, this [Chl-<italic>a</italic>] fluorescence peak may be masked in high phytoplankton biomass waters (e.g. [Chl-<italic>a</italic>] &gt; 20 &#x3bc;g l<sup>-1</sup>) as a result of increased absorption and backscattering by phytoplankton coupled with increased water absorption (<xref ref-type="bibr" rid="B34">Gordon, 1979</xref>; <xref ref-type="bibr" rid="B77">Schalles, 2006</xref>; <xref ref-type="bibr" rid="B33">Gilerson et&#xa0;al., 2007</xref>); this is often observed as a shift in the red reflectance peak towards the NIR region. In this study, we quantify this red shift as a ratio between a red (<italic>Rrs</italic>667) and NIR (<italic>Rrs</italic>748) spectral bands, the red-NIR ratio (<italic>RNR</italic>). The <italic>Rrs</italic>748 is not provided in the standard L2 MODIS files, and is instead calculated from the available nFLH, <italic>Rrs</italic>667 and <italic>Rrs</italic>678, and solar spectral irradiance values from <xref ref-type="bibr" rid="B89">Thuillier et&#xa0;al. (2003)</xref> as follows:</p>
<disp-formula>
<label>(3)</label>
<mml:math display="block" id="M3">
<mml:mrow>
<mml:mi mathvariant="bold-italic">R</mml:mi>
<mml:mi mathvariant="bold-italic">r</mml:mi>
<mml:mi mathvariant="bold-italic">s</mml:mi>
<mml:mn mathvariant="bold">748</mml:mn>
<mml:mo>&#xa0;</mml:mo>
<mml:mo>=</mml:mo>
<mml:mo>&#xa0;</mml:mo>
<mml:mrow>
<mml:mo stretchy="false">(</mml:mo>
<mml:mrow>
<mml:mrow>
<mml:mo stretchy="false">(</mml:mo>
<mml:mrow>
<mml:mfrac>
<mml:mrow>
<mml:mn mathvariant="bold">81</mml:mn>
<mml:mo>*</mml:mo>
<mml:mi mathvariant="bold-italic">R</mml:mi>
<mml:mi mathvariant="bold-italic">r</mml:mi>
<mml:mi mathvariant="bold-italic">s</mml:mi>
<mml:mn mathvariant="bold">678</mml:mn>
<mml:mo>*</mml:mo>
<mml:mn mathvariant="bold">1481.93</mml:mn>
</mml:mrow>
<mml:mrow>
<mml:mn mathvariant="bold">11</mml:mn>
</mml:mrow>
</mml:mfrac>
</mml:mrow>
<mml:mo stretchy="false">)</mml:mo>
</mml:mrow>
<mml:mo>&#x2212;</mml:mo>
<mml:mrow>
<mml:mo stretchy="false">(</mml:mo>
<mml:mrow>
<mml:mfrac>
<mml:mrow>
<mml:mn mathvariant="bold">81</mml:mn>
<mml:mo>*</mml:mo>
<mml:mi mathvariant="bold-italic">n</mml:mi>
<mml:mi mathvariant="bold-italic">F</mml:mi>
<mml:mi mathvariant="bold-italic">L</mml:mi>
<mml:mi mathvariant="bold-italic">H</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mn mathvariant="bold">11</mml:mn>
</mml:mrow>
</mml:mfrac>
</mml:mrow>
<mml:mo stretchy="false">)</mml:mo>
</mml:mrow>
<mml:mo>&#x2212;</mml:mo>
<mml:mrow>
<mml:mo stretchy="false">(</mml:mo>
<mml:mrow>
<mml:mfrac>
<mml:mrow>
<mml:mn mathvariant="bold">70</mml:mn>
<mml:mo>*</mml:mo>
<mml:mi mathvariant="bold-italic">R</mml:mi>
<mml:mi mathvariant="bold-italic">r</mml:mi>
<mml:mi mathvariant="bold-italic">s</mml:mi>
<mml:mn mathvariant="bold">667</mml:mn>
<mml:mo>*</mml:mo>
<mml:mn mathvariant="bold">1517.73</mml:mn>
</mml:mrow>
<mml:mrow>
<mml:mn mathvariant="bold">11</mml:mn>
</mml:mrow>
</mml:mfrac>
</mml:mrow>
<mml:mo stretchy="false">)</mml:mo>
</mml:mrow>
</mml:mrow>
<mml:mo stretchy="false">)</mml:mo>
</mml:mrow>
<mml:mo>&#xf7;</mml:mo>
<mml:mn mathvariant="bold">1288.25</mml:mn>
</mml:mrow>
</mml:math>
</disp-formula>
<p>The <italic>RNR</italic> was then calculated as:</p>
<disp-formula>
<label>(4)</label>
<mml:math display="block" id="M4">
<mml:mrow>
<mml:mi mathvariant="bold-italic">R</mml:mi>
<mml:mi mathvariant="bold-italic">N</mml:mi>
<mml:mi mathvariant="bold-italic">R</mml:mi>
<mml:mo>&#xa0;</mml:mo>
<mml:mo mathvariant="bold-italic">=</mml:mo>
<mml:mo>&#xa0;</mml:mo>
<mml:mfrac>
<mml:mrow>
<mml:mi mathvariant="bold-italic">R</mml:mi>
<mml:mi mathvariant="bold-italic">r</mml:mi>
<mml:mi mathvariant="bold-italic">s</mml:mi>
<mml:mn mathvariant="bold">748</mml:mn>
</mml:mrow>
<mml:mrow>
<mml:mi mathvariant="bold-italic">R</mml:mi>
<mml:mi mathvariant="bold-italic">r</mml:mi>
<mml:mi mathvariant="bold-italic">s</mml:mi>
<mml:mn mathvariant="bold">667</mml:mn>
</mml:mrow>
</mml:mfrac>
</mml:mrow>
</mml:math>
</disp-formula>
<p>[Chl-<italic>a</italic>] was used as a proxy for phytoplankton abundance for the development of the abundance-based algorithm, based primarily on the understanding that at high biomass the phytoplankton community was dominated by either diatoms or dinoflagellates.</p>
</sec>
</sec>
<sec id="s2_6">
<label>2.6</label>
<title>Statistical analysis</title>
<p>Box and whisker plots were used to graphically display the distribution and statistical parameters of the data which included the median (Q<sub>2</sub>), lower (Q<sub>1</sub> or 25<sup>th</sup> percentile) and upper (Q<sub>3</sub> or 75<sup>th</sup> percentile) quartiles as well as the lower (Q<sub>0</sub> or minimum) and upper (Q<sub>4</sub> or maximum) extremes of the datasets. The box represents the interquartile interval where 50% of the data is distributed. The whiskers display the lower (minimum) and upper (maximum) extremes of the datasets. Outliers were defined as data points that are 1.5 times higher than the interquartile range (IQR) calculated from both the lower (Q<sub>1</sub>) and upper (Q<sub>3</sub>) quartiles and indicated as circles in the box and whisker plots. The 25<sup>th</sup> and 75<sup>th</sup> percentiles were used to define optical signature thresholds associated with dominance of the phytoplankton groups under investigation. The Matplotlib, Scipy.stats, Numpy and Sklearn.metrics Python (version 3.7.3) packages were used for statistical data analysis.</p>
</sec>
</sec>
<sec id="s3" sec-type="results">
<label>3</label>
<title>Results</title>
<sec id="s3_1">
<label>3.1</label>
<title>Evaluation of MODIS-Aqua and MERIS/OLCI [Chl-<italic>a</italic>] algorithms in the nBUS in comparison with <italic>in situ</italic> data</title>
<p>For both MODIS-Aqua and MERIS/OLCI sensors, the quality-controlled [Chl-<italic>a</italic>] match-up datasets were used for comparison (<xref ref-type="fig" rid="f2">
<bold>Figure&#xa0;2</bold>
</xref>), which covered the <italic>in situ</italic> [Chl-<italic>a</italic>] range of 0.18 &#x2013; 36.25 &#x3bc;g l<sup>-1</sup>. The matchup datasets were reduced from n=56 and 54 stations to n= 36 and 37 for MODIS-Aqua and MERIS/OLCI respectively, following the application of the stringent quality control measures outlined in <xref ref-type="supplementary-material" rid="SM1">
<bold>Figure S1</bold>
</xref>. Scatter plots of the comparisons between <italic>in situ</italic> and satellite [Chl-<italic>a</italic>] are shown in <xref ref-type="fig" rid="f2">
<bold>Figures&#xa0;2A, B</bold>
</xref> with the data that passed quality control being easily identified from the raw data that did not. Statistical parameters of the linear regressions between the quality-controlled data showed a positive correlation between <italic>in situ</italic> [Chl-<italic>a</italic>] and satellite retrievals. The Pearson correlation coefficient (r) was similar for both sensors, with MODIS-Aqua having a slightly lower correlation (r = 0.67) than that of MERIS/OLCI (r = 0.68) (<xref ref-type="fig" rid="f2">
<bold>Figure&#xa0;2C</bold>
</xref>).</p>
<fig id="f2" position="float">
<label>Figure&#xa0;2</label>
<caption>
<p>The top panel shows raw and quality-controlled (QC) <italic>in situ</italic> versus satellite [Chl-<italic>a</italic>] data for the <bold>(A)</bold> MODIS-Aqua (blue dots), <bold>(B)</bold> MERIS/OLCI (green dots) and raw data (grey crosses) <bold>(C)</bold> linear regression statistics with 95% confidence intervals (shaded areas) for the QC [Chl-<italic>a</italic>] comparisons between MODIS-Aqua (blue shaded line) and MERIS/OLCI (green shaded line). The number of QC datasets used for comparative analysis (n) are indicated. The bottom panel compares the data distribution between <italic>in situ</italic> (red) and satellite-derived [Chl-<italic>a</italic>] using the Kernel density estimation (KDE) plots for <bold>(D)</bold> MODIS-Aqua (blue) and <bold>(E)</bold> MERIS/OLCI (green). <bold>(F)</bold> is a direct comparison of the ratio of <italic>in situ</italic> to satellite [Chl-<italic>a</italic>] between the two sensors (blue: MODIS-Aqua; green: MERIS/OLCI). All datasets were log-transformed prior to plotting and statistical analysis.</p>
</caption>
<graphic mimetype="image" mime-subtype="tiff" xlink:href="fmars-10-1118226-g002.tif"/>
</fig>
<p>Both sensors showed a similar [Chl-<italic>a</italic>] distribution when compared to co-located <italic>in situ</italic> [Chl-<italic>a</italic>] observations (<xref ref-type="fig" rid="f2">
<bold>Figures&#xa0;2D, E</bold>
</xref>), with MERIS/OLCI having a few data points outside the maximum range of the <italic>in situ</italic> [Chl-<italic>a</italic>] centred at ~2 ug l<sup>-1</sup> (<xref ref-type="fig" rid="f2">
<bold>Figure&#xa0;2E</bold>
</xref>). In order to better understand the distribution between the datasets, the log-transformed [Chl-<italic>a</italic>]<italic>
<sup>in situ/</sup>
</italic>[Chl-<italic>a</italic>]<italic>
<sup>satellite</sup>
</italic> ratio was determined (<xref ref-type="fig" rid="f2">
<bold>Figure&#xa0;2F</bold>
</xref>) and showed that the apex of distribution for MODIS-Aqua was closer to zero (i.e. the 1:1 line), while the majority of the data was distributed within a positive ratio for both satellites. This positive distribution is indicative of a general tendency for both sensors to underestimate <italic>in situ</italic> [Chl-<italic>a</italic>]. This was similarly evident for both sensors in the negative mean relative error (MRE) (-44.6% and -38.7% for MERIS/OLCI and MODIS-Aqua respectively) and the negative median relative errors (-32.5% and -13.9% for MERIS/OLCI and MODIS-Aqua respectively) (<xref ref-type="table" rid="T2">
<bold>Table&#xa0;2</bold>
</xref>). Similar findings (i.e. overestimation at lower [Chl-<italic>a</italic>] and underestimation at higher [Chl-a]) were reported by <xref ref-type="bibr" rid="B24">Dogliotti et&#xa0;al. (2009)</xref> for MODIS-Aqua when compared with SeaWiFS for the Argentinean Patagonian continental shelf between 38&#xb0; S and 55&#xb0; S, which they attributed to differences in phytoplankton composition across a similar range of [Chl-<italic>a</italic>].</p>
<table-wrap id="T2" position="float">
<label>Table&#xa0;2</label>
<caption>
<p>Statistical metrics used for comparison of satellite-derived and <italic>in situ</italic> [Chl-<italic>a</italic>] match-ups between the MODIS-Aqua and MERSI/OLCI sensors in the northern Benguela.</p>
</caption>
<table frame="hsides">
<thead>
<tr>
<th valign="top" rowspan="2" align="left">Statistical metrics</th>
<th valign="top" colspan="3" align="center">Satellite sensor</th>
</tr>
<tr>
<th valign="top" align="center">MERIS/OLCI</th>
<th valign="top" align="center">MODIS-Aqua</th>
<th valign="top" align="center">Full MODIS-Aqua data</th>
</tr>
</thead>
<tbody>
<tr>
<td valign="top" align="left">
<italic>n</italic>
</td>
<td valign="top" align="left">36</td>
<td valign="top" align="left">37</td>
<td valign="top" align="left">179</td>
</tr>
<tr>
<td valign="top" align="left">MRE (%)</td>
<td valign="top" align="left">-44.618</td>
<td valign="top" align="left">-38.739</td>
<td valign="top" align="left">-7.443</td>
</tr>
<tr>
<td valign="top" align="left">MARE</td>
<td valign="top" align="left">0.803</td>
<td valign="top" align="left">0.279</td>
<td valign="top" align="left">0.429</td>
</tr>
<tr>
<td valign="top" align="left">RMSE</td>
<td valign="top" align="left">0.445</td>
<td valign="top" align="left">0.393</td>
<td valign="top" align="left">0.320</td>
</tr>
<tr>
<td valign="top" align="left">Median</td>
<td valign="top" align="left">0.332 <italic>
<sup>in situ;</sup>
</italic> 0.224 <sup>satellite</sup>
</td>
<td valign="top" align="left">0.305 <italic>
<sup>in situ;</sup>
</italic> 0.263 <sup>satellite</sup>
</td>
<td valign="top" align="left">0.408 <italic>
<sup>in situ;</sup>
</italic> 0.227 <sup>satellite</sup>
</td>
</tr>
<tr>
<td valign="top" align="left">MedRE (%)</td>
<td valign="top" align="left">-32.354</td>
<td valign="top" align="left">-13.902</td>
<td valign="top" align="left">-44</td>
</tr>
<tr>
<td valign="top" align="left">Ratio*</td>
<td valign="top" align="left">1.649</td>
<td valign="top" align="left">2.138</td>
<td valign="top" align="left">0.182</td>
</tr>
<tr>
<td valign="top" align="left">Bias</td>
<td valign="top" align="left">0.009</td>
<td valign="top" align="left">0.008</td>
<td valign="top" align="left">0.002</td>
</tr>
<tr>
<td valign="top" align="left">Slope</td>
<td valign="top" align="left">0.776</td>
<td valign="top" align="left">0.547</td>
<td valign="top" align="left">0.478</td>
</tr>
</tbody>
</table>
<table-wrap-foot>
<fn>
<p>*: mean Chl-a <sup>in situ/</sup>Chl-a <sup>sat</sup> ratio.</p>
</fn>
<fn>
<p>
<italic>n</italic>: number of data matchups.</p>
</fn>
</table-wrap-foot>
</table-wrap>
<p>Comparison of MODIS-Aqua to <italic>in situ</italic> [Chl-<italic>a</italic>] for the full dataset (n=179) (i.e. not limited to the time period that coincided with MERIS/OLCI), showed similar statistical results (data distribution and error margins) (<xref ref-type="fig" rid="f3">
<bold>Figures&#xa0;3A, B</bold>
</xref>). An overall [Chl-<italic>a</italic>] underestimation tendency is similarly observed as shown in <xref ref-type="fig" rid="f3">
<bold>Figures&#xa0;3C</bold>
</xref>, C inset), the statistical metrics of which (MRE, MARE, RMSE, MedRE and Bias) are also summarised in <xref ref-type="table" rid="T2">
<bold>Table&#xa0;2</bold>
</xref>, with a tendency to overestimate at very low [Chl-<italic>a</italic>] concentrations (<xref ref-type="fig" rid="f3">
<bold>Figure&#xa0;3D</bold>
</xref>). Overall, it can be observed from the log ratio distribution in <xref ref-type="fig" rid="f3">
<bold>Figure&#xa0;3D</bold>
</xref> that the MODIS-Aqua satellite algorithm compared well with <italic>in situ</italic> measurements and that the error margins improved when the expanded full data matchups were used.</p>
<fig id="f3" position="float">
<label>Figure&#xa0;3</label>
<caption>
<p>Comparison between full (n = 179) <italic>in situ</italic> [Chl-<italic>a</italic>] dataset and MODIS-Aqua satellite match-up retrievals. <bold>(A)</bold> Raw and quality controlled datasets, <bold>(B)</bold> Linear statistical regression of QC Chl-a between <italic>in situ</italic> and MODIS-Aqua match-ups, <bold>(C)</bold> Comparative overview of [Chl-<italic>a</italic>] distribution from <italic>in situ</italic> and MODIS-Aqua using the Kernel density estimate plots and boxplots (inset). The dotted vertical lines indicate the mean [Chl-<italic>a</italic>] and <bold>(D)</bold> distribution plot of log-transformed [Chl-<italic>a</italic>]<italic>
<sup>in situ/</sup>
</italic>[Chl-<italic>a</italic>]<italic>
<sup>satellite</sup>
</italic> ratio.</p>
</caption>
<graphic mimetype="image" mime-subtype="tiff" xlink:href="fmars-10-1118226-g003.tif"/>
</fig>
</sec>
<sec id="s3_2">
<label>3.2</label>
<title>Deriving phytoplankton optical fingerprints from ocean colour remote sensing</title>
<sec id="s3_2_1">
<label>3.2.1</label>
<title>Remote sensing reflectance</title>
<p>
<xref ref-type="fig" rid="f4">
<bold>Figure&#xa0;4</bold>
</xref> shows the <italic>Rrs</italic> characteristics across 10 spectral wave bands in the visible range for oceanic waters dominated by different phytoplankton community groups, namely diatoms, HB and LB dinoflagellates, flagellates and mixed assemblage. These <italic>Rrs</italic> spectra showed considerable differences in magnitude and shape among the phytoplankton groups, which is subsequently exploited for deriving optical fingerprints that are characteristic for specific groups. For example, the <italic>Rrs</italic> minima observed in the longer wavelengths (i.e. red region: 645, 667 and 678 nm) is evident for all phytoplankton groups except HB dinoflagellates, whose <italic>Rrs</italic> minima is in the shorter violet/blue region (412/443 nm) (<xref ref-type="fig" rid="f4">
<bold>Figure&#xa0;4</bold>
</xref>). LB dinoflagellates had a characteristic maxima in the violet/blue region (412/443 nm) of the spectra, while for both HB dinoflagellates and flagellates, the <italic>Rrs</italic> magnitude increased with increasing wavelength from violet/blue-to-green with the <italic>Rrs</italic> maxima located in the green spectral region (555 nm) for HB dinoflagellates &amp; (547 nm) for flagellates.</p>
<fig id="f4" position="float">
<label>Figure&#xa0;4</label>
<caption>
<p>The remote sensing spectral reflectance (<italic>Rrs</italic>) in the visible range of the spectrum with wavebands at 412, 443, 469, 488, 531, 547, 555, 645, 667 and 678 for samples from the nBUS waters dominated by the phytoplankton groups (Diatoms, flagellates, low (LB) and high (HB) biomass dinoflagellates and Mixed assemblage from the MODIS-Aqua satellite sensor are shown in the left panel. The cyan line indicates the mean <italic>Rrs</italic> at each spectral band and the number of match-ups (n) are indicated. The coloured bars on the right panel represent the corresponding % phytoplankton community composition at each station per phytoplankton group. The colours refer to diatoms (green), LB dinoflagellates (turquoise), HB dinoflagellates (blue), flagellates (purple), coccolithophores (red), cryptophytes (orange), cyanobacteria (black) and other/unknown (yellow).</p>
</caption>
<graphic mimetype="image" mime-subtype="tiff" xlink:href="fmars-10-1118226-g004.tif"/>
</fig>
</sec>
<sec id="s3_2_2">
<label>3.2.2</label>
<title>Remote sensing reflectance spectral band-ratios</title>
<p>Multiple spectral band-ratios were investigated to identify optical signatures typical of waters dominated by the various phytoplankton groups under investigation. Boxplots of band-ratios were used to assign thresholds associated with the probability of dominance by each group based on the 25<sup>th</sup> and 75<sup>th</sup> percentiles of the datasets (<xref ref-type="fig" rid="f5">
<bold>Figures&#xa0;5A&#x2013;D</bold>
</xref>). The <italic>green/violet</italic>, <italic>blue/violet</italic>, <italic>violet/violet</italic>, <italic>blue/blue</italic> and <italic>red/violet</italic> spectral band-ratios yielded no obvious unique spectral thresholds that may be assigned to dominance of any group as the data distribution (box plots) were within similar overlapping ranges (data not shown). However, characteristic dual spectral band-ratio thresholds were identified for <italic>red/blue (Rrs</italic>678<italic>/Rrs</italic>488), <italic>green/green</italic> (<italic>Rrs</italic>547/<italic>Rrs</italic>531), <italic>red/red</italic> (<italic>Rrs</italic>645/<italic>Rrs</italic>678) and <italic>green</italic>/<italic>blue</italic> (<italic>Rrs</italic>555/<italic>Rrs</italic>488) ratios that could describe a high probability for the presence of diatoms, LB dinoflagellates, HB dinoflagellates, flagellates and mixed communities. These differentiations are graphically represented in <xref ref-type="fig" rid="f5">
<bold>Figures&#xa0;5A&#x2013;D</bold>
</xref> and the threshold values summarised in <xref ref-type="table" rid="T3">
<bold>Table&#xa0;3</bold>
</xref>. The LB dinoflagellates had characteristically low <italic>red/blue</italic>, <italic>green/green</italic> and <italic>green</italic>/<italic>blue</italic> ratios, while diatoms occupied an intermediate <italic>green/green</italic> and <italic>green</italic>/<italic>blue</italic> band-ratios. The HB dinoflagellates had characteristically high <italic>green/green</italic>, <italic>red/red</italic> and <italic>green</italic>/<italic>blue</italic> band-ratios (<xref ref-type="fig" rid="f5">
<bold>Figures&#xa0;5A&#x2013;D</bold>
</xref> blue shading). Although HB dinoflagellates typically had a higher <italic>red</italic>/<italic>blue</italic> ratio than diatoms, they expressed a large overlap (<xref ref-type="fig" rid="f5">
<bold>Figure&#xa0;5A</bold>
</xref> teal shading). Flagellates overlapped the mixed assemblage in the <italic>green</italic>/<italic>green</italic> ratio (<xref ref-type="fig" rid="f5">
<bold>Figure&#xa0;5B</bold>
</xref> magenta shading) but occupied a relatively unique, yet narrow distribution band in the <italic>red</italic>/<italic>blue</italic> ratio (<xref ref-type="fig" rid="f5">
<bold>Figure&#xa0;5A</bold>
</xref> purple shading), while the mixed community had a distinct <italic>red</italic>/<italic>red</italic> band-ratio (<xref ref-type="fig" rid="f5">
<bold>Figure&#xa0;5C</bold>
</xref> orange shading).</p>
<fig id="f5" position="float">
<label>Figure&#xa0;5</label>
<caption>
<p>Boxplots of the dual-spectral band ratios for waters associated with dominance of diatoms, LB dinoflagellates (LB_dino), flagellates, mixed community and HB dinoflagellates (HB_dino). The thresholds of the <italic>red/blue</italic> (<italic>Rrs</italic>678/<italic>Rrs</italic>488) <bold>(A)</bold>, <italic>green/green</italic> (<italic>Rrs</italic>547/<italic>Rrs</italic>531) <bold>(B)</bold>, <italic>red/red</italic> (<italic>Rrs</italic>645/<italic>Rrs</italic>678) <bold>(C, D)</bold> <italic>green</italic>/<italic>blue</italic> (<italic>Rrs</italic>555/<italic>Rrs</italic>488) band-ratios are indicated by the dashed horizontal lines and colour shaded bands (light green = Diatoms; cyan = LB dinoflagellates, purple = Flagellates, blue = HB dinoflagellates, orange = Mixed, teal = Diatoms/HB dinoflagellates, magenta = Flagellates/Mixed). Statistical parameters such as the median, mean and outliers are indicated as the red line, red diamond and white circles respectively.</p>
</caption>
<graphic mimetype="image" mime-subtype="tiff" xlink:href="fmars-10-1118226-g005.tif"/>
</fig>
<table-wrap id="T3" position="float">
<label>Table&#xa0;3</label>
<caption>
<p>Summary of MODIS-Aqua spectral threshold characteristics for waters dominated by various phytoplankton groups in the nBUS.</p>
</caption>
<table frame="hsides">
<thead>
<tr>
<th valign="top" rowspan="3" align="left">Phytoplankton group</th>
<th valign="top" colspan="8" align="center">MODIS-Aqua remote sensing variables</th>
</tr>
<tr>
<th valign="bottom" colspan="5" align="center">Band-ratios</th>
<th valign="bottom" colspan="2" align="center">Spectral band difference</th>
<th valign="bottom" rowspan="2" align="center">Log Chla</th>
</tr>
<tr>
<th valign="top" align="center">Red: Blue<break/>(488/678)</th>
<th valign="top" align="center">Green: Green<break/>(547/531)</th>
<th valign="top" align="center">Red: Red<break/>(645/678)</th>
<th valign="top" align="center">RNR<break/>(748/667)</th>
<th valign="top" align="center">Green: Blue<break/>(555/488)</th>
<th valign="bottom" align="center">nFLH</th>
<th valign="bottom" align="center">LH531</th>
</tr>
</thead>
<tbody>
<tr>
<td valign="top" align="left">Diatoms</td>
<td valign="top" align="left">&gt;0.363</td>
<td valign="top" align="left">&gt;0.952<break/>&lt;1.214</td>
<td valign="top" align="center">&#x2013;</td>
<td valign="top" align="left">&gt;0.221<break/>&lt;0.593</td>
<td valign="top" align="left">&gt;1.031<break/>&lt;2.073</td>
<td valign="top" align="left">&gt;0.392</td>
<td valign="top" align="left">&gt;-0.189<break/>&lt; 0.231</td>
<td valign="top" align="left">&gt;0.385<break/>&lt; 1.264</td>
</tr>
<tr>
<td valign="top" align="left">LB dinoflagellates</td>
<td valign="top" align="left">&gt;0.064<break/>&lt;0.189</td>
<td valign="top" align="left">&gt;0.758<break/>&lt;0.875</td>
<td valign="top" align="center">&#x2013;</td>
<td valign="top" align="left">&gt;0.029<break/>&lt;0.221</td>
<td valign="top" align="left">&gt;0.496<break/>&lt;0.792</td>
<td valign="top" align="left">&gt;0.124<break/>&lt;0.186</td>
<td valign="top" align="center">&#x2013;</td>
<td valign="top" align="left">&gt;-0.030<break/>&lt; 0.189</td>
</tr>
<tr>
<td valign="top" align="left">Flagellates</td>
<td valign="top" align="left">&gt;0.266<break/>&lt;0.363</td>
<td valign="top" align="left">&gt;0.875<break/>&lt;0.952</td>
<td valign="top" align="center">&#x2013;</td>
<td valign="top" align="center">&#x2013;</td>
<td valign="top" align="center">&#x2013;</td>
<td valign="top" align="left">&gt;0.294<break/>&lt;0.392</td>
<td valign="top" align="center">&#x2013;</td>
<td valign="top" align="center">&#x2013;</td>
</tr>
<tr>
<td valign="top" align="left">Mixed community</td>
<td valign="top" align="center">&#x2013;</td>
<td valign="top" align="left">&gt;0.875<break/>&lt;0.952</td>
<td valign="top" align="left">&gt;0.844<break/>&lt;0.988</td>
<td valign="top" align="center">&#x2013;</td>
<td valign="top" align="center">&#x2013;</td>
<td valign="top" align="left">&gt;0.186<break/>&lt;0.294</td>
<td valign="top" align="center">&#x2013;</td>
<td valign="top" align="center">&#x2013;</td>
</tr>
<tr>
<td valign="top" align="left">HB dinoflagellates</td>
<td valign="top" align="left">&gt;0.363</td>
<td valign="top" align="left">&gt; 1.214</td>
<td valign="top" align="left">&gt;0.988</td>
<td valign="top" align="left">&gt;0.593</td>
<td valign="top" align="left">&gt;2.073</td>
<td valign="top" align="left">&gt;0.392</td>
<td valign="top" align="left">&gt;-0.365<break/>&lt;-0.189</td>
<td valign="top" align="left">&gt;1.264</td>
</tr>
<tr>
<td valign="top" align="left">Low <italic>Rrs</italic> signal</td>
<td valign="top" align="left">&lt;0.064</td>
<td valign="top" align="left">&lt;0.758</td>
<td valign="top" align="center">&#x2013;</td>
<td valign="top" align="left">&lt;0.029</td>
<td valign="top" align="left">&lt;0.496</td>
<td valign="top" align="left">&lt;0.124</td>
<td valign="top" align="left">&lt;-0.365</td>
<td valign="top" align="left">&lt;-0.030</td>
</tr>
</tbody>
</table>
</table-wrap>
</sec>
<sec id="s3_2_3">
<label>3.2.3</label>
<title>Spectral band difference, <italic>RNR</italic> and [Chl-<italic>a</italic>]</title>
<p>The characteristic spectral band difference, <italic>RNR</italic> and [Chl-<italic>a</italic>] for detection of conditions associated with dominance of diatoms, LB dinoflagellates, HB dinoflagellates, flagellates and mixed communities were investigated and are graphically represented in <xref ref-type="fig" rid="f6">
<bold>Figure&#xa0;6</bold>
</xref>, with thresholds indicated. The threshold values for spectral band difference are summarised in <xref ref-type="table" rid="T3">
<bold>Table&#xa0;3</bold>
</xref>. Both diatom and HB dinoflagellate-dominated waters shared a characteristic of high nFLH (<xref ref-type="fig" rid="f6">
<bold>Figure&#xa0;6A</bold>
</xref>, teal shade), although diatoms displayed the highest nFLH by comparison. However, HB dinoflagellates had a higher <italic>RNR</italic> and [Chl-<italic>a</italic>] biomass and a lower line height at 531 nm (LH531) than diatoms (<xref ref-type="fig" rid="f6">
<bold>Figures&#xa0;6B&#x2013;D</bold>
</xref>). Although generally having similar spectral features to other phytoplankton groups, the flagellate-dominated waters represent a discernible nFLH range between diatoms and dinoflagellates (<xref ref-type="fig" rid="f6">
<bold>Figure&#xa0;6A</bold>
</xref>, purple shade). Unlike their high biomass counterparts, the LB dinoflagellates had the lowest nFLH, <italic>RNR</italic> and were generally dominant in low [Chl-<italic>a</italic>] conditions (<xref ref-type="fig" rid="f6">
<bold>Figures&#xa0;6A&#x2013;C</bold>
</xref>). The spectral band difference and [Chl-<italic>a</italic>] features of the mixed community showed no unique characteristics and were thus indistinguishable from other groups using these approaches. It should be noted that several line heights were calculated at various spectral wavelengths and were distributed similarly for all the groups (data not shown). Generally, variability in line height was observed in the green spectral regions (531, 547 and 555 nm) with a resolution between diatoms and HB dinoflagellates while the remaining groups showed no obvious line height thresholds unique to them. Important to note is that a final category was defined as &#x201c;low <italic>Rrs</italic> signal&#x201d;, where the <italic>Rrs</italic> signal was considered too low to confidently retrieve any discernible signal due to a low signal-to-noise ratio, these low <italic>Rrs</italic> criteria were defined by the lowest 25th percentile of the distribution of each <italic>Rrs</italic> variable and are summarised in <xref ref-type="table" rid="T3">
<bold>Table&#xa0;3</bold>
</xref>.</p>
<fig id="f6" position="float">
<label>Figure&#xa0;6</label>
<caption>
<p>Boxplots of <bold>(A)</bold> nFLH, <bold>(B)</bold> RNR, <bold>(C)</bold> log-transformed [Chl-<italic>a</italic>] and <bold>(D)</bold> line height at 531 nm (LH531) for waters associated with dominance of Diatoms, LB dinoflagellates (LB_dino), Flagellates, HB dinoflagellates (HB_dino) and Mixed communities. The threshold ranges are indicated by the dotted horizontal lines and colour schemes (green = Diatoms; cyan = LB_dino; purple = Flagellates; blue = HB_dino; red = Mixed; teal scale = Diatoms/HB dinoflagellates). The median, mean and outliers are indicated as the bold black line, red diamond and white circles respectively.</p>
</caption>
<graphic mimetype="image" mime-subtype="tiff" xlink:href="fmars-10-1118226-g006.tif"/>
</fig>
</sec>
</sec>
<sec id="s3_3">
<label>3.3</label>
<title>Algorithm development</title>
<p>Our approach to detecting phytoplankton community characteristics from space investigates statistical thresholds based on [Chl-<italic>a</italic>] biomass, dual band-ratios and spectral band differences to exploit small variations in the <italic>Rrs</italic> characteristics associated with dominance of specific phytoplankton groups. If the <italic>Rrs</italic> spectrum from a pixel is within a range defined by the threshold values for waters associated with the dominance of a particular phytoplankton group, then it is assigned to reflect the likelihood of that phytoplankton group being dominant. These thresholds are summarised in <xref ref-type="table" rid="T3">
<bold>Table&#xa0;3</bold>
</xref>.</p>
<p>Given the identified thresholds for the various phytoplankton groups from the remote sensing variables indicated in <xref ref-type="table" rid="T3">
<bold>Table&#xa0;3</bold>
</xref>, the next step was to determine the most suitable variables for algorithm development. To do this, we assess 1) the algorithms&#x2019; ability to confidently classify/distinguish multiple phytoplankton groups, 2) the characteristics of the linear relationship between the variables in <xref ref-type="table" rid="T3">
<bold>Table&#xa0;3</bold>
</xref> and [Chl-<italic>a</italic>], with the understanding that biomass is likely to influence the spectral characteristics of <italic>Rrs</italic> and 3) the range in [Chl-<italic>a</italic>] that is typical for each of the defined thresholds for the various phytoplankton groups, favouring variables that allow for the classification of a number of phytoplankton groups within a similar range of [Chl-<italic>a</italic>]. While some algorithms are suitable for detection of specific phytoplankton groups during high biomass blooms, we embark on developing an algorithm that is suitable for the detection of dominant groups even in low [Chl-<italic>a</italic>] (non-bloom) conditions. To assist with the assessment of these criteria, we examined the linear relationship between the <italic>Rrs</italic> variables and [Chl-<italic>a</italic>] (<xref ref-type="fig" rid="f7">
<bold>Figures&#xa0;7A&#x2013;F</bold>
</xref>). Each of the three criteria is presented in detail below:</p>
<fig id="f7" position="float">
<label>Figure&#xa0;7</label>
<caption>
<p>Linear regression analysis between [Chl-<italic>a</italic>] against the <bold>(A)</bold> <italic>red/blue</italic>, <bold>(B)</bold> green/<italic>blue</italic>, <bold>(C)</bold> <italic>green/green</italic>, <bold>(D)</bold> nFLH, <bold>(E)</bold> <italic>red/red</italic> and <bold>(F)</bold> RNR band-ratio,algorithms, [Chl-a] data was log-transformed prior to analysis. The linear regression is shown by the dashed orange line. The black dotted line represents the theoretical 1:1 relationship. The coefficient of determination (R<sup>2</sup>), slope, intercepts and number of samples (<italic>N</italic>) are indicated. The samples representing dominance by diatoms, LB dinoflagellates (LB_dino), HB dinoflagellates (HB_dino), flagellates and mixed communities are indicated as green, cyan, blue, purple and orange dots respectively. The shaded areas denote the unique spectral characteristic thresholds for each group (green = diatoms, cyan = LB dinoflagellates, orange = mixed, purple = flagellates, blue = HB dinoflagellates, magenta = mixed/flagellates, teal = diatoms/HB dinoflagellates).</p>
</caption>
<graphic mimetype="image" mime-subtype="tiff" xlink:href="fmars-10-1118226-g007.tif"/>
</fig>
<p>
<bold>1) Can the <italic>Rrs</italic> variable confidently distinguish multiple PFTs?</bold>
</p>
<p>In <xref ref-type="fig" rid="f7">
<bold>Figure&#xa0;7A</bold>
</xref>, the <italic>red/blue</italic> ratio defining flagellates and LB dinos are tightly clustered together with a low range of variability in the optical identifier making it difficult to distinguish them from each other. In addition, there was overlap in the range of diatoms and HB dinos. In <xref ref-type="fig" rid="f7">
<bold>Figure&#xa0;7E</bold>
</xref>, although more broad, it is clear that the majority of PFTs share a similar range of variability in the red/red ratio hampering an ability to identify the majority of PFTs.</p>
<p>
<bold>2) Is variability in the <italic>Rrs</italic> signal biomass dependent?</bold>
</p>
<p>A strong positive linear relationship and slope close to 1 was observed between [Chl-<italic>a</italic>] and the <italic>red</italic>/<italic>blue</italic> (r<sup>2</sup>= 0.721, slope = 0,784) and <italic>green</italic>/<italic>blue</italic> band-ratios (r<sup>2</sup>= 0.947, slope = 0.958) (<xref ref-type="fig" rid="f7">
<bold>Figures&#xa0;7A, B</bold>
</xref>, respectively), suggesting that these optical signals were, for the most part, biomass-driven. This is not surprising as the global ocean colour remote sensing algorithms for [Chl-<italic>a</italic>] retrieval from the MODIS-Aqua are based on the ratio of the red, blue and green spectral bands. Using biomass as a criteria (or any other variable that is strongly dictated by biomass) constrains the algorithm&#x2019;s ability to detect a particular phytoplankton group outside of the assigned biomass range. This is highlighted by the absence of any overlap (i.e. vertical stacking) of the PFT boxes defined by the green/blue ratio in <xref ref-type="fig" rid="f7">
<bold>Figure&#xa0;7B</bold>
</xref>.</p>
<p>
<bold>3) Is there overlap in the range of [Chl-<italic>a</italic>] for different PFTs?</bold>
</p>
<p>Although the <italic>green</italic>/<italic>green</italic> band-ratio (<xref ref-type="fig" rid="f7">
<bold>Figure&#xa0;7C</bold>
</xref>) showed a similar positive linear relationship with [Chl-<italic>a</italic>] (r<sup>2</sup>= 0.784), it had a much lower slope (slope = 0.207), while nFLH and RNR both displayed weak linear relationships and lower slopes (r<sup>2</sup>= 0.455, slope = 0.364, <xref ref-type="fig" rid="f7">
<bold>Figure&#xa0;7D</bold>
</xref> and r<sup>2</sup>= 0.415, slope = 0.236, <xref ref-type="fig" rid="f7">
<bold>Figure&#xa0;7F</bold>
</xref>, respectively). When the slope is more gradual (i.e. <xref ref-type="fig" rid="f7">
<bold>Figure&#xa0;7C, D, F</bold>
</xref>), the range in [Chl-<italic>a</italic>] encompassed for each <italic>Rrs</italic> identifier is broader. Moreover, for these optical signatures, there is a larger range of variability evident in the <italic>Rrs</italic> identifiers for a similar range in [Chl-<italic>a</italic>] concentration. This is highlighted by the overlap in [Chl-a] among the groups but with varying <italic>Rrs</italic> signatures (i.e. the vertical stacking of PFT boxes across a similar range of [Chl-<italic>a</italic>]).</p>
<p>Given the above, the <italic>red/blue</italic> (<xref ref-type="fig" rid="f7">
<bold>Figure&#xa0;7A</bold>
</xref>), <italic>green/blue</italic> (<xref ref-type="fig" rid="f7">
<bold>Figure&#xa0;7B</bold>
</xref>), and <italic>red/red</italic> (<xref ref-type="fig" rid="f7">
<bold>Figure&#xa0;7E</bold>
</xref>) band-ratios were not considered further and eliminated as viable variables for further algorithm formulation. On the other hand, nFLH and the <italic>green</italic>/<italic>green</italic> band-ratio were considered the most suitable candidates for further development of the phytoplankton PFT algorithm. In addition, the <italic>RNR</italic> spectral band-ratio was also considered, in particular as a means of discriminating dinoflagellates from diatoms under high biomass conditions (i.e. when [Chl-<italic>a</italic>] &gt; 8).</p>
<p>Unsurprisingly, there are overlaps in some optical signatures of different phytoplankton groups. For instance, both diatoms and HB dinoflagellates have an overlapping nFLH range (0.392) (<xref ref-type="fig" rid="f7">
<bold>Figure&#xa0;7D</bold>
</xref>, teal shading) and both flagellates and mixed communities share a similar range in the <italic>green/green</italic> ratio (<xref ref-type="fig" rid="f7">
<bold>Figure&#xa0;7C</bold>
</xref>, magenta shading). However, they have other unique signatures that allow a combination of criteria to be used to separate them out. For example, in the case of diatoms and HB dinoflagellates we use the <italic>green/green</italic> and <italic>RNR</italic> band-ratios to distinguish the two groups (<xref ref-type="fig" rid="f8">
<bold>Figure&#xa0;8A</bold>
</xref>). That is, if nFLH is &gt; 0.392 then that pixel can be classified as either a diatom or a HB dinoflagellate. However, if the <italic>RNR</italic> is &gt; 0.593 and the <italic>green/green</italic> ratio is &gt;1.214 then that pixel is more likely to be dominated by HB dinoflagellates and as such is assigned that category. However, if the <italic>green</italic>/<italic>green</italic> ratio is&lt;1.214 and the <italic>RNR</italic> is&lt; 0.593 then it is more likely a diatom and is assigned as such within the given nFLH range. The use of combined algorithms of spectral characteristics increases the robustness and reliability of the algorithm, while at the same time allowing groups to be detected across a broad range of [Chl-<italic>a</italic>]. For example, diatoms can be detected across the full range of their green/green and nFLH criteria, so long as the <italic>RNR</italic> is not high, in which case it is assigned to HB dinos.</p>
<fig id="f8" position="float">
<label>Figure&#xa0;8</label>
<caption>
<p>
<bold>(A)</bold> Discrimination of diatom from dinoflagellate blooms based on differences in their RNR signals given their shared high <italic>green</italic>/<italic>green</italic> (&gt;1.214) band-ratio and nFLH (&gt;0.392) spectral characteristics. <bold>(B)</bold> Flagellates and the mixed communities are distinguished based on their nFLH spectral characteristics given their similarities in their green/green. and nFLH spectral characteristics. The blue, orange and purple colour shadings indicate the spectral characteristics unique to HB dinoflagellates, mixed community and flagellates respectively.</p>
</caption>
<graphic mimetype="image" mime-subtype="tiff" xlink:href="fmars-10-1118226-g008.tif"/>
</fig>
<p>Similarly, in the case of flagellates and mixed communities, despite an overlap in their <italic>green/green</italic> ratio, they could be distinguished from each other based on the unique statistical signature within their nFLH distribution (<xref ref-type="fig" rid="f6">
<bold>Figure&#xa0;6A</bold>
</xref>). That is, a pixel with a <italic>green</italic>/<italic>green</italic> band-ratio between 0.875 and 0.952 could be classified as either flagellate-dominated or a mixed community. However, if the nFLH is between 0.294 and 0.392 then it would be assigned to reflect flagellate dominance, whereas if the nFLH is between 0.186 and 0.294 it would reflect a mixed community (<xref ref-type="fig" rid="f8">
<bold>Figure&#xa0;8B</bold>
</xref>). LB dinoflagellates on the other hand have a distinct <italic>green</italic>/<italic>green</italic> band-ratio and nFLH threshold, and unlike diatoms, HB dinoflagellates, flagellates and mixed community, were distinguished using individual thresholds of the <italic>green</italic>/<italic>green</italic> band-ratio and nFLH for their detection. Pixels are regarded as &#x2018;other/unknown&#x2019; phytoplankton when no algorithm threshold criteria is met. A flowchart of the algorithm decision making tree (application) for discrimination and classification of the various phytoplankton groups in the nBUS is shown in <xref ref-type="supplementary-material" rid="SM1">
<bold>Figure S2</bold>
</xref> of the <xref ref-type="supplementary-material" rid="SM1">
<bold>Supplementary Material</bold>
</xref>.</p>
</sec>
<sec id="s3_4">
<label>3.4</label>
<title>Algorithm validation</title>
<p>The algorithm was tested for accuracy and compared against randomly selected independent <italic>in situ</italic> datasets for diatoms. Unfortunately, this was only possible to do with diatoms, as this was the only phytoplankton group that dominated at enough stations to allow partitioning of the datasets into testing and validation groups. All other groups had so few stations in which they dominated that all had to be used to derive the most robust algorithm possible. The diatom validation was achieved by comparing observations with predictions (considered when <italic>in situ</italic> validation datasets&#x2019; <italic>Rrs</italic> spectra fell within the algorithm detection thresholds). It should be noted that diatom dominance of validation datasets were similarly defined using the same criteria used to define diatom dominance for training datasets. A total of 7 datasets were used for validation of the diatom detection component of the algorithm for the nBUS. The quantitative validation results for diatoms, calculated as overall accuracy of the algorithm, was calculated as follows:</p>
<disp-formula>
<label>(5)</label>
<mml:math display="block" id="M5">
<mml:mrow>
<mml:mi mathvariant="bold-italic">A</mml:mi>
<mml:mi mathvariant="bold-italic">l</mml:mi>
<mml:mi mathvariant="bold-italic">g</mml:mi>
<mml:mi mathvariant="bold-italic">o</mml:mi>
<mml:mi mathvariant="bold-italic">r</mml:mi>
<mml:mi mathvariant="bold-italic">i</mml:mi>
<mml:mi mathvariant="bold-italic">t</mml:mi>
<mml:mi mathvariant="bold-italic">h</mml:mi>
<mml:mi mathvariant="bold-italic">m</mml:mi>
<mml:mo>&#xa0;</mml:mo>
<mml:mi mathvariant="bold-italic">a</mml:mi>
<mml:mi mathvariant="bold-italic">c</mml:mi>
<mml:mi mathvariant="bold-italic">c</mml:mi>
<mml:mi mathvariant="bold-italic">u</mml:mi>
<mml:mi mathvariant="bold-italic">r</mml:mi>
<mml:mi mathvariant="bold-italic">a</mml:mi>
<mml:mi mathvariant="bold-italic">c</mml:mi>
<mml:mi mathvariant="bold-italic">y</mml:mi>
<mml:mo>&#xa0;</mml:mo>
<mml:mo mathvariant="bold">=</mml:mo>
<mml:mo>&#xa0;</mml:mo>
<mml:mrow>
<mml:mo stretchy="false">(</mml:mo>
<mml:mrow>
<mml:mfrac>
<mml:mrow>
<mml:mi mathvariant="bold-italic">C</mml:mi>
<mml:mi mathvariant="bold-italic">c</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mi mathvariant="bold-italic">T</mml:mi>
<mml:mi mathvariant="bold-italic">c</mml:mi>
</mml:mrow>
</mml:mfrac>
</mml:mrow>
<mml:mo stretchy="false">)</mml:mo>
</mml:mrow>
<mml:mo>&#xa0;</mml:mo>
<mml:mo mathvariant="bold">&#xd7;</mml:mo>
<mml:mo>&#xa0;</mml:mo>
<mml:mn mathvariant="bold">100</mml:mn>
<mml:mo mathvariant="bold">%</mml:mo>
</mml:mrow>
</mml:math>
</disp-formula>
<p>where Cc is the correct classifications and Tc is the total classification from the independent diatom dominance datasets not used in the algorithm training datasets. We compared the optical characteristics of the validation data for stations dominated by diatoms against the algorithm thresholds and our algorithm compared well with the independent <italic>in situ</italic> observations of diatom dominance. Of the 7 stations, 5 matched with algorithm thresholds (i.e. were correctly classified by the algorithm). This translates to a percentage accuracy of 71.429%. The validation results demonstrate the algorithm&#x2019;s ability to translate MODIS-Aqua <italic>Rrs</italic> observations to distributions of phytoplankton communities in the nBUS. The diatom-dominated stations that were not correctly classified had lower <italic>green/green</italic> and nFLH values that were below our algorithm&#x2019;s minimum detection thresholds. In addition, they occurred in waters with low [Chl-<italic>a</italic>] that were between 1-2 &#x3bc;g l<sup>-1</sup>. However, we were able to correctly classify 3 stations of diatoms within the same [Chl-<italic>a</italic>] range based on their <italic>Rrs</italic> characteristics.</p>
<p>Although we did not have sufficient <italic>in situ</italic> HB dinoflagellate dominated station data to validate the algorithm, we were able to demonstrate its ability to detect a known dinoflagellate bloom identified in the southern Namaqua Benguela upwelling system 3.5 km from Lambert&#x2019;s Bay (Cape Town, South Africa) in the sBUS (<xref ref-type="bibr" rid="B28">Fawcett et&#xa0;al., 2007</xref>) (<xref ref-type="fig" rid="f9">
<bold>Figure&#xa0;9</bold>
</xref>).</p>
<fig id="f9" position="float">
<label>Figure&#xa0;9</label>
<caption>
<p>Evidence of the algorithm&#x2019;s ability to detect a known harmful dinoflagellate bloom in the sBUS (<xref ref-type="bibr" rid="B28">Fawcett et&#xa0;al., 2007</xref>). The sampled coastal station in Lamert&#x2019;s Bay is indicated by the orange diamond.</p>
</caption>
<graphic mimetype="image" mime-subtype="tiff" xlink:href="fmars-10-1118226-g009.tif"/>
</fig>
</sec>
</sec>
<sec id="s4" sec-type="discussion">
<label>4</label>
<title>Discussion</title>
<p>Forming the base of marine food webs, phytoplankton are key ecological role players in upwelling systems and the global ocean. Knowledge of their composition and their regional, seasonal and interannual distribution and trends is key to understanding possible climate-linked ecosystem changes with implications on ecosystem health, economy, food security and climate response. Satellite remote sensing is one of the only tools that can provide the spatial, temporal and multi-decadal data information on phytoplankton needed to adequately investigate their important role in ecosystem function. Thus, there is a need for ocean colour remote sensing algorithms that can discriminate between phytoplankton functional types. Discrimination between diatoms and dinoflagellates is particularly relevant to ecology, local aquaculture and recreational activities as some of the bloom-forming and toxin-producing species belonging to these groups have been reported in the nBUS (<xref ref-type="bibr" rid="B23">Dijerenge, 2015</xref>; <xref ref-type="bibr" rid="B57">Louw et&#xa0;al., 2017</xref>; <xref ref-type="bibr" rid="B31">Gai et&#xa0;al., 2018</xref>), which may be harmful to both marine life and humans. Substantial work has been done using ocean colour algorithms and modelling techniques to detect phytoplankton community structure in the southern Benguela (<xref ref-type="bibr" rid="B10">Bernard et&#xa0;al., 2005</xref>; <xref ref-type="bibr" rid="B3">Aiken et&#xa0;al., 2007</xref>; <xref ref-type="bibr" rid="B27">Evers-King, 2014</xref>; <xref ref-type="bibr" rid="B82">Smith and Bernard, 2020</xref>), but none as yet for the northern Benguela. This study is the first to derive an ocean colour remote sensing algorithm for the nBUS using a large compiled <italic>in situ</italic> microscopy dataset with satellite match-ups for detection and mapping of the most frequently encountered phytoplankton groups.</p>
<sec id="s4_1">
<label>4.1</label>
<title>Determining the most appropriate satellite sensor for algorithm development</title>
<p>The first step in this endeavour was to determine which satellite product to use based on the availability of spectral bands in the red and near infrared regions. We approached this decision by comparing the two available ocean colour remote sensing algorithms of [Chl-<italic>a</italic>] to <italic>in situ</italic> measurements in order to test how well they performed in the high biomass coastal waters of the nBUS. MODIS-Aqua provided more data near the 1:1 ratio than MERIS/OLCI, suggesting a good approximation of <italic>in situ</italic> [Chl-<italic>a</italic>] (<xref ref-type="fig" rid="f2">
<bold>Figure&#xa0;2F</bold>
</xref>). Although MERIS/OLCI had a higher slope (0.766) than MODIS-Aqua (0.547), it contained more statistical errors (MRD, MAE, RMSE, MARD) against <italic>in situ</italic> [Chl-<italic>a</italic>] than MODIS-Aqua (as summarised in <xref ref-type="table" rid="T2">
<bold>Table&#xa0;2</bold>
</xref>). We are however cognisant that fluorometry-derived Chl-a may be biased towards higher concentrations when compared to high-performance liquid chromatography (HPLC), particularly in the presence of Chl-c due to potential overlap in emission spectra (<xref ref-type="bibr" rid="B66">Moutier et&#xa0;al., 2019</xref>). It should however be noted that the Chl-a datasets used in the current study were measured using the non-acidification technique (<xref ref-type="bibr" rid="B102">Welschmeyer, 1994</xref>), which minimises the fluorescence effects of Chl-c, Chl-b and phaeopigments while optimizing the sensitivity of [Chl-<italic>a</italic>]. Although both products performed admirably, the MODIS-Aqua sensor observations cover a larger temporal scale when compared to the now discontinued MERIS and recent OLCI satellite sensors, which allows for a much longer analysis of trend detection in the northern Benguela, particularly for the period between 2012-2015 where there is a data gap during the transition from MERIS to OLCI sensors. The MODIS-Aqua product was thus selected for algorithm development and further investigations of optical fingerprints of the dominant phytoplankton taxonomic groups in the northern BUS. Although the MODIS-aqua ocean colour retrieval of [Chl-<italic>a</italic>] was determined to be statistically less erroneous than MERIS/OLCI for the nBUS, it should be noted that this step in our approach was not intended as a sensor validation study, which would instead involve the use of <italic>in situ</italic> radiometric reflectance measurements compared against concurrent satellite observations and is considered outside of the scope of this study.</p>
<p>The three most prominent drivers of variability between <italic>in situ</italic> and satellite derived [Chl-<italic>a</italic>] likely reflect the impact of atmospheric correction, different approaches to measuring <italic>in situ</italic> [Chl-<italic>a</italic>] and averaging across space and time. Atmospheric correction measures are necessary to overcome interference from atmospheric variables (e.g. aerosols, dust, clouds, scattered light etc.). The nBUS experiences dynamic annual, seasonal, and event scale atmospheric influences from terrestrial aerosol sources of dust plumes from the Namib desert (<xref ref-type="bibr" rid="B79">Shikwambana and Kganyago, 2022</xref>), intense fog (<xref ref-type="bibr" rid="B86">Spirig et&#xa0;al., 2017</xref>) as well as coastal sulphur eruptions (<xref ref-type="bibr" rid="B67">Ohde and Dadou, 2018</xref>), which may interfere with accurate atmospheric correction, and subsequent [Chl-<italic>a</italic>] retrievals from satellite-derived reflectance adding to regular ocean-atmosphere contributions from moisture and aerosols (e.g. sea spray) (<xref ref-type="bibr" rid="B62">Mayer et&#xa0;al., 2020</xref>). Additionally, discrepancies between [Chl-<italic>a</italic>] derived from fluorometry versus HPLC can impact the performance of the satellite algorithm. These discrepancies are likely to be region or season specific as they depend on the constituent pigments in the water that are in turn dictated by phytoplankton community dominance which varies both regionally and temporally. Another possible source of error is the scale difference between <italic>in situ</italic> sampling and match-up retrievals. The match-ups in the current study are derived from multi-pixel boxes which cover a spatial range of 13 &#x2013; 25 km<sup>2</sup>. Ship-board measurements on the other hand are based on sampling 0.1 &#x2013; 2 L of seawater from a specific latitude-longitude location. Given the small-scale spatial heterogeneity or patchiness of phytoplankton abundance in the ocean (<xref ref-type="bibr" rid="B72">Pei et&#xa0;al., 2017</xref>; <xref ref-type="bibr" rid="B78">Scheinin and Asmala, 2020</xref>), averaging [Chl-<italic>a</italic>] over a multi-pixel box may produce discrepancies between measured and satellite derived [Chl-<italic>a</italic>]. Efforts are made to minimise the effects of this error by exclusion of multi-pixel boxes with mean values that have a coefficient of variation (CV) greater than 0.15 (<xref ref-type="bibr" rid="B8">Bailey and Werdell, 2006</xref>). Finally, it was challenging to obtain large numbers of match-ups in time and space in the relatively data-poor region of the nBUS. Although we initially prioritised matchups within 12 hours of sampling, to minimise temporal discrepancies, the subsequent small number of match up stations that passed quality control (n=73) meant that we had to relax the time window constraint to 24 hours, which increased our database to n=190. A comparison of the relationships generated by the two data sets against <italic>in situ</italic> [Chl-<italic>a</italic>] (i.e. n=73 and n = 190) showed no substantial differences in the statistical relationships (i.e. slopes remained comparable at 0.632 and 0.478 respectively, while the correlation coefficients remained similarly comparable at 0.744 and 0.578 respectively). We suspect that the above-mentioned variables, either in combination or on their own, as well as other factors not mentioned here, may have contributed to the observed discrepancies between satellite retrievals and <italic>in situ</italic> measurements of [Chl-<italic>a</italic>].</p>
</sec>
<sec id="s4_2">
<label>4.2</label>
<title>Phytoplankton optical fingerprints</title>
<p>Differences were observed in the <italic>Rrs</italic> spectral characteristics of waters dominated by different phytoplankton groups. These differences in optical characteristics can be attributed to differences in cellular pigment composition (and content), morphology, size and abundance (<xref ref-type="bibr" rid="B93">Vaillancourt et&#xa0;al., 2004</xref>; <xref ref-type="bibr" rid="B60">Mao et&#xa0;al., 2010</xref>). The size and pigment differences of various phytoplankton taxa in the nBUS have been shown previously (<xref ref-type="bibr" rid="B35">Hansen et&#xa0;al., 2014</xref>; <xref ref-type="bibr" rid="B9">Barlow et&#xa0;al., 2018</xref>). For example, <xref ref-type="bibr" rid="B35">Hansen et&#xa0;al. (2014)</xref> highlighted differences in water masses associated with different phytoplankton taxa and abundance at different upwelling stages from MODIS-aqua as testament to variability in <italic>Rrs</italic> (at 412 nm, 554 nm and 665 nm). Although differences in optical signatures can be exploited from space to distinguish different phytoplankton groups, there nonetheless remains the potential for overlap between different species that may occupy a similar size distribution and/or pigment content, and/or range of abundance. Optical indices from <italic>Rrs</italic> characteristics are complicated further by the complex interplay between the effects of cell size and abundance. For example, optical model simulations show that higher cell counts increase absorption and backscatter coefficients in smaller sized cells whereas these signals decrease with increasing cell size and lower cell abundance (<xref ref-type="bibr" rid="B50">Laiolo et&#xa0;al., 2021</xref>). Furthermore, the pigment packaging effect (a reduction in light absorption from high intracellular [Chl-<italic>a</italic>], particularly in the blue wavelengths) increases with increasing cell size being more pronounced in larger cells (&gt; 10 &#xb5;m) such as diatoms (<xref ref-type="bibr" rid="B85">Soja-Wozniak et&#xa0;al., 2020</xref>; <xref ref-type="bibr" rid="B50">Laiolo et&#xa0;al., 2021</xref>). The observed optical signatures that are assigned in this study to different phytoplankton groups are generated from a net effect of the optical impacts from the communities dominant size structure, pigment composition and biomass at which any one group commonly occurs. Regardless of the complexity of the inter-relationships between the multiple drivers of <italic>Rrs</italic>characteristics, our optical proxy accumulates these signals to statistically discern the band-ratio ranges typical of each group that may subsequently be used to identify them. In light of this, the band-ratios, RNR and nFLH fluorescence signals can still be recognised as effective signals for characterising the presence of different phytoplankton groups. A purely abundance-based approach on the other hand makes the assumption that different species dominate at different typical biomass thresholds, and as such, is not able to distinguish between phytoplankton blooms of two different species with a similar abundance (<xref ref-type="bibr" rid="B91">Uitz et&#xa0;al., 2006</xref>; <xref ref-type="bibr" rid="B36">Hirata et&#xa0;al., 2011</xref>). Although all four approaches to derive optical fingerprints for the different phytoplankton groups were investigated in this study, the final algorithm used a combination of only 2 approaches (i.e. the band-ratio and spectral band difference approach to the exclusion of individual <italic>Rrs</italic> at different spectral bands and [Chl-<italic>a</italic>] abundance-based approaches). This multi-layered ocean colour remote sensing algorithm for phytoplankton group detection in the nBUS increases the robustness of the algorithm in that a pixel typically has to meet at least two criteria between the <italic>green</italic>/<italic>green</italic>, <italic>RNR</italic> and nFLH before it is assigned as either a diatom, dinoflagellate, flagellate or mixed community.</p>
<p>Band-ratio algorithms, particularly in the blue-green spectral bands, are typically designed for global applications over optically deep ocean waters for [Chl-<italic>a</italic>] retrievals (<xref ref-type="bibr" rid="B69">O&#x2019;Reilly et&#xa0;al., 2000</xref>). In coastal waters, optically active non-phytoplankton materials such as coloured dissolved organic matter (CDOM) are capable of light absorption in the blue and violet spectral regions in particular (<xref ref-type="bibr" rid="B65">Morel et&#xa0;al., 2010</xref>; <xref ref-type="bibr" rid="B20">Coble, 2013</xref>). Their absorption in the blue spectral region typically dominates that of phytoplankton in estuarine and coastal areas (<xref ref-type="bibr" rid="B25">D&#x2019;Sa and Kim, 2017</xref>; <xref ref-type="bibr" rid="B41">Isada et&#xa0;al., 2021</xref>). As such, the blue-violet region of the <italic>Rrs</italic> spectra is likely to have a larger error associated with it that may undermine our ability to capture phytoplankton-driven characteristics. To overcome this limitation, we instead make use of spectral bands in the red-NIR (i.e. nFLH and <italic>RNR</italic>) and green (i.e. <italic>green</italic>/<italic>green</italic>) regions for phytoplankton group classification in the nBUS. Similarly, although the nFLH signal could also be influenced by CDOM, the absorption of CDOM in the red-NIR is very low and its influence on nFLH is considered negligible, making nFLH and other algorithms utilizing the red-NIR spectral bands ideal candidates for phytoplankton bloom detection and classification in optically complex coastal waters such as the dynamic nBUS. Such algorithms (i.e. those utilising the <italic>Rrs</italic>665/<italic>Rrs</italic>709 band-ratio) have previously been successfully developed, validated and applied in the sBUS for phytoplankton bloom detection (<xref ref-type="bibr" rid="B10">Bernard et&#xa0;al., 2005</xref>). <xref ref-type="bibr" rid="B82">Smith and Bernard (2020)</xref> later discriminated HABs of diatoms from dinoflagellates using the maximum line height approach (MLH), a spectral band difference algorithm analogous to nFLH which computes the MLH between two line heights calculated at <italic>Rrs</italic>681 and <italic>Rrs</italic>709 spectral bands, coupled with the line height ratio (ratio of line heights calculated at 681 and 709 nm). In the current study, we adopted a similar approach (use of products with spectral bands in the red and near infrared spectral regions) but for different satellite products (i.e. nFLH) and used in combination with a <italic>green</italic>/<italic>green</italic> spectral band-ratio and thresholds that best suited the unique waters in the nBUS.</p>
<p>It is recognised that the ability to distinguish different phytoplankton groups may be hampered by pixel averaging when their distribution is spatially heterogeneous e.g. at the transition between inshore and offshore communities (e.g. <xref ref-type="bibr" rid="B9">Barlow et&#xa0;al., 2018</xref>). The 5x5 pixel match-up box centred around the <italic>in situ</italic> station in the current study spans an area of between 16 - 25 km<sup>2</sup>. It is thus possible that individual pixels may be dominated by different groups, which can introduce errors in community identification when averaging across a 5x5 pixel box. As a precaution to minimise this effect, we use the standard deviation to identify boxes that express high variability and exclude them from further analysis.</p>
</sec>
<sec id="s4_3">
<label>4.3</label>
<title>Algorithm application</title>
<p>Using the algorithm as depicted in <xref ref-type="supplementary-material" rid="SM1">
<bold>Figure S2</bold>
</xref> in the <xref ref-type="supplementary-material" rid="SM1">
<bold>Supplementary Material</bold>
</xref>, we translate the <italic>green</italic>/<italic>green</italic>, RNR band-ratios as well as nFLH data from the MODIS-Aqua according to the thresholds listed in <xref ref-type="table" rid="T3">
<bold>Table&#xa0;3</bold>
</xref> to an example map of the distribution of the phytoplankton community in the nBUS for 28 April 2009 (<xref ref-type="fig" rid="f10">
<bold>Figures&#xa0;10</bold>
</xref>). From these maps (<xref ref-type="fig" rid="f10">
<bold>Figures&#xa0;10B-D</bold>
</xref>) it is clear how the spatial distribution of particular <italic>Rrs</italic> characteristics can be used to identify the phytoplankton groups. Diatoms were the most spatially abundant group, which is typical of high biomass inshore waters of the Benguella (<xref ref-type="bibr" rid="B61">Matlakala, 2019</xref>). Bloom conditions (<xref ref-type="fig" rid="f10">
<bold>Figure&#xa0;10A</bold>
</xref>; [Chl-<italic>a</italic>] <italic>&gt;</italic>2 ug l<sup>-1</sup>) were typically encountered inshore with a filament extending offshore at 22&#xb0;S. These blooms were primarily dominated by diatoms, which are the most frequently observed blooms in the nBUS (<xref ref-type="bibr" rid="B35">Hansen et&#xa0;al., 2014</xref>; <xref ref-type="bibr" rid="B57">Louw et&#xa0;al., 2017</xref>; <xref ref-type="bibr" rid="B61">Matlakala, 2019</xref>). Diatoms were easily distinguished from their high nFLH and high <italic>green/green</italic> ratios (<xref ref-type="fig" rid="f10">
<bold>Figures&#xa0;10B, C</bold>
</xref>, respectively). Dinoflagellates typically dominated in low [Chl-<italic>a</italic>] conditions and were generally distributed further offshore (~140 km from shore), where the waters are typically warmer and nutrient-limited (<xref ref-type="bibr" rid="B64">Mohrholz et&#xa0;al., 2014</xref>). This is consistent with the literature (<xref ref-type="bibr" rid="B35">Hansen et&#xa0;al., 2014</xref>; <xref ref-type="bibr" rid="B101">Wasmund et&#xa0;al., 2014</xref>; <xref ref-type="bibr" rid="B61">Matlakala, 2019</xref>) and provides further confidence in the algorithm&#x2019;s abilities. Dinoflagellates were also evident in low [Chl-<italic>a</italic>] waters closer to shore (north of 22&#xb0;S latitude) near the A-B front, where the shelf is narrower and there is typically evidence of a warm water intrusion from the Angola current (<xref ref-type="bibr" rid="B40">Hutchings et&#xa0;al., 2009</xref>; <xref ref-type="bibr" rid="B76">Rouault et&#xa0;al., 2018</xref>). There was however some evidence of HB dinoflagellates within the inshore high [Chl-<italic>a</italic>] bloom, which have been observed to occur inshore typically in winter (<xref ref-type="bibr" rid="B23">Dijerenge, 2015</xref>; <xref ref-type="bibr" rid="B61">Matlakala, 2019</xref>). These dinoflagellate blooms are readily distinguished from diatoms by their characteristically high <italic>RNR</italic> signature (<xref ref-type="fig" rid="f10">
<bold>Figure&#xa0;10D</bold>
</xref>). Large patches of spatially cohesive flagellates were evident typically offshore (notably at ~23&#xb0;S and 25&#xb0;S) and identified by their unique green/green and nFLH combination. The most common flagellates identified in the Benguela are nanoflagellates, most commonly observed in the mid-shelf region and further offshore in the Namibian upwelling system (<xref ref-type="bibr" rid="B35">Hansen et&#xa0;al., 2014</xref>; <xref ref-type="bibr" rid="B9">Barlow et&#xa0;al., 2018</xref>), which is in agreement with our algorithm&#x2019;s predictions of the spatial distribution of this group from the example maps. Very low [Chl-<italic>a</italic>] waters were coincident with extremely low values of nFLH, green/green and <italic>RNR</italic> and characterised as waters with an <italic>Rrs</italic> signal too low to confidently identify as any phytoplankton group. Of note is that despite a clear [Chl-<italic>a</italic>] gradient (i.e. a typical decrease in biomass from inshore to offshore, <xref ref-type="fig" rid="f10">
<bold>Figure&#xa0;10A</bold>
</xref>), there is evidence of the algorithm being able to classify diatom, dinoflagellate and flagellate dominated communities as well as mixed community assemblages in both low and high [Chl-<italic>a</italic>] conditions (<xref ref-type="fig" rid="f10">
<bold>Figures&#xa0;10A, E</bold>
</xref>). From this example image it is clear how the high spatial and temporal coverage of satellite remote sensing can be harnessed to our advantage to better understand the dynamics, distribution, phenology and trends in phytoplankton community composition.</p>
<fig id="f10" position="float">
<label>Figure&#xa0;10</label>
<caption>
<p>Demonstration of phytoplankton group dominance classification by the proposed ocean colour remote sensing algorithm for phytoplankton community from MODIS-Aqua observations for 11 March 2019 in the nBUS. <bold>(A)</bold> [Chl-<italic>a</italic>] distribution, <bold>(B)</bold> The observed nFLH, <bold>(C)</bold> green/green (<italic>Rrs</italic>547/<italic>Rrs</italic>531) band-ratio, <bold>(D)</bold> red/near-infrared (<italic>Rrs</italic>748/<italic>Rrs</italic>667) band-ratio and <bold>(E)</bold> application of the algorithm indicating the distribution of dominant phytoplankton groups in the nBUS.</p>
</caption>
<graphic mimetype="image" mime-subtype="tiff" xlink:href="fmars-10-1118226-g010.tif"/>
</fig>
</sec>
<sec id="s4_4">
<label>4.4</label>
<title>Recognising algorithm limitations</title>
<sec id="s4_4_1">
<label>4.4.1</label>
<title>Use of microscopy data</title>
<p>
<italic>In situ</italic> phytoplankton data is a prerequisite for ocean colour algorithm development and validation for satellite remote sensing of phytoplankton from space. Inaccurate or incomplete <italic>in situ</italic> data undermines our ability to correctly associate optical signatures to cells that aren&#x2019;t identified and may therefore lead to erroneous assignment of optical signatures to other phytoplankton groups, making accurate <italic>in situ</italic> measurements a scientific priority for increasing the accuracy and confidence of remote sensing and model development. Techniques such as microscopy are traditionally used in field observations for phytoplankton enumeration and taxonomic identification, providing valuable information for studying the diversity of phytoplankton taxa for assessing ecosystem health and balance, environmental monitoring and conservation, climatology and aiding aquaculture and fisheries industries with HABs detection among others (<xref ref-type="bibr" rid="B5">Anderson and Throndsen, 2004</xref>; <xref ref-type="bibr" rid="B57">Louw et&#xa0;al., 2017</xref>). Microscopic cell count techniques are particularly useful in that they provide identification of cells to species level. Although phytoplankton community information can be derived from these techniques, they have their limitations. For instance, analysis is dependent on highly trained and skilled people with thorough taxonomic expertise; these methods can be expensive, labour-intensive, time consuming, and may produce low precision unless a very large number of cells are counted (<xref ref-type="bibr" rid="B5">Anderson and Throndsen, 2004</xref>). Differential preservation of cells can lead to preferential cell loss and can thus introduce bias to sample classification (<xref ref-type="bibr" rid="B103">Williams et&#xa0;al., 2016</xref>). The use of preservatives greatly affects the observed community composition depending on which preservative is used [e.g. Lugol&#x2019;s solution (either acidic or neutral) or formalin)] and for how long the samples were stored prior to analysis (<xref ref-type="bibr" rid="B103">Williams et&#xa0;al., 2016</xref>). For instance, armoured dinoflagellates are well preserved in all types of Lugols for up to 8 months whereas unarmoured dinoflagellates are only well preserved in acid Lugols for the same period. Microflagellates and diatoms are well preserved in acid Lugols (3 months and ~4 months respectively), while diatoms can also be stored in neutral Lugols (up to 2 months). Coccolithophores on the other hand are poorly preserved in acid Lugols and instead require neutral Lugols (2 weeks) (<xref ref-type="bibr" rid="B103">Williams et&#xa0;al., 2016</xref>). Phytoplankton samples from cruise campaigns in the current study were preserved in acidified (Meteor M153) and neutral (RGNO2019) Lugol&#x2019;s solutions and analysed within 3 months of sampling. As such, coccolithophores may be misrepresented in both samples due to preferential preservation, this in addition to their small size which makes them harder to enumerate. Dinoflagellates (armoured and naked), diatoms and flagellates on the other hand are more likely to be well represented as they are generally well preserved in acidic Lugols even 225 days after sampling as opposed to the neutral Lugols with optimum preservation of samples for 28 days (<xref ref-type="bibr" rid="B103">Williams et&#xa0;al., 2016</xref>). In this regard, samples preserved in neutral lugol solution from the RGNO2019 cruise that were analysed after a month (but within 3 months) may be underrepresenting some of these groups (i.e. diatoms, flagellates, coccolithophores). Furthermore, smaller (picophytoplankton) and fragile cells are not easy to identify and quantify; as a result they may be under-represented. Indeed, the absence of an occurrence of coccolithophore dominance in this study may be due to their small size (making them harder to identify and enumerate) together with a poor ability to adequately preserve them in Lugols solution (<xref ref-type="bibr" rid="B103">Williams et&#xa0;al., 2016</xref>). Finally, interpersonal differences from data analysed in different laboratories may also undermine the precision of microscopic analyses. Identification of pigment markers of phytoplankton groups using high-performance liquid chromatography (HPLC) has been adopted as an alternative proxy for phytoplankton community analysis (<xref ref-type="bibr" rid="B44">Kheireddine et&#xa0;al., 2017</xref>; <xref ref-type="bibr" rid="B45">Kramer et&#xa0;al., 2020</xref>). This method has some advantages against microscopic analysis such as being highly reproducible and allowing the quantification and identification of smaller and more fragile cells, including cells that would normally be degraded by sample preservation with Lugols (<xref ref-type="bibr" rid="B71">Paul et&#xa0;al., 2021</xref>; <xref ref-type="bibr" rid="B30">Flander-Putrle et&#xa0;al., 2022</xref>). Advancements in the classification of phytoplankton groups has been made possible with the aid of specialised computer software such as CHEMTAX, which facilitates the classification of phytoplankton groups by means of pigment-to-Chl<italic>-a</italic> ratios (<xref ref-type="bibr" rid="B59">Mackey et&#xa0;al., 1996</xref>). However, pigment analysis is not able to provide the same level of detail as microscopy as they are not able to identify individual phytoplankton species. Also, similarities in photosynthetic pigments across multiple taxa make it difficult to distinguish different groups with confidence. Arguably, the future of phytoplankton enumeration lies within the realm of imaging with <italic>in situ</italic> cameras, holographic cameras and imaging flow cytometry. Although not without their own set of challenges (<xref ref-type="bibr" rid="B32">Giering et&#xa0;al., 2020</xref>), these approaches can generate images used to derive concentration and biodiversity information, as well as organism-specific size and shape (<xref ref-type="bibr" rid="B12">Boss et&#xa0;al., 2022</xref>). Given the strengths and weaknesses of all the various approaches, it is clear that no one technique can be considered the holy grail for phytoplankton community analysis and it is generally recommended that different techniques are integrated in order to provide a more comprehensive analysis of phytoplankton communities.</p>
</sec>
<sec id="s4_4_2">
<label>4.4.2</label>
<title>Limited datasets for development and validation</title>
<p>Although there was arguably an adequate sample size for stations with diatom dominance (n = 37) to allow this phytoplankton group to be more robustly characterised and partitioned into two sets of independent training (n=30) and validation (n=7), the number of matchup stations observing dominance of HB dinoflagellates (n=3), LB dinoflagellates (n=10), flagellates (n=11) and mixed phytoplankton community (n=13) were small. The qualitative nature of our algorithm only allows an indication of the dominance of one group in the presence of others and does not estimate the relative composition of each group nor the abundance of each group. It is recognised that these small data sets (which are further constrained by the necessity for satellite matchups in a region that is characterised by a persistent stratocumulus cloud deck) severely limit the robustness of the algorithm being developed. The authors are nonetheless committed to working with currently available and accessible data to explore the expansion of this data set for the purposes of validation of the existing algorithm and for future refinement with improved statistics as more data becomes available over time. In spite of the recognised limitations, it is clear that there is a dire need for such an algorithm and that the one proposed here provides a good first approach that can be applied retrospectively to 20 years of ocean colour data for important investigations that characterise the distribution patterns, phenology and trends of key phytoplankton groups in the region.</p>
</sec>
</sec>
</sec>
<sec id="s5" sec-type="conclusions">
<label>5</label>
<title>Conclusions</title>
<p>In the majority of the studies of community structure dynamics in the nBUS to date, microscopy has been the most commonly used technique for identifying phytoplankton distribution (<xref ref-type="bibr" rid="B35">Hansen et&#xa0;al., 2014</xref>; <xref ref-type="bibr" rid="B23">Dijerenge, 2015</xref>; <xref ref-type="bibr" rid="B9">Barlow et&#xa0;al., 2018</xref>) and environmental monitoring (<xref ref-type="bibr" rid="B57">Louw et&#xa0;al., 2017</xref>; <xref ref-type="bibr" rid="B61">Matlakala, 2019</xref>), although some studies used a combination of microscopy and pigment analysis (<xref ref-type="bibr" rid="B9">Barlow et&#xa0;al., 2018</xref>), with the limitations of both being clear. Satellite-based remote sensing of ocean colour is the only observational capability that can provide synoptic views of upper ocean phytoplankton characteristics at high spatial and temporal resolution (~1 km, ~daily) and a high temporal extent (global scales, for years to decades). It is thus important that we maximise the value of remote sensing observations by developing ecosystem-appropriate, well characterised products. This study takes advantage of unique spectral features (reflectance, reflectance ratios and spectral band difference) of oceanic waters dominated by various phytoplankton groups to create an ocean colour remote sensing algorithm for phytoplankton classification. Our future work will focus on acquiring additional <italic>in situ</italic> data for improvement and validation of the algorithm while venturing into discrimination of bloom types (e.g. non-HABs from HABs of diatoms of <italic>Pseudo-nitzschia</italic> species and dinoflagellates) and the detection of other key species (e.g. coccolithophores). Despite its limitations, the algorithm has enormous potential for mapping the distribution and phenology of phytoplankton groups on an unprecedented spatial and temporal scale in the nBUS. The intention is for this algorithm to be used for environmental monitoring of these phytoplankton types to better understand their spatial and temporal dynamics and environmental controls. In addition, application to the 20-year MODIS-aqua observation time series will allow an investigation of possible trends in community structure adjustments with important ecosystem implications for ocean-atmosphere exchange and energy transfer in support of the fisheries and aquaculture industries of Namibia.</p>
</sec>
<sec id="s6" sec-type="data-availability">
<title>Data availability statement</title>
<p>Publicly available datasets were analysed in this study. This data can be found here: The MODIS-Aqua data can be found at NASA&#x2019;s ocean colour website <ext-link ext-link-type="uri" xlink:href="https://oceancolor.gsfc.nasa.gov/">https://oceancolor.gsfc.nasa.gov/</ext-link>. The MERIS data can be accessed through the MERIS catalogue and inventory (MERCI, <ext-link ext-link-type="uri" xlink:href="http://meris-ds.eo.esa.int/oads/access/">http://meris-ds.eo.esa.int/oads/access/</ext-link>). The OLCI data can be found at the Copernicus online data access website (CODA, <ext-link ext-link-type="uri" xlink:href="https://coda.eumetsat.int/">https://coda.eumetsat.int/</ext-link>). Phytoplankton counts and chlorophyll-a data can be accessed on the publicly available and accessible Pangaea database website at <ext-link ext-link-type="uri" xlink:href="https://www.pangaea.de/">https://www.pangaea.de/</ext-link>.</p>
</sec>
<sec id="s7" sec-type="author-contributions">
<title>Author contributions</title>
<p>The authors confirm their contribution to the manuscript as follows: Conceptualization: ST; MS. Methodology: MS; ST; TM. Data acquisition: TM; MS; ST; DL; BM; RK. Data curation: TM. Visualization (figures): TM. Formal analysis: TM; MS; ST. Manuscript 1st draft: TM. Supervision: ST; MS. Reviewing &amp; editing: TM; MS; ST; BM; RK. Project administration: ST; MS. Funding acquisition: ST. All authors read, edited and approved the final version of the manuscript.</p>
</sec>
</body>
<back>
<sec id="s8" sec-type="funding-information">
<title>Funding</title>
<p>This research was supported as part of the Alliance for Collaboration on Climate and Earth Systems Science (ACCESS)-funded PLankton in a coupled oceAn-aTmOsphere system (PLATO) project by the National Research Foundation (NRF, South Africa, Grant No 114691) and the Council for Scientific and Industrial Research (CSIR, South Africa) through its Southern Ocean Carbon-Climate Observatory (SOCCO) programme funded by the Department of Science and Innovation (DSI, South Africa) and the parliamentary grant (SNA2011112600001). BM and RK as well as the use of the <italic>RV Meteor</italic> were funded by a grant from the Federal Ministry of Education and Research in Germany (FKZ 03F0797C).</p>
</sec>
<ack>
<title>Acknowledgments</title>
<p>We are grateful to Norbert Wasmund and Lebogang M. Matlakala for providing additional microscopy cell counts and [Chl-<italic>a</italic>] data. We would like to thank Kurt Hanselmann and colleagues at the National Marine Information and Research Centre (NatMIRC) for the RGNO2019 cruise organization and invaluable laboratory support. We thank Werner Ekau for organizing the Meteor M153 cruise that formed part of the Trophic TRAnsfer eFFICency in the Benguela Current (TRAFFIC) project.</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>
</sec>
<sec id="s10" sec-type="disclaimer">
<title>Publisher&#x2019;s note</title>
<p>All claims expressed in this article are solely those of the authors 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="s11" 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.2023.1118226/full#supplementary-material">https://www.frontiersin.org/articles/10.3389/fmars.2023.1118226/full#supplementary-material</ext-link>
</p>
<supplementary-material xlink:href="DataSheet_1.pdf" id="SM1" mimetype="application/pdf"/>
</sec>
<ref-list>
<title>References</title>
<ref id="B1">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Agawin</surname> <given-names>N. S. R.</given-names>
</name>
<name>
<surname>Rabouille</surname> <given-names>S.</given-names>
</name>
<name>
<surname>Veldhuis</surname> <given-names>M. J.W.</given-names>
</name>
<name>
<surname>Servatius</surname> <given-names>L.</given-names>
</name>
<name>
<surname>Hol</surname> <given-names>S.</given-names>
</name>
<name>
<surname>van Overzee</surname> <given-names>M. J.</given-names>
</name>
<etal/>
</person-group>. (<year>2007</year>). <article-title>Competition and facilitation between unicellular nitrogen-fixing cyanobacteria and non &#x2013; nitrogen-fixing phytoplankton species</article-title>. <source>Limnology Oceanography</source> <volume>52</volume> (<issue>5</issue>), <fpage>2233</fpage>&#x2013;<lpage>2248</lpage>. doi: <pub-id pub-id-type="doi">10.4319/lo.2007.52.5.2233</pub-id>
</citation>
</ref>
<ref id="B2">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Aguirre-Gomez</surname> <given-names>R.</given-names>
</name>
<name>
<surname>Weeks</surname> <given-names>A. R.</given-names>
</name>
<name>
<surname>Boxshall</surname> <given-names>S. R.</given-names>
</name>
</person-group> (<year>2001</year>). <article-title>The identification of phytoplankton pigments from absorption spectra</article-title>. <source>Int. J. Remote Sens.</source> <volume>22</volume>, <fpage>315</fpage>&#x2013;<lpage>338</lpage>. doi:&#xa0;<pub-id pub-id-type="doi">10.1080/014311601449952</pub-id>
</citation>
</ref>
<ref id="B3">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Aiken</surname> <given-names>J.</given-names>
</name>
<name>
<surname>Fishwick</surname> <given-names>J. R.</given-names>
</name>
<name>
<surname>Lavender</surname> <given-names>S. J.</given-names>
</name>
<name>
<surname>Moore</surname> <given-names>G. F.</given-names>
</name>
<name>
<surname>Sessions</surname> <given-names>H.</given-names>
</name>
<name>
<surname>Bernard</surname> <given-names>S.</given-names>
</name>
<etal/>
</person-group>. (<year>2007</year>). <article-title>Validation of MERIS reflectance and chlorophyll during the BENCAL cruise October 2002: Preliminary validation of new demonstration products for phytoplankton functional types and photosynthetic parameters</article-title>. <source>Int. J. Remote Sens.</source> <volume>28</volume> (<issue>3&#x2013;4</issue>), <fpage>497</fpage>&#x2013;<lpage>516</lpage>. doi:&#xa0;<pub-id pub-id-type="doi">10.1080/01431160600821036</pub-id>
</citation>
</ref>
<ref id="B4">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Allison</surname> <given-names>E. H.</given-names>
</name>
<name>
<surname>Perry</surname> <given-names>A. L.</given-names>
</name>
<name>
<surname>Badjeck</surname> <given-names>M.</given-names>
</name>
<name>
<surname>Adger</surname> <given-names>W. N.</given-names>
</name>
<name>
<surname>Brown</surname> <given-names>K.</given-names>
</name>
<name>
<surname>Halls</surname> <given-names>A. S.</given-names>
</name>
<etal/>
</person-group>. (<year>2009</year>). <article-title>Vulnerability of national economies to the impacts of climate change on fisheries</article-title>. <source>Fish Fisheries</source> <volume>10</volume>, <fpage>173</fpage>&#x2013;<lpage>196</lpage>. doi:&#xa0;<pub-id pub-id-type="doi">10.1111/j.1467-2979.2008.00310.x</pub-id>
</citation>
</ref>
<ref id="B5">
<citation citation-type="book">
<person-group person-group-type="author">
<name>
<surname>Anderson</surname> <given-names>P.</given-names>
</name>
<name>
<surname>Throndsen</surname> <given-names>J.</given-names>
</name>
</person-group> (<year>2004</year>). &#x2018;<article-title>Estimating Cell numbers</article-title>&#x2019;, in <source>Manual on Harmful Marine Microalgae</source>. <edition>2nd edition</edition>. <publisher-loc>Paris France</publisher-loc>: <publisher-name>UNESCO</publisher-name> p. <fpage>770</fpage>. doi: <pub-id pub-id-type="doi">10.25607/OBP-1370</pub-id>
</citation>
</ref>
<ref id="B6">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Archer</surname> <given-names>S. D.</given-names>
</name>
<name>
<surname>Widdicombe</surname> <given-names>C. E.</given-names>
</name>
<name>
<surname>Tarran</surname> <given-names>G. A.</given-names>
</name>
<name>
<surname>Rees</surname> <given-names>A. P.</given-names>
</name>
<name>
<surname>Burkill</surname> <given-names>P. H.</given-names>
</name>
</person-group>. (<year>2001</year>). <article-title>Production and turnover of particulate dimethylsulphoniopropionate during a coccolithophore bloom in the northern North Sea</article-title>. <source>Aquat. Microbial Ecol.</source> <volume>24</volume>, <fpage>225</fpage>&#x2013;<lpage>241</lpage>. doi: <pub-id pub-id-type="doi">10.3354/ame024225</pub-id>
</citation>
</ref>
<ref id="B7">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Arrigo</surname> <given-names>K. R.</given-names>
</name>
<name>
<surname>Robinson</surname> <given-names>D. H.</given-names>
</name>
<name>
<surname>Worthen</surname> <given-names>D. L.</given-names>
</name>
<name>
<surname>Dunbar</surname> <given-names>R. B.</given-names>
</name>
<name>
<surname>Ditullio</surname> <given-names>G. R.</given-names>
</name>
<name>
<surname>Vanwoert</surname> <given-names>M.</given-names>
</name>
<etal/>
</person-group>. (<year>1999</year>). <article-title>Phytoplankton community structure and the drawdown of nutrients and CO 2 in the Southern Ocean</article-title>. <source>Science</source> <volume>283</volume>, <fpage>365</fpage>&#x2013;<lpage>368</lpage>. doi: <pub-id pub-id-type="doi">10.1126/science.283.5400.365</pub-id>
</citation>
</ref>
<ref id="B8">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Bailey</surname> <given-names>S. W.</given-names>
</name>
<name>
<surname>Werdell</surname> <given-names>P. J.</given-names>
</name>
</person-group> (<year>2006</year>). <article-title>A multi-sensor approach for the on-orbit validation of ocean color satellite data products</article-title>. <source>Remote Sens. Environ.</source> <volume>102</volume> (<issue>1&#x2013;2</issue>), <fpage>12</fpage>&#x2013;<lpage>23</lpage>. doi:&#xa0;<pub-id pub-id-type="doi">10.1016/j.rse.2006.01.015</pub-id>
</citation>
</ref>
<ref id="B9">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Barlow</surname> <given-names>R.</given-names>
</name>
<name>
<surname>Lamont</surname> <given-names>T.</given-names>
</name>
<name>
<surname>Louw</surname> <given-names>D.</given-names>
</name>
<name>
<surname>Gibberd</surname> <given-names>M. J.</given-names>
</name>
<name>
<surname>Airs</surname> <given-names>R.</given-names>
</name>
<name>
<surname>van der Plas</surname> <given-names>A.</given-names>
</name>
</person-group> (<year>2018</year>). <article-title>Environmental influence on phytoplankton communities in the northern Benguela ecosystem</article-title>. <source>Afr. J. Mar. Sci.</source> <volume>40</volume> (<issue>4</issue>), <fpage>355</fpage>&#x2013;<lpage>370</lpage>. doi:&#xa0;<pub-id pub-id-type="doi">10.2989/1814232X.2018.1531785</pub-id>
</citation>
</ref>
<ref id="B10">
<citation citation-type="book">
<person-group person-group-type="author">
<name>
<surname>Bernard</surname> <given-names>S.</given-names>
</name>
<name>
<surname>Balt</surname> <given-names>C.</given-names>
</name>
<name>
<surname>Pitcher</surname> <given-names>G.</given-names>
</name>
<name>
<surname>Probyn</surname> <given-names>T.</given-names>
</name>
<name>
<surname>Fawcett</surname> <given-names>A.</given-names>
</name>
<name>
<surname>Du Randt</surname> <given-names>A.</given-names>
</name>
</person-group>. (<year>2005</year>). &#x201c;<article-title>The use of MERIS for harmful algal bloom monitoring in the Southern Benguela</article-title>,&#x201d; in <source>Proceedings of the MERIS (A)A TSR workshop</source>. Ed. <person-group person-group-type="editor">
<name>
<surname>Sawaya-Lacoste</surname> <given-names>H.</given-names>
</name>
</person-group> (<publisher-loc>Fracati, Italy</publisher-loc>: <publisher-name>ESA Publ. Division</publisher-name>), <fpage>1</fpage>&#x2013;<lpage>7</lpage>.</citation>
</ref>
<ref id="B11">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Bestion</surname> <given-names>E.</given-names>
</name>
<name>
<surname>Haegeman</surname> <given-names>B.</given-names>
</name>
<name>
<surname>Codesal</surname> <given-names>A. S.</given-names>
</name>
<name>
<surname>Garreau</surname> <given-names>A.</given-names>
</name>
<name>
<surname>Huet</surname> <given-names>M.</given-names>
</name>
<name>
<surname>Barton</surname> <given-names>S.</given-names>
</name>
<etal/>
</person-group>. (<year>2021</year>). <article-title>Phytoplankton biodiversity is more important for ecosystem functioning in highly variable thermal environments</article-title>. <source>PNAS</source> <volume>118</volume> (<issue>35</issue>), <fpage>1</fpage>&#x2013;<lpage>10</lpage>. doi:&#xa0;<pub-id pub-id-type="doi">10.1073/pnas.2019591118</pub-id>
</citation>
</ref>
<ref id="B12">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Boss</surname> <given-names>E.</given-names>
</name>
<name>
<surname>Waite</surname> <given-names>A. M.</given-names>
</name>
<name>
<surname>Karstensen</surname> <given-names>J.</given-names>
</name>
<name>
<surname>Trull</surname> <given-names>T.</given-names>
</name>
<name>
<surname>Muller-karger</surname> <given-names>F.</given-names>
</name>
<name>
<surname>Sosik</surname> <given-names>H. M.</given-names>
</name>
<etal/>
</person-group>. (<year>2022</year>). <article-title>Recommendations for plankton measurements on oceanSITES moorings with relevance to other observing sites</article-title>. <source>Front. Mar. Sci.</source> <volume>9</volume> (<issue>July</issue>). doi:&#xa0;<pub-id pub-id-type="doi">10.3389/fmars.2022.929436</pub-id>
</citation>
</ref>
<ref id="B13">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Brewin</surname> <given-names>R. J. W.</given-names>
</name>
<name>
<surname>Sathyendranath</surname> <given-names>S.</given-names>
</name>
<name>
<surname>Jackson</surname> <given-names>T.</given-names>
</name>
<name>
<surname>Barlow</surname> <given-names>R.</given-names>
</name>
<name>
<surname>Brotas</surname> <given-names>V.</given-names>
</name>
<name>
<surname>Airs</surname> <given-names>R.</given-names>
</name>
<etal/>
</person-group>. (<year>2015</year>). <article-title>Influence of light in the mixed-layer on the parameters of a three-component model of phytoplankton size class</article-title>. <source>Remote Sens. Environment. Elsevier Inc.</source> <volume>168</volume>, <fpage>437</fpage>&#x2013;<lpage>450</lpage>. doi:&#xa0;<pub-id pub-id-type="doi">10.1016/j.rse.2015.07.004</pub-id>
</citation>
</ref>
<ref id="B14">
<citation citation-type="book">
<person-group person-group-type="author">
<name>
<surname>Brownlee</surname> <given-names>C.</given-names>
</name>
<name>
<surname>Taylor</surname> <given-names>A. R.</given-names>
</name>
</person-group> (<year>2002</year>). &#x201c;<article-title>Algal calcification and silification</article-title>,&#x201d; in <source>Encyclopedia of life sciences</source> (<publisher-name>Macmillan Publishers Ltd, Nature Publishing Group</publisher-name>).</citation>
</ref>
<ref id="B15">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Caldeira</surname> <given-names>K.</given-names>
</name>
<name>
<surname>Duffy</surname> <given-names>P. B.</given-names>
</name>
</person-group> (<year>2000</year>). <article-title>The role of the Southern Ocean in uptake and storage of anthropogenic carbon dioxide</article-title>. <source>Science</source> <volume>287</volume>, <fpage>620</fpage>&#x2013;<lpage>623</lpage>. doi: <pub-id pub-id-type="doi">10.1126/science.287.5453.620</pub-id>
</citation>
</ref>
<ref id="B16">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Carr</surname> <given-names>M.</given-names>
</name>
</person-group> (<year>2002</year>). <article-title>Estimation of potential productivity in Eastern Boundary Currents using remote sensing</article-title>. <source>Deep-Sea Res. II</source> <volume>49</volume>, <fpage>59</fpage>&#x2013;<lpage>80</lpage>. doi: <pub-id pub-id-type="doi">10.1016/S0967-0645(01)00094-7</pub-id>
</citation>
</ref>
<ref id="B17">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Carr</surname> <given-names>M.</given-names>
</name>
<name>
<surname>Kearns</surname> <given-names>E. J.</given-names>
</name>
</person-group> (<year>2003</year>). <article-title>Production regimes in four Eastern Boundary Current systems</article-title>. <source>Deep-Sea Res. II</source> <volume>50</volume>, <fpage>3199</fpage>&#x2013;<lpage>3221</lpage>. doi:&#xa0;<pub-id pub-id-type="doi">10.1016/j.dsr2.2003.07.015</pub-id>
</citation>
</ref>
<ref id="B18">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Charlson</surname> <given-names>R. J.</given-names>
</name>
<name>
<surname>Lovelock</surname> <given-names>J. E.</given-names>
</name>
<name>
<surname>Andreae</surname> <given-names>M. O.</given-names>
</name>
<name>
<surname>Warren</surname> <given-names>S. G.</given-names>
</name>
</person-group>. (<year>1987</year>). <article-title>Oceanic phytoplankton, atmospheric sulphur, cloud albedo and climate</article-title>. <source>Nature</source> <volume>326</volume> (<issue>6114</issue>), <fpage>655</fpage>&#x2013;<lpage>661</lpage>. doi:&#xa0;<pub-id pub-id-type="doi">10.1038/326655a0</pub-id>
</citation>
</ref>
<ref id="B19">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Chavez</surname> <given-names>F. P.</given-names>
</name>
<name>
<surname>Messi&#xe9;</surname> <given-names>M.</given-names>
</name>
</person-group> (<year>2009</year>). <article-title>Progress in oceanography: A comparison of eastern boundary upwelling ecosystems</article-title>. <source>Prog. Oceanography. Elsevier Ltd</source> <volume>83</volume> (<issue>1&#x2013;4</issue>), <fpage>80</fpage>&#x2013;<lpage>96</lpage>. doi:&#xa0;<pub-id pub-id-type="doi">10.1016/j.pocean.2009.07.032</pub-id>
</citation>
</ref>
<ref id="B20">
<citation citation-type="book">
<person-group person-group-type="author">
<name>
<surname>Coble</surname> <given-names>P. G.</given-names>
</name>
</person-group> (<year>2013</year>). &#x201c;<article-title>Colored dissolved organic matter in seawater</article-title>,&#x201d; in <source>Subsea optics and imaging.</source> (<publisher-loc>Florida</publisher-loc>: <publisher-name>Woodhead Publishing Limited</publisher-name>), <fpage>98</fpage>&#x2013;<lpage>118</lpage>. doi:&#xa0;<pub-id pub-id-type="doi">10.1533/9780857093523.2.98</pub-id>
</citation>
</ref>
<ref id="B21">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Cury</surname> <given-names>P.</given-names>
</name>
<name>
<surname>Shannon</surname> <given-names>L.</given-names>
</name>
</person-group> (<year>2004</year>). <article-title>Regime shifts in upwelling ecosystems: observed changes and possible mechanisms in the northern and Southern Benguela</article-title>. <source>Prog. Oceanography</source> <volume>60</volume>, <fpage>223</fpage>&#x2013;<lpage>243</lpage>. doi:&#xa0;<pub-id pub-id-type="doi">10.1016/j.pocean.2004.02.007</pub-id>
</citation>
</ref>
<ref id="B22">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Dermastia</surname> <given-names>T. T.</given-names>
</name>
<name>
<surname>Ara</surname> <given-names>S. D.</given-names>
</name>
<name>
<surname>Dolenc</surname> <given-names>J.</given-names>
</name>
<name>
<surname>Mozeti&#x2c7;</surname> <given-names>P.</given-names>
</name>
</person-group>. (<year>2022</year>). <article-title>Toxicity of the diatom genus Pseudo-nitzschia (Bacillariophyceae): insights from toxicity tests and genetic screening in the Northern Adriatic Sea</article-title>. <source>Toxins</source> <volume>14</volume> (<issue>60</issue>), <fpage>1</fpage>&#x2013;<lpage>17</lpage>. doi: <pub-id pub-id-type="doi">10.3390/toxins14010060</pub-id>
</citation>
</ref>
<ref id="B23">
<citation citation-type="book">
<person-group person-group-type="author">
<name>
<surname>Dijerenge</surname> <given-names>K. J.</given-names>
</name>
</person-group> (<year>2015</year>). <source>Analysis of marine biotoxins: Paralytic and Lipophilic Shellfish Toxins in Mussels (Mytilus galloprovincialis) along the Namibian Coastline, University of Namibia.</source> (<publisher-loc>Namibia</publisher-loc>: <publisher-name>University of Namibia</publisher-name>). <uri xlink:href="https://repository.unam.edu.na/handle/11070/1466">https://repository.unam.edu.na/handle/11070/1466</uri>.</citation>
</ref>
<ref id="B24">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Dogliotti</surname> <given-names>A. I.</given-names>
</name>
<name>
<surname>Schloss</surname> <given-names>I. R.</given-names>
</name>
<name>
<surname>Almandoz</surname> <given-names>G. O.</given-names>
</name>
<name>
<surname>Gagliardini</surname> <given-names>D. A.</given-names>
</name>
</person-group> (<year>2009</year>). <article-title>Evaluation of SeaWiFS and MODIS chlorophyll-a products in the Argentinean Patagonian Continental Shelf (38&#xb0; S-55&#xb0; S)</article-title>. <source>Int. J. Remote Sens.</source> <volume>30</volume> (<issue>1</issue>), <fpage>251</fpage>&#x2013;<lpage>273</lpage>. doi:&#xa0;<pub-id pub-id-type="doi">10.1080/01431160802311133</pub-id>
</citation>
</ref>
<ref id="B25">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>D&#x2019;Sa</surname> <given-names>E. J.</given-names>
</name>
<name>
<surname>Kim</surname> <given-names>H.</given-names>
</name>
</person-group> (<year>2017</year>). <article-title>Surface gradients in dissolved organic matter absorption and fluorescence properties along the New Zealand sector of the Southern Ocean</article-title>. <source>Front. Mar. Sci.</source> <volume>4</volume> (<issue>21</issue>), <elocation-id>1</elocation-id>&#x2013;<lpage>14</lpage>. doi: <pub-id pub-id-type="doi">10.3389/fmars.2017.00021</pub-id>
</citation>
</ref>
<ref id="B26">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Duncombe Rae</surname> <given-names>C. M.</given-names>
</name>
</person-group> (<year>2005</year>). <article-title>A demonstration of the hydrographic partition of the Benguela upwelling ecosystem at 26&#xb0; 40 &#x2018; S</article-title>. <source>Afr. J. Mar. Sci.</source> <volume>27</volume> (<issue>3</issue>), <fpage>617</fpage>&#x2013;<lpage>628</lpage>. doi:&#xa0;<pub-id pub-id-type="doi">10.2989/18142320509504122</pub-id>
</citation>
</ref>
<ref id="B27">
<citation citation-type="thesis">
<person-group person-group-type="author">
<name>
<surname>Evers-King</surname> <given-names>H.</given-names>
</name>
</person-group> (<year>2014</year>). <source>Phytoplankton community structure determined through remote sensing and in situ optical measurements</source>. PhD thesis. (<publisher-loc>South Africa</publisher-loc>: <publisher-name>University of Cape Town</publisher-name>).</citation>
</ref>
<ref id="B28">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Fawcett</surname> <given-names>A.</given-names>
</name>
<name>
<surname>Pitcher</surname> <given-names>G. C.</given-names>
</name>
<name>
<surname>Bernard</surname> <given-names>S.</given-names>
</name>
<name>
<surname>Cembella</surname> <given-names>A. D.</given-names>
</name>
<name>
<surname>Kudela</surname> <given-names>R. M.</given-names>
</name>
</person-group> (<year>2007</year>). <article-title>Contrasting wind patterns and toxigenic phytoplankton in the Southern Benguela upwelling system</article-title>. <source>Mar. Ecol. Prog. Ser.</source> <volume>348</volume>, <fpage>19</fpage>&#x2013;<lpage>31</lpage>. doi:&#xa0;<pub-id pub-id-type="doi">10.3354/meps07027</pub-id>
</citation>
</ref>
<ref id="B29">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Field</surname> <given-names>C. B.</given-names>
</name>
<name>
<surname>Behrenfeld</surname> <given-names>M. J.</given-names>
</name>
<name>
<surname>Randerson</surname> <given-names>J. T.</given-names>
</name>
<name>
<surname>Falkowski</surname> <given-names>P.</given-names>
</name>
</person-group> (<year>1998</year>). <article-title>Primary production of the biosphere : integrating terrestrial and oceanic components</article-title>. <source>Science</source> <volume>281</volume>, <fpage>237</fpage>&#x2013;<lpage>241</lpage>. doi:&#xa0;<pub-id pub-id-type="doi">10.1126/science.281.5374.237</pub-id>
</citation>
</ref>
<ref id="B30">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Flander-Putrle</surname> <given-names>V.</given-names>
</name>
<name>
<surname>Franc&#xe9;</surname> <given-names>J.</given-names>
</name>
<name>
<surname>Mozeti&#x10d;</surname> <given-names>P.</given-names>
</name>
</person-group> (<year>2022</year>). <article-title>Phytoplankton pigments reveal size structure and interannual variability of the coastal phytoplankton community (Adriatic sea)</article-title>. <source>Water</source> <volume>14</volume> (<issue>1</issue>), <elocation-id>23</elocation-id>. doi:&#xa0;<pub-id pub-id-type="doi">10.3390/w14010023</pub-id>
</citation>
</ref>
<ref id="B31">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Gai</surname> <given-names>F. F.</given-names>
</name>
<name>
<surname>Hedemand</surname> <given-names>C. K.</given-names>
</name>
<name>
<surname>Louw</surname> <given-names>D. C.</given-names>
</name>
<name>
<surname>Grobler</surname> <given-names>K.</given-names>
</name>
<name>
<surname>Krock</surname> <given-names>B.</given-names>
</name>
<name>
<surname>Moestrup</surname> <given-names>&#xd8;.</given-names>
</name>
<etal/>
</person-group>. (<year>2018</year>). <article-title>&#x2018;Morphological, molecular and toxigenic characteristics of Namibian Pseudo-nitzschia species &#x2013; including Pseudo-nitzschia bucculenta sp. nov</article-title>. <source>Harmful Algae</source> <volume>76</volume> (<issue>May</issue>), <fpage>80</fpage>&#x2013;<lpage>95</lpage>. doi:&#xa0;<pub-id pub-id-type="doi">10.1016/j.hal.2018.05.003</pub-id>
</citation>
</ref>
<ref id="B32">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Giering</surname> <given-names>S. L. C.</given-names>
</name>
<name>
<surname>Cavan</surname> <given-names>E. L.</given-names>
</name>
<name>
<surname>Basedow</surname> <given-names>S. L.</given-names>
</name>
<name>
<surname>Briggs</surname> <given-names>N.</given-names>
</name>
<name>
<surname>Burd</surname> <given-names>A. B.</given-names>
</name>
<name>
<surname>Darroch</surname> <given-names>L. J.</given-names>
</name>
<etal/>
</person-group>. (<year>2020</year>). <article-title>Sinking organic particles in the ocean&#x2013;flux estimates from <italic>in situ</italic> optical devices</article-title>. <source>Front. Mar. Sci.</source> <volume>6</volume>. doi:&#xa0;<pub-id pub-id-type="doi">10.3389/fmars.2019.00834</pub-id>
</citation>
</ref>
<ref id="B33">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Gilerson</surname> <given-names>A.</given-names>
</name>
<name>
<surname>Zhou</surname> <given-names>J.</given-names>
</name>
<name>
<surname>Hlaing</surname> <given-names>S.</given-names>
</name>
<name>
<surname>Ioannou</surname> <given-names>I.</given-names>
</name>
<name>
<surname>Schalles</surname> <given-names>J.</given-names>
</name>
<name>
<surname>Gross</surname> <given-names>B.</given-names>
</name>
<etal/>
</person-group>. (<year>2007</year>). <article-title>Fluorescence component in the reflectance spectra from coastal waters. Dependence on water composition</article-title>. <source>Optics Express</source> <volume>15</volume> (<issue>24</issue>), <fpage>15702</fpage>&#x2013;<lpage>15721</lpage>. doi:&#xa0;<pub-id pub-id-type="doi">10.1029/2002GL016185</pub-id>
</citation>
</ref>
<ref id="B34">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Gordon</surname> <given-names>H. R.</given-names>
</name>
</person-group> (<year>1979</year>). <article-title>Diffuse reflectance of the ocean: the theory of its augmentation by chlorophyll a fluorescence at 685 nm</article-title>. <source>Appl. Optics</source> <volume>18</volume> (<issue>8</issue>), <elocation-id>1161</elocation-id>. doi:&#xa0;<pub-id pub-id-type="doi">10.1364/ao.18.001161</pub-id>
</citation>
</ref>
<ref id="B35">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Hansen</surname> <given-names>A.</given-names>
</name>
<name>
<surname>Ohde</surname> <given-names>T.</given-names>
</name>
<name>
<surname>Wasmund</surname> <given-names>N.</given-names>
</name>
</person-group> (<year>2014</year>). <article-title>Succession of micro- and nanoplankton groups in ageing upwelled waters off Namibia</article-title>. <source>J. Mar. Syst.</source> <volume>140</volume> (<issue>PB</issue>), <fpage>130</fpage>&#x2013;<lpage>137</lpage>. doi:&#xa0;<pub-id pub-id-type="doi">10.1016/j.jmarsys.2014.05.003</pub-id>
</citation>
</ref>
<ref id="B36">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Hirata</surname> <given-names>T.</given-names>
</name>
<name>
<surname>Hardman-Mountford</surname> <given-names>N. J.</given-names>
</name>
<name>
<surname>Brewin</surname> <given-names>R. J. W.</given-names>
</name>
<name>
<surname>Aiken</surname> <given-names>J.</given-names>
</name>
<name>
<surname>Barlow</surname> <given-names>R.</given-names>
</name>
<name>
<surname>Suzuki</surname> <given-names>K.</given-names>
</name>
<etal/>
</person-group>. (<year>2011</year>). <article-title>Synoptic relationships between surface Chlorophyll- a and diagnostic pigments specific to phytoplankton functional types</article-title>. <source>Biogeosciences</source> <volume>8</volume>, <fpage>311</fpage>&#x2013;<lpage>327</lpage>. doi:&#xa0;<pub-id pub-id-type="doi">10.5194/bg-8-311-2011</pub-id>
</citation>
</ref>
<ref id="B37">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Hoagland</surname> <given-names>P.</given-names>
</name>
<name>
<surname>Anderson</surname> <given-names>D. M.</given-names>
</name>
<name>
<surname>Kaoru</surname> <given-names>Y.</given-names>
</name>
<name>
<surname>White</surname> <given-names>A. W.</given-names>
</name>
</person-group> (<year>2002</year>). <article-title>The economic effects of harmful algal blooms in the United States : estimates, assessment issues, and information needs</article-title>. <source>Estuaries</source> <volume>25</volume> (<issue>4</issue>), <fpage>819</fpage>&#x2013;<lpage>837</lpage>. doi: <pub-id pub-id-type="doi">10.1007/BF02804908</pub-id>
</citation>
</ref>
<ref id="B38">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Hu</surname> <given-names>C.</given-names>
</name>
<name>
<surname>Muller-karger</surname> <given-names>F. E.</given-names>
</name>
<name>
<surname>Taylor</surname> <given-names>J. C.</given-names>
</name>
<name>
<surname>Carder</surname> <given-names>K. L.</given-names>
</name>
<name>
<surname>Kelble</surname> <given-names>C.</given-names>
</name>
<name>
<surname>Johns</surname> <given-names>E</given-names>
</name>
<etal/>
</person-group>. (<year>2005</year>). <article-title>Red tide detection and tracing using MODIS fluorescence data : A regional example in SW Florida coastal waters</article-title>. <source>Remote Sens. Environ.</source> <volume>97</volume>, <fpage>311</fpage>&#x2013;<lpage>321</lpage>. doi:&#xa0;<pub-id pub-id-type="doi">10.1016/j.rse.2005.05.013</pub-id>
</citation>
</ref>
<ref id="B39">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Hu</surname> <given-names>C.</given-names>
</name>
<name>
<surname>Lee</surname> <given-names>Z.</given-names>
</name>
<name>
<surname>Franz</surname> <given-names>B.</given-names>
</name>
</person-group> (<year>2012</year>). <article-title>Chlorophyll a algorithms for oligotrophic oceans: A novel approach based on three-band reflectance difference</article-title>. <source>J. Geophysical Research: Oceans</source> <volume>117</volume> (<issue>1</issue>), <fpage>1</fpage>&#x2013;<lpage>25</lpage>. doi:&#xa0;<pub-id pub-id-type="doi">10.1029/2011JC007395</pub-id>
</citation>
</ref>
<ref id="B40">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Hutchings</surname> <given-names>L.</given-names>
</name>
<name>
<surname>van der Lingen</surname> <given-names>C. D.</given-names>
</name>
<name>
<surname>Shannon</surname> <given-names>L. J.</given-names>
</name>
<name>
<surname>Crawford</surname> <given-names>R. J. M.</given-names>
</name>
<name>
<surname>Verheye</surname> <given-names>H. M. S.</given-names>
</name>
<name>
<surname>Bartholomae</surname> <given-names>C. H.</given-names>
</name>
<etal/>
</person-group>. (<year>2009</year>). <article-title>The Benguela Current: An ecosystem of four components</article-title>. <source>Prog. Oceanography</source> <volume>83</volume> (<issue>1&#x2013;4</issue>), <fpage>15</fpage>&#x2013;<lpage>32</lpage>. doi:&#xa0;<pub-id pub-id-type="doi">10.1016/j.pocean.2009.07.046</pub-id>
</citation>
</ref>
<ref id="B41">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Isada</surname> <given-names>T.</given-names>
</name>
<name>
<surname>Abe</surname> <given-names>H.</given-names>
</name>
<name>
<surname>Kasai</surname> <given-names>H.</given-names>
</name>
<name>
<surname>Nakaoka</surname> <given-names>M.</given-names>
</name>
</person-group>. (<year>2021</year>). <article-title>Dynamics of nutrients and colored dissolved organic matter absorption in a wetland-influenced subarctic coastal region of Northeastern Japan: contributions from mariculture and eelgrass meadows</article-title>. <source>Front. Mar. Sci.</source> <volume>8</volume> (<issue>711832</issue>), <elocation-id>1</elocation-id>&#x2013;<lpage>19</lpage>. doi: <pub-id pub-id-type="doi">10.3389/fmars.2021.711832</pub-id>
</citation>
</ref>
<ref id="B42">
<citation citation-type="book">
<person-group person-group-type="author">
<name>
<surname>Kampf</surname> <given-names>J.</given-names>
</name>
<name>
<surname>Chapman</surname> <given-names>P.</given-names>
</name>
</person-group> (<year>2016</year>). &#x201c;<article-title>The benguela current upwelling system</article-title>,&#x201d; in <source>Upwelling systems of the world.</source> (<publisher-loc>Switzerland</publisher-loc>: <publisher-name>Springer</publisher-name>), <fpage>251</fpage>&#x2013;<lpage>314</lpage>. doi:&#xa0;<pub-id pub-id-type="doi">10.1007/978-3-319-42524-5</pub-id>
</citation>
</ref>
<ref id="B43">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Keller</surname> <given-names>M. D.</given-names>
</name>
</person-group> (<year>1989</year>). <article-title>Dimethyl sulfide production and marine phytoplankton: the importance of species composition and cell size</article-title>. <source>Biol. Oceanography</source> <volume>6</volume>, <fpage>375</fpage>&#x2013;<lpage>382</lpage>. doi:&#xa0;<pub-id pub-id-type="doi">10.1080/01965581.1988.10749540</pub-id>
</citation>
</ref>
<ref id="B44">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Kheireddine</surname> <given-names>M.</given-names>
</name>
<name>
<surname>Ouhssain</surname> <given-names>M.</given-names>
</name>
<name>
<surname>Claustre</surname> <given-names>H.</given-names>
</name>
<name>
<surname>Uitz</surname> <given-names>J.</given-names>
</name>
<name>
<surname>Gentili</surname> <given-names>B.</given-names>
</name>
<name>
<surname>Jones</surname> <given-names>B. H.</given-names>
</name>
</person-group>. (<year>2017</year>). <article-title>Assessing pigment-based phytoplankton community distributions in the Red Sea</article-title>. <source>Front. Mar. Sci.</source> <volume>4</volume> (<issue>MAY</issue>). doi:&#xa0;<pub-id pub-id-type="doi">10.3389/fmars.2017.00132</pub-id>
</citation>
</ref>
<ref id="B45">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Kramer</surname> <given-names>S. J.</given-names>
</name>
<name>
<surname>Siegel</surname> <given-names>D. A.</given-names>
</name>
<name>
<surname>Graff</surname> <given-names>J. R.</given-names>
</name>
</person-group> (<year>2020</year>). <article-title>Phytoplankton community composition determined from co-variability among phytoplankton pigments from the NAAMES field campaign</article-title>. <source>Front. Mar. Sci.</source> <volume>7</volume> (<issue>April</issue>). doi:&#xa0;<pub-id pub-id-type="doi">10.3389/fmars.2020.00215</pub-id>
</citation>
</ref>
<ref id="B46">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Kritten</surname> <given-names>L.</given-names>
</name>
<name>
<surname>Preusker</surname> <given-names>R.</given-names>
</name>
<name>
<surname>Fischer</surname> <given-names>J.</given-names>
</name>
</person-group> (<year>2020</year>). <article-title>A new retrieval of sun-induced chlorophyll fluorescence in water from ocean colour measurements applied on OLCI L-1b and L-2</article-title>. <source>Remote Sens.</source> <volume>12</volume> (<issue>23</issue>), <fpage>1</fpage>&#x2013;<lpage>24</lpage>. doi:&#xa0;<pub-id pub-id-type="doi">10.3390/rs12233949</pub-id>
</citation>
</ref>
<ref id="B47">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Kruk</surname> <given-names>C.</given-names>
</name>
<name>
<surname>Peeters</surname> <given-names>E. T. H. M.</given-names>
</name>
<name>
<surname>Nes Van Huszar</surname> <given-names>E. H. V. L. M.</given-names>
</name>
<name>
<surname>Costa</surname> <given-names>L. S.</given-names>
</name>
<name>
<surname>Scheffer</surname> <given-names>M.</given-names>
</name>
</person-group>. (<year>2011</year>). <article-title>Phytoplankton community composition can be predicted best in terms of morphological groups</article-title>. <source>Limnology Oceanography</source> <volume>56</volume> (<issue>1</issue>), <fpage>110</fpage>&#x2013;<lpage>118</lpage>. doi:&#xa0;<pub-id pub-id-type="doi">10.4319/lo.2011.56.1.0110</pub-id>
</citation>
</ref>
<ref id="B48">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Kwak</surname> <given-names>I.</given-names>
</name>
<name>
<surname>Park</surname> <given-names>Y.</given-names>
</name>
</person-group> (<year>2020</year>). <article-title>Food chains and food webs in aquatic ecosystems</article-title>. <source>Appl. Sci.</source> <volume>10</volume> (<issue>5012</issue>), <fpage>1</fpage>&#x2013;<lpage>5</lpage>. doi: <pub-id pub-id-type="doi">10.3390/app10145012</pub-id>
</citation>
</ref>
<ref id="B49">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Lachkar</surname> <given-names>Z.</given-names>
</name>
<name>
<surname>Gruber</surname> <given-names>N.</given-names>
</name>
</person-group> (<year>2012</year>). <article-title>A comparative study of biological production in eastern boundary upwelling systems using an artificial neural network</article-title>. <source>Biogeosciences</source> <volume>9</volume>, <fpage>293</fpage>&#x2013;<lpage>308</lpage>. doi:&#xa0;<pub-id pub-id-type="doi">10.5194/bg-9-293-2012</pub-id>
</citation>
</ref>
<ref id="B50">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Laiolo</surname> <given-names>L.</given-names>
</name>
<name>
<surname>Matear</surname> <given-names>R.</given-names>
</name>
<name>
<surname>Soja-wo</surname> <given-names>M.</given-names>
</name>
<name>
<surname>Suggett</surname> <given-names>D. J.</given-names>
</name>
<name>
<surname>Hughes</surname> <given-names>D. J.</given-names>
</name>
<name>
<surname>Baird</surname> <given-names>M. E.</given-names>
</name>
<etal/>
</person-group>. (<year>2021</year>). <article-title>Modelling the impact of phytoplankton cell size and abundance on inherent optical properties (IOPs ) and a remotely sensed chlorophyll- a product</article-title>. <source>J. Mar. Syst.</source> <volume>213</volume>, <fpage>1</fpage>&#x2013;<lpage>12</lpage>. doi:&#xa0;<pub-id pub-id-type="doi">10.1016/j.jmarsys.2020.103460</pub-id>
</citation>
</ref>
<ref id="B51">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Lamont</surname> <given-names>T.</given-names>
</name>
<name>
<surname>Barlow</surname> <given-names>R. G.</given-names>
</name>
<name>
<surname>Brewin</surname> <given-names>R. J. W.</given-names>
</name>
</person-group> (<year>2019</year>). <article-title>Long - term trends in phytoplankton chlorophyll a and size structure in the benguela upwelling system</article-title>. <source>J. Geophysical Research: Oceans</source> <volume>51</volume> (<issue>10</issue>), <fpage>1170</fpage>&#x2013;<lpage>1195</lpage>. doi:&#xa0;<pub-id pub-id-type="doi">10.1029/2018JC014334</pub-id>
</citation>
</ref>
<ref id="B52">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Lamont</surname> <given-names>T.</given-names>
</name>
<name>
<surname>Garc&#xed;a-Reyes</surname> <given-names>M.</given-names>
</name>
<name>
<surname>Bograd</surname> <given-names>S. J.</given-names>
</name>
<name>
<surname>van der Lingen</surname> <given-names>C. D.</given-names>
</name>
<name>
<surname>Sydeman</surname> <given-names>W. J.</given-names>
</name>
</person-group> (<year>2018</year>). <article-title>Upwelling indices for comparative ecosystem studies: Variability in the Benguela Upwelling System</article-title>. <source>J. Mar. Syst.</source> <volume>188</volume>, <fpage>3</fpage>&#x2013;<lpage>16</lpage>. doi:&#xa0;<pub-id pub-id-type="doi">10.1016/j.jmarsys.2017.05.007</pub-id>
</citation>
</ref>
<ref id="B53">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Lass</surname> <given-names>H. U.</given-names>
</name>
<name>
<surname>Mohrholz</surname> <given-names>V.</given-names>
</name>
</person-group> (<year>2008</year>). <article-title>On the interaction between the subtropical gyre and the Subtropical Cell on the shelf of the SE Atlantic</article-title>. <source>J. Mar. Systems.</source> <volume>74</volume> (<issue>1&#x2013;2</issue>), <fpage>1</fpage>&#x2013;<lpage>43</lpage>. doi:&#xa0;<pub-id pub-id-type="doi">10.1016/j.jmarsys.2007.09.008</pub-id>
</citation>
</ref>
<ref id="B54">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Letelier</surname> <given-names>R. M.</given-names>
</name>
<name>
<surname>Abbott</surname> <given-names>M. R.</given-names>
</name>
</person-group> (<year>1996</year>). <article-title>An analysis of chlorophyll fluorescence algorithms for the moderate resolution imaging spectrometer (MODIS)</article-title>. <source>Remote Sens. Environ.</source> <volume>58</volume> (<issue>2</issue>), <fpage>215</fpage>&#x2013;<lpage>223</lpage>. doi:&#xa0;<pub-id pub-id-type="doi">10.1016/S0034-4257(96)00073-9</pub-id>
</citation>
</ref>
<ref id="B55">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Lett</surname> <given-names>C.</given-names>
</name>
<name>
<surname>Veitch</surname> <given-names>J.</given-names>
</name>
<name>
<surname>van der Lingen</surname> <given-names>C. D.</given-names>
</name>
<name>
<surname>Hutchings</surname> <given-names>L.</given-names>
</name>
</person-group> (<year>2007</year>). <article-title>Assessment of an environmental barrier to transport of ichthyoplankton from the southern to the northern Benguela ecosystems</article-title>. <source>Mar. Ecol. Prog. Ser.</source> <volume>347</volume>, <fpage>247</fpage>&#x2013;<lpage>259</lpage>. doi:&#xa0;<pub-id pub-id-type="doi">10.3354/meps06982</pub-id>
</citation>
</ref>
<ref id="B56">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Lizotte</surname> <given-names>M.</given-names>
</name>
<name>
<surname>Levasseur</surname> <given-names>M.</given-names>
</name>
<name>
<surname>Law</surname> <given-names>C. S.</given-names>
</name>
<name>
<surname>Walker</surname> <given-names>C. F.</given-names>
</name>
<name>
<surname>Safi</surname> <given-names>K. A.</given-names>
</name>
<name>
<surname>Marriner</surname> <given-names>A.</given-names>
</name>
</person-group> (<year>2017</year>). <article-title>Dimethylsulfoniopropionate (DMSP) and dimethyl sulfide (DMS) cycling across contrasting biological hotspots of the New Zealand subtropical front</article-title>. <source>Ocean Sci.</source> <volume>13</volume>, <fpage>961</fpage>&#x2013;<lpage>982</lpage>. doi: <pub-id pub-id-type="doi">10.5194/os-13-961-2017</pub-id>
</citation>
</ref>
<ref id="B57">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Louw</surname> <given-names>D. C.</given-names>
</name>
<name>
<surname>Doucette</surname> <given-names>G. J.</given-names>
</name>
<name>
<surname>Voges</surname> <given-names>E.</given-names>
</name>
</person-group> (<year>2017</year>). <article-title>Annual patterns, distribution and long-term trends of Pseudo-nitzschia species in the northern Benguela upwelling system</article-title>. <source>J. Plankton Res.</source> <volume>39</volume> (<issue>1</issue>), <fpage>35</fpage>&#x2013;<lpage>47</lpage>. doi:&#xa0;<pub-id pub-id-type="doi">10.1093/plankt/fbw079</pub-id>
</citation>
</ref>
<ref id="B58">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Louw</surname> <given-names>D. C.</given-names>
</name>
<name>
<surname>Plas</surname> <given-names>A. K.</given-names>
</name>
<name>
<surname>Van Der Mohrholz</surname> <given-names>V.</given-names>
</name>
<name>
<surname>Wasmund</surname> <given-names>N.</given-names>
</name>
<name>
<surname>Junker</surname> <given-names>T.</given-names>
</name>
<name>
<surname>Eggert</surname> <given-names>A.</given-names>
</name>
</person-group>. (<year>2016</year>). <article-title>Seasonal and interannual phytoplankton dynamics and forcing mechanisms in the Northern Benguela upwelling system</article-title>. <source>J. Mar. Systems.</source> <volume>157</volume>, <fpage>124</fpage>&#x2013;<lpage>134</lpage>. doi:&#xa0;<pub-id pub-id-type="doi">10.1016/j.jmarsys.2016.01.009</pub-id>
</citation>
</ref>
<ref id="B59">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Mackey</surname> <given-names>M. D.</given-names>
</name>
<name>
<surname>Mackey</surname> <given-names>D. J.</given-names>
</name>
<name>
<surname>Higgins</surname> <given-names>H. W.</given-names>
</name>
<name>
<surname>Wright</surname> <given-names>S. W.</given-names>
</name>
</person-group> (<year>1996</year>). <article-title>CHEMTAX - A program for estimating class abundances from chemical markers: Application to HPLC measurements of phytoplankton</article-title>. <source>Mar. Ecol. Prog. Ser.</source> <volume>144</volume> (<issue>1&#x2013;3</issue>), <fpage>265</fpage>&#x2013;<lpage>283</lpage>. doi:&#xa0;<pub-id pub-id-type="doi">10.3354/meps144265</pub-id>
</citation>
</ref>
<ref id="B60">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Mao</surname> <given-names>Z.</given-names>
</name>
<name>
<surname>Stuart</surname> <given-names>V.</given-names>
</name>
<name>
<surname>Pan</surname> <given-names>D.</given-names>
</name>
<name>
<surname>Chen</surname> <given-names>J.</given-names>
</name>
<name>
<surname>Gong</surname> <given-names>F.</given-names>
</name>
<name>
<surname>Huang</surname> <given-names>H.</given-names>
</name>
<etal/>
</person-group>. (<year>2010</year>). <article-title>Effects of phytoplankton species composition on absorption spectra and modeled hyperspectral reflectance</article-title>. <source>Ecol. Informatics.</source> <volume>5</volume> (<issue>5</issue>), <fpage>359</fpage>&#x2013;<lpage>366</lpage>. doi:&#xa0;<pub-id pub-id-type="doi">10.1016/j.ecoinf.2010.04.004</pub-id>
</citation>
</ref>
<ref id="B61">
<citation citation-type="book">
<person-group person-group-type="author">
<name>
<surname>Matlakala</surname> <given-names>M. L.</given-names>
</name>
</person-group> (<year>2019</year>). <source>Seasonal characteristics of phytoplankton bloom phenology in the northern Benguela Upwelling System.</source> (<publisher-loc>Cape Town, Rondebosch, South Africa</publisher-loc>: <publisher-name>University of Cape Town</publisher-name>).</citation>
</ref>
<ref id="B62">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Mayer</surname> <given-names>K. J.</given-names>
</name>
<name>
<surname>Wang</surname> <given-names>X.</given-names>
</name>
<name>
<surname>Santander</surname> <given-names>M. V</given-names>
</name>
<name>
<surname>Mitts</surname> <given-names>B. A.</given-names>
</name>
<name>
<surname>Sauer</surname> <given-names>J. S.</given-names>
</name>
<name>
<surname>Sultana</surname> <given-names>C. M.</given-names>
</name>
<etal/>
</person-group>. (<year>2020</year>). <article-title>Secondary marine aerosol plays a dominant role over primary sea spray aerosol in cloud formation</article-title>. <source>ACS Cent. Sci.</source> <volume>6</volume> (<issue>12</issue>), <fpage>2259</fpage>&#x2013;<lpage>2266</lpage>. doi: <pub-id pub-id-type="doi">10.1021/acscentsci.0c00793</pub-id>
</citation>
</ref>
<ref id="B63">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Mcclelland</surname> <given-names>H. L. O.</given-names>
</name>
<name>
<surname>Barbarin</surname> <given-names>N.</given-names>
</name>
<name>
<surname>Beaufort</surname> <given-names>L.</given-names>
</name>
<name>
<surname>Hermoso</surname> <given-names>M.</given-names>
</name>
<name>
<surname>Ferretti</surname> <given-names>P.</given-names>
</name>
<name>
<surname>Greaves</surname> <given-names>M.</given-names>
</name>
<etal/>
</person-group>. (<year>2016</year>). <article-title>Calcification response of a key phytoplankton family to millennial- scale environmental change</article-title>. <source>Nat. Sci. Rep. Nat. Publishing Group</source> <volume>6</volume>, <fpage>1</fpage>&#x2013;<lpage>11</lpage>. doi:&#xa0;<pub-id pub-id-type="doi">10.1038/srep34263</pub-id>
</citation>
</ref>
<ref id="B64">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Mohrholz</surname> <given-names>V.</given-names>
</name>
<name>
<surname>Eggert</surname> <given-names>A.</given-names>
</name>
<name>
<surname>Junker</surname> <given-names>T.</given-names>
</name>
<name>
<surname>Nausch</surname> <given-names>G.</given-names>
</name>
<name>
<surname>Ohde</surname> <given-names>T.</given-names>
</name>
<name>
<surname>Schmidt</surname> <given-names>M.</given-names>
</name>
</person-group>. (<year>2014</year>). <article-title>Cross shelf hydrographic and hydrochemical conditions and their short term variability at the northern Benguela during a normal upwelling season</article-title>. <source>J. Mar. Systems.</source> <volume>140</volume> (<issue>PB</issue>), <fpage>92</fpage>&#x2013;<lpage>110</lpage>. doi:&#xa0;<pub-id pub-id-type="doi">10.1016/j.jmarsys.2014.04.019</pub-id>
</citation>
</ref>
<ref id="B65">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Morel</surname> <given-names>A.</given-names>
</name>
<name>
<surname>Claustre</surname> <given-names>H.</given-names>
</name>
<name>
<surname>Gentili</surname> <given-names>B.</given-names>
</name>
</person-group> (<year>2010</year>). <article-title>The most oligotrophic subtropical zones of the global ocean: Similarities and differences in terms of chlorophyll and yellow substance</article-title>. <source>Biogeosciences</source> <volume>7</volume> (<issue>10</issue>), <fpage>3139</fpage>&#x2013;<lpage>3151</lpage>. doi:&#xa0;<pub-id pub-id-type="doi">10.5194/bg-7-3139-2010</pub-id>
</citation>
</ref>
<ref id="B66">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Moutier</surname> <given-names>W.</given-names>
</name>
<name>
<surname>Thomalla</surname> <given-names>S. J.</given-names>
</name>
<name>
<surname>Bernard</surname> <given-names>S.</given-names>
</name>
<name>
<surname>Wind</surname> <given-names>G.</given-names>
</name>
<name>
<surname>Ryan-keogh</surname> <given-names>T. J.</given-names>
</name>
<name>
<surname>Smith</surname> <given-names>M. E.</given-names>
</name>
</person-group> (<year>2019</year>). <article-title>Evaluation of chlorophyll-a and POC MODIS aqua products in the southern ocean</article-title>. <source>Remote Sens.</source> <volume>11</volume>, <fpage>1</fpage>&#x2013;<lpage>18</lpage>. doi:&#xa0;<pub-id pub-id-type="doi">10.3390/rs11151793</pub-id>
</citation>
</ref>
<ref id="B67">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Ohde</surname> <given-names>T.</given-names>
</name>
<name>
<surname>Dadou</surname> <given-names>I.</given-names>
</name>
</person-group> (<year>2018</year>). <article-title>Seasonal and annual variability of coastal sulphur plumes in the northern Benguela upwelling system</article-title>. <source>PloS One</source> <volume>13</volume> (<issue>2</issue>), <fpage>1</fpage>&#x2013;<lpage>33</lpage>. doi: <pub-id pub-id-type="doi">10.1371/journal.pone.0192140</pub-id>
</citation>
</ref>
<ref id="B68">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>O&#x2019;Reilly</surname> <given-names>J. E.</given-names>
</name>
<name>
<surname>Maritorena</surname> <given-names>S.</given-names>
</name>
<name>
<surname>Mitchell</surname> <given-names>B. G.</given-names>
</name>
<name>
<surname>Siegel</surname> <given-names>D. A.</given-names>
</name>
<name>
<surname>Carder</surname> <given-names>K. L.</given-names>
</name>
<name>
<surname>Garver</surname> <given-names>S. A.</given-names>
</name>
<etal/>
</person-group>. (<year>1998</year>). <article-title>Ocean color chlorophyll algorithms for SeaWiFS</article-title>. <source>J. Geophysical Res.</source> <volume>103</volume> (<issue>Cll</issue>), <fpage>24937</fpage>&#x2013;<lpage>24953</lpage>. doi: <pub-id pub-id-type="doi">10.1029/98JC02160</pub-id>
</citation>
</ref>
<ref id="B69">
<citation citation-type="book">
<person-group person-group-type="author">
<name>
<surname>O&#x2019;Reilly</surname> <given-names>J.</given-names>
</name>
</person-group> (<year>2000</year>). &#x201c;<article-title>Ocean Color Chlorophyll-a Algorithm for SeaWiFS, OC2, and OC4: SeaWiFS Postlaunch Technical Report Series</article-title>,&#x201d;In: <person-group person-group-type="editor">
<name>
<surname>Hooker</surname> <given-names>S. B.</given-names>
</name>
<name>
<surname>Firestone</surname> <given-names>R.</given-names>
</name>
</person-group> Eds., Volume <volume>11</volume>, <source>SeaWiFS Postlaunch Calibration and Validation Analyses Version 4, Part 3</source>, <publisher-name>NASA Goddard Space Flight Center</publisher-name>, <publisher-loc>Greenbelt</publisher-loc>, <fpage>9</fpage>&#x2013;<lpage>23</lpage>.</citation>
</ref>
<ref id="B70">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Otero</surname> <given-names>J.</given-names>
</name>
<name>
<surname>&#xc1;lvarez-salgado</surname> <given-names>X. A.</given-names>
</name>
<name>
<surname>Bode</surname> <given-names>A.</given-names>
</name>
</person-group> (<year>2020</year>). <article-title>Phytoplankton diversity effect on ecosystem functioning in a coastal upwelling system</article-title>. <source>Front. Mar. Sci.</source> <volume>7</volume>. doi:&#xa0;<pub-id pub-id-type="doi">10.3389/fmars.2020.592255</pub-id>
</citation>
</ref>
<ref id="B71">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Paul</surname> <given-names>M.</given-names>
</name>
<name>
<surname>Velappan</surname> <given-names>M. N.</given-names>
</name>
<name>
<surname>Nanappan</surname> <given-names>U.</given-names>
</name>
<name>
<surname>Gopinath</surname> <given-names>V.</given-names>
</name>
<name>
<surname>Velloth</surname> <given-names>R. T.</given-names>
</name>
<name>
<surname>Rajendran</surname> <given-names>A.</given-names>
</name>
<etal/>
</person-group>. (<year>2021</year>). <article-title>Characterization of phytoplankton size-structure based productivity, pigment complexes (HPLC/CHEMTAX) and species composition in the Cochin estuary (southwest coast of India): special emphasis on diatoms</article-title>. <source>Oceanologia.</source> <volume>63</volume> (<issue>4</issue>), <fpage>463</fpage>&#x2013;<lpage>481</lpage>. doi:&#xa0;<pub-id pub-id-type="doi">10.1016/j.oceano.2021.05.004</pub-id>
</citation>
</ref>
<ref id="B72">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Pei</surname> <given-names>S.</given-names>
</name>
<name>
<surname>Laws</surname> <given-names>E. A.</given-names>
</name>
<name>
<surname>Zhang</surname> <given-names>H.</given-names>
</name>
<name>
<surname>Ye</surname> <given-names>S.</given-names>
</name>
<name>
<surname>Yuan</surname> <given-names>H.</given-names>
</name>
<name>
<surname>Liu</surname> <given-names>H.</given-names>
</name>
</person-group> (<year>2017</year>). <article-title>Patchiness of phytoplankton and primary production in Liaodong Bay, China</article-title>. <source>PloS One</source> <volume>12</volume> (<issue>2</issue>), <fpage>1</fpage>&#x2013;<lpage>14</lpage>. doi:&#xa0;<pub-id pub-id-type="doi">10.1371/journal.pone.0173067</pub-id>
</citation>
</ref>
<ref id="B73">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Pollard</surname> <given-names>R. T.</given-names>
</name>
<name>
<surname>Salter</surname> <given-names>I.</given-names>
</name>
<name>
<surname>Sanders</surname> <given-names>R. J.</given-names>
</name>
<name>
<surname>Lucas</surname> <given-names>M. I.</given-names>
</name>
<name>
<surname>Moore</surname> <given-names>C. M.</given-names>
</name>
<name>
<surname>Mills</surname> <given-names>R. A.</given-names>
</name>
<etal/>
</person-group>. (<year>2009</year>). <article-title>Southern Ocean deep-water carbon export enhanced by natural iron fertilization</article-title>. <source>Nature</source> <volume>457</volume>, <fpage>14</fpage>&#x2013;<lpage>18</lpage>. doi:&#xa0;<pub-id pub-id-type="doi">10.1038/nature07716</pub-id>
</citation>
</ref>
<ref id="B74">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Polonsky</surname> <given-names>A. B.</given-names>
</name>
<name>
<surname>Serebrennikov</surname> <given-names>A. N.</given-names>
</name>
</person-group> (<year>2020</year>). <article-title>On the change in the sea surface temperature in the Benguela upwelling region: part II. Long-term tendencies</article-title>. <source>Atmospheric Ocean Phys.</source> <volume>56</volume> (<issue>9</issue>), <fpage>970</fpage>&#x2013;<lpage>978</lpage>. doi:&#xa0;<pub-id pub-id-type="doi">10.1134/S0001433820090200</pub-id>
</citation>
</ref>
<ref id="B75">
<citation citation-type="book">
<person-group person-group-type="author">
<name>
<surname>Riebesell</surname> <given-names>U.</given-names>
</name>
<name>
<surname>Rost</surname> <given-names>B.</given-names>
</name>
</person-group> (<year>2004</year>). &#x201c;<article-title>Coccolithophores and the biological pump: responses to environmental changes</article-title>,&#x201d; in <source>Coccolithophores: from molecular processes to global impact</source>. Eds. <person-group person-group-type="editor">
<name>
<surname>Young</surname> <given-names>J. R.</given-names>
</name>
<name>
<surname>Thierstein</surname> <given-names>H. R.</given-names>
</name>
</person-group> (<publisher-loc>Berlin</publisher-loc>: <publisher-name>Springer</publisher-name>), <fpage>99</fpage>&#x2013;<lpage>125</lpage>.</citation>
</ref>
<ref id="B76">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Rouault</surname> <given-names>M.</given-names>
</name>
<name>
<surname>Illig</surname> <given-names>S.</given-names>
</name>
<name>
<surname>L&#xfc;bbecke</surname> <given-names>J.</given-names>
</name>
<name>
<surname>Koungue</surname> <given-names>R. A. I.</given-names>
</name>
</person-group> (<year>2018</year>). <article-title>Origin, development and demise of the 2010 &#x2013; 2011 Benguela Ni&#xf1;o</article-title>. <source>J. Mar. Systems.</source> <volume>188</volume> (<issue>November 2016</issue>), <fpage>39</fpage>&#x2013;<lpage>48</lpage>. doi:&#xa0;<pub-id pub-id-type="doi">10.1016/j.jmarsys.2017.07.007</pub-id>
</citation>
</ref>
<ref id="B77">
<citation citation-type="book">
<person-group person-group-type="author">
<name>
<surname>Schalles</surname> <given-names>J. F.</given-names>
</name>
</person-group> (<year>2006</year>). &#x201c;<article-title>Optical remote sensing techniques to estimate phytoplankton chlorophyll a concentrations in coastal waters with varying suspended matter and cdom concentrations</article-title>,&#x201d; in <source>Remote sensing of aquatic coastal ecosystem processes.</source> (<publisher-loc>Dordrecht</publisher-loc>: <publisher-name>Springer</publisher-name>), <fpage>27</fpage>&#x2013;<lpage>79</lpage>.</citation>
</ref>
<ref id="B78">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Scheinin</surname> <given-names>M.</given-names>
</name>
<name>
<surname>Asmala</surname> <given-names>E.</given-names>
</name>
</person-group> (<year>2020</year>). <article-title>Ubiquitous patchiness in chlorophyll a concentration in coastal archipelago of Baltic Sea</article-title>. <source>Front. Mar. Sci.</source> <volume>7</volume> (<issue>July</issue>). doi:&#xa0;<pub-id pub-id-type="doi">10.3389/fmars.2020.00563</pub-id>
</citation>
</ref>
<ref id="B79">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Shikwambana</surname> <given-names>L.</given-names>
</name>
<name>
<surname>Kganyago</surname> <given-names>M.</given-names>
</name>
</person-group> (<year>2022</year>). <article-title>Meteorological influence of mineral dust distribution over South-Western Africa deserts using reanalysis and satellite data</article-title>. <source>Front. Environ. Sci.</source> <volume>10</volume> (<issue>June</issue>). doi:&#xa0;<pub-id pub-id-type="doi">10.3389/fenvs.2022.856438</pub-id>
</citation>
</ref>
<ref id="B80">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Shillington</surname> <given-names>F.</given-names>
</name>
<name>
<surname>Reason</surname> <given-names>C. J.</given-names>
</name>
<name>
<surname>Duncombe rae</surname> <given-names>C.</given-names>
</name>
<name>
<surname>Florenchie</surname> <given-names>P.</given-names>
</name>
<name>
<surname>Penven</surname> <given-names>P.</given-names>
</name>
</person-group> (<year>2006</year>). <article-title>Large scale physical variability of the benguela current large marine ecosystem (BCLME)</article-title>. <source>Large Mar. Ecosyst.</source> <volume>14</volume>, <fpage>15</fpage>&#x2013;<lpage>30</lpage>. doi: <pub-id pub-id-type="doi">10.1016/S1570-0461(06)80009-1</pub-id>
</citation>
</ref>
<ref id="B81">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Smetacek</surname> <given-names>V.</given-names>
</name>
</person-group> (<year>1999</year>). <article-title>Diatoms and the ocean carbon cycle</article-title>. <source>Protist</source> <volume>150</volume> (<issue>1</issue>), <fpage>25</fpage>&#x2013;<lpage>32</lpage>. doi:&#xa0;<pub-id pub-id-type="doi">10.1016/S1434-4610(99)70006-4</pub-id>
</citation>
</ref>
<ref id="B82">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Smith</surname> <given-names>M. E.</given-names>
</name>
<name>
<surname>Bernard</surname> <given-names>S.</given-names>
</name>
</person-group> (<year>2020</year>). <article-title>Satellite ocean color based harmful algal bloom indicators for aquaculture decision support in the Southern Benguela</article-title>. <source>Front. Mar. Sci.</source> <volume>7</volume> (<issue>61</issue>). doi:&#xa0;<pub-id pub-id-type="doi">10.3389/fmars.2020.00061</pub-id>
</citation>
</ref>
<ref id="B83">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Smith</surname> <given-names>M. E.</given-names>
</name>
<name>
<surname>Robertson Lain</surname> <given-names>L.</given-names>
</name>
<name>
<surname>Bernard</surname> <given-names>S.</given-names>
</name>
</person-group> (<year>2018</year>). <article-title>An optimized Chlorophyll a switching algorithm for MERIS and OLCI in phytoplankton-dominated waters</article-title>. <source>Remote Sens. Environ.</source> <volume>215</volume> (<issue>January</issue>), <fpage>217</fpage>&#x2013;<lpage>227</lpage>. doi:&#xa0;<pub-id pub-id-type="doi">10.1016/j.rse.2018.06.002</pub-id>
</citation>
</ref>
<ref id="B84">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Soja-Wozniak</surname> <given-names>M.</given-names>
</name>
<name>
<surname>Darecki</surname> <given-names>M.</given-names>
</name>
<name>
<surname>Wojtasiewicz</surname> <given-names>B.</given-names>
</name>
</person-group> (<year>2018</year>). <article-title>Laboratory measurements of remote sensing reflectance of selected phytoplankton species from the Baltic Sea</article-title>. <source>Oceanologia</source> <volume>60</volume>, <fpage>86</fpage>&#x2013;<lpage>96</lpage>. doi:&#xa0;<pub-id pub-id-type="doi">10.1016/j.oceano.2017.08.001</pub-id>
</citation>
</ref>
<ref id="B85">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Soja-Wo&#x17a;niak</surname> <given-names>M.</given-names>
</name>
<name>
<surname>Laiolo</surname> <given-names>L.</given-names>
</name>
<name>
<surname>Baird</surname> <given-names>M. E.</given-names>
</name>
<name>
<surname>Matear</surname> <given-names>R.</given-names>
</name>
<name>
<surname>Clementson</surname> <given-names>L.</given-names>
</name>
<name>
<surname>Schroeder</surname> <given-names>T.</given-names>
</name>
<etal/>
</person-group>. (<year>2020</year>). <article-title>Effect of phytoplankton community size structure on remote-sensing reflectance and chlorophyll a products</article-title>. <source>J. Mar. Syst.</source> <volume>211</volume>, <elocation-id>103400</elocation-id>. doi:&#xa0;<pub-id pub-id-type="doi">10.1016/j.jmarsys.2020.103400</pub-id>
</citation>
</ref>
<ref id="B86">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Spirig</surname> <given-names>R.</given-names>
</name>
<name>
<surname>Vogt</surname> <given-names>R.</given-names>
</name>
<name>
<surname>Larsen</surname> <given-names>J. A.</given-names>
</name>
<name>
<surname>Feigenwinter</surname> <given-names>C.</given-names>
</name>
<name>
<surname>Wicki</surname> <given-names>A.</given-names>
</name>
<name>
<surname>Franceschi</surname> <given-names>J.</given-names>
</name>
<etal/>
</person-group>. (<year>2017</year>). <article-title>Probing the fog life cycles in the Namib desert</article-title>. <source>Bull. Am. Meteorological Soc.</source> <volume>100</volume> (<issue>12</issue>), <fpage>2491</fpage>&#x2013;<lpage>2508</lpage>. doi:&#xa0;<pub-id pub-id-type="doi">10.1175/BAMS-D-18-0142.1</pub-id>
</citation>
</ref>
<ref id="B87">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Stefels</surname> <given-names>J.</given-names>
</name>
</person-group> (<year>2000</year>). <article-title>Physiological aspects of the production and conversion of DMSP in marine algae and higher plants</article-title>. <source>J. Sea Res.</source> <volume>43</volume> (<issue>3&#x2013;4</issue>), <fpage>183</fpage>&#x2013;<lpage>197</lpage>. doi:&#xa0;<pub-id pub-id-type="doi">10.1016/S1385-1101(00)00030-7</pub-id>
</citation>
</ref>
<ref id="B88">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Stock</surname> <given-names>C. A.</given-names>
</name>
<name>
<surname>John</surname> <given-names>J. G.</given-names>
</name>
<name>
<surname>Rykaczewski</surname> <given-names>R. R.</given-names>
</name>
<name>
<surname>Asch</surname> <given-names>R. G.</given-names>
</name>
<name>
<surname>Cheung</surname> <given-names>W. W. L.</given-names>
</name>
<name>
<surname>Dunne</surname> <given-names>J. P.</given-names>
</name>
<etal/>
</person-group>. (<year>2017</year>). <article-title>Reconciling fisheries catch and ocean productivity</article-title>. <source>PNAS</source> <volume>1</volume>, <fpage>1441</fpage>&#x2013;<lpage>1449</lpage>. doi:&#xa0;<pub-id pub-id-type="doi">10.1073/pnas.1610238114</pub-id>
</citation>
</ref>
<ref id="B89">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Thuillier</surname> <given-names>G.</given-names>
</name>
<name>
<surname>Herse</surname> <given-names>M.</given-names>
</name>
<name>
<surname>Labs</surname> <given-names>D.</given-names>
</name>
<name>
<surname>Foujols</surname> <given-names>T.</given-names>
</name>
<name>
<surname>Peetermans</surname> <given-names>W.</given-names>
</name>
<name>
<surname>Gillotay</surname> <given-names>D.</given-names>
</name>
<etal/>
</person-group>. (<year>2003</year>). <article-title>The solar spectral irradiance from 200 to 2400 nm as measured by the SOLSPEC spectrometer from the ATLAS and EURECA missions</article-title>. <source>Solar Phys.</source> <volume>214</volume> (<issue>1</issue>), <fpage>1</fpage>&#x2013;<lpage>22</lpage>. doi: <pub-id pub-id-type="doi">10.1023/A:1024048429145</pub-id>
</citation>
</ref>
<ref id="B90">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Tortell</surname> <given-names>P. D.</given-names>
</name>
<name>
<surname>Payne</surname> <given-names>C. D.</given-names>
</name>
<name>
<surname>Li</surname> <given-names>Y.</given-names>
</name>
<name>
<surname>Trimborn</surname> <given-names>S.</given-names>
</name>
<name>
<surname>Smith</surname> <given-names>W. O.</given-names>
</name>
<name>
<surname>Riesselman</surname> <given-names>C.</given-names>
</name>
<etal/>
</person-group>. (<year>2008</year>). <article-title>CO 2 sensitivity of Southern Ocean phytoplankton</article-title>. <source>Geophysical Res. Lett.</source> <volume>35</volume>, <fpage>1</fpage>&#x2013;<lpage>5</lpage>. doi:&#xa0;<pub-id pub-id-type="doi">10.1029/2007GL032583</pub-id>
</citation>
</ref>
<ref id="B91">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Uitz</surname> <given-names>J.</given-names>
</name>
<name>
<surname>Claustre</surname> <given-names>H.</given-names>
</name>
<name>
<surname>Morel</surname> <given-names>A.</given-names>
</name>
<name>
<surname>Hooker</surname> <given-names>S. B.</given-names>
</name>
</person-group>. (<year>2006</year>). <article-title>Vertical distribution of phytoplankton communities in open ocean : An assessment based on surface chlorophyll</article-title>. <source>J. Geophysical Res.</source> <volume>111</volume> (<issue>1</issue>), <fpage>1</fpage>&#x2013;<lpage>23</lpage>. doi:&#xa0;<pub-id pub-id-type="doi">10.1029/2005JC003207</pub-id>
</citation>
</ref>
<ref id="B92">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Uterm&#xf6;hl</surname> <given-names>H.</given-names>
</name>
</person-group> (<year>1958</year>). <article-title>Zur Vervollkommnung der quantitativen Phytoplankton-Methodik</article-title>. <source>Mitt. der Internationalen Vereinigung f&#xfc;r Theoretische und Angewandte Limnologie</source> <volume>9</volume> (<issue>1</issue>), <fpage>1</fpage>&#x2013;<lpage>38</lpage>. doi:&#xa0;<pub-id pub-id-type="doi">10.1080/05384680.1958.11904091</pub-id>
</citation>
</ref>
<ref id="B93">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Vaillancourt</surname> <given-names>R. D.</given-names>
</name>
<name>
<surname>Brown</surname> <given-names>C. W.</given-names>
</name>
<name>
<surname>Guillard</surname> <given-names>R. R. L.</given-names>
</name>
<name>
<surname>Balch</surname> <given-names>W. M.</given-names>
</name>
</person-group> (<year>2004</year>). <article-title>Light backscattering properties of marine phytoplankton : relationships to cell size, chemical composition and taxonomy</article-title>. <source>J. Plankton Res.</source> <volume>26</volume> (<issue>2</issue>), <fpage>191</fpage>&#x2013;<lpage>212</lpage>. doi:&#xa0;<pub-id pub-id-type="doi">10.1093/plankt/fbh012</pub-id>
</citation>
</ref>
<ref id="B94">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Vidussi</surname> <given-names>F.</given-names>
</name>
<name>
<surname>Clauster</surname> <given-names>H.</given-names>
</name>
<name>
<surname>Manca</surname> <given-names>B. B.</given-names>
</name>
<name>
<surname>Luchetta</surname> <given-names>A.</given-names>
</name>
<name>
<surname>Marty</surname> <given-names>J.-C.</given-names>
</name>
</person-group> (<year>2001</year>). <article-title>Phytoplankton pigment distribution in relation to upper thermocline circulation in the eastern Mediterranean Sea during winter</article-title>. <source>J. Geophysical Res.</source> <volume>106</volume>, <fpage>939</fpage>&#x2013;<lpage>956</lpage>. doi: <pub-id pub-id-type="doi">10.1029/1999JC000308</pub-id>
</citation>
</ref>
<ref id="B95">
<citation citation-type="book">
<person-group person-group-type="author">
<name>
<surname>Wasmund</surname> <given-names>N.</given-names>
</name>
</person-group> (<year>2011</year>a). <source>Chlorophyll pigments from the Namibian upwelling system during Discovery 356, Leibniz Institute for Baltic Sea Research</source>. doi:&#xa0;<pub-id pub-id-type="doi">10.1594/PANGAEA.773204</pub-id>
</citation>
</ref>
<ref id="B96">
<citation citation-type="book">
<person-group person-group-type="author">
<name>
<surname>Wasmund</surname> <given-names>N.</given-names>
</name>
</person-group> (<year>2011</year>b). <source>Phytoplankton biomass from the Namibian upwelling system during Discovery 356, Leibniz Institute for Baltic Sea Research</source> (<publisher-loc>Warnem&#xfc;nde</publisher-loc>: <publisher-name>PANGAEA</publisher-name>). doi:&#xa0;<pub-id pub-id-type="doi">10.1594/PANGAEA.773205</pub-id>
</citation>
</ref>
<ref id="B97">
<citation citation-type="book">
<person-group person-group-type="author">
<name>
<surname>Wasmund</surname> <given-names>N.</given-names>
</name>
</person-group> (<year>2012</year>). <source>Phytoplankton measurements from the Namibian upwelling system during the Maria S. Merian cruise MSM 17/3, Leibniz Institute for Baltic Sea Research</source> (<publisher-loc>Warnem&#xfc;nde</publisher-loc>: <publisher-name>PANGAEA</publisher-name>). doi:&#xa0;<pub-id pub-id-type="doi">10.1594/PANGAEA.779150</pub-id>
</citation>
</ref>
<ref id="B98">
<citation citation-type="book">
<person-group person-group-type="author">
<name>
<surname>Wasmund</surname> <given-names>N.</given-names>
</name>
</person-group> (<year>2015</year>a). <source>Chlorophyll pigments from the Namibian upwelling system during Maria S. Merain cruise MSM17/3</source> (<publisher-name>PANGAEA</publisher-name>). doi:&#xa0;<pub-id pub-id-type="doi">10.1594/PANGAEA.843325</pub-id>
</citation>
</ref>
<ref id="B99">
<citation citation-type="book">
<person-group person-group-type="author">
<name>
<surname>Wasmund</surname> <given-names>N.</given-names>
</name>
</person-group> (<year>2015</year>b). <source>Chlorophyll pigments from the Namibian upwelling system during Maria S. Merain cruise MSM18/4</source> (<publisher-name>PANGAEA</publisher-name>). doi:&#xa0;<pub-id pub-id-type="doi">10.1594/PANGAEA.843328</pub-id>
</citation>
</ref>
<ref id="B100">
<citation citation-type="book">
<person-group person-group-type="author">
<name>
<surname>Wasmund</surname> <given-names>N.</given-names>
</name>
</person-group> (<year>2015</year>c). <source>Phytoplankton biomass from the Namibian upwelling system during Maria S. Merain cruise MSM18/4</source> (<publisher-name>PANGAEA</publisher-name>). doi:&#xa0;<pub-id pub-id-type="doi">10.1594/PANGAEA.843339</pub-id>
</citation>
</ref>
<ref id="B101">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Wasmund</surname> <given-names>N.</given-names>
</name>
<name>
<surname>Nausch</surname> <given-names>G.</given-names>
</name>
<name>
<surname>Hansen</surname> <given-names>A.</given-names>
</name>
</person-group> (<year>2014</year>). <article-title>Phytoplankton succession in an isolated upwelled Benguela water body in relation to different initial nutrient conditions</article-title>. <source>J. Mar. Systems.</source> <volume>140</volume> (<issue>1</issue>), <fpage>163</fpage>&#x2013;<lpage>174</lpage>. doi:&#xa0;<pub-id pub-id-type="doi">10.1016/j.jmarsys.2014.03.006</pub-id>
</citation>
</ref>
<ref id="B102">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Welschmeyer</surname> <given-names>N.</given-names>
</name>
</person-group> (<year>1994</year>). <article-title>Fluorometric analysis of chlorophyll a in the presence of chlorophyll b and pheopigments</article-title>. <source>Limnology Oceanography</source> <volume>39</volume> (<issue>8</issue>), <fpage>1985</fpage>&#x2013;<lpage>1992</lpage>. doi: <pub-id pub-id-type="doi">10.4319/lo.1994.39.8.1985</pub-id>
</citation>
</ref>
<ref id="B103">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Williams</surname> <given-names>O. J.</given-names>
</name>
<name>
<surname>Beckett</surname> <given-names>R. E.</given-names>
</name>
<name>
<surname>Maxwell</surname> <given-names>D. L.</given-names>
</name>
</person-group> (<year>2016</year>). <article-title>Marine phytoplankton preservation with Lugol&#x2019;s: a comparison of solutions</article-title>. <source>J. Appl. Phycology. J. Appl. Phycology</source> <volume>28</volume> (<issue>3</issue>), <fpage>1705</fpage>&#x2013;<lpage>1712</lpage>. doi:&#xa0;<pub-id pub-id-type="doi">10.1007/s10811-015-0704-4</pub-id>
</citation>
</ref>
</ref-list>
</back>
</article>