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<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.2017.00137</article-id>
<article-categories>
<subj-group subj-group-type="heading">
<subject>Marine Science</subject>
<subj-group>
<subject>Original Research</subject>
</subj-group>
</subj-group>
</article-categories>
<title-group>
<article-title>Shellfish Aquaculture from Space: Potential of Sentinel2 to Monitor Tide-Driven Changes in Turbidity, Chlorophyll Concentration and Oyster Physiological Response at the Scale of an Oyster Farm</article-title>
</title-group>
<contrib-group>
<contrib contrib-type="author" corresp="yes">
<name><surname>Gernez</surname> <given-names>Pierre</given-names></name>
<xref ref-type="aff" rid="aff1"><sup>1</sup></xref>
<xref ref-type="author-notes" rid="fn001"><sup>&#x0002A;</sup></xref>
<uri xlink:href="http://loop.frontiersin.org/people/406073/overview"/>
</contrib>
<contrib contrib-type="author">
<name><surname>Doxaran</surname> <given-names>David</given-names></name>
<xref ref-type="aff" rid="aff2"><sup>2</sup></xref>
<uri xlink:href="http://loop.frontiersin.org/people/425038/overview"/>
</contrib>
<contrib contrib-type="author">
<name><surname>Barill&#x000E9;</surname> <given-names>Laurent</given-names></name>
<xref ref-type="aff" rid="aff1"><sup>1</sup></xref>
<uri xlink:href="http://loop.frontiersin.org/people/436671/overview"/>
</contrib>
</contrib-group>
<aff id="aff1"><sup>1</sup><institution>Mer Mol&#x000E9;cules Sant&#x000E9; (MMS EA 2160), Universit&#x000E9; de Nantes</institution> <country>Nantes, France</country></aff>
<aff id="aff2"><sup>2</sup><institution>Laboratoire d&#x00027;Oc&#x000E9;anographie de Villefranche (UMR 7093), Centre Nationnal de la Recherche Scientifique, UPMC</institution> <country>Villefranche sur mer, France</country></aff>
<author-notes>
<fn fn-type="edited-by"><p>Edited by: Tiit Kutser, University of Tartu, Estonia</p></fn>
<fn fn-type="edited-by"><p>Reviewed by: Emmanuel Devred, Fisheries and Oceans Canada, Canada; Zhubin Zheng, Gannan Normal University, China</p></fn>
<fn fn-type="corresp" id="fn001"><p>&#x0002A;Correspondence: Pierre Gernez <email>pierre.gernez&#x00040;univ-nantes.fr</email></p></fn>
<fn fn-type="other" id="fn002"><p>This article was submitted to Ocean Observation, a section of the journal Frontiers in Marine Science</p></fn>
</author-notes>
<pub-date pub-type="epub">
<day>16</day>
<month>05</month>
<year>2017</year>
</pub-date>
<pub-date pub-type="collection">
<year>2017</year>
</pub-date>
<volume>4</volume>
<elocation-id>137</elocation-id>
<history>
<date date-type="received">
<day>15</day>
<month>01</month>
<year>2017</year>
</date>
<date date-type="accepted">
<day>25</day>
<month>04</month>
<year>2017</year>
</date>
</history>
<permissions>
<copyright-statement>Copyright &#x000A9; 2017 Gernez, Doxaran and Barill&#x000E9;.</copyright-statement>
<copyright-year>2017</copyright-year>
<copyright-holder>Gernez, Doxaran and Barill&#x000E9;</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) or licensor 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>The algorithms of Novoa et al. (<xref ref-type="bibr" rid="B37">2017</xref>) and Gons et al. (<xref ref-type="bibr" rid="B20">2005</xref>) were recalibrated and applied to Sentinel2 data to retrieve suspended particulate matter (SPM) and chlorophyll <italic>a</italic> (chl <italic>a</italic>) concentration in the environmentally and economically important intertidal zones. Sentinel2-derived chl <italic>a</italic> and SPM concentration distributions were analyzed at the scale of an oyster farm over a variety of tidal conditions. Sentinel2 imagery was then coupled with ecophysiological modeling to analyze the influence of tide-driven chl <italic>a</italic> and SPM dynamics on oyster clearance and chl consumption rates. Within the studied oyster farming site (Bourgneuf Bay along the French Atlantic coast), chl consumption rate mirrored the changes in chl <italic>a</italic> concentration during neap tides, whereas oyster clearance and chl consumption rates were both negatively impacted by high SPM concentration during spring tides.</p>
</abstract>
<kwd-group>
<kwd>Sentinel2</kwd>
<kwd>ocean color</kwd>
<kwd>chlorophyll</kwd>
<kwd>turbidity</kwd>
<kwd>oyster</kwd>
<kwd>aquaculture</kwd>
<kwd>microphytobenthos</kwd>
<kwd>mudflat</kwd>
</kwd-group>
<contract-num rid="cn001">PNTS-2015-07</contract-num>
<contract-num rid="cn002">ANR-12-AGRO-0001</contract-num>
<contract-num rid="cn003">606797</contract-num>
<contract-num rid="cn004">678396</contract-num>
<contract-sponsor id="cn001">Centre National de la Recherche Scientifique<named-content content-type="fundref-id">10.13039/501100004794</named-content></contract-sponsor>
<contract-sponsor id="cn002">Agence Nationale de la Recherche<named-content content-type="fundref-id">10.13039/501100004794</named-content></contract-sponsor>
<contract-sponsor id="cn003">Seventh Framework Programme<named-content content-type="fundref-id">10.13039/501100004963</named-content></contract-sponsor>
<contract-sponsor id="cn004">European Commission<named-content content-type="fundref-id">10.13039/501100000780</named-content></contract-sponsor>
<counts>
<fig-count count="10"/>
<table-count count="1"/>
<equation-count count="11"/>
<ref-count count="55"/>
<page-count count="15"/>
<word-count count="8361"/>
</counts>
</article-meta>
</front>
<body>
<sec sec-type="intro" id="s1">
<title>Introduction</title>
<p>One of the most striking features of the intertidal zone is the formation of microphytobenthos (MPB) biofilms at sediment surface during those low tides that occur in daylight (MacIntyre et al., <xref ref-type="bibr" rid="B31">1996</xref>; Paterson et al., <xref ref-type="bibr" rid="B39">1998</xref>; Jesus et al., <xref ref-type="bibr" rid="B24">2009</xref>). In many mudflat MPB biofilms are visible from space, and they have been studied using airborne and satellite remote sensing (M&#x000E9;l&#x000E9;der et al., <xref ref-type="bibr" rid="B33">2003</xref>; van der Wal et al., <xref ref-type="bibr" rid="B49">2010</xref>; Kazemipour et al., <xref ref-type="bibr" rid="B26">2012</xref>; Brito et al., <xref ref-type="bibr" rid="B8">2013</xref>). Although MPB main ecological functions are carried out when it is organized in the form of biofilms, benthic microalgae can also be resuspended into the water column together with other sedimentary particles throughout the tidal cycle (Koh et al., <xref ref-type="bibr" rid="B27">2006</xref>; Ubertini et al., <xref ref-type="bibr" rid="B47">2012</xref>). This can result in significant enrichment of nearshore waters with a high concentration of chlorophyll <italic>a</italic> (chl <italic>a</italic>) that becomes available food for suspension feeders such as the Pacific oyster <italic>Crassostrea gigas</italic> and other commercially and ecologically important bivalves (Kang et al., <xref ref-type="bibr" rid="B25">2006</xref>; Choy et al., <xref ref-type="bibr" rid="B10">2009</xref>). In coastal zones, despite the high contribution of tidal flats to primary production (Underwood and Kromkamp, <xref ref-type="bibr" rid="B48">1999</xref>), the spatial distribution and temporal dynamic of chl <italic>a</italic> concentration in intertidal waters has been little studied using ocean color remote sensing so far.</p>
<p>In the optically complex and very diverse coastal zone, separating the contribution of chl <italic>a</italic> from other colored constituents [namely particulate inorganic matter (PIM), and colored dissolved organic matter (CDOM)] in the water column is notoriously difficult due to the rapidly changing concentrations of CDOM and PIM coming from sediment resuspension, river plume, and land runoff (Blondeau-Patissier et al., <xref ref-type="bibr" rid="B6">2014</xref>). In turbid tidal flat and adjacent coastal areas, the main challenge arises from the difficulty to detect chl <italic>a</italic> from the high load of suspended particulate matter (SPM). In estuarine and nearshore waters, algorithms based on the analysis of the chl <italic>a</italic> absorption band in the near-infrared (NIR) spectral region around 675 nm were demonstrated to generally outperform other methods (Le et al., <xref ref-type="bibr" rid="B29">2013</xref>).</p>
<p>Due to its spectral characteristics (namely the red and NIR spectral bands at 665 and 705 nm), we hypothesize that the Multi Spectral Imager (MSI) onboard Sentinel2 has the potential to quantify chl <italic>a</italic> concentration in turbid waters, provided that these waters are exposed to resuspension of benthic microalgae. Besides its relevant spectral characteristics, Sentinel2 also offers the advantage of high spatial resolution (20 m), making it possible to observe narrow bays and estuaries where shellfish farms are usually located. The first objective of the present study is therefore to analyze the potential of Sentinel2 for shellfish aquaculture monitoring, and more specifically to test the retrieval of SPM and chl <italic>a</italic> concentration in a turbid oyster farming ecosystem. The second objective is to analyze the tide-driven influence of SPM and chl <italic>a</italic> variability on oyster ecological response at the scale of an oyster farm. For that purpose, and building on previous studies (Gernez et al., <xref ref-type="bibr" rid="B15">2014</xref>; Thomas et al., <xref ref-type="bibr" rid="B44">2016</xref>), Earth Observation (EO) and shellfish physiological modeling were interconnected in order to remotely quantify the influence of rapidly changing environmental conditions on oyster clearance and chl consumption rates.</p>
</sec>
<sec sec-type="materials and methods" id="s2">
<title>Materials and methods</title>
<sec>
<title>Study site</title>
<p>Bourgneuf Bay is a macrotidal bay along the French Atlantic coast, mostly constituted of mudflats, and widely used for shellfish aquaculture (oyster annual yield was 5,330 tons in 2010, Dessinges et al., <xref ref-type="bibr" rid="B13">2012</xref>). In the present study, a focus was made on a shellfish farming site located at the northern limit of the oyster aquaculture zone (Figures <xref ref-type="fig" rid="F1">1</xref>, <xref ref-type="fig" rid="F2">2</xref>). Due to tidal resuspension, SPM concentration seldom decreases below 50 g m<sup>&#x02212;3</sup> and regularly exceeds 500 g m<sup>&#x02212;3</sup>. As a too high SPM concentration impacts oyster clearance rate and other physiological functions (Barill&#x000E9; et al., <xref ref-type="bibr" rid="B3">1997</xref>), oysters grown in this farming site are negatively impacted by high SPM concentration (Gernez et al., <xref ref-type="bibr" rid="B15">2014</xref>). Daily mean chl <italic>a</italic> concentration was reported to vary between 4 and 14 mg m<sup>&#x02212;3</sup> (Dutertre et al., <xref ref-type="bibr" rid="B14">2009</xref>), and monthly means between 5 and 30 mg m<sup>&#x02212;3</sup> were previously reported at the study site (Barill&#x000E9;-Boyer et al., <xref ref-type="bibr" rid="B4">1997</xref>).</p>
<fig id="F1" position="float">
<label>Figure 1</label>
<caption><p><bold>Bourgneuf Bay on the French Atlantic coast</bold>. Intertidal zone, oyster farms, and sampling stations are shown in gray, black, and white symbols, respectively. The location of the rectangle corresponds to the oyster farm&#x00027;s region of interest (ROI).</p></caption>
<graphic xlink:href="fmars-04-00137-g0001.tif"/>
</fig>
<fig id="F2" position="float">
<label>Figure 2</label>
<caption><p><bold>Rayleigh-corrected Sentinel2 Red Blue Green (RGB) image of the oyster farming site during low tide the 30 September 2015 (A)</bold>, and during high tide the 15 March 2016 <bold>(B)</bold>. The mudflat is emerged during low tide, and the oyster tables are visible from above. During high tide, oyster tables are not visible due to the extremely high turbidity.</p></caption>
<graphic xlink:href="fmars-04-00137-g0002.tif"/>
</fig>
</sec>
<sec>
<title><italic>In situ</italic> data</title>
<p>Field data were acquired during two bio-optical cruises in Bourgneuf Bay from 08 to 12 April 2013 and from 12 to 13 April 2016 in the frame of the ANR GIGASSAT and FP7 HIGHROC projects, respectively. During both cruises, water sampling and radiometric measurements were performed following the same protocol. Sampling stations were located nearshore, mostly within the intertidal zone and in the vicinity of farming sites (Figure <xref ref-type="fig" rid="F1">1</xref>). Sampling took place at different times of the tidal cycle in order to acquire reflectance spectra over a wide range of SPM and chl <italic>a</italic> concentration. The same flat-bottomed barge was used during both cruises. This kind of vessel makes it possible to navigate throughout the shallow intertidal waters, even during low tide. Some stations were visited when the water depth was as low as 0.5 m. The bottom was never visible from above surface, even at the shallowest station due to the extremely high turbidity.</p>
<sec>
<title>Radiometric data</title>
<p>Above-water radiometric measurements were conducted following standard protocols (Mueller et al., <xref ref-type="bibr" rid="B35">2000</xref>) to determine the spectral water-leaving radiance reflectance (also commonly referred as the marine reflectance), &#x003C1;<sub><italic>w</italic></sub>(&#x003BB;), defined as:
<disp-formula id="E1"><label>(1)</label><mml:math id="M1"><mml:mtable class="eqnarray" columnalign="right center left"><mml:mtr><mml:mtd><mml:msub><mml:mrow><mml:mi>&#x003C1;</mml:mi></mml:mrow><mml:mrow><mml:mi>w</mml:mi></mml:mrow></mml:msub><mml:mrow><mml:mo stretchy="false">(</mml:mo><mml:mrow><mml:mi>&#x003BB;</mml:mi></mml:mrow><mml:mo stretchy="false">)</mml:mo></mml:mrow><mml:mo>=</mml:mo><mml:mi>&#x003C0;</mml:mi><mml:mrow><mml:mo>[</mml:mo><mml:mrow><mml:msub><mml:mrow><mml:mi>L</mml:mi></mml:mrow><mml:mrow><mml:mi>u</mml:mi></mml:mrow></mml:msub><mml:mtext>&#x000A0;</mml:mtext><mml:mrow><mml:mo stretchy="false">(</mml:mo><mml:mrow><mml:mi>&#x003BB;</mml:mi></mml:mrow><mml:mo stretchy="false">)</mml:mo></mml:mrow><mml:mo>-</mml:mo><mml:msub><mml:mrow><mml:mi>&#x003C1;</mml:mi></mml:mrow><mml:mrow><mml:mi>s</mml:mi><mml:mi>k</mml:mi><mml:mi>y</mml:mi></mml:mrow></mml:msub><mml:mtext>&#x000A0;</mml:mtext><mml:msub><mml:mrow><mml:mi>L</mml:mi></mml:mrow><mml:mrow><mml:mi>s</mml:mi><mml:mi>k</mml:mi><mml:mi>y</mml:mi></mml:mrow></mml:msub><mml:mrow><mml:mo stretchy="false">(</mml:mo><mml:mrow><mml:mi>&#x003BB;</mml:mi></mml:mrow><mml:mo stretchy="false">)</mml:mo></mml:mrow></mml:mrow><mml:mo>]</mml:mo></mml:mrow><mml:mo>/</mml:mo><mml:msub><mml:mrow><mml:mi>E</mml:mi></mml:mrow><mml:mrow><mml:mi>d</mml:mi></mml:mrow></mml:msub><mml:mrow><mml:mo stretchy="false">(</mml:mo><mml:mrow><mml:mi>&#x003BB;</mml:mi></mml:mrow><mml:mo stretchy="false">)</mml:mo></mml:mrow></mml:mtd></mml:mtr></mml:mtable></mml:math></disp-formula>
where <italic>L</italic><sub><italic>u</italic></sub> (&#x003BB;) is the upwelling radiance from the water and air-sea interface measured at a zenith angle of about 37&#x000B0;, <italic>L</italic><sub><italic>sky</italic></sub>(&#x003BB;) is the sky radiance, &#x003C1;<sub><italic>sky</italic></sub> is the air-water radiance reflection coefficient, <italic>E</italic><sub><italic>d</italic></sub>(&#x003BB;) is the above-water downwelling irradiance, and &#x003BB; is the wavelength. The barge was oriented away from the sun to avoid shadowing effects. Radiance sensors were pointed at a solar azimuth angle between 90 and 135&#x000B0;. The radiometric data were acquired simultaneously during about 5 min of stable sky conditions using three TriOS radiometers, two measuring the radiance signal and one measuring the downwelling irradiance.</p>
<p>A thorough quality control was made and only clear sky data were selected. Wave height was &#x0003C;0.5 m and wind speed was &#x0003C;5.0 m s<sup>&#x02212;1</sup> during both cruises. The &#x003C1;<sub><italic>sky</italic></sub> coefficient was taken as 0.02 following Austin (<xref ref-type="bibr" rid="B1">1974</xref>). The TriOS data were averaged over the time span of the measurement, smoothed over a 10 nm moving-window, cut within 400 and 900 nm (Figure <xref ref-type="fig" rid="F3">3A</xref>), and then spectrally downgraded at the resolution of the MSI onboard Sentinel2 using the spectral response function provided by the European Space Agency (Figure <xref ref-type="fig" rid="F3">3B</xref>).</p>
<fig id="F3" position="float">
<label>Figure 3</label>
<caption><p><bold><italic><bold>In situ</bold></italic> marine reflectance &#x003C1;<sub><italic><bold>w</bold></italic></sub>(&#x003BB;) at TriOS (A)</bold>, and Sentinel2 <bold>(B)</bold> spectral resolution.</p></caption>
<graphic xlink:href="fmars-04-00137-g0003.tif"/>
</fig>
</sec>
<sec>
<title>Seawater samples</title>
<p>Seawater samples were collected just below the surface concomitantly with radiometric measurements. Seawater samples were stored in 1 l bottles until they were filtered in the laboratory in the evening. The turbidity, T (in Formazin Nephelometric Unit, FNU), of each water sample was determined in triplicate using a 2100Q portable turbidimeter (Hach Company, Loveland, CO, USA) in order to optimize the volume of filtered seawater as in Neukermans et al. (<xref ref-type="bibr" rid="B36">2012</xref>). SPM, defined as the dry mass of particles per unit volume of seawater, was then determined using a standard gravimetric technique. Measured volumes of seawater (between 10 and 200 ml depending of the turbidity of the sample) were filtered through 25 mm diameter preweighed Whatman GF/F glass-fiber filters. At the end of filtration, sample filters were rinsed with deionized water to remove sea salt. The filters were frozen and shipped at the Laboratoire d&#x00027;Oc&#x000E9;anographie de Villefranche (LOV). The dry mass of particles collected on the filter was then measured with a MT5 microbalance (Mettler-Toledo Intl. Inc.) with a resolution of 0.001 mg. A significant relationship between SPM and T was obtained (<italic>p</italic> &#x0003C; 0.01).</p>
<p>Depending on the turbidity, between 10 and 300 ml of seawater was also filtered through 25 mm GF/F filters for high performance liquid chromatography (HPLC) pigment analysis. The filters were frozen in liquid nitrogen and shipped for analysis at LOV, where HPLC analysis was performed according to Ras et al. (<xref ref-type="bibr" rid="B40">2008</xref>). The total chlorophyll <italic>a</italic> (chl <italic>a</italic>) concentration was computed as the sum of the &#x0201C;true&#x0201D; chlorophyll <italic>a</italic>, divinyl-chlorophyll <italic>a</italic>, and chlorophyllide <italic>a</italic>.</p>
</sec>
</sec>
<sec>
<title>Bio-optical algorithms</title>
<sec>
<title>Chlorophyll <italic>a</italic> algorithm</title>
<p>Several algorithms are available for Sentinel2/MSI (Beck et al., <xref ref-type="bibr" rid="B5">2016</xref>; Toming et al., <xref ref-type="bibr" rid="B46">2016</xref>) to retrieve chl <italic>a</italic> concentration from &#x003C1;<sub><italic>w</italic></sub>(&#x003BB;) in coastal waters. For our study site, an intercomparison exercise based on <italic>in situ</italic> measurements demonstrates that the chlorophyll-retrieval algorithm of Gons et al. (<xref ref-type="bibr" rid="B20">2005</xref>) provided the most satisfactory results (see <xref ref-type="supplementary-material" rid="SM1">Supplementary Information</xref> for more details). This algorithm was originally developed for the Medium Resolution Imaging Spectrometer (MERIS) using the bands at 665, 705, and 775 nm (Gons, <xref ref-type="bibr" rid="B18">1999</xref>; Gons et al., <xref ref-type="bibr" rid="B19">2002</xref>, <xref ref-type="bibr" rid="B20">2005</xref>). It was applied here to Sentinel2/MSI using bands B4 (665 nm), B5 (705 nm), and B7 (783 nm). Due to the shift from 775 to 783 nm, a recalibration has been performed to update the algorithm to Sentinel2/MSI. The chlorophyll-retrieval is done in three steps. First, the backscattering coefficient (<italic>b</italic><sub><italic>b</italic></sub>) is estimated from &#x003C1;<sub><italic>w</italic></sub> at 783 nm:
<disp-formula id="E2"><label>(2a)</label><mml:math id="M2"><mml:mtable class="eqnarray" columnalign="right center left"><mml:mtr><mml:mtd><mml:msub><mml:mrow><mml:mi>b</mml:mi></mml:mrow><mml:mrow><mml:mi>b</mml:mi></mml:mrow></mml:msub><mml:mrow><mml:mo stretchy="false">(</mml:mo><mml:mrow><mml:mn>783</mml:mn></mml:mrow><mml:mo stretchy="false">)</mml:mo></mml:mrow><mml:mtext>&#x000A0;</mml:mtext><mml:mo>=</mml:mo><mml:mtext>&#x000A0;</mml:mtext><mml:mn>1</mml:mn><mml:mo>.</mml:mo><mml:mn>56</mml:mn><mml:mtext>&#x000A0;</mml:mtext><mml:msub><mml:mrow><mml:mi>&#x003C1;</mml:mi></mml:mrow><mml:mrow><mml:mi>w</mml:mi></mml:mrow></mml:msub><mml:mrow><mml:mo stretchy="false">(</mml:mo><mml:mrow><mml:mn>783</mml:mn></mml:mrow><mml:mo stretchy="false">)</mml:mo></mml:mrow><mml:mo>/</mml:mo><mml:mrow><mml:mo>[</mml:mo><mml:mrow><mml:mn>0</mml:mn><mml:mo>.</mml:mo><mml:mn>082</mml:mn><mml:mo>-</mml:mo><mml:mn>0</mml:mn><mml:mo>.</mml:mo><mml:mn>6</mml:mn><mml:mtext>&#x000A0;</mml:mtext><mml:msub><mml:mrow><mml:mi>&#x003C1;</mml:mi></mml:mrow><mml:mrow><mml:mi>w</mml:mi></mml:mrow></mml:msub><mml:mrow><mml:mo stretchy="false">(</mml:mo><mml:mrow><mml:mn>783</mml:mn></mml:mrow><mml:mo stretchy="false">)</mml:mo></mml:mrow></mml:mrow><mml:mo>]</mml:mo></mml:mrow></mml:mtd></mml:mtr></mml:mtable></mml:math></disp-formula>
Note that Equation (2a) is specific to Sentinel2/MSI, and replaces the original equation for MERIS:
<disp-formula id="E3"><label>(2b)</label><mml:math id="M3"><mml:mtable class="eqnarray" columnalign="right center left"><mml:mtr><mml:mtd><mml:msub><mml:mrow><mml:mi>b</mml:mi></mml:mrow><mml:mrow><mml:mi>b</mml:mi></mml:mrow></mml:msub><mml:mrow><mml:mo stretchy="false">(</mml:mo><mml:mrow><mml:mn>775</mml:mn></mml:mrow><mml:mo stretchy="false">)</mml:mo></mml:mrow><mml:mtext>&#x000A0;</mml:mtext><mml:mo>=</mml:mo><mml:mtext>&#x000A0;</mml:mtext><mml:mn>1</mml:mn><mml:mo>.</mml:mo><mml:mn>61</mml:mn><mml:mtext>&#x000A0;</mml:mtext><mml:msub><mml:mrow><mml:mi>&#x003C1;</mml:mi></mml:mrow><mml:mrow><mml:mi>w</mml:mi></mml:mrow></mml:msub><mml:mrow><mml:mo stretchy="false">(</mml:mo><mml:mrow><mml:mn>775</mml:mn></mml:mrow><mml:mo stretchy="false">)</mml:mo></mml:mrow><mml:mo>/</mml:mo><mml:mrow><mml:mo>[</mml:mo><mml:mrow><mml:mn>0</mml:mn><mml:mo>.</mml:mo><mml:mn>082</mml:mn><mml:mo>-</mml:mo><mml:mn>0</mml:mn><mml:mo>.</mml:mo><mml:mn>6</mml:mn><mml:mtext>&#x000A0;</mml:mtext><mml:msub><mml:mrow><mml:mi>&#x003C1;</mml:mi></mml:mrow><mml:mrow><mml:mi>w</mml:mi></mml:mrow></mml:msub><mml:mrow><mml:mo stretchy="false">(</mml:mo><mml:mrow><mml:mn>775</mml:mn></mml:mrow><mml:mo stretchy="false">)</mml:mo></mml:mrow></mml:mrow><mml:mo>]</mml:mo></mml:mrow></mml:mtd></mml:mtr></mml:mtable></mml:math></disp-formula>
Second, the phytoplankton absorption at 665 nm is retrieved from a NIR/red band ratio:
<disp-formula id="E4"><label>(3)</label><mml:math id="M4"><mml:mtable class="eqnarray" columnalign="right center left"><mml:mtr><mml:mtd><mml:msub><mml:mrow><mml:mi>a</mml:mi></mml:mrow><mml:mrow><mml:mi>p</mml:mi><mml:mi>h</mml:mi><mml:mi>y</mml:mi></mml:mrow></mml:msub><mml:mrow><mml:mo stretchy="false">(</mml:mo><mml:mrow><mml:mn>665</mml:mn></mml:mrow><mml:mo stretchy="false">)</mml:mo></mml:mrow><mml:mtext>&#x000A0;</mml:mtext><mml:mo>=</mml:mo><mml:mtext>&#x000A0;</mml:mtext><mml:mrow><mml:mo stretchy="false">(</mml:mo><mml:mrow><mml:mn>0</mml:mn><mml:mo>.</mml:mo><mml:mn>70</mml:mn><mml:mo>&#x0002B;</mml:mo><mml:msub><mml:mrow><mml:mi>b</mml:mi></mml:mrow><mml:mrow><mml:mi>b</mml:mi></mml:mrow></mml:msub></mml:mrow><mml:mo stretchy="false">)</mml:mo></mml:mrow><mml:msub><mml:mrow><mml:mi>&#x003C1;</mml:mi></mml:mrow><mml:mrow><mml:mi>w</mml:mi></mml:mrow></mml:msub><mml:mrow><mml:mo stretchy="false">(</mml:mo><mml:mrow><mml:mn>705</mml:mn></mml:mrow><mml:mo stretchy="false">)</mml:mo></mml:mrow><mml:mo>/</mml:mo><mml:msub><mml:mrow><mml:mi>&#x003C1;</mml:mi></mml:mrow><mml:mrow><mml:mi>w</mml:mi></mml:mrow></mml:msub><mml:mrow><mml:mo stretchy="false">(</mml:mo><mml:mrow><mml:mn>665</mml:mn></mml:mrow><mml:mo stretchy="false">)</mml:mo></mml:mrow><mml:mo>-</mml:mo><mml:mn>0</mml:mn><mml:mo>.</mml:mo><mml:mn>40</mml:mn><mml:mo>-</mml:mo><mml:msubsup><mml:mrow><mml:mi>b</mml:mi></mml:mrow><mml:mrow><mml:mi>b</mml:mi></mml:mrow><mml:mrow><mml:mi>p</mml:mi></mml:mrow></mml:msubsup></mml:mtd></mml:mtr></mml:mtable></mml:math></disp-formula>
where <italic>p</italic> is a unitless tuning parameter. Third, chl <italic>a</italic> concentration is computed by division with the chlorophyll-specific absorption coefficient at 665 nm, <inline-formula><mml:math id="M5"><mml:msubsup><mml:mrow><mml:mi>a</mml:mi></mml:mrow><mml:mrow><mml:mi>p</mml:mi><mml:mi>h</mml:mi><mml:mi>y</mml:mi></mml:mrow><mml:mrow><mml:mo>*</mml:mo></mml:mrow></mml:msubsup></mml:math></inline-formula>(665):
<disp-formula id="E5"><label>(4)</label><mml:math id="M6"><mml:mtable class="eqnarray" columnalign="right center left"><mml:mtr><mml:mtd><mml:mrow><mml:mo>[</mml:mo><mml:mrow><mml:mtext>chl&#x000A0;</mml:mtext><mml:mi>a</mml:mi></mml:mrow><mml:mo>]</mml:mo></mml:mrow><mml:mtext>&#x000A0;</mml:mtext><mml:mo>=</mml:mo><mml:mtext>&#x000A0;</mml:mtext><mml:msub><mml:mrow><mml:mi>a</mml:mi></mml:mrow><mml:mrow><mml:mi>p</mml:mi><mml:mi>h</mml:mi><mml:mi>y</mml:mi></mml:mrow></mml:msub><mml:mrow><mml:mo stretchy="false">(</mml:mo><mml:mrow><mml:mn>665</mml:mn></mml:mrow><mml:mo stretchy="false">)</mml:mo></mml:mrow><mml:mo>/</mml:mo><mml:msubsup><mml:mrow><mml:mi>a</mml:mi></mml:mrow><mml:mrow><mml:mi>p</mml:mi><mml:mi>h</mml:mi><mml:mi>y</mml:mi></mml:mrow><mml:mrow><mml:mo>*</mml:mo></mml:mrow></mml:msubsup><mml:mrow><mml:mo stretchy="false">(</mml:mo><mml:mrow><mml:mn>665</mml:mn></mml:mrow><mml:mo stretchy="false">)</mml:mo></mml:mrow></mml:mtd></mml:mtr></mml:mtable></mml:math></disp-formula>
It is assumed in Equation (3) that <italic>b</italic><sub><italic>b</italic></sub>(&#x003BB;) is spectrally neutral between 665 and 783 nm, and that at 665 nm the absorption by chlorophyll <italic>a</italic> and by pure seawater is much higher than the absorption by mineral particles and CDOM.</p>
<p>The parameters <inline-formula><mml:math id="M7"><mml:msubsup><mml:mrow><mml:mi>a</mml:mi></mml:mrow><mml:mrow><mml:mi>p</mml:mi><mml:mi>h</mml:mi><mml:mi>y</mml:mi></mml:mrow><mml:mrow><mml:mo>*</mml:mo></mml:mrow></mml:msubsup></mml:math></inline-formula>(665) and <italic>p</italic> were initially estimated using a large dataset of field measurements from diverse inland, estuarine and coastal waters (Gons, <xref ref-type="bibr" rid="B18">1999</xref>; Gons et al., <xref ref-type="bibr" rid="B19">2002</xref>, <xref ref-type="bibr" rid="B20">2005</xref>). For our study site in Bourgneuf Bay, <inline-formula><mml:math id="M8"><mml:msubsup><mml:mrow><mml:mi>a</mml:mi></mml:mrow><mml:mrow><mml:mi>p</mml:mi><mml:mi>h</mml:mi><mml:mi>y</mml:mi></mml:mrow><mml:mrow><mml:mo>*</mml:mo></mml:mrow></mml:msubsup></mml:math></inline-formula>(665) was recalibrated to 0.133 m<sup>2</sup> (mg chl <italic>a</italic>)<sup>&#x02212;1</sup> (standard error is 0.002 m<sup>2</sup> (mg chl <italic>a</italic>)<sup>&#x02212;1</sup>) and <italic>p</italic> to 1.02. The recalibration was done using a fitting procedure based on a root mean square error minimization (Figure <xref ref-type="fig" rid="F4">4</xref>).</p>
<fig id="F4" position="float">
<label>Figure 4</label>
<caption><p><bold>(A)</bold> Linear regression between the measured and simulated chlorophyll <italic>a</italic> concentration, obtained from <italic>in situ</italic> measurements. The thick line shows the fit between 4 and 52.5 mg m<sup>&#x02212;3</sup>. The fit was used to calibrate the Gons et al. (<xref ref-type="bibr" rid="B20">2005</xref>) algorithm. <bold>(B)</bold> Linear regression between the measured and simulated suspended particulate matter concentration, obtained from <italic>in situ</italic> measurements. The thick line shows the fit between 10 and 700 g m<sup>&#x02212;3</sup>. The fit was used to calibrate the Novoa et al. (<xref ref-type="bibr" rid="B37">2017</xref>) algorithm.</p></caption>
<graphic xlink:href="fmars-04-00137-g0004.tif"/>
</fig>
</sec>
<sec>
<title>SPM algorithm</title>
<p>The SPM concentration was computed using a multi-conditional algorithm previously developed for Bourgneuf Bay and the Loire estuary (Novoa et al., <xref ref-type="bibr" rid="B37">2017</xref>). This algorithm has been validated for the Operational Land Imager (OLI) onboard Landsat8 (Novoa et al., <xref ref-type="bibr" rid="B37">2017</xref>). A spectral recalibration has been performed here so that the algorithm could be applied to Sentinel2/MSI using bands B4 (665 nm) and B8A (865 nm). The algorithm is based on a switching method that automatically selects the most relevant SPM vs. &#x003C1;<sub><italic>w</italic></sub> relationship to avoid saturation effects at high turbidity. The final SPM concentration is computed as a dynamic combination of SPM retrievals in the red and NIR bands:
<disp-formula id="E6"><label>(5)</label><mml:math id="M9"><mml:mtable class="eqnarray" columnalign="right center left"><mml:mtr><mml:mtd><mml:mrow><mml:mo>[</mml:mo><mml:mrow><mml:mtext>SPM</mml:mtext></mml:mrow><mml:mo>]</mml:mo></mml:mrow><mml:mo>=</mml:mo><mml:mi>&#x003B1;</mml:mi><mml:msub><mml:mrow><mml:mrow><mml:mo>[</mml:mo><mml:mrow><mml:mtext>SPM</mml:mtext></mml:mrow><mml:mo>]</mml:mo></mml:mrow></mml:mrow><mml:mrow><mml:mtext>red</mml:mtext></mml:mrow></mml:msub><mml:mo>&#x0002B;</mml:mo><mml:mi>&#x003B2;</mml:mi><mml:msub><mml:mrow><mml:mrow><mml:mo>[</mml:mo><mml:mrow><mml:mtext>SPM</mml:mtext></mml:mrow><mml:mo>]</mml:mo></mml:mrow></mml:mrow><mml:mrow><mml:mtext>NIR</mml:mtext></mml:mrow></mml:msub></mml:mtd></mml:mtr></mml:mtable></mml:math></disp-formula>
where [SPM]<sub>red</sub>, [SPM]<sub>NIR</sub>, &#x003B1;, and &#x003B2; are defined as:
<disp-formula id="E7"><label>(6)</label><mml:math id="M10"><mml:mtable class="eqnarray" columnalign="right center left"><mml:mtr><mml:mtd><mml:msub><mml:mrow><mml:mrow><mml:mo>[</mml:mo><mml:mrow><mml:mtext>SPM</mml:mtext></mml:mrow><mml:mo>]</mml:mo></mml:mrow></mml:mrow><mml:mrow><mml:mtext>red</mml:mtext></mml:mrow></mml:msub></mml:mtd><mml:mtd><mml:mo>=</mml:mo></mml:mtd><mml:mtd><mml:mn>297</mml:mn><mml:msub><mml:mrow><mml:mi>&#x003C1;</mml:mi></mml:mrow><mml:mrow><mml:mi>w</mml:mi></mml:mrow></mml:msub><mml:mrow><mml:mo stretchy="false">(</mml:mo><mml:mrow><mml:mn>665</mml:mn></mml:mrow><mml:mo stretchy="false">)</mml:mo></mml:mrow><mml:mtext>&#x000A0;</mml:mtext><mml:mo>/</mml:mo><mml:mtext>&#x000A0;</mml:mtext><mml:mrow><mml:mo>[</mml:mo><mml:mrow><mml:mn>1</mml:mn><mml:mo>-</mml:mo><mml:msub><mml:mrow><mml:mi>&#x003C1;</mml:mi></mml:mrow><mml:mrow><mml:mi>w</mml:mi></mml:mrow></mml:msub><mml:mrow><mml:mo stretchy="false">(</mml:mo><mml:mrow><mml:mn>665</mml:mn></mml:mrow><mml:mo stretchy="false">)</mml:mo></mml:mrow><mml:mo>/</mml:mo><mml:mn>0</mml:mn><mml:mo>.</mml:mo><mml:mn>1238</mml:mn></mml:mrow><mml:mo>]</mml:mo></mml:mrow></mml:mtd></mml:mtr></mml:mtable></mml:math></disp-formula>
<disp-formula id="E8"><label>(7)</label><mml:math id="M11"><mml:mtable class="eqnarray" columnalign="right center left"><mml:mtr><mml:mtd><mml:msub><mml:mrow><mml:mrow><mml:mo>[</mml:mo><mml:mrow><mml:mtext>SPM</mml:mtext></mml:mrow><mml:mo>]</mml:mo></mml:mrow></mml:mrow><mml:mrow><mml:mtext>NIR</mml:mtext></mml:mrow></mml:msub></mml:mtd><mml:mtd><mml:mo>=</mml:mo></mml:mtd><mml:mtd><mml:mn>4302</mml:mn><mml:msub><mml:mrow><mml:mi>&#x003C1;</mml:mi></mml:mrow><mml:mrow><mml:mi>w</mml:mi></mml:mrow></mml:msub><mml:mrow><mml:mo stretchy="false">(</mml:mo><mml:mrow><mml:mn>865</mml:mn></mml:mrow><mml:mo stretchy="false">)</mml:mo></mml:mrow><mml:mtext>&#x000A0;</mml:mtext><mml:mo>/</mml:mo><mml:mtext>&#x000A0;</mml:mtext><mml:mrow><mml:mo>[</mml:mo><mml:mrow><mml:mn>1</mml:mn><mml:mo>-</mml:mo><mml:msub><mml:mrow><mml:mi>&#x003C1;</mml:mi></mml:mrow><mml:mrow><mml:mi>w</mml:mi></mml:mrow></mml:msub><mml:mrow><mml:mo stretchy="false">(</mml:mo><mml:mrow><mml:mn>865</mml:mn></mml:mrow><mml:mo stretchy="false">)</mml:mo></mml:mrow><mml:mo>/</mml:mo><mml:mn>0</mml:mn><mml:mo>.</mml:mo><mml:mn>2115</mml:mn></mml:mrow><mml:mo>]</mml:mo></mml:mrow></mml:mtd></mml:mtr></mml:mtable></mml:math></disp-formula>
<disp-formula id="E9"><label>(8)</label><mml:math id="M12"><mml:mtable class="eqnarray" columnalign="right center left"><mml:mtr><mml:mtd><mml:mi>&#x003B1;</mml:mi></mml:mtd><mml:mtd><mml:mo>=</mml:mo></mml:mtd><mml:mtd><mml:mtext>log</mml:mtext><mml:mrow><mml:mo>[</mml:mo><mml:mrow><mml:mn>0</mml:mn><mml:mo>.</mml:mo><mml:mn>090</mml:mn><mml:mo>/</mml:mo><mml:msub><mml:mrow><mml:mi>&#x003C1;</mml:mi></mml:mrow><mml:mrow><mml:mi>w</mml:mi></mml:mrow></mml:msub><mml:mrow><mml:mo stretchy="false">(</mml:mo><mml:mrow><mml:mn>665</mml:mn></mml:mrow><mml:mo stretchy="false">)</mml:mo></mml:mrow></mml:mrow><mml:mo>]</mml:mo></mml:mrow><mml:mtext>&#x000A0;</mml:mtext><mml:mo>/</mml:mo><mml:mtext>&#x000A0;log</mml:mtext><mml:mrow><mml:mo stretchy="false">(</mml:mo><mml:mrow><mml:mn>0</mml:mn><mml:mo>.</mml:mo><mml:mn>090</mml:mn><mml:mo>/</mml:mo><mml:mn>0</mml:mn><mml:mo>.</mml:mo><mml:mn>046</mml:mn></mml:mrow><mml:mo stretchy="false">)</mml:mo></mml:mrow></mml:mtd></mml:mtr></mml:mtable></mml:math></disp-formula>
<disp-formula id="E10"><label>(9)</label><mml:math id="M13"><mml:mtable class="eqnarray" columnalign="right center left"><mml:mtr><mml:mtd><mml:mi>&#x003B2;</mml:mi></mml:mtd><mml:mtd><mml:mo>=</mml:mo></mml:mtd><mml:mtd><mml:mtext>log</mml:mtext><mml:mrow><mml:mo>[</mml:mo><mml:mrow><mml:msub><mml:mrow><mml:mi>&#x003C1;</mml:mi></mml:mrow><mml:mrow><mml:mi>w</mml:mi></mml:mrow></mml:msub><mml:mrow><mml:mo stretchy="false">(</mml:mo><mml:mrow><mml:mn>665</mml:mn></mml:mrow><mml:mo stretchy="false">)</mml:mo></mml:mrow><mml:mo>/</mml:mo><mml:mn>0</mml:mn><mml:mo>.</mml:mo><mml:mn>046</mml:mn></mml:mrow><mml:mo>]</mml:mo></mml:mrow><mml:mtext>&#x000A0;</mml:mtext><mml:mo>/</mml:mo><mml:mtext>&#x000A0;log</mml:mtext><mml:mrow><mml:mo stretchy="false">(</mml:mo><mml:mrow><mml:mn>0</mml:mn><mml:mo>.</mml:mo><mml:mn>090</mml:mn><mml:mo>/</mml:mo><mml:mn>0</mml:mn><mml:mo>.</mml:mo><mml:mn>046</mml:mn></mml:mrow><mml:mo stretchy="false">)</mml:mo></mml:mrow></mml:mtd></mml:mtr></mml:mtable></mml:math></disp-formula>
Due to the shift from 655 nm (Landsat8/OLI) to 665 nm (Sentinel2/MSI) the coefficients used in Equation 6 were recalibrated for Sentinel2/MSI using a fitting procedure based on a root mean square error minimization (Figure <xref ref-type="fig" rid="F4">4</xref>). The coefficients used in Equations (7&#x02013;9) are the initial values computed by Novoa et al. (<xref ref-type="bibr" rid="B37">2017</xref>).</p>
</sec>
</sec>
<sec>
<title>Satellite data and processing</title>
<sec>
<title>Atmospheric correction</title>
<p>Ortho-rectified, geo-located, and radiometrically calibrated top-of-atmosphere (TOA) reflectance Sentinel2 images were downloaded in the SAFE format from the US Geological Survey web portal (<ext-link ext-link-type="uri" xlink:href="https://earthexplorer.usgs.gov">https://earthexplorer.usgs.gov</ext-link>). A single scene can contain multiple granules (sub-tiles), but the USGS web portal makes it possible to directly download Sentinel2 data at granule level, thus reducing downloading and processing time. Sentinel2 TOA data was processed using the ACOLITE software (<ext-link ext-link-type="uri" xlink:href="http://odnature.naturalsciences.be/remsem/software-and-data/acolite">http://odnature.naturalsciences.be/remsem/software-and-data/acolite</ext-link>) to derive the water-leaving radiance. This software proposes two options for the atmospheric correction (AC): (i) the NIR algorithm based on the assumption of spatial homogeneity of the red/NIR ratio for aerosol and marine reflectance (Ruddick et al., <xref ref-type="bibr" rid="B42">2000</xref>; Vanhellemont and Ruddick, <xref ref-type="bibr" rid="B51">2014</xref>) using Sentinel2 spectral bands at 665 and 865 nm, (ii) and the SWIR algorithm based on the assumption of zero water-leaving reflectance in the SWIR, using Sentinel2 spectral bands at 1,610 and 2,190 nm (Vanhellemont and Ruddick, <xref ref-type="bibr" rid="B52">2015</xref>, <xref ref-type="bibr" rid="B53">2016</xref>). ACOLITE establishes a per-tile aerosol type (or epsilon) as the ratio between the Rayleigh corrected reflectance in the two aerosol correction bands, for pixels where the marine reflectance can be assumed to be zero (i.e., where &#x003C1;<sub><italic>w</italic></sub>(665 nm) &#x0003C;0.005, as defined by Vanhellemont and Ruddick, <xref ref-type="bibr" rid="B51">2014</xref>). The epsilon is then used to extrapolate the observed aerosol reflectance to the NIR and visible bands. For the SWIR algorithm, ACOLITE also provides a choice for aerosol correction using a fixed epsilon over the region of interest (ROI), or a per pixel variable epsilon.</p>
<p>As the NIR AC option is not adapted to turbid waters (Vanhellemont and Ruddick, <xref ref-type="bibr" rid="B52">2015</xref>), we used here the SWIR AC option with a fixed epsilon over the ROI, as recommended by several authors (Van der Zande et al., <xref ref-type="bibr" rid="B50">2016</xref>; Novoa et al., <xref ref-type="bibr" rid="B37">2017</xref>; Tristan Harmel, personal communication). The ROI was taken as Bourgneuf Bay and the Loire estuary (i.e., longitude from &#x02212;2.35 to &#x02212;1.95&#x000B0;E, and latitude from 46.85 to 47.35&#x000B0;N). The atmospheric correction is then performed in two steps: (i) a Rayleigh correction for scattering by air molecules using a look-up table generated using 6SV (Vermote et al., <xref ref-type="bibr" rid="B54">2006</xref>), and (ii) an aerosol correction based on the assumption of black water reflectance in the SWIR bands due to the extremely high pure-water absorption, and an exponential spectrum for multiple scattering aerosol reflectance. Due to the low signal in the SWIR wavelengths, a spatial smoothing filtering for these bands was performed (Vanhellemont and Ruddick, <xref ref-type="bibr" rid="B53">2016</xref>)</p>
<p>The final output of ACOLITE software is the &#x003C1;<sub><italic>w</italic></sub>(&#x003BB;) data in Network Common Data Form (NetCDF). SPM and chl <italic>a</italic> concentrations were then computed from &#x003C1;<sub><italic>w</italic></sub>(&#x003BB;) using the R project for statistical computing (R Development Core Team, <xref ref-type="bibr" rid="B41">2008</xref>).</p>
</sec>
<sec>
<title>Selection, clustering, and sorting of satellite data</title>
<p>In intertidal waters, the spatio-temporal distribution of in-water suspended constituents is mainly driven by tidal dynamics. A total of 12 clear sky images was selected in order to observe the oyster farming site over a variety of seasonal, hydrological, and tidal conditions (Table <xref ref-type="table" rid="T1">1</xref>). The time difference between satellite observation and low tide varied from &#x0003C;1 h to more than 5 h, thus providing a set of images acquired from low to high tide. The water height at the nearest reference harbor varied between 0.93 and 4.43 m, and the oyster farming site was observed over a variety of tidal configurations, from almost full emersion to complete submersion.</p>
<table-wrap position="float" id="T1">
<label>Table 1</label>
<caption><p><bold>Sentinel2 data used in the present study</bold>.</p></caption>
<table frame="hsides" rules="groups">
<thead>
<tr>
<th valign="top" align="left"><bold>Date</bold></th>
<th valign="top" align="center"><bold>Time</bold></th>
<th valign="top" align="center"><bold>Water height (m)</bold></th>
<th valign="top" align="center"><bold>Time of low tide</bold></th>
<th valign="top" align="center"><bold>Tidal range (m)</bold></th>
<th valign="top" align="center"><bold>Tide type</bold></th>
</tr>
</thead>
<tbody>
<tr>
<td valign="top" align="left">20150729</td>
<td valign="top" align="center">11:06</td>
<td valign="top" align="center">3.65</td>
<td valign="top" align="center">08:03</td>
<td valign="top" align="center">3.81</td>
<td valign="top" align="left">Neap</td>
</tr>
<tr>
<td valign="top" align="left">20150801</td>
<td valign="top" align="center">11:16</td>
<td valign="top" align="center">0.93</td>
<td valign="top" align="center">10:22</td>
<td valign="top" align="center">5.49</td>
<td valign="top" align="left">Spring</td>
</tr>
<tr>
<td valign="top" align="left">20150821</td>
<td valign="top" align="center">11:16</td>
<td valign="top" align="center">3.30</td>
<td valign="top" align="center">13:50</td>
<td valign="top" align="center">2.97</td>
<td valign="top" align="left">Neap</td>
</tr>
<tr>
<td valign="top" align="left">20150910</td>
<td valign="top" align="center">11:16</td>
<td valign="top" align="center">3.88</td>
<td valign="top" align="center">14:13</td>
<td valign="top" align="center">3.48</td>
<td valign="top" align="left">Neap</td>
</tr>
<tr>
<td valign="top" align="left">20160315</td>
<td valign="top" align="center">11:01</td>
<td valign="top" align="center">4.43</td>
<td valign="top" align="center">14:58</td>
<td valign="top" align="center">3.31</td>
<td valign="top" align="left">Neap</td>
</tr>
<tr>
<td valign="top" align="left">20160318</td>
<td valign="top" align="center">11:15</td>
<td valign="top" align="center">4.31</td>
<td valign="top" align="center">06:06</td>
<td valign="top" align="center">2.75</td>
<td valign="top" align="left">Neap</td>
</tr>
<tr>
<td valign="top" align="left">20160407</td>
<td valign="top" align="center">11:12</td>
<td valign="top" align="center">1.28</td>
<td valign="top" align="center">09:43</td>
<td valign="top" align="center">6.00</td>
<td valign="top" align="left">Spring</td>
</tr>
<tr>
<td valign="top" align="left">20160723</td>
<td valign="top" align="center">11:07</td>
<td valign="top" align="center">1.46</td>
<td valign="top" align="center">12:10</td>
<td valign="top" align="center">4.59</td>
<td valign="top" align="left">Spring</td>
</tr>
<tr>
<td valign="top" align="left">20160815</td>
<td valign="top" align="center">11:08</td>
<td valign="top" align="center">4.06</td>
<td valign="top" align="center">07:35</td>
<td valign="top" align="center">3.05</td>
<td valign="top" align="left">Neap</td>
</tr>
<tr>
<td valign="top" align="left">20160822</td>
<td valign="top" align="center">11:05</td>
<td valign="top" align="center">1.71</td>
<td valign="top" align="center">12:37</td>
<td valign="top" align="center">4.98</td>
<td valign="top" align="left">Spring</td>
</tr>
<tr>
<td valign="top" align="left">20161021</td>
<td valign="top" align="center">11:03</td>
<td valign="top" align="center">3.41</td>
<td valign="top" align="center">13:45</td>
<td valign="top" align="center">4.08</td>
<td valign="top" align="left">Spring</td>
</tr>
<tr>
<td valign="top" align="left">20161130</td>
<td valign="top" align="center">11:04</td>
<td valign="top" align="center">1.53</td>
<td valign="top" align="center">10:24</td>
<td valign="top" align="center">4.11</td>
<td valign="top" align="left">Spring</td>
</tr>
</tbody>
</table>
<table-wrap-foot>
<p><italic>Tide information was taken from the service hydrographique et oc&#x000E9;anographique de la Marine (SHOM) web portal using Pornic (France) as reference harbor (<ext-link ext-link-type="uri" xlink:href="http://maree.shom.fr/">http://maree.shom.fr/</ext-link>). All times are UT. Data acquired during neap and spring tides were used in Figures <xref ref-type="fig" rid="F5">5</xref>, <xref ref-type="fig" rid="F6">6</xref>, <xref ref-type="fig" rid="F9">9</xref>, and in Figures <xref ref-type="fig" rid="F7">7</xref>, <xref ref-type="fig" rid="F8">8</xref>, <xref ref-type="fig" rid="F10">10</xref>, respectively</italic>.</p>
</table-wrap-foot>
</table-wrap>
<p>During the selected days of satellite acquisition the tidal range varied from 2.75 to 6 m, encompassing neap and spring tides (Table <xref ref-type="table" rid="T1">1</xref>). The dataset was then divided in two subsets according to the tidal amplitude so that images were either clustered into neap tide (tidal amplitude &#x0003C;4 m) or into spring tide (tidal amplitude &#x0003E;4 m).</p>
<p>Irrespective of their acquisition date, Sentinel2 data were tidally sorted from ebb tide to flow tide according to the time difference between satellite observation and low tide, and to the water height at the time of acquisition. Sentinel2-derived SPM and chl <italic>a</italic> concentration maps were thus clustered in 2 composite tidal cycles, either representative of neap or spring tide. In order to investigate the influence of changes in SPM and chl <italic>a</italic> concentration on oysters, several physiological functions were directly retrieved from satellite data, as described below.</p>
</sec>
<sec>
<title>Simulating oyster physiology from space</title>
<p>Oyster clearance rate was computed from SPM concentration as in Barill&#x000E9; et al. (<xref ref-type="bibr" rid="B3">1997</xref>) using a non-linear function response (see also Figure 3 in Gernez et al., <xref ref-type="bibr" rid="B15">2014</xref>). Briefly, oyster clearance rate is constant and equal to 4.8 L h<sup>&#x02212;1</sup> when SPM concentration is lower than 60 g m<sup>&#x02212;3</sup>. Over this threshold the clearance rate is negatively impacted by the high turbidity. It follows a linear and decreasing trend between 60 and &#x0007E;200 g m<sup>&#x02212;3</sup>, and exponentially collapses over &#x0007E;200 g m<sup>&#x02212;3</sup>. This latter point corresponds to the saturation of the oyster gills (Barill&#x000E9; et al., <xref ref-type="bibr" rid="B3">1997</xref>). The chlorophyll consumption rate, defined as the biomass of chl <italic>a</italic> consumed per hour, is then computed as the product of the chl <italic>a</italic> concentration by the clearance rate (Barill&#x000E9; et al., <xref ref-type="bibr" rid="B3">1997</xref>):
<disp-formula id="E11"><label>(10)</label><mml:math id="M14"><mml:mtable class="eqnarray" columnalign="right center left"><mml:mtr><mml:mtd><mml:mtext>CONS</mml:mtext><mml:mo>=</mml:mo><mml:msup><mml:mrow><mml:mrow><mml:mo>[</mml:mo><mml:mrow><mml:mtext>chl&#x000A0;</mml:mtext><mml:mi>a</mml:mi></mml:mrow><mml:mo>]</mml:mo></mml:mrow></mml:mrow><mml:mrow><mml:mo>.</mml:mo></mml:mrow></mml:msup><mml:mtext>CR</mml:mtext></mml:mtd></mml:mtr></mml:mtable></mml:math></disp-formula>
where CR and CONS are, respectively the oyster clearance and chlorophyll consumption rates.</p>
<p>The clearance and chl consumption rates were simulated for each pixel of the Sentinel2 images using satellite-derived SPM and chl <italic>a</italic> data. In order to analyze the influence of the tide-driven chl <italic>a</italic> and SPM dynamic on oyster physiological response, composite tidal cycles of the clearance and chl consumption rates were also computed for the neap tide and spring tide clusters.</p>
</sec>
</sec>
</sec>
<sec sec-type="results" id="s3">
<title>Results</title>
<sec>
<title><italic>In situ</italic> reflectance spectra</title>
<p><italic>In situ</italic> hyperspectral marine reflectance spectra show some typical characteristics of coastal turbid waters (Figure <xref ref-type="fig" rid="F3">3A</xref>). From 400 to 580 nm &#x003C1;<sub><italic>w</italic></sub>(&#x003BB;) is relatively insensitive to changes in SPM and chl <italic>a</italic> concentration, preventing the use of a blue to green ratio algorithm to derive chl <italic>a</italic> concentration. From 600 to 900 nm the changes in the magnitude and spectral composition of the marine reflectance are mainly driven by variation in SPM concentration, notably as a result of particulate scattering.</p>
<p>In the red and NIR spectral region, the &#x003C1;<sub><italic>w</italic></sub> spectra also display several features associated with the presence of pigment-bearing particles. An inflection in the reflectance slope is visible around 632 nm, attributable to the absorption by both chl <italic>a</italic> and chl <italic>c</italic>, a pigments association specific to diatoms (M&#x000E9;l&#x000E9;der et al., <xref ref-type="bibr" rid="B32">2005</xref>). The most striking feature is however the trough at 675 nm associated with chl <italic>a</italic> absorption, and the resulting reflectance shift between 675 and 700 nm, generally referred to as the NIR/red edge (Gons et al., <xref ref-type="bibr" rid="B19">2002</xref>). Significant chl <italic>a</italic> concentration was confirmed by the analysis of HPLC data. It most likely originates from the tide-driven resuspension of benthic microalgae resuspended together with surface sediments.</p>
<p>Though a significant loss of information results from the downscaling of the TriOS hyperspectral reflectance to S2/MSI spectral resolution, a NIR/red edge between 665 and 705 nm is still noticeable on several S2-simulated &#x003C1;<sub><italic>w</italic></sub> spectra (Figure <xref ref-type="fig" rid="F3">3B</xref>), making it possible to apply the Gons et al. (<xref ref-type="bibr" rid="B20">2005</xref>) algorithm in Bourgneuf Bay&#x00027;s intertidal waters.</p>
</sec>
<sec>
<title><italic>In situ</italic> calibration of the SPM and chl <italic>a</italic> algorithms</title>
<p>The SPM and chl <italic>a in situ</italic> data acquired concomitantly with the &#x003C1;<sub><italic>w</italic></sub>(&#x003BB;) were used to calibrate the bio-optical algorithms using a fitting procedure (Figure <xref ref-type="fig" rid="F4">4</xref>). <italic>In situ</italic> SPM concentration ranged from 10.92 to 700.83 g m<sup>&#x02212;3</sup>, with a mean of 146.53 g m<sup>&#x02212;3</sup>. Over this range, a significant relationship was obtained between simulated and measured SPM concentration (<italic>p</italic>-value &#x0003C; 10<sup>&#x02212;5</sup>, correlation coefficient of 0.96, a slope of 0.93 and an intercept of 0.32). For the SPM retrieval, the root mean square error was 56.26 g m<sup>&#x02212;3</sup>.</p>
<p>The range of chl <italic>a</italic> concentration was from 3.97 to 52.51 mg m<sup>&#x02212;3</sup>, with a mean of 18.48 mg m<sup>&#x02212;3</sup>. In the initial algorithm of Gons et al. (<xref ref-type="bibr" rid="B20">2005</xref>), the chlorophyll-retrieval parameters were originally set to <italic>p</italic> &#x0003D; 1.05 and <inline-formula><mml:math id="M15"><mml:msubsup><mml:mrow><mml:mi>a</mml:mi></mml:mrow><mml:mrow><mml:mi>p</mml:mi><mml:mi>h</mml:mi><mml:mi>y</mml:mi></mml:mrow><mml:mrow><mml:mo>*</mml:mo></mml:mrow></mml:msubsup></mml:math></inline-formula>(665) &#x0003D; 0.014 m<sup>2</sup> (mg Chl <italic>a</italic>)<sup>&#x02212;1</sup> using observations performed in a variety of inland, estuarine and coastal waters over a range of chl <italic>a</italic> concentration from 1 to 181 mg m<sup>&#x02212;3</sup> (Gons, <xref ref-type="bibr" rid="B18">1999</xref>; Gons et al., <xref ref-type="bibr" rid="B19">2002</xref>). For the present study <italic>p</italic> was recalibrated to 1.02. A mean <inline-formula><mml:math id="M16"><mml:msubsup><mml:mrow><mml:mi>a</mml:mi></mml:mrow><mml:mrow><mml:mi>p</mml:mi><mml:mi>h</mml:mi><mml:mi>y</mml:mi></mml:mrow><mml:mrow><mml:mo>*</mml:mo></mml:mrow></mml:msubsup></mml:math></inline-formula>(665) of 0.013 m<sup>2</sup> (mg Chl a)<sup>&#x02212;1</sup> was obtained, a value consistent with previously reported specific absorption coefficients for the Saint Laurent Estuary (Bricaud et al., <xref ref-type="bibr" rid="B7">1995</xref>), and for the Baltic and North seas (Babin et al., <xref ref-type="bibr" rid="B2">2003</xref>). The comparison between the marine reflectance- and HPLC-derived chl <italic>a</italic> concentration was satisfactory (Figure <xref ref-type="fig" rid="F4">4A</xref>). The obtained linear regression shows a significant correlation coefficient of 0.93 (<italic>p</italic>-value &#x0003C; 10<sup>&#x02212;5</sup>), a slope of 1.02 and an intercept of &#x02212;0.07. For the chl retrieval, the root mean square error was 3.05 mg m<sup>&#x02212;3</sup>.</p>
</sec>
<sec>
<title>Chl <italic>a</italic> concentration within the oyster farm</title>
<p>The high spatial resolution (20 m) and spectral characteristics of Sentinel2 made it possible to quantify the distribution of SPM and chl <italic>a</italic> concentration at the scale of an oyster farm (Figures <xref ref-type="fig" rid="F5">5</xref>&#x02013;<xref ref-type="fig" rid="F8">8</xref>). Three main features characterized SPM and chl <italic>a</italic> spatial distribution in the shellfish farming site. First, both SPM and chl <italic>a</italic> concentrations are generally high, often exceeding 200 g m<sup>&#x02212;3</sup> and 10 mg m<sup>&#x02212;3</sup>, respectively. Second, their spatial structure depends on the bathymetry. SPM and chl <italic>a</italic> concentrations generally increase coastward, and the changes observed in their spatial distribution are more or less parallel to the isobaths (see for examples Figure <xref ref-type="fig" rid="F6">6C</xref> where the change in [chl <italic>a</italic>] from &#x0003C;5 to &#x0003E;10 mg m<sup>&#x02212;3</sup> occurred around the 1 m isobath, and Figure <xref ref-type="fig" rid="F7">7D</xref> where [SPM] displayed a clear gradient coastward). Third, the tidal cycle is a significant driver of SPM and chl <italic>a</italic> dynamics. Due to the tidal resuspension of benthic microalgae together with the other particles of the sedimentary surface, the chl <italic>a</italic> distribution was generally associated with SPM, a common feature of intertidal mudflats (Koh et al., <xref ref-type="bibr" rid="B27">2006</xref>). Spatial fronts of highest chl <italic>a</italic> concentration generally move seaward during ebb tide (Figures <xref ref-type="fig" rid="F6">6A&#x02013;C</xref>, <xref ref-type="fig" rid="F8">8A&#x02013;C</xref>), and coastward during flow tide (Figures <xref ref-type="fig" rid="F6">6D&#x02013;F</xref>, <xref ref-type="fig" rid="F8">8D&#x02013;F</xref>).</p>
<fig id="F5" position="float">
<label>Figure 5</label>
<caption><p><bold>Suspended particulate matter concentration during neap tides</bold>. Sentinel2 data were sorted following a composite tidal cycle from ebb tide <bold>(A&#x02013;C)</bold> to flow tide <bold>(D&#x02013;F)</bold>. Time difference between Sentinel2 acquisition and low tide is indicated, as well as the water height at the nearest reference harbor. The black polygons show the location of oyster tables. The white lines show the isobaths from 0 to 6 m above chart datum. The emerged part of the intertidal zone is in gray. Circled crosses around isobaths 0, 1, and 2 m show the points for which oyster clearance and consumption rates were computed (see Figures <xref ref-type="fig" rid="F9">9</xref>, <xref ref-type="fig" rid="F10">10</xref>).</p></caption>
<graphic xlink:href="fmars-04-00137-g0005.tif"/>
</fig>
<fig id="F6" position="float">
<label>Figure 6</label>
<caption><p><bold>Same as for Figure <xref ref-type="fig" rid="F5"><bold>5</bold></xref> but for chlorophyll <italic><bold>a</bold></italic> concentration</bold>.</p></caption>
<graphic xlink:href="fmars-04-00137-g0006.tif"/>
</fig>
<fig id="F7" position="float">
<label>Figure 7</label>
<caption><p><bold>Same as for Figure <xref ref-type="fig" rid="F5">5</xref> but during spring tides</bold>. Note the change in the color scale.</p></caption>
<graphic xlink:href="fmars-04-00137-g0007.tif"/>
</fig>
<fig id="F8" position="float">
<label>Figure 8</label>
<caption><p><bold>Same as for Figure <xref ref-type="fig" rid="F6">6</xref> but during spring tides</bold>.</p></caption>
<graphic xlink:href="fmars-04-00137-g0008.tif"/>
</fig>
<p>SPM and chl <italic>a</italic> concentrations exhibited similar spatial pattern during neap tide and spring tides, but the amplitude of the changes in their concentrations varied markedly between neaps and springs. For example, within the oyster farming zone SPM concentration varied from &#x0003C;10 to 300 g m<sup>&#x02212;3</sup> during neap tides and from 50 to &#x0003E;1,000 g m<sup>&#x02212;3</sup> during spring tides. Chl <italic>a</italic> concentration varied from &#x0003C;5 to 25 mg m<sup>&#x02212;3</sup> during neap tides and from 10 to 40 mg m<sup>&#x02212;3</sup> during spring tides.</p>
<p>The tide-driven variability was confirmed by the analysis of SPM and chl <italic>a</italic> concentration at the three selected fixed locations (black circled crosses in Figures <xref ref-type="fig" rid="F5">5</xref>&#x02013;<xref ref-type="fig" rid="F8">8</xref>). Both SPM and chl <italic>a</italic> concentration increased during ebb tide, reaching their maximum value during low tide and the start of the flow tide, and eventually decreasing during the end of the flow tide (Figures <xref ref-type="fig" rid="F9">9A,C</xref>, <xref ref-type="fig" rid="F10">10A,C</xref>). The temporal correlation between SPM and chl <italic>a</italic> concentration is attributable to the tide-driven resuspension of surface sediments, which contain both mineral particles and benthic microalgae. As expected, the amplitude of the tide-driven changes in SPM and chl <italic>a</italic> was higher during spring than during neap tides.</p>
<fig id="F9" position="float">
<label>Figure 9</label>
<caption><p><bold>Using Sentinel2 data shown in Figures 5, 6, composite tidal cycle of suspended particulate matter (SPM) concentration (A)</bold>, oyster clearance rate <bold>(B)</bold>, chlorophyll <italic>a</italic> (chl <italic>a</italic>) concentration <bold>(C)</bold>, and chl consumption rate <bold>(D)</bold> during neap tides at three bathymetric locations, as indicated.</p></caption>
<graphic xlink:href="fmars-04-00137-g0009.tif"/>
</fig>
<fig id="F10" position="float">
<label>Figure 10</label>
<caption><p><bold>Same as for Figure <xref ref-type="fig" rid="F9">9</xref> but using Sentinel2 data shown in Figures <xref ref-type="fig" rid="F7">7</xref>, <xref ref-type="fig" rid="F8">8</xref>, during spring tides</bold>.</p></caption>
<graphic xlink:href="fmars-04-00137-g0010.tif"/>
</fig>
<p>The temporal changes in clearance and chl consumption rates were then analyzed in order to quantify the influence of the tide-driven SPM and chl <italic>a</italic> dynamic on the oyster physiological responses.</p>
</sec>
<sec>
<title>Influence of SPM and chl <italic>a</italic> variation on oyster physiology</title>
<p>During neap tides the simulated chl consumption rate mirrored the changes observed in chl <italic>a</italic> concentration (Figures <xref ref-type="fig" rid="F9">9C,D</xref>). This is attributable to the limited negative impact of SPM concentration on the clearance rate (Figures <xref ref-type="fig" rid="F9">9A,B</xref>). Generally SPM concentration remained below 100 g m<sup>&#x02212;3</sup> throughout the composite tidal cycle, except during flow tide where SPM concentration increased up to 175 g m<sup>&#x02212;3</sup> due to the erosion of surface sediments by tidal currents. The clearance rate mostly fluctuated between 4 and 5 L h<sup>&#x02212;1</sup>, and the decrease which occurred just after low tide was too small to counterbalance the increase in chl consumption.</p>
<p>During spring tides the simulated oyster physiological functions were more complexly affected by SPM and chl <italic>a</italic> tidal variability (Figure <xref ref-type="fig" rid="F10">10</xref>). First, a significant part the intertidal zone rapidly became emerged, and after mid-ebb the oysters could no longer filter seawater nor consume particles (see plain lines in Figure <xref ref-type="fig" rid="F10">10</xref>). In the waters just outside the intertidal zone, SPM concentration rapidly exceeded 200 g m<sup>&#x02212;3</sup> due to the strong tidal currents occurring from mid-ebb to the end of flow tide (dashed and dotted lines in Figure <xref ref-type="fig" rid="F10">10A</xref>). Such high SPM concentrations are known to saturate the oyster gills (Barill&#x000E9; et al., <xref ref-type="bibr" rid="B3">1997</xref>), and it resulted in the dramatic collapse of the clearance rate from mid-ebb to the end of flow tide (Figure <xref ref-type="fig" rid="F10">10B</xref>). Meanwhile, the positive effects of the tide-driven increase in chl <italic>a</italic> concentration were rapidly counterbalanced by the collapse of the clearance rate, and the chl consumption rate dropped to zero from mid-ebb to the end of the flow (Figure <xref ref-type="fig" rid="F10">10D</xref>).</p>
<p>In summary, during neap tide, the tidal cycle in SPM concentration does not negatively impact oyster physiological response very much, and the low-tide increase in chl <italic>a</italic> concentration was directly translated into an increase in chl consumption for the farmed oysters. As most of the intertidal zone remains immerged during neap tides, the altitudinal location of the oyster farms has little influence on the tidal cycle of the clearance and chl consumption rate (Figure <xref ref-type="fig" rid="F9">9</xref>). During spring tides on the contrary, a significant fraction of the intertidal zone is emerged. In the waters adjacent to the intertidal zone and in the intertidal areas still under water, the high SPM concentration negatively impacts both clearance and chl consumption rate, whatever the chl <italic>a</italic> concentration, thus further limiting oyster physiological activity during a significant fraction of the tidal cycle (Figure <xref ref-type="fig" rid="F10">10</xref>).</p>
</sec>
</sec>
<sec sec-type="discussion" id="s4">
<title>Discussion</title>
<sec>
<title>Chl <italic>a</italic> algorithms in turbid coastal waters</title>
<p>The Gons et al. (<xref ref-type="bibr" rid="B20">2005</xref>) algorithm, recalibrated to Sentinel2/MSI, was fitted to <italic>in situ</italic> measurement (Figure <xref ref-type="fig" rid="F4">4</xref>) before being applied to Bourgneuf Bay. The fit was satisfactory, as demonstrated by the consistency of the value of <inline-formula><mml:math id="M17"><mml:msubsup><mml:mrow><mml:mi>a</mml:mi></mml:mrow><mml:mrow><mml:mi>p</mml:mi><mml:mi>h</mml:mi><mml:mi>y</mml:mi></mml:mrow><mml:mrow><mml:mo>*</mml:mo></mml:mrow></mml:msubsup></mml:math></inline-formula>(665) with the literature (Bricaud et al., <xref ref-type="bibr" rid="B7">1995</xref>; Gons et al., <xref ref-type="bibr" rid="B19">2002</xref>; Babin et al., <xref ref-type="bibr" rid="B2">2003</xref>). Other algorithms could have been used. Besides the Gons et al. (<xref ref-type="bibr" rid="B20">2005</xref>) method, various approaches were previously developed for turbid and/or eutrophic coastal and inland waters, including the 2-, and 3-band models (Dall&#x00027;Olmo et al., <xref ref-type="bibr" rid="B11">2005</xref>; Gitelson et al., <xref ref-type="bibr" rid="B16">2008</xref>; Le et al., <xref ref-type="bibr" rid="B29">2013</xref>), the fluorescence line height (FLH, Gower et al., <xref ref-type="bibr" rid="B21">1999</xref>), the maximum chlorophyll index (MCI, Gower et al., <xref ref-type="bibr" rid="B22">2005</xref>), and the 705 nm peak height (Toming et al., <xref ref-type="bibr" rid="B46">2016</xref>). These algorithms are all based on a NIR/red edge either associated with chl <italic>a</italic> absorption at 675 nm or with sun-induced chl <italic>a</italic> fluorescence. An obvious limitation of these NIR/red algorithms is the lack of sensitivity in waters where the reflectance trough associated with chl <italic>a</italic> absorption around 675 nm is hardly pronounced (see for example the lowest &#x003C1;<sub><italic>w</italic></sub>(&#x003BB;) spectrum in Figure <xref ref-type="fig" rid="F3">3</xref>). In less eutrophic waters (i.e., chl <italic>a</italic> concentration smaller than &#x0007E;4 mg m<sup>&#x02212;3</sup>), the use of blue-green wavelengths would be more relevant to retrieve chl <italic>a</italic> concentration.</p>
<p>A recent study demonstrated that the 2- and 3-band models (Dall&#x00027;Olmo et al., <xref ref-type="bibr" rid="B11">2005</xref>) worked well with simulated Sentinel2/MSI-like imagery (Beck et al., <xref ref-type="bibr" rid="B5">2016</xref>). In our algorithm inter-comparison (see <xref ref-type="supplementary-material" rid="SM1">Supplementary Information</xref>), the most performant method for our study site was the Gons et al. (<xref ref-type="bibr" rid="B20">2005</xref>) algorithm. Besides its good performance, another advantage of the Gons et al. (<xref ref-type="bibr" rid="B20">2005</xref>) algorithm is that the <italic>p</italic> and <inline-formula><mml:math id="M18"><mml:msubsup><mml:mrow><mml:mi>a</mml:mi></mml:mrow><mml:mrow><mml:mi>p</mml:mi><mml:mi>h</mml:mi><mml:mi>y</mml:mi></mml:mrow><mml:mrow><mml:mo>*</mml:mo></mml:mrow></mml:msubsup></mml:math></inline-formula>(665) parameters seem to be relatively stable over a variety of coastal waters, including the numerous inland, estuarine, and coastal sites initially sampled by Gons (<xref ref-type="bibr" rid="B18">1999</xref>), and the intertidal waters of Bourgneuf Bay. Additional field data are however needed to assess the geographical robustness of a common set of parameters, as well as its seasonal stability. While the range of chl <italic>a</italic> concentration retrieved from Sentinel2 data in our study site was consistent with previous field measurements (Barill&#x000E9;-Boyer et al., <xref ref-type="bibr" rid="B4">1997</xref>), the accuracy of the chl <italic>a</italic> concentration maps is more difficult to quantitatively appraise due to the lack of validation data. More <italic>in situ</italic> and match-up data are needed to improve the method.</p>
</sec>
<sec>
<title>Advantages and limitations of sentinel2 for aquaculture applications</title>
<p>The retrieval of chl <italic>a</italic> concentration using a NIR/red algorithm is relevant in eutrophic waters, but at lower chl <italic>a</italic> concentration the accuracy would probably decrease. It is then generally advised to switch toward shorter wavelengths in the blue-green parts of the visible spectrum. As far as Sentinel2 is concerned, the lack of a spectral band at around 412 nm will certainly limit the performance of chl <italic>a</italic> inversion methods, as it has been long demonstrated that such a spectral band improves the deconvolution of chl <italic>a</italic>, PIM, and CDOM absorption (Carder et al., <xref ref-type="bibr" rid="B9">1999</xref>). For sensors equipped with a spectral band at 412 nm such as MERIS, the ocean color 5 (OC5) algorithm (Gohin et al., <xref ref-type="bibr" rid="B17">2002</xref>) has been recently recommended in recent intercomparison studies of the North West European (Tilstone et al., <xref ref-type="bibr" rid="B45">2017</xref>) and Vietnamese (Loisel et al., <xref ref-type="bibr" rid="B30">2017</xref>) coastal waters. As already indicated by Vanhellemont and Ruddick (<xref ref-type="bibr" rid="B53">2016</xref>), several other limitations specific to Sentinel2 can also arise, due to its relatively wide bands, low signal-to-noise ratio, and lack of vicarious calibration.</p>
<p>Despite these issues, Sentinel2 offers four main advantages for the remote-sensing of shellfish farming ecosystems. First, its high spatial resolution (20 m) made it possible to observe aquaculture sites located nearshore, in narrow bays and estuaries (Gernez et al., <xref ref-type="bibr" rid="B15">2014</xref>), and to analyze within-farm spatial variability. Second, its relatively small revisit time (which is now 5 days since the launch of Sentinel-2B) increases the probability of acquiring cloud-free data over a given site. Sentinel2 acquisition frequency also limits subsampling and observation biases for the study of rapidly varying environments. There is no doubt that the Sentinel2 time-series will strengthen observation robustness and statistical descriptors of the very dynamic and changing coastal waters. Third, its SWIR spectral band facilitates atmospheric correction over turbid waters (Vanhellemont and Ruddick, <xref ref-type="bibr" rid="B52">2015</xref>). Fourth, its spectral resolution in the red and NIR spectral regions made it possible to apply a variety of chlorophyll inversion algorithms (see previous section). Altogether, these characteristics represent a significant improvement for the remote sensing of turbid oyster farming ecosystems, and more generally for coastal zone observation.</p>
</sec>
<sec>
<title>Shellfish ecology from space?</title>
<p>The combination of EO and shellfish physiological models opens new perspectives for aquaculture management, shellfish farming ecosystems studies (Gernez et al., <xref ref-type="bibr" rid="B15">2014</xref>), and more broadly for a better understanding of the coastal ocean response to global changes. For example, the poleward extent of the Pacific oyster (a well-known invasive species, Herbert et al., <xref ref-type="bibr" rid="B23">2016</xref>) along the European coasts has been recently quantitatively analyzed using an original coupling of EO with mechanistic physiological oyster modeling (Thomas et al., <xref ref-type="bibr" rid="B44">2016</xref>). In another recent study the EO time-series archive has been used with climatic, biological and energetics models to better understand predicted changes in growth, reproduction and mortality risk for commercially and ecologically important bivalves in the Mediterranean Sea (Montalto et al., <xref ref-type="bibr" rid="B34">2016</xref>).</p>
<p>Concurrently with the increase of EO aquaculture applications, the development of improved satellite products should not be neglected. The detection of phytoplankton species causing harmful algal blooms (HABs) is a major concern for fisheries and shellfish farming management (Sourisseau et al., <xref ref-type="bibr" rid="B43">2016</xref>), and recent algorithm developments have proved useful to provide early warnings (Davidson et al., <xref ref-type="bibr" rid="B12">2009</xref>) or statistical estimation of HAB-related risks (Kurekin et al., <xref ref-type="bibr" rid="B28">2014</xref>). Enhanced characterization of the composition of the particulate assemblage could also be used to improve satellite-derived aquaculture products. For example, as oysters have the ability to preferentially select organic rather than mineral particles before ingestion (Barill&#x000E9; et al., <xref ref-type="bibr" rid="B3">1997</xref>; Dutertre et al., <xref ref-type="bibr" rid="B14">2009</xref>), estimation of the organic fraction of the particulate assemblage (Wo&#x0017A;niak et al., <xref ref-type="bibr" rid="B55">2010</xref>) could be used to better constrain shellfish physiological models.</p>
</sec>
</sec>
<sec sec-type="conclusions" id="s5">
<title>Conclusion</title>
<p>In summary, it has been demonstrated that Sentinel2/MSI has the potential to map chlorophyll <italic>a</italic> and SPM concentration in turbid, chlorophyll-rich, intertidal waters. Sentinel2 high spatial resolution (20 m) made it possible to analyze SPM and chl <italic>a</italic> distribution at the scale of an oyster farm, thus opening new opportunities for aquaculture applications. The influence of the tidal dynamic on SPM and chl <italic>a</italic> concentration was highlighted, and its influence on oyster physiological response was analyzed in the shellfish farm and adjacent nearshore waters. During neap tides oysters were little influenced by the high turbidity, whereas during spring tides their clearance and chl consumption rates were significantly impacted by the extremely high SPM concentration during a significant fraction of the tidal cycle. This study confirms the potential of EO for marine spatial planning (Ouellette and Getinet, <xref ref-type="bibr" rid="B38">2016</xref>), and offers a generic framework where the combination of high resolution satellite remote sensing with bivalves ecophysiological model makes it possible to explore the response of cultivated suspension feeders to environmental conditions in many coastal areas, and to optimize site selection for shellfish farming.</p>
</sec>
<sec id="s6">
<title>Author contributions</title>
<p>All authors contribute to work design, data acquisition, and data interpretation. PG processed the data and wrote the manuscript. All authors gave their approval to the manuscript final version.</p>
</sec>
<sec id="s7">
<title>Funding</title>
<p>This work has been supported by the &#x0201C;Programme National de T&#x000E9;l&#x000E9;d&#x000E9;tection Spatiale&#x0201D; (PNTS, <ext-link ext-link-type="uri" xlink:href="http://www.insu.cnrs.fr/pnts">http://www.insu.cnrs.fr/pnts</ext-link>) in the frame of the TURBO project (grant n&#x000B0; PNTS-2015-07), by the French Research National Agency (ANR) in the frame of the GIGASSAT project (grant n&#x000B0; ANR-12-AGRO-0001, <ext-link ext-link-type="uri" xlink:href="http://www.gigassat.org/">http://www.gigassat.org/</ext-link>), by the European Union&#x00027;s Research and Innovation FP7 program in the frame of the HIGHROC project (grant n&#x000B0; 606797, <ext-link ext-link-type="uri" xlink:href="http://www.highroc.eu/">http://www.highroc.eu/</ext-link>), and by the Tools for Assessment and Planning of Aquaculture Sustainability (TAPAS) project, a Horizon 2020 Research and Innovation Action funded by the European Commission (Grant agreement No: 678396, <ext-link ext-link-type="uri" xlink:href="http://tapas-h2020.eu/">http://tapas-h2020.eu/</ext-link>).</p>
<sec>
<title>Conflict of interest statement</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>
</body>
<back>
<ack><p>The European Space Agency is acknowledged for the production and distribution of Sentinel2 data. The US Geological Survey is thanked for maintaining the earth explorer web portal (<ext-link ext-link-type="uri" xlink:href="https://earthexplorer.usgs.gov">https://earthexplorer.usgs.gov</ext-link>). Morgane Larnicol and St&#x000E9;fani Novoa are thanked for their participation to field work. The authors thank Quinten Vanhellemont and Kevin Ruddick for making the ACOLITE software freely available. The organizers of the CLEO workshop and special issue are thanked for their efforts to federate the ocean color scientific community. Emmanuel Devred and Zhubin Zheng are thanked for their comments.</p>
</ack>
<sec sec-type="supplementary-material" id="s8">
<title>Supplementary material</title>
<p>The Supplementary Material for this article can be found online at: <ext-link ext-link-type="uri" xlink:href="http://journal.frontiersin.org/article/10.3389/fmars.2017.00137/full#supplementary-material">http://journal.frontiersin.org/article/10.3389/fmars.2017.00137/full#supplementary-material</ext-link></p>
<supplementary-material xlink:href="DataSheet1.docx" id="SM1" mimetype="application/vnd.openxmlformats-officedocument.wordprocessingml.document" xmlns:xlink="http://www.w3.org/1999/xlink"/>
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