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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.2017.00246</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>Reproduction of Spatio-Temporal Patterns of Major Mediterranean Phytoplankton Groups from Remote Sensing OC-CCI Data</article-title>
</title-group>
<contrib-group>
<contrib contrib-type="author" corresp="yes">
<name><surname>Navarro</surname> <given-names>Gabriel</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/380184/overview"/>
</contrib>
<contrib contrib-type="author">
<name><surname>Almaraz</surname> <given-names>Pablo</given-names></name>
<xref ref-type="aff" rid="aff1"><sup>1</sup></xref>
<uri xlink:href="http://loop.frontiersin.org/people/128966/overview"/>
</contrib>
<contrib contrib-type="author">
<name><surname>Caballero</surname> <given-names>Isabel</given-names></name>
<xref ref-type="aff" rid="aff1"><sup>1</sup></xref>
</contrib>
<contrib contrib-type="author">
<name><surname>V&#x000E1;zquez</surname> <given-names>&#x000C1;gueda</given-names></name>
<xref ref-type="aff" rid="aff2"><sup>2</sup></xref>
</contrib>
<contrib contrib-type="author">
<name><surname>Huertas</surname> <given-names>Isabel E.</given-names></name>
<xref ref-type="aff" rid="aff1"><sup>1</sup></xref>
</contrib>
</contrib-group>
<aff id="aff1"><sup>1</sup><institution>Department of Ecology and Coastal Management, Institute of Marine Sciences of Andalusia (CSIC)</institution> <country>Puerto Real, Spain</country></aff>
<aff id="aff2"><sup>2</sup><institution>Department of Applied Physics, Higher Engineering School, University of Cadiz</institution> <country>Puerto Real, Spain</country></aff>
<author-notes>
<fn fn-type="edited-by"><p>Edited by: Astrid Bracher, Alfred-Wegener-Institute Helmholtz Center for Polar and Marine Research, Germany</p></fn>
<fn fn-type="edited-by"><p>Reviewed by: Alison Palmer Chase, University of Maine, United States; Takafumi Hirata, Hokkaido University, Japan</p></fn>
<fn fn-type="corresp" id="fn001"><p>&#x0002A;Correspondence: Gabriel Navarro <email>gabriel.navarro&#x00040;icman.csic.es</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>02</day>
<month>08</month>
<year>2017</year>
</pub-date>
<pub-date pub-type="collection">
<year>2017</year>
</pub-date>
<volume>4</volume>
<elocation-id>246</elocation-id>
<history>
<date date-type="received">
<day>15</day>
<month>03</month>
<year>2017</year>
</date>
<date date-type="accepted">
<day>19</day>
<month>07</month>
<year>2017</year>
</date>
</history>
<permissions>
<copyright-statement>Copyright &#x000A9; 2017 Navarro, Almaraz, Caballero, V&#x000E1;zquez and Huertas.</copyright-statement>
<copyright-year>2017</copyright-year>
<copyright-holder>Navarro, Almaraz, Caballero, V&#x000E1;zquez and Huertas</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>During the last two decades, several satellite algorithms have been proposed to retrieve information about phytoplankton groups using ocean color data. One of these algorithms, the so-called PHYSAT-Med, was developed specifically for the Mediterranean Sea due to the optical peculiarities of this basin. The method allows the detection from ocean color images of the dominant Mediterranean phytoplankton groups, namely nanoeukaryotes, <italic>Prochlorococcus, Synechococcus</italic>, diatoms, coccolithophorids, and <italic>Phaeocystis</italic>-like phytoplankton. Here, we present a new version of PHYSAT-Med applied to the Ocean Colour&#x02014;Climate Change Initiative (OC-CCI) database. The OC-CCI database consists of a multi-sensor, global ocean-color product that merges observations from four different sensors. This retuned version presents improvements with respect to the previous version, as it increases the temporal range (since 1998), decreases the cloud cover, improves the bias correction and a validation exercise was performed in the NW Mediterranean Sea. In particular, the PHYSAT-Med version has been used here to analyse the annual cycles of the major phytoplankton groups in the Mediterranean Sea. Wavelet analyses were used to explore the spatial variability in dominance both in the time and frequency domains in several Mediterranean sub-regions, such as the Alboran Sea, Ligurian Sea, Northern Adriatic Sea, and Levantine basin. Results extended the interpretation of previously detected patterns, indicating the dominance of <italic>Synechococcus</italic>-like vs. prochlorophytes throughout the year at the basin level, and the predominance of nanoeukaryotes during the winter months. The method successfully reproduced the diatom blooms normally detected in the basin during the spring season (March to April), especially in the Adriatic Sea. According to our results, the PHYSAT-Med OC-CCI algorithm represents a useful tool for the spatio-temporal monitoring of dominant phytoplankton groups in Mediterranean surface waters. The successful applications of other regional ocean color algorithms to the OC-CCI database will give rise to extended time series of phytoplankton functional types, with promising applications to the study of long-term oceanographic trends in a global change context.</p>
</abstract>
<kwd-group>
<kwd>PHYSAT-Med algorithm</kwd>
<kwd>OC-CCI database</kwd>
<kwd>phytoplankton functional types</kwd>
<kwd>Mediterranean Sea</kwd>
<kwd>wavelet analysis</kwd>
</kwd-group>
<counts>
<fig-count count="11"/>
<table-count count="1"/>
<equation-count count="9"/>
<ref-count count="105"/>
<page-count count="16"/>
<word-count count="10912"/>
</counts>
</article-meta>
</front>
<body>
<sec sec-type="intro" id="s1">
<title>Introduction</title>
<p>Since the launch of the Coastal Zone Color Scanner (CZCS) in the late 1970s, ocean color remote sensing has deeply improved our understanding of the ocean system by providing global estimations of the surface chlorophyll concentration (Chl<italic>a</italic>), a parameter known to be a good proxy of phytoplankton biomass (e.g., McClain, <xref ref-type="bibr" rid="B69">2009</xref>). Marine phytoplankton are located at the base of the marine food web (Chassot et al., <xref ref-type="bibr" rid="B21">2010</xref>; and references therein), play a major role in the global biogeochemical cycles (Field et al., <xref ref-type="bibr" rid="B35">1998</xref>) and participate actively in the regulation of the global climate (Sabine et al., <xref ref-type="bibr" rid="B83">2004</xref>). During the last 40 years, observations of regional-to-global Chl<italic>a</italic> data have been acquired by different ocean color sensors (IOCCG, <xref ref-type="bibr" rid="B50">2012</xref>), such as Sea-viewing Wide Field-of-view Sensor (SeaWiFS), Moderate Resolution Imaging Spectroradiometer (MODIS), Medium-Resolution Imaging Spectrometer (MERIS) and Visible Infrared Imager Radiometer Suite (VIIRS). In order to extend the existing time series beyond that provided by a single satellite sensor, the European Space Agency (ESA) has recently generated the Ocean Colour&#x02014;Climate Change Initiative (OC-CCI), a multi-sensor, global, ocean-color product mainly devoted to climate research (Storm et al., <xref ref-type="bibr" rid="B90">2013</xref>) that merges observations from four different sensors: SeaWiFS, MODIS, MERIS, and VIIRS. As an ESA-funded CCI project, the OC-CCI focuses specifically in creating a consistent, error-characterized time-series of ocean-color products, with a strong focus in climate-change studies (Brewin et al., <xref ref-type="bibr" rid="B16">2015</xref>). Remote-sensing reflectance (Rrs) data from MODIS-Aqua and MERIS are then band-shifted to match the wavelengths of SeaWiFS by using an in-water bio-optical model (e.g., see M&#x000E9;lin and Sclep, <xref ref-type="bibr" rid="B70">2015</xref>). The main reason behind this choice is that SeaWiFS is widely considered as the highest quality sensor with the best match to <italic>in situ</italic> observations, and is commonly used in peer literature (Couto et al., <xref ref-type="bibr" rid="B26">2016</xref>). This dataset improves the bias correction, thus reducing the sensitivity to medium-term changes and extending the method applicability beyond the lifetime of SeaWiFS. As a result, the current OC-CCI database allows for the examination of the spatial and temporal variability of surface Chl<italic>a</italic> since September 1997 (Couto et al., <xref ref-type="bibr" rid="B26">2016</xref>).</p>
<p>Even though remote sensing derived phytoplankton types does not provide a full description of the marine ecosystem, its spatio-temporal distribution (including phenology, Kostadinov et al., <xref ref-type="bibr" rid="B56">2017</xref>), and identification of key groups give powerful insights on the dynamics of the marine food web and the ocean&#x00027;s role in climate regulation in the context of the global change (Bracher et al., <xref ref-type="bibr" rid="B12">2017</xref>). This relevance was early recognized by Platt et al. (<xref ref-type="bibr" rid="B79">2006</xref>), who concluded that detection of phytoplankton from remote sensing images was a major challenge in ocean optics. Therefore, over the last decade, several remote sensing algorithms have been developed to characterize the global distribution patterns of phytoplankton functional types (PFT) or size classes (PSC; e.g., Sathyendranath et al., <xref ref-type="bibr" rid="B86">2004</xref>; Alvain et al., <xref ref-type="bibr" rid="B5">2005</xref>, <xref ref-type="bibr" rid="B4">2008</xref>; Ciotti and Bricaud, <xref ref-type="bibr" rid="B22">2006</xref>; Raitsos et al., <xref ref-type="bibr" rid="B81">2008</xref>; Aiken et al., <xref ref-type="bibr" rid="B1">2009</xref>; Bracher et al., <xref ref-type="bibr" rid="B13">2009</xref>; Brewin et al., <xref ref-type="bibr" rid="B17">2010</xref>; Kostadinov et al., <xref ref-type="bibr" rid="B55">2010</xref>; Hirata et al., <xref ref-type="bibr" rid="B48">2011</xref>; Uitz et al., <xref ref-type="bibr" rid="B97">2012</xref>; see recent summary in Table 2 in (Bracher et al., <xref ref-type="bibr" rid="B12">2017</xref> and Table 3 in Mouw et al., <xref ref-type="bibr" rid="B72">2017</xref>). A complete guide of the available approaches can be found in Mouw et al. (<xref ref-type="bibr" rid="B72">2017</xref>). Some of these algorithms are based on various spectral features, such as backscattering (e.g., Kostadinov et al., <xref ref-type="bibr" rid="B55">2010</xref>), absorption (e.g., Ciotti and Bricaud, <xref ref-type="bibr" rid="B22">2006</xref>; Bracher et al., <xref ref-type="bibr" rid="B13">2009</xref>; Mouw and Yoder, <xref ref-type="bibr" rid="B71">2010</xref>; Roy et al., <xref ref-type="bibr" rid="B82">2013</xref>) or a hybrid between absorption and backscattering (Fujiwara et al., <xref ref-type="bibr" rid="B36">2011</xref>). Other algorithms exploit second-order anomalies of reflectance spectra (Alvain et al., <xref ref-type="bibr" rid="B5">2005</xref>, <xref ref-type="bibr" rid="B4">2008</xref>), which is the case of the so-called PHYSAT that was first developed at a global scale by Alvain et al. (<xref ref-type="bibr" rid="B5">2005</xref>, <xref ref-type="bibr" rid="B4">2008</xref>). The PHYSAT approach relies on the identification of specific signatures in the normalized water leaving radiance (nLw) spectra measured by an ocean color sensor (Alvain et al., <xref ref-type="bibr" rid="B5">2005</xref>, <xref ref-type="bibr" rid="B4">2008</xref>), thereby enabling the identification of nanoeukaryotes, haptophytes (a major component of the nanoflagellates), <italic>Synechococcus</italic>-like cyanobacteria, diatoms, <italic>Prochlorococcus, Phaeocystis</italic>-like phytoplankton, and coccolithophorids. The PHYSAT method has been successfully validated with phytoplankton <italic>in situ</italic> data and extensively used by many authors (e.g., Bopp et al., <xref ref-type="bibr" rid="B11">2005</xref>; Arnold et al., <xref ref-type="bibr" rid="B8">2010</xref>; D&#x00027;Ovidio et al., <xref ref-type="bibr" rid="B28">2010</xref>; Gorgues et al., <xref ref-type="bibr" rid="B41">2010</xref>; Masotti et al., <xref ref-type="bibr" rid="B66">2010</xref>, <xref ref-type="bibr" rid="B67">2011</xref>; Alvain et al., <xref ref-type="bibr" rid="B3">2012</xref>, <xref ref-type="bibr" rid="B2">2013</xref>; Belviso et al., <xref ref-type="bibr" rid="B9">2012</xref>; Demarcq et al., <xref ref-type="bibr" rid="B31">2012</xref>; De Monte et al., <xref ref-type="bibr" rid="B30">2013</xref>; Hashioka et al., <xref ref-type="bibr" rid="B47">2013</xref>; Ben Mustapha et al., <xref ref-type="bibr" rid="B10">2014</xref>; Thyssen et al., <xref ref-type="bibr" rid="B93">2015</xref>).</p>
<p>Navarro et al. (<xref ref-type="bibr" rid="B74">2014</xref>) later proposed a regionalized version of the algorithm for the Mediterranean Sea (Figure <xref ref-type="fig" rid="F1">1</xref>), the PHYSAT-Med, using the MODIS era (2002&#x02013;2013) for identification of nanoeukaryotes, <italic>Prochlorococcus, Synechococcus</italic>-like cyanobacteria and diatoms, which was compared with more than 3,000 high-performance liquid chromatography (HPLC) <italic>in situ</italic> measurements (see Table 3 in Navarro et al., <xref ref-type="bibr" rid="B74">2014</xref>). The main utility of the PHYSAT-Med is that it allows for the tracking of specific features of phytoplankton community structure occurring in the basin, along with their associated bio-optical relationships that are heavily affected by continental inputs, such as desert dust events and rivers discharge (Bricaud et al., <xref ref-type="bibr" rid="B18">2002</xref>; Claustre et al., <xref ref-type="bibr" rid="B24">2002</xref>; Alvain et al., <xref ref-type="bibr" rid="B6">2006</xref>; Loisel et al., <xref ref-type="bibr" rid="B61">2011</xref>). Volpe et al. (<xref ref-type="bibr" rid="B103">2007</xref>) early suggested that the unique phytoplankton assemblages of the basin could alter its spectral signature, therefore being responsible for the peculiar color of the Mediterranean. Due to these characteristics, standard remote sensing approaches tend to either overestimate or underestimate Chl<italic>a</italic> levels in the Mediterranean. In fact, Volpe et al. (<xref ref-type="bibr" rid="B103">2007</xref>) also showed that NASA SeaWiFS standard chlorophyll products are affected by an uncertainty in the order of 100%. Specific algorithms have been thus developed to retrieve Chl<italic>a</italic> in the region, namely DORMA-SeaWiFS (D&#x00027;Ortenzio et al., <xref ref-type="bibr" rid="B33">2002</xref>), BRIC-SeaWiFS (Bricaud et al., <xref ref-type="bibr" rid="B18">2002</xref>), MedOC4-SeaWiFS (Volpe et al., <xref ref-type="bibr" rid="B103">2007</xref>), MedOC3-MODIS (Santoleri et al., <xref ref-type="bibr" rid="B85">2008</xref>), and MedOC4ME-MERIS (Santoleri et al., <xref ref-type="bibr" rid="B85">2008</xref>).</p>
<fig id="F1" position="float">
<label>Figure 1</label>
<caption><p>Map of the Mediterranean Sea. Gray areas show the sub-regions selected in this study for a regional assessment: Alboran Sea (ALBS), Ligurian Sea (LIGS), Northern Adriatic Sea (NADS), and Levantine basin (LEVB).</p></caption>
<graphic xlink:href="fmars-04-00246-g0001.tif"/>
</fig>
<p>Furthermore, these bio-optical characteristics of the basin described above clearly indicate the necessity to use customized algorithms to detect PFT or PSC in Mediterranean Sea. Recently, Sammartino et al. (<xref ref-type="bibr" rid="B84">2015</xref>) described the temporal variability of PSC in Mediterranean Sea using the model proposed by Brewin et al. (<xref ref-type="bibr" rid="B15">2011</xref>). Di Cicco et al. (<xref ref-type="bibr" rid="B32">2017</xref>) presented a new regional algorithm to identify simultaneously the contribution of each PSC and PFT group to the satellite estimates of total Chl<italic>a</italic> concentration in the basin.</p>
<p>The Mediterranean (Figure <xref ref-type="fig" rid="F1">1</xref>) is the largest inland ocean basin on Earth, only connected to the rest of the world&#x00027;s oceans by the Strait of Gibraltar. It exhibits an oligotrophic regime (Krom et al., <xref ref-type="bibr" rid="B57">1991</xref>), notwithstanding relatively external high inputs of essential nutrients (Ludwig et al., <xref ref-type="bibr" rid="B62">2009</xref>; Huertas et al., <xref ref-type="bibr" rid="B49">2012</xref>; Powley et al., <xref ref-type="bibr" rid="B80">2016</xref>). Nevertheless, local physical structures generate convergences zones, which are reflected in the distinct biogeochemical properties of the two Mediterranean sub-regions, the Western and the Levantine. Thus, a notable decreasing gradient in Chla concentration is detected from the west to the east, which causes a significant longitudinal variation in primary production (Turley et al., <xref ref-type="bibr" rid="B95">2000</xref>; Uitz et al., <xref ref-type="bibr" rid="B97">2012</xref>). This gradient in oligotrophy is evidenced both by <italic>in situ</italic> measurements (Tanhua et al., <xref ref-type="bibr" rid="B91">2013</xref>) and satellite data (D&#x00027;Ortenzio and Ribera d&#x00027;Alcal&#x000E1;, <xref ref-type="bibr" rid="B27">2009</xref>). However, the seasonal evolution of Chla distribution still follows the typical succession of temperate regions, characterized by a phytoplankton biomass increase in late winter/early spring, a decrease during the summer season and a second smaller phytoplankton bloom in autumn (Siokou-Frangou et al., <xref ref-type="bibr" rid="B88">2010</xref>; Sammartino et al., <xref ref-type="bibr" rid="B84">2015</xref>).</p>
<p>Phytoplankton community structure in oligotrophic areas throughout the world&#x00027;s ocean is mainly composed by picoplankton and ultraplankton (Li et al., <xref ref-type="bibr" rid="B60">1983</xref>; Brunet et al., <xref ref-type="bibr" rid="B19">2006</xref>; Dandonneau et al., <xref ref-type="bibr" rid="B29">2006</xref>). Nevertheless, the Mediterranean phytoplankton communities structures reveals a considerable variability over both temporal and spatial scales, and large dissimilarities in phytoplankton assemblage composition along with other microorganisms across the basin have been also highlighted (Siokou-Frangou et al., <xref ref-type="bibr" rid="B88">2010</xref>). Many studies have pointed to the dominance of picoplankton as the fingerprint of the Mediterranean Sea and its overriding oligotrophy, but the occurrence of regional phytoplankton blooms cause the coexistence of numerous microalgal groups (Siokou-Frangou et al., <xref ref-type="bibr" rid="B88">2010</xref>).</p>
<p>The satellite empirical model applied by Sammartino et al. (<xref ref-type="bibr" rid="B84">2015</xref>) encompassed this unusual and complex community structure in the Mediterranean Sea and allowed assessment of the spatio-temporal variability of the three phytoplankton size classes (micro-, nano-, and pico-plankton) during the entire SeaWiFS era (1998&#x02013;2010). Previously, Navarro et al. (<xref ref-type="bibr" rid="B74">2014</xref>) had redefined the PHYSAT algorithm (Alvain et al., <xref ref-type="bibr" rid="B5">2005</xref>, <xref ref-type="bibr" rid="B4">2008</xref>) to the Mediterranean Sea&#x00027;s bio-optical characteristics to estimate the dominant functional phytoplankton types (<italic>Prochlorococcus, Synechococcus</italic>, diatoms, nanoeukaryotes, coccolithophorids, and <italic>Phaeocystis</italic>-like) from the MODIS sensor. More recently, Di Cicco et al. (<xref ref-type="bibr" rid="B32">2017</xref>) developed a new regional algorithm for satellite biomass estimates of PSC and PFT in Mediterranean Sea and assessed their accuracy with respect to global models, improving the uncertainty and the spread of about one order of magnitude for all phytoplankton classes.</p>
<p>Regarding the distribution of chlorophyll, low values (less 0.2 mg/m<sup>3</sup>) are found over vast areas of the basin, with the exception of large blooms observed in late winter and early spring in the North Western Mediterranean (Siokou-Frangou et al., <xref ref-type="bibr" rid="B88">2010</xref>). Mesoscale activity also increases the chlorophyll concentration mainly in the Alboran Sea, Balearic-Catalan Sea, Adriatic Sea and the South Eastern Levantine Sea, by about one order of magnitude for all phytoplankton classes. In other coastal areas close to major rives, such us the Po in the North Adriatic Sea, the Rhone in Gulf of Lions and the Nile in the Levantine Sea, and river discharge generates a large increase in chlorophyll levels (Siokou-Frangou et al., <xref ref-type="bibr" rid="B88">2010</xref>). In the eastern basin, the Chl<italic>a</italic> rarely exceeds 0.5 mg/m<sup>3</sup>, with minima as low as 0.003 mg/m<sup>3</sup> (Siokou-Frangou et al., <xref ref-type="bibr" rid="B88">2010</xref>). Low biomass values are generally associated with the dominance of cyanobacteria, prochlorophytes and picoplankton-sized flagellates (Siokou-Frangou et al., <xref ref-type="bibr" rid="B88">2010</xref> and references therein), and represents 59% of the total Chl<italic>a</italic> and 65% of the primary production. However, nanoflagellates are the dominant group in terms of cell numbers throughout most of the year in the Mediterranean Sea. Finally, observed increases in Chl<italic>a</italic> correlate with decreases in the contribution of picoplankton and nanoplankton, and increases in diatom concentration during February and March (Siokou-Frangou et al., <xref ref-type="bibr" rid="B88">2010</xref>).</p>
<p>Bracher et al. (<xref ref-type="bibr" rid="B12">2017</xref>) recently highlighted the limited applicability of global satellite algorithms to determine the composition of phytoplankton at a regional scale as one of the major gaps in satellite research. Accordingly, these authors suggest a roadmap for future developments in regionally adapted algorithms. The main goal of this paper is thus to bridge the gap diagnosed by Bracher et al. (<xref ref-type="bibr" rid="B12">2017</xref>) by updating and improving the original version of the PHYSAT-Med method (Navarro et al., <xref ref-type="bibr" rid="B74">2014</xref>) with the new OC-CCI database. Firstly, the advantages of this new version are: (a) an increase in the temporal range (1997&#x02013;2015; (b) a decrease of the cloud cover due to the use of several ocean color sensors; (c) an improvement in the bias correction, thus reducing sensitivity to medium-term changes; and (d) the validation of the temporal range in the NW Mediterranean Sea using diagnostic pigments analysis (DPA, Vidussi et al., <xref ref-type="bibr" rid="B100">2001</xref>). Secondly, wavelet analysis is applied to the retuned version in order to analyse the contributions of different temporal cycles of dominance variability of the major phytoplankton groups in the Mediterranean Sea.</p>
</sec>
<sec sec-type="materials and methods" id="s2">
<title>Materials and methods</title>
<sec>
<title>PHYSAT-Med OC-CCI algorithm</title>
<p>The OC-CCI is a long-term, consistent and error-characterized dataset generated from merged normalized remote-sensing reflectance derived from four satellite sensors: SeaWiFS, MODIS, MERIS, and VIIRS (Storm et al., <xref ref-type="bibr" rid="B90">2013</xref>; Jackson et al., <xref ref-type="bibr" rid="B51">in press</xref>). In this work, we have used OC-CCI v3.0, where more data have been included (VIIRS and SeaWiFS LAC). In addition, the bias correction has been improved, reducing sensitivity to medium-term changes and extending the method to work beyond the lifetime of SeaWiFS. Daily level 3 remote sensing reflectance data (Rrs) at 412, 443, 490, 510, 555, and 670 nm and diffuse attenuation coefficient (Kd<sub>490</sub>) were downloaded from the OC-CCI website covering the period from January 1998 to December 2015 (Figure <xref ref-type="fig" rid="F2">2</xref>, step 1). These products were displayed on a regular 4 km grid, with an equi-rectangular projection with constant longitude and latitude steps. Error specification (RMSE and bias) is based on comparison with match-up <italic>in situ</italic> data and extrapolation to global scale ocean.</p>
<fig id="F2" position="float">
<label>Figure 2</label>
<caption><p>Schematic view of steps of the PHYSAT-Med OC-CCI algorithm.</p></caption>
<graphic xlink:href="fmars-04-00246-g0002.tif"/>
</fig>
<p>In a second step (Figure <xref ref-type="fig" rid="F2">2</xref>, step 2), the Chl<italic>a</italic> concentration in the Mediterranean Sea was calculated using a regional algorithm (MedOC4, Mediterranean ocean color four-bands, Volpe et al., <xref ref-type="bibr" rid="B103">2007</xref>) developed for the basin for SeaWiFS bands (or CCI),</p>
<disp-formula id="E1"><label>(1)</label><mml:math id="M1"><mml:mtable class="eqnarray" columnalign="right center left"><mml:mtr><mml:mtd><mml:mi>M</mml:mi><mml:mi>e</mml:mi><mml:mi>d</mml:mi><mml:mi>O</mml:mi><mml:mi>C</mml:mi><mml:mn>4</mml:mn><mml:mo>-</mml:mo><mml:mi>C</mml:mi><mml:mi>h</mml:mi><mml:mi>l</mml:mi><mml:mi>a</mml:mi><mml:mo>=</mml:mo><mml:mtext>&#x000A0;</mml:mtext><mml:msup><mml:mrow><mml:mn>10</mml:mn></mml:mrow><mml:mrow><mml:mrow><mml:mo stretchy="false">(</mml:mo><mml:mrow><mml:mn>0</mml:mn><mml:mo>.</mml:mo><mml:mn>4424</mml:mn><mml:mtext>&#x000A0;</mml:mtext><mml:mo>-</mml:mo><mml:mtext>&#x000A0;</mml:mtext><mml:mn>3</mml:mn><mml:mo>.</mml:mo><mml:mn>686</mml:mn><mml:mi>R</mml:mi><mml:mtext>&#x000A0;</mml:mtext><mml:mo>&#x0002B;</mml:mo><mml:mtext>&#x000A0;</mml:mtext><mml:mn>1</mml:mn><mml:mo>.</mml:mo><mml:mn>076</mml:mn><mml:msup><mml:mrow><mml:mi>R</mml:mi></mml:mrow><mml:mrow><mml:mn>2</mml:mn></mml:mrow></mml:msup><mml:mtext>&#x000A0;</mml:mtext><mml:mo>&#x0002B;</mml:mo><mml:mtext>&#x000A0;</mml:mtext><mml:mn>1</mml:mn><mml:mo>.</mml:mo><mml:mn>684</mml:mn><mml:msup><mml:mrow><mml:mi>R</mml:mi></mml:mrow><mml:mrow><mml:mn>3</mml:mn></mml:mrow></mml:msup><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>437</mml:mn><mml:msup><mml:mrow><mml:mi>R</mml:mi></mml:mrow><mml:mrow><mml:mn>4</mml:mn></mml:mrow></mml:msup></mml:mrow><mml:mo stretchy="false">)</mml:mo></mml:mrow><mml:mtext>&#x000A0;</mml:mtext></mml:mrow></mml:msup></mml:mtd></mml:mtr></mml:mtable></mml:math></disp-formula>
<p>where</p>
<disp-formula id="E2"><label>(2)</label><mml:math id="M2"><mml:mtable class="eqnarray" columnalign="right center left"><mml:mtr><mml:mtd><mml:mi>R</mml:mi><mml:mo>=</mml:mo><mml:mtext>&#x000A0;</mml:mtext><mml:mi>l</mml:mi><mml:mi>o</mml:mi><mml:msub><mml:mrow><mml:mi>g</mml:mi></mml:mrow><mml:mrow><mml:mn>10</mml:mn></mml:mrow></mml:msub><mml:mrow><mml:mo>[</mml:mo><mml:mrow><mml:mi>M</mml:mi><mml:mi>A</mml:mi><mml:mi>X</mml:mi><mml:mrow><mml:mo stretchy="false">(</mml:mo><mml:mrow><mml:mi>R</mml:mi><mml:mi>r</mml:mi><mml:msubsup><mml:mrow><mml:mi>s</mml:mi></mml:mrow><mml:mrow><mml:mn>555</mml:mn></mml:mrow><mml:mrow><mml:mn>443</mml:mn></mml:mrow></mml:msubsup><mml:mtext>&#x000A0;</mml:mtext><mml:mo>,</mml:mo><mml:mtext>&#x000A0;</mml:mtext><mml:mi>R</mml:mi><mml:mi>r</mml:mi><mml:msubsup><mml:mrow><mml:mi>s</mml:mi></mml:mrow><mml:mrow><mml:mn>555</mml:mn></mml:mrow><mml:mrow><mml:mn>490</mml:mn></mml:mrow></mml:msubsup><mml:mtext>&#x000A0;</mml:mtext><mml:mo>,</mml:mo><mml:mtext>&#x000A0;</mml:mtext><mml:mi>R</mml:mi><mml:mi>r</mml:mi><mml:msubsup><mml:mrow><mml:mi>s</mml:mi></mml:mrow><mml:mrow><mml:mn>555</mml:mn></mml:mrow><mml:mrow><mml:mn>510</mml:mn></mml:mrow></mml:msubsup></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>
<p>This bio-optical algorithm is based on a fourth-power polynomial regression between log-transformed Chl<italic>a</italic> and log-transformed maximum band ratio (MBR). It is known that using multiple Rrs ratios decreases the noise-to-signal ratio, thereby enhancing the algorithm&#x00027;s performance (O&#x00027;Reilly et al., <xref ref-type="bibr" rid="B76">1998</xref>). The MedOC4 algorithm was calibrated on a representative open-water bio-optical dataset collected in the Mediterranean Sea, and is the best algorithm matching the requirement of unbiased satellite orophyll estimates (Volpe et al., <xref ref-type="bibr" rid="B103">2007</xref>; Santoleri et al., <xref ref-type="bibr" rid="B85">2008</xref>). At a global scale, the SeaWiFS algorithms have shown errors in the range of &#x0003C;5% for radiances and &#x0003C;35% for chlorophyll (Mueller and Austin, <xref ref-type="bibr" rid="B73">1995</xref>; Gregg and Casey, <xref ref-type="bibr" rid="B43">2004</xref>). The accuracy limit for chlorophyll using these standard algorithms has been shown to be unrealistic in Mediterranean Sea, yielding a severe overestimation (&#x0003E;70% for chlorophyll &#x0003C;0.2 mg/m<sup>3</sup>; Volpe et al., <xref ref-type="bibr" rid="B103">2007</xref>, <xref ref-type="bibr" rid="B102">2012</xref>).</p>
<p>At the third step (Figure <xref ref-type="fig" rid="F2">2</xref>), the Rrs was converted to nLw using the nominal band solar irradiance (Fo, in mW cm<sup>&#x02212;2</sup> &#x003BC;m<sup>&#x02212;1</sup>) for any specific spectral band (&#x003BB;) of the SeaWiFS sensor (Gregg et al., <xref ref-type="bibr" rid="B44">1993</xref>; Thuillier et al., <xref ref-type="bibr" rid="B92">2003</xref>).</p>
<disp-formula id="E3"><label>(3)</label><mml:math id="M3"><mml:mtable class="eqnarray" columnalign="right center left"><mml:mtr><mml:mtd><mml:mi>n</mml:mi><mml:mi>L</mml:mi><mml:msub><mml:mrow><mml:mi>w</mml:mi></mml:mrow><mml:mrow><mml:mrow><mml:mo stretchy="false">(</mml:mo><mml:mrow><mml:mo>&#x003BB;</mml:mo></mml:mrow><mml:mo stretchy="false">)</mml:mo></mml:mrow></mml:mrow></mml:msub><mml:mo>=</mml:mo><mml:mi>R</mml:mi><mml:mi>r</mml:mi><mml:msub><mml:mrow><mml:mi>s</mml:mi></mml:mrow><mml:mrow><mml:mtext>&#x000A0;</mml:mtext><mml:mrow><mml:mo stretchy="false">(</mml:mo><mml:mrow><mml:mo>&#x003BB;</mml:mo></mml:mrow><mml:mo stretchy="false">)</mml:mo></mml:mrow></mml:mrow></mml:msub><mml:mo>&#x0002A;</mml:mo><mml:mtext class="textrm" mathvariant="normal">&#x000A0;</mml:mtext><mml:msub><mml:mrow><mml:mi>F</mml:mi></mml:mrow><mml:mrow><mml:mi>o</mml:mi><mml:mrow><mml:mo stretchy="false">(</mml:mo><mml:mrow><mml:mo>&#x003BB;</mml:mo></mml:mrow><mml:mo stretchy="false">)</mml:mo></mml:mrow></mml:mrow></mml:msub></mml:mtd></mml:mtr></mml:mtable></mml:math></disp-formula>
<p>During step 4 (Figure <xref ref-type="fig" rid="F2">2</xref>), a new Look-Up-Table (LUT, Figure <xref ref-type="fig" rid="F3">3</xref> and Table <xref ref-type="supplementary-material" rid="SM1">1</xref> in Supplementary Material) of nLw<sup><italic>ref</italic></sup>(&#x003BB;, Chl<italic>a</italic>) was empirically generated for the Mediterranean Sea from a large dataset of OC-CCI Chl<italic>a</italic> and nLw pixels for all daily images contained within the study period (January 1998 to December 2015). Turbid pixels (defined as nLw555&#x0003E;1.3 mW cm<sup>&#x02212;2</sup> mm<sup>&#x02212;1</sup> sr<sup>&#x02212;1</sup>, Nezlin and DiGiacomo, <xref ref-type="bibr" rid="B75">2005</xref>) were excluded in order to minimize the impact of high-suspended matter loads. Briefly, nLw<sup><italic>ref</italic></sup> is calculated from nLw data, and the associated Chl<italic>a</italic> computed from the MedOC4 algorithm within the concentration range between 0.01 and 10 mg/m<sup>3</sup> (41 narrow intervals). This figure is similar to the one used in the development of the PHYSAT-Med algorithm (Navarro et al., <xref ref-type="bibr" rid="B74">2014</xref>).</p>
<fig id="F3" position="float">
<label>Figure 3</label>
<caption><p>Look-Up-Table for PHYSAT-Med OC-CCI algorithm. Normalized water-leaving radiance nLw as a function of wavelength for various MedOC4-Chla concentration (color scale, in mg/m<sup>3</sup>) for the Mediterranean Sea (excluding Black Sea) during the study period (January 1998&#x02013;December 2015).</p></caption>
<graphic xlink:href="fmars-04-00246-g0003.tif"/>
</fig>
<p>Once the new LUT (Figure <xref ref-type="fig" rid="F3">3</xref>, Table <xref ref-type="supplementary-material" rid="SM1">1</xref> in Supplementary Material) for the Mediterranean Sea was calculated using the regional MedOC4-Chl<italic>a</italic> algorithm, the radiance anomalies [Ra(&#x003BB;), see Figure <xref ref-type="fig" rid="F3">3</xref>, step 5] were computed for all daily OC-CCI wavelengths analyzed using Equation (4) for all available wavelengths (412, 443, 490, 510, 555, and 670 nm). Ra(&#x003BB;) is an adimensional parameter independent of the Chl<italic>a</italic> level, and hence also independent of the biomass. Ra(&#x003BB;) thus represents the second order variation in nLw(&#x003BB;) after removal of the first order effect of the Chl<italic>a</italic> variation (Alvain et al., <xref ref-type="bibr" rid="B5">2005</xref>):</p>
<disp-formula id="E4"><label>(4)</label><mml:math id="M4"><mml:mtable class="eqnarray" columnalign="right center left"><mml:mtr><mml:mtd><mml:mi>R</mml:mi><mml:msub><mml:mrow><mml:mi>a</mml:mi></mml:mrow><mml:mrow><mml:mrow><mml:mo stretchy="false">(</mml:mo><mml:mrow><mml:mo>&#x003BB;</mml:mo></mml:mrow><mml:mo stretchy="false">)</mml:mo></mml:mrow></mml:mrow></mml:msub><mml:msup><mml:mrow><mml:mo>=</mml:mo></mml:mrow><mml:mrow><mml:mi>n</mml:mi><mml:mi>L</mml:mi><mml:msub><mml:mrow><mml:mi>w</mml:mi></mml:mrow><mml:mrow><mml:mrow><mml:mo stretchy="false">(</mml:mo><mml:mrow><mml:mo>&#x003BB;</mml:mo></mml:mrow><mml:mo stretchy="false">)</mml:mo></mml:mrow></mml:mrow></mml:msub></mml:mrow></mml:msup><mml:msub><mml:mrow><mml:mo class="MathClass-ord">/</mml:mo></mml:mrow><mml:mrow><mml:mi>n</mml:mi><mml:mi>L</mml:mi><mml:msubsup><mml:mrow><mml:mi>w</mml:mi></mml:mrow><mml:mrow><mml:mrow><mml:mo stretchy="false">(</mml:mo><mml:mrow><mml:mo>&#x003BB;</mml:mo></mml:mrow><mml:mo stretchy="false">)</mml:mo></mml:mrow></mml:mrow><mml:mrow><mml:mi>r</mml:mi><mml:mi>e</mml:mi><mml:mi>f</mml:mi></mml:mrow></mml:msubsup></mml:mrow></mml:msub></mml:mtd></mml:mtr></mml:mtable></mml:math></disp-formula>
<p>The analyses by Alvain et al. (<xref ref-type="bibr" rid="B5">2005</xref>) showed that for a given Chl<italic>a</italic> concentration, the particle scattering variability explains the largest fraction of the remotely sensed Ra spectral variability, especially when focusing on Ra magnitude changes. The labellization step was performed using the thresholds of Ra for each of the six phytoplankton groups examined in PHYSAT-v2008 (see Table 5 in Alvain et al., <xref ref-type="bibr" rid="B4">2008</xref>), which is specifically set up for SeaWiFS channels. These thresholds were used to process daily images to calculate daily PFTs map (Figure <xref ref-type="fig" rid="F3">3</xref>, step 6). For a spectrum to be associated with one group, all criteria must be fulfilled. Thresholds (Table 5 in Alvain et al., <xref ref-type="bibr" rid="B4">2008</xref>) were fixed in order to avoid any overlapping. Pixels with nLw values that were not classified for any phytoplankton groups were cataloged as &#x0201C;unidentified (unid.),&#x0201D; and this can sum up a significant fraction (Navarro et al., <xref ref-type="bibr" rid="B74">2014</xref>). PHYSAT-Med retrieves the dominant group for a given satellite image pixel (4 km) for Mediterranean Sea, where a given phytoplankton group is the major contributor to the radiance anomaly. From this database (near to 6,600 daily images), 10-day and monthly maps of dominant phytoplankton groups were obtained by calculating the phytoplankton group that was present more days during the integration period (10-day or monthly, respectively) at each geographical pixel, not including &#x0201C;unidentified&#x0201D; pixels. To estimate the proportion of each phytoplankton group in the entire basin and several Mediterranean sub-regions (Alboran Sea, Ligurian Sea, Northern Adriatic Sea, and Levantine basin in Figure <xref ref-type="fig" rid="F1">1</xref>, Bricaud et al., <xref ref-type="bibr" rid="B18">2002</xref>), the number of the pixels of each PFT during 10-day or 1 month was calculated for each area in proportion to all the identified pixels, excluding the unidentified pixels. The box plot figures were created using Matlab&#x000AE; software (boxplot.m function), where the central mark corresponds to the median, the edges of the box are the 25th and 75th percentiles, the whiskers extend to the most extreme data points not considered outliers, and outliers are plotted individually. These statistics were calculated for each climatological month by considering all the values obtained during a particular month for the whole data series (from 1998 to 2015).</p>
</sec>
<sec>
<title><italic>In situ</italic> validation</title>
<p>In order to validate the PHYSAT-Med output, we have compared the temporal variability of PFT obtained from remote sensing algorithm with diagnostic pigments analysis (DPA, Vidussi et al., <xref ref-type="bibr" rid="B100">2001</xref>) obtained from HPLC in North-Western Mediterranean Sea. A total of 5,400 samples were collected from the basin and analyzed by HPLC (Figure <xref ref-type="fig" rid="F1">1</xref>). This dataset consisted of samples from the DYFAMED (Dynamics of Atmospheric Fluxes in the Mediterranean Sea) time series included in the MAREDAT global database of HPLC (Peloquin et al., <xref ref-type="bibr" rid="B77">2013</xref>) and the BOUSSOLE (Buoy for the acquisition of a Long-Term Optical Time Series) program (i.e., Antoine et al., <xref ref-type="bibr" rid="B7">2006</xref>). Details of HPLC methods used can be found in the aforementioned references. Here, we only considered samples limited to the first optical depth (Z<sub>90</sub>), which reduces the number of available pigment inventories to 1,615 samples and comprising the temporal range analyzed (1998&#x02013;2015). The first optical depth was calculated using daily Kd<sub>490</sub> images from OC-CCI data [Z<sub>90</sub> &#x0003D; 1/Kd<sub>490</sub>], which is about 15&#x02013;35 m on average in the Mediterranean Sea (D&#x00027;Ortenzio and Ribera d&#x00027;Alcal&#x000E1;, <xref ref-type="bibr" rid="B27">2009</xref>). The OC-CCI Kd<sub>490</sub> product is computed from the inherent optical properties (IOPs) at 490 nm (Lee et al., <xref ref-type="bibr" rid="B59">2005</xref>; Grant et al., <xref ref-type="bibr" rid="B42">2016</xref>).</p>
<p>This comparison is based on many pigments specific to individual phytoplankton taxa or groups (i.e., Gieskes et al., <xref ref-type="bibr" rid="B38">1988</xref>; Goericke and Repeta, <xref ref-type="bibr" rid="B40">1993</xref>; Claustre and Marty, <xref ref-type="bibr" rid="B23">1995</xref>; Jeffrey and Vesk, <xref ref-type="bibr" rid="B54">1997</xref>). For instance, Divinyl Chlorophyll-a (dChl<italic>a</italic>) is a typical marker of prochlorophytes (Goericke and Repeta, <xref ref-type="bibr" rid="B39">1992</xref>; Claustre and Marty, <xref ref-type="bibr" rid="B23">1995</xref>; Vidussi et al., <xref ref-type="bibr" rid="B100">2001</xref>), whereas zeaxanthin (Zeax) is associated with cyanobacteria (Guillard et al., <xref ref-type="bibr" rid="B46">1985</xref>). Fucoxanthin (Fuco) pigment is the principal marker of diatoms (Jeffrey, <xref ref-type="bibr" rid="B52">1980</xref>). For nanoplankton cuantification, Vidussi et al. (<xref ref-type="bibr" rid="B100">2001</xref>) used three diagnostic pigments: alloxanthin (Allox), that is a pigment typical of the cryptomonads (Gieskes and Kraay, <xref ref-type="bibr" rid="B37">1983</xref>); 19&#x02032;-hexanoyloxyfucoxanthin (HexFuco), whose concentration is related to prymnesiophytes and chromophytes nanoflagellates (Wright and Jeffrey, <xref ref-type="bibr" rid="B105">1987</xref>); and 19&#x02032;-butanoyloxyfucoxanthin (ButFuco), a typical marker of chromophytes nanoflagellates (Wright and Jeffrey, <xref ref-type="bibr" rid="B105">1987</xref>). Other pigments used in this method are total chlorophyll-b (TChlb, chlorophyll b &#x0002B; Divinyl-Chlorophyll b) and peridinin (Perid), which appears in small dinoflagellates (Jeffrey and Hallegraeff, <xref ref-type="bibr" rid="B53">1987</xref>). This approach has been used at global scale (Uitz et al., <xref ref-type="bibr" rid="B96">2006</xref>) and particularly in the Mediterranean Sea (i.e., Vidussi et al., <xref ref-type="bibr" rid="B100">2001</xref>; Marty et al., <xref ref-type="bibr" rid="B65">2002</xref>; Sammartino et al., <xref ref-type="bibr" rid="B84">2015</xref>; Di Cicco et al., <xref ref-type="bibr" rid="B32">2017</xref>; Mayot et al., <xref ref-type="bibr" rid="B68">2017</xref>).</p>
<p>In this study, we have compared the <italic>in situ</italic> chlorophyll concentration of nanoplankton and diatoms using the method recently applied to the Mediterranean Sea by Di Cicco et al. (<xref ref-type="bibr" rid="B32">2017</xref>). Following the DPA procedure, originally proposed by Vidussi et al. (<xref ref-type="bibr" rid="B100">2001</xref>) and later refined by Uitz et al. (<xref ref-type="bibr" rid="B96">2006</xref>) to scale diagnostic pigments to Chl<italic>a</italic>, it is possible to apply DPA-based approaches to satellite-derived Chl<italic>a</italic>:</p>
<disp-formula id="E5"><label>(5)</label><mml:math id="M5"><mml:mtable class="eqnarray" columnalign="right center left"><mml:mtr><mml:mtd><mml:mi>C</mml:mi><mml:mi>h</mml:mi><mml:mi>l</mml:mi><mml:msub><mml:mrow><mml:mi>a</mml:mi></mml:mrow><mml:mrow><mml:mi>d</mml:mi><mml:mi>i</mml:mi><mml:mi>a</mml:mi><mml:mi>t</mml:mi><mml:mi>o</mml:mi><mml:mi>m</mml:mi><mml:mi>s</mml:mi></mml:mrow></mml:msub><mml:mo>=</mml:mo><mml:mrow><mml:mo stretchy="false">(</mml:mo><mml:mrow><mml:mfrac><mml:mrow><mml:mn>1</mml:mn><mml:mo>.</mml:mo><mml:mn>60</mml:mn><mml:mtext>&#x000A0;</mml:mtext><mml:mrow><mml:mo>[</mml:mo><mml:mrow><mml:mi>F</mml:mi><mml:mi>u</mml:mi><mml:mi>c</mml:mi><mml:mi>o</mml:mi></mml:mrow><mml:mo>]</mml:mo></mml:mrow></mml:mrow><mml:mrow><mml:mo>&#x003A3;</mml:mo><mml:mi>D</mml:mi><mml:mi>P</mml:mi><mml:mi>W</mml:mi></mml:mrow></mml:mfrac></mml:mrow><mml:mo stretchy="false">)</mml:mo></mml:mrow><mml:mtext>&#x000A0;</mml:mtext><mml:mi>x</mml:mi><mml:mtext>&#x000A0;</mml:mtext><mml:mi>C</mml:mi><mml:mi>h</mml:mi><mml:mi>l</mml:mi><mml:mi>a</mml:mi></mml:mtd></mml:mtr></mml:mtable></mml:math></disp-formula>
<disp-formula id="E6"><label>(6)</label><mml:math id="M6"><mml:mtable class="eqnarray" columnalign="right center left"><mml:mtr><mml:mtd><mml:mi>C</mml:mi><mml:mi>h</mml:mi><mml:mi>l</mml:mi><mml:msub><mml:mrow><mml:mi>a</mml:mi></mml:mrow><mml:mrow><mml:mi>n</mml:mi><mml:mi>a</mml:mi><mml:mi>n</mml:mi><mml:mi>o</mml:mi></mml:mrow></mml:msub><mml:mo>=</mml:mo><mml:mrow><mml:mo stretchy="false">(</mml:mo><mml:mrow><mml:mfrac><mml:mrow><mml:mn>1</mml:mn><mml:mo>.</mml:mo><mml:mn>18</mml:mn><mml:mrow><mml:mo>[</mml:mo><mml:mrow><mml:mi>H</mml:mi><mml:mi>e</mml:mi><mml:mi>x</mml:mi><mml:mi>F</mml:mi><mml:mi>u</mml:mi><mml:mi>c</mml:mi><mml:mi>o</mml:mi></mml:mrow><mml:mo>]</mml:mo></mml:mrow><mml:mo>&#x0002B;</mml:mo><mml:mn>0</mml:mn><mml:mo>.</mml:mo><mml:mn>57</mml:mn><mml:mtext>&#x000A0;</mml:mtext><mml:mrow><mml:mo>[</mml:mo><mml:mrow><mml:mi>B</mml:mi><mml:mi>u</mml:mi><mml:mi>t</mml:mi><mml:mi>F</mml:mi><mml:mi>u</mml:mi><mml:mi>c</mml:mi><mml:mi>o</mml:mi></mml:mrow><mml:mo>]</mml:mo></mml:mrow><mml:mo>&#x0002B;</mml:mo><mml:mn>2</mml:mn><mml:mo>.</mml:mo><mml:mn>70</mml:mn><mml:mtext>&#x000A0;</mml:mtext><mml:mrow><mml:mo>[</mml:mo><mml:mrow><mml:mi>A</mml:mi><mml:mi>l</mml:mi><mml:mi>l</mml:mi><mml:mi>o</mml:mi></mml:mrow><mml:mo>]</mml:mo></mml:mrow></mml:mrow><mml:mrow><mml:mo>&#x003A3;</mml:mo><mml:mi>D</mml:mi><mml:mi>P</mml:mi><mml:mi>W</mml:mi></mml:mrow></mml:mfrac></mml:mrow><mml:mo stretchy="false">)</mml:mo></mml:mrow></mml:mtd></mml:mtr><mml:mtr><mml:mtd><mml:mtext>&#x000A0;</mml:mtext><mml:mi>x</mml:mi><mml:mtext>&#x000A0;</mml:mtext><mml:mi>C</mml:mi><mml:mi>h</mml:mi><mml:mi>l</mml:mi><mml:mi>a</mml:mi><mml:mtext>&#x000A0;if&#x000A0;TChla</mml:mtext><mml:mo>&#x0003E;</mml:mo><mml:mn>0</mml:mn><mml:mo>.</mml:mo><mml:mn>08</mml:mn><mml:mtext>&#x000A0;</mml:mtext><mml:mi>m</mml:mi><mml:mi>g</mml:mi><mml:mo>/</mml:mo><mml:msup><mml:mrow><mml:mi>m</mml:mi></mml:mrow><mml:mrow><mml:mn>3</mml:mn></mml:mrow></mml:msup></mml:mtd></mml:mtr></mml:mtable></mml:math></disp-formula>
<disp-formula id="E8"><label>(7)</label><mml:math id="M8"><mml:mtable class="eqnarray" columnalign="right center left"><mml:mtr><mml:mtd><mml:mi>C</mml:mi><mml:mi>h</mml:mi><mml:mi>l</mml:mi><mml:msub><mml:mrow><mml:mi>a</mml:mi></mml:mrow><mml:mrow><mml:mi>n</mml:mi><mml:mi>a</mml:mi><mml:mi>n</mml:mi><mml:mi>o</mml:mi></mml:mrow></mml:msub><mml:mo>=</mml:mo><mml:mrow><mml:mo stretchy="false">(</mml:mo><mml:mrow><mml:mfrac><mml:mrow><mml:mtable style="text-align:axis;" equalrows="false" columnlines="none none none none none none none none none" equalcolumns="false" class="array"><mml:mtr><mml:mtd><mml:mn>12</mml:mn><mml:mo>.</mml:mo><mml:mn>5</mml:mn><mml:mtext>&#x000A0;</mml:mtext><mml:mrow><mml:mo>[</mml:mo><mml:mrow><mml:mi>T</mml:mi><mml:mi>C</mml:mi><mml:mi>h</mml:mi><mml:mi>l</mml:mi><mml:mi>a</mml:mi></mml:mrow><mml:mo>]</mml:mo></mml:mrow></mml:mtd></mml:mtr><mml:mtr><mml:mtd><mml:mo>&#x0002B;</mml:mo><mml:mn>1</mml:mn><mml:mo>.</mml:mo><mml:mn>18</mml:mn><mml:mrow><mml:mo>[</mml:mo><mml:mrow><mml:mi>H</mml:mi><mml:mi>e</mml:mi><mml:mi>x</mml:mi><mml:mi>F</mml:mi><mml:mi>u</mml:mi><mml:mi>c</mml:mi><mml:mi>o</mml:mi></mml:mrow><mml:mo>]</mml:mo></mml:mrow><mml:mo>&#x0002B;</mml:mo><mml:mn>0</mml:mn><mml:mo>.</mml:mo><mml:mn>57</mml:mn><mml:mtext>&#x000A0;</mml:mtext><mml:mrow><mml:mo>[</mml:mo><mml:mrow><mml:mi>B</mml:mi><mml:mi>u</mml:mi><mml:mi>t</mml:mi><mml:mi>F</mml:mi><mml:mi>u</mml:mi><mml:mi>c</mml:mi><mml:mi>o</mml:mi></mml:mrow><mml:mo>]</mml:mo></mml:mrow><mml:mo>&#x0002B;</mml:mo><mml:mn>2</mml:mn><mml:mo>.</mml:mo><mml:mn>70</mml:mn><mml:mtext>&#x000A0;</mml:mtext><mml:mrow><mml:mo>[</mml:mo><mml:mrow><mml:mi>A</mml:mi><mml:mi>l</mml:mi><mml:mi>l</mml:mi><mml:mi>o</mml:mi></mml:mrow><mml:mo>]</mml:mo></mml:mrow></mml:mtd></mml:mtr></mml:mtable></mml:mrow><mml:mrow><mml:mo>&#x003A3;</mml:mo><mml:mi>D</mml:mi><mml:mi>P</mml:mi><mml:mi>W</mml:mi></mml:mrow></mml:mfrac></mml:mrow><mml:mo stretchy="false">)</mml:mo></mml:mrow></mml:mtd></mml:mtr><mml:mtr><mml:mtd><mml:mtext>&#x000A0;</mml:mtext><mml:mi>x</mml:mi><mml:mtext>&#x000A0;</mml:mtext><mml:mi>C</mml:mi><mml:mi>h</mml:mi><mml:mi>l</mml:mi><mml:mi>a</mml:mi><mml:mtext>&#x000A0;if&#x000A0;TChla</mml:mtext><mml:mo>&#x0003C;</mml:mo><mml:mn>0</mml:mn><mml:mo>.</mml:mo><mml:mn>08</mml:mn><mml:mtext>&#x000A0;</mml:mtext><mml:mi>m</mml:mi><mml:mi>g</mml:mi><mml:mo>/</mml:mo><mml:msup><mml:mrow><mml:mi>m</mml:mi></mml:mrow><mml:mrow><mml:mn>3</mml:mn></mml:mrow></mml:msup></mml:mtd></mml:mtr></mml:mtable></mml:math></disp-formula>
<p>where</p>
<disp-formula id="E10"><label>(8)</label><mml:math id="M10"><mml:mtable class="eqnarray" columnalign="right center left"><mml:mtr><mml:mtd><mml:mo>&#x003A3;</mml:mo><mml:mi>D</mml:mi><mml:mi>P</mml:mi><mml:mi>W</mml:mi><mml:mo>=</mml:mo><mml:mtext>&#x000A0;</mml:mtext><mml:mn>1</mml:mn><mml:mo>.</mml:mo><mml:mn>18</mml:mn><mml:mrow><mml:mo>[</mml:mo><mml:mrow><mml:mi>H</mml:mi><mml:mi>e</mml:mi><mml:mi>x</mml:mi><mml:mi>F</mml:mi><mml:mi>u</mml:mi><mml:mi>c</mml:mi><mml:mi>o</mml:mi></mml:mrow><mml:mo>]</mml:mo></mml:mrow><mml:mo>&#x0002B;</mml:mo><mml:mn>0</mml:mn><mml:mo>.</mml:mo><mml:mn>57</mml:mn><mml:mtext>&#x000A0;</mml:mtext><mml:mrow><mml:mo>[</mml:mo><mml:mrow><mml:mi>B</mml:mi><mml:mi>u</mml:mi><mml:mi>t</mml:mi><mml:mi>F</mml:mi><mml:mi>u</mml:mi><mml:mi>c</mml:mi><mml:mi>o</mml:mi></mml:mrow><mml:mo>]</mml:mo></mml:mrow><mml:mo>&#x0002B;</mml:mo><mml:mn>2</mml:mn><mml:mo>.</mml:mo><mml:mn>70</mml:mn><mml:mtext>&#x000A0;</mml:mtext><mml:mrow><mml:mo>[</mml:mo><mml:mrow><mml:mi>A</mml:mi><mml:mi>l</mml:mi><mml:mi>l</mml:mi><mml:mi>o</mml:mi></mml:mrow><mml:mo>]</mml:mo></mml:mrow><mml:mtext>&#x000A0;</mml:mtext></mml:mtd></mml:mtr><mml:mtr><mml:mtd><mml:mo>&#x0002B;</mml:mo><mml:mn>1</mml:mn><mml:mo>.</mml:mo><mml:mn>67</mml:mn><mml:mrow><mml:mo>[</mml:mo><mml:mrow><mml:mi>P</mml:mi><mml:mi>e</mml:mi><mml:mi>r</mml:mi><mml:mi>i</mml:mi><mml:mi>d</mml:mi></mml:mrow><mml:mo>]</mml:mo></mml:mrow><mml:mo>&#x0002B;</mml:mo><mml:mn>1</mml:mn><mml:mo>.</mml:mo><mml:mtext>&#x000A0;</mml:mtext><mml:mn>60</mml:mn><mml:mrow><mml:mo>[</mml:mo><mml:mrow><mml:mi>F</mml:mi><mml:mi>u</mml:mi><mml:mi>c</mml:mi><mml:mi>o</mml:mi></mml:mrow><mml:mo>]</mml:mo></mml:mrow><mml:mo>&#x0002B;</mml:mo><mml:mn>0</mml:mn><mml:mo>.</mml:mo><mml:mn>88</mml:mn><mml:mtext>&#x000A0;</mml:mtext><mml:mrow><mml:mo>[</mml:mo><mml:mrow><mml:mi>T</mml:mi><mml:mi>C</mml:mi><mml:mi>h</mml:mi><mml:mi>l</mml:mi><mml:mi>b</mml:mi></mml:mrow><mml:mo>]</mml:mo></mml:mrow></mml:mtd></mml:mtr><mml:mtr><mml:mtd><mml:mo>&#x0002B;</mml:mo><mml:mn>1</mml:mn><mml:mo>.</mml:mo><mml:mn>79</mml:mn><mml:mrow><mml:mo>[</mml:mo><mml:mrow><mml:mi>Z</mml:mi><mml:mi>e</mml:mi><mml:mi>a</mml:mi><mml:mi>x</mml:mi></mml:mrow><mml:mo>]</mml:mo></mml:mrow></mml:mtd></mml:mtr></mml:mtable></mml:math></disp-formula>
<p>Alternatively, the method described by Alvain et al. (<xref ref-type="bibr" rid="B5">2005</xref>) was used to compare <italic>Prochlorococcus</italic> and <italic>Synechococcus</italic> time series, as this method uses the pigment ratio of divinyl-Chl<italic>a</italic> and zeaxanthin, respectively, and has been applied previously for the Mediterranean Sea (Navarro et al., <xref ref-type="bibr" rid="B74">2014</xref>):</p>
<disp-formula id="E12"><label>(9)</label><mml:math id="M12"><mml:mtable class="eqnarray" columnalign="right center left"><mml:mtr><mml:mtd><mml:msub><mml:mrow><mml:mi>P</mml:mi></mml:mrow><mml:mrow><mml:mi>r</mml:mi><mml:mi>e</mml:mi><mml:mi>l</mml:mi></mml:mrow></mml:msub><mml:msup><mml:mrow><mml:mo>=</mml:mo></mml:mrow><mml:mrow><mml:mi>P</mml:mi></mml:mrow></mml:msup><mml:msub><mml:mrow><mml:mo class="MathClass-ord">/</mml:mo></mml:mrow><mml:mrow><mml:mrow><mml:mo stretchy="false">(</mml:mo><mml:mrow><mml:mi>C</mml:mi><mml:mi>h</mml:mi><mml:mi>l</mml:mi><mml:mi>a</mml:mi><mml:mtext>&#x000A0;</mml:mtext><mml:mo>&#x0002B;</mml:mo><mml:mtext>&#x000A0;</mml:mtext><mml:mi>d</mml:mi><mml:mi>C</mml:mi><mml:mi>h</mml:mi><mml:mi>l</mml:mi><mml:mi>a</mml:mi></mml:mrow><mml:mo stretchy="false">)</mml:mo></mml:mrow></mml:mrow></mml:msub></mml:mtd></mml:mtr></mml:mtable></mml:math></disp-formula>
<p>where P is the measured pigment concentration (dChl<italic>a</italic> or zeaxhantin), and Chl<italic>a</italic> and dChl<italic>a</italic> are the concentrations of chlorophyll-<italic>a</italic> and divinyl Chlorophyll-<italic>a</italic>, respectively.</p>
<p>As HPLC and PHYSAT-Med OC-CCI output data are measured in different units, we used Spearman&#x00027;s rank-order (non-parametric) correlations to assess the strength of the temporal association between both variables for each of the phytoplankton functional types. We used 10,000 bootstrap samples to construct 90% empirical confidence intervals for the correlations (Efron and Tibshirani, <xref ref-type="bibr" rid="B34">1993</xref>). In order to check for possible time lags between the timing of seasonal blooms within the Ligurian Sea, as measured with both methods, we inspected the effect of different time lags in both variables on the strength of the association.</p>
</sec>
<sec>
<title>Wavelet analysis</title>
<p>Wavelet analysis has emerged as a tool for characterizing periodicities in non-stationary time series, as it decomposes a time series both in the frequency and time domains (Percival and Walden, <xref ref-type="bibr" rid="B78">2000</xref>). In this study, wavelet analysis has been used to characterize the different periodic components of the variability in dominance of the major phytoplankton groups in the Mediterranean Sea across time. Wavelet analysis performs a time-scale decomposition of the signal by estimating its frequency characteristics as a function of time (Torrence and Compo, <xref ref-type="bibr" rid="B94">1998</xref>; Grinsted et al., <xref ref-type="bibr" rid="B45">2004</xref>; Winder and Cloern, <xref ref-type="bibr" rid="B104">2010</xref>). In order to normalize time series data and obtain the wavelet power spectrum of the different phytoplankton groups, the continuous Morlet wavelet transform was applied by using the Matlab&#x000AE; toolbox provided by Torrence and Compo (<xref ref-type="bibr" rid="B94">1998</xref>) and Grinsted et al. (<xref ref-type="bibr" rid="B45">2004</xref>) (<ext-link ext-link-type="uri" xlink:href="http://atoc.Colorado.edu/research/wavelets/">http://atoc.Colorado.edu/research/wavelets/</ext-link>). The wavelet power spectrum identifies the periods that are the most important sources of variability across time. Additionally, it is possible to define a global wavelet spectrum, which identifies the variance associated to each period for a given time series, and is similar to Fourier spectra (Percival and Walden, <xref ref-type="bibr" rid="B78">2000</xref>). Wavelet analysis was performed over the 10-day times series of nanoeukaryotes, <italic>Prochlorococcus, Synechococcus</italic>-like cyanobacteria and diatoms for the entire Mediterranean Sea and for four selected sub-regions (Alboran Sea, Liguarian Sea, Northern Adriatic Sea and Levantine sea).</p>
</sec>
</sec>
<sec id="s3">
<title>Results and discussion</title>
<sec>
<title>Validation</title>
<p>Figure <xref ref-type="fig" rid="F4">4</xref> shows the temporal variability of several diagnostic pigments and PFT in the Ligurian Sea, where DYFAMED and BOUSSOLE sampling stations are located. The comparison exercise covers all range of the PFT analyzed, except for zeaxanthin pigment for which there were no values during 1998. <italic>Prochlorococcus</italic> showed maximum values in autumn over several years, at the end of the stratification period (Figure <xref ref-type="fig" rid="F4">4A</xref>). The maxima found by the PHYSAT-Med OC-CCI algorithm were in close agreement with the maxima in the concentrations of the pigment ratio for dChl<italic>a</italic> measured by HPLC method, which is indicative of prochlorophytes (Goericke and Repeta, <xref ref-type="bibr" rid="B39">1992</xref>; Claustre and Marty, <xref ref-type="bibr" rid="B23">1995</xref>; Vidussi et al., <xref ref-type="bibr" rid="B100">2001</xref>). These results agree with the pattern reported by Vaulot et al. (<xref ref-type="bibr" rid="B99">1990</xref>) and Marty et al. (<xref ref-type="bibr" rid="B65">2002</xref>) estimated by flow cytometry and HPLC analysis, respectively. During summer, also coinciding with the stratification period, the dominant group is <italic>Synechococcus</italic>, and a maximum in zeaxanthin concentration is observed across the basin all years (Figure <xref ref-type="fig" rid="F4">4B</xref>). This pigment is associated with cyanobacteria (Guillard et al., <xref ref-type="bibr" rid="B46">1985</xref>) and has been widely used to estimate <italic>Synechococcus</italic> concentration in the Ligurian Sea (Vidussi et al., <xref ref-type="bibr" rid="B100">2001</xref>; Marty et al., <xref ref-type="bibr" rid="B65">2002</xref>). However, during the spring bloom period, when the mixed layer depth is at its maximum (Marty et al., <xref ref-type="bibr" rid="B65">2002</xref>), the diatom group and diatom Chl<italic>a</italic> concentration also reached its highest value (Figure <xref ref-type="fig" rid="F4">4C</xref>). Finally, the nanoeukaryotes distribution presented maxima during winter, normally around January, coinciding with the maximum of nanoplankton chlorophyll concentration estimated using Equations 6 and 7 (Figure <xref ref-type="fig" rid="F4">4D</xref>; Di Cicco et al., <xref ref-type="bibr" rid="B32">2017</xref>). Overall, the broad coincidence between PHYSAT-Med outputs and HPLC pigments in the temporal pattern suggests that the new version of PHYSAT-Med algorithm using OC-CCI v3.0 database is in agreement with the results obtained through long-term monitoring programs for phytoplankton distribution, at least in the Ligurian Sea area.</p>
<fig id="F4" position="float">
<label>Figure 4</label>
<caption><p>Temporal percentage (10-day) of each PFT (black bars, left axis) and diagnostic pigments (DYFAMED&#x02013;red dots and BOUSSOLE&#x02013;green dots, right axis) in the Ligurian Sea. <bold>(A)</bold> <italic>Prochlorococcus</italic> and Divinyl-Chl<italic>a</italic>. <bold>(B)</bold> <italic>Synechococcus</italic> and zeaxanthin. <bold>(C)</bold> Diatoms and Chl<italic>a</italic><sub>diatom</sub>. <bold>(C)</bold> Nanoeucaryotes and Chl<italic>a</italic><sub>nano</sub>.</p></caption>
<graphic xlink:href="fmars-04-00246-g0004.tif"/>
</fig>
<p>Even though the OC-CCI database provided per-pixel errors (RMSE and bias) for all OC-CCI products, this approach is not so common in retrieving phytoplankton functional types, except for the recent works published by Brewin et al. (<xref ref-type="bibr" rid="B14">2017</xref>) and Di Cicco et al. (<xref ref-type="bibr" rid="B32">2017</xref>) for the Mediterranean Sea. In fact, Di Cicco et al. (<xref ref-type="bibr" rid="B32">2017</xref>) showed the improvements obtained from the use of regional models with respect to the global models, with the reduction of bias being of about one order of magnitude. As we described above, the PHYSAT algorithm allows for the detection of dominant PFT. This approach is based on the analysis of the second order variation in nLw measurements after removal of the impact of Chl<italic>a</italic> variation. Alvain et al. (<xref ref-type="bibr" rid="B3">2012</xref>) found acceptable results for diatoms (73%) and nanoeucaryotes (82%), but relatively low for <italic>Prochlorococcus</italic> and cyanobacteria (61 and 57% of successful identification, respectively). For PHYSAT-Med, Navarro et al. (<xref ref-type="bibr" rid="B74">2014</xref>) found similar results for <italic>Synechococcus</italic> and nanoeucaryotes (61 and 74%, respectively).</p>
<p>Table <xref ref-type="table" rid="T1">1</xref> shows the results of the validation exercise. For both nanoeucaryotes and diatoms the correlation between the PHYSAT-Med OC-CCI and the HPLC data is relatively large, with narrow bootstrapped confidence intervals non-overlapping 0. For <italic>Synechococcus</italic> the correlation is weaker but, again, the confidence interval does not contain 0. In contrast, for <italic>Prochlorococcus</italic> the association between PHYSAT-Med and HPLC data is weaker, and now the 0 is included within the confidence interval. In this later case, the sample size is clearly lower. The reason might be that the largest <italic>Prochlorococcus</italic> abundance is located near the deep chlorophyll maximum, deeper than the first optical depth (Siokou-Frangou et al., <xref ref-type="bibr" rid="B88">2010</xref>).</p>
<table-wrap position="float" id="T1">
<label>Table 1</label>
<caption><p>Validation results of the PHYSAT-Med dataset with HPLC data from the Ligurian Sea.</p></caption>
<table frame="hsides" rules="groups">
<thead><tr>
<th valign="top" align="left"><bold>Functional type</bold></th>
<th valign="top" align="center"><bold>Sample size</bold></th>
<th valign="top" align="center"><bold><italic>r</italic><sub>s</sub></bold></th>
<th valign="top" align="center"><bold>90% B.C.I</bold>.</th>
</tr>
</thead>
<tbody>
<tr>
<td valign="top" align="left">Nanoeucaryotes</td>
<td valign="top" align="center">231</td>
<td valign="top" align="center">0.426</td>
<td valign="top" align="center">0.339 &#x02013; 0.509</td>
</tr>
<tr>
<td valign="top" align="left">Diatoms</td>
<td valign="top" align="center">228</td>
<td valign="top" align="center">0.397</td>
<td valign="top" align="center">0.299 &#x02013; 0.491</td>
</tr>
<tr>
<td valign="top" align="left"><italic>Synechococcus</italic></td>
<td valign="top" align="center">234</td>
<td valign="top" align="center">0.112</td>
<td valign="top" align="center">0.019 &#x02013; 0.204</td>
</tr>
<tr>
<td valign="top" align="left"><italic>Prochlorococcus</italic></td>
<td valign="top" align="center">115</td>
<td valign="top" align="center">&#x02212;0.133</td>
<td valign="top" align="center">&#x02212;0.272 &#x02013; 0.008</td>
</tr>
</tbody>
</table>
<table-wrap-foot>
<p><italic>Shown are the sample size of the time series used, the Spearman&#x00027;s rank-order correlation between both time series (r<sub>s</sub>) and the 90% bootstrapped confidence interval. 10,000 bootstrapped samples of the original series were used to construct the intervals</italic>.</p>
</table-wrap-foot>
</table-wrap>
</sec>
<sec>
<title>Spatio-temporal patterns at the basin scale</title>
<p>Figure <xref ref-type="fig" rid="F5">5</xref> shows the monthly climatology (1998&#x02013;2015) of the dominant phytoplankton groups in the Mediterranean Sea obtained with the OC-CCI database. These patterns are similar to those obtained by Navarro et al. (<xref ref-type="bibr" rid="B74">2014</xref>) using the PHYSAT-Med and the MODIS imagery for the period comprised from July 2002 to May 2013. In addition, the analysis of the PFT is consistent with the previous knowledge of this area (Siokou-Frangou et al., <xref ref-type="bibr" rid="B88">2010</xref>; Uitz et al., <xref ref-type="bibr" rid="B97">2012</xref>; Sammartino et al., <xref ref-type="bibr" rid="B84">2015</xref>; Di Cicco et al., <xref ref-type="bibr" rid="B32">2017</xref>). It is evident that <italic>Synechococcus</italic> is the most abundant group detected at the basin scale and particularly during spring-summer months, whereas nanoeukaryotes seem to dominate during autumn-winter months. <italic>Prochlorococcus</italic> is preferentially distinguished during February and October in offshore waters, in opposition to diatoms that prevail in coastal areas, such as the Gulf of Lions, the Ligurian Sea and the northern Adriatic Sea, and mostly during the spring season. This last finding agrees with the microplankton distribution provided by Sammartino et al. (<xref ref-type="bibr" rid="B84">2015</xref>) and Di Cicco et al. (<xref ref-type="bibr" rid="B32">2017</xref>) who concluded that the fraction of microplankton significantly increases in the Northwestern Mediterranean Sea, reaching values from 30 to 57% (Sammartino et al., <xref ref-type="bibr" rid="B84">2015</xref>). The presence of coccolithophorids in the basin is particularly evident along the Mediterranean coastline and particularly in the surroundings of the large river mouths (Ebro, Rhone and Nile) and in the Adriatic Sea (Figure <xref ref-type="fig" rid="F5">5</xref>). However, it is worthy to highlight that fluvial inputs of terrestrial matter or suspended solids may slightly mask the signals and affect phytoplankton distribution (Navarro et al., <xref ref-type="bibr" rid="B74">2014</xref>). Even though PHYSAT-Med is also appropriate for detecting <italic>Phaeocyctis</italic>-like phytoplankton, no signal of this group was found in the current study. These spatio-temporal patterns were subsequently corroborated by the time series of monthly climatology (Figures <xref ref-type="fig" rid="F6">6B</xref>, <xref ref-type="fig" rid="F7">7B</xref>, <xref ref-type="fig" rid="F8">8B</xref>, and <xref ref-type="fig" rid="F9">9B</xref>) although only nanoeukaryotes, <italic>Prochlorococcus, Synechococcus</italic>-like cyanobacteria and diatoms were considered because these groups were compared with <italic>in situ</italic> pigment markers (Figure <xref ref-type="fig" rid="F4">4</xref>).</p>
<fig id="F5" position="float">
<label>Figure 5</label>
<caption><p>Monthly climatology of the dominant phytoplankton groups detected by PHYSAT-Med OC-CCI during the study period (January 1998&#x02013;December 2015).</p></caption>
<graphic xlink:href="fmars-04-00246-g0005.tif"/>
</fig>
<fig id="F6" position="float">
<label>Figure 6</label>
<caption><p>Temporal patterns of variability for nanoeukaryotes for Mediterranean Sea. <bold>(A)</bold> Temporal percentage (10-day) of nanoeukaryotes. <bold>(B)</bold> Box plot (red lines stand for the median, blue box spans from the first to the second quartiles, and black lines represent 5th and 95th percentiles, respectively) of monthly climatology of nanoeukaryotes. <bold>(C)</bold> Continuous wavelet power spectrum for the 10-day time series. Red line indicates the cone of influence, and is the region affected by the edges of the data and should not be considered. <bold>(D)</bold> Global wavelet spectrum for the 10-day time series.</p></caption>
<graphic xlink:href="fmars-04-00246-g0006.tif"/>
</fig>
<fig id="F7" position="float">
<label>Figure 7</label>
<caption><p>Temporal patterns of variability for <italic>Synechococcus</italic> for Mediterranean Sea. <bold>(A)</bold> Temporal percentage (10-day) of <italic>Synechococcus</italic>. <bold>(B)</bold> Box plot (red lines stand for the median, blue box spans from the first to the second quartiles, and black lines represent 5th and 95th percentiles, respectively) of monthly climatology of <italic>Synechococcus</italic>. <bold>(C)</bold> Continuous wavelet power spectrum for the 10-day time series. Red line indicates the cone of influence, and is the region affected by the edges of the data and should not be considered. <bold>(D)</bold> Global wavelet spectrum for the 10-day time series.</p></caption>
<graphic xlink:href="fmars-04-00246-g0007.tif"/>
</fig>
<fig id="F8" position="float">
<label>Figure 8</label>
<caption><p>Temporal patterns of variability for <italic>Prochlorococcus</italic> for Mediterranean Sea. <bold>(A)</bold> Temporal percentage (10-day) of <italic>Prochlorococcus</italic>. <bold>(B)</bold> Box plot (red lines stand for the median, blue box spans from the first to the second quartiles, and black lines represent 5th and 95th percentiles, respectively) of monthly climatology of <italic>Prochlorococcus</italic>. <bold>(C)</bold> Continuous wavelet power spectrum for the 10-day time series. Red line indicates the cone of influence, and is the region affected by the edges of the data and should not be considered. <bold>(D)</bold> Global wavelet spectrum for the 10-day time series.</p></caption>
<graphic xlink:href="fmars-04-00246-g0008.tif"/>
</fig>
<fig id="F9" position="float">
<label>Figure 9</label>
<caption><p>Temporal patterns of variability for diatoms for Mediterranean Sea. <bold>(A)</bold> Temporal percentage (10-day) of diatoms. <bold>(B)</bold> Box plot (red lines stand for the median, blue box spans from the first to the second quartiles, and black lines represent 5th and 95th percentiles, respectively) of monthly climatology of diatoms. <bold>(C)</bold> Continuous wavelet power spectrum for the 10-day time series. Red line indicates the cone of influence, and is the region affected by the edges of the data and should not be considered. <bold>(D)</bold> Global wavelet spectrum for the 10-day time series.</p></caption>
<graphic xlink:href="fmars-04-00246-g0009.tif"/>
</fig>
<p>The abundance of nanoeukaryotes in the Mediterranean Sea (Figure <xref ref-type="fig" rid="F6">6A</xref>) follows recurrent 12-months cycles across time, as suggested by the power of the wavelet spectrum at this cycle (Figure <xref ref-type="fig" rid="F6">6C</xref>). Some weaker 6-months cyclic components can be observed during certain particular years (2003, 2006&#x02013;2014). The mean annual cycle or the monthly climatology for this group (Figure <xref ref-type="fig" rid="F6">6B</xref>) showed a maximum percentage of abundance during the winter months, mainly November, December and January. The global wavelet spectrum (Figure <xref ref-type="fig" rid="F6">6D</xref>) demonstrated that the 12-months periodicity was highly significant, with a minor peak at 6-months also contributing to the variance. The amplitude of the seasonal variations of nanoeukaryotes at a basin scale is similar to that described by Sammartino et al. (<xref ref-type="bibr" rid="B84">2015</xref>) and Di Cicco et al. (<xref ref-type="bibr" rid="B32">2017</xref>), who found minimum values of abundance for nanoplankton during summer and maximum during winter, when the mixed layer depth (MLD) is also deeper (Siokou-Frangou et al., <xref ref-type="bibr" rid="B88">2010</xref>). In the Levantine basin this group was the second most abundant in terms of Chl<italic>a</italic>, but it was the main group in the western basin (Di Cicco et al., <xref ref-type="bibr" rid="B32">2017</xref>). Nanoplankton make a dominant contribution (up to 43&#x02013;50%) to total primary production throughout the year at the basin scale (Uitz et al., <xref ref-type="bibr" rid="B97">2012</xref>).</p>
<p>For <italic>Synechococcus</italic> the wavelet power spectrum also revealed a persistent 12-months periodicity (Figures <xref ref-type="fig" rid="F7">7C,D</xref>), with virtually no secondary 6-months cycles. The higher percentages of <italic>Synechococcus</italic> abundance were effectively observed during the summer season (Figures <xref ref-type="fig" rid="F4">4</xref>, <xref ref-type="fig" rid="F5">5</xref>, and <xref ref-type="fig" rid="F7">7B</xref>), particularly in June and July, coinciding with the stratification period (Siokou-Frangou et al., <xref ref-type="bibr" rid="B88">2010</xref>).</p>
<p>Interestingly, the temporal patterns of <italic>Prochlorococcus</italic> (Figure <xref ref-type="fig" rid="F8">8A</xref>) exhibited a less periodic fluctuation in dominance at the basin scale as compared to those of <italic>Synechococcus</italic> (Figure <xref ref-type="fig" rid="F7">7A</xref>).The continuous wavelet spectrum (Figures <xref ref-type="fig" rid="F8">8B,C</xref>) suggests that prior to 2002, no cyclic component dominated (the time series conformed to a white-noise process). From this year onwards, a 6-months periodicity pattern became apparent, particularly from 2007. An annual cycle also appeared during this period, but the power was smaller as suggested by the global wavelet spectrum (Figure <xref ref-type="fig" rid="F8">8D</xref>). This indicates that most of the temporal variance in the dominance of <italic>Prochlorococcus</italic> in the Mediterranean Sea occurs at different periodicities, perhaps dominated by a seasonal period. <italic>Synechococcus</italic> tends to be more abundant at the surface waters, whereas <italic>Prochlorococcus</italic> thrives mainly in the deep-chlorophyll maximum (Marty and Chiav&#x000E9;rini, <xref ref-type="bibr" rid="B63">2002</xref>; Casotti et al., <xref ref-type="bibr" rid="B20">2003</xref>).</p>
<p>The temporal patterns of diatoms were characterized by a robust periodicity of 12 months across time (Figure <xref ref-type="fig" rid="F9">9</xref>). In this case, the largest dominance was observed during spring, in agreement with the diatom blooms reported in the basin over this season (Marty and Chiav&#x000E9;rini, <xref ref-type="bibr" rid="B63">2002</xref>). In contrast, the minima occurred in September, coinciding with nutrient exhaustion.</p>
</sec>
<sec>
<title>Spatio-temporal patterns at the sub-regional scale</title>
<p>The PHYSAT-MedOC-CCI approach was also applied in four selected sub-regions in order to track the temporal evolution of phytoplankton groups at smaller spatial scales. To allow for meaningful comparisons, the chosen areas resemble those considered by Sammartino et al. (<xref ref-type="bibr" rid="B84">2015</xref>): the Alboran Sea, the Ligurian Sea, the North Adriatic Sea and the Levantine basin (Figure <xref ref-type="fig" rid="F1">1</xref>). Figure <xref ref-type="fig" rid="F10">10</xref> shows the monthly climatology in the percentage of dominance of the four phytoplankton groups for each sub-region. Nanoeukaryotes occurrence exhibited a marked longitudinal gradient, with a higher abundance in the western basin (Alboran Sea and Ligurian Sea) in relation to the Levantine basin. Nonetheless, a marked annual cycle is evident in all sub-regions, which is characterized by the presence of maxima over the winter months and a minimum in summer. This was confirmed by a regional wavelet analysis that clearly revealed a consistent 12-month periodicity (Figure <xref ref-type="fig" rid="F11">11</xref>). Interestingly however, a longitudinal increase in the importance of 6-months periodicities also became apparent: both in the North Adriatic Sea and in the Levantine basin, recurrent seasonal periods contribute to the overall variability (Figure <xref ref-type="fig" rid="F11">11</xref>). Nevertheless, the overall abundance of this group kept values above 20%, with the exception of the Levantine basin over summer months. This temporal pattern resembles that of nanoplankton found in the selected areas by Sammartino et al. (<xref ref-type="bibr" rid="B84">2015</xref>), and reflects the constant contribution of this group to primary production, as previously reported (Vidussi et al., <xref ref-type="bibr" rid="B101">2000</xref>, <xref ref-type="bibr" rid="B100">2001</xref>; Uitz et al., <xref ref-type="bibr" rid="B97">2012</xref>).</p>
<fig id="F10" position="float">
<label>Figure 10</label>
<caption><p>Box plot for monthly climatology for each group in Mediterranean sub-regions. Each row represents each phytoplankton group (nanoeukaryotes, <italic>Prochlorococcus, Synechococcus</italic>, and diatoms) and each column corresponds to the same sub-region (Alboran Sea, Ligurian Sea, Northern Adriatic Sea, and Levantine Basin). In the box plot figure red lines stand for the median, blue box spans from the first to the second quartiles, and black lines represent 5th and 95th percentiles, respectively, of monthly climatology for each group.</p></caption>
<graphic xlink:href="fmars-04-00246-g0010.tif"/>
</fig>
<fig id="F11" position="float">
<label>Figure 11</label>
<caption><p>Continuous wavelet power spectrum for the 10-day time series for each group and four sub-regions. Each row represents each phytoplankton group (nanoeukaryotes, <italic>Prochlorococcus, Synechococcus</italic>, and diatoms) and each column corresponds to the same sub-region (Alboran Sea, Ligurian Sea, Northern Adriatic Sea, and Levantine Basin). Red line indicates the region of time and frequency affected by the edges of the data and should not be considered.</p></caption>
<graphic xlink:href="fmars-04-00246-g0011.tif"/>
</fig>
<p><italic>Prochlorococcus</italic> abundance in the four regions was higher over the late summer months and similar in terms of percentage between the Western and Eastern basins. This phytoplankton group is, however, less represented in the Northern Adriatic Sea. It is worthy to note that an additional winter peak (February) of <italic>Prochlorochoccus</italic> can be identified in the Levantine basin. This pattern of abundance at a sub-regional scale coincides with the wavelet analyses (Figure <xref ref-type="fig" rid="F11">11</xref>). The annual cycle of <italic>Synechococcus</italic> is also evidenced by the maximum of abundance in the four sub-regions during the summer months coinciding with the stratification period and when Chl<italic>a</italic> concentration in the basin is low (Volpe et al., <xref ref-type="bibr" rid="B103">2007</xref>). During this season, the temporal climatology of <italic>Synechococcus</italic> reached values close to 100% in the Levantine basin, in agreement with the values given by Sammartino et al. (<xref ref-type="bibr" rid="B84">2015</xref>) for picoplankton. These authors indicated that this size class (closely corresponding to <italic>Synechococcus</italic>) seems to cover homogenously the entire Mediterranean Sea, with percentages of abundance close to 70%, although a decreasing concentration gradient from west to east can be still observed, which was also revealed by our analysis particularly for <italic>Prochlorococcus</italic>. According to our analysis (Figure <xref ref-type="fig" rid="F10">10</xref>), <italic>Synechococcus</italic> dominated in the Eastern basin, where ultraoligotrophic conditions are present and particularly during summer (Siokou-Frangou et al., <xref ref-type="bibr" rid="B88">2010</xref>). During this season, primary production by the picoplankton exhibits a maximum (Uitz et al., <xref ref-type="bibr" rid="B97">2012</xref>. It is well known that due to their high surface/volume ratio, <italic>Synechococcus</italic> (and also <italic>Prochlorococcus</italic>) can cope optimally with nutrients-impoverished environments (Le Qu&#x000E9;r&#x000E9; et al., <xref ref-type="bibr" rid="B58">2005</xref>). The presence of <italic>Synechococcus</italic> in the Levantine basin has been widely reported (Uitz et al., <xref ref-type="bibr" rid="B97">2012</xref> and references therein), and the PHYSAT-Med OC-CCI clearly revealed its presence in the ultraoligotrophic Levantine basin and depicted a realistic annual cycle (Figures <xref ref-type="fig" rid="F10">10</xref>, <xref ref-type="fig" rid="F11">11</xref>).</p>
<p>As expected, diatoms were the least abundant of the four phytoplankton groups analyzed in the Mediterranean sub-regions. In fact, with the exception of the Northern Adriatic Sea, the percentage of abundance of diatoms fell within the range of 10&#x02013;20% in the Western sub-regions and in the Levantine basin during the whole year. A moderate spring maximum could be still detected, coinciding with the seasonal blooms normally described for this phytoplankton group along the Mediterranean (Marty and Chiav&#x000E9;rini, <xref ref-type="bibr" rid="B63">2002</xref>). As suggested by the wavelet analyses, the annual cycle for diatoms is rather less robust compared to other groups (Figure <xref ref-type="fig" rid="F11">11</xref>). These findings agree with previous studies, where higher phytoplankton biomass, particularly diatoms, was found in the Adriatic Sea (Socal et al., <xref ref-type="bibr" rid="B89">1999</xref>; Casotti et al., <xref ref-type="bibr" rid="B20">2003</xref>). This group represented an important faction (14%) of phytoplankton only in winter (Socal et al., <xref ref-type="bibr" rid="B89">1999</xref>). Nevertheless, the contribution of picoplankton typically exceeds that of microplankton most of the year except during the winter-spring bloom (Uitz et al., <xref ref-type="bibr" rid="B97">2012</xref>).</p>
<p>According to our assessment using the new OC-CCI database, the most abundant phytoplankton group during the winter months in the Mediterranean Sea was the nanoeukaryotes, but particularly in the sub-regions of the Western Mediterranean, the Alboran and the Ligurian Seas. Regardless of a specific area, the convective mixing in winter over the basin that uplifts deep nutrients to the upper layer triggers the proliferation of the bigger phytoplankton groups (Marty and Chiav&#x000E9;rini, <xref ref-type="bibr" rid="B64">2010</xref>), which is evidenced here by the major presence of nanoeukaryotes in winter months (Figures <xref ref-type="fig" rid="F5">5</xref>, <xref ref-type="fig" rid="F10">10</xref>). Our data also reproduce the basin-wide diatom peaks of abundance in spring (Figure <xref ref-type="fig" rid="F9">9</xref>), following the Mediterranean phytoplankton succession previously reported (Marty et al., <xref ref-type="bibr" rid="B65">2002</xref>) and with a consistent pattern every year (Figures <xref ref-type="fig" rid="F9">9</xref>&#x02013;<xref ref-type="fig" rid="F11">11</xref>). It should be indicated, however, that our approach presents certain limitations in diatoms detection, as acknowledged by Navarro et al. (<xref ref-type="bibr" rid="B74">2014</xref>). Hence, it is likely that diatoms abundance may have been slightly underestimated across the basin although studies on extensive distribution of this group along the Mediterranean are scarce to allow for an accurate comparison. Conversely, <italic>Synechococcus</italic> and <italic>Prochlorococcus</italic>, which are more favored by stratification conditions during summer due to their better efficiency under nutrient depleted conditions, were successfully identified both at the basin (Figure <xref ref-type="fig" rid="F5">5</xref>) and sub-regional scales (Figure <xref ref-type="fig" rid="F10">10</xref>). Moreover, the well-known dominance of <italic>Synechococcus</italic> with respect to <italic>Prochlorococcus</italic> (Schauer et al., <xref ref-type="bibr" rid="B87">2003</xref>), particularly in the ultraoligotrophic Eastern basin, was neatly reproduced in our study.</p>
<p>Overall, the spatio-temporal patterns obtained by applying the PHYSAT-Med to the satellite OC-CCI database are consistent with the previous distributions of the major phytoplankton groups observed in the Mediterranean Sea (Vidussi et al., <xref ref-type="bibr" rid="B101">2000</xref>, <xref ref-type="bibr" rid="B100">2001</xref>; Marty and Chiav&#x000E9;rini, <xref ref-type="bibr" rid="B63">2002</xref>, <xref ref-type="bibr" rid="B64">2010</xref>; Marty et al., <xref ref-type="bibr" rid="B65">2002</xref>; Siokou-Frangou et al., <xref ref-type="bibr" rid="B88">2010</xref>; Navarro et al., <xref ref-type="bibr" rid="B74">2014</xref>; Sammartino et al., <xref ref-type="bibr" rid="B84">2015</xref>; Di Cicco et al., <xref ref-type="bibr" rid="B32">2017</xref>). These results suggest that our approach is highly suitable at basin scale and in selected sub-regions. This new dataset for PFT could be an efficient tool for recording and understanding the response of the marine ecosystem to human pressures and thus for detecting eutrophication in the Mediterranean Sea (Vantrepotte and M&#x000E9;lin, <xref ref-type="bibr" rid="B98">2010</xref>; Colella et al., <xref ref-type="bibr" rid="B25">2016</xref>).</p>
</sec>
</sec>
<sec sec-type="conclusions" id="s4">
<title>Conclusions</title>
<p>This work presents an updated version of the PHYSAT-Med algorithm that has been specifically developed using the OC-CCI database. This ESA initiative aims at gathering ocean color measurements from four sensors since 1997. The distribution of the major phytoplankton groups in the Mediterranean basin during a 18 years period was consistent with the previous knowledge on the distribution patterns of phytoplankton in the basin. In addition, the modeled distributions are in concordance with the distribution of HPLC pigments analyzed in NW Mediterranean Sea for the whole temporal range. The utility of the updated approach was confirmed by the temporal analysis using the wavelet spectrum, which allowed for the identification of shifting patterns of periodicities across time for the dominant phytoplankton groups. Therefore, the new version of the PHYSAT-Med is appropriate for assessing the shifting spatio-temporal patterns of the most abundant phytoplankton groups in the Mediterranean Sea.</p>
</sec>
<sec id="s5">
<title>Author contributions</title>
<p>All authors contributed to the final manuscript: GN and IH were responsible for writing and organizing the manuscript. IC and GN implemented the PHYSAT-Med algorithm to new OC-CCI database. PA and AV performed the wavelet analysis. All authors discussed the results and drew the conclusions.</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 authors acknowledge the Ocean Colour Climate Change Initiative dataset, Version 3.0, European Space Agency, available online at <ext-link ext-link-type="uri" xlink:href="http://www.esa-oceancolour-cci.org/">http://www.esa-oceancolour-cci.org/</ext-link>, for providing access to remote sensing reflectance products. <italic>In situ</italic> HPLC dataset was obtained from BOUSSOLE Project and MAREDAT database. We are grateful to two reviewers for their invaluable scientific improvements.</p>
</ack>
<sec sec-type="supplementary-material" id="s6">
<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.2017.00246/full#supplementary-material">http://journal.frontiersin.org/article/10.3389/fmars.2017.00246/full#supplementary-material</ext-link></p>
<supplementary-material xlink:href="DataSheet1.XLSX" id="SM1" mimetype="application/vnd.openxmlformats-officedocument.spreadsheetml.sheet" xmlns:xlink="http://www.w3.org/1999/xlink"/>
</sec>
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<fn-group>
<fn fn-type="financial-disclosure"><p><bold>Funding.</bold> This work was financially supported by the Junta de Andaluc&#x000ED;a Projects PR11-RNM-7722, PIE 201530I012 and the National Project CTM2014-58181-R.</p>
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