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  <front>
    <journal-meta><journal-id journal-id-type="publisher">BG</journal-id><journal-title-group>
    <journal-title>Biogeosciences</journal-title>
    <abbrev-journal-title abbrev-type="publisher">BG</abbrev-journal-title><abbrev-journal-title abbrev-type="nlm-ta">Biogeosciences</abbrev-journal-title>
  </journal-title-group><issn pub-type="epub">1726-4189</issn><publisher>
    <publisher-name>Copernicus Publications</publisher-name>
    <publisher-loc>Göttingen, Germany</publisher-loc>
  </publisher></journal-meta>
    <article-meta>
      <article-id pub-id-type="doi">10.5194/bg-23-2687-2026</article-id><title-group><article-title>Dynamics of island mass effect – Part 2: Phytoplankton physiological responses</article-title><alt-title>Dynamics of island mass effect – Part 2</alt-title>
      </title-group>
      <contrib-group>
        <contrib contrib-type="author" corresp="yes" rid="aff1">
          <name><surname>Bourdin</surname><given-names>Guillaume</given-names></name>
          <email>guillaume.bourdin@maine.edu</email>
        <ext-link>https://orcid.org/0000-0001-7608-5256</ext-link></contrib>
        <contrib contrib-type="author" corresp="no" rid="aff1 aff2">
          <name><surname>Karp-Boss</surname><given-names>Lee</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff3">
          <name><surname>Lombard</surname><given-names>Fabien</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff3">
          <name><surname>Gorsky</surname><given-names>Gabriel</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff1">
          <name><surname>Boss</surname><given-names>Emmanuel</given-names></name>
          
        <ext-link>https://orcid.org/0000-0002-8334-9595</ext-link></contrib>
        <aff id="aff1"><label>1</label><institution>School of Marine Sciences, University of Maine, Orono, Maine, USA</institution>
        </aff>
        <aff id="aff2"><label>2</label><institution>Climate Change Institute, University of Maine, Orono, Maine, USA</institution>
        </aff>
        <aff id="aff3"><label>3</label><institution>Laboratoire d'Océanographie de Villefranche-sur-Mer, Sorbonne Université, CNRS, Villefranche-Sur-Mer, France</institution>
        </aff>
      </contrib-group>
      <author-notes><corresp id="corr1">Guillaume Bourdin (guillaume.bourdin@maine.edu)</corresp></author-notes><pub-date><day>21</day><month>April</month><year>2026</year></pub-date>
      
      <volume>23</volume>
      <issue>8</issue>
      <fpage>2687</fpage><lpage>2728</lpage>
      <history>
        <date date-type="received"><day>19</day><month>September</month><year>2025</year></date>
           <date date-type="rev-request"><day>20</day><month>October</month><year>2025</year></date>
           <date date-type="rev-recd"><day>18</day><month>February</month><year>2026</year></date>
           <date date-type="accepted"><day>11</day><month>March</month><year>2026</year></date>
      </history>
      <permissions>
        <copyright-statement>Copyright: © 2026 Guillaume Bourdin et al.</copyright-statement>
        <copyright-year>2026</copyright-year>
      <license license-type="open-access"><license-p>This work is licensed under the Creative Commons Attribution 4.0 International License. To view a copy of this licence, visit <ext-link ext-link-type="uri" xlink:href="https://creativecommons.org/licenses/by/4.0/">https://creativecommons.org/licenses/by/4.0/</ext-link></license-p></license></permissions><self-uri xlink:href="https://bg.copernicus.org/articles/bg-23-2687-2026.html">This article is available from https://bg.copernicus.org/articles/bg-23-2687-2026.html</self-uri><self-uri xlink:href="https://bg.copernicus.org/articles/bg-23-2687-2026.pdf">The full text article is available as a PDF file from https://bg.copernicus.org/articles/bg-23-2687-2026.pdf</self-uri>
      <abstract><title>Abstract</title>

      <p id="d2e131">Island mass effect (IME) refers to the phenomenon of elevated chlorophyll <italic>a</italic> concentrations around islands, often extending hundreds of kilometers into oligotrophic waters. In this study, we explore the physiological responses and changes in phytoplankton community composition within island mass effect zones, providing insights into the drivers and ecological impacts of this phenomenon. Here, we study IMEs associated with four South Pacific subtropical archipelagos over six-month periods. We use a combination of satellite-derived physiological indices and in situ bio-optical data collected during the Tara Pacific expedition (2016–2018) to further our mechanistic understanding of IME. We examine mechanisms such as nutrient enrichment and pigment-based proxies of ecological succession that underpin the IME. Our results demonstrate that phytoplankton populations within IME zones typically experience reduced physiological stress compared to the surrounding open ocean, likely due to an alleviation of iron limitation. Hence, recurring iron enrichment may be a significant factor of IME across the South Pacific Subtropical Ocean. In some cases, we also detected signatures of decreased phytoplankton stress due to macronutrient limitation associated with local upwellings and increased vertical mixing, highlighting the role of physical processes in supplying macronutrients to the photic zone. While iron enrichment seems to originate mostly from terrigenous/reef inputs, macronutrients can be both from terrigenous/reef origin or vertical entrainment of nutrient-rich deep water to the surface ocean. We also show that IME is often associated with changes in pigment ratios, which is suggestive of changes in phytoplankton community composition. These findings underscore the complex interplay between nutrient availability, community composition, and physiological stress in shaping IME, offering new perspectives on this phenomenon and its ecological significance.</p>
  </abstract>
    
<funding-group>
<award-group id="gs1">
<funding-source>National Aeronautics and Space Administration</funding-source>
<award-id>80NSSC20K1641</award-id>
<award-id>NNX13AE58G</award-id>
<award-id>NNX15AC08G</award-id>
</award-group>
<award-group id="gs2">
<funding-source>National Science Foundation</funding-source>
<award-id>2025402</award-id>
</award-group>
</funding-group>
</article-meta>
  </front>
<body>
      

<sec id="Ch1.S1" sec-type="intro">
  <label>1</label><title>Introduction</title>
      <p id="d2e146">The island mass effect (IME) refers to different processes that result in the enhancement of chlorophyll <italic>a</italic> concentration [Chl <italic>a</italic>] and phytoplankton biomass around islands, relative to their surrounding ocean. This phenomenon can contribute substantially to regional phytoplankton standing stocks and may have significant impacts on biogeochemical processes and food web dynamics in oligotrophic oceans <xref ref-type="bibr" rid="bib1.bibx44 bib1.bibx72 bib1.bibx22" id="paren.1"/>. <xref ref-type="bibr" rid="bib1.bibx33" id="text.2"/> suggest that sea surface temperature (SST) anomalies around large elevated islands are due to upwelling and downwelling processes, while smaller islands exhibit only localized cooling from current-island interactions. These patterns indicate that multiple nutrient-enriching processes can coexist around a single island, varying seasonally with oceanic and atmospheric forcing. Single-archipelago studies have shown that macronutrient and iron enrichment in the euphotic zone in the vicinity of islands can lead to phytoplankton biomass accumulation and IME formation <xref ref-type="bibr" rid="bib1.bibx71 bib1.bibx68 bib1.bibx25 bib1.bibx52 bib1.bibx77 bib1.bibx80 bib1.bibx86" id="paren.3"/>. Additionally, <xref ref-type="bibr" rid="bib1.bibx68" id="text.4"/> found differences in plankton community composition between island-specific IME events within the Marquesas archipelago, and indicated that interactions between bottom-up nutrient enrichments and top-down control of phytoplankton populations by grazers can be important factors driving IME processes.</p>
      <p id="d2e168">To date, most basin-scale studies of IME have relied on [Chl <italic>a</italic>] <xref ref-type="bibr" rid="bib1.bibx44 bib1.bibx72 bib1.bibx22" id="paren.5"/> or chlorophyll fluorescence <xref ref-type="bibr" rid="bib1.bibx32" id="paren.6"/> to assess phytoplankton biomass, offering valuable insights into the spatial extent and temporal variability of IME, but without explicitly disentangling the underlying contributing factors. Because variations in [Chl <italic>a</italic>] can result from changes in phytoplankton biomass, community composition <xref ref-type="bibr" rid="bib1.bibx56" id="paren.7"/>, and physiological acclimation to nutrients, SST, and light <xref ref-type="bibr" rid="bib1.bibx41 bib1.bibx40" id="paren.8"/>, the interpretation of [Chl <italic>a</italic>] as a phytoplankton biomass indicator is susceptible to bias if not concurrently evaluated with other independent proxies of phytoplankton biomass. Such metrics could include proxies for particulate organic carbon <xref ref-type="bibr" rid="bib1.bibx10 bib1.bibx38 bib1.bibx37" id="paren.9"><named-content content-type="pre">POC;</named-content></xref> or phytoplankton carbon <xref ref-type="bibr" rid="bib1.bibx45 bib1.bibx2" id="paren.10"><named-content content-type="pre"><inline-formula><mml:math id="M1" display="inline"><mml:mrow><mml:msub><mml:mi>C</mml:mi><mml:mi mathvariant="normal">phyto</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>;</named-content></xref>, which are insensitive to photoacclimation and can be retrieved from satellite observations. Furthermore, because phytoplankton intracellular [Chl <italic>a</italic>] synthesis is upregulated when incident light decreases and downregulated when phytoplankton cells are stressed due to nutrient limitation, we can use the ratio of [Chl <italic>a</italic>] to <inline-formula><mml:math id="M2" display="inline"><mml:mrow><mml:msub><mml:mi>C</mml:mi><mml:mi mathvariant="normal">phyto</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> (<inline-formula><mml:math id="M3" display="inline"><mml:mstyle displaystyle="false"><mml:mfrac style="text"><mml:mrow><mml:mo>[</mml:mo><mml:mi mathvariant="normal">Chl</mml:mi><mml:mspace width="0.25em" linebreak="nobreak"/><mml:mi>a</mml:mi><mml:mo>]</mml:mo></mml:mrow><mml:mrow><mml:msub><mml:mi>C</mml:mi><mml:mi mathvariant="normal">phyto</mml:mi></mml:msub></mml:mrow></mml:mfrac></mml:mstyle></mml:math></inline-formula>) to estimate physiological responses to light exposure and nutrient enrichment <xref ref-type="bibr" rid="bib1.bibx7 bib1.bibx48 bib1.bibx57" id="paren.11"/>. With information about ambient light and the mixing depth, we can estimate the contribution of photoacclimation to <inline-formula><mml:math id="M4" display="inline"><mml:mstyle displaystyle="false"><mml:mfrac style="text"><mml:mrow><mml:msub><mml:mi>C</mml:mi><mml:mi mathvariant="normal">phyto</mml:mi></mml:msub></mml:mrow><mml:mrow><mml:mo>[</mml:mo><mml:mi mathvariant="normal">Chl</mml:mi><mml:mspace linebreak="nobreak" width="0.25em"/><mml:mi>a</mml:mi><mml:mo>]</mml:mo></mml:mrow></mml:mfrac></mml:mstyle></mml:math></inline-formula> and therefore deduce information about physiological responses to nutrient availability. Moreover, multiple studies have shown that iron limitation has a distinct signature on phytoplankton fluorescence, with cells under iron limitation exhibiting higher chlorophyll fluorescence for a given incident irradiance and light absorption efficiency <xref ref-type="bibr" rid="bib1.bibx3 bib1.bibx5 bib1.bibx46 bib1.bibx53 bib1.bibx75 bib1.bibx4" id="paren.12"/>. <xref ref-type="bibr" rid="bib1.bibx6" id="text.13"/> used this characteristic to calculate the fluorescence quantum yield (<inline-formula><mml:math id="M5" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="normal">Φ</mml:mi><mml:mi mathvariant="normal">Sat</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>) from remote sensing data and assess phytoplankton iron stress across ocean basins.</p>
      <p id="d2e298">Building on these relationships, new insights into phytoplankton physiology can be gained in the context of the IME. Here, we examine spatial and temporal variations in macronutrient and iron stress responses of phytoplankton, comparing between communities in coastal water of islands, communities in water masses under the influence of the IME that have been advected offshore, and communities in the adjacent background oligotrophic ocean. We integrate high-resolution in situ bio-optical proxies with satellite data to assess the covariance between nutrient stress responses, biomass increases, and potential shifts in phytoplankton community composition. This integrated analysis allows us to generate hypotheses related to the type and origin of nutrient enrichments associated with the IME and to evaluate their ecological consequences for surface plankton communities.</p>
      <p id="d2e301">To capture the spectrum of IME responses across the South Pacific Subtropical Gyre (SPSG), this paper presents observations from four archipelagos (Rapa Nui, Society Islands, Samoa, and Fiji) with varying size, bathymetry, elevation, geographical position, and which are associated with a wide range of IME spatial and temporal extents and [Chl <italic>a</italic>] enhancement <xref ref-type="bibr" rid="bib1.bibx22" id="paren.14"/>. This approach allows a more mechanistic understanding of the likely processes driving the IME. While this method is presented here in the context of the IME, it is applicable to other studies of mesoscale processes in the ocean, such as upwelling systems and river discharge.</p>
</sec>
<sec id="Ch1.S2">
  <label>2</label><title>Method</title>
<sec id="Ch1.S2.SS1">
  <label>2.1</label><title>Case study islands</title>
      <p id="d2e325">We selected four study regions distributed along a longitudinal gradient of the subtropical and tropical South Pacific Ocean. These regions were sampled as part of the basin-scale survey conducted during the <italic>Tara</italic> Pacific expedition <xref ref-type="bibr" rid="bib1.bibx43 bib1.bibx65" id="paren.15"><named-content content-type="pre">2016–2018;</named-content></xref>. The selected regions span a gradient of oceanographic conditions, ranging from the ultra-oligotrophic eastern basin (near Rapa Nui) to the moderately oligotrophic Western Pacific Basin (near Fiji and Tonga). Island densities, size, and geomorphic types vary between and within these regions (Fig. <xref ref-type="fig" rid="F1"/>). For instance, the region studied around Rapa Nui in the Eastern Pacific encompasses 2 islands and 3 submerged reefs, while the region studied around Fiji and Tonga in the Western Pacific encompasses 158 islands and 306 submerged reefs.</p>
      <p id="d2e338">The spatial and temporal dynamics of IMEs and their associated chlorophyll <italic>a</italic> enhancement have been characterized for each of these case study regions <xref ref-type="bibr" rid="bib1.bibx22" id="paren.16"/>. Here, we extend this analysis to include physiological indicators derived from bio-optical and remote sensing measurements to gain new insights about the underlying mechanisms that contribute to the observed chlorophyll <italic>a</italic> enhancement.</p>

      <fig id="F1" specific-use="star"><label>Figure 1</label><caption><p id="d2e352">Island and submerged reef characteristics of the studied regions. Island geomorphic types were determined following <xref ref-type="bibr" rid="bib1.bibx74" id="text.17"/>.</p></caption>
          <graphic xlink:href="https://bg.copernicus.org/articles/23/2687/2026/bg-23-2687-2026-f01.png"/>

        </fig>

</sec>
<sec id="Ch1.S2.SS2">
  <label>2.2</label><title>In situ data collection</title>
      <p id="d2e372">We measured inherent optical properties (IOPs), including absorption (<inline-formula><mml:math id="M6" display="inline"><mml:mi>a</mml:mi></mml:math></inline-formula>), attenuation (<inline-formula><mml:math id="M7" display="inline"><mml:mi>c</mml:mi></mml:math></inline-formula>), and backscattering (<inline-formula><mml:math id="M8" display="inline"><mml:mrow><mml:msub><mml:mi>b</mml:mi><mml:mi mathvariant="normal">b</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>), along the <italic>Tara</italic> Pacific transect, using Seabird's ACs spectrophotometer and ECO-BB3 integrated into a continuous flow-through system. We calculated particulate absorption (<inline-formula><mml:math id="M9" display="inline"><mml:mrow><mml:msub><mml:mi>a</mml:mi><mml:mi mathvariant="normal">p</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>), particulate attenuation (<inline-formula><mml:math id="M10" display="inline"><mml:mrow><mml:msub><mml:mi>c</mml:mi><mml:mi mathvariant="normal">p</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>), and particulate backscattering (<inline-formula><mml:math id="M11" display="inline"><mml:mrow><mml:msub><mml:mi>b</mml:mi><mml:mi mathvariant="normal">bp</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>) by correcting <inline-formula><mml:math id="M12" display="inline"><mml:mi>a</mml:mi></mml:math></inline-formula>, <inline-formula><mml:math id="M13" display="inline"><mml:mi>c</mml:mi></mml:math></inline-formula>, and <inline-formula><mml:math id="M14" display="inline"><mml:mrow><mml:msub><mml:mi>b</mml:mi><mml:mi mathvariant="normal">b</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> for instrument drift, bio-fouling, and the influence of dissolved matter, based on hourly measurements of 0.2 <inline-formula><mml:math id="M15" display="inline"><mml:mi mathvariant="italic">μ</mml:mi></mml:math></inline-formula>m filtered seawater <xref ref-type="bibr" rid="bib1.bibx31 bib1.bibx87 bib1.bibx16" id="paren.18"/>. We derived bio-optical proxies for phytoplankton biomass and community composition from <inline-formula><mml:math id="M16" display="inline"><mml:mrow><mml:msub><mml:mi>a</mml:mi><mml:mi mathvariant="normal">p</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M17" display="inline"><mml:mrow><mml:msub><mml:mi>c</mml:mi><mml:mi mathvariant="normal">p</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>, benefiting from the high sampling resolution of the continuous sampling system to detect gradients in optical properties along the sampling transect. We calculated the line-height of the <inline-formula><mml:math id="M18" display="inline"><mml:mrow><mml:msub><mml:mi>a</mml:mi><mml:mi mathvariant="normal">p</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> peak of [Chl <italic>a</italic>] at 676 nm (<inline-formula><mml:math id="M19" display="inline"><mml:mrow><mml:msub><mml:mi>a</mml:mi><mml:mrow><mml:mi mathvariant="normal">p</mml:mi><mml:mn mathvariant="normal">676</mml:mn><mml:mi mathvariant="normal">LH</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula>) <xref ref-type="bibr" rid="bib1.bibx15" id="paren.19"/> and decomposed all <inline-formula><mml:math id="M20" display="inline"><mml:mrow><mml:msub><mml:mi>a</mml:mi><mml:mi mathvariant="normal">p</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> spectra into Gaussian functions aligned with the light absorption peaks of specific accessory pigments <xref ref-type="bibr" rid="bib1.bibx27" id="paren.20"/>. Each day, around 10:30 a.m. local time, we collected surface water samples for pigment analysis via high-pressure liquid chromatography (HPLC). We estimated [Chl <italic>a</italic>] from <inline-formula><mml:math id="M21" display="inline"><mml:mrow><mml:msub><mml:mi>a</mml:mi><mml:mi mathvariant="normal">p</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> by correlating total [Chl <italic>a</italic>] measured via HPLC with the amplitude of <inline-formula><mml:math id="M22" display="inline"><mml:mrow><mml:msub><mml:mi>a</mml:mi><mml:mrow><mml:mi mathvariant="normal">p</mml:mi><mml:mn mathvariant="normal">676</mml:mn><mml:mi mathvariant="normal">LH</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula> (Fig. <xref ref-type="fig" rid="FA2"/>). Similarly, we estimated accessory pigment concentrations from continuous underway measurements by relating concurrent pigment concentrations derived from HPLC to the amplitudes of <inline-formula><mml:math id="M23" display="inline"><mml:mrow><mml:msub><mml:mi>a</mml:mi><mml:mi mathvariant="normal">p</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> Gaussian functions (Fig. <xref ref-type="fig" rid="FA2"/>). Photo-protective carotenoid concentrations ([PPC]) were estimated from the Gaussian function centered on 492 nm, photosynthetic carotenoid concentrations ([PSC]) were estimated from the Gaussian function centered on 523 nm, chlorophyll <italic>c</italic> concentrations ([Chl <italic>c</italic>]) were estimated from the Gaussian function centered on 638 nm, and chlorophyll <italic>b</italic> concentrations ([Chl <italic>b</italic>]) were estimated from the Gaussian function centered on 660 nm (Table <xref ref-type="table" rid="T1"/>). We investigated changes in pigment composition along the <italic>Tara</italic> Pacific transect sampled using the ratio of these accessory pigments to [Chl <italic>a</italic>] (e.g. <inline-formula><mml:math id="M24" display="inline"><mml:mrow><mml:mo>[</mml:mo><mml:mtext>PSC</mml:mtext><mml:mo>]</mml:mo><mml:mo>/</mml:mo><mml:mo>[</mml:mo><mml:mi mathvariant="normal">Chl</mml:mi><mml:mspace linebreak="nobreak" width="0.25em"/><mml:mi>a</mml:mi><mml:mo>]</mml:mo></mml:mrow></mml:math></inline-formula>; Table <xref ref-type="table" rid="T1"/>). Phycoerythrin concentrations were not measured as part of the HPLC analysis, thus we estimated the relative concentrations of phycoerythrin using the ratio of the Gaussian absorption function centered on the phycoerythrin absorption peak <xref ref-type="bibr" rid="bib1.bibx27" id="paren.21"><named-content content-type="pre">i.e. 550 nm;</named-content></xref> to the Gaussian absorption function centered on 676 nm, the [Chl <italic>a</italic>] absorption peaks (i.e. <inline-formula><mml:math id="M25" display="inline"><mml:mrow><mml:msub><mml:mi>a</mml:mi><mml:mi mathvariant="normal">gauss</mml:mi></mml:msub><mml:mn mathvariant="normal">550</mml:mn><mml:mo>/</mml:mo><mml:msub><mml:mi>a</mml:mi><mml:mi mathvariant="normal">gauss</mml:mi></mml:msub><mml:mn mathvariant="normal">676</mml:mn></mml:mrow></mml:math></inline-formula>). Although not a central objective of this study, we tracked variations in ratios of these accessory pigments to [Chl <italic>a</italic>] (e.g. <inline-formula><mml:math id="M26" display="inline"><mml:mrow><mml:mo>[</mml:mo><mml:mi mathvariant="normal">PSC</mml:mi><mml:mo>]</mml:mo><mml:mo>/</mml:mo><mml:mo>[</mml:mo><mml:mi mathvariant="normal">Chl</mml:mi><mml:mspace width="0.25em" linebreak="nobreak"/><mml:mi>a</mml:mi><mml:mo>]</mml:mo></mml:mrow></mml:math></inline-formula>; Table 2) as a crude indicator of changes in phytoplankton community composition. To quantify changes in the mean size of suspended particles, we computed the slope exponent of <inline-formula><mml:math id="M27" display="inline"><mml:mrow><mml:msub><mml:mi>c</mml:mi><mml:mi mathvariant="normal">p</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> <xref ref-type="bibr" rid="bib1.bibx14" id="paren.22"><named-content content-type="pre">i.e. <inline-formula><mml:math id="M28" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">γ</mml:mi><mml:mrow><mml:msub><mml:mi>c</mml:mi><mml:mi mathvariant="normal">p</mml:mi></mml:msub></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula> which is inversely proportional to mean particle size;</named-content></xref>. Additionally, we measured sea surface temperature and salinity (SSS) with a Seabird SBE45 thermo-salinograph integrated into the flow-through system. We also continuously recorded above-water instantaneous photosynthetically active radiation (iPAR) from the aft deck of <italic>Tara</italic>, using a cosine PAR sensor (QCP2150; Biospherical Instruments) positioned 5 m above sea level. All variables derived from in situ continuous underway data are described in Tables <xref ref-type="table" rid="T1"/> and <xref ref-type="table" rid="T2"/> and are publicly available <xref ref-type="bibr" rid="bib1.bibx19" id="paren.23"/>. Finally, we collected daily discrete samples of surface seawater to estimate the concentrations of dissolved inorganic nitrogen (i.e., nitrates and nitrites), phosphate, silicate, and total iron <xref ref-type="bibr" rid="bib1.bibx65 bib1.bibx43" id="paren.24"><named-content content-type="pre">see sampling protocols in</named-content></xref>.</p>

<table-wrap id="T1" specific-use="star"><label>Table 1</label><caption><p id="d2e746">Description of bio-optical proxies computed from in situ underway data.</p></caption><oasis:table frame="topbot"><oasis:tgroup cols="2">
     <oasis:colspec colnum="1" colname="col1" align="justify" colwidth="5cm"/>
     <oasis:colspec colnum="2" colname="col2" align="justify" colwidth="9cm"/>
     <oasis:thead>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1" align="left">Variables</oasis:entry>
         <oasis:entry colname="col2" align="left">Description</oasis:entry>
       </oasis:row>
     </oasis:thead>
     <oasis:tbody>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1" align="left">Particulate attenuation at 660 nm (<inline-formula><mml:math id="M29" display="inline"><mml:mrow><mml:msub><mml:mi>c</mml:mi><mml:mi mathvariant="normal">p</mml:mi></mml:msub><mml:mn mathvariant="normal">660</mml:mn></mml:mrow></mml:math></inline-formula>)</oasis:entry>
         <oasis:entry colname="col2" align="left">Proxy for particulate organic carbon <xref ref-type="bibr" rid="bib1.bibx37 bib1.bibx2" id="paren.25"/>.</oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1" align="left">Mean particulate size index (<inline-formula><mml:math id="M30" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">γ</mml:mi><mml:mrow><mml:msub><mml:mi>c</mml:mi><mml:mi mathvariant="normal">p</mml:mi></mml:msub></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula>)</oasis:entry>
         <oasis:entry colname="col2" align="left">Proxy for mean size of particles mostly sensitive to particles in the size range of 0.2–20 <inline-formula><mml:math id="M31" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:math></inline-formula>. Small values (<inline-formula><mml:math id="M32" display="inline"><mml:mrow><mml:mo>∼</mml:mo><mml:mn mathvariant="normal">0</mml:mn></mml:mrow></mml:math></inline-formula>) represent assemblies rich in larger particles, while large values (<inline-formula><mml:math id="M33" display="inline"><mml:mrow><mml:mo>∼</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:math></inline-formula>) represent assemblies rich in smaller particles <xref ref-type="bibr" rid="bib1.bibx14" id="paren.26"/>.</oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1" align="left">Normalized chlorophyll <italic>b</italic> (<inline-formula><mml:math id="M34" display="inline"><mml:mrow><mml:mo>[</mml:mo><mml:mi mathvariant="normal">Chl</mml:mi><mml:mspace linebreak="nobreak" width="0.25em"/><mml:mi>b</mml:mi><mml:mo>]</mml:mo><mml:mo>/</mml:mo><mml:mo>[</mml:mo><mml:mi mathvariant="normal">Chl</mml:mi><mml:mspace linebreak="nobreak" width="0.25em"/><mml:mi>a</mml:mi><mml:mo>]</mml:mo></mml:mrow></mml:math></inline-formula>)</oasis:entry>
         <oasis:entry colname="col2" align="left">Chlorophyll <italic>b</italic> normalized by total [Chl <italic>a</italic>]. Proxy for green algae relative concentrations <xref ref-type="bibr" rid="bib1.bibx54" id="paren.27"/>.</oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1" align="left">Normalized chlorophyll <italic>c</italic> (<inline-formula><mml:math id="M35" display="inline"><mml:mrow><mml:mo>[</mml:mo><mml:mi mathvariant="normal">Chl</mml:mi><mml:mspace width="0.25em" linebreak="nobreak"/><mml:mi>c</mml:mi><mml:mo>]</mml:mo><mml:mo>/</mml:mo><mml:mo>[</mml:mo><mml:mi mathvariant="normal">Chl</mml:mi><mml:mspace width="0.25em" linebreak="nobreak"/><mml:mi>a</mml:mi><mml:mo>]</mml:mo></mml:mrow></mml:math></inline-formula>)</oasis:entry>
         <oasis:entry colname="col2" align="left">Chlorophyll <italic>c</italic> normalized by total [Chl <italic>a</italic>]. Proxy for diatoms and other red algae relative concentrations <xref ref-type="bibr" rid="bib1.bibx54" id="paren.28"/>.</oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1" align="left">Normalized photosynthetic carotenoids (<inline-formula><mml:math id="M36" display="inline"><mml:mrow><mml:mo>[</mml:mo><mml:mi mathvariant="normal">PSC</mml:mi><mml:mo>]</mml:mo><mml:mo>/</mml:mo><mml:mo>[</mml:mo><mml:mi mathvariant="normal">Chl</mml:mi><mml:mspace width="0.25em" linebreak="nobreak"/><mml:mi>a</mml:mi><mml:mo>]</mml:mo></mml:mrow></mml:math></inline-formula>)</oasis:entry>
         <oasis:entry colname="col2" align="left">Photosynthetic carotenoids normalized by total [Chl <italic>a</italic>]. Proxy for diatom relative concentrations <xref ref-type="bibr" rid="bib1.bibx54" id="paren.29"/>.</oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1" align="left">Normalized photo-protective carotenoids (<inline-formula><mml:math id="M37" display="inline"><mml:mrow><mml:mo>[</mml:mo><mml:mi mathvariant="normal">PPC</mml:mi><mml:mo>]</mml:mo><mml:mo>/</mml:mo><mml:mo>[</mml:mo><mml:mi mathvariant="normal">Chl</mml:mi><mml:mspace linebreak="nobreak" width="0.25em"/><mml:mi>a</mml:mi><mml:mo>]</mml:mo></mml:mrow></mml:math></inline-formula>)</oasis:entry>
         <oasis:entry colname="col2" align="left">Photo-protective carotenoids normalized by total [Chl <italic>a</italic>]. Proxy for light acclimation of phytoplankton cells <xref ref-type="bibr" rid="bib1.bibx24" id="paren.30"/> and phytoplankton community composition <xref ref-type="bibr" rid="bib1.bibx54" id="paren.31"/>.</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1" align="left">Normalized phycoerythrin (<inline-formula><mml:math id="M38" display="inline"><mml:mrow><mml:msub><mml:mi>a</mml:mi><mml:mi mathvariant="normal">gauss</mml:mi></mml:msub><mml:mn mathvariant="normal">550</mml:mn><mml:mo>/</mml:mo><mml:msub><mml:mi>a</mml:mi><mml:mi mathvariant="normal">gauss</mml:mi></mml:msub><mml:mn mathvariant="normal">676</mml:mn></mml:mrow></mml:math></inline-formula>)</oasis:entry>
         <oasis:entry colname="col2" align="left">Phycoerythrin normalized by total [Chl <italic>a</italic>]. Computed as the ratio of Gaussian absorption centered on phycoerythrin absorption peak (550 nm) and Gaussian absorption centered on <inline-formula><mml:math id="M39" display="inline"><mml:mrow><mml:mo>[</mml:mo><mml:mi>C</mml:mi><mml:mi>h</mml:mi><mml:mi>l</mml:mi><mml:mspace linebreak="nobreak" width="0.25em"/><mml:mtext mathvariant="italic">a</mml:mtext><mml:mo>]</mml:mo></mml:mrow></mml:math></inline-formula> absorption peak <xref ref-type="bibr" rid="bib1.bibx27" id="paren.32"><named-content content-type="pre">676 nm;</named-content></xref>. Phycoerythrin pigments are photosynthetic pigments specific to cyanobacteria (e.g. <italic>Synechococcus</italic> spp., <italic>Prochlorococcus</italic> spp., <italic>Trichodesmium</italic> spp., <italic>Richelia</italic> spp., …). Proxy for relative cyanobacteria concentration.</oasis:entry>
       </oasis:row>
     </oasis:tbody>
   </oasis:tgroup></oasis:table></table-wrap>

<table-wrap id="T2" specific-use="star"><label>Table 2</label><caption><p id="d2e1103">Description of bio-optical and physical variables computed from in situ and satellite data.</p></caption><oasis:table frame="topbot"><oasis:tgroup cols="3">
     <oasis:colspec colnum="1" colname="col1" align="justify" colwidth="3cm"/>
     <oasis:colspec colnum="2" colname="col2" align="left"/>
     <oasis:colspec colnum="3" colname="col3" align="justify" colwidth="9cm"/>
     <oasis:thead>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1" align="left">Variables</oasis:entry>
         <oasis:entry colname="col2">Source</oasis:entry>
         <oasis:entry colname="col3" align="left">Description</oasis:entry>
       </oasis:row>
     </oasis:thead>
     <oasis:tbody>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1" align="left">Chlorophyll <italic>a</italic> concentration ([Chl <italic>a</italic>])</oasis:entry>
         <oasis:entry colname="col2">In situ &amp; satellite</oasis:entry>
         <oasis:entry colname="col3" align="left">The most commonly used proxy for phytoplankton biomass. Per cell, [Chl <italic>a</italic>] can be modulated due to physiological acclimation to light, nutrient availability, and temperature, and also varies among different phytoplankton species <xref ref-type="bibr" rid="bib1.bibx41" id="paren.33"/>.</oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1" align="left">Particulate backscattering (<inline-formula><mml:math id="M40" display="inline"><mml:mrow><mml:msub><mml:mi>b</mml:mi><mml:mi mathvariant="normal">bp</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>)</oasis:entry>
         <oasis:entry colname="col2">In situ &amp; satellite</oasis:entry>
         <oasis:entry colname="col3" align="left">Proxy for biomass that is not modulated by physiological adaptation, but is also sensitive to non-algal particles. <inline-formula><mml:math id="M41" display="inline"><mml:mrow><mml:msub><mml:mi>b</mml:mi><mml:mi mathvariant="normal">bp</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> represents the backscattering properties of all suspended particulate matter, inorganic and organic. In coastal waters, it can be used to highlight zones with high sediment loads carried into the ocean via runoff. These zones can also have higher terrestrial nutrient enrichment. In the open ocean, far away from riverine inputs, <inline-formula><mml:math id="M42" display="inline"><mml:mrow><mml:msub><mml:mi>b</mml:mi><mml:mi mathvariant="normal">bp</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> is modulated primarily by phytoplankton and co-varying organic particles.</oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1" align="left">[Chl <italic>a</italic>] to phytoplankton carbon (<inline-formula><mml:math id="M43" display="inline"><mml:mrow><mml:msub><mml:mi>C</mml:mi><mml:mi mathvariant="normal">phyto</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>) ratio (<inline-formula><mml:math id="M44" display="inline"><mml:mrow><mml:mo>[</mml:mo><mml:mi mathvariant="normal">Chl</mml:mi><mml:mspace width="0.25em" linebreak="nobreak"/><mml:mi>a</mml:mi><mml:mo>]</mml:mo><mml:mo>/</mml:mo><mml:mo>[</mml:mo><mml:msub><mml:mi>C</mml:mi><mml:mi mathvariant="normal">phyto</mml:mi></mml:msub><mml:mo>]</mml:mo></mml:mrow></mml:math></inline-formula>)</oasis:entry>
         <oasis:entry colname="col2">In situ &amp; satellite</oasis:entry>
         <oasis:entry colname="col3" align="left">Represents the proportion of [Chl <italic>a</italic>] per phytoplankton carbon unit and is modulated by physiological adaptation related to SST, light, and nutrients availability <xref ref-type="bibr" rid="bib1.bibx41" id="paren.34"><named-content content-type="pre">e.g. lower light <inline-formula><mml:math id="M45" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> higher <inline-formula><mml:math id="M46" display="inline"><mml:mrow><mml:mi mathvariant="normal">Chl</mml:mi><mml:mspace width="0.25em" linebreak="nobreak"/><mml:mi>a</mml:mi><mml:mo>/</mml:mo><mml:msub><mml:mi>C</mml:mi><mml:mi mathvariant="normal">phyto</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>;</named-content></xref>.</oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1" align="left">Macronutrient limitation stress (<inline-formula><mml:math id="M47" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">η</mml:mi><mml:mo>′</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula>)</oasis:entry>
         <oasis:entry colname="col2">Satellite only</oasis:entry>
         <oasis:entry colname="col3" align="left">Indicate physiological stress of phytoplankton cells due to macronutrient limitation (moderately stressed for <inline-formula><mml:math id="M48" display="inline"><mml:mrow><mml:mn mathvariant="normal">0.2</mml:mn><mml:mo>&gt;</mml:mo><mml:msup><mml:mi mathvariant="italic">η</mml:mi><mml:mo>′</mml:mo></mml:msup><mml:mo>≥</mml:mo><mml:mn mathvariant="normal">0.6</mml:mn></mml:mrow></mml:math></inline-formula> and very stressed for <inline-formula><mml:math id="M49" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">η</mml:mi><mml:mo>′</mml:mo></mml:msup><mml:mo>&gt;</mml:mo><mml:mn mathvariant="normal">0.6</mml:mn></mml:mrow></mml:math></inline-formula>; see Appendix <xref ref-type="sec" rid="Ch1.S2.SS4"/>).</oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1" align="left">Fluorescence quantum yield (<inline-formula><mml:math id="M50" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="normal">Φ</mml:mi><mml:mi mathvariant="normal">Sat</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>)</oasis:entry>
         <oasis:entry colname="col2">Satellite only</oasis:entry>
         <oasis:entry colname="col3" align="left">Indicate physiological stress of phytoplankton cells due to iron <xref ref-type="bibr" rid="bib1.bibx6" id="paren.35"><named-content content-type="pre">higher <inline-formula><mml:math id="M51" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="normal">Φ</mml:mi><mml:mi mathvariant="normal">Sat</mml:mi></mml:msub><mml:mo>=</mml:mo></mml:mrow></mml:math></inline-formula> higher stress;</named-content></xref>.</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1" align="left">Sea surface temperature (SST)</oasis:entry>
         <oasis:entry colname="col2">In situ &amp; satellite</oasis:entry>
         <oasis:entry colname="col3" align="left">Can be used to detect physical processes, e.g. mesoscale features such as upwellings and eddies, and often inversely vary with macronutrient concentration <xref ref-type="bibr" rid="bib1.bibx42" id="paren.36"/>.</oasis:entry>
       </oasis:row>
     </oasis:tbody>
   </oasis:tgroup></oasis:table></table-wrap>

</sec>
<sec id="Ch1.S2.SS3">
  <label>2.3</label><title>Satellite products: phytoplankton biomass indicators</title>
      <p id="d2e1413">We computed level-2 (L2) satellite products from the Moderate Resolution Imaging Spectroradiometer (MODIS), the Visible Infrared Imaging Radiometer Suite (VIIRS), and the Ocean and Land Colour Imager (OLCI) level-1 data following <xref ref-type="bibr" rid="bib1.bibx22" id="text.37"/> method; we built two sets of satellite data, a “calibration dataset” and a “study dataset”. We downloaded the “calibration dataset” for the entire area covered by the <italic>Tara</italic> Pacific transect <xref ref-type="bibr" rid="bib1.bibx43 bib1.bibx65" id="paren.38"><named-content content-type="pre">May 2016 to October 2018, see</named-content></xref>. The “study dataset” consisted of four six-month-long sequences of satellite images in the vicinity of the islands of interest (see Sect. <xref ref-type="sec" rid="Ch1.S2.SS5"/> for additional information on temporal coverage and resolution). We applied a polynomial-based atmospheric correction <xref ref-type="bibr" rid="bib1.bibx90 bib1.bibx89" id="paren.39"><named-content content-type="pre">POLYMER version v4.17beta2;</named-content></xref> on both datasets to compute 1 km spatial resolution L2 remote sensing reflectance data (<inline-formula><mml:math id="M52" display="inline"><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mi mathvariant="normal">rs</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>) using ancillary data from the European Centre for Medium-Range Weather Forecasts reanalysis model version 5 (i.e. ERA5). We removed poor-quality data pixels by applying the flag recommendations of POLYMER <xref ref-type="bibr" rid="bib1.bibx79" id="paren.40"><named-content content-type="pre">see reference</named-content></xref> and projected each satellite scene onto an equally spaced 1 km spatial resolution plate-carré reference grid using a nearest-neighbor interpolation from Python's SciPy library. We corrected <inline-formula><mml:math id="M53" display="inline"><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mi mathvariant="normal">rs</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> for Raman scattering <xref ref-type="bibr" rid="bib1.bibx60" id="paren.41"/> and derived particulate back-scattering coefficient <inline-formula><mml:math id="M54" display="inline"><mml:mrow><mml:msub><mml:mi>b</mml:mi><mml:mi mathvariant="normal">bp</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> at 430 and 550 nm using the quasi-analytical algorithm V6 <xref ref-type="bibr" rid="bib1.bibx58 bib1.bibx59" id="paren.42"/>. We estimated [Chl <italic>a</italic>] using the blended CI-OCx algorithm applying the coefficients derived for each sensor <xref ref-type="bibr" rid="bib1.bibx50 bib1.bibx76" id="paren.43"/>. We estimated phytoplankton carbon (<inline-formula><mml:math id="M55" display="inline"><mml:mrow><mml:msub><mml:mi>C</mml:mi><mml:mi mathvariant="normal">phyto</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>) using the empirical relationship between <inline-formula><mml:math id="M56" display="inline"><mml:mrow><mml:msub><mml:mi>b</mml:mi><mml:mi mathvariant="normal">bp</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>(470 nm) and <inline-formula><mml:math id="M57" display="inline"><mml:mrow><mml:msub><mml:mi>C</mml:mi><mml:mi mathvariant="normal">phyto</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> <xref ref-type="bibr" rid="bib1.bibx45" id="paren.44"/>. Following <xref ref-type="bibr" rid="bib1.bibx22" id="text.45"/>, we computed surface-area integrated [Chl <italic>a</italic>] as a proxy for surface phytoplankton biomass integrated over entire IME and background ocean (BO) zones (see Sect. <xref ref-type="sec" rid="Ch1.S2.SS6"/> for IME and BO zones definition), in two-dimensional metric tons of chlorophyll <italic>a</italic> (t m<sup>−1</sup>), by summing the [Chl <italic>a</italic>] of each pixel within IME and BO zones multiplied by the area of that pixel:

            <disp-formula id="Ch1.E1" content-type="numbered"><label>1</label><mml:math id="M59" display="block"><mml:mrow><mml:mo movablelimits="false">∑</mml:mo><mml:mo>[</mml:mo><mml:mi mathvariant="normal">Chl</mml:mi><mml:mspace width="0.25em" linebreak="nobreak"/><mml:mi>a</mml:mi><mml:msub><mml:mo>]</mml:mo><mml:mi mathvariant="normal">IME</mml:mi></mml:msub><mml:mo>=</mml:mo><mml:munderover><mml:mo movablelimits="false">∑</mml:mo><mml:mrow><mml:mi>n</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow><mml:mrow><mml:msub><mml:mi>N</mml:mi><mml:mrow><mml:msub><mml:mi mathvariant="normal">pixel</mml:mi><mml:mi mathvariant="normal">IME</mml:mi></mml:msub></mml:mrow></mml:msub></mml:mrow></mml:munderover><mml:mo>[</mml:mo><mml:mi mathvariant="normal">Chl</mml:mi><mml:mspace width="0.25em" linebreak="nobreak"/><mml:mi>a</mml:mi><mml:msub><mml:mo>]</mml:mo><mml:mi>n</mml:mi></mml:msub><mml:mo>×</mml:mo><mml:msub><mml:mtext>area</mml:mtext><mml:mrow><mml:msub><mml:mi mathvariant="normal">pixel</mml:mi><mml:mi>n</mml:mi></mml:msub></mml:mrow></mml:msub></mml:mrow></mml:math></disp-formula>

          All variables derived from satellite data are described in Table <xref ref-type="table" rid="T2"/>.</p>
</sec>
<sec id="Ch1.S2.SS4">
  <label>2.4</label><title>Satellite products: phytoplankton physiological stress indicators</title>
      <p id="d2e1626">We computed two biomass-independent phytoplankton nutrient-stress indices. The fluorescence quantum yield (<inline-formula><mml:math id="M60" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="normal">Φ</mml:mi><mml:mi mathvariant="normal">Sat</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>) is indicative of the physiological stress of phytoplankton cells due to iron limitation (higher <inline-formula><mml:math id="M61" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="normal">Φ</mml:mi><mml:mi mathvariant="normal">Sat</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M62" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> more iron stress) and was computed using intermediate products of [Chl <italic>a</italic>], normalized fluorescence line height (nFLH), and iPAR <xref ref-type="bibr" rid="bib1.bibx6" id="paren.46"/>. iPAR was obtained from the output of the function l2gen of SeaDAS <xref ref-type="bibr" rid="bib1.bibx26" id="paren.47"/>, and the computation of nFLH is detailed in Sect. <xref ref-type="sec" rid="App1.Ch1.S1.SS1"/> in the Appendix.</p>
      <p id="d2e1670"><xref ref-type="bibr" rid="bib1.bibx51" id="text.48"/> raised concerns about the limitations of using MODIS-Aqua data to compute <inline-formula><mml:math id="M63" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="normal">Φ</mml:mi><mml:mi mathvariant="normal">Sat</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> and infer phytoplankton iron stress. MODIS-Aqua overpass time (<inline-formula><mml:math id="M64" display="inline"><mml:mo lspace="0mm">∼</mml:mo></mml:math></inline-formula> 13:30 local at the equator) coincides with the time of the day when non-photochemical quenching (NPQ) is maximal, significantly reducing the signal-to-noise ratio of chlorophyll fluorescence after NPQ normalization (that is, FChl <italic>a</italic><sub>NPQ</sub>) and, consequently, <inline-formula><mml:math id="M66" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="normal">Φ</mml:mi><mml:mi mathvariant="normal">Sat</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>. In the present study, we also computed <inline-formula><mml:math id="M67" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="normal">Φ</mml:mi><mml:mi mathvariant="normal">Sat</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> from MODIS-Terra and OLCI Sentinel-3a, which sample the equator around 10 and 10:30 local time when the NPQ is likely different from the NPQ at the time of MODIS-Aqua overpass. Because the final product <inline-formula><mml:math id="M68" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="normal">Φ</mml:mi><mml:mi mathvariant="normal">Sat</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> is merged from MODIS-Aqua, MODIS-Terra, and OLCI Sentinel-3a, it benefits from an improved signal-to-noise ratio due to the combination of measurements taken at different times of the day. The quality of <inline-formula><mml:math id="M69" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="normal">Φ</mml:mi><mml:mi mathvariant="normal">Sat</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> computed here also benefited from the use of the POLYMER atmospheric correction scheme, which improves data retrieval around clouds and in sun-glint conditions. This is particularly important because the intermediate product of nFLH often shows artificially high values near clouds, likely due to the adjacency effect.</p>
      <p id="d2e1749">We derived a second physiological proxy that is indicative of phytoplankton stress due to macronutrient limitation. When incident light decreases, phytoplankton cells maintain their growth rate by upregulating chlorophyll pigment synthesis to compensate for the decreased solar energy available <xref ref-type="bibr" rid="bib1.bibx35 bib1.bibx57" id="paren.49"/>. In contrast, phytoplankton cells under macronutrient stress downregulate chlorophyll pigments synthesis <xref ref-type="bibr" rid="bib1.bibx7 bib1.bibx48 bib1.bibx57" id="paren.50"/>. The ratio of [Chl <italic>a</italic>] to <inline-formula><mml:math id="M70" display="inline"><mml:mrow><mml:msub><mml:mi>C</mml:mi><mml:mi mathvariant="normal">phyto</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> for a given growth irradiance represents the total physiological stress (<inline-formula><mml:math id="M71" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">η</mml:mi><mml:mi mathvariant="normal">obs</mml:mi></mml:msub><mml:mo>=</mml:mo><mml:mstyle displaystyle="false"><mml:mfrac style="text"><mml:mrow><mml:mo>[</mml:mo><mml:mi mathvariant="normal">Chl</mml:mi><mml:mspace width="0.25em" linebreak="nobreak"/><mml:mi>a</mml:mi><mml:mo>]</mml:mo></mml:mrow><mml:mrow><mml:mo>[</mml:mo><mml:msub><mml:mi>C</mml:mi><mml:mi mathvariant="normal">phyto</mml:mi></mml:msub><mml:mo>]</mml:mo></mml:mrow></mml:mfrac></mml:mstyle></mml:mrow></mml:math></inline-formula>), and encompasses the physiological stress due to SST, light, and macronutrients availability (<xref ref-type="bibr" rid="bib1.bibx41" id="altparen.51"/>; <xref ref-type="bibr" rid="bib1.bibx48" id="altparen.52"/>; <xref ref-type="bibr" rid="bib1.bibx57" id="altparen.53"/>). Although small changes in <inline-formula><mml:math id="M72" display="inline"><mml:mrow><mml:mo>[</mml:mo><mml:mi mathvariant="normal">Chl</mml:mi><mml:mspace linebreak="nobreak" width="0.25em"/><mml:mi>a</mml:mi><mml:mo>]</mml:mo><mml:mo>/</mml:mo><mml:mo>[</mml:mo><mml:msub><mml:mi>C</mml:mi><mml:mi mathvariant="normal">phyto</mml:mi></mml:msub><mml:mo>]</mml:mo></mml:mrow></mml:math></inline-formula> have been attributed to temperature variations for a single species in ex situ experiments <xref ref-type="bibr" rid="bib1.bibx94" id="paren.54"/>, it is likely that the species present in natural assemblages are adapted to their ambient temperature conditions. Given that SST is relatively homogeneous in this region on the timescale of physiological adaptation (i.e. a few days), we assume that all species are adapted to their ambient temperature conditions, making the impact of SST on <inline-formula><mml:math id="M73" display="inline"><mml:mrow><mml:mo>[</mml:mo><mml:mi mathvariant="normal">Chl</mml:mi><mml:mspace linebreak="nobreak" width="0.25em"/><mml:mi>a</mml:mi><mml:mo>]</mml:mo><mml:mo>/</mml:mo><mml:mo>[</mml:mo><mml:msub><mml:mi>C</mml:mi><mml:mi mathvariant="normal">phyto</mml:mi></mml:msub><mml:mo>]</mml:mo></mml:mrow></mml:math></inline-formula> negligible at the community level. Consequently, we can isolate the physiological stress due to macronutrient limitation (<inline-formula><mml:math id="M74" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">η</mml:mi><mml:mo>′</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula>) by normalizing <inline-formula><mml:math id="M75" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">η</mml:mi><mml:mi mathvariant="normal">obs</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> by the photoadaptation effect. As part of this process, we computed the median light in the mixed layer (<inline-formula><mml:math id="M76" display="inline"><mml:mrow><mml:msub><mml:mi>I</mml:mi><mml:mi mathvariant="normal">ML</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>) as follows:

            <disp-formula id="Ch1.E2" content-type="numbered"><label>2</label><mml:math id="M77" display="block"><mml:mrow><mml:msub><mml:mi>I</mml:mi><mml:mi mathvariant="normal">ML</mml:mi></mml:msub><mml:mo>=</mml:mo><mml:mtext>PAR</mml:mtext><mml:mo>×</mml:mo><mml:msup><mml:mi>e</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">0.5</mml:mn><mml:mo>×</mml:mo><mml:mtext>MLD</mml:mtext><mml:mo>×</mml:mo><mml:msub><mml:mi mathvariant="normal">Kd</mml:mi><mml:mi mathvariant="normal">PAR</mml:mi></mml:msub></mml:mrow></mml:msup><mml:mspace linebreak="nobreak" width="0.25em"/><mml:mo>[</mml:mo><mml:mrow class="unit"><mml:mi mathvariant="normal">E</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">m</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:msup><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">d</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow><mml:mo>]</mml:mo></mml:mrow></mml:math></disp-formula>

          where MLD is the mixed layer depth extracted from the Copernicus Marine Service Global Ocean Physics Reanalysis products <xref ref-type="bibr" rid="bib1.bibx34" id="paren.55"/>, PAR is the standard daily PAR output of the function l2gen of SeaDAS <xref ref-type="bibr" rid="bib1.bibx36" id="paren.56"/>, and <inline-formula><mml:math id="M78" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="normal">Kd</mml:mi><mml:mi mathvariant="normal">PAR</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> is the diffuse attenuation coefficient of photosynthetically active radiance. <inline-formula><mml:math id="M79" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="normal">Kd</mml:mi><mml:mi mathvariant="normal">PAR</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> was approximated from the 1 % light horizon (<inline-formula><mml:math id="M80" display="inline"><mml:mrow><mml:msub><mml:mi>Z</mml:mi><mml:mi mathvariant="normal">eu</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>):

            <disp-formula id="Ch1.E3" content-type="numbered"><label>3</label><mml:math id="M81" display="block"><mml:mrow><mml:msub><mml:mi mathvariant="normal">Kd</mml:mi><mml:mi mathvariant="normal">PAR</mml:mi></mml:msub><mml:mo>=</mml:mo><mml:mo>-</mml:mo><mml:mstyle displaystyle="true"><mml:mfrac style="display"><mml:mrow><mml:mi>ln⁡</mml:mi><mml:mo>(</mml:mo><mml:mn mathvariant="normal">0.01</mml:mn><mml:mo>)</mml:mo></mml:mrow><mml:mrow><mml:msub><mml:mi>Z</mml:mi><mml:mi mathvariant="normal">eu</mml:mi></mml:msub></mml:mrow></mml:mfrac></mml:mstyle><mml:mspace linebreak="nobreak" width="0.33em"/><mml:mo>[</mml:mo><mml:mrow class="unit"><mml:msup><mml:mi mathvariant="normal">m</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow><mml:mo>]</mml:mo></mml:mrow></mml:math></disp-formula>

          where <inline-formula><mml:math id="M82" display="inline"><mml:mrow><mml:msub><mml:mi>Z</mml:mi><mml:mi mathvariant="normal">eu</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> is estimated from [Chl <italic>a</italic>] following <xref ref-type="bibr" rid="bib1.bibx73" id="text.57"/> Eq. (10):

            <disp-formula id="Ch1.E4" content-type="numbered"><label>4</label><mml:math id="M83" display="block"><mml:mrow><mml:msub><mml:mi>log⁡</mml:mi><mml:mn mathvariant="normal">10</mml:mn></mml:msub><mml:msub><mml:mi>Z</mml:mi><mml:mi mathvariant="normal">eu</mml:mi></mml:msub><mml:mo>=</mml:mo><mml:mn mathvariant="normal">1.524</mml:mn><mml:mo>-</mml:mo><mml:mn mathvariant="normal">0.436</mml:mn><mml:mi>X</mml:mi><mml:mo>-</mml:mo><mml:mn mathvariant="normal">0.0145</mml:mn><mml:msup><mml:mi>X</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msup><mml:mo>+</mml:mo><mml:mn mathvariant="normal">0.0186</mml:mn><mml:msup><mml:mi>X</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msup><mml:mspace width="0.33em" linebreak="nobreak"/><mml:mo>[</mml:mo><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi></mml:mrow><mml:mo>]</mml:mo></mml:mrow></mml:math></disp-formula>

          with <inline-formula><mml:math id="M84" display="inline"><mml:mrow><mml:mi>X</mml:mi><mml:mo>=</mml:mo><mml:msub><mml:mi>log⁡</mml:mi><mml:mn mathvariant="normal">10</mml:mn></mml:msub><mml:mo>[</mml:mo><mml:mi mathvariant="normal">Chl</mml:mi><mml:mspace linebreak="nobreak" width="0.25em"/><mml:mi>a</mml:mi><mml:mo>]</mml:mo></mml:mrow></mml:math></inline-formula>. We partitioned all <inline-formula><mml:math id="M85" display="inline"><mml:mrow><mml:msub><mml:mi>I</mml:mi><mml:mi mathvariant="normal">ML</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M86" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">η</mml:mi><mml:mi mathvariant="normal">obs</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> of the four case study regions into two-dimensional bins spanning the entire dynamic range of <inline-formula><mml:math id="M87" display="inline"><mml:mrow><mml:msub><mml:mi>I</mml:mi><mml:mi mathvariant="normal">ML</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M88" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">η</mml:mi><mml:mi mathvariant="normal">obs</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> of the entire dataset. Because the quantity of level-2 data is too large for our computing capacity, we used 8 d medians merged products of all variables used in this computation (see merging method Sect. <xref ref-type="sec" rid="Ch1.S2.SS5"/>). We identified the <inline-formula><mml:math id="M89" display="inline"><mml:mrow><mml:msup><mml:mn mathvariant="normal">1</mml:mn><mml:mrow><mml:mi>s</mml:mi><mml:mi>t</mml:mi></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M90" display="inline"><mml:mrow><mml:msup><mml:mn mathvariant="normal">95</mml:mn><mml:mrow><mml:mi>t</mml:mi><mml:mi>h</mml:mi></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> percentiles of <inline-formula><mml:math id="M91" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">η</mml:mi><mml:mi mathvariant="normal">obs</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> for each <inline-formula><mml:math id="M92" display="inline"><mml:mrow><mml:msub><mml:mi>I</mml:mi><mml:mi mathvariant="normal">ML</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> bin to which we fitted a simple exponential model (Fig. <xref ref-type="fig" rid="F2"/>):

            <disp-formula id="Ch1.E5" content-type="numbered"><label>5</label><mml:math id="M93" display="block"><mml:mrow><mml:msub><mml:mover accent="true"><mml:mi mathvariant="italic">η</mml:mi><mml:mo mathvariant="normal" stretchy="false">^</mml:mo></mml:mover><mml:mi mathvariant="normal">obs</mml:mi></mml:msub><mml:mo>=</mml:mo><mml:mi>A</mml:mi><mml:mo>+</mml:mo><mml:mi>B</mml:mi><mml:mo>×</mml:mo><mml:msup><mml:mi>exp⁡</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mi>C</mml:mi><mml:mo>×</mml:mo><mml:msub><mml:mi>I</mml:mi><mml:mi mathvariant="normal">ML</mml:mi></mml:msub></mml:mrow></mml:msup></mml:mrow></mml:math></disp-formula>

          The model equations fitted on the 1st and 95th percentiles of <inline-formula><mml:math id="M94" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">η</mml:mi><mml:mi mathvariant="normal">obs</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> represent the range of acclimation for the entire dataset.</p>

      <fig id="F2"><label>Figure 2</label><caption><p id="d2e2306">Percentiles of <inline-formula><mml:math id="M95" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">η</mml:mi><mml:mi mathvariant="normal">obs</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> per <inline-formula><mml:math id="M96" display="inline"><mml:mrow><mml:msub><mml:mi>I</mml:mi><mml:mi mathvariant="normal">ML</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> bins. The blue and red solid lines highlight the 95th and 1st percentiles in each <inline-formula><mml:math id="M97" display="inline"><mml:mrow><mml:msub><mml:mi>I</mml:mi><mml:mi mathvariant="normal">ML</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> bin. The dashed lines represent the equations Eq. (<xref ref-type="disp-formula" rid="Ch1.E5"/>) fitted on them.</p></caption>
          <graphic xlink:href="https://bg.copernicus.org/articles/23/2687/2026/bg-23-2687-2026-f02.png"/>

        </fig>

      <p id="d2e2350">For each pixel, we computed the difference between the macronutrient replete state (<inline-formula><mml:math id="M98" display="inline"><mml:mover accent="true"><mml:mrow><mml:msub><mml:mi mathvariant="italic">η</mml:mi><mml:mrow><mml:msub><mml:mi mathvariant="normal">obs</mml:mi><mml:mi mathvariant="normal">max</mml:mi></mml:msub></mml:mrow></mml:msub></mml:mrow><mml:mo mathvariant="normal" stretchy="true">^</mml:mo></mml:mover></mml:math></inline-formula>) and the observed state <inline-formula><mml:math id="M99" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">η</mml:mi><mml:mi mathvariant="normal">obs</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> relative to the full span of <inline-formula><mml:math id="M100" display="inline"><mml:mi mathvariant="italic">η</mml:mi></mml:math></inline-formula> for the pixel's given <inline-formula><mml:math id="M101" display="inline"><mml:mrow><mml:msub><mml:mi>I</mml:mi><mml:mi mathvariant="normal">ML</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> to provide a quantitative metric of the degree of macronutrient stress:

            <disp-formula id="Ch1.E6" content-type="numbered"><label>6</label><mml:math id="M102" display="block"><mml:mrow><mml:msup><mml:mi mathvariant="italic">η</mml:mi><mml:mo>′</mml:mo></mml:msup><mml:mo>=</mml:mo><mml:mstyle displaystyle="true"><mml:mfrac style="display"><mml:mrow><mml:mover accent="true"><mml:mrow><mml:msub><mml:mi mathvariant="italic">η</mml:mi><mml:mrow><mml:msub><mml:mi mathvariant="normal">obs</mml:mi><mml:mi mathvariant="normal">max</mml:mi></mml:msub></mml:mrow></mml:msub></mml:mrow><mml:mo stretchy="true" mathvariant="normal">^</mml:mo></mml:mover><mml:mo>-</mml:mo><mml:msub><mml:mi mathvariant="italic">η</mml:mi><mml:mi mathvariant="normal">obs</mml:mi></mml:msub></mml:mrow><mml:mrow><mml:mover accent="true"><mml:mrow><mml:msub><mml:mi mathvariant="italic">η</mml:mi><mml:mrow><mml:msub><mml:mi mathvariant="normal">obs</mml:mi><mml:mi mathvariant="normal">max</mml:mi></mml:msub></mml:mrow></mml:msub></mml:mrow><mml:mo stretchy="true" mathvariant="normal">^</mml:mo></mml:mover><mml:mo>-</mml:mo><mml:mover accent="true"><mml:mrow><mml:msub><mml:mi mathvariant="italic">η</mml:mi><mml:mrow><mml:msub><mml:mi mathvariant="normal">obs</mml:mi><mml:mi mathvariant="normal">min</mml:mi></mml:msub></mml:mrow></mml:msub></mml:mrow><mml:mo mathvariant="normal" stretchy="true">^</mml:mo></mml:mover></mml:mrow></mml:mfrac></mml:mstyle><mml:mspace linebreak="nobreak" width="0.33em"/><mml:mo>[</mml:mo><mml:mtext>unitless</mml:mtext><mml:mo>]</mml:mo></mml:mrow></mml:math></disp-formula>

          Thus, <inline-formula><mml:math id="M103" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">η</mml:mi><mml:mo>′</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula> is scaled to the parameter space of the specific remote sensing dataset used for this study, and is representative of the relative nutrient stress in the studied regions over the 6-month time series. We arbitrarily defined three macronutrient stress categories, classifying phytoplankton populations as macronutrient-replete when <inline-formula><mml:math id="M104" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">η</mml:mi><mml:mo>′</mml:mo></mml:msup><mml:mo>≤</mml:mo><mml:mn mathvariant="normal">0.2</mml:mn></mml:mrow></mml:math></inline-formula> (including negative values), moderately stressed when <inline-formula><mml:math id="M105" display="inline"><mml:mrow><mml:mn mathvariant="normal">0.2</mml:mn><mml:mo>&lt;</mml:mo><mml:msup><mml:mi mathvariant="italic">η</mml:mi><mml:mo>′</mml:mo></mml:msup><mml:mo>≤</mml:mo><mml:mn mathvariant="normal">0.6</mml:mn></mml:mrow></mml:math></inline-formula>, and highly stressed when <inline-formula><mml:math id="M106" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">η</mml:mi><mml:mo>′</mml:mo></mml:msup><mml:mo>&gt;</mml:mo><mml:mn mathvariant="normal">0.6</mml:mn></mml:mrow></mml:math></inline-formula>.</p>
</sec>
<sec id="Ch1.S2.SS5">
  <label>2.5</label><title>Satellites products adjustment and merging</title>
      <p id="d2e2542">Level-2 satellite estimates of SST, [Chl <italic>a</italic>], and iPAR (different from the daily PAR used in <inline-formula><mml:math id="M107" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">η</mml:mi><mml:mo>′</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula> computation) were individually calibrated against in situ measurements obtained from the underway system of the ship to minimize inter-sensor variability and biases. We performed match-ups and robust linear regressions between these variables measured in situ and their satellite counterparts derived from the calibration dataset (Appendix <xref ref-type="sec" rid="App1.Ch1.S1.SS2"/>). We used the parameters from their respective robust linear regressions (see Table <xref ref-type="table" rid="TA1"/>) to produce “calibrated” products before merging them. For parameters derived from remote sensing data with no comparable in situ measurements (e.g. <inline-formula><mml:math id="M108" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="normal">Φ</mml:mi><mml:mi mathvariant="normal">Sat</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>), we adjusted the values from all sensors to align with those of MODIS-Aqua, minimizing inter-sensor discrepancies. This alternative method improved the smoothness of the final merged product and the delineation of spatial patterns. However, potential biases associated with the retrieval of products not calibrated against in situ data remained unconstrained. Although in situ <inline-formula><mml:math id="M109" display="inline"><mml:mrow><mml:msub><mml:mi>b</mml:mi><mml:mi mathvariant="normal">bp</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> data were available, the relation between in situ <inline-formula><mml:math id="M110" display="inline"><mml:mrow><mml:msub><mml:mi>b</mml:mi><mml:mi mathvariant="normal">bp</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> and satellite <inline-formula><mml:math id="M111" display="inline"><mml:mrow><mml:msub><mml:mi>b</mml:mi><mml:mi mathvariant="normal">bp</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> was very sensitive to match-up criteria, and the linear regressions were not well constrained (see Appendix <xref ref-type="sec" rid="App1.Ch1.S1.SS4"/>). The coefficients used to align the data from different satellite sensors with in situ <inline-formula><mml:math id="M112" display="inline"><mml:mrow><mml:msub><mml:mi>b</mml:mi><mml:mi mathvariant="normal">bp</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> were inaccurate, leading to noisy merged satellite <inline-formula><mml:math id="M113" display="inline"><mml:mrow><mml:msub><mml:mi>b</mml:mi><mml:mi mathvariant="normal">bp</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> products. Moreover, an artifact was discovered in MODISA and MODIST <inline-formula><mml:math id="M114" display="inline"><mml:mrow><mml:msub><mml:mi>b</mml:mi><mml:mi mathvariant="normal">bp</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> maps in ultra-oligotrophic regions (<inline-formula><mml:math id="M115" display="inline"><mml:mrow><mml:mo>[</mml:mo><mml:mi mathvariant="normal">Chl</mml:mi><mml:mspace width="0.25em" linebreak="nobreak"/><mml:mi>a</mml:mi><mml:mo>]</mml:mo><mml:mo>&lt;</mml:mo><mml:mn mathvariant="normal">0.04</mml:mn></mml:mrow></mml:math></inline-formula> mg m<sup>−3</sup>; see Appendices <xref ref-type="sec" rid="App1.Ch1.S1.SS3"/> and <xref ref-type="fig" rid="FA4"/>). Therefore, only OLCI and VIIRS-SNPP <inline-formula><mml:math id="M117" display="inline"><mml:mrow><mml:msub><mml:mi>b</mml:mi><mml:mi mathvariant="normal">bp</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> were binned into the 8 d median products, and OLCI was nudged to best match VIIRS-SNPP's values. We performed this cross-satellite sensor nudging only when: (1) at least 10 % of the total pixels of the adjusted sensor and the reference sensor were valid (i.e. unflagged), (2) the slope of the fit was positive, (3) <inline-formula><mml:math id="M118" display="inline"><mml:mrow><mml:msup><mml:mi>R</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msup><mml:mo>≥</mml:mo><mml:mn mathvariant="normal">0.9</mml:mn></mml:mrow></mml:math></inline-formula>, and (4) nRMSE <inline-formula><mml:math id="M119" display="inline"><mml:mrow><mml:mo>≤</mml:mo><mml:mn mathvariant="normal">10</mml:mn></mml:mrow></mml:math></inline-formula> %. Before computing the merged products of a given 8 d period and a given region, we grouped all re-projected level-2 images and removed outliers based on the distribution of all individual measurements of the grouped scenes <xref ref-type="bibr" rid="bib1.bibx22" id="paren.58"><named-content content-type="pre">following the same outlier removal method as in</named-content><named-content content-type="post">Appendix C</named-content></xref>. For each case study presented here, we produced a 6-month-long time series of 8 d medians of each of the variables presented in Table <xref ref-type="table" rid="T2"/> (i.e. Animations S1, S2, S3, and S4 in the Supplement), following the approach of <xref ref-type="bibr" rid="bib1.bibx22" id="text.59"/>. Each case study region was centered geographically on an island sampled during the <italic>Tara</italic> Pacific expedition (Fig. <xref ref-type="fig" rid="F3"/>), and each 6-month time series was centered temporally on the day of in situ sampling by <italic>Tara</italic> <xref ref-type="bibr" rid="bib1.bibx43 bib1.bibx65" id="paren.60"/>. We propagated the error associated with the satellite product retrieval, nudging, and merging throughout each step to represent the final binned product uncertainty denoted as the standard error of mean (i.e. SEM) of the merged product (e.g. <inline-formula><mml:math id="M120" display="inline"><mml:mrow><mml:msubsup><mml:mtext>SEM</mml:mtext><mml:mrow><mml:mo>[</mml:mo><mml:msub><mml:mi mathvariant="normal">Φ</mml:mi><mml:mi mathvariant="normal">Sat</mml:mi></mml:msub><mml:msub><mml:mo>]</mml:mo><mml:mi mathvariant="normal">IME</mml:mi></mml:msub></mml:mrow><mml:mi mathvariant="normal">f</mml:mi></mml:msubsup></mml:mrow></mml:math></inline-formula>; see Appendix <xref ref-type="sec" rid="App1.Ch1.S1.SS4"/>). We used this final uncertainty to determine if changes associated with an IME are significant.</p>

      <fig id="F3" specific-use="star"><label>Figure 3</label><caption><p id="d2e2768">Average of MODIS-Aqua monthly chlorophyll <italic>a</italic> concentration over the entire study period (1 June 2016–30 September 2017) and region, overlaid with the area covered by the binned map of each studied archipelago.</p></caption>
          <graphic xlink:href="https://bg.copernicus.org/articles/23/2687/2026/bg-23-2687-2026-f03.jpg"/>

        </fig>

</sec>
<sec id="Ch1.S2.SS6">
  <label>2.6</label><title>Island Mass Effect Detection</title>
      <p id="d2e2788">We detected IMEs on each 8 d median map using an iterative method to define a [Chl <italic>a</italic>] contour around each individual IME <xref ref-type="bibr" rid="bib1.bibx22" id="paren.61"><named-content content-type="pre">see method in</named-content></xref>. We used the islands and submerged reefs database from <xref ref-type="bibr" rid="bib1.bibx22" id="text.62"/>, which was consolidated from the General Bathymetric Chart of the Oceans (GEBCO) database <xref ref-type="bibr" rid="bib1.bibx39" id="paren.63"/>, the high-resolution global island database <xref ref-type="bibr" rid="bib1.bibx83 bib1.bibx84" id="paren.64"/>, and the submerged reef database from <xref ref-type="bibr" rid="bib1.bibx72" id="text.65"/>. Following the methodology in <xref ref-type="bibr" rid="bib1.bibx72" id="text.66"/> and <xref ref-type="bibr" rid="bib1.bibx22" id="text.67"/>, submerged topographic features shallower than 30 m depth are treated as islands in the IME detection algorithm; therefore, the term IME can also be used in this study to qualify enhanced [Chl <italic>a</italic>] zones associated with seamounts. We used the modeled daily surface currents data for the detection algorithm <xref ref-type="bibr" rid="bib1.bibx34" id="paren.68"><named-content content-type="pre">i.e. global ocean ensemble physics reanalysis products distributed by Copernicus Marine Services;</named-content></xref>. As in previous studies <xref ref-type="bibr" rid="bib1.bibx72 bib1.bibx22" id="paren.69"/>, we define the background ocean (BO) reference zone associated with each IME zone as an area equal in size to the corresponding IME zone but located outside of it, closest to the island or submerged reef mask. We focused our analysis on archipelagos located near the center of each study region. We excluded IMEs detected near regional domain boundaries from the analysis because one of the stopping criteria of the detection algorithm could be triggered prematurely near the domain boundaries, thus underestimating the area of that IME <xref ref-type="bibr" rid="bib1.bibx22" id="paren.70"/>. Large IME patches – such as those associated with the Society Islands, Samoa, and Fiji – frequently stem from the combined effects of multiple islands, each of which may generate its own local IME superimposed on the broader signal of the main island <xref ref-type="bibr" rid="bib1.bibx22" id="paren.71"/>. To account for this, we identified all islands that were included at least once within the IME associated with each main archipelago during the analyzed 6-month period and selected all IME events linked to this set of islands for each region. Using this approach, we detected a total of 2025 individual IME realizations associated with the four studied archipelagos over the six-month study periods. We then extracted bio-optical properties derived from satellite data for all these 2025 IMEs and their associated BO areas. To identify consistent patterns across the South Pacific Subtropical Basin and all seasons sampled, we performed a principal component analysis (PCA) using the average bio-optical properties of all the 2025 individual IME realizations detected and their associated BO areas. Only variables derived from satellite measurements and assimilative models were used in this analysis to ensure sufficient data coverage (i.e. [Chl <italic>a</italic>], <inline-formula><mml:math id="M121" display="inline"><mml:mrow><mml:msub><mml:mi>b</mml:mi><mml:mi mathvariant="normal">bp</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>, <inline-formula><mml:math id="M122" display="inline"><mml:mrow><mml:mo>[</mml:mo><mml:mi mathvariant="normal">Chl</mml:mi><mml:mspace width="0.25em" linebreak="nobreak"/><mml:mi>a</mml:mi><mml:mo>]</mml:mo><mml:mo>/</mml:mo><mml:mo>[</mml:mo><mml:msub><mml:mi>C</mml:mi><mml:mi mathvariant="normal">phyto</mml:mi></mml:msub><mml:mo>]</mml:mo></mml:mrow></mml:math></inline-formula>, SST, MLD, <inline-formula><mml:math id="M123" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="normal">Φ</mml:mi><mml:mi mathvariant="normal">Sat</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>, and <inline-formula><mml:math id="M124" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">η</mml:mi><mml:mo>′</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula>). Additionally, we identified in situ measurements located within IMEs contours to validate patterns we observed in satellite data and complement the interpretation with information on pigment ratios as proxies for phytoplankton community composition, as well as macronutrient and iron concentrations. To examine the differences between coastal IMEs and advected IMEs, we categorized all in situ observations (i.e. continuous underway measurements, macronutrient concentrations, and iron concentrations) into three groups: background ocean (BO), coastal IME, and advected IME. In situ data located within an IME contour detected from satellite observations and over bathymetry shallower than 100 m were classified as coastal IME, whereas all remaining in situ data within IME contours were classified as advected IME (see Appendix <xref ref-type="sec" rid="App1.Ch1.S2"/>). We limited this categorization to in situ data because satellite data in shallow areas are, in general, not retrieved in clear water conditions due to the impact of bottom reflectance on radiometric estimates.</p>
</sec>
</sec>
<sec id="Ch1.S3">
  <label>3</label><title>Results and Discussion</title>
      <p id="d2e2910">Six-month-long time-series data highlighted relatively strong seasonal variability in IME magnitude <xref ref-type="bibr" rid="bib1.bibx22" id="paren.72"/>, but also showed consistent contrasts between properties of IME and BO zones across the longitudinal gradient. IMEs associated with the studied islands were consistently characterized by higher average <inline-formula><mml:math id="M125" display="inline"><mml:mrow><mml:mo>[</mml:mo><mml:mi mathvariant="normal">Chl</mml:mi><mml:mspace width="0.25em" linebreak="nobreak"/><mml:mi>a</mml:mi><mml:mo>]</mml:mo><mml:mo>/</mml:mo><mml:mo>[</mml:mo><mml:msub><mml:mi>C</mml:mi><mml:mi mathvariant="normal">phyto</mml:mi></mml:msub><mml:mo>]</mml:mo></mml:mrow></mml:math></inline-formula>, and lower averages of <inline-formula><mml:math id="M126" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="normal">Φ</mml:mi><mml:mi mathvariant="normal">Sat</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M127" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">η</mml:mi><mml:mo>′</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula> relative to BO (Figs. <xref ref-type="fig" rid="F4"/> and <xref ref-type="fig" rid="FB1"/>). These results are consistent with the hypothesis that IMEs are areas where nutrient limitation is alleviated compared to the background ocean.</p>
      <p id="d2e2969">In each region studied, the difference between the IME and BO centroids is aligned with the vector of <inline-formula><mml:math id="M128" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="normal">Φ</mml:mi><mml:mi mathvariant="normal">Sat</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> and is larger in the western basin (i.e. Samoa, and Fiji and Tonga case studies) than in the eastern basin of the SPSG (i.e. Rapa Nui and Society Islands case studies; Figs. <xref ref-type="fig" rid="F4"/> and <xref ref-type="fig" rid="FB1"/>), suggesting that iron enrichment in IME zones is higher in the western Pacific compared to the eastern basin. This difference may be due to higher concentration of active shallow and deep hydrothermal vents located around islands and seamounts in the western Pacific basin, which serve as substantial sources of iron in this region <xref ref-type="bibr" rid="bib1.bibx13 bib1.bibx47" id="paren.73"/>. Another key oceanographic difference between the eastern and western SPSG is the depth of the nutricline, which is generally deeper in the east, particularly around Rapa Nui <xref ref-type="bibr" rid="bib1.bibx66 bib1.bibx81" id="paren.74"><named-content content-type="pre"><inline-formula><mml:math id="M129" display="inline"><mml:mrow><mml:mo>∼</mml:mo><mml:mn mathvariant="normal">150</mml:mn></mml:mrow></mml:math></inline-formula>–220 m in the eastern basin versus 70–80 m in the western basin;</named-content></xref>. Consequently, wind-driven divergence in the eastern basin is more likely to upwell nutrient-depleted water from above the nutricline. In addition, for a given wind speed, the magnitude of upwelling and macronutrient enrichment is expected to be stronger around large islands with long and continuous coastlines, such as Viti Levu in the Fiji archipelago, than around isolated small islands like Rapa Nui or archipelagos of smaller islands such as the Society Islands <xref ref-type="bibr" rid="bib1.bibx33" id="paren.75"/>.</p>
      <p id="d2e3008">The Society Islands, Samoa, and Fiji-Tonga IMEs were characterized by reduced <inline-formula><mml:math id="M130" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">η</mml:mi><mml:mo>′</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula> relative to their respective BO zones (Fig. <xref ref-type="fig" rid="F4"/>). Two phases of IME occurred around Rapa Nui. The first phase, the austral winter phase, was characterized by higher vertical mixing (i.e. deeper MLD), lower SST, and no apparent correlation of the IME with <inline-formula><mml:math id="M131" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">η</mml:mi><mml:mo>′</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula> (i.e. circles located at the top part of the scatter plot). The second phase, the austral summer phase, was characterized by shallower MLD, higher SST, and correlations between IME and lower macronutrient stress (i.e. circles located in the middle of the scatter plot). The points corresponding to the austral winter phase are distinct from the austral summer phase, and exhibit similar properties to the Society Islands' IME (Fig. <xref ref-type="fig" rid="F4"/>). Rapa Nui is located 10° S of Tahiti, just at the border of a strong SST latitudinal gradient visible south of Rapa Nui in the video supplements <xref ref-type="bibr" rid="bib1.bibx18" id="paren.76"><named-content content-type="pre">or at</named-content></xref>, suggesting that Rapa Nui's IME is characterized by different water mass properties than Tahiti during the austral winter.</p>

      <fig id="F4"><label>Figure 4</label><caption><p id="d2e3045">Principal component analysis of average chlorophyll <italic>a</italic> concentration ([Chl <italic>a</italic>]), backscattering coefficient at 443 nm (<inline-formula><mml:math id="M132" display="inline"><mml:mrow><mml:msub><mml:mi>b</mml:mi><mml:mi mathvariant="normal">bp</mml:mi></mml:msub><mml:mn mathvariant="normal">443</mml:mn></mml:mrow></mml:math></inline-formula>), ratio of [Chl <italic>a</italic>] to phytoplankton carbon (<inline-formula><mml:math id="M133" display="inline"><mml:mrow><mml:mo>[</mml:mo><mml:mi mathvariant="normal">Chl</mml:mi><mml:mspace linebreak="nobreak" width="0.25em"/><mml:mi>a</mml:mi><mml:mo>]</mml:mo><mml:mo>/</mml:mo><mml:mo>[</mml:mo><mml:msub><mml:mi>C</mml:mi><mml:mi mathvariant="normal">phyto</mml:mi></mml:msub><mml:mo>]</mml:mo></mml:mrow></mml:math></inline-formula>), iron stress index (<inline-formula><mml:math id="M134" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="normal">Φ</mml:mi><mml:mi mathvariant="normal">Sat</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>; iron stress index), macronutrient stress index (<inline-formula><mml:math id="M135" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">η</mml:mi><mml:mo>′</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula>), mixed layer depth (MLD), and sea surface temperature (SST) of all individual IME (blue outline) and background ocean (BO, black outline) zones detected in each 8 d period along the six-month time-series in all of the four case studies (<inline-formula><mml:math id="M136" display="inline"><mml:mrow><mml:mi>N</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">2025</mml:mn></mml:mrow></mml:math></inline-formula> realizations of IMEs). Small markers represent all individual IME and BO averages for each studied region, and larger markers represent their centroids. Surface current speed (“current spd”) is overlaid in black as a supplementary variable.</p></caption>
        <graphic xlink:href="https://bg.copernicus.org/articles/23/2687/2026/bg-23-2687-2026-f04.png"/>

      </fig>

      <p id="d2e3137">All IMEs, were characterized by moderate increases in <inline-formula><mml:math id="M137" display="inline"><mml:mrow><mml:msub><mml:mi>b</mml:mi><mml:mi mathvariant="normal">bp</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> at 443 nm (<inline-formula><mml:math id="M138" display="inline"><mml:mrow><mml:msub><mml:mi>b</mml:mi><mml:mi mathvariant="normal">bp</mml:mi></mml:msub><mml:mn mathvariant="normal">443</mml:mn></mml:mrow></mml:math></inline-formula>) and therefore increases in phytoplankton biomass (Figs. <xref ref-type="fig" rid="F4"/> and <xref ref-type="fig" rid="FB1"/>). The detected increase in <inline-formula><mml:math id="M139" display="inline"><mml:mrow><mml:msub><mml:mi>b</mml:mi><mml:mi mathvariant="normal">bp</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> in the eastern basin (Rapa Nui and Society Isl.) is only marginal but measurements from the continuous underway system show higher surface <inline-formula><mml:math id="M140" display="inline"><mml:mrow><mml:msub><mml:mi>c</mml:mi><mml:mi mathvariant="normal">p</mml:mi></mml:msub><mml:mn mathvariant="normal">660</mml:mn></mml:mrow></mml:math></inline-formula> values within all IME zones across the four case studies <xref ref-type="bibr" rid="bib1.bibx22" id="paren.77"/>. Assuming in situ sampling periods are representative of the six-month time-series, the increases in biomass associated with IMEs in the eastern basin were likely close to the detection limit of <inline-formula><mml:math id="M141" display="inline"><mml:mrow><mml:msub><mml:mi>b</mml:mi><mml:mi mathvariant="normal">bp</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> via satellite <xref ref-type="bibr" rid="bib1.bibx11" id="paren.78"><named-content content-type="pre">due to high uncertainty in retrieval, see Sect. <xref ref-type="sec" rid="App1.Ch1.S1.SS3"/>,</named-content></xref>. The ultra-oligotrophic ocean in the eastern basin is largely dominated by picophytoplankton that are tightly coupled with their grazers, heterotrophic and pigmented nanoflagellates, which have similar generation times on the order of a day <xref ref-type="bibr" rid="bib1.bibx29 bib1.bibx64 bib1.bibx96" id="paren.79"/>. This tight coupling may have prevented an accumulation of phytoplankton biomass detectable from remote sensing in this region.</p>
      <p id="d2e3217">In order to investigate the sources of nutrients associated with IME, we analyze incoming and outgoing transects around islands to identify markers of upwelling of deep nutrient-rich water to the surface. We also examined these transects to identify zones of minimum macronutrient or iron stresses corresponding to zones of higher biomass, macronutrient, and iron concentrations, which would inform on the origin of enrichments.</p>
<sec id="Ch1.S3.SS1">
  <label>3.1</label><title>IME and phytoplankton photophysiology</title>
      <p id="d2e3227">The IME detected around Fiji was characterized by a surface integrated [Chl <italic>a</italic>] enhancement of about 55 t m<sup>−1</sup> and covered a surface of about 500 000 km<sup>2</sup> at the time of sampling <xref ref-type="bibr" rid="bib1.bibx22" id="paren.80"/>. The increase of <inline-formula><mml:math id="M144" display="inline"><mml:mrow><mml:msub><mml:mi>c</mml:mi><mml:mi mathvariant="normal">p</mml:mi></mml:msub><mml:mn mathvariant="normal">660</mml:mn></mml:mrow></mml:math></inline-formula> (i.e. proxy for particulate organic carbon concentration; see Table <xref ref-type="table" rid="T1"/>) by a factor of <inline-formula><mml:math id="M145" display="inline"><mml:mo>∼</mml:mo></mml:math></inline-formula>15 observed over a <inline-formula><mml:math id="M146" display="inline"><mml:mrow><mml:mo>∼</mml:mo><mml:mn mathvariant="normal">10</mml:mn></mml:mrow></mml:math></inline-formula> km transect approaching shore, west of the archipelago, suggests the [Chl <italic>a</italic>] enhancement in the IME was associated with a significant increase in phytoplankton biomass <xref ref-type="bibr" rid="bib1.bibx22" id="paren.81"><named-content content-type="pre">Fig. 6 in</named-content></xref>. A distinct and synchronized decrease in SST and increase in SSS on 30 May <inline-formula><mml:math id="M147" display="inline"><mml:mrow><mml:mo>∼</mml:mo><mml:mn mathvariant="normal">10</mml:mn></mml:mrow></mml:math></inline-formula>:00 UTC indicated a change in seawater physical properties measured along the inbound transect to the Fiji archipelago (Fig. <xref ref-type="fig" rid="F5"/>B and C). This change in water mass physical properties was associated with a gradual decrease in the proportion of photoprotective carotenoids (<inline-formula><mml:math id="M148" display="inline"><mml:mrow><mml:mo>[</mml:mo><mml:mi mathvariant="normal">PPC</mml:mi><mml:mo>]</mml:mo><mml:mo>/</mml:mo><mml:mo>[</mml:mo><mml:mi mathvariant="normal">Chl</mml:mi><mml:mspace linebreak="nobreak" width="0.25em"/><mml:mi>a</mml:mi><mml:mo>]</mml:mo></mml:mrow></mml:math></inline-formula>) and a gradual increase in <inline-formula><mml:math id="M149" display="inline"><mml:mrow><mml:mo>[</mml:mo><mml:mi mathvariant="normal">Chl</mml:mi><mml:mspace width="0.25em" linebreak="nobreak"/><mml:mi>a</mml:mi><mml:mo>]</mml:mo><mml:mo>/</mml:mo><mml:mo>[</mml:mo><mml:msub><mml:mi>C</mml:mi><mml:mi mathvariant="normal">phyto</mml:mi></mml:msub><mml:mo>]</mml:mo></mml:mrow></mml:math></inline-formula> (Fig. <xref ref-type="fig" rid="F5"/>D and E). These two independent metrics of light acclimation had opposite trends, suggesting that the same forcing was impacting both of them. The proportion of <inline-formula><mml:math id="M150" display="inline"><mml:mrow><mml:mo>[</mml:mo><mml:mtext>PPC</mml:mtext><mml:mo>]</mml:mo></mml:mrow></mml:math></inline-formula> can be modulated by phytoplankton in response to changes in ambient light to prevent intracellular photo-oxidative stress <xref ref-type="bibr" rid="bib1.bibx24" id="paren.82"/>. Likewise, the proportion [Chl <italic>a</italic>] to [<inline-formula><mml:math id="M151" display="inline"><mml:mrow><mml:msub><mml:mi>C</mml:mi><mml:mi mathvariant="normal">phyto</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>] is modulated in response to light conditions, resulting in phytoplankton cells at the surface of the ocean characterized by lower <inline-formula><mml:math id="M152" display="inline"><mml:mrow><mml:mo>[</mml:mo><mml:mi mathvariant="normal">Chl</mml:mi><mml:mspace linebreak="nobreak" width="0.25em"/><mml:mi>a</mml:mi><mml:mo>]</mml:mo><mml:mo>/</mml:mo><mml:mo>[</mml:mo><mml:msub><mml:mi>C</mml:mi><mml:mi mathvariant="normal">phyto</mml:mi></mml:msub><mml:mo>]</mml:mo></mml:mrow></mml:math></inline-formula> and higher <inline-formula><mml:math id="M153" display="inline"><mml:mrow><mml:mo>[</mml:mo><mml:mi mathvariant="normal">PPC</mml:mi><mml:mo>]</mml:mo><mml:mo>/</mml:mo><mml:mo>[</mml:mo><mml:mi mathvariant="normal">Chl</mml:mi><mml:mspace width="0.25em" linebreak="nobreak"/><mml:mi>a</mml:mi><mml:mo>]</mml:mo></mml:mrow></mml:math></inline-formula> than cells residing at depth, where low levels of ambient light require more [Chl <italic>a</italic>] for photosynthesis but also cause less photo-oxidative stress, therefore requiring lower concentrations of photoprotective pigments. The lowest SST and <inline-formula><mml:math id="M154" display="inline"><mml:mrow><mml:mo>[</mml:mo><mml:mi mathvariant="normal">PPC</mml:mi><mml:mo>]</mml:mo><mml:mo>/</mml:mo><mml:mo>[</mml:mo><mml:mi mathvariant="normal">Chl</mml:mi><mml:mspace linebreak="nobreak" width="0.25em"/><mml:mi>a</mml:mi><mml:mo>]</mml:mo></mml:mrow></mml:math></inline-formula> and the highest <inline-formula><mml:math id="M155" display="inline"><mml:mrow><mml:mo>[</mml:mo><mml:mi mathvariant="normal">Chl</mml:mi><mml:mspace width="0.25em" linebreak="nobreak"/><mml:mi>a</mml:mi><mml:mo>]</mml:mo><mml:mo>/</mml:mo><mml:mo>[</mml:mo><mml:msub><mml:mi>C</mml:mi><mml:mi mathvariant="normal">phyto</mml:mi></mml:msub><mml:mo>]</mml:mo></mml:mrow></mml:math></inline-formula> of the inbound transect were measured just adjacent to the island's shelf break. These parameters changed suddenly when <italic>Tara</italic> sailed across the shelf through the Navula Passage west of the Fiji archipelago (i.e. coastal zone Fig. <xref ref-type="fig" rid="F5"/>D and E). Together, these synchronized trends observed with four independent measurements suggest an upward entrainment of water parcels and low-light adapted phytoplankton cells, an observation that is consistent with the occurrence of an upwelling event. Based on the spatial variability of these parameters, we estimate that this upwelling occurred in a <inline-formula><mml:math id="M156" display="inline"><mml:mo>∼</mml:mo></mml:math></inline-formula>170 km wide band adjacent to the island shelf west of Viti Levu at the time of sampling. <inline-formula><mml:math id="M157" display="inline"><mml:mrow><mml:mo>[</mml:mo><mml:mi mathvariant="normal">PPC</mml:mi><mml:mo>]</mml:mo><mml:mo>/</mml:mo><mml:mo>[</mml:mo><mml:mi mathvariant="normal">Chl</mml:mi><mml:mspace width="0.25em" linebreak="nobreak"/><mml:mi>a</mml:mi><mml:mo>]</mml:mo></mml:mrow></mml:math></inline-formula> was marginally lower, and <inline-formula><mml:math id="M158" display="inline"><mml:mrow><mml:mo>[</mml:mo><mml:mi mathvariant="normal">Chl</mml:mi><mml:mspace width="0.25em" linebreak="nobreak"/><mml:mi>a</mml:mi><mml:mo>]</mml:mo><mml:mo>/</mml:mo><mml:mo>[</mml:mo><mml:msub><mml:mi>C</mml:mi><mml:mi mathvariant="normal">phyto</mml:mi></mml:msub><mml:mo>]</mml:mo></mml:mrow></mml:math></inline-formula> was marginally higher, but overall heterogeneous in this IME detected in the outbound transect, suggesting a weaker upwelling of cells that are acclimated to low light to the surface than in the inbound transect. The surface currents were flowing southward at the time of sampling and the week before, suggesting that the IME detected south of Fiji was located downstream of Fiji. The inbound transect to Fiji crossed an IME episode associated with a submerged seamount located north of Fiji and not connected to the island shelf (15°39<sup>′</sup>38.2<sup>′′</sup> S, 175°51<sup>′</sup>59.8<sup>′′</sup> E; the IME is visible in the inbound panel of Fig. <xref ref-type="fig" rid="F5"/> but is outside the domain of the zoomed maps in Fig. <xref ref-type="fig" rid="F6"/>). This IME episode was also characterized by a synchronized decrease in <inline-formula><mml:math id="M163" display="inline"><mml:mrow><mml:mo>[</mml:mo><mml:mi mathvariant="normal">PPC</mml:mi><mml:mo>]</mml:mo><mml:mo>/</mml:mo><mml:mo>[</mml:mo><mml:mi mathvariant="normal">Chl</mml:mi><mml:mspace width="0.25em" linebreak="nobreak"/><mml:mi>a</mml:mi><mml:mo>]</mml:mo></mml:mrow></mml:math></inline-formula> and an increase in <inline-formula><mml:math id="M164" display="inline"><mml:mrow><mml:mo>[</mml:mo><mml:mi mathvariant="normal">Chl</mml:mi><mml:mspace linebreak="nobreak" width="0.25em"/><mml:mi>a</mml:mi><mml:mo>]</mml:mo><mml:mo>/</mml:mo><mml:mo>[</mml:mo><mml:msub><mml:mi>C</mml:mi><mml:mi mathvariant="normal">phyto</mml:mi></mml:msub><mml:mo>]</mml:mo></mml:mrow></mml:math></inline-formula>, consistent with the entrainment of low-light-adapted phytoplankton into the surface layer. This pattern suggests enhanced vertical mixing around the seamount, likely driven by the interaction between ambient currents and the seamount topography <xref ref-type="bibr" rid="bib1.bibx67 bib1.bibx93 bib1.bibx30 bib1.bibx62" id="paren.83"/>. Similar signals were detected southwest of Rapa Nui and Tahiti-Mo'orea, along the outbound transects, indicating that sub-surface phytoplankton populations were recently upwelled to the surface (see Appendix <xref ref-type="sec" rid="App1.Ch1.S2"/>). In contrast, there is no clear evidence that upwelling occurred around Samoa at the time of sampling (see Appendix <xref ref-type="sec" rid="App1.Ch1.S2"/>). Indeed, in situ data show that the IME advected offshore had the same characteristics as the water mass closest to shore (that is, higher SST, lower SSS, and no significant differences in <inline-formula><mml:math id="M165" display="inline"><mml:mrow><mml:mo>[</mml:mo><mml:mi mathvariant="normal">PPC</mml:mi><mml:mo>]</mml:mo><mml:mo>/</mml:mo><mml:mo>[</mml:mo><mml:mi mathvariant="normal">Chl</mml:mi><mml:mspace width="0.25em" linebreak="nobreak"/><mml:mi>a</mml:mi><mml:mo>]</mml:mo></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M166" display="inline"><mml:mrow><mml:mo>[</mml:mo><mml:mi mathvariant="normal">Chl</mml:mi><mml:mspace width="0.25em" linebreak="nobreak"/><mml:mi>a</mml:mi><mml:mo>]</mml:mo><mml:mo>/</mml:mo><mml:mo>[</mml:mo><mml:msub><mml:mi>C</mml:mi><mml:mi mathvariant="normal">phyto</mml:mi></mml:msub><mml:mo>]</mml:mo></mml:mrow></mml:math></inline-formula>; see Appendix <xref ref-type="sec" rid="App1.Ch1.S2"/>), therefore the main source of nutrient in Samoa's IME were likely associated with terrigenous processes.</p>
      <p id="d2e3711">We extracted satellite estimates of [Chl <italic>a</italic>], <inline-formula><mml:math id="M167" display="inline"><mml:mrow><mml:mo>[</mml:mo><mml:mi mathvariant="normal">Chl</mml:mi><mml:mspace linebreak="nobreak" width="0.25em"/><mml:mi>a</mml:mi><mml:mo>]</mml:mo><mml:mo>/</mml:mo><mml:mo>[</mml:mo><mml:msub><mml:mi>C</mml:mi><mml:mi mathvariant="normal">phyto</mml:mi></mml:msub><mml:mo>]</mml:mo></mml:mrow></mml:math></inline-formula>, and SST along the ship track (i.e. dashed line Fig. <xref ref-type="fig" rid="F5"/>) to assess if satellite-based estimates can also inform us about processes involved in IME. Although satellite-derived [Chl <italic>a</italic>] and SST closely matched the magnitude of in situ underway measurements, the satellite <inline-formula><mml:math id="M168" display="inline"><mml:mrow><mml:mo>[</mml:mo><mml:mi mathvariant="normal">Chl</mml:mi><mml:mspace linebreak="nobreak" width="0.25em"/><mml:mi>a</mml:mi><mml:mo>]</mml:mo><mml:mo>/</mml:mo><mml:mo>[</mml:mo><mml:msub><mml:mi>C</mml:mi><mml:mi mathvariant="normal">phyto</mml:mi></mml:msub><mml:mo>]</mml:mo></mml:mrow></mml:math></inline-formula> values along the ship track were consistently lower than those estimated from in situ underway data. Satellite [Chl <italic>a</italic>] and SST were nudged to agree with in situ underway estimates across the Pacific Ocean <xref ref-type="bibr" rid="bib1.bibx22" id="paren.84"><named-content content-type="pre">see Sect. <xref ref-type="sec" rid="Ch1.S2.SS5"/> and</named-content></xref>, however, bbp was not adjusted because of the low correlation between in situ and satellite data (see Sect. <xref ref-type="sec" rid="Ch1.S2.SS5"/>). This suggests that the Quasi-Analytical Algorithm <xref ref-type="bibr" rid="bib1.bibx58 bib1.bibx59" id="paren.85"><named-content content-type="pre">QAA;</named-content></xref> we used to invert <inline-formula><mml:math id="M169" display="inline"><mml:mrow><mml:msub><mml:mi>b</mml:mi><mml:mi mathvariant="normal">bp</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> from <inline-formula><mml:math id="M170" display="inline"><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mi mathvariant="normal">rs</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> may not perform well in these ultra-oligotrophic regions since all <inline-formula><mml:math id="M171" display="inline"><mml:mrow><mml:msub><mml:mi>b</mml:mi><mml:mi mathvariant="normal">bp</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> measurements used to develop this inversion algorithm are higher than the in situ <inline-formula><mml:math id="M172" display="inline"><mml:mrow><mml:msub><mml:mi>b</mml:mi><mml:mi mathvariant="normal">bp</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> of the BO zones we measured in these regions (<inline-formula><mml:math id="M173" display="inline"><mml:mrow><mml:msub><mml:mi>b</mml:mi><mml:mi mathvariant="normal">bp</mml:mi></mml:msub><mml:mn mathvariant="normal">443</mml:mn><mml:mo>&lt;</mml:mo><mml:mn mathvariant="normal">0.001</mml:mn></mml:mrow></mml:math></inline-formula> m<sup>−1</sup>). Moreover, <inline-formula><mml:math id="M175" display="inline"><mml:mrow><mml:msub><mml:mi>b</mml:mi><mml:mi mathvariant="normal">bp</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> inverted from satellite data using QAA was shown to be overestimated in these regions when compared to <inline-formula><mml:math id="M176" display="inline"><mml:mrow><mml:msub><mml:mi>b</mml:mi><mml:mi mathvariant="normal">bp</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> estimated from profiling floats <xref ref-type="bibr" rid="bib1.bibx11" id="paren.86"><named-content content-type="pre">when <inline-formula><mml:math id="M177" display="inline"><mml:mrow><mml:msub><mml:mi>b</mml:mi><mml:mi mathvariant="normal">bp</mml:mi></mml:msub><mml:mn mathvariant="normal">700</mml:mn><mml:mo>&lt;</mml:mo><mml:mn mathvariant="normal">0.001</mml:mn></mml:mrow></mml:math></inline-formula> m<sup>−1</sup>;</named-content></xref>. In this case, an overestimation of the satellite <inline-formula><mml:math id="M179" display="inline"><mml:mrow><mml:msub><mml:mi>b</mml:mi><mml:mi mathvariant="normal">bp</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> would lead to an underestimation of <inline-formula><mml:math id="M180" display="inline"><mml:mrow><mml:mo>[</mml:mo><mml:mi mathvariant="normal">Chl</mml:mi><mml:mspace width="0.25em" linebreak="nobreak"/><mml:mi>a</mml:mi><mml:mo>]</mml:mo><mml:mo>/</mml:mo><mml:mo>[</mml:mo><mml:msub><mml:mi>C</mml:mi><mml:mi mathvariant="normal">phyto</mml:mi></mml:msub><mml:mo>]</mml:mo></mml:mrow></mml:math></inline-formula> and would explain the observed discrepancies between in situ and satellite estimates. Despite this difference in magnitude, the spatial variability of <inline-formula><mml:math id="M181" display="inline"><mml:mrow><mml:mo>[</mml:mo><mml:mi mathvariant="normal">Chl</mml:mi><mml:mspace linebreak="nobreak" width="0.25em"/><mml:mi>a</mml:mi><mml:mo>]</mml:mo><mml:mo>/</mml:mo><mml:mo>[</mml:mo><mml:msub><mml:mi>C</mml:mi><mml:mi mathvariant="normal">phyto</mml:mi></mml:msub><mml:mo>]</mml:mo></mml:mrow></mml:math></inline-formula> estimated from satellite data captured the same spatial variability as the situ estimates, although slightly smoother due to the 8 d time binning applied (i.e. dashed line Fig. <xref ref-type="fig" rid="F5"/>). These results show the potential of satellite data to discriminate between biomass enhancement and signatures of coastal upwellings around islands and improve the mechanistic understanding of IME. However, it requires minimizing the satellite temporal binning to capture short-lived events that would otherwise be undetectable.</p>

      <fig id="F5" specific-use="star"><label>Figure 5</label><caption><p id="d2e3990">Underway data measured during the inbound (left panels) and outbound (right panels) transects around Fiji and their satellite counterparts, when available. <bold>(A)</bold> Chlorophyll <italic>a</italic> concentration ([Chl <italic>a</italic>]) and bathymetry, <bold>(B)</bold> sea surface temperature (SST), <bold>(C)</bold> sea surface salinity (SSS), <bold>(D)</bold> Photo-protective carotenoids proportion (<inline-formula><mml:math id="M182" display="inline"><mml:mrow><mml:mo>[</mml:mo><mml:mi mathvariant="normal">PPC</mml:mi><mml:mo>]</mml:mo><mml:mo>/</mml:mo><mml:mo>[</mml:mo><mml:mi mathvariant="normal">Chl</mml:mi><mml:mspace linebreak="nobreak" width="0.25em"/><mml:mi>a</mml:mi><mml:mo>]</mml:mo></mml:mrow></mml:math></inline-formula>; indicative of phytoplankton light acclimation), <bold>(E)</bold> [Chl <italic>a</italic>] to phytoplankton carbon ratio (<inline-formula><mml:math id="M183" display="inline"><mml:mrow><mml:mo>[</mml:mo><mml:mi mathvariant="normal">Chl</mml:mi><mml:mspace width="0.25em" linebreak="nobreak"/><mml:mi>a</mml:mi><mml:mo>]</mml:mo><mml:mo>/</mml:mo><mml:mo>[</mml:mo><mml:msub><mml:mi>C</mml:mi><mml:mi mathvariant="normal">phyto</mml:mi></mml:msub><mml:mo>]</mml:mo></mml:mrow></mml:math></inline-formula>), <bold>(F)</bold> fluorescence quantum yield (<inline-formula><mml:math id="M184" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="normal">Φ</mml:mi><mml:mi mathvariant="normal">Sat</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>; iron stress index) and total iron concentration measured at sampling stations, and <bold>(G)</bold> macronutrient stress index (<inline-formula><mml:math id="M185" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">η</mml:mi><mml:mo>′</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula>) and macronutrient concentrations measured at sampling stations. The blue points show in situ data falling in IME zones detected on the overlapping 8 d satellite composite (BO <inline-formula><mml:math id="M186" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> black circle, IME <inline-formula><mml:math id="M187" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> blue diamond). The points show the minute-binned underway data, and the solid lines represent the underway data smoothed with a 2 h low-pass digital filter. The gray shaded area highlights the coastal upwelling zone, and the beige shaded area highlights the transect over shallow waters (<inline-formula><mml:math id="M188" display="inline"><mml:mrow><mml:mo>&lt;</mml:mo><mml:mn mathvariant="normal">100</mml:mn></mml:mrow></mml:math></inline-formula> m depth). The red vertical lines represent the start and end times of the inbound and outbound transect sections shown in Fig. <xref ref-type="fig" rid="F6"/>.</p></caption>
          <graphic xlink:href="https://bg.copernicus.org/articles/23/2687/2026/bg-23-2687-2026-f05.png"/>

        </fig>

      <fig id="F6"><label>Figure 6</label><caption><p id="d2e4132">8 d median satellite maps zoomed on the inbound (left-hand-side panels) and outbound transects (right-hand-side panels) around Fiji (arrow shows sailing direction). The blue contour delineates the island mass effect zone detected from satellite chlorophyll <italic>a</italic> concentration ([Chl <italic>a</italic>]). In situ underway measurements are overlaid on the satellite map if the same variable was measured from satellite estimates and the underway system. <bold>(A)</bold> [Chl <italic>a</italic>], <bold>(B)</bold> sea surface temperature (SST), <bold>(C)</bold> [Chl <italic>a</italic>] to phytoplankton carbon ratio (<inline-formula><mml:math id="M189" display="inline"><mml:mrow><mml:mo>[</mml:mo><mml:mi mathvariant="normal">Chl</mml:mi><mml:mspace linebreak="nobreak" width="0.25em"/><mml:mi>a</mml:mi><mml:mo>]</mml:mo><mml:mo>/</mml:mo><mml:mo>[</mml:mo><mml:msub><mml:mi>C</mml:mi><mml:mi mathvariant="normal">phyto</mml:mi></mml:msub><mml:mo>]</mml:mo></mml:mrow></mml:math></inline-formula>), <bold>(D)</bold> fluorescence quantum yield (<inline-formula><mml:math id="M190" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">ϕ</mml:mi><mml:mi mathvariant="normal">Sat</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>; iron stress index), and <bold>(E)</bold> macronutrient stress index (<inline-formula><mml:math id="M191" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">η</mml:mi><mml:mo>′</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula>). Entire six-month animated time series accessible in video supplements (Animation S1 in the Supplement).</p></caption>
          <graphic xlink:href="https://bg.copernicus.org/articles/23/2687/2026/bg-23-2687-2026-f06.jpg"/>

        </fig>

</sec>
<sec id="Ch1.S3.SS2">
  <label>3.2</label><title>IMEs and spatial pattern in phytoplankton nutrient physiology</title>
      <p id="d2e4226">The satellite map around Fiji shows that the IME patch is characterized by higher <inline-formula><mml:math id="M192" display="inline"><mml:mrow><mml:mo>[</mml:mo><mml:mi mathvariant="normal">Chl</mml:mi><mml:mspace linebreak="nobreak" width="0.25em"/><mml:mi>a</mml:mi><mml:mo>]</mml:mo><mml:mo>/</mml:mo><mml:mo>[</mml:mo><mml:msub><mml:mi>C</mml:mi><mml:mi mathvariant="normal">phyto</mml:mi></mml:msub><mml:mo>]</mml:mo></mml:mrow></mml:math></inline-formula>, as well as lower <inline-formula><mml:math id="M193" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="normal">Φ</mml:mi><mml:mi mathvariant="normal">Sat</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M194" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">η</mml:mi><mml:mo>′</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula> indices, suggesting enrichment in iron and macronutrients, and enhanced upwelling of subsurface phytoplankton population within the IME relative to BO (Figs. <xref ref-type="fig" rid="F6"/> and <xref ref-type="fig" rid="F5"/>). Total iron concentrations measured at the sampling stations were the highest in Fiji's IME (Fig. <xref ref-type="fig" rid="F5"/>). The iron stress index (<inline-formula><mml:math id="M195" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="normal">Φ</mml:mi><mml:mi mathvariant="normal">Sat</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>) decreased along the inbound transect, with the steeper decrease detected over the island shelf, past the detected upwelling zone. This suggests that iron enrichment was driven by processes associated with the archipelago itself (e.g. leaching from sediments, runoff, or shallow hydrothermal activity) rather than the upwelling event (Fig. <xref ref-type="fig" rid="F5"/>). The macronutrient stress index (<inline-formula><mml:math id="M196" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">η</mml:mi><mml:mo>′</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula>) also decreased along the inbound transect with a minimum coinciding with the upwelling signal and higher values over the shelf area, suggesting that the upwelling west of Fiji was an important source of macronutrients to the euphotic zone further away from shore. <inline-formula><mml:math id="M197" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">η</mml:mi><mml:mo>′</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula> was also consistently lower in the entire IME zone relative to the BO, with lower values detected as far as <inline-formula><mml:math id="M198" display="inline"><mml:mrow><mml:mo>∼</mml:mo><mml:mn mathvariant="normal">150</mml:mn></mml:mrow></mml:math></inline-formula> km offshore on the outbound transect, suggesting a macronutrient enrichment across Fiji-Tonga's IME. Differences in spatial variability between macronutrient or iron concentrations and their respective stress indices can result from two (or more) factors. (1) Macronutrient and iron concentrations reflect standing stocks, whereas the stress indices are more indicative of the macronutrient and iron fluxes experienced by cells. In other words, although high macronutrient and trace metal concentrations likely imply increased supply, low concentrations do not necessarily imply limiting flux. (2) The spatial resolution of sampling differs between measurement types: the macronutrient and iron stress indices (respectively <inline-formula><mml:math id="M199" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">η</mml:mi><mml:mo>′</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M200" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="normal">Φ</mml:mi><mml:mi mathvariant="normal">sat</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>) are retrieved at 1 km<sup>2</sup> resolution, while discrete sampling of macronutrients and iron were collected at a much coarser spatial resolution (on average every 290 km). Despite these differences, the combined use of both concentrations and stress indices is informative because a disparity between them is suggestive of rapid uptake of macronutrients or iron by local phytoplankton populations.</p>
      <p id="d2e4361">The concentrations of nitrogen and phosphate were, in general, higher at coastal stations compared to offshore stations (advected IME and BO; Fig. <xref ref-type="fig" rid="FC1"/>), indicating that terrigenous inputs, through runoff and organic macronutrient production in coral reefs, were a significant source of macronutrients close to shore. These concentrations were rarely higher in the advected IME compared to the BO. For example, despite a strong enrichment in nitrogen and phosphate in the coastal IME of Fiji (Fig. <xref ref-type="fig" rid="FC1"/>), concentrations are already low at the closest station to the island shore downstream of Fiji (Fig. <xref ref-type="fig" rid="F5"/>), suggesting that a large proportion of these macronutrients were rapidly depleted relatively close to shore. The upstream water masses, which were impacted by local coastal upwelling and terrigenous processes, were probably diluted south of Fiji through mixing with the oligotrophic BO and modified by local upwelling and downwelling associated with positive and negative vorticity <xref ref-type="bibr" rid="bib1.bibx33" id="paren.87"/>. Interactions of currents with islands and seamount topography can also result in doming isopycnals and increased vertical mixing downstream of islands <xref ref-type="bibr" rid="bib1.bibx49 bib1.bibx33" id="paren.88"/>. This enhanced vertical mixing could have sustained a small influx of macronutrients to the euphotic zone in the IME, as shown by the consistently lower macronutrient stress (i.e. <inline-formula><mml:math id="M202" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">η</mml:mi><mml:mo>′</mml:mo></mml:msup><mml:mo>≤</mml:mo><mml:mn mathvariant="normal">0.6</mml:mn></mml:mrow></mml:math></inline-formula>) in the IME zone of the outbound transect. Although phosphate concentrations measured at stations located in the IME of Fiji-Tonga were consistently higher than in the BO, nitrogen concentrations were lower at the offshore station closest to Fiji on the outbound transect (Fig. <xref ref-type="fig" rid="F5"/>). Phytoplankton biomass was higher at this station, particles were larger on average (lower <inline-formula><mml:math id="M203" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">γ</mml:mi><mml:mi mathvariant="normal">cp</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>), and pigment ratios were characteristic of a higher proportion of diatoms (higher <inline-formula><mml:math id="M204" display="inline"><mml:mrow><mml:mo>[</mml:mo><mml:mi mathvariant="normal">PSC</mml:mi><mml:mo>]</mml:mo><mml:mo>/</mml:mo><mml:mo>[</mml:mo><mml:mi mathvariant="normal">Chl</mml:mi><mml:mspace linebreak="nobreak" width="0.25em"/><mml:mi>a</mml:mi><mml:mo>]</mml:mo></mml:mrow></mml:math></inline-formula>), suggesting that nitrogen (nitrate <inline-formula><mml:math id="M205" display="inline"><mml:mo>+</mml:mo></mml:math></inline-formula> nitrites) could have been quickly consumed by the phytoplankton community (Figs. <xref ref-type="fig" rid="FB6"/> and <xref ref-type="fig" rid="F7"/>).</p>
      <p id="d2e4440">Relatively high total iron concentrations were detected downstream of Fiji (south), further away from the coast, yet <inline-formula><mml:math id="M206" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="normal">Φ</mml:mi><mml:mi mathvariant="normal">Sat</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> increased rapidly along the outbound transect. Automated microscopy analyses show a high prevalence of <italic>Trichodesmium</italic> spp. in the IME zone along the outbound transect <xref ref-type="bibr" rid="bib1.bibx69 bib1.bibx70" id="paren.89"/>, and this bloom was visible to the naked eye during sampling (Bourdin, personal observation). Iron requirements vary between phytoplankton taxa; for example, <italic>Trichodesmium</italic> spp. is known to have higher iron requirements compared to other taxa <xref ref-type="bibr" rid="bib1.bibx8" id="paren.90"/>. Furthermore, there is a high inter-species variability in the ratio of chlorophyll fluorescence to chlorophyll concentration (i.e. FChl <inline-formula><mml:math id="M207" display="inline"><mml:mo>/</mml:mo></mml:math></inline-formula> [Chl <italic>a</italic>]) <xref ref-type="bibr" rid="bib1.bibx78 bib1.bibx82" id="paren.91"/>, which could impact the estimation of <inline-formula><mml:math id="M208" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="normal">Φ</mml:mi><mml:mi mathvariant="normal">Sat</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> and explain the difference in the relationship between the total iron concentration and <inline-formula><mml:math id="M209" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="normal">Φ</mml:mi><mml:mi mathvariant="normal">Sat</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> at these stations. <italic>Trichodesmium</italic> spp. colonies are composed of “bright cells” that have twice the basal fluorescence of other cells in a non-diazotrophy state and three times as many when in a diazotrophy state <xref ref-type="bibr" rid="bib1.bibx9 bib1.bibx55" id="paren.92"/>. The bloom of <italic>Trichodesmium</italic> spp. observed on the outbound transect at sampling stations where the total iron concentration was an order of magnitude higher than in BO indicates that diazotrophy was likely occurring in this bloom. <italic>Trichodesmium</italic> spp. diazotrophy can be a significant nitrogen source in the western subtropical Pacific Ocean, where the influx of nitrogen into the euphotic zone from depth is limited due to low mesoscale mixing <xref ref-type="bibr" rid="bib1.bibx85" id="paren.93"/>. We did observe an increase in the concentration of dissolved inorganic nitrogen (nitrate <inline-formula><mml:math id="M210" display="inline"><mml:mo>+</mml:mo></mml:math></inline-formula> nitrite) coinciding with the highest <italic>Trichodesmium</italic> spp. biomass in the advected IME zone <xref ref-type="bibr" rid="bib1.bibx69 bib1.bibx70" id="paren.94"><named-content content-type="pre">see microscopy count in</named-content></xref> that could indicate a biogenic input. Together, these observations suggest high diazotrophic activity in the IME zone along the outbound that could explain the observed high <inline-formula><mml:math id="M211" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="normal">Φ</mml:mi><mml:mi mathvariant="normal">Sat</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> values in an iron-enriched zone. In addition, not all iron forms in the measured total iron are bioavailable and, therefore, must be interpreted with caution in the context of the physiological response of phytoplankton to iron availability.</p>
      <p id="d2e4545">For the three other case studies, total iron concentrations generally increased while  <inline-formula><mml:math id="M212" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="normal">Φ</mml:mi><mml:mi mathvariant="normal">Sat</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> decreased. The magnitude of the increase in total iron concentration shows a longitudinal gradient with the lowest increase around Rapa Nui and the highest increase around Fiji (Fig. <xref ref-type="fig" rid="FC1"/>). This observation is consistent with the gradient in iron enrichment associated with IMEs detected across the SPSG. Fiji and Tonga's IMEs were, on average, characterized by the largest difference in <inline-formula><mml:math id="M213" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="normal">Φ</mml:mi><mml:mi mathvariant="normal">Sat</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> between the IME and the BO zone, and the smallest difference was observed for Rapa Nui's IME (Fig. <xref ref-type="fig" rid="F4"/>). The decrease in <inline-formula><mml:math id="M214" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">η</mml:mi><mml:mo>′</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula> was more marginal in the other three case studies, particularly around Rapa Nui and the Society Islands, where it only decreased significantly at the border of the coastal zone. At this distance from shore, the 8 km spatial resolution of the MLD product used for the calculation of <inline-formula><mml:math id="M215" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">η</mml:mi><mml:mo>′</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula> is likely too coarse to capture the complexities of coastal submesoscale dynamics. Similarly, macronutrient concentrations around Fiji were generally higher in coastal zones, but declined sharply with increasing distance from the island (Fig. <xref ref-type="fig" rid="FC1"/>). This pattern suggests that macronutrients supplied by terrigenous and reef-associated processes are rapidly consumed by phytoplankton near the shore. This observation supports the hypothesis of <xref ref-type="bibr" rid="bib1.bibx71" id="text.95"/>, who proposed that nitrogen is quickly utilized in coastal waters by phytoplankton taxa with higher nitrogen uptake capacity, such as diatoms. Consistently, the spatial distribution of pigment markers in this study indicates that the relative concentration of diatoms increased most strongly near the island shelf (see Sect. <xref ref-type="sec" rid="Ch1.S3.SS3"/>; Figs. <xref ref-type="fig" rid="F7"/> and <xref ref-type="fig" rid="FD1"/>).</p>
      <p id="d2e4609">The data collected on board during the inbound transect to Rapa Nui show that the IME detection algorithm from satellite only captured the strongest [Chl <italic>a</italic>] increase near-shore, missing the marginal increase that is highlighted in the gray shaded area (Fig. <xref ref-type="fig" rid="FB2"/>). The strong latitudinal SST front associated with the highest [Chl <italic>a</italic>] located south of Rapa Nui shifted north toward Rapa Nui at this period, masking the increase in [Chl <italic>a</italic>] due to IME, and caused the iterative IME detection algorithm to stop before the contour of [Chl <italic>a</italic>] was low enough to encompass the entire IME zone <xref ref-type="bibr" rid="bib1.bibx18" id="paren.96"><named-content content-type="pre">see video of time series in</named-content></xref>. Interestingly, this slight increase in [Chl <italic>a</italic>] in this zone was not associated with a detectable increase in <inline-formula><mml:math id="M216" display="inline"><mml:mrow><mml:msub><mml:mi>c</mml:mi><mml:mi mathvariant="normal">p</mml:mi></mml:msub><mml:mn mathvariant="normal">660</mml:mn></mml:mrow></mml:math></inline-formula> <xref ref-type="bibr" rid="bib1.bibx22" id="paren.97"><named-content content-type="pre">see Appendix D Fig. D1 in</named-content></xref>. This suggests that despite evidence of iron enrichment (lower <inline-formula><mml:math id="M217" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="normal">Φ</mml:mi><mml:mi mathvariant="normal">Sat</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> and higher total iron concentrations) and reduced macronutrient stress (lower <inline-formula><mml:math id="M218" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">η</mml:mi><mml:mo>′</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula>) compared to the rest of the inbound transect, there was no detectable biomass increase in this zone. As discussed previously, any increase in picophytoplankton biomass is rapidly consumed in this pico-sized dominated environment, often preventing any detectable biomass accumulation using in situ or remotely sensed bio-optical proxies, despite increased nutrient availability.</p>
</sec>
<sec id="Ch1.S3.SS3">
  <label>3.3</label><title>Characteristics of phytoplankton communities from bio-optical signals</title>
      <p id="d2e4683">To investigate the impact of the different enrichment mechanisms on phytoplankton community composition, we focus on the transects of the Fiji-Tonga case study (Fig. <xref ref-type="fig" rid="F7"/>). Suspended particles were larger on average (i.e. lower <inline-formula><mml:math id="M219" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">γ</mml:mi><mml:mrow><mml:msub><mml:mi>c</mml:mi><mml:mi mathvariant="normal">p</mml:mi></mml:msub></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula>) and accessory pigment concentrations normalized by [Chl <italic>a</italic>] were higher in the IME of Fiji-Tonga compared to the BO zones. Both mean particle size and accessory pigment concentrations increased sharply in the inbound transect and gradually decreased in the outbound transect when crossing the IME zones located on the downstream side of the archipelago, suggesting that the strongest change in pigment-based phytoplankton community composition along this transect occurred close to the island shelf. The relative concentrations of accessory pigments did not all increase at the same distance from shore, suggesting a succession of dominant phytoplankton groups along the gradient from the background ocean to the island coast. Using a Lagrangian particle tracking model and MERCATOR Ocean daily surface current products, we estimated that the time of advection for a given water parcel from the coastal area around Fiji to the BO zone exceeds 30 d, a period sufficiently long for an ecological succession in the phytoplankton community to occur downstream of the island. Consistent with this interpretation, <inline-formula><mml:math id="M220" display="inline"><mml:mrow><mml:mo>[</mml:mo><mml:mi mathvariant="normal">PSC</mml:mi><mml:mo>]</mml:mo><mml:mo>/</mml:mo><mml:mo>[</mml:mo><mml:mi mathvariant="normal">Chl</mml:mi><mml:mspace linebreak="nobreak" width="0.25em"/><mml:mi>a</mml:mi><mml:mo>]</mml:mo></mml:mrow></mml:math></inline-formula> was highest near shore and decreased relatively quickly offshore, suggesting a higher proportion of diatoms in coastal waters compared to the rest of the IME and BO zones sampled. The proportion of chlorophyll <italic>b</italic> and chlorophyll <italic>c</italic> relative to [Chl <italic>a</italic>] increased as soon as <italic>Tara</italic> entered Fiji's IME zone in the inbound transect and remained elevated across the IME zone sampled on the outbound transect relative to the BO, suggesting that the contribution of other red algae and green algae remained higher further south of Fiji within the IME zone. Similarly, the proportion of phycoerythrin, indicative of cyanobacteria, also remained higher further south of Fiji, consistent with the <italic>Trichodesmium</italic> spp. bloom observed in the outbound transect using automated microscopy <xref ref-type="bibr" rid="bib1.bibx69 bib1.bibx70" id="paren.98"/>. While pigment ratios provide limited information on phytoplankton community composition and are subject to biases, this analysis points to possible changes in community composition in association with the IME, a hypothesis that will need to be confirmed with more direct methods (e.g., imaging and metabarcoding), but beyond the scope of this study.</p>

      <fig id="F7" specific-use="star"><label>Figure 7</label><caption><p id="d2e4750">Underway bio-optical proxies for changes in community composition measured during the inbound (left panels) and outbound (right panels) transects around Fiji. <bold>(A)</bold> mean particle size index (<inline-formula><mml:math id="M221" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">γ</mml:mi><mml:mrow><mml:msub><mml:mi>c</mml:mi><mml:mi mathvariant="normal">p</mml:mi></mml:msub></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula>), <bold>(B)</bold> Chlorophyll <italic>c</italic> normalized by [Chl <italic>a</italic>] (<inline-formula><mml:math id="M222" display="inline"><mml:mrow><mml:mo>[</mml:mo><mml:mi mathvariant="normal">Chl</mml:mi><mml:mspace linebreak="nobreak" width="0.25em"/><mml:mi>c</mml:mi><mml:mo>]</mml:mo><mml:mo>/</mml:mo><mml:mo>[</mml:mo><mml:mi mathvariant="normal">Chl</mml:mi><mml:mspace linebreak="nobreak" width="0.25em"/><mml:mi>a</mml:mi><mml:mo>]</mml:mo></mml:mrow></mml:math></inline-formula>; indicative of diatoms and other red algae), <bold>(C)</bold> Chlorophyll <italic>b</italic> normalized by [Chl <italic>a</italic>] (<inline-formula><mml:math id="M223" display="inline"><mml:mrow><mml:mo>[</mml:mo><mml:mi mathvariant="normal">Chl</mml:mi><mml:mspace width="0.25em" linebreak="nobreak"/><mml:mi>b</mml:mi><mml:mo>]</mml:mo><mml:mo>/</mml:mo><mml:mo>[</mml:mo><mml:mi mathvariant="normal">Chl</mml:mi><mml:mspace width="0.25em" linebreak="nobreak"/><mml:mi>a</mml:mi><mml:mo>]</mml:mo></mml:mrow></mml:math></inline-formula>; indicative of green algae), <bold>(D)</bold> photosynthetic carotenoids normalized by [Chl <italic>a</italic>] (<inline-formula><mml:math id="M224" display="inline"><mml:mrow><mml:mo>[</mml:mo><mml:mi mathvariant="normal">PSC</mml:mi><mml:mo>]</mml:mo><mml:mo>/</mml:mo><mml:mo>[</mml:mo><mml:mi mathvariant="normal">Chl</mml:mi><mml:mspace linebreak="nobreak" width="0.25em"/><mml:mi>a</mml:mi><mml:mo>]</mml:mo></mml:mrow></mml:math></inline-formula>; indicative of diatoms), and <bold>(E)</bold> Phycoerythrin particulate gaussian absorption at 550 nm normalized by [Chl <italic>a</italic>] particulate gaussian absorption at 676 nm (<inline-formula><mml:math id="M225" display="inline"><mml:mrow><mml:msub><mml:mi>a</mml:mi><mml:mi mathvariant="normal">gauss</mml:mi></mml:msub><mml:mn mathvariant="normal">550</mml:mn><mml:mo>/</mml:mo><mml:msub><mml:mi>a</mml:mi><mml:mi mathvariant="normal">gauss</mml:mi></mml:msub><mml:mn mathvariant="normal">676</mml:mn></mml:mrow></mml:math></inline-formula>; indicative of cyanobacteria). The blue points show in situ data falling in IME zones detected on the overlapping 8 d satellite composite (BO <inline-formula><mml:math id="M226" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> black circle, IME <inline-formula><mml:math id="M227" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> blue diamond). The points show the minute-binned underway data, and the solid lines represent the underway data smoothed with a 2 h low-pass digital filter. The gray shaded area highlights the coastal upwelling zone, and the beige shaded area highlights the transect over shallow waters (<inline-formula><mml:math id="M228" display="inline"><mml:mrow><mml:mo>&lt;</mml:mo><mml:mn mathvariant="normal">100</mml:mn></mml:mrow></mml:math></inline-formula> m depth). The red vertical lines represent the start and end times of the inbound and outbound transect sections shown in Fig. <xref ref-type="fig" rid="F6"/>.</p></caption>
          <graphic xlink:href="https://bg.copernicus.org/articles/23/2687/2026/bg-23-2687-2026-f07.png"/>

        </fig>

</sec>
<sec id="Ch1.S3.SS4">
  <label>3.4</label><title>Temporal dynamics</title>
      <p id="d2e4942">The IME detected around Fiji-Tonga, increased in surface and surface-area integrated [Chl <italic>a</italic>] from the end of February to early May 2017, when it covered more than one million square kilometers. The impacted area then decreased between May and the end of August 2017 (Fig. <xref ref-type="fig" rid="F8"/>B). The difference in <inline-formula><mml:math id="M229" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="normal">Φ</mml:mi><mml:mi mathvariant="normal">Sat</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> between the IME and the BO (<inline-formula><mml:math id="M230" display="inline"><mml:mrow><mml:mi mathvariant="normal">Δ</mml:mi><mml:msub><mml:mi mathvariant="normal">Φ</mml:mi><mml:mi mathvariant="normal">Sat</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>) was consistently negative, indicating a lower phytoplankton physiological stress and a net enrichment in iron in the Fiji-Tonga IME relative to the BO, especially at the beginning of the time-series, during the expanding phase of the IME (i.e. February to May). <inline-formula><mml:math id="M231" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="normal">Φ</mml:mi><mml:mi mathvariant="normal">Sat</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> in the IME decreased overall during the studied period, suggesting an increase in iron enrichment in the IME. The difference in <inline-formula><mml:math id="M232" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">ϕ</mml:mi><mml:mi mathvariant="normal">sat</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> between the IME and BO (i.e. <inline-formula><mml:math id="M233" display="inline"><mml:mrow><mml:mi mathvariant="normal">Δ</mml:mi><mml:msub><mml:mi mathvariant="normal">Φ</mml:mi><mml:mi mathvariant="normal">sat</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>) remained statistically significant (<inline-formula><mml:math id="M234" display="inline"><mml:mrow><mml:mo>|</mml:mo><mml:mi mathvariant="normal">Δ</mml:mi><mml:msub><mml:mi mathvariant="normal">Φ</mml:mi><mml:mi mathvariant="normal">sat</mml:mi></mml:msub><mml:mo>|</mml:mo><mml:mo>&gt;</mml:mo><mml:msubsup><mml:mtext>SEM</mml:mtext><mml:mrow><mml:mi mathvariant="normal">Δ</mml:mi><mml:msub><mml:mi mathvariant="normal">Φ</mml:mi><mml:mi mathvariant="normal">sat</mml:mi></mml:msub></mml:mrow><mml:mi mathvariant="normal">f</mml:mi></mml:msubsup></mml:mrow></mml:math></inline-formula>), indicating persistent iron enrichment within the IME associated with Fiji-Tonga. However, <inline-formula><mml:math id="M235" display="inline"><mml:mrow><mml:mo>|</mml:mo><mml:mi mathvariant="normal">Δ</mml:mi><mml:msub><mml:mi mathvariant="normal">Φ</mml:mi><mml:mi mathvariant="normal">sat</mml:mi></mml:msub><mml:mo>|</mml:mo></mml:mrow></mml:math></inline-formula> decreased over the six-month period, approaching but not reaching zero, implying that <inline-formula><mml:math id="M236" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="normal">Φ</mml:mi><mml:mi mathvariant="normal">Sat</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> values in the IME became more similar to those in the BO. Because <inline-formula><mml:math id="M237" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="normal">Φ</mml:mi><mml:mi mathvariant="normal">Sat</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> within the IME also decreased over this period, this trend suggests that <inline-formula><mml:math id="M238" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="normal">Φ</mml:mi><mml:mi mathvariant="normal">Sat</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> decreased more strongly in the BO than in the IME. This pattern is consistent with an increase in iron availability in the BO, which reduced the contrast in <inline-formula><mml:math id="M239" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="normal">Φ</mml:mi><mml:mi mathvariant="normal">Sat</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> between the IME and BO. These results indicate the presence of seasonal variability in iron stress within the BO and suggest that the processes controlling this variability differ from those governing iron enrichment within the IME. Phytoplankton communities in the IME were not experiencing stress due to macronutrient limitation during the expanding phase of the IME (i.e. February to May with <inline-formula><mml:math id="M240" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">η</mml:mi><mml:mo>′</mml:mo></mml:msup><mml:mo>&lt;</mml:mo><mml:mn mathvariant="normal">0.2</mml:mn></mml:mrow></mml:math></inline-formula>) but started to experience a moderate stress three weeks before the end of the expansion phase of the bloom (i.e. <inline-formula><mml:math id="M241" display="inline"><mml:mrow><mml:mn mathvariant="normal">0.2</mml:mn><mml:mo>&lt;</mml:mo><mml:msup><mml:mi mathvariant="italic">η</mml:mi><mml:mo>′</mml:mo></mml:msup><mml:mo>≤</mml:mo><mml:mn mathvariant="normal">0.6</mml:mn></mml:mrow></mml:math></inline-formula>). <inline-formula><mml:math id="M242" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="normal">Φ</mml:mi><mml:mi mathvariant="normal">Sat</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M243" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">η</mml:mi><mml:mo>′</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula> were significantly lower in Fiji-Tonga's IME relative to the BO, even during bloom demise, suggesting that top-down controls, such as grazing, contributed to the bloom demise before the iron and macronutrients were fully depleted from the euphotic zone in the IME.</p>
      <p id="d2e5160">Samoa's IME was characterized by two important phytoplankton biomass accumulation phases (i.e. blooms) over the period studied, highlighted by two distinct IME-surface-area integrated [Chl <italic>a</italic>] peaks around 9 November and 19 December 2016 (Fig. <xref ref-type="fig" rid="FE3"/>). Interestingly, in Samoa's IME, iron and macronutrient stress did not decrease before and during the initiation of the first of these two blooms and were consistently lower in the IME compared to the BO along the entire time series, which suggests that the occurrence of the first bloom in Samoa's IME was not only triggered by bottom-up processes such as macronutrient and iron enrichment. This first bloom only initiated after being advected offshore and detached from the coastal IME of Samoa, which coincided with the dilution of coastal waters into the BO. This dilution may have decreased the encounter rate between grazers and their prey, reducing the grazing pressure, while the high levels of macronutrients and iron advected within this water mass maintained phytoplankton growth rate, allowing for positive accumulation of phytoplankton biomass <xref ref-type="bibr" rid="bib1.bibx61 bib1.bibx22" id="paren.99"><named-content content-type="pre">such as hypothesized in</named-content></xref>. This hypothesis is also supported by the similarities in physical properties of Samoa's advected IME and the ones of its coastal IME (i.e. warmer and fresher than the BO south of Samoa; Figs. <xref ref-type="fig" rid="FB6"/> and <xref ref-type="fig" rid="FB7"/>), which suggest that the water mass advected offshore had a coastal origin (see Sect. <xref ref-type="sec" rid="Ch1.S3.SS1"/> and Appendix <xref ref-type="sec" rid="App1.Ch1.S2"/>).</p>
      <p id="d2e5182">While these results suggest continuous enrichments in iron and macronutrients in IME zones in the western South Pacific Ocean, the results are more contrasted in the eastern South Pacific Ocean where <inline-formula><mml:math id="M244" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="normal">Φ</mml:mi><mml:mi mathvariant="normal">Sat</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M245" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">η</mml:mi><mml:mo>′</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula> in IME areas are often not significantly lower than in the BO (illustrated by <inline-formula><mml:math id="M246" display="inline"><mml:mrow><mml:mi mathvariant="normal">Δ</mml:mi><mml:msub><mml:mi mathvariant="normal">Φ</mml:mi><mml:mi mathvariant="normal">Sat</mml:mi></mml:msub><mml:mo>+</mml:mo><mml:msubsup><mml:mtext>SEM</mml:mtext><mml:mrow><mml:mi mathvariant="normal">Δ</mml:mi><mml:msub><mml:mi mathvariant="normal">Φ</mml:mi><mml:mi mathvariant="normal">Sat</mml:mi></mml:msub></mml:mrow><mml:mi mathvariant="normal">f</mml:mi></mml:msubsup><mml:mo>&gt;</mml:mo><mml:mn mathvariant="normal">0</mml:mn></mml:mrow></mml:math></inline-formula> or <inline-formula><mml:math id="M247" display="inline"><mml:mrow><mml:mi mathvariant="normal">Δ</mml:mi><mml:msup><mml:mi mathvariant="italic">η</mml:mi><mml:mo>′</mml:mo></mml:msup><mml:mo>+</mml:mo><mml:msubsup><mml:mtext>SEM</mml:mtext><mml:mrow><mml:mi mathvariant="normal">Δ</mml:mi><mml:msup><mml:mi mathvariant="italic">η</mml:mi><mml:mo>′</mml:mo></mml:msup></mml:mrow><mml:mi mathvariant="normal">f</mml:mi></mml:msubsup><mml:mo>&gt;</mml:mo><mml:mn mathvariant="normal">0</mml:mn></mml:mrow></mml:math></inline-formula>; Appendix <xref ref-type="sec" rid="App1.Ch1.S5"/>, Figs. <xref ref-type="fig" rid="FE1"/> and <xref ref-type="fig" rid="FE2"/>).</p>

      <fig id="F8" specific-use="star"><label>Figure 8</label><caption><p id="d2e5281">Six-month-long time series of satellite-derived IME properties of the IME zone detected around Fiji and Tonga archipelagos combined. <bold>(A)</bold>, <bold>(B)</bold>, <bold>(C)</bold>, and <bold>(D)</bold> left panels: Average of properties within the IME zones, <bold>(A)</bold>, <bold>(B)</bold>, <bold>(C)</bold>, and <bold>(D)</bold> right panels: Difference between properties within the IME zones and the background ocean (BO). <bold>(A)</bold> row: chlorophyll <italic>a</italic> concentration ([Chl <italic>a</italic>]), <bold>(B)</bold> row: IME integrated [Chl <italic>a</italic>] (<inline-formula><mml:math id="M248" display="inline"><mml:mrow><mml:mo>∑</mml:mo><mml:mo>[</mml:mo><mml:mi>C</mml:mi><mml:mi>h</mml:mi><mml:mi>l</mml:mi><mml:mspace linebreak="nobreak" width="0.25em"/><mml:mtext mathvariant="italic">a</mml:mtext><mml:msub><mml:mo>]</mml:mo><mml:mi mathvariant="normal">IME</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>), <bold>(C)</bold> row: fluorescence quantum yield (<inline-formula><mml:math id="M249" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">ϕ</mml:mi><mml:mi mathvariant="normal">Sat</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>; iron stress index), <bold>(D)</bold> row: macronutrient stress index (<inline-formula><mml:math id="M250" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">η</mml:mi><mml:mo>′</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula>), <bold>(E)</bold> left: IME zone area (in km<sup>2</sup>), <bold>(E)</bold> right: surface current velocity. The shaded areas represent the standard errors propagated following the method in Appendix <xref ref-type="sec" rid="App1.Ch1.S1.SS4"/>.</p></caption>
          <graphic xlink:href="https://bg.copernicus.org/articles/23/2687/2026/bg-23-2687-2026-f08.png"/>

        </fig>

</sec>
<sec id="Ch1.S3.SS5">
  <label>3.5</label><title>Relating IME properties to characteristics of islands</title>
      <p id="d2e5409">Although the four cases studied were sampled during different seasons, we detected a longitudinal gradient in the strength of the IME and its associated iron enrichment (i.e. from Rapa Nui to Fiji) in the SPSG. However, this longitudinal gradient should be interpreted with caution, as the size of the IME area is correlated with the size of islands (Fig. <xref ref-type="fig" rid="F9"/>A), highlighting that island size can be an important driver of IME magnitude.</p>

      <fig id="F9" specific-use="star"><label>Figure 9</label><caption><p id="d2e5416">Relationship between the summed 30 m isobath areas of all islands and reefs associated with each individual IME and the IME area <bold>(A)</bold>, the difference between average fluorescence quantum yield (<inline-formula><mml:math id="M252" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">ϕ</mml:mi><mml:mi mathvariant="normal">Sat</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>; iron stress index) in IME and BO <bold>(B)</bold>, the difference between average macronutrient stress index (<inline-formula><mml:math id="M253" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">η</mml:mi><mml:mo>′</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula>) in IME and BO <bold>(C)</bold>. The black solid line represents a robust second-order polynomial fit <bold>(A)</bold> and linear fits <bold>(B, C)</bold>. The blue dashed line represents the second-order polynomial fit of the minimum IME area prediction <bold>(A)</bold>. Different colors and marker shapes represent the different island/reef geomorphic types from the <xref ref-type="bibr" rid="bib1.bibx74" id="text.100"/> island database. The shaded polygons represent high uncertainty areas due to pixel size. Subplot <bold>(D)</bold> represents the distributions of 30 m isobath areas of all islands contributing to IMEs in each region.</p></caption>
          <graphic xlink:href="https://bg.copernicus.org/articles/23/2687/2026/bg-23-2687-2026-f09.png"/>

        </fig>

      <p id="d2e5472">The <inline-formula><mml:math id="M254" display="inline"><mml:mi mathvariant="normal">Σ</mml:mi></mml:math></inline-formula>(30 m isobath area) effectively predicts the potential minimum IME area using a second-order polynomial model (dashed blue line in Fig. <xref ref-type="fig" rid="F9"/>A):

            <disp-formula id="Ch1.E7" content-type="numbered"><label>7</label><mml:math id="M255" display="block"><mml:mrow><mml:msub><mml:mi>log⁡</mml:mi><mml:mn mathvariant="normal">10</mml:mn></mml:msub><mml:mo>(</mml:mo><mml:msub><mml:mi mathvariant="normal">IME</mml:mi><mml:mrow><mml:msub><mml:mi mathvariant="normal">area</mml:mi><mml:mrow><mml:mi mathvariant="normal">min</mml:mi><mml:mspace linebreak="nobreak" width="0.25em"/><mml:mi mathvariant="normal">predicted</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:msub><mml:mo>)</mml:mo><mml:mo>=</mml:mo><mml:mn mathvariant="normal">1.114</mml:mn><mml:mo>+</mml:mo><mml:mn mathvariant="normal">0.281</mml:mn><mml:mi>X</mml:mi><mml:mo>+</mml:mo><mml:mn mathvariant="normal">0.105</mml:mn><mml:msup><mml:mi>X</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:mrow></mml:math></disp-formula>

          where <inline-formula><mml:math id="M256" display="inline"><mml:mrow><mml:mi>X</mml:mi><mml:mo>=</mml:mo><mml:msub><mml:mi>log⁡</mml:mi><mml:mn mathvariant="normal">10</mml:mn></mml:msub><mml:mo>(</mml:mo><mml:mi mathvariant="normal">Σ</mml:mi><mml:mo>(</mml:mo><mml:mn mathvariant="normal">30</mml:mn><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mi mathvariant="normal">m</mml:mi><mml:mspace linebreak="nobreak" width="0.33em"/><mml:mi mathvariant="normal">isobath</mml:mi><mml:mspace width="0.33em" linebreak="nobreak"/><mml:mi mathvariant="normal">area</mml:mi><mml:mo>)</mml:mo><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula>. However, it is insufficient to accurately predict the mean strength and spatial extent of the IME, as evidenced by the large variability in IME area observed for a given <inline-formula><mml:math id="M257" display="inline"><mml:mi mathvariant="normal">Σ</mml:mi></mml:math></inline-formula>(30 m isobath area) (Fig. <xref ref-type="fig" rid="F9"/>A).</p>
      <p id="d2e5580">Other factors associated with nutrient supply mechanisms that are independent of island size – such as the stoichiometry of macronutrients and trace metals arising from different sources, phytoplankton community composition, and grazing pressure – also play an important role in determining the magnitude of the IME.</p>
      <p id="d2e5583">The rank in the magnitude of the IME observed in Figs. <xref ref-type="fig" rid="F4"/> and <xref ref-type="fig" rid="FB1"/> (Fiji-Tonga <inline-formula><mml:math id="M258" display="inline"><mml:mo>&gt;</mml:mo></mml:math></inline-formula> Samoa <inline-formula><mml:math id="M259" display="inline"><mml:mo>&gt;</mml:mo></mml:math></inline-formula> Society Islands <inline-formula><mml:math id="M260" display="inline"><mml:mo>&gt;</mml:mo></mml:math></inline-formula> Rapa Nui) does not correspond to the rank of the island/reef area contributing to the IME of each region (Fig. <xref ref-type="fig" rid="F9"/>D). For example, the total 30 m isobath areas of all islands and reefs that contributed to the IMEs in the Society Island region are larger on average than the total 30 m isobath areas of Samoa and Fiji-Tonga (Fig. <xref ref-type="fig" rid="F9"/>D). Island/reef size is represented here as the sum of all 30 m isobaths associated with an IME, which in the case of the Society Islands region, encompasses the Society Islands themselves, but also the Tuamotu archipelago, which is composed of 76 islands and atolls, some of which are among the largest atolls on the planet (e.g. Rangiroa covering 1640 km<sup>2</sup>). Their land area relative to their 30 m isobath area is very small, therefore, the terrigenous inputs of these coral reef atolls are likely smaller in comparison to those of the large high islands of Viti Levu and Vanua Levu of Fiji's archipelago. Moreover, islands of different geomorphic types may have different stoichiometries of macronutrient and iron enrichment. For example, volcanic islands are known to be sources of iron in the water column <xref ref-type="bibr" rid="bib1.bibx13 bib1.bibx47" id="paren.101"/>, thus their IMEs may have, on average, higher <inline-formula><mml:math id="M262" display="inline"><mml:mrow><mml:mi mathvariant="normal">Δ</mml:mi><mml:msub><mml:mi mathvariant="normal">Φ</mml:mi><mml:mrow><mml:msub><mml:mi mathvariant="normal">Sat</mml:mi><mml:mrow><mml:mi mathvariant="normal">IME</mml:mi><mml:mo>-</mml:mo><mml:mi mathvariant="normal">BO</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula> than the IMEs located around coral atolls. Our results, however, do not show clear trends between the geomorphic types of islands and their associated IME area or nutrient stress (Fig. <xref ref-type="fig" rid="F9"/>). The lack of a clear trend may result from the multiple sources of variability inherent to this study (e.g., seasonal variability, regional variability in oceanographic conditions, variability in responses of different phytoplankton assemblages to macronutrient and iron enrichment), which could mask the signal. Although characterized by weak correlations, the iron and nutrient enrichments associated with IMEs increased with larger reef/islands, which is illustrated here by the negative correlation between <inline-formula><mml:math id="M263" display="inline"><mml:mi mathvariant="normal">Σ</mml:mi></mml:math></inline-formula>(30 m isobath area) and <inline-formula><mml:math id="M264" display="inline"><mml:mrow><mml:mi mathvariant="normal">Δ</mml:mi><mml:msub><mml:mi mathvariant="normal">Φ</mml:mi><mml:mrow><mml:msub><mml:mi mathvariant="normal">Sat</mml:mi><mml:mrow><mml:mi mathvariant="normal">IME</mml:mi><mml:mo>-</mml:mo><mml:mi mathvariant="normal">BO</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M265" display="inline"><mml:mrow><mml:mi mathvariant="normal">Δ</mml:mi><mml:msubsup><mml:mi mathvariant="italic">η</mml:mi><mml:mrow><mml:mi mathvariant="normal">IME</mml:mi><mml:mo>-</mml:mo><mml:mi mathvariant="normal">BO</mml:mi></mml:mrow><mml:mo>′</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula>.</p>

<table-wrap id="T3" specific-use="star"><label>Table 3</label><caption><p id="d2e5705">Summary results of IME characteristics of Rapa Nui, Society islands, Samoa, and Fiji-Tonga archipelagos. Refer to Fig. <xref ref-type="fig" rid="FB1"/> for quantitative interpretation. The bold font highlights the significant differences between IME and BO.</p></caption><oasis:table frame="topbot"><oasis:tgroup cols="5">
     <oasis:colspec colnum="1" colname="col1" align="justify" colwidth="3cm"/>
     <oasis:colspec colnum="2" colname="col2" align="justify" colwidth="3cm"/>
     <oasis:colspec colnum="3" colname="col3" align="justify" colwidth="3cm"/>
     <oasis:colspec colnum="4" colname="col4" align="justify" colwidth="3cm"/>
     <oasis:colspec colnum="5" colname="col5" align="justify" colwidth="3cm"/>
     <oasis:thead>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1" align="left">IME case studies</oasis:entry>
         <oasis:entry colname="col2" align="left">Rapa Nui</oasis:entry>
         <oasis:entry colname="col3" align="left">Society Isl.</oasis:entry>
         <oasis:entry colname="col4" align="left">Samoa</oasis:entry>
         <oasis:entry colname="col5" align="left">Fiji &amp; Tonga</oasis:entry>
       </oasis:row>
     </oasis:thead>
     <oasis:tbody>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1" align="left">Biomass increase</oasis:entry>
         <oasis:entry colname="col2" align="left"><bold>yes</bold></oasis:entry>
         <oasis:entry colname="col3" align="left"><bold>yes</bold></oasis:entry>
         <oasis:entry colname="col4" align="left"><bold>yes</bold></oasis:entry>
         <oasis:entry colname="col5" align="left"><bold>yes</bold></oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1" align="left">Upwelling</oasis:entry>
         <oasis:entry colname="col2" align="left">no</oasis:entry>
         <oasis:entry colname="col3" align="left"><bold>yes</bold></oasis:entry>
         <oasis:entry colname="col4" align="left">no</oasis:entry>
         <oasis:entry colname="col5" align="left"><bold>yes</bold></oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1" align="left">Increased vertical mixing</oasis:entry>
         <oasis:entry colname="col2" align="left"><bold>yes</bold></oasis:entry>
         <oasis:entry colname="col3" align="left"><bold>yes</bold></oasis:entry>
         <oasis:entry colname="col4" align="left">no</oasis:entry>
         <oasis:entry colname="col5" align="left"><bold>yes</bold></oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1" align="left">Iron enrichment</oasis:entry>
         <oasis:entry colname="col2" align="left"><bold>yes</bold></oasis:entry>
         <oasis:entry colname="col3" align="left"><bold>yes</bold></oasis:entry>
         <oasis:entry colname="col4" align="left"><bold>yes</bold></oasis:entry>
         <oasis:entry colname="col5" align="left"><bold>yes</bold></oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1" align="left">Iron stress decrease</oasis:entry>
         <oasis:entry colname="col2" align="left"><bold>yes</bold></oasis:entry>
         <oasis:entry colname="col3" align="left"><bold>yes</bold></oasis:entry>
         <oasis:entry colname="col4" align="left"><bold>yes</bold></oasis:entry>
         <oasis:entry colname="col5" align="left"><bold>yes</bold></oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1" align="left">Major source of iron</oasis:entry>
         <oasis:entry colname="col2" align="left">Terrigeneous processes</oasis:entry>
         <oasis:entry colname="col3" align="left">Terrigeneous processes</oasis:entry>
         <oasis:entry colname="col4" align="left">Terrigeneous processes</oasis:entry>
         <oasis:entry colname="col5" align="left">Terrigeneous processes</oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1" align="left">Macronutrient enrichment</oasis:entry>
         <oasis:entry colname="col2" align="left">not detectable</oasis:entry>
         <oasis:entry colname="col3" align="left"><bold>yes</bold></oasis:entry>
         <oasis:entry colname="col4" align="left"><bold>yes</bold></oasis:entry>
         <oasis:entry colname="col5" align="left"><bold>yes</bold></oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1" align="left">Macronutrient stress decrease</oasis:entry>
         <oasis:entry colname="col2" align="left"><bold>yes</bold></oasis:entry>
         <oasis:entry colname="col3" align="left"><bold>yes</bold></oasis:entry>
         <oasis:entry colname="col4" align="left"><bold>yes</bold></oasis:entry>
         <oasis:entry colname="col5" align="left"><bold>yes</bold></oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1" align="left">Major source of macronutrients</oasis:entry>
         <oasis:entry colname="col2" align="left">Terrigeneous processes and vertical mixing</oasis:entry>
         <oasis:entry colname="col3" align="left">Terrigeneous processes</oasis:entry>
         <oasis:entry colname="col4" align="left">Terrigeneous processes (run off)</oasis:entry>
         <oasis:entry colname="col5" align="left">Terrigeneous processes and upwelling</oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1" align="left">Particle size in coastal IME relative to BO</oasis:entry>
         <oasis:entry colname="col2" align="left"><bold>smaller</bold></oasis:entry>
         <oasis:entry colname="col3" align="left">NA</oasis:entry>
         <oasis:entry colname="col4" align="left"><bold>larger</bold></oasis:entry>
         <oasis:entry colname="col5" align="left"><bold>larger</bold></oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1" align="left">Particle size in advected IME relative to BO</oasis:entry>
         <oasis:entry colname="col2" align="left">no difference</oasis:entry>
         <oasis:entry colname="col3" align="left"><bold>smaller</bold></oasis:entry>
         <oasis:entry colname="col4" align="left">no difference</oasis:entry>
         <oasis:entry colname="col5" align="left"><bold>larger</bold></oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1" align="left">Change in pigment composition in coastal IME relative to BO</oasis:entry>
         <oasis:entry colname="col2" align="left">NA</oasis:entry>
         <oasis:entry colname="col3" align="left">NA</oasis:entry>
         <oasis:entry colname="col4" align="left"><bold>yes</bold></oasis:entry>
         <oasis:entry colname="col5" align="left"><bold>yes</bold></oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1" align="left">Change in pigment composition in advected IME relative to BO</oasis:entry>
         <oasis:entry colname="col2" align="left">NA</oasis:entry>
         <oasis:entry colname="col3" align="left"><bold>yes</bold></oasis:entry>
         <oasis:entry colname="col4" align="left"><bold>yes</bold></oasis:entry>
         <oasis:entry colname="col5" align="left"><bold>yes</bold></oasis:entry>
       </oasis:row>
     </oasis:tbody>
   </oasis:tgroup></oasis:table><table-wrap-foot><p id="d2e5710">NA: not available.</p></table-wrap-foot></table-wrap>


</sec>
</sec>
<sec id="Ch1.S4" sec-type="conclusions">
  <label>4</label><title>Conclusions</title>
      <p id="d2e6034">In this study, we used a combination of satellite-derived physiological stress markers and in situ optical data from an underway system to elucidate the links between IME, phytoplankton physiology, and pigment ratios as proxies for community composition on the scale of the subtropical basin of the South Pacific. To our knowledge, such an endeavor has never been done.</p>
      <p id="d2e6037">Each of the four case studies exhibited unique spatial and temporal dynamics of IME (see result summary Table <xref ref-type="table" rid="T3"/>), yet in all cases we observed indications of a relaxation of iron stress in the IME relative to the regional surrounding ocean. Our results support the idea that islands or reefs also contribute to macronutrient enrichment from terrigenous origins, but unlike total iron concentrations, which generally remain higher over entire IME zones, macronutrients are typically rapidly depleted by the time a given coastal water mass is advected into the open ocean. This rapid depletion is associated with pigments ratio signatures indicating higher proportions of diatoms near shore, which outcompete other phytoplankton for nitrate uptake <xref ref-type="bibr" rid="bib1.bibx63 bib1.bibx88" id="paren.102"/>. This interpretation, however, remains hypothetical and requires further verification using quantitative imaging or genomic tools to study plankton community composition. The offshore IME water masses were associated with macronutrient enrichment originating from upwelling and vertical mixing processes in the western basin of the SPSG. Although detected in the eastern SPSG, these upwelling and vertical mixing signatures (i.e. low-light-adapted phytoplankton cells around islands) were not necessarily associated with significant macronutrient enrichment in the eastern SPSG, possibly due to the nutricline being deeper than in the western basin. The island and reef isobath area is a strong predictor of the minimum IME area and a weaker predictor of the associated macronutrient and iron enrichment. However, the high spatial and temporal variability of IME extent across the SPSG suggests that its magnitude is strongly influenced by complex interactions among initial phytoplankton stocks, bottom-up processes (i.e. stoichiometry of macronutrient and trace metal supply), and top-down controls (i.e. grazing pressure).</p>
      <p id="d2e6045">Building on these findings and previous IME-focused studies of natural iron enrichment <xref ref-type="bibr" rid="bib1.bibx28 bib1.bibx12" id="paren.103"><named-content content-type="pre">e.g. Galápagos PlumeEx and Kerguelen KEOPS;</named-content></xref>, we propose that IMEs constitute naturally persistent nutrient enrichment settings that can be further exploited to investigate the combined effects of iron and macronutrient supply on natural plankton assemblages, net primary production, and carbon export at basin scales. However, the uniqueness of each combination of factors that influence IMEs requires case-by-case studies, including temporal dynamics, to reveal specific underlying processes. In this context, the use of satellite data to detect upwellings, macronutrients, and iron enrichment to survey entire ocean basins is promising, especially with the recent deployment of the hyperspectral mission Plankton, Aerosol, Cloud, and Ocean Ecosystem (PACE) that can provide crucial information on phytoplankton community composition necessary to complement the interpretation of physiological signals. There is also a need to further validate these satellite-based estimates of iron and macronutrient stress, such as molecular markers from metatranscriptomic analyses, to enhance our confidence in the macronutrient and iron enrichment patterns deduced from remote sensing products and identify taxa-specific physiological responses.</p>
</sec>

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

<app id="App1.Ch1.S1">
  <label>Appendix A</label><title>Satellite variable computation</title>

      <fig id="FA1"><label>Figure A1</label><caption><p id="d2e6067">Satellite composite production flowchart.</p></caption>
        <graphic xlink:href="https://bg.copernicus.org/articles/23/2687/2026/bg-23-2687-2026-f10.png"/>

      </fig>

<sec id="App1.Ch1.S1.SS1">
  <label>A1</label><title>Satellite intermediate products computation</title>
      <p id="d2e6083">We derived the normalize leaving water radiance spectra (<inline-formula><mml:math id="M266" display="inline"><mml:mrow><mml:mi mathvariant="normal">n</mml:mi><mml:msub><mml:mi>L</mml:mi><mml:mi mathvariant="normal">w</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>) from POLYMER normalized water reflectance spectra (<inline-formula><mml:math id="M267" display="inline"><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mi mathvariant="normal">w</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>):

            <disp-formula id="App1.Ch1.S1.E8" content-type="numbered"><label>A1</label><mml:math id="M268" display="block"><mml:mrow><mml:mi mathvariant="normal">n</mml:mi><mml:msub><mml:mi>L</mml:mi><mml:mi mathvariant="normal">w</mml:mi></mml:msub><mml:mo>(</mml:mo><mml:mi mathvariant="italic">λ</mml:mi><mml:mo>)</mml:mo><mml:mo>=</mml:mo><mml:msub><mml:mi>R</mml:mi><mml:mi mathvariant="normal">w</mml:mi></mml:msub><mml:mo>(</mml:mo><mml:mi mathvariant="italic">λ</mml:mi><mml:mo>)</mml:mo><mml:mo>×</mml:mo><mml:mstyle displaystyle="true"><mml:mfrac style="display"><mml:mrow><mml:msub><mml:mi>F</mml:mi><mml:mn mathvariant="normal">0</mml:mn></mml:msub></mml:mrow><mml:mi mathvariant="italic">π</mml:mi></mml:mfrac></mml:mstyle></mml:mrow></mml:math></disp-formula>

          where <inline-formula><mml:math id="M269" display="inline"><mml:mrow><mml:msub><mml:mi>F</mml:mi><mml:mn mathvariant="normal">0</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> is the extraterrestrial solar flux at the time of observation:

            <disp-formula id="App1.Ch1.S1.E9" content-type="numbered"><label>A2</label><mml:math id="M270" display="block"><mml:mrow><mml:msub><mml:mi>F</mml:mi><mml:mn mathvariant="normal">0</mml:mn></mml:msub><mml:mo>=</mml:mo><mml:msub><mml:mi>F</mml:mi><mml:mrow><mml:msub><mml:mn mathvariant="normal">0</mml:mn><mml:mi mathvariant="normal">mean</mml:mi></mml:msub></mml:mrow></mml:msub><mml:mo>(</mml:mo><mml:mi mathvariant="italic">λ</mml:mi><mml:mo>)</mml:mo><mml:mo>×</mml:mo><mml:msup><mml:mfenced close=")" open="("><mml:mstyle displaystyle="true"><mml:mfrac style="display"><mml:mi>d</mml:mi><mml:mrow><mml:msub><mml:mi>d</mml:mi><mml:mi mathvariant="normal">mean</mml:mi></mml:msub></mml:mrow></mml:mfrac></mml:mstyle></mml:mfenced><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:mrow></mml:math></disp-formula>

          where <inline-formula><mml:math id="M271" display="inline"><mml:mrow><mml:msub><mml:mi>F</mml:mi><mml:mrow><mml:msub><mml:mn mathvariant="normal">0</mml:mn><mml:mi mathvariant="normal">mean</mml:mi></mml:msub></mml:mrow></mml:msub><mml:mo>(</mml:mo><mml:mi mathvariant="italic">λ</mml:mi><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula> is the solar spectral irradiance in  <inline-formula><mml:math id="M272" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">W</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">m</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:msup><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mi mathvariant="normal">µ</mml:mi><mml:msup><mml:mi mathvariant="normal">m</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> based on <xref ref-type="bibr" rid="bib1.bibx92" id="text.104"/> and spectrally weighted to each sensor's band spectral response, and where <inline-formula><mml:math id="M273" display="inline"><mml:mrow><mml:msup><mml:mfenced close=")" open="("><mml:mstyle displaystyle="false"><mml:mfrac style="text"><mml:mi>d</mml:mi><mml:mrow><mml:msub><mml:mi>d</mml:mi><mml:mi mathvariant="normal">mean</mml:mi></mml:msub></mml:mrow></mml:mfrac></mml:mstyle></mml:mfenced><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula> is the normalized Sun-Earth distance at the time of observation <xref ref-type="bibr" rid="bib1.bibx95" id="paren.105"/>.</p>
      <p id="d2e6286">The normalized fluorescence line height (nFLH) was calculated from <inline-formula><mml:math id="M274" display="inline"><mml:mrow><mml:mi mathvariant="normal">n</mml:mi><mml:msub><mml:mi>L</mml:mi><mml:mi mathvariant="normal">w</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> as in <xref ref-type="bibr" rid="bib1.bibx6" id="text.106"/>:

            <disp-formula id="App1.Ch1.S1.E10" content-type="numbered"><label>A3</label><mml:math id="M275" display="block"><mml:mtable class="split" rowspacing="0.2ex" displaystyle="true" columnalign="right left"><mml:mtr><mml:mtd><mml:mrow><mml:mtext>nFLH</mml:mtext></mml:mrow></mml:mtd><mml:mtd><mml:mrow><mml:mo>=</mml:mo><mml:mi mathvariant="normal">n</mml:mi><mml:msub><mml:mi>L</mml:mi><mml:mi mathvariant="normal">w</mml:mi></mml:msub><mml:mo>(</mml:mo><mml:mn mathvariant="normal">678</mml:mn><mml:mo>)</mml:mo><mml:mi mathvariant="normal">−</mml:mi><mml:mfenced open="(" close=")"><mml:mstyle displaystyle="true"><mml:mfrac style="display"><mml:mn mathvariant="normal">70</mml:mn><mml:mn mathvariant="normal">81</mml:mn></mml:mfrac></mml:mstyle></mml:mfenced><mml:mo>×</mml:mo><mml:mi mathvariant="normal">n</mml:mi><mml:msub><mml:mi>L</mml:mi><mml:mi mathvariant="normal">w</mml:mi></mml:msub><mml:mo>(</mml:mo><mml:mn mathvariant="normal">667</mml:mn><mml:mo>)</mml:mo></mml:mrow></mml:mtd></mml:mtr><mml:mtr><mml:mtd/><mml:mtd><mml:mrow><mml:mi mathvariant="normal">−</mml:mi><mml:mfenced open="(" close=")"><mml:mstyle displaystyle="true"><mml:mfrac style="display"><mml:mn mathvariant="normal">11</mml:mn><mml:mn mathvariant="normal">81</mml:mn></mml:mfrac></mml:mstyle></mml:mfenced><mml:mo>×</mml:mo><mml:mi mathvariant="normal">n</mml:mi><mml:msub><mml:mi>L</mml:mi><mml:mi mathvariant="normal">w</mml:mi></mml:msub><mml:mo>(</mml:mo><mml:mn mathvariant="normal">748</mml:mn><mml:mo>)</mml:mo></mml:mrow></mml:mtd></mml:mtr></mml:mtable></mml:math></disp-formula>

          We estimated SST from MODIS-Aqua and Terra, and VIIRS-SNPP L1A scenes using SeaDAS l2gen and only keeping high-quality pixels (i.e. 0 and 1 SST quality scores).</p>

      <fig id="FA2" specific-use="star"><label>Figure A2</label><caption><p id="d2e6388">Robust linear regressions between phytoplankton pigments measured from HPLC and optical proxies for phytoplankton pigments estimated from <inline-formula><mml:math id="M276" display="inline"><mml:mrow><mml:msub><mml:mi>a</mml:mi><mml:mi mathvariant="normal">p</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> spectra <xref ref-type="bibr" rid="bib1.bibx27" id="paren.107"/> from the underway system (in log <inline-formula><mml:math id="M277" display="inline"><mml:mo>/</mml:mo></mml:math></inline-formula> log scale) during the <italic>Tara</italic> Pacific expedition (May 2016 to October 2018).</p></caption>
          <graphic xlink:href="https://bg.copernicus.org/articles/23/2687/2026/bg-23-2687-2026-f11.png"/>

        </fig>

</sec>
<sec id="App1.Ch1.S1.SS2">
  <label>A2</label><title>in situ to satellite Match-ups</title>
      <p id="d2e6429">Match-ups between the calibrated in situ data collected from the underway system and level-2 satellite data of each satellite processed were performed following recommendations from <xref ref-type="bibr" rid="bib1.bibx1" id="text.108"/>. Underway data falling within <inline-formula><mml:math id="M278" display="inline"><mml:mrow><mml:mo>±</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:math></inline-formula> h of each satellite overpass were extracted and averaged. We extracted and averaged underway measurements within a <inline-formula><mml:math id="M279" display="inline"><mml:mrow><mml:mo>±</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:math></inline-formula> h period of each satellite overpass (i.e. Aqua and SNPP 13:30, Terra 10:30, Sentinel 3a and 3b 10:00, JPSS1 14:20 local time at the equator) and satellite data from the 25 closest pixels to underway data locations. We computed the median coefficient of variation (CV) of <inline-formula><mml:math id="M280" display="inline"><mml:mrow><mml:mi mathvariant="normal">n</mml:mi><mml:msub><mml:mi>L</mml:mi><mml:mi mathvariant="normal">w</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> for bands between 412 and 555 nm and for the aerosol optical thickness at 865 nm. We tested several homogeneity thresholds and minimum unmasked number of pixels for each parameter matched to maximize the number of valid match-ups without introducing noise to the in situ-satellite correlations. We kept only [Chl <italic>a</italic>] match-ups with a minimum of 7 unmasked pixels and CV lower than 0.15 <xref ref-type="bibr" rid="bib1.bibx22" id="paren.109"><named-content content-type="pre">Fig. <xref ref-type="fig" rid="FA3"/>c and see Appendix B in</named-content></xref>. We kept iPAR match-ups with a minimum of 5 unmasked pixels and CV lower than 0.7  (Fig. <xref ref-type="fig" rid="FA3"/>b). The SST quality score being already very restrictive, we kept match-ups with at least one unmasked pixel (i.e. SST-quality 0 and 1; Fig. <xref ref-type="fig" rid="FA3"/>a). The statistics of these match-up relations were subsequently used to select the atmospheric correction and [Chl <italic>a</italic>] algorithm performing best in our case <xref ref-type="bibr" rid="bib1.bibx23" id="paren.110"/> and the normalized root mean square errors (nRMSE) were used as uncertainty estimates and were propagated to subsequent products <xref ref-type="bibr" rid="bib1.bibx22" id="paren.111"><named-content content-type="pre">see comparison in Appendix B in</named-content><named-content content-type="post">and uncertainty propagation in Appendix <xref ref-type="sec" rid="App1.Ch1.S1.SS4"/> of this study</named-content></xref>.</p>

      <fig id="FA3" specific-use="star"><label>Figure A3</label><caption><p id="d2e6500">Robust linear regressions between in situ and satellite SST <bold>(a)</bold>, iPAR <bold>(b)</bold>, and [Chl <italic>a</italic>] <bold>(c)</bold> computed with the blended OCx-CI algorithm and POLYMER <inline-formula><mml:math id="M281" display="inline"><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mi mathvariant="normal">rs</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>. The in situ data were measured during the <italic>Tara</italic> Pacific expedition (May 2016 to October 2018).</p></caption>
          <graphic xlink:href="https://bg.copernicus.org/articles/23/2687/2026/bg-23-2687-2026-f12.png"/>

        </fig>

<table-wrap id="TA1" specific-use="star"><label>Table A1</label><caption><p id="d2e6539">Robust correlations parameters of match-ups between satellite and in situ underway data</p></caption><oasis:table frame="topbot"><oasis:tgroup cols="7">
     <oasis:colspec colnum="1" colname="col1" align="left"/>
     <oasis:colspec colnum="2" colname="col2" align="left"/>
     <oasis:colspec colnum="3" colname="col3" align="right"/>
     <oasis:colspec colnum="4" colname="col4" align="right"/>
     <oasis:colspec colnum="5" colname="col5" align="right"/>
     <oasis:colspec colnum="6" colname="col6" align="right"/>
     <oasis:colspec colnum="7" colname="col7" align="right"/>
     <oasis:thead>
       <oasis:row rowsep="1">

         <oasis:entry colname="col1">Variables</oasis:entry>

         <oasis:entry colname="col2">Satellite sensor</oasis:entry>

         <oasis:entry colname="col3"><inline-formula><mml:math id="M282" display="inline"><mml:mrow><mml:msup><mml:mi>R</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula></oasis:entry>

         <oasis:entry colname="col4">nRMSE [%]</oasis:entry>

         <oasis:entry colname="col5">Slope</oasis:entry>

         <oasis:entry colname="col6">Intercept</oasis:entry>

         <oasis:entry colname="col7"><inline-formula><mml:math id="M283" display="inline"><mml:mi>N</mml:mi></mml:math></inline-formula></oasis:entry>

       </oasis:row>
     </oasis:thead>
     <oasis:tbody>
       <oasis:row>

         <oasis:entry rowsep="1" colname="col1" morerows="4">[Chl <italic>a</italic>]</oasis:entry>

         <oasis:entry colname="col2">MODISA</oasis:entry>

         <oasis:entry colname="col3">0.78</oasis:entry>

         <oasis:entry colname="col4">24.38</oasis:entry>

         <oasis:entry colname="col5">1.09</oasis:entry>

         <oasis:entry colname="col6"><inline-formula><mml:math id="M284" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">0.01</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>

         <oasis:entry colname="col7">111</oasis:entry>

       </oasis:row>
       <oasis:row>

         <oasis:entry colname="col2">MODIST</oasis:entry>

         <oasis:entry colname="col3">0.81</oasis:entry>

         <oasis:entry colname="col4">20.48</oasis:entry>

         <oasis:entry colname="col5">1.08</oasis:entry>

         <oasis:entry colname="col6"><inline-formula><mml:math id="M285" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">0.01</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>

         <oasis:entry colname="col7">96</oasis:entry>

       </oasis:row>
       <oasis:row>

         <oasis:entry colname="col2">VIIRSN</oasis:entry>

         <oasis:entry colname="col3">0.82</oasis:entry>

         <oasis:entry colname="col4">16.18</oasis:entry>

         <oasis:entry colname="col5">0.90</oasis:entry>

         <oasis:entry colname="col6"><inline-formula><mml:math id="M286" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">0.19</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>

         <oasis:entry colname="col7">109</oasis:entry>

       </oasis:row>
       <oasis:row>

         <oasis:entry colname="col2">VIIRSJ1</oasis:entry>

         <oasis:entry colname="col3">0.70</oasis:entry>

         <oasis:entry colname="col4">31.47</oasis:entry>

         <oasis:entry colname="col5">1.02</oasis:entry>

         <oasis:entry colname="col6">0.05</oasis:entry>

         <oasis:entry colname="col7">27</oasis:entry>

       </oasis:row>
       <oasis:row rowsep="1">

         <oasis:entry colname="col2">OLCI</oasis:entry>

         <oasis:entry colname="col3">0.79</oasis:entry>

         <oasis:entry colname="col4">16.56</oasis:entry>

         <oasis:entry colname="col5">0.89</oasis:entry>

         <oasis:entry colname="col6"><inline-formula><mml:math id="M287" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">0.13</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>

         <oasis:entry colname="col7">85</oasis:entry>

       </oasis:row>
       <oasis:row>

         <oasis:entry rowsep="1" colname="col1" morerows="2">SST</oasis:entry>

         <oasis:entry colname="col2">MODISA</oasis:entry>

         <oasis:entry colname="col3">0.98</oasis:entry>

         <oasis:entry colname="col4">2.04</oasis:entry>

         <oasis:entry colname="col5">0.987</oasis:entry>

         <oasis:entry colname="col6">0.11</oasis:entry>

         <oasis:entry colname="col7">270</oasis:entry>

       </oasis:row>
       <oasis:row>

         <oasis:entry colname="col2">MODIST</oasis:entry>

         <oasis:entry colname="col3">0.98</oasis:entry>

         <oasis:entry colname="col4">2.18</oasis:entry>

         <oasis:entry colname="col5">0.988</oasis:entry>

         <oasis:entry colname="col6">0.03</oasis:entry>

         <oasis:entry colname="col7">275</oasis:entry>

       </oasis:row>
       <oasis:row rowsep="1">

         <oasis:entry colname="col2">VIIRSN</oasis:entry>

         <oasis:entry colname="col3">0.98</oasis:entry>

         <oasis:entry colname="col4">1.87</oasis:entry>

         <oasis:entry colname="col5">0.99</oasis:entry>

         <oasis:entry colname="col6">0.07</oasis:entry>

         <oasis:entry colname="col7">247</oasis:entry>

       </oasis:row>
       <oasis:row>

         <oasis:entry colname="col1" morerows="4">iPAR</oasis:entry>

         <oasis:entry colname="col2">MODISA</oasis:entry>

         <oasis:entry colname="col3">0.51</oasis:entry>

         <oasis:entry colname="col4">4.62</oasis:entry>

         <oasis:entry colname="col5">1.02</oasis:entry>

         <oasis:entry colname="col6"><inline-formula><mml:math id="M288" display="inline"><mml:mrow><mml:mn mathvariant="normal">2.5</mml:mn><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="normal">10</mml:mn><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">4</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula></oasis:entry>

         <oasis:entry colname="col7">123</oasis:entry>

       </oasis:row>
       <oasis:row>

         <oasis:entry colname="col2">MODIST</oasis:entry>

         <oasis:entry colname="col3">0.68</oasis:entry>

         <oasis:entry colname="col4">5.22</oasis:entry>

         <oasis:entry colname="col5">0.94</oasis:entry>

         <oasis:entry colname="col6"><inline-formula><mml:math id="M289" display="inline"><mml:mrow><mml:mn mathvariant="normal">3.6</mml:mn><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="normal">10</mml:mn><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">4</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula></oasis:entry>

         <oasis:entry colname="col7">117</oasis:entry>

       </oasis:row>
       <oasis:row>

         <oasis:entry colname="col2">VIIRSN</oasis:entry>

         <oasis:entry colname="col3">0.81</oasis:entry>

         <oasis:entry colname="col4">5.03</oasis:entry>

         <oasis:entry colname="col5">1.11</oasis:entry>

         <oasis:entry colname="col6"><inline-formula><mml:math id="M290" display="inline"><mml:mrow><mml:mn mathvariant="normal">9.9</mml:mn><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="normal">10</mml:mn><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">5</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula></oasis:entry>

         <oasis:entry colname="col7">104</oasis:entry>

       </oasis:row>
       <oasis:row>

         <oasis:entry colname="col2">VIIRSJ1</oasis:entry>

         <oasis:entry colname="col3">0.67</oasis:entry>

         <oasis:entry colname="col4">3.05</oasis:entry>

         <oasis:entry colname="col5">0.66</oasis:entry>

         <oasis:entry colname="col6"><inline-formula><mml:math id="M291" display="inline"><mml:mrow><mml:mn mathvariant="normal">8.6</mml:mn><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="normal">10</mml:mn><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">4</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula></oasis:entry>

         <oasis:entry colname="col7">33</oasis:entry>

       </oasis:row>
       <oasis:row>

         <oasis:entry colname="col2">OLCI</oasis:entry>

         <oasis:entry colname="col3">0.76</oasis:entry>

         <oasis:entry colname="col4">6.35</oasis:entry>

         <oasis:entry colname="col5">0.88</oasis:entry>

         <oasis:entry colname="col6"><inline-formula><mml:math id="M292" display="inline"><mml:mrow><mml:mn mathvariant="normal">4.5</mml:mn><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="normal">10</mml:mn><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">4</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula></oasis:entry>

         <oasis:entry colname="col7">78</oasis:entry>

       </oasis:row>
     </oasis:tbody>
   </oasis:tgroup></oasis:table></table-wrap>

</sec>
<sec id="App1.Ch1.S1.SS3">
  <label>A3</label><title>MODIS <inline-formula><mml:math id="M293" display="inline"><mml:mrow><mml:msub><mml:mi>b</mml:mi><mml:mi mathvariant="normal">bp</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> artifacts</title>
      <p id="d2e7040"><inline-formula><mml:math id="M294" display="inline"><mml:mrow><mml:msub><mml:mi>b</mml:mi><mml:mi mathvariant="normal">bp</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> estimated from MODIS POLYMER <inline-formula><mml:math id="M295" display="inline"><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mi mathvariant="normal">rs</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> (Fig. <xref ref-type="fig" rid="FA4"/>.2a and b) showed inverse spatial patterns compared to [Chl <italic>a</italic>] computed from all sensors (Fig. <xref ref-type="fig" rid="FA4"/>.3) and also <inline-formula><mml:math id="M296" display="inline"><mml:mrow><mml:msub><mml:mi>b</mml:mi><mml:mi mathvariant="normal">bp</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> estimated from OLCI and VIIRSN <inline-formula><mml:math id="M297" display="inline"><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mi mathvariant="normal">rs</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> (Fig. <xref ref-type="fig" rid="FA4"/>.2c and d) in ultra-oligotrophic regions (<inline-formula><mml:math id="M298" display="inline"><mml:mrow><mml:mo>[</mml:mo><mml:mi mathvariant="normal">Chl</mml:mi><mml:mspace linebreak="nobreak" width="0.25em"/><mml:mi>a</mml:mi><mml:mo>]</mml:mo><mml:mo>&lt;</mml:mo><mml:mn mathvariant="normal">0.04</mml:mn></mml:mrow></mml:math></inline-formula> mg m<sup>−3</sup>). These inverse spatial patterns were not observed with <inline-formula><mml:math id="M300" display="inline"><mml:mrow><mml:msub><mml:mi>b</mml:mi><mml:mi mathvariant="normal">bp</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> computed from SeaDAS <inline-formula><mml:math id="M301" display="inline"><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mi mathvariant="normal">rs</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> (Fig. <xref ref-type="fig" rid="FA4"/>.1a, b, c, and d). The atmospheric correction of SeaDAS (i.e. l2gen) does not correct for the adjacency effect, while POLYMER does (i.e. the last term of the polynomial fit used to model the atmospheric reflectance accounts for the adjacency effect). The <inline-formula><mml:math id="M302" display="inline"><mml:mrow><mml:msub><mml:mi>b</mml:mi><mml:mi mathvariant="normal">bp</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> values in ultra-oligotrophic regions were largely within the range of noise added by the adjacency effect around clouds. Subsequently, the 8 d median <inline-formula><mml:math id="M303" display="inline"><mml:mrow><mml:msub><mml:mi>b</mml:mi><mml:mi mathvariant="normal">bp</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> products computed from SeaDAS <inline-formula><mml:math id="M304" display="inline"><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mi mathvariant="normal">rs</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> for each satellite were so noisy that most of the signal due to the <inline-formula><mml:math id="M305" display="inline"><mml:mrow><mml:msub><mml:mi>b</mml:mi><mml:mi mathvariant="normal">bp</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> artifact in ultra-oligotrophic regions was masked by the adjacency effect. Therefore, only <inline-formula><mml:math id="M306" display="inline"><mml:mrow><mml:msub><mml:mi>b</mml:mi><mml:mi mathvariant="normal">bp</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> from VIIRSN and OLCI were binned into the 8 d median and used in further analysis.</p>

      <fig id="FA4" specific-use="star"><label>Figure A4</label><caption><p id="d2e7209">Comparison of 8 d medians (11 to 18 October 2016) of <inline-formula><mml:math id="M307" display="inline"><mml:mrow><mml:msub><mml:mi>b</mml:mi><mml:mi mathvariant="normal">bp</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> around Rapa Nui for <bold>(a)</bold> MODISA, <bold>(b)</bold> MODIST, <bold>(c)</bold> OLCI, and <bold>(d)</bold> VIIRSN, using the atmospheric corrections (1) SeaDAS <inline-formula><mml:math id="M308" display="inline"><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mi mathvariant="normal">rs</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> (top row), (2) POLYMER <inline-formula><mml:math id="M309" display="inline"><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mi mathvariant="normal">rs</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> (middle row), and (3) the corresponding 8 d median of [Chl <italic>a</italic>] computed using POLYMER <inline-formula><mml:math id="M310" display="inline"><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mi mathvariant="normal">rs</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> of all satellites.</p></caption>
          <graphic xlink:href="https://bg.copernicus.org/articles/23/2687/2026/bg-23-2687-2026-f13.jpg"/>

        </fig>

</sec>
<sec id="App1.Ch1.S1.SS4">
  <label>A4</label><title>Uncertainty estimates</title>
      <p id="d2e7286">The 8 d merged satellite product composites were derived as described for [Chl] in <xref ref-type="bibr" rid="bib1.bibx22" id="text.112"/>, using multiple overpasses and sensors. For the 2500 km<sup>2</sup> region around the Fiji archipelago, composites typically include <inline-formula><mml:math id="M312" display="inline"><mml:mrow><mml:mo>∼</mml:mo><mml:mn mathvariant="normal">120</mml:mn></mml:mrow></mml:math></inline-formula> daytime ocean color scenes and <inline-formula><mml:math id="M313" display="inline"><mml:mrow><mml:mo>∼</mml:mo><mml:mn mathvariant="normal">240</mml:mn></mml:mrow></mml:math></inline-formula> SST scenes (daytime and nighttime). Each pixel of the merged products is a median of the <inline-formula><mml:math id="M314" display="inline"><mml:mi>n</mml:mi></mml:math></inline-formula> number of observations of the original images, with standard deviations (<inline-formula><mml:math id="M315" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">σ</mml:mi><mml:mi mathvariant="normal">bin</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>) representing the temporal variability for a given pixel during each 8 d period and the variability between sensors (after nudging, when applied). We computed <inline-formula><mml:math id="M316" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="normal">Φ</mml:mi><mml:mi mathvariant="normal">Sat</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> only from the MODIS and OLCI sensors due to a missing band in VIIRS for the computation of nFLH. Binned <inline-formula><mml:math id="M317" display="inline"><mml:mrow><mml:msub><mml:mi>b</mml:mi><mml:mi mathvariant="normal">bp</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> were only obtained from OLCI and VIIRS sensors due to an artifact in the MODIS estimates of this variable (Appendix <xref ref-type="sec" rid="App1.Ch1.S1.SS3"/>). Therefore, the number of observations in the binned <inline-formula><mml:math id="M318" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="normal">Φ</mml:mi><mml:mi mathvariant="normal">Sat</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M319" display="inline"><mml:mrow><mml:msub><mml:mi>b</mml:mi><mml:mi mathvariant="normal">bp</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> was reduced, resulting in noisier maps.</p>
      <p id="d2e7386">We propagated known uncertainties from in situ data to satellite merged end-products following the same strategy as in <xref ref-type="bibr" rid="bib1.bibx22" id="text.113"/>. We estimated the error associated with the computation of bio-optical proxies from in situ continuous underway data, using the normalized root mean square error (<inline-formula><mml:math id="M320" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="normal">nRMSE</mml:mi><mml:mi mathvariant="normal">udw</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> in %) of the correlation between the underway estimates and their corresponding calibrated measurement when available (e.g. total [Chl <italic>a</italic>] from HPLC correlated with [Chl <italic>a</italic>] line-height in <xref ref-type="bibr" rid="bib1.bibx22" id="text.114"/>). Similarly, we estimated the error associated with bio-optical proxies computation from satellite data using the <inline-formula><mml:math id="M321" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="normal">nRMSE</mml:mi><mml:mi mathvariant="normal">sat</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> of the relation between each satellite estimate and its calibrated underway counterpart when available (e.g. [Chl <italic>a</italic>] see Appendix B in <xref ref-type="bibr" rid="bib1.bibx22" id="altparen.115"/>, and SST and iPAR in Fig. <xref ref-type="fig" rid="FA3"/> and Table <xref ref-type="table" rid="TA1"/>). Since no measurements of <inline-formula><mml:math id="M322" display="inline"><mml:mrow><mml:msub><mml:mi>C</mml:mi><mml:mi mathvariant="normal">phyto</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> were performed in situ, we propagated to the binned <inline-formula><mml:math id="M323" display="inline"><mml:mrow><mml:msub><mml:mi>C</mml:mi><mml:mi mathvariant="normal">phyto</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> the uncertainty estimates of the published empirical relationships we used between <inline-formula><mml:math id="M324" display="inline"><mml:mrow><mml:msub><mml:mi>b</mml:mi><mml:mi mathvariant="normal">bp</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M325" display="inline"><mml:mrow><mml:msub><mml:mi>C</mml:mi><mml:mi mathvariant="normal">phyto</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> <xref ref-type="bibr" rid="bib1.bibx45" id="paren.116"><named-content content-type="pre">32 %;</named-content></xref>). Unfortunately, the relation between in situ <inline-formula><mml:math id="M326" display="inline"><mml:mrow><mml:msub><mml:mi>b</mml:mi><mml:mi mathvariant="normal">bp</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> and satellite <inline-formula><mml:math id="M327" display="inline"><mml:mrow><mml:msub><mml:mi>b</mml:mi><mml:mi mathvariant="normal">bp</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> was very sensitive to match-up criteria and the linear regressions were not well constrained, potentially due to low quality of in situ data (due to bio-fouling or bubbles in the underway line) or due to large uncertainty in satellite retrieval <xref ref-type="bibr" rid="bib1.bibx11" id="paren.117"/>. Therefore, <inline-formula><mml:math id="M328" display="inline"><mml:mrow><mml:msub><mml:mi>b</mml:mi><mml:mi mathvariant="normal">bp</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>, like all the other variables for which no calibrated in situ data were available, was nudged to best match a reference satellite sensor (see Sect. <xref ref-type="sec" rid="Ch1.S2.SS5"/>). In these cases, the error associated with the nudging process (i.e. <inline-formula><mml:math id="M329" display="inline"><mml:mrow><mml:msub><mml:mtext>nRMSE</mml:mtext><mml:mi mathvariant="normal">sat</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> of the regressions) was propagated to the binned products' uncertainty estimates. In all of these cases, the uncertainties of the binned satellite end-products were computed as follows:

            <disp-formula id="App1.Ch1.S1.E11" content-type="numbered"><label>A4</label><mml:math id="M330" display="block"><mml:mrow><mml:msub><mml:mi mathvariant="italic">σ</mml:mi><mml:mi>V</mml:mi></mml:msub><mml:mo>=</mml:mo><mml:msqrt><mml:mrow><mml:msubsup><mml:mi mathvariant="italic">σ</mml:mi><mml:mrow><mml:mi>V</mml:mi><mml:mi mathvariant="normal">bin</mml:mi></mml:mrow><mml:mn mathvariant="normal">2</mml:mn></mml:msubsup><mml:mo>+</mml:mo><mml:munderover><mml:mo movablelimits="false">∑</mml:mo><mml:mrow><mml:mi>n</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow><mml:mrow><mml:msub><mml:mi>n</mml:mi><mml:mi mathvariant="normal">c</mml:mi></mml:msub></mml:mrow></mml:munderover><mml:mo>(</mml:mo><mml:mover accent="true"><mml:mi>V</mml:mi><mml:mo stretchy="false" mathvariant="normal">̃</mml:mo></mml:mover><mml:mo>⋅</mml:mo><mml:msub><mml:mtext>nRMSE</mml:mtext><mml:mi mathvariant="normal">c</mml:mi></mml:msub><mml:msup><mml:mo>)</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:mrow></mml:msqrt></mml:mrow></mml:math></disp-formula>

          with <inline-formula><mml:math id="M331" display="inline"><mml:mover accent="true"><mml:mi>V</mml:mi><mml:mo stretchy="false" mathvariant="normal">̃</mml:mo></mml:mover></mml:math></inline-formula> the binned variable, <inline-formula><mml:math id="M332" display="inline"><mml:mrow><mml:msub><mml:mi>n</mml:mi><mml:mi mathvariant="normal">c</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> the number of calibration/correction, and <inline-formula><mml:math id="M333" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="normal">nRMSE</mml:mi><mml:mi mathvariant="normal">c</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> the nRMSE associated with each of the <inline-formula><mml:math id="M334" display="inline"><mml:mrow><mml:msub><mml:mi>n</mml:mi><mml:mi mathvariant="normal">c</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> corrections. The uncertainty associated with the correction of each variable was saved in the data files <xref ref-type="bibr" rid="bib1.bibx18" id="paren.118"/>. When no good relationship with in situ data or reference satellite data was found, “NaN” values are saved in the nRMSE columns of the data files. In these cases, the final <inline-formula><mml:math id="M335" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">σ</mml:mi><mml:mi>V</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> of a given 8 d median pixel only represents the natural variability over the 8 d period and the variability between sensors. The standard error of the mean of the adjusted satellite end-products of each pixel was computed as follows:

            <disp-formula id="App1.Ch1.S1.E12" content-type="numbered"><label>A5</label><mml:math id="M336" display="block"><mml:mrow><mml:msub><mml:mi mathvariant="normal">SEM</mml:mi><mml:mi>V</mml:mi></mml:msub><mml:mo>=</mml:mo><mml:mstyle displaystyle="true"><mml:mfrac style="display"><mml:mrow><mml:msub><mml:mi mathvariant="italic">σ</mml:mi><mml:mi>V</mml:mi></mml:msub></mml:mrow><mml:msqrt><mml:mrow><mml:msub><mml:mi>n</mml:mi><mml:mrow><mml:msub><mml:mi>V</mml:mi><mml:mi mathvariant="normal">bin</mml:mi></mml:msub></mml:mrow></mml:msub></mml:mrow></mml:msqrt></mml:mfrac></mml:mstyle></mml:mrow></mml:math></disp-formula>

          The final uncertainty estimate associated with the adjusted satellite binned variable (<inline-formula><mml:math id="M337" display="inline"><mml:mi>V</mml:mi></mml:math></inline-formula>) within the entire IME or BO zones (<inline-formula><mml:math id="M338" display="inline"><mml:mrow><mml:msub><mml:msup><mml:mi mathvariant="normal">SEM</mml:mi><mml:mi mathvariant="normal">f</mml:mi></mml:msup><mml:mrow><mml:mo>[</mml:mo><mml:mi>V</mml:mi><mml:msub><mml:mo>]</mml:mo><mml:mi mathvariant="normal">IME</mml:mi></mml:msub></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula>) as presented in Figs. <xref ref-type="fig" rid="FE1"/>, <xref ref-type="fig" rid="FE2"/>, <xref ref-type="fig" rid="FE3"/>, and <xref ref-type="fig" rid="F8"/> were expressed as the mean standard error of the mean of <inline-formula><mml:math id="M339" display="inline"><mml:mi>V</mml:mi></mml:math></inline-formula> within entire IME or BO zones:

            <disp-formula id="App1.Ch1.S1.E13" content-type="numbered"><label>A6</label><mml:math id="M340" display="block"><mml:mrow><mml:msub><mml:msup><mml:mi mathvariant="normal">SEM</mml:mi><mml:mi mathvariant="normal">f</mml:mi></mml:msup><mml:mrow><mml:msub><mml:mi>V</mml:mi><mml:mi mathvariant="normal">IME</mml:mi></mml:msub></mml:mrow></mml:msub><mml:mo>=</mml:mo><mml:mstyle displaystyle="true"><mml:mfrac style="display"><mml:mrow><mml:msub><mml:mover accent="true"><mml:mi mathvariant="italic">σ</mml:mi><mml:mo mathvariant="normal">‾</mml:mo></mml:mover><mml:mrow><mml:msub><mml:mi>V</mml:mi><mml:mi mathvariant="normal">IME</mml:mi></mml:msub></mml:mrow></mml:msub></mml:mrow><mml:mrow><mml:mo>∑</mml:mo><mml:msub><mml:mi>n</mml:mi><mml:mrow><mml:msub><mml:mi>V</mml:mi><mml:mrow><mml:msub><mml:mi mathvariant="normal">bin</mml:mi><mml:mi mathvariant="normal">IME</mml:mi></mml:msub></mml:mrow></mml:msub></mml:mrow></mml:msub></mml:mrow></mml:mfrac></mml:mstyle><mml:mo>+</mml:mo><mml:msub><mml:mi>S</mml:mi><mml:mrow><mml:msub><mml:mi>V</mml:mi><mml:mi mathvariant="normal">unc</mml:mi></mml:msub></mml:mrow></mml:msub><mml:mo>×</mml:mo><mml:msub><mml:mover accent="true"><mml:mi>V</mml:mi><mml:mo mathvariant="normal">‾</mml:mo></mml:mover><mml:mi mathvariant="normal">IME</mml:mi></mml:msub></mml:mrow></mml:math></disp-formula>

          with <inline-formula><mml:math id="M341" display="inline"><mml:mrow><mml:mo>∑</mml:mo><mml:msub><mml:mi>n</mml:mi><mml:mrow><mml:msub><mml:mi>V</mml:mi><mml:mrow><mml:msub><mml:mi mathvariant="normal">bin</mml:mi><mml:mi mathvariant="normal">IME</mml:mi></mml:msub></mml:mrow></mml:msub></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula> the total number of <inline-formula><mml:math id="M342" display="inline"><mml:mi>V</mml:mi></mml:math></inline-formula> observations within the IME zone before merging, and <inline-formula><mml:math id="M343" display="inline"><mml:mrow><mml:msub><mml:mi>S</mml:mi><mml:mrow><mml:msub><mml:mi>V</mml:mi><mml:mi mathvariant="normal">unc</mml:mi></mml:msub></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula> the weighted bias associated with the calculation of the slopes of the regressions between the calibrated in situ variable and each satellite estimate <inline-formula><mml:math id="M344" display="inline"><mml:mi>V</mml:mi></mml:math></inline-formula>. <inline-formula><mml:math id="M345" display="inline"><mml:mrow><mml:msub><mml:mi>S</mml:mi><mml:mrow><mml:msub><mml:mi>V</mml:mi><mml:mi mathvariant="normal">unc</mml:mi></mml:msub></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula> was computed as follows:

            <disp-formula id="App1.Ch1.S1.E14" content-type="numbered"><label>A7</label><mml:math id="M346" display="block"><mml:mrow><mml:msub><mml:mi>S</mml:mi><mml:mrow><mml:msub><mml:mi>V</mml:mi><mml:mi mathvariant="normal">unc</mml:mi></mml:msub></mml:mrow></mml:msub><mml:mo>=</mml:mo><mml:mo>|</mml:mo><mml:mn mathvariant="normal">1</mml:mn><mml:mo>-</mml:mo><mml:msub><mml:mi>S</mml:mi><mml:mrow><mml:msub><mml:mi>V</mml:mi><mml:mi mathvariant="normal">sat</mml:mi></mml:msub></mml:mrow></mml:msub><mml:mo>|</mml:mo><mml:mo>×</mml:mo><mml:mstyle displaystyle="true"><mml:mfrac style="display"><mml:mrow><mml:msub><mml:mi>n</mml:mi><mml:mrow><mml:msub><mml:mi>M</mml:mi><mml:mi mathvariant="normal">sat</mml:mi></mml:msub></mml:mrow></mml:msub></mml:mrow><mml:mrow><mml:msub><mml:mi>N</mml:mi><mml:mrow><mml:msub><mml:mi>M</mml:mi><mml:mi mathvariant="normal">tot</mml:mi></mml:msub></mml:mrow></mml:msub></mml:mrow></mml:mfrac></mml:mstyle></mml:mrow></mml:math></disp-formula>

          with <inline-formula><mml:math id="M347" display="inline"><mml:mrow><mml:msub><mml:mi>S</mml:mi><mml:mrow><mml:msub><mml:mi>V</mml:mi><mml:mi mathvariant="normal">sat</mml:mi></mml:msub></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula> the slope of the relation between <inline-formula><mml:math id="M348" display="inline"><mml:mi>V</mml:mi></mml:math></inline-formula> of a given satellite and its in situ equivalent, <inline-formula><mml:math id="M349" display="inline"><mml:mrow><mml:msub><mml:mi>n</mml:mi><mml:mrow><mml:msub><mml:mi>M</mml:mi><mml:mi mathvariant="normal">sat</mml:mi></mml:msub></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula> the number of valid match-ups of the same satellite, and <inline-formula><mml:math id="M350" display="inline"><mml:mrow><mml:msub><mml:mi>N</mml:mi><mml:mrow><mml:msub><mml:mi>M</mml:mi><mml:mi mathvariant="normal">tot</mml:mi></mml:msub></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula> the total number of valid match-ups. <inline-formula><mml:math id="M351" display="inline"><mml:mrow><mml:msub><mml:mi>S</mml:mi><mml:mrow><mml:msub><mml:mi>V</mml:mi><mml:mi mathvariant="normal">unc</mml:mi></mml:msub></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula> represents the maximum bias associated with the calculation of the merged satellite variable <inline-formula><mml:math id="M352" display="inline"><mml:mi>V</mml:mi></mml:math></inline-formula>, which we assume to be equivalent to the potential likelihood bias of the merged satellite variable <inline-formula><mml:math id="M353" display="inline"><mml:mi>V</mml:mi></mml:math></inline-formula>. Assuming sufficient valid matches with each satellite, <inline-formula><mml:math id="M354" display="inline"><mml:mrow><mml:msub><mml:mi>S</mml:mi><mml:mrow><mml:msub><mml:mi>V</mml:mi><mml:mi mathvariant="normal">unc</mml:mi></mml:msub></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula> is a conservative estimate of the bias associated with the slope computation because the merging method forces each satellite <inline-formula><mml:math id="M355" display="inline"><mml:mi>V</mml:mi></mml:math></inline-formula> to agree with in situ data using sensor-specific corrections, which likely reduces the bias of the merged product. This method was applied to compute the uncertainty of all satellite merged variables except <inline-formula><mml:math id="M356" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">η</mml:mi><mml:mo>′</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula>, the IME surface area, and the surface-area integrated [Chl <italic>a</italic>] (<inline-formula><mml:math id="M357" display="inline"><mml:mrow><mml:mo>∑</mml:mo><mml:mo>[</mml:mo><mml:mi mathvariant="normal">Chl</mml:mi><mml:mspace width="0.25em" linebreak="nobreak"/><mml:mi>a</mml:mi><mml:msub><mml:mo>]</mml:mo><mml:mi mathvariant="normal">IME</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>). IME area uncertainties (<inline-formula><mml:math id="M358" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">σ</mml:mi><mml:mrow><mml:msub><mml:mi>A</mml:mi><mml:mi mathvariant="normal">IME</mml:mi></mml:msub></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula>) were computed during the detection of the IME [Chl <italic>a</italic>] contours as the difference in the IME area between the last two iterations of the [Chl <italic>a</italic>] contours:

            <disp-formula id="App1.Ch1.S1.E15" content-type="numbered"><label>A8</label><mml:math id="M359" display="block"><mml:mrow><mml:msub><mml:mi mathvariant="italic">σ</mml:mi><mml:mrow><mml:msub><mml:mi>A</mml:mi><mml:mi mathvariant="normal">IME</mml:mi></mml:msub></mml:mrow></mml:msub><mml:mo>=</mml:mo><mml:msub><mml:mi>A</mml:mi><mml:mrow><mml:msub><mml:mi mathvariant="normal">IME</mml:mi><mml:mrow><mml:msub><mml:mi mathvariant="normal">cChl</mml:mi><mml:mi>f</mml:mi></mml:msub></mml:mrow></mml:msub></mml:mrow></mml:msub><mml:mo>-</mml:mo><mml:msub><mml:mi>A</mml:mi><mml:mrow><mml:msub><mml:mi mathvariant="normal">IME</mml:mi><mml:mrow><mml:msub><mml:mi mathvariant="normal">cChl</mml:mi><mml:mrow><mml:mi>f</mml:mi><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msub></mml:mrow></mml:msub></mml:mrow></mml:msub></mml:mrow></mml:math></disp-formula>

          with <inline-formula><mml:math id="M360" display="inline"><mml:mrow><mml:msub><mml:mi>A</mml:mi><mml:mrow><mml:msub><mml:mi mathvariant="normal">IME</mml:mi><mml:mrow><mml:msub><mml:mi mathvariant="normal">cChl</mml:mi><mml:mi>f</mml:mi></mml:msub></mml:mrow></mml:msub></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula> the IME area at the final IME contour value and <inline-formula><mml:math id="M361" display="inline"><mml:mrow><mml:msub><mml:mi>A</mml:mi><mml:mrow><mml:msub><mml:mi mathvariant="normal">IME</mml:mi><mml:mrow><mml:msub><mml:mi mathvariant="normal">cChl</mml:mi><mml:mrow><mml:mi>f</mml:mi><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msub></mml:mrow></mml:msub></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula> the IME area at the previous contour value. Therefore, <inline-formula><mml:math id="M362" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">σ</mml:mi><mml:mrow><mml:msub><mml:mi>A</mml:mi><mml:mi mathvariant="normal">IME</mml:mi></mml:msub></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula> represents the area detection resolution associated with the size of the step of [Chl <italic>a</italic>] iteration. The uncertainties associated with the estimation of IME surface-area integrated [Chl <italic>a</italic>] (<inline-formula><mml:math id="M363" display="inline"><mml:mrow><mml:mo>∑</mml:mo><mml:mo>[</mml:mo><mml:mi mathvariant="normal">Chl</mml:mi><mml:mspace width="0.25em" linebreak="nobreak"/><mml:mi>a</mml:mi><mml:msub><mml:mo>]</mml:mo><mml:mi mathvariant="normal">IME</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>) were computed as follows:

            <disp-formula id="App1.Ch1.S1.E16" content-type="numbered"><label>A9</label><mml:math id="M364" display="block"><mml:mrow><mml:mtable class="split" rowspacing="0.2ex" displaystyle="true" columnalign="right left"><mml:mtr><mml:mtd><mml:mrow><mml:msub><mml:msup><mml:mi mathvariant="normal">SEM</mml:mi><mml:mi mathvariant="normal">f</mml:mi></mml:msup><mml:mrow><mml:mo movablelimits="false">∑</mml:mo><mml:mo>[</mml:mo><mml:mi mathvariant="normal">Chl</mml:mi><mml:mspace width="0.25em" linebreak="nobreak"/><mml:mi>a</mml:mi><mml:msub><mml:mo>]</mml:mo><mml:mi mathvariant="normal">IME</mml:mi></mml:msub></mml:mrow></mml:msub></mml:mrow></mml:mtd><mml:mtd><mml:mrow><mml:mo>=</mml:mo><mml:mo movablelimits="false">∑</mml:mo><mml:mo>[</mml:mo><mml:mi mathvariant="normal">Chl</mml:mi><mml:mspace linebreak="nobreak" width="0.25em"/><mml:mi>a</mml:mi><mml:msub><mml:mo>]</mml:mo><mml:mi mathvariant="normal">IME</mml:mi></mml:msub></mml:mrow></mml:mtd></mml:mtr><mml:mtr><mml:mtd/><mml:mtd><mml:mrow><mml:mo>×</mml:mo><mml:msqrt><mml:mrow><mml:msup><mml:mfenced close=")" open="("><mml:mstyle displaystyle="true"><mml:mfrac style="display"><mml:mrow><mml:msub><mml:msup><mml:mi mathvariant="normal">SEM</mml:mi><mml:mi mathvariant="normal">f</mml:mi></mml:msup><mml:mrow><mml:mo>[</mml:mo><mml:mi mathvariant="normal">Chl</mml:mi><mml:mspace linebreak="nobreak" width="0.25em"/><mml:mi>a</mml:mi><mml:msub><mml:mo>]</mml:mo><mml:mi mathvariant="normal">IME</mml:mi></mml:msub></mml:mrow></mml:msub></mml:mrow><mml:mrow><mml:msub><mml:mover accent="true"><mml:mrow><mml:mo>[</mml:mo><mml:mi mathvariant="normal">Chl</mml:mi><mml:mspace linebreak="nobreak" width="0.25em"/><mml:mi>a</mml:mi><mml:mo>]</mml:mo></mml:mrow><mml:mo mathvariant="normal">‾</mml:mo></mml:mover><mml:mi mathvariant="normal">IME</mml:mi></mml:msub></mml:mrow></mml:mfrac></mml:mstyle></mml:mfenced><mml:mn mathvariant="normal">2</mml:mn></mml:msup><mml:mo>+</mml:mo><mml:msup><mml:mfenced close=")" open="("><mml:mstyle displaystyle="true"><mml:mfrac style="display"><mml:mrow><mml:msub><mml:mi mathvariant="italic">σ</mml:mi><mml:mrow><mml:msub><mml:mi>A</mml:mi><mml:mi mathvariant="normal">IME</mml:mi></mml:msub></mml:mrow></mml:msub></mml:mrow><mml:mrow><mml:msub><mml:mi>A</mml:mi><mml:mi mathvariant="normal">IME</mml:mi></mml:msub></mml:mrow></mml:mfrac></mml:mstyle></mml:mfenced><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:mrow></mml:msqrt></mml:mrow></mml:mtd></mml:mtr></mml:mtable></mml:mrow></mml:math></disp-formula>

          We estimated uncertainties in <inline-formula><mml:math id="M365" display="inline"><mml:mrow><mml:msubsup><mml:mi mathvariant="italic">η</mml:mi><mml:mi mathvariant="normal">obs</mml:mi><mml:mo>′</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula> (i.e. <inline-formula><mml:math id="M366" display="inline"><mml:mrow><mml:mo>[</mml:mo><mml:mi mathvariant="normal">Chl</mml:mi><mml:mspace linebreak="nobreak" width="0.25em"/><mml:mi>a</mml:mi><mml:mo>]</mml:mo><mml:mo>/</mml:mo><mml:mo>[</mml:mo><mml:msub><mml:mi>C</mml:mi><mml:mi mathvariant="normal">phyto</mml:mi></mml:msub><mml:mo>]</mml:mo></mml:mrow></mml:math></inline-formula>) as:

            <disp-formula id="App1.Ch1.S1.E17" content-type="numbered"><label>A10</label><mml:math id="M367" display="block"><mml:mrow><mml:msub><mml:mi mathvariant="normal">SEM</mml:mi><mml:mrow><mml:msubsup><mml:mi mathvariant="italic">η</mml:mi><mml:mi mathvariant="normal">obs</mml:mi><mml:mo>′</mml:mo></mml:msubsup></mml:mrow></mml:msub><mml:mo>=</mml:mo><mml:msubsup><mml:mi mathvariant="italic">η</mml:mi><mml:mi mathvariant="normal">obs</mml:mi><mml:mo>′</mml:mo></mml:msubsup><mml:mo>×</mml:mo><mml:msqrt><mml:mrow><mml:msup><mml:mfenced close=")" open="("><mml:mstyle displaystyle="true"><mml:mfrac style="display"><mml:mrow><mml:msub><mml:mi mathvariant="normal">SEM</mml:mi><mml:mrow><mml:mo>[</mml:mo><mml:mi mathvariant="normal">Chl</mml:mi><mml:mspace linebreak="nobreak" width="0.25em"/><mml:mi>a</mml:mi><mml:mo>]</mml:mo></mml:mrow></mml:msub></mml:mrow><mml:mrow><mml:mo>[</mml:mo><mml:mi mathvariant="normal">Chl</mml:mi><mml:mspace linebreak="nobreak" width="0.25em"/><mml:mi>a</mml:mi><mml:mo>]</mml:mo></mml:mrow></mml:mfrac></mml:mstyle></mml:mfenced><mml:mn mathvariant="normal">2</mml:mn></mml:msup><mml:mo>+</mml:mo><mml:msup><mml:mfenced open="(" close=")"><mml:mstyle displaystyle="true"><mml:mfrac style="display"><mml:mrow><mml:msub><mml:mi mathvariant="normal">SEM</mml:mi><mml:mrow><mml:mo>[</mml:mo><mml:msub><mml:mi>C</mml:mi><mml:mi mathvariant="normal">phyto</mml:mi></mml:msub><mml:mo>]</mml:mo></mml:mrow></mml:msub></mml:mrow><mml:mrow><mml:mo>[</mml:mo><mml:msub><mml:mi>C</mml:mi><mml:mi mathvariant="normal">phyto</mml:mi></mml:msub><mml:mo>]</mml:mo></mml:mrow></mml:mfrac></mml:mstyle></mml:mfenced><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:mrow></mml:msqrt></mml:mrow></mml:math></disp-formula>

          Similarly:

            <disp-formula id="App1.Ch1.S1.E18" content-type="numbered"><label>A11</label><mml:math id="M368" display="block"><mml:mrow><mml:msub><mml:mi mathvariant="normal">SEM</mml:mi><mml:mrow><mml:msub><mml:mi>I</mml:mi><mml:mi mathvariant="normal">ML</mml:mi></mml:msub></mml:mrow></mml:msub><mml:mo>=</mml:mo><mml:msub><mml:mi>I</mml:mi><mml:mi mathvariant="normal">ML</mml:mi></mml:msub><mml:mo>×</mml:mo><mml:msqrt><mml:mrow><mml:msup><mml:mfenced close=")" open="("><mml:mstyle displaystyle="true"><mml:mfrac style="display"><mml:mrow><mml:msub><mml:mi mathvariant="normal">SEM</mml:mi><mml:mi mathvariant="normal">PAR</mml:mi></mml:msub></mml:mrow><mml:mi mathvariant="normal">PAR</mml:mi></mml:mfrac></mml:mstyle></mml:mfenced><mml:mn mathvariant="normal">2</mml:mn></mml:msup><mml:mo>+</mml:mo><mml:msup><mml:mfenced open="(" close=")"><mml:mstyle displaystyle="true"><mml:mfrac style="display"><mml:mrow><mml:msub><mml:mi mathvariant="normal">SEM</mml:mi><mml:mi mathvariant="normal">MLD</mml:mi></mml:msub></mml:mrow><mml:mi mathvariant="normal">MLD</mml:mi></mml:mfrac></mml:mstyle></mml:mfenced><mml:mn mathvariant="normal">2</mml:mn></mml:msup><mml:mo>+</mml:mo><mml:msup><mml:mfenced open="(" close=")"><mml:mstyle displaystyle="true"><mml:mfrac style="display"><mml:mrow><mml:msub><mml:mi mathvariant="normal">SEM</mml:mi><mml:mrow><mml:msub><mml:mi mathvariant="normal">Kd</mml:mi><mml:mi mathvariant="normal">PAR</mml:mi></mml:msub></mml:mrow></mml:msub></mml:mrow><mml:mrow><mml:msub><mml:mi mathvariant="normal">Kd</mml:mi><mml:mi mathvariant="normal">PAR</mml:mi></mml:msub></mml:mrow></mml:mfrac></mml:mstyle></mml:mfenced><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:mrow></mml:msqrt></mml:mrow></mml:math></disp-formula>

          where <inline-formula><mml:math id="M369" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="normal">SEM</mml:mi><mml:mi mathvariant="normal">PAR</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> is the standard error of the mean of the merged daily PAR product, <inline-formula><mml:math id="M370" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="normal">SEM</mml:mi><mml:mi mathvariant="normal">MLD</mml:mi></mml:msub><mml:mo>=</mml:mo><mml:mo>max⁡</mml:mo><mml:mo>(</mml:mo><mml:mn mathvariant="normal">0.2</mml:mn><mml:mo>×</mml:mo><mml:mi mathvariant="normal">MLD</mml:mi></mml:mrow></mml:math></inline-formula>, 5 m), and <inline-formula><mml:math id="M371" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="normal">SEM</mml:mi><mml:mrow><mml:msub><mml:mi mathvariant="normal">Kd</mml:mi><mml:mi mathvariant="normal">PAR</mml:mi></mml:msub></mml:mrow></mml:msub><mml:mo>=</mml:mo><mml:msub><mml:mi mathvariant="normal">SEM</mml:mi><mml:mrow><mml:mo>[</mml:mo><mml:mi mathvariant="normal">Chl</mml:mi><mml:mspace linebreak="nobreak" width="0.25em"/><mml:mi>a</mml:mi><mml:mo>]</mml:mo></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula> since <inline-formula><mml:math id="M372" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="normal">Kd</mml:mi><mml:mi mathvariant="normal">PAR</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> is estimated from the [Chl <italic>a</italic>] merged products.</p>
      <p id="d2e8644">Since <inline-formula><mml:math id="M373" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">η</mml:mi><mml:mo>′</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula> ranges from negative to positive values, we expressed its uncertainties as follows:

            <disp-formula id="App1.Ch1.S1.E19" content-type="numbered"><label>A12</label><mml:math id="M374" display="block"><mml:mrow><mml:msub><mml:mi mathvariant="normal">SEM</mml:mi><mml:mrow><mml:msup><mml:mi mathvariant="italic">η</mml:mi><mml:mo>′</mml:mo></mml:msup></mml:mrow></mml:msub><mml:mo>=</mml:mo><mml:mo>|</mml:mo><mml:msup><mml:mi mathvariant="italic">η</mml:mi><mml:mo>′</mml:mo></mml:msup><mml:mo>|</mml:mo><mml:mo>×</mml:mo><mml:msqrt><mml:mrow><mml:msup><mml:mfenced close=")" open="("><mml:mstyle displaystyle="true"><mml:mfrac style="display"><mml:mrow><mml:msub><mml:mi mathvariant="normal">SEM</mml:mi><mml:mrow><mml:msub><mml:mi>I</mml:mi><mml:mi mathvariant="normal">ML</mml:mi></mml:msub></mml:mrow></mml:msub></mml:mrow><mml:mrow><mml:msub><mml:mi>I</mml:mi><mml:mi mathvariant="normal">ML</mml:mi></mml:msub></mml:mrow></mml:mfrac></mml:mstyle></mml:mfenced><mml:mn mathvariant="normal">2</mml:mn></mml:msup><mml:mo>+</mml:mo><mml:msup><mml:mfenced open="(" close=")"><mml:mstyle displaystyle="true"><mml:mfrac style="display"><mml:mrow><mml:msub><mml:mi mathvariant="normal">SEM</mml:mi><mml:mrow><mml:msubsup><mml:mi mathvariant="italic">η</mml:mi><mml:mi mathvariant="normal">obs</mml:mi><mml:mo>′</mml:mo></mml:msubsup></mml:mrow></mml:msub></mml:mrow><mml:mrow><mml:msubsup><mml:mi mathvariant="italic">η</mml:mi><mml:mi mathvariant="normal">obs</mml:mi><mml:mo>′</mml:mo></mml:msubsup></mml:mrow></mml:mfrac></mml:mstyle></mml:mfenced><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:mrow></mml:msqrt></mml:mrow></mml:math></disp-formula>

          We assumed that the uncertainties associated with the computation of <inline-formula><mml:math id="M375" display="inline"><mml:mrow><mml:msub><mml:mover accent="true"><mml:mi mathvariant="italic">η</mml:mi><mml:mo mathvariant="normal" stretchy="false">^</mml:mo></mml:mover><mml:mrow><mml:msub><mml:mi mathvariant="normal">obs</mml:mi><mml:mi mathvariant="normal">min</mml:mi></mml:msub></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M376" display="inline"><mml:mrow><mml:msub><mml:mover accent="true"><mml:mi mathvariant="italic">η</mml:mi><mml:mo mathvariant="normal" stretchy="false">^</mml:mo></mml:mover><mml:mrow><mml:msub><mml:mi mathvariant="normal">obs</mml:mi><mml:mi mathvariant="normal">max</mml:mi></mml:msub></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula> fits were negligible compared to <inline-formula><mml:math id="M377" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="normal">SEM</mml:mi><mml:mrow><mml:msub><mml:mi>I</mml:mi><mml:mi mathvariant="normal">ML</mml:mi></mml:msub></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M378" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="normal">SEM</mml:mi><mml:mrow><mml:msubsup><mml:mi mathvariant="italic">η</mml:mi><mml:mi mathvariant="normal">obs</mml:mi><mml:mo>′</mml:mo></mml:msubsup></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula>, given the substantial number of valid <inline-formula><mml:math id="M379" display="inline"><mml:mrow><mml:msubsup><mml:mi mathvariant="italic">η</mml:mi><mml:mi mathvariant="normal">obs</mml:mi><mml:mo>′</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula> pixels per <inline-formula><mml:math id="M380" display="inline"><mml:mrow><mml:msub><mml:mi>I</mml:mi><mml:mi mathvariant="normal">ML</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> bin used to compute <inline-formula><mml:math id="M381" display="inline"><mml:mrow><mml:msub><mml:mover accent="true"><mml:mi mathvariant="italic">η</mml:mi><mml:mo stretchy="false" mathvariant="normal">^</mml:mo></mml:mover><mml:mrow><mml:msub><mml:mi mathvariant="normal">obs</mml:mi><mml:mi mathvariant="normal">min</mml:mi></mml:msub></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M382" display="inline"><mml:mrow><mml:msub><mml:mover accent="true"><mml:mi mathvariant="italic">η</mml:mi><mml:mo mathvariant="normal" stretchy="false">^</mml:mo></mml:mover><mml:mrow><mml:msub><mml:mi mathvariant="normal">obs</mml:mi><mml:mi mathvariant="normal">max</mml:mi></mml:msub></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula> fits (on average <inline-formula><mml:math id="M383" display="inline"><mml:mrow><mml:mn mathvariant="normal">1.13</mml:mn><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="normal">10</mml:mn><mml:mn mathvariant="normal">7</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula> pixels per <inline-formula><mml:math id="M384" display="inline"><mml:mrow><mml:msub><mml:mi>I</mml:mi><mml:mi mathvariant="normal">ML</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> bin). Since the mixed layer is often shallower than <inline-formula><mml:math id="M385" display="inline"><mml:mrow><mml:msub><mml:mi>Z</mml:mi><mml:mi mathvariant="normal">eu</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> in this region, <inline-formula><mml:math id="M386" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="normal">Kd</mml:mi><mml:mrow><mml:msub><mml:mi mathvariant="normal">PAR</mml:mi><mml:mrow><mml:msub><mml:mi>Z</mml:mi><mml:mi mathvariant="normal">eu</mml:mi></mml:msub></mml:mrow></mml:msub></mml:mrow></mml:msub><mml:mo>&gt;</mml:mo><mml:msub><mml:mi mathvariant="normal">Kd</mml:mi><mml:mrow><mml:msub><mml:mi mathvariant="normal">PAR</mml:mi><mml:mi mathvariant="normal">MLD</mml:mi></mml:msub></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula>. Therefore, we tested the sensitivity of <inline-formula><mml:math id="M387" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">η</mml:mi><mml:mo>′</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula> computation using two different empirical methods to estimate <inline-formula><mml:math id="M388" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="normal">Kd</mml:mi><mml:mi mathvariant="normal">PAR</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> from [Chl <italic>a</italic>]. In addition to the method presented in Sect. <xref ref-type="sec" rid="Ch1.S2.SS4"/> for computing <inline-formula><mml:math id="M389" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="normal">Kd</mml:mi><mml:mi mathvariant="normal">PAR</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> from <inline-formula><mml:math id="M390" display="inline"><mml:mrow><mml:msub><mml:mi>Z</mml:mi><mml:mi mathvariant="normal">eu</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>, we estimate <inline-formula><mml:math id="M391" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="normal">Kd</mml:mi><mml:mn mathvariant="normal">490</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> from [Chl <italic>a</italic>] and <inline-formula><mml:math id="M392" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="normal">Kd</mml:mi><mml:mi mathvariant="normal">PAR</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> from <inline-formula><mml:math id="M393" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="normal">Kd</mml:mi><mml:mn mathvariant="normal">490</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> using Eqs. (8) and (9) from <xref ref-type="bibr" rid="bib1.bibx73" id="text.119"/>. Differences in <inline-formula><mml:math id="M394" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">η</mml:mi><mml:mo>′</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula> were negligible in all four case studies (that is, the maximum difference ranging from <inline-formula><mml:math id="M395" display="inline"><mml:mrow><mml:msup><mml:mn mathvariant="normal">10</mml:mn><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> to 0.05), and the spatial and temporal trends remained consistent between the two calculation methods.</p>
</sec>
</app>

<app id="App1.Ch1.S2">
  <label>Appendix B</label><title>Phytoplankton physiology in Rapa Nui, Society Islands, Samoa, and Fiji-Tonga' IMEs</title>
      <p id="d2e9059">We aggregated satellite data from all IME and BO pixels of each studied archipelago across the 6-month time series to quantify differences between IME and BO regions and compare these differences among archipelagos. We assessed normality independently for each category using a Lilliefors test. When all categories satisfied the normality assumption, differences were evaluated using a parametric analysis of variance (ANOVA); otherwise, a non-parametric Kruskal–Wallis test was applied. Because each violin plot represents a very large number of observations (i.e. between 2.5 and 12 million data points), statistically significant differences were detected for all variables between IME and BO regions; however, the magnitude of these differences varies among parameters and regions and should be interpreted accordingly.</p>
      <p id="d2e9062">We analyzed inbound and outbound transects around Rapa Nui, Society Islands, and Samoa to identify processes associated with potential nutrient enrichments, as done in Sect. <xref ref-type="sec" rid="Ch1.S3.SS2"/> for Fiji. In these three case studies, <inline-formula><mml:math id="M396" display="inline"><mml:mrow><mml:msub><mml:mi>b</mml:mi><mml:mi mathvariant="normal">bp</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> was not measured in situ, therefore, we computed the ratio between [Chl <italic>a</italic>] and <inline-formula><mml:math id="M397" display="inline"><mml:mrow><mml:msub><mml:mi>c</mml:mi><mml:mi mathvariant="normal">p</mml:mi></mml:msub><mml:mn mathvariant="normal">660</mml:mn></mml:mrow></mml:math></inline-formula> (<inline-formula><mml:math id="M398" display="inline"><mml:mrow><mml:mo>[</mml:mo><mml:mi mathvariant="normal">Chl</mml:mi><mml:mspace width="0.25em" linebreak="nobreak"/><mml:mi>a</mml:mi><mml:mo>]</mml:mo><mml:mo>/</mml:mo><mml:msub><mml:mi>c</mml:mi><mml:mi mathvariant="normal">p</mml:mi></mml:msub><mml:mn mathvariant="normal">660</mml:mn></mml:mrow></mml:math></inline-formula>) as an alternative for <inline-formula><mml:math id="M399" display="inline"><mml:mrow><mml:mo>[</mml:mo><mml:mi mathvariant="normal">Chl</mml:mi><mml:mspace linebreak="nobreak" width="0.25em"/><mml:mi>a</mml:mi><mml:mo>]</mml:mo><mml:mo>/</mml:mo><mml:mo>[</mml:mo><mml:msub><mml:mi>C</mml:mi><mml:mi mathvariant="normal">phyto</mml:mi></mml:msub><mml:mo>]</mml:mo></mml:mrow></mml:math></inline-formula> <xref ref-type="bibr" rid="bib1.bibx2" id="paren.120"><named-content content-type="pre">Figs. <xref ref-type="fig" rid="FB2"/>, <xref ref-type="fig" rid="FB4"/>, <xref ref-type="fig" rid="FB6"/>;</named-content></xref>. These results show that <inline-formula><mml:math id="M400" display="inline"><mml:mrow><mml:mo>[</mml:mo><mml:mi mathvariant="normal">Chl</mml:mi><mml:mspace width="0.25em" linebreak="nobreak"/><mml:mi>a</mml:mi><mml:mo>]</mml:mo><mml:mo>/</mml:mo><mml:msub><mml:mi>c</mml:mi><mml:mi mathvariant="normal">p</mml:mi></mml:msub><mml:mn mathvariant="normal">660</mml:mn></mml:mrow></mml:math></inline-formula>, measured in situ along the transects, generally follows similar spatial trends to <inline-formula><mml:math id="M401" display="inline"><mml:mrow><mml:mo>[</mml:mo><mml:mi mathvariant="normal">Chl</mml:mi><mml:mspace linebreak="nobreak" width="0.25em"/><mml:mi>a</mml:mi><mml:mo>]</mml:mo><mml:mo>/</mml:mo><mml:mo>[</mml:mo><mml:msub><mml:mi>C</mml:mi><mml:mi mathvariant="normal">phyto</mml:mi></mml:msub><mml:mo>]</mml:mo></mml:mrow></mml:math></inline-formula> measured from satellite data, although the magnitude of these two ratios differs significantly. In all three cases, sudden synchronized changes in SST and SSS were detected along the inbound and outbound transects, indicating the presence of fronts between different water masses. These water mass changes were accompanied by higher <inline-formula><mml:math id="M402" display="inline"><mml:mrow><mml:mo>[</mml:mo><mml:mi mathvariant="normal">Chl</mml:mi><mml:mspace width="0.25em" linebreak="nobreak"/><mml:mi>a</mml:mi><mml:mo>]</mml:mo><mml:mo>/</mml:mo><mml:msub><mml:mi>c</mml:mi><mml:mi mathvariant="normal">p</mml:mi></mml:msub><mml:mn mathvariant="normal">660</mml:mn></mml:mrow></mml:math></inline-formula> in the IME zone on the outbound transects of Rapa Nui (Fig. <xref ref-type="fig" rid="FB2"/>) and the Society Islands (also associated with lower <inline-formula><mml:math id="M403" display="inline"><mml:mrow><mml:mo>[</mml:mo><mml:mi mathvariant="normal">PPC</mml:mi><mml:mo>]</mml:mo><mml:mo>/</mml:mo><mml:mo>[</mml:mo><mml:mi mathvariant="normal">Chl</mml:mi><mml:mspace linebreak="nobreak" width="0.25em"/><mml:mi>a</mml:mi><mml:mo>]</mml:mo></mml:mrow></mml:math></inline-formula> in that case; Fig. <xref ref-type="fig" rid="FB4"/>), suggesting the upwelling of low-light-adapted cells to the surface. No evidence of such upwelling was detected around Samoa; however, the strong increase in SST and decrease in SSS detected while crossing the IME zone south of Samoa on the inbound transect indicate a front between BO waters and IME waters. The IME zone properties were similar to those of coastal water masses characterized by significantly high nitrogen concentrations for the region (up to 1 <inline-formula><mml:math id="M404" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi><mml:mi mathvariant="normal">M</mml:mi></mml:mrow></mml:math></inline-formula> of dissolved organic nitrogen), higher SST, and lower, more variable SSS, which are typical of water masses influenced by freshwater discharge (Fig. <xref ref-type="fig" rid="FB6"/>). These findings suggest that the IME zone observed offshore along the inbound transect was likely caused by nitrogen inputs from terrigenous sources, discharged into the coastal ocean via rivers, and subsequently advected offshore by coastal currents. Figure <xref ref-type="fig" rid="FB5"/> reveals an artificially sharp line of increasing <inline-formula><mml:math id="M405" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="normal">Φ</mml:mi><mml:mi mathvariant="normal">Sat</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> across the outbound transect, likely due to an anomaly in nFLH or iPAR estimation. To avoid misinterpretation, this section was removed from Fig. <xref ref-type="fig" rid="FB4"/> on the outbound transect. Overall, <inline-formula><mml:math id="M406" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="normal">Φ</mml:mi><mml:mi mathvariant="normal">Sat</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> consistently decreased when approaching each of these three islands, and was generally associated with increased total iron concentration, although two stations exhibited low total iron concentrations close to shore, notably on the inbound transects of Rapa Nui and Samoa. In contrast, the decrease in <inline-formula><mml:math id="M407" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">η</mml:mi><mml:mo>′</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula> near these three islands was more variable. While <inline-formula><mml:math id="M408" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">η</mml:mi><mml:mo>′</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula> declined in Samoa's IME, it only exhibited a marginal decrease in the IME zones of Rapa Nui and the Society Islands, despite signatures of upwelling being detected during these transects. In all cases, <inline-formula><mml:math id="M409" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">η</mml:mi><mml:mo>′</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula> decreased sharply in the coastal zones, where the 8 km spatial resolution of the MLD product used for computing <inline-formula><mml:math id="M410" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">η</mml:mi><mml:mo>′</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula> is likely too coarse to accurately estimate <inline-formula><mml:math id="M411" display="inline"><mml:mrow><mml:msub><mml:mi>I</mml:mi><mml:mi mathvariant="normal">ML</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M412" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">η</mml:mi><mml:mo>′</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula>.</p>
      <p id="d2e9364">We classified all in situ data (i.e. continuous underway data, macronutrient concentrations, and iron concentrations) into three different categories to identify the differences in the studied variables between the BO, coastal IME, and advected IME. The objective of this analysis is to assess quantitatively the differences between the shallow coastal IME and the open ocean advected IME and identify potential mechanisms involved in their development. All in situ data located outside IME zones that were delineated from satellite data, and with a bathymetry deeper than 100 m, were included in the BO category. All in situ data located inside the IME zones detected from satellite data and with a bathymetry deeper than 100 m were included in the “IME advected” category, and all in situ data located inside the IME zones but from locations with a bathymetry shallower than 100 m were grouped into the  “IME coastal” category. We extracted different parameters, all measured from the underway continuous system, and tested if they were significantly different between categories. The significance level is showed by the asterisks on the violin plots.</p>
      <p id="d2e9367">These categories include data measured during both the inbound and outbound transect for each of the four island groups analyzed with different duration separating the inbound and outbound transects for stopover (i.e. 7 d for Rapa Nui, 38 d for Mo'orea in the Society Islands, 5 d for Samoa, and 10 d for Fiji; see Figs. <xref ref-type="fig" rid="F5"/>, <xref ref-type="fig" rid="FB2"/>, <xref ref-type="fig" rid="FB4"/>, <xref ref-type="fig" rid="FB6"/>). Therefore, the comparison of in situ bio-optical properties between the three categories highlights differences consistent over the inbound and outbound transects (Figs. <xref ref-type="fig" rid="FB8"/> and <xref ref-type="fig" rid="FD1"/>). However, it is important to acknowledge that different water masses were sampled between these transects, particularly in the case of the Society Islands, where 38 d separated the inbound and outbound transects.</p>

      <fig id="FB1"><label>Figure B1</label><caption><p id="d2e9386">Violin plots chlorophyll <italic>a</italic> concentration ([Chl <italic>a</italic>]), backscattering coefficient at 443 nm (<inline-formula><mml:math id="M413" display="inline"><mml:mrow><mml:msub><mml:mi>b</mml:mi><mml:mi mathvariant="normal">bp</mml:mi></mml:msub><mml:mn mathvariant="normal">443</mml:mn></mml:mrow></mml:math></inline-formula>), ratio of [Chl <italic>a</italic>] to phytoplankton carbon (<inline-formula><mml:math id="M414" display="inline"><mml:mrow><mml:mo>[</mml:mo><mml:mi mathvariant="normal">Chl</mml:mi><mml:mspace width="0.25em" linebreak="nobreak"/><mml:mi>a</mml:mi><mml:mo>]</mml:mo><mml:mo>/</mml:mo><mml:mo>[</mml:mo><mml:msub><mml:mi>C</mml:mi><mml:mi mathvariant="normal">phyto</mml:mi></mml:msub><mml:mo>]</mml:mo></mml:mrow></mml:math></inline-formula>), iron stress index (<inline-formula><mml:math id="M415" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="normal">Φ</mml:mi><mml:mi mathvariant="normal">Sat</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>; iron stress index), macronutrient stress index (<inline-formula><mml:math id="M416" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">η</mml:mi><mml:mo>′</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula>), mixed layer depth (MLD), and sea surface temperature (SST) of all the 2025 IME realizations and their corresponding BO zones showed in Fig. <xref ref-type="fig" rid="F4"/>. The violin plots show the distribution of all individual pixels of the 8 d median products along the 6-month period studied. The asterisks represent the pairwise significant differences between the studied parameters in IME categories (* <inline-formula><mml:math id="M417" display="inline"><mml:mrow><mml:mo>=</mml:mo><mml:mi>p</mml:mi><mml:mo>&lt;</mml:mo><mml:mn mathvariant="normal">0.05</mml:mn></mml:mrow></mml:math></inline-formula>, ** <inline-formula><mml:math id="M418" display="inline"><mml:mrow><mml:mo>=</mml:mo><mml:mn mathvariant="normal">0.05</mml:mn><mml:mo>⩽</mml:mo><mml:mi>p</mml:mi><mml:mo>&lt;</mml:mo><mml:mn mathvariant="normal">0.01</mml:mn></mml:mrow></mml:math></inline-formula>, *** <inline-formula><mml:math id="M419" display="inline"><mml:mrow><mml:mo>=</mml:mo><mml:mn mathvariant="normal">0.01</mml:mn><mml:mo>⩽</mml:mo><mml:mi>p</mml:mi><mml:mo>&lt;</mml:mo><mml:mn mathvariant="normal">0.001</mml:mn></mml:mrow></mml:math></inline-formula>).</p></caption>
        
        <graphic xlink:href="https://bg.copernicus.org/articles/23/2687/2026/bg-23-2687-2026-f14.png"/>

      </fig>

<fig id="FB2"><label>Figure B2</label><caption><p id="d2e9523">Underway data measured during the inbound (left panels) and outbound (right panels) transects around Rapa Nui and their satellite counterparts, when available. <bold>(A)</bold> Chlorophyll <italic>a</italic> concentration ([Chl <italic>a</italic>]) and bathymetry, <bold>(B)</bold> sea surface temperature (SST), <bold>(C)</bold> sea surface salinity (SSS), <bold>(D)</bold> [Chl <italic>a</italic>] to phytoplankton carbon ratio from satellite (<inline-formula><mml:math id="M420" display="inline"><mml:mrow><mml:mo>[</mml:mo><mml:mi mathvariant="normal">Chl</mml:mi><mml:mspace width="0.25em" linebreak="nobreak"/><mml:mi>a</mml:mi><mml:mo>]</mml:mo><mml:mo>/</mml:mo><mml:mo>[</mml:mo><mml:msub><mml:mi>C</mml:mi><mml:mi mathvariant="normal">phyto</mml:mi></mml:msub><mml:mo>]</mml:mo></mml:mrow></mml:math></inline-formula>) and [Chl <italic>a</italic>] to beam attenuation at 660 nm from in-situ underway (<inline-formula><mml:math id="M421" display="inline"><mml:mrow><mml:mo>[</mml:mo><mml:mi mathvariant="normal">Chl</mml:mi><mml:mspace linebreak="nobreak" width="0.25em"/><mml:mi>a</mml:mi><mml:mo>]</mml:mo><mml:mo>/</mml:mo><mml:msub><mml:mi>c</mml:mi><mml:mi mathvariant="normal">p</mml:mi></mml:msub><mml:mn mathvariant="normal">660</mml:mn></mml:mrow></mml:math></inline-formula>), <bold>(E)</bold> fluorescence quantum yield (<inline-formula><mml:math id="M422" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="normal">Φ</mml:mi><mml:mi mathvariant="normal">Sat</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>; iron stress index) and total iron concentration measured at sampling stations, <bold>(F)</bold> macronutrient stress index (<inline-formula><mml:math id="M423" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">η</mml:mi><mml:mo>′</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula>) and macronutrient concentrations measured at sampling stations. The blue points show in situ data falling in IME zones detected on the overlapping 8 d satellite composite (BO <inline-formula><mml:math id="M424" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> black circle, IME <inline-formula><mml:math id="M425" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> blue diamond). The points show the minute-binned underway data, and the solid lines represent the underway data smoothed with a 2h low-pass digital filter. The gray shaded area highlights the coastal upwelling zone, and the beige shaded area highlights the transect over shallow waters (<inline-formula><mml:math id="M426" display="inline"><mml:mrow><mml:mo>&lt;</mml:mo><mml:mn mathvariant="normal">100</mml:mn></mml:mrow></mml:math></inline-formula> m depth). The red vertical lines represent the start and end times of the inbound and outbound transect sections shown in Fig. <xref ref-type="fig" rid="FB3"/>.</p></caption>
        
        <graphic xlink:href="https://bg.copernicus.org/articles/23/2687/2026/bg-23-2687-2026-f15.jpg"/>

      </fig>

<fig id="FB3"><label>Figure B3</label><caption><p id="d2e9668">8 d median satellite maps zoomed on the inbound (left-hand-side panels) and outbound transects (right-hand-side panels) around Rapa Nui (arrow shows sailing direction). The blue contour delineates the island mass effect zone detected from satellite chlorophyll <italic>a</italic> concentration ([Chl <italic>a</italic>]). In situ underway measurements are overlaid on the satellite map if the same variable was measured from satellite estimates and the underway system. <bold>(A)</bold> [Chl <italic>a</italic>], <bold>(B)</bold> sea surface temperature (SST), <bold>(C)</bold> [Chl <italic>a</italic>] to phytoplankton carbon ratio from satellite (<inline-formula><mml:math id="M427" display="inline"><mml:mrow><mml:mo>[</mml:mo><mml:mi mathvariant="normal">Chl</mml:mi><mml:mspace width="0.25em" linebreak="nobreak"/><mml:mi>a</mml:mi><mml:mo>]</mml:mo><mml:mo>/</mml:mo><mml:mo>[</mml:mo><mml:msub><mml:mi>C</mml:mi><mml:mi mathvariant="normal">phyto</mml:mi></mml:msub><mml:mo>]</mml:mo></mml:mrow></mml:math></inline-formula>) and [Chl <italic>a</italic>] to beam attenuation at 660 nm from in-situ underway (<inline-formula><mml:math id="M428" display="inline"><mml:mrow><mml:mo>[</mml:mo><mml:mi mathvariant="normal">Chl</mml:mi><mml:mspace linebreak="nobreak" width="0.25em"/><mml:mi>a</mml:mi><mml:mo>]</mml:mo><mml:mo>/</mml:mo><mml:msub><mml:mi>c</mml:mi><mml:mi mathvariant="normal">p</mml:mi></mml:msub><mml:mn mathvariant="normal">660</mml:mn></mml:mrow></mml:math></inline-formula>), <bold>(D)</bold> fluorescence quantum yield (<inline-formula><mml:math id="M429" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">ϕ</mml:mi><mml:mi mathvariant="normal">Sat</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>; iron stress index), <bold>(E)</bold> macronutrient stress index (<inline-formula><mml:math id="M430" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">η</mml:mi><mml:mo>′</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula>). Entire six-month animated time series accessible in video supplements (Animation S2).</p></caption>
        
        <graphic xlink:href="https://bg.copernicus.org/articles/23/2687/2026/bg-23-2687-2026-f16.jpg"/>

      </fig>

<fig id="FB4"><label>Figure B4</label><caption><p id="d2e9787">Underway data measured during the inbound (left panels) and outbound (right panels) transects around Society Islands and their satellite counterparts, when available. <bold>(A)</bold> Chlorophyll <italic>a</italic> concentration ([Chl <italic>a</italic>]) and bathymetry, <bold>(B)</bold> sea surface temperature (SST), <bold>(C)</bold> sea surface salinity (SSS), <bold>(D)</bold> Photo-protective carotenoids proportion (<inline-formula><mml:math id="M431" display="inline"><mml:mrow><mml:mo>[</mml:mo><mml:mi mathvariant="normal">PPC</mml:mi><mml:mo>]</mml:mo><mml:mo>/</mml:mo><mml:mo>[</mml:mo><mml:mi mathvariant="normal">Chl</mml:mi><mml:mspace linebreak="nobreak" width="0.25em"/><mml:mi>a</mml:mi><mml:mo>]</mml:mo></mml:mrow></mml:math></inline-formula>), <bold>(E)</bold> [Chl <italic>a</italic>] to phytoplankton carbon ratio from satellite (<inline-formula><mml:math id="M432" display="inline"><mml:mrow><mml:mo>[</mml:mo><mml:mi mathvariant="normal">Chl</mml:mi><mml:mspace width="0.25em" linebreak="nobreak"/><mml:mi>a</mml:mi><mml:mo>]</mml:mo><mml:mo>/</mml:mo><mml:mo>[</mml:mo><mml:msub><mml:mi>C</mml:mi><mml:mi mathvariant="normal">phyto</mml:mi></mml:msub><mml:mo>]</mml:mo></mml:mrow></mml:math></inline-formula>) and [Chl <italic>a</italic>] to beam attenuation at 660 nm from in-situ underway (<inline-formula><mml:math id="M433" display="inline"><mml:mrow><mml:mo>[</mml:mo><mml:mi mathvariant="normal">Chl</mml:mi><mml:mspace width="0.25em" linebreak="nobreak"/><mml:mi>a</mml:mi><mml:mo>]</mml:mo><mml:mo>/</mml:mo><mml:msub><mml:mi>c</mml:mi><mml:mi mathvariant="normal">p</mml:mi></mml:msub><mml:mn mathvariant="normal">660</mml:mn></mml:mrow></mml:math></inline-formula>), <bold>(F)</bold> fluorescence quantum yield (<inline-formula><mml:math id="M434" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="normal">Φ</mml:mi><mml:mi mathvariant="normal">Sat</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>; iron stress index) and total iron concentration measured at sampling stations, <bold>(G)</bold> macronutrient stress index (<inline-formula><mml:math id="M435" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">η</mml:mi><mml:mo>′</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula>) and macronutrient concentrations measured at sampling stations. The blue points show in situ data falling in IME zones detected on the overlapping 8 d satellite composite (BO <inline-formula><mml:math id="M436" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> black circle, IME <inline-formula><mml:math id="M437" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> blue diamond). The points show the minute-binned underway data, and the solid lines represent the underway data smoothed with a 2 h low-pass digital filter. The gray shaded area highlights the coastal upwelling zone, and the beige shaded area highlights the transect over shallow waters (<inline-formula><mml:math id="M438" display="inline"><mml:mrow><mml:mo>&lt;</mml:mo><mml:mn mathvariant="normal">100</mml:mn></mml:mrow></mml:math></inline-formula> m depth). The red vertical lines represent the start and end times of the inbound and outbound transect sections shown in Fig. <xref ref-type="fig" rid="FB3"/>.</p></caption>
        
        <graphic xlink:href="https://bg.copernicus.org/articles/23/2687/2026/bg-23-2687-2026-f17.png"/>

      </fig>

<fig id="FB5"><label>Figure B5</label><caption><p id="d2e9958">8 d median satellite maps zoomed on the inbound (left-hand-side panels) and outbound transects (right-hand-side panels) around Society Islands (arrow shows sailing direction). The blue contour delineates the island mass effect zone detected from satellite chlorophyll <italic>a</italic> concentration ([Chl <italic>a</italic>]). In situ underway measurements are overlaid on the satellite map if the same variable was measured from satellite estimates and the underway system. <bold>(A)</bold> [Chl <italic>a</italic>], <bold>(B)</bold> sea surface temperature (SST), <bold>(C)</bold> [Chl <italic>a</italic>] to phytoplankton carbon ratio from satellite (<inline-formula><mml:math id="M439" display="inline"><mml:mrow><mml:mo>[</mml:mo><mml:mi mathvariant="normal">Chl</mml:mi><mml:mspace width="0.25em" linebreak="nobreak"/><mml:mi>a</mml:mi><mml:mo>]</mml:mo><mml:mo>/</mml:mo><mml:mo>[</mml:mo><mml:msub><mml:mi>C</mml:mi><mml:mi mathvariant="normal">phyto</mml:mi></mml:msub><mml:mo>]</mml:mo></mml:mrow></mml:math></inline-formula>) and [Chl <italic>a</italic>] to beam attenuation at 660 nm from in-situ underway (<inline-formula><mml:math id="M440" display="inline"><mml:mrow><mml:mo>[</mml:mo><mml:mi mathvariant="normal">Chl</mml:mi><mml:mspace linebreak="nobreak" width="0.25em"/><mml:mi>a</mml:mi><mml:mo>]</mml:mo><mml:mo>/</mml:mo><mml:msub><mml:mi>c</mml:mi><mml:mi mathvariant="normal">p</mml:mi></mml:msub><mml:mn mathvariant="normal">660</mml:mn></mml:mrow></mml:math></inline-formula>), <bold>(D)</bold> fluorescence quantum yield (<inline-formula><mml:math id="M441" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">ϕ</mml:mi><mml:mi mathvariant="normal">Sat</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>; iron stress index), <bold>(E)</bold> macronutrient stress index (<inline-formula><mml:math id="M442" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">η</mml:mi><mml:mo>′</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula>). Entire six-month animated time series accessible in video supplements (Animation S3).</p></caption>
        
        <graphic xlink:href="https://bg.copernicus.org/articles/23/2687/2026/bg-23-2687-2026-f18.jpg"/>

      </fig>

<fig id="FB6"><label>Figure B6</label><caption><p id="d2e10076">Underway data measured during the inbound (left panels) and outbound (right panels) transects around Samoa and their satellite counterparts, when available. <bold>(A)</bold> Chlorophyll <italic>a</italic> concentration ([Chl <italic>a</italic>]) and bathymetry, <bold>(B)</bold> sea surface temperature (SST), <bold>(C)</bold> sea surface salinity (SSS), <bold>(D)</bold> Photo-protective carotenoids proportion (<inline-formula><mml:math id="M443" display="inline"><mml:mrow><mml:mo>[</mml:mo><mml:mi mathvariant="normal">PPC</mml:mi><mml:mo>]</mml:mo><mml:mo>/</mml:mo><mml:mo>[</mml:mo><mml:mi mathvariant="normal">Chl</mml:mi><mml:mspace linebreak="nobreak" width="0.25em"/><mml:mi>a</mml:mi><mml:mo>]</mml:mo></mml:mrow></mml:math></inline-formula>), <bold>(E)</bold> [Chl <italic>a</italic>] to phytoplankton carbon ratio from satellite (<inline-formula><mml:math id="M444" display="inline"><mml:mrow><mml:mo>[</mml:mo><mml:mi mathvariant="normal">Chl</mml:mi><mml:mspace linebreak="nobreak" width="0.25em"/><mml:mi>a</mml:mi><mml:mo>]</mml:mo><mml:mo>/</mml:mo><mml:mo>[</mml:mo><mml:msub><mml:mi>C</mml:mi><mml:mi mathvariant="normal">phyto</mml:mi></mml:msub><mml:mo>]</mml:mo></mml:mrow></mml:math></inline-formula>) and [Chl <italic>a</italic>] to beam attenuation at 660 nm from in-situ underway (<inline-formula><mml:math id="M445" display="inline"><mml:mrow><mml:mo>[</mml:mo><mml:mi mathvariant="normal">Chl</mml:mi><mml:mspace width="0.25em" linebreak="nobreak"/><mml:mi>a</mml:mi><mml:mo>]</mml:mo><mml:mo>/</mml:mo><mml:msub><mml:mi>c</mml:mi><mml:mi mathvariant="normal">p</mml:mi></mml:msub><mml:mn mathvariant="normal">660</mml:mn></mml:mrow></mml:math></inline-formula>), <bold>(F)</bold> fluorescence quantum yield (<inline-formula><mml:math id="M446" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="normal">Φ</mml:mi><mml:mi mathvariant="normal">Sat</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>; iron stress index) and total iron concentration measured at sampling stations, <bold>(G)</bold> macronutrient stress index (<inline-formula><mml:math id="M447" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">η</mml:mi><mml:mo>′</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula>) and macronutrient concentrations measured at sampling stations. The blue points show in situ data falling in IME zones detected on the overlapping 8 d satellite composite (BO <inline-formula><mml:math id="M448" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> black circle, IME <inline-formula><mml:math id="M449" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> blue diamond). The points show the minute-binned underway data, and the solid lines represent the underway data smoothed with a 2 h low-pass digital filter. The gray shaded area highlights the coastal upwelling zone, and the beige shaded area highlights the transect over shallow waters (<inline-formula><mml:math id="M450" display="inline"><mml:mrow><mml:mo>&lt;</mml:mo><mml:mn mathvariant="normal">100</mml:mn></mml:mrow></mml:math></inline-formula> m depth). The red vertical lines represent the start and end times of the inbound and outbound transect sections shown in Fig. <xref ref-type="fig" rid="FB7"/>.</p></caption>
        
        <graphic xlink:href="https://bg.copernicus.org/articles/23/2687/2026/bg-23-2687-2026-f19.png"/>

      </fig>

<fig id="FB7"><label>Figure B7</label><caption><p id="d2e10248">8 d median satellite maps zoomed on the inbound (left-hand-side panels) and outbound transects (right-hand-side panels) around Samoa (arrow shows sailing direction). The blue contour delineates the island mass effect zone detected from satellite chlorophyll <italic>a</italic> concentration ([Chl <italic>a</italic>]). In situ underway measurements are overlaid on the satellite map if the same variable was measured from satellite estimates and the underway system. <bold>(A)</bold> [Chl <italic>a</italic>], <bold>(B)</bold> sea surface temperature (SST), <bold>(C)</bold> [Chl <italic>a</italic>] to phytoplankton carbon ratio from satellite (<inline-formula><mml:math id="M451" display="inline"><mml:mrow><mml:mo>[</mml:mo><mml:mi mathvariant="normal">Chl</mml:mi><mml:mspace width="0.25em" linebreak="nobreak"/><mml:mi>a</mml:mi><mml:mo>]</mml:mo><mml:mo>/</mml:mo><mml:mo>[</mml:mo><mml:msub><mml:mi>C</mml:mi><mml:mi mathvariant="normal">phyto</mml:mi></mml:msub><mml:mo>]</mml:mo></mml:mrow></mml:math></inline-formula>) and [Chl <italic>a</italic>] to beam attenuation at 660 nm from in-situ underway (<inline-formula><mml:math id="M452" display="inline"><mml:mrow><mml:mo>[</mml:mo><mml:mi mathvariant="normal">Chl</mml:mi><mml:mspace width="0.25em" linebreak="nobreak"/><mml:mi>a</mml:mi><mml:mo>]</mml:mo><mml:mo>/</mml:mo><mml:msub><mml:mi>c</mml:mi><mml:mi mathvariant="normal">p</mml:mi></mml:msub><mml:mn mathvariant="normal">660</mml:mn></mml:mrow></mml:math></inline-formula>), <bold>(D)</bold> fluorescence quantum yield (<inline-formula><mml:math id="M453" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">ϕ</mml:mi><mml:mi mathvariant="normal">Sat</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>; iron stress index), <bold>(E)</bold> macronutrient stress index (<inline-formula><mml:math id="M454" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">η</mml:mi><mml:mo>′</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula>). Entire six-month animated time series accessible in video supplements (Animation S4).</p></caption>
        
        <graphic xlink:href="https://bg.copernicus.org/articles/23/2687/2026/bg-23-2687-2026-f20.jpg"/>

      </fig>

<fig id="FB8"><label>Figure B8</label><caption><p id="d2e10366">Violin plots of continuous underway data related to phytoplankton concentration and physiology located in the background ocean, advected IME, and coastal IME zones. The four columns represent data measured around the four case studies, while the rows correspond to different phytoplankton community composition parameters: <inline-formula><mml:math id="M455" display="inline"><mml:mrow><mml:mo>[</mml:mo><mml:mi>C</mml:mi><mml:mi>h</mml:mi><mml:mi>l</mml:mi><mml:mspace width="0.25em" linebreak="nobreak"/><mml:mtext mathvariant="italic">a</mml:mtext><mml:mo>]</mml:mo></mml:mrow></mml:math></inline-formula> (Chlorophyll <italic>a</italic> concentration), <inline-formula><mml:math id="M456" display="inline"><mml:mrow><mml:msub><mml:mi>c</mml:mi><mml:mrow><mml:mi mathvariant="normal">p</mml:mi><mml:mn mathvariant="normal">660</mml:mn></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula> (particulate beam attenuation at 660 nm), <inline-formula><mml:math id="M457" display="inline"><mml:mrow><mml:msub><mml:mi>C</mml:mi><mml:mi mathvariant="normal">phyto</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> (phytoplankton carbon), SST (sea surface temperature), SSS (sea surface salinity), <inline-formula><mml:math id="M458" display="inline"><mml:mrow><mml:mo>[</mml:mo><mml:mi mathvariant="normal">PPC</mml:mi><mml:mo>]</mml:mo><mml:mo>/</mml:mo><mml:mo>[</mml:mo><mml:mi mathvariant="normal">Chl</mml:mi><mml:mspace width="0.25em" linebreak="nobreak"/><mml:mi>a</mml:mi><mml:mo>]</mml:mo></mml:mrow></mml:math></inline-formula> (photoprotective carotenoids normalized by [Chl <italic>a</italic>]; indicative of light acclimation), <inline-formula><mml:math id="M459" display="inline"><mml:mrow><mml:mo>[</mml:mo><mml:mi mathvariant="normal">Chl</mml:mi><mml:mspace linebreak="nobreak" width="0.25em"/><mml:mi>a</mml:mi><mml:mo>]</mml:mo><mml:mo>/</mml:mo><mml:msub><mml:mi>c</mml:mi><mml:mrow><mml:mi mathvariant="normal">p</mml:mi><mml:mn mathvariant="normal">660</mml:mn></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula> (proxy of chlorophyll to carbon ratio, indicative of light acclimation), <inline-formula><mml:math id="M460" display="inline"><mml:mrow><mml:mo>[</mml:mo><mml:mi mathvariant="normal">Chl</mml:mi><mml:mspace width="0.25em" linebreak="nobreak"/><mml:mi>a</mml:mi><mml:mo>]</mml:mo><mml:mo>/</mml:mo><mml:msub><mml:mi>C</mml:mi><mml:mi mathvariant="normal">phyto</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> (proxy of chlorophyll to carbon ratio, indicative of light acclimation). The asterisks represent the pairwise significant differences between the studied parameters in IME categories (* <inline-formula><mml:math id="M461" display="inline"><mml:mrow><mml:mo>=</mml:mo><mml:mi>p</mml:mi><mml:mo>&lt;</mml:mo><mml:mn mathvariant="normal">0.05</mml:mn></mml:mrow></mml:math></inline-formula>, ** <inline-formula><mml:math id="M462" display="inline"><mml:mrow><mml:mo>=</mml:mo><mml:mn mathvariant="normal">0.05</mml:mn><mml:mo>⩽</mml:mo><mml:mi>p</mml:mi><mml:mo>&lt;</mml:mo><mml:mn mathvariant="normal">0.01</mml:mn></mml:mrow></mml:math></inline-formula>, *** <inline-formula><mml:math id="M463" display="inline"><mml:mrow><mml:mo>=</mml:mo><mml:mn mathvariant="normal">0.01</mml:mn><mml:mo>⩽</mml:mo><mml:mi>p</mml:mi><mml:mo>&lt;</mml:mo><mml:mn mathvariant="normal">0.001</mml:mn></mml:mrow></mml:math></inline-formula>).</p></caption>
        
        <graphic xlink:href="https://bg.copernicus.org/articles/23/2687/2026/bg-23-2687-2026-f21.png"/>

      </fig>


</app>

<app id="App1.Ch1.S3">
  <label>Appendix C</label><title>Macronutrient and iron concentration</title>

      <fig id="FC1"><label>Figure C1</label><caption><p id="d2e10560">Macronutrient and iron concentrations at sampling stations located in the background ocean, advected IME, and coastal IME zones. The four columns represent data measured around the four case studies, while the rows correspond to different nutrient and trace metal parameters: TFe (total iron), PO<sub>4</sub> (dissolved phosphates), <inline-formula><mml:math id="M465" display="inline"><mml:mrow><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow><mml:mo>+</mml:mo><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:mrow></mml:math></inline-formula> (dissolved nitrites and nitrate), and <inline-formula><mml:math id="M466" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">SiOH</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> (silicates). The error bars represent the variability (standard error) among all samples within each case study and IME category (BO, advected IME, and coastal IME). A missing error bar indicates that only one sample was available.</p></caption>
        
        <graphic xlink:href="https://bg.copernicus.org/articles/23/2687/2026/bg-23-2687-2026-f22.png"/>

      </fig>


</app>

<app id="App1.Ch1.S4">
  <label>Appendix D</label><title>Phytoplankton community composition in Rapa Nui, Society Islands, Samoa, and Fiji-Tonga' IMEs</title>

      <fig id="FD1"><label>Figure D1</label><caption><p id="d2e10623">Violin plots of continuous underway data related to phytoplankton community composition located in the background ocean, advected IME, and coastal IME zones. The four columns represent data measured around the four case studies, while the rows correspond to different phytoplankton community composition parameters: <inline-formula><mml:math id="M467" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">γ</mml:mi><mml:mrow><mml:msub><mml:mi>c</mml:mi><mml:mi mathvariant="normal">p</mml:mi></mml:msub></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula> (mean particle size index), <inline-formula><mml:math id="M468" display="inline"><mml:mrow><mml:mo>[</mml:mo><mml:mi mathvariant="normal">Chl</mml:mi><mml:mspace width="0.25em" linebreak="nobreak"/><mml:mi>c</mml:mi><mml:mo>]</mml:mo><mml:mo>/</mml:mo><mml:mo>[</mml:mo><mml:mi mathvariant="normal">Chl</mml:mi><mml:mspace linebreak="nobreak" width="0.25em"/><mml:mi>a</mml:mi><mml:mo>]</mml:mo></mml:mrow></mml:math></inline-formula> (Chlorophyll <italic>c</italic> normalized by [Chl <italic>a</italic>]; indicative of diatoms and other red algae), <inline-formula><mml:math id="M469" display="inline"><mml:mrow><mml:mo>[</mml:mo><mml:mi mathvariant="normal">Chl</mml:mi><mml:mspace linebreak="nobreak" width="0.25em"/><mml:mi>b</mml:mi><mml:mo>]</mml:mo><mml:mo>/</mml:mo><mml:mo>[</mml:mo><mml:mi mathvariant="normal">Chl</mml:mi><mml:mspace linebreak="nobreak" width="0.25em"/><mml:mi>a</mml:mi><mml:mo>]</mml:mo></mml:mrow></mml:math></inline-formula> (Chlorophyll <italic>b</italic> normalized by [Chl <italic>a</italic>]; indicative of green algae), <inline-formula><mml:math id="M470" display="inline"><mml:mrow><mml:mo>[</mml:mo><mml:mi mathvariant="normal">PSC</mml:mi><mml:mo>]</mml:mo><mml:mo>/</mml:mo><mml:mo>[</mml:mo><mml:mi mathvariant="normal">Chl</mml:mi><mml:mspace width="0.25em" linebreak="nobreak"/><mml:mi>a</mml:mi><mml:mo>]</mml:mo></mml:mrow></mml:math></inline-formula> (photosynthetic carotenoids normalized by [Chl <italic>a</italic>]; indicative of diatoms), and <inline-formula><mml:math id="M471" display="inline"><mml:mrow><mml:msub><mml:mi>a</mml:mi><mml:mi mathvariant="normal">gauss</mml:mi></mml:msub><mml:mn mathvariant="normal">550</mml:mn><mml:mo>/</mml:mo><mml:msub><mml:mi>a</mml:mi><mml:mi mathvariant="normal">gauss</mml:mi></mml:msub><mml:mn mathvariant="normal">676</mml:mn></mml:mrow></mml:math></inline-formula> (Phycoerythrin particulate gaussian absorption at 550 nm normalized by [Chl <italic>a</italic>] particulate gaussian absorption at 676 nm; indicative of cyanobacteria).The asterisks represent the pairwise significant differences between the studied parameters in IME categories (* <inline-formula><mml:math id="M472" display="inline"><mml:mrow><mml:mo>=</mml:mo><mml:mi>p</mml:mi><mml:mo>&lt;</mml:mo><mml:mn mathvariant="normal">0.05</mml:mn></mml:mrow></mml:math></inline-formula>, ** <inline-formula><mml:math id="M473" display="inline"><mml:mrow><mml:mo>=</mml:mo><mml:mn mathvariant="normal">0.05</mml:mn><mml:mo>⩽</mml:mo><mml:mi>p</mml:mi><mml:mo>&lt;</mml:mo><mml:mn mathvariant="normal">0.01</mml:mn></mml:mrow></mml:math></inline-formula>, *** <inline-formula><mml:math id="M474" display="inline"><mml:mrow><mml:mo>=</mml:mo><mml:mn mathvariant="normal">0.01</mml:mn><mml:mo>⩽</mml:mo><mml:mi>p</mml:mi><mml:mo>&lt;</mml:mo><mml:mn mathvariant="normal">0.001</mml:mn></mml:mrow></mml:math></inline-formula>).</p></caption>
        
        <graphic xlink:href="https://bg.copernicus.org/articles/23/2687/2026/bg-23-2687-2026-f23.png"/>

      </fig>


</app>

<app id="App1.Ch1.S5">
  <label>Appendix E</label><title>Temporal analysis of IME around Rapa Nui, Society Islands, and Samoa</title>

      <fig id="FE1"><label>Figure E1</label><caption><p id="d2e10828">Six-month-long time series of satellite-derived IME properties of the IME zone detected around Rapa Nui. <bold>(A)</bold>, <bold>(B)</bold>, <bold>(C)</bold>, and <bold>(D)</bold> left panels: Average of properties within the IME zones, <bold>(A)</bold>, <bold>(B)</bold>, <bold>(C)</bold>, and <bold>(D)</bold> right panels: Difference between properties within the IME zones and the background ocean (BO). <bold>(A)</bold> row: chlorophyll <italic>a</italic> concentration ([Chl <italic>a</italic>]), <bold>(B)</bold> row: IME integrated chlorophyll <italic>a</italic> (<inline-formula><mml:math id="M475" display="inline"><mml:mrow><mml:mo>∑</mml:mo><mml:mo>[</mml:mo><mml:mi mathvariant="normal">Chl</mml:mi><mml:mspace width="0.25em" linebreak="nobreak"/><mml:mi>a</mml:mi><mml:msub><mml:mo>]</mml:mo><mml:mi mathvariant="normal">IME</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>), <bold>(C)</bold> row: fluorescence quantum yield (<inline-formula><mml:math id="M476" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">ϕ</mml:mi><mml:mi mathvariant="normal">Sat</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>; iron stress index), <bold>(D)</bold> row: macronutrient stress index (<inline-formula><mml:math id="M477" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">η</mml:mi><mml:mo>′</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula>), <bold>(E)</bold> left: IME zone area (in km<sup>2</sup>), <bold>(E)</bold> right: surface current velocity. The shaded areas represent the standard errors propagated following the method in Appendix <xref ref-type="sec" rid="App1.Ch1.S1.SS4"/>.</p></caption>
        
        <graphic xlink:href="https://bg.copernicus.org/articles/23/2687/2026/bg-23-2687-2026-f24.png"/>

      </fig>

<fig id="FE2"><label>Figure E2</label><caption><p id="d2e10949">Six-month-long time series of satellite-derived IME properties of the IME zone detected around the Society Islands in French Polynesia. <bold>(A)</bold>, <bold>(B)</bold>, <bold>(C)</bold>, and <bold>(D)</bold> left panels: Average of properties within the IME zones, <bold>(A)</bold>, <bold>(B)</bold>, <bold>(C)</bold>, and <bold>(D)</bold> right panels: Difference between properties within the IME zones and the background ocean (BO). <bold>(A)</bold> row: chlorophyll <italic>a</italic> concentration ([Chl <italic>a</italic>]), <bold>(B)</bold> row: IME integrated [Chl <italic>a</italic>] (<inline-formula><mml:math id="M479" display="inline"><mml:mrow><mml:mo>∑</mml:mo><mml:mo>[</mml:mo><mml:mi mathvariant="normal">Chl</mml:mi><mml:mspace linebreak="nobreak" width="0.25em"/><mml:mi>a</mml:mi><mml:msub><mml:mo>]</mml:mo><mml:mi mathvariant="normal">IME</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>), <bold>(C)</bold> row: fluorescence quantum yield (<inline-formula><mml:math id="M480" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">ϕ</mml:mi><mml:mi mathvariant="normal">Sat</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>; iron stress index), <bold>(D)</bold> row: macronutrient stress index (<inline-formula><mml:math id="M481" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">η</mml:mi><mml:mo>′</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula>), <bold>(E)</bold> left: IME zone area (in km<sup>2</sup>), <bold>(E)</bold> right: surface current velocity. The shaded areas represent the standard errors propagated following the method in Appendix <xref ref-type="sec" rid="App1.Ch1.S1.SS4"/>.</p></caption>
        
        <graphic xlink:href="https://bg.copernicus.org/articles/23/2687/2026/bg-23-2687-2026-f25.png"/>

      </fig>

<fig id="FE3"><label>Figure E3</label><caption><p id="d2e11071">Six-month-long time series of satellite-derived IME properties of the IME zone detected around Samoa (Savaii, Upolu, and Tutuila). <bold>(A)</bold>, <bold>(B)</bold>, <bold>(C)</bold>, and <bold>(D)</bold> left panels: Average of properties within the IME zones, <bold>(A)</bold>, <bold>(B)</bold>, <bold>(C)</bold>, and <bold>(D)</bold> right panels: Difference between properties within the IME zones and the background ocean (BO). <bold>(A)</bold> row: chlorophyll <italic>a</italic> concentration ([Chl <italic>a</italic>]), <bold>(B)</bold> row: IME integrated [Chl <italic>a</italic>] (<inline-formula><mml:math id="M483" display="inline"><mml:mrow><mml:mo>∑</mml:mo><mml:mo>[</mml:mo><mml:mi mathvariant="normal">Chl</mml:mi><mml:mspace width="0.25em" linebreak="nobreak"/><mml:mi>a</mml:mi><mml:msub><mml:mo>]</mml:mo><mml:mi mathvariant="normal">IME</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>), <bold>(C)</bold> row: fluorescence quantum yield (<inline-formula><mml:math id="M484" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">ϕ</mml:mi><mml:mi mathvariant="normal">Sat</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>; iron stress index), <bold>(D)</bold> row: macronutrient stress index (<inline-formula><mml:math id="M485" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">η</mml:mi><mml:mo>′</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula>), <bold>(E)</bold> left: IME zone area (in km<sup>2</sup>), <bold>(E)</bold> right: surface current velocity. The shaded areas represent the standard errors propagated following the method in Appendix <xref ref-type="sec" rid="App1.Ch1.S1.SS4"/>.</p></caption>
        
        <graphic xlink:href="https://bg.copernicus.org/articles/23/2687/2026/bg-23-2687-2026-f26.png"/>

      </fig>


</app>
  </app-group><notes notes-type="codedataavailability"><title>Code and data availability</title>

      <p id="d2e11195">HPLC data are accessible from the BCO-DMO repository <xref ref-type="bibr" rid="bib1.bibx20" id="paren.121"><named-content content-type="pre"><ext-link xlink:href="https://doi.org/10.26008/1912/bco-dmo.889930.1" ext-link-type="DOI">10.26008/1912/bco-dmo.889930.1</ext-link>,</named-content></xref>. Iron and macronutrients concentration data are accessible at <ext-link xlink:href="https://doi.org/10.5281/zenodo.6474974" ext-link-type="DOI">10.5281/zenodo.6474974</ext-link> <xref ref-type="bibr" rid="bib1.bibx21 bib1.bibx65" id="paren.122"/>. In situ underway optical data can be accessed on the <italic>Tara</italic> Pacific SeaBASS repository <xref ref-type="bibr" rid="bib1.bibx19" id="paren.123"><named-content content-type="pre"><ext-link xlink:href="https://doi.org/10.5067/SeaBASS/TARA_PACIFIC_EXPEDITION/DATA001">https://doi.org/10.5067/SeaBASS/TARA_PACIFIC_EXPEDITION /DATA001</ext-link>,</named-content></xref>. The satellite binning software package used to create custom level-3 multi-satellite products from level-2 satellite data, to remove outliers, to nudge, and propagate uncertainties is accessible at <ext-link xlink:href="https://doi.org/10.5281/zenodo.13376825" ext-link-type="DOI">10.5281/zenodo.13376825</ext-link> <xref ref-type="bibr" rid="bib1.bibx17" id="paren.124"/>. Level-3 multi-satellite composites data, downloaded current data, the dynamic IME detection algorithm software, and its main outputs for each case study, including island databases for all region and their IME and BO masks, are available at <ext-link xlink:href="https://doi.org/10.5281/zenodo.17156826" ext-link-type="DOI">10.5281/zenodo.17156826</ext-link> <xref ref-type="bibr" rid="bib1.bibx18" id="paren.125"/>.</p>
  </notes><app-group>
        <supplementary-material position="anchor"><p id="d2e11234">The supplement related to this article is available online at <inline-supplementary-material xlink:href="https://doi.org/10.5194/bg-23-2687-2026-supplement" xlink:title="zip">https://doi.org/10.5194/bg-23-2687-2026-supplement</inline-supplementary-material>.</p></supplementary-material>
        </app-group><notes notes-type="authorcontribution"><title>Author contributions</title>

      <p id="d2e11243">GG, FL, and EB designed and coordinated in situ sampling. GB collected and processed the in situ data. GB designed the satellite merging method and the dynamic IME detection method. GB and EB designed the macronutrient stress index. GB, LKB, and EB assessed the method and wrote the original draft. All authors have read and reviewed the manuscript.</p>
  </notes><notes notes-type="competinginterests"><title>Competing interests</title>

      <p id="d2e11249">The contact author has declared that none of the authors has any competing interests.</p>
  </notes><notes notes-type="disclaimer"><title>Disclaimer</title>

      <p id="d2e11255">Publisher's note: Copernicus Publications remains neutral with regard to jurisdictional claims made in the text, published maps, institutional affiliations, or any other geographical representation in this paper. The authors bear the ultimate responsibility for providing appropriate place names. Views expressed in the text are those of the authors and do not necessarily reflect the views of the publisher.</p>
  </notes><ack><title>Acknowledgements</title><p id="d2e11261">Special thanks to the <italic>Tara</italic> Ocean Foundation, the R/V <italic>Tara</italic> crew, and the <italic>Tara</italic> Pacific Expedition Participants <xref ref-type="bibr" rid="bib1.bibx91" id="paren.126"/>. We are keen to thank the commitment of the following institutions for the financial and scientific support that made this unique <italic>Tara</italic> Pacific Expedition possible: CNRS, PSL, CSM, EPHE, Genoscope, CEA, Inserm, Université Côte d'Azur, ANR, agnès b., UNESCO-IOC, the Veolia Foundation, the Prince Albert II de Monaco Foundation, Région Bretagne, Billerudkorsnas, AmerisourceBergen Company, Lorient Agglomération, Oceans by Disney, L'Oréal, Biotherm, France Collectivités, Fonds Français pour l'Environnement Mondial (FFEM), Etienne Bourgois, and the <italic>Tara</italic> Ocean Foundation teams. <italic>Tara</italic> Pacific would not exist without the continuous support of the participating institutes. The authors also particularly thank Serge Planes, Denis Allemand, and the <italic>Tara</italic> Pacific consortium. We gratefully acknowledge Michael Behrenfeld for his insightful discussions on phytoplankton physiology and adaptation to nutrient availability. We particularly thank Seth G. John, Natalie R. Cohen, and Rachel L. Kelly for the analysis of iron concentration samples, Mireille Pujo-Pay for the analysis of macronutrient samples, and Zoé Mériguet for the analysis of the automated microscopy data. This is publication number 48 of the <italic>Tara</italic> Pacific Consortium.</p></ack><notes notes-type="financialsupport"><title>Financial support</title>

      <p id="d2e11294">This research has been supported by the NASA Ocean Biology and Biogeochemistry program (grant nos. 80NSSC20K1641, NNX13AE58G, and NNX15AC08G) and the National Science Foundation (grant no. 2025402).</p>
  </notes><notes notes-type="reviewstatement"><title>Review statement</title>

      <p id="d2e11300">This paper was edited by Emilio Marañón and reviewed by three anonymous referees.</p>
  </notes><ref-list>
    <title>References</title>

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