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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-23-7505-2026</article-id><title-group><article-title>Biogeochemical controls on the concentrations and stable isotope compositions of sea-ice particulate organic matters in the Southern Ocean</article-title><alt-title>Isotope compositions of sea-ice particulate organic matters</alt-title>
      </title-group>
      <contrib-group>
        <contrib contrib-type="author" corresp="yes" rid="aff1 aff2 aff3">
          <name><surname>Takahashi</surname><given-names>Keigo D.</given-names></name>
          <email>keigo.d.takahashi@gmail.com</email>
        <ext-link>https://orcid.org/0000-0001-6021-704X</ext-link></contrib>
        <contrib contrib-type="author" corresp="no" rid="aff4 aff5 aff6">
          <name><surname>Makabe</surname><given-names>Ryosuke</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff4">
          <name><surname>Sano</surname><given-names>Masayoshi</given-names></name>
          
        <ext-link>https://orcid.org/0000-0001-7264-9528</ext-link></contrib>
        <contrib contrib-type="author" corresp="no" rid="aff7">
          <name><surname>Nakata</surname><given-names>Kazuki</given-names></name>
          
        <ext-link>https://orcid.org/0000-0002-4298-1148</ext-link></contrib>
        <contrib contrib-type="author" corresp="no" rid="aff8">
          <name><surname>Kimura</surname><given-names>Noriaki</given-names></name>
          
        <ext-link>https://orcid.org/0000-0002-1232-3638</ext-link></contrib>
        <contrib contrib-type="author" corresp="no" rid="aff1 aff9">
          <name><surname>Nomura</surname><given-names>Daiki</given-names></name>
          
        <ext-link>https://orcid.org/0000-0003-3047-4023</ext-link></contrib>
        <contrib contrib-type="author" corresp="no" rid="aff6">
          <name><surname>Yamamoto-Kawai</surname><given-names>Michiyo</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff10">
          <name><surname>Matsuda</surname><given-names>Ryo</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff6">
          <name><surname>Nojiro</surname><given-names>Natsumi</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff11">
          <name><surname>Ito</surname><given-names>Masato</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff12">
          <name><surname>Takao</surname><given-names>Shintaro</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff6">
          <name><surname>Horimoto-Miyazaki</surname><given-names>Naho</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff13">
          <name><surname>Tachibana</surname><given-names>Aiko</given-names></name>
          
        <ext-link>https://orcid.org/0000-0002-6855-6297</ext-link></contrib>
        <contrib contrib-type="author" corresp="no" rid="aff10">
          <name><surname>Kurosawa</surname><given-names>Norio</given-names></name>
          
        <ext-link>https://orcid.org/0000-0001-5095-2104</ext-link></contrib>
        <contrib contrib-type="author" corresp="no" rid="aff4 aff5">
          <name><surname>Tamura</surname><given-names>Takeshi</given-names></name>
          
        <ext-link>https://orcid.org/0000-0001-8383-8295</ext-link></contrib>
        <contrib contrib-type="author" corresp="no" rid="aff14">
          <name><surname>Komatsu</surname><given-names>Mizuki</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff15">
          <name><surname>Ohshima</surname><given-names>Kay I.</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff6">
          <name><surname>Mizobata</surname><given-names>Kohei</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff15">
          <name><surname>Aoki</surname><given-names>Shigeru</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff4 aff6">
          <name><surname>Moteki</surname><given-names>Masato</given-names></name>
          
        </contrib>
        <aff id="aff1"><label>1</label><institution>Faculty of Fisheries Sciences, Hokkaido University, Hakodate, 041-8611, Japan</institution>
        </aff>
        <aff id="aff2"><label>2</label><institution>Japan Society for the Promotion of Science, Chiyoda, 102-0083, Japan</institution>
        </aff>
        <aff id="aff3"><label>3</label><institution>Escuela de Ciencias del Mar, Pontificia Universidad Catolica de Valparaiso, Valparaiso, Chile</institution>
        </aff>
        <aff id="aff4"><label>4</label><institution>National Institute of Polar Research, Tachikawa, 190-8518, Japan</institution>
        </aff>
        <aff id="aff5"><label>5</label><institution>The Graduate University for Advanced Studies, SOKENDAI, Tachikawa, 190-8518, Japan</institution>
        </aff>
        <aff id="aff6"><label>6</label><institution>Tokyo University of Marine Science and Technology, Minato, 108-8477, Japan</institution>
        </aff>
        <aff id="aff7"><label>7</label><institution>Earth Observation Research Center, Japan Aerospace Exploration Agency, Tsukuba, 305-0047, Japan</institution>
        </aff>
        <aff id="aff8"><label>8</label><institution>Faculty of Education, Kochi University, Kochi, 780-8520, Japan</institution>
        </aff>
        <aff id="aff9"><label>9</label><institution>Arctic Research Center, Hokkaido University, Sapporo, 001-0021, Japan</institution>
        </aff>
        <aff id="aff10"><label>10</label><institution>Faculty of Science and Engineering, Soka University, Hachioji, 192-8577, Japan</institution>
        </aff>
        <aff id="aff11"><label>11</label><institution>Graduate School of Frontier Sciences, The University of Tokyo, Kashiwa, 277-8561, Japan</institution>
        </aff>
        <aff id="aff12"><label>12</label><institution>National Institute for Environmental Studies, Tsukuba, 305-8506, Japan</institution>
        </aff>
        <aff id="aff13"><label>13</label><institution>Japan Fisheries Research and Education Agency, Yokohama, 236-8648, Japan</institution>
        </aff>
        <aff id="aff14"><label>14</label><institution>Japan Agency for Marine-Earth Science and Technology, Yokohama, 236-0001, Japan</institution>
        </aff>
        <aff id="aff15"><label>15</label><institution>Institute of Low Temperature Science, Hokkaido University, Sapporo, 060-0819, Japan</institution>
        </aff>
      </contrib-group>
      <author-notes><corresp id="corr1">Keigo D. Takahashi (keigo.d.takahashi@gmail.com)</corresp></author-notes><pub-date><day>26</day><month>October</month><year>2026</year></pub-date>
      
      <volume>23</volume>
      <issue>20</issue>
      <fpage>7505</fpage><lpage>7522</lpage>
      <history>
        <date date-type="received"><day>8</day><month>May</month><year>2026</year></date>
           <date date-type="rev-request"><day>20</day><month>May</month><year>2026</year></date>
           <date date-type="rev-recd"><day>20</day><month>September</month><year>2026</year></date>
           <date date-type="accepted"><day>26</day><month>September</month><year>2026</year></date>
      </history>
      <permissions>
        <copyright-statement>Copyright: © 2026 Keigo D. Takahashi 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/23/7505/2026/bg-23-7505-2026.html">This article is available from https://bg.copernicus.org/articles/23/7505/2026/bg-23-7505-2026.html</self-uri><self-uri xlink:href="https://bg.copernicus.org/articles/23/7505/2026/bg-23-7505-2026.pdf">The full text article is available as a PDF file from https://bg.copernicus.org/articles/23/7505/2026/bg-23-7505-2026.pdf</self-uri>
      <abstract><title>Abstract</title>

      <p id="d2e357">The primary production and zooplankton life cycles in the Southern Ocean synchronize with seasonal sea ice melting, during which particulate organic carbon (POC) and nitrogen (PN), including ice algae, are supplied from sea ice into the water column. To understand carbon flow through food webs in productive marginal ice zones, it is necessary to determine the quantity and quality of organic carbon and nitrogen in sea ice. However, knowledge regarding brash sea ice is scarce, even though it is the predominant form at the Antarctic ice edge. In this study, 102 sea-ice samples were collected from the Indian sector (20–160° E) during summer to clarify variations in isotopic baselines and the potential contribution of sea ice-derived carbon and nitrogen to the water column. The <inline-formula><mml:math id="M1" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">13</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M2" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">15</mml:mn></mml:msup><mml:mi mathvariant="normal">N</mml:mi></mml:mrow></mml:math></inline-formula> values of all sea-ice particulate matter samples were <inline-formula><mml:math id="M3" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">24.6</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">3.2</mml:mn></mml:mrow></mml:math></inline-formula> ‰ and <inline-formula><mml:math id="M4" display="inline"><mml:mrow><mml:mo>+</mml:mo><mml:mn mathvariant="normal">1.5</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">2.2</mml:mn></mml:mrow></mml:math></inline-formula> ‰ (mean <inline-formula><mml:math id="M5" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> standard deviation), respectively, showing greater variability compared to those in seawater (<inline-formula><mml:math id="M6" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">28.8</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">1.0</mml:mn></mml:mrow></mml:math></inline-formula> ‰ for <inline-formula><mml:math id="M7" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">13</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M8" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">0.5</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">1.4</mml:mn></mml:mrow></mml:math></inline-formula> ‰ for <inline-formula><mml:math id="M9" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">15</mml:mn></mml:msup><mml:mi mathvariant="normal">N</mml:mi></mml:mrow></mml:math></inline-formula>). We identified correlations of <inline-formula><mml:math id="M10" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">13</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M11" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">15</mml:mn></mml:msup><mml:mi mathvariant="normal">N</mml:mi></mml:mrow></mml:math></inline-formula> with organic matter and nutrient concentrations and their ratios (e.g., silicate <inline-formula><mml:math id="M12" display="inline"><mml:mo>:</mml:mo></mml:math></inline-formula> nitrate), suggesting that nutrient consumption and organic matter decomposition influenced those isotopic characteristics in sea ice. Using freshwater flux from sea ice melt and the measured sea-ice POC concentrations, the POC supply was estimated to be <inline-formula><mml:math id="M13" display="inline"><mml:mrow><mml:mn mathvariant="normal">4.1</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.3</mml:mn></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M14" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">Tg</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mi mathvariant="normal">C</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">yr</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>, equivalent to <inline-formula><mml:math id="M15" display="inline"><mml:mrow><mml:mn mathvariant="normal">14.7</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">2.8</mml:mn></mml:mrow></mml:math></inline-formula> % of primary production in the marginal ice zone of the studied region. This result suggests that sea ice melt provides significant portion of organic matters potentially supporting Antarctic ecosystems in the seasonal sea ice zone, which could be traced by difference of sea-ice and seawater stable isotope compositions.</p>
  </abstract>
    
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<funding-source>Japan Society for the Promotion of Science</funding-source>
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<award-id>21J14914</award-id>
<award-id>24K17997</award-id>
<award-id>20H04313</award-id>
<award-id>22H05003</award-id>
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<funding-source>Japan Science and Technology Agency</funding-source>
<award-id>JPMJCR23J5</award-id>
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<award-group id="gs3">
<funding-source>National Institute of Polar Research</funding-source>
<award-id>KP-308</award-id>
<award-id>AP-0923</award-id>
<award-id>AP-0939</award-id>
<award-id>AJ-0902</award-id>
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<funding-source>University of Tokyo</funding-source>
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<award-id>JURCAOSKAV22-50</award-id>
<award-id>JURCAOSKAV23-48</award-id>
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<funding-source>Hokkaido University</funding-source>
<award-id>22S012</award-id>
<award-id>23S017</award-id>
<award-id>24S015</award-id>
<award-id>25S010</award-id>
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</article-meta>
  </front>
<body>
      

<sec id="Ch1.S1" sec-type="intro">
  <label>1</label><title>Introduction</title>
      <p id="d2e563">The Southern Ocean is known as a carbon sink, absorbing 43 % of the anthropogenic carbon dioxide from the atmosphere (Frölicher et al., 2015). This carbon uptake is chiefly driven by the atmospheric-oceanic imbalance resulting from phytoplankton photosynthesis and the drawdown of dissolved inorganic carbon. In the Southern Ocean, approximately 90 % of the organic matter produced by phytoplankton is consumed by herbivorous zooplankton, whereas only 10 % settles as phytodetritus (Moreau et al., 2020). Because organic matter leads to long-term carbon sequestration by sinking below the winter thermocline as aggregates or zooplankton fecal pellets, understanding ecosystem structures, such as predator-prey relationships and trophic levels, is essential for understanding carbon flow.</p>
      <p id="d2e566">In the Southern Ocean, the vast seasonal sea ice zone (SIZ) plays a crucial role in controlling the primary production and carbon export to the depth (Ardyna et al., 2017; Zúñiga et al., 2021). Ice-edge phytoplankton blooms can occur during sea ice melting (Wilson et al., 1986), which accounts for more than 10 % of primary production south of 50° S (Arrigo et al., 2008). Primary consumers (such as copepods and salps), the drivers of the biological pumps and sequestering organic carbon into the deep ocean, have life cycles that rely on carbon dynamics following ice melting (Makabe et al., 2017; Tachibana et al., 2023; Sugioka et al., 2021). However, ice-edge blooms occur in only approximately 20 % of the area (Fitch and Moore, 2007) because of large variations in iron supply (Sedwick and DiTullio, 1997), water-column stratification (Wilson et al., 1986), and the released ice algae, which serve as a seeding population (Garrison et al., 1987; van Leeuwe et al., 2022). Despite the significant heterogeneity in phytoplankton biomass (chlorophyll <inline-formula><mml:math id="M16" display="inline"><mml:mi>a</mml:mi></mml:math></inline-formula> [Chl <inline-formula><mml:math id="M17" display="inline"><mml:mi>a</mml:mi></mml:math></inline-formula>] concentration), zooplankton distribute more ubiquitously (Takahashi et al., 2011). Reviews by Dalman et al. (2025) summarized high particulate organic carbon (POC) concentrations (<inline-formula><mml:math id="M18" display="inline"><mml:mrow><mml:mo>&gt;</mml:mo><mml:mn mathvariant="normal">1000</mml:mn></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M19" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi><mml:mi mathvariant="normal">g</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">L</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>) and POC <inline-formula><mml:math id="M20" display="inline"><mml:mo>:</mml:mo></mml:math></inline-formula> Chl <inline-formula><mml:math id="M21" display="inline"><mml:mi>a</mml:mi></mml:math></inline-formula> ratios (<inline-formula><mml:math id="M22" display="inline"><mml:mrow><mml:mo>&gt;</mml:mo><mml:mn mathvariant="normal">1000</mml:mn></mml:mrow></mml:math></inline-formula>) in the upper summer sea-ice cores. Hence, particulate organic matter (POM) from sea ice is hypothesized to sustain these primary consumers and the knowledge on its quantity and quality could contributes to our understanding of the carbon cycle in the Southern Ocean.</p>
      <p id="d2e637">In addition to POC and particulate nitrogen (PN) concentrations, insights into the quality of POM in sea ice, specifically its stable isotope ratios, are crucial for understanding ecosystem structure. The <inline-formula><mml:math id="M23" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">13</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula> values of POM are used to estimate prey resources, while <inline-formula><mml:math id="M24" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">15</mml:mn></mml:msup><mml:mi mathvariant="normal">N</mml:mi></mml:mrow></mml:math></inline-formula> is used to estimate trophic levels. The position of each zooplankton within the food web and its prey resources were estimated (Schmidt et al., 2003; Liu and Zhou, 2025). Sea-ice <inline-formula><mml:math id="M25" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">15</mml:mn></mml:msup><mml:mi mathvariant="normal">N</mml:mi></mml:mrow></mml:math></inline-formula> varies significantly, with values ranging from <inline-formula><mml:math id="M26" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">4.9</mml:mn></mml:mrow></mml:math></inline-formula> ‰ to <inline-formula><mml:math id="M27" display="inline"><mml:mrow><mml:mo>+</mml:mo><mml:mn mathvariant="normal">6.0</mml:mn></mml:mrow></mml:math></inline-formula> ‰ used as the baseline for ice algae (Mincks et al., 2008; Jia et al., 2016). However, the maximum values reported is <inline-formula><mml:math id="M28" display="inline"><mml:mrow><mml:mo>+</mml:mo><mml:mn mathvariant="normal">41</mml:mn></mml:mrow></mml:math></inline-formula> ‰ (Rau et al., 1991). As Wada et al. (1987) determined the zooplankton trophic level as <inline-formula><mml:math id="M29" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">15</mml:mn></mml:msup><mml:mi mathvariant="normal">N</mml:mi></mml:mrow></mml:math></inline-formula><inline-formula><mml:math id="M30" display="inline"><mml:mrow><mml:msub><mml:mi/><mml:mi mathvariant="normal">Zooplankton</mml:mi></mml:msub><mml:mo>=</mml:mo><mml:mn mathvariant="normal">3.3</mml:mn></mml:mrow></mml:math></inline-formula> (Trophic level <inline-formula><mml:math id="M31" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:math></inline-formula>) <inline-formula><mml:math id="M32" display="inline"><mml:mo>+</mml:mo></mml:math></inline-formula> <inline-formula><mml:math id="M33" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">15</mml:mn></mml:msup><mml:mi mathvariant="normal">N</mml:mi></mml:mrow></mml:math></inline-formula><sub>Baseline</sub>, variability in <inline-formula><mml:math id="M35" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">15</mml:mn></mml:msup><mml:mi mathvariant="normal">N</mml:mi></mml:mrow></mml:math></inline-formula><sub>Baseline</sub> (algae) values could significantly affect estimates of food web structures. Similarly, <inline-formula><mml:math id="M37" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">13</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula> ranges from <inline-formula><mml:math id="M38" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">28</mml:mn></mml:mrow></mml:math></inline-formula> ‰ to <inline-formula><mml:math id="M39" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>10 ‰ in sea ice (Munro et al., 2010; Wing et al., 2018), which has greater variability than the <inline-formula><mml:math id="M40" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">13</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula> of POM in seawater within the SIZ (approximately <inline-formula><mml:math id="M41" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">30</mml:mn></mml:mrow></mml:math></inline-formula> ‰ to <inline-formula><mml:math id="M42" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">28</mml:mn></mml:mrow></mml:math></inline-formula> ‰, Rau et al., 1991). These studies suggest that characterization the isotope compositions of sea-ice POM will contribute to the understanding of carbon pathways in planktonic food webs of the SIZ.</p>
      <p id="d2e860">The ranges of previously reported <inline-formula><mml:math id="M43" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">13</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M44" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">15</mml:mn></mml:msup><mml:mi mathvariant="normal">N</mml:mi></mml:mrow></mml:math></inline-formula> values of sea-ice POM are extremely wide, yet the factors driving these variations are not fully understood. In aquatic systems, <inline-formula><mml:math id="M45" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">13</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M46" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">15</mml:mn></mml:msup><mml:mi mathvariant="normal">N</mml:mi></mml:mrow></mml:math></inline-formula> change depending on isotopic fractionation by photosynthetic organisms, the types of assimilated nutrients (e.g., nitrate and ammonium), the isotope composition of dissolved inorganic carbon in the environment, and differences in fractionation factors among taxonomic groups (Casciotti et al., 2003; Casciotti, 2009; Henley et al., 2012). Because the isotope ratios of POM in the ocean often accord with the environmental conditions (e.g., dissolved CO<sub>2</sub> concentration), it is possible to reconstruct the past surface <inline-formula><mml:math id="M48" display="inline"><mml:mi>p</mml:mi></mml:math></inline-formula>CO<sub>2</sub> (Bentaleb et al., 1998; Lourey et al., 2004) and nitrate concentrations (Francois et al., 1992) by using the isotope ratios in sediments. In sea ice, however, although the carbon isotope fractionation coefficient of ice algae is lower than that of open-ocean phytoplankton (Munro et al., 2010), the <inline-formula><mml:math id="M50" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">13</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula> of POC is generally higher and wider due to a decrease in CO<sub>2</sub> concentration in the brine by active photosynthesis of ice algae (Kennedy et al., 2002). Similarly, the <inline-formula><mml:math id="M52" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">15</mml:mn></mml:msup><mml:mi mathvariant="normal">N</mml:mi></mml:mrow></mml:math></inline-formula> of PN in sea ice is higher than that in seawater (Rau et al., 1991), which is thought to be due to POM decomposition, the recycling of nitrogen nutrients, and the consumption of NH<inline-formula><mml:math id="M53" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">4</mml:mn><mml:mo>+</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula>. Recently by using isotope ratio of nitrogen, 70 % of the consumed nitrogen was estimated to be from the regenerated nitrate in Antarctic sea ice (Fripiat et al., 2014). These studies indicate that the <inline-formula><mml:math id="M54" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">13</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M55" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">15</mml:mn></mml:msup><mml:mi mathvariant="normal">N</mml:mi></mml:mrow></mml:math></inline-formula> of POM are closely related to ice-algal production, nutrient consumption, and recycling, suggesting that they can help us understand material cycling processes within sea ice which are difficult to observe directly.</p>
      <p id="d2e1016">To date, much of the POM data have been obtained from sea-ice core samples collected during spring, when fast ice and pack ice floes are thick enough to conduct ice coring and observations safely on ice. Consequently, knowledge of POM concentrations and their isotope ratios in more melted sea ice (such as brash ice) or at lower latitudes (offshore) remains limited to certain areas, such as off Cape Darnley (Takahashi et al., 2023). Brash sea ice is fragmented and melted into smaller pieces (generally <inline-formula><mml:math id="M56" display="inline"><mml:mrow><mml:mo>&lt;</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:math></inline-formula> m), possessing distinct biogeochemical compositions and physical properties compared to ice floes (Takahashi et al., 2022; Nomura et al., 2023). Furthermore, because of their high surface-area-to-volume ratio, they are thought to melt rapidly from spring to summer, influencing dissolved and particulate biogeochemical components in the ocean surface layer (Takahashi et al., 2022; Nomura et al., 2023; Akino et al., 2024). For example, organisms within broken ice receive higher irradiance than intact floes. Moreover, a high brine volume fraction (Nomura et al., 2023) and surface area-to-volume ratio are thought to enable gas exchange (e.g., carbon dioxide) between brash ice and the atmosphere. Considering that light intensity and dissolved inorganic carbon concentration influence the POC isotope composition of diatoms (Thompson and Calvert, 1994; Kennedy et al., 2002), such environments may yield <inline-formula><mml:math id="M57" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">13</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula> values distinct from those reported from ice floes in previous studies.</p>

      <fig id="F1" specific-use="star"><label>Figure 1</label><caption><p id="d2e1044">Study area of the Indian sector of the Southern Ocean <bold>(a)</bold> and the sampling stations of sea ice in each region <bold>(b–e)</bold>. CD: off the Cape Darnley <bold>(b)</bold>, SC: Sabrina Coast <bold>(c)</bold>, LB: Lützow-Holm Bay, VB <bold>(d)</bold>: offshore region around the Vincennes Bay <bold>(e)</bold>: seawater sampling sites around 110° E conducted during the cruise UM18-08 <bold>(f)</bold>. Circles and triangles indicate sampling sites of sea ice and surface seawater, respectively.</p></caption>
        <graphic xlink:href="https://bg.copernicus.org/articles/23/7505/2026/bg-23-7505-2026-f01.png"/>

      </fig>

      <p id="d2e1075">We collected sea ice from various locations in the Indian sector of the Southern Ocean (20–160° E) from January 2016 to early March 2020. The objectives of this study were to determine the quantity and quality of POM within drift ice in the region and to clarify the factors influencing the CN isotopic characteristics by analyzing other parameters, such as Chl <inline-formula><mml:math id="M58" display="inline"><mml:mi>a</mml:mi></mml:math></inline-formula> and nutrient concentrations. Furthermore, we discuss the potential of sea ice melt as a carbon source during the summer. The contribution of algae-derived carbon was estimated using the algal carbon and Chl <inline-formula><mml:math id="M59" display="inline"><mml:mi>a</mml:mi></mml:math></inline-formula> ratios reported in prior microscopic observations of sea ice.</p>
</sec>
<sec id="Ch1.S2">
  <label>2</label><title>Materials and methods</title>
<sec id="Ch1.S2.SS1">
  <label>2.1</label><title>Sea ice and seawater sampling</title>
      <p id="d2e1107">Sea ice samples were collected from 24 stations during nine voyages conducted between January 2016 and March 2020 (Fig. 1; Table 1). The collected sea ice was brash ice (drift ice <inline-formula><mml:math id="M60" display="inline"><mml:mrow><mml:mo>&lt;</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:math></inline-formula> m in diameter) originating from first-year ice/older ice (FYI/OI) and newly formed ice (pancake ice and nilas). On the training vessel <italic>Umitaka-maru</italic> (Tokyo University of Marine Science and Technology, UM15-08, UM16-08, UM18-08, UM19-08), drift ice was scooped up by the crane using a plankton net frame covered with cloth (Takahashi et al., 2022). On the icebreaker <italic>Shirase</italic> (JARE57, JARE61) and the research vessel <italic>Hakuho-maru</italic> (KH19-01, KH20-1), samples were collected manually and randomly using steel baskets and fishing nets (Takahashi et al., 2023, 2025), respectively. For UM18-08, UM19-09, JARE61, and KH19-01 sea-ice salinity, nutrients and Chl <inline-formula><mml:math id="M61" display="inline"><mml:mi>a</mml:mi></mml:math></inline-formula> concentration of some samples are published in the previous studies (Takahashi et al., 2022, 2023, 2025; Nomura et al., 2023). Along with these datasets, we compiled unpublished data (e.g., POC, PN, and stable isotope ratios etc.) and archived in the Arctic and Antarctic Data Archive System (ADS). The collected sea ice was immediately packed into polyethylene bags and stored in the dark at <inline-formula><mml:math id="M62" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">20</mml:mn></mml:mrow></mml:math></inline-formula> °C (Miller et al., 2015) until analysis for not longer than 12 months. Seawater was sampled almost twice daily in January 2019 (UM18-08 cruise) using a continuous underway pump (5 m depth) aboard <italic>Umitaka-maru</italic>. For POC/PN concentrations and <inline-formula><mml:math id="M63" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">13</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M64" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">15</mml:mn></mml:msup><mml:mi mathvariant="normal">N</mml:mi></mml:mrow></mml:math></inline-formula>, a total of 1.0 to 2.3 L of seawater was filtered through the pre-combusted Whatman GF/F filters (450 °C, 4 h). The filters were packed into cryovials and transported to the laboratory in liquid nitrogen.</p>

<table-wrap id="T1" specific-use="star"><label>Table 1</label><caption><p id="d2e1179">Sampling date and physical and biological properties of sea ice at each station. The en dash (–) indicates no data. Means and standard deviations are shown, except for stations where only two sea-ice samples were collected. The DSF indicate the number of days elapsed since sea ice formation, which was estimated using remote sensing. Newly formed ice stations and stations with no valid ice data (e.g., low sea ice concentration) were excluded from the DSF analysis. LB: Lützow-Holm Bay; CD: Cape Darnley; VB: Vincennes Bay; SC: Sabrina Coast.</p></caption><oasis:table frame="topbot"><oasis:tgroup cols="11">
     <oasis:colspec colnum="1" colname="col1" align="left"/>
     <oasis:colspec colnum="2" colname="col2" align="left"/>
     <oasis:colspec colnum="3" colname="col3" align="left"/>
     <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:colspec colnum="8" colname="col8" align="right"/>
     <oasis:colspec colnum="9" colname="col9" align="right"/>
     <oasis:colspec colnum="10" colname="col10" align="right"/>
     <oasis:colspec colnum="11" colname="col11" align="right"/>
     <oasis:thead>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1">Region</oasis:entry>
         <oasis:entry colname="col2">Station</oasis:entry>
         <oasis:entry colname="col3">Date</oasis:entry>
         <oasis:entry colname="col4">Salinity</oasis:entry>
         <oasis:entry colname="col5">Chl <inline-formula><mml:math id="M66" display="inline"><mml:mi>a</mml:mi></mml:math></inline-formula> (<inline-formula><mml:math id="M67" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi><mml:mi mathvariant="normal">g</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">L</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>)</oasis:entry>
         <oasis:entry colname="col6">POC (<inline-formula><mml:math id="M68" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi><mml:mi mathvariant="normal">g</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">L</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>)</oasis:entry>
         <oasis:entry colname="col7">PN (<inline-formula><mml:math id="M69" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi><mml:mi mathvariant="normal">g</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">L</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>)</oasis:entry>
         <oasis:entry colname="col8"><inline-formula><mml:math id="M70" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">13</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>C (‰)</oasis:entry>
         <oasis:entry colname="col9"><inline-formula><mml:math id="M71" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">15</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>N (‰)</oasis:entry>
         <oasis:entry colname="col10">DSF (days)</oasis:entry>
         <oasis:entry colname="col11"><inline-formula><mml:math id="M72" display="inline"><mml:mi>n</mml:mi></mml:math></inline-formula></oasis:entry>
       </oasis:row>
     </oasis:thead>
     <oasis:tbody>
       <oasis:row>
         <oasis:entry colname="col1">LB</oasis:entry>
         <oasis:entry colname="col2">B</oasis:entry>
         <oasis:entry colname="col3">29 Jan 2020</oasis:entry>
         <oasis:entry colname="col4">2.1</oasis:entry>
         <oasis:entry colname="col5">0.8</oasis:entry>
         <oasis:entry colname="col6">594.9</oasis:entry>
         <oasis:entry colname="col7">34.6</oasis:entry>
         <oasis:entry colname="col8"><inline-formula><mml:math id="M73" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">24.6</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col9"><inline-formula><mml:math id="M74" display="inline"><mml:mrow><mml:mo>+</mml:mo><mml:mn mathvariant="normal">0.1</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col10">561</oasis:entry>
         <oasis:entry colname="col11">2</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">LB</oasis:entry>
         <oasis:entry colname="col2">C</oasis:entry>
         <oasis:entry colname="col3">31 Jan 2020</oasis:entry>
         <oasis:entry colname="col4"><inline-formula><mml:math id="M75" display="inline"><mml:mrow><mml:mn mathvariant="normal">7.3</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">3.0</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col5"><inline-formula><mml:math id="M76" display="inline"><mml:mrow><mml:mn mathvariant="normal">43.1</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">30.2</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col6"><inline-formula><mml:math id="M77" display="inline"><mml:mrow><mml:mn mathvariant="normal">1795.2</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">582.7</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col7"><inline-formula><mml:math id="M78" display="inline"><mml:mrow><mml:mn mathvariant="normal">188.2</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">71.1</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col8"><inline-formula><mml:math id="M79" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">21.1</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.6</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col9"><inline-formula><mml:math id="M80" display="inline"><mml:mrow><mml:mo>+</mml:mo><mml:mn mathvariant="normal">0.6</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">1.0</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col10">299</oasis:entry>
         <oasis:entry colname="col11">3</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">LB</oasis:entry>
         <oasis:entry colname="col2">D</oasis:entry>
         <oasis:entry colname="col3">2 Feb 2020</oasis:entry>
         <oasis:entry colname="col4"><inline-formula><mml:math id="M81" display="inline"><mml:mrow><mml:mn mathvariant="normal">6.1</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">3.4</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col5"><inline-formula><mml:math id="M82" display="inline"><mml:mrow><mml:mn mathvariant="normal">11.1</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">3.8</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col6"><inline-formula><mml:math id="M83" display="inline"><mml:mrow><mml:mn mathvariant="normal">2726.8</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">1331.6</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col7"><inline-formula><mml:math id="M84" display="inline"><mml:mrow><mml:mn mathvariant="normal">287.8</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">128.9</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col8"><inline-formula><mml:math id="M85" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">23.0</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.8</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col9"><inline-formula><mml:math id="M86" display="inline"><mml:mrow><mml:mo>+</mml:mo><mml:mn mathvariant="normal">0.2</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.5</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col10">320</oasis:entry>
         <oasis:entry colname="col11">3</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">CD</oasis:entry>
         <oasis:entry colname="col2">J57<sup>∗</sup></oasis:entry>
         <oasis:entry colname="col3">6 Mar 2016</oasis:entry>
         <oasis:entry colname="col4">14.5</oasis:entry>
         <oasis:entry colname="col5">1.9</oasis:entry>
         <oasis:entry colname="col6">534.8</oasis:entry>
         <oasis:entry colname="col7">45.0</oasis:entry>
         <oasis:entry colname="col8"><inline-formula><mml:math id="M88" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>24.7</oasis:entry>
         <oasis:entry colname="col9">–</oasis:entry>
         <oasis:entry colname="col10">–</oasis:entry>
         <oasis:entry colname="col11">2</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">CD</oasis:entry>
         <oasis:entry colname="col2">KH19-1</oasis:entry>
         <oasis:entry colname="col3">2 Feb 2020</oasis:entry>
         <oasis:entry colname="col4"><inline-formula><mml:math id="M89" display="inline"><mml:mrow><mml:mn mathvariant="normal">3.6</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">1.4</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col5"><inline-formula><mml:math id="M90" display="inline"><mml:mrow><mml:mn mathvariant="normal">75.7</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">66.4</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col6"><inline-formula><mml:math id="M91" display="inline"><mml:mrow><mml:mn mathvariant="normal">3017.5</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">1343.3</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col7"><inline-formula><mml:math id="M92" display="inline"><mml:mrow><mml:mn mathvariant="normal">389.2</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">226.3</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col8"><inline-formula><mml:math id="M93" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">24.2</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">1.6</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col9"><inline-formula><mml:math id="M94" display="inline"><mml:mrow><mml:mo>+</mml:mo><mml:mn mathvariant="normal">2.5</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">3.5</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col10">–</oasis:entry>
         <oasis:entry colname="col11">5</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">CD</oasis:entry>
         <oasis:entry colname="col2">KH20-1</oasis:entry>
         <oasis:entry colname="col3">3 Feb 2020</oasis:entry>
         <oasis:entry colname="col4"><inline-formula><mml:math id="M95" display="inline"><mml:mrow><mml:mn mathvariant="normal">1.0</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.6</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col5">0.1</oasis:entry>
         <oasis:entry colname="col6"><inline-formula><mml:math id="M96" display="inline"><mml:mrow><mml:mn mathvariant="normal">1219.3</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">493.5</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col7"><inline-formula><mml:math id="M97" display="inline"><mml:mrow><mml:mn mathvariant="normal">64.8</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">27.3</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col8"><inline-formula><mml:math id="M98" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">26.3</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.4</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col9"><inline-formula><mml:math id="M99" display="inline"><mml:mrow><mml:mo>+</mml:mo><mml:mn mathvariant="normal">3.4</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">1.0</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col10">308</oasis:entry>
         <oasis:entry colname="col11">3</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">CD</oasis:entry>
         <oasis:entry colname="col2">CD</oasis:entry>
         <oasis:entry colname="col3">10 Feb 2020</oasis:entry>
         <oasis:entry colname="col4"><inline-formula><mml:math id="M100" display="inline"><mml:mrow><mml:mn mathvariant="normal">6.4</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">3.0</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col5"><inline-formula><mml:math id="M101" display="inline"><mml:mrow><mml:mn mathvariant="normal">12.6</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">16.0</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col6"><inline-formula><mml:math id="M102" display="inline"><mml:mrow><mml:mn mathvariant="normal">1621.2</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">661.0</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col7"><inline-formula><mml:math id="M103" display="inline"><mml:mrow><mml:mn mathvariant="normal">155.5</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">115.2</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col8"><inline-formula><mml:math id="M104" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">26.2</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">1.7</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col9"><inline-formula><mml:math id="M105" display="inline"><mml:mrow><mml:mo>+</mml:mo><mml:mn mathvariant="normal">3.0</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">3.8</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col10">310</oasis:entry>
         <oasis:entry colname="col11">3</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">CD</oasis:entry>
         <oasis:entry colname="col2">RAS</oasis:entry>
         <oasis:entry colname="col3">9 Feb 2020</oasis:entry>
         <oasis:entry colname="col4">3.3</oasis:entry>
         <oasis:entry colname="col5">2.5</oasis:entry>
         <oasis:entry colname="col6">769.2</oasis:entry>
         <oasis:entry colname="col7">62.0</oasis:entry>
         <oasis:entry colname="col8"><inline-formula><mml:math id="M106" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">25.9</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col9"><inline-formula><mml:math id="M107" display="inline"><mml:mrow><mml:mo>+</mml:mo><mml:mn mathvariant="normal">0.6</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col10">528</oasis:entry>
         <oasis:entry colname="col11">2</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">VB</oasis:entry>
         <oasis:entry colname="col2">UM15-08</oasis:entry>
         <oasis:entry colname="col3">27 Jan 2016</oasis:entry>
         <oasis:entry colname="col4"><inline-formula><mml:math id="M108" display="inline"><mml:mrow><mml:mn mathvariant="normal">2.2</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">1.6</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col5"><inline-formula><mml:math id="M109" display="inline"><mml:mrow><mml:mn mathvariant="normal">9.5</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">19.2</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col6"><inline-formula><mml:math id="M110" display="inline"><mml:mrow><mml:mn mathvariant="normal">1784.6</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">2235.4</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col7"><inline-formula><mml:math id="M111" display="inline"><mml:mrow><mml:mn mathvariant="normal">174.4</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">256.1</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col8"><inline-formula><mml:math id="M112" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">24.5</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">2.2</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col9">–</oasis:entry>
         <oasis:entry colname="col10">558</oasis:entry>
         <oasis:entry colname="col11">9</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">VB</oasis:entry>
         <oasis:entry colname="col2">UM16-08</oasis:entry>
         <oasis:entry colname="col3">11 Jan 2017</oasis:entry>
         <oasis:entry colname="col4"><inline-formula><mml:math id="M113" display="inline"><mml:mrow><mml:mn mathvariant="normal">2.5</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.8</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col5"><inline-formula><mml:math id="M114" display="inline"><mml:mrow><mml:mn mathvariant="normal">4.2</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">4.4</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col6"><inline-formula><mml:math id="M115" display="inline"><mml:mrow><mml:mn mathvariant="normal">767.8</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">227.0</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col7"><inline-formula><mml:math id="M116" display="inline"><mml:mrow><mml:mn mathvariant="normal">69.9</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">26.8</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col8"><inline-formula><mml:math id="M117" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">24.8</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.7</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col9"><inline-formula><mml:math id="M118" display="inline"><mml:mrow><mml:mo>+</mml:mo><mml:mn mathvariant="normal">1.8</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">4.0</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col10">555</oasis:entry>
         <oasis:entry colname="col11">10</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">VB</oasis:entry>
         <oasis:entry colname="col2">UM18-08</oasis:entry>
         <oasis:entry colname="col3">16 Jan 2019</oasis:entry>
         <oasis:entry colname="col4"><inline-formula><mml:math id="M119" display="inline"><mml:mrow><mml:mn mathvariant="normal">1.9</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">1.5</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col5"><inline-formula><mml:math id="M120" display="inline"><mml:mrow><mml:mn mathvariant="normal">4.1</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">5.2</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col6"><inline-formula><mml:math id="M121" display="inline"><mml:mrow><mml:mn mathvariant="normal">671.1</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">261.0</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col7"><inline-formula><mml:math id="M122" display="inline"><mml:mrow><mml:mn mathvariant="normal">67.0</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">34.4</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col8"><inline-formula><mml:math id="M123" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">27.0</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">3.6</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col9"><inline-formula><mml:math id="M124" display="inline"><mml:mrow><mml:mo>+</mml:mo><mml:mn mathvariant="normal">0.6</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">1.1</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col10">489</oasis:entry>
         <oasis:entry colname="col11">12</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">VB</oasis:entry>
         <oasis:entry colname="col2">UM19-08</oasis:entry>
         <oasis:entry colname="col3">22 Jan 2020</oasis:entry>
         <oasis:entry colname="col4"><inline-formula><mml:math id="M125" display="inline"><mml:mrow><mml:mn mathvariant="normal">3.4</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.7</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col5"><inline-formula><mml:math id="M126" display="inline"><mml:mrow><mml:mn mathvariant="normal">28.0</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">19.4</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col6"><inline-formula><mml:math id="M127" display="inline"><mml:mrow><mml:mn mathvariant="normal">1718.9</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">680.3</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col7"><inline-formula><mml:math id="M128" display="inline"><mml:mrow><mml:mn mathvariant="normal">130.3</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">28.3</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col8"><inline-formula><mml:math id="M129" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">19.7</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">4.2</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col9"><inline-formula><mml:math id="M130" display="inline"><mml:mrow><mml:mo>+</mml:mo><mml:mn mathvariant="normal">2.8</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">1.2</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col10">330</oasis:entry>
         <oasis:entry colname="col11">10</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">VB</oasis:entry>
         <oasis:entry colname="col2">GPS</oasis:entry>
         <oasis:entry colname="col3">9 Dec 2019</oasis:entry>
         <oasis:entry colname="col4"><inline-formula><mml:math id="M131" display="inline"><mml:mrow><mml:mn mathvariant="normal">5.4</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">1.0</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col5"><inline-formula><mml:math id="M132" display="inline"><mml:mrow><mml:mn mathvariant="normal">3.1</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">3.6</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col6"><inline-formula><mml:math id="M133" display="inline"><mml:mrow><mml:mn mathvariant="normal">727.6</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">531.0</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col7"><inline-formula><mml:math id="M134" display="inline"><mml:mrow><mml:mn mathvariant="normal">56.6</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">49.5</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col8"><inline-formula><mml:math id="M135" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">26.2</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">2.0</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col9"><inline-formula><mml:math id="M136" display="inline"><mml:mrow><mml:mo>+</mml:mo><mml:mn mathvariant="normal">0.8</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">1.7</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col10">310</oasis:entry>
         <oasis:entry colname="col11">10</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">SC</oasis:entry>
         <oasis:entry colname="col2">16</oasis:entry>
         <oasis:entry colname="col3">17 Dec 2019</oasis:entry>
         <oasis:entry colname="col4"><inline-formula><mml:math id="M137" display="inline"><mml:mrow><mml:mn mathvariant="normal">9.9</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">1.3</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col5"><inline-formula><mml:math id="M138" display="inline"><mml:mrow><mml:mn mathvariant="normal">37.0</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">6.9</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col6"><inline-formula><mml:math id="M139" display="inline"><mml:mrow><mml:mn mathvariant="normal">1871.0</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">105.9</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col7"><inline-formula><mml:math id="M140" display="inline"><mml:mrow><mml:mn mathvariant="normal">214.7</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">38.3</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col8"><inline-formula><mml:math id="M141" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">22.4</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.8</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col9"><inline-formula><mml:math id="M142" display="inline"><mml:mrow><mml:mo>+</mml:mo><mml:mn mathvariant="normal">2.7</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.2</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col10">203</oasis:entry>
         <oasis:entry colname="col11">3</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">SC</oasis:entry>
         <oasis:entry colname="col2">ROV</oasis:entry>
         <oasis:entry colname="col3">12 Dec 2019</oasis:entry>
         <oasis:entry colname="col4"><inline-formula><mml:math id="M143" display="inline"><mml:mrow><mml:mn mathvariant="normal">4.8</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">1.8</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col5"><inline-formula><mml:math id="M144" display="inline"><mml:mrow><mml:mn mathvariant="normal">5.7</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">4.3</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col6"><inline-formula><mml:math id="M145" display="inline"><mml:mrow><mml:mn mathvariant="normal">476.2</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">259.7</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col7"><inline-formula><mml:math id="M146" display="inline"><mml:mrow><mml:mn mathvariant="normal">53.6</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">34.3</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col8"><inline-formula><mml:math id="M147" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">24.0</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">1.4</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col9"><inline-formula><mml:math id="M148" display="inline"><mml:mrow><mml:mo>+</mml:mo><mml:mn mathvariant="normal">2.1</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">1.0</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col10">–</oasis:entry>
         <oasis:entry colname="col11">3</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">SC</oasis:entry>
         <oasis:entry colname="col2">27</oasis:entry>
         <oasis:entry colname="col3">20 Dec 2019</oasis:entry>
         <oasis:entry colname="col4"><inline-formula><mml:math id="M149" display="inline"><mml:mrow><mml:mn mathvariant="normal">7.1</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">1.3</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col5"><inline-formula><mml:math id="M150" display="inline"><mml:mrow><mml:mn mathvariant="normal">13.1</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">7.9</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col6"><inline-formula><mml:math id="M151" display="inline"><mml:mrow><mml:mn mathvariant="normal">859.2</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">610.1</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col7"><inline-formula><mml:math id="M152" display="inline"><mml:mrow><mml:mn mathvariant="normal">79.8</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">54.4</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col8"><inline-formula><mml:math id="M153" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">24.8</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">1.4</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col9"><inline-formula><mml:math id="M154" display="inline"><mml:mrow><mml:mo>+</mml:mo><mml:mn mathvariant="normal">1.1</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.5</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col10">314</oasis:entry>
         <oasis:entry colname="col11">3</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">SC</oasis:entry>
         <oasis:entry colname="col2">83</oasis:entry>
         <oasis:entry colname="col3">22 Feb 2020</oasis:entry>
         <oasis:entry colname="col4"><inline-formula><mml:math id="M155" display="inline"><mml:mrow><mml:mn mathvariant="normal">2.9</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">1.3</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col5"><inline-formula><mml:math id="M156" display="inline"><mml:mrow><mml:mn mathvariant="normal">18.6</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">21.7</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col6"><inline-formula><mml:math id="M157" display="inline"><mml:mrow><mml:mn mathvariant="normal">1119.6</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">612.2</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col7"><inline-formula><mml:math id="M158" display="inline"><mml:mrow><mml:mn mathvariant="normal">84.7</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">54.9</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col8"><inline-formula><mml:math id="M159" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">25.6</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">1.6</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col9"><inline-formula><mml:math id="M160" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">0.3</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">1.4</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col10">386</oasis:entry>
         <oasis:entry colname="col11">5</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">SC</oasis:entry>
         <oasis:entry colname="col2">99</oasis:entry>
         <oasis:entry colname="col3">25 Feb 2020</oasis:entry>
         <oasis:entry colname="col4">4.0</oasis:entry>
         <oasis:entry colname="col5">47.5</oasis:entry>
         <oasis:entry colname="col6">2557.9</oasis:entry>
         <oasis:entry colname="col7">297.9</oasis:entry>
         <oasis:entry colname="col8"><inline-formula><mml:math id="M161" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">23.7</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col9"><inline-formula><mml:math id="M162" display="inline"><mml:mrow><mml:mo>+</mml:mo><mml:mn mathvariant="normal">2.7</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col10">534</oasis:entry>
         <oasis:entry colname="col11">2</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">SC</oasis:entry>
         <oasis:entry colname="col2">101</oasis:entry>
         <oasis:entry colname="col3">25 Feb 2020</oasis:entry>
         <oasis:entry colname="col4"><inline-formula><mml:math id="M163" display="inline"><mml:mrow><mml:mn mathvariant="normal">4.9</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">2.0</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col5"><inline-formula><mml:math id="M164" display="inline"><mml:mrow><mml:mn mathvariant="normal">32.3</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">30.1</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col6"><inline-formula><mml:math id="M165" display="inline"><mml:mrow><mml:mn mathvariant="normal">1894.6</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">1164.6</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col7"><inline-formula><mml:math id="M166" display="inline"><mml:mrow><mml:mn mathvariant="normal">219.9</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">185.2</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col8"><inline-formula><mml:math id="M167" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">22.9</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">1.5</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col9"><inline-formula><mml:math id="M168" display="inline"><mml:mrow><mml:mo>+</mml:mo><mml:mn mathvariant="normal">2.8</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">1.9</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col10">368</oasis:entry>
         <oasis:entry colname="col11">3</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">SC</oasis:entry>
         <oasis:entry colname="col2">40</oasis:entry>
         <oasis:entry colname="col3">27 Feb 2020</oasis:entry>
         <oasis:entry colname="col4">4.9</oasis:entry>
         <oasis:entry colname="col5">5.8</oasis:entry>
         <oasis:entry colname="col6">1825.9</oasis:entry>
         <oasis:entry colname="col7">119.1</oasis:entry>
         <oasis:entry colname="col8"><inline-formula><mml:math id="M169" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">24.8</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col9"><inline-formula><mml:math id="M170" display="inline"><mml:mrow><mml:mo>+</mml:mo><mml:mn mathvariant="normal">2.3</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col10">560</oasis:entry>
         <oasis:entry colname="col11">2</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">SC</oasis:entry>
         <oasis:entry colname="col2">43<sup>∗</sup></oasis:entry>
         <oasis:entry colname="col3">27 Feb 2020</oasis:entry>
         <oasis:entry colname="col4"><inline-formula><mml:math id="M172" display="inline"><mml:mrow><mml:mn mathvariant="normal">15.9</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">2.2</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col5"><inline-formula><mml:math id="M173" display="inline"><mml:mrow><mml:mn mathvariant="normal">3.2</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.8</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col6"><inline-formula><mml:math id="M174" display="inline"><mml:mrow><mml:mn mathvariant="normal">664.3</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">192.1</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col7"><inline-formula><mml:math id="M175" display="inline"><mml:mrow><mml:mn mathvariant="normal">40.7</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">11.5</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col8"><inline-formula><mml:math id="M176" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">28.1</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.6</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col9"><inline-formula><mml:math id="M177" display="inline"><mml:mrow><mml:mo>+</mml:mo><mml:mn mathvariant="normal">0.5</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">2.1</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col10">–</oasis:entry>
         <oasis:entry colname="col11">3</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">SC</oasis:entry>
         <oasis:entry colname="col2">S138<sup>∗</sup></oasis:entry>
         <oasis:entry colname="col3">5 Mar 2020</oasis:entry>
         <oasis:entry colname="col4"><inline-formula><mml:math id="M179" display="inline"><mml:mrow><mml:mn mathvariant="normal">9.8</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.5</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col5"><inline-formula><mml:math id="M180" display="inline"><mml:mrow><mml:mn mathvariant="normal">0.2</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.0</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col6"><inline-formula><mml:math id="M181" display="inline"><mml:mrow><mml:mn mathvariant="normal">997.6</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">349.4</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col7"><inline-formula><mml:math id="M182" display="inline"><mml:mrow><mml:mn mathvariant="normal">32.1</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">9.3</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col8"><inline-formula><mml:math id="M183" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">26.9</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.8</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col9"><inline-formula><mml:math id="M184" display="inline"><mml:mrow><mml:mo>+</mml:mo><mml:mn mathvariant="normal">0.1</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.6</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col10">–</oasis:entry>
         <oasis:entry colname="col11">4</oasis:entry>
       </oasis:row>
     </oasis:tbody>
   </oasis:tgroup></oasis:table><table-wrap-foot><p id="d2e1182"><sup>∗</sup> Stations of newly formed ice.</p></table-wrap-foot></table-wrap>

</sec>
<sec id="Ch1.S2.SS2">
  <label>2.2</label><title>Sea ice melting and subsampling procedures</title>
      <p id="d2e3339">After measuring the total weight of sea ice, the ice blocks were roughly crushed with an ice pick to homogenize them, then randomly divided into 200–800 g portions (excluding UM15-08 and UM16-08). This ice was melted in 9 times the volume of 0.2 <inline-formula><mml:math id="M185" 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>-filtered seawater at 4 °C in the dark, and the meltwater was filtered through Whatman GF/F filters to measure Chl <inline-formula><mml:math id="M186" display="inline"><mml:mi>a</mml:mi></mml:math></inline-formula> concentration. The filters were soaked in <inline-formula><mml:math id="M187" display="inline"><mml:mi>N</mml:mi></mml:math></inline-formula>,<inline-formula><mml:math id="M188" display="inline"><mml:mi>N</mml:mi></mml:math></inline-formula>-Dimethylformamide (Suzuki and Ishimaru, 1990) and stored at <inline-formula><mml:math id="M189" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">20</mml:mn></mml:mrow></mml:math></inline-formula> °C in the dark. The remaining sea ice was then melted in polyethylene bags at room temperature in the dark (Roukaerts et al., 2019). Meltwater was filtered through pre-combusted Whatman GF/F filters and stored in a deep freezer. The subsequent drying and fumigation followed the procedure for seawater POM filters. Salinity was measured from a portion of the meltwater collected for nutrient analysis, which was then stored in a deep freezer (<inline-formula><mml:math id="M190" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">80</mml:mn></mml:mrow></mml:math></inline-formula> °C). Sea ice volume was calculated from salinity, meltwater temperature (<inline-formula><mml:math id="M191" display="inline"><mml:mrow><mml:mo>+</mml:mo><mml:mn mathvariant="normal">4</mml:mn></mml:mrow></mml:math></inline-formula> °C), and weight of sea ice.</p>
</sec>
<sec id="Ch1.S2.SS3">
  <label>2.3</label><title>Chl <inline-formula><mml:math id="M192" display="inline"><mml:mi>a</mml:mi></mml:math></inline-formula> concentration</title>
      <p id="d2e3420">The pigments on filters were extracted with <inline-formula><mml:math id="M193" display="inline"><mml:mi>N</mml:mi></mml:math></inline-formula>,<inline-formula><mml:math id="M194" display="inline"><mml:mi>N</mml:mi></mml:math></inline-formula>-Dimethylformamide for at least 24 h and Chl <inline-formula><mml:math id="M195" display="inline"><mml:mi>a</mml:mi></mml:math></inline-formula> concentrations were measured using a pre-calibrated fluorometer (Welschmeyer, 1994). For sea-ice samples from Sts. UM15-08 and UM16-08, all Chl <inline-formula><mml:math id="M196" display="inline"><mml:mi>a</mml:mi></mml:math></inline-formula> samples were collected from meltwater without adding filtered seawater. However, the effect of osmotic changes on bulk Chl <inline-formula><mml:math id="M197" display="inline"><mml:mi>a</mml:mi></mml:math></inline-formula> concentration is considered insignificant (Dieckmann et al., 1998; Meiners et al., 2012).</p>
</sec>
<sec id="Ch1.S2.SS4">
  <label>2.4</label><title>POC and PN concentrations and stable isotope composition</title>
      <p id="d2e3466">The POM filters were dried at 60 °C for 24 h, fumed with 1 mol L<sup>−1</sup> hydrochloric acid (HCl) to remove particulate inorganic carbon, and stored in a desiccator. The filter samples were packed into tin capsules and analyzed for POC and PN concentrations and stable isotope ratios (<inline-formula><mml:math id="M199" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">13</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula>, <inline-formula><mml:math id="M200" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">15</mml:mn></mml:msup><mml:mi mathvariant="normal">N</mml:mi></mml:mrow></mml:math></inline-formula>) using the isotope ratio mass spectrometry (Flash 2000-ConfoIV-DeltaV advantage, Thermo Scientific, USA; Europa PPZ GEO 20-20). <inline-formula><mml:math id="M201" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">13</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M202" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">15</mml:mn></mml:msup><mml:mi mathvariant="normal">N</mml:mi></mml:mrow></mml:math></inline-formula> were calculated using the following equations based on the differential ratios relative to standard materials.

            <disp-formula id="Ch1.E1" content-type="numbered"><label>1</label><mml:math id="M203" display="block"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mi>x</mml:mi></mml:msup><mml:mo>=</mml:mo><mml:mfenced open="(" close=")"><mml:mrow><mml:mfenced close="]" open="["><mml:mstyle displaystyle="true"><mml:mfrac style="display"><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mi mathvariant="normal">sample</mml:mi></mml:msub></mml:mrow><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mi mathvariant="normal">standard</mml:mi></mml:msub></mml:mrow></mml:mfrac></mml:mstyle></mml:mfenced><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:mfenced><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="normal">10</mml:mn><mml:mn mathvariant="normal">3</mml:mn></mml:msup></mml:mrow></mml:math></disp-formula>

          where <inline-formula><mml:math id="M204" display="inline"><mml:mi>x</mml:mi></mml:math></inline-formula> is either <sup>13</sup>C or <sup>15</sup>N and <inline-formula><mml:math id="M207" display="inline"><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mi mathvariant="normal">sample</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M208" display="inline"><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mi mathvariant="normal">standard</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> are the isotope ratios (<inline-formula><mml:math id="M209" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">13</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi><mml:msup><mml:mo>/</mml:mo><mml:mn mathvariant="normal">12</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M210" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">15</mml:mn></mml:msup><mml:mi mathvariant="normal">N</mml:mi><mml:msup><mml:mo>/</mml:mo><mml:mn mathvariant="normal">14</mml:mn></mml:msup><mml:mi mathvariant="normal">N</mml:mi></mml:mrow></mml:math></inline-formula>) of the samples and standard materials, respectively.</p>
</sec>
<sec id="Ch1.S2.SS5">
  <label>2.5</label><title>Nutrient concentrations</title>
      <p id="d2e3670">Nutrient concentrations (NO<inline-formula><mml:math id="M211" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">3</mml:mn><mml:mo>-</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula>, PO<inline-formula><mml:math id="M212" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">4</mml:mn><mml:mrow><mml:mn mathvariant="normal">3</mml:mn><mml:mo>-</mml:mo></mml:mrow></mml:msubsup></mml:mrow></mml:math></inline-formula> Si(OH)<sub>4</sub>) in sea ice collected by <italic>Umitaka-maru</italic> from 2016 to 2019 (UM15-08, UM16-08, UM18-08) and sea ice collected by <italic>Shirase</italic> in 2016–2017 and 2018–2019 (JARE57, JARE59) were measured using the methods described in Shimada et al. (2020). Sea ice from the <italic>Hakuho-maru</italic> voyages (KH19-01 and KH20-01) and the 2019–2020 <italic>Shirase</italic> voyage (JARE61) were measured in accordance with JGOFS (1994). To visually analyze the consumption and remineralization of each nutrient (NO<inline-formula><mml:math id="M214" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">3</mml:mn><mml:mo>-</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula>, PO<inline-formula><mml:math id="M215" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">4</mml:mn><mml:mrow><mml:mn mathvariant="normal">3</mml:mn><mml:mo>-</mml:mo></mml:mrow></mml:msubsup></mml:mrow></mml:math></inline-formula>, Si(OH)<sub>4</sub>) since sea ice formation, comparisons with the Theoretical Dilution Line (TDL) were conducted. The mean nutrient concentrations and salinity (34.3) from the summer minimum temperature layer, measured in the eastern Antarctic SIZ, were cited from Nomura et al. (2023) as initial (autumn to winter) seawater values. Bulk sea ice nutrient concentrations depend on brine discharge, sea ice freezing and melting, and snow accumulation, which could dilute bulk concentration. To isolate the effects of biological accumulation and consumption processes on the other components (e.g., POC concentration), the salinity-normalized nutrient concentrations (*NO<inline-formula><mml:math id="M217" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">3</mml:mn><mml:mo>-</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula>, *PO<inline-formula><mml:math id="M218" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">4</mml:mn><mml:mrow><mml:mn mathvariant="normal">3</mml:mn><mml:mo>-</mml:mo></mml:mrow></mml:msubsup></mml:mrow></mml:math></inline-formula>, *Si(OH)<sub>4</sub>) were calculated (Fripiat et al., 2017), which were expressed as:

            <disp-formula id="Ch1.E2" content-type="numbered"><label>2</label><mml:math id="M220" display="block"><mml:mrow><mml:mo>*</mml:mo><mml:mi>C</mml:mi><mml:mo>=</mml:mo><mml:mstyle displaystyle="true"><mml:mfrac style="display"><mml:mrow><mml:mi>C</mml:mi><mml:mo>×</mml:mo><mml:mn mathvariant="normal">34.3</mml:mn></mml:mrow><mml:mi>S</mml:mi></mml:mfrac></mml:mstyle></mml:mrow></mml:math></disp-formula>

          Here, <inline-formula><mml:math id="M221" display="inline"><mml:mi>C</mml:mi></mml:math></inline-formula> represents the bulk nutrient concentration, and <inline-formula><mml:math id="M222" display="inline"><mml:mi>S</mml:mi></mml:math></inline-formula> represents the salinity of sea ice. It should be noted that this method focuses on the seasonal change in nutrient concentration (i.e., changes since sea-ice formation) and does not completely rule out the effect of brine convection or exchange with seawater which could dilute/supply nutrient in sea ice.</p>
</sec>
<sec id="Ch1.S2.SS6">
  <label>2.6</label><title>Contribution of algal carbon to POC</title>
      <p id="d2e3840">The conversion of algae in sea ice to carbon was estimated from the POC <inline-formula><mml:math id="M223" display="inline"><mml:mo>:</mml:mo></mml:math></inline-formula> Chl <inline-formula><mml:math id="M224" display="inline"><mml:mi>a</mml:mi></mml:math></inline-formula> ratio reported in previous studies (Becquevort et al., 2009; Meiners et al., 2011; Takahashi et al., 2023). The POC <inline-formula><mml:math id="M225" display="inline"><mml:mo>:</mml:mo></mml:math></inline-formula> Chl <inline-formula><mml:math id="M226" display="inline"><mml:mi>a</mml:mi></mml:math></inline-formula> ratio for isolated cultured strains has been reported to be 25–96 for the Antarctic diatom <italic>Fragilariopsis cylindrus</italic> and 41–284 for the haptophyte <italic>Phaeocystis antarctica</italic> (Arrigo et al., 2010). However, these values are highly dependent on culture light conditions and are unlikely to reflect sea ice in natural environments inhabited by diverse communities. Therefore, this study used the ratio of ice-algal carbon (IAC) to chlorophyll <inline-formula><mml:math id="M227" display="inline"><mml:mi>a</mml:mi></mml:math></inline-formula> concentration, estimated from field observations. Previously, the IAC <inline-formula><mml:math id="M228" display="inline"><mml:mo>:</mml:mo></mml:math></inline-formula> Chl <inline-formula><mml:math id="M229" display="inline"><mml:mi>a</mml:mi></mml:math></inline-formula> ratios for Antarctic ice algae (based on linear regression) were reported to range from 32.5 to 91.7 (Becquevort et al., 2009; Meiners et al., 2011; Takahashi et al., 2023). We calculated ice-algal carbon content (POC<sub>algae</sub>, <inline-formula><mml:math id="M231" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi><mml:mi mathvariant="normal">g</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mi mathvariant="normal">C</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">L</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>) by multiplying sea-ice Chl <inline-formula><mml:math id="M232" display="inline"><mml:mi>a</mml:mi></mml:math></inline-formula> concentration by the mean IAC <inline-formula><mml:math id="M233" display="inline"><mml:mo>:</mml:mo></mml:math></inline-formula> Chl <inline-formula><mml:math id="M234" display="inline"><mml:mi>a</mml:mi></mml:math></inline-formula> ratio (<inline-formula><mml:math id="M235" display="inline"><mml:mrow><mml:mn mathvariant="normal">54.4</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">26.5</mml:mn></mml:mrow></mml:math></inline-formula>).

            <disp-formula id="Ch1.E3" content-type="numbered"><label>3</label><mml:math id="M236" display="block"><mml:mrow><mml:msub><mml:mtext>POC</mml:mtext><mml:mi mathvariant="normal">algae</mml:mi></mml:msub><mml:mo>=</mml:mo><mml:mtext>Chl</mml:mtext><mml:mspace linebreak="nobreak" width="0.25em"/><mml:mi>a</mml:mi><mml:mo>×</mml:mo><mml:mi>F</mml:mi></mml:mrow></mml:math></disp-formula>

          Here, <inline-formula><mml:math id="M237" display="inline"><mml:mi>F</mml:mi></mml:math></inline-formula> is the mean IAC <inline-formula><mml:math id="M238" display="inline"><mml:mo>:</mml:mo></mml:math></inline-formula> Chl <inline-formula><mml:math id="M239" display="inline"><mml:mi>a</mml:mi></mml:math></inline-formula> ratio. Additionally, by dividing POC<sub>algae</sub> by the POC concentration, we estimated the proportion of algae-derived carbon (%). This ratio still has uncertainty which affects our estimation of POC<sub>algae</sub> because of the variabilities among studies (Fig. S1 in the Supplement). Natural ice-algal assemblages change their cellular carbon or Chl <inline-formula><mml:math id="M242" display="inline"><mml:mi>a</mml:mi></mml:math></inline-formula> content under the alleviated light condition (Gosselin et al., 1990).</p>
</sec>
<sec id="Ch1.S2.SS7">
  <label>2.7</label><title>Sea-ice back trajectory and ice production based on remote sensing</title>
      <p id="d2e4041">To reconstruct the trajectories of sea ice after its formation, we estimated sea ice motion based on satellite observations (Kimura, 2004). Specifically, backward trajectories of virtual particles were calculated using daily gridded sea ice drift velocity data with a spatial resolution of 60 km. Each particle was advected backward in time following the ice motion field. When a particle reached a grid cell where no sea ice was present, that location was regarded as the point of initial sea ice formation for the particle (Corkill et al., 2023, etc.). However, it remains unclear whether sea ice was formed at this specific point. In this study, we estimated daily sea-ice production along the sea-ice trajectory to better identify its origin. First, the thermal ice thickness was estimated following Nakata et al. (2019) using microwave data from AMSR2 on board GCOM-W. The daily sea-ice production (m d<sup>−1</sup>, 6.25 km grid resolution) was calculated by the heat budget analyses (Nakata et al., 2021) using ECMWF ERA5 reanalysis products (Hersbach et al., 2018, 2020) and the estimated thermal ice thickness. We extracted sea ice production only along the trajectory. The first date of sea-ice production is defined as the first time sea ice was produced (<inline-formula><mml:math id="M244" display="inline"><mml:mrow><mml:mo>&gt;</mml:mo><mml:mn mathvariant="normal">0.00</mml:mn></mml:mrow></mml:math></inline-formula> m d<sup>−1</sup>) across all available trajectory data, and the elapsed days from sea-ice formation to ice sampling (DSF) are calculated. Because sea-ice motion was estimated using cross-correlations of pixels in a 60 km <inline-formula><mml:math id="M246" display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula> 60 km window, the trajectories and DSF data are missing in Sts. KH19-1 and ROV which lacked valid sea-ice data around the sampling site.</p>
</sec>
<sec id="Ch1.S2.SS8">
  <label>2.8</label><title>Sea ice melt thickness and POC flux from sea ice</title>
      <p id="d2e4093">To estimate POC and algae-derived POC (Sect. 2.6) supply from sea ice, we determined the average POC and Chl <inline-formula><mml:math id="M247" display="inline"><mml:mi>a</mml:mi></mml:math></inline-formula> concentrations within sea ice during the melt season. Because this study randomly sampled broken ice, it included sea ice of various sizes. To estimate the POC concentration in meltwater when these sea-ice samples melt, it is necessary to account for differences in ice piece size (melt volume). Using the POC concentration of all sea ice (excluding newly formed ice) and the volume calculated from sea ice weight, we calculated the volume-weighted mean (VWM) POC and Chl <inline-formula><mml:math id="M248" display="inline"><mml:mi>a</mml:mi></mml:math></inline-formula> concentrations, following Takahashi et al. (2022).

                <disp-formula specific-use="gather" content-type="numbered"><mml:math id="M249" display="block"><mml:mtable displaystyle="true"><mml:mlabeledtr id="Ch1.E4"><mml:mtd><mml:mtext>4</mml:mtext></mml:mtd><mml:mtd><mml:mrow><mml:mstyle displaystyle="true" class="stylechange"/><mml:msub><mml:mtext>POC</mml:mtext><mml:mi mathvariant="normal">VWM</mml:mi></mml:msub><mml:mo>=</mml:mo><mml:mstyle displaystyle="true"><mml:mfrac style="display"><mml:mrow><mml:munderover><mml:mo movablelimits="false">∑</mml:mo><mml:mrow><mml:mi>i</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow><mml:mi>n</mml:mi></mml:munderover><mml:mfenced open="(" close=")"><mml:mrow><mml:msub><mml:mi>a</mml:mi><mml:mi>i</mml:mi></mml:msub><mml:mo>×</mml:mo><mml:msub><mml:mi>b</mml:mi><mml:mi>i</mml:mi></mml:msub></mml:mrow></mml:mfenced></mml:mrow><mml:mrow><mml:munderover><mml:mo movablelimits="false">∑</mml:mo><mml:mrow><mml:mi>i</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow><mml:mi>n</mml:mi></mml:munderover><mml:msub><mml:mi>b</mml:mi><mml:mi>i</mml:mi></mml:msub></mml:mrow></mml:mfrac></mml:mstyle></mml:mrow></mml:mtd></mml:mlabeledtr><mml:mlabeledtr id="Ch1.E5"><mml:mtd><mml:mtext>5</mml:mtext></mml:mtd><mml:mtd><mml:mrow><mml:mstyle class="stylechange" displaystyle="true"/><mml:msub><mml:mtext>Chl</mml:mtext><mml:mi mathvariant="normal">VWM</mml:mi></mml:msub><mml:mo>=</mml:mo><mml:mstyle displaystyle="true"><mml:mfrac style="display"><mml:mrow><mml:munderover><mml:mo movablelimits="false">∑</mml:mo><mml:mrow><mml:mi>i</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow><mml:mi>n</mml:mi></mml:munderover><mml:mfenced close=")" open="("><mml:mrow><mml:msub><mml:mi>c</mml:mi><mml:mi>i</mml:mi></mml:msub><mml:mo>×</mml:mo><mml:msub><mml:mi>b</mml:mi><mml:mi>i</mml:mi></mml:msub></mml:mrow></mml:mfenced></mml:mrow><mml:mrow><mml:munderover><mml:mo movablelimits="false">∑</mml:mo><mml:mrow><mml:mi>i</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow><mml:mi>n</mml:mi></mml:munderover><mml:msub><mml:mi>b</mml:mi><mml:mi>i</mml:mi></mml:msub></mml:mrow></mml:mfrac></mml:mstyle></mml:mrow></mml:mtd></mml:mlabeledtr></mml:mtable></mml:math></disp-formula>

          Here, <inline-formula><mml:math id="M250" display="inline"><mml:mi>n</mml:mi></mml:math></inline-formula> is the total number of ice samples, and <inline-formula><mml:math id="M251" display="inline"><mml:mi>i</mml:mi></mml:math></inline-formula> indexes each ice sample. <inline-formula><mml:math id="M252" display="inline"><mml:mrow><mml:msub><mml:mi>a</mml:mi><mml:mi>i</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M253" display="inline"><mml:mrow><mml:msub><mml:mi>c</mml:mi><mml:mi>i</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> represent the concentrations of POC or Chl <inline-formula><mml:math id="M254" display="inline"><mml:mi>a</mml:mi></mml:math></inline-formula> (<inline-formula><mml:math id="M255" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi><mml:mi mathvariant="normal">g</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">L</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>), respectively, in the sea-ice sample number <inline-formula><mml:math id="M256" display="inline"><mml:mi>i</mml:mi></mml:math></inline-formula>, and <inline-formula><mml:math id="M257" display="inline"><mml:mrow><mml:msub><mml:mi>b</mml:mi><mml:mi>i</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> is the volume (L) of the sample. Chl<sub>VWM</sub> was converted to algal-derived POC by multiplying it by an IAC <inline-formula><mml:math id="M259" display="inline"><mml:mo>:</mml:mo></mml:math></inline-formula> Chl <inline-formula><mml:math id="M260" display="inline"><mml:mi>a</mml:mi></mml:math></inline-formula> ratio of <inline-formula><mml:math id="M261" display="inline"><mml:mrow><mml:mn mathvariant="normal">54.4</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">26.5</mml:mn></mml:mrow></mml:math></inline-formula> (Sect. 2.6).</p>
      <p id="d2e4355">We adopted the VWM method to determine POC content in meltwater in order to avoid biases when a mathematical mean was used. In extreme case, release of POC into seawater from quite small sea ice (sample volume: 0.4 L) with high POC concentration (5,000 <inline-formula><mml:math id="M262" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi><mml:mi mathvariant="normal">g</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">L</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>) is equivalent to that from larger ice (10 L) with low POC concentration (200 <inline-formula><mml:math id="M263" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi><mml:mi mathvariant="normal">g</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">L</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>) if both of them were melted (POC<sub>VWM</sub>: 2000 <inline-formula><mml:math id="M265" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi><mml:mi mathvariant="normal">g</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">L</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>). In this situation, using a simple mean value (2600 <inline-formula><mml:math id="M266" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi><mml:mi mathvariant="normal">g</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">L</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>) would make the contribution of POC concentration in larger-sized sea ice minor and the other way around. Although the VWM method cannot calculate the variance SD, it can correct for such bias when dealing with the samples with different size or concentrations.</p>
      <p id="d2e4443">Next, we estimated the freshwater flux from sea ice melt (unit: sea ice melt thickness [m]). The freshwater flux was calculated using climate values from Komatsu et al. (2025) and averaged over the study area (20–160° E). The sea ice meltwater flux was multiplied by the POC<sub>VWM</sub> concentration in sea ice to estimate the POC flux from sea ice to the water column per unit area (mg C m<sup>−2</sup> yr<sup>−1</sup>).

            <disp-formula id="Ch1.E6" content-type="numbered"><label>6</label><mml:math id="M270" display="block"><mml:mrow><mml:msub><mml:mtext>POC</mml:mtext><mml:mi mathvariant="normal">Input</mml:mi></mml:msub><mml:mo>=</mml:mo><mml:msub><mml:mi>H</mml:mi><mml:mi mathvariant="normal">i</mml:mi></mml:msub><mml:mo>×</mml:mo><mml:msub><mml:mi mathvariant="italic">ρ</mml:mi><mml:mi mathvariant="normal">i</mml:mi></mml:msub><mml:mo>×</mml:mo><mml:msub><mml:mtext>POC</mml:mtext><mml:mi mathvariant="normal">VWM</mml:mi></mml:msub></mml:mrow></mml:math></disp-formula>

          Here, <inline-formula><mml:math id="M271" display="inline"><mml:mrow><mml:msub><mml:mi>H</mml:mi><mml:mi mathvariant="normal">i</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> is ice melt thickness and <inline-formula><mml:math id="M272" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">ρ</mml:mi><mml:mi mathvariant="normal">i</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> is the density of sea ice (0.90) used in Komatsu et al. (2025). To estimate the contribution of the POC flux from sea ice to primary production in the water column, we cited the means (<inline-formula><mml:math id="M273" display="inline"><mml:mo lspace="0mm">±</mml:mo></mml:math></inline-formula> standard deviation: SD) of SIZ area (difference of ice extent in September and February) during 1979–2019 (Parkinson, 2019) and the primary production for the summer MIZ and MIZ shelves during 1997–2006 (Arrigo et al., 2008) in the Indian sector of the Southern Ocean. The SD for the contribution of sea-ice POC to the production in seawater was calculated by propagation of error using SD of POC input and primary production in the MIZ.</p>
</sec>
<sec id="Ch1.S2.SS9">
  <label>2.9</label><title>Statistical analyses</title>
      <p id="d2e4549">To identify factors influencing variations in sea-ice POC, PN concentrations, and POM stable isotope ratios (<inline-formula><mml:math id="M274" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">13</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula>, <inline-formula><mml:math id="M275" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">15</mml:mn></mml:msup><mml:mi mathvariant="normal">N</mml:mi></mml:mrow></mml:math></inline-formula>), we investigated correlations between these data and salinity, Chl <inline-formula><mml:math id="M276" display="inline"><mml:mi>a</mml:mi></mml:math></inline-formula>, salinity-normalized nutrient concentrations, the Si(OH)<sub>4</sub> <inline-formula><mml:math id="M278" display="inline"><mml:mo>:</mml:mo></mml:math></inline-formula> NO<inline-formula><mml:math id="M279" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">3</mml:mn><mml:mo>-</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula> ratio, the <inline-formula><mml:math id="M280" display="inline"><mml:mrow class="chem"><mml:msubsup><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">3</mml:mn><mml:mo>-</mml:mo></mml:msubsup><mml:mo>:</mml:mo><mml:msubsup><mml:mi mathvariant="normal">PO</mml:mi><mml:mn mathvariant="normal">4</mml:mn><mml:mrow><mml:mn mathvariant="normal">3</mml:mn><mml:mo>-</mml:mo></mml:mrow></mml:msubsup></mml:mrow></mml:math></inline-formula> ratio, and DSF. For each dataset, <inline-formula><mml:math id="M281" display="inline"><mml:mi>Q</mml:mi></mml:math></inline-formula>-<inline-formula><mml:math id="M282" display="inline"><mml:mi>Q</mml:mi></mml:math></inline-formula> plots were first used to assess whether parametric tests were appropriate. Since linear regression could not be applied to some parameter sets, a nonparametric Spearman's rank correlation test was used for all correlations, except the POC <inline-formula><mml:math id="M283" display="inline"><mml:mo>:</mml:mo></mml:math></inline-formula> PN ratio, to assess the presence of significant relationships and to calculate correlation coefficients. For POC, PN concentrations, <inline-formula><mml:math id="M284" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">13</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula>, and <inline-formula><mml:math id="M285" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">15</mml:mn></mml:msup><mml:mi mathvariant="normal">N</mml:mi></mml:mrow></mml:math></inline-formula> in the four areas (LB, CD, VB, SC; Fig. 1), the datasets were non-normal according to the Kolmogorov–Smirnov test. Therefore, the Kruskal-Wallis test and Steel-Dwass tests were used to confirm differences in medians across areas. All statistical analyses were performed using the R software (<uri>https://www.r-project.org/</uri>, last access: 4 January 2026).</p>
</sec>
</sec>
<sec id="Ch1.S3">
  <label>3</label><title>Results</title>
<sec id="Ch1.S3.SS1">
  <label>3.1</label><title>Characteristics of salinity, macronutrient, and POM concentrations in sea ice and seawater</title>
      <p id="d2e4706">The POC concentrations in sea ice ranged 246.1–6365.3 <inline-formula><mml:math id="M286" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi><mml:mi mathvariant="normal">g</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">L</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> and showed a linear relationship with PN (14.4–725.4 <inline-formula><mml:math id="M287" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi><mml:mi mathvariant="normal">g</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">L</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>) (Fig. 2a). The POC <inline-formula><mml:math id="M288" display="inline"><mml:mo>:</mml:mo></mml:math></inline-formula> PN ratio (g <inline-formula><mml:math id="M289" display="inline"><mml:mo>:</mml:mo></mml:math></inline-formula> g) ranged from 4.5 to 41.9, with an average of 13.4, and the ratio obtained from linear regression was 7.6. Sea-ice POM <inline-formula><mml:math id="M290" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">13</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M291" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">15</mml:mn></mml:msup><mml:mi mathvariant="normal">N</mml:mi></mml:mrow></mml:math></inline-formula> ranged from <inline-formula><mml:math id="M292" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">35.1</mml:mn></mml:mrow></mml:math></inline-formula> ‰ to <inline-formula><mml:math id="M293" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">11.7</mml:mn></mml:mrow></mml:math></inline-formula> ‰ and <inline-formula><mml:math id="M294" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3.8</mml:mn></mml:mrow></mml:math></inline-formula> ‰ to <inline-formula><mml:math id="M295" display="inline"><mml:mrow><mml:mo>+</mml:mo><mml:mn mathvariant="normal">11.1</mml:mn></mml:mrow></mml:math></inline-formula> ‰, respectively, showing a significant positive correlation with each other (Spearman's rank test, <inline-formula><mml:math id="M296" display="inline"><mml:mrow><mml:mi>r</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">0.34</mml:mn></mml:mrow></mml:math></inline-formula>, <inline-formula><mml:math id="M297" display="inline"><mml:mi>p</mml:mi></mml:math></inline-formula> <inline-formula><mml:math id="M298" display="inline"><mml:mo>&lt;</mml:mo></mml:math></inline-formula> 0.05), although the correlation coefficient was low (Fig. 2b).</p>
      <p id="d2e4855">The POC and PN concentrations in surface seawater showed lower values and smaller variations compared to sea ice ranging 79.7–302.5 and 13.9–64.3 <inline-formula><mml:math id="M299" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi><mml:mi mathvariant="normal">g</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">L</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>, respectively. Chl <inline-formula><mml:math id="M300" display="inline"><mml:mi>a</mml:mi></mml:math></inline-formula> concentration was also consistently low (0.2–1.8 <inline-formula><mml:math id="M301" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi><mml:mi mathvariant="normal">g</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">L</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>) except the maximum found at St. S35 (1.8 <inline-formula><mml:math id="M302" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi><mml:mi mathvariant="normal">g</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">L</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>). Seawater POM <inline-formula><mml:math id="M303" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">13</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M304" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">15</mml:mn></mml:msup><mml:mi mathvariant="normal">N</mml:mi></mml:mrow></mml:math></inline-formula> were <inline-formula><mml:math id="M305" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">28.8</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">1.0</mml:mn></mml:mrow></mml:math></inline-formula> ‰ (<inline-formula><mml:math id="M306" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">30.9</mml:mn></mml:mrow></mml:math></inline-formula> ‰ to <inline-formula><mml:math id="M307" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">27.0</mml:mn></mml:mrow></mml:math></inline-formula> ‰) and <inline-formula><mml:math id="M308" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">0.5</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">1.4</mml:mn></mml:mrow></mml:math></inline-formula> ‰ (<inline-formula><mml:math id="M309" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3.1</mml:mn></mml:mrow></mml:math></inline-formula> ‰ to <inline-formula><mml:math id="M310" display="inline"><mml:mrow><mml:mo>+</mml:mo><mml:mn mathvariant="normal">1.5</mml:mn></mml:mrow></mml:math></inline-formula> ‰), respectively and no relationships were observed between them.</p>
      <p id="d2e5018">Sea-ice salinity ranged from 0.3 to 10.6 in FYI/OI-derived sea ice and from 9.4 to 18.4 in newly formed ice. NO<inline-formula><mml:math id="M311" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">3</mml:mn><mml:mo>-</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula>, PO<inline-formula><mml:math id="M312" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">4</mml:mn><mml:mrow><mml:mn mathvariant="normal">3</mml:mn><mml:mo>-</mml:mo></mml:mrow></mml:msubsup></mml:mrow></mml:math></inline-formula>, and Si(OH)<sub>4</sub> concentrations in sea ice were 0.5–15.9, 0.0–8.0, and 0.0–21.3 <inline-formula><mml:math id="M314" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi><mml:mi mathvariant="normal">mol</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">L</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>, respectively (Fig. 2d–f). All nutrients showed a positive correlation with sea ice salinity, with the highest concentrations observed in the new ice from the SC. Compared to seawater (winter TDL), plots for NO<inline-formula><mml:math id="M315" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">3</mml:mn><mml:mo>-</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula>, PO<inline-formula><mml:math id="M316" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">4</mml:mn><mml:mrow><mml:mn mathvariant="normal">3</mml:mn><mml:mo>-</mml:mo></mml:mrow></mml:msubsup></mml:mrow></mml:math></inline-formula>, and Si(OH)<sub>4</sub> fell below the TDL in 43 %, 7 %, and 93 % of samples, respectively. The proportion of sea ice samples falling below the TDL showed no significant regional variation for NO<inline-formula><mml:math id="M318" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">3</mml:mn><mml:mo>-</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula>.</p>

      <fig id="F2"><label>Figure 2</label><caption><p id="d2e5128">Relationships between concentrations or isotope ratios of particulate organic carbon and nitrogen and Chl <inline-formula><mml:math id="M319" display="inline"><mml:mi>a</mml:mi></mml:math></inline-formula> and in sea ice and seawater <bold>(a–c)</bold>. Sea-ice salinity and macronutrient concentrations <bold>(d–f)</bold>. TDL denotes theoretical dilution line. LB: Lützow-Holm Bay; CD: Cape Darnley; VB: Vincennes Bay; SC: Sabrina Coast. The Spearman's rank correlation coefficient and <inline-formula><mml:math id="M320" display="inline"><mml:mi>p</mml:mi></mml:math></inline-formula> values are shown in the bottom right for <bold>(a)</bold>–<bold>(c)</bold>.</p></caption>
          <graphic xlink:href="https://bg.copernicus.org/articles/23/7505/2026/bg-23-7505-2026-f02.png"/>

        </fig>

      <p id="d2e5164">The tracked trajectory of the sea ice revealed that much of it drifted from the east (Figs. S1–S3). The number of days since the sea ice formation (DSF) ranged from 203 to 581 d (Table 1). Even within the same sea area (LB, CD, VB, and SC), the DSF varied significantly, ranging from sea ice less than 1-year old to ice likely to be second-year ice (DSF <inline-formula><mml:math id="M321" display="inline"><mml:mo>&gt;</mml:mo></mml:math></inline-formula> 500 d).</p>
</sec>
<sec id="Ch1.S3.SS2">
  <label>3.2</label><title>Regional variations of Chl <inline-formula><mml:math id="M322" display="inline"><mml:mi>a</mml:mi></mml:math></inline-formula> and POM concentrations and isotope signatures</title>
      <p id="d2e5190">To examine the regional variations and differences between sea ice types (FYI/OI and newly formed ice) for each parameter, the values were plotted for the four regions (Fig. 3). The sea ice salinity of the FYI/OI from all stations was significantly lower than that of the newly formed ice. Significant salinity differences were observed between the VB (mean 3.0) and SC (mean 5.4) (Steel-Dwass test, <inline-formula><mml:math id="M323" display="inline"><mml:mrow><mml:mi>p</mml:mi><mml:mo>&lt;</mml:mo><mml:mn mathvariant="normal">0.05</mml:mn></mml:mrow></mml:math></inline-formula>). Chl <inline-formula><mml:math id="M324" display="inline"><mml:mi>a</mml:mi></mml:math></inline-formula> concentrations in FYI/OI ranged 0.01–134 <inline-formula><mml:math id="M325" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi><mml:mi mathvariant="normal">g</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">L</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>, showing higher average concentrations compared to newly formed ice (0.2–4.0 <inline-formula><mml:math id="M326" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi><mml:mi mathvariant="normal">g</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">L</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>). Except for CD, FYI/OI had significantly higher Chl <inline-formula><mml:math id="M327" display="inline"><mml:mi>a</mml:mi></mml:math></inline-formula> concentrations than the newly formed ice (Steel-Dwass test, <inline-formula><mml:math id="M328" display="inline"><mml:mrow><mml:mi>p</mml:mi><mml:mo>&lt;</mml:mo><mml:mn mathvariant="normal">0.05</mml:mn></mml:mrow></mml:math></inline-formula>).</p>

      <fig id="F3" specific-use="star"><label>Figure 3</label><caption><p id="d2e5272">Regional or ice-type (FYI/OI brash ice vs. newly formed ice) differences in salinity <bold>(a)</bold>, Chl <inline-formula><mml:math id="M329" display="inline"><mml:mi>a</mml:mi></mml:math></inline-formula> <bold>(b)</bold>, POC <bold>(c)</bold>, PN <bold>(d)</bold> concentrations and POC <inline-formula><mml:math id="M330" display="inline"><mml:mo>:</mml:mo></mml:math></inline-formula> PN ratios <bold>(e)</bold>, stable isotopes of POC <bold>(f)</bold> and PN <bold>(g)</bold>, and POC <inline-formula><mml:math id="M331" display="inline"><mml:mo>:</mml:mo></mml:math></inline-formula> Chl <inline-formula><mml:math id="M332" display="inline"><mml:mi>a</mml:mi></mml:math></inline-formula> ratios <bold>(h)</bold> in sea ice. X and horizontal dotted lines indicate the mean and median, respectively. LB: Lützow-Holm Bay; CD: Cape Darnley; VB: Vincennes Bay; SC: Sabrina Coast.</p></caption>
          <graphic xlink:href="https://bg.copernicus.org/articles/23/7505/2026/bg-23-7505-2026-f03.png"/>

        </fig>

      <p id="d2e5335">Similar to Chl <inline-formula><mml:math id="M333" display="inline"><mml:mi>a</mml:mi></mml:math></inline-formula>, POC concentrations of FYI/OI were higher than the average value for newly formed ice (738.3 <inline-formula><mml:math id="M334" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi><mml:mi mathvariant="normal">g</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">L</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>), but significant differences in POC concentration were only observed between those of CD and VB, and between CD and newly formed ice. Unlike POC, PN concentrations showed no significant differences between FYI/OI, whereas newly formed ice was significantly lower than VB, CD, and SC. The POC <inline-formula><mml:math id="M335" display="inline"><mml:mo>:</mml:mo></mml:math></inline-formula> PN ratio for FYI/OI ranged from 4.5 to 12.6, showing lower values and less variation compared to new ice (11.9–41.9). However, significant differences were observed only between the SC and newly formed ice (Steel-Dwass test, <inline-formula><mml:math id="M336" display="inline"><mml:mrow><mml:mi>p</mml:mi><mml:mo>&lt;</mml:mo><mml:mn mathvariant="normal">0.05</mml:mn></mml:mrow></mml:math></inline-formula>).</p>
      <p id="d2e5384">The mean (<inline-formula><mml:math id="M337" display="inline"><mml:mo lspace="0mm">±</mml:mo></mml:math></inline-formula> SD) <inline-formula><mml:math id="M338" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">13</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M339" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">15</mml:mn></mml:msup><mml:mi mathvariant="normal">N</mml:mi></mml:mrow></mml:math></inline-formula> values for sea ice excluding newly formed ice were <inline-formula><mml:math id="M340" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">24.4</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">3.2</mml:mn></mml:mrow></mml:math></inline-formula> ‰ and <inline-formula><mml:math id="M341" display="inline"><mml:mrow><mml:mo>+</mml:mo><mml:mn mathvariant="normal">1.6</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">2.2</mml:mn></mml:mrow></mml:math></inline-formula> ‰, respectively (<inline-formula><mml:math id="M342" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">24.6</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">3.2</mml:mn></mml:mrow></mml:math></inline-formula> ‰ and <inline-formula><mml:math id="M343" display="inline"><mml:mrow><mml:mo>+</mml:mo><mml:mn mathvariant="normal">1.5</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">2.2</mml:mn></mml:mrow></mml:math></inline-formula> ‰ for all sea ice). The <inline-formula><mml:math id="M344" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">13</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula> of newly formed ice was significantly lower than those of LB and SC, but no significant difference was observed among FYI/OI samples. For <inline-formula><mml:math id="M345" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">15</mml:mn></mml:msup><mml:mi mathvariant="normal">N</mml:mi></mml:mrow></mml:math></inline-formula>, no significant differences were found between regions or newly formed ice, except that SC was significantly higher than LB. The POC <inline-formula><mml:math id="M346" display="inline"><mml:mo>:</mml:mo></mml:math></inline-formula> Chl <inline-formula><mml:math id="M347" display="inline"><mml:mi>a</mml:mi></mml:math></inline-formula> ratio showed significant differences among the VB, SC, and newly formed ice, with the highest average value observed in the newly formed ice.</p>
</sec>
<sec id="Ch1.S3.SS3">
  <label>3.3</label><title>Monthly variations in physical properties and biogeochemical components of sea ice</title>
      <p id="d2e5526">To clarify whether the physical parameters and particulate matter within sea ice varied across sampling periods, the above components were plotted separately for December, January, and February (Fig. 4), excluding newly formed ice. The sea ice salinity showed significant differences between December and February. The average salinity peaked in December (6.3), declined to 2.8 in January, and increased slightly to 4.0 in February. The Chl <inline-formula><mml:math id="M348" display="inline"><mml:mi>a</mml:mi></mml:math></inline-formula> concentration in the sea ice increased from December to February. Although the average value in February was more than 2.1 times higher than that in the preceding months, no significant monthly differences were observed (Kruskal-Wallis test, <inline-formula><mml:math id="M349" display="inline"><mml:mrow><mml:mi>p</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">0.26</mml:mn></mml:mrow></mml:math></inline-formula>). The mean monthly POC concentrations increased from December to February, with significantly higher concentration found in February than in other months. The PN concentration also tended to increase in February and significant differences were observed between February and the preceding months. However, the rate of increase from January to February was 1.6 times for POC and 1.8 times for PN, which was more moderate than the increase in Chl <inline-formula><mml:math id="M350" display="inline"><mml:mi>a</mml:mi></mml:math></inline-formula> concentration. POC <inline-formula><mml:math id="M351" display="inline"><mml:mo>:</mml:mo></mml:math></inline-formula> PN and POC <inline-formula><mml:math id="M352" display="inline"><mml:mo>:</mml:mo></mml:math></inline-formula> Chl <inline-formula><mml:math id="M353" display="inline"><mml:mi>a</mml:mi></mml:math></inline-formula> ratios, <inline-formula><mml:math id="M354" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">13</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula>, and <inline-formula><mml:math id="M355" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">15</mml:mn></mml:msup><mml:mi mathvariant="normal">N</mml:mi></mml:mrow></mml:math></inline-formula> showed some monthly variations, but no significant differences were discerned (Kruskal-Wallis test, <inline-formula><mml:math id="M356" display="inline"><mml:mrow><mml:mi>p</mml:mi><mml:mo>&gt;</mml:mo><mml:mn mathvariant="normal">0.29</mml:mn></mml:mrow></mml:math></inline-formula>).</p>

      <fig id="F4" specific-use="star"><label>Figure 4</label><caption><p id="d2e5617">Monthly variations of sea-ice salinity <bold>(a)</bold>, Chl <inline-formula><mml:math id="M357" display="inline"><mml:mi>a</mml:mi></mml:math></inline-formula> <bold>(b)</bold>, POC <bold>(c)</bold>, PN <bold>(d)</bold> concentrations and POC <inline-formula><mml:math id="M358" display="inline"><mml:mo>:</mml:mo></mml:math></inline-formula> PN ratios <bold>(e)</bold>, stable isotope ratios of POC <bold>(f)</bold> and PN <bold>(g)</bold>, and POC <inline-formula><mml:math id="M359" display="inline"><mml:mo>:</mml:mo></mml:math></inline-formula> Chl <inline-formula><mml:math id="M360" display="inline"><mml:mi>a</mml:mi></mml:math></inline-formula> ratios <bold>(h)</bold>. <inline-formula><mml:math id="M361" display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula> and horizontal dotted lines indicate the mean and median, respectively.</p></caption>
          <graphic xlink:href="https://bg.copernicus.org/articles/23/7505/2026/bg-23-7505-2026-f04.png"/>

        </fig>

</sec>
<sec id="Ch1.S3.SS4">
  <label>3.4</label><title>Inter-relationships between biogeochemical components in sea ice and seawater</title>
      <p id="d2e5695">To identify the factors affecting the sea ice POC and PN concentrations and their respective isotope ratios, we investigated their correlations with other physical and biogeochemical parameters (Fig. 5). Sea-ice POC and PN concentrations showed positive correlations with Chl <inline-formula><mml:math id="M362" display="inline"><mml:mi>a</mml:mi></mml:math></inline-formula> and *PO<inline-formula><mml:math id="M363" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">4</mml:mn><mml:mrow><mml:mn mathvariant="normal">3</mml:mn><mml:mo>-</mml:mo></mml:mrow></mml:msubsup></mml:mrow></mml:math></inline-formula> concentrations and Si(OH)<sub>4</sub> <inline-formula><mml:math id="M365" display="inline"><mml:mo>:</mml:mo></mml:math></inline-formula> NO<inline-formula><mml:math id="M366" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">3</mml:mn><mml:mo>-</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula> (Spearman's rank test, <inline-formula><mml:math id="M367" display="inline"><mml:mrow><mml:mi>r</mml:mi><mml:mo>&gt;</mml:mo><mml:mn mathvariant="normal">0.30</mml:mn></mml:mrow></mml:math></inline-formula>, <inline-formula><mml:math id="M368" display="inline"><mml:mrow><mml:mi>p</mml:mi><mml:mo>&lt;</mml:mo><mml:mn mathvariant="normal">0.05</mml:mn></mml:mrow></mml:math></inline-formula>), while they correlated negatively with *NO<inline-formula><mml:math id="M369" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">3</mml:mn><mml:mo>-</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula> and DSF (<inline-formula><mml:math id="M370" display="inline"><mml:mrow><mml:mi>r</mml:mi><mml:mo>&lt;</mml:mo><mml:mo>-</mml:mo><mml:mn mathvariant="normal">0.20</mml:mn></mml:mrow></mml:math></inline-formula>, <inline-formula><mml:math id="M371" display="inline"><mml:mrow><mml:mi>p</mml:mi><mml:mo>&lt;</mml:mo><mml:mn mathvariant="normal">0.05</mml:mn></mml:mrow></mml:math></inline-formula>, Fig. 5a). Chl <inline-formula><mml:math id="M372" display="inline"><mml:mi>a</mml:mi></mml:math></inline-formula> concentration showed similar results to POC and PN regarding Chl <inline-formula><mml:math id="M373" display="inline"><mml:mi>a</mml:mi></mml:math></inline-formula> and *PO<inline-formula><mml:math id="M374" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">4</mml:mn><mml:mrow><mml:mn mathvariant="normal">3</mml:mn><mml:mo>-</mml:mo></mml:mrow></mml:msubsup></mml:mrow></mml:math></inline-formula>, but it also exhibited a weak positive correlation with salinity (Spearman's rank test, <inline-formula><mml:math id="M375" display="inline"><mml:mrow><mml:mi>r</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">0.35</mml:mn></mml:mrow></mml:math></inline-formula>, <inline-formula><mml:math id="M376" display="inline"><mml:mrow><mml:mi>p</mml:mi><mml:mo>&lt;</mml:mo><mml:mn mathvariant="normal">0.05</mml:mn></mml:mrow></mml:math></inline-formula>). DSF showed negative correlations with Chl <inline-formula><mml:math id="M377" display="inline"><mml:mi>a</mml:mi></mml:math></inline-formula> concentration and salinity, similar to POC and PN, but a positive correlation was also observed between POC <inline-formula><mml:math id="M378" display="inline"><mml:mo>:</mml:mo></mml:math></inline-formula> Chl <inline-formula><mml:math id="M379" display="inline"><mml:mi>a</mml:mi></mml:math></inline-formula> ratio (Spearman's rank test, <inline-formula><mml:math id="M380" display="inline"><mml:mrow><mml:mi>r</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">0.32</mml:mn></mml:mrow></mml:math></inline-formula>, <inline-formula><mml:math id="M381" display="inline"><mml:mrow><mml:mi>p</mml:mi><mml:mo>&lt;</mml:mo><mml:mn mathvariant="normal">0.05</mml:mn></mml:mrow></mml:math></inline-formula>).</p>

      <fig id="F5" specific-use="star"><label>Figure 5</label><caption><p id="d2e5913">Inter-relationships of biogeochemical properties and POC, PN concentration and their isotope ratios for sea ice <bold>(a)</bold> and surface seawater <bold>(b)</bold>. DSF: days since sea-ice formation.</p></caption>
          <graphic xlink:href="https://bg.copernicus.org/articles/23/7505/2026/bg-23-7505-2026-f05.png"/>

        </fig>

      <p id="d2e5928">The sea-ice POM <inline-formula><mml:math id="M382" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">13</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M383" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">15</mml:mn></mml:msup><mml:mi mathvariant="normal">N</mml:mi></mml:mrow></mml:math></inline-formula> showed positive correlations with POC, PN, and Chl <inline-formula><mml:math id="M384" display="inline"><mml:mi>a</mml:mi></mml:math></inline-formula> concentration (Spearman's rank test, <inline-formula><mml:math id="M385" display="inline"><mml:mrow><mml:mi>r</mml:mi><mml:mo>&gt;</mml:mo><mml:mn mathvariant="normal">0.30</mml:mn></mml:mrow></mml:math></inline-formula>, <inline-formula><mml:math id="M386" display="inline"><mml:mrow><mml:mi>p</mml:mi><mml:mo>&lt;</mml:mo><mml:mn mathvariant="normal">0.05</mml:mn></mml:mrow></mml:math></inline-formula>), while they correlated negatively with POC <inline-formula><mml:math id="M387" display="inline"><mml:mo>:</mml:mo></mml:math></inline-formula> Chl <inline-formula><mml:math id="M388" display="inline"><mml:mi>a</mml:mi></mml:math></inline-formula> (<inline-formula><mml:math id="M389" display="inline"><mml:mrow><mml:mi>r</mml:mi><mml:mo>=</mml:mo><mml:mo>-</mml:mo><mml:mn mathvariant="normal">0.57</mml:mn></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M390" display="inline"><mml:mrow><mml:mi>r</mml:mi><mml:mo>=</mml:mo><mml:mo>-</mml:mo><mml:mn mathvariant="normal">0.28</mml:mn></mml:mrow></mml:math></inline-formula> for <inline-formula><mml:math id="M391" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">13</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M392" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">15</mml:mn></mml:msup><mml:mi mathvariant="normal">N</mml:mi></mml:mrow></mml:math></inline-formula>, respectively, <inline-formula><mml:math id="M393" display="inline"><mml:mrow><mml:mi>p</mml:mi><mml:mo>&lt;</mml:mo><mml:mn mathvariant="normal">0.05</mml:mn></mml:mrow></mml:math></inline-formula>). Among each nutrient, both <inline-formula><mml:math id="M394" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">13</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M395" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">15</mml:mn></mml:msup><mml:mi mathvariant="normal">N</mml:mi></mml:mrow></mml:math></inline-formula> showed a negative correlation with *NO<inline-formula><mml:math id="M396" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">3</mml:mn><mml:mo>-</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M397" display="inline"><mml:mrow class="chem"><mml:msubsup><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">3</mml:mn><mml:mo>-</mml:mo></mml:msubsup><mml:mo>:</mml:mo><mml:msubsup><mml:mi mathvariant="normal">PO</mml:mi><mml:mn mathvariant="normal">4</mml:mn><mml:mrow><mml:mn mathvariant="normal">3</mml:mn><mml:mo>-</mml:mo></mml:mrow></mml:msubsup></mml:mrow></mml:math></inline-formula> (Spearman's rank test, <inline-formula><mml:math id="M398" display="inline"><mml:mrow><mml:mi>r</mml:mi><mml:mo>&lt;</mml:mo><mml:mo>-</mml:mo><mml:mn mathvariant="normal">0.20</mml:mn></mml:mrow></mml:math></inline-formula>, <inline-formula><mml:math id="M399" display="inline"><mml:mrow><mml:mi>p</mml:mi><mml:mo>&lt;</mml:mo><mml:mn mathvariant="normal">0.05</mml:mn></mml:mrow></mml:math></inline-formula>), while only <inline-formula><mml:math id="M400" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">13</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula> showed a positive correlation with *PO<inline-formula><mml:math id="M401" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">4</mml:mn><mml:mrow><mml:mn mathvariant="normal">3</mml:mn><mml:mo>-</mml:mo></mml:mrow></mml:msubsup></mml:mrow></mml:math></inline-formula> and Si(OH)<sub>4</sub> <inline-formula><mml:math id="M403" display="inline"><mml:mo>:</mml:mo></mml:math></inline-formula> NO<inline-formula><mml:math id="M404" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">3</mml:mn><mml:mo>-</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula> (<inline-formula><mml:math id="M405" display="inline"><mml:mrow><mml:mi>r</mml:mi><mml:mo>&gt;</mml:mo><mml:mn mathvariant="normal">0.45</mml:mn></mml:mrow></mml:math></inline-formula>, <inline-formula><mml:math id="M406" display="inline"><mml:mrow><mml:mi>p</mml:mi><mml:mo>&lt;</mml:mo><mml:mn mathvariant="normal">0.05</mml:mn></mml:mrow></mml:math></inline-formula>).</p>
      <p id="d2e6242">The POC and PN concentrations in surface seawater also showed a strong positive correlation with the Chl <inline-formula><mml:math id="M407" display="inline"><mml:mi>a</mml:mi></mml:math></inline-formula> concentration (Spearman's rank test, <inline-formula><mml:math id="M408" display="inline"><mml:mrow><mml:mi>r</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">0.90</mml:mn></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M409" display="inline"><mml:mrow><mml:mi>r</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">0.87</mml:mn></mml:mrow></mml:math></inline-formula> for POC and PN, respectively, <inline-formula><mml:math id="M410" display="inline"><mml:mrow><mml:mi>p</mml:mi><mml:mo>&lt;</mml:mo><mml:mn mathvariant="normal">0.05</mml:mn></mml:mrow></mml:math></inline-formula>, Fig. 5b). However, unlike sea ice, they showed negative correlations with PO<inline-formula><mml:math id="M411" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">4</mml:mn><mml:mrow><mml:mn mathvariant="normal">3</mml:mn><mml:mo>-</mml:mo></mml:mrow></mml:msubsup></mml:mrow></mml:math></inline-formula> (Spearman's rank test, <inline-formula><mml:math id="M412" display="inline"><mml:mrow><mml:mi>r</mml:mi><mml:mo>&lt;</mml:mo><mml:mo>-</mml:mo><mml:mn mathvariant="normal">0.78</mml:mn></mml:mrow></mml:math></inline-formula>, <inline-formula><mml:math id="M413" display="inline"><mml:mrow><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="M414" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">13</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula> showed a negative correlation with Si(OH)<sub>4</sub> concentration and the Si(OH)<sub>4</sub> <inline-formula><mml:math id="M417" display="inline"><mml:mo>:</mml:mo></mml:math></inline-formula> NO<inline-formula><mml:math id="M418" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">3</mml:mn><mml:mo>-</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula> ratio (Spearman's rank test, <inline-formula><mml:math id="M419" display="inline"><mml:mrow><mml:mi>r</mml:mi><mml:mo>&lt;</mml:mo><mml:mo>-</mml:mo><mml:mn mathvariant="normal">0.63</mml:mn></mml:mrow></mml:math></inline-formula>, <inline-formula><mml:math id="M420" display="inline"><mml:mi>p</mml:mi></mml:math></inline-formula> <inline-formula><mml:math id="M421" display="inline"><mml:mo>&lt;</mml:mo></mml:math></inline-formula> 0.05), while <inline-formula><mml:math id="M422" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">13</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula> showed a positive one with sea surface temperature (<inline-formula><mml:math id="M423" display="inline"><mml:mrow><mml:mi>r</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">0.62</mml:mn></mml:mrow></mml:math></inline-formula>, <inline-formula><mml:math id="M424" display="inline"><mml:mrow><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="M425" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">15</mml:mn></mml:msup><mml:mi mathvariant="normal">N</mml:mi></mml:mrow></mml:math></inline-formula> showed a significant negative correlation only with salinity (Spearman's rank test, <inline-formula><mml:math id="M426" display="inline"><mml:mrow><mml:mi>r</mml:mi><mml:mo>=</mml:mo><mml:mo>-</mml:mo><mml:mn mathvariant="normal">0.66</mml:mn></mml:mrow></mml:math></inline-formula>, <inline-formula><mml:math id="M427" display="inline"><mml:mrow><mml:mi>p</mml:mi><mml:mo>&lt;</mml:mo><mml:mn mathvariant="normal">0.05</mml:mn></mml:mrow></mml:math></inline-formula>).</p>
</sec>
<sec id="Ch1.S3.SS5">
  <label>3.5</label><title>Contribution of POC released from sea ice to the water column</title>
      <p id="d2e6495">The POC<sub>VWM</sub> concentration for sea ice (excluding newly formed ice) was 1137.2 <inline-formula><mml:math id="M429" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi><mml:mi mathvariant="normal">g</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">L</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>, with an average value of 1353.0 <inline-formula><mml:math id="M430" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi><mml:mi mathvariant="normal">g</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">L</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> and a median of 1022.1 <inline-formula><mml:math id="M431" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi><mml:mi mathvariant="normal">g</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">L</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>. The POC supply from sea ice in the Indian sector, calculated from meltwater flux and the  area of the SIZ, was <inline-formula><mml:math id="M432" display="inline"><mml:mrow><mml:mn mathvariant="normal">4.1</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.3</mml:mn></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M433" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">Tg</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">yr</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> (Table 2). Assuming the primary production at the MIZ in this sector to be <inline-formula><mml:math id="M434" display="inline"><mml:mrow><mml:mn mathvariant="normal">27.9</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">5.0</mml:mn></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M435" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">Tg</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">yr</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> (Arrigo et al., 2008), sea ice-derived carbon was found to account for <inline-formula><mml:math id="M436" display="inline"><mml:mrow><mml:mn mathvariant="normal">14.7</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">2.8</mml:mn></mml:mrow></mml:math></inline-formula> % of this production. The Chl<sub>VWM</sub> concentration was 12.4 <inline-formula><mml:math id="M438" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi><mml:mi mathvariant="normal">g</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">L</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>. The POC<sub>algae</sub> concentration estimated by Chl<sub>VWM</sub> and the mean IAC <inline-formula><mml:math id="M441" display="inline"><mml:mo>:</mml:mo></mml:math></inline-formula> Chl <inline-formula><mml:math id="M442" display="inline"><mml:mi>a</mml:mi></mml:math></inline-formula> ratio (<inline-formula><mml:math id="M443" display="inline"><mml:mrow><mml:mn mathvariant="normal">54.4</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">26.5</mml:mn></mml:mrow></mml:math></inline-formula>, Sect. 2.6) yielded <inline-formula><mml:math id="M444" display="inline"><mml:mrow><mml:mn mathvariant="normal">674.6</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">328.6</mml:mn></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M445" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi><mml:mi mathvariant="normal">g</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">L</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>, which corresponds to <inline-formula><mml:math id="M446" display="inline"><mml:mrow><mml:mn mathvariant="normal">59.3</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">28.9</mml:mn></mml:mrow></mml:math></inline-formula> % of POC<sub>VWM</sub>.</p>

<table-wrap id="T2" specific-use="star"><label>Table 2</label><caption><p id="d2e6764">The estimated input of POC from sea ice and its contribution to primary production in the marginal ice zones of the Indian sector (20–160° E) of the Southern Ocean. The standard deviation (SD) for the contribution of sea-ice POC to the production in seawater was calculated by propagation of error using SD of POC input and primary production in the MIZ.</p></caption><oasis:table frame="topbot"><oasis:tgroup cols="2">
     <oasis:colspec colnum="1" colname="col1" align="left"/>
     <oasis:colspec colnum="2" colname="col2" align="right"/>
     <oasis:thead>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1">Variable</oasis:entry>
         <oasis:entry colname="col2">Estimates</oasis:entry>
       </oasis:row>
     </oasis:thead>
     <oasis:tbody>
       <oasis:row>
         <oasis:entry colname="col1">POC<sub>VWM</sub> (<inline-formula><mml:math id="M456" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi><mml:mi mathvariant="normal">g</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">L</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>)<sup>a</sup></oasis:entry>
         <oasis:entry colname="col2">1137.2</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Mean ice melt thickness, <inline-formula><mml:math id="M458" display="inline"><mml:mrow><mml:msub><mml:mi>H</mml:mi><mml:mi mathvariant="normal">i</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> in the Indian sector (m yr<sup>−1</sup>)<sup>b</sup></oasis:entry>
         <oasis:entry colname="col2">0.82</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">POC Input from ice per area (<inline-formula><mml:math id="M461" display="inline"><mml:mrow><mml:mi>a</mml:mi><mml:mo>×</mml:mo><mml:mi>b</mml:mi><mml:mo>×</mml:mo><mml:msub><mml:mi mathvariant="italic">ρ</mml:mi><mml:mi mathvariant="normal">i</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>, <inline-formula><mml:math id="M462" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">mg</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">yr</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>)<sup>c</sup></oasis:entry>
         <oasis:entry colname="col2">839.3</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Seasonal sea-ice zone of the Indian sector (<inline-formula><mml:math id="M464" display="inline"><mml:mrow><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="normal">10</mml:mn><mml:mn mathvariant="normal">6</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula> km<sup>2</sup>)<sup>d</sup></oasis:entry>
         <oasis:entry colname="col2"><inline-formula><mml:math id="M467" display="inline"><mml:mrow><mml:mn mathvariant="normal">4.9</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.3</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">POC Input from ice in the Indian sector (<inline-formula><mml:math id="M468" display="inline"><mml:mrow><mml:mi>c</mml:mi><mml:mo>×</mml:mo><mml:mi>d</mml:mi></mml:mrow></mml:math></inline-formula>, <inline-formula><mml:math id="M469" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">Tg</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">yr</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>)<sup>e</sup></oasis:entry>
         <oasis:entry colname="col2"><inline-formula><mml:math id="M471" display="inline"><mml:mrow><mml:mn mathvariant="normal">4.1</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.3</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Primary production in the MIZ and MIZ shelf in the Indian sector (Tg yr<sup>−1</sup>)<sup>f</sup></oasis:entry>
         <oasis:entry colname="col2"><inline-formula><mml:math id="M474" display="inline"><mml:mrow><mml:mn mathvariant="normal">27.9</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">5.0</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Contribution of sea-ice POC to the primary production in MIZ (<inline-formula><mml:math id="M475" display="inline"><mml:mrow><mml:mi>e</mml:mi><mml:mo>/</mml:mo><mml:mi>f</mml:mi></mml:mrow></mml:math></inline-formula>, %)</oasis:entry>
         <oasis:entry colname="col2"><inline-formula><mml:math id="M476" display="inline"><mml:mrow><mml:mn mathvariant="normal">14.7</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">2.8</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
       </oasis:row>
     </oasis:tbody>
   </oasis:tgroup></oasis:table><table-wrap-foot><p id="d2e6767"><sup>a</sup> Volume-Weighted Mean (VWM) of all sea-ice POC except newly formed ice, <sup>b</sup> Estimates from Komatsu et al. (2025), <sup>c</sup> <inline-formula><mml:math id="M451" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">ρ</mml:mi><mml:mi mathvariant="normal">i</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>  is the sea-ice density (0.90), <sup>d</sup> Parkinson (2019), <sup>e</sup> Estimated POC input in the study region, <sup>f</sup> Arrigo et al. (2008).</p></table-wrap-foot></table-wrap>

</sec>
</sec>
<sec id="Ch1.S4">
  <label>4</label><title>Discussion</title>
<sec id="Ch1.S4.SS1">
  <label>4.1</label><title>Spatial and temporal variabilities of sea-ice particulate organic matter</title>
      <p id="d2e7198">Sea ice salinity, excluding newly formed ice, was negatively correlated with the days since sea-ice formation: DSF; this is likely due to desalination associated with surface melting and brine discharge during summer, as well as snow accumulation (Eicken, 1992). Conversely, POC, PN, and Chl <inline-formula><mml:math id="M477" display="inline"><mml:mi>a</mml:mi></mml:math></inline-formula> concentrations gradually decreased as DSF increased (Fig. 6), although there is diversity among sea-ice samples. Our sea ice was collected during the summer season (December to February) when primary productivity is generally in a declining phase (net heterotrophy), as indicated by a decrease in total organic carbon (Dalman et al., 2025). In multi-year ice, nitrate concentration is much lower than first-year ice (Henley et al., 2023). In such environment, algal accumulation is slow, for the dissolution of diatom frustules (Si(OH)<sub>4</sub> accumulation) surpassed the consumption by diatoms (Sahashi et al., 2022). There was a weak but significant positive correlation between POC <inline-formula><mml:math id="M479" display="inline"><mml:mo>:</mml:mo></mml:math></inline-formula> Chl <inline-formula><mml:math id="M480" display="inline"><mml:mi>a</mml:mi></mml:math></inline-formula> and DSF, suggesting that in older (high DSF) samples, sea ice algae were at the senescent stage.</p>
      <p id="d2e7231">In accord with the previous studies, POC <inline-formula><mml:math id="M481" display="inline"><mml:mo>:</mml:mo></mml:math></inline-formula> PN ratio was generally higher than that in seawater and the median for Antarctic sea ice is around 10 (Dalman et al., 2025). This is partly owing to ice algae which have high <inline-formula><mml:math id="M482" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">C</mml:mi><mml:mo>:</mml:mo><mml:mi mathvariant="normal">N</mml:mi></mml:mrow></mml:math></inline-formula> ratio even in nutrient-replete condition (Gleitz and Thomas, 1993). Under nutrient (NO<inline-formula><mml:math id="M483" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">3</mml:mn><mml:mo>-</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula>) limitation, POC <inline-formula><mml:math id="M484" display="inline"><mml:mo>:</mml:mo></mml:math></inline-formula> PN could increase to <inline-formula><mml:math id="M485" display="inline"><mml:mrow><mml:mo>&gt;</mml:mo><mml:mn mathvariant="normal">20</mml:mn></mml:mrow></mml:math></inline-formula> (McMinn et al., 1999) and it is more pronounced in productive spring season (Roukaerts et al., 2016; Dalman et al., 2025). EPS are rich in carbon and may accumulate in older sea ice as suggested by comparison of FYI and MYI (Meiners et al., 2003). Although there was no significant relationship between DSF and POC <inline-formula><mml:math id="M486" display="inline"><mml:mo>:</mml:mo></mml:math></inline-formula> PN (Spearman's rank correlation test, <inline-formula><mml:math id="M487" display="inline"><mml:mrow><mml:mi>p</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">0.49</mml:mn></mml:mrow></mml:math></inline-formula>), inferring the combination of nutrient status and EPS affected our results.</p>

      <fig id="F6" specific-use="star"><label>Figure 6</label><caption><p id="d2e7304">Relationships between the days since sea-ice formation (DSF) at each station and the concentrations of POC <bold>(a)</bold>, PN <bold>(b)</bold>, Chl <inline-formula><mml:math id="M488" display="inline"><mml:mi>a</mml:mi></mml:math></inline-formula> <bold>(c)</bold> of sea ice. The Spearman's rank correlation coefficient and <inline-formula><mml:math id="M489" display="inline"><mml:mi>p</mml:mi></mml:math></inline-formula> values are shown in the top left.</p></caption>
          <graphic xlink:href="https://bg.copernicus.org/articles/23/7505/2026/bg-23-7505-2026-f06.png"/>

        </fig>

      <p id="d2e7337">The maximum Chl <inline-formula><mml:math id="M490" display="inline"><mml:mi>a</mml:mi></mml:math></inline-formula> concentration in newly formed ice in the Southern Ocean is 260.0 <inline-formula><mml:math id="M491" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi><mml:mi mathvariant="normal">g</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">L</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> (Ito et al., 2025), while the Chl <inline-formula><mml:math id="M492" display="inline"><mml:mi>a</mml:mi></mml:math></inline-formula> and POC concentrations in this study were 0.2–4.0 and 246.1–1354.0 <inline-formula><mml:math id="M493" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi><mml:mi mathvariant="normal">g</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">L</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>, respectively (Fig. 3b, c). Therefore, the samples in this study were considered to have formed without active frazil ice production or phytoplankton blooms (Ito et al., 2025; Takahashi et al., 2025). Despite the low Chl <inline-formula><mml:math id="M494" display="inline"><mml:mi>a</mml:mi></mml:math></inline-formula> concentration, the newly formed ice exhibited high average POC <inline-formula><mml:math id="M495" display="inline"><mml:mo>:</mml:mo></mml:math></inline-formula> PN and POC <inline-formula><mml:math id="M496" display="inline"><mml:mo>:</mml:mo></mml:math></inline-formula> Chl <inline-formula><mml:math id="M497" display="inline"><mml:mi>a</mml:mi></mml:math></inline-formula> ratios, which were significantly higher than those of some FYI/OI samples, such as those in SC (Fig. 3e, h). This difference is likely due to differences in ice-algal composition and the selective accumulation of organic matter during sea-ice formation and growth. The newly formed ice sample from St. S138, which had the highest POC <inline-formula><mml:math id="M498" display="inline"><mml:mo>:</mml:mo></mml:math></inline-formula> Chl <inline-formula><mml:math id="M499" display="inline"><mml:mi>a</mml:mi></mml:math></inline-formula> ratio, was dominated by nanoflagellates (Takahashi et al., 2025). The POC <inline-formula><mml:math id="M500" display="inline"><mml:mo>:</mml:mo></mml:math></inline-formula> Chl <inline-formula><mml:math id="M501" display="inline"><mml:mi>a</mml:mi></mml:math></inline-formula> ratio for <italic>Phaeocystis antarctica</italic>, the predominant nanoflagellate in the Southern Ocean, ranges from 41 to 284 (Arrigo et al., 2010), and this is significantly higher than that for diatoms (approximately 37, Whitaker, 1977). In East Antarctic sea ice, diatoms dominate over nanoflagellates as the sea ice grows (Takahashi et al., 2025), suggesting that differences in algal composition contribute to the relatively high POC <inline-formula><mml:math id="M502" display="inline"><mml:mo>:</mml:mo></mml:math></inline-formula> Chl <inline-formula><mml:math id="M503" display="inline"><mml:mi>a</mml:mi></mml:math></inline-formula> ratio in newly formed ice than older ice. Another process that influences the POC <inline-formula><mml:math id="M504" display="inline"><mml:mo>:</mml:mo></mml:math></inline-formula> Chl <inline-formula><mml:math id="M505" display="inline"><mml:mi>a</mml:mi></mml:math></inline-formula> ratio is the selective incorporation of particulates during sea ice formation (Gradinger and Ikävalko, 1998; Janssens et al., 2016; Takahashi et al., 2025). Since POC incorporation into sea ice is higher than PN and small (<inline-formula><mml:math id="M506" display="inline"><mml:mrow><mml:mo>&lt;</mml:mo><mml:mn mathvariant="normal">10</mml:mn></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M507" 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>) algal cells (Janssens et al., 2016), the dominance of small nanoflagellates in seawater (St. S138, Takahashi et al., 2025) could enhance POC <inline-formula><mml:math id="M508" display="inline"><mml:mo>:</mml:mo></mml:math></inline-formula> PN and POC <inline-formula><mml:math id="M509" display="inline"><mml:mo>:</mml:mo></mml:math></inline-formula> Chl <inline-formula><mml:math id="M510" display="inline"><mml:mi>a</mml:mi></mml:math></inline-formula> ratios in newly formed ice.</p>
</sec>
<sec id="Ch1.S4.SS2">
  <label>4.2</label><title>Driving factors of carbon and nitrogen isotope ratios in sea ice</title>
      <p id="d2e7531">The <inline-formula><mml:math id="M511" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">13</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula> of POC was <inline-formula><mml:math id="M512" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">24.6</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">3.2</mml:mn></mml:mrow></mml:math></inline-formula> ‰ for all sea ice samples, which was higher than the previously reported <inline-formula><mml:math id="M513" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">13</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula> of surface seawater in the SIZ (<inline-formula><mml:math id="M514" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">31</mml:mn></mml:mrow></mml:math></inline-formula> ‰ to <inline-formula><mml:math id="M515" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">24</mml:mn></mml:mrow></mml:math></inline-formula> ‰, Espinasse et al., 2019). The <inline-formula><mml:math id="M516" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">15</mml:mn></mml:msup><mml:mi mathvariant="normal">N</mml:mi></mml:mrow></mml:math></inline-formula> of sea-ice PN (<inline-formula><mml:math id="M517" display="inline"><mml:mrow><mml:mn mathvariant="normal">1.5</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">2.2</mml:mn></mml:mrow></mml:math></inline-formula> ‰) was also generally higher than summer seawater (<inline-formula><mml:math id="M518" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">5</mml:mn></mml:mrow></mml:math></inline-formula> ‰ to <inline-formula><mml:math id="M519" display="inline"><mml:mrow><mml:mo>+</mml:mo><mml:mn mathvariant="normal">7</mml:mn></mml:mrow></mml:math></inline-formula> ‰, Espinasse et al., 2019). Although spatiotemporally limited, our <inline-formula><mml:math id="M520" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">13</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M521" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">15</mml:mn></mml:msup><mml:mi mathvariant="normal">N</mml:mi></mml:mrow></mml:math></inline-formula> of surface seawater obtained in January was lower than those of sea ice (<inline-formula><mml:math id="M522" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">29</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">1.0</mml:mn></mml:mrow></mml:math></inline-formula> ‰ for <inline-formula><mml:math id="M523" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">13</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M524" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">0.5</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">1.3</mml:mn></mml:mrow></mml:math></inline-formula> ‰ for <inline-formula><mml:math id="M525" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">15</mml:mn></mml:msup><mml:mi mathvariant="normal">N</mml:mi></mml:mrow></mml:math></inline-formula>). The small variability in isotope ratios in seawater is likely owing to the narrower ranges of sampling region (50–64° S) and periods (January) compared to the previous data sets conducted in 37–70° S during June and May over several years (Espinasse et al., 2019). The isotope ratios of sea ice remained within the range previously reported for Antarctic sea ice (Rau et al., 1991; Kennedy et al., 2002; Munro et al., 2010). The stable isotope ratios of POC, in particular, varied across the observed regions, likely due to differences in sea ice organic matter and nutrient concentrations among regions (Fig. 3). This section discusses drivers of stable isotope ratios in the context of sea-ice biogeochemical parameters.</p>
      <p id="d2e7721">Microalgae incorporate <sup>13</sup>C when CO<sub>2</sub> becomes limiting; hence, <inline-formula><mml:math id="M528" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">13</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula> of POM in sea-ice could increase under closed conditions and high algal CO<sub>2</sub> demand (i.e., when high ice-algal biomass is reached) (Kennedy et al., 2002). According to Nomura et al. (2023), the brine volume fraction in brash ice is 16.2 %. Since this exceeds the threshold for gas permeability to the atmosphere (5 %; Golden et al., 1998), <inline-formula><mml:math id="M530" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">13</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula> values could be distinct from those of more intact ice floes. However, our samples showed a significant positive correlation between sea-ice POC and <inline-formula><mml:math id="M531" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">13</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula>, and high <inline-formula><mml:math id="M532" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">13</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula> values (<inline-formula><mml:math id="M533" display="inline"><mml:mrow><mml:mo>&gt;</mml:mo><mml:mo>-</mml:mo><mml:mn mathvariant="normal">20</mml:mn></mml:mrow></mml:math></inline-formula> ‰) were limited to high POC concentration (<inline-formula><mml:math id="M534" display="inline"><mml:mrow><mml:mo>&gt;</mml:mo><mml:mn mathvariant="normal">2000</mml:mn></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M535" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi><mml:mi mathvariant="normal">g</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">L</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>), generally consistent with the previous sea-ice core observations (Kennedy et al., 2002; Munro et al., 2010) (Fig. 7). Three possible reasons for the similar isotope ratios between brash ice and ice floes are as follows: (1) brash ice reflects the history of the ice floes before they are broken, (2) there is limited exchange between sea ice and the atmosphere at the microscale, and (3) dilution of brine DIC by surface melting of brash ice. For reason 1, although there are no direct measurements of productivity in brash ice, reports indicate net heterotrophic activity in late-summer (February) sea ice (Dalman et al., 2025). Thus, the isotope ratios during earlier periods (i.e., when sea ice was not broken into brash ice) may have been recorded in our brash sea ice samples. According to the field observation in spring Antarctic sea ice, <inline-formula><mml:math id="M536" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">13</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula> increases with algal accumulation in the very surface layer of sea ice (5 cm inside sea ice from ice–water interface, McMinn et al., 1999), which could be the reason 2). For the reason 3, <inline-formula><mml:math id="M537" display="inline"><mml:mi>p</mml:mi></mml:math></inline-formula>CO<sub>2</sub> in sea ice declines with increasing brine volume fraction (Nomura et al., 2010; Geilfus et al., 2014; van der Linden et al., 2020). As pack ice breaks up into smaller pieces, it warms by approaching the temperature of seawater. As brine salinity decreases and DIC dilution in the brine progresses, CO<sub>2</sub> can become rate-limiting in brash ice (Nomura et al., 2010). However, the brine salinity of brash ice derived from ice temperature is <inline-formula><mml:math id="M540" display="inline"><mml:mrow><mml:mn mathvariant="normal">27.6</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">4.8</mml:mn></mml:mrow></mml:math></inline-formula> (Nomura et al., 2023; Vancoppenolle et al., 2019), indicating the dilution effect is not significant to determine brash ice <inline-formula><mml:math id="M541" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">13</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula>.</p>

      <fig id="F7"><label>Figure 7</label><caption><p id="d2e7911">Relationships of <inline-formula><mml:math id="M542" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">13</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula> and POC concentration <bold>(a)</bold>, <inline-formula><mml:math id="M543" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">13</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula> and Si(OH)<sub>4</sub> <inline-formula><mml:math id="M545" display="inline"><mml:mo>:</mml:mo></mml:math></inline-formula> NO<inline-formula><mml:math id="M546" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">3</mml:mn><mml:mo>-</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula> <bold>(b)</bold>, <inline-formula><mml:math id="M547" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">15</mml:mn></mml:msup><mml:mi mathvariant="normal">N</mml:mi></mml:mrow></mml:math></inline-formula> and *NO<inline-formula><mml:math id="M548" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">3</mml:mn><mml:mo>-</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula> concentration <bold>(c)</bold>, and <inline-formula><mml:math id="M549" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">15</mml:mn></mml:msup><mml:mi mathvariant="normal">N</mml:mi></mml:mrow></mml:math></inline-formula> and POC <inline-formula><mml:math id="M550" display="inline"><mml:mo>:</mml:mo></mml:math></inline-formula> Chl <inline-formula><mml:math id="M551" display="inline"><mml:mi>a</mml:mi></mml:math></inline-formula> <bold>(d)</bold>. The grey triangles and circles are derived from sea-ice data of Kennedy et al. (2002) and Munro et al. (2010), respectively. The data points of Munro et al. (2010) were constructed with a permission by AGU Publications. The Spearman's rank correlation coefficient and p-values are shown in the bottom or top right. Only the data from the present study are used to calculate the correlation coefficients.</p></caption>
          <graphic xlink:href="https://bg.copernicus.org/articles/23/7505/2026/bg-23-7505-2026-f07.png"/>

        </fig>

      <p id="d2e8041">Within sea ice, PO<inline-formula><mml:math id="M552" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">4</mml:mn><mml:mrow><mml:mn mathvariant="normal">3</mml:mn><mml:mo>-</mml:mo></mml:mrow></mml:msubsup></mml:mrow></mml:math></inline-formula> is regenerated alongside diatom proliferation, resulting in extremely low summer <inline-formula><mml:math id="M553" display="inline"><mml:mrow class="chem"><mml:msubsup><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">3</mml:mn><mml:mo>-</mml:mo></mml:msubsup><mml:mo>:</mml:mo><mml:msubsup><mml:mi mathvariant="normal">PO</mml:mi><mml:mn mathvariant="normal">4</mml:mn><mml:mrow><mml:mn mathvariant="normal">3</mml:mn><mml:mo>-</mml:mo></mml:mrow></mml:msubsup></mml:mrow></mml:math></inline-formula> ratios (Fripiat et al., 2017; Takahashi et al., 2022; Nomura et al., 2023). Due to PO<inline-formula><mml:math id="M554" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">4</mml:mn><mml:mrow><mml:mn mathvariant="normal">3</mml:mn><mml:mo>-</mml:mo></mml:mrow></mml:msubsup></mml:mrow></mml:math></inline-formula> regeneration, a negative correlation exists between ice-algal biomass, in particular diatoms, and <inline-formula><mml:math id="M555" display="inline"><mml:mrow class="chem"><mml:msubsup><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">3</mml:mn><mml:mo>-</mml:mo></mml:msubsup><mml:mo>:</mml:mo><mml:msubsup><mml:mi mathvariant="normal">PO</mml:mi><mml:mn mathvariant="normal">4</mml:mn><mml:mrow><mml:mn mathvariant="normal">3</mml:mn><mml:mo>-</mml:mo></mml:mrow></mml:msubsup></mml:mrow></mml:math></inline-formula> ratios in brash ice (Takahashi et al., 2022). In this study, a negative correlation between <inline-formula><mml:math id="M556" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">13</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M557" display="inline"><mml:mrow class="chem"><mml:msubsup><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">3</mml:mn><mml:mo>-</mml:mo></mml:msubsup><mml:mo>:</mml:mo><mml:msubsup><mml:mi mathvariant="normal">PO</mml:mi><mml:mn mathvariant="normal">4</mml:mn><mml:mrow><mml:mn mathvariant="normal">3</mml:mn><mml:mo>-</mml:mo></mml:mrow></mml:msubsup></mml:mrow></mml:math></inline-formula> was observed, suggesting that diatoms contributed to the <inline-formula><mml:math id="M558" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">13</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula> increase. Furthermore, previous microscopic observations of East Antarctic sea ice have confirmed that diatoms dominate during late spring and summer (Meiners et al., 2011; Takahashi et al., 2022, 2023, 2025). On the other hand, the negative correlation between <inline-formula><mml:math id="M559" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">13</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula> and Si(OH)<sub>4</sub> <inline-formula><mml:math id="M561" display="inline"><mml:mo>:</mml:mo></mml:math></inline-formula> NO<inline-formula><mml:math id="M562" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">3</mml:mn><mml:mo>-</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula> suggests that different diatom species in sea ice may exhibit distinct <sup>13</sup>C isotope fractionation (Burkhardt et al., 1999). Fischer (1991) investigated the surface POC <inline-formula><mml:math id="M564" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">13</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula> distribution in the Scotia Sea and reported a positive correlation between the particulate <inline-formula><mml:math id="M565" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">Si</mml:mi><mml:mo>:</mml:mo><mml:mi mathvariant="normal">N</mml:mi></mml:mrow></mml:math></inline-formula> ratio and <inline-formula><mml:math id="M566" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">13</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula>. Diatoms have different silica requirements depending on the species. For example, the Si(OH)<sub>4</sub> half-saturation constant of <italic>Corethron pennatum</italic> is more than ten times that of small diatoms (Sommer and Stabel, 1986). Large diatoms with high particulate <inline-formula><mml:math id="M568" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">Si</mml:mi><mml:mo>:</mml:mo><mml:mi mathvariant="normal">N</mml:mi></mml:mrow></mml:math></inline-formula> ratios (i.e., those that induce low Si(OH)<sub>4</sub> <inline-formula><mml:math id="M570" display="inline"><mml:mo>:</mml:mo></mml:math></inline-formula> NO<inline-formula><mml:math id="M571" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">3</mml:mn><mml:mo>-</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula>) incorporate relatively little <sup>13</sup>C (Burkhardt et al., 1999; Fischer, 1991), suggesting that differences in diatom taxa within sea ice may be reflected in the variation of <inline-formula><mml:math id="M573" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">13</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula> values. However, the correlation coefficient between <inline-formula><mml:math id="M574" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">13</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula> and Si(OH)<sub>4</sub> <inline-formula><mml:math id="M576" display="inline"><mml:mo>:</mml:mo></mml:math></inline-formula> NO<inline-formula><mml:math id="M577" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">3</mml:mn><mml:mo>-</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula> (<inline-formula><mml:math id="M578" display="inline"><mml:mrow><mml:mi>r</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">0.46</mml:mn></mml:mrow></mml:math></inline-formula>) is lower than those with POC, PN, or Chl <inline-formula><mml:math id="M579" display="inline"><mml:mi>a</mml:mi></mml:math></inline-formula> concentrations (<inline-formula><mml:math id="M580" display="inline"><mml:mrow><mml:mi>r</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">0.60</mml:mn></mml:mrow></mml:math></inline-formula>–0.69), suggesting a smaller effect on the increase in <inline-formula><mml:math id="M581" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">13</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula> than algal accumulation.</p>
      <p id="d2e8427">According to studies on the stable isotope ratios of POM in seawater, nitrogen nutrient utilization reflects variations in PN <inline-formula><mml:math id="M582" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">15</mml:mn></mml:msup><mml:mi mathvariant="normal">N</mml:mi></mml:mrow></mml:math></inline-formula> (Saino and Hattori, 1980). Nomura et al. (2023) reported that despite brash ice having high permeability and exchange with seawater (<inline-formula><mml:math id="M583" display="inline"><mml:mrow><mml:mo>&gt;</mml:mo><mml:mn mathvariant="normal">5</mml:mn></mml:mrow></mml:math></inline-formula> % brine volume fraction), the biological activity in sea ice influences the nutrient concentration. In this study, PO<inline-formula><mml:math id="M584" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">4</mml:mn><mml:mrow><mml:mn mathvariant="normal">3</mml:mn><mml:mo>-</mml:mo></mml:mrow></mml:msubsup></mml:mrow></mml:math></inline-formula> was highly enriched in sea ice, while Si(OH)<sub>4</sub>, known for its slow decomposition rate, was lower than in seawater (Fig. 2e, f). Due to these characteristics, even brash ice subject to melting has a distinct nutrient status within the ice compared to seawater, which likely contributed to the observed <inline-formula><mml:math id="M586" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">15</mml:mn></mml:msup><mml:mi mathvariant="normal">N</mml:mi></mml:mrow></mml:math></inline-formula> values. In this study, <inline-formula><mml:math id="M587" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">15</mml:mn></mml:msup><mml:mi mathvariant="normal">N</mml:mi></mml:mrow></mml:math></inline-formula> showed a negative correlation with *NO<inline-formula><mml:math id="M588" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">3</mml:mn><mml:mo>-</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula>, suggesting that nitrogen consumption contributed to the high isotope ratio. Diatoms selectively incorporate <sup>14</sup>N (Wada and Hattori, 1978), hence, in a closed system where NO<inline-formula><mml:math id="M590" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">3</mml:mn><mml:mo>-</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula> is actively consumed, the <inline-formula><mml:math id="M591" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">15</mml:mn></mml:msup><mml:mi mathvariant="normal">N</mml:mi></mml:mrow></mml:math></inline-formula> of remaining (unconsumed) NO<inline-formula><mml:math id="M592" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">3</mml:mn><mml:mo>-</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula> increases (Wu et al., 1997). The uptake of NO<inline-formula><mml:math id="M593" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">3</mml:mn><mml:mo>-</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula> is supported by the negative correlations between POC, PN, and Chl <inline-formula><mml:math id="M594" display="inline"><mml:mi>a</mml:mi></mml:math></inline-formula> concentrations and *NO<inline-formula><mml:math id="M595" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">3</mml:mn><mml:mo>-</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula> (Fig. 5).</p>
      <p id="d2e8594">Conversely, it is known that <inline-formula><mml:math id="M596" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">15</mml:mn></mml:msup><mml:mi mathvariant="normal">N</mml:mi></mml:mrow></mml:math></inline-formula> values of PN or dissolved inorganic nitrogen also change during organic matter decomposition and nitrification (oxidation from NH<inline-formula><mml:math id="M597" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">4</mml:mn><mml:mo>+</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula> to oxidized nitrogen species) (Saino and Hattori, 1980). The POC <inline-formula><mml:math id="M598" display="inline"><mml:mo>:</mml:mo></mml:math></inline-formula> Chl <inline-formula><mml:math id="M599" display="inline"><mml:mi>a</mml:mi></mml:math></inline-formula> ratio in this study showed a negative correlation with <inline-formula><mml:math id="M600" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">15</mml:mn></mml:msup><mml:mi mathvariant="normal">N</mml:mi></mml:mrow></mml:math></inline-formula>. An increase in the POC <inline-formula><mml:math id="M601" display="inline"><mml:mo>:</mml:mo></mml:math></inline-formula> Chl <inline-formula><mml:math id="M602" display="inline"><mml:mi>a</mml:mi></mml:math></inline-formula> ratio is linked to NH<inline-formula><mml:math id="M603" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">4</mml:mn><mml:mo>+</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula> accumulation from predation and excretion by heterotrophic organisms (Schnack-Schiel et al., 2004) and remineralization of particulate organic matter (Roukaerts et al., 2021). Although <inline-formula><mml:math id="M604" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">15</mml:mn></mml:msup><mml:mi mathvariant="normal">N</mml:mi></mml:mrow></mml:math></inline-formula> decreases during the oxidation of NH<inline-formula><mml:math id="M605" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">4</mml:mn><mml:mo>+</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula> to NO<inline-formula><mml:math id="M606" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn><mml:mo>-</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula> through the fractionation by nitrifying bacteria, <sup>15</sup>N accumulates in NO<inline-formula><mml:math id="M608" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">3</mml:mn><mml:mo>-</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula> during the subsequent oxidation of NO<inline-formula><mml:math id="M609" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn><mml:mo>-</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula> to NO<inline-formula><mml:math id="M610" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">3</mml:mn><mml:mo>-</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula> (Casciotti et al., 2003, Casciotti, 2009). Therefore, NO<inline-formula><mml:math id="M611" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">3</mml:mn><mml:mo>-</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula> produced by nitrification is considered to have <inline-formula><mml:math id="M612" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">15</mml:mn></mml:msup><mml:mi mathvariant="normal">N</mml:mi></mml:mrow></mml:math></inline-formula> values similar to or lower than those of NH<inline-formula><mml:math id="M613" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">4</mml:mn><mml:mo>+</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula> produced by decomposition (i.e., NH<inline-formula><mml:math id="M614" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">4</mml:mn><mml:mo>+</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula> before its nitrification) (Henley et al., 2018). On the other hand, when algae directly assimilate NH<inline-formula><mml:math id="M615" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">4</mml:mn><mml:mo>+</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula>, the <inline-formula><mml:math id="M616" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">15</mml:mn></mml:msup><mml:mi mathvariant="normal">N</mml:mi></mml:mrow></mml:math></inline-formula> of PN decreases due to the lower fractionation factor, <inline-formula><mml:math id="M617" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">25</mml:mn></mml:mrow></mml:math></inline-formula> ‰ and <inline-formula><mml:math id="M618" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">15</mml:mn></mml:mrow></mml:math></inline-formula> ‰ (negative values indicate greater incorporation of <sup>14</sup>N into the algae) than nitrification (Waser et al., 1998). The nitrification rate in sea ice is known to correlate positively with Chl <inline-formula><mml:math id="M620" display="inline"><mml:mi>a</mml:mi></mml:math></inline-formula> concentration (Priscu et al., 1990). In this study, POC <inline-formula><mml:math id="M621" display="inline"><mml:mo>:</mml:mo></mml:math></inline-formula> Chl <inline-formula><mml:math id="M622" display="inline"><mml:mi>a</mml:mi></mml:math></inline-formula> was negatively correlated with Chl <inline-formula><mml:math id="M623" display="inline"><mml:mi>a</mml:mi></mml:math></inline-formula> concentration (Fig. 5a). That is, higher POC <inline-formula><mml:math id="M624" display="inline"><mml:mo>:</mml:mo></mml:math></inline-formula> Chl <inline-formula><mml:math id="M625" display="inline"><mml:mi>a</mml:mi></mml:math></inline-formula> ratios in sea ice may have been associated with reduced nitrification activity. The negative correlation between POC <inline-formula><mml:math id="M626" display="inline"><mml:mo>:</mml:mo></mml:math></inline-formula> Chl <inline-formula><mml:math id="M627" display="inline"><mml:mi>a</mml:mi></mml:math></inline-formula> ratio and <inline-formula><mml:math id="M628" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">15</mml:mn></mml:msup><mml:mi mathvariant="normal">N</mml:mi></mml:mrow></mml:math></inline-formula> (Fig. 7d) suggests that even if NH<inline-formula><mml:math id="M629" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">4</mml:mn><mml:mo>+</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula> may be re-mineralized due to the shift from autotrophy to heterotrophy, direct NH<inline-formula><mml:math id="M630" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">4</mml:mn><mml:mo>+</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula> utilization by ice algae likely outweighed assimilation after nitrification of NH<inline-formula><mml:math id="M631" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">4</mml:mn><mml:mo>+</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula> (conversion of NH<inline-formula><mml:math id="M632" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">4</mml:mn><mml:mo>+</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula> to NO<inline-formula><mml:math id="M633" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">3</mml:mn><mml:mo>-</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula>) and resulted in low PN <inline-formula><mml:math id="M634" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">15</mml:mn></mml:msup><mml:mi mathvariant="normal">N</mml:mi></mml:mrow></mml:math></inline-formula>. This hypothesis is supported by observations showing relatively high NH<inline-formula><mml:math id="M635" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">4</mml:mn><mml:mo>+</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula> uptake rates in the upper layer of Antarctic drift ice, where the POC <inline-formula><mml:math id="M636" display="inline"><mml:mo>:</mml:mo></mml:math></inline-formula> Chl <inline-formula><mml:math id="M637" display="inline"><mml:mi>a</mml:mi></mml:math></inline-formula> ratio is higher than that in the interior or bottom sections of sea ice (Roukaerts et al., 2016).</p>
</sec>
<sec id="Ch1.S4.SS3">
  <label>4.3</label><title>Contribution of ice algae on particulate organic carbon in sea ice</title>
      <p id="d2e9043">The POC <inline-formula><mml:math id="M638" display="inline"><mml:mo>:</mml:mo></mml:math></inline-formula> Chl <inline-formula><mml:math id="M639" display="inline"><mml:mi>a</mml:mi></mml:math></inline-formula> ratio varied significantly across regions, seasons, and sea-ice types (FY/OI and newly formed ice). This result indicates that carbon sources other than ice algae are also important for the POC consumed by pelagic heterotrophs in the water column during sea ice melt. The relationship between POC and Chl <inline-formula><mml:math id="M640" display="inline"><mml:mi>a</mml:mi></mml:math></inline-formula> concentrations (Fig. 2c) showed that sea ice with high C<sub>algae</sub> contributions (sample plots above the IAC <inline-formula><mml:math id="M642" display="inline"><mml:mo>:</mml:mo></mml:math></inline-formula> Chl <inline-formula><mml:math id="M643" display="inline"><mml:mi>a</mml:mi></mml:math></inline-formula> <inline-formula><mml:math id="M644" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> 54.4 line) was most common in sea ice with low to moderate Chl <inline-formula><mml:math id="M645" display="inline"><mml:mi>a</mml:mi></mml:math></inline-formula> concentrations (<inline-formula><mml:math id="M646" display="inline"><mml:mrow><mml:mo>&lt;</mml:mo><mml:mn mathvariant="normal">30</mml:mn></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M647" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi><mml:mi mathvariant="normal">g</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">L</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>); this aligns with previous reports that ice algae contribute most of the carbon in sea ice with extremely high Chl <inline-formula><mml:math id="M648" display="inline"><mml:mi>a</mml:mi></mml:math></inline-formula> concentrations (Takahashi et al., 2023). The POC <inline-formula><mml:math id="M649" display="inline"><mml:mo>:</mml:mo></mml:math></inline-formula> Chl <inline-formula><mml:math id="M650" display="inline"><mml:mi>a</mml:mi></mml:math></inline-formula> ratio showed a tendency to increase from December to February, and the POC <inline-formula><mml:math id="M651" display="inline"><mml:mo>:</mml:mo></mml:math></inline-formula> Chl <inline-formula><mml:math id="M652" display="inline"><mml:mi>a</mml:mi></mml:math></inline-formula> ratio was found to have a significant positive correlation with days since formation (DSF). These findings indicate that from early to late summer, older sea ice contributes to a greater proportion of non-algal-derived POC.</p>
      <p id="d2e9170">Although the types of non-algal-derived POC were not identified, one possibility is the presence of extracellular polymeric substances (EPS) or detritus within ice (Dumont et al., 2009). Studies examining temporal changes in sea-ice EPS and Chl <inline-formula><mml:math id="M653" display="inline"><mml:mi>a</mml:mi></mml:math></inline-formula> concentrations have reported that EPS tends to remain within the ice longer than Chl <inline-formula><mml:math id="M654" display="inline"><mml:mi>a</mml:mi></mml:math></inline-formula> during the melting season (Riedel et al., 2008). In general, EPS forms biofilms that cause ice algae and bacteria to attach within brine pockets, preventing particulate matter from following brine dynamics (i.e., salinity decreases during melting). In this study, although a weak positive correlation existed between Chl <inline-formula><mml:math id="M655" display="inline"><mml:mi>a</mml:mi></mml:math></inline-formula> concentration and salinity, POC and PN showed no relationship with salinity. Therefore, in older sea ice, some portions of ice algae (Chl <inline-formula><mml:math id="M656" display="inline"><mml:mi>a</mml:mi></mml:math></inline-formula>) may have been released through brine expulsion, whereas POC likely remained on the ice. The negative correlation between the POC <inline-formula><mml:math id="M657" display="inline"><mml:mo>:</mml:mo></mml:math></inline-formula> Chl <inline-formula><mml:math id="M658" display="inline"><mml:mi>a</mml:mi></mml:math></inline-formula> ratio and Chl <inline-formula><mml:math id="M659" display="inline"><mml:mi>a</mml:mi></mml:math></inline-formula> concentration supports the notion that Chl <inline-formula><mml:math id="M660" display="inline"><mml:mi>a</mml:mi></mml:math></inline-formula> is more readily decomposed or removed from sea ice than POC or PN.</p>
</sec>
<sec id="Ch1.S4.SS4">
  <label>4.4</label><title>Potential impact of ice particulate organic matter during the melting season</title>
      <p id="d2e9238">Based on the measured sea ice POC concentrations and sea ice melt fluxes, the impact of sea ice-derived carbon on marine zooplankton as a food resource during the melt season was estimated (Table 2). When combined with primary production after ice retreat, POC from sea ice accounted for <inline-formula><mml:math id="M661" display="inline"><mml:mrow><mml:mn mathvariant="normal">14.7</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">2.8</mml:mn></mml:mrow></mml:math></inline-formula> % of primary production in the MIZ of the studied sector. It should be noted that since POC concentrations in sea ice during October–November – before the observation period of this study – were not included, calculations solely using summer sea-ice data may have resulted in an overestimation of the POC supply. This is primarily due to seasonal accumulation of organic carbon from September to February in Antarctic sea ice (Dalman et al., 2025). Nevertheless, according to satellite-based estimates by Bocquet et al. (2024), approximately 85 % of sea-ice melt (sea-ice volume reduction) occurs between December and February. Therefore, even if we excluded the POC supply from October to November, the summer POC from melted sea ice is equivalent to 12.5 % of production in the MIZ. It should be acknowledged that these estimates are averaged ones and the spatial or temporal differences are expected owing to variations in ice melt thickness (0.2–1.6 m, Komatsu et al., 2025), sea-ice POC concentration (Fig. 3c), and primary production in the MIZ (21.4–37.2 <inline-formula><mml:math id="M662" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">Tg</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">yr</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>, Arrigo et al., 2008).</p>
      <p id="d2e9270">The previous estimate of POC supply from sea ice was 0.253 <inline-formula><mml:math id="M663" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">Tg</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mi mathvariant="normal">C</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">yr</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> in the Weddell Sea (60° W–30° E), calculated from sea ice extent and POC concentrations converted from sea-ice Chl <inline-formula><mml:math id="M664" display="inline"><mml:mi>a</mml:mi></mml:math></inline-formula> (Ackley et al., 1979). When estimated per unit area, this corresponds to 35.6 <inline-formula><mml:math id="M665" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">mg</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:msup><mml:mi mathvariant="normal">yr</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>, which is significantly lower than our estimate of 839.3 <inline-formula><mml:math id="M666" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">mg</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:msup><mml:mi mathvariant="normal">yr</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> (Table 2). This difference may be attributed to the conservative assumptions used by Ackley et al. (1979), who averaged the low sea-ice Chl <inline-formula><mml:math id="M667" display="inline"><mml:mi>a</mml:mi></mml:math></inline-formula> concentration (1.2 <inline-formula><mml:math id="M668" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">mg</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:mrow></mml:math></inline-formula>) over February and March. However, recent reports found an average sea-ice Chl <inline-formula><mml:math id="M669" display="inline"><mml:mi>a</mml:mi></mml:math></inline-formula> concentration of 6.4 <inline-formula><mml:math id="M670" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">mg</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:mrow></mml:math></inline-formula> across the Antarctic SIZ, which increases to 12.8 <inline-formula><mml:math id="M671" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">mg</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:mrow></mml:math></inline-formula> during February to March (Meiners et al., 2012). It should also be noted that the POC <inline-formula><mml:math id="M672" display="inline"><mml:mo>:</mml:mo></mml:math></inline-formula> Chl <inline-formula><mml:math id="M673" display="inline"><mml:mi>a</mml:mi></mml:math></inline-formula> ratio was 37 in the previous estimate, which is close to the lower limit observed during ice algal blooms (Whitaker, 1977). The POC <inline-formula><mml:math id="M674" display="inline"><mml:mo>:</mml:mo></mml:math></inline-formula> Chl <inline-formula><mml:math id="M675" display="inline"><mml:mi>a</mml:mi></mml:math></inline-formula> ratio can exceed 100 in spring sea ice (Roukaerts et al., 2016), and the median FYI/OI in this study was 170. If we use our Chl<sub>VWM</sub> value and POC <inline-formula><mml:math id="M677" display="inline"><mml:mo>:</mml:mo></mml:math></inline-formula> Chl <inline-formula><mml:math id="M678" display="inline"><mml:mi>a</mml:mi></mml:math></inline-formula> ratio (37) used in Ackley et al. (1979), the POC<sub>Input</sub> was estimated to be 338.6 <inline-formula><mml:math id="M680" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">mg</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 width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">yr</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>. The input of ice-algal carbon (IAC<sub>Input</sub>) using Chl<sub>VWM</sub> and IAC <inline-formula><mml:math id="M683" display="inline"><mml:mo>:</mml:mo></mml:math></inline-formula> Chl <inline-formula><mml:math id="M684" display="inline"><mml:mi>a</mml:mi></mml:math></inline-formula> was <inline-formula><mml:math id="M685" display="inline"><mml:mrow><mml:mn mathvariant="normal">674.6</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">242.5</mml:mn></mml:mrow></mml:math></inline-formula> (297.4–839.2) <inline-formula><mml:math id="M686" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">mg</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:msup><mml:mi mathvariant="normal">yr</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> and our most conservative estimate was greater than that by Ackley et al. (1979), suggesting a significant underestimation caused by the measured sea-ice Chl <inline-formula><mml:math id="M687" display="inline"><mml:mi>a</mml:mi></mml:math></inline-formula> concentrations and the conversion factor from Chl <inline-formula><mml:math id="M688" display="inline"><mml:mi>a</mml:mi></mml:math></inline-formula> to POC. Given the differences between these assumptions, the POC supply from sea ice is one to two orders of magnitude higher than that estimated by Ackley et al. (1979), which is closer to our estimate.</p>
      <p id="d2e9591">Finally, we discuss the impact of POC supply from sea ice on the carbon content in the water column from the perspective of primary consumers. Antarctic filter-feeding euphausiids have been reported to consume ice algae which constitute 5 %–36 % (11 % on average) of the carbon in their diet in the summer MIZ (Kohlbach et al., 2019). Although it remains unknown if all sea-ice derived POM are consumed or settle to the depth or remineralized in the water column, our estimate (<inline-formula><mml:math id="M689" display="inline"><mml:mrow><mml:mo>&gt;</mml:mo><mml:mn mathvariant="normal">14</mml:mn></mml:mrow></mml:math></inline-formula> % of MIZ production), which was temporally integrated, fell within this range, yet. In this study, the POC <inline-formula><mml:math id="M690" display="inline"><mml:mo>:</mml:mo></mml:math></inline-formula> PN ratio was <inline-formula><mml:math id="M691" display="inline"><mml:mo>&gt;</mml:mo></mml:math></inline-formula>10 on average, indicating lower food quality than phytoplankton (surface seawater POM, <inline-formula><mml:math id="M692" display="inline"><mml:mrow><mml:mn mathvariant="normal">5.2</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.5</mml:mn></mml:mrow></mml:math></inline-formula> POC <inline-formula><mml:math id="M693" display="inline"><mml:mo>:</mml:mo></mml:math></inline-formula> PN ratio in this study). It should be noted, however, that surface seawater POC <inline-formula><mml:math id="M694" display="inline"><mml:mo>:</mml:mo></mml:math></inline-formula> PN ratios in this study are conservative values for they were determined in the most productive season (Janurary), when POC <inline-formula><mml:math id="M695" display="inline"><mml:mo>:</mml:mo></mml:math></inline-formula> PN usually reaches minimum during spring and autumn (Smith et al., 2000). Daase et al. (2011) found the growth time and body size during the nauplius stage were equivalent to those when fed high-quality (low POC <inline-formula><mml:math id="M696" display="inline"><mml:mo>:</mml:mo></mml:math></inline-formula> PN ratio) food (Daase et al., 2011). Therefore, POM from sea ice during the summer have a potential to support the growth of zooplankton larvae (such as copepod nauplii) and needs to be tested by grazer's isotopic signatures.</p>
</sec>
</sec>
<sec id="Ch1.S5" sec-type="conclusions">
  <label>5</label><title>Conclusions</title>
      <p id="d2e9669">This study is the first to reveal the isotopic signatures of POM in brash sea ice and its distribution across an extensive SIZ in the Southern Ocean. When averaged for all POM data, no significant differences in sea-ice <inline-formula><mml:math id="M697" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">13</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M698" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">15</mml:mn></mml:msup><mml:mi mathvariant="normal">N</mml:mi></mml:mrow></mml:math></inline-formula> were observed during summer. This finding suggests that the isotope ratios obtained in this study can aid estimating the food webs in the summer MIZ from previously accumulated zooplankton isotope ratio datasets (e.g., Liu and Zhou, 2025). While particulate accumulation (POM and Chl <inline-formula><mml:math id="M699" display="inline"><mml:mi>a</mml:mi></mml:math></inline-formula> concentrations) primarily contributed to variations in isotope ratios, nutrient uptake by ice algae also influenced them. This implies that changes in ice-algal species composition associated with variations in East Antarctic sea ice (e.g., ice thickness and snow accumulation) may alter sea-ice isotope ratios. The POC <inline-formula><mml:math id="M700" display="inline"><mml:mo>:</mml:mo></mml:math></inline-formula> Chl <inline-formula><mml:math id="M701" display="inline"><mml:mi>a</mml:mi></mml:math></inline-formula> ratio and POC concentration in sea ice showed correlations with the DSF, indicating that the quantity or quality of POM and the subsequent supply from ice also may change with sea ice age and drift. Furthermore, we estimated the carbon supply from sea ice to be <inline-formula><mml:math id="M702" display="inline"><mml:mrow><mml:mn mathvariant="normal">4.1</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.3</mml:mn></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M703" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">Tg</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mi mathvariant="normal">C</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">yr</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>, equivalent to <inline-formula><mml:math id="M704" display="inline"><mml:mrow><mml:mn mathvariant="normal">14.7</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">2.8</mml:mn></mml:mrow></mml:math></inline-formula> % of primary production in the MIZ. Because this carbon includes contributions from sources other than ice algae themselves (40.7 % on average), it is necessary to investigate the composition of these carbon sources (lipids, EPS, etc.) and their contributions within the food web in detail.</p>
</sec>

      
      </body>
    <back><notes notes-type="dataavailability"><title>Data availability</title>

      <p id="d2e9768">The physico-chemical and biological data of sea ice (<ext-link xlink:href="https://doi.org/10.17592/001.2026050701" ext-link-type="DOI">10.17592/001.2026050701</ext-link>; Takahashi et al., 2026) and sea-ice motion data (<ext-link xlink:href="https://doi.org/10.17592/001.2025112601" ext-link-type="DOI">10.17592/001.2025112601</ext-link>; Kimura and Sugimura, 2013) are archived in the Arctic and Antarctic Data Archive System (ADS) managed by National Institute of Polar Research, Japan.</p>
  </notes><app-group>
        <supplementary-material position="anchor"><p id="d2e9777">The supplement related to this article is available online at <inline-supplementary-material xlink:href="https://doi.org/10.5194/bg-23-7505-2026-supplement" xlink:title="pdf">https://doi.org/10.5194/bg-23-7505-2026-supplement</inline-supplementary-material>.</p></supplementary-material>
        </app-group><notes notes-type="authorcontribution"><title>Author contributions</title>

      <p id="d2e9786">Conceptualization: RM, KDT; Investigation: KDT, RM, MS, KN, NK, DN, MYK, RM, NN, MI, ST, NMH, AT, NK, TT, KIO, KM, SA, MM; Formal analysis: KDT, RM, MS, KN, NK, DN, MYK, RM, NN, MI, ST, NMH, AT, NK, MK; Funding acquisition: KDT, RM, MI, NK, TT, MK, KIO, SA, MM; Writing – original draft: KDT, RM; Writing – review &amp; editing: All authors.</p>
  </notes><notes notes-type="competinginterests"><title>Competing interests</title>

      <p id="d2e9792">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="d2e9798">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="d2e9804">We thank the captain, crew and members onboard the T/V <italic>Umitaka-maru</italic>, R/V <italic>Hakuho-maru</italic>, and ice breaker <italic>Shirase</italic> for their support during the cruises. Our appreciation goes to Tsuneo Odate for his supports on the Antarctic research expeditions. The data points from Fig. 7c were obtained and modified from Munro et al. (2010) with a permission by AGU Publications, John Wiley and Sons. An open AI tool was used to assist the translation and preparation for the first manuscript. We wish to thank anonymous reviewers and the associate editor, Yuan Shen, who provided comments to improve our manuscript.</p></ack><notes notes-type="financialsupport"><title>Financial support</title>

      <p id="d2e9818">This research has been supported by the Japan Society for the Promotion of Science (grant nos. 16101001, 17H06317, 17H06319, 20H04313, 24H00759, 20H05707, 21J14914, 22H05003, 24KJ0006, and 24K17997), the Japan Science and Technology Agency, Core Research for Evolutional Science and Technology (grant no. JPMJCR23J5), National Institute of Polar Research (grant nos. KP-308, AP-0923, AP-0939, AJ-0902, and AJ-1003), the University of Tokyo (grant nos. JURCAOSKAV19-57, JURCAOSKAV20-56, JURCAOSKAV22-50, and JURCAOSKAV23-48), and the grant for Joint Research Program of the Institute of Low Temperature Science, Hokkaido University (grant nos. 22S012, 23S017, 24S015, and 25S010), and ANID ANILLO ATE250008 and FONDECYT (POSTDOCTORADO 3260313).</p>
  </notes><notes notes-type="reviewstatement"><title>Review statement</title>

      <p id="d2e9824">This paper was edited by Yuan Shen and reviewed by Ashok Jagtap and one anonymous referee.</p>
  </notes><ref-list>
    <title>References</title>

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