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  <front>
    <journal-meta>
      <journal-id journal-id-type="publisher-id">Physical Oceanography</journal-id>
      <journal-title-group>
        <journal-title xml:lang="en">Physical Oceanography</journal-title>
      </journal-title-group>
      <issn publication-format="print">1573-160X</issn>
    </journal-meta>
    <article-meta>
      <article-id pub-id-type="publisher-id">20260209</article-id>
      
      <article-categories>
        <subj-group subj-group-type="toc-heading" xml:lang="en">
          <subject>Mathematical modeling of marine systems</subject>
        </subj-group>
        <subj-group subj-group-type="article-type">
          <subject>Research Article</subject>
        </subj-group>
      </article-categories>

      <title-group>
        <article-title xml:lang="en">Assimilation of Ice Concentration Data through a Strongly Coupled Regime in the Arctic Ocean Model</article-title>
      </title-group>

      <contrib-group>
        <contrib contrib-type="author">
          <contrib-id contrib-id-type="orcid">https://orcid.org/0000-0002-0921-3630</contrib-id>
          <contrib-id contrib-id-type="researcherid">S-1416-2016</contrib-id>
          <contrib-id contrib-id-type="scopus-author-id">57190488613</contrib-id>
          <contrib-id contrib-id-type="spin">8374-6238</contrib-id>
          <name>
            <surname>Kaurkin</surname>
            <given-names>M. N.</given-names>
          </name>
          <address>
            <country country="RU">Russian Federation</country>
          </address>
          <email>kaurkin.mn@ocean.ru</email>
          <xref ref-type="aff" rid="aff1"/>
        </contrib>
        <contrib contrib-type="author">
          <contrib-id contrib-id-type="orcid">https://orcid.org/0009-0005-4023-2257</contrib-id>
          <contrib-id contrib-id-type="scopus-author-id">57219609143</contrib-id>
          <name>
            <surname>Kalnitskii</surname>
            <given-names>L. Yu.</given-names>
          </name>
          <address>
            <country country="RU">Russian Federation</country>
          </address>
          <email>leonid.kalnitsckij@yandex.ru</email>
          <xref ref-type="aff" rid="aff1"/>
        </contrib>
        <contrib contrib-type="author">
          <contrib-id contrib-id-type="orcid">https://orcid.org/0000-0002-8454-9927</contrib-id>
          <contrib-id contrib-id-type="researcherid">U-6185-2017</contrib-id>
          <contrib-id contrib-id-type="scopus-author-id">55015342700</contrib-id>
          <contrib-id contrib-id-type="spin">6997-1295</contrib-id>
          <name>
            <surname>Ushakov</surname>
            <given-names>K. V.</given-names>
          </name>
          <address>
            <country country="RU">Russian Federation</country>
          </address>
          <email>ushakovkv@mail.ru</email>
          <xref ref-type="aff" rid="aff1"/>
        </contrib>
        <contrib contrib-type="author">
          <contrib-id contrib-id-type="orcid">https://orcid.org/0000-0002-9099-4541</contrib-id>
          <contrib-id contrib-id-type="researcherid">S-6750-2016</contrib-id>
          <contrib-id contrib-id-type="scopus-author-id">6602387822</contrib-id>
          <contrib-id contrib-id-type="spin">9003-9192</contrib-id>
          <name>
            <surname>Ibrayev</surname>
            <given-names>R. A.</given-names>
          </name>
          <address>
            <country country="RU">Russian Federation</country>
          </address>
          <email>ibrayev@mail.ru</email>
          <xref ref-type="aff" rid="aff1"/>
          <xref ref-type="aff" rid="aff2"/>
        </contrib>
      </contrib-group>

      <aff id="aff1">
        <institution>Shirshov Institute of Oceanology, Russian Academy of Sciences</institution>
        <addr-line>36 Nakhimovsky Ave.</addr-line>
        <city>Moscow</city>
        <country country="RU">Russian Federation</country>
      </aff>

      <aff id="aff2">
        <institution>Marchuk Institute of Numerical Mathematics, Russian Academy of Sciences</institution>
        <addr-line>8 Gubkina Str.</addr-line>
        <city>Moscow</city>
        <country country="RU">Russian Federation</country>
      </aff>

      <pub-date date-type="pub" iso-8601-date="2026-04-28" publication-format="electronic">
        <day>28</day>
        <month>04</month>
        <year>2026</year>
      </pub-date>
      <volume>33</volume>
      <issue>2</issue>
      <fpage>352</fpage>
      <lpage>365</lpage>

      <history>
        <date date-type="received" iso-8601-date="2025-10-23">
          <day>23</day>
          <month>10</month>
          <year>2025</year>
        </date>
        <date date-type="rev-recd" iso-8601-date="2025-10-29">
          <day>29</day>
          <month>10</month>
          <year>2025</year>
        </date>
        <date date-type="accepted" iso-8601-date="2026-01-28">
          <day>28</day>
          <month>01</month>
          <year>2026</year>
        </date>
      </history>

      <permissions>
        <copyright-statement xml:lang="en">Copyright ©; 2026, M. N. Kaurkin, L. Yu. Kalnitskii, K. V. Ushakov, R. A. Ibrayev</copyright-statement>
        <copyright-year>2026</copyright-year>
        <copyright-holder xml:lang="en">M. N. Kaurkin, L. Yu. Kalnitskii, K. V. Ushakov, R. A. Ibrayev</copyright-holder>
        <ali:free_to_read xmlns:ali="http://www.niso.org/schemas/ali/1.0/"/>
        <license>
          <ali:license_ref xmlns:ali="http://www.niso.org/schemas/ali/1.0/">https://creativecommons.org/licenses/by-nc/4.0/</ali:license_ref>
        </license>
      </permissions>

      <self-uri xlink:href="https://physical-oceanography.ru/repository/issues/2026/02/09/" xlink:title="Article page">https://physical-oceanography.ru/repository/issues/2026/02/09/</self-uri>

      <abstract xml:lang="en">
        <p><bold>Purpose.</bold> The purpose of this study is to develop and implement a strongly coupled approach to the assimilation of available observational data in a coupled ocean-sea ice circulation model, and to test it for the Arctic region.</p>
        <p><bold>Methods and Results.</bold> In the coupled INMIO (ocean) and CICE 5.1 (ice) model at 0.25° resolution, the data were assimilated using the Compact Modeling Framework (CMF3.0) platform with the DAS (Data Assimilation Service) software based on the EnOI (Ensemble Optimal Interpolation) method. A strongly coupled assimilation approach was applied. This approach involves simultaneous adjustment of the fields of water temperature, salinity, sea level, and ice concentration using observational data (ARGO profiles, AVISO satellite altimetry, and OSI SAF ice concentration). A specialized interface was developed to redistribute the integrated ice concentration among the ice thickness categories. Numerical experiments with and without data assimilation were performed for 2020. It is shown that data assimilation through a strongly coupled regime reduces the average error in reproducing the ice area from 27 to 7% as compared to the NSIDC data. The standard error of ocean surface water temperature is reduced to 1.0 °C, and that of ice concentration in the edge area to 0.2. The model fields correspond better to the independent OSTIA data.</p>
        <p><bold>Conclusions.</bold> The developed approach to the strongly coupled assimilation of oceanic and ice data in the coupled ocean-ice model provides a significant increase in the accuracy of forecasting the condition both of the water and the ice field in the Arctic Ocean. The software can be adapted to other models.</p>
      </abstract>

      <kwd-group>
        <kwd>computer modeling</kwd>
        <kwd>numerical modeling</kwd>
        <kwd>data assimilation</kwd>
        <kwd>ocean dynamics model</kwd>
        <kwd>ocean-ice model</kwd>
        <kwd>parallel computing</kwd>
        <kwd>Arctic region</kwd>
        <kwd>sea ice cover</kwd>
      </kwd-group>

      <funding-group>
        <funding-statement xml:lang="en">The study was carried out at the Shirshov Institute of Oceanology, Russian Academy of Sciences, with financial support of the Russian Science Foundation (grant No. 25-27-00400).</funding-statement>
      </funding-group>
    </article-meta>
  </front>

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