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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">20240601</article-id>

      <article-categories>
        <subj-group subj-group-type="toc-heading" xml:lang="en">
          <subject>Analysis of observations and methods of calculating Hydrophysical fields in the ocean</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">Investigation of the Relationship between Partial Pressure of Carbon Dioxide and Sea Surface Temperature in the Cyclic Seasonal Variations in the Black Sea</article-title>
      </title-group>

      <contrib-group>
        <contrib contrib-type="author">
          <contrib-id contrib-id-type="orcid">https://orcid.org/0000-0003-4910-3935</contrib-id>
          <contrib-id contrib-id-type="researcherid">L-4569-2016</contrib-id>
          <name>
            <surname>Sergeev</surname>
            <given-names>D. A.</given-names>
          </name>
          <address>
            <country country="RU">Russian Federation</country>
          </address>
          <email>daniil@ipfran.ru</email>
          <xref ref-type="aff" rid="aff1"/>
          <xref ref-type="aff" rid="aff2"/>
        </contrib>
        <contrib contrib-type="author">
          <contrib-id contrib-id-type="orcid">https://orcid.org/0000-0002-1387-970X</contrib-id>
          <contrib-id contrib-id-type="researcherid">F-1352-2015</contrib-id>
          <name>
            <surname>Troitskaya</surname>
            <given-names>Yu. I.</given-names>
          </name>
          <address>
            <country country="RU">Russian Federation</country>
          </address>
          <email>yuliya@ipfran.ru</email>
          <xref ref-type="aff" rid="aff1"/>
        </contrib>
        <contrib contrib-type="author">
          <contrib-id contrib-id-type="orcid">https://orcid.org/0000-0003-0687-4000</contrib-id>
          <contrib-id contrib-id-type="researcherid">D-3643-2015</contrib-id>
          <name>
            <surname>Ermakova</surname>
            <given-names>O. S.</given-names>
          </name>
          <address>
            <country country="RU">Russian Federation</country>
          </address>
          <email>o.s.ermakova@mail.ru</email>
          <xref ref-type="aff" rid="aff1"/>
        </contrib>
        <contrib contrib-type="author">
          <contrib-id contrib-id-type="orcid">https://orcid.org/0000-0002-1387-970X</contrib-id>
          <contrib-id contrib-id-type="researcherid">I-1755-2017</contrib-id>
          <name>
            <surname>Orekhova</surname>
            <given-names>N. A.</given-names>
          </name>
          <address>
            <country country="RU">Russian Federation</country>
          </address>
          <email>natalia.orekhova@mhi-ras.ru</email>
          <xref ref-type="aff" rid="aff3"/>
        </contrib>
      </contrib-group>

      <aff id="aff1">
        <institution>Federal Research Center A. V. Gaponov-Grekhov Institute of Applied Physics of RAS</institution>
        <addr-line>Nizhny Novgorod</addr-line>
        <country country="RU">Russia</country>
      </aff>

      <aff id="aff2">
        <institution>Lobachevsky State University of Nizhny Novgorod</institution>
        <addr-line>Nizhny Novgorod</addr-line>
        <country country="RU">Russia</country>
      </aff>

      <aff id="aff3">
        <institution>Marine Hydrophysical Institute of RAS</institution>
        <addr-line>Sevastopol</addr-line>
        <country country="RU">Russia</country>
      </aff>

      <pub-date date-type="pub" iso-8601-date="2024-12-31" publication-format="electronic">
        <day>31</day>
        <month>12</month>
        <year>2024</year>
      </pub-date>
      <volume>31</volume>
      <issue>6</issue>
      <fpage>757</fpage>
      <lpage>771</lpage>

      <history>
        <date date-type="received" iso-8601-date="2024-06-14">
          <day>14</day>
          <month>06</month>
          <year>2024</year>
        </date>
        <date date-type="rev-recd" iso-8601-date="2024-07-09">
          <day>09</day>
          <month>07</month>
          <year>2024</year>
        </date>
        <date date-type="accepted" iso-8601-date="2024-09-12">
          <day>12</day>
          <month>09</month>
          <year>2024</year>
        </date>
      </history>

      <permissions>
        <copyright-statement xml:lang="en">Copyright ©; 2024, D. A. Sergeev, Yu. I. Troitskaya, O. S. Ermakova, N. A. Orekhova</copyright-statement>
        <copyright-year>2024</copyright-year>
        <copyright-holder xml:lang="en">D. A. Sergeev, Yu. I. Troitskaya, O. S. Ermakova, N. A. Orekhova</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/2024/06/01/" xlink:title="Article page">https://physical-oceanography.ru/repository/issues/2024/06/01/</self-uri>

      <abstract xml:lang="en">
        <p><bold>Purpose.</bold> The purpose of the study consists in describing the parameterization based on the field data, which take into account the relationship between the variability of <italic>p</italic>CO<sub>2</sub> <sub>sw</sub> and the state of the surface water layer, depending on the sea surface temperature and allowing for geographical location and seasonality at the example of the Black Sea.</p>
        <p><bold>Methods and Results.</bold> The main seasonal trends of changes in <italic>p</italic>CO<sub>2</sub> related to the variations in sea surface temperature are proposed based on special processing of direct measurement data on <italic>p</italic>CO<sub>2</sub> of the surface layer obtained in the cruises of R/V <italic>Professor Vodyanitsky</italic> in 2015–2023 and at the stationary observation point of the Black Sea Hydrophysical Subsatellite Polygon (BSHSP), Katsiveli, in 2012–2022. The basic approach consists in describing the variations in <italic>p</italic>CO<sub>2</sub> <sub>sw</sub> distribution over the sea surface using the linear approximations (trends) for three fixed seasons represented by four months (January – April, May – August and September – December) in each of the grid cells. It is shown that both in the coastal zone and in the open sea, the hysteresis dependences of <italic>p</italic>CO<sub>2</sub> upon the sea surface temperature are manifested: the ratios of partial pressure and temperature during the periods of spring warming and autumn cooling are different. The reason for the observed hysteresis is related to a shift of the <italic>p</italic>CO<sub>2</sub> <sub>sw</sub> fluctuation phase and a temperature change of about 1.5–2 months.</p>
        <p><bold>Conclusions.</bold> The dependence of <italic>p</italic>CO<sub>2</sub> upon the sea surface temperature in an autumn-winter period turns out to be close to the dependences typical for the oceanic conditions in mid latitudes of the Northern Hemisphere (the Atlantic and Pacific oceans). This can indicate the universal mechanisms of influence of the sea surface temperature (SST) upon <italic>p</italic>CO<sub>2</sub> <sub>sw</sub> both for the local conditions in the Black Sea and for the open ocean during a certain seasonal period. Besides, such a similarity of dependences can mean that, most likely, SST directly conditions a value of <italic>p</italic>CO<sub>2</sub> <sub>sw</sub>, whereas biological activity is not a determining factor. The obtained results can be used for describing and studying the variations of the CO<sub>2</sub> sea – air fluxes in the Black Sea.</p>
      </abstract>

      <kwd-group>
        <kwd><italic>p</italic>CO<sub>2</sub></kwd>
        <kwd>sea surface temperature</kwd>
        <kwd>Black Sea</kwd>
      </kwd-group>

      <funding-group>
        <funding-statement xml:lang="en">The study was carried out with financial support from grant No. 169-15-2023-002 (dated 01.03.2023) provided by the Federal Service for Hydrometeorology and Environmental Monitoring and within the framework of state assignment of FSBSI FRC MHI FNNN-2022-0002 on the theme "Monitoring of the carbonate system, CO<sub>2</sub> content and fluxes in the marine environment of the Black and Azov seas". The data were analyzed and compared to the open ocean data with the support of the RSF project No. 24-17-00299.</funding-statement>
      </funding-group>
    </article-meta>
  </front>

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