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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-23-3591-2026</article-id><title-group><article-title>Factors controlling dissolved <sup>137</sup>Cs activities in Matsukawa-ura lagoon, a semi-closed estuary, after the Fukushima accident</article-title><alt-title>Factors controlling dissolved <sup>137</sup>Cs activities after the Fukushima accident</alt-title>
      </title-group>
      <contrib-group>
        <contrib contrib-type="author" corresp="yes" rid="aff1 aff2">
          <name><surname>Niida</surname><given-names>Takuya</given-names></name>
          <email>niida_takuya@kanso.co.jp</email>
        <ext-link>https://orcid.org/0009-0003-9695-7236</ext-link></contrib>
        <contrib contrib-type="author" corresp="no" rid="aff3">
          <name><surname>Takata</surname><given-names>Hyoe</given-names></name>
          
        <ext-link>https://orcid.org/0000-0002-3338-1589</ext-link></contrib>
        <contrib contrib-type="author" corresp="no" rid="aff4">
          <name><surname>Watanabe</surname><given-names>Sho</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff2">
          <name><surname>Namura</surname><given-names>Shinya</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff3">
          <name><surname>Wada</surname><given-names>Toshihiro</given-names></name>
          
        </contrib>
        <aff id="aff1"><label>1</label><institution>Graduate School of Symbiotic Systems Science and Technology, Fukushima University, 1 Kanayagawa, Fukushima City, Fukushima 960-1296, Japan</institution>
        </aff>
        <aff id="aff2"><label>2</label><institution>Laboratory for Instrumentation and Analysis, Environmental Engineering Division, KANSO TECHNOS CO., LTD, 3-1-1, Higashikuraji, Katano City, Osaka 576-0061, Japan</institution>
        </aff>
        <aff id="aff3"><label>3</label><institution>Institute of Environmental Radioactivity, Fukushima University, 1 Kanayagawa, Fukushima City, Fukushima 960-1296, Japan</institution>
        </aff>
        <aff id="aff4"><label>4</label><institution>Fukushima Prefectural Research Institute of Fisheries Resources, 1-1-14 Koyo, Soma City, Fukushima 970-0005, Japan</institution>
        </aff>
      </contrib-group>
      <author-notes><corresp id="corr1">Takuya Niida (niida_takuya@kanso.co.jp)</corresp></author-notes><pub-date><day>26</day><month>May</month><year>2026</year></pub-date>
      
      <volume>23</volume>
      <issue>10</issue>
      <fpage>3591</fpage><lpage>3604</lpage>
      <history>
        <date date-type="received"><day>23</day><month>May</month><year>2025</year></date>
           <date date-type="rev-request"><day>26</day><month>June</month><year>2025</year></date>
           <date date-type="rev-recd"><day>19</day><month>January</month><year>2026</year></date>
           <date date-type="accepted"><day>31</day><month>March</month><year>2026</year></date>
      </history>
      <permissions>
        <copyright-statement>Copyright: © 2026 Takuya Niida 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/23/3591/2026/bg-23-3591-2026.html">This article is available from https://bg.copernicus.org/articles/23/3591/2026/bg-23-3591-2026.html</self-uri><self-uri xlink:href="https://bg.copernicus.org/articles/23/3591/2026/bg-23-3591-2026.pdf">The full text article is available as a PDF file from https://bg.copernicus.org/articles/23/3591/2026/bg-23-3591-2026.pdf</self-uri>
      <abstract><title>Abstract</title>

      <p id="d2e162">The spatial and seasonal dynamics of <inline-formula><mml:math id="M3" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">137</mml:mn></mml:msup><mml:mi mathvariant="normal">Cs</mml:mi></mml:mrow></mml:math></inline-formula> were investigated from 2021 to 2023 in Matsukawa-ura lagoon, a semi-closed estuarine area approximately 40 km north of the Fukushima Daiichi Nuclear Power Plant (FDNPP), Japan. The weighted mean dissolved <inline-formula><mml:math id="M4" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">137</mml:mn></mml:msup><mml:mi mathvariant="normal">Cs</mml:mi></mml:mrow></mml:math></inline-formula> concentrations in the lagoon ranged from 5.3 to 19 <inline-formula><mml:math id="M5" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">Bq</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">3</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>, which were 2.4–8.6 times higher than those in the surrounding coastal seawater and inflowing river waters. Furthermore, dissolved <inline-formula><mml:math id="M6" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">137</mml:mn></mml:msup><mml:mi mathvariant="normal">Cs</mml:mi></mml:mrow></mml:math></inline-formula> concentrations in the lagoon were higher in summer than in winter and showed a strong positive correlation with water temperature. Simplified box-model estimation indicates that continuous terrestrial input <inline-formula><mml:math id="M7" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">137</mml:mn></mml:msup><mml:mi mathvariant="normal">Cs</mml:mi></mml:mrow></mml:math></inline-formula> are unlikely to contribute to the spatiotemporal variability of dissolved <inline-formula><mml:math id="M8" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">137</mml:mn></mml:msup><mml:mi mathvariant="normal">Cs</mml:mi></mml:mrow></mml:math></inline-formula> concentrations in the lagoon. Instead <inline-formula><mml:math id="M9" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">137</mml:mn></mml:msup><mml:mi mathvariant="normal">Cs</mml:mi></mml:mrow></mml:math></inline-formula> deposited in bottom sediments during the early stages of the FDNPP accident is gradually released as pore waters are exposed to seawater entering the lagoon, thereby sustaining elevated dissolved <inline-formula><mml:math id="M10" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">137</mml:mn></mml:msup><mml:mi mathvariant="normal">Cs</mml:mi></mml:mrow></mml:math></inline-formula> concentrations. These results indicate that warmer summer conditions enhance the dissolution of <inline-formula><mml:math id="M11" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">137</mml:mn></mml:msup><mml:mi mathvariant="normal">Cs</mml:mi></mml:mrow></mml:math></inline-formula> from bottom sediments and highlight the importance of sediment–pore water processes in controlling <inline-formula><mml:math id="M12" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">137</mml:mn></mml:msup><mml:mi mathvariant="normal">Cs</mml:mi></mml:mrow></mml:math></inline-formula> dynamics in the coastal environments of Fukushima Prefecture.</p>
  </abstract>
    </article-meta>
  </front>
<body>
      

      
<sec id="Ch1.S1" sec-type="intro">
  <label>1</label><title>Introduction</title>
      <p id="d2e302">The Fukushima Dai-ichi Nuclear Power Plant (FDNPP) accident on 11 March 2011 released important amounts of radioactive Cs (<inline-formula><mml:math id="M13" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">134</mml:mn></mml:msup><mml:mi mathvariant="normal">Cs</mml:mi></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M14" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">137</mml:mn></mml:msup><mml:mi mathvariant="normal">Cs</mml:mi></mml:mrow></mml:math></inline-formula>) into the surrounding areas and the North Pacific. It is estimated that a total of 15–20 PBq of <inline-formula><mml:math id="M15" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">137</mml:mn></mml:msup><mml:mi mathvariant="normal">Cs</mml:mi></mml:mrow></mml:math></inline-formula> was released into the atmosphere between 12 March and 30 April 2011, with 10 %–40 % (2–6 PBq) estimated to have been deposited in eastern Japan (Aoyama et al., 2016). Currently, the dissolved <inline-formula><mml:math id="M16" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">137</mml:mn></mml:msup><mml:mi mathvariant="normal">Cs</mml:mi></mml:mrow></mml:math></inline-formula> activity concentration in seawater more than 30 km offshore Fukushima has returned to pre-accident levels (Kusakabe and Takata, 2020), whereas that in coastal waters of Fukushima Prefecture remains above pre-accident levels (Suzuki et al., 2022). Potential sources of dissolved <inline-formula><mml:math id="M17" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">137</mml:mn></mml:msup><mml:mi mathvariant="normal">Cs</mml:mi></mml:mrow></mml:math></inline-formula> in Fukushima coastal waters include direct inflow from the FDNPP, leaching from seabed sediments, and inflow from rivers. The completion of impermeable seaside wall in 2016 may have recently limited direct inflow from the FDNPP (Machida et al., 2019). Otosaka et al. (2020) estimated the dissolved <inline-formula><mml:math id="M18" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">137</mml:mn></mml:msup><mml:mi mathvariant="normal">Cs</mml:mi></mml:mrow></mml:math></inline-formula> concentrations in pore waters within bottom sediments to be 10–40 times higher than that in the overlying water (seawater approximately 60 cm above the seafloor), suggesting that the leaching of radioactive Cs from sediments to pore water is a <inline-formula><mml:math id="M19" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">137</mml:mn></mml:msup><mml:mi mathvariant="normal">Cs</mml:mi></mml:mrow></mml:math></inline-formula> source in coastal areas.</p>
      <p id="d2e390">Extensive studies of the riverine transport of <inline-formula><mml:math id="M20" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">137</mml:mn></mml:msup><mml:mi mathvariant="normal">Cs</mml:mi></mml:mrow></mml:math></inline-formula> from land to estuaries revealed that most of the <inline-formula><mml:math id="M21" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">137</mml:mn></mml:msup><mml:mi mathvariant="normal">Cs</mml:mi></mml:mrow></mml:math></inline-formula> transported from land to ocean is in the particulate phase (e.g., Nagao et al., 2013; Yamashiki et al., 2014; Niida et al., 2022). Although the proportion of dissolved <inline-formula><mml:math id="M22" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">137</mml:mn></mml:msup><mml:mi mathvariant="normal">Cs</mml:mi></mml:mrow></mml:math></inline-formula> supplied by rivers is extremely small, dissolved <inline-formula><mml:math id="M23" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">137</mml:mn></mml:msup><mml:mi mathvariant="normal">Cs</mml:mi></mml:mrow></mml:math></inline-formula> concentrations in the marine environment tend to be higher at near-shore sites (e.g., river mouths) than in offshore waters (Takata et al., 2020a). Accordingly, the supply from rivers to the marine environment is considered to increase dissolved <inline-formula><mml:math id="M24" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">137</mml:mn></mml:msup><mml:mi mathvariant="normal">Cs</mml:mi></mml:mrow></mml:math></inline-formula> concentrations. This supply is mainly regulated by water temperature and the competition between particulate-bound <inline-formula><mml:math id="M25" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">137</mml:mn></mml:msup><mml:mi mathvariant="normal">Cs</mml:mi></mml:mrow></mml:math></inline-formula> and ions in seawater, as described below.</p>
      <p id="d2e466">Recent studies in rivers suggested that the distribution coefficient between particulate-bound <inline-formula><mml:math id="M26" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">137</mml:mn></mml:msup><mml:mi mathvariant="normal">Cs</mml:mi></mml:mrow></mml:math></inline-formula> and dissolved <inline-formula><mml:math id="M27" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">137</mml:mn></mml:msup><mml:mi mathvariant="normal">Cs</mml:mi></mml:mrow></mml:math></inline-formula> decreases with increasing water temperature, making it easier for <inline-formula><mml:math id="M28" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">137</mml:mn></mml:msup><mml:mi mathvariant="normal">Cs</mml:mi></mml:mrow></mml:math></inline-formula> to be released from suspended particles in rivers during the warmer summer season (Igarashi et al., 2022; Tsuji et al., 2023). Furthermore, Machida et al. (2019) estimated the <inline-formula><mml:math id="M29" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">137</mml:mn></mml:msup><mml:mi mathvariant="normal">Cs</mml:mi></mml:mrow></mml:math></inline-formula> export from the harbor of the FDNPP and reported higher levels in summer than in winter, indicating that the dissolved <inline-formula><mml:math id="M30" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">137</mml:mn></mml:msup><mml:mi mathvariant="normal">Cs</mml:mi></mml:mrow></mml:math></inline-formula> concentrations in the harbor may be related to water temperature.</p>
      <p id="d2e529">Experiments reproducing the interaction between dissolved and particulate <inline-formula><mml:math id="M31" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">137</mml:mn></mml:msup><mml:mi mathvariant="normal">Cs</mml:mi></mml:mrow></mml:math></inline-formula> due to the flow of particulate-bound <inline-formula><mml:math id="M32" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">137</mml:mn></mml:msup><mml:mi mathvariant="normal">Cs</mml:mi></mml:mrow></mml:math></inline-formula> from rivers into the sea show that the distribution coefficient (<inline-formula><mml:math id="M33" display="inline"><mml:mrow><mml:msub><mml:mi>K</mml:mi><mml:mi mathvariant="normal">d</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>) between particulate-bound <inline-formula><mml:math id="M34" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">137</mml:mn></mml:msup><mml:mi mathvariant="normal">Cs</mml:mi></mml:mrow></mml:math></inline-formula> and dissolved <inline-formula><mml:math id="M35" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">137</mml:mn></mml:msup><mml:mi mathvariant="normal">Cs</mml:mi></mml:mrow></mml:math></inline-formula> decreases along a salinity gradient (Li et al., 1984; Turner, 1996). These results suggest that <inline-formula><mml:math id="M36" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">137</mml:mn></mml:msup><mml:mi mathvariant="normal">Cs</mml:mi></mml:mrow></mml:math></inline-formula><sup>+</sup> can be desorbed from the particles due to competition with ions such as K<sup>+</sup> and NH<inline-formula><mml:math id="M39" 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> (Takata et al., 2020b, 2021).</p>
      <p id="d2e634">The relationships between water temperature and dissolved <inline-formula><mml:math id="M40" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">137</mml:mn></mml:msup><mml:mi mathvariant="normal">Cs</mml:mi></mml:mrow></mml:math></inline-formula> concentrations in river water and between salinity and dissolved <inline-formula><mml:math id="M41" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">137</mml:mn></mml:msup><mml:mi mathvariant="normal">Cs</mml:mi></mml:mrow></mml:math></inline-formula> concentrations in seawater are often discussed (Takata et al., 2022; Tsuji et al., 2023), but those in estuarine areas have not been sufficiently addressed. One of the reasons for this is that the dissolved <inline-formula><mml:math id="M42" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">137</mml:mn></mml:msup><mml:mi mathvariant="normal">Cs</mml:mi></mml:mrow></mml:math></inline-formula> transported from land and leached from sediments is immediately diluted and dispersed into large amounts of seawater, making quantitative assessments challenging.</p>
      <p id="d2e673">This study focuses on Matsukawa-ura lagoon (Soma City, Fukushima Prefecture) and its inflowing rivers to discuss the supply of <inline-formula><mml:math id="M43" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">137</mml:mn></mml:msup><mml:mi mathvariant="normal">Cs</mml:mi></mml:mrow></mml:math></inline-formula> to the lagoon and the spatial and seasonal dynamics of <inline-formula><mml:math id="M44" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">137</mml:mn></mml:msup><mml:mi mathvariant="normal">Cs</mml:mi></mml:mrow></mml:math></inline-formula> within the lagoon. Matsukawa-ura lagoon is a semi-closed estuarine area approximately 40 km north of the FDNPP, providing an ideal area for estimating the flux of <inline-formula><mml:math id="M45" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">137</mml:mn></mml:msup><mml:mi mathvariant="normal">Cs</mml:mi></mml:mrow></mml:math></inline-formula> transported from rivers and desorbed from sediments. Additionally, the lagoon is only connected to the Pacific Ocean through a 100 m-wide mouth at its northmost point, facilitating the quantification of the mass balance of <inline-formula><mml:math id="M46" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">137</mml:mn></mml:msup><mml:mi mathvariant="normal">Cs</mml:mi></mml:mrow></mml:math></inline-formula> within the lagoon. Kambayashi et al. (2021) investigated the distribution of <inline-formula><mml:math id="M47" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">137</mml:mn></mml:msup><mml:mi mathvariant="normal">Cs</mml:mi></mml:mrow></mml:math></inline-formula> in Matsukawa-ura lagoon and the rivers flowing into the lagoon from 2014–2016 and calculated mass balance of <inline-formula><mml:math id="M48" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">137</mml:mn></mml:msup><mml:mi mathvariant="normal">Cs</mml:mi></mml:mrow></mml:math></inline-formula>, suggested that <inline-formula><mml:math id="M49" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">137</mml:mn></mml:msup><mml:mi mathvariant="normal">Cs</mml:mi></mml:mrow></mml:math></inline-formula> supplied from bottom sediments in the lagoon contribute greatly to the distribution of <inline-formula><mml:math id="M50" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">137</mml:mn></mml:msup><mml:mi mathvariant="normal">Cs</mml:mi></mml:mrow></mml:math></inline-formula> in the lagoon, with the flux supplied from bottom sediments being highest in summer. The aim of this study was to investigate the distribution of <inline-formula><mml:math id="M51" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">137</mml:mn></mml:msup><mml:mi mathvariant="normal">Cs</mml:mi></mml:mrow></mml:math></inline-formula> inputs, in turn allowing us to evaluate the contribution of <inline-formula><mml:math id="M52" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">137</mml:mn></mml:msup><mml:mi mathvariant="normal">Cs</mml:mi></mml:mrow></mml:math></inline-formula> supplied by rivers to estuarine areas, the relationships with salinity and water temperature, and the contribution and seasonality of <inline-formula><mml:math id="M53" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">137</mml:mn></mml:msup><mml:mi mathvariant="normal">Cs</mml:mi></mml:mrow></mml:math></inline-formula> dissolved from bottom sediments. Our results improve our understanding of radioactive contamination in aquatic habitats.</p>
</sec>
<sec id="Ch1.S2">
  <label>2</label><title>Material and methods</title>
<sec id="Ch1.S2.SS1">
  <label>2.1</label><title>Study area and sampling stations</title>
      <p id="d2e824">Matsukawa-ura lagoon is a semi-closed estuarine area with an area of 6.48 km<sup>2</sup> with fluctuating salinity and water temperature conditions (Wada et al., 2011; Noda et al., 2021). The lagoon has a shallow topography (mean 1.24 m depth) muddy sand bottom (Wada et al., 2011). Additionally, during the spring tide, about half the volume of seawater in the lagoon can be exchanged with Pacific Ocean water through the channel during a single tidal cycle because the maximum tidal amplitude is close to the mean depth of the lagoon (Kohata et al., 2003). The mean water temperature in the lagoon during 1991–2021 was 15.1 °C, with a maximum daily temperature of 28.5 °C and a minimum daily temperature of 4.5 °C (Fukushima Prefecture Webpage, 2024). Four rivers flow into Matsukawa-ura lagoon: Koizumi River (catchment area 17.8 km<sup>2</sup>), Uda River (100.6 km<sup>2</sup>), Ume River (10.7 km<sup>2</sup>), and Nikkeshi River (22.6 km<sup>2</sup>). According to the fourth aerial survey conducted by the Ministry of Education, Culture, Sports, Science and Technology, MEXT (November 2011), the mean inventory of <inline-formula><mml:math id="M59" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">137</mml:mn></mml:msup><mml:mi mathvariant="normal">Cs</mml:mi></mml:mrow></mml:math></inline-formula> deposited in the Koizumi, Uda, Ume, and Nikkeshi catchments were 70, 205, 70, and 93 <inline-formula><mml:math id="M60" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">kBq</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> respectively, with relatively higher concentrations observed in the forested areas of the upstream Uda catchment. The mean concentration of <inline-formula><mml:math id="M61" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">137</mml:mn></mml:msup><mml:mi mathvariant="normal">Cs</mml:mi></mml:mrow></mml:math></inline-formula> across the entire Matsukawa-ura catchment was 163 <inline-formula><mml:math id="M62" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">kBq</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> (Fig. 1a). Due to the impermeable bedrock in the midstream to upstream areas of the lagoon's watershed, it is considered that precipitation hardly infiltrates the underground, instead directly flowing into the rivers and delivering 52.1 % of the total precipitation runoff to the lagoon through the rivers (Kamo et al., 2014). Additionally, Arita et al. (2014) estimated the total accumulation of <inline-formula><mml:math id="M63" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">137</mml:mn></mml:msup><mml:mi mathvariant="normal">Cs</mml:mi></mml:mrow></mml:math></inline-formula> in surface sediments (0–20 cm depth) within the lagoon to be 220 GBq as of November 2013.</p>

      <fig id="F1" specific-use="star"><label>Figure 1</label><caption><p id="d2e945">Spatial distribution of the <sup>137</sup>Cs inventory in the study catchment <bold>(a)</bold> and sampling stations of Matsukawa-ura lagoon <bold>(b)</bold>. The spatial distribution of the <sup>137</sup>Cs inventory is based on the fourth airborne survey by Ministry of Education, Culture, Sports, Science and Technology (2011). The Voronoi cells were created based on the coordinates of Japan Meteorological Agency weather stations <bold>(a)</bold> and sampling stations <bold>(b)</bold>.</p></caption>
          <graphic xlink:href="https://bg.copernicus.org/articles/23/3591/2026/bg-23-3591-2026-f01.png"/>

        </fig>

      <p id="d2e985">In this study, we conducted 11 samplings from June 2021 to February 2023 at 13 sites including downstream sites in the four rivers, sites at the mouths of three rivers (Koizumi, Uda, and Ume Rivers), five sites within the lagoon (from the southeast to near the lagoon mouth in the north), and a site 800 m offshore along the outer coast of the lagoon (Fig. 1b). Detailed sampling locations and dates are provided in Table S1 in the Supplement. Table S1 presents estimated flow rates for each river on each sampling date, calculated based on the Voronoi diagram determined by the locations of Japan Meteorological Agency observation stations and assuming that 52.1 % of precipitation in the 30 d prior to each sampling date flows into the rivers and 3.9 % flow into the lagoon as submarine groundwater discharge, SGD (Kamo et al., 2014).</p>
</sec>
<sec id="Ch1.S2.SS2">
  <label>2.2</label><title>Sample processing and analysis</title>
      <p id="d2e996">At each sampling site, 30–40 L of river water or surface seawater were collected using 10 L polyethylene buckets. The collected water samples were transferred to 20 L polyethylene containers and brought to the laboratory. A portion of each sample was used to measure water temperature and electrical conductivity, from which salinity was calculated. On each sampling day, the water temperature in the lagoon was measured by using a chlorophyll turbidity sensor (ACLW2-CAD, JFE Advantech Co., Ltd, Hyogo, Japan) at the station WKO, where locate at mouth of the lagoon, at 10:00 JST. Additionally, we measured the water depth at the station WKO from 29 December 2021. Water samples were filtered using a 0.45 <inline-formula><mml:math id="M66" 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> membrane filter (047-MFPES045, AS ONE Corporation, Osaka, Japan), and approximately 20 L of the filtrate were stored for dissolved <inline-formula><mml:math id="M67" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">137</mml:mn></mml:msup><mml:mi mathvariant="normal">Cs</mml:mi></mml:mrow></mml:math></inline-formula> analysis. Additionally, 1–2 L of each sample were filtered through pre-weighed 0.4 <inline-formula><mml:math id="M68" 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> polycarbonate filters (16040004, ADVANTEC, Tokyo, Japan) to measure the suspended particle concentration (SPc; g m<sup>−3</sup>). The filters used for filtering 30–40 L of water were air-dried for about one week at 30 °C, then placed in 100 mL polyethylene containers for measurement of particle-bound <inline-formula><mml:math id="M70" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">137</mml:mn></mml:msup><mml:mi mathvariant="normal">Cs</mml:mi></mml:mrow></mml:math></inline-formula> concentration in suspended particles (<inline-formula><mml:math id="M71" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">137</mml:mn></mml:msup><mml:mi mathvariant="normal">Cs</mml:mi></mml:mrow></mml:math></inline-formula><sub>sp</sub>; Bq kg<sup>−1</sup>-dry), using a non-destructive gamma-ray spectrometer with a coaxial high-purity Ge detector (HPGe) (GEM40, SEIKO EG&amp;G, Tokyo, Japan). The results were then divided by SPc to calculate particulate <inline-formula><mml:math id="M74" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">137</mml:mn></mml:msup><mml:mi mathvariant="normal">Cs</mml:mi></mml:mrow></mml:math></inline-formula> concentration (<inline-formula><mml:math id="M75" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">137</mml:mn></mml:msup><mml:mi mathvariant="normal">Cs</mml:mi></mml:mrow></mml:math></inline-formula><sub>par</sub>; <inline-formula><mml:math id="M77" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">Bq</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">3</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>). The detection limits for <inline-formula><mml:math id="M78" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">137</mml:mn></mml:msup><mml:mi mathvariant="normal">Cs</mml:mi></mml:mrow></mml:math></inline-formula><sub>sp</sub> ranged from 4.5 to 1590 Bq kg<sup>−1</sup>-dry for measurement times of 80 000 to 300 000 s, respectively. The counting efficiencies of these HPGe semiconductor detectors were calibrated using volume standard sources (MX033U8PP, The Japan Radioisotope Association, Tokyo, Japan).</p>
      <p id="d2e1170">To analyze dissolved <inline-formula><mml:math id="M81" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">137</mml:mn></mml:msup><mml:mi mathvariant="normal">Cs</mml:mi></mml:mrow></mml:math></inline-formula> concentration (<inline-formula><mml:math id="M82" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">137</mml:mn></mml:msup><mml:mi mathvariant="normal">Cs</mml:mi></mml:mrow></mml:math></inline-formula><sub>dis</sub>; Bq m<sup>−3</sup>), we followed the method reported by Aoyama et al. (2013), summarized here. The filtrate stored for <inline-formula><mml:math id="M85" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">137</mml:mn></mml:msup><mml:mi mathvariant="normal">Cs</mml:mi></mml:mrow></mml:math></inline-formula><sub>dis</sub> analysis was adjusted to a pH of approximately 1.6 with 15 M HNO<sub>3</sub>. Then, 0.39 g of CsCl was added as a carrier and stirred for 2 h. Subsequently, Cs was coprecipitated with 6 g of ammonium phosphomolybdate (AMP, KANSO TECHNOS Co., LTD, Osaka, Japan). The <inline-formula><mml:math id="M88" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">137</mml:mn></mml:msup><mml:mi mathvariant="normal">Cs</mml:mi></mml:mrow></mml:math></inline-formula> concentration present as an impurity in the AMP was 0.05 MBq g<sup>−1</sup>-AMP. The Cs-AMP precipitate was left overnight to settle, then filtered using a paper filter with a pore size of 1 <inline-formula><mml:math id="M90" 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>. After air-drying the filter for about one week at 30 °C, the precipitation was enclosed in a 10 mL Teflon container, and its weight yield was determined gravimetrically. Yields exceeded 90 % for all samples. The Cs-AMP compounds enclosed in the Teflon containers were measured using a non-destructive gamma-ray spectrometer with a well-type high-purity Ge detector (GWL-90-15, SEIKO EG&amp;G, Tokyo, Japan), and the result was reported as <inline-formula><mml:math id="M91" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">137</mml:mn></mml:msup><mml:mi mathvariant="normal">Cs</mml:mi></mml:mrow></mml:math></inline-formula><sub>dis</sub>. The detection limit for <inline-formula><mml:math id="M93" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">137</mml:mn></mml:msup><mml:mi mathvariant="normal">Cs</mml:mi></mml:mrow></mml:math></inline-formula><sub>dis</sub> was less than 2 <inline-formula><mml:math id="M95" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">Bq</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">3</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> for all samples. The activity concentration of <inline-formula><mml:math id="M96" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">137</mml:mn></mml:msup><mml:mi mathvariant="normal">Cs</mml:mi></mml:mrow></mml:math></inline-formula> was decay-corrected to the sampling date.</p>
      <p id="d2e1351">Radiocerium partitioning between the dissolved and particulate phases was evaluated using the apparent distribution coefficient (<inline-formula><mml:math id="M97" display="inline"><mml:mrow><mml:msub><mml:mi>K</mml:mi><mml:mi mathvariant="normal">d</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>; L kg<sup>−1</sup>), (IAEA, 2004). The <inline-formula><mml:math id="M99" display="inline"><mml:mrow><mml:msub><mml:mi>K</mml:mi><mml:mi mathvariant="normal">d</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> of <inline-formula><mml:math id="M100" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">137</mml:mn></mml:msup><mml:mi mathvariant="normal">Cs</mml:mi></mml:mrow></mml:math></inline-formula> is represented as follows:

            <disp-formula id="Ch1.E1" content-type="numbered"><label>1</label><mml:math id="M101" display="block"><mml:mrow><mml:msub><mml:mi>K</mml:mi><mml:mi mathvariant="normal">d</mml:mi></mml:msub><mml:mspace width="0.25em" linebreak="nobreak"/><mml:mfenced open="(" close=")"><mml:mrow class="unit"><mml:mi mathvariant="normal">L</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">kg</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:mfenced><mml:mo>=</mml:mo><mml:mstyle displaystyle="true"><mml:mfrac style="display"><mml:mrow><mml:msub><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">137</mml:mn></mml:msup><mml:mi mathvariant="normal">Cs</mml:mi></mml:mrow><mml:mi mathvariant="normal">sp</mml:mi></mml:msub><mml:mspace width="0.25em" linebreak="nobreak"/><mml:mfenced open="(" close=")"><mml:mrow class="unit"><mml:mi mathvariant="normal">Bq</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">kg</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:mfenced></mml:mrow><mml:mrow><mml:msub><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">137</mml:mn></mml:msup><mml:mi mathvariant="normal">Cs</mml:mi></mml:mrow><mml:mi mathvariant="normal">dis</mml:mi></mml:msub><mml:mspace linebreak="nobreak" width="0.25em"/><mml:mfenced open="(" close=")"><mml:mrow class="unit"><mml:mi mathvariant="normal">Bq</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">3</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:mfenced></mml:mrow></mml:mfrac></mml:mstyle><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="normal">10</mml:mn><mml:mn mathvariant="normal">3</mml:mn></mml:msup><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mo>,</mml:mo></mml:mrow></mml:math></disp-formula></p>
</sec>
<sec id="Ch1.S2.SS3">
  <label>2.3</label><title>Estimation of flux of dissolved <inline-formula><mml:math id="M102" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">137</mml:mn></mml:msup><mml:mi mathvariant="normal">Cs</mml:mi></mml:mrow></mml:math></inline-formula> in the lagoon</title>
      <p id="d2e1509">We used simplified box-model estimate to evaluate the magnitudes of the internal and external sources responsible for the non-conservative mixing behavior of dissolved <inline-formula><mml:math id="M103" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">137</mml:mn></mml:msup><mml:mi mathvariant="normal">Cs</mml:mi></mml:mrow></mml:math></inline-formula> observed in the lagoon. <inline-formula><mml:math id="M104" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">137</mml:mn></mml:msup><mml:mi mathvariant="normal">Cs</mml:mi></mml:mrow></mml:math></inline-formula> budget in Matsukawa-ura lagoon is summarized in Fig. 2.</p>

      <fig id="F2" specific-use="star"><label>Figure 2</label><caption><p id="d2e1538">Schematic illustration of the box-model for water and dissolved <inline-formula><mml:math id="M105" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">137</mml:mn></mml:msup><mml:mi mathvariant="normal">Cs</mml:mi></mml:mrow></mml:math></inline-formula> in Matsukawa-ura lagoon. Half of the lagoon water volume was assumed to be exchanged with coastal seawater during each tidal cycle under spring tide conditions (Kohata et al., 2003), and 5.5 % of riverine particulate <inline-formula><mml:math id="M106" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">137</mml:mn></mml:msup><mml:mi mathvariant="normal">Cs</mml:mi></mml:mrow></mml:math></inline-formula> was assumed to be converted to dissolved <inline-formula><mml:math id="M107" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">137</mml:mn></mml:msup><mml:mi mathvariant="normal">Cs</mml:mi></mml:mrow></mml:math></inline-formula> through desorption after entering the lagoon (Takata et al., 2021).</p></caption>
          <graphic xlink:href="https://bg.copernicus.org/articles/23/3591/2026/bg-23-3591-2026-f02.png"/>

        </fig>

      <p id="d2e1583">The water volume in Matsukawa-ura lagoon was calculated by multiplying the area of the lagoon (6.48 km<sup>2</sup>) by the mean water depth (1.24 m). The water volume in the lagoon was calculated using Eq. (2)

            <disp-formula id="Ch1.E2" content-type="numbered"><label>2</label><mml:math id="M109" display="block"><mml:mrow><mml:msub><mml:mi>V</mml:mi><mml:mn mathvariant="normal">0</mml:mn></mml:msub><mml:mo>=</mml:mo><mml:msub><mml:mi>A</mml:mi><mml:mn mathvariant="normal">0</mml:mn></mml:msub><mml:msub><mml:mi>d</mml:mi><mml:mn mathvariant="normal">0</mml:mn></mml:msub><mml:mo>=</mml:mo><mml:mn mathvariant="normal">6.48</mml:mn><mml:mo>×</mml:mo><mml:mn mathvariant="normal">1.24</mml:mn><mml:mo>=</mml:mo><mml:mn mathvariant="normal">8.04</mml:mn><mml:mo>,</mml:mo></mml:mrow></mml:math></disp-formula>

          where <inline-formula><mml:math id="M110" display="inline"><mml:mrow><mml:msub><mml:mi>V</mml:mi><mml:mn mathvariant="normal">0</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> is the water volume in the lagoon (Mm<sup>3</sup>), <inline-formula><mml:math id="M112" display="inline"><mml:mrow><mml:msub><mml:mi>A</mml:mi><mml:mn mathvariant="normal">0</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> is the area of the lagoon (km<sup>2</sup>), <inline-formula><mml:math id="M114" display="inline"><mml:mrow><mml:msub><mml:mi>d</mml:mi><mml:mn mathvariant="normal">0</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> is the mean depth of the lagoon (m). The maximum inflowing seawater from coastal area into the lagoon during a single tidal cycle was estimated using Eq. (3) since about half of the lagoon water volume can be exchanged with coastal seawater during a single tidal cycle under spring tide conditions (Kohata et al., 2003).

            <disp-formula id="Ch1.E3" content-type="numbered"><label>3</label><mml:math id="M115" display="block"><mml:mrow><mml:msub><mml:mi>Q</mml:mi><mml:mi mathvariant="normal">s</mml:mi></mml:msub><mml:mo>=</mml:mo><mml:mn mathvariant="normal">0.5</mml:mn><mml:mo>(</mml:mo><mml:msub><mml:mi>V</mml:mi><mml:mn mathvariant="normal">0</mml:mn></mml:msub><mml:mo>-</mml:mo><mml:msub><mml:mi>Q</mml:mi><mml:mi mathvariant="normal">r</mml:mi></mml:msub><mml:mo>-</mml:mo><mml:msub><mml:mi>Q</mml:mi><mml:mi mathvariant="normal">gw</mml:mi></mml:msub><mml:mo>)</mml:mo><mml:mo>,</mml:mo></mml:mrow></mml:math></disp-formula>

          where <inline-formula><mml:math id="M116" display="inline"><mml:mrow><mml:msub><mml:mi>Q</mml:mi><mml:mi mathvariant="normal">r</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> is the volume of the river water discharge (m<sup>3</sup> 12 h<sup>−1</sup>), <inline-formula><mml:math id="M119" display="inline"><mml:mrow><mml:msub><mml:mi>Q</mml:mi><mml:mi mathvariant="normal">gw</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> is the volume of the SGD (m<sup>3</sup> 12 h<sup>−1</sup>). The values of <inline-formula><mml:math id="M122" display="inline"><mml:mrow><mml:msub><mml:mi>Q</mml:mi><mml:mi mathvariant="normal">r</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M123" display="inline"><mml:mrow><mml:msub><mml:mi>Q</mml:mi><mml:mi mathvariant="normal">gw</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> on sampling dates are summarized in Table S1.</p>
      <p id="d2e1812">A Voronoi partition was constructed based on the sampling stations within the lagoon to estimate a representative dissolved <inline-formula><mml:math id="M124" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">137</mml:mn></mml:msup><mml:mi mathvariant="normal">Cs</mml:mi></mml:mrow></mml:math></inline-formula> concentration for the lagoon. The area ratio of each Voronoi cell to the total lagoon area was used as a weighting factor when averaging the <inline-formula><mml:math id="M125" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">137</mml:mn></mml:msup><mml:mi mathvariant="normal">Cs</mml:mi></mml:mrow></mml:math></inline-formula><sub>dis</sub> to obtain a weighted mean <inline-formula><mml:math id="M127" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">137</mml:mn></mml:msup><mml:mi mathvariant="normal">Cs</mml:mi></mml:mrow></mml:math></inline-formula><sub>dis</sub>. The weighted mean <inline-formula><mml:math id="M129" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">137</mml:mn></mml:msup><mml:mi mathvariant="normal">Cs</mml:mi></mml:mrow></mml:math></inline-formula><sub>dis</sub> (Bq m<sup>−3</sup>) was estimated using Eq. (4)

            <disp-formula id="Ch1.E4" content-type="numbered"><label>4</label><mml:math id="M132" display="block"><mml:mtable rowspacing="0.2ex" class="split" displaystyle="true" columnalign="right left"><mml:mtr><mml:mtd><mml:mrow><mml:msub><mml:mi mathvariant="normal">DCs</mml:mi><mml:mi mathvariant="normal">mean</mml:mi></mml:msub></mml:mrow></mml:mtd><mml:mtd><mml:mrow><mml:mo>=</mml:mo><mml:mstyle displaystyle="true"><mml:mfrac style="display"><mml:mn mathvariant="normal">1</mml:mn><mml:mi>S</mml:mi></mml:mfrac></mml:mstyle><mml:mo>×</mml:mo><mml:mo>(</mml:mo><mml:msub><mml:mi mathvariant="normal">DCs</mml:mi><mml:mi mathvariant="normal">SKS</mml:mi></mml:msub><mml:msub><mml:mi>A</mml:mi><mml:mi mathvariant="normal">SKS</mml:mi></mml:msub><mml:mo>+</mml:mo><mml:msub><mml:mi mathvariant="normal">DCs</mml:mi><mml:mi mathvariant="normal">WKO</mml:mi></mml:msub><mml:msub><mml:mi>A</mml:mi><mml:mi mathvariant="normal">WKO</mml:mi></mml:msub></mml:mrow></mml:mtd></mml:mtr><mml:mtr><mml:mtd/><mml:mtd><mml:mrow><mml:mo>+</mml:mo><mml:msub><mml:mi mathvariant="normal">DCs</mml:mi><mml:mi mathvariant="normal">WKS</mml:mi></mml:msub><mml:msub><mml:mi>A</mml:mi><mml:mi mathvariant="normal">WKS</mml:mi></mml:msub><mml:mo>+</mml:mo><mml:msub><mml:mi mathvariant="normal">DCs</mml:mi><mml:mi mathvariant="normal">KZE</mml:mi></mml:msub><mml:msub><mml:mi>A</mml:mi><mml:mi mathvariant="normal">KZE</mml:mi></mml:msub></mml:mrow></mml:mtd></mml:mtr><mml:mtr><mml:mtd/><mml:mtd><mml:mrow><mml:mo>+</mml:mo><mml:msub><mml:mi mathvariant="normal">DCs</mml:mi><mml:mi mathvariant="normal">UDE</mml:mi></mml:msub><mml:msub><mml:mi>A</mml:mi><mml:mi mathvariant="normal">UDE</mml:mi></mml:msub><mml:mo>+</mml:mo><mml:msub><mml:mi mathvariant="normal">DCs</mml:mi><mml:mi mathvariant="normal">IWS</mml:mi></mml:msub><mml:msub><mml:mi>A</mml:mi><mml:mi mathvariant="normal">IWS</mml:mi></mml:msub></mml:mrow></mml:mtd></mml:mtr><mml:mtr><mml:mtd/><mml:mtd><mml:mrow><mml:mo>+</mml:mo><mml:msub><mml:mi mathvariant="normal">DCs</mml:mi><mml:mi mathvariant="normal">OSS</mml:mi></mml:msub><mml:msub><mml:mi>A</mml:mi><mml:mi mathvariant="normal">OSS</mml:mi></mml:msub><mml:mo>+</mml:mo><mml:msub><mml:mi mathvariant="normal">DCs</mml:mi><mml:mi mathvariant="normal">UME</mml:mi></mml:msub><mml:msub><mml:mi>A</mml:mi><mml:mi mathvariant="normal">UME</mml:mi></mml:msub><mml:mo>)</mml:mo><mml:mo>,</mml:mo></mml:mrow></mml:mtd></mml:mtr></mml:mtable></mml:math></disp-formula>

          where DCs<sub>mean</sub> is the weighted mean <inline-formula><mml:math id="M134" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">137</mml:mn></mml:msup><mml:mi mathvariant="normal">Cs</mml:mi></mml:mrow></mml:math></inline-formula><sub>dis</sub> (Bq m<sup>−3</sup>), <inline-formula><mml:math id="M137" display="inline"><mml:mi>A</mml:mi></mml:math></inline-formula> is the area of the lagoon, DCs<sub>SKS-UME</sub> (Bq m<sup>−3</sup>) are <inline-formula><mml:math id="M140" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">137</mml:mn></mml:msup><mml:mi mathvariant="normal">Cs</mml:mi></mml:mrow></mml:math></inline-formula><sub>dis</sub> at each sampling station, <inline-formula><mml:math id="M142" display="inline"><mml:mrow><mml:msub><mml:mi>A</mml:mi><mml:mtext>SKS-UME</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> are areas of each Voronoi cell. The potential fluxes of <inline-formula><mml:math id="M143" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">137</mml:mn></mml:msup><mml:mi mathvariant="normal">Cs</mml:mi></mml:mrow></mml:math></inline-formula><sub>dis</sub> supplied to the lagoon were calculated by multiplying the difference in <inline-formula><mml:math id="M145" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">137</mml:mn></mml:msup><mml:mi mathvariant="normal">Cs</mml:mi></mml:mrow></mml:math></inline-formula><sub>dis</sub> between DCs<sub>mean</sub> and coastal seawater (station URS) by the volume of seawater flowing into the lagoon. The potential fluxes of dissolved <inline-formula><mml:math id="M148" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">137</mml:mn></mml:msup><mml:mi mathvariant="normal">Cs</mml:mi></mml:mrow></mml:math></inline-formula> in the lagoon were calculated using Eq. (5).

            <disp-formula id="Ch1.E5" content-type="numbered"><label>5</label><mml:math id="M149" display="block"><mml:mrow><mml:msub><mml:mi mathvariant="normal">FDCs</mml:mi><mml:mi mathvariant="normal">pot</mml:mi></mml:msub><mml:mo>=</mml:mo><mml:mfenced open="(" close=")"><mml:mrow><mml:msub><mml:mi mathvariant="normal">DCs</mml:mi><mml:mi mathvariant="normal">mean</mml:mi></mml:msub><mml:mo>-</mml:mo><mml:msub><mml:mi mathvariant="normal">DCs</mml:mi><mml:mi mathvariant="normal">URS</mml:mi></mml:msub></mml:mrow></mml:mfenced><mml:msub><mml:mi>Q</mml:mi><mml:mi mathvariant="normal">S</mml:mi></mml:msub><mml:mo>,</mml:mo></mml:mrow></mml:math></disp-formula>

          where FDCs<sub>pot</sub> is the potential fluxes of dissolved <inline-formula><mml:math id="M151" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">137</mml:mn></mml:msup><mml:mi mathvariant="normal">Cs</mml:mi></mml:mrow></mml:math></inline-formula> (Bq 12 h<sup>−1</sup>), DCs<sub>URS</sub> is the <inline-formula><mml:math id="M154" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">137</mml:mn></mml:msup><mml:mi mathvariant="normal">Cs</mml:mi></mml:mrow></mml:math></inline-formula><sub>dis</sub> at station URS (Bq m<sup>−3</sup>).</p>
      <p id="d2e2311">The fluxes of riverine dissolved <inline-formula><mml:math id="M157" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">137</mml:mn></mml:msup><mml:mi mathvariant="normal">Cs</mml:mi></mml:mrow></mml:math></inline-formula> flowing into the lagoon were calculated by multiplying the volume of river water discharge by the <inline-formula><mml:math id="M158" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">137</mml:mn></mml:msup><mml:mi mathvariant="normal">Cs</mml:mi></mml:mrow></mml:math></inline-formula><sub>dis</sub> in each river. Furthermore, 5.5 % of riverine particulate <inline-formula><mml:math id="M160" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">137</mml:mn></mml:msup><mml:mi mathvariant="normal">Cs</mml:mi></mml:mrow></mml:math></inline-formula> was assumed to be converted to dissolved <inline-formula><mml:math id="M161" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">137</mml:mn></mml:msup><mml:mi mathvariant="normal">Cs</mml:mi></mml:mrow></mml:math></inline-formula> through the desorption process after flowing into the lagoon (Takata et al., 2021). The fluxes of riverine dissolved <inline-formula><mml:math id="M162" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">137</mml:mn></mml:msup><mml:mi mathvariant="normal">Cs</mml:mi></mml:mrow></mml:math></inline-formula> flowing into the lagoon and dissolved <inline-formula><mml:math id="M163" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">137</mml:mn></mml:msup><mml:mi mathvariant="normal">Cs</mml:mi></mml:mrow></mml:math></inline-formula> through the desorption process were calculated using Eqs. (6), (7) and (8).

                <disp-formula specific-use="gather" content-type="numbered"><mml:math id="M164" display="block"><mml:mtable displaystyle="true"><mml:mlabeledtr id="Ch1.E6"><mml:mtd><mml:mtext>6</mml:mtext></mml:mtd><mml:mtd><mml:mrow><mml:mstyle displaystyle="true" class="stylechange"/><mml:msub><mml:mi mathvariant="normal">FDCs</mml:mi><mml:mi mathvariant="normal">r</mml:mi></mml:msub><mml:mo>=</mml:mo><mml:msub><mml:mi mathvariant="normal">DCs</mml:mi><mml:mi mathvariant="normal">r</mml:mi></mml:msub><mml:msub><mml:mi>Q</mml:mi><mml:mi mathvariant="normal">r</mml:mi></mml:msub><mml:mo>,</mml:mo></mml:mrow></mml:mtd></mml:mlabeledtr><mml:mlabeledtr id="Ch1.E7"><mml:mtd><mml:mtext>7</mml:mtext></mml:mtd><mml:mtd><mml:mrow><mml:mstyle class="stylechange" displaystyle="true"/><mml:msub><mml:mi mathvariant="normal">FPCs</mml:mi><mml:mi mathvariant="normal">r</mml:mi></mml:msub><mml:mo>=</mml:mo><mml:msub><mml:mi mathvariant="normal">PCs</mml:mi><mml:mi mathvariant="normal">r</mml:mi></mml:msub><mml:msub><mml:mi>Q</mml:mi><mml:mi mathvariant="normal">r</mml:mi></mml:msub><mml:mo>,</mml:mo></mml:mrow></mml:mtd></mml:mlabeledtr><mml:mlabeledtr id="Ch1.E8"><mml:mtd><mml:mtext>8</mml:mtext></mml:mtd><mml:mtd><mml:mrow><mml:mstyle class="stylechange" displaystyle="true"/><mml:msub><mml:mi mathvariant="normal">FDCs</mml:mi><mml:mi mathvariant="normal">des</mml:mi></mml:msub><mml:mo>=</mml:mo><mml:mn mathvariant="normal">0.055</mml:mn><mml:msub><mml:mi mathvariant="normal">FPCs</mml:mi><mml:mi mathvariant="normal">r</mml:mi></mml:msub><mml:mo>,</mml:mo></mml:mrow></mml:mtd></mml:mlabeledtr></mml:mtable></mml:math></disp-formula>

          where FDCs<sub>r</sub> is the flux of riverine dissolved <inline-formula><mml:math id="M166" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">137</mml:mn></mml:msup><mml:mi mathvariant="normal">Cs</mml:mi></mml:mrow></mml:math></inline-formula> (Bq 12 h<sup>−1</sup>), DCs<sub>r</sub> is the riverine <inline-formula><mml:math id="M169" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">137</mml:mn></mml:msup><mml:mi mathvariant="normal">Cs</mml:mi></mml:mrow></mml:math></inline-formula><sub>dis</sub> (Bq m<sup>−3</sup>), FPCs<sub>r</sub> is the flux of riverine particulate <inline-formula><mml:math id="M173" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">137</mml:mn></mml:msup><mml:mi mathvariant="normal">Cs</mml:mi></mml:mrow></mml:math></inline-formula> (Bq 12 h<sup>−1</sup>), PCs<sub>r</sub> is the riverine <inline-formula><mml:math id="M176" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">137</mml:mn></mml:msup><mml:mi mathvariant="normal">Cs</mml:mi></mml:mrow></mml:math></inline-formula><sub>par</sub> (Bq m<sup>−3</sup>), FDCs<sub>des</sub> is the dissolved <inline-formula><mml:math id="M180" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">137</mml:mn></mml:msup><mml:mi mathvariant="normal">Cs</mml:mi></mml:mrow></mml:math></inline-formula> flux produced by desorption from riverine particulate <inline-formula><mml:math id="M181" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">137</mml:mn></mml:msup><mml:mi mathvariant="normal">Cs</mml:mi></mml:mrow></mml:math></inline-formula> through the desorption process (Bq 12 h<sup>−1</sup>). Additionally, fluxes of dissolved <inline-formula><mml:math id="M183" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">137</mml:mn></mml:msup><mml:mi mathvariant="normal">Cs</mml:mi></mml:mrow></mml:math></inline-formula> supplying from the lagoon bottom were calculated using Eq. (9). In this study, dissolved <inline-formula><mml:math id="M184" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">137</mml:mn></mml:msup><mml:mi mathvariant="normal">Cs</mml:mi></mml:mrow></mml:math></inline-formula> in groundwater was not measured, so the flux of dissolved <inline-formula><mml:math id="M185" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">137</mml:mn></mml:msup><mml:mi mathvariant="normal">Cs</mml:mi></mml:mrow></mml:math></inline-formula> from groundwater to the lagoon was not calculated.

            <disp-formula id="Ch1.E9" content-type="numbered"><label>9</label><mml:math id="M186" display="block"><mml:mrow><mml:msub><mml:mi mathvariant="normal">FDCs</mml:mi><mml:mi mathvariant="normal">bot</mml:mi></mml:msub><mml:mo>=</mml:mo><mml:msub><mml:mi mathvariant="normal">FDCs</mml:mi><mml:mi mathvariant="normal">pot</mml:mi></mml:msub><mml:mo>-</mml:mo><mml:msub><mml:mi mathvariant="normal">FDCs</mml:mi><mml:mi mathvariant="normal">r</mml:mi></mml:msub><mml:mo>-</mml:mo><mml:msub><mml:mi mathvariant="normal">FDCs</mml:mi><mml:mi mathvariant="normal">des</mml:mi></mml:msub><mml:mo>,</mml:mo></mml:mrow></mml:math></disp-formula>

          where FDCs<sub>bot</sub> is the flux of dissolved <inline-formula><mml:math id="M188" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">137</mml:mn></mml:msup><mml:mi mathvariant="normal">Cs</mml:mi></mml:mrow></mml:math></inline-formula> supplying from the lagoon bottom (Bq 12 h<sup>−1</sup>).</p>
      <p id="d2e2776">Using this assumption of a 50 % water exchange per tidal cycle, the flux of dissolved <inline-formula><mml:math id="M190" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">137</mml:mn></mml:msup><mml:mi mathvariant="normal">Cs</mml:mi></mml:mrow></mml:math></inline-formula> exported from the lagoon to the Pacific Ocean was estimated using Eq. (10).

            <disp-formula id="Ch1.E10" content-type="numbered"><label>10</label><mml:math id="M191" display="block"><mml:mrow><mml:msub><mml:mi mathvariant="normal">FDCs</mml:mi><mml:mi mathvariant="normal">out</mml:mi></mml:msub><mml:mo>=</mml:mo><mml:mn mathvariant="normal">0.5</mml:mn><mml:msub><mml:mi>V</mml:mi><mml:mn mathvariant="normal">0</mml:mn></mml:msub><mml:msub><mml:mi mathvariant="normal">DCs</mml:mi><mml:mi mathvariant="normal">mean</mml:mi></mml:msub><mml:mo>,</mml:mo></mml:mrow></mml:math></disp-formula>

          where FDCs<sub>out</sub> is the flux of the dissolved <inline-formula><mml:math id="M193" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">137</mml:mn></mml:msup><mml:mi mathvariant="normal">Cs</mml:mi></mml:mrow></mml:math></inline-formula> from the lagoon to the Pacific Ocean (Bq 12 h<sup>−1</sup>).</p>
      <p id="d2e2851">Each flux was normalized to a time interval of 12 h to allow for the semidiurnal tidal periodicity in the lagoon. Although the tidal prism does not fully represent the entire exchange of estuarine water with oceanic seawater entering from outside the lagoon, it is used here based on the simplified assumption that pure seawater flows in from the open ocean to help understand the monthly variation in the influx of dissolved <inline-formula><mml:math id="M195" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">137</mml:mn></mml:msup><mml:mi mathvariant="normal">Cs</mml:mi></mml:mrow></mml:math></inline-formula> and the key factors maintaining relatively high <inline-formula><mml:math id="M196" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">137</mml:mn></mml:msup><mml:mi mathvariant="normal">Cs</mml:mi></mml:mrow></mml:math></inline-formula> concentrations in the lagoon.</p>

      <fig id="F3" specific-use="star"><label>Figure 3</label><caption><p id="d2e2880">Water conditions in the four inflowing rivers: <bold>(a)</bold> suspended particle concentration, <bold>(b)</bold> particulate <inline-formula><mml:math id="M197" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">137</mml:mn></mml:msup><mml:mi mathvariant="normal">Cs</mml:mi></mml:mrow></mml:math></inline-formula> concentration, <bold>(c)</bold> <inline-formula><mml:math id="M198" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">137</mml:mn></mml:msup><mml:mi mathvariant="normal">Cs</mml:mi></mml:mrow></mml:math></inline-formula> concentration in suspended particles, <bold>(d)</bold> dissolved <inline-formula><mml:math id="M199" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">137</mml:mn></mml:msup><mml:mi mathvariant="normal">Cs</mml:mi></mml:mrow></mml:math></inline-formula> concentration, and <bold>(e)</bold> the distribution coefficient (<inline-formula><mml:math id="M200" display="inline"><mml:mrow><mml:msub><mml:mi>K</mml:mi><mml:mi mathvariant="normal">d</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>). Box plots represent the median and interquartile values, and the whiskers show the minimum and maximum values. Cross marks represent the arithmetic means of the results.</p></caption>
          <graphic xlink:href="https://bg.copernicus.org/articles/23/3591/2026/bg-23-3591-2026-f03.png"/>

        </fig>

</sec>
</sec>
<sec id="Ch1.S3">
  <label>3</label><title>Results and discussion</title>
<sec id="Ch1.S3.SS1">
  <label>3.1</label><title><inline-formula><mml:math id="M201" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">137</mml:mn></mml:msup><mml:mi mathvariant="normal">Cs</mml:mi></mml:mrow></mml:math></inline-formula> concentrations in river waters</title>
      <p id="d2e2980">Suspended particle concentrations (SPc; g m<sup>−3</sup>), particulate <inline-formula><mml:math id="M203" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">137</mml:mn></mml:msup><mml:mi mathvariant="normal">Cs</mml:mi></mml:mrow></mml:math></inline-formula> concentrations (<inline-formula><mml:math id="M204" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">137</mml:mn></mml:msup><mml:mi mathvariant="normal">Cs</mml:mi></mml:mrow></mml:math></inline-formula><sub>par</sub>; <inline-formula><mml:math id="M206" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">Bq</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">3</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>), <inline-formula><mml:math id="M207" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">137</mml:mn></mml:msup><mml:mi mathvariant="normal">Cs</mml:mi></mml:mrow></mml:math></inline-formula> concentrations in suspended particles (<inline-formula><mml:math id="M208" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">137</mml:mn></mml:msup><mml:mi mathvariant="normal">Cs</mml:mi></mml:mrow></mml:math></inline-formula><sub>sp</sub>; Bq kg<sup>−1</sup>-dry), dissolved <inline-formula><mml:math id="M211" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">137</mml:mn></mml:msup><mml:mi mathvariant="normal">Cs</mml:mi></mml:mrow></mml:math></inline-formula> concentrations (<inline-formula><mml:math id="M212" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">137</mml:mn></mml:msup><mml:mi mathvariant="normal">Cs</mml:mi></mml:mrow></mml:math></inline-formula><sub>dis</sub>; <inline-formula><mml:math id="M214" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">Bq</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">3</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>), and apparent distribution coefficients (<inline-formula><mml:math id="M215" display="inline"><mml:mrow><mml:msub><mml:mi>K</mml:mi><mml:mi mathvariant="normal">d</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>; L kg<sup>−1</sup>) in the rivers flowing into the lagoon from 2021 to 2023 are shown in Fig. 3. All riverine <inline-formula><mml:math id="M217" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">137</mml:mn></mml:msup><mml:mi mathvariant="normal">Cs</mml:mi></mml:mrow></mml:math></inline-formula> measurements, related parameters, and time series of <inline-formula><mml:math id="M218" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">137</mml:mn></mml:msup><mml:mi mathvariant="normal">Cs</mml:mi></mml:mrow></mml:math></inline-formula><sub>par</sub> and <sup>137</sup>C<sub>dis</sub> are summarized in Table S2 and Fig. S1 in the Supplement.</p>
      <p id="d2e3213">The mean SPc were 6.7, 7.3, 14.4, and 7.5 g m<sup>−3</sup> in Koizumi, Uda, Ume, and Nikkeshi Rivers, with respective median values of 2.5, 1.0, 15, and 5.4 g m<sup>−3</sup> (Fig. 3a). The mean values were markedly higher than the median values because samples collected during a heavy rainfall event in August 2022 increased the mean. SPc in the Ume River was relatively high compared to those in the other three rivers; this was likely due to the reduced forest floor coverage in the Ume catchment (Table S1), which is known to enhance soil erosion (Nishikiori et al., 2015). Similarly, the median <inline-formula><mml:math id="M224" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">137</mml:mn></mml:msup><mml:mi mathvariant="normal">Cs</mml:mi></mml:mrow></mml:math></inline-formula><sub>par</sub> values in the Koizumi, Uda, Ume, and Nikkeshi Rivers were 3.0, 2.0, 16, and 3.7 <inline-formula><mml:math id="M226" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">Bq</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">3</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>, respectively (Fig. 3b). Because increased SPc is associated with increased <inline-formula><mml:math id="M227" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">137</mml:mn></mml:msup><mml:mi mathvariant="normal">Cs</mml:mi></mml:mrow></mml:math></inline-formula><sub>par</sub> (Ueda et al., 2013), and both tend to increase during high-flow conditions (Nagao et al., 2013; Niida et al., 2022), the higher <inline-formula><mml:math id="M229" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">137</mml:mn></mml:msup><mml:mi mathvariant="normal">Cs</mml:mi></mml:mrow></mml:math></inline-formula><sub>par</sub> in the Ume River can be attributed to its higher SPc in the river water. The mean <inline-formula><mml:math id="M231" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">137</mml:mn></mml:msup><mml:mi mathvariant="normal">Cs</mml:mi></mml:mrow></mml:math></inline-formula><sub>sp</sub> in the Koizumi, Uda, Ume, and Nikkeshi Rivers were 1656, 1871, 2048, and 1224 Bq kg<sup>−1</sup>, respectively (Fig. 3c). Although the mean inventory of deposited <inline-formula><mml:math id="M234" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">137</mml:mn></mml:msup><mml:mi mathvariant="normal">Cs</mml:mi></mml:mrow></mml:math></inline-formula> in the Uda catchment was two to three times higher than those in the other catchments, the mean <inline-formula><mml:math id="M235" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">137</mml:mn></mml:msup><mml:mi mathvariant="normal">Cs</mml:mi></mml:mrow></mml:math></inline-formula><sub>sp</sub> in the Uda River was less than twice those in the other rivers. The mean <inline-formula><mml:math id="M237" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">137</mml:mn></mml:msup><mml:mi mathvariant="normal">Cs</mml:mi></mml:mrow></mml:math></inline-formula><sub>dis</sub> in the Koizumi, Uda, Ume, and Nikkeshi Rivers were 2.2, 1.7, 2.6, and 3.5 <inline-formula><mml:math id="M239" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">Bq</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">3</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>, respectively (Fig. 3d). The Uda River showed the lowest <inline-formula><mml:math id="M240" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">137</mml:mn></mml:msup><mml:mi mathvariant="normal">Cs</mml:mi></mml:mrow></mml:math></inline-formula><sub>dis</sub> among the four rivers, similar to the distribution reported previously (Takata et al., 2022). Previous studies reported that <inline-formula><mml:math id="M242" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">137</mml:mn></mml:msup><mml:mi mathvariant="normal">Cs</mml:mi></mml:mrow></mml:math></inline-formula><sub>dis</sub> in river water is higher in summer and lower in winter (Igarashi et al., 2022), such a seasonal trend was not observed in this study (Fig. S1).</p>
      <p id="d2e3461">In catchments with high <inline-formula><mml:math id="M244" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">137</mml:mn></mml:msup><mml:mi mathvariant="normal">Cs</mml:mi></mml:mrow></mml:math></inline-formula> inventories, both <inline-formula><mml:math id="M245" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">137</mml:mn></mml:msup><mml:mi mathvariant="normal">Cs</mml:mi></mml:mrow></mml:math></inline-formula><sub>sp</sub> and the <inline-formula><mml:math id="M247" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">137</mml:mn></mml:msup><mml:mi mathvariant="normal">Cs</mml:mi></mml:mrow></mml:math></inline-formula><sub>dis</sub> in the rivers tended to be high. However, this relationship is influenced by multiple factors including topography, vegetation, rainfall patterns, and soil properties; therefore, the relationship between the <inline-formula><mml:math id="M249" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">137</mml:mn></mml:msup><mml:mi mathvariant="normal">Cs</mml:mi></mml:mrow></mml:math></inline-formula> concentration in soils and those in riverine particles or dissolved is not necessarily proportional. In downstream areas of catchments such as the Uda River, where soil <inline-formula><mml:math id="M250" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">137</mml:mn></mml:msup><mml:mi mathvariant="normal">Cs</mml:mi></mml:mrow></mml:math></inline-formula> concentrations are high in upstream areas and low in downstream areas, high <inline-formula><mml:math id="M251" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">137</mml:mn></mml:msup><mml:mi mathvariant="normal">Cs</mml:mi></mml:mrow></mml:math></inline-formula><sub>sp</sub> and <inline-formula><mml:math id="M253" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">137</mml:mn></mml:msup><mml:mi mathvariant="normal">Cs</mml:mi></mml:mrow></mml:math></inline-formula><sub>dis</sub> transported from the upstream area through the river may be diluted by downstream river waters containing less <inline-formula><mml:math id="M255" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">137</mml:mn></mml:msup><mml:mi mathvariant="normal">Cs</mml:mi></mml:mrow></mml:math></inline-formula> (Yamashiki et al., 2014).</p>
      <p id="d2e3594"><inline-formula><mml:math id="M256" display="inline"><mml:mrow><mml:msub><mml:mi>K</mml:mi><mml:mi mathvariant="normal">d</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> values ranged from <inline-formula><mml:math id="M257" display="inline"><mml:mrow><mml:mn mathvariant="normal">7.2</mml:mn><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="normal">10</mml:mn><mml:mn mathvariant="normal">4</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula> to <inline-formula><mml:math id="M258" display="inline"><mml:mrow><mml:mn mathvariant="normal">3.7</mml:mn><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> L kg<sup>−1</sup> (Fig. 3e), similar to those of rivers elsewhere in Fukushima Prefecture between 2011 and 2014, which ranged from <inline-formula><mml:math id="M260" display="inline"><mml:mrow><mml:mn mathvariant="normal">7.7</mml:mn><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="normal">10</mml:mn><mml:mn mathvariant="normal">4</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula> to <inline-formula><mml:math id="M261" display="inline"><mml:mrow><mml:mn mathvariant="normal">1.4</mml:mn><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> L kg<sup>−1</sup> (Taniguchi et al., 2019).</p>

      <fig id="F4" specific-use="star"><label>Figure 4</label><caption><p id="d2e3694">Suspended particle concentration <bold>(a)</bold>, particulate <inline-formula><mml:math id="M263" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">137</mml:mn></mml:msup><mml:mi mathvariant="normal">Cs</mml:mi></mml:mrow></mml:math></inline-formula> concentration <bold>(b)</bold>, <inline-formula><mml:math id="M264" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">137</mml:mn></mml:msup><mml:mi mathvariant="normal">Cs</mml:mi></mml:mrow></mml:math></inline-formula> concentration in suspended particles <bold>(c)</bold>, dissolved <inline-formula><mml:math id="M265" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">137</mml:mn></mml:msup><mml:mi mathvariant="normal">Cs</mml:mi></mml:mrow></mml:math></inline-formula> concentration <bold>(d)</bold>, and apparent distribution coefficient (<inline-formula><mml:math id="M266" display="inline"><mml:mrow><mml:msub><mml:mi>K</mml:mi><mml:mi mathvariant="normal">d</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>) <bold>(e)</bold> plotted against salinity in Matsukawa-ura lagoon.</p></caption>
          <graphic xlink:href="https://bg.copernicus.org/articles/23/3591/2026/bg-23-3591-2026-f04.png"/>

        </fig>

      <fig id="F5" specific-use="star"><label>Figure 5</label><caption><p id="d2e3768">Time series of dissolved <inline-formula><mml:math id="M267" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">137</mml:mn></mml:msup><mml:mi mathvariant="normal">Cs</mml:mi></mml:mrow></mml:math></inline-formula> and particulate <inline-formula><mml:math id="M268" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">137</mml:mn></mml:msup><mml:mi mathvariant="normal">Cs</mml:mi></mml:mrow></mml:math></inline-formula> concentration in Matsukawa-ura lagoon. <inline-formula><mml:math id="M269" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">137</mml:mn></mml:msup><mml:mi mathvariant="normal">Cs</mml:mi></mml:mrow></mml:math></inline-formula> concentrations were decay-corrected to the sampling date.</p></caption>
          <graphic xlink:href="https://bg.copernicus.org/articles/23/3591/2026/bg-23-3591-2026-f05.png"/>

        </fig>

</sec>
<sec id="Ch1.S3.SS2">
  <label>3.2</label><title><inline-formula><mml:math id="M270" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">137</mml:mn></mml:msup><mml:mi mathvariant="normal">Cs</mml:mi></mml:mrow></mml:math></inline-formula> Concentrations in Matsukawa-ura lagoon</title>
<sec id="Ch1.S3.SS2.SSS1">
  <label>3.2.1</label><title>Changes in parameters due to salinity</title>
      <p id="d2e3840">The relationships among SPc, <inline-formula><mml:math id="M271" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">137</mml:mn></mml:msup><mml:mi mathvariant="normal">Cs</mml:mi></mml:mrow></mml:math></inline-formula><sub>par</sub>, <inline-formula><mml:math id="M273" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">137</mml:mn></mml:msup><mml:mi mathvariant="normal">Cs</mml:mi></mml:mrow></mml:math></inline-formula><sub>sp</sub>, <inline-formula><mml:math id="M275" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">137</mml:mn></mml:msup><mml:mi mathvariant="normal">Cs</mml:mi></mml:mrow></mml:math></inline-formula><sub>dis</sub>, <inline-formula><mml:math id="M277" display="inline"><mml:mrow><mml:msub><mml:mi>K</mml:mi><mml:mi mathvariant="normal">d</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>, and salinity in rivers, Matsukawa-ura lagoon, and the nearshore area (Station URS) are shown in Fig. 4. In addition, time series of <inline-formula><mml:math id="M278" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">137</mml:mn></mml:msup><mml:mi mathvariant="normal">Cs</mml:mi></mml:mrow></mml:math></inline-formula><sub>par</sub> and <sup>137</sup>C<sub>dis</sub> at each sampling station in the lagoon and the nearshore area are shown in Fig. 5. The mean salinity in the lagoon during the study period was 29.1. All <inline-formula><mml:math id="M282" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">137</mml:mn></mml:msup><mml:mi mathvariant="normal">Cs</mml:mi></mml:mrow></mml:math></inline-formula> concentrations and related parameters in the lagoon and coastal seawater (station URS) are summarized in Tables S3 and S4.</p>
      <p id="d2e3965">The mean and median SPc in the lagoon were 10.8 and 3.2 g m<sup>−3</sup>, respectively (range 0.3–208 g m<sup>−3</sup>). The mean and median <inline-formula><mml:math id="M285" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">137</mml:mn></mml:msup><mml:mi mathvariant="normal">Cs</mml:mi></mml:mrow></mml:math></inline-formula><sub>par</sub> were 8.1 and 2.3 <inline-formula><mml:math id="M287" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">Bq</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">3</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>, respectively (range 0.1–123 <inline-formula><mml:math id="M288" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">Bq</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">3</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>). The mean and median <inline-formula><mml:math id="M289" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">137</mml:mn></mml:msup><mml:mi mathvariant="normal">Cs</mml:mi></mml:mrow></mml:math></inline-formula><sub>sp</sub> were 1111 and 631 Bq kg<sup>−1</sup>, respectively (range 100–16 434 Bq kg<sup>−1</sup>). The mean and median <inline-formula><mml:math id="M293" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">137</mml:mn></mml:msup><mml:mi mathvariant="normal">Cs</mml:mi></mml:mrow></mml:math></inline-formula><sub>dis</sub> in the lagoon were 9.9 and 8.2 <inline-formula><mml:math id="M295" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">Bq</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">3</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>, respectively (range 2.5–31.3 <inline-formula><mml:math id="M296" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">Bq</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">3</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>). The <inline-formula><mml:math id="M297" display="inline"><mml:mrow><mml:msub><mml:mi>K</mml:mi><mml:mi mathvariant="normal">d</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> values tended to decrease with increasing salinity (Fig. 4e). A previous study reported that SPc, <inline-formula><mml:math id="M298" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">137</mml:mn></mml:msup><mml:mi mathvariant="normal">Cs</mml:mi></mml:mrow></mml:math></inline-formula><sub>par</sub> and <inline-formula><mml:math id="M300" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">137</mml:mn></mml:msup><mml:mi mathvariant="normal">Cs</mml:mi></mml:mrow></mml:math></inline-formula><sub>sp</sub> tend to decrease with increasing salinity (Takata et al., 2022), possibly due to the dilution, coagulation, and settling of suspended particles along the salinity gradient as well as dilution by seawater with low <inline-formula><mml:math id="M302" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">137</mml:mn></mml:msup><mml:mi mathvariant="normal">Cs</mml:mi></mml:mrow></mml:math></inline-formula> concentrations, although no clear relationships were observed in this study (Fig. 4a, b, c).</p>
      <p id="d2e4209">In contrast to <inline-formula><mml:math id="M303" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">137</mml:mn></mml:msup><mml:mi mathvariant="normal">Cs</mml:mi></mml:mrow></mml:math></inline-formula><sub>par</sub> and <inline-formula><mml:math id="M305" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">137</mml:mn></mml:msup><mml:mi mathvariant="normal">Cs</mml:mi></mml:mrow></mml:math></inline-formula><sub>sp</sub>, <inline-formula><mml:math id="M307" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">137</mml:mn></mml:msup><mml:mi mathvariant="normal">Cs</mml:mi></mml:mrow></mml:math></inline-formula><sub>dis</sub> were higher in the lagoon than in the four inflowing rivers. <inline-formula><mml:math id="M309" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">137</mml:mn></mml:msup><mml:mi mathvariant="normal">Cs</mml:mi></mml:mrow></mml:math></inline-formula><sub>dis</sub> also tended to increase with increasing salinity (Fig. 4d), reaching a maximum at salinities of 25–30, and then decreasing at salinities above 30. This trend implies that the <inline-formula><mml:math id="M311" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">137</mml:mn></mml:msup><mml:mi mathvariant="normal">Cs</mml:mi></mml:mrow></mml:math></inline-formula><sub>dis</sub> in the lagoon temporarily increases due to desorption of particulate <inline-formula><mml:math id="M313" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">137</mml:mn></mml:msup><mml:mi mathvariant="normal">Cs</mml:mi></mml:mrow></mml:math></inline-formula> from the rivers (Takata et al., 2020a) and the supply of dissolved <inline-formula><mml:math id="M314" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">137</mml:mn></mml:msup><mml:mi mathvariant="normal">Cs</mml:mi></mml:mrow></mml:math></inline-formula> from pore water in bottom sediments (Kambayashi et al., 2021; Takata et al., 2022) while it is also diluted by the large amount of coastal seawater that flows into the lagoon. However, the large variation of <inline-formula><mml:math id="M315" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">137</mml:mn></mml:msup><mml:mi mathvariant="normal">Cs</mml:mi></mml:mrow></mml:math></inline-formula><sub>dis</sub> at salinities of 25–30 (2.5–31.3 <inline-formula><mml:math id="M317" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">Bq</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">3</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>) may be due to seasonality and differences between sampling sites. <inline-formula><mml:math id="M318" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">137</mml:mn></mml:msup><mml:mi mathvariant="normal">Cs</mml:mi></mml:mrow></mml:math></inline-formula><sub>dis</sub> tended to decrease to the north and in proximity to the mouth of the lagoon, being highest at station UME, OSS and IWS on the south side of the lagoon (Figs. 1b, 5f–h, respectively). The spatial pattern suggested increasing mixing with coastal seawater containing low <inline-formula><mml:math id="M320" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">137</mml:mn></mml:msup><mml:mi mathvariant="normal">Cs</mml:mi></mml:mrow></mml:math></inline-formula><sub>dis</sub> near the lagoon mouth, such as at stations WKS, WKO and SKS (Figs. 1b, 5b, c and e, respectively). It has been reported that some of the radiocesium adsorbed to suspended particles flowing into the ocean is desorbed from the suspended particles due to competition with ionic species such as K<sup>+</sup> and NH<inline-formula><mml:math id="M323" 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> and converted to dissolved <inline-formula><mml:math id="M324" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">137</mml:mn></mml:msup><mml:mi mathvariant="normal">Cs</mml:mi></mml:mrow></mml:math></inline-formula>, resulting in a decrease in <inline-formula><mml:math id="M325" display="inline"><mml:mrow><mml:msub><mml:mi>K</mml:mi><mml:mi mathvariant="normal">d</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> (Takata et al., 2020a, 2021). Similar trends were observed in this study. <inline-formula><mml:math id="M326" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">137</mml:mn></mml:msup><mml:mi mathvariant="normal">Cs</mml:mi></mml:mrow></mml:math></inline-formula><sub>dis</sub> at each station in the lagoon tended to be higher in summer and lower in winter, which contrasts with the trend observed in the rivers (Figs. 5 and S1). The next section discusses the seasonal variation of <inline-formula><mml:math id="M328" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">137</mml:mn></mml:msup><mml:mi mathvariant="normal">Cs</mml:mi></mml:mrow></mml:math></inline-formula><sub>dis</sub> in the lagoon and its relationship with water temperature.</p>

      <fig id="F6" specific-use="star"><label>Figure 6</label><caption><p id="d2e4503">Time series of dissolved <inline-formula><mml:math id="M330" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">137</mml:mn></mml:msup><mml:mi mathvariant="normal">Cs</mml:mi></mml:mrow></mml:math></inline-formula> concentrations <bold>(a)</bold> and dissolved <inline-formula><mml:math id="M331" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">137</mml:mn></mml:msup><mml:mi mathvariant="normal">Cs</mml:mi></mml:mrow></mml:math></inline-formula> concentrations versus water temperature <bold>(b)</bold> in Matsukawa-ura lagoon from June 2021 to February 2023. Black bars represent the standard deviation of the dissolved <inline-formula><mml:math id="M332" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">137</mml:mn></mml:msup><mml:mi mathvariant="normal">Cs</mml:mi></mml:mrow></mml:math></inline-formula> concentrations on each sampling date.</p></caption>
            <graphic xlink:href="https://bg.copernicus.org/articles/23/3591/2026/bg-23-3591-2026-f06.png"/>

          </fig>

</sec>
<sec id="Ch1.S3.SS2.SSS2">
  <label>3.2.2</label><title>Seasonal variation of dissolved <inline-formula><mml:math id="M333" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">137</mml:mn></mml:msup><mml:mi mathvariant="normal">Cs</mml:mi></mml:mrow></mml:math></inline-formula> in the lagoon</title>
      <p id="d2e4575">The time series of <inline-formula><mml:math id="M334" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">137</mml:mn></mml:msup><mml:mi mathvariant="normal">Cs</mml:mi></mml:mrow></mml:math></inline-formula><sub>dis</sub> in the lagoon are shown in Fig. 6a and the relationship between <inline-formula><mml:math id="M336" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">137</mml:mn></mml:msup><mml:mi mathvariant="normal">Cs</mml:mi></mml:mrow></mml:math></inline-formula><sub>dis</sub> and water temperature in Fig. 6b.</p>
      <p id="d2e4618">The weighted mean <inline-formula><mml:math id="M338" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">137</mml:mn></mml:msup><mml:mi mathvariant="normal">Cs</mml:mi></mml:mrow></mml:math></inline-formula><sub>dis</sub> in the lagoon on each sampling date ranged from 5.3–19.0 <inline-formula><mml:math id="M340" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">Bq</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">3</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>, which is 2.4–8.6 times higher than that in coastal seawater. The corresponding values in coastal seawater ranged from 2.2–4.8 <inline-formula><mml:math id="M341" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">Bq</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">3</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>, collected at station URS during the same period. The <inline-formula><mml:math id="M342" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">137</mml:mn></mml:msup><mml:mi mathvariant="normal">Cs</mml:mi></mml:mrow></mml:math></inline-formula><sub>dis</sub> in the lagoon tended to be higher in summer and lower in winter (Fig. 6a) and showed a significant correlation with water temperature (Fig. 6b). The water depth of Matsukawa-ura lagoon is very shallow, and it has been indicated that about half of the water is exchanged during a single tidal cycle under spring tide conditions (Kohata et al., 2003). For simplicity in clarifying the seasonality of <inline-formula><mml:math id="M344" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">137</mml:mn></mml:msup><mml:mi mathvariant="normal">Cs</mml:mi></mml:mrow></mml:math></inline-formula><sub>dis</sub> in the lagoon, we used the mean <inline-formula><mml:math id="M346" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">137</mml:mn></mml:msup><mml:mi mathvariant="normal">Cs</mml:mi></mml:mrow></mml:math></inline-formula><sub>dis</sub> among several sampling representative sampling stations which could represent the <inline-formula><mml:math id="M348" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">137</mml:mn></mml:msup><mml:mi mathvariant="normal">Cs</mml:mi></mml:mrow></mml:math></inline-formula><sub>dis</sub> levels in the area of the lagoon. For example, in February 2022 and 2023, <inline-formula><mml:math id="M350" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">137</mml:mn></mml:msup><mml:mi mathvariant="normal">Cs</mml:mi></mml:mrow></mml:math></inline-formula><sub>dis</sub> ranged from 2.5–9.0 and from 3.5–8.3 <inline-formula><mml:math id="M352" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">Bq</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">3</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>, respectively, with weighted means of 5.3 and 5.5 <inline-formula><mml:math id="M353" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">Bq</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">3</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>. In contrast, the weighted mean <inline-formula><mml:math id="M354" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">137</mml:mn></mml:msup><mml:mi mathvariant="normal">Cs</mml:mi></mml:mrow></mml:math></inline-formula><sub>dis</sub> values in June 2022 and 2023 were 17.0 and 15.0 <inline-formula><mml:math id="M356" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">Bq</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">3</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>, respectively, which are approximately three times higher than the winter values. These results suggest that seasonal variations are more influential than spatial variability in concentrations within the lagoon.</p>
      <p id="d2e4848">Previous studies revealed that water temperature influences the adsorption and desorption of <inline-formula><mml:math id="M357" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">137</mml:mn></mml:msup><mml:mi mathvariant="normal">Cs</mml:mi></mml:mrow></mml:math></inline-formula> between solutions and particles with high affinity, such as clay minerals having “frayed-edge-sites” (FeS). Tertre et al. (2005) evaluated the effect of temperature on Cs<sup>+</sup> behavior at low ionic strength under neutral conditions and reported that <inline-formula><mml:math id="M359" display="inline"><mml:mrow><mml:msub><mml:mi>K</mml:mi><mml:mi mathvariant="normal">d</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> decreases by a factor of 3 between 25 and 150 °C. Furthermore, Igarashi et al. (2022) reported a relationship between the <inline-formula><mml:math id="M360" display="inline"><mml:mrow><mml:msub><mml:mi>K</mml:mi><mml:mi mathvariant="normal">d</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> value of radiocesium and water temperature in the midstream catchment of the Abukuma River, which flows through Fukushima Prefecture; they suggested that <inline-formula><mml:math id="M361" display="inline"><mml:mrow><mml:msub><mml:mi>K</mml:mi><mml:mi mathvariant="normal">d</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> decreases as water temperature increases. In addition, Nagao et al. (2020) reported that 0.1 % of <inline-formula><mml:math id="M362" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">137</mml:mn></mml:msup><mml:mi mathvariant="normal">Cs</mml:mi></mml:mrow></mml:math></inline-formula> was desorbed from sand samples in ultrapure water; 3.7 % in a 25 % seawater solution; 7.1 % in a 50 % seawater solution; and 10 %–12 % in 100 % seawater, in artificial seawater, and in a 470 mM NaCl <inline-formula><mml:math id="M363" display="inline"><mml:mo>+</mml:mo></mml:math></inline-formula> 8 mM KCl solution. These results indicate that the desorption of <inline-formula><mml:math id="M364" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">137</mml:mn></mml:msup><mml:mi mathvariant="normal">Cs</mml:mi></mml:mrow></mml:math></inline-formula> is likely to be largely completed at a salinity equivalent to that of a 50 % seawater solution. In Matsukawa-ura lagoon (average salinity is 29.1), where the study was conducted, the desorption of <inline-formula><mml:math id="M365" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">137</mml:mn></mml:msup><mml:mi mathvariant="normal">Cs</mml:mi></mml:mrow></mml:math></inline-formula> by ion exchange in seawater was largely complete, implying that the effect of water temperature is likely more important than that of salinity in the adsorption and desorption process of <inline-formula><mml:math id="M366" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">137</mml:mn></mml:msup><mml:mi mathvariant="normal">Cs</mml:mi></mml:mrow></mml:math></inline-formula> in seawater.</p>
      <p id="d2e4962">In the following section, we apply a simplified box-model estimate approach to analyze the sources of dissolved <inline-formula><mml:math id="M367" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">137</mml:mn></mml:msup><mml:mi mathvariant="normal">Cs</mml:mi></mml:mrow></mml:math></inline-formula> in the lagoon and compare the contributions of river inputs against the supply from lagoon bottom.</p>

      <fig id="F7" specific-use="star"><label>Figure 7</label><caption><p id="d2e4979">Fluxes of riverine particulate <inline-formula><mml:math id="M368" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">137</mml:mn></mml:msup><mml:mi mathvariant="normal">Cs</mml:mi></mml:mrow></mml:math></inline-formula> <bold>(a)</bold>, dissolved <inline-formula><mml:math id="M369" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">137</mml:mn></mml:msup><mml:mi mathvariant="normal">Cs</mml:mi></mml:mrow></mml:math></inline-formula> <bold>(b)</bold> and total <inline-formula><mml:math id="M370" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">137</mml:mn></mml:msup><mml:mi mathvariant="normal">Cs</mml:mi></mml:mrow></mml:math></inline-formula> <bold>(c)</bold> in each river. Proportion of particulate <inline-formula><mml:math id="M371" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">137</mml:mn></mml:msup><mml:mi mathvariant="normal">Cs</mml:mi></mml:mrow></mml:math></inline-formula> flux in the total <inline-formula><mml:math id="M372" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">137</mml:mn></mml:msup><mml:mi mathvariant="normal">Cs</mml:mi></mml:mrow></mml:math></inline-formula> flux <bold>(d)</bold>. Black bars represent the measurement error of <inline-formula><mml:math id="M373" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">137</mml:mn></mml:msup><mml:mi mathvariant="normal">Cs</mml:mi></mml:mrow></mml:math></inline-formula>.</p></caption>
            <graphic xlink:href="https://bg.copernicus.org/articles/23/3591/2026/bg-23-3591-2026-f07.png"/>

          </fig>

</sec>
<sec id="Ch1.S3.SS2.SSS3">
  <label>3.2.3</label><title>Simplified box-model and seasonal variations in dissolved <inline-formula><mml:math id="M374" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">137</mml:mn></mml:msup><mml:mi mathvariant="normal">Cs</mml:mi></mml:mrow></mml:math></inline-formula> flux</title>
      <p id="d2e5094">The fluxes of <inline-formula><mml:math id="M375" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">137</mml:mn></mml:msup><mml:mi mathvariant="normal">Cs</mml:mi></mml:mrow></mml:math></inline-formula> from each river into the lagoon are shown in Fig. 7. The mean fluxes of particulate <inline-formula><mml:math id="M376" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">137</mml:mn></mml:msup><mml:mi mathvariant="normal">Cs</mml:mi></mml:mrow></mml:math></inline-formula> from each river to the lagoon during the sampling campaign were 0.13, 0.69, 0.30 and 0.25 MBq 12 h<sup>−1</sup> for Koizumi, Uda, Ume and Nikkeshi Rivers, respectively. The mean fluxes of dissolved <inline-formula><mml:math id="M378" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">137</mml:mn></mml:msup><mml:mi mathvariant="normal">Cs</mml:mi></mml:mrow></mml:math></inline-formula> from each river were 0.048, 0.24, 0.034 and 0.090 MBq 12 h<sup>−1</sup> for Koizumi, Uda, Ume and Nikkeshi Rivers, respectively. The total flux (Particulate and dissolved <inline-formula><mml:math id="M380" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">137</mml:mn></mml:msup><mml:mi mathvariant="normal">Cs</mml:mi></mml:mrow></mml:math></inline-formula>) from Uda Rivers, which had lower <inline-formula><mml:math id="M381" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">137</mml:mn></mml:msup><mml:mi mathvariant="normal">Cs</mml:mi></mml:mrow></mml:math></inline-formula><sub>par</sub> and <inline-formula><mml:math id="M383" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">137</mml:mn></mml:msup><mml:mi mathvariant="normal">Cs</mml:mi></mml:mrow></mml:math></inline-formula><sub>dis</sub> than the other three rivers (Fig. 3b, d), was nevertheless the largest among the four rivers (Fig. 7c). This is because the water discharge of the Uda River is several times higher than that of the other three rivers (Table S1). The mean proportion of particulate <inline-formula><mml:math id="M385" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">137</mml:mn></mml:msup><mml:mi mathvariant="normal">Cs</mml:mi></mml:mrow></mml:math></inline-formula> in the total flux was about 50 %–60 % in all except the Ume River. However, during high-flow conditions in August 2022, particulate <inline-formula><mml:math id="M386" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">137</mml:mn></mml:msup><mml:mi mathvariant="normal">Cs</mml:mi></mml:mrow></mml:math></inline-formula> accounted for more than 90 % of the total flux in all rivers (Fig. 7d), as reported in previous studies (Nagao et al., 2013; Yamashiki et al., 2014; Niida et al., 2022). The total <inline-formula><mml:math id="M387" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">137</mml:mn></mml:msup><mml:mi mathvariant="normal">Cs</mml:mi></mml:mrow></mml:math></inline-formula> flux from the four rivers ranged from 0.06 to 7.24 MBq 12 h<sup>−1</sup>, while the total dissolved <inline-formula><mml:math id="M389" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">137</mml:mn></mml:msup><mml:mi mathvariant="normal">Cs</mml:mi></mml:mrow></mml:math></inline-formula> flux ranged from 0.03 to 1.23 MBq 12 h<sup>−1</sup>. In addition, assuming that 5.5 % of riverine particulate <inline-formula><mml:math id="M391" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">137</mml:mn></mml:msup><mml:mi mathvariant="normal">Cs</mml:mi></mml:mrow></mml:math></inline-formula> is desorbed to dissolved <inline-formula><mml:math id="M392" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">137</mml:mn></mml:msup><mml:mi mathvariant="normal">Cs</mml:mi></mml:mrow></mml:math></inline-formula> through the desorption process after entering the lagoon (Takata et al., 2021), it was estimated that 0.003 to 0.40 MBq 12 h<sup>−1</sup> was supplied to the dissolved phase by desorption from particulate <inline-formula><mml:math id="M394" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">137</mml:mn></mml:msup><mml:mi mathvariant="normal">Cs</mml:mi></mml:mrow></mml:math></inline-formula>.</p>

      <fig id="F8" specific-use="star"><label>Figure 8</label><caption><p id="d2e5334">Potential fluxes of dissolves <inline-formula><mml:math id="M395" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">137</mml:mn></mml:msup><mml:mi mathvariant="normal">Cs</mml:mi></mml:mrow></mml:math></inline-formula> supplied to Matsukawa-ura lagoon and fluxes of dissolved <inline-formula><mml:math id="M396" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">137</mml:mn></mml:msup><mml:mi mathvariant="normal">Cs</mml:mi></mml:mrow></mml:math></inline-formula> from the lagoon to the Pacific Ocean <bold>(a)</bold>. Fluxes of dissolved <inline-formula><mml:math id="M397" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">137</mml:mn></mml:msup><mml:mi mathvariant="normal">Cs</mml:mi></mml:mrow></mml:math></inline-formula> supplied to the lagoon from the rivers, desorbed from riverine particles and the lagoon bottom in the lagoon <bold>(b)</bold>. Black bars represent the measurement error of <inline-formula><mml:math id="M398" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">137</mml:mn></mml:msup><mml:mi mathvariant="normal">Cs</mml:mi></mml:mrow></mml:math></inline-formula>.</p></caption>
            <graphic xlink:href="https://bg.copernicus.org/articles/23/3591/2026/bg-23-3591-2026-f08.png"/>

          </fig>

      <p id="d2e5398">Because the lagoon exhibits strong spatial heterogeneity in dissolved <inline-formula><mml:math id="M399" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">137</mml:mn></mml:msup><mml:mi mathvariant="normal">Cs</mml:mi></mml:mrow></mml:math></inline-formula> concentrations, a strict mass balance for the entire lagoon cannot be established with the present dataset. Therefore, the following calculation is intended as a simplified, first-order estimate to evaluate the relative magnitude of the major source rather than a strict mass balance. The potential fluxes of dissolved <inline-formula><mml:math id="M400" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">137</mml:mn></mml:msup><mml:mi mathvariant="normal">Cs</mml:mi></mml:mrow></mml:math></inline-formula> supplied to the lagoon and the flux of dissolved <inline-formula><mml:math id="M401" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">137</mml:mn></mml:msup><mml:mi mathvariant="normal">Cs</mml:mi></mml:mrow></mml:math></inline-formula> exported from the lagoon to the Pacific Ocean are shown in Fig. 8a. Fluxes of dissolved <inline-formula><mml:math id="M402" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">137</mml:mn></mml:msup><mml:mi mathvariant="normal">Cs</mml:mi></mml:mrow></mml:math></inline-formula> supplied to the lagoon from the rivers, desorbed from riverine particles and supplied from the lagoon bottom are shown in Fig. 8b. Details of the calculation results are shown in Table S5. The mean water depth at the station WKO, located at the mouth of the lagoon, was 1.9 m, with a maximum of 2.2 m and a minimum of 1.7 m, and the difference between the maximum and minimum values was about 50 cm (Fig. S2). Therefore, the exchange volume in the lagoon was assumed to be constant throughout the year, making it possible to compare seasonal variations. The weighted mean <inline-formula><mml:math id="M403" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">137</mml:mn></mml:msup><mml:mi mathvariant="normal">Cs</mml:mi></mml:mrow></mml:math></inline-formula><sub>dis</sub> in the lagoon during the study period was 5.3–19.0 <inline-formula><mml:math id="M405" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">Bq</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">3</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>, whereas the <inline-formula><mml:math id="M406" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">137</mml:mn></mml:msup><mml:mi mathvariant="normal">Cs</mml:mi></mml:mrow></mml:math></inline-formula><sub>dis</sub> in the nearshore seawater outside the lagoon (station URS) during the same period was 2.2–4.8 <inline-formula><mml:math id="M408" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">Bq</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">3</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>. This result indicates that processes within the lagoon increased <inline-formula><mml:math id="M409" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">137</mml:mn></mml:msup><mml:mi mathvariant="normal">Cs</mml:mi></mml:mrow></mml:math></inline-formula><sub>dis</sub> by up to 0.5–16.8 <inline-formula><mml:math id="M411" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">Bq</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">3</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> after seawater entered the lagoon. Accordingly, the maximum estimated input of dissolve <inline-formula><mml:math id="M412" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">137</mml:mn></mml:msup><mml:mi mathvariant="normal">Cs</mml:mi></mml:mrow></mml:math></inline-formula> to the lagoon was 1.9–65.4 MBq 12 h<sup>−1</sup> (Fig. 8a). The fluxes of dissolved and desorbed <inline-formula><mml:math id="M414" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">137</mml:mn></mml:msup><mml:mi mathvariant="normal">Cs</mml:mi></mml:mrow></mml:math></inline-formula> from the rivers were 0.03–1.23 and 0.003–0.40 MBq 12 h<sup>−1</sup>, respectively, whereas the dissolved <inline-formula><mml:math id="M416" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">137</mml:mn></mml:msup><mml:mi mathvariant="normal">Cs</mml:mi></mml:mrow></mml:math></inline-formula> flux supplied from lagoon bottom was 1.8–64.7 MBq 12 h<sup>−1</sup>, which is much greater than the riverine input. The <inline-formula><mml:math id="M418" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">137</mml:mn></mml:msup><mml:mi mathvariant="normal">Cs</mml:mi></mml:mrow></mml:math></inline-formula><sub>dis</sub> in groundwater collected in the lagoon catchment in 2015–2016 were below 9.7 <inline-formula><mml:math id="M420" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">Bq</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">3</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> (Kambayashi et al., 2021), suggesting that the supply of dissolved <inline-formula><mml:math id="M421" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">137</mml:mn></mml:msup><mml:mi mathvariant="normal">Cs</mml:mi></mml:mrow></mml:math></inline-formula> via pure groundwater should be low. Therefore, the supply of dissolved <inline-formula><mml:math id="M422" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">137</mml:mn></mml:msup><mml:mi mathvariant="normal">Cs</mml:mi></mml:mrow></mml:math></inline-formula> from bottom sediments is likely much greater than that from rivers. These results imply that continuous <inline-formula><mml:math id="M423" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">137</mml:mn></mml:msup><mml:mi mathvariant="normal">Cs</mml:mi></mml:mrow></mml:math></inline-formula> input from the terrestrial areas is unlikely to contribute to the spatiotemporal variability of dissolved <inline-formula><mml:math id="M424" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">137</mml:mn></mml:msup><mml:mi mathvariant="normal">Cs</mml:mi></mml:mrow></mml:math></inline-formula> concentrations. Kambayashi et al. (2021) measured the <inline-formula><mml:math id="M425" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">137</mml:mn></mml:msup><mml:mi mathvariant="normal">Cs</mml:mi></mml:mrow></mml:math></inline-formula> concentration in pore water in sediments of Matsukawa-ura lagoon in 2016 and estimated the flux from the sediments to be 139–293 MBq d<sup>−1</sup>, suggesting that the supply of dissolved <inline-formula><mml:math id="M427" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">137</mml:mn></mml:msup><mml:mi mathvariant="normal">Cs</mml:mi></mml:mrow></mml:math></inline-formula> from bottom sediments may account for 93 %–95 % of the supply of <inline-formula><mml:math id="M428" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">137</mml:mn></mml:msup><mml:mi mathvariant="normal">Cs</mml:mi></mml:mrow></mml:math></inline-formula><sub>dis</sub> to Matsukawa-ura lagoon. However, our estimates show that the supply of dissolved <inline-formula><mml:math id="M430" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">137</mml:mn></mml:msup><mml:mi mathvariant="normal">Cs</mml:mi></mml:mrow></mml:math></inline-formula> from lagoon bottom may account for more than 96 %. Thus, as more time passes since the accident and riverine inputs of <inline-formula><mml:math id="M431" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">137</mml:mn></mml:msup><mml:mi mathvariant="normal">Cs</mml:mi></mml:mrow></mml:math></inline-formula> decrease due to decontamination in the catchments, the relative contribution from bottom sediments is expected to increase.</p>
      <p id="d2e5803">The supply of dissolved <inline-formula><mml:math id="M432" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">137</mml:mn></mml:msup><mml:mi mathvariant="normal">Cs</mml:mi></mml:mrow></mml:math></inline-formula> from bottom sediments was higher in summer and lower in winter (Fig. 8b), consistent with the seasonal variation in <inline-formula><mml:math id="M433" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">137</mml:mn></mml:msup><mml:mi mathvariant="normal">Cs</mml:mi></mml:mrow></mml:math></inline-formula><sub>dis</sub> in the lagoon. This seasonal pattern may be attributed to a decrease in the distribution coefficient between particulate and dissolved <inline-formula><mml:math id="M435" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">137</mml:mn></mml:msup><mml:mi mathvariant="normal">Cs</mml:mi></mml:mrow></mml:math></inline-formula> with increasing water temperature (Tertre et al., 2005), as discussed in Sect. 3.2.2. In addition, Tsuji et al. (2022) investigated the effects of water temperature, dissolved oxygen, and NH<inline-formula><mml:math id="M436" 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> on the desorption of <inline-formula><mml:math id="M437" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">137</mml:mn></mml:msup><mml:mi mathvariant="normal">Cs</mml:mi></mml:mrow></mml:math></inline-formula> from lake sediments at Yokokawa Dam, Fukushima Prefecture, and reported that higher water temperatures stimulate bacterial decomposition of organic matter, while elevated <inline-formula><mml:math id="M438" display="inline"><mml:mrow class="chem"><mml:msubsup><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">4</mml:mn><mml:mo>+</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula> concentrations in pore water under anaerobic conditions enhance the desorption of <inline-formula><mml:math id="M439" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">137</mml:mn></mml:msup><mml:mi mathvariant="normal">Cs</mml:mi></mml:mrow></mml:math></inline-formula> from mineral particles. Because <inline-formula><mml:math id="M440" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">137</mml:mn></mml:msup><mml:mi mathvariant="normal">Cs</mml:mi></mml:mrow></mml:math></inline-formula> bound to clay minerals is more readily exchanged with <inline-formula><mml:math id="M441" display="inline"><mml:mrow class="chem"><mml:msubsup><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">4</mml:mn><mml:mo>+</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula> than with <inline-formula><mml:math id="M442" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="normal">K</mml:mi><mml:mo>+</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula> (Wauters et al., 1996), not only the temperature-dependent decrease in the distribution coefficient but also the production of <inline-formula><mml:math id="M443" display="inline"><mml:mrow class="chem"><mml:msubsup><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">4</mml:mn><mml:mo>+</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula> under warm and anaerobic summer conditions may promote the desorption of <inline-formula><mml:math id="M444" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">137</mml:mn></mml:msup><mml:mi mathvariant="normal">Cs</mml:mi></mml:mrow></mml:math></inline-formula> from bottom sediments in coastal environments, thereby supplying <inline-formula><mml:math id="M445" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">137</mml:mn></mml:msup><mml:mi mathvariant="normal">Cs</mml:mi></mml:mrow></mml:math></inline-formula> to the overlying seawater by tidal pumping.</p>
      <p id="d2e5974">In this study, the fluxes of dissolved <inline-formula><mml:math id="M446" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">137</mml:mn></mml:msup><mml:mi mathvariant="normal">Cs</mml:mi></mml:mrow></mml:math></inline-formula> supplied to the lagoon from rivers and bottom sediments were estimated to be 14.3–65.4 MBq 12 h<sup>−1</sup> from June to October and 1.9–13.1 MBq 12 h<sup>−1</sup> from December to February. Niida et al. (2022) estimated the fluxes of <inline-formula><mml:math id="M449" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">137</mml:mn></mml:msup><mml:mi mathvariant="normal">Cs</mml:mi></mml:mrow></mml:math></inline-formula> exported to the Pacific Ocean during 27–29 July 2020, when the total rainfall was approximately 80 mm, were 107, 120 and 109 MBq in the Niida, Ukedo and Takase River catchment. These rivers and their catchments are located closer to FDNPP than Matsukawa-ura and have a much higher <inline-formula><mml:math id="M450" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">137</mml:mn></mml:msup><mml:mi mathvariant="normal">Cs</mml:mi></mml:mrow></mml:math></inline-formula> inventories (853, 2359, and 701 <inline-formula><mml:math id="M451" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">kBq</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>). These fluxes are comparable to the estimated daily flux of dissolved <inline-formula><mml:math id="M452" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">137</mml:mn></mml:msup><mml:mi mathvariant="normal">Cs</mml:mi></mml:mrow></mml:math></inline-formula> exported from Matsukawa-ura into the Pacific Ocean during summer. In contrast, based on the results of a survey conducted by Naulier et al. (2017) in October 2014, the fluxes of dissolved <inline-formula><mml:math id="M453" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">137</mml:mn></mml:msup><mml:mi mathvariant="normal">Cs</mml:mi></mml:mrow></mml:math></inline-formula> exporting to the Pacific Ocean from Mano, Niida, and Ota River, which are located in northern Fukushima Prefecture, were calculated to be 10.7, 15.1, and 9.3 MBq 12 h<sup>−1</sup>, respectively. These comparisons indicate that the impact of dissolved <inline-formula><mml:math id="M455" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">137</mml:mn></mml:msup><mml:mi mathvariant="normal">Cs</mml:mi></mml:mrow></mml:math></inline-formula> export from Matsukawa-ura lagoon to coastal waters is relatively large in summer. Based on our results, we conclude that <inline-formula><mml:math id="M456" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">137</mml:mn></mml:msup><mml:mi mathvariant="normal">Cs</mml:mi></mml:mrow></mml:math></inline-formula> in bottom sediments, deposited during the early stages of FDNPP accident, gradually dissolves when pore waters are exposed to seawater entering the lagoon, and that warmer seawater temperatures during the summer may further accelerate the dissolution process. This mechanism likely plays an important role in the spatiotemporal redistribution of <inline-formula><mml:math id="M457" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">137</mml:mn></mml:msup><mml:mi mathvariant="normal">Cs</mml:mi></mml:mrow></mml:math></inline-formula> in the coastal waters of Fukushima Prefecture.</p>
</sec>
</sec>
</sec>
<sec id="Ch1.S4" sec-type="conclusions">
  <label>4</label><title>Conclusion</title>
      <p id="d2e6139">We investigated the spatial and seasonal dynamics of <inline-formula><mml:math id="M458" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">137</mml:mn></mml:msup><mml:mi mathvariant="normal">Cs</mml:mi></mml:mrow></mml:math></inline-formula> in Matsukawa-ura lagoon, a semi-enclosed estuarine system located approximately 40 km north of the Fukushima Daiichi Nuclear Power Plant, Japan. Dissolved <inline-formula><mml:math id="M459" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">137</mml:mn></mml:msup><mml:mi mathvariant="normal">Cs</mml:mi></mml:mrow></mml:math></inline-formula> concentrations in the lagoon were higher than those in river water flowing into the lagoon and in adjacent coastal seawater, indicating the influence of desorption from suspended sediments associated with increasing salinity. In addition, dissolved <inline-formula><mml:math id="M460" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">137</mml:mn></mml:msup><mml:mi mathvariant="normal">Cs</mml:mi></mml:mrow></mml:math></inline-formula> concentrations in the lagoon were higher in summer and lower in winter, demonstrating a clear influence of water temperature.</p>
      <p id="d2e6178">Quantification of source contributions using a simplified box-model estimate approach revealed that the supply of dissolved <inline-formula><mml:math id="M461" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">137</mml:mn></mml:msup><mml:mi mathvariant="normal">Cs</mml:mi></mml:mrow></mml:math></inline-formula> from bottom sediments was much greater than that from rivers and suspended sediments. These results indicate that continuous terrestrial inputs of <inline-formula><mml:math id="M462" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">137</mml:mn></mml:msup><mml:mi mathvariant="normal">Cs</mml:mi></mml:mrow></mml:math></inline-formula> are unlikely to control the spatiotemporal variability of dissolved <inline-formula><mml:math id="M463" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">137</mml:mn></mml:msup><mml:mi mathvariant="normal">Cs</mml:mi></mml:mrow></mml:math></inline-formula> concentrations in the lagoon. Instead, we conclude that <inline-formula><mml:math id="M464" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">137</mml:mn></mml:msup><mml:mi mathvariant="normal">Cs</mml:mi></mml:mrow></mml:math></inline-formula> deposited in bottom sediments during the early stage of the Fukushima Daiichi Nuclear Power Plant accident is gradually released as pore waters are exposed to seawater entering the lagoon. Moreover, higher summer seawater temperatures likely accelerate the release of <inline-formula><mml:math id="M465" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">137</mml:mn></mml:msup><mml:mi mathvariant="normal">Cs</mml:mi></mml:mrow></mml:math></inline-formula> from bottom sediments.</p>
      <p id="d2e6241">The daily flux of dissolved <inline-formula><mml:math id="M466" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">137</mml:mn></mml:msup><mml:mi mathvariant="normal">Cs</mml:mi></mml:mrow></mml:math></inline-formula> exported from Matsukawa-ura lagoon to the Pacific Ocean during summer is comparable to the flux exported from major rivers in Fukushima Prefecture under high-flow conditions. This finding indicates that, to better understand the causes of elevated dissolved <inline-formula><mml:math id="M467" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">137</mml:mn></mml:msup><mml:mi mathvariant="normal">Cs</mml:mi></mml:mrow></mml:math></inline-formula> concentrations in coastal waters of Fukushima Prefecture, it is essential to strengthen monitoring of bottom sediments and pore waters, particularly in estuaries and coastal areas, in order to clarify the dynamics and impacts of <inline-formula><mml:math id="M468" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">137</mml:mn></mml:msup><mml:mi mathvariant="normal">Cs</mml:mi></mml:mrow></mml:math></inline-formula> released from sediments. Future studies should further investigate the relationships between <inline-formula><mml:math id="M469" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">137</mml:mn></mml:msup><mml:mi mathvariant="normal">Cs</mml:mi></mml:mrow></mml:math></inline-formula> concentrations in bottom sediments and pore waters in estuarine and coastal environments, with particular attention to seasonal variations in water temperature as well as water quality.</p>
</sec>

      
      </body>
    <back><notes notes-type="codeavailability"><title>Code availability</title>

      <p id="d2e6296">No custom code was developed for this study. Spatial analyses, including Voronoi partitioning and area calculations, were performed using QGIS (version 3.40). QGIS is open-source software and is available at <uri>https://qgis.org</uri> (last access: 2 April 2025).</p>
  </notes><notes notes-type="dataavailability"><title>Data availability</title>

      <p id="d2e6305">The data supporting the findings of this study are available within the article and its Supplement.</p>
  </notes><app-group>
        <supplementary-material position="anchor"><p id="d2e6308">The supplement related to this article is available online at <inline-supplementary-material xlink:href="https://doi.org/10.5194/bg-23-3591-2026-supplement" xlink:title="pdf">https://doi.org/10.5194/bg-23-3591-2026-supplement</inline-supplementary-material>.</p></supplementary-material>
        </app-group><notes notes-type="authorcontribution"><title>Author contributions</title>

      <p id="d2e6317">The manuscript was written through contributions of all authors. All authors have given approval to the final version of the manuscript.</p>
  </notes><notes notes-type="competinginterests"><title>Competing interests</title>

      <p id="d2e6323">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="d2e6329">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="d2e6335">We are grateful to researchers of the Fukushima Prefectural Research Institute of Fisheries Resources for their cooperation during sampling.</p></ack><notes notes-type="financialsupport"><title>Financial support</title>

      <p id="d2e6340">This research is an achievement of “Stabilizing resources through effective release of seedlings using ICT infrastructure” (grant nos. JPFR23060109, JPFR24060109, JPFR25060109) among advanced technology development projects in the field of agriculture, forestry and fisheries (Fukushima Institute for Research, Education and Innovation (F-REI)).</p>
  </notes><notes notes-type="reviewstatement"><title>Review statement</title>

      <p id="d2e6346">This paper was edited by Tina Treude and reviewed by two anonymous referees.</p>
  </notes><ref-list>
    <title>References</title>

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