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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-23-7993-2026</article-id><title-group><article-title>Fate of legacy ammonium in the coastal Baltic Sea</article-title><alt-title>Fate of legacy ammonium in the coastal Baltic Sea</alt-title>
      </title-group>
      <contrib-group>
        <contrib contrib-type="author" equal-contrib="yes" corresp="yes" rid="aff1 aff2 aff3">
          <name><surname>Hellemann</surname><given-names>Dana</given-names></name>
          <email>danahellemann@gmail.com</email>
        <ext-link>https://orcid.org/0000-0002-6967-3129</ext-link></contrib>
        <contrib contrib-type="author" equal-contrib="yes" corresp="yes" rid="aff4 aff5">
          <name><surname>Sun</surname><given-names>Xiaole</given-names></name>
          <email>sunxle@mail.sysu.edu.cn</email>
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff2 aff6">
          <name><surname>Jilbert</surname><given-names>Tom</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff5 aff7 aff9">
          <name><surname>Ehrnsten</surname><given-names>Eva</given-names></name>
          
        <ext-link>https://orcid.org/0000-0002-8960-8252</ext-link></contrib>
        <contrib contrib-type="author" corresp="no" rid="aff5">
          <name><surname>Gustafsson</surname><given-names>Bo</given-names></name>
          
        <ext-link>https://orcid.org/0000-0003-1048-8452</ext-link></contrib>
        <contrib contrib-type="author" corresp="no" rid="aff8">
          <name><surname>Harris</surname><given-names>Lora</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff5">
          <name><surname>Humborg</surname><given-names>Christoph</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff5">
          <name><surname>Müller-Karulis</surname><given-names>Bärbel</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff2">
          <name><surname>Norkko</surname><given-names>Alf</given-names></name>
          
        </contrib>
        <aff id="aff1"><label>1</label><institution>Department of Environmental Sciences, University of Helsinki, 00014 Helsinki, Finland </institution>
        </aff>
        <aff id="aff2"><label>2</label><institution>Tvärminne Zoological Station, University of Helsinki, 10900 Hanko, Finland</institution>
        </aff>
        <aff id="aff3"><label>3</label><institution>Marine- and Freshwater Solutions, Finnish Environment Institute, 00790 Helsinki, Finland </institution>
        </aff>
        <aff id="aff4"><label>4</label><institution>School of Marine Sciences, Sun Yat-sen University, 519082 Zhuhai, China </institution>
        </aff>
        <aff id="aff5"><label>5</label><institution>Baltic Sea Centre, Stockholm University, 10691 Stockholm, Sweden</institution>
        </aff>
        <aff id="aff6"><label>6</label><institution>Department of Geosciences and Geography, University of Helsinki, 00014 Helsinki, Finland </institution>
        </aff>
        <aff id="aff7"><label>7</label><institution>Zoological Institute and Museum, University of Greifswald, 17489 Greifswald, Germany </institution>
        </aff>
        <aff id="aff8"><label>8</label><institution>Chesapeake Biological Laboratory, University of Maryland Center for Environmental Science, 20688 Solomons, MD, USA</institution>
        </aff>
        <aff id="aff9"><label>a</label><institution>now at: Baltic Sea Centre, Stockholm University, 10691 Stockholm, Sweden</institution>
        </aff><author-comment content-type="econtrib"><p>These authors contributed equally to this work.</p></author-comment>
      </contrib-group>
      <author-notes><corresp id="corr1">Dana Hellemann (danahellemann@gmail.com) and Xiaole Sun (sunxle@mail.sysu.edu.cn)</corresp></author-notes><pub-date><day>9</day><month>November</month><year>2026</year></pub-date>
      
      <volume>23</volume>
      <issue>21</issue>
      <fpage>7993</fpage><lpage>8015</lpage>
      <history>
        <date date-type="received"><day>25</day><month>February</month><year>2026</year></date>
           <date date-type="rev-request"><day>3</day><month>March</month><year>2026</year></date>
           <date date-type="rev-recd"><day>27</day><month>August</month><year>2026</year></date>
           <date date-type="accepted"><day>15</day><month>October</month><year>2026</year></date>
      </history>
      <permissions>
        <copyright-statement>Copyright: © 2026 Dana Hellemann 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/23/7993/2026/bg-23-7993-2026.html">This article is available from https://bg.copernicus.org/articles/23/7993/2026/bg-23-7993-2026.html</self-uri><self-uri xlink:href="https://bg.copernicus.org/articles/23/7993/2026/bg-23-7993-2026.pdf">The full text article is available as a PDF file from https://bg.copernicus.org/articles/23/7993/2026/bg-23-7993-2026.pdf</self-uri>
      <abstract><title>Abstract</title>

      <p id="d2e214">Eutrophication has enriched coastal sediments globally with organic matter (OM), fuelling internal nutrient loading once benthic hypoxia occurs. Internal ammonium (<inline-formula><mml:math id="M1" 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>) loading may be particularly prominent in the coastal Baltic Sea due to the existence of a substantial <inline-formula><mml:math id="M2" 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> pool in its sediments, accumulated via OM deposition and mineralization over long-term eutrophication. However, despite its potential to exacerbate eutrophication, internal <inline-formula><mml:math id="M3" 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> loading has so far received little attention in the coastal Baltic Sea and it remains poorly understood for how long the sediment <inline-formula><mml:math id="M4" 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> pool could sustain internal <inline-formula><mml:math id="M5" 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> loading via sediment-water <inline-formula><mml:math id="M6" 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> effluxes, especially under varying oxygen availabilities. To reconstruct past and predict future <inline-formula><mml:math id="M7" 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> effluxes in response to different OM loading and bottom water oxygen conditions, we developed a reactive transport model for muddy, OM-rich sediments of the coastal Baltic Sea. Our model results suggest a strong legacy effect in the sediment <inline-formula><mml:math id="M8" 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> pool, driven by mineralization of OM that accumulated during past and ongoing eutrophication, as expected. The influence of the sediment <inline-formula><mml:math id="M9" 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> pool on the sediment-water <inline-formula><mml:math id="M10" 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> effluxes in our model is, however, smaller than the direct influence of the external OM loading. The sediment <inline-formula><mml:math id="M11" 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> pool keeps the sediment-water <inline-formula><mml:math id="M12" 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> effluxes 5 %–10 % elevated compared to pre-industrial baseline values for at least 140 years after OM loading has reached constant baseline levels, albeit at a small efflux magnitude. While this magnitude can increase under increasing OM loading and oxygen deficiency, the overall legacy effect on the <inline-formula><mml:math id="M13" 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> effluxes from coastal sediments is mild and the <inline-formula><mml:math id="M14" 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> effluxes react well to external OM load reductions. If strict OM load reductions following the direction of the Baltic Sea Action Plan are implemented, sediment-water <inline-formula><mml:math id="M15" 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> effluxes can naturally return to a level similar to the 1950s, the start of widespread eutrophication, within 110 years, given that sediments stay normoxic and bioturbated during the reduction period. Without external OM load reductions, sediment-water <inline-formula><mml:math id="M16" 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> effluxes stay indefinitely elevated and fuel continuous internal <inline-formula><mml:math id="M17" 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> loading to the coastal system. Our findings highlight the complexity of eutrophication legacy effects in regard to the sediment pool and sediment-water efflux of <inline-formula><mml:math id="M18" 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>, and their varying impact on the coastal Baltic Sea ecosystem. The knowledge obtained is beneficial also for other anthropogenically impacted coastal seas with similar geomorphology as the Baltic Sea.</p>
  </abstract>
    
<funding-group>
<award-group id="gs1">
<funding-source>National Key Research and Development Program of China</funding-source>
<award-id>2023YFF0807102</award-id>
</award-group>
</funding-group>
</article-meta>
  </front>
<body>
      

      
<sec id="Ch1.S1" sec-type="intro">
  <label>1</label><title>Introduction</title>
      <p id="d2e465">Excessive land-derived nutrient loading has led to eutrophication of the coastal oceans globally, thereby strongly enriching these systems with organic matter (OM). The combination of high production rate and fast sedimentation of OM in coastal systems can quickly deplete oxygen (<inline-formula><mml:math id="M19" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>) in the benthic habitat, leading not only to ecosystem degradation (Breitburg et al., 2018) but also to the rapid accumulation of OM in sediments, creating a eutrophication-induced OM legacy pool (Gustafsson et al., 2012). Over time, aerobic and anaerobic mineralization of this OM generates nutrient pools in the sediment, including ammonium (<inline-formula><mml:math id="M20" 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>) and dissolved inorganic phosphorous (DIP; Aller, 2014). The retention (DIP) and turnover (<inline-formula><mml:math id="M21" 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>) of these nutrients within the sediment is usually high under oxic bottom water conditions; yet, when benthic hypoxia (<inline-formula><mml:math id="M22" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> concentration <inline-formula><mml:math id="M23" display="inline"><mml:mrow><mml:mo>&lt;</mml:mo><mml:mn mathvariant="normal">63</mml:mn><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi><mml:mi mathvariant="normal">M</mml:mi></mml:mrow></mml:mrow></mml:math></inline-formula> or 2 mg <inline-formula><mml:math id="M24" display="inline"><mml:mrow class="unit"><mml:msup><mml:mi mathvariant="normal">L</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>, Middelburg and Levin, 2009) develops, both nutrients are preferentially released into the water column (Koop et al., 1990; Cowan and Boynton, 1996; Norkko et al., 2015), leading to internal nutrient loading with high potential to reinforce eutrophication (Pitkänen et al., 2001; Conley et al., 2007). Research on internal nutrient loading has often focused on DIP due to its crucial role in the repeated occurrences of massive cyanobacteria blooms and close coupling to metal cycling (Conley et al., 2002; Vahtera et al., 2007; Viktorsson et al., 2013; Matisoff et al., 2016), whereas internal <inline-formula><mml:math id="M25" 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> loading has so far received little attention. This omission is a critical oversight, considering that excess bioavailable nitrogen (N) is a key driver of coastal eutrophication (Ryther and Dunstan, 1971).</p>

      <fig id="F1" specific-use="star"><label>Figure 1</label><caption><p id="d2e562"><bold>(a)</bold> Sediment-water ammonium (<inline-formula><mml:math id="M26" 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>) efflux at different bottom water oxygen (BW <inline-formula><mml:math id="M27" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>) concentrations from coastal sites around the world, and <bold>(b)</bold> statistical significance (<inline-formula><mml:math id="M28" display="inline"><mml:mrow><mml:mi>p</mml:mi><mml:mo>≤</mml:mo><mml:mn mathvariant="normal">0.05</mml:mn></mml:mrow></mml:math></inline-formula>) of each site's relationship between <inline-formula><mml:math id="M29" 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> efflux and BW <inline-formula><mml:math id="M30" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> tested with linear regression analysis (<inline-formula><mml:math id="M31" display="inline"><mml:mrow><mml:mi>n</mml:mi><mml:mo>=</mml:mo><mml:mtext>number</mml:mtext></mml:mrow></mml:math></inline-formula> of measurements, <inline-formula><mml:math id="M32" display="inline"><mml:mrow><mml:mo>*</mml:mo><mml:mo>=</mml:mo><mml:mtext>statistical</mml:mtext></mml:mrow></mml:math></inline-formula> significance; 0 µM <inline-formula><mml:math id="M33" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> was changed to 0.1 µM <inline-formula><mml:math id="M34" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> to conform with the analysis). Sites include the Oregon Shelf (Fuchsman et al., 2015), northern Gulf of Mexico (McCarthy et al., 2008; Nunnally et al., 2014; Roberts and Doty, 2015), Chesapeake Bay (Cowan and Boynton, 1996; Testa and Kemp, 2012), Waquoit Bay (Foster and Fulweiler, 2019), Orust Fjord (Norkko et al., 2019), Baltic Sea (Conley et al., 2007; Bonaglia et al., 2014; Ekeroth et al., 2016; Gammal et al., 2017), Mandovi Estuary (Pratihary et al., 2009), Bohai Bay (Mu et al., 2017), coastal East China Sea (Song et al., 2021), Jinhae Bay (Huang and An, 2022), and Derwent Estuary (Banks et al., 2012). All data originate from core- or chamber-incubations and were included in this overview if they supplied <inline-formula><mml:math id="M35" 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> flux measurements under varying <inline-formula><mml:math id="M36" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> concentrations; we do not claim an exhaustive literature review, such as can be found by Boynton et al. (2017). <inline-formula><mml:math id="M37" 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> effluxes are given as average of replicate measurements per investigation without standard-deviation or -error; <inline-formula><mml:math id="M38" 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> uptake into the sediment is shown as zero efflux. The red dashed line gives the limit of hypoxia (<inline-formula><mml:math id="M39" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M40" display="inline"><mml:mrow><mml:mtext>concentration</mml:mtext><mml:mo>&lt;</mml:mo><mml:mn mathvariant="normal">63</mml:mn><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi><mml:mi mathvariant="normal">M</mml:mi></mml:mrow></mml:mrow></mml:math></inline-formula>, <inline-formula><mml:math id="M41" display="inline"><mml:mrow><mml:mtext>resp.</mml:mtext><mml:mo>&lt;</mml:mo><mml:mn mathvariant="normal">2</mml:mn><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mrow class="unit"><mml:mi mathvariant="normal">mg</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">L</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:mrow></mml:math></inline-formula>, Middelburg and Levin, 2009). Map is drawn with Ocean Data View (Schlitzer, 2023).</p></caption>
        <graphic xlink:href="https://bg.copernicus.org/articles/23/7993/2026/bg-23-7993-2026-f01.png"/>

      </fig>

      <p id="d2e788">Internal <inline-formula><mml:math id="M42" 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> loading may be particularly prominent in the long-term eutrophied coastal Baltic Sea (defined here as the coastal areas of the Baltic Sea extending one nautical mile seaward from territorial water baselines, following the Water Framework Directive; European Communities, 2003). Compared to coastal regions worldwide, the coastal Baltic Sea displays the highest sediment-water <inline-formula><mml:math id="M43" 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> effluxes of all studied sites and a highly pronounced relationship between <inline-formula><mml:math id="M44" 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> efflux and bottom water <inline-formula><mml:math id="M45" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> condition (Fig. 1A). <inline-formula><mml:math id="M46" 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> effluxes increase significantly with decreasing <inline-formula><mml:math id="M47" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> concentrations across all investigated sites in the coastal Baltic Sea, despite their dispersed geographic locations (Denmark, Sweden, and Finland) and only moderate number of replicates in the cited studies (<inline-formula><mml:math id="M48" display="inline"><mml:mrow><mml:mi>n</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">6</mml:mn></mml:mrow></mml:math></inline-formula>–14; Fig. 1B).</p>
      <p id="d2e879">This clear pattern might be explained by Baltic Sea-specific environmental factors that reduce the influence of natural variability in measurements, such as low species diversity, negligible tidal influence, and a long water residence time, as well as by the presence of a significant benthic legacy pool of <inline-formula><mml:math id="M49" 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>. Since the acceleration of Baltic Sea eutrophication in the 1950s (Zillen and Conley, 2010; Gustafsson et al., 2012), OM and eventually <inline-formula><mml:math id="M50" 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> have accumulated in the porewaters of muddy accumulation bottoms, visible today as characteristic <inline-formula><mml:math id="M51" 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> profiles of strongly increasing concentrations with depth that are consistent across seasons (Fig. 2). In a first-order estimate, using coastal boundaries as defined above (European Communities, 2003), coastal sediment classifications from Al-Hamdani and Reker (2007), and example porewater <inline-formula><mml:math id="M52" 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> profiles from representative sandy (site VE15, southern Bay of Gdansk, Thoms et al., 2018) and muddy (site Storfjärden, north-western Gulf of Finland, D. Hellemann Fig. 2) sediments, we suggest that <inline-formula><mml:math id="M53" display="inline"><mml:mrow><mml:mo>&gt;</mml:mo><mml:mn mathvariant="normal">100</mml:mn><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mrow class="unit"><mml:mi mathvariant="normal">kt</mml:mi></mml:mrow></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M54" 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> could be stored in the top 20 cm of Baltic Sea coastal sediments. This benthic pool of <inline-formula><mml:math id="M55" 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> is not only larger than the pelagic pool of dissolved inorganic nitrogen (DIN) in the coastal Baltic Sea, estimated at <inline-formula><mml:math id="M56" display="inline"><mml:mrow><mml:mo>∼</mml:mo><mml:mn mathvariant="normal">61</mml:mn><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mrow class="unit"><mml:mi mathvariant="normal">kt</mml:mi></mml:mrow></mml:mrow></mml:math></inline-formula> N using a 21 % share of DIN in total nitrogen (TN; C. Lønborg, pers. comm.) and a coastal pelagic TN pool estimate from Lønborg and Markager (2021), but, furthermore, it is only a minimum estimate of the entire <inline-formula><mml:math id="M57" 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> pool in coastal Baltic Sea sediments considering that concentrations continue to increase with depth below 20 cm.</p>

      <fig id="F2" specific-use="star"><label>Figure 2</label><caption><p id="d2e1004">Example porewater profiles of ammonium (<inline-formula><mml:math id="M58" 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>) in muddy sediments of the coastal Baltic Sea, taken from <bold>(a)</bold> site Storfjärden (33 m deep, April–October 2016) and <bold>(b)</bold> site Långholmsbranten (21 m deep, December 2022–November 2023), both north-western Gulf of Finland; data: D. Hellemann. The pattern of <inline-formula><mml:math id="M59" 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 increasing with sediment depth and not showing significant variations between seasons is in line with profiles from other muddy sites of the coastal Baltic Sea, such as the Himmerfjärden estuary, western Baltic Proper (Bonaglia et al., 2014), and the coastal Luebeck Bight and Tromper Wiek, south-western Arkona Basin (Gogina et al., 2018).</p></caption>
        <graphic xlink:href="https://bg.copernicus.org/articles/23/7993/2026/bg-23-7993-2026-f02.png"/>

      </fig>

      <p id="d2e1045">The impact of this sediment <inline-formula><mml:math id="M60" 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> pool on pelagic processes is largely regulated by <inline-formula><mml:math id="M61" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> availability, although factors such as OM availability and benthic infauna also affect the magnitude of sediment-water fluxes (Boynton et al., 2017). Commonly, under normoxic conditions, a substantial portion of the <inline-formula><mml:math id="M62" 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> that diffuses upwards from porewater is oxidized to nitrate (<inline-formula><mml:math id="M63" display="inline"><mml:mrow class="chem"><mml:msubsup><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">3</mml:mn><mml:mo>-</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula>) via nitrification in the oxic surface sediment and subsequently is reduced to bio-unavailable di-nitrogen gas (<inline-formula><mml:math id="M64" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>) via denitrification in the underlying anoxic sediment (Fig. 3A). The same also happens in the numerous 3-dimensional oxic-anoxic interfaces created by benthic infauna (Andersen and Kristensen, 1991). Further, microphytobenthos, if present on the sediment surface, can intercept and assimilate nutrients effluxing from the underlying sediments (Sundbäck and Miles, 2000). Together, these factors commonly buffer against large <inline-formula><mml:math id="M65" 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> effluxes from the sediment, leaving only residual fluxes originating from, for example, faunal activity (Andersen and Kristensen, 1991; Karlson et al., 2007). When benthic hypoxia or anoxia develops, the oxic sediment surface is lost, benthic infauna and microphytobenthos are extirpated, and the benthic N turnover processes change from N removal to N recycling (Kemp et al., 1990; Jensen et al., 1990; Childs et al., 2002; Karlson et al., 2007; Jäntti and Hietanen, 2012). The extent of these effects depends on frequency and duration of <inline-formula><mml:math id="M66" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> deficiency (Conley et al., 2007; Jäntti and Hietanen, 2012; Villnäs et al., 2012), but they all fuel <inline-formula><mml:math id="M67" 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> release into the water column compared to normoxic conditions, enriching the pelagic pool of bioavailable N (Fig. 3B). While exceptions to this pattern exist (Foster and Fulweiler, 2019; Testa et al., 2025), the available field data from the coastal Baltic Sea show a significant trend following this paradigm, resulting in internal loading of bioavailable N under hypoxia (Fig. 1). In the open Baltic Sea, such internal N load would be efficiently removed via denitrification at the redoxcline of the permanently hypoxic deep waters (Hietanen et al., 2012; Dalsgaard et al., 2013). However, in the coastal Baltic Sea, pelagic denitrification is not a common feature as density- and wind-driven water mixing usually prevent large-scale permanent hypoxia (Leppäranta and Myrberg, 2009; Conley et al., 2011) and thus the establishment of a pelagic denitrifier community (Falk et al., 2007; Kim et al., 2011). Consequently, in the coastal Baltic Sea, the internal N load from sediment-water <inline-formula><mml:math id="M68" 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> effluxes remains in the pelagic system and is thus available for coastal primary production, potentially enhancing coastal eutrophication.</p>

      <fig id="F3" specific-use="star"><label>Figure 3</label><caption><p id="d2e1162">Conceptualized ammonium (<inline-formula><mml:math id="M69" 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>) turnover in coastal sediments under <bold>(a)</bold> normoxic and <bold>(b)</bold> hypoxic conditions, based on Kemp et al. (1990), Jensen et al. (1990), Conley et al. (2007), Jäntti and Hietanen (2012) and others. Bioavailable nitrogen (N)-compounds shown in green, non-bioavailable N-compounds shown in violet. Arrow thickness symbolizes relative flux magnitude; font size symbolizes relative compound abundance. Anaerobic ammonium oxidation is not shown as it is often negligible in organic-rich coastal sediments (Dalsgaard et al., 2005). <bold>(a) </bold>Normoxic conditions: <inline-formula><mml:math id="M70" 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> efflux across the sediment-water interface is small, as most of the upwards diffusing <inline-formula><mml:math id="M71" 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> is oxidized to nitrate (<inline-formula><mml:math id="M72" display="inline"><mml:mrow class="chem"><mml:msubsup><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">3</mml:mn><mml:mo>-</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula>; nitrification) when passing the oxic sediment layer. Due to typically strong coupling of nitrification and denitrification in coastal sediments, most of the resulting <inline-formula><mml:math id="M73" display="inline"><mml:mrow class="chem"><mml:msubsup><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">3</mml:mn><mml:mo>-</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula> is subsequently reduced to non-bioavailable di-nitrogen gas (<inline-formula><mml:math id="M74" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>; denitrification) in the anoxic sediment layer. Hence, the addition of bioavailable N compounds to the water column is relatively small. <bold>(b)</bold> Hypoxic conditions: <inline-formula><mml:math id="M75" 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> efflux across the sediment-water interface is large, as the oxic sediment layer is lost, disabling nitrification in the sediment and thus the transformation of upwards diffusing <inline-formula><mml:math id="M76" 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> to <inline-formula><mml:math id="M77" display="inline"><mml:mrow class="chem"><mml:msubsup><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">3</mml:mn><mml:mo>-</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula> and its subsequent removal in denitrification. Once in the water column, <inline-formula><mml:math id="M78" 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> accumulates under hypoxic conditions or is oxidized to <inline-formula><mml:math id="M79" display="inline"><mml:mrow class="chem"><mml:msubsup><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">3</mml:mn><mml:mo>-</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula> under oxic conditions, either way increasing the pelagic pool of bioavailable N. Some of this water column <inline-formula><mml:math id="M80" display="inline"><mml:mrow class="chem"><mml:msubsup><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">3</mml:mn><mml:mo>-</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula> can be expected to diffuse back into the sediment where it can be removed in denitrification or transformed to <inline-formula><mml:math id="M81" 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> in dissimilatory nitrate reduction to ammonium (DNRA); however, being subject to a dynamic coastal system, the additional N might also be quickly exported to other water layers and, for instance, taken up in primary production. If hydrogen sulphide (<inline-formula><mml:math id="M82" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">H</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">S</mml:mi></mml:mrow></mml:math></inline-formula>) builds up in the surface sediment, DNRA commonly dominates over denitrification (Jäntti et al., 2021), further enriching the <inline-formula><mml:math id="M83" 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> pool.</p></caption>
        <graphic xlink:href="https://bg.copernicus.org/articles/23/7993/2026/bg-23-7993-2026-f03.png"/>

      </fig>

      <p id="d2e1379">The timeline of internal <inline-formula><mml:math id="M84" 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> loading affecting the Baltic Sea coastal ecosystem is uncertain, as the long-term fate and persistence of the sediment <inline-formula><mml:math id="M85" 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> pool is largely unknown. For the TN pool in Baltic Sea sediments, Lønborg and Markager (2021) suggest a legacy effect of several centuries. This gap in knowledge limits the capacity of eutrophication mitigation measures, such as the Baltic Sea Action Plan (BSAP), an agreement between the Baltic states on specific actions to bring the Baltic Sea back to a good environmental status (HELCOM, 2007, 2021). Coastal hypoxia is likely to increase in the future due to climate change driven water warming (Caballero-Alfonso et al., 2015; Breitburg et al., 2018), increasing the potential for internal <inline-formula><mml:math id="M86" 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> loading. Furthermore, present-day OM loading to coastal Baltic Sea sediments remains at <inline-formula><mml:math id="M87" display="inline"><mml:mrow><mml:mo>∼</mml:mo><mml:mn mathvariant="normal">10</mml:mn><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mrow class="unit"><mml:mi mathvariant="normal">mmol</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mi mathvariant="normal">C</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">m</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:msup><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">d</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:mrow></mml:math></inline-formula> (estimated from the physical-biogeochemical BALTSEM model, Gustafsson et al., 2012), which is lower than the peak loading of <inline-formula><mml:math id="M88" display="inline"><mml:mrow><mml:mo>∼</mml:mo><mml:mn mathvariant="normal">14</mml:mn><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mrow class="unit"><mml:mi mathvariant="normal">mmol</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mi mathvariant="normal">C</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">m</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:msup><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">d</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:mrow></mml:math></inline-formula> in the 1990s, but still several-fold higher than before the onset of eutrophication (Fig. 4a). As a result, new OM is continuously added to sediments still containing the OM legacy from past eutrophication, which is likely to extend the lifetime of the existing sediment <inline-formula><mml:math id="M89" 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> pool and its potential to impact the coastal ecosystem.</p>
      <p id="d2e1506">Interestingly, while data from the Chesapeake Bay and the Derwent Estuary also show a significant relationship between sediment-water <inline-formula><mml:math id="M90" 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> efflux and <inline-formula><mml:math id="M91" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> deficiency (Fig. 1B), the <inline-formula><mml:math id="M92" 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> porewater profiles of the Chesapeake Bay do not indicate the existence of a <inline-formula><mml:math id="M93" 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> legacy pool (Kemp et al., 1990; Boynton et al., 2017; no porewater data available for the Derwent Estuary). Despite a eutrophication history similar to the Baltic Sea, the OM deposition environment of the Chesapeake Bay does not seem to support the build-up of benthic legacy pools, owing to higher energy of physical processes, including tidal flushing, and shorter water residence time due to a more open geomorphology. Hence, eutrophication-induced legacy effects similar to the ones from the coastal Baltic Sea might be expected more commonly in eutrophic systems of a semi- to fully enclosed geomorphology and long water residence time, such as the Black Sea (BSC, 2019), Sea of Marmara (Demirel et al., 2023; Akçay et al., 2025) or even inland waters such as Lake Erie (Watson et al., 2016). Owing to its unique data-richness, the coastal Baltic Sea can serve as a key example for these systems and their potential future evolution (Reusch et al., 2018).</p>
</sec>
<sec id="Ch1.S2">
  <label>2</label><title>Reactive transport modelling to investigate benthic <inline-formula><mml:math id="M94" 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> turnover and eutrophication legacy effects</title>
      <p id="d2e1581">To shed light on the long-term fate and persistence of the legacy <inline-formula><mml:math id="M95" 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> pool in sediments of the coastal Baltic Sea, we investigate future scenarios of sediment-water <inline-formula><mml:math id="M96" 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> effluxes in response to OM loading and bottom water <inline-formula><mml:math id="M97" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> availability, using a 1-dimensional reactive transport model (RTM).</p>
<sec id="Ch1.S2.SS1">
  <label>2.1</label><title>Model set-up</title>
      <p id="d2e1628">The 1-dimensional RTM is developed using the R package “ReacTran” (Soetaert and Meysman, 2012) and comprises a multi-component diagenetic setting to examine sediment-water <inline-formula><mml:math id="M98" 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> efflux in response to two different OM loading scenarios and three different bottom water <inline-formula><mml:math id="M99" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> conditions (Table 1). The RTM assumes a 1 m long sediment column, as the top meter of sediment is usually highly reactive and determines the mass exchange between water and sediment. Into this sediment column, the redox ladder of marine OM degradation is fully integrated, so that OM is sequentially oxidized with <inline-formula><mml:math id="M100" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>, <inline-formula><mml:math id="M101" display="inline"><mml:mrow class="chem"><mml:msubsup><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">3</mml:mn><mml:mo>-</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula>, iron and manganese oxides, and sulphate (<inline-formula><mml:math id="M102" display="inline"><mml:mrow class="chem"><mml:msubsup><mml:mi mathvariant="normal">SO</mml:mi><mml:mn mathvariant="normal">4</mml:mn><mml:mrow><mml:mn mathvariant="normal">2</mml:mn><mml:mo>-</mml:mo></mml:mrow></mml:msubsup></mml:mrow></mml:math></inline-formula>), followed by methanogenesis when porewater <inline-formula><mml:math id="M103" display="inline"><mml:mrow class="chem"><mml:msubsup><mml:mi mathvariant="normal">SO</mml:mi><mml:mn mathvariant="normal">4</mml:mn><mml:mrow><mml:mn mathvariant="normal">2</mml:mn><mml:mo>-</mml:mo></mml:mrow></mml:msubsup></mml:mrow></mml:math></inline-formula> concentrations are low. These six primary reactions of OM oxidation are complemented by eight secondary reactions (Appendix A, Table A1), following Reed et al. (2011) with some modifications. All reaction and transport parameters and reaction rates are given in Appendix A (Tables A2 and A3). Nitrification and denitrification, the two main processes controlling benthic N cycling, are also included, whereas anaerobic ammonium oxidation is not considered due to its commonly negligible occurrence in organic-rich coastal sediments (Dalsgaard et al., 2005).</p>
      <p id="d2e1712">Boundary conditions at the top and bottom of the sediment model domain are defined for both solid and liquid phases. For solid phases, an OM deposition flux (<inline-formula><mml:math id="M104" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi><mml:mi mathvariant="normal">mol</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mi mathvariant="normal">C</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">m</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:msup><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">d</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>) derived from the simulation of the BALTSEM model (Gustafsson et al., 2012) is prescribed at the sediment-water interface and as the model runs, the OM accumulates over time in the sediment column or is removed from the domain bottom by deep burial. To describe the deposited OM, the model uses three OM pools: a reactive pool with a molar carbon/nitrogen (<inline-formula><mml:math id="M105" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">C</mml:mi><mml:mo>/</mml:mo><mml:mi mathvariant="normal">N</mml:mi></mml:mrow></mml:math></inline-formula>) ratio of 6.6 representing marine-derived fresh OM (62 % of deposited OM), a less reactive pool with a molar <inline-formula><mml:math id="M106" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">C</mml:mi><mml:mo>/</mml:mo><mml:mi mathvariant="normal">N</mml:mi></mml:mrow></mml:math></inline-formula> ratio of 13 representing terrestrial-derived OM (15 % of deposited OM), and a non-reactive pool that gets buried directly without degradation (23 % of deposited OM), according to model calibration data from Jilbert et al. (2021; see also Appendix A). For liquid phases, the upper boundary condition is set to be a constant bottom water concentration, while the lower boundary is open so that the RTM determines how much ions could be “leaked out” of the model domain via diffusion and deep burial. The ion concentrations of the bottom water are assumed to be constant and zero, except for <inline-formula><mml:math id="M107" display="inline"><mml:mrow class="chem"><mml:msubsup><mml:mi mathvariant="normal">SO</mml:mi><mml:mn mathvariant="normal">4</mml:mn><mml:mrow><mml:mn mathvariant="normal">2</mml:mn><mml:mo>-</mml:mo></mml:mrow></mml:msubsup></mml:mrow></mml:math></inline-formula> (5 <inline-formula><mml:math id="M108" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">mmol</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">L</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>), <inline-formula><mml:math id="M109" display="inline"><mml:mrow class="chem"><mml:msubsup><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">3</mml:mn><mml:mo>-</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula> (0.007 <inline-formula><mml:math id="M110" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">mmol</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">L</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>) and <inline-formula><mml:math id="M111" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> (0, 0.063, and 0.2 <inline-formula><mml:math id="M112" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">mmol</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">L</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>, equivalent to anoxia, hypoxia, and normoxia; Table 1). Together, the set-up allows investigation of how the sediment system responds to changes in OM loading, which in turn regulate the sediment <inline-formula><mml:math id="M113" 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> pool and the sediment-water <inline-formula><mml:math id="M114" 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> efflux.</p>
      <p id="d2e1888">The RTM runs on a 1 cm depth resolution and uses sediment porosities representative of muddy, OM-rich accumulation bottoms, which, with <inline-formula><mml:math id="M115" display="inline"><mml:mrow><mml:mo>∼</mml:mo><mml:mn mathvariant="normal">41</mml:mn><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mi mathvariant="italic">%</mml:mi></mml:mrow></mml:math></inline-formula>, is the predominant bottom type of the coastal Baltic Sea (calculated using Al-Hamdani and Reker, 2007 and coastal boundaries according to European Communities, 2003). The RTM output is given in 1 year time step. To calibrate and verify the model, we used the geochemical porewater profiles and environmental conditions, such as sedimentation rate, nutrient concentrations, and salinity, of the coastal site Storfjärden in the north-western Gulf of Finland (Jilbert et al., 2021, Appendix A, Fig. A1–A3, Table 1; <ext-link xlink:href="https://doi.org/10.5281/zenodo.22120110" ext-link-type="DOI">10.5281/zenodo.22120110</ext-link>).</p>
</sec>
<sec id="Ch1.S2.SS2">
  <label>2.2</label><title>Scenario modelling</title>
      <p id="d2e1915">The OM loading used in the RTM is generated from the BALTSEM model (Gustafsson et al., 2012). Initially, the RTM is run into a steady state using pre-industrial levels of OM flux to the sediment surface as a baseline prior to eutrophication (period 1800–1850). Then, hindcast OM sedimentation rates are used as a forcing from 1850–2020, followed by two future scenarios from 2020–2400: In the “Present scenario”, OM loading is held constant at the 2020 level, and in the “Pre-industrial scenario”, OM loading is reduced in accordance with the BSAP target until 2100, and subsequently continues to decline until pre-industrial levels are reached again around 2160 (Table 1). By adopting this approach, we are able to compare the <inline-formula><mml:math id="M116" 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> pool and fluxes in 2100, when BSAP targets of “good environmental status” are considered to be achieved (Murray et al., 2019), with the later situation when true pre-industrial conditions are re-established. Each scenario is run for three bottom water <inline-formula><mml:math id="M117" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> availabilities (normoxia, hypoxia, and anoxia; Table 1), representing best and worst case <inline-formula><mml:math id="M118" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> conditions. To account for the effects of bioturbating infauna on OM burial and <inline-formula><mml:math id="M119" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> transport during normoxia, we use the empirical parameter <inline-formula><mml:math id="M120" display="inline"><mml:mrow><mml:msub><mml:mi>D</mml:mi><mml:mi mathvariant="normal">b</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> (Boudreau, 1997; Appendix A, Table A2) and furthermore force <inline-formula><mml:math id="M121" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> to penetrate 2 cm deep into the sediment and subsequently to decrease exponentially to 0 µM at 5 cm depth. Initial tests showed no significant difference in <inline-formula><mml:math id="M122" 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> fluxes between a forced <inline-formula><mml:math id="M123" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> penetration depth of 1 or 2 cm. The model code for all simulations can be found at <ext-link xlink:href="https://doi.org/10.5281/zenodo.22120110" ext-link-type="DOI">10.5281/zenodo.22120110</ext-link>.</p>

<table-wrap id="T1" specific-use="star"><label>Table 1</label><caption><p id="d2e2017">Key input variables and scenario assumptions used in the RTM. Salinity, sulphate, and sedimentation rate are adopted from the coastal site Storfjärden, north-western Gulf of Finland. OM <inline-formula><mml:math id="M124" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> organic matter, C <inline-formula><mml:math id="M125" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> carbon, <inline-formula><mml:math id="M126" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M127" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> oxygen, BSAP <inline-formula><mml:math id="M128" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> Baltic Sea Action Plan.</p></caption><oasis:table frame="topbot"><oasis:tgroup cols="7">
     <oasis:colspec colnum="1" colname="col1" align="left"/>
     <oasis:colspec colnum="2" colname="col2" align="left"/>
     <oasis:colspec colnum="3" colname="col3" align="left"/>
     <oasis:colspec colnum="4" colname="col4" align="left" colsep="1"/>
     <oasis:colspec colnum="5" colname="col5" align="left"/>
     <oasis:colspec colnum="6" colname="col6" align="left"/>
     <oasis:colspec colnum="7" colname="col7" align="left"/>
     <oasis:thead>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1"><bold>OM loading scenarios</bold></oasis:entry>
         <oasis:entry namest="col2" nameend="col4" colsep="1">“<bold>Present scenario</bold>” OM loading is held constant at the level of year 2020 (10 338 <inline-formula><mml:math id="M129" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi><mml:mi mathvariant="normal">mol</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mi mathvariant="normal">C</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">m</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:msup><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">d</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>)</oasis:entry>
         <oasis:entry namest="col5" nameend="col7">“<bold>Pre-industrial scenario</bold>” OM loading is reduced according to BSAP targets until 2100, and subsequently further reduced until reaching pre-industrial levels (3719 <inline-formula><mml:math id="M130" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi><mml:mi mathvariant="normal">mol</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mi mathvariant="normal">C</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">m</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:msup><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">d</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>)</oasis:entry>
       </oasis:row>
     </oasis:thead>
     <oasis:tbody>
       <oasis:row>
         <oasis:entry colname="col1"><bold>Bottom water O<sub>2</sub></bold></oasis:entry>
         <oasis:entry colname="col2">Normoxia</oasis:entry>
         <oasis:entry colname="col3">Hypoxia</oasis:entry>
         <oasis:entry colname="col4">Anoxia</oasis:entry>
         <oasis:entry colname="col5">Normoxia</oasis:entry>
         <oasis:entry colname="col6">Hypoxia</oasis:entry>
         <oasis:entry colname="col7">Anoxia</oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1"><bold>conditions</bold></oasis:entry>
         <oasis:entry colname="col2">(200 µM)</oasis:entry>
         <oasis:entry colname="col3">(63 µM)</oasis:entry>
         <oasis:entry colname="col4">(0 µM)</oasis:entry>
         <oasis:entry colname="col5">(200 µM)</oasis:entry>
         <oasis:entry colname="col6">(63 µM)</oasis:entry>
         <oasis:entry colname="col7">(0 µM)</oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1"><bold>Salinity</bold></oasis:entry>
         <oasis:entry namest="col2" nameend="col7" align="center">6 </oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1"><bold>Sulphate (mM)</bold></oasis:entry>
         <oasis:entry namest="col2" nameend="col7" align="center">5 </oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1"><bold>Sedimentation rate (mm yr<sup>–1</sup>)</bold></oasis:entry>
         <oasis:entry namest="col2" nameend="col7" align="center">5 </oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"><bold>OM loading data</bold></oasis:entry>
         <oasis:entry namest="col2" nameend="col7" align="center">BALTSEM model (Gustafsson et al., 2012) </oasis:entry>
       </oasis:row>
     </oasis:tbody>
   </oasis:tgroup></oasis:table></table-wrap>

      <p id="d2e2277">Due to ongoing climate change, bottom water temperatures will likely rise over the modelled future period and affect reaction rates and resulting <inline-formula><mml:math id="M131" 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> effluxes (Boynton et al., 2017), as heterotrophic metabolic processes are expected to increase at twice the rate of autotrophic production (Harris et al., 2006). To provide a first-order assessment of temperature effects on <inline-formula><mml:math id="M132" 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> effluxes, we carried out a sensitivity test by increasing all used rate constants in the model by 20 % (Gudasz et al., 2015). The resulting effect on the modelled <inline-formula><mml:math id="M133" 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> effluxes was negligible, hence, we do not further discuss the effects of climate change on our simulations. However, since our model is a generalization that does not account for variable temperature effects, for example along water depth gradients or seasons, our modelled <inline-formula><mml:math id="M134" 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>effluxes may be considered to represent a lower limit of potential values if bottom waters continue to warm in the future.</p>
</sec>
</sec>
<sec id="Ch1.S3">
  <label>3</label><title>Coastal <inline-formula><mml:math id="M135" 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> effluxes under future scenarios of OM loading and <inline-formula><mml:math id="M136" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> availability</title>
      <p id="d2e2366">The BALTSEM-derived OM loading in both model scenarios can be divided into four phases (Fig. 4). Phase I gives the pre-eutrophication OM level (including pre-industrial baseline levels) representing natural loading. Phase II is characterized by a sharp increase in OM loading from the onset of eutrophication in the 1950s to the early 2000s, during which the loading reaches its peak of <inline-formula><mml:math id="M137" display="inline"><mml:mrow><mml:mo>∼</mml:mo><mml:mn mathvariant="normal">14</mml:mn><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mrow class="unit"><mml:mi mathvariant="normal">mmol</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mi mathvariant="normal">C</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">m</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:msup><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">d</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:mrow></mml:math></inline-formula>, tripling the OM loading of phase I. Following this peak, phase III covers the decrease in OM loading to its present-day value of <inline-formula><mml:math id="M138" display="inline"><mml:mrow><mml:mo>∼</mml:mo><mml:mn mathvariant="normal">10</mml:mn><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mrow class="unit"><mml:mi mathvariant="normal">mmol</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">m</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:msup><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">d</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:mrow></mml:math></inline-formula> (Present scenario), or to the projected pre-industrial baseline levels (Pre-industrial scenario). Phase IV represents the far-future return to pre-industrial OM loading and thus can only be seen in the Pre-industrial scenario.</p>

      <fig id="F4" specific-use="star"><label>Figure 4</label><caption><p id="d2e2438">Sediment organic matter (OM) loading (<inline-formula><mml:math id="M139" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi><mml:mi mathvariant="normal">mol</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mi mathvariant="normal">C</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">m</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:msup><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">d</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>), sediment ammonium (<inline-formula><mml:math id="M140" 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>) pool (<inline-formula><mml:math id="M141" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">mmol</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> bulk sediments), and sediment-water <inline-formula><mml:math id="M142" 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> efflux (<inline-formula><mml:math id="M143" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi><mml:mi mathvariant="normal">mol</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">m</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:msup><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">d</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>) in the northern coastal Baltic Sea under anoxic (red), hypoxic (green), and normoxic (blue) bottom water oxygen (<inline-formula><mml:math id="M144" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>) conditions, modelled for the OM loading scenarios <bold>(a)</bold> “Present scenario” (constant OM loading) and <bold>(b)</bold> “Pre-industrial scenario” (reduced OM loading down to pre-industrial levels). Normoxic <inline-formula><mml:math id="M145" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> conditions include bioturbation, which is absent under <inline-formula><mml:math id="M146" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>-deficient conditions as the benthic infauna dies. Modelling period 1800–2400. The <inline-formula><mml:math id="M147" 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> pool is the amount of porewater <inline-formula><mml:math id="M148" 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> integrated over a 1 m sediment model domain. Grey shadings indicate the different phases of OM loading with (I) pre-eutrophication, (II) strongly increasing, (III) after-peak, and (VI) return to pre-industrial. Horizontal dashed lines give the pre-industrial baselines of <inline-formula><mml:math id="M149" 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> pool and efflux at normoxic and <inline-formula><mml:math id="M150" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>-deficient conditions. The vertical dashed line in <bold>(b)</bold> gives the end point of OM load reductions if following the target of the Baltic Sea Action Plan (BSAP, see Table 1). The green arrow indicates the onset of widespread eutrophication around the 1950s. Note that the hypoxic <inline-formula><mml:math id="M151" 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> pool differentiates very little from the anoxic <inline-formula><mml:math id="M152" 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> pool and therefore is only marginally visible.</p></caption>
        <graphic xlink:href="https://bg.copernicus.org/articles/23/7993/2026/bg-23-7993-2026-f04.png"/>

      </fig>

      <p id="d2e2669">During phase I, the model reaches a steady state of a constant <inline-formula><mml:math id="M153" 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> pool in the sediment and low <inline-formula><mml:math id="M154" 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> efflux to the water column. In phase II, the <inline-formula><mml:math id="M155" 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> pool and efflux respond to the fast increase in OM loading. In phase III of the Present scenario, the OM loading becomes constant in 2020, while the <inline-formula><mml:math id="M156" 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> pool continues to increase steadily for over two centuries before approximating a slight plateau around 2250; in contrast, <inline-formula><mml:math id="M157" 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> effluxes reach an actual plateau around 2100 and thereafter stay high indefinitely under all <inline-formula><mml:math id="M158" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> conditions (Figs. 4a, 5a and c). In phase III of the Pre-industrial scenario, the <inline-formula><mml:math id="M159" 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> pool under normoxic conditions decreases in accordance with the drastic decrease in OM loading, albeit at a comparatively much slower rate: when OM loading reaches pre-industrial baseline values around 2160, the normoxic <inline-formula><mml:math id="M160" 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> pool is still as large as in the 1970s. In contrast, the <inline-formula><mml:math id="M161" 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> pool under <inline-formula><mml:math id="M162" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>-deficient conditions continues to increase for about 100 years despite the reductions in OM loading, before eventually starting to slowly decrease (Figs. 4b and 5b). Under neither <inline-formula><mml:math id="M163" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> condition does the <inline-formula><mml:math id="M164" 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> pool of the Pre-industrial scenario reach pre-industrial baseline levels by year 2400, the end of our modelling period (Fig. 4b phase IV). Despite the difference in pool development, <inline-formula><mml:math id="M165" 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> effluxes in phase III of the Pre-industrial scenario follow the reduction of OM loading closely under all <inline-formula><mml:math id="M166" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> conditions (Figs. 4b and 5d). Nevertheless, <inline-formula><mml:math id="M167" 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> effluxes do not reach pre-industrial baseline levels by the end of phase III, but show remaining efflux-“tails” as can be seen when zooming into the model-output (Appendix B, Fig. B1). True pre-industrial baseline levels of <inline-formula><mml:math id="M168" 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> efflux are reached in phase IV first after 2300 (normoxic conditions) or even around 2400 (anoxic conditions; Appendix B, Fig. B1); the flux magnitude of these “tails” under all <inline-formula><mml:math id="M169" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> conditions is however small and comparable to the pre-eutrophication period (Appendix B, Fig. B1). In both scenarios, the <inline-formula><mml:math id="M170" 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> pool is smaller and increases at a lower rate under <inline-formula><mml:math id="M171" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>-deficient than under normoxic conditions, whereas the <inline-formula><mml:math id="M172" 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> effluxes are larger under <inline-formula><mml:math id="M173" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>-deficient than under normoxic conditions (Figs. 4 and 5). The latter one is in line with field data from the coastal Baltic Sea (Fig. 1) and the common understanding of more efficient internal <inline-formula><mml:math id="M174" 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> turnover under normoxic conditions (Fig. 3).</p>

      <fig id="F5" specific-use="star"><label>Figure 5</label><caption><p id="d2e2950">Sediment ammonium (<inline-formula><mml:math id="M175" 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>) pool <bold>(a, b)</bold> and efflux <bold>(c, d)</bold> plotted against organic matter (OM) loading under two conditions of bottom water oxygen (<inline-formula><mml:math id="M176" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>) and its consequential absence/presence of benthic fauna (<inline-formula><mml:math id="M177" display="inline"><mml:mrow><mml:mtext>triangles</mml:mtext><mml:mo>=</mml:mo><mml:mn mathvariant="normal">0</mml:mn><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi><mml:mi mathvariant="normal">M</mml:mi></mml:mrow></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M178" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>; <inline-formula><mml:math id="M179" display="inline"><mml:mrow><mml:mtext>circles</mml:mtext><mml:mo>=</mml:mo><mml:mn mathvariant="normal">200</mml:mn><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi><mml:mi mathvariant="normal">M</mml:mi></mml:mrow></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M180" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> and bioturbation), shown for the “Present scenario” <bold>(a, c)</bold> and the “Pre-industrial scenario” <bold>(b, d)</bold>. Arrows and color-coding indicate the temporal evolution, with dark <inline-formula><mml:math id="M181" display="inline"><mml:mrow><mml:mtext>blue</mml:mtext><mml:mo>=</mml:mo><mml:mtext>period</mml:mtext></mml:mrow></mml:math></inline-formula> 1800–1900, light <inline-formula><mml:math id="M182" display="inline"><mml:mrow><mml:mtext>blue</mml:mtext><mml:mo>=</mml:mo><mml:mtext>period</mml:mtext></mml:mrow></mml:math></inline-formula> 1900–2000, <inline-formula><mml:math id="M183" display="inline"><mml:mrow><mml:mtext>orange</mml:mtext><mml:mo>=</mml:mo><mml:mtext>period</mml:mtext></mml:mrow></mml:math></inline-formula> 2000–2100, and <inline-formula><mml:math id="M184" display="inline"><mml:mrow><mml:mtext>red</mml:mtext><mml:mo>=</mml:mo><mml:mtext>period</mml:mtext></mml:mrow></mml:math></inline-formula> 2100–2400.</p></caption>
        <graphic xlink:href="https://bg.copernicus.org/articles/23/7993/2026/bg-23-7993-2026-f05.png"/>

      </fig>

      <p id="d2e3103">Depending on the <inline-formula><mml:math id="M185" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> condition, the <inline-formula><mml:math id="M186" 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> effluxes of the Pre-industrial scenario remain elevated compared to pre-industrial baseline levels for 280–380 years after the start of drastic OM load reductions (Appendix B, Fig. B1). However, about 110 years following the reductions, i.e. in 2130, normoxic <inline-formula><mml:math id="M187" 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> effluxes have shrunk to a level comparable to the 1950s, the starting point of widespread eutrophication; under <inline-formula><mml:math id="M188" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>-deficient conditions, this level will be reached about 140 years following the reductions, i.e. in 2160 (Fig. 4b). This modelled timeframe of decline in <inline-formula><mml:math id="M189" 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> efflux is 30–60 years longer than the estimate of when BSAP-driven good environmental status is assumed to be reached (year 2100, Fig. 4; Murray et al., 2019), which could suggest that it might take longer than previously thought for the BSAP to achieve its environmental targets.</p>
      <p id="d2e3167">In both scenarios, the <inline-formula><mml:math id="M190" 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> effluxes seem to respond more rapidly to the external OM loading than to the internal <inline-formula><mml:math id="M191" 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> pool (Figs. 4 and 5). This result is interesting, as the <inline-formula><mml:math id="M192" 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> pool shows a strong legacy effect and thus creates high internal <inline-formula><mml:math id="M193" 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> availability, even long after strong external OM loading has ceased, such as in the Pre-industrial scenario (Fig. 5b). This legacy effect is caused by <inline-formula><mml:math id="M194" 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> being continuously regenerated from the OM that accumulated in the sediment over subsequent years of strong eutrophication (Fig. 4 phase II), and results in (i) the increase of the <inline-formula><mml:math id="M195" 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> pool in the Present scenario, despite constant OM loading (Figs. 4a phase III and 5a), as well as (ii) the slow decline (normoxic condition) and initial increase (<inline-formula><mml:math id="M196" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>-deficient conditions) of the <inline-formula><mml:math id="M197" 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> pool in the Pre-industrial scenario, despite rapid OM load reductions (Figs. 4b phase III–IV and 5b). The different evolution of the normoxic and <inline-formula><mml:math id="M198" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>-deficient <inline-formula><mml:math id="M199" 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> pools can be attributed to the more efficient mineralization and internal <inline-formula><mml:math id="M200" 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> turnover under normoxic than <inline-formula><mml:math id="M201" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>-deficient conditions (Fig. 3). The influence of the <inline-formula><mml:math id="M202" 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> pool on the <inline-formula><mml:math id="M203" 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> effluxes eventually becomes visible in the Pre-industrial scenario, where the <inline-formula><mml:math id="M204" 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> effluxes remain 5 %–10 % above pre-industrial baseline values after OM loading has returned to constant baseline levels (Appendix B, Fig. B1, Fig. 4b), creating <inline-formula><mml:math id="M205" 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> efflux-“tails”. While these tails are small in magnitude, they last for 140–240 years, depending on the <inline-formula><mml:math id="M206" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> condition (Appendix B, Fig. B1), clearly indicating the influence of the <inline-formula><mml:math id="M207" 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> pool and its strong legacy effect. In consequence, the <inline-formula><mml:math id="M208" 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> effluxes are subject to a eutrophication legacy effect, which is highly persistent, but only small in effect size. Hence, the majority of the <inline-formula><mml:math id="M209" 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> effluxes remain controlled by the external OM loading, which suggests that <inline-formula><mml:math id="M210" 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> effluxes and their subsequent impact on the coastal environment can be mitigated in a straightforward manner by reducing the external OM loading, such as in our Pre-industrial scenario.</p>
      <p id="d2e3438">While our modelled <inline-formula><mml:math id="M211" 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> effluxes in both scenarios show distinctly different responses between normoxic and <inline-formula><mml:math id="M212" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>-deficient conditions, confirming the common assumption of <inline-formula><mml:math id="M213" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> as a key control of sediment-water <inline-formula><mml:math id="M214" 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> effluxes (Fig. 3), the magnitude of our modelled <inline-formula><mml:math id="M215" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>-deficient fluxes is below the range of field-observations from the coastal Baltic Sea (Fig. 1). This underestimation of <inline-formula><mml:math id="M216" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>-deficient <inline-formula><mml:math id="M217" 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> effluxes can be explained by the resolution of our RTM, which runs on an annual basis and thus does not capture seasonal fluctuations and anoxic extreme events that can drastically increase the efflux. Such events are generally challenging to incorporate in a model, as they originate from individual combinations of OM loading and loading history, anoxia duration, temperature, and more. Without the addition of extreme values to the RTM's annual average, the modelled <inline-formula><mml:math id="M218" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>-deficient <inline-formula><mml:math id="M219" 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> effluxes are lower than they can periodically be in nature, and our model consequently provides an estimate of <inline-formula><mml:math id="M220" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>-deficient <inline-formula><mml:math id="M221" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> effluxes at the lower range of their annual value. This underrepresentation of seasonal extreme values in our model affects only the <inline-formula><mml:math id="M222" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>-deficient, but not the normoxic fluxes, which fit well to the range observed in the coastal Baltic Sea (Fig. 1).</p>
</sec>
<sec id="Ch1.S4">
  <label>4</label><title>Sensitivity of benthic <inline-formula><mml:math id="M223" 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> turnover to changed boundary conditions </title>
      <p id="d2e3606">Our model results represent one site in the northern coastal Baltic Sea, which is considered representative for a muddy, OM-rich accumulation bottom in low-saline, eutrophic conditions. To test the sensitivity of our modelled <inline-formula><mml:math id="M224" 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> pool and efflux to different environmental conditions, we applied a range of OM loadings, salinities (representative of different <inline-formula><mml:math id="M225" display="inline"><mml:mrow class="chem"><mml:msubsup><mml:mi mathvariant="normal">SO</mml:mi><mml:mn mathvariant="normal">4</mml:mn><mml:mrow><mml:mn mathvariant="normal">2</mml:mn><mml:mo>-</mml:mo></mml:mrow></mml:msubsup></mml:mrow></mml:math></inline-formula> concentrations in bottom water), sedimentation rates, bioturbation coefficients, <inline-formula><mml:math id="M226" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">C</mml:mi><mml:mo>/</mml:mo><mml:mi mathvariant="normal">N</mml:mi></mml:mrow></mml:math></inline-formula> ratios of OM, and different shares of reactive material in OM to our RTM, both under normoxic (Fig. 6) and anoxic (Appendix B, Fig. B2) bottom water conditions. As a baseline for comparison, we used the conditions of our model setting under the Pre-industrial OM loading scenario, i.e. a salinity of 6 with a <inline-formula><mml:math id="M227" display="inline"><mml:mrow class="chem"><mml:msubsup><mml:mi mathvariant="normal">SO</mml:mi><mml:mn mathvariant="normal">4</mml:mn><mml:mrow><mml:mn mathvariant="normal">2</mml:mn><mml:mo>-</mml:mo></mml:mrow></mml:msubsup></mml:mrow></mml:math></inline-formula>concentration of 5 <inline-formula><mml:math id="M228" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">mmol</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">L</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>, a sedimentation rate of 6 <inline-formula><mml:math id="M229" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">mm</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">yr</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>, strong bioturbation under normoxic conditions, and a <inline-formula><mml:math id="M230" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">C</mml:mi><mml:mo>/</mml:mo><mml:mi mathvariant="normal">N</mml:mi></mml:mrow></mml:math></inline-formula> ratio of 6.6 in the reactive fraction and 13 in the less reactive fraction. The OM loadings were generated by the BALTSEM simulations.</p>

      <fig id="F6" specific-use="star"><label>Figure 6</label><caption><p id="d2e3715">Effect of changed organic matter (OM) loading (I), salinity (II), sedimentation rate (III), bioturbation coefficient (IV), carbon to nitrogen (<inline-formula><mml:math id="M231" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">C</mml:mi><mml:mo>/</mml:mo><mml:mi mathvariant="normal">N</mml:mi></mml:mrow></mml:math></inline-formula>) ratio in OM (V), and different shares of reactive material in OM (VI) compared to baseline conditions representative of the northern coastal Baltic Sea (Pre-industrial OM loading scenario, salinity of 6, sedimentation rate of 6 <inline-formula><mml:math id="M232" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">mm</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">yr</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>, strong bioturbation, and OM with a <inline-formula><mml:math id="M233" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">C</mml:mi><mml:mo>/</mml:mo><mml:mi mathvariant="normal">N</mml:mi></mml:mrow></mml:math></inline-formula> ratio of 6.6 (reactive fraction) and 13 (less reactive fraction); black line) on <bold>(a)</bold> sediment ammonium (<inline-formula><mml:math id="M234" 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>) pool and efflux, and <bold>(b)</bold> its percent change relative to baseline condition. Modelled for normoxic bottom water conditions (200 µM <inline-formula><mml:math id="M235" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>). Dashed lines give the pre-industrial baselines of <inline-formula><mml:math id="M236" 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> pool and efflux. Note the different <inline-formula><mml:math id="M237" display="inline"><mml:mi>y</mml:mi></mml:math></inline-formula>-axis scales between some parameters.</p></caption>
        <graphic xlink:href="https://bg.copernicus.org/articles/23/7993/2026/bg-23-7993-2026-f06.png"/>

      </fig>

      <p id="d2e3816">Under normoxic conditions and compared to the baseline, an increase in OM loading would strongly increase the <inline-formula><mml:math id="M238" 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> pool and efflux and both their legacy effects (Fig. 6I). While the increase in legacy effect in the <inline-formula><mml:math id="M239" 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> pool is very visible, its increase in the <inline-formula><mml:math id="M240" 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> efflux is more subtle in larger magnitudes of the efflux-“tails” (Fig. 6a I), proportionally to the level of OM loading: the highest OM loading (5-times the BSAP OM loading) shows the strongest effect on the <inline-formula><mml:math id="M241" 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> effluxes (Fig. 6b I). An increase in salinity does not change the size of the <inline-formula><mml:math id="M242" 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> pool and only marginally increases the <inline-formula><mml:math id="M243" 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> efflux (Fig. 6a II), with the largest change observed when salinity changes from 6.6 to 10 (Fig. 6b II). This result is caused by the comparatively low availability of OM that limits the reduction of <inline-formula><mml:math id="M244" display="inline"><mml:mrow class="chem"><mml:msubsup><mml:mi mathvariant="normal">SO</mml:mi><mml:mn mathvariant="normal">4</mml:mn><mml:mrow><mml:mn mathvariant="normal">2</mml:mn><mml:mo>-</mml:mo></mml:mrow></mml:msubsup></mml:mrow></mml:math></inline-formula>; hence, higher salinity can only increase the <inline-formula><mml:math id="M245" 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> pool and efflux, if also the OM availability is higher, such as can be expected under the Present scenario. A change in sedimentation rate affects the size of the <inline-formula><mml:math id="M246" 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> pool but not the <inline-formula><mml:math id="M247" 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> efflux (Fig. 6 III). The presence or absence of bioturbation has a strong effect on both <inline-formula><mml:math id="M248" 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> pool and efflux (Fig. 6 IV). In the presence of bioturbation, the <inline-formula><mml:math id="M249" 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> pool increases, likely because bioturbation promotes the degradation of OM (Andersen and Kristensen, 1991) and thus the release of <inline-formula><mml:math id="M250" 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> to the sediment porewater. However, at the same time, the <inline-formula><mml:math id="M251" 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>efflux decreases, as bioturbation generally increases the availability of <inline-formula><mml:math id="M252" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> in surface sediments, thereby facilitating sediment internal <inline-formula><mml:math id="M253" 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> turnover (Fig. 3). If bioturbation is absent, the opposite happens. This result highlights the importance of bioturbating infauna for sediment <inline-formula><mml:math id="M254" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> and N-turnover. An increase in <inline-formula><mml:math id="M255" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">C</mml:mi><mml:mo>/</mml:mo><mml:mi mathvariant="normal">N</mml:mi></mml:mrow></mml:math></inline-formula> ratio towards less bioavailable and more refractory OM will decrease both the <inline-formula><mml:math id="M256" 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> pool and efflux (Fig. 6V), as the OM becomes less rich in N and thus less <inline-formula><mml:math id="M257" 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> is produced in mineralization. The <inline-formula><mml:math id="M258" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">C</mml:mi><mml:mo>/</mml:mo><mml:mi mathvariant="normal">N</mml:mi></mml:mrow></mml:math></inline-formula> ratio is also affected by different shares of reactive OM, thereby affecting the <inline-formula><mml:math id="M259" 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> pool and efflux (Fig. 6VI). In this test, the share of refractory OM is kept at 23 %, and the share of reactive OM is 47 % and 10 %. Lower shares of reactive OM lead to a larger <inline-formula><mml:math id="M260" 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> pool and a lower <inline-formula><mml:math id="M261" 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>efflux (Fig. 6VI), which is caused by in turn higher shares of less reactive OM that degrade slowly but last longer in the sediments. Under anoxic bottom water conditions, similar patterns as the ones described can be observed but with slightly stronger effects on the <inline-formula><mml:math id="M262" 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> pool and efflux (Appendix B, Fig. B2).</p>
      <p id="d2e4146">While these results point to a general direction for <inline-formula><mml:math id="M263" 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> cycling in eutrophied coastal systems of different environmental conditions, they need to be interpreted while considering the geomorphological context for each system and the understanding that parameters occur in combination not in isolation. For instance, high salinity might often occur together with a low sedimentation rate, given that many coastal systems of high salinity are connected to the open ocean and thus experience high water energy from waves and tidal force, which enhances dispersion of OM and ultimately affects the sedimentation rate. In our sensitivity analysis, we do not consider such parameter combinations. Hence, understanding a habitat's geomorphological setting and environmental conditions are highly important when aiming to realistically model <inline-formula><mml:math id="M264" 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> flux predications of coastal sediments.</p>
</sec>
<sec id="Ch1.S5">
  <label>5</label><title>Implications for restoring eutrophied coastal ecosystems</title>
      <p id="d2e4183">Our model results highlight the presence of legacy effects from past eutrophication in present-day and future <inline-formula><mml:math id="M265" 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> cycling in coastal sediments of the Baltic Sea. While the legacy effects are highly persistent in both the sediment <inline-formula><mml:math id="M266" 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> pool and the sediment-water <inline-formula><mml:math id="M267" 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> effluxes, the legacy's effect size is much smaller in the <inline-formula><mml:math id="M268" 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> effluxes than in the <inline-formula><mml:math id="M269" 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> pool. This means, that the <inline-formula><mml:math id="M270" 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> pool affects the <inline-formula><mml:math id="M271" 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> effluxes for a long time, but potentially plays a minor role in its ecological impact. The impact of the <inline-formula><mml:math id="M272" 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> efflux legacy on the coastal ecosystem is ultimately determined by the external OM loading, which not only strongly drives the effluxes (Fig. 4b) but also determines the magnitude and thus ecological significance of the legacy effluxes (Fig. 6I). The strong connection between external OM loading and <inline-formula><mml:math id="M273" 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> effluxes gives a clear direction for the restoration of eutrophied coastal ecosystems. Our model results show that if strict OM load reductions are implemented, sediment-water <inline-formula><mml:math id="M274" 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> effluxes will decrease promptly and nearly proportionally to the load reductions. About 110 years after the start of OM load reductions, <inline-formula><mml:math id="M275" 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> effluxes could reach the same level as at the start of eutrophication in the 1950s. This is a relatively short time-frame for natural ecosystem recovery of a heavily eutrophied system, such as the coastal Baltic Sea. The time-frame can be met when bottom waters are normoxic and sediments are strongly bioturbated, meaning that the benthic system stays as healthy as possible during the duration of OM load reductions. If bottom waters become <inline-formula><mml:math id="M276" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>-deficient and the bioturbating infauna dies, the duration to reach 1950s levels of <inline-formula><mml:math id="M277" 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> effluxes will be extended by approximately 30 years, during which also the magnitude of <inline-formula><mml:math id="M278" 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> effluxes will be higher than under normoxic conditions (Fig. 4b), thereby sustaining the strain on the ecosystem. Hence, the key factors affecting internal N loading via sediment-water <inline-formula><mml:math id="M279" 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> effluxes in the coastal Baltic Sea are the external OM loading and the bottom water <inline-formula><mml:math id="M280" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> conditions. Consequently, internal N loading and its impact on the coastal environment cannot be mitigated if OM loading remains on its present-day level (Fig. 4a).</p>
      <p id="d2e4392">The limited direct impact of the sediment <inline-formula><mml:math id="M281" 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> pool on the sediment-water <inline-formula><mml:math id="M282" 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> effluxes in our model is unexpected, but important knowledge for ecosystem management, as it suggests that ecosystem recovery in regard to N overloading is achievable within realistic time-frames. A stronger influence of the <inline-formula><mml:math id="M283" 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> pool on the <inline-formula><mml:math id="M284" 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> effluxes than what we see in our modelling results would increase both the magnitude of the <inline-formula><mml:math id="M285" 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> effluxes and their resistance to external management measures, potentially extending their impact on the coastal ecosystem by many years. Further, it is worthwhile to keep in mind that, despite its limited direct impact, our modelled sediment <inline-formula><mml:math id="M286" 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> pool nevertheless maintains the long-lasting legacy effect of the <inline-formula><mml:math id="M287" 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> effluxes, whose magnitude and thus ecological impact can increase under <inline-formula><mml:math id="M288" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>-deficient (Appendix B, Fig. B2) and OM enriched (Fig. 6a I) conditions. The estimated duration of legacy effects in the <inline-formula><mml:math id="M289" 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> effluxes is similar to Lønborg and Markager (2021), who suggested a TN legacy in Baltic Sea sediments of several centuries.</p>
      <p id="d2e4511">Considering that our model is 1-dimensional and not directly coupled to the water column, we cannot estimate any direct feedback between sediment and water column. In a natural system, a large part of the N released to the water column via sediment-water <inline-formula><mml:math id="M290" 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> efflux would be taken up in primary production and eventually settle back to the sediment to become new OM, which adds complexity to the internal nutrient loops in both modelling scenarios and is not included in the current model. It is likely that the coastal current of the Baltic Sea would keep OM and nutrients for a certain time in the coastal zone before both end up in the open Baltic Sea (Radtke et al., 2012), which would increase the chance that the coastal N load is ultimately removed from the aquatic system via denitrification at the permanent redoxcline. How long it would take to remove the internal N loading from the coastal zone and thus from the potential to favour coastal primary production, remains, however, unclear. Furthermore, the impact of internal N loading on the coastal ecosystem may be localized, as despite a predicted rise in hypoxia it is highly unlikely that the entire coastal zone of the Baltic Sea will eventually become <inline-formula><mml:math id="M291" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>-deficient. Localized hypoxic or anoxic events can lead to increases in N availability and subsequent primary production, yet, such increases are likely masked by the overall coastal eutrophication. Nevertheless, for management efforts to mitigate coastal eutrophication and restore a healthy ecosystem, every addition of bioavailable nutrients that is not accounted for in mass balance budgets should be noteworthy. In the big picture, internal loading adds nutrients to a system and even if these nutrients are transient, they can cause ecological harm and impede eutrophication mitigation measures.</p>
      <p id="d2e4538">Following OM load reductions, <inline-formula><mml:math id="M292" 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> effluxes in our model decrease slightly faster and with a smaller flux magnitude under normoxic than under <inline-formula><mml:math id="M293" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>-deficient conditions (Fig. 4b), which might raise the question whether artificial aeration methods could be a justifiable option to aid the ecosystem recovery. However, the effects of artificial aeration on benthic N-cycling in the coastal Baltic Sea are not straight forward and sediment-water <inline-formula><mml:math id="M294" 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> effluxes both did (site Lännerstasundet, Lehtoranta et al., 2022) and did not (site By Fjord, De Brabandere et al., 2015) significantly decrease under aeration, or even increased (site Sandöfjärden, Lehtoranta et al., 2022) due to aeration induced sediment warming and a return of anoxia despite aeration. Similar conflicting results were found also outside the coastal Baltic Sea (e.g. Harris et al., 2015, Testa et al., 2025), including increased air-water methane exchange under conditions of aeration (Lapham et al., 2022), which suggests that engineered aeration approaches often have unexpected and unintentional impacts on both nutrient cycling and greenhouse gas emissions. Given these variable responses, we do not consider artificial aeration to be a clear-cut solution to shorten the duration of <inline-formula><mml:math id="M295" 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> effluxes in the coastal Baltic Sea.</p>
</sec>
<sec id="Ch1.S6" sec-type="conclusions">
  <label>6</label><title>Conclusions</title>
      <p id="d2e4599">Muddy sediments in the coastal Baltic Sea commonly contain large <inline-formula><mml:math id="M296" 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> accumulations from past and ongoing eutrophication, which are favourably released to the water column under <inline-formula><mml:math id="M297" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>-deficient conditions, resulting in internal N loading with the potential to facilitate coastal primary production. To better understand the fate and persistency of this <inline-formula><mml:math id="M298" 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> legacy and its impact on the coastal ecosystem, we modelled the past to future development of the sediment <inline-formula><mml:math id="M299" 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> pool and sediment-water <inline-formula><mml:math id="M300" 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> effluxes in the coastal Baltic Sea under two contrasting OM loading scenarios and three <inline-formula><mml:math id="M301" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> conditions. Our model results clearly show a strong eutrophication legacy effect in the development of the sediment <inline-formula><mml:math id="M302" 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> pool, which affects the sediment-water <inline-formula><mml:math id="M303" 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> effluxes for a long time, but with only a mild effect size. The key driver of the sediment-water <inline-formula><mml:math id="M304" 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> effluxes is the external OM loading, which continuously adds to the OM- and <inline-formula><mml:math id="M305" 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> accumulations in coastal surface sediments. This result strongly indicates, that present-day elevated sediment-water <inline-formula><mml:math id="M306" 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> effluxes can be effectively reduced if strict OM load reductions are realized, such as proposed by the BSAP. Oxic bottom water and strong bioturbation aid the reduction of <inline-formula><mml:math id="M307" 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> effluxes, as both aspects increase the sediment internal turnover of <inline-formula><mml:math id="M308" 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>. However, these factors are secondary behind the reduction in OM loading: following our model results, internal N loading to the coastal Baltic ecosystem cannot be mitigated if OM loading continues as at present, which has also been suggested in other studies (Pitkänen et al., 2001, Saraiva et al., 2019). Our results are beneficial also for other coastal areas of similar geomorphology as the coastal Baltic Sea that face similar challenges in nutrient reduction and ecological management.</p>
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      </body>
    <back><app-group>

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

<table-wrap id="TA1"><label>Table A1</label><caption><p id="d2e4785">Chemical reactions in the RTM; organic matter (OM) is of the form <inline-formula><mml:math id="M309" display="inline"><mml:mrow class="chem"><mml:mo>(</mml:mo><mml:msub><mml:mi mathvariant="normal">CH</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:msub><mml:mo>)</mml:mo><mml:mi>a</mml:mi></mml:msub><mml:mo>(</mml:mo><mml:msubsup><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">4</mml:mn><mml:mo>+</mml:mo></mml:msubsup><mml:msub><mml:mo>)</mml:mo><mml:mi>b</mml:mi></mml:msub><mml:mo>(</mml:mo><mml:msub><mml:mi mathvariant="normal">H</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub><mml:msub><mml:mi mathvariant="normal">PO</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub><mml:msub><mml:mo>)</mml:mo><mml:mi>c</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> with <inline-formula><mml:math id="M310" display="inline"><mml:mrow><mml:mi>a</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">106</mml:mn></mml:mrow></mml:math></inline-formula>, <inline-formula><mml:math id="M311" display="inline"><mml:mrow><mml:mi>b</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">16</mml:mn></mml:mrow></mml:math></inline-formula>, and <inline-formula><mml:math id="M312" display="inline"><mml:mrow><mml:mi>c</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:math></inline-formula>.</p></caption><oasis:table frame="topbot"><oasis:tgroup cols="2">
     <oasis:colspec colnum="1" colname="col1" align="left"/>
     <oasis:colspec colnum="2" colname="col2" align="right"/>
     <oasis:thead>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1">Primary OM reactions:</oasis:entry>
         <oasis:entry colname="col2"/>
       </oasis:row>
     </oasis:thead>
     <oasis:tbody>
       <oasis:row>
         <oasis:entry colname="col1"><inline-formula><mml:math id="M313" display="inline"><mml:mrow><mml:mrow class="chem"><mml:mi mathvariant="normal">OM</mml:mi></mml:mrow><mml:mo>+</mml:mo><mml:mi>a</mml:mi><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow><mml:mo>→</mml:mo><mml:mi>a</mml:mi><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow><mml:mo>+</mml:mo><mml:mi>b</mml:mi><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:mo>+</mml:mo><mml:mi>c</mml:mi><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">H</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub><mml:msub><mml:mi mathvariant="normal">PO</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:mrow><mml:mo>+</mml:mo><mml:mi>a</mml:mi><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">H</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col2">(R1)</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"><inline-formula><mml:math id="M314" display="inline"><mml:mrow><mml:mrow class="chem"><mml:mi mathvariant="normal">OM</mml:mi></mml:mrow><mml:mo>+</mml:mo><mml:mstyle displaystyle="false"><mml:mfrac style="text"><mml:mrow><mml:mn mathvariant="normal">4</mml:mn><mml:mi>a</mml:mi></mml:mrow><mml:mn mathvariant="normal">5</mml:mn></mml:mfrac></mml:mstyle><mml:mrow class="chem"><mml:msubsup><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">3</mml:mn><mml:mo>-</mml:mo></mml:msubsup></mml:mrow><mml:mo>+</mml:mo><mml:mstyle displaystyle="false"><mml:mfrac style="text"><mml:mrow><mml:mn mathvariant="normal">4</mml:mn><mml:mi>a</mml:mi></mml:mrow><mml:mn mathvariant="normal">5</mml:mn></mml:mfrac></mml:mstyle><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="normal">H</mml:mi><mml:mo>+</mml:mo></mml:msup></mml:mrow><mml:mo>→</mml:mo><mml:mi>a</mml:mi><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow><mml:mo>+</mml:mo><mml:mi>b</mml:mi><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:mo>+</mml:mo><mml:mi>c</mml:mi><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">H</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub><mml:msub><mml:mi mathvariant="normal">PO</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:mrow><mml:mo>+</mml:mo><mml:mstyle displaystyle="false"><mml:mfrac style="text"><mml:mrow><mml:mn mathvariant="normal">2</mml:mn><mml:mi>a</mml:mi></mml:mrow><mml:mn mathvariant="normal">5</mml:mn></mml:mfrac></mml:mstyle><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow><mml:mo>+</mml:mo><mml:mstyle displaystyle="false"><mml:mfrac style="text"><mml:mrow><mml:mn mathvariant="normal">7</mml:mn><mml:mi>a</mml:mi></mml:mrow><mml:mn mathvariant="normal">5</mml:mn></mml:mfrac></mml:mstyle><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">H</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col2">(R2)</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"><inline-formula><mml:math id="M315" display="inline"><mml:mrow><mml:mrow class="chem"><mml:mi mathvariant="normal">OM</mml:mi></mml:mrow><mml:mo>+</mml:mo><mml:mn mathvariant="normal">2</mml:mn><mml:mi>a</mml:mi><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">MnO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow><mml:mo>+</mml:mo><mml:mn mathvariant="normal">4</mml:mn><mml:mi>a</mml:mi><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="normal">H</mml:mi><mml:mo>+</mml:mo></mml:msup></mml:mrow><mml:mo>→</mml:mo><mml:mi>a</mml:mi><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow><mml:mo>+</mml:mo><mml:mi>b</mml:mi><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:mo>+</mml:mo><mml:mi>c</mml:mi><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">H</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub><mml:msub><mml:mi mathvariant="normal">PO</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:mrow><mml:mo>+</mml:mo><mml:mn mathvariant="normal">2</mml:mn><mml:mi>a</mml:mi><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="normal">Mn</mml:mi><mml:mrow><mml:mn mathvariant="normal">2</mml:mn><mml:mo>+</mml:mo></mml:mrow></mml:msup></mml:mrow><mml:mo>+</mml:mo><mml:mn mathvariant="normal">3</mml:mn><mml:mi>a</mml:mi><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">H</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col2">(R3)</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"><inline-formula><mml:math id="M316" display="inline"><mml:mrow><mml:mrow class="chem"><mml:mi mathvariant="normal">OM</mml:mi></mml:mrow><mml:mo>+</mml:mo><mml:mn mathvariant="normal">4</mml:mn><mml:mi>a</mml:mi><mml:mrow class="chem"><mml:mi mathvariant="normal">Fe</mml:mi><mml:mo>(</mml:mo><mml:mi mathvariant="normal">OH</mml:mi><mml:msubsup><mml:mo>)</mml:mo><mml:mn mathvariant="normal">3</mml:mn><mml:mi mathvariant="italic">α</mml:mi></mml:msubsup></mml:mrow><mml:mo>+</mml:mo><mml:mn mathvariant="normal">12</mml:mn><mml:mi>a</mml:mi><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="normal">H</mml:mi><mml:mo>+</mml:mo></mml:msup></mml:mrow><mml:mo>→</mml:mo><mml:mi>a</mml:mi><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow><mml:mo>+</mml:mo><mml:mi>b</mml:mi><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:mo>+</mml:mo><mml:mi mathvariant="normal">c</mml:mi><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">H</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub><mml:msub><mml:mi mathvariant="normal">PO</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:mrow><mml:mo>+</mml:mo><mml:mn mathvariant="normal">4</mml:mn><mml:mi>a</mml:mi><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="normal">Fe</mml:mi><mml:mrow><mml:mn mathvariant="normal">2</mml:mn><mml:mo>+</mml:mo></mml:mrow></mml:msup></mml:mrow><mml:mo>+</mml:mo><mml:mn mathvariant="normal">13</mml:mn><mml:mi>a</mml:mi><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">H</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col2">(R4)</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"><inline-formula><mml:math id="M317" display="inline"><mml:mrow><mml:mrow class="chem"><mml:mi mathvariant="normal">OM</mml:mi></mml:mrow><mml:mo>+</mml:mo><mml:mstyle displaystyle="false"><mml:mfrac style="text"><mml:mi>a</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:mfrac></mml:mstyle><mml:mrow class="chem"><mml:msubsup><mml:mi mathvariant="normal">SO</mml:mi><mml:mn mathvariant="normal">4</mml:mn><mml:mrow><mml:mn mathvariant="normal">2</mml:mn><mml:mo>-</mml:mo></mml:mrow></mml:msubsup></mml:mrow><mml:mo>+</mml:mo><mml:mi>a</mml:mi><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="normal">H</mml:mi><mml:mo>+</mml:mo></mml:msup></mml:mrow><mml:mo>→</mml:mo><mml:mi>a</mml:mi><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow><mml:mo>+</mml:mo><mml:mi>b</mml:mi><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:mo>+</mml:mo><mml:mi>c</mml:mi><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">H</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub><mml:msub><mml:mi mathvariant="normal">PO</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:mrow><mml:mo>+</mml:mo><mml:mstyle displaystyle="false"><mml:mfrac style="text"><mml:mi>a</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:mfrac></mml:mstyle><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">H</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">S</mml:mi></mml:mrow><mml:mo>+</mml:mo><mml:mi>a</mml:mi><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">H</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col2">(R5)</oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1"><inline-formula><mml:math id="M318" display="inline"><mml:mrow><mml:mrow class="chem"><mml:mi mathvariant="normal">OM</mml:mi></mml:mrow><mml:mo>→</mml:mo><mml:mstyle displaystyle="false"><mml:mfrac style="text"><mml:mi>a</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:mfrac></mml:mstyle><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow><mml:mo>+</mml:mo><mml:mi>b</mml:mi><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:mo>+</mml:mo><mml:mi>c</mml:mi><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">H</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub><mml:msub><mml:mi mathvariant="normal">PO</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:mrow><mml:mo>+</mml:mo><mml:mstyle displaystyle="false"><mml:mfrac style="text"><mml:mi>a</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:mfrac></mml:mstyle><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CH</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:mrow></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col2">(R6)</oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1">Secondary reactions:</oasis:entry>
         <oasis:entry colname="col2"/>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"><inline-formula><mml:math id="M319" display="inline"><mml:mrow><mml:mn mathvariant="normal">2</mml:mn><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow><mml:mo>+</mml:mo><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:mo>+</mml:mo><mml:mn mathvariant="normal">2</mml:mn><mml:mrow class="chem"><mml:msubsup><mml:mi mathvariant="normal">HCO</mml:mi><mml:mn mathvariant="normal">3</mml:mn><mml:mo>-</mml:mo></mml:msubsup></mml:mrow><mml:mo>→</mml:mo><mml:mrow class="chem"><mml:msubsup><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">3</mml:mn><mml:mo>-</mml:mo></mml:msubsup></mml:mrow><mml:mo>+</mml:mo><mml:mn mathvariant="normal">2</mml:mn><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow><mml:mo>+</mml:mo><mml:mn mathvariant="normal">3</mml:mn><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">H</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col2">(R7)</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"><inline-formula><mml:math id="M320" display="inline"><mml:mrow><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow><mml:mo>+</mml:mo><mml:mn mathvariant="normal">2</mml:mn><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="normal">Mn</mml:mi><mml:mrow><mml:mn mathvariant="normal">2</mml:mn><mml:mo>+</mml:mo></mml:mrow></mml:msup></mml:mrow><mml:mo>+</mml:mo><mml:mn mathvariant="normal">4</mml:mn><mml:mrow class="chem"><mml:msubsup><mml:mi mathvariant="normal">HCO</mml:mi><mml:mn mathvariant="normal">3</mml:mn><mml:mo>-</mml:mo></mml:msubsup></mml:mrow><mml:mo>→</mml:mo><mml:mn mathvariant="normal">2</mml:mn><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">MnO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow><mml:mo>+</mml:mo><mml:mn mathvariant="normal">4</mml:mn><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow><mml:mo>+</mml:mo><mml:mn mathvariant="normal">2</mml:mn><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">H</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col2">(R8)</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"><inline-formula><mml:math id="M321" display="inline"><mml:mrow><mml:mn mathvariant="normal">2</mml:mn><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow><mml:mo>+</mml:mo><mml:mrow class="chem"><mml:mi mathvariant="normal">FeS</mml:mi></mml:mrow><mml:mo>→</mml:mo><mml:mrow class="chem"><mml:msubsup><mml:mi mathvariant="normal">SO</mml:mi><mml:mn mathvariant="normal">4</mml:mn><mml:mrow><mml:mn mathvariant="normal">2</mml:mn><mml:mo>-</mml:mo></mml:mrow></mml:msubsup></mml:mrow><mml:mo>+</mml:mo><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="normal">Fe</mml:mi><mml:mrow><mml:mn mathvariant="normal">2</mml:mn><mml:mo>+</mml:mo></mml:mrow></mml:msup></mml:mrow></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col2">(R9)</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"><inline-formula><mml:math id="M322" display="inline"><mml:mrow><mml:mn mathvariant="normal">2</mml:mn><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow><mml:mo>+</mml:mo><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">H</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">S</mml:mi></mml:mrow><mml:mo>+</mml:mo><mml:mn mathvariant="normal">2</mml:mn><mml:mrow class="chem"><mml:msubsup><mml:mi mathvariant="normal">HCO</mml:mi><mml:mn mathvariant="normal">3</mml:mn><mml:mo>-</mml:mo></mml:msubsup></mml:mrow><mml:mo>→</mml:mo><mml:mrow class="chem"><mml:msubsup><mml:mi mathvariant="normal">SO</mml:mi><mml:mn mathvariant="normal">4</mml:mn><mml:mrow><mml:mn mathvariant="normal">2</mml:mn><mml:mo>-</mml:mo></mml:mrow></mml:msubsup></mml:mrow><mml:mo>+</mml:mo><mml:mn mathvariant="normal">2</mml:mn><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow><mml:mo>+</mml:mo><mml:mn mathvariant="normal">2</mml:mn><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">H</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col2">(R10)</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"><inline-formula><mml:math id="M323" display="inline"><mml:mrow><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow><mml:mo>+</mml:mo><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CH</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:mrow><mml:mo>→</mml:mo><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow><mml:mo>+</mml:mo><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">H</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col2">(R11)</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"><inline-formula><mml:math id="M324" display="inline"><mml:mrow><mml:mn mathvariant="normal">2</mml:mn><mml:mrow class="chem"><mml:mi mathvariant="normal">Fe</mml:mi><mml:mo>(</mml:mo><mml:mi mathvariant="normal">OH</mml:mi><mml:msub><mml:mo>)</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow><mml:mo>+</mml:mo><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">H</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">S</mml:mi></mml:mrow><mml:mo>+</mml:mo><mml:mn mathvariant="normal">4</mml:mn><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow><mml:mo>→</mml:mo><mml:mn mathvariant="normal">2</mml:mn><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="normal">Fe</mml:mi><mml:mrow><mml:mn mathvariant="normal">2</mml:mn><mml:mo>+</mml:mo></mml:mrow></mml:msup></mml:mrow><mml:mo>+</mml:mo><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">S</mml:mi><mml:mn mathvariant="normal">0</mml:mn></mml:msub></mml:mrow><mml:mo>+</mml:mo><mml:mn mathvariant="normal">4</mml:mn><mml:mrow class="chem"><mml:msubsup><mml:mi mathvariant="normal">HCO</mml:mi><mml:mn mathvariant="normal">3</mml:mn><mml:mo>-</mml:mo></mml:msubsup></mml:mrow><mml:mo>+</mml:mo><mml:mn mathvariant="normal">2</mml:mn><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">H</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col2">(R12)</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"><inline-formula><mml:math id="M325" display="inline"><mml:mrow><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="normal">Fe</mml:mi><mml:mrow><mml:mn mathvariant="normal">2</mml:mn><mml:mo>+</mml:mo></mml:mrow></mml:msup></mml:mrow><mml:mo>+</mml:mo><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">H</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">S</mml:mi></mml:mrow><mml:mo>→</mml:mo><mml:mrow class="chem"><mml:mi mathvariant="normal">FeS</mml:mi></mml:mrow><mml:mo>+</mml:mo><mml:mn mathvariant="normal">2</mml:mn><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="normal">H</mml:mi><mml:mo>+</mml:mo></mml:msup></mml:mrow></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col2">(R13)</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"><inline-formula><mml:math id="M326" display="inline"><mml:mrow><mml:mrow class="chem"><mml:msubsup><mml:mi mathvariant="normal">SO</mml:mi><mml:mn mathvariant="normal">4</mml:mn><mml:mrow><mml:mn mathvariant="normal">2</mml:mn><mml:mo>-</mml:mo></mml:mrow></mml:msubsup></mml:mrow><mml:mo>+</mml:mo><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CH</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:mrow><mml:mo>→</mml:mo><mml:mn mathvariant="normal">2</mml:mn><mml:mrow class="chem"><mml:msubsup><mml:mi mathvariant="normal">HCO</mml:mi><mml:mn mathvariant="normal">3</mml:mn><mml:mo>-</mml:mo></mml:msubsup></mml:mrow><mml:mo>+</mml:mo><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="normal">HS</mml:mi><mml:mo>-</mml:mo></mml:msup></mml:mrow></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col2">(R14)</oasis:entry>
       </oasis:row>
     </oasis:tbody>
   </oasis:tgroup></oasis:table></table-wrap>

<sec id="App1.Ch1.S1.SSx1" specific-use="unnumbered">
  <title>Partial differential equations</title>
      <p id="d2e6041">We established a 1-dimensional RTM to simulate the variations of OM and porewater ions given in Table A1. The RTM was achieved by the ReacTran package in R language (Soetaert and Meysman, 2012) via the following partial diﬀerential equations:

                <disp-formula specific-use="align" content-type="numbered"><mml:math id="M327" display="block"><mml:mtable displaystyle="true"><mml:mlabeledtr id="App1.Ch1.S1.E1"><mml:mtd><mml:mtext>A1</mml:mtext></mml:mtd><mml:mtd><mml:mstyle class="stylechange" displaystyle="true"/></mml:mtd><mml:mtd><mml:mrow><mml:mstyle class="stylechange" displaystyle="true"/><mml:mtable class="aligned" rowspacing="0.2ex" columnspacing="1em" displaystyle="true" columnalign="right left"><mml:mtr><mml:mtd><mml:mstyle class="stylechange" displaystyle="true"/></mml:mtd><mml:mtd><mml:mrow><mml:mstyle class="stylechange" displaystyle="true"/><mml:mi mathvariant="italic">ϕ</mml:mi><mml:mo>⋅</mml:mo><mml:mstyle displaystyle="true"><mml:mfrac style="display"><mml:mrow><mml:mo>∂</mml:mo><mml:mi>C</mml:mi></mml:mrow><mml:mrow><mml:mo>∂</mml:mo><mml:mi>t</mml:mi></mml:mrow></mml:mfrac></mml:mstyle><mml:mo>=</mml:mo><mml:mstyle displaystyle="true"><mml:mfrac style="display"><mml:mrow><mml:mo>∂</mml:mo><mml:mfenced open="(" close=")"><mml:mrow><mml:mi mathvariant="italic">ϕ</mml:mi><mml:mo>⋅</mml:mo><mml:mo>(</mml:mo><mml:msub><mml:mi>D</mml:mi><mml:mi>s</mml:mi></mml:msub><mml:mo>+</mml:mo><mml:msub><mml:mi>D</mml:mi><mml:mi>b</mml:mi></mml:msub><mml:mo>)</mml:mo><mml:mo>⋅</mml:mo><mml:mstyle displaystyle="false"><mml:mfrac style="text"><mml:mrow><mml:mo>∂</mml:mo><mml:mi>C</mml:mi></mml:mrow><mml:mrow><mml:mo>∂</mml:mo><mml:mi>x</mml:mi></mml:mrow></mml:mfrac></mml:mstyle></mml:mrow></mml:mfenced></mml:mrow><mml:mrow><mml:mo>∂</mml:mo><mml:mi>x</mml:mi></mml:mrow></mml:mfrac></mml:mstyle><mml:mo>-</mml:mo><mml:mstyle displaystyle="true"><mml:mfrac style="display"><mml:mrow><mml:mo>∂</mml:mo><mml:mo>(</mml:mo><mml:mi mathvariant="italic">ϕ</mml:mi><mml:mo>⋅</mml:mo><mml:mi>v</mml:mi><mml:mo>⋅</mml:mo><mml:mi>C</mml:mi><mml:mo>)</mml:mo></mml:mrow><mml:mrow><mml:mo>∂</mml:mo><mml:mi>x</mml:mi></mml:mrow></mml:mfrac></mml:mstyle></mml:mrow></mml:mtd></mml:mtr><mml:mtr><mml:mtd><mml:mstyle class="stylechange" displaystyle="true"/></mml:mtd><mml:mtd><mml:mrow><mml:mstyle displaystyle="true" class="stylechange"/><mml:mspace width="1em" linebreak="nobreak"/><mml:mo>+</mml:mo><mml:mi mathvariant="italic">ϕ</mml:mi><mml:mo>⋅</mml:mo><mml:mo movablelimits="false">∑</mml:mo><mml:msub><mml:mi>R</mml:mi><mml:mn mathvariant="normal">1</mml:mn></mml:msub></mml:mrow></mml:mtd></mml:mtr></mml:mtable></mml:mrow></mml:mtd></mml:mlabeledtr><mml:mlabeledtr id="App1.Ch1.S1.E2"><mml:mtd><mml:mtext>A2</mml:mtext></mml:mtd><mml:mtd><mml:mstyle displaystyle="true" class="stylechange"/></mml:mtd><mml:mtd><mml:mrow><mml:mstyle displaystyle="true" class="stylechange"/><mml:mtable class="aligned" columnspacing="1em" rowspacing="0.2ex" displaystyle="true" columnalign="right left"><mml:mtr><mml:mtd><mml:mstyle displaystyle="true" class="stylechange"/></mml:mtd><mml:mtd><mml:mrow><mml:mstyle class="stylechange" displaystyle="true"/><mml:mo>(</mml:mo><mml:mn mathvariant="normal">1</mml:mn><mml:mo>-</mml:mo><mml:mi mathvariant="italic">ϕ</mml:mi><mml:mo>)</mml:mo><mml:mo>⋅</mml:mo><mml:mstyle displaystyle="true"><mml:mfrac style="display"><mml:mrow><mml:mo>∂</mml:mo><mml:mi>S</mml:mi></mml:mrow><mml:mrow><mml:mo>∂</mml:mo><mml:mi>t</mml:mi></mml:mrow></mml:mfrac></mml:mstyle><mml:mo>=</mml:mo><mml:mstyle displaystyle="true"><mml:mfrac style="display"><mml:mrow><mml:mo>∂</mml:mo><mml:mfenced close=")" open="("><mml:mrow><mml:mo>(</mml:mo><mml:mn mathvariant="normal">1</mml:mn><mml:mo>-</mml:mo><mml:mi mathvariant="italic">ϕ</mml:mi><mml:mo>)</mml:mo><mml:mo>⋅</mml:mo><mml:msub><mml:mi>D</mml:mi><mml:mi>b</mml:mi></mml:msub><mml:mo>⋅</mml:mo><mml:mstyle displaystyle="false"><mml:mfrac style="text"><mml:mrow><mml:mo>∂</mml:mo><mml:mi>S</mml:mi></mml:mrow><mml:mrow><mml:mo>∂</mml:mo><mml:mi>x</mml:mi></mml:mrow></mml:mfrac></mml:mstyle></mml:mrow></mml:mfenced></mml:mrow><mml:mrow><mml:mo>∂</mml:mo><mml:mi>x</mml:mi></mml:mrow></mml:mfrac></mml:mstyle></mml:mrow></mml:mtd></mml:mtr><mml:mtr><mml:mtd><mml:mstyle displaystyle="true" class="stylechange"/></mml:mtd><mml:mtd><mml:mrow><mml:mstyle class="stylechange" displaystyle="true"/><mml:mspace width="1em" linebreak="nobreak"/><mml:mo>-</mml:mo><mml:mstyle displaystyle="true"><mml:mfrac style="display"><mml:mrow><mml:mo>∂</mml:mo><mml:mo>(</mml:mo><mml:mo>(</mml:mo><mml:mn mathvariant="normal">1</mml:mn><mml:mo>-</mml:mo><mml:mi mathvariant="italic">ϕ</mml:mi><mml:mo>)</mml:mo><mml:mo>⋅</mml:mo><mml:mi>w</mml:mi><mml:mo>⋅</mml:mo><mml:mi>S</mml:mi><mml:mo>)</mml:mo></mml:mrow><mml:mrow><mml:mo>∂</mml:mo><mml:mi>x</mml:mi></mml:mrow></mml:mfrac></mml:mstyle><mml:mo>+</mml:mo><mml:mo>(</mml:mo><mml:mn mathvariant="normal">1</mml:mn><mml:mo>-</mml:mo><mml:mi mathvariant="italic">ϕ</mml:mi><mml:mo>)</mml:mo><mml:mo>⋅</mml:mo><mml:mo movablelimits="false">∑</mml:mo><mml:msub><mml:mi>R</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:mtd></mml:mtr></mml:mtable></mml:mrow></mml:mtd></mml:mlabeledtr></mml:mtable></mml:math></disp-formula>

          where <inline-formula><mml:math id="M328" display="inline"><mml:mi>C</mml:mi></mml:math></inline-formula> denotes the dissolved ion concentration in porewater (<inline-formula><mml:math id="M329" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">mmol</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">L</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>), <inline-formula><mml:math id="M330" display="inline"><mml:mi>S</mml:mi></mml:math></inline-formula> represents OM contents, <inline-formula><mml:math id="M331" display="inline"><mml:mi>x</mml:mi></mml:math></inline-formula> is depth (cm below sea floor), and <inline-formula><mml:math id="M332" display="inline"><mml:mrow><mml:mo>∑</mml:mo><mml:msub><mml:mi>R</mml:mi><mml:mn mathvariant="normal">1</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M333" display="inline"><mml:mrow><mml:mo>∑</mml:mo><mml:msub><mml:mi>R</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> define the net reaction rates in porewater and dry sediments, respectively. More parameters and definitions are given in Table A2.</p><table-wrap id="TA2"><label>Table A2</label><caption><p id="d2e6394">Reaction and transport parameters used in the RTM, following (a) Boudreau, 1997, (b) Jilbert et al., 2021, and (c) Reed et al., 2011. Limiting concentrations double as inhibition coefficients in the Monod scheme (Boudreau, 1996).</p></caption><oasis:table frame="topbot"><oasis:tgroup cols="3">
     <oasis:colspec colnum="1" colname="col1" align="left"/>
     <oasis:colspec colnum="2" colname="col2" align="left"/>
     <oasis:colspec colnum="3" colname="col3" align="left"/>
     <oasis:thead>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1">Parameter</oasis:entry>
         <oasis:entry colname="col2">Value or expression</oasis:entry>
         <oasis:entry colname="col3">Units</oasis:entry>
       </oasis:row>
     </oasis:thead>
     <oasis:tbody>
       <oasis:row>
         <oasis:entry colname="col1">Porosity at depth <inline-formula><mml:math id="M334" display="inline"><mml:mrow><mml:msup><mml:mi>x</mml:mi><mml:mi mathvariant="normal">a</mml:mi></mml:msup></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col2"><inline-formula><mml:math id="M335" display="inline"><mml:mrow><mml:mi mathvariant="italic">ϕ</mml:mi><mml:mo>(</mml:mo><mml:mi>x</mml:mi><mml:mo>)</mml:mo><mml:mo>=</mml:mo><mml:msub><mml:mi mathvariant="italic">ϕ</mml:mi><mml:mi mathvariant="normal">∞</mml:mi></mml:msub><mml:mo>+</mml:mo><mml:mo>(</mml:mo><mml:msub><mml:mi mathvariant="italic">ϕ</mml:mi><mml:mn mathvariant="normal">0</mml:mn></mml:msub><mml:mo>-</mml:mo><mml:msub><mml:mi mathvariant="italic">ϕ</mml:mi><mml:mi mathvariant="normal">∞</mml:mi></mml:msub><mml:mo>)</mml:mo><mml:mi>exp⁡</mml:mi><mml:mo>(</mml:mo><mml:mo>-</mml:mo><mml:mo>max⁡</mml:mo><mml:mo>(</mml:mo><mml:mn mathvariant="normal">0</mml:mn><mml:mo>,</mml:mo><mml:mi>x</mml:mi><mml:mo>-</mml:mo><mml:msub><mml:mi>x</mml:mi><mml:mn mathvariant="normal">0</mml:mn></mml:msub><mml:mo>)</mml:mo><mml:mo>/</mml:mo><mml:msub><mml:mi>x</mml:mi><mml:mtext>att</mml:mtext></mml:msub><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col3"><inline-formula><mml:math id="M336" display="inline"><mml:mrow class="unit"><mml:msup><mml:mi mathvariant="normal">cm</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msup><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">cm</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></oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Porosity at surface sediment<sup>b</sup></oasis:entry>
         <oasis:entry colname="col2"><inline-formula><mml:math id="M338" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">ϕ</mml:mi><mml:mn mathvariant="normal">0</mml:mn></mml:msub><mml:mo>=</mml:mo><mml:mn mathvariant="normal">0.94</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col3"><inline-formula><mml:math id="M339" display="inline"><mml:mrow class="unit"><mml:msup><mml:mi mathvariant="normal">cm</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msup><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">cm</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></oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Porosity at 1 <inline-formula><mml:math id="M340" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:math></inline-formula><sup>b</sup></oasis:entry>
         <oasis:entry colname="col2"><inline-formula><mml:math id="M342" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">ϕ</mml:mi><mml:mi mathvariant="normal">∞</mml:mi></mml:msub><mml:mo>=</mml:mo><mml:mn mathvariant="normal">0.86</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col3"><inline-formula><mml:math id="M343" display="inline"><mml:mrow class="unit"><mml:msup><mml:mi mathvariant="normal">cm</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msup><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">cm</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></oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Depth to start exponential decrease</oasis:entry>
         <oasis:entry colname="col2"><inline-formula><mml:math id="M344" display="inline"><mml:mrow><mml:msub><mml:mi>x</mml:mi><mml:mn mathvariant="normal">0</mml:mn></mml:msub><mml:mo>=</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col3">cm</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Attenuation coefficient in exp.decrease</oasis:entry>
         <oasis:entry colname="col2"><inline-formula><mml:math id="M345" display="inline"><mml:mrow><mml:msub><mml:mi>x</mml:mi><mml:mtext>att</mml:mtext></mml:msub><mml:mo>=</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col3">cm</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Solid volume fraction<sup>b</sup></oasis:entry>
         <oasis:entry colname="col2"><inline-formula><mml:math id="M347" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">ϕ</mml:mi><mml:mi mathvariant="normal">S</mml:mi></mml:msub><mml:mo>(</mml:mo><mml:mi>x</mml:mi><mml:mo>)</mml:mo><mml:mo>=</mml:mo><mml:mn mathvariant="normal">1</mml:mn><mml:mo>-</mml:mo><mml:mi mathvariant="italic">ϕ</mml:mi></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col3"><inline-formula><mml:math id="M348" display="inline"><mml:mrow class="unit"><mml:msup><mml:mi mathvariant="normal">cm</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msup><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">cm</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></oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Tortuosity<sup>a</sup></oasis:entry>
         <oasis:entry colname="col2"><inline-formula><mml:math id="M350" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">θ</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msup><mml:mo>(</mml:mo><mml:mi mathvariant="italic">ϕ</mml:mi><mml:mo>)</mml:mo><mml:mo>=</mml:mo><mml:mn mathvariant="normal">1</mml:mn><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2</mml:mn><mml:mi>ln⁡</mml:mi><mml:mi mathvariant="italic">ϕ</mml:mi></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col3">–</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Sediment density<sup>b</sup></oasis:entry>
         <oasis:entry colname="col2"><inline-formula><mml:math id="M352" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">ρ</mml:mi><mml:mi mathvariant="normal">S</mml:mi></mml:msub><mml:mo>=</mml:mo><mml:mn mathvariant="normal">2.48</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col3"><inline-formula><mml:math id="M353" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">g</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">cm</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></oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Sediment accumulation rate<sup>b</sup></oasis:entry>
         <oasis:entry colname="col2"><inline-formula><mml:math id="M355" display="inline"><mml:mrow><mml:msub><mml:mi>v</mml:mi><mml:mn mathvariant="normal">0</mml:mn></mml:msub><mml:mo>=</mml:mo><mml:mn mathvariant="normal">0.5</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col3"><inline-formula><mml:math id="M356" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">cm</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">yr</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula></oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Burial velocity of porewater</oasis:entry>
         <oasis:entry colname="col2"><inline-formula><mml:math id="M357" display="inline"><mml:mrow><mml:mi>v</mml:mi><mml:mo>=</mml:mo><mml:msub><mml:mi>v</mml:mi><mml:mn mathvariant="normal">0</mml:mn></mml:msub><mml:mstyle displaystyle="true"><mml:mfrac style="display"><mml:mrow><mml:msub><mml:mi mathvariant="normal">Φ</mml:mi><mml:mtext>inf</mml:mtext></mml:msub></mml:mrow><mml:mi mathvariant="normal">Φ</mml:mi></mml:mfrac></mml:mstyle></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col3"><inline-formula><mml:math id="M358" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">cm</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">yr</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula></oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Burial velocity of OM</oasis:entry>
         <oasis:entry colname="col2"><inline-formula><mml:math id="M359" display="inline"><mml:mrow><mml:mi>w</mml:mi><mml:mo>=</mml:mo><mml:msub><mml:mi>v</mml:mi><mml:mn mathvariant="normal">0</mml:mn></mml:msub><mml:mstyle displaystyle="true"><mml:mfrac style="display"><mml:mrow><mml:mn mathvariant="normal">1</mml:mn><mml:mo>-</mml:mo><mml:msub><mml:mi mathvariant="normal">Φ</mml:mi><mml:mtext>inf</mml:mtext></mml:msub></mml:mrow><mml:mrow><mml:mn mathvariant="normal">1</mml:mn><mml:mo>-</mml:mo><mml:mi mathvariant="normal">Φ</mml:mi></mml:mrow></mml:mfrac></mml:mstyle></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col3"><inline-formula><mml:math id="M360" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">cm</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">yr</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula></oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Bioturbation</oasis:entry>
         <oasis:entry colname="col2"><inline-formula><mml:math id="M361" display="inline"><mml:mrow><mml:msub><mml:mi>D</mml:mi><mml:mi>b</mml:mi></mml:msub><mml:mo>(</mml:mo><mml:mi>x</mml:mi><mml:mo>)</mml:mo><mml:mo>=</mml:mo><mml:msub><mml:mi>D</mml:mi><mml:mrow><mml:mi>b</mml:mi><mml:mn mathvariant="normal">0</mml:mn></mml:mrow></mml:msub><mml:mi>exp⁡</mml:mi><mml:mo>(</mml:mo><mml:mo>-</mml:mo><mml:mo>max⁡</mml:mo><mml:mo>(</mml:mo><mml:mn mathvariant="normal">0</mml:mn><mml:mo>,</mml:mo><mml:mi>x</mml:mi><mml:mo>-</mml:mo><mml:msub><mml:mi>x</mml:mi><mml:mn mathvariant="normal">0</mml:mn></mml:msub><mml:mo>)</mml:mo><mml:mo>/</mml:mo><mml:msub><mml:mi>x</mml:mi><mml:mtext>att</mml:mtext></mml:msub><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col3"><inline-formula><mml:math id="M362" display="inline"><mml:mrow class="unit"><mml:msup><mml:mi mathvariant="normal">cm</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula><inline-formula><mml:math id="M363" display="inline"><mml:mrow class="unit"><mml:msup><mml:mi mathvariant="normal">yr</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula></oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Bioturbation coefficient</oasis:entry>
         <oasis:entry colname="col2"><inline-formula><mml:math id="M364" display="inline"><mml:mrow><mml:msub><mml:mi>D</mml:mi><mml:mrow><mml:mi>b</mml:mi><mml:mn mathvariant="normal">0</mml:mn></mml:mrow></mml:msub><mml:mo>=</mml:mo><mml:mn mathvariant="normal">1500</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col3"><inline-formula><mml:math id="M365" display="inline"><mml:mrow class="unit"><mml:msup><mml:mi mathvariant="normal">cm</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msup><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">yr</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula></oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Limiting concentration of <inline-formula><mml:math id="M366" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula><sup>c</sup></oasis:entry>
         <oasis:entry colname="col2"><inline-formula><mml:math id="M368" display="inline"><mml:mrow><mml:msub><mml:mi>k</mml:mi><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:msub><mml:mo>=</mml:mo><mml:mn mathvariant="normal">20</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col3"><inline-formula><mml:math id="M369" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi><mml:mi mathvariant="normal">mol</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">L</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula></oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Limiting concentration of <inline-formula><mml:math id="M370" display="inline"><mml:mrow class="chem"><mml:msubsup><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">3</mml:mn><mml:mo>-</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula><sup>c</sup></oasis:entry>
         <oasis:entry colname="col2"><inline-formula><mml:math id="M372" display="inline"><mml:mrow><mml:msub><mml:mi>k</mml:mi><mml:mrow class="chem"><mml:msubsup><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">3</mml:mn><mml:mo>-</mml:mo></mml:msubsup></mml:mrow></mml:msub><mml:mo>=</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col3"><inline-formula><mml:math id="M373" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi><mml:mi mathvariant="normal">mol</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">L</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula></oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Limiting concentration of <inline-formula><mml:math id="M374" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">MnO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula><sup>c</sup></oasis:entry>
         <oasis:entry colname="col2"><inline-formula><mml:math id="M376" display="inline"><mml:mrow><mml:msub><mml:mi>k</mml:mi><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">MnO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:msub><mml:mo>=</mml:mo><mml:mn mathvariant="normal">4</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col3"><inline-formula><mml:math id="M377" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi><mml:mi mathvariant="normal">mol</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">g</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula></oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Limiting concentration of <inline-formula><mml:math id="M378" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">Fe</mml:mi><mml:mo>(</mml:mo><mml:mi mathvariant="normal">OH</mml:mi><mml:msub><mml:mo>)</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula><sup>c</sup></oasis:entry>
         <oasis:entry colname="col2"><inline-formula><mml:math id="M380" display="inline"><mml:mrow><mml:msub><mml:mi>k</mml:mi><mml:mrow><mml:msub><mml:mrow class="chem"><mml:mi mathvariant="normal">Fe</mml:mi><mml:mo>(</mml:mo><mml:mi mathvariant="normal">OH</mml:mi><mml:mo>)</mml:mo></mml:mrow><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:msub><mml:mo>=</mml:mo><mml:mn mathvariant="normal">65</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col3"><inline-formula><mml:math id="M381" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi><mml:mi mathvariant="normal">mol</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">g</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula></oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Limiting concentration of <inline-formula><mml:math id="M382" display="inline"><mml:mrow class="chem"><mml:msubsup><mml:mi mathvariant="normal">SO</mml:mi><mml:mn mathvariant="normal">4</mml:mn><mml:mrow><mml:mn mathvariant="normal">2</mml:mn><mml:mo>-</mml:mo></mml:mrow></mml:msubsup></mml:mrow></mml:math></inline-formula><sup>c</sup></oasis:entry>
         <oasis:entry colname="col2"><inline-formula><mml:math id="M384" display="inline"><mml:mrow><mml:msub><mml:mi>k</mml:mi><mml:mrow class="chem"><mml:msubsup><mml:mi mathvariant="normal">SO</mml:mi><mml:mn mathvariant="normal">4</mml:mn><mml:mrow><mml:mn mathvariant="normal">2</mml:mn><mml:mo>-</mml:mo></mml:mrow></mml:msubsup></mml:mrow></mml:msub><mml:mo>=</mml:mo><mml:mn mathvariant="normal">1.6</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col3"><inline-formula><mml:math id="M385" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">mmol</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">L</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula></oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">R1–6 decay constant (reactive OC)</oasis:entry>
         <oasis:entry colname="col2"><inline-formula><mml:math id="M386" display="inline"><mml:mrow><mml:msub><mml:mi>k</mml:mi><mml:mtext>OC1</mml:mtext></mml:msub><mml:mo>=</mml:mo><mml:mn mathvariant="normal">1.6</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col3"><inline-formula><mml:math id="M387" display="inline"><mml:mrow class="unit"><mml:msup><mml:mi mathvariant="normal">yr</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula></oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">R1–6 decay constant (less reactive OC)</oasis:entry>
         <oasis:entry colname="col2"><inline-formula><mml:math id="M388" display="inline"><mml:mrow><mml:msub><mml:mi>k</mml:mi><mml:mtext>OC2</mml:mtext></mml:msub><mml:mo>=</mml:mo><mml:mn mathvariant="normal">0.0086</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col3"><inline-formula><mml:math id="M389" display="inline"><mml:mrow class="unit"><mml:msup><mml:mi mathvariant="normal">yr</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula></oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">R7 reaction constant</oasis:entry>
         <oasis:entry colname="col2"><inline-formula><mml:math id="M390" display="inline"><mml:mrow><mml:msub><mml:mi>k</mml:mi><mml:mtext>R7</mml:mtext></mml:msub><mml:mo>=</mml:mo><mml:mn mathvariant="normal">15</mml:mn><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mn mathvariant="normal">000</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col3"><inline-formula><mml:math id="M391" display="inline"><mml:mrow class="unit"><mml:msup><mml:mi mathvariant="normal">mmol</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mi mathvariant="normal">L</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">yr</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula></oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">R8 reaction constant</oasis:entry>
         <oasis:entry colname="col2"><inline-formula><mml:math id="M392" display="inline"><mml:mrow><mml:msub><mml:mi>k</mml:mi><mml:mtext>R8</mml:mtext></mml:msub><mml:mo>=</mml:mo><mml:mn mathvariant="normal">20</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col3"><inline-formula><mml:math id="M393" display="inline"><mml:mrow class="unit"><mml:msup><mml:mi mathvariant="normal">mmol</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mi mathvariant="normal">L</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">yr</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula></oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">R9 reaction constant</oasis:entry>
         <oasis:entry colname="col2"><inline-formula><mml:math id="M394" display="inline"><mml:mrow><mml:msub><mml:mi>k</mml:mi><mml:mtext>R9</mml:mtext></mml:msub><mml:mo>=</mml:mo><mml:mn mathvariant="normal">1400</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col3"><inline-formula><mml:math id="M395" display="inline"><mml:mrow class="unit"><mml:msup><mml:mi mathvariant="normal">mmol</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mi mathvariant="normal">L</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">yr</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula></oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">R10 reaction constant</oasis:entry>
         <oasis:entry colname="col2"><inline-formula><mml:math id="M396" display="inline"><mml:mrow><mml:msub><mml:mi>k</mml:mi><mml:mtext>R10</mml:mtext></mml:msub><mml:mo>=</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col3"><inline-formula><mml:math id="M397" display="inline"><mml:mrow class="unit"><mml:msup><mml:mi mathvariant="normal">mmol</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mi mathvariant="normal">L</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">yr</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula></oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">R11 reaction constant</oasis:entry>
         <oasis:entry colname="col2"><inline-formula><mml:math id="M398" display="inline"><mml:mrow><mml:msub><mml:mi>k</mml:mi><mml:mtext>R11</mml:mtext></mml:msub><mml:mo>=</mml:mo><mml:mn mathvariant="normal">160</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col3"><inline-formula><mml:math id="M399" display="inline"><mml:mrow class="unit"><mml:msup><mml:mi mathvariant="normal">mmol</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mi mathvariant="normal">L</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">yr</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula></oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">R12 reaction constant</oasis:entry>
         <oasis:entry colname="col2"><inline-formula><mml:math id="M400" display="inline"><mml:mrow><mml:msub><mml:mi>k</mml:mi><mml:mtext>R12</mml:mtext></mml:msub><mml:mo>=</mml:mo><mml:mn mathvariant="normal">8</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col3"><inline-formula><mml:math id="M401" display="inline"><mml:mrow class="unit"><mml:msup><mml:mi mathvariant="normal">mmol</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mi mathvariant="normal">L</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">yr</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula></oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">R13 reaction constant</oasis:entry>
         <oasis:entry colname="col2"><inline-formula><mml:math id="M402" display="inline"><mml:mrow><mml:msub><mml:mi>k</mml:mi><mml:mtext>R13</mml:mtext></mml:msub><mml:mo>=</mml:mo><mml:mn mathvariant="normal">1000</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col3"><inline-formula><mml:math id="M403" display="inline"><mml:mrow class="unit"><mml:msup><mml:mi mathvariant="normal">mmol</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mi mathvariant="normal">L</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">yr</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula></oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">R14 reaction constant</oasis:entry>
         <oasis:entry colname="col2"><inline-formula><mml:math id="M404" display="inline"><mml:mrow><mml:msub><mml:mi>k</mml:mi><mml:mtext>R14</mml:mtext></mml:msub><mml:mo>=</mml:mo><mml:mn mathvariant="normal">10</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col3"><inline-formula><mml:math id="M405" display="inline"><mml:mrow class="unit"><mml:msup><mml:mi mathvariant="normal">mmol</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mi mathvariant="normal">L</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">yr</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula></oasis:entry>
       </oasis:row>
     </oasis:tbody>
   </oasis:tgroup></oasis:table></table-wrap>

<table-wrap id="TA3"><label>Table A3</label><caption><p id="d2e7974">Rates of reactions given in Table A1; <inline-formula><mml:math id="M406" display="inline"><mml:mi>i</mml:mi></mml:math></inline-formula> stands for the reactive or less reactive OM pools.</p></caption><oasis:table frame="topbot"><oasis:tgroup cols="1">
     <oasis:colspec colnum="1" colname="col1" align="left"/>
     <oasis:tbody>
       <oasis:row>
         <oasis:entry colname="col1"><inline-formula><mml:math id="M407" display="inline"><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:msub><mml:mo>=</mml:mo><mml:msub><mml:mi>k</mml:mi><mml:mi>i</mml:mi></mml:msub><mml:mtext>OC</mml:mtext><mml:mfenced open="(" close=")"><mml:mstyle displaystyle="true"><mml:mfrac style="display"><mml:mrow><mml:mo>[</mml:mo><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow><mml:mo>]</mml:mo></mml:mrow><mml:mrow><mml:msub><mml:mi>k</mml:mi><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:msub><mml:mo>+</mml:mo><mml:mo>[</mml:mo><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow><mml:mo>]</mml:mo></mml:mrow></mml:mfrac></mml:mstyle></mml:mfenced></mml:mrow></mml:math></inline-formula></oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"><inline-formula><mml:math id="M408" display="inline"><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mrow class="chem"><mml:msubsup><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">3</mml:mn><mml:mo>-</mml:mo></mml:msubsup></mml:mrow></mml:msub><mml:mo>=</mml:mo><mml:msub><mml:mi>k</mml:mi><mml:mi>i</mml:mi></mml:msub><mml:mtext>OC</mml:mtext><mml:mfenced open="(" close=")"><mml:mstyle displaystyle="true"><mml:mfrac style="display"><mml:mrow><mml:msub><mml:mi>k</mml:mi><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:msub></mml:mrow><mml:mrow><mml:msub><mml:mi>k</mml:mi><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:msub><mml:mo>+</mml:mo><mml:mo>[</mml:mo><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow><mml:mo>]</mml:mo></mml:mrow></mml:mfrac></mml:mstyle></mml:mfenced><mml:mfenced close=")" open="("><mml:mstyle displaystyle="true"><mml:mfrac style="display"><mml:mrow><mml:mo>[</mml:mo><mml:mrow class="chem"><mml:msubsup><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">3</mml:mn><mml:mo>-</mml:mo></mml:msubsup></mml:mrow><mml:mo>]</mml:mo></mml:mrow><mml:mrow><mml:msub><mml:mi>k</mml:mi><mml:mrow class="chem"><mml:msubsup><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">3</mml:mn><mml:mo>-</mml:mo></mml:msubsup></mml:mrow></mml:msub><mml:mo>+</mml:mo><mml:mo>[</mml:mo><mml:mrow class="chem"><mml:msubsup><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">3</mml:mn><mml:mo>-</mml:mo></mml:msubsup></mml:mrow><mml:mo>]</mml:mo></mml:mrow></mml:mfrac></mml:mstyle></mml:mfenced></mml:mrow></mml:math></inline-formula></oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"><inline-formula><mml:math id="M409" display="inline"><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">MnO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:msub><mml:mo>=</mml:mo><mml:msub><mml:mi>k</mml:mi><mml:mi>i</mml:mi></mml:msub><mml:mtext>OC</mml:mtext><mml:mfenced open="(" close=")"><mml:mstyle displaystyle="true"><mml:mfrac style="display"><mml:mrow><mml:msub><mml:mi>k</mml:mi><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:msub></mml:mrow><mml:mrow><mml:msub><mml:mi>k</mml:mi><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:msub><mml:mo>+</mml:mo><mml:mo>[</mml:mo><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow><mml:mo>]</mml:mo></mml:mrow></mml:mfrac></mml:mstyle></mml:mfenced><mml:mfenced open="(" close=")"><mml:mstyle displaystyle="true"><mml:mfrac style="display"><mml:mrow><mml:msub><mml:mi>k</mml:mi><mml:mrow class="chem"><mml:msubsup><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">3</mml:mn><mml:mo>-</mml:mo></mml:msubsup></mml:mrow></mml:msub></mml:mrow><mml:mrow><mml:msub><mml:mi>k</mml:mi><mml:mrow class="chem"><mml:msubsup><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">3</mml:mn><mml:mo>-</mml:mo></mml:msubsup></mml:mrow></mml:msub><mml:mo>+</mml:mo><mml:mo>[</mml:mo><mml:mrow class="chem"><mml:msubsup><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">3</mml:mn><mml:mo>-</mml:mo></mml:msubsup></mml:mrow><mml:mo>]</mml:mo></mml:mrow></mml:mfrac></mml:mstyle></mml:mfenced><mml:mfenced close=")" open="("><mml:mstyle displaystyle="true"><mml:mfrac style="display"><mml:mrow><mml:mo>[</mml:mo><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">MnO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow><mml:mo>]</mml:mo></mml:mrow><mml:mrow><mml:msub><mml:mi>k</mml:mi><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">MnO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:msub><mml:mo>+</mml:mo><mml:mo>[</mml:mo><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">MnO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow><mml:mo>]</mml:mo></mml:mrow></mml:mfrac></mml:mstyle></mml:mfenced></mml:mrow></mml:math></inline-formula></oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"><inline-formula><mml:math id="M410" display="inline"><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mrow class="chem"><mml:mi mathvariant="normal">Fe</mml:mi><mml:mo>(</mml:mo><mml:mi mathvariant="normal">OH</mml:mi><mml:msub><mml:mo>)</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:msub><mml:mo>=</mml:mo><mml:msub><mml:mi>k</mml:mi><mml:mi>i</mml:mi></mml:msub><mml:mtext>OC</mml:mtext><mml:mfenced open="(" close=")"><mml:mstyle displaystyle="true"><mml:mfrac style="display"><mml:mrow><mml:msub><mml:mi>k</mml:mi><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:msub></mml:mrow><mml:mrow><mml:msub><mml:mi>k</mml:mi><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:msub><mml:mo>+</mml:mo><mml:mo>[</mml:mo><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow><mml:mo>]</mml:mo></mml:mrow></mml:mfrac></mml:mstyle></mml:mfenced><mml:mfenced close=")" open="("><mml:mstyle displaystyle="true"><mml:mfrac style="display"><mml:mrow><mml:msub><mml:mi>k</mml:mi><mml:mrow class="chem"><mml:msubsup><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">3</mml:mn><mml:mo>-</mml:mo></mml:msubsup></mml:mrow></mml:msub></mml:mrow><mml:mrow><mml:msub><mml:mi>k</mml:mi><mml:mrow class="chem"><mml:msubsup><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">3</mml:mn><mml:mo>-</mml:mo></mml:msubsup></mml:mrow></mml:msub><mml:mo>+</mml:mo><mml:mo>[</mml:mo><mml:mrow class="chem"><mml:msubsup><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">3</mml:mn><mml:mo>-</mml:mo></mml:msubsup></mml:mrow><mml:mo>]</mml:mo></mml:mrow></mml:mfrac></mml:mstyle></mml:mfenced><mml:mfenced open="(" close=")"><mml:mstyle displaystyle="true"><mml:mfrac style="display"><mml:mrow><mml:msub><mml:mi>k</mml:mi><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">MnO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:msub></mml:mrow><mml:mrow><mml:msub><mml:mi>k</mml:mi><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">MnO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:msub><mml:mo>+</mml:mo><mml:mo>[</mml:mo><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">MnO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow><mml:mo>]</mml:mo></mml:mrow></mml:mfrac></mml:mstyle></mml:mfenced><mml:mfenced open="(" close=")"><mml:mstyle displaystyle="true"><mml:mfrac style="display"><mml:mrow><mml:mo>[</mml:mo><mml:mrow class="chem"><mml:mi mathvariant="normal">Fe</mml:mi><mml:mo>(</mml:mo><mml:mi mathvariant="normal">OH</mml:mi><mml:msub><mml:mo>)</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow><mml:mo>]</mml:mo></mml:mrow><mml:mrow><mml:msub><mml:mi>k</mml:mi><mml:mrow class="chem"><mml:mi mathvariant="normal">Fe</mml:mi><mml:mo>(</mml:mo><mml:mi mathvariant="normal">OH</mml:mi><mml:msub><mml:mo>)</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:msub><mml:mo>+</mml:mo><mml:mo>[</mml:mo><mml:mrow class="chem"><mml:mi mathvariant="normal">Fe</mml:mi><mml:mo>(</mml:mo><mml:mi mathvariant="normal">OH</mml:mi><mml:msub><mml:mo>)</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow><mml:mo>]</mml:mo></mml:mrow></mml:mfrac></mml:mstyle></mml:mfenced></mml:mrow></mml:math></inline-formula></oasis:entry>
       </oasis:row>
       <oasis:row>
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</sec>
<sec id="App1.Ch1.S1.SSx2" specific-use="unnumbered">
  <title>RTM calibration and validation</title>
      <p id="d2e9367">The RTM is calibrated using the sediment property and geochemical porewater data of the coastal site Storfjärden, north-western Gulf of Finland, Baltic Sea (Jilbert et al., 2021). The included reactions and parameters are given in Tables A1–A3. The following Figs. A1–A3 show the model outputs fitted on the measured sediment profiles.</p>

      <fig id="FA1"><label>Figure A1</label><caption><p id="d2e9372">The fit of downcore porosity (blue circles <inline-formula><mml:math id="M421" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> measured, red line <inline-formula><mml:math id="M422" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> fitted), the calculation of burial rates of organic matter (OM) and porewater, and the effective ammonium (<inline-formula><mml:math id="M423" 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>) diffusion coefficient corrected by tortuosity.</p></caption>
          
          <graphic xlink:href="https://bg.copernicus.org/articles/23/7993/2026/bg-23-7993-2026-f07.png"/>

        </fig>

<fig id="FA2"><label>Figure A2</label><caption><p id="d2e9413">The prescribed organic matter (OM) loading onto surface sediments (3–4 times BALTSEM output) in order to fit the measured OM profile of the coastal site Storfjärden by Jilbert et al. (2021), as shown in Fig. A3.</p></caption>
          
          <graphic xlink:href="https://bg.copernicus.org/articles/23/7993/2026/bg-23-7993-2026-f08.png"/>

        </fig>

      <fig id="FA3"><label>Figure A3</label><caption><p id="d2e9427">Sediment and porewater profiles of major model parameters, measured at the coastal site Storfjärden, north-western Gulf of Finland (blue circles; Jilbert et al., 2021), and modelled results of those parameters (red line); with OC <inline-formula><mml:math id="M424" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> organic carbon content, TOC<inline-formula><mml:math id="M425" display="inline"><mml:mo>/</mml:mo></mml:math></inline-formula>TON <inline-formula><mml:math id="M426" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> total organic carbon to nitrogen ratio, <inline-formula><mml:math id="M427" 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> <inline-formula><mml:math id="M428" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> ammonium, <inline-formula><mml:math id="M429" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="normal">Fe</mml:mi><mml:mrow><mml:mn mathvariant="normal">2</mml:mn><mml:mo>+</mml:mo></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M430" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> iron(II), and <inline-formula><mml:math id="M431" display="inline"><mml:mrow class="chem"><mml:msubsup><mml:mi mathvariant="normal">SO</mml:mi><mml:mn mathvariant="normal">4</mml:mn><mml:mrow><mml:mn mathvariant="normal">2</mml:mn><mml:mo>-</mml:mo></mml:mrow></mml:msubsup></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M432" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> sulphate.</p></caption>
          
          <graphic xlink:href="https://bg.copernicus.org/articles/23/7993/2026/bg-23-7993-2026-f09.png"/>

        </fig>


</sec>
</app>

<app id="App1.Ch1.S2">
  <label>Appendix B</label><title> </title>

      <fig id="FB1"><label>Figure B1</label><caption><p id="d2e9537">Zoom into the normoxic (blue; 200 µM <inline-formula><mml:math id="M433" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>), hypoxic (green; 63 µM <inline-formula><mml:math id="M434" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>), and anoxic (red; 0 µM <inline-formula><mml:math id="M435" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>) <inline-formula><mml:math id="M436" 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> effluxes along time of the Pre-industrial scenario, showing efflux-“tails” starting from circa year 2160 when organic matter (OM) loading reaches pre-industrial baseline values. These <inline-formula><mml:math id="M437" 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> efflux-“tails” are indicative of a eutrophication legacy effect. Due to the effect, true baseline values of <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> efflux are first reached after 2300, depending on the <inline-formula><mml:math id="M439" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> conditions. Grey shadings indicate the different phases of OM loading with (I) pre-eutrophication, (II) strongly increasing, (III) after-peak, and (VI) return to pre-industrial, in line with Fig. 4. The vertical dashed line gives the end point of OM load reductions if following the target of the Baltic Sea Action Plan (BSAP, Table 1).</p></caption>
        
        <graphic xlink:href="https://bg.copernicus.org/articles/23/7993/2026/bg-23-7993-2026-f10.png"/>

      </fig>

<fig id="FB2"><label>Figure B2</label><caption><p id="d2e9635">Effect of changed organic matter (OM) loading (I), salinity (II), sedimentation rate (III), carbon to nitrogen (<inline-formula><mml:math id="M440" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">C</mml:mi><mml:mo>/</mml:mo><mml:mi mathvariant="normal">N</mml:mi></mml:mrow></mml:math></inline-formula>) ratio in OM (IV), and different shares of reactive material in OM (V) compared to baseline conditions representative of the northern coastal Baltic Sea (salinity of 6, Pre-industrial OM loading scenario, sedimentation rate of 6 <inline-formula><mml:math id="M441" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">mm</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">yr</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>, and OM with a <inline-formula><mml:math id="M442" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">C</mml:mi><mml:mo>/</mml:mo><mml:mi mathvariant="normal">N</mml:mi></mml:mrow></mml:math></inline-formula> ratio of 6.6 (reactive fraction) and 13 (less reactive fraction); black line) on <bold>(a)</bold> sediment ammonium (<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>) pool and efflux, and <bold>(b)</bold> its percent change relative to baseline condition. Modelled for anoxic bottom water conditions (0 µM <inline-formula><mml:math id="M444" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>). Dashed lines give the pre-industrial baselines of <inline-formula><mml:math id="M445" 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> pool and efflux. Note the different <inline-formula><mml:math id="M446" display="inline"><mml:mi>y</mml:mi></mml:math></inline-formula>-axis scales between some of the parameters.</p></caption>
        
        <graphic xlink:href="https://bg.copernicus.org/articles/23/7993/2026/bg-23-7993-2026-f11.png"/>

      </fig>


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

      <p id="d2e9744">The R model code and the model output data are available at <ext-link xlink:href="https://doi.org/10.5281/zenodo.22120110" ext-link-type="DOI">10.5281/zenodo.22120110</ext-link> (Sun and Hellemann, 2026).</p>
  </notes><notes notes-type="authorcontribution"><title>Author contributions</title>

      <p id="d2e9753">DH: conceptualization, investigation, visualization, writing – original draft (lead), review and editing (lead); XS: conceptualization, investigation, methodology (lead), visualization, writing – review and editing (co-lead); TJ: investigation, funding acquisition, validation, writing – review and editing; EE: validation, writing – review and editing; BG: validation, writing – review and editing; LH: validation, writing – review and editing; CH: validation, writing – review and editing; BM-K: methodology, validation, writing – review and editing; AN: funding acquisition, validation, writing – review and editing.</p>
  </notes><notes notes-type="competinginterests"><title>Competing interests</title>

      <p id="d2e9759">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="d2e9765">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="d2e9772">We thank the Centre for Coastal Ecosystem and Climate Change Research (<uri>https://www.coastclim.org</uri>, last access: 5 November 2026), jointly operated by University of Helsinki and Stockholm University, whose vibrant research activities inspired this work. Further, we thank Mark McCarthy and an anonymous reviewer, as well as associate editor Perran Cook for their constructive feedback that helped improving our work. This is a publication from the Centre for Coastal Ecosystem and Climate Change Research, as well as UMCES contribution number 6526 and CBL ref. no. 2026-55.</p></ack><notes notes-type="financialsupport"><title>Financial support</title>

      <p id="d2e9780">This research has been supported by the Center for Coastal Ecosystem and Climate Change Research (Dana Hellemann, Christoph Humborg, Alf Norkko), a tenure track support funding from the Faculty of Science, University of Helsinki, to Tom Jilbert (Dana Hellemann, Tom Jilbert), the National Key Research and Development Program of China (grant no. 2023YFF0807102; Xiaole Sun), the Swedish Agency for Marine and Water Management via the grant <inline-formula><mml:math id="M447" display="inline"><mml:mrow><mml:mn mathvariant="normal">1</mml:mn><mml:mo>:</mml:mo><mml:mn mathvariant="normal">11</mml:mn></mml:mrow></mml:math></inline-formula>-Measures for marine and water environment (Eva Ehrnsten, Bo Gustafsson, Bärbel Müller-Karulis), the Fulbright Finland Foundation (Lora Harris), and the Jane and Aatos Erkko Foundation (Alf Norkko).  The publication of this article was funded by the Swedish Research Council, Forte, Formas, and Vinnova</p>
  </notes><notes notes-type="reviewstatement"><title>Review statement</title>

      <p id="d2e9803">This paper was edited by Perran Cook and reviewed by Mark McCarthy and one anonymous referee.</p>
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