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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-23-5095-2026</article-id><title-group><article-title>Assessing methane emissions from an offshore marine aggregate extraction site near Sylt, Eastern North Sea</article-title><alt-title>Methane emissions from offshore marine aggregate extraction</alt-title>
      </title-group>
      <contrib-group>
        <contrib contrib-type="author" corresp="yes" rid="aff1 aff6">
          <name><surname>Schmidt</surname><given-names>Martina</given-names></name>
          <email>martina.schmidt@uni-Heidelberg.de</email>
        <ext-link>https://orcid.org/0000-0002-4648-769X</ext-link></contrib>
        <contrib contrib-type="author" corresp="no" rid="aff3">
          <name><surname>Bussmann</surname><given-names>Ingeborg</given-names></name>
          
        <ext-link>https://orcid.org/0000-0002-1197-7461</ext-link></contrib>
        <contrib contrib-type="author" corresp="no" rid="aff1">
          <name><surname>Reith</surname><given-names>Sarah J. E.</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff2">
          <name><surname>Palzer</surname><given-names>Annika</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff5">
          <name><surname>Couret</surname><given-names>Cedric</given-names></name>
          
        <ext-link>https://orcid.org/0000-0002-1874-9883</ext-link></contrib>
        <contrib contrib-type="author" corresp="no" rid="aff2 aff6">
          <name><surname>Keppler</surname><given-names>Frank</given-names></name>
          
        <ext-link>https://orcid.org/0000-0003-2766-8812</ext-link></contrib>
        <contrib contrib-type="author" corresp="no" rid="aff2">
          <name><surname>Polag</surname><given-names>Daniela</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff4">
          <name><surname>Sander</surname><given-names>Lasse</given-names></name>
          
        <ext-link>https://orcid.org/0000-0003-1066-7952</ext-link></contrib>
        <contrib contrib-type="author" corresp="no" rid="aff2">
          <name><surname>Schroll</surname><given-names>Moritz</given-names></name>
          
        <ext-link>https://orcid.org/0000-0002-4416-1610</ext-link></contrib>
        <contrib contrib-type="author" corresp="no" rid="aff1">
          <name><surname>Wietzel</surname><given-names>Julia B.</given-names></name>
          
        <ext-link>https://orcid.org/0009-0002-2778-3749</ext-link></contrib>
        <aff id="aff1"><label>1</label><institution>Institute of Environmental Physics, Heidelberg University, Heidelberg, Germany</institution>
        </aff>
        <aff id="aff2"><label>2</label><institution>Institute of Earth Sciences, Heidelberg University, Heidelberg, Germany</institution>
        </aff>
        <aff id="aff3"><label>3</label><institution>Alfred-Wegener-Institute, Helmholtz Centre for Polar and Marine Research, Section Shelf Sea System Ecology, Helgoland, Germany</institution>
        </aff>
        <aff id="aff4"><label>4</label><institution>Alfred-Wegener-Institute, Helmholtz Centre for Polar and Marine Research, Wadden Sea Research Station, List/Sylt, Germany</institution>
        </aff>
        <aff id="aff5"><label>5</label><institution>German Environment Agency (UBA), Zugspitze, Germany</institution>
        </aff>
        <aff id="aff6"><label>6</label><institution>Heidelberg Center for the Environment (HCE), Heidelberg University, Heidelberg, Germany</institution>
        </aff>
      </contrib-group>
      <author-notes><corresp id="corr1">Martina Schmidt (martina.schmidt@uni-Heidelberg.de)</corresp></author-notes><pub-date><day>24</day><month>July</month><year>2026</year></pub-date>
      
      <volume>23</volume>
      <issue>14</issue>
      <fpage>5095</fpage><lpage>5115</lpage>
      <history>
        <date date-type="received"><day>1</day><month>October</month><year>2025</year></date>
           <date date-type="rev-request"><day>12</day><month>November</month><year>2025</year></date>
           <date date-type="rev-recd"><day>15</day><month>April</month><year>2026</year></date>
           <date date-type="accepted"><day>23</day><month>June</month><year>2026</year></date>
      </history>
      <permissions>
        <copyright-statement>Copyright: © 2026 Martina Schmidt 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/23/5095/2026/bg-23-5095-2026.html">This article is available from https://bg.copernicus.org/articles/23/5095/2026/bg-23-5095-2026.html</self-uri><self-uri xlink:href="https://bg.copernicus.org/articles/23/5095/2026/bg-23-5095-2026.pdf">The full text article is available as a PDF file from https://bg.copernicus.org/articles/23/5095/2026/bg-23-5095-2026.pdf</self-uri>
      <abstract><title>Abstract</title>

      <p id="d2e202">Coastal regions are estimated to contribute with up to 1 % to the global atmospheric methane (CH<sub>4</sub>) budget. However, these emissions remain highly uncertain due to strong spatial and temporal variability. Anthropogenic activities in coastal waters, such as sand mining and beach nourishment, have not yet been investigated or included in the calculation of the resulting greenhouse gas emissions. Since 1984, regular beach nourishment has been carried out every summer on the west coast of the island of Sylt (North Sea, Germany). During this process, dredging vessels extract a mixture of sand and water from the seabed of a spatially confined area (Westerland II), situated approximately 8 km off the coast and deposit the material on the western beach and foreshore of Sylt. High resolution measurements of CH<sub>4</sub> in ambient air at the coastal atmospheric station Westerland (Sylt, Germany) show CH<sub>4</sub> spikes of up to 400 ppb above background concentrations. These spikes occurred mainly during summer season, during low tide and under westerly wind conditions (from the sand dredging area).</p>

      <p id="d2e232">To investigate the origin of the observed atmospheric CH<sub>4</sub> spikes, combined in-situ measurements of dissolved and atmospheric CH<sub>4</sub> together with water sampling, were performed on board the research vessel RV <italic>Mya II</italic> (AWI, Alfred-Wegener-Institute) along a coastal transect from Sylt to the Westerland II dredging site. In the vicinity of the dredging site, elevated CH<sub>4</sub> concentrations were detected both in ambient air (400–500 ppb above background reaching up to 2450 ppb) and in surface and bottom waters (69–90 nmol L<sup>−1</sup>). This resulted in a mean diffusive flux of 45 <inline-formula><mml:math id="M8" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 47 <inline-formula><mml:math id="M9" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi></mml:mrow></mml:math></inline-formula>mol m<sup>−2</sup> d<sup>−1</sup> with a maximum value of 340 <inline-formula><mml:math id="M12" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi></mml:mrow></mml:math></inline-formula>mol m<sup>−2</sup> d<sup>−1</sup> in the dredging area, in contrast to a diffusive flux of 3.0 <inline-formula><mml:math id="M15" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 3.6 <inline-formula><mml:math id="M16" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi></mml:mrow></mml:math></inline-formula>mol m<sup>−2</sup> d<sup>−1</sup> during the transit. Our observations demonstrate significantly higher CH<sub>4</sub> concentrations and fluxes in both the atmosphere and the water column above the sand dredging site, compared to the areas outside the dredging activities. Furthermore, the isotopic composition of dissolved CH<sub>4</sub> within the dredging site, characterized by more negative stable carbon and hydrogen isotope values, point to a microbial source of the excess CH<sub>4</sub>.</p>
  </abstract>
    
<funding-group>
<award-group id="gs1">
<funding-source>Umweltbundesamt</funding-source>
<award-id>Project 167847</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="d2e426">Atmospheric methane (CH<sub>4</sub>) is the second most important anthropogenic greenhouse gas after carbon dioxide (CO<sub>2</sub>) (IPCC, 2023). Global long-term measurements show that the increase rate of the atmospheric CH<sub>4</sub> mole fraction has accelerated since 2007 after a stable period between 1999 and 2006 (Lan et al., 2021, 2024). In addition to global flask sampling programs (Lan et al., 2024), in situ measurement of atmospheric CH<sub>4</sub> have been performed since the 1980s at background stations of the AGAGE (Advanced Global Atmospheric Gases Experiment) network (Simmonds et al., 1996; Cunnold et al., 2002) and at continental sites such as Schauinsland in the Black Forest, Germany (Schmidt et al., 1996), and more recently, within the European ICOS (Integrated Carbon Observation System) network (Heiskanen et al., 2022).</p>
      <p id="d2e465">Since the 2010s, advances in measurement technology have made it easier to accurately measure the CH<sub>4</sub> mole fraction at remote stations and with higher resolution. These data, with temporal resolution of 1–3 s, help to learn more about the local CO<sub>2</sub> and CH<sub>4</sub> sources, although the data are usually averaged from minute to hourly values. In recent years, the use of such high-resolution data has demonstrated that even remote background stations on mountains such as the Jungfraujoch, Pic du Midi and Zugspitze can be influenced by local pollution (Affolter et al., 2021; El Yazidi et al., 2018; Hoheisel et al., 2023). At the Pic du Midi station, a local sewage treatment plant near the ambient air inlet causes local CH<sub>4</sub> peaks (El Yazidi et al., 2018), and the CO<sub>2</sub> levels at the Jungfraujoch station show anthropogenic influences from the breathing of visitors and tourists (Affolter et al., 2021). At the Zugspitze/Schneefernerhaus station, high-resolution CO<sub>2</sub> and CO time series have identified local pollution events caused by snow blowers and snow groomers, and these events were successfully identified through station management procedures (Hoheisel et al., 2023). Therefore, these high-resolution measurements also provide an opportunity to become aware of local processes and to better quantify local sources.</p>
      <p id="d2e523">At the atmospheric station Westerland (Sylt, Germany) long-term in situ measurements of CO<sub>2</sub> and CH<sub>4</sub> mole fractions are performed by the German Environment Agency (UBA – Umweltbundesamt). The station joined the atmospheric network ICOS in 2021. The measured air is often influenced by air masses from the German mainland and also from the North Sea, with the North Sea sector corresponding to the background air, without direct influences from local or regional pollution. In summer 2022, CH<sub>4</sub> spikes were observed in the high-resolution atmospheric station data from the background (North Sea) sector.</p>
      <p id="d2e553">In the southern North Sea, dissolved CH<sub>4</sub> primarily originates from autochthonous methanogenesis in sediments (Yin et al., 2019) and is subsequently transferred into the water column. Additional CH<sub>4</sub> sources include emissions from tidal flats (Røy et al., 2008; Wu et al., 2015) and inputs from rivers (Upstill-Goddard and Barnes, 2016). Recent warm summers in northern Europe have intensified sedimentary methanogenesis, leading to higher dissolved CH<sub>4</sub> concentrations (Borges et al., 2019). Spatially and temporally resolved surveys between the German North Sea coast and the island of Helgoland (60 km offshore) from 2019 to 2020, revealed a high variability in dissolved CH<sub>4</sub>, ranging from 20 <inline-formula><mml:math id="M39" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 17 nmol L<sup>−1</sup> in June 2019 to 231 <inline-formula><mml:math id="M41" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 343 nmol L<sup>−1</sup> in September 2019 (Bussmann et al., 2021, 2024). At such elevated dissolved CH<sub>4</sub> concentrations in the coastal North Sea (equilibrium <inline-formula><mml:math id="M44" display="inline"><mml:mo>∼</mml:mo></mml:math></inline-formula> 2–3 nmol L<sup>−1</sup>), the resulting diffusive flux is predominantly directed from the sea to the atmosphere.</p>
      <p id="d2e660">Mobile measurements near the atmospheric monitoring station Westerland and on the beach showed that the measured CH<sub>4</sub> spikes originate from the North Sea and are likely related to sand dredging activity for beach nourishment carried out as part of coastal protection. Beach nourishment has been carried out regularly on the west coast of the island of Sylt since 1984. Between April and October, dredging vessels extract a mixture of sand, water, and other unconsolidated sediment fractions from the seafloor of a concession area (Westerland II), located 8 km offshore of the island. Westerland II has been in operation since 1983, and an approximate volume of 56 million m<sup>3</sup> of sand has been extracted for beach nourishment (LKN.SH, 2022). In 2022 alone, approximately 1 million m<sup>3</sup> of sand were dredged from this area. From Westerland II, the extracted aggregates are transported to the beach and foreshore on the west coast of Sylt (LKN.SH, 2022). On a broader scale, marine aggregate extraction in the European North Sea is estimated to roughly 100 000 kt yr<sup>−1</sup>, corresponding to about 62.5 million m<sup>3</sup> yr<sup>−1</sup>, and is used for construction, land reclamation, and beach nourishment (Porz et al., 2026). This topic of marine aggregate extraction is relevant throughout Europe and can be regarded as a use of marine resources of increasing relevance for the future (e.g., BSH, 2021)</p>
      <p id="d2e724">The aim of this study is to investigate the potential CH<sub>4</sub> emissions of sand dredging activities. Continuous measurements of atmospheric and dissolved CH<sub>4</sub> were conducted on board the research vessel <italic>Mya II</italic> (AWI) along a transect from Sylt to the Westerland II dredging site. In addition, water samples collected at different depths were analyzed for dissolved CH<sub>4</sub> concentrations and stable isotope ratios (<inline-formula><mml:math id="M55" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">13</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>C-CH<sub>4</sub> and <inline-formula><mml:math id="M57" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>H-CH<sub>4</sub>,), to identify the origin and processes controlling CH<sub>4</sub> production and emission in the dredging area.</p>
</sec>
<sec id="Ch1.S2">
  <label>2</label><title>Studied area and measurement methods</title>
<sec id="Ch1.S2.SS1">
  <label>2.1</label><title>Study area</title>
      <p id="d2e822">The island of Sylt is located on the eastern seaboard of the North Sea (Germany) and is a wave-exposed, moraine-cored barrier island that borders on a shallow coastal shelf with a water depth of between 10–20 m. Coastal erosion of the sandy beaches along the western shoreline of Sylt led to the adoption of a beach nourishment strategy in 1972 that aims to compensate for the loss of sediment by replenishing aggregates extracted from an offshore resource (MEKUN.SH, 2022). Since the beginning of the measures, a total volume of 56.9 million m<sup>3</sup> of sediment has been nourished to the beaches of Sylt (LKN.SH, 2022). The source area itself is located approximately 8 km offshore of the island, where unconsolidated sand and gravel deposits of Pleistocene age are found and have been extracted here since 1983 (Tremmler, 1994). The area is referred to as Westerland II and has a size of approximately 9 km<sup>2</sup> and is divided into subsections, each of which has been in use for several years until the targeted resource is exploited and the use is abandoned subsequently. The extraction of aggregates results in the formation of large depressions and large-scale features with diameters of several hundreds of meters across and depths of up to 20 m deep. The extraction is conducted by hopper-dredgers that pump sediment through a suction pipe, thereby creating a pattern of connecting craters on the seafloor. The infill of the depressions is a slow process, and the features remain detectable for decades after their use has been abandoned. Their presence entails a local change in the sedimentary regime and hence a shift in local habitat conditions (Mielck et al., 2019, 2021). A study by Figge et al. (2002) described that the sedimentary infill of the abandoned holes is mostly deposited from the suspension load of the water column. As a result, the seafloor in the depressions is mostly combined of marine muds, whereas the surrounding undisturbed seafloor offshore Sylt is primarily composed of medium and coarse sands (Zeiler et al., 2000; Mielck et al., 2015). Part of the relevance of this study stems from the fact that a much larger extraction site, Westerland III, was defined, which was taken in use in summer 2024 (LKN.SH, 2024). Figure 1 presents a map illustrating the location of the island, the ICOS station, and the dredging area.</p>

      <fig id="F1" specific-use="star"><label>Figure 1</label><caption><p id="d2e845">Map. <bold>(A)</bold> Location of the research area <bold>(B)</bold> Overview map of the aggregate extraction site offshore Sylt island. The ICOS atmospheric measurement station Westerland is marked with a red dot. <bold>(C)</bold> Detail map of the bathymetry and survey transects (black lines) of the study area at the active sand extraction site Westerland II (red rectangle), orange dots were stations for water sampling and CTD-casts to measure temperature and salinity profiles. Bathymetric information is based on different sources (BSH, German Federal Maritime and Hydrographic Agency, 2025; DGM-W, 2020) and own measurements.</p></caption>
          <graphic xlink:href="https://bg.copernicus.org/articles/23/5095/2026/bg-23-5095-2026-f01.jpg"/>

        </fig>

</sec>
<sec id="Ch1.S2.SS2">
  <label>2.2</label><title>Instrumental setup for the atmospheric CH<sub>4</sub> measurement</title>
<sec id="Ch1.S2.SS2.SSS1">
  <label>2.2.1</label><title>In-situ measurements at ICOS atmospheric station Westerland (WES)</title>
      <p id="d2e888">The ICOS atmospheric station Westerland (WES) (54°55<sup>′</sup> N/8°18<sup>′</sup> E and 12 m above NN) is located between the towns of Westerland and Wennigstedt (10 500 inhabitants) on the west coast of the island of Sylt (German North Sea) (Fig. 1). It is one of the longest operating stations of the German Environment Agency (UBA). The station has been measuring atmospheric CO<sub>2</sub> since 1972 (Levin et al., 1995) and CH<sub>4</sub> since 2009. The station is located near the beach and receives continental and maritime air masses. In July 2021, Westerland station became part of the Integrated Carbon Observation System (ICOS) network, and the measurement setup was upgraded to follow the highly standardized ICOS measurement procedure (Yver-Kwok et al., 2021), including calibration strategy and central data processing. The CO<sub>2</sub> and CH<sub>4</sub> mole fractions are measured continuously using a cavity ring down spectrometer (CRDS, G2301, Picarro, Santa Clara, CA, USA). The air inlet is located on a mast at 14 m a.g.l. Ambient air is dried with a Nafion dryer (D-070-144S-2, Perma Pure, USA) prior to analysis. Four calibration gases and two target gases for quality control are measured periodically. All calibration gases are filled and calibrated in the ICOS-Flask and Calibration Laboratory (FCL) in Jena. The raw data of the CO<sub>2</sub> and CH<sub>4</sub> measurements are available with a resolution of 3 s and are averaged to calibrated minute and hourly averages during the data processing. Meteorological parameters such as wind speed and direction (Ultrasonic Anemometer, Thies, Germany) temperature (Hygro-Thermo Transmitter, Thies, Germany) and pressure (Barometer module, Thies, Germany) are also measured at a temporal resolution of minutes.</p>
</sec>
<sec id="Ch1.S2.SS2.SSS2">
  <label>2.2.2</label><title>Mobile atmospheric measurement on board of RV Mya II and on Sylt island</title>
      <p id="d2e972">The atmospheric CH<sub>4</sub> and CO<sub>2</sub> mole fractions were measured on board of RV <italic>Mya II</italic>, at the beach nourishment site in List, and in the surroundings of the atmospheric monitoring station Westerland using an Optical Feedback-Cavity Enhanced Absorption Spectroscopy (OF-CEAS) trace gas analyser (LI-7810, LI-COR, Lincoln, USA). This instrument was calibrated using a one-point calibration that was determined from regular measurements of a calibration gas (Wietzel and Schmidt, 2023; Wietzel et al., 2025). Two inlet lines (<inline-formula><mml:math id="M73" display="inline"><mml:mrow><mml:mn mathvariant="normal">1</mml:mn><mml:mo>/</mml:mo><mml:mn mathvariant="normal">4</mml:mn></mml:mrow></mml:math></inline-formula>“ Teflon) were installed to measure ambient air – one at the mast, approximately 8 m above sea level, and the other using a handheld line positioned directly overboard near the water surface. A three-way valve was used to switch between the two lines. The different lengths of the inlet lines resulted in delay times of 42 and 32 s, respectively, which were determined by exposing the inlet to a small CO<sub>2</sub> pulse (breath test). The data were later corrected for this delay time during the data treatment and calibration process. For measurements conducted in the vicinity of the Westerland station and at the nourishment site, the instrument was carried in a backpack. It was used to determine CH<sub>4</sub> concentrations in ambient air via a 3 m long Teflon tube or in soil air using a static chamber.</p>
      <p id="d2e1027">In addition to the in-situ measurements with a 1 Hz temporal resolution, ambient air was sampled in nine 3 L tedlar bags with a polypropylene valve (Restek Corporation, Centre County, PA, USA) for later <inline-formula><mml:math id="M76" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">13</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>C-CH<sub>4</sub> analysis in the laboratory using a cavity ring-down spectroscopy (CRDS) analyser (G2201-i, Picarro, Santa Clara, CA, USA) as described by Hoheisel et al. (2019). Throughout the cruise, the position was tracked with two GPS systems (BasicAirData, Google Commerce Ltd. and Garmin 64s, Garmin Ltd.).</p>
</sec>
</sec>
<sec id="Ch1.S2.SS3">
  <label>2.3</label><title>In-situ measurements of dissolved CH<sub>4</sub> in the water column</title>
      <p id="d2e1069">Surface water was provided by the ship's water supply into an overflowing bucket, from which the water was pumped to the setup described below. Dissolved CH<sub>4</sub> concentrations were determined using a dissolved gas extraction unit coupled to a laser-based Greenhouse Gas Analyzer (GGA; Los Gatos Research, USA). Methane was extracted from the water via a hydrophobic membrane and hydrocarbon-free carrier gas on the other side of the membrane (water flow 1 L min<sup>−1</sup>, nitrogen at 0.5 L min<sup>−1</sup>). The carrier gas containing the extracted CH<sub>4</sub> was subsequently directed to the GGA for analysis. The time lag between water intake and corresponding signal detection was determined in the laboratory by switching the inlet between aerated freshwater and saltwater. All data were corrected accordingly. To convert the relative concentrations (ppm) reported by the GGA to absolute concentrations (nmol L<sup>−1</sup>), discrete water samples were collected during the day (Bussmann et al., 2024). The CH<sub>4</sub> concentration in these samples was analyzed by gas chromatography following Magen et al. (2014). A correlation between the methane concentration of the water samples and the simultaneous GGA readings was used to convert all GGA measurements into concentrations of dissolved methane. To test the lower sensitivity of the setup, aerated freshwater with an equilibrium concentration of 2.9 nM was measured in the laboratory, and the instrument readings gave a concentration of 2.3 <inline-formula><mml:math id="M85" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.3 nM.</p>
<sec id="Ch1.S2.SS3.SSSx1" specific-use="unnumbered">
  <title>Calculation of the diffusive methane flux</title>
      <p id="d2e1148">The overall gas exchange across an air–water interface was determined according to Wanninkhof et al. (2009) as:

              <disp-formula id="Ch1.E1" content-type="numbered"><label>1</label><mml:math id="M86" display="block"><mml:mrow><mml:mi>F</mml:mi><mml:mo>=</mml:mo><mml:msub><mml:mi>k</mml:mi><mml:mrow><mml:msub><mml:mi mathvariant="normal">CH</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:mrow></mml:msub><mml:mo>⋅</mml:mo><mml:mo>(</mml:mo><mml:msub><mml:mi>c</mml:mi><mml:mi>m</mml:mi></mml:msub><mml:mo>-</mml:mo><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msub><mml:mi>c</mml:mi><mml:mi mathvariant="normal">equ</mml:mi></mml:msub><mml:mo>)</mml:mo></mml:mrow></mml:math></disp-formula>

            where <inline-formula><mml:math id="M87" display="inline"><mml:mi>F</mml:mi></mml:math></inline-formula> denotes the gas flux per unit area (mmol m<sup>−2</sup> d<sup>−1</sup>), <inline-formula><mml:math id="M90" display="inline"><mml:mrow><mml:msub><mml:mi>c</mml:mi><mml:mi mathvariant="normal">m</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> is the measured CH<sub>4</sub> concentration in surface waters. C<sub>equ</sub> represents the equilibrium concentration with the atmosphere and was calculated based on the equation from Wiesenburg and Guinasso (1979) with the respective water temperature and salinity. For the atmospheric CH<sub>4</sub> concentration data, we used the measurements onboard as described in Sect. 2.2.2.</p>
      <p id="d2e1259">The gas exchange coefficient (<inline-formula><mml:math id="M94" display="inline"><mml:mi>k</mml:mi></mml:math></inline-formula>) is a function of water near-surface turbulence, which in marine and estuarine environments is mainly driven by wind speed (<inline-formula><mml:math id="M95" display="inline"><mml:mrow><mml:msub><mml:mi>U</mml:mi><mml:mn mathvariant="normal">10</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>). The gas exchange velocity <inline-formula><mml:math id="M96" display="inline"><mml:mrow><mml:msub><mml:mi>k</mml:mi><mml:mn mathvariant="normal">600</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> was calculated using the parameterization for coastal seas from Nightingale et al. (2000):

              <disp-formula id="Ch1.E2" content-type="numbered"><label>2</label><mml:math id="M97" display="block"><mml:mrow><mml:msub><mml:mi>k</mml:mi><mml:mn mathvariant="normal">600</mml:mn></mml:msub><mml:mo>=</mml:mo><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mn mathvariant="normal">0.333</mml:mn><mml:msub><mml:mi>U</mml:mi><mml:mrow><mml:mn mathvariant="normal">10</mml:mn><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mspace linebreak="nobreak" width="0.125em"/></mml:mrow></mml:msub><mml:mo>+</mml:mo><mml:mn mathvariant="normal">0.222</mml:mn><mml:msubsup><mml:mi>U</mml:mi><mml:mn mathvariant="normal">10</mml:mn><mml:mn mathvariant="normal">2</mml:mn></mml:msubsup><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mspace linebreak="nobreak" width="0.125em"/></mml:mrow></mml:math></disp-formula>

            The wind-speed-based <inline-formula><mml:math id="M98" display="inline"><mml:mrow><mml:msub><mml:mi>k</mml:mi><mml:mn mathvariant="normal">600</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> parameterization from Nightingale et al. (2000) was applied in this study, primarily due to its widespread utilisation and its representation of a compromise between relationships that have a very strong or a very weak wind-speed dependence (Yang et al., 2019). Wind data were obtained from the ship's meteorological system.</p>
      <p id="d2e1342">The calculated <inline-formula><mml:math id="M99" display="inline"><mml:mrow><mml:msub><mml:mi>k</mml:mi><mml:mn mathvariant="normal">600</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> (for CO<sub>2</sub> at 20 °C) was converted to <inline-formula><mml:math id="M101" display="inline"><mml:mi>k</mml:mi></mml:math></inline-formula>CH<sub>4</sub>, and the Schmidt number (<inline-formula><mml:math id="M103" display="inline"><mml:mi mathvariant="italic">Sc</mml:mi></mml:math></inline-formula>) was adjusted for the measured water temperature and salinity according to Wanninkhof, 2014 (Eq. 4). The Schmidt number (<inline-formula><mml:math id="M104" display="inline"><mml:mi mathvariant="italic">Sc</mml:mi></mml:math></inline-formula>) describes the gas transfer velocity and is gas and temperature specific. It offers the means to determine the gas transfer velocity for different soluble gases over a range of temperatures.

              <disp-formula id="Ch1.E3" content-type="numbered"><label>3</label><mml:math id="M105" display="block"><mml:mrow><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msub><mml:mi>k</mml:mi><mml:mrow><mml:msub><mml:mi mathvariant="normal">CH</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:mrow></mml:msub><mml:mo>/</mml:mo><mml:msub><mml:mi>k</mml:mi><mml:mn mathvariant="normal">600</mml:mn></mml:msub><mml:mo>=</mml:mo><mml:msup><mml:mfenced close=")" open="("><mml:mrow><mml:msub><mml:mi mathvariant="italic">Sc</mml:mi><mml:mrow><mml:msub><mml:mi mathvariant="normal">CH</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:mrow></mml:msub><mml:mo>/</mml:mo><mml:msub><mml:mi mathvariant="italic">Sc</mml:mi><mml:mrow><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:msub><mml:mspace linebreak="nobreak" width="0.125em"/></mml:mrow></mml:mfenced><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">0.5</mml:mn></mml:mrow></mml:msup><mml:mspace width="0.125em" linebreak="nobreak"/></mml:mrow></mml:math></disp-formula></p>
</sec>
</sec>
<sec id="Ch1.S2.SS4">
  <label>2.4</label><title>Water sampling and discrete measurements</title>
      <p id="d2e1459">Water samples were either taken from the ship's water supply for surface water or with a 5 L Niskin bottle from the bottom water. Attached to the Niskin bottle was a CTD (CTD60M, Sea &amp; Sun Technology, Germany), a sensor to measure conductivity, temperature and depth, to measure salinity, temperature and dissolved oxygen profiles. The extraction of dissolved CH<sub>4</sub> was carried out using the headspace method (Magen et al., 2014). Surface water samples were collected at 11 locations along the transect, and depth profiles were obtained at 4 locations: location #1 at 3 depths and locations #2–#4 at 2 depths each. At all sampling locations and depths, three 1 L glass bottles (Schott, Germany) were filled to the brim with seawater. Each glass bottle was used to obtain one gas sample for the measurement of CH<sub>4</sub> concentration, <inline-formula><mml:math id="M108" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">13</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>C-CH<sub>4</sub>, and <inline-formula><mml:math id="M110" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>H-CH<sub>4</sub> values (<inline-formula><mml:math id="M112" display="inline"><mml:mrow><mml:mi>n</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:math></inline-formula>). Surface samples were collected via a tap connected to the shipboard pump system (no filters or desalinators), while depth profile samples were filled directly from the Niskin bottle. After sampling, the glass bottles were sealed with plastic screw-on lids containing two septum ports. Care was taken to ensure that the bottles were overflown at least 3 times the bottle volume before capping to prevent the extraction of dissolved gases during filling. The remaining air was displaced by inserting a hypodermic needle (0.8 <inline-formula><mml:math id="M113" display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula> 40 mm; BD MicrolanceTM, USA) into one port and another needle attached to a syringe filled with seawater into the other port. Then 40 mL of synthetic air (Air Liquide, Germany) from a 2.5 L stainless-steel canister was transferred into the glass bottles as headspace. An equilibrium between dissolved and gaseous CH<sub>4</sub> was established after the glass bottle was shaken vigorously for 2 min. The headspace gas was then extracted using a 60 mL plastic syringe (BD Luer-LokTM, USA) and transferred into 12 mL pre-evacuated Exetainers<sup>®</sup> (Labco, UK).</p>
<sec id="Ch1.S2.SS4.SSS1">
  <label>2.4.1</label><title>Measurement of dissolved CH<sub>4</sub> concentration in discrete samples</title>
      <p id="d2e1569">A gas chromatograph (GC 2030, Shimadzu, Japan) equipped with a flame ionization detector (FID) was used to measure the concentration of CH<sub>4</sub> from the seawater headspace samples. Surface water samples were analyzed as single replicates (<inline-formula><mml:math id="M117" display="inline"><mml:mrow><mml:mi>n</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:math></inline-formula>), whereas samples from below the water surface were measured in triplicate (<inline-formula><mml:math id="M118" display="inline"><mml:mrow><mml:mi>n</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:math></inline-formula>). For the measurement, approx. 8 mL of sample gas was taken from each Exetainer<sup>®</sup> and injected into the GC via a 2 mL sample loop. The GC was equipped with a TG-BOND Alumina capillary column with a film thickness of 10 <inline-formula><mml:math id="M119" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi></mml:mrow></mml:math></inline-formula>m, an internal diameter of 0.53 mm, and a length of 50 m (Shimadzu, Japan). To account for instrument drift and to calibrate the sample measurements, multiple calibration gases (with a concentration ranging from 0.3 to 16.1 ppm) were measured each before and after the sample measurements. In addition, the CH<sub>4</sub> concentration of the stainless-steel canister filled with synthetic air, which was used during the headspace extraction, was measured and subtracted from the CH<sub>4</sub> concentration of the samples.</p>
</sec>
<sec id="Ch1.S2.SS4.SSS2">
  <label>2.4.2</label><title>Measurement of the stable carbon and hydrogen isotope values of dissolved CH<sub>4</sub></title>
      <p id="d2e1652">In this study, the stable isotope composition of CH<sub>4</sub> is given in the conventional <inline-formula><mml:math id="M124" display="inline"><mml:mi mathvariant="italic">δ</mml:mi></mml:math></inline-formula>-notation, which represents the relative difference of the <inline-formula><mml:math id="M125" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">13</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi><mml:msup><mml:mo>/</mml:mo><mml:mn mathvariant="normal">12</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M126" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msup><mml:mi mathvariant="normal">H</mml:mi><mml:msup><mml:mo>/</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:msup><mml:mi mathvariant="normal">H</mml:mi></mml:mrow></mml:math></inline-formula> ratios compared to the Vienna-Peedee Belemnite (VPDB) and Vienna-Standard Mean Ocean Water (VSMOW) standards, respectively. For the measurement of <inline-formula><mml:math id="M127" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">13</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>C-CH<sub>4</sub> (precision <inline-formula><mml:math id="M129" display="inline"><mml:mi mathvariant="italic">&lt;</mml:mi></mml:math></inline-formula> 0.3 ‰) and <inline-formula><mml:math id="M130" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>H-CH<sub>4</sub> (precision <inline-formula><mml:math id="M132" display="inline"><mml:mi mathvariant="italic">&lt;</mml:mi></mml:math></inline-formula> 3 ‰) values in the seawater samples a DeltaPlus XL isotope ratio mass spectrometer (Thermo Fisher Scientific, USA) coupled to a HP 6890N GC (Agilent Technologies, USA) and a cryogenic pre-concentration unit was used. For a more detailed description of this method, we refer to Einzmann et al. (2022). <inline-formula><mml:math id="M133" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">13</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>C-CH<sub>4</sub> and <inline-formula><mml:math id="M135" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>H-CH<sub>4</sub> values of dissolved CH<sub>4</sub> in water samples were analyzed as single replicates (<inline-formula><mml:math id="M138" display="inline"><mml:mrow><mml:mi>n</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:math></inline-formula>).</p>
</sec>
</sec>
</sec>
<sec id="Ch1.S3">
  <label>3</label><title>Results</title>
<sec id="Ch1.S3.SS1">
  <label>3.1</label><title>Meteorological conditions before and during the RV <italic>Mya II</italic> transects in July 2023</title>
      <p id="d2e1848">During our campaign (3–7 July 2023), we experienced a rather unusual weather situation for summer. Storm Poly, an extremely strong European storm, hit the United Kingdom, Benelux and Germany between 4 and 6 July 2023. With wind gusts of up to 146 km h<sup>−1</sup>, it was one of the strongest summer storms ever recorded in the Netherlands (EUMETSAT, 2023). In Germany, a first peak was reached around noon (5 July 2023) in the area of East Frisia. In the evening, a second wind maximum developed from the coast of Lower Saxony towards the west coast of Schleswig-Holstein, with values sometimes slightly higher than at noon and in the afternoon (DWD, 2023), with wind gusts of up to 109 km h<sup>−1</sup> measured. At the ICOS stations Westerland and Helgoland, the highest wind speeds of 18 m s<sup>−1</sup> (64 km h<sup>−1</sup>) and 31 m s<sup>−1</sup> (111 km h<sup>−1</sup>) (see Fig. A1), respectively, were recorded in the evening and at noon on 5 July. Figure 2 shows the wind roses recorded at Westerland station during the storm on 5 July 2023 (two days before our measurements) and onboard of RV <italic>Mya II</italic> during the measurements in the North Sea on 7 July 2023. On 5 July, the wind direction changed from southeast to a westerly direction with a clearly higher wind speed of up to 18 m s<sup>−1</sup>.</p>
      <p id="d2e1939">On 6 July, the weather situation gradually calmed down, allowing a cruise with the RV <italic>Mya II</italic> to be carried out on 7 July 2023 from 08:00 to 16:00 local summer time (06:00–14:00 UTC). The mean wind speed was 3.6 m s<sup>−1</sup> from southwesterly direction.</p>

      <fig id="F2"><label>Figure 2</label><caption><p id="d2e1959">Wind data from Westerland station for the day when the storm was strongest (5 July 2023) and for the day of the measurement campaign on board the RV <italic>Mya II</italic> (7 July 2023).</p></caption>
          <graphic xlink:href="https://bg.copernicus.org/articles/23/5095/2026/bg-23-5095-2026-f02.png"/>

        </fig>


</sec>
<sec id="Ch1.S3.SS2">
  <label>3.2</label><title>Atmospheric CH<sub>4</sub> measurements at the ICOS station Westerland</title>
      <p id="d2e1991">Since joining the ICOS atmospheric network, quality control of atmospheric measurements at the Westerland station is not only performed on the hourly averaged calibrated CH<sub>4</sub> and CO<sub>2</sub> values but also on the high-frequency raw data with a temporal resolution of a few seconds. Only through the inspection of these high-resolution data was it possible to identify episodic CH<sub>4</sub> enhancements. Both the raw data and the one-minute averaged CH<sub>4</sub> measurements at Westerland atmospheric station show CH<sub>4</sub> spikes of up to 300 ppb in individual episodes. As these CH<sub>4</sub> spikes occurred repeatedly during the summer of 2022, the data were analyzed in more detail, and possible correlations with other parameters were investigated. Figure 3 shows the minute-averaged CH<sub>4</sub> and CO<sub>2</sub> mole fractions over 4 d in July 2022, one year before the measurement campaign. The CH<sub>4</sub> mole fraction varies between 1950 and 2140 ppb with peaks of up to 160 ppb, while CO<sub>2</sub> varies between 415 and 421 ppm with no short-term peaks. In contrast to air masses transported from the mainland, where CH<sub>4</sub> and CO<sub>2</sub> are always well correlated, the observed spikes in Fig. 3 occur only in CH<sub>4</sub>. The wind came from the marine sector between 240 and 350° (clean air sector) with high wind speeds between 6 and 14 m s<sup>−1</sup>. Clearly visible are the periodic CH<sub>4</sub> peaks, which occur mainly at low tide (shaded in light yellow).</p>
      <p id="d2e2134">A systematic analysis of the high-frequency CH<sub>4</sub> data from 2022 revealed several consistent characteristics. CH<sub>4</sub> spikes occurred predominantly during the summer months, under winds from the marine clean air sector (240–350°), and during low tide. In addition, the CH<sub>4</sub> spikes showed no correlations with CO<sub>2</sub>. Figure A2 presents a histogram of the number of days with CH<sub>4</sub> spikes per month in 2022, indicating that most spikes occurred in June, July, and August, some in May and October, and very few in January and March. However, it is also possible that no CH<sub>4</sub> peaks occurred under the above-mentioned conditions. To investigate the cause of the periodic CH<sub>4</sub> peaks, mobile measurements were carried out near the station and on the beach. As no elevated CH<sub>4</sub> concentrations were found, a very local source of CH<sub>4</sub> near the atmospheric station Westerland or on the beach could be ruled out. Subsequently, wind direction, distance from the station and peak shape were then used to identify dredging activities in the North Sea in the nearby Westerland II dredging area as a possible cause.</p>
      <p id="d2e2219">A comparison with sand dredger activity data showed that in June 2022, when dredging operations paused for two days, the CH<sub>4</sub> peaks continued to follow the usual tidal pattern (see Fig. A3), indicating that the emissions are not exclusively associated with the active extraction process but may also be influenced by the characteristics of the young seafloor depressions created by dredging. However, confirming this hypothesis required ship-based measurements.</p>

      <fig id="F3" specific-use="star"><label>Figure 3</label><caption><p id="d2e2234"><bold>(a)</bold> CH<sub>4</sub> mole fractions of a typical summer period (4 to 8 July 2022). The periods of low tides are shaded in light yellow. <bold>(b)</bold> CO<sub>2</sub> mole fraction during the same 4 d <bold>(c)</bold> corresponding wind speed (black) and wind direction (grey). The clean air sector (240–350°) is marked with two dashed horizontal lines.</p></caption>
          <graphic xlink:href="https://bg.copernicus.org/articles/23/5095/2026/bg-23-5095-2026-f03.png"/>

        </fig>

      <p id="d2e2269">Figure 4 shows the CH<sub>4</sub> and CO<sub>2</sub> mole fractions at Westerland station before and during the measurement campaign in July 2023. On 5 July, an air mass originating from the mainland (easterly wind) reached the station, leading to simultaneous increases in CH<sub>4</sub> and CO<sub>2</sub> mole fractions with values up to 2100 ppb and 445 ppm, respectively. The good correlation between CH<sub>4</sub> and CO<sub>2</sub> in air masses transported from the mainland can be seen. In the evening of 5th July and in the morning of the 6 July, one day before the shipboard measurement on RV <italic>Mya II</italic>, storm Poly hit the German Bight with hourly mean wind speeds of up to 17.5 m s<sup>−1</sup>. In contrast, on 4 July, only one very small CH<sub>4</sub> peak of 15 ppb was detected from the clean air sector. However, this CH<sub>4</sub> spike was relatively small compared to other CH<sub>4</sub> spikes detected in July 2022 (Fig. 3). On the day following the storm, no distinct CH<sub>4</sub> spikes were observed from the clean air sector, as winds were predominantly from the south-southwest (SSW) rather than from the dredging area to the west, and wind speeds remained very low.</p>

      <fig id="F4" specific-use="star"><label>Figure 4</label><caption><p id="d2e2382"><bold>(a)</bold> CH<sub>4</sub> mole fractions at Westerland station during the measurement campaign (4 to 7 July 2023). The periods of low tide are shaded in light yellow. The RV <italic>Mya II</italic> campaign is indicated with a horizontal arrow. <bold>(b)</bold> CO<sub>2</sub> mole fractions at Westerland station during the same summer period. <bold>(c)</bold> Corresponding wind speed (black) and wind direction (grey). The clean air sector (240–350°) is marked with two dashed horizontal lines.</p></caption>
          <graphic xlink:href="https://bg.copernicus.org/articles/23/5095/2026/bg-23-5095-2026-f04.png"/>

        </fig>

</sec>
<sec id="Ch1.S3.SS3">
  <label>3.3</label><title>Atmospheric CH<sub>4</sub> measurements onboard RV <italic>Mya II</italic> in July 2023</title>
      <p id="d2e2441">Figure 5 shows the shipboard transect of RV <italic>Mya II</italic> as a function of the atmospheric CH<sub>4</sub> mole fraction. The dark gray rectangle marks the Westerland II sand extraction area with sectors 1b and 1a (blue), which have been dredged since 2017 and from 2010 to 2017, respectively. During the campaign on 7 July, a mean wind speed of 3.6 m s<sup>−1</sup> from southwesterly direction was measured at the ICOS station Westerland. The two ship symbols indicate the coordinates of the dredging ship during the ship campaign, in the north during beach nourishment, and in the southwest during dredging. The hand-held sampling line was used once during the first transect from dredging area 1b to 1a (the northern direct transect in Fig. 5b) and a second time during the transect above the mud track from the actively dredging hopper dredger (south of the ship in Fig. 5b). An additional figure showing when the different sampling lines were used is included in the Appendix (Fig. A4).</p>
      <p id="d2e2468">The highest atmospheric CH<sub>4</sub> concentrations of up to 2450 ppb were measured directly in the areas where dredging is currently taking place or has taken place in recent years. The lowest CH<sub>4</sub> mole fraction of 1990 ppb was measured north-east of the dredging area. This shows a CH<sub>4</sub> excess of more than 450 ppb above the dredged holes. The highest CH<sub>4</sub> mole fractions were found directly with the hand inlet above a plume of advected suspended sediment from the hopper-dredger (Fig. 5b south of the hopper-dredger).</p>

      <fig id="F5" specific-use="star"><label>Figure 5</label><caption><p id="d2e2510"><bold>(a)</bold> Vessel track of the RV <italic>Mya II</italic> with measured CH<sub>4</sub> mole fractions; the ship symbol marks the position of the hopper-dredger <italic>Thor R</italic>. <bold>(b)</bold> A close up to the designated dredging areas Westerland II, 1a and 1b are depicted in dark gray and blue (right side). The seven sampling locations for atmospheric air isotope analyses are indicated together with their sample numbers (see Sect. 3.6 for further details). The maps were created with the Leaflet package for R (<uri>https://leafletjs.com/</uri>, last access: 24 June 2026) using the OpenStreeMap basemap with tiles from Humanitarian OpenStreetMap Team (© OpenStreetMap contributors, <uri>https://www.openstreetmap.org/copyright</uri> (last access: 24 June 2026), Tiles style by Humanitarian OpenStreetMap Team, <uri>https://www.hotosm.org/en/</uri>, last access: 24 June 2026 hosted by OpenStreetMap France, <uri>https://www.openstreetmap.fr/</uri>, last access: 24 June 2026).</p></caption>
          <graphic xlink:href="https://bg.copernicus.org/articles/23/5095/2026/bg-23-5095-2026-f05.png"/>

        </fig>

      <p id="d2e2553">This suspended sediment was clearly visible from the RV <italic>Mya II</italic> and two transects were conducted along this track. During the first transect, the CH<sub>4</sub> mole fractions were measured with the inlet line attached to the mast. The mean mole fraction there was (2041 <inline-formula><mml:math id="M197" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 4) ppb. The second transect contains mole fractions measured directly above the suspended sediment with the hand-held sampling line. Here, a mean CH<sub>4</sub> mole fraction of (2104 <inline-formula><mml:math id="M199" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 7) ppb was measured. This shows that the spikes in CH<sub>4</sub> mole fractions at the Westerland station are most likely caused by offshore dredging activities.</p>
</sec>
<sec id="Ch1.S3.SS4">
  <label>3.4</label><title>Dissolved CH<sub>4</sub> concentrations in surface seawater</title>
      <p id="d2e2619">Low surface water concentrations of dissolved CH<sub>4</sub> were observed during the transit from the port to the Westerland II area with 5.6 <inline-formula><mml:math id="M203" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 3.7 nmol L<sup>−1</sup>. In the Westerland II area higher concentrations were observed with 59.1 <inline-formula><mml:math id="M205" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 21.3 nmol L<sup>−1</sup> on average and up to 90 nmol L<sup>−1</sup> (Fig. 6). At four stations bottom water was sampled (see Fig. 1). In the bottom water dissolved CH<sub>4</sub> was enriched, especially at locations #1 and #2 with 111 <inline-formula><mml:math id="M209" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 12 nmol L<sup>−1</sup>, while at the control station #4 only 24 <inline-formula><mml:math id="M211" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 4 nmol L<sup>−1</sup> were observed. Due to the strong storm during the previous days, the CTD-profile revealed a completely mixed water column (Fig. A5).</p>

      <fig id="F6" specific-use="star"><label>Figure 6</label><caption><p id="d2e2731">Dissolved CH<sub>4</sub> concentrations in surface seawater with a close up for the Westerland II-area (right side). The dots in the close up indicate the stations from Fig. 1 (Schlitzer, Reiner, Ocean Data View, <uri>https://odv.awi.de</uri> (last access: 11 March 2026).</p></caption>
          <graphic xlink:href="https://bg.copernicus.org/articles/23/5095/2026/bg-23-5095-2026-f06.jpg"/>

        </fig>

      <p id="d2e2752">The diffusive CH<sub>4</sub> flux from the sea into the atmosphere is shown in Fig. 7. As the wind was rather calm on 7 July 2023, the CH<sub>4</sub> fluxes during the transit course were also very low (3.0 <inline-formula><mml:math id="M216" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 3.6 <inline-formula><mml:math id="M217" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi></mml:mrow></mml:math></inline-formula>mol m<sup>−2</sup> d<sup>−1</sup>). In contrast, in the Westerland II dredging area the diffusive flux was with 45.4 <inline-formula><mml:math id="M220" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 47.9 <inline-formula><mml:math id="M221" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi></mml:mrow></mml:math></inline-formula>mol m<sup>−2</sup> d<sup>−1</sup> much higher, but also very patchy. Only a few locations (4 %) had CH<sub>4</sub> fluxes larger than 100 <inline-formula><mml:math id="M225" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi></mml:mrow></mml:math></inline-formula>mol m<sup>−2</sup> d<sup>−1</sup> with maximal values of 340 <inline-formula><mml:math id="M228" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi></mml:mrow></mml:math></inline-formula>mol m<sup>−2</sup> d<sup>−1</sup>. For the whole Westerland II dredging area this results in a diffusive CH<sub>4</sub> flux of 427 mol d<sup>−1</sup>.</p>

      <fig id="F7" specific-use="star"><label>Figure 7</label><caption><p id="d2e2951">Diffusive CH<sub>4</sub> fluxes from surface seawater with a close up for the Westerland II -area (right side). The dots in the close up indicate the stations from Fig. 1 (Schlitzer, Reiner, Ocean Data View, <uri>https://odv.awi.de</uri>, 2024).</p></caption>
          <graphic xlink:href="https://bg.copernicus.org/articles/23/5095/2026/bg-23-5095-2026-f07.jpg"/>

        </fig>

</sec>
<sec id="Ch1.S3.SS5">
  <label>3.5</label><title><inline-formula><mml:math id="M234" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">13</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>C-CH<sub>4</sub> and <inline-formula><mml:math id="M236" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>H-CH<sub>4</sub> values from surface seawater and bottom water</title>
      <p id="d2e3021">In addition to the dissolved CH<sub>4</sub> concentrations, the <inline-formula><mml:math id="M239" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">13</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>C-CH<sub>4</sub> and <inline-formula><mml:math id="M241" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>H-CH<sub>4</sub> values were determined for all samples. Figure 8 shows the <inline-formula><mml:math id="M243" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">13</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>C-CH<sub>4</sub> and <inline-formula><mml:math id="M245" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>H-CH<sub>4</sub> values from surface seawater samples for the North Sea transit area (samples #9–#11) and from the Westerland II area (samples #1–#8). The <inline-formula><mml:math id="M247" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">13</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>C-CH<sub>4</sub> values of samples collected in the North Sea transit area varied between <inline-formula><mml:math id="M249" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>49.4 ‰ and <inline-formula><mml:math id="M250" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>51.3 ‰ with an average of <inline-formula><mml:math id="M251" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>50.2 <inline-formula><mml:math id="M252" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.9 ‰. The surface water samples within the Westerland II area showed more negative <inline-formula><mml:math id="M253" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">13</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>C-CH<sub>4</sub> values between <inline-formula><mml:math id="M255" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>65.6 ‰ and <inline-formula><mml:math id="M256" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>67.6 ‰ with an average of <inline-formula><mml:math id="M257" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>66.9 <inline-formula><mml:math id="M258" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 1.2 ‰. Only sample #5 deviated from the other Westerland II samples with a <inline-formula><mml:math id="M259" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">13</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>C-CH<sub>4</sub> of <inline-formula><mml:math id="M261" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>42.4 ‰.</p>
      <p id="d2e3240">In comparison, <inline-formula><mml:math id="M262" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>H-CH<sub>4</sub> values from the North Sea were <inline-formula><mml:math id="M264" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>242 ‰ and <inline-formula><mml:math id="M265" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>304 ‰ for samples #9 and #10, respectively. In the Westerland II area, <inline-formula><mml:math id="M266" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>H-CH<sub>4</sub> values ranged between <inline-formula><mml:math id="M268" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>199 ‰ and <inline-formula><mml:math id="M269" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>227 ‰ with an average of <inline-formula><mml:math id="M270" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>222 <inline-formula><mml:math id="M271" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 9 ‰. Thus, the <inline-formula><mml:math id="M272" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>H-CH<sub>4</sub> values from Westerland II were more positive compared to the North Sea samples.</p>

      <fig id="F8" specific-use="star"><label>Figure 8</label><caption><p id="d2e3349"><inline-formula><mml:math id="M274" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">13</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>C-CH<sub>4</sub> and <inline-formula><mml:math id="M276" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>H-CH<sub>4</sub> values from surface water layers sampled from spots located within the Westerland II dredging area (samples #1–#8) and outside the Westerland II area in the North Sea off the west coast of Sylt (samples #9–#11). <inline-formula><mml:math id="M278" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">13</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>C-CH<sub>4</sub> and <inline-formula><mml:math id="M280" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>H-CH<sub>4</sub> values of dissolved CH<sub>4</sub> in water samples were analyzed as single replicates (<inline-formula><mml:math id="M283" display="inline"><mml:mrow><mml:mi>n</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:math></inline-formula>).</p></caption>
          <graphic xlink:href="https://bg.copernicus.org/articles/23/5095/2026/bg-23-5095-2026-f08.png"/>

        </fig>

      <p id="d2e3460">At four different locations within the Westerland II area (#1–#4), bottom water was sampled alongside surface water. Figure 9 shows CH<sub>4</sub> concentrations as well as <inline-formula><mml:math id="M285" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">13</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>C-CH<sub>4</sub> and <inline-formula><mml:math id="M287" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>H-CH<sub>4</sub> values from surface and bottom water layers. A change in CH<sub>4</sub> concentrations and stable isotope values with depth was observed in three of the investigated profiles, except for location #3, where CH<sub>4</sub> concentrations and its stable isotope composition were similar in surface and bottom water at a depth of 27 m. At locations #1 and #2 an increase in CH<sub>4</sub> concentrations from 58 nmol L<sup>−1</sup> in the surface water layer to 122 <inline-formula><mml:math id="M293" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 11 nmol L<sup>−1</sup> at 18 m depth as well as 102 <inline-formula><mml:math id="M295" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 5 nmol at 18.7 m (location #1) and to 110 <inline-formula><mml:math id="M296" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula>  9 nmol L<sup>−1</sup> at 24.2 m depth (location #2) was observed. At location #1, <inline-formula><mml:math id="M298" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">13</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>C-CH<sub>4</sub> values slightly shifted towards more negative values with increasing depth from <inline-formula><mml:math id="M300" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>67.3 ‰ to <inline-formula><mml:math id="M301" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>69.4 ‰, while <inline-formula><mml:math id="M302" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>H-CH<sub>4</sub> values slightly became more positive from <inline-formula><mml:math id="M304" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>224 ‰ in the surface water layer to <inline-formula><mml:math id="M305" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>215 ‰ at 18 m depth. In contrast, at location #3 the isotopic values did not show any major changes with increasing depth. A decrease in CH<sub>4</sub> concentration with increasing depth can be observed for location #4 with 51 nmol L<sup>−1</sup> in surface water layers and 24 <inline-formula><mml:math id="M308" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 4 nmol L<sup>−1</sup> at 19.6 m depth. While the <inline-formula><mml:math id="M310" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">13</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>C-CH<sub>4</sub> values showed no measurable changes with increasing depth, the <inline-formula><mml:math id="M312" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>H-CH<sub>4</sub> values shifted towards more positive values from <inline-formula><mml:math id="M314" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>227 ‰ in the surface water layer to <inline-formula><mml:math id="M315" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>195 ‰ at 19.6 m depth.</p>

      <fig id="F9" specific-use="star"><label>Figure 9</label><caption><p id="d2e3765">CH<sub>4</sub> concentrations as well as <inline-formula><mml:math id="M317" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">13</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>C-CH<sub>4</sub> and <inline-formula><mml:math id="M319" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>H-CH<sub>4</sub> values from surface and seafloor water layers sampled from spots located within the Westerland II dredging area. Surface water samples were analyzed as single replicates (<inline-formula><mml:math id="M321" display="inline"><mml:mrow><mml:mi>n</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:math></inline-formula>), whereas samples from below the water surface were measured in triplicate (<inline-formula><mml:math id="M322" display="inline"><mml:mrow><mml:mi>n</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:math></inline-formula>). Error bars show the standard deviation of the triplicate measurements.</p></caption>
          <graphic xlink:href="https://bg.copernicus.org/articles/23/5095/2026/bg-23-5095-2026-f09.png"/>

        </fig>

</sec>
<sec id="Ch1.S3.SS6">
  <label>3.6</label><title>Isotope results from atmospheric CH<sub>4</sub> in air samples</title>
      <p id="d2e3866">To further investigate the specific characteristics and origin of the CH<sub>4</sub> peaks measured in the air above the sand dredging area, seven 3 L sample bags were filled with atmospheric air during the RV <italic>Mya II</italic> cruise. Figure 10 shows the in situ atmospheric CH<sub>4</sub> measurements (black) together with the colored data points of the bag samples. The vertical bars indicate the sampling periods. Bag HD3-52 was sampled during the transect from dredging area 1b to dredging area 1a using the hand-held line. Bags HD3-55 and HD3-54 were filled above the dredging area 1b using the mast-mounted sampling line. During the transect across the mud track generated by the actively dredging hopper dredge, two additional sampling bags were filled. The first sample (HD1-122) was collected using the mast-mounted sampling line. During a second transect, HD1-123 was taken directly over the mud track with the hand-held sampling tube. Bags HD3-56 and HD3-57 were sampled outside the dredging area and therefore represent background samples. The CH<sub>4</sub> mole fraction of the sampled air varied between 1978 and 2085 ppb, and the <inline-formula><mml:math id="M327" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">13</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>C-CH<sub>4</sub> values varied between <inline-formula><mml:math id="M329" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>47.5 ‰ for background samples and <inline-formula><mml:math id="M330" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>48.7 ‰ above the dredging area.</p>
      <p id="d2e3934">The CH<sub>4</sub> and <inline-formula><mml:math id="M332" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">13</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>C-CH<sub>4</sub> measurements for these seven sample bags were used to calculate the isotopic source signature using the Keeling plot method (Hoheisel et al., 2019; Hoheisel and Schmidt, 2024). In Fig. 10 (right panel), the linear regression between <inline-formula><mml:math id="M334" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">13</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>C-CH<sub>4</sub> and <inline-formula><mml:math id="M336" display="inline"><mml:mrow class="chem"><mml:mn mathvariant="normal">1</mml:mn><mml:mo>/</mml:mo><mml:msub><mml:mi mathvariant="normal">CH</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> was calculated using a York fit (York et al., 2004). The isotopic source signature for <inline-formula><mml:math id="M337" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">13</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>C-CH<sub>4</sub> was determined to be <inline-formula><mml:math id="M339" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>66 <inline-formula><mml:math id="M340" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 6 ‰. This fits well with CH<sub>4</sub> samples extracted from the sampled surface seawater above the dredging area with a mean isotopic signature of <inline-formula><mml:math id="M342" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>66.9 <inline-formula><mml:math id="M343" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 1.2 ‰ (see Sect. 3.5) and can be clearly distinguished from North Sea natural gas with a mean isotopic signature of <inline-formula><mml:math id="M344" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>34 ‰ (Lowry et al., 2001).</p>

      <fig id="F10" specific-use="star"><label>Figure 10</label><caption><p id="d2e4069">Atmospheric CH<sub>4</sub> mole fraction and bag samples for <inline-formula><mml:math id="M346" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">13</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>C-CH<sub>4</sub> analysis (left) and Keeling plot of atmospheric bag samples (right). The intercept of <inline-formula><mml:math id="M348" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>66 ‰ corresponds to the isotopic source signature for <inline-formula><mml:math id="M349" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">13</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>C-CH<sub>4</sub>.</p></caption>
          <graphic xlink:href="https://bg.copernicus.org/articles/23/5095/2026/bg-23-5095-2026-f10.png"/>

        </fig>

</sec>
</sec>
<sec id="Ch1.S4">
  <label>4</label><title>Discussion</title>
<sec id="Ch1.S4.SS1">
  <label>4.1</label><title>Atmospheric CH<sub>4</sub></title>
      <p id="d2e4160">Our starting point for the atmospheric and seawater measurements aboard RV <italic>Mya II</italic> are the periodically recurring CH<sub>4</sub> peaks at Westerland atmospheric monitoring station, which were particularly pronounced during the summer months of 2022, one year before our campaign. The occurrence of these peaks during marine clean air conditions (wind from the west) calls for a more precise understanding of the origin of these CH<sub>4</sub> peaks. Investigations in the vicinity of the station with mobile CH<sub>4</sub> measurements have ruled out the possibility of a local natural or anthropogenic CH<sub>4</sub> emitter between the station and the North Sea.</p>
      <p id="d2e4202">In addition, the tidal dependence of the peaks, only occurring at low tide, indicates that the origin of the CH<sub>4</sub> peaks is within the North Sea. The peak shape and strength of the CH<sub>4</sub> peaks also identify a locally concentrated emitter, i.e., a point source rather than a larger area source. The sand dredging activities in the Westerland II area, which take place in the summer months, are exactly in the wind direction that produces these CH<sub>4</sub> peaks in the atmospheric time series of the atmospheric monitoring station Westerland. In July 2023, it was also possible to determine whether the sand dredging activities alone were responsible for the CH<sub>4</sub> peaks or whether the beach nourishment also contributed. Atmospheric and soil chamber CH<sub>4</sub> measurements in the vicinity of the sand nourishment area at the beach in List (Sylt West Coast) did not show a significant CH<sub>4</sub> enhancement and are therefore not the origin of the CH<sub>4</sub> spikes at the Westerland atmospheric station.</p>
      <p id="d2e4269">During the cruise with RV <italic>Mya II</italic> in July 2023, the hopper dredger <italic>Thor R</italic> was extracting sand from the seabed and depositing the sand within its hull. Elevated atmospheric CH<sub>4</sub> concentrations were observed while circling around the vessel. The two highest atmospheric CH<sub>4</sub> concentrations of up to 2450 ppb were measured directly in the Westerland II dredging regions 1b and 1a, where dredging was currently taking place or has taken place in recent years. The highest CH<sub>4</sub> mole fractions were found directly at the hand inlet above a plume of suspended sediment from the hopper-dredger.</p>
      <p id="d2e4306">The atmospheric measurements on board RV <italic>Mya II</italic> already showed that the origin of the measured CH<sub>4</sub> peaks is located in the Westerland II area and originates from the sand dredging activities. In 2023, CH<sub>4</sub> spikes at the atmospheric station Westerland showed only modest enhancement, with up to 50 ppb during westerly winds, significantly lower than in 2022, when enhancements of up to 300 ppb were measured. In addition, storm Poly passed through the area just one day prior to the measurement campaign. Therefore, we did not expect very large CH<sub>4</sub> enhancements over the dredging area during our campaign. On the 4, 6 and 7 July, shortly before and after the storm Poly, only CH<sub>4</sub> spikes with enhancements of 11 ppb or even less than 5 ppb were monitored in the atmospheric air masses from the clean air sector. The effect of a storm on atmospheric and dissolved methane concentrations can be described in two ways. On the one hand, sediment resuspension caused by increased bottom stress from wind and waves could increase the release of methane from sediments. On the other hand, a storm can substantially increase the gas transfer velocity, thereby increasing the diffusive flux of methane out of the water. The overall effect on the atmospheric methane concentration varies depending on water depth and sediment structure. As we only observed minor enhancements, we assume that the effect of sediment resuspension was negligible.</p>
      <p id="d2e4348">Using a simple Gaussian plume model READY (Rolph et al., 2017), the dispersion of different CH<sub>4</sub> fluxes in the Westerland II sand dredging area was used to calculate possible CH<sub>4</sub> peaks at the Westerland monitoring station. With an averaged CH<sub>4</sub> flux of 427 mol d<sup>−1</sup> over the dredging area and the wind speed and direction measured during the campaign on 7 July 2023, only CH<sub>4</sub> peaks of 0.15 ppb would be expected at the atmospheric station Westerland at a distance of 7 km from the dredging area. This is consistent with our atmospheric measurements at the Westerland station, which show no major peaks on the 4, 6 and 7 July 2023. For larger CH<sub>4</sub> peaks with an enhancement of more than 15 ppb, the CH<sub>4</sub> flux in the Westerland sand dredging area would have to be up to 45 000 mol CH<sub>4</sub> d<sup>−1</sup> during low tide. These temporal differences should be analyzed in more detail in a future study.</p>
</sec>
<sec id="Ch1.S4.SS2">
  <label>4.2</label><title>Dredging activities in the North Sea</title>
      <p id="d2e4447">The dredging of marine aggregates is a common practice across Europe and in the North Sea, but the distribution of active extraction sites and concession areas is far from uniform (EMODnet, 2024; Staudt et al., 2021). In the context of the German EEZ (exclusive economic zone) of the North Sea, the investigated site offshore Sylt is fairly unique and presents the only major and currently active site in the area (Schultze and Nehls, 2017). In other countries, such as Denmark or the Netherlands, similar activities do occur and are more widespread but differ in spatial distribution and intensity and require in all cases an assessment of source properties and environmental considerations (e.g., Nørgaard-Pedersen et al., 2022; van Dalfsen et al., 2000).</p>
      <p id="d2e4450">Studies on the influence of dredging on greenhouse gas (GHG) emissions, especially CH<sub>4</sub> are rather ambiguous: dredging activity can reduce GHG emissions, such as in shallow lakes and watercourses (Slamet et al., 2020; Nijman et al., 2022), probably due to the removal of organic material from these systems. However, fine-grained sediments with high organic matter contents are known to be an emitter of GHG (Slamet et al., 2020; Müller et al., 2025). Currently, not much is known about the influence of dredging on GHG emissions from marine or coastal environments.</p>
</sec>
<sec id="Ch1.S4.SS3">
  <label>4.3</label><title>Dissolved CH<sub>4</sub> concentration</title>
      <p id="d2e4480">Another source of the observed atmospheric peaks of CH<sub>4</sub> could be related to processes within the water column. Direct investigation of CH<sub>4</sub> concentrations within the water column revealed elevated bottom water concentrations of up to 111 nmol L<sup>−1</sup>, 2 times higher than surface water CH<sub>4</sub> concentrations. These elevated values were restricted to the locations within the Westerland II area. Higher CH<sub>4</sub> concentrations in bottom water were mirrored by elevated surface water concentrations of 59.1 <inline-formula><mml:math id="M386" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 21.3 nmol L<sup>−1</sup> (versus 5.6 <inline-formula><mml:math id="M388" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 3.7 nmol L<sup>−1</sup> in the transit area). With the same method dissolved CH<sub>4</sub> concentrations have been measured in the area south of our study area. For a better comparison, only marine water samples with a salinity <inline-formula><mml:math id="M391" display="inline"><mml:mi mathvariant="italic">&gt;</mml:mi></mml:math></inline-formula> 30 were used, and the riverine influence was excluded from these studies. Average dissolved CH<sub>4</sub> concentrations ranged from 12 nmol L<sup>−1</sup> in June 2019, 26 <inline-formula><mml:math id="M394" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 33 nmol L<sup>−1</sup> in September 2019 and 42 <inline-formula><mml:math id="M396" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 63 nmol L<sup>1</sup> in September 2020 (Bussmann et al., 2024, 2022). Thus, our CH<sub>4</sub> concentration data from the dredging area Westerland II are within the range of the more southern areas of the North Sea, while our background concentrations were much lower, close to the equilibrium concentration of dissolved CH<sub>4</sub> at atmospheric mixing ratios. This may be due to strong outgassing from the storm of the previous days.</p>
      <p id="d2e4662">In the dredging area, Westerland II, the diffusive flux from the sea into the atmosphere was approximately 15 times higher than in the surrounding area. However, the distribution of the diffusive flux was also very patchy. A general pattern between the diffusive flux and the atmospheric concentration with similarly high values in the dredging area can be found (Fig. A3). Nevertheless, a direct correlation between the diffusive flux and the atmospheric concentration is not possible on the small scale of meters due to different velocities of mixing in the atmosphere and surface water. In addition, after the heavy storm the previous days, the CH<sub>4</sub> inventory in the water column has to be build up again.</p>
</sec>
<sec id="Ch1.S4.SS4">
  <label>4.4</label><title>Origin of dissolved and atmospheric CH<sub>4</sub></title>
      <p id="d2e4691">At the moment it is not clear what the origin of the increased dissolved CH<sub>4</sub> is. It could be released from the sediment by resuspension through the sucking activities of the dredging ship. Another possibility is that the created depressions at the bottom are filled up with fine sediment characterized by a higher organic matter ratio. The degradation of organic material of this sediment could lead to increased methanogenesis in these areas. High CH<sub>4</sub> concentrations in these deposited sediments could then be released into the overlying water, resulting in the observed enrichment of CH<sub>4</sub> in the bottom water. If very high CH<sub>4</sub> concentrations are reached, the oversaturation may trigger ebullition, allowing CH<sub>4</sub> to escape directly into the atmosphere with minimal interaction, such as consumption by methanotrophic bacteria in the water column (DelSontro et al., 2015; McGinnis et al., 2006). Further investigations on the CH<sub>4</sub> distribution within the sediments could clarify this discussion.</p>
      <p id="d2e4749">The isotope values of CH<sub>4</sub> in surface water between the North Sea transit and the Westerland II area differ significantly. <inline-formula><mml:math id="M409" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">13</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>C-CH<sub>4</sub>-values from the Westerland II area were 17 ‰ more depleted in <sup>13</sup>C-CH<sub>4</sub> compared to the North Sea transit, while <inline-formula><mml:math id="M413" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>H-CH<sub>4</sub>-values showed a shift towards more <sup>2</sup>H enriched values of 20 ‰ and 83 ‰, respectively. This difference indicates CH<sub>4</sub> contributions from different CH<sub>4</sub> sources in the two areas. Dual isotope plots according to Whiticar (2020) were used to further constrain possible sources or pathways of CH<sub>4</sub> formation (Fig. 11). In the marine environment, the most common sources of CH<sub>4</sub> are either thermogenic CH<sub>4</sub> formation or microbial methanogenesis by methanogenic archaea (Judd, 2004). The isotopic composition of microbial CH<sub>4</sub> depends on the active methanogenic population forming CH<sub>4</sub> either by hydrogenotrophic, acetoclastic or methylotrophic methanogenesis (Whiticar, 1999; Conrad, 2009). The <inline-formula><mml:math id="M423" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">13</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>C- and <inline-formula><mml:math id="M424" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>H-CH<sub>4</sub>-values of thermogenic CH<sub>4</sub> are generally less negative than those of microbial CH<sub>4</sub> depending on the source (e.g., Whiticar, 1999).</p>

      <fig id="F11" specific-use="star"><label>Figure 11</label><caption><p id="d2e4945">2-dimensional isotope plot of dissolved CH<sub>4</sub> data from the Westerland II and North Sea area. Coloured areas show the classification of CH<sub>4</sub> sources based on its stable isotope composition modified after Whiticar (2020). Dotted arrows indicate different trajectories of ratios of <sup>13</sup>C and <sup>2</sup>H (<inline-formula><mml:math id="M432" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">C</mml:mi><mml:mo>:</mml:mo><mml:mi mathvariant="normal">D</mml:mi></mml:mrow></mml:math></inline-formula>) enrichment during CH<sub>4</sub> oxidation.</p></caption>
          <graphic xlink:href="https://bg.copernicus.org/articles/23/5095/2026/bg-23-5095-2026-f11.png"/>

        </fig>

      <p id="d2e5013">Our data, based on stable isotope composition (Fig. 11), indicates that dissolved CH<sub>4</sub> in the Westerland II area is of microbial origin, likely formed by hydrogenotrophic methanogenesis. Site #5, located at the edge of the area, is an exception with more positive <inline-formula><mml:math id="M435" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">13</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>C-CH<sub>4</sub> values, though <inline-formula><mml:math id="M437" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>H-CH<sub>4</sub> values remain unaffected. In contrast, stable isotope values from the North Sea transit samples do not clearly indicate a specific CH<sub>4</sub> source, possibly due to aerobic CH<sub>4</sub> oxidation and/or a mix of different sources.</p>
      <p id="d2e5084">Mau et al. (2017) observed <inline-formula><mml:math id="M441" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">13</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>C-CH<sub>4</sub> values ranging from <inline-formula><mml:math id="M443" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>60.1 ‰ to <inline-formula><mml:math id="M444" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>23.4 ‰ in seepage along the Svalbard continental margin, attributing the variability to mixing with background CH<sub>4</sub> or aerobic microbial oxidation. In our study, ocean currents likely have little effect due to the small-scale observation area. The <inline-formula><mml:math id="M446" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">13</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>C-CH<sub>4</sub> enrichment in the North Sea may reflect microbial CH<sub>4</sub> consumption, preferentially degrading <sup>12</sup>C-CH<sub>4</sub>. CH<sub>4</sub> oxidation in the North Sea is limited by concentration and nutrients (Hackbusch et al., 2019). Further studies should explore if dredging or benthic methanotroph inoculation (Schmale et al., 2015) could increase CH<sub>4</sub> oxidation rates.</p>
      <p id="d2e5197">The more positive <inline-formula><mml:math id="M453" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">13</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>C-CH<sub>4</sub> values in the North Sea could also be due to another source. Klintzsch et al. (2023) found that phytoplankton, including marine algae and cyanobacteria, produce CH<sub>4</sub> with <inline-formula><mml:math id="M456" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">13</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>C-CH<sub>4</sub> values ranging from <inline-formula><mml:math id="M458" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>50 ‰ to <inline-formula><mml:math id="M459" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>20 ‰, differing from classical methanogenesis by methanogens. However, algal blooms were observed only on the surface in the Westerland II area, excluding phytoplankton as a substantial CH<sub>4</sub> source. Therefore, CH<sub>4</sub> oxidation is the most probable cause for the North Sea sites. The <inline-formula><mml:math id="M462" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>H-CH<sub>4</sub> values generally exhibit greater variability due to kinetic fractionation effects associated with CH<sub>4</sub> production and oxidation. This could explain the large discrepancy between the <inline-formula><mml:math id="M465" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>H-CH<sub>4</sub> values of site #9 and #10 outside the Westerland II area compared to the less negative <inline-formula><mml:math id="M467" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>H-CH<sub>4</sub> values within this area, though a larger sample size should be targeted in future studies for more robust comparisons between the two areas.</p>
      <p id="d2e5352">The surface and bottom water profiles of dissolved CH<sub>4</sub> concentrations and stable isotopes (Fig. 9) provide key insights into the origin of increased CH<sub>4</sub> concentrations in the Westerland II area. At location #4, CH<sub>4</sub> concentrations decreased with depth while <inline-formula><mml:math id="M472" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">13</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>C-CH<sub>4</sub> and <inline-formula><mml:math id="M474" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>H-CH<sub>4</sub> values changed towards more positive values. This pattern may reflect several processes. While CH<sub>4</sub> oxidation could contribute to the isotopic enrichment of the residual CH<sub>4</sub> pool, mixing or exchange with water masses influenced by different CH<sub>4</sub> sources and thus characterized by different isotopic values of CH<sub>4</sub> or a higher degree of prior CH<sub>4</sub> oxidation may equally explain the observed concentration and isotopic gradients. At locations #1 and #2, CH<sub>4</sub> concentrations nearly doubled at the bottom, but stable isotopes remained unchanged, indicating methanogenic CH<sub>4</sub>, likely from dredging or diffusion at the sediment-water interface. A similar pattern was observed at location #3, though recent dredging and the storm Poly may have evenly distributed the CH<sub>4</sub> throughout the water column.</p>
</sec>
</sec>
<sec id="Ch1.S5" sec-type="conclusions">
  <label>5</label><title>Conclusion</title>
      <p id="d2e5506">This study investigates the role of sand dredging activities and associated changes to the seafloor environment in the North Sea in the North Sea for the local production of CH<sub>4</sub>. During summer 2022, an unusually high number of large CH<sub>4</sub> spikes were observed at the atmospheric station Westerland (Sylt) under westerly wind conditions, whereas in 2023, only a few smaller CH<sub>4</sub> spikes were detected. In the course of the ship campaign only very low CH<sub>4</sub> spikes (1–5 ppb) or none at all, were measured on land at the atmospheric station Westerland, despite prevailing westerly wind. This suggests that the observed atmospheric CH<sub>4</sub> enhancements in the dredging area of up to 450 ppb CH<sub>4</sub> correspond to rather low values. Such atmospheric measurements in combination with an atmospheric transport model can be used to assess the year-to-year variation of CH<sub>4</sub> emissions from the dredging area.</p>
      <p id="d2e5573">The calculated CH<sub>4</sub> flux for the region is 45.4 <inline-formula><mml:math id="M492" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 47.9 <inline-formula><mml:math id="M493" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi></mml:mrow></mml:math></inline-formula>mol m<sup>−2</sup> d<sup>−1</sup>, with a maximum of 340 <inline-formula><mml:math id="M496" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi></mml:mrow></mml:math></inline-formula>mol m<sup>−2</sup> d<sup>−1</sup>, totaling approximately 427 mol d<sup>−1</sup> for the entire area. While this flux corresponds with the smaller peaks measured at the Westerland atmospheric station, it cannot explain the significantly larger peaks observed in summer 2022. Additionally, a severe storm prior to our cruise likely led to considerable degassing throughout the area, reinforcing the idea that dredging serves as a concentrated point source of dissolved CH<sub>4</sub>.</p>
      <p id="d2e5678">Isotope analyses of CH<sub>4</sub> dissolved in surface water and from atmospheric sampling indicate that the elevated CH<sub>4</sub> levels in the Westerland dredging area have a microbial origin. Therefore, we exclude the possibility of a thermogenic CH<sub>4</sub> source from natural gas extraction.</p>
      <p id="d2e5708">Based on our observations, there is a clear spatial correlation and conceptual connection between the measured local increase in CH<sub>4</sub> and the dredging activities, but further investigation will be necessary to precisely identify the acting processes of methanogenesis and the pathways of methane release from the sediment. To fully assess the temporal dynamics and potential magnitude of CH<sub>4</sub> emissions from dredging areas, continued monitoring is essential. Planned follow-up will provide valuable insight into the relationship between dredging, environmental conditions, and CH<sub>4</sub> release. Due to the frequency of dredging operations and their potential impact on regional GHG budgets, more investigations are necessary to improve our understanding on the importance and magnitude of anthropogenic CH<sub>4</sub> sources in coastal environments.</p>
</sec>

      
      </body>
    <back><app-group>

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

      <fig id="FA1"><label>Figure A1</label><caption><p id="d2e5760">Wind data from Helgoland station for the 5, 6 and 7 July 2023.</p></caption>
        
        <graphic xlink:href="https://bg.copernicus.org/articles/23/5095/2026/bg-23-5095-2026-f12.png"/>

      </fig>

      <fig id="FA2"><label>Figure A2</label><caption><p id="d2e5773">Histogram of number of days with CH<sub>4</sub> spikes at Westerland station per month in 2022.</p></caption>
        
        <graphic xlink:href="https://bg.copernicus.org/articles/23/5095/2026/bg-23-5095-2026-f13.png"/>

      </fig>

      <fig id="FA3"><label>Figure A3</label><caption><p id="d2e5796">CH<sub>4</sub> mole fractions of a typical summer period (10th to 17 June 2022). Between 13 and 15 June the when dredging operations paused for two days (blue), the CH<sub>4</sub> peaks continued to follow the usual tidal pattern.</p></caption>
        
        <graphic xlink:href="https://bg.copernicus.org/articles/23/5095/2026/bg-23-5095-2026-f14.png"/>

      </fig>

<fig id="FA4"><label>Figure A4</label><caption><p id="d2e5828">Time series of atmospheric measurements onboard of <italic>Mya II</italic>. The blue line indicates the sampling height on the top of the mast and the red line measurements with the hand-held close to the sea level.</p></caption>
        
        <graphic xlink:href="https://bg.copernicus.org/articles/23/5095/2026/bg-23-5095-2026-f15.png"/>

      </fig>

      <fig id="FA5"><label>Figure A5</label><caption><p id="d2e5844">CTD profile showing the temperature and the salinity during the RV <italic>Mya II</italic> campaign.</p></caption>
        
        <graphic xlink:href="https://bg.copernicus.org/articles/23/5095/2026/bg-23-5095-2026-f16.png"/>

      </fig>

      <fig id="FA6"><label>Figure A6</label><caption><p id="d2e5860">Comparison of diffusive CH<sub>4</sub> flux and the atmospheric CH<sub>4</sub> concentration during RV <italic>Mya II</italic> campaign (Schlitzer, Reiner, Ocean Data View, <uri>https://odv.awi.de</uri>, 2024).</p></caption>
        
        <graphic xlink:href="https://bg.copernicus.org/articles/23/5095/2026/bg-23-5095-2026-f17.jpg"/>

      </fig>


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

      <p id="d2e5901">Atmospheric CH<sub>4</sub> data from the Westerland monitoring station are available through the ICOS Carbon Portal Database (Couret and Schmidt, 2026): <uri>https://hdl.handle.net/11676/FfF9lAK8yXSH1Bqa7r2Acpbu</uri>.</p>

      <p id="d2e5916">Atmospheric CH<sub>4</sub> measurements collected during the MYA II campaign (7 July 2023), bag-sample measurements for atmospheric <inline-formula><mml:math id="M515" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">13</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>C-CH<sub>4</sub> analysis, and the data underlying Figs. 8, 9, and 11 are available via HeiDATA (Schmidt et al., 2026): <ext-link xlink:href="https://doi.org/10.11588/DATA/SEQZGB" ext-link-type="DOI">10.11588/DATA/SEQZGB</ext-link>.</p>

      <p id="d2e5951">Measurements of dissolved CH<sub>4</sub> in the water column collected during the MYA II campaign (7 July 2023) are available through PANGAEA (Bussmann, 2026): <ext-link xlink:href="https://doi.org/10.1594/PANGAEA.995741" ext-link-type="DOI">10.1594/PANGAEA.995741</ext-link>.</p>
  </notes><notes notes-type="authorcontribution"><title>Author contributions</title>

      <p id="d2e5969">MaS, IB, LS and FK designed the study, and planned the cruises. IB carried out the in-situ measurements of dissolved CH<sub>4</sub> in the water column and the corresponding data analysis and interpretation. MoS and AP collected the samples in the field. AP conducted the laboratory analyses and, together with FK, DP, and MoS, analyzed the data. SJER and JBW carried out the atmospheric CH<sub>4</sub> measurements onboard RV <italic>Mya II</italic>. CC is responsible for the atmospheric CH<sub>4</sub> measurements at Westerland station. SJER performed the data analysis of Westerland station data. MaS prepared the manuscript with contributions from all co-authors.</p>
  </notes><notes notes-type="competinginterests"><title>Competing interests</title>

      <p id="d2e6005">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="d2e6011">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="d2e6017">We would like to thank to the crew of RV <italic>Mya II</italic> for their assistance during the cruise as well as Norbert Frank and Till Gonser (IUP Heidelberg University) for helping on-board.</p></ack><notes notes-type="financialsupport"><title>Financial support</title>

      <p id="d2e6025">The measuring campaigns at Westerland station, and their analysis were funded by the Project 167847 with the German Environment Agency (UBA).</p>
  </notes><notes notes-type="reviewstatement"><title>Review statement</title>

      <p id="d2e6031">This paper was edited by Mark Lever and reviewed by two anonymous referees.</p>
  </notes><ref-list>
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