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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-23-2747-2026</article-id><title-group><article-title>Technical note: Development of an extraction protocol and colorimetric analysis for alginate in marine sediment</article-title><alt-title>Extraction protocol and colorimetric analysis for alginate in marine sediment</alt-title>
      </title-group>
      <contrib-group>
        <contrib contrib-type="author" corresp="yes" rid="aff1">
          <name><surname>Nakazato</surname><given-names>Sota</given-names></name>
          <email>nakazato.sota44@gmail.com</email>
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff1">
          <name><surname>Kawahara</surname><given-names>Takashi</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff1">
          <name><surname>Ichii</surname><given-names>Reiji</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff1">
          <name><surname>Akita</surname><given-names>Shingo</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff1">
          <name><surname>Inoue</surname><given-names>Akira</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff1">
          <name><surname>Fujita</surname><given-names>Masaki</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff1">
          <name><surname>Kurihara</surname><given-names>Hideyuki</given-names></name>
          
        <ext-link>https://orcid.org/0000-0002-1013-6089</ext-link></contrib>
        <contrib contrib-type="author" corresp="no" rid="aff1">
          <name><surname>Nakaya</surname><given-names>Mitsuhiro</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff1">
          <name><surname>Ooki</surname><given-names>Atsushi</given-names></name>
          
        <ext-link>https://orcid.org/0000-0001-5459-106X</ext-link></contrib>
        <aff id="aff1"><label>1</label><institution>Hokkaido University, Faculty of the Graduate School of Fisheries Sciences, 3-1-1 Minato Cho, Hakodate, Hokkaido 0418611, Japan</institution>
        </aff>
      </contrib-group>
      <author-notes><corresp id="corr1">Sota Nakazato (nakazato.sota44@gmail.com)</corresp></author-notes><pub-date><day>21</day><month>April</month><year>2026</year></pub-date>
      
      <volume>23</volume>
      <issue>8</issue>
      <fpage>2747</fpage><lpage>2759</lpage>
      <history>
        <date date-type="received"><day>18</day><month>September</month><year>2025</year></date>
           <date date-type="rev-request"><day>1</day><month>October</month><year>2025</year></date>
           <date date-type="rev-recd"><day>8</day><month>April</month><year>2026</year></date>
           <date date-type="accepted"><day>8</day><month>April</month><year>2026</year></date>
      </history>
      <permissions>
        <copyright-statement>Copyright: © 2026 Sota Nakazato 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/23/2747/2026/bg-23-2747-2026.html">This article is available from https://bg.copernicus.org/articles/23/2747/2026/bg-23-2747-2026.html</self-uri><self-uri xlink:href="https://bg.copernicus.org/articles/23/2747/2026/bg-23-2747-2026.pdf">The full text article is available as a PDF file from https://bg.copernicus.org/articles/23/2747/2026/bg-23-2747-2026.pdf</self-uri>
      <abstract><title>Abstract</title>

      <p id="d2e153">In this study, we developed a novel extraction method for alginate, a major organic component derived from brown algae, in marine sediments and evaluated its applicability for quantitative analysis. Alginate analytical methods have been established in food chemistry: we modified these techniques to apply them to marine sediments, which are characterized by the cation composition (e.g., Ca, Mg, Fe) and humic substance-like high-molecular-weight organic compounds. By modifying the protocol through the addition of EDTA-2Na and the omission of ethanol precipitation, we improved the extraction efficiency of alginate from marine sediments, as demonstrated by spike recovery tests where recoveries of Na<sup>+</sup>-Alg significantly increased from 38.7 % with the conventional method to 64.7 %–82.6 %. Enzymatic degradation tests using alginate lyase confirmed that a portion of the extracted uronic acids from marine sediments (at least 34 %) was derived from alginate, verifying its presence in the natural samples. Using this modified method, alginate contents in sediment samples from coastal waters around Hokkaido, Japan, were quantified as 6.11–26.0 mg m<sup>−2</sup> in Funka Bay, 39.0–41.3 mg m<sup>−2</sup> in Hakodate Bay, 11.8–14.7 mg m<sup>−2</sup> off Cape Esan, and 58.3–74.1 mg m<sup>−2</sup> off Muroran. However, these values may be overestimated due to the presence of other uronic acids; therefore, they should be interpreted with caution rather than being directly equated with absolute alginate content.</p>
  </abstract>
    </article-meta>
  </front>
<body>
      

      
<sec id="Ch1.S1" sec-type="intro">
  <label>1</label><title>Introduction</title>
      <p id="d2e224">The role of marine plants in promoting carbon sequestration in the ocean interior, and hence their role in mitigating global warming, has attracted increasing attention. The carbon sequestration potential of marine plants, particularly seaweeds, mangroves, and salt marshes, is collectively referred to as “blue carbon” (Nellemann et al., 2009). Recently, the contribution of macroalgae to blue carbon has gained attention as an effective approach to reducing atmospheric CO<sub>2</sub> levels (Hill et al., 2015). Recent studies using environmental DNA, collection of macroalgal debris with trawls, and stable carbon isotope analyses have provided evidence for the transport of organic matter derived from macroalgae to the deep ocean (Miyajima et al., 2022; Wei et al., 2012; Fischer and Wiencke, 1992). Among the three major groups of macroalgae – brown, red, and green – brown algae account for approximately half of the total macroalgal biomass and are the dominant group, particularly in temperate and subpolar coastal oceans (Cai et al., 2021; Steneck et al., 2002). Brown algae contain a polysaccharide, alginate, which is composed of uronic acids and accounts for 20 %–30 % of their dry weight (Usov et al., 2001). In this study, we focused on alginate as a major organic component derived from brown algae.</p>
      <p id="d2e236">Uronic acids are monosaccharides characterized by a terminal carboxyl group (–COOH); four primary types with distinct stereochemical configurations – glucuronic, galacturonic, mannuronic, and guluronic acids – are commonly reported in the marine environment (Bergamaschi et al., 1999), where they form various polysaccharides through glycosidic linkages. Alginate is a linear polysaccharide composed of two epimeric uronic acid residues, <inline-formula><mml:math id="M7" display="inline"><mml:mi mathvariant="italic">β</mml:mi></mml:math></inline-formula>-D-mannuronic acid [M] and <inline-formula><mml:math id="M8" display="inline"><mml:mi mathvariant="italic">α</mml:mi></mml:math></inline-formula>-L-guluronic acid [G], which form various block structures (MM, GG, and MG blocks) (Yang et al., 2011). Although also produced by certain bacteria, alginate is primarily derived from the cell walls and intercellular matrix of brown algae (Szekalska et al., 2016), which is considered to be predominant source in the marine environment from a biomass perspective. Another major uronic-acid-containing polysaccharide is pectin, primarily composed of polymerized galacturonic acid (Gerschenson, 2017). Pectin is produced by a wide range of terrestrial and marine plants, including several types of phytoplankton that contribute significantly to marine primary production (Domozych et al., 2007). Both alginate and pectin form gels through ionic interactions between their carboxy groups and polyvalent cations (Ca<sup>2+</sup>, Cu<sup>2+</sup>, and Fe<sup>3+</sup>), whereas monovalent cations such as Na<sup>+</sup> and K<sup>+</sup> promote solubilization. In particular, alginate forms significantly more rigid and mechanically stable gels through the “egg-box” model compared to the weaker structures formed by pectin (Grant et al., 1973; Fang et al., 2008).</p>
      <p id="d2e308">In brown algae cells, alginate primarily exists as various alginate salts (e.g., Ca<sup>2+</sup>, Na<sup>+</sup>, Mg<sup>2+</sup>, and K<sup>+</sup>), with these cations derived from seawater (Usov and Zelinsky, 2013). While brown algae are considered a significant source of organic carbon, direct evidence of their contribution to carbon transport into the deep ocean remains limited. Although analytical methods for alginate have been established for food samples (Kawasaki et al., 1998), their application to marine sediments can be hampered by the complex matrix, including the cation composition, the trace levels of alginate present, and the coexistence of other polyuronic acids like pectin. Particularly in the pore water of ocean sediments, high concentrations of iron ions interact with alginate to form stable, insoluble iron (III) alginate (Fe<sup>3+</sup>-Alg) gel, which can significantly inhibit extraction efficiency (Klinkhammer, 1980; Menakbi et al., 2016). In this study, our aim was to develop a novel method for quantifying alginate in marine sediment, based on conventional food analysis techniques, and to apply this method to samples collected from the continental shelf to the shelf slope.</p>
</sec>
<sec id="Ch1.S2">
  <label>2</label><title>Materials and methods</title>
<sec id="Ch1.S2.SS1">
  <label>2.1</label><title>Sediment sample collection</title>
      <p id="d2e380">Ocean sediment was collected in December 2023 and March, August, October, and December 2024 from the seafloor of Funka Bay, Hokkaido, Japan (Fig. 1). Funka Bay is a semi-enclosed bay with a maximum depth of 96 m, and brown algae inhabit the shore of the bay. In the bay, subarctic water dominates from early spring (March) to middle summer (August), and subtropical water enters in autumn (September–November) (Ohtani and Kido, 1980). Sediment samples were collected using a grab sampler with a mouth area of 900 cm<sup>2</sup> (30 cm <inline-formula><mml:math id="M20" display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula> 30 cm). The surface layer (0–1 cm depth) of the soft mud sediment was collected in a plastic bag and stored in a freezer (<inline-formula><mml:math id="M21" display="inline"><mml:mo lspace="0mm">-</mml:mo></mml:math></inline-formula>20 °C). Additional ocean sediment samples were collected in June 2024 from Hakodate Bay (30 m depth; soft mud sediment) and from the continental shelf slope in the coastal Pacific off Hokkaido (off Cape Esan; 300 m depth; sandy mud sediment), and in February 2025 from off the coast of Muroran (off Muroran; 20 m depth; soft mud sediment), using the same procedure, equipment, and storage conditions as those used for Funka Bay ones.</p>

      <fig id="F1" specific-use="star"><label>Figure 1</label><caption><p id="d2e408">Sampling sites in Funka Bay, Hakodate Bay, off Cape Esan, and off Muroran. <bold>(a)</bold> Geography of Japan's islands; <bold>(b)</bold> sampling sites around Hokkaido.</p></caption>
          <graphic xlink:href="https://bg.copernicus.org/articles/23/2747/2026/bg-23-2747-2026-f01.png"/>

        </fig>

</sec>
<sec id="Ch1.S2.SS2">
  <label>2.2</label><title>Colorimetric analysis of alginate by the <inline-formula><mml:math id="M22" display="inline"><mml:mi>m</mml:mi></mml:math></inline-formula>-hydroxydiphenyl method</title>
      <p id="d2e439">Estimation of alginate content is commonly conducted using colorimetric methods that quantify uronic acids because of their simplicity and ease of application. These methods typically rely on the formation of colored complexes between uronic acids and specific reagents, such as carbazole and <inline-formula><mml:math id="M23" display="inline"><mml:mi>m</mml:mi></mml:math></inline-formula>-hydroxydiphenyl (Kumar and Kumar, 2017). We measured alginate in the extracted sample with a colorimetric method, the <inline-formula><mml:math id="M24" display="inline"><mml:mi>m</mml:mi></mml:math></inline-formula>-hydroxydiphenyl method, following the procedure of Hung and Santschi (2001). Hung and Santschi (2001) used sulfamate to reduce the interference of browning neutral carbohydrates; however, it has been reported that addition of sulfamate can suppress the color development of uronic acids (Filisetti-Cozzi and Carpita, 1991). Given the potential reduction in color development when measuring trace amounts of alginate in marine sediments, in this study, the sulfamate addition was omitted from the original protocol of Hung and Santschi (2001) to improve sensitivity. Two reagents were used in the colorimetric analysis of alginate.</p>
      <p id="d2e456">Reagent A: a 75 mmol L<sup>−1</sup> sodium tetraborate decahydrate (Wako, Osaka, Japan, purity <inline-formula><mml:math id="M26" display="inline"><mml:mo>≥</mml:mo></mml:math></inline-formula> 99 %) was prepared in concentrated sulfuric acid (H<sub>2</sub>SO<sub>4</sub>, Wako, purity <inline-formula><mml:math id="M29" display="inline"><mml:mo>≥</mml:mo></mml:math></inline-formula> 95 %).</p>
      <p id="d2e503">Reagent B: 1.5 g L<sup>−1</sup> 3-phenylphenol (Sigma-Aldrich, St. Louis, USA, purity 85 %) was prepared in 5.0 g L<sup>−1</sup> sodium hydroxide (NaOH, Wako, purity <inline-formula><mml:math id="M32" display="inline"><mml:mo>≥</mml:mo></mml:math></inline-formula> 97 %) solutions. The reagent B container was covered with aluminum foil and stored in a refrigerator.</p>
      <p id="d2e538">A 0.80 mL aliquot of sample solution was pipetted into a centrifuge tube, then 4.8 mL of reagent A was added to the tube. The sample was manually mixed in an ice-water bath for 1 min to cool it to room temperature (25 °C). Subsequently, the tube was heated at 100 °C for 10 min in a boiling water bath (7.0 L) and was then immediately cooled in the ice-water bath. After cooling to room temperature, 60 <inline-formula><mml:math id="M33" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi></mml:mrow></mml:math></inline-formula>L of reagent B was added to the tube and mixed gently. After 5 min, the absorbance was measured at 525 nm with a 1 cm cell using a spectrophotometer (U-2900, HITACHI, Tokyo, Japan). This colorimetric assay was performed simultaneously on six samples within a single measurement run.</p>
      <p id="d2e549">Standard solutions (0, 10, 20, 40, 60, and 100 <inline-formula><mml:math id="M34" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi></mml:mrow></mml:math></inline-formula>g mL<sup>−1</sup>) were freshly prepared for each analysis using a sodium alginate reagent (Na<sup>+</sup>-Alg, 500–600 cP, Wako, 1st grade) and Milli-Q water. A calibration curve for Na<sup>+</sup>-Alg (0–100 <inline-formula><mml:math id="M38" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi></mml:mrow></mml:math></inline-formula>g mL<sup>−1</sup>) is shown in Fig. 2a. The regression equation we obtained was “<inline-formula><mml:math id="M40" display="inline"><mml:mrow><mml:mi>y</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">0.0054</mml:mn><mml:mi>x</mml:mi><mml:mo>-</mml:mo><mml:mn mathvariant="normal">0.0108</mml:mn></mml:mrow></mml:math></inline-formula>”. Several blank samples (Milli-Q water added with Reagents A and B) were also measured (<inline-formula><mml:math id="M41" display="inline"><mml:mrow><mml:mi>n</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">5</mml:mn></mml:mrow></mml:math></inline-formula>). We determined the lower limit of quantification as a sample absorbance equal to 10 times the standard deviation of the blank sample (SD <inline-formula><mml:math id="M42" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> 0.00040, <inline-formula><mml:math id="M43" display="inline"><mml:mrow><mml:mi>n</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">5</mml:mn></mml:mrow></mml:math></inline-formula>), which corresponds to 0.0040 abs (<inline-formula><mml:math id="M44" display="inline"><mml:mo lspace="0mm">=</mml:mo></mml:math></inline-formula> 10-fold SD) and 0.74 <inline-formula><mml:math id="M45" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi></mml:mrow></mml:math></inline-formula>g mL<sup>−1</sup>. To confirm the quantitative accuracy near the lower limit, a calibration curve for low concentrations of alginate (0, 1.0, 2.0, 4.0, 6.0, and 10 <inline-formula><mml:math id="M47" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi></mml:mrow></mml:math></inline-formula>g mL<sup>−1</sup>) was prepared (Fig. 2b). The regression equation for low concentrations was “<inline-formula><mml:math id="M49" display="inline"><mml:mrow><mml:mi>y</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">0.0047</mml:mn><mml:mi>x</mml:mi><mml:mo>+</mml:mo><mml:mn mathvariant="normal">0.0025</mml:mn></mml:mrow></mml:math></inline-formula>”. The slopes of the calibration curve differed depending on the concentration range; thus, we used separate regression equations for the low (0–10 <inline-formula><mml:math id="M50" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi></mml:mrow></mml:math></inline-formula>g mL<sup>−1</sup>) and high (10–100 <inline-formula><mml:math id="M52" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi></mml:mrow></mml:math></inline-formula>g mL<sup>−1</sup>) concentration ranges.</p>

      <fig id="F2" specific-use="star"><label>Figure 2</label><caption><p id="d2e769">Calibration curves of Na<sup>+</sup>-Alg measurement by the colorimetric method. <bold>(a)</bold> High concentrations (10–100 <inline-formula><mml:math id="M55" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi></mml:mrow></mml:math></inline-formula>g mL<sup>−1</sup>, <inline-formula><mml:math id="M57" display="inline"><mml:mrow><mml:mi>n</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">5</mml:mn></mml:mrow></mml:math></inline-formula>); <bold>(b)</bold> low concentrations (0–10 <inline-formula><mml:math id="M58" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi></mml:mrow></mml:math></inline-formula>g mL<sup>−1</sup>, <inline-formula><mml:math id="M60" display="inline"><mml:mrow><mml:mi>n</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">4</mml:mn></mml:mrow></mml:math></inline-formula>). Error bars indicate one standard deviation.</p></caption>
          <graphic xlink:href="https://bg.copernicus.org/articles/23/2747/2026/bg-23-2747-2026-f02.png"/>

        </fig>

</sec>
<sec id="Ch1.S2.SS3">
  <label>2.3</label><title>Alginate extraction by a conventional food chemistry protocol</title>
      <p id="d2e866">We prepared three sediment samples, each with a wet weight of 300 g, from muddy sediment rich in organic material collected from Funka Bay (Fig. 1) in December 2023. The weight of 300 g corresponds approximately to the amount of sediment material obtained from the upper 0–1 cm layer using a grab sampler. The test samples (<inline-formula><mml:math id="M61" 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>) were treated by the conventional alginate extraction method used in food chemistry (Kawasaki et al., 1998; Udagawa et al., 2013), as follows (Steps 1–7).</p>
<sec id="Ch1.S2.SS3.SSSx1" specific-use="unnumbered">
  <title>Preparation of test sediment samples</title>
      <p id="d2e886">To prepare test samples, 500 mL of Milli-Q water and 20 mL of a 10 g L<sup>−1</sup> sodium alginate (Na<sup>+</sup>-Alg) solution containing 200 mg of Na<sup>+</sup>-Alg were added to 300 g of each sediment sample (<inline-formula><mml:math id="M65" 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>) in a beaker, followed by stirring for 5 min. These samples were labeled “sediment <inline-formula><mml:math id="M66" display="inline"><mml:mo>+</mml:mo></mml:math></inline-formula> Na<sup>+</sup>-Alg 200 mg”. The resulting suspensions were stored overnight (12 h) at 4 °C to allow the added Na<sup>+</sup>-Alg to transform into naturally occurring alginate forms, such as magnesium alginate (Mg<sup>2+</sup>-Alg), Ca<sup>2+</sup>-Alg, and Fe<sup>3+</sup>-Alg gel. Although previous studies have not clearly identified the chemical forms of alginate in marine sediments, we hypothesized that ion exchange would occur between Na<sup>+</sup>-Alg and Mg<sup>2+</sup>, Ca<sup>2+</sup> or Fe<sup>3+</sup> ions, all of which are abundant in seawater and the pore water of ocean sediments (Masuzawa and Kitano, 1983; Klinkhammer, 1980). The rationale for the selective interaction of Fe<sup>3+</sup> – but not Fe<sup>2+</sup> – with alginate to form a gel is discussed in Sect. 3.2.1. After this treatment, alginate in the samples was presumed to exist as a mixture of gelled forms (Ca<sup>2+</sup>-Alg and Fe<sup>3+</sup>-Alg) and soluble salts (Na<sup>+</sup>-Alg and Mg<sup>2+</sup>-Alg).</p>
</sec>
<sec id="Ch1.S2.SS3.SSSx2" specific-use="unnumbered">
  <title>Step 1 Enzymatic treatment to remove cellulose, lipids, proteins, and pectin</title>
      <p id="d2e1115">To remove impurities such as soluble sugars, proteins, and pectin from the sediment sample, enzymatic treatment was employed. A total of 0.80 g of each of the following four enzymes was sequentially added to the sediment suspension: amylase (KOKULASE™, Mitsubishi Chemical, Tokyo, Japan); cellulase (SCLASE™C, Mitsubishi Chemical); protease (KOKULASE™P Granule, Mitsubishi Chemical); and pectinase (SCLASE™N, Mitsubishi Chemical). Each enzymatic reaction was performed for 30 min under optimized conditions according to the manufacturer's specifications: amylase at 27 °C and pH 6.0; cellulase at 50 °C and pH 6.0; protease at 50 °C and pH 5.5; and pectinase at 38 °C and pH 4.2. A hot stirrer was used to maintain the reaction temperature during stirring. The pH of each reaction suspension was adjusted as necessary by adding 1.0 mol L<sup>−1</sup> hydrochloric acid (HCl) and 3.0 mol L<sup>−1</sup> NaOH solution. Following this enzymatic treatment, alginate in the suspension sample was presumed to exist as a mixture of gelled forms (Ca<sup>2+</sup>-Alg and Fe<sup>3+</sup>-Alg) and soluble salts (Na<sup>+</sup>-Alg and Mg<sup>2+</sup>-Alg). Pectin in the sample was presumed to have been enzymatically degraded into monosaccharides, primarily galacturonic acid.</p>
</sec>
<sec id="Ch1.S2.SS3.SSSx3" specific-use="unnumbered">
  <title>Step 2 Gelation of Na<sup>+</sup>-Alg and acidification to remove non-targeted compounds</title>
      <p id="d2e1204">To convert soluble alginate (Na<sup>+</sup>-Alg and Mg<sup>2+</sup>-Alg) into Ca<sup>2+</sup>-Alg gel in the sediment suspension, 100 mL of 100 g L<sup>−1</sup> calcium chloride (CaCl<sub>2</sub>, Wako, purity <inline-formula><mml:math id="M94" display="inline"><mml:mo>≥</mml:mo></mml:math></inline-formula> 95 %) solution was added to the sample and stirred for 5 min. Subsequently, approximately 15 mL of 5.0 mol L<sup>−1</sup> HCl was added to adjust the pH to 1.0, and the suspension was kept overnight at room temperature (25 °C). After the reaction, the resulting approximately 900 mL suspension was divided into eight 45 mL centrifuge tubes and centrifuged (3500 rpm, 10 min, 2380 <inline-formula><mml:math id="M96" display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula> <inline-formula><mml:math id="M97" display="inline"><mml:mi>g</mml:mi></mml:math></inline-formula>). The supernatant from each tube was carefully removed, and 40 mL of 0.10 mol L<sup>−1</sup> HCl was added to each tube. The tubes were manually shaken to ensure thorough mixing, followed by centrifugation to remove the acidified supernatant. This acid treatment and the subsequent removal of the supernatant served to eliminate polyvalent cations (e.g., Ca<sup>2+</sup> and Mg<sup>2+</sup>), acid-soluble phenolic compounds, and easily degradable polysaccharides such as fucoidans from the sediment sample (Bertagnolli et al., 2014). During this process, a portion of the Ca<sup>2+</sup>-Alg was presumed to have undergone ion exchange with H<sup>+</sup>, forming insoluble H<sup>+</sup>-Alg (McHugh et al., 2001). Following this step, alginate in the sediment sample was presumed to exist as a mixture of gelled forms (Ca<sup>2+</sup>-Alg and Fe<sup>3+</sup>-Alg) and protonated alginate (H<sup>+</sup>-Alg) in a gelatinous form. Pectin was presumed to have been removed with the supernatant, because depolymerized pectin is generally considered unable to form stable gel networks through Ca<sup>2+</sup> crosslinking.</p>
</sec>
<sec id="Ch1.S2.SS3.SSSx4" specific-use="unnumbered">
  <title>Step 3 Alkaline extraction to dissolve alginate gel</title>
      <p id="d2e1416">Most of the sediment containing alginate gels in each tube was transferred to a single beaker using a spoon. To recover any remaining precipitate in tubes, all eight tubes were rinsed with 500 mL of 10 g L<sup>−1</sup> sodium bicarbonate (NaHCO<sub>3</sub>, Wako, purity <inline-formula><mml:math id="M110" display="inline"><mml:mo>≥</mml:mo></mml:math></inline-formula> 99.5 %) solution, and the rinse solution was collected into a beaker. The resulting suspension in the beaker was heated to 60 °C with continuous stirring for 1.5 h, followed by reaction overnight at room temperature to convert the alginate gel to Na<sup>+</sup>-Alg. Following this step, alginate in the suspension sample was presumed to exist primarily as soluble Na<sup>+</sup>-Alg; however, if Fe<sup>3+</sup>-Alg was not soluble under the alkaline conditions (pH 8.0) of the NaHCO<sub>3</sub> solution, it may have remained in a gel form, as described in Sect. 3.2.1.</p>
</sec>
<sec id="Ch1.S2.SS3.SSSx5" specific-use="unnumbered">
  <title>Step 4 Gelation of Na<sup>+</sup>-Alg into Ca<sup>2+</sup>-Alg</title>
      <p id="d2e1515">The pH of the suspension was adjusted to 5.0 by adding an appropriate volume of 1.0 mol L<sup>−1</sup> HCl. After centrifugation, the supernatant was collected into a beaker. Subsequently, 100 mL of 300 g L<sup>−1</sup> CaCl<sub>2</sub> solution was added to the supernatant, and the mixture was kept overnight at room temperature to convert soluble Na<sup>+</sup>-Alg to Ca<sup>2+</sup>-Alg gel. Following centrifugation, the supernatant was removed, and the resulting precipitate was retained in the tubes. Then, an excess amount of Ca<sup>2+</sup> was added to completely react with the CO<inline-formula><mml:math id="M123" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">3</mml:mn><mml:mrow><mml:mn mathvariant="normal">2</mml:mn><mml:mo>-</mml:mo></mml:mrow></mml:msubsup></mml:mrow></mml:math></inline-formula> ions derived from the previously added NaHCO<sub>3</sub> solution, thereby ensuring efficient ion exchange between Na<sup>+</sup>-Alg and Ca<sup>2+</sup>. After this step, alginate in the precipitate sample was presumed to exist as Ca<sup>2+</sup>-Alg (gel form).</p>
</sec>
<sec id="Ch1.S2.SS3.SSSx6" specific-use="unnumbered">
  <title>Step 5 Hydrochloric acid washing to remove oligosaccharides</title>
      <p id="d2e1648">Twenty milliliters of 0.10 mol L<sup>−1</sup> HCl was added to each centrifuge tube containing the precipitates. The tubes were manually shaken to ensure thorough mixing, followed by centrifugation to remove the acidified supernatant. This acid-washing treatment was repeated until oligosaccharides were no longer detected in the supernatant. To verify the presence of oligosaccharides, the phenol-sulfuric acid colorimetric method was employed: 1.0 mL of the supernatant was transferred to a centrifuge tube, to which 1.0 mL of 50 g L<sup>−1</sup> phenol (Wako, purity <inline-formula><mml:math id="M130" display="inline"><mml:mo>≥</mml:mo></mml:math></inline-formula> 99 %) solution was added and mixed. Subsequently, 5.0 mL of H<sub>2</sub>SO<sub>4</sub> was quickly added and mixed thoroughly. After 10 min, the appearance of a yellow color in the solution, indicating the presence of oligosaccharides, was monitored. If color was observed, an additional round of acid-washing treatment was performed. When the solution remained colorless, confirming the absence of detectable oligosaccharides, the acid-washing treatment was terminated. The precipitates from each centrifuge tube were then collected into a single beaker using a spoon. After this HCl treatment, alginate in the precipitate sample was presumed to exist as a mixture of Ca<sup>2+</sup>-Alg (gel form) and H<sup>+</sup>-Alg (gelatinous form).</p>
</sec>
<sec id="Ch1.S2.SS3.SSSx7" specific-use="unnumbered">
  <title>Step 6 Collection of Na<sup>+</sup>-Alg</title>
      <p id="d2e1738">One hundred milliliters of 10 g L<sup>−1</sup> NaHCO<sub>3</sub> solution was added to a beaker containing the precipitates. The suspension was then heated to 60 °C with continuous stirring for 1.5 h, followed by reaction overnight at room temperature to convert Ca<sup>2+</sup>-Alg to Na<sup>+</sup>-Alg. After centrifugation, the supernatant was collected into a clean beaker. Following this step, alginate in the solution sample was expected to exist as soluble Na<sup>+</sup>-Alg. This extract solution appeared dark brown, likely due to the presence of residual phenolic compounds (McHugh, 1987).</p>
</sec>
<sec id="Ch1.S2.SS3.SSSx8" specific-use="unnumbered">
  <title>Step 7 Ethanol precipitation to remove residual non-targeted compounds</title>
      <p id="d2e1798">To remove non-targeted compounds soluble in organic solvents, such as pigmentation, fats, and phenolic compounds, 400 mL of ethanol (Wako, purity: 99.5 %) was added to the beaker containing the extract solution (Saji et al., 2022; Trica et al., 2019). The ethanol–water mixture was kept overnight at room temperature to precipitate alginate, because alginate is insoluble in ethanol (Gomez et al., 2009). The resulting precipitate was collected by filtration using a polycarbonate membrane filter (Nuclepore, Whatman, Maidstone, UK; pore size: 10 <inline-formula><mml:math id="M141" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi></mml:mrow></mml:math></inline-formula>m, diameter: 47 mm). The filter with the retained precipitate was transferred to a beaker and air-dried overnight at room temperature. Subsequently, 100 mL of 10 g L<sup>−1</sup> NaHCO<sub>3</sub> solution was added to the beaker containing the dried filter, and the mixture was stirred for 1.0 h. The solution was then kept overnight at room temperature to ensure complete dissolution of Na<sup>+</sup>-Alg. After centrifugation, the supernatant was recovered; however, it exhibited a slight brown coloration. To reduce the coloration and ensure compatibility with colorimetric analysis, the supernatant was diluted 20-fold with Milli-Q water and analyzed colorimetrically as described in Sect. 2.2. However, if trace amounts of Na<sup>+</sup>-Alg are soluble in ethanol, significant loss may occur during the extraction of trace levels of Na<sup>+</sup>-Alg from ocean sediment, as described in Sect. 3.2.2.</p>
</sec>
</sec>
<sec id="Ch1.S2.SS4">
  <label>2.4</label><title>Collection of phytoplankton aggregates</title>
      <p id="d2e1867">In the marine environment, phytoplankton are the dominant primary producers, and thus a substantial proportion of the organic matter deposited on the seafloor is presumed to originate from them. Phytoplankton are also known to produce uronic acids, including glucuronic acid derived from structural polysaccharides and galacturonic acid derived from pectin, both of which are constituents of the cell wall (Bergamaschi et al., 1999; Gügi et al., 2015; Domozych et al., 2007). To ensure the accuracy of the modified alginate extraction protocol described in Sect. 3.2.3, it was necessary to confirm that polyuronic acids other than alginate are not detected from phytoplankton aggregate samples by the modified extraction protocol.</p>
      <p id="d2e1870">Phytoplankton aggregates were collected from the water column in Funka Bay (Hokkaido, Japan, Fig. 1) during the peak of the spring phytoplankton bloom in March of 2018, 2019, and 2021. Sampling was conducted using a plankton net with a mouth area of 707 cm<sup>2</sup> (mesh size: 300 <inline-formula><mml:math id="M148" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi></mml:mrow></mml:math></inline-formula>m; mouth diameter: 30cm) towed from near the seafloor (87m depth) to the surface. During the bloom, the chlorophyll-a concentrations in the water reached approximately 20 <inline-formula><mml:math id="M149" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi></mml:mrow></mml:math></inline-formula>g L<sup>−1</sup>. It has been reported that approximately half of the annual primary production in Funka Bay occurs during the spring bloom, with a substantial portion of diatom aggregates sinking and being deposited on the seafloor (Kudo et al., 2000). We assumed that the amount of phytoplankton aggregates collected by the plankton net corresponded to the sedimented amount of polyuronic acids derived from phytoplankton on the seafloor surface within the same area (30cm diameter). The collected phytoplankton samples (<inline-formula><mml:math id="M151" display="inline"><mml:mrow><mml:mi>n</mml:mi><mml:mo>=</mml:mo></mml:mrow></mml:math></inline-formula> 3) were processed using the modified extraction protocol (described in Sect. 3.2.3) and analyzed colorimetrically (as described in Sect. 2.2) to evaluate the detectability of polyuronic acids derived from the phytoplankton samples.</p>
</sec>
<sec id="Ch1.S2.SS5">
  <label>2.5</label><title>Verification of alginate assisted with alginate-degrading enzyme</title>
      <p id="d2e1929">Colorimetric methods estimate alginate content by quantifying uronic acids; however, these methods may also detect uronic acids derived from sources other than alginate, potentially leading to overestimation. To verify that the extracted material from the ocean sediment was alginate, we employed an alginate lyase to confirm its presence through enzymatic degradation. The alginate lyase used in this study was HULK (NIPPON GENE, Tokyo, Japan), which is the most effective enzyme for formation of oligosaccharide from only alginate polymers.</p>
      <p id="d2e1932">HULK most preferably degrades MM blocks, by splitting glycosyl linkages of the alginate chain via the <inline-formula><mml:math id="M152" display="inline"><mml:mi mathvariant="italic">β</mml:mi></mml:math></inline-formula>-elimination mechanism (Inoue et al., 2014). When alginate is present in the extract solution, the enzymatic reaction catalyzed by HULK proceeds to degrade the alginate polymer into di- and trisaccharides. The addition of Ca<sup>2+</sup> to di- and trisaccharides derived from alginate does not induce gelation, because these low-molecular-weight fragments lack the chain length required for effective crosslinking with Ca<sup>2+</sup>. Therefore, if the extract solution was treated with HULK and subsequently subjected to Ca<sup>2+</sup> addition, a significant reduction in calcium-induced precipitation would indicate that the original extract had contained an amount of alginate.</p>
      <p id="d2e1978">The analytical sample was 75mL of the solution extracted from 1.8kg of sediment collected off Muroran (Fig. 1), prepared by using the modified extraction protocol (described in Sect. 3.2.3).</p>
      <p id="d2e1981">The extract solution appeared dark brown, similar in color to algal extracts rich in polyphenols as reported by Andriamanantoanina and Rinaudo (2010), suggesting the possible presence of polyphenols in the sample. It has been reported that polyphenols can form complexes with carbohydrates such as alginates and proteins, thereby inhibiting enzymatic activity, and that the inhibition of alginate degradation by alginate lyase is correlated with the concentration of soluble polyphenols (Moen et al., 1997). Therefore, it is essential to remove polyphenols from the sample prior to enzymatic degradation.</p>
<sec id="Ch1.S2.SS5.SSS1">
  <label>2.5.1</label><title>Bleaching treatment</title>
      <p id="d2e1992">Bleaching treatment has been reported to effectively remove pigments from alginate extracts derived from dark brown algae, which are presumed to be rich in polyphenols, although direct quantification was not performed in that study (Andriamanantoanina and Rinaudo, 2010). Therefore, in the present study, bleaching treatment was applied to reduce the polyphenol content in the extract solution.</p>
      <p id="d2e1995">Three hundred and seventy-five milliliters of 24 mL L<sup>−1</sup> sodium hypochlorite (NaClO, Wako) solution was added to 75 mL of extract solution in a beaker and stirred for 20 min. Subsequently, 188 mL of Milli-Q water was added, followed by neutralization with 0.05 mol L<sup>−1</sup> HCl. Then, 20 mL of 300 g L<sup>−1</sup> CaCl<sub>2</sub> was added, and the mixture was kept overnight at room temperature to convert soluble Na<sup>+</sup>-Alg to Ca<sup>2+</sup>-Alg gel. The following day, the precipitate was collected by centrifugation and transferred to a clean beaker. Forty milliliters of 10 g L<sup>−1</sup> NaHCO<sub>3</sub> solution was added to the precipitate, and the suspension was heated to 60 °C with continuous stirring for 1.5 h, followed by reaction overnight at room temperature to convert Ca<sup>2+</sup>-Alg to Na<sup>+</sup>-Alg. Finally, the supernatant was collected by centrifugation. To reduce the coloration of the extract solution as much as possible, this bleaching process was repeated six times with appropriate adjustments to the reagent quantities (Table 1). After the final bleaching step, the volume of the sample was reduced to 15 mL. The same procedure was also applied to 75 mL of 10 <inline-formula><mml:math id="M166" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi></mml:mrow></mml:math></inline-formula>g mL<sup>−1</sup> Na<sup>+</sup>-Alg solution.</p>

<table-wrap id="T1" specific-use="star"><label>Table 1</label><caption><p id="d2e2140">Reagent quantities used in each repetition of the bleaching treatment</p></caption><oasis:table frame="topbot"><oasis:tgroup cols="6">
     <oasis:colspec colnum="1" colname="col1" align="left"/>
     <oasis:colspec colnum="2" colname="col2" align="right"/>
     <oasis:colspec colnum="3" colname="col3" align="right"/>
     <oasis:colspec colnum="4" colname="col4" align="right"/>
     <oasis:colspec colnum="5" colname="col5" align="right"/>
     <oasis:colspec colnum="6" colname="col6" align="right"/>
     <oasis:thead>
       <oasis:row>
         <oasis:entry colname="col1">Bleaching process</oasis:entry>
         <oasis:entry colname="col2">Sample</oasis:entry>
         <oasis:entry colname="col3">NaClO aq</oasis:entry>
         <oasis:entry colname="col4">Milli-Q water</oasis:entry>
         <oasis:entry colname="col5">CaCl<sub>2</sub> aq</oasis:entry>
         <oasis:entry colname="col6">NaHCO<sub>3</sub> aq</oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1">run number</oasis:entry>
         <oasis:entry colname="col2">(mL)</oasis:entry>
         <oasis:entry colname="col3">(mL)</oasis:entry>
         <oasis:entry colname="col4">(mL)</oasis:entry>
         <oasis:entry colname="col5">(mL)</oasis:entry>
         <oasis:entry colname="col6">(mL)</oasis:entry>
       </oasis:row>
     </oasis:thead>
     <oasis:tbody>
       <oasis:row>
         <oasis:entry colname="col1">1</oasis:entry>
         <oasis:entry colname="col2">75</oasis:entry>
         <oasis:entry colname="col3">375</oasis:entry>
         <oasis:entry colname="col4">188</oasis:entry>
         <oasis:entry colname="col5">20</oasis:entry>
         <oasis:entry colname="col6">40</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">2</oasis:entry>
         <oasis:entry colname="col2">40</oasis:entry>
         <oasis:entry colname="col3">200</oasis:entry>
         <oasis:entry colname="col4">100</oasis:entry>
         <oasis:entry colname="col5">10</oasis:entry>
         <oasis:entry colname="col6">30</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">3</oasis:entry>
         <oasis:entry colname="col2">30</oasis:entry>
         <oasis:entry colname="col3">150</oasis:entry>
         <oasis:entry colname="col4">75</oasis:entry>
         <oasis:entry colname="col5">10</oasis:entry>
         <oasis:entry colname="col6">30</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">4</oasis:entry>
         <oasis:entry colname="col2">30</oasis:entry>
         <oasis:entry colname="col3">150</oasis:entry>
         <oasis:entry colname="col4">75</oasis:entry>
         <oasis:entry colname="col5">10</oasis:entry>
         <oasis:entry colname="col6">50</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">5</oasis:entry>
         <oasis:entry colname="col2">50</oasis:entry>
         <oasis:entry colname="col3">250</oasis:entry>
         <oasis:entry colname="col4">125</oasis:entry>
         <oasis:entry colname="col5">10</oasis:entry>
         <oasis:entry colname="col6">50</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">6</oasis:entry>
         <oasis:entry colname="col2">50</oasis:entry>
         <oasis:entry colname="col3">250<sup>*</sup></oasis:entry>
         <oasis:entry colname="col4">125</oasis:entry>
         <oasis:entry colname="col5">10</oasis:entry>
         <oasis:entry colname="col6">15</oasis:entry>
       </oasis:row>
     </oasis:tbody>
   </oasis:tgroup></oasis:table><table-wrap-foot><p id="d2e2143"><sup>*</sup> NaClO concentration was 36 mL L<sup>−1</sup> for this experimental run only; the concentration in all other runs was 24 mL L<sup>−1</sup>.</p></table-wrap-foot></table-wrap>

</sec>
<sec id="Ch1.S2.SS5.SSS2">
  <label>2.5.2</label><title>Enzymatic degradation of alginate</title>
      <p id="d2e2413">To prepare the buffer solution for adjusting pH and salinity, 1.0 mL of 1.0 mol L<sup>−1</sup> Tris-HCl (pH 7.5, NIPPON GENE), 1.0 mL of 1.0 mol L<sup>−1</sup> Tris-HCl (pH 8.0, NIPPON GENE), 3.0 mL of 5.0 mol L<sup>−1</sup> sodium chloride (NaCl, Wako, purity <inline-formula><mml:math id="M178" display="inline"><mml:mo>≥</mml:mo></mml:math></inline-formula> 99.5 %) solution, and 5.0 mL of Milli-Q water were combined in a tube and thoroughly mixed. For the enzymatic reaction, 5.0 mL of Milli-Q water, 0.80 mL of the prepared buffer solution, 2.0 mL of the bleached extract solution, and 0.40 mL of alginate lyase (HULK) were sequentially added to a centrifuge tube with gentle mixing after each addition. This enzymatic degradation experiment was performed in triplicate using the same sample (<inline-formula><mml:math id="M179" 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>). In parallel, a control experiment was performed without the addition of alginate lyase. In this case, 5.0 mL of Milli-Q water, 0.80 mL of the prepared buffer solution, 2.0 mL of the bleached extract solution, and 0.40 mL of Milli-Q water instead of alginate lyase were sequentially added to a centrifuge tube with gentle mixing after each addition. The control experiment was also conducted in triplicate (<inline-formula><mml:math id="M180" 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>).</p>
      <p id="d2e2484">The same enzymatic experiment was performed on the bleached Na<sup>+</sup>-Alg standard solution (<inline-formula><mml:math id="M182" 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>). In addition, a blank sample (<inline-formula><mml:math id="M183" 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>) was prepared as a control using water in place of the extract solution: specifically, 5.0 mL of Milli-Q water, 0.80 mL of the buffer solution, 2.0 mL of Milli-Q water, and 0.40 mL of alginate lyase (HULK) were sequentially added to a centrifuge tube with gentle mixing. The mixtures were centrifuged (3500 rpm, 1 min, 2380 <inline-formula><mml:math id="M184" display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula> <inline-formula><mml:math id="M185" display="inline"><mml:mi>g</mml:mi></mml:math></inline-formula>) to remove residual water from the inner wall surface and subsequently incubated in an incubator (SLI-220, EYELA, Tokyo, Japan) at 30 °C for one week. After incubation, the pH of each mixture was adjusted to 4.0 using 1.0 mol L<sup>−1</sup> HCl. Subsequently, 10 mL of 300 g L<sup>−1</sup> CaCl<sub>2</sub> was added, and the mixtures were kept overnight at room temperature to convert Na<sup>+</sup>-Alg remaining in the mixture to Ca<sup>2+</sup>-Alg.</p>
      <p id="d2e2589">On the following day, the resulting precipitates were collected by filtration using polycarbonate membrane filters (Nuclepore, Whatman; pore size 0.40 <inline-formula><mml:math id="M191" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi></mml:mrow></mml:math></inline-formula>m, diameter 47 mm). At this stage, the oligomerized alginate produced by alginate lyase was expected to remain in the filtrate, because it does not form crosslinks in the presence of Ca<sup>2+</sup>. Each filter containing the precipitate was transferred into a separate tube, to which 5.0 mL of 20 g L<sup>−1</sup> NaHCO<sub>3</sub> solution was added. The tubes were then incubated in a 60 °C water bath for 1.5 h with gentle shaking every 10 min, followed by reaction overnight at room temperature to convert Ca<sup>2+</sup>-Alg to Na<sup>+</sup>-Alg. The supernatants were collected by centrifugation (3500 rpm, 10 min, 2380 <inline-formula><mml:math id="M197" display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula> <inline-formula><mml:math id="M198" display="inline"><mml:mi>g</mml:mi></mml:math></inline-formula>), and analyzed colorimetrically as described in Sect. 2.2.</p>
</sec>
</sec>
</sec>
<sec id="Ch1.S3">
  <label>3</label><title>Results and discussion</title>
<sec id="Ch1.S3.SS1">
  <label>3.1</label><title>Spike recovery of alginate using the conventional food chemistry method</title>
      <p id="d2e2686">Table 2 shows the yield of alginate extracted from the sediment sample and the corresponding spike recovery based on the conventional extraction method as used in food chemistry. The spike recovery of Na<sup>+</sup>-Alg from the sample was found to be 36.8 %–40.7 %. These results suggest that the conventional extraction approach is not suitable for efficient recovery of alginate from ocean sediment.</p>

<table-wrap id="T2" specific-use="star"><label>Table 2</label><caption><p id="d2e2701">Spike recovery of added Na<sup>+</sup>-Alg from ocean sediment by using the food extraction method<sup>a</sup></p></caption><oasis:table frame="topbot"><oasis:tgroup cols="4">
     <oasis:colspec colnum="1" colname="col1" align="left"/>
     <oasis:colspec colnum="2" colname="col2" align="right"/>
     <oasis:colspec colnum="3" colname="col3" align="right"/>
     <oasis:colspec colnum="4" colname="col4" align="right"/>
     <oasis:thead>
       <oasis:row>
         <oasis:entry colname="col1">Sample</oasis:entry>
         <oasis:entry colname="col2">Absorbance</oasis:entry>
         <oasis:entry colname="col3">Yield</oasis:entry>
         <oasis:entry colname="col4">Spike recovery<sup>c</sup></oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2"/>
         <oasis:entry colname="col3">(mg per 300 g<inline-formula><mml:math id="M208" display="inline"><mml:mrow><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup><mml:msup><mml:mo>)</mml:mo><mml:mi mathvariant="normal">b</mml:mi></mml:msup></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col4">(%)</oasis:entry>
       </oasis:row>
     </oasis:thead>
     <oasis:tbody>
       <oasis:row>
         <oasis:entry colname="col1">Sediment</oasis:entry>
         <oasis:entry colname="col2">0.209</oasis:entry>
         <oasis:entry colname="col3">81.41</oasis:entry>
         <oasis:entry colname="col4">40.7</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"><inline-formula><mml:math id="M209" display="inline"><mml:mo>+</mml:mo></mml:math></inline-formula> Na<sup>+</sup>-Alg (200 mg)</oasis:entry>
         <oasis:entry colname="col2">0.197</oasis:entry>
         <oasis:entry colname="col3">76.96</oasis:entry>
         <oasis:entry colname="col4">38.5</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2">0.188</oasis:entry>
         <oasis:entry colname="col3">73.63</oasis:entry>
         <oasis:entry colname="col4">36.8</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2"/>
         <oasis:entry colname="col3"/>
         <oasis:entry colname="col4">average 38.7</oasis:entry>
       </oasis:row>
     </oasis:tbody>
   </oasis:tgroup></oasis:table><table-wrap-foot><p id="d2e2721"><sup>a</sup> Conventional extraction method used in food chemistry. <sup>b</sup> 300 g indicates the sediment sample weight. <sup>c</sup> Spike recovery <inline-formula><mml:math id="M205" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> Yield (mg 200 mg<sup>−1</sup>).</p></table-wrap-foot></table-wrap>

</sec>
<sec id="Ch1.S3.SS2">
  <label>3.2</label><title>Modification of extraction treatment</title>
<sec id="Ch1.S3.SS2.SSS1">
  <label>3.2.1</label><title>Dissolve Fe<sup>3+</sup>-Alg present in the sediment sample</title>
      <p id="d2e2941">If Fe<sup>3+</sup>-Alg, formed via ion exchange between alginate and Fe<sup>3+</sup>, is present in a sediment sample, the gel may not dissolve in the NaHCO<sub>3</sub> solution and could remain in the sediment even after alkaline treatment (Step 3), leading to reduced recovery. To address this issue, we investigated the optimal conditions for the simultaneous dissolution of both Fe<sup>3+</sup>-Alg and Ca<sup>2+</sup>-Alg gels, which are presumed to be the predominant forms of alginate present prior to the alkaline treatment. Disodium dihydrogen ethylenediamine tetraacetic acid dihydrate (EDTA-2Na) is a potent chelator that forms more stable complexes with Fe<sup>3+</sup> than the binding affinity of Fe<sup>3+</sup> to alginate (Berner and Hood, 1983). Because the stability of EDTA-metal complexes depends on pH (Ueno, 1959), we investigated the dissolution behavior of Fe<sup>3+</sup>-Alg and Ca<sup>2+</sup>-Alg in EDTA-2Na solutions adjusted to pH 4.0 and 5.0, and compared the results with those obtained using NaHCO<sub>3</sub> solution at pH 8.0.</p>
      <p id="d2e3059">Fe<sup>3+</sup>-Alg gel was prepared by dropping 20 mL of 10 g L<sup>−1</sup> Na<sup>+</sup>-Alg solution into 20 mL of 100 g L<sup>−1</sup> iron (III) chloride hexahydrate (FeCl<sub>3</sub>, Wako, purity <inline-formula><mml:math id="M227" display="inline"><mml:mo>≥</mml:mo></mml:math></inline-formula> 99 %) solution in a beaker. To ensure complete reaction between Na<sup>+</sup>-Alg and Fe<sup>3+</sup> ions, the resulting Fe<sup>3+</sup>-Alg <inline-formula><mml:math id="M231" display="inline"><mml:mo>/</mml:mo></mml:math></inline-formula> Na<sup>+</sup>-Alg suspension was repeatedly filtered through a 100 <inline-formula><mml:math id="M233" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi></mml:mrow></mml:math></inline-formula>m stainless steel mesh using a silicone spatula. The reddish Fe<sup>3+</sup>-Alg gel retained on the mesh was collected and rinsed three times with Milli-Q water. For comparison, Ca<sup>2+</sup>-Alg gel was similarly prepared by dropping 20 mL of 10 g L<sup>−1</sup> Na<sup>+</sup>-Alg solution into 20 mL of 100 g L<sup>−1</sup> CaCl<sub>2</sub> solution. Each gel type (Fe<sup>3+</sup>-Alg and Ca<sup>2+</sup>-Alg) was divided into two portions. One half of each was added to 500 mL of 10 g L<sup>−1</sup> NaHCO<sub>3</sub> solution and heated to 60 °C with continuous stirring for 1.5 h. The other halves were added to 500 mL of 80 g L<sup>−1</sup> EDTA-2Na (Kanto Chemical, Tokyo, Japan, purity <inline-formula><mml:math id="M245" display="inline"><mml:mi mathvariant="italic">&gt;</mml:mi></mml:math></inline-formula> 99.5 %) solution, which had an initial pH of 4.0, and stirred for 1.5 h. These suspensions were then kept overnight at room temperature. The presence or absence of remaining gel was assessed visually. Subsequently, the pH of the EDTA-2Na solution was adjusted to 5.0 by adding 3.0 mol L<sup>−1</sup> NaOH solution. After stirring for an additional 1.5 h, the mixtures were again kept overnight at room temperature, and the presence of gel was assessed visually.</p>
      <p id="d2e3326">Most of the Fe<sup>3+</sup>-Alg did not dissolve in NaHCO<sub>3</sub> (pH 8.0) solution, but it did dissolve completely in EDTA-2Na solution at pH 4.0 and pH 5.0 (Table 3). Ca<sup>2+</sup>-Alg, in contrast, was soluble in both NaHCO<sub>3</sub> (pH 8.0) and EDTA-2Na (pH 5.0) solutions, but it remained insoluble in EDTA-2Na at pH 4.0. Based on these observations, EDTA-2Na solution at pH 5.0 was selected as the optimal condition for the simultaneous dissolution of Fe<sup>3+</sup>-Alg and Ca<sup>2+</sup>-Alg in ocean sediment samples.</p>

<table-wrap id="T3" specific-use="star"><label>Table 3</label><caption><p id="d2e3400">Results of dissolution tests on Fe<sup>3+</sup>-Alg and Ca<sup>2+</sup>-Alg in NaHCO<sub>3</sub> and EDTA-2Na solutions</p></caption><oasis:table frame="topbot"><oasis:tgroup cols="4">
     <oasis:colspec colnum="1" colname="col1" align="left"/>
     <oasis:colspec colnum="2" colname="col2" align="left"/>
     <oasis:colspec colnum="3" colname="col3" align="left"/>
     <oasis:colspec colnum="4" colname="col4" align="left"/>
     <oasis:thead>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1">Sample</oasis:entry>
         <oasis:entry colname="col2">NaHCO<sub>3</sub> (pH 8.0)</oasis:entry>
         <oasis:entry colname="col3">EDTA-2Na (pH 5.0)</oasis:entry>
         <oasis:entry colname="col4">EDTA-2Na (pH 4.0)</oasis:entry>
       </oasis:row>
     </oasis:thead>
     <oasis:tbody>
       <oasis:row>
         <oasis:entry colname="col1">Fe<sup>3+</sup>-Alg gel</oasis:entry>
         <oasis:entry colname="col2">remained</oasis:entry>
         <oasis:entry colname="col3">dissolved</oasis:entry>
         <oasis:entry colname="col4">dissolved</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Ca<sup>2+</sup>-Alg gel</oasis:entry>
         <oasis:entry colname="col2">dissolved</oasis:entry>
         <oasis:entry colname="col3">dissolved</oasis:entry>
         <oasis:entry colname="col4">remained</oasis:entry>
       </oasis:row>
     </oasis:tbody>
   </oasis:tgroup></oasis:table></table-wrap>

</sec>
<sec id="Ch1.S3.SS2.SSS2">
  <label>3.2.2</label><title>Omit ethanol precipitation in the final purification step</title>
      <p id="d2e3542">In the field of food chemistry, Na<sup>+</sup>-Alg is generally considered to be insoluble in ethanol–water mixtures; therefore, precipitation of Na<sup>+</sup>-Alg in a <inline-formula><mml:math id="M261" display="inline"><mml:mrow><mml:mn mathvariant="normal">4</mml:mn><mml:mo>:</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:math></inline-formula> (<inline-formula><mml:math id="M262" display="inline"><mml:mrow><mml:mi>v</mml:mi><mml:mo>/</mml:mo><mml:mi>v</mml:mi></mml:mrow></mml:math></inline-formula>) ethanol–water solution is commonly employed as the final step in extraction and purification. However, we were concerned that trace amounts of Na<sup>+</sup>-Alg might dissolve in a <inline-formula><mml:math id="M264" display="inline"><mml:mrow><mml:mn mathvariant="normal">4</mml:mn><mml:mo>:</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:math></inline-formula> (<inline-formula><mml:math id="M265" display="inline"><mml:mrow><mml:mi>v</mml:mi><mml:mo>/</mml:mo><mml:mi>v</mml:mi></mml:mrow></mml:math></inline-formula>) ethanol–water solution. If such minor solubility exists, it could result in significant loss during the extraction of trace levels of Na<sup>+</sup>-Alg from ocean sediment.</p>
      <p id="d2e3630">To evaluate the dissolution behavior, we prepared two Na<sup>+</sup>-Alg solutions (0.50 g L<sup>−1</sup> and 2.0 g L<sup>−1</sup>; 100 mL each) and added 400 mL of ethanol (99.5 %) to each. The mixtures were kept overnight at room temperature to allow precipitation. Afterward, each mixture was filtered through a polycarbonate membrane filter (Nuclepore, Whatman; pore size: 0.22 <inline-formula><mml:math id="M270" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi></mml:mrow></mml:math></inline-formula>m, diameter: 47 mm). The filtrates were collected and evaporated to complete dryness. The resulting residues were re-dissolved in 20mL of Milli-Q water. Subsequently, 0.50 mL of each re-dissolved sample was transferred to a separate tube and diluted 40-fold with Milli-Q water. The concentration of Na<sup>+</sup>-Alg in each diluted sample was then determined using the <inline-formula><mml:math id="M272" display="inline"><mml:mi>m</mml:mi></mml:math></inline-formula>-hydroxydiphenyl colorimetric method.</p>
      <p id="d2e3691">We observed that the 2.0 g L<sup>−1</sup> Na<sup>+</sup>-Alg solution was partially soluble in ethanol, with approximately 66 % dissolution, whereas the 0.50 g L<sup>−1</sup> Na<sup>+</sup>-Alg solution was completely dissolved (Table 4). These results indicate that trace amounts of alginate are soluble in ethanol. Consequently, a significant loss of alginate could occur during ethanol precipitation, particularly when extracting trace levels of alginate from ocean sediment. Therefore, the ethanol precipitation process was considered unsuitable for the extraction of alginate from sediment samples.</p>

<table-wrap id="T4"><label>Table 4</label><caption><p id="d2e3740">Dissolved amounts and loss rates of Na<sup>+</sup>-Alg in an ethanol/water (4:1) solution</p></caption><oasis:table frame="topbot"><oasis:tgroup cols="4">
     <oasis:colspec colnum="1" colname="col1" align="left"/>
     <oasis:colspec colnum="2" colname="col2" align="right"/>
     <oasis:colspec colnum="3" colname="col3" align="right"/>
     <oasis:colspec colnum="4" colname="col4" align="right"/>
     <oasis:thead>
       <oasis:row>
         <oasis:entry colname="col1">Na<sup>+</sup>-Alg</oasis:entry>
         <oasis:entry colname="col2">Na<sup>+</sup>-Alg</oasis:entry>
         <oasis:entry colname="col3">Dissolved</oasis:entry>
         <oasis:entry colname="col4">loss rate</oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1">sample (100 mL)</oasis:entry>
         <oasis:entry colname="col2">in sample (g)</oasis:entry>
         <oasis:entry colname="col3">amount (g)</oasis:entry>
         <oasis:entry colname="col4"/>
       </oasis:row>
     </oasis:thead>
     <oasis:tbody>
       <oasis:row>
         <oasis:entry colname="col1">0.50 g L<sup>−1</sup></oasis:entry>
         <oasis:entry colname="col2">0.050</oasis:entry>
         <oasis:entry colname="col3">0.057<sup>*</sup></oasis:entry>
         <oasis:entry colname="col4">100 %</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">2.0 g L<sup>−1</sup></oasis:entry>
         <oasis:entry colname="col2">0.200</oasis:entry>
         <oasis:entry colname="col3">0.132</oasis:entry>
         <oasis:entry colname="col4">66 %</oasis:entry>
       </oasis:row>
     </oasis:tbody>
   </oasis:tgroup></oasis:table><table-wrap-foot><p id="d2e3752"><sup>*</sup> The dissolved amount (0.057 g) was determined to be higher than the original amount (0.050 g). This value is within the analytical precision(<inline-formula><mml:math id="M279" display="inline"><mml:mo lspace="0mm">±</mml:mo></mml:math></inline-formula> 15 %).</p></table-wrap-foot></table-wrap>

<table-wrap id="T5" specific-use="star"><label>Table 5</label><caption><p id="d2e3900">Spike recovery of added Na<sup>+</sup>-Alg from the ocean sediment when using the modified extraction protocol<sup>a</sup></p></caption><oasis:table frame="topbot"><oasis:tgroup cols="4">
     <oasis:colspec colnum="1" colname="col1" align="left"/>
     <oasis:colspec colnum="2" colname="col2" align="right"/>
     <oasis:colspec colnum="3" colname="col3" align="right"/>
     <oasis:colspec colnum="4" colname="col4" align="right"/>
     <oasis:thead>
       <oasis:row>
         <oasis:entry colname="col1">Sample</oasis:entry>
         <oasis:entry colname="col2">Absorbance</oasis:entry>
         <oasis:entry colname="col3">Yield</oasis:entry>
         <oasis:entry colname="col4">Spike recovery<sup>c</sup></oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2"/>
         <oasis:entry colname="col3">(mg 300 g<inline-formula><mml:math id="M294" display="inline"><mml:mrow><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup><mml:msup><mml:mo>)</mml:mo><mml:mi mathvariant="normal">b</mml:mi></mml:msup></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col4">(%)</oasis:entry>
       </oasis:row>
     </oasis:thead>
     <oasis:tbody>
       <oasis:row>
         <oasis:entry colname="col1">Sediment</oasis:entry>
         <oasis:entry colname="col2">0.405</oasis:entry>
         <oasis:entry colname="col3">154.00</oasis:entry>
         <oasis:entry colname="col4">77.0</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"><inline-formula><mml:math id="M295" display="inline"><mml:mo>+</mml:mo></mml:math></inline-formula> Na<sup>+</sup>-Alg (200 mg)</oasis:entry>
         <oasis:entry colname="col2">0.399</oasis:entry>
         <oasis:entry colname="col3">151.78</oasis:entry>
         <oasis:entry colname="col4">75.9</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2">0.435</oasis:entry>
         <oasis:entry colname="col3">165.11</oasis:entry>
         <oasis:entry colname="col4">82.6</oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2"/>
         <oasis:entry colname="col3"/>
         <oasis:entry colname="col4">average 78.5</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Sediment</oasis:entry>
         <oasis:entry colname="col2">0.179</oasis:entry>
         <oasis:entry colname="col3">70.3</oasis:entry>
         <oasis:entry colname="col4">70.3</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"><inline-formula><mml:math id="M297" display="inline"><mml:mo>+</mml:mo></mml:math></inline-formula> Na<sup>+</sup>-Alg (100 mg)</oasis:entry>
         <oasis:entry colname="col2">0.164</oasis:entry>
         <oasis:entry colname="col3">64.74</oasis:entry>
         <oasis:entry colname="col4">64.7</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2">0.193</oasis:entry>
         <oasis:entry colname="col3">75.48</oasis:entry>
         <oasis:entry colname="col4">75.5</oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2"/>
         <oasis:entry colname="col3"/>
         <oasis:entry colname="col4">average 70.2</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Sediment</oasis:entry>
         <oasis:entry colname="col2">0.080</oasis:entry>
         <oasis:entry colname="col3">33.63</oasis:entry>
         <oasis:entry colname="col4">67.3</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"><inline-formula><mml:math id="M299" display="inline"><mml:mo>+</mml:mo></mml:math></inline-formula> Na<sup>+</sup>-Alg (50 mg)</oasis:entry>
         <oasis:entry colname="col2">0.09</oasis:entry>
         <oasis:entry colname="col3">37.33</oasis:entry>
         <oasis:entry colname="col4">74.7</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2">0.092</oasis:entry>
         <oasis:entry colname="col3">38.07</oasis:entry>
         <oasis:entry colname="col4">76.1</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2"/>
         <oasis:entry colname="col3"/>
         <oasis:entry colname="col4">average 72.7</oasis:entry>
       </oasis:row>
     </oasis:tbody>
   </oasis:tgroup></oasis:table><table-wrap-foot><p id="d2e3920"><sup>a</sup> The modified protocol includes Fe<sup>3+</sup>-Alg dissolution and does not involve ethanol precipitation. <sup>b</sup> 300 g indicates the sediment sample weight. <sup>c</sup>Spike recovery <inline-formula><mml:math id="M291" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> Yield (mg 200, 100, or 50 mg<sup>−1</sup>).</p></table-wrap-foot></table-wrap>

</sec>
<sec id="Ch1.S3.SS2.SSS3">
  <label>3.2.3</label><title>Modified extraction protocol</title>
      <p id="d2e4276">We modified two key aspects of the alginate extraction protocol. First, an EDTA-2Na treatment step was introduced to dissolve Fe<sup>3+</sup>-Alg and Ca<sup>2+</sup>-Alg gels into the liquid phase. Second, the ethanol precipitation step was omitted from the final purification process to avoid significant loss of alginate. The modified extraction protocol, in which Steps 1, 2, 4, and 5 remain identical to those described in the Methods section, is presented below. A complete overview of the updated protocol for alginate extraction from ocean sediment is provided in supplementary material (Fig. S1).</p>
      <p id="d2e4303">We prepared nine sediment samples with a wet weight of 300 g using muddy sediment rich in organic material collected from Funka Bay (Fig. 1) in March 2024. The test samples (<inline-formula><mml:math id="M303" display="inline"><mml:mrow><mml:mi>n</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">3</mml:mn><mml:mo>×</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:math></inline-formula>) were treated by the modified alginate extraction method as follows (Steps 1–7).</p>

<table-wrap id="T6" specific-use="star"><label>Table 6</label><caption><p id="d2e4325">Yield of uronic acid from plankton net samples</p></caption><oasis:table frame="topbot"><oasis:tgroup cols="4">
     <oasis:colspec colnum="1" colname="col1" align="left"/>
     <oasis:colspec colnum="2" colname="col2" align="right"/>
     <oasis:colspec colnum="3" colname="col3" align="right"/>
     <oasis:colspec colnum="4" colname="col4" align="right"/>
     <oasis:thead>
       <oasis:row>
         <oasis:entry colname="col1">Plankton net sample</oasis:entry>
         <oasis:entry colname="col2">Chlorophyll <inline-formula><mml:math id="M308" display="inline"><mml:mi>a</mml:mi></mml:math></inline-formula></oasis:entry>
         <oasis:entry rowsep="1" namest="col3" nameend="col4" align="center">Modified extraction </oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2">(g sample<sup>−1</sup>)</oasis:entry>
         <oasis:entry colname="col3">Absorbance</oasis:entry>
         <oasis:entry colname="col4">Yield(mg sample<sup>−1</sup>)<sup>a</sup></oasis:entry>
       </oasis:row>
     </oasis:thead>
     <oasis:tbody>
       <oasis:row>
         <oasis:entry colname="col1">Funka Bay (2018.3)</oasis:entry>
         <oasis:entry colname="col2">4.93</oasis:entry>
         <oasis:entry colname="col3">0.006<sup>b</sup></oasis:entry>
         <oasis:entry colname="col4">0.30</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Funka Bay (2019.3)</oasis:entry>
         <oasis:entry colname="col2">3.87</oasis:entry>
         <oasis:entry colname="col3">0.006<sup>b</sup></oasis:entry>
         <oasis:entry colname="col4">0.30</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Funka Bay (2021.3)</oasis:entry>
         <oasis:entry colname="col2">3.57</oasis:entry>
         <oasis:entry colname="col3">0.007<sup>b</sup></oasis:entry>
         <oasis:entry colname="col4">0.38</oasis:entry>
       </oasis:row>
     </oasis:tbody>
   </oasis:tgroup></oasis:table><table-wrap-foot><p id="d2e4328"><sup>a</sup> Yield (mg) of uronic acid was converted to Na<sup>+</sup>-Alg concentration using the calibration curve in Fig. 2b. <sup>b</sup> These absorbances exceed the lower limit (absorbance <inline-formula><mml:math id="M307" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> 0.0040) described in Sect. 2.2.</p></table-wrap-foot></table-wrap>

<table-wrap id="T7" specific-use="star"><label>Table 7</label><caption><p id="d2e4521">Na<sup>+</sup>-Alg concentrations of extract solution, Na<sup>+</sup>-Alg standard solution, and Milli-Q water (blank), both with and without alginate lyase treatment</p></caption><oasis:table frame="topbot"><oasis:tgroup cols="3">
     <oasis:colspec colnum="1" colname="col1" align="left"/>
     <oasis:colspec colnum="2" colname="col2" align="right"/>
     <oasis:colspec colnum="3" colname="col3" align="right"/>
     <oasis:thead>
       <oasis:row rowsep="1">

         <oasis:entry colname="col1">Sample</oasis:entry>

         <oasis:entry colname="col2">Absorbance</oasis:entry>

         <oasis:entry colname="col3">Na<sup>+</sup>-Alg (<inline-formula><mml:math id="M318" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi></mml:mrow></mml:math></inline-formula>g mL<sup>−1</sup>)</oasis:entry>

       </oasis:row>
     </oasis:thead>
     <oasis:tbody>
       <oasis:row>

         <oasis:entry rowsep="1" colname="col1" morerows="2">Alginate lyase-treated extract solution</oasis:entry>

         <oasis:entry colname="col2">0.053</oasis:entry>

         <oasis:entry colname="col3">11.81</oasis:entry>

       </oasis:row>
       <oasis:row>

         <oasis:entry colname="col2">0.054</oasis:entry>

         <oasis:entry colname="col3">12.00</oasis:entry>

       </oasis:row>
       <oasis:row rowsep="1">

         <oasis:entry colname="col2">0.056</oasis:entry>

         <oasis:entry colname="col3">12.37</oasis:entry>

       </oasis:row>
       <oasis:row>

         <oasis:entry rowsep="1" colname="col1" morerows="2">Untreated extract solution</oasis:entry>

         <oasis:entry colname="col2">0.090</oasis:entry>

         <oasis:entry colname="col3">18.67</oasis:entry>

       </oasis:row>
       <oasis:row>

         <oasis:entry colname="col2">0.087</oasis:entry>

         <oasis:entry colname="col3">18.11</oasis:entry>

       </oasis:row>
       <oasis:row rowsep="1">

         <oasis:entry colname="col2">0.088</oasis:entry>

         <oasis:entry colname="col3">18.30</oasis:entry>

       </oasis:row>
       <oasis:row>

         <oasis:entry colname="col1">Alginate lyase-treated Na<sup>+</sup>-Alg solution</oasis:entry>

         <oasis:entry colname="col2">0.004</oasis:entry>

         <oasis:entry colname="col3">0.32</oasis:entry>

       </oasis:row>
       <oasis:row>

         <oasis:entry colname="col1">Untreated Na<sup>+</sup>-Alg solution</oasis:entry>

         <oasis:entry colname="col2">0.013</oasis:entry>

         <oasis:entry colname="col3">2.23</oasis:entry>

       </oasis:row>
       <oasis:row>

         <oasis:entry colname="col1">Alginate lyase-treated water (blank)</oasis:entry>

         <oasis:entry colname="col2">0.004</oasis:entry>

         <oasis:entry colname="col3">–</oasis:entry>

       </oasis:row>
     </oasis:tbody>
   </oasis:tgroup></oasis:table></table-wrap>

</sec>
<sec id="Ch1.S3.SS2.SSSx1" specific-use="unnumbered">
  <title>Preparation of test sediment samples</title>
      <p id="d2e4721">To prepare the test samples, 500 mL of Milli-Q water and 20mL of Na<sup>+</sup>-Alg solutions at concentrations of 10, 5.0, and 2.5 g L<sup>−1</sup> – containing 200, 100, and 50 mg of Na<sup>+</sup>-Alg, respectively – were added to 300g of sediment sample (<inline-formula><mml:math id="M325" 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>) in separate beakers, followed by stirring for 5 min. These samples were labeled as “sediment <inline-formula><mml:math id="M326" display="inline"><mml:mo>+</mml:mo></mml:math></inline-formula> Na<sup>+</sup>-Alg 200 mg,” “sediment <inline-formula><mml:math id="M328" display="inline"><mml:mo>+</mml:mo></mml:math></inline-formula> Na<sup>+</sup>-Alg 100 mg,” and “sediment <inline-formula><mml:math id="M330" display="inline"><mml:mo>+</mml:mo></mml:math></inline-formula> Na<sup>+</sup>-Alg 50 mg,” respectively. The resulting suspensions were stored overnight at 4 °C to allow the added Na<sup>+</sup>-Alg to transform into Mg<sup>2+</sup>-Alg, Ca<sup>2+</sup>-Alg gel, and Fe<sup>3+</sup>-Alg gel. After this treatment, alginate in the samples was presumed to exist as a mixture of gelled forms (Ca<sup>2+</sup>-Alg and Fe<sup>3+</sup>-Alg) and soluble salts (Na<sup>+</sup>-Alg and Mg<sup>2+</sup>-Alg).</p>
</sec>
<sec id="Ch1.S3.SS2.SSSx2" specific-use="unnumbered">
  <title>Step 3 Alkaline extraction to dissolve alginate gel</title>
      <p id="d2e4914">To prepare 80 g L<sup>−1</sup> EDTA-2Na solution, 40 g of EDTA-2Na was dissolved in 500 mL of Milli-Q water. The pH of the resulting solution was 4.0 without any adjustment. Most of the sediment containing alginate gel from each tube was transferred into a single beaker using a spoon. To recover any remaining precipitate in tubes, all eight tubes were rinsed with 500 mL of 80 g L<sup>−1</sup> EDTA-2Na solution (pH 4.0), and the rinse solution was collected into a beaker. The resulting suspension in the beaker was stirred for 1.5 h, followed by reaction overnight at room temperature to convert Fe<sup>3+</sup>-Alg to Na<sup>+</sup>-Alg via chelation. Subsequently, the pH of the suspension was adjusted to 5.0 by adding 3.0 mol L<sup>−1</sup> NaOH solution, followed by stirring for another 1.5h and reaction overnight at room temperature to convert Ca<sup>2+</sup>-Alg into Na<sup>+</sup>-Alg through ion exchange. Following this step, alginate in the suspension sample was presumed to exist primarily as soluble Na<sup>+</sup>-Alg.</p>
</sec>
<sec id="Ch1.S3.SS2.SSSx3" specific-use="unnumbered">
  <title>Step 6 Collection of Na<sup>+</sup>-Alg</title>
      <p id="d2e5022">An appropriate volume (20–100 mL) of 10 g L<sup>−1</sup> NaHCO<sub>3</sub> solution, adjusted based on the estimated amount of alginate, was added to a beaker containing the precipitates to keep the alginate concentration within the range of the calibration curve (Fig. 2). For instance, 100 mL of 10 g L<sup>−1</sup> NaHCO<sub>3</sub> solution was added to the sample that had been supplemented with alginate during the preparation step, because it was presumed to contain a large amount of Ca<sup>2+</sup>-Alg. Conversely, for the sample without added alginate, which was presumed to contain a trace amount of Ca<sup>2+</sup>-Alg, only 20 mL of 10 g L<sup>−1</sup> NaHCO<sub>3</sub> solution was used. The suspension was then heated to 60 °C with continuous stirring for 1.5 h, followed by reaction overnight at room temperature to convert Ca<sup>2+</sup>-Alg to Na<sup>+</sup>-Alg. After centrifugation, the supernatant was collected into a clean bottle. Following this step, alginate in the solution sample was expected to exist as soluble Na<sup>+</sup>-Alg.</p>
</sec>
<sec id="Ch1.S3.SS2.SSSx4" specific-use="unnumbered">
  <title>Step 7 Prepare the solution for colorimetric analysis</title>
      <p id="d2e5150">The extract solution appeared dark brown, likely due to the presence of residual phenolic compounds (McHugh, 1987). To reduce the coloration and ensure compatibility with colorimetric analysis, the extract solution was diluted 20–100-fold with Milli-Q water and analyzed colorimetrically as described in Sect. 2.2.</p>
</sec>
<sec id="Ch1.S3.SS2.SSS4">
  <label>3.2.4</label><title>Spike recovery of alginate using the modified protocol</title>
      <p id="d2e5161">Table 5 shows the yield of alginate extracted from the sediment sample and the corresponding spike recovery based on the modified extraction protocol. We achieved higher spike recoveries (64.7 %–82.6 %) by using the modified extraction protocol than by the conventional protocol (recovery 38.7 %; Table 2). It should be noted that these efficiencies reflect the recovery of alginate naturally present in the sediment samples; therefore, the reported values may be slightly overestimated.</p>
</sec>
</sec>
<sec id="Ch1.S3.SS3">
  <label>3.3</label><title>Interference by polyuronic acid derived from phytoplankton</title>
      <p id="d2e5173">Table 6 shows the yield of uronic acid extracted from the phytoplankton aggregates by applying the modified extraction protocol. The average yield was 0.33 (mg sample<sup>−1</sup>), corresponding to 23 % of the average uronic acid yield obtained from sediment samples collected in Funka Bay in August, October, and December 2024 (Fig. 1), as described in Sect. 3.5. These results indicate that although a fraction of the uronic acids (galacturonic acid or glucuronic acid) derived from phytoplankton remained in the extract solution, the modified extraction protocol effectively eliminated most of the interference from phytoplankton-derived polyuronic acids, thereby enabling the selective and efficient recovery of alginate.</p>
      <p id="d2e5188">Sample volumes for Funka Bay (2018 and 2019) were 800 mL, and for Funka Bay (2021) was 600 mL.</p>

<table-wrap id="T8"><label>Table 8</label><caption><p id="d2e5195">Yield of alginate from ocean sediment samples.</p></caption><oasis:table frame="topbot"><oasis:tgroup cols="3">
     <oasis:colspec colnum="1" colname="col1" align="left"/>
     <oasis:colspec colnum="2" colname="col2" align="right"/>
     <oasis:colspec colnum="3" colname="col3" align="right"/>
     <oasis:thead>
       <oasis:row>

         <oasis:entry colname="col1">Sample</oasis:entry>

         <oasis:entry colname="col2">Absorbance</oasis:entry>

         <oasis:entry colname="col3">Yield</oasis:entry>

       </oasis:row>
       <oasis:row rowsep="1">

         <oasis:entry colname="col1"/>

         <oasis:entry colname="col2"/>

         <oasis:entry colname="col3">(mg 300 g<sup>−1</sup>)<sup>a</sup></oasis:entry>

       </oasis:row>
     </oasis:thead>
     <oasis:tbody>
       <oasis:row>

         <oasis:entry rowsep="1" colname="col1" morerows="2">Off Cape Esan (2024.6)</oasis:entry>

         <oasis:entry colname="col2">0.015</oasis:entry>

         <oasis:entry colname="col3">1.06</oasis:entry>

       </oasis:row>
       <oasis:row>

         <oasis:entry colname="col2">0.018</oasis:entry>

         <oasis:entry colname="col3">1.32</oasis:entry>

       </oasis:row>
       <oasis:row rowsep="1">

         <oasis:entry colname="col2">0.016</oasis:entry>

         <oasis:entry colname="col3">1.15</oasis:entry>

       </oasis:row>
       <oasis:row>

         <oasis:entry rowsep="1" colname="col1" morerows="1">Hakodate Bay (2024.6)<sup>b</sup></oasis:entry>

         <oasis:entry colname="col2">0.019</oasis:entry>

         <oasis:entry colname="col3">3.51</oasis:entry>

       </oasis:row>
       <oasis:row rowsep="1">

         <oasis:entry colname="col2">0.02</oasis:entry>

         <oasis:entry colname="col3">3.72</oasis:entry>

       </oasis:row>
       <oasis:row>

         <oasis:entry rowsep="1" colname="col1" morerows="2">Funka Bay (2024.8)</oasis:entry>

         <oasis:entry colname="col2">0.014</oasis:entry>

         <oasis:entry colname="col3">0.98</oasis:entry>

       </oasis:row>
       <oasis:row>

         <oasis:entry colname="col2">0.03</oasis:entry>

         <oasis:entry colname="col3">2.34</oasis:entry>

       </oasis:row>
       <oasis:row rowsep="1">

         <oasis:entry colname="col2">0.014</oasis:entry>

         <oasis:entry colname="col3">0.98</oasis:entry>

       </oasis:row>
       <oasis:row>

         <oasis:entry rowsep="1" colname="col1" morerows="2">Funka Bay (2024.10)</oasis:entry>

         <oasis:entry colname="col2">0.018</oasis:entry>

         <oasis:entry colname="col3">1.32</oasis:entry>

       </oasis:row>
       <oasis:row>

         <oasis:entry colname="col2">0.01</oasis:entry>

         <oasis:entry colname="col3">0.64</oasis:entry>

       </oasis:row>
       <oasis:row rowsep="1">

         <oasis:entry colname="col2">0.025</oasis:entry>

         <oasis:entry colname="col3">1.91</oasis:entry>

       </oasis:row>
       <oasis:row>

         <oasis:entry rowsep="1" colname="col1" morerows="2">Funka Bay (2024.12)</oasis:entry>

         <oasis:entry colname="col2">0.009</oasis:entry>

         <oasis:entry colname="col3">0.55</oasis:entry>

       </oasis:row>
       <oasis:row>

         <oasis:entry colname="col2">0.022</oasis:entry>

         <oasis:entry colname="col3">1.66</oasis:entry>

       </oasis:row>
       <oasis:row rowsep="1">

         <oasis:entry colname="col2">0.03</oasis:entry>

         <oasis:entry colname="col3">2.34</oasis:entry>

       </oasis:row>
       <oasis:row>

         <oasis:entry colname="col1" morerows="3">Off Muroran (2025.2)</oasis:entry>

         <oasis:entry colname="col2">0.026</oasis:entry>

         <oasis:entry colname="col3">6.67</oasis:entry>

       </oasis:row>
       <oasis:row>

         <oasis:entry colname="col2">0.023</oasis:entry>

         <oasis:entry colname="col3">5.82</oasis:entry>

       </oasis:row>
       <oasis:row>

         <oasis:entry colname="col2">0.023</oasis:entry>

         <oasis:entry colname="col3">5.82</oasis:entry>

       </oasis:row>
       <oasis:row>

         <oasis:entry colname="col2">0.021</oasis:entry>

         <oasis:entry colname="col3">5.25</oasis:entry>

       </oasis:row>
     </oasis:tbody>
   </oasis:tgroup></oasis:table><table-wrap-foot><p id="d2e5198"><sup>a</sup> The dilution rates of samples were 20-fold for those from off Cape Esan and Funka Bay, 50-fold for those from Hakodate Bay, and 100-fold for those from off Muroran. <sup>b</sup> Due to the amount of sediment collected, the number of samples was two (<inline-formula><mml:math id="M363" display="inline"><mml:mrow><mml:mi>n</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:math></inline-formula>).</p></table-wrap-foot></table-wrap>

</sec>
<sec id="Ch1.S3.SS4">
  <label>3.4</label><title>Reduction in amount of alginate after enzymatic degradation</title>
      <p id="d2e5488">In Sect. 3.3, we demonstrated that a fraction of the uronic acids derived from phytoplankton remained after applying the modified extraction protocol. To confirm that the uronic acids present in the extract solution originated from alginate, we evaluated changes in uronic acid content following enzymatic degradation with alginate lyase.</p>
      <p id="d2e5491">The Na<sup>+</sup>-Alg concentration in the extract solution decreased from 18.11–18.67 <inline-formula><mml:math id="M368" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi></mml:mrow></mml:math></inline-formula>g mL<sup>−1</sup> (without enzyme) to 11.81–12.37 <inline-formula><mml:math id="M370" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi></mml:mrow></mml:math></inline-formula> g mL<sup>−1</sup> after enzymatic treatment (Table 7). A similar reduction was observed for the Na<sup>+</sup>-Alg standard solution, which decreased from 2.23 to 0.32 <inline-formula><mml:math id="M373" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi></mml:mrow></mml:math></inline-formula>g mL<sup>−1</sup> upon alginate lyase treatment. These results demonstrate that alginate present in both the extract and the standard solutions was effectively degraded by the enzyme, thereby supporting the presence of alginate in the extracted material.</p>
      <p id="d2e5573">However, the extract solution retained relatively high Na<sup>+</sup>-Alg concentrations (11.81–12.37 <inline-formula><mml:math id="M376" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi></mml:mrow></mml:math></inline-formula>g mL<sup>−1</sup>) even after enzymatic treatment. This result suggests that the bleaching treatment was insufficient to completely remove polyphenols, which may have interfered with alginate lyase activity. In addition, the absorbance of the water sample treated with alginate lyase was 0.004, indicating that residual enzyme in the measurement sample contributed slightly to the colorimetric reading; however, this effect was considered negligible. Taken together, these findings indicate that the organic matter extracted from ocean sediments using the modified protocol contained alginate, accounting for at least 34 % of the detected uronic acids.</p>
</sec>
<sec id="Ch1.S3.SS5">
  <label>3.5</label><title>Amount of alginate in the surface of ocean sediment in a coastal subarctic area</title>
      <p id="d2e5614">The modified extraction protocol was applied to the ocean sediment samples (300 g) collected from the surface 0–1 cm depth in the coastal area around southern Hokkaido, Japan (Fig. 1). Abundant alginate was detected in all extracted samples, with values of 0.55–6.67 mg 300 g<sup>−1</sup> (alginate/wet weight of sediment; Table 8). In Funka Bay, alginate concentrations were 0.55–2.34 mg 300 g<sup>−1</sup>, corresponding to 6.11–26.0 mg m<sup>−2</sup> (alginate/surface sediment area) during the sampling period from August to December 2024. In Hakodate Bay and off Cape Esan, concentrations were 3.51–3.72 mg 300 g<sup>−1</sup> (39.0–41.3 mg m<sup>−2</sup>), and 1.06–1.32 mg 300 g<sup>−1</sup> (11.8–14.7 mg m<sup>−2</sup>), respectively, during June 2024. Off Muroran, concentrations were 5.25–6.67 mg 300 g<sup>−1</sup> (corresponding to 58.3–74.1 mg m<sup>−2</sup>) during February 2025. However, given that the extract solution may contain a fraction of phytoplankton-derived uronic acids and that confirmed alginate accounted for at least 34 % of the total, these detected values should be interpreted with caution rather than being directly equated with absolute alginate content.</p>
</sec>
</sec>
<sec id="Ch1.S4" sec-type="conclusions">
  <label>4</label><title>Conclusions</title>
      <p id="d2e5736">In this study, we developed a novel extraction protocol for alginate in marine sediments, based on a conventional method used in food chemistry, and evaluated its applicability for quantitative analysis. We modified two key aspects – the addition of EDTA-2Na and the omission of ethanol precipitation – to improve the extraction efficiency of alginate from marine sediments. Spike recovery tests with Na<sup>+</sup>-Alg (200, 100, and 50 mg) demonstrated substantially higher recoveries (64.7 %–82.6 %) by using the modified protocol than with the conventional method (38.7 %). To assess potential interference from non-alginate polyuronic acids, such as those derived from phytoplankton, phytoplankton aggregates were subjected to the modified protocol. Although most of the interference was effectively eliminated, the minor amounts of uronic acids were detected, corresponding to 23 % of the estimated alginate content in marine sediments at the same site. To confirm that the uronic acids in marine sediments extracts originated from alginate, an enzymatic degradation test using alginate lyase was performed on the natural extracts. The uronic acid concentration decreased following enzymatic degradation, confirming that a portion of the uronic acids (at least 34 %) was derived from alginate. Finally, the alginate content of marine sediments collected around southern Hokkaido, Japan, was quantified using the modified protocol. Alginate concentrations were 6.11–26.0 mg m<sup>−2</sup> in Funka Bay (August–December 2024), 39.0–41.3 mg m<sup>−2</sup> in Hakodate Bay (June 2024), 11.8–14.7 mg m<sup>−2</sup> off Cape Esan (June 2024), and 58.3–74.1 mg m<sup>−2</sup> off Muroran (February 2025). These findings demonstrate the establishment of a quantification method for alginate in marine sediments and provide an initial application to the surface sediments of the target area.</p>
</sec>

      
      </body>
    <back><notes notes-type="dataavailability"><title>Data availability</title>

      <p id="d2e5800">The dataset supporting this study is available on Zenodo at <ext-link xlink:href="https://doi.org/10.5281/zenodo.19484055" ext-link-type="DOI">10.5281/zenodo.19484055</ext-link> (Nakazato, 2026).</p>
  </notes><app-group>
        <supplementary-material position="anchor"><p id="d2e5806">The supplement related to this article is available online at <inline-supplementary-material xlink:href="https://doi.org/10.5194/bg-23-2747-2026-supplement" xlink:title="pdf">https://doi.org/10.5194/bg-23-2747-2026-supplement</inline-supplementary-material>.</p></supplementary-material>
        </app-group><notes notes-type="authorcontribution"><title>Author contributions</title>

      <p id="d2e5815">SN designed the extraction protocol and conducted the experiments. AO designed the research and conducted the observations. TK and RI assisted with the experiments. SA, AI, MF, HK, and MN provided advice on the research. SN and AO prepared the manuscript with contributions from all co-authors.</p>
  </notes><notes notes-type="competinginterests"><title>Competing interests</title>

      <p id="d2e5821">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="d2e5827">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="d2e5833">We thank the captains and crews of T/S Ushiomaru and Oshoro-maru (Hokkaido University).</p></ack><notes notes-type="financialsupport"><title>Financial support</title>

      <p id="d2e5838">This research was supported by the Hokusui Society Foundation (Sapporo, Japan) and the Regional University and Local Industrial Vitalization Grant Project, Hakodate City, funded by the Cabinet Office, Japan (March 2022).</p>
  </notes><notes notes-type="reviewstatement"><title>Review statement</title>

      <p id="d2e5844">This paper was edited by Olivier Sulpis and reviewed by two anonymous referees.</p>
  </notes><ref-list>
    <title>References</title>

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