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<!DOCTYPE article PUBLIC "-//NLM//DTD Journal Publishing with OASIS Tables v3.0 20080202//EN" "https://jats.nlm.nih.gov/nlm-dtd/publishing/3.0/journalpub-oasis3.dtd">
<article xmlns:xlink="http://www.w3.org/1999/xlink" xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:oasis="http://docs.oasis-open.org/ns/oasis-exchange/table" xml:lang="en" dtd-version="3.0" article-type="research-article"><?xmltex \bartext{Research article}?>
  <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-20-3625-2023</article-id><title-group><article-title>Fractionation of stable carbon isotopes during microbial propionate consumption in anoxic rice paddy soils</article-title><alt-title>Fractionation of stable carbon isotopes</alt-title>
      </title-group><?xmltex \runningtitle{Fractionation of stable carbon isotopes}?><?xmltex \runningauthor{R.~Conrad~and~P.~Claus}?>
      <contrib-group>
        <contrib contrib-type="author" corresp="yes">
          <name><surname>Conrad</surname><given-names>Ralf</given-names></name>
          <email>conrad@mpi-marburg.mpg.de</email>
        <ext-link>https://orcid.org/0000-0001-9132-9749</ext-link></contrib>
        <contrib contrib-type="author" corresp="no">
          <name><surname>Claus</surname><given-names>Peter</given-names></name>
          
        </contrib>
        <aff id="aff1"><institution>Max Planck Institute for Terrestrial Microbiology, Karl-von-Frisch-Str. 10, 35043 Marburg, Germany</institution>
        </aff>
      </contrib-group>
      <author-notes><corresp id="corr1">Ralf Conrad (conrad@mpi-marburg.mpg.de)</corresp></author-notes><pub-date><day>31</day><month>August</month><year>2023</year></pub-date>
      
      <volume>20</volume>
      <issue>17</issue>
      <fpage>3625</fpage><lpage>3635</lpage>
      <history>
        <date date-type="received"><day>13</day><month>February</month><year>2023</year></date>
           <date date-type="accepted"><day>31</day><month>July</month><year>2023</year></date>
           <date date-type="rev-recd"><day>24</day><month>July</month><year>2023</year></date>
           <date date-type="rev-request"><day>14</day><month>February</month><year>2023</year></date>
      </history>
      <permissions>
        <copyright-statement>Copyright: © 2023 Ralf Conrad</copyright-statement>
        <copyright-year>2023</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/20/3625/2023/bg-20-3625-2023.html">This article is available from https://bg.copernicus.org/articles/20/3625/2023/bg-20-3625-2023.html</self-uri><self-uri xlink:href="https://bg.copernicus.org/articles/20/3625/2023/bg-20-3625-2023.pdf">The full text article is available as a PDF file from https://bg.copernicus.org/articles/20/3625/2023/bg-20-3625-2023.pdf</self-uri>
      <abstract><title>Abstract</title>

      <p id="d1e88">Propionate is an important intermediate during the breakdown of organic matter in anoxic flooded paddy soils. Since there are only a few experiments
on carbon isotope fractionation and the magnitude of the isotopic enrichment factors (<inline-formula><mml:math id="M1" display="inline"><mml:mi mathvariant="italic">ε</mml:mi></mml:math></inline-formula>) involved, we measured propionate conversion
to acetate, <inline-formula><mml:math id="M2" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CH</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M3" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> in anoxic paddy soils. Propionate consumption was measured using samples of paddy soil from Vercelli
(Italy) and the International Rice Research Institute (IRRI, the Philippines) suspended in a phosphate buffer (pH 7.0) both in the absence and
presence of sulfate (gypsum) and of methyl fluoride (<inline-formula><mml:math id="M4" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CH</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub><mml:mi mathvariant="normal">F</mml:mi></mml:mrow></mml:math></inline-formula>), an inhibitor of aceticlastic methanogenesis. Under methanogenic conditions,
propionate was eventually degraded to <inline-formula><mml:math id="M5" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CH</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>, with acetate being a transient intermediate. Butyrate was also a minor intermediate. Methane was
mainly produced by aceticlastic methanogenesis. Propionate consumption was inhibited by <inline-formula><mml:math id="M6" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CH</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub><mml:mi mathvariant="normal">F</mml:mi></mml:mrow></mml:math></inline-formula>. Butyrate and <inline-formula><mml:math id="M7" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CH</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> were <inline-formula><mml:math id="M8" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">13</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula>-depleted relative to propionate, whereas acetate and <inline-formula><mml:math id="M9" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> were <inline-formula><mml:math id="M10" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">13</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula>-enriched. The isotopic enrichment factors
(<inline-formula><mml:math id="M11" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">ε</mml:mi><mml:mi mathvariant="normal">prop</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>) of propionate consumption, determined by Mariotti plots, were in a range of <inline-formula><mml:math id="M12" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>8 ‰ to <inline-formula><mml:math id="M13" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>3.5 ‰. Under
sulfidogenic conditions, acetate was also transiently accumulated, but <inline-formula><mml:math id="M14" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CH</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> production was negligible. Application of <inline-formula><mml:math id="M15" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CH</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub><mml:mi mathvariant="normal">F</mml:mi></mml:mrow></mml:math></inline-formula> hardly
affected propionate degradation and acetate accumulation. The initially produced <inline-formula><mml:math id="M16" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> was <inline-formula><mml:math id="M17" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">13</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula>-depleted, whereas the acetate was
<inline-formula><mml:math id="M18" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">13</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula>-enriched. The values of <inline-formula><mml:math id="M19" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">ε</mml:mi><mml:mi mathvariant="normal">prop</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> were <inline-formula><mml:math id="M20" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>3.5 ‰. It is concluded that the degradation of organic carbon via
propionate to acetate and <inline-formula><mml:math id="M21" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> involves only a little isotope fractionation. The results further indicate a major contribution of
<italic>Syntrophobacter</italic>-type propionate fermentation under sulfidogenic conditions and <italic>Smithella</italic>-type propionate fermentation under
methanogenic conditions. This interpretation is consistent with data  regarding the microbial community composition published previously for the same soils.</p>
  </abstract>
    
<funding-group>
<award-group id="gs1">
<funding-source>Fonds der Chemischen Industrie</funding-source>
<award-id>163468</award-id>
</award-group>
</funding-group>
</article-meta>
  </front>
<body>
      

<sec id="Ch1.S1" sec-type="intro">
  <label>1</label><title>Introduction</title>
      <p id="d1e334">Propionate is a common intermediate of organic matter degradation in anoxic paddy soils. In the absence of sulfate reduction or methanogenesis,
propionate may accumulate to millimolar concentrations (Conrad et al., 2014; Glissmann and Conrad, 2000; Nozoe, 1997). Under methanogenic conditions,
propionate is degraded by fermentation. Several different biochemical pathways are conceivable for propionate fermentation (Textor et al., 1997). The
major fermentation pathways are those by <italic>Syntrophobacter</italic> (Boone and Bryant, 1980) and <italic>Smithella</italic> (Liu et al., 1999), both members of
Deltaproteobacteria. <italic>Syntrophobacter</italic> operates the methylmalonyl-CoA pathway, which results in randomization of the carbon positions of
propionate (Houwen et al., 1991). This pathway can also be found in <italic>Desulfotomaculum</italic> sp. and <italic>Pelotomaculum</italic> sp. (Chen et al., 2005;
DeBok et al., 2005; Imachi et al., 2002; Plugge et al., 2002) and apparently exists in many anoxic environments (Imachi et al., 2006; Krylova et al.,
1997; Schink, 1985). <italic>Smithella</italic>, on the other hand, operates a dismutation pathway, which does not result in randomization (DeBok et al.,
2001). This pathway has also been found in many anoxic environments (Gan et al., 2012; Lueders et al., 2004; Xia et al., 2019).</p>
      <p id="d1e356">Propionate degradation by randomizing <italic>Syntrophobacter</italic> proceeds via succinate in the following way:
          <disp-formula id="Ch1.E1" content-type="numbered"><label>1</label><mml:math id="M22" display="block"><mml:mrow><mml:mn mathvariant="normal">4</mml:mn><mml:mtext> propionate </mml:mtext><mml:mo>+</mml:mo><mml:mn mathvariant="normal">8</mml:mn><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">H</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow><mml:mo>→</mml:mo><mml:mn mathvariant="normal">4</mml:mn><mml:mtext> acetate </mml:mtext><mml:mo>+</mml:mo><mml:mn mathvariant="normal">4</mml:mn><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow><mml:mo>+</mml:mo><mml:mn mathvariant="normal">12</mml:mn><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">H</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow><mml:mo>.</mml:mo></mml:mrow></mml:math></disp-formula></p>
      <?pagebreak page3626?><p id="d1e412">Propionate degradation by non-randomizing <italic>Smithella</italic> proceeds by dismutation of propionate:
          <disp-formula id="Ch1.E2" content-type="numbered"><label>2</label><mml:math id="M23" display="block"><mml:mrow><mml:mn mathvariant="normal">4</mml:mn><mml:mtext> propionate </mml:mtext><mml:mo>→</mml:mo><mml:mn mathvariant="normal">2</mml:mn><mml:mtext> butyrate </mml:mtext><mml:mo>+</mml:mo><mml:mn mathvariant="normal">2</mml:mn><mml:mtext> acetate</mml:mtext><mml:mo>.</mml:mo></mml:mrow></mml:math></disp-formula></p>
      <p id="d1e441">Butyrate is then syntrophically converted (e.g., by <italic>Syntrophomonas</italic>; McInerney et al., 1981):
          <disp-formula id="Ch1.E3" content-type="numbered"><label>3</label><mml:math id="M24" display="block"><mml:mrow><mml:mn mathvariant="normal">2</mml:mn><mml:mtext> butyrate </mml:mtext><mml:mo>+</mml:mo><mml:mn mathvariant="normal">4</mml:mn><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">H</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow><mml:mo>→</mml:mo><mml:mn mathvariant="normal">4</mml:mn><mml:mtext> acetate </mml:mtext><mml:mo>+</mml:mo><mml:mrow class="chem"><mml:mn mathvariant="normal">4</mml:mn><mml:msub><mml:mi mathvariant="normal">H</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow><mml:mo>.</mml:mo></mml:mrow></mml:math></disp-formula></p>
      <p id="d1e487">The <italic>Smithella</italic> pathway, in total, is then
          <disp-formula id="Ch1.E4" content-type="numbered"><label>4</label><mml:math id="M25" display="block"><mml:mrow><mml:mn mathvariant="normal">4</mml:mn><mml:mtext> propionate </mml:mtext><mml:mo>+</mml:mo><mml:mn mathvariant="normal">4</mml:mn><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">H</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow><mml:mo>→</mml:mo><mml:mn mathvariant="normal">6</mml:mn><mml:mtext> acetate </mml:mtext><mml:mo>+</mml:mo><mml:mn mathvariant="normal">4</mml:mn><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">H</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow><mml:mo>.</mml:mo></mml:mrow></mml:math></disp-formula></p>
      <p id="d1e533">Propionate fermentation is thermodynamically endergonic under standard conditions and therefore requires syntrophic microbial partners that further
convert the fermentation products. Under methanogenic conditions, the syntrophic partners are methanogenic archaea, which consume the products acetate
and <inline-formula><mml:math id="M26" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">H</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>. Under sulfidogenic conditions, sulfate-reducing bacteria replace the methanogens. Propionate can also be directly oxidized to
<inline-formula><mml:math id="M27" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> by propionate-degrading sulfate reducers. The overall reaction stoichiometry is the same for <italic>Syntrophobacter</italic> and
<italic>Smithella</italic>:

              <disp-formula specific-use="gather" content-type="numbered"><mml:math id="M28" display="block"><mml:mtable displaystyle="true"><mml:mlabeledtr id="Ch1.E5"><mml:mtd><mml:mtext>5</mml:mtext></mml:mtd><mml:mtd><mml:mrow><mml:mstyle displaystyle="true" class="stylechange"/><mml:mn mathvariant="normal">4</mml:mn><mml:mtext> propionate </mml:mtext><mml:mo>+</mml:mo><mml:mn mathvariant="normal">2</mml:mn><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">H</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow><mml:mo>→</mml:mo><mml:mn mathvariant="normal">7</mml:mn><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CH</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:mrow><mml:mo>+</mml:mo><mml:mn mathvariant="normal">5</mml:mn><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow><mml:mo>,</mml:mo><mml:mtext> or</mml:mtext></mml:mrow></mml:mtd></mml:mlabeledtr><mml:mlabeledtr id="Ch1.E6"><mml:mtd><mml:mtext>6</mml:mtext></mml:mtd><mml:mtd><mml:mrow><mml:mstyle class="stylechange" displaystyle="true"/><mml:mtable class="split" rowspacing="0.2ex" displaystyle="true" columnalign="right left"><mml:mtr><mml:mtd><mml:mrow><mml:mn mathvariant="normal">4</mml:mn><mml:mtext> propionate </mml:mtext></mml:mrow></mml:mtd><mml:mtd><mml:mrow><mml:mo>+</mml:mo><mml:mn mathvariant="normal">7</mml:mn><mml:mtext> sulfate </mml:mtext><mml:mo>+</mml:mo><mml:mn mathvariant="normal">11</mml:mn><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="normal">H</mml:mi><mml:mo>+</mml:mo></mml:msup></mml:mrow><mml:mo>→</mml:mo><mml:mn mathvariant="normal">7</mml:mn><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="normal">HS</mml:mi><mml:mo>-</mml:mo></mml:msup></mml:mrow></mml:mrow></mml:mtd></mml:mtr><mml:mtr><mml:mtd/><mml:mtd><mml:mrow><mml:mo>+</mml:mo><mml:mn mathvariant="normal">12</mml:mn><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow><mml:mo>+</mml:mo><mml:mn mathvariant="normal">12</mml:mn><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">H</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow><mml:mo>.</mml:mo></mml:mrow></mml:mtd></mml:mtr></mml:mtable></mml:mrow></mml:mtd></mml:mlabeledtr></mml:mtable></mml:math></disp-formula></p>
      <p id="d1e688">Note that the relative production of acetate and <inline-formula><mml:math id="M29" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">H</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> is different for <italic>Syntrophobacter</italic> and <italic>Smithella</italic> fermentation, being
<inline-formula><mml:math id="M30" display="inline"><mml:mrow><mml:mn mathvariant="normal">1</mml:mn><mml:mo>:</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M31" display="inline"><mml:mrow><mml:mn mathvariant="normal">3</mml:mn><mml:mo>:</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:math></inline-formula>, respectively. Therefore, aceticlastic methanogenesis contributes relatively more than hydrogenotrophic methanogenesis when
propionate is fermented by <italic>Smithella</italic> rather than <italic>Syntrophobacter</italic>. Under methanogenic conditions, propionate degradation in anoxic
paddy soils operates close to the thermodynamic limits (Krylova and Conrad, 1998; Yao and Conrad, 2001). These restrictions are more severe for
<italic>Syntrophobacter</italic> than for <italic>Smithella</italic> (Dolfing, 2013).</p>
      <p id="d1e745">Using paddy soil from Italy and the Philippines, Liu and their coworkers (Liu et al., 2018a; Liu and Conrad, 2017) have recently shown that propionate
consumption under sulfidogenic conditions is mainly achieved by <italic>Syntrophobacter</italic> species or other Syntrophobacteraceae, which first oxidize
propionate to acetate and <inline-formula><mml:math id="M32" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> and subsequently oxidize the accumulated acetate to <inline-formula><mml:math id="M33" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>. They also showed that <italic>Smithella</italic>
was probably involved in methanogenic propionate degradation. The involvement of <italic>Smithella</italic> has also been shown for other paddy soils and
sediments (Gan et al., 2012; Lueders et al., 2004; Xia et al., 2019). Since we used in the present study the same soils as Liu and their coworkers (Liu
et al., 2018a; Liu and Conrad, 2017), we assumed that propionate degradation was achieved by the same microorganisms.</p>
      <p id="d1e779">Knowledge of carbon isotope fractionation is important for the assessment of the pathways involved in anaerobic degradation of organic matter (Conrad,
2005; Elsner et al., 2005). The <inline-formula><mml:math id="M34" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">13</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula> values of organic carbon, acetate and propionate in various soils and sediments were found to be
similar (Conrad et al., 2014). The similarity indicates that the enrichment factors (<inline-formula><mml:math id="M35" display="inline"><mml:mi mathvariant="italic">ε</mml:mi></mml:math></inline-formula>) of the processes involved in both the production and
consumption of propionate are probably small. The direct determination of <inline-formula><mml:math id="M36" display="inline"><mml:mi mathvariant="italic">ε</mml:mi></mml:math></inline-formula> values in microbial cultures of one propionate-producing bacterium and
one propionate-consuming bacterium also showed low values (Botsch and Conrad, 2011). However, direct determination of <inline-formula><mml:math id="M37" display="inline"><mml:mi mathvariant="italic">ε</mml:mi></mml:math></inline-formula> values in
environmental samples is missing. Therefore, we decided to measure isotope fractionation in methanogenic and sulfidogenic paddy soil amended with
propionate along with the recording of the production of acetate, <inline-formula><mml:math id="M38" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CH</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M39" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>. We also used the treatment with methyl fluoride
(<inline-formula><mml:math id="M40" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CH</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub><mml:mi mathvariant="normal">F</mml:mi></mml:mrow></mml:math></inline-formula>) to inhibit the consumption of acetate by methanogenic archaea (Janssen and Frenzel, 1997). Recently, we determined the microbial
communities in methanogenic and sulfidogenic rice field soils, which were used for the assessment of <inline-formula><mml:math id="M41" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">13</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula> isotope fractionation during acetate
consumption (Conrad et al., 2021). Here, we present analogous data from the same soil suspensions prepared for the propionate degradation experiments.</p>
</sec>
<sec id="Ch1.S2">
  <label>2</label><title>Materials and methods</title>
<sec id="Ch1.S2.SS1">
  <label>2.1</label><title>Paddy soils and incubation conditions</title>
      <p id="d1e879">The soil samples were from the research stations in Vercelli, Italy, and the International Rice research Institute (IRRI) in the Philippines. The sampling
and soil characteristics have been described before (Liu et al., 2018b). The main soil characteristics will be given. The Italian soil is a sandy loam with
a pH of 5.75, total <inline-formula><mml:math id="M42" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula> of 1.1 % and total <inline-formula><mml:math id="M43" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">N</mml:mi></mml:mrow></mml:math></inline-formula> of 0.08 %. The Philippine soil is a silt loam with a pH of 6.3, total <inline-formula><mml:math id="M44" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula>
of 1.9 % and total <inline-formula><mml:math id="M45" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">N</mml:mi></mml:mrow></mml:math></inline-formula> of 0.2 %.</p>
      <?pagebreak page3627?><p id="d1e914">The experimental setup was exactly the same as during a previous study on acetate consumption (Conrad et al., 2021). Paddy soil was mixed with
autoclaved anoxic <inline-formula><mml:math id="M46" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">H</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula> at a ratio of <inline-formula><mml:math id="M47" display="inline"><mml:mrow><mml:mn mathvariant="normal">1</mml:mn><mml:mo>:</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:math></inline-formula> and incubated under <inline-formula><mml:math id="M48" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> at 25 <inline-formula><mml:math id="M49" display="inline"><mml:mrow class="unit"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula> for 4 weeks. In a second incubation,
paddy soil was mixed with autoclaved anoxic <inline-formula><mml:math id="M50" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">H</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula> (prepared under <inline-formula><mml:math id="M51" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>) at a ratio of <inline-formula><mml:math id="M52" display="inline"><mml:mrow><mml:mn mathvariant="normal">1</mml:mn><mml:mo>:</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:math></inline-formula>, was amended with 0.07 <inline-formula><mml:math id="M53" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">g</mml:mi></mml:mrow></mml:math></inline-formula>
<inline-formula><mml:math id="M54" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CaSO</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M55" display="inline"><mml:mo>⋅</mml:mo></mml:math></inline-formula> 2<inline-formula><mml:math id="M56" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">H</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula>  and was then incubated under <inline-formula><mml:math id="M57" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> at 25 <inline-formula><mml:math id="M58" display="inline"><mml:mrow class="unit"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula> for 4 weeks. These
two preincubated soil slurries were sampled and stored at <inline-formula><mml:math id="M59" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>20 <inline-formula><mml:math id="M60" display="inline"><mml:mrow class="unit"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula> for later molecular analysis (see data in Conrad et al., 2021). The
preincubated soil slurries were also used (in three replicates) for the following incubation experiments. Two different sets of incubations were
prepared. In the first set (resulting in methanogenic conditions), 5 <inline-formula><mml:math id="M61" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">mL</mml:mi></mml:mrow></mml:math></inline-formula> of soil slurry preincubated without sulfate was incubated at
25 <inline-formula><mml:math id="M62" display="inline"><mml:mrow class="unit"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula> with 40 <inline-formula><mml:math id="M63" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">mL</mml:mi></mml:mrow></mml:math></inline-formula> of 20 <inline-formula><mml:math id="M64" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">mM</mml:mi></mml:mrow></mml:math></inline-formula> potassium phosphate buffer (pH 7.0) in a 150 <inline-formula><mml:math id="M65" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">mL</mml:mi></mml:mrow></mml:math></inline-formula> bottle under an atmosphere
of <inline-formula><mml:math id="M66" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>. The bottles were then amended with (i) 5 <inline-formula><mml:math id="M67" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">mL</mml:mi></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M68" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">H</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula>, (ii) 5 <inline-formula><mml:math id="M69" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">mL</mml:mi></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M70" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">H</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M71" display="inline"><mml:mo>+</mml:mo></mml:math></inline-formula> 4.5 <inline-formula><mml:math id="M72" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">mL</mml:mi></mml:mrow></mml:math></inline-formula>
<inline-formula><mml:math id="M73" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CH</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub><mml:mi mathvariant="normal">F</mml:mi></mml:mrow></mml:math></inline-formula>, (iii) 5 <inline-formula><mml:math id="M74" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">mL</mml:mi></mml:mrow></mml:math></inline-formula> 50 <inline-formula><mml:math id="M75" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">mM</mml:mi></mml:mrow></mml:math></inline-formula> sodium propionate, and (iv) 5 <inline-formula><mml:math id="M76" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">mL</mml:mi></mml:mrow></mml:math></inline-formula> 50 <inline-formula><mml:math id="M77" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">mM</mml:mi></mml:mrow></mml:math></inline-formula> sodium propionate <inline-formula><mml:math id="M78" display="inline"><mml:mo>+</mml:mo></mml:math></inline-formula> 4.5 <inline-formula><mml:math id="M79" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">mL</mml:mi></mml:mrow></mml:math></inline-formula>
<inline-formula><mml:math id="M80" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CH</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub><mml:mi mathvariant="normal">F</mml:mi></mml:mrow></mml:math></inline-formula>. In the second set (resulting in sulfidogenic conditions), 5 <inline-formula><mml:math id="M81" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">mL</mml:mi></mml:mrow></mml:math></inline-formula> of soil slurry preincubated with sulfate was incubated at
25 <inline-formula><mml:math id="M82" display="inline"><mml:mrow class="unit"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula> with 40 <inline-formula><mml:math id="M83" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">mL</mml:mi></mml:mrow></mml:math></inline-formula> of 20 <inline-formula><mml:math id="M84" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">mM</mml:mi></mml:mrow></mml:math></inline-formula> potassium phosphate buffer (pH 7.0) in a 150 <inline-formula><mml:math id="M85" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">mL</mml:mi></mml:mrow></mml:math></inline-formula> bottle under an atmosphere
of <inline-formula><mml:math id="M86" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>. The amendments were the same as above but with the addition of 200 <inline-formula><mml:math id="M87" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi><mml:mi mathvariant="normal">l</mml:mi></mml:mrow></mml:math></inline-formula> of a <inline-formula><mml:math id="M88" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CaSO</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> suspension corresponding to a
concentration of 2.5 <inline-formula><mml:math id="M89" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">M</mml:mi></mml:mrow></mml:math></inline-formula> (giving a final concentration of 10 <inline-formula><mml:math id="M90" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">mM</mml:mi></mml:mrow></mml:math></inline-formula> sulfate).</p>
</sec>
<sec id="Ch1.S2.SS2">
  <label>2.2</label><title>Chemical and isotopic analyses</title>
      <p id="d1e1374">Gas samples for analysis of partial pressures of <inline-formula><mml:math id="M91" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CH</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M92" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> were taken from the headspace of the incubation bottles after
vigorous manual shaking for about 30 <inline-formula><mml:math id="M93" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">s</mml:mi></mml:mrow></mml:math></inline-formula> using a gas-tight pressure-lock syringe, which had been flushed with <inline-formula><mml:math id="M94" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> before each
sampling. Soil slurries were sampled, centrifuged and filtered through a 0.2 <inline-formula><mml:math id="M95" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:math></inline-formula> cellulose membrane filter and were stored frozen at
<inline-formula><mml:math id="M96" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>20 <inline-formula><mml:math id="M97" display="inline"><mml:mrow class="unit"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula> for later fatty acid analysis. Chemical and isotopic analyses were performed as described in detail previously (Goevert and
Conrad, 2009). Methane was analyzed by gas chromatography (GC) with a flame ionization detector. Carbon dioxide was analyzed after conversion
to <inline-formula><mml:math id="M98" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CH</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> with a <inline-formula><mml:math id="M99" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">Ni</mml:mi></mml:mrow></mml:math></inline-formula> catalyst. Stable isotope analyses of <inline-formula><mml:math id="M100" display="inline"><mml:mrow><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">13</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow><mml:mo>/</mml:mo><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">12</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:mrow></mml:math></inline-formula> in gas samples were performed using GC-combustion
isotope ratio mass spectrometry (GC-C-IRMS). Propionate, butyrate and acetate were measured using high-performance liquid chromatography (HPLC) linked
via a Finnigan LC IsoLink to an IRMS. The isotopic values are reported in the delta notation (<inline-formula><mml:math id="M101" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">13</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula>) relative to the Vienna PeeDee
Belemnite standard with a <inline-formula><mml:math id="M102" display="inline"><mml:mrow><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">13</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow><mml:mo>/</mml:mo><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">12</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:mrow></mml:math></inline-formula> ratio (<inline-formula><mml:math id="M103" display="inline"><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mtext>standard</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula>) of 0.01118: <inline-formula><mml:math id="M104" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">13</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M105" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> <inline-formula><mml:math id="M106" display="inline"><mml:mrow><mml:msup><mml:mn mathvariant="normal">10</mml:mn><mml:mn mathvariant="normal">3</mml:mn></mml:msup><mml:mo>(</mml:mo><mml:msub><mml:mi>R</mml:mi><mml:mtext>sample</mml:mtext></mml:msub><mml:mo>/</mml:mo><mml:msub><mml:mi>R</mml:mi><mml:mtext>standard</mml:mtext></mml:msub><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula>. The precision of the GC-C-IRMS was <inline-formula><mml:math id="M107" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.2 ‰, and that of the HPLC-IRMS was <inline-formula><mml:math id="M108" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.3 ‰.</p>
</sec>
<sec id="Ch1.S2.SS3">
  <label>2.3</label><title>Calculations</title>
      <p id="d1e1610">Millimolar concentrations of <inline-formula><mml:math id="M109" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CH</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> were calculated from the mixing ratios (1 <inline-formula><mml:math id="M110" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">ppmv</mml:mi></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M111" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 10<inline-formula><mml:math id="M112" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">6</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> <inline-formula><mml:math id="M113" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">bar</mml:mi></mml:mrow></mml:math></inline-formula>) measured in the gas
phase of the incubation bottles: 1000 <inline-formula><mml:math id="M114" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">ppmv</mml:mi></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M115" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CH</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> correspond to 0.09 <inline-formula><mml:math id="M116" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi><mml:mi mathvariant="normal">mol</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">mL</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>  of liquid. Note that this is the total amount of <inline-formula><mml:math id="M117" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CH</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>
in the gas phase relative to the liquid phase.</p>
      <p id="d1e1709">Fractionation factors for reaction A <inline-formula><mml:math id="M118" display="inline"><mml:mo>→</mml:mo></mml:math></inline-formula> B are defined after Hayes (Hayes, 1993) as follows:
            <disp-formula id="Ch1.E7" content-type="numbered"><label>7</label><mml:math id="M119" display="block"><mml:mrow><mml:msub><mml:mi mathvariant="italic">α</mml:mi><mml:mrow><mml:mi mathvariant="normal">A</mml:mi><mml:mo>/</mml:mo><mml:mi mathvariant="normal">B</mml:mi></mml:mrow></mml:msub><mml:mo>=</mml:mo><mml:mo>(</mml:mo><mml:msub><mml:mi mathvariant="italic">δ</mml:mi><mml:mi mathvariant="normal">A</mml:mi></mml:msub><mml:mo>+</mml:mo><mml:mn mathvariant="normal">1000</mml:mn><mml:mo>)</mml:mo><mml:mo>/</mml:mo><mml:mo>(</mml:mo><mml:msub><mml:mi mathvariant="italic">δ</mml:mi><mml:mi mathvariant="normal">B</mml:mi></mml:msub><mml:mo>+</mml:mo><mml:mn mathvariant="normal">1000</mml:mn><mml:mo>)</mml:mo><mml:mo>,</mml:mo></mml:mrow></mml:math></disp-formula>
          also expressed as <inline-formula><mml:math id="M120" display="inline"><mml:mi mathvariant="italic">ε</mml:mi></mml:math></inline-formula> <inline-formula><mml:math id="M121" display="inline"><mml:mo>≡</mml:mo></mml:math></inline-formula> <inline-formula><mml:math id="M122" display="inline"><mml:mrow><mml:mn mathvariant="normal">1000</mml:mn><mml:mo>(</mml:mo><mml:mn mathvariant="normal">1</mml:mn><mml:mo>-</mml:mo><mml:mi mathvariant="italic">α</mml:mi><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula> (in ‰). The carbon isotope enrichment factor <inline-formula><mml:math id="M123" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">ε</mml:mi><mml:mtext>prop</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula>
associated with propionate consumption was calculated from the temporal change in <inline-formula><mml:math id="M124" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">13</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula> of propionate as described by Mariotti
et al. (Mariotti et al., 1981) from the residual reactant
            <disp-formula id="Ch1.E8" content-type="numbered"><label>8</label><mml:math id="M125" display="block"><mml:mrow><mml:msub><mml:mi mathvariant="italic">δ</mml:mi><mml:mi mathvariant="normal">r</mml:mi></mml:msub><mml:mo>=</mml:mo><mml:msub><mml:mi mathvariant="italic">δ</mml:mi><mml:mtext>ri</mml:mtext></mml:msub><mml:mo>+</mml:mo><mml:mi mathvariant="italic">ε</mml:mi><mml:mo>[</mml:mo><mml:mtext>ln</mml:mtext><mml:mo>(</mml:mo><mml:mn mathvariant="normal">1</mml:mn><mml:mo>-</mml:mo><mml:mi>f</mml:mi><mml:mo>)</mml:mo><mml:mo>]</mml:mo><mml:mo>,</mml:mo></mml:mrow></mml:math></disp-formula>
          where <inline-formula><mml:math id="M126" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">δ</mml:mi><mml:mtext>ri</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> is the isotopic composition of the reactant (propionate) at the beginning, and <inline-formula><mml:math id="M127" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">δ</mml:mi><mml:mi mathvariant="normal">r</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> is the isotopic
composition of the residual propionate; both of these are indicated at the instant when <inline-formula><mml:math id="M128" display="inline"><mml:mi>f</mml:mi></mml:math></inline-formula> is determined. <inline-formula><mml:math id="M129" display="inline"><mml:mrow><mml:msub><mml:mi>f</mml:mi><mml:mtext>prop</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> is the fractional yield of the products based on
the consumption of propionate (<inline-formula><mml:math id="M130" display="inline"><mml:mrow><mml:mn mathvariant="normal">0</mml:mn><mml:mo>&lt;</mml:mo><mml:msub><mml:mi>f</mml:mi><mml:mtext>prop</mml:mtext></mml:msub><mml:mo>&lt;</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:math></inline-formula>). Linear regression of <inline-formula><mml:math id="M131" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">13</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula> of propionate against <inline-formula><mml:math id="M132" display="inline"><mml:mrow><mml:mtext>ln</mml:mtext><mml:mo>(</mml:mo><mml:mn mathvariant="normal">1</mml:mn><mml:mo>-</mml:mo><mml:mi>f</mml:mi><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula> yields
<inline-formula><mml:math id="M133" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">ε</mml:mi><mml:mtext>prop</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> as the slope of the best-fit lines. The regressions of <inline-formula><mml:math id="M134" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">13</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula> of propionate were done for data in the range of
<inline-formula><mml:math id="M135" display="inline"><mml:mrow><mml:msub><mml:mi>f</mml:mi><mml:mtext>prop</mml:mtext></mml:msub><mml:mo>&lt;</mml:mo><mml:mn mathvariant="normal">0.7</mml:mn></mml:mrow></mml:math></inline-formula>. The linear regressions were done individually for each experimental replicate (<inline-formula><mml:math id="M136" 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>) and were only accepted if <inline-formula><mml:math id="M137" display="inline"><mml:mrow><mml:msup><mml:mi>r</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msup><mml:mo>&gt;</mml:mo><mml:mn mathvariant="normal">0.9</mml:mn></mml:mrow></mml:math></inline-formula>. The <inline-formula><mml:math id="M138" display="inline"><mml:mi mathvariant="italic">ε</mml:mi></mml:math></inline-formula> values resulting from the replicate experiments were then averaged (<inline-formula><mml:math id="M139" display="inline"><mml:mo lspace="0mm">±</mml:mo></mml:math></inline-formula> SE).</p>
      <p id="d1e2038">The fraction (<inline-formula><mml:math id="M140" display="inline"><mml:mrow><mml:msub><mml:mi>f</mml:mi><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">H</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula>) of <inline-formula><mml:math id="M141" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CH</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> derived from hydrogenotrophic methanogenesis was determined as described before (Conrad et al., 2010)
using
            <disp-formula id="Ch1.E9" content-type="numbered"><label>9</label><mml:math id="M142" display="block"><mml:mtable rowspacing="0.2ex" class="split" displaystyle="true" columnalign="right left"><mml:mtr><mml:mtd><mml:mrow><mml:msub><mml:mi>f</mml:mi><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">H</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:msub><mml:mo>=</mml:mo></mml:mrow></mml:mtd><mml:mtd><mml:mrow><mml:mspace linebreak="nobreak" width="0.25em"/><mml:mo>(</mml:mo><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">13</mml:mn></mml:msup><mml:msub><mml:mi mathvariant="normal">C</mml:mi><mml:mrow><mml:msub><mml:mi mathvariant="normal">CH</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:mrow></mml:msub></mml:mrow><mml:mo>-</mml:mo><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">13</mml:mn></mml:msup><mml:msub><mml:mi mathvariant="normal">C</mml:mi><mml:mrow><mml:msub><mml:mi mathvariant="normal">CH</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub><mml:mo>-</mml:mo><mml:mi mathvariant="normal">ma</mml:mi></mml:mrow></mml:msub></mml:mrow><mml:mo>)</mml:mo><mml:mo>/</mml:mo></mml:mrow></mml:mtd></mml:mtr><mml:mtr><mml:mtd/><mml:mtd><mml:mrow><mml:mo>(</mml:mo><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">13</mml:mn></mml:msup><mml:msub><mml:mi mathvariant="normal">C</mml:mi><mml:mrow><mml:msub><mml:mi mathvariant="normal">CH</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub><mml:mo>-</mml:mo><mml:mi mathvariant="normal">mc</mml:mi></mml:mrow></mml:msub></mml:mrow><mml:mo>-</mml:mo><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">13</mml:mn></mml:msup><mml:msub><mml:mi mathvariant="normal">C</mml:mi><mml:mrow><mml:msub><mml:mi mathvariant="normal">CH</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub><mml:mo>-</mml:mo><mml:mi mathvariant="normal">ma</mml:mi></mml:mrow></mml:msub></mml:mrow><mml:mo>)</mml:mo><mml:mo>,</mml:mo></mml:mrow></mml:mtd></mml:mtr></mml:mtable></mml:math></disp-formula>
          where <inline-formula><mml:math id="M143" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">13</mml:mn></mml:msup><mml:msub><mml:mi mathvariant="normal">C</mml:mi><mml:mrow><mml:msub><mml:mi mathvariant="normal">CH</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M144" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> <inline-formula><mml:math id="M145" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">13</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula> of the total <inline-formula><mml:math id="M146" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CH</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> produced;
<inline-formula><mml:math id="M147" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">13</mml:mn></mml:msup><mml:msub><mml:mi mathvariant="normal">C</mml:mi><mml:mrow><mml:msub><mml:mi mathvariant="normal">CH</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub><mml:mo>-</mml:mo><mml:mi mathvariant="normal">mc</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M148" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> <inline-formula><mml:math id="M149" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">13</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula> of <inline-formula><mml:math id="M150" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CH</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> produced from hydrogenotrophic methanogenesis, which is equivalent to the
<inline-formula><mml:math id="M151" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CH</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> produced in the presence of <inline-formula><mml:math id="M152" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CH</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub><mml:mi mathvariant="normal">F</mml:mi></mml:mrow></mml:math></inline-formula>; and <inline-formula><mml:math id="M153" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">13</mml:mn></mml:msup><mml:msub><mml:mi mathvariant="normal">C</mml:mi><mml:mrow><mml:msub><mml:mi mathvariant="normal">CH</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub><mml:mo>-</mml:mo><mml:mi mathvariant="normal">ma</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M154" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> <inline-formula><mml:math id="M155" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">13</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula> of <inline-formula><mml:math id="M156" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CH</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> produced
from aceticlastic methanogenesis. The <inline-formula><mml:math id="M157" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">13</mml:mn></mml:msup><mml:msub><mml:mi mathvariant="normal">C</mml:mi><mml:mrow><mml:msub><mml:mi mathvariant="normal">CH</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub><mml:mo>-</mml:mo><mml:mi mathvariant="normal">ma</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula> was approximated from the <inline-formula><mml:math id="M158" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">13</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula> of acetate in the presence of
<inline-formula><mml:math id="M159" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CH</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub><mml:mi mathvariant="normal">F</mml:mi></mml:mrow></mml:math></inline-formula> assuming that the methyl group of acetate was depleted in <inline-formula><mml:math id="M160" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">13</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula> by 8 ‰ (Conrad et al., 2014) and that the enrichment
factor (<inline-formula><mml:math id="M161" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">ε</mml:mi><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CH</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub><mml:mo>,</mml:mo><mml:mi mathvariant="normal">ac</mml:mi><mml:mo>-</mml:mo><mml:mi mathvariant="normal">methyl</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula>) for <inline-formula><mml:math id="M162" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CH</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> being produced from acetate–methyl was between 0 and <inline-formula><mml:math id="M163" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>20 ‰.</p>

      <?xmltex \floatpos{p}?><fig id="Ch1.F1" specific-use="star"><?xmltex \currentcnt{1}?><?xmltex \def\figurename{Figure}?><label>Figure 1</label><caption><p id="d1e2477">Propionate conversion to acetate, butyrate, <inline-formula><mml:math id="M164" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CH</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M165" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> in suspensions of paddy soil from Vercelli (Italy) after addition of propionate without sulfate (blue squares) or of propionate plus sulfate (gypsum) (red triangles) without <inline-formula><mml:math id="M166" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CH</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub><mml:mi mathvariant="normal">F</mml:mi></mml:mrow></mml:math></inline-formula> (open symbols) or with <inline-formula><mml:math id="M167" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CH</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub><mml:mi mathvariant="normal">F</mml:mi></mml:mrow></mml:math></inline-formula> (closed symbols). Controls with the addition of water only (blue or red circles) are only shown occasionally. The panels show the temporal change in <bold>(a)</bold> concentrations of propionate, <bold>(b)</bold> concentrations of acetate and butyrate (blue diamonds), <bold>(c)</bold> mixing ratios of <inline-formula><mml:math id="M168" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CH</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> (1 <inline-formula><mml:math id="M169" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">ppmv</mml:mi></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M170" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> 10<inline-formula><mml:math id="M171" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">6</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> <inline-formula><mml:math id="M172" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">bar</mml:mi></mml:mrow></mml:math></inline-formula>), <bold>(d)</bold> mixing ratios of <inline-formula><mml:math id="M173" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>, <bold>(e)</bold> <inline-formula><mml:math id="M174" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">13</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula> of propionate, <bold>(f)</bold> <inline-formula><mml:math id="M175" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">13</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula> of acetate and butyrate, <bold>(g)</bold> <inline-formula><mml:math id="M176" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">13</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula> of <inline-formula><mml:math id="M177" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CH</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>, and <bold>(h)</bold> <inline-formula><mml:math id="M178" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">13</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula> of <inline-formula><mml:math id="M179" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>. Shown are the means <inline-formula><mml:math id="M180" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> SE (standard error).</p></caption>
          <?xmltex \igopts{width=421.100787pt}?><graphic xlink:href="https://bg.copernicus.org/articles/20/3625/2023/bg-20-3625-2023-f01.png"/>

        </fig>

      <?xmltex \floatpos{t}?><fig id="Ch1.F2" specific-use="star"><?xmltex \currentcnt{2}?><?xmltex \def\figurename{Figure}?><label>Figure 2</label><caption><p id="d1e2702">Balance of <bold>(a, c)</bold> produced <inline-formula><mml:math id="M181" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CH</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> and <bold>(b, d)</bold> produced acetate against the consumed propionate under <bold>(a, b)</bold> methanogenic and <bold>(c, d)</bold> sulfidogenic conditions in paddy soil from Vercelli (Italy). The open and closed symbols denote conditions in the absence and the presence of <inline-formula><mml:math id="M182" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CH</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub><mml:mi mathvariant="normal">F</mml:mi></mml:mrow></mml:math></inline-formula>, respectively. The black and red lines in <bold>(a)</bold> indicate aceticlastic methanogenesis after generation of acetate by either <italic>Smithella</italic> (Eq. 4) or <italic>Syntrophobacter</italic> (Eq. 1). The black and red lines in <bold>(b)</bold> and <bold>(d)</bold> indicate transient acetate production by <italic>Smithella</italic> and <italic>Syntrophobacter</italic>, respectively. The different symbols indicate three different replicates.</p></caption>
          <?xmltex \igopts{width=398.338583pt}?><graphic xlink:href="https://bg.copernicus.org/articles/20/3625/2023/bg-20-3625-2023-f02.png"/>

        </fig>

</sec>
</sec>
<sec id="Ch1.S3">
  <label>3</label><title>Results</title>
<sec id="Ch1.S3.SS1">
  <label>3.1</label><title>Conversion of propionate under methanogenic and sulfidogenic conditions</title>
      <?pagebreak page3629?><p id="d1e2786">Incubation of buffered suspensions of rice field soil from Vercelli (Fig. <xref ref-type="fig" rid="Ch1.F1"/>) and the IRRI (Fig. S1 in the Supplement) resulted in similar patterns of propionate degradation to acetate, <inline-formula><mml:math id="M183" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CH</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M184" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>. Under methanogenic
conditions in the absence of sulfate, propionate degradation started after a lag phase of about 20 <inline-formula><mml:math id="M185" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">d</mml:mi></mml:mrow></mml:math></inline-formula> (Fig. <xref ref-type="fig" rid="Ch1.F1"/>a), resulting in the
production of acetate (Fig. <xref ref-type="fig" rid="Ch1.F1"/>b), <inline-formula><mml:math id="M186" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CH</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> (Fig. <xref ref-type="fig" rid="Ch1.F1"/>c) and <inline-formula><mml:math id="M187" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> (Fig. <xref ref-type="fig" rid="Ch1.F1"/>d). The formation of acetate,
<inline-formula><mml:math id="M188" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CH</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M189" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> in the absence of propionate was only very small. The accumulation of acetate was only transient, except when
aceticlastic methanogenesis was inhibited by <inline-formula><mml:math id="M190" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CH</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub><mml:mi mathvariant="normal">F</mml:mi></mml:mrow></mml:math></inline-formula> (Fig. <xref ref-type="fig" rid="Ch1.F1"/>b). Similar observations were made in IRRI soil (Fig. S1a–d). The
production of <inline-formula><mml:math id="M191" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CH</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> was roughly equimolar to the consumption of propionate but was nearly zero when aceticlastic methanogenesis was inhibited
by <inline-formula><mml:math id="M192" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CH</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub><mml:mi mathvariant="normal">F</mml:mi></mml:mrow></mml:math></inline-formula> (Fig. <xref ref-type="fig" rid="Ch1.F2"/>a). Under these conditions, acetate accumulated to nearly equimolar amounts with the consumed propionate
(Fig. <xref ref-type="fig" rid="Ch1.F2"/>b), but in IRRI soil, acetate accumulation was less than equimolar (Fig. S2b in the Supplement). Butyrate was also a transient intermediate of propionate degradation and was produced and consumed simultaneously with acetate
(Figs. 1b and S1b). However, the accumulated concentrations were small (<inline-formula><mml:math id="M193" display="inline"><mml:mo lspace="0mm">&lt;</mml:mo></mml:math></inline-formula> 0.1 <inline-formula><mml:math id="M194" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">mM</mml:mi></mml:mrow></mml:math></inline-formula>).</p>
      <p id="d1e2934">In the presence of sulfate, propionate degradation started after a lag phase of only about 10 <inline-formula><mml:math id="M195" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">d</mml:mi></mml:mrow></mml:math></inline-formula> (Fig. <xref ref-type="fig" rid="Ch1.F1"/>a), resulting in the
accumulation of acetate (Fig. <xref ref-type="fig" rid="Ch1.F1"/>b) and the production of <inline-formula><mml:math id="M196" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> (Fig. <xref ref-type="fig" rid="Ch1.F1"/>d), but <inline-formula><mml:math id="M197" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CH</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> production was close to zero
(Fig. <xref ref-type="fig" rid="Ch1.F1"/>c). Similar results were obtained with IRRI soil (Fig. S1a–d). The accumulated acetate was equimolar (slightly less than equimolar
in the IRRI soil; Fig. S2d) to the consumption of propionate (Fig. <xref ref-type="fig" rid="Ch1.F2"/>d), but
<inline-formula><mml:math id="M198" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CH</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> was not accumulated (Fig. <xref ref-type="fig" rid="Ch1.F2"/>c). The addition of <inline-formula><mml:math id="M199" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CH</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub><mml:mi mathvariant="normal">F</mml:mi></mml:mrow></mml:math></inline-formula> had no effect. Butyrate was not detected. The accumulated acetate
was subsequently degraded, resulting in further production of <inline-formula><mml:math id="M200" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> (Fig. <xref ref-type="fig" rid="Ch1.F1"/>b and d).</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F3" specific-use="star"><?xmltex \currentcnt{3}?><?xmltex \def\figurename{Figure}?><label>Figure 3</label><caption><p id="d1e3020">Change in <inline-formula><mml:math id="M201" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">13</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula> of propionate, acetate, butyrate, <inline-formula><mml:math id="M202" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M203" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CH</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> relative to the fraction of propionate consumed (<inline-formula><mml:math id="M204" display="inline"><mml:mrow><mml:msub><mml:mi>f</mml:mi><mml:mtext>prop</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula>) under <bold>(a, b)</bold> methanogenic and <bold>(c, d)</bold> sulfidogenic conditions in paddy soil from <bold>(a, c)</bold> Vercelli (Italy) and <bold>(b, d)</bold> the IRRI (the Philippines). The different symbols indicate three different replicates.</p></caption>
          <?xmltex \igopts{width=398.338583pt}?><graphic xlink:href="https://bg.copernicus.org/articles/20/3625/2023/bg-20-3625-2023-f03.png"/>

        </fig>

</sec>
<sec id="Ch1.S3.SS2">
  <label>3.2</label><title>Isotope fractionation during propionate degradation</title>
      <p id="d1e3096">After the onset of propionate degradation, the <inline-formula><mml:math id="M205" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">13</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula> of propionate (Fig. <xref ref-type="fig" rid="Ch1.F1"/>e) and acetate (Fig. <xref ref-type="fig" rid="Ch1.F1"/>f) increased,
indicating that the light isotope was preferentially consumed. The <inline-formula><mml:math id="M206" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">13</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula> values of <inline-formula><mml:math id="M207" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> also increased
(Fig. <xref ref-type="fig" rid="Ch1.F1"/>h). The same was the case for butyrate (Fig. <xref ref-type="fig" rid="Ch1.F1"/>f). Similar results were obtained with IRRI soil (Fig. S1e–h). When
aceticlastic methanogenesis was inhibited by <inline-formula><mml:math id="M208" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CH</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub><mml:mi mathvariant="normal">F</mml:mi></mml:mrow></mml:math></inline-formula>, the <inline-formula><mml:math id="M209" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">13</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula> values of these compounds increased only slightly or decreased
(Fig. <xref ref-type="fig" rid="Ch1.F1"/>e, f and h). However, the <inline-formula><mml:math id="M210" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">13</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula> of <inline-formula><mml:math id="M211" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CH</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> was much more negative (30–50 ‰) in the presence than in
the absence of <inline-formula><mml:math id="M212" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CH</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub><mml:mi mathvariant="normal">F</mml:mi></mml:mrow></mml:math></inline-formula> (Fig. <xref ref-type="fig" rid="Ch1.F1"/>g). The <inline-formula><mml:math id="M213" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">13</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula> values of <inline-formula><mml:math id="M214" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CH</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> in unamended soil (<inline-formula><mml:math id="M215" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">H</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula> control) were
similar to those in propionate amended soil (Fig. <xref ref-type="fig" rid="Ch1.F1"/>g). To visualize the change in the <inline-formula><mml:math id="M216" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">13</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula> content of the metabolic products relative to the substrates, the <inline-formula><mml:math id="M217" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">13</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula> values were plotted against the increasing fractions (<inline-formula><mml:math id="M218" display="inline"><mml:mrow><mml:msub><mml:mi>f</mml:mi><mml:mtext>prop</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula>) of propionate
consumed in soil from both Vercelli (Fig. <xref ref-type="fig" rid="Ch1.F3"/>a) and the IRRI (Fig. <xref ref-type="fig" rid="Ch1.F3"/>b). The patterns of <inline-formula><mml:math id="M219" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">13</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula> values against the
<inline-formula><mml:math id="M220" display="inline"><mml:mrow><mml:msub><mml:mi>f</mml:mi><mml:mtext>prop</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> indicated kinetic isotope fractionation. Note that the <inline-formula><mml:math id="M221" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">13</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula> values of acetate and <inline-formula><mml:math id="M222" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> were higher than
those of propionate, whereas the values of butyrate and <inline-formula><mml:math id="M223" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CH</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> were lower (Fig. <xref ref-type="fig" rid="Ch1.F3"/>a and b). The <inline-formula><mml:math id="M224" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">13</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula> of <inline-formula><mml:math id="M225" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CH</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>
decreased until about 40 % of the propionate had been consumed and then increased again to its initial (low) values (<inline-formula><mml:math id="M226" display="inline"><mml:mo lspace="0mm">-</mml:mo></mml:math></inline-formula>50 ‰ to
<inline-formula><mml:math id="M227" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>45 ‰) (Fig. <xref ref-type="fig" rid="Ch1.F3"/>a and b).</p>
      <?pagebreak page3631?><p id="d1e3396">Under sulfidogenic conditions, only very little <inline-formula><mml:math id="M228" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CH</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> was produced. Similarly to that under methanogenic conditions, the <inline-formula><mml:math id="M229" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">13</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula> of
propionate (Fig. <xref ref-type="fig" rid="Ch1.F1"/>e) and of acetate (Fig. <xref ref-type="fig" rid="Ch1.F1"/>f) increased after the onset of propionate degradation, indicating that the light isotope
was preferentially consumed. However, the <inline-formula><mml:math id="M230" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">13</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula> values of <inline-formula><mml:math id="M231" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> decreased during the first 10–15 <inline-formula><mml:math id="M232" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">d</mml:mi></mml:mrow></mml:math></inline-formula> when acetate was
accumulated (Figs. <xref ref-type="fig" rid="Ch1.F1"/>h and S1h). Inhibition of aceticlastic methanogenesis by <inline-formula><mml:math id="M233" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CH</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub><mml:mi mathvariant="normal">F</mml:mi></mml:mrow></mml:math></inline-formula> had no effect on the <inline-formula><mml:math id="M234" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">13</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula> of
propionate and <inline-formula><mml:math id="M235" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>, but the values of acetate increased less than in the absence of <inline-formula><mml:math id="M236" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CH</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub><mml:mi mathvariant="normal">F</mml:mi></mml:mrow></mml:math></inline-formula> (Fig. <xref ref-type="fig" rid="Ch1.F1"/>f). Also,
<inline-formula><mml:math id="M237" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">13</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula> of <inline-formula><mml:math id="M238" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CH</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> was lower in the presence than in the absence of <inline-formula><mml:math id="M239" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CH</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub><mml:mi mathvariant="normal">F</mml:mi></mml:mrow></mml:math></inline-formula> (Fig. <xref ref-type="fig" rid="Ch1.F1"/>g), but the amounts of
<inline-formula><mml:math id="M240" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CH</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> produced were only very small (Fig. <xref ref-type="fig" rid="Ch1.F1"/>c). The values of <inline-formula><mml:math id="M241" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">13</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula> of propionate and acetate increased with
increasing <inline-formula><mml:math id="M242" display="inline"><mml:mrow><mml:msub><mml:mi>f</mml:mi><mml:mtext>prop</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> (Fig. <xref ref-type="fig" rid="Ch1.F3"/>c and d). The <inline-formula><mml:math id="M243" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">13</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula> of acetate was generally higher by about 5–10 ‰ than the
<inline-formula><mml:math id="M244" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">13</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula> of propionate but also increased with <inline-formula><mml:math id="M245" display="inline"><mml:mrow><mml:msub><mml:mi>f</mml:mi><mml:mtext>prop</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula>, indicating kinetic isotope fractionation. However, the
<inline-formula><mml:math id="M246" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">13</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula> of <inline-formula><mml:math id="M247" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> did not increase; instead, it decreased after the onset of propionate degradation, reaching about <inline-formula><mml:math id="M248" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>35 ‰
when 50 % of the propionate had been consumed and when acetate accumulation had reached a maximum (Fig. <xref ref-type="fig" rid="Ch1.F3"/>c and d). Thereafter,
<inline-formula><mml:math id="M249" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">13</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula> of <inline-formula><mml:math id="M250" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> increased or became constant.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F4"><?xmltex \currentcnt{4}?><?xmltex \def\figurename{Figure}?><label>Figure 4</label><caption><p id="d1e3692">Mariotti plots of propionate consumption under methanogenic and sulfidogenic (<inline-formula><mml:math id="M251" display="inline"><mml:mo lspace="0mm">±</mml:mo></mml:math></inline-formula> <inline-formula><mml:math id="M252" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CH</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub><mml:mi mathvariant="normal">F</mml:mi></mml:mrow></mml:math></inline-formula>) conditions in paddy soil from <bold>(a)</bold> Vercelli and <bold>(b)</bold> the IRRI. The different symbols indicate three different replicates; the lines give the results of linear regression averaged over the replicates.</p></caption>
          <?xmltex \igopts{width=241.848425pt}?><graphic xlink:href="https://bg.copernicus.org/articles/20/3625/2023/bg-20-3625-2023-f04.png"/>

        </fig>

      <p id="d1e3728">Mariotti plots of the <inline-formula><mml:math id="M253" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">13</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula> of propionate as a function of <inline-formula><mml:math id="M254" display="inline"><mml:mrow><mml:msub><mml:mi>f</mml:mi><mml:mtext>prop</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> could be created for methanogenic and sulfidogenic incubation
conditions, the latter being the case both in the absence and the presence of <inline-formula><mml:math id="M255" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CH</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub><mml:mi mathvariant="normal">F</mml:mi></mml:mrow></mml:math></inline-formula> (Fig. <xref ref-type="fig" rid="Ch1.F4"/>). The lines were straight even when more than 70 %
of the propionate was consumed. Nevertheless, enrichment factors (<inline-formula><mml:math id="M256" display="inline"><mml:mi mathvariant="italic">ε</mml:mi></mml:math></inline-formula>) were determined only for <inline-formula><mml:math id="M257" display="inline"><mml:mrow><mml:msub><mml:mi>f</mml:mi><mml:mtext>prop</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M258" display="inline"><mml:mo>&lt;</mml:mo></mml:math></inline-formula> 0.7 and for
regressions giving <inline-formula><mml:math id="M259" display="inline"><mml:mrow><mml:msup><mml:mi>r</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M260" display="inline"><mml:mo>&gt;</mml:mo></mml:math></inline-formula> 0.9. The <inline-formula><mml:math id="M261" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">ε</mml:mi><mml:mtext>prop</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> values were determined for each individual incubation and then averaged over the
replicates (<inline-formula><mml:math id="M262" display="inline"><mml:mi>n</mml:mi></mml:math></inline-formula> <inline-formula><mml:math id="M263" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> 2–3). The results for Vercelli and IRRI soils are summarized in Fig. <xref ref-type="fig" rid="Ch1.F5"/>. The average
<inline-formula><mml:math id="M264" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">ε</mml:mi><mml:mtext>prop</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> values under methanogenic conditions were about <inline-formula><mml:math id="M265" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>8 ‰ for Vercelli and about <inline-formula><mml:math id="M266" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>3.5 ‰ for IRRI
soil. The average <inline-formula><mml:math id="M267" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">ε</mml:mi><mml:mtext>prop</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> values under sulfidogenic conditions were around <inline-formula><mml:math id="M268" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>3.5 ‰ in both soils, irrespective of
whether <inline-formula><mml:math id="M269" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CH</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub><mml:mi mathvariant="normal">F</mml:mi></mml:mrow></mml:math></inline-formula> was present or not.</p><?xmltex \hack{\newpage}?>
</sec>
<?pagebreak page3632?><sec id="Ch1.S3.SS3">
  <label>3.3</label><title>Hydrogenotrophic methanogenesis</title>
      <p id="d1e3907">The difference between the <inline-formula><mml:math id="M270" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">13</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula> of <inline-formula><mml:math id="M271" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CH</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> in the presence and in the absence of <inline-formula><mml:math id="M272" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CH</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub><mml:mi mathvariant="normal">F</mml:mi></mml:mrow></mml:math></inline-formula> was used together with the
<inline-formula><mml:math id="M273" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">13</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula> of acetate to roughly estimate the percentage of <inline-formula><mml:math id="M274" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CH</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> derived from <inline-formula><mml:math id="M275" display="inline"><mml:mrow><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">H</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow><mml:mo>/</mml:mo><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:mrow></mml:math></inline-formula> versus acetate (Fig. S3
in the Supplement). The percentage fractions of hydrogenotrophic methanogenesis (<inline-formula><mml:math id="M276" display="inline"><mml:mrow><mml:msub><mml:mi>f</mml:mi><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">H</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula>) in
Vercelli soil reached a maximum after 40–50 <inline-formula><mml:math id="M277" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">d</mml:mi></mml:mrow></mml:math></inline-formula> when acetate concentrations also reached a maximum (Fig. S3a) and then decreased strongly. The
same was the case in IRRI soil after around 35 <inline-formula><mml:math id="M278" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">d</mml:mi></mml:mrow></mml:math></inline-formula> (Fig. S3b). When assuming a reasonable isotopic enrichment factor of
<inline-formula><mml:math id="M279" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">ε</mml:mi><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CH</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub><mml:mo>,</mml:mo><mml:mi mathvariant="normal">ac</mml:mi><mml:mo>-</mml:mo><mml:mi mathvariant="normal">methyl</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M280" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> <inline-formula><mml:math id="M281" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>15 ‰, which is in between the <inline-formula><mml:math id="M282" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">ε</mml:mi><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CH</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub><mml:mo>,</mml:mo><mml:mi mathvariant="normal">ac</mml:mi><mml:mo>-</mml:mo><mml:mi mathvariant="normal">methyl</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula> of aceticlastic
<italic>Methanosaeta</italic> (Penning et al., 2006; Valentine et al., 2004) and <italic>Methanosarcina</italic> species (Gelwicks et al., 1994; Goevert and Conrad,
2009), the average <inline-formula><mml:math id="M283" display="inline"><mml:mrow><mml:msub><mml:mi>f</mml:mi><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">H</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula> values were 0 % for Vercelli soil and 20 % for IRRI soil (Fig. S3c).</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F5"><?xmltex \currentcnt{5}?><?xmltex \def\figurename{Figure}?><label>Figure 5</label><caption><p id="d1e4107">Isotopic enrichment factors (<inline-formula><mml:math id="M284" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">ε</mml:mi><mml:mtext>prop</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula>, given as negative values) in paddy soils without and with the addition of sulfate (gypsum) and <inline-formula><mml:math id="M285" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CH</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub><mml:mi mathvariant="normal">F</mml:mi></mml:mrow></mml:math></inline-formula>. Shown are the means <inline-formula><mml:math id="M286" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> SE (standard error). The differences between the incubations were examined using Tukey's post hoc test of a one-way analysis of variance (ANOVA). Different letters on top of the bars indicate significant difference (<inline-formula><mml:math id="M287" display="inline"><mml:mi>P</mml:mi></mml:math></inline-formula> <inline-formula><mml:math id="M288" display="inline"><mml:mo>&lt;</mml:mo></mml:math></inline-formula> 0.05) between the data.</p></caption>
          <?xmltex \igopts{width=241.848425pt}?><graphic xlink:href="https://bg.copernicus.org/articles/20/3625/2023/bg-20-3625-2023-f05.png"/>

        </fig>

</sec>
</sec>
<sec id="Ch1.S4">
  <label>4</label><title>Discussion</title>
<sec id="Ch1.S4.SSx1" specific-use="unnumbered">
  <title>Pathway of propionate degradation</title>
      <p id="d1e4175">Our results showed that propionate was degraded via acetate as the main transient intermediate, finally resulting in the production of <inline-formula><mml:math id="M289" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CH</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> and
<inline-formula><mml:math id="M290" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> under methanogenic conditions and <inline-formula><mml:math id="M291" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> under sulfidogenic conditions. These results are consistent with previous observations by Liu and
Conrad (Liu and Conrad, 2017) using the same paddy soils. Stable isotope probing and correlation network analysis of the microbial communities have
shown that propionate degradation is accomplished by both <italic>Syntrophopbacter</italic> and <italic>Smithella</italic> species (Gan et al., 2012; Liu and Conrad,
2017; Lueders et al., 2004). The present study showed that propionate degradation under methanogenic conditions was consistent with the major
operation of the <italic>Smithella</italic> pathway. The main argument for this conclusion is the observation that butyrate was a transient intermediate of
propionate degradation, albeit at low concentrations (Figs. <xref ref-type="fig" rid="Ch1.F1"/> and S1). In the <italic>Smithella</italic> pathway, butyrate is further fermented to
acetate and <inline-formula><mml:math id="M292" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">H</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>. However, production of <inline-formula><mml:math id="M293" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">H</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> is smaller in the <italic>Smithella</italic> pathway than in the <italic>Syntrophobacter</italic> pathway, while
production of acetate is larger. Indeed, aceticlastic methanogenesis explained all the propionate-driven methanogenesis in the paddy soils (Figs. 2a
and S2a). The average hydrogenotrophic methanogenesis, by contrast, contributed almost zero in Vercelli soil and only about 20 % in IRRI soil
(Fig. S3c). The relatively larger contribution of aceticlastic compared to hydrogenotrophic methanogenesis to methanogenic propionate degradation supports
the conclusion that the <italic>Smithella</italic> pathway was dominant over the <italic>Syntrophobacter</italic> pathway. Arguments against the <italic>Smithella</italic>
pathway are that the accumulated <inline-formula><mml:math id="M294" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CH</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> amounted to less than the expected 1.75 mole <inline-formula><mml:math id="M295" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CH</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> per mole propionate consumed in Vercelli soil
(Fig. <xref ref-type="fig" rid="Ch1.F2"/>a) and to even less in IRRI soil (Fig. S2a). With the inhibition of aceticlastic methanogenesis, acetate accumulation in Vercelli soil
accounted for about 1 <inline-formula><mml:math id="M296" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">mole</mml:mi></mml:mrow></mml:math></inline-formula> acetate per mole propionate, which is in a range that is compatible with propionate fermentation by either
<italic>Smithella</italic> or <italic>Syntrophobacter</italic> (Fig. <xref ref-type="fig" rid="Ch1.F2"/>b). In IRRI soil, however, acetate accumulation accounted for less than 1 <inline-formula><mml:math id="M297" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">mole</mml:mi></mml:mrow></mml:math></inline-formula>
acetate per mole propionate (Fig. S2b). Note, however, that the accumulation of acetate reflects only that part of propionate fermentation, which
was not inhibited by <inline-formula><mml:math id="M298" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CH</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub><mml:mi mathvariant="normal">F</mml:mi></mml:mrow></mml:math></inline-formula>. Our conclusion that propionate was degraded mainly by <italic>Smithella</italic> under methanogenic conditions is
consistent with the microbial community structures in the paddy soils from Vercelli and the IRRI, which contain not only <italic>Syntrophobacter</italic> species
but also <italic>Smithella</italic> together with <italic>Syntrophomonas</italic>, which is able to ferment butyrate (Liu and Conrad, 2017).</p>
      <p id="d1e4339">Under sulfidogenic conditions, propionate can be oxidized in different ways, either directly by sulfate reducers forming acetate and <inline-formula><mml:math id="M299" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> or
syntrophically, as under methanogenic conditions, but with subsequent oxidation of <inline-formula><mml:math id="M300" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">H</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> and acetate by sulfate reducers. Using the same paddy
soils, Liu and their coworkers (Liu et al., 2018a; Liu and Conrad, 2017) recently showed that, under sulfidogenic conditions, propionate consumption was
mainly achieved by <italic>Syntrophobacter</italic> spp., which first oxidized propionate to acetate and <inline-formula><mml:math id="M301" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> and subsequently oxidized the
accumulated acetate to <inline-formula><mml:math id="M302" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>. These were exactly the processes observed in the present study, where propionate degradation initially resulted
in almost equimolar accumulation of acetate (Fig. <xref ref-type="fig" rid="Ch1.F2"/>d) according to
            <disp-formula id="Ch1.E10" content-type="numbered"><label>10</label><mml:math id="M303" display="block"><mml:mtable class="split" rowspacing="0.2ex" displaystyle="true" columnalign="right left"><mml:mtr><mml:mtd><mml:mrow><mml:mn mathvariant="normal">4</mml:mn><mml:mtext> propionate </mml:mtext></mml:mrow></mml:mtd><mml:mtd><mml:mrow><mml:mo>+</mml:mo><mml:mn mathvariant="normal">3</mml:mn><mml:mtext> sulfate </mml:mtext><mml:mo>+</mml:mo><mml:mn mathvariant="normal">3</mml:mn><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="normal">H</mml:mi><mml:mo>+</mml:mo></mml:msup></mml:mrow><mml:mo>→</mml:mo><mml:mn mathvariant="normal">3</mml:mn><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="normal">HS</mml:mi><mml:mo>-</mml:mo></mml:msup></mml:mrow></mml:mrow></mml:mtd></mml:mtr><mml:mtr><mml:mtd/><mml:mtd><mml:mrow><mml:mo>+</mml:mo><mml:mn mathvariant="normal">4</mml:mn><mml:mtext> acetate </mml:mtext><mml:mo>+</mml:mo><mml:mn mathvariant="normal">4</mml:mn><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow><mml:mo>+</mml:mo><mml:mn mathvariant="normal">4</mml:mn><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">H</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow><mml:mo>.</mml:mo></mml:mrow></mml:mtd></mml:mtr></mml:mtable></mml:math></disp-formula></p>
      <?pagebreak page3633?><p id="d1e4466"><?xmltex \hack{\newpage}?>It was interesting that <inline-formula><mml:math id="M304" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CH</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub><mml:mi mathvariant="normal">F</mml:mi></mml:mrow></mml:math></inline-formula> was not only a strong inhibitor of aceticlastic methanogenesis (which was expected) but also a relatively
strong inhibitor of propionate fermentation, though this was only the case under methanogenic conditions and not under sulfidogenic conditions. Inhibition of propionate fermentation
under methanogenic conditions has been observed before in three different paddy soils and has been interpreted as being due to the adverse thermodynamic
conditions when acetate accumulates (Conrad et al., 2014). However, this interpretation cannot be true since the accumulation of acetate also occurred
under sulfidogenic conditions, where <inline-formula><mml:math id="M305" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CH</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub><mml:mi mathvariant="normal">F</mml:mi></mml:mrow></mml:math></inline-formula> did not inhibit propionate degradation. In fact, it is mainly the accumulation of <inline-formula><mml:math id="M306" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">H</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>
rather than acetate to which propionate degradation is thermodynamically sensitive. This is the reason why the <italic>Smithella</italic> pathway is less
sensitive to thermodynamic inhibition than the <italic>Syntrophobacter</italic> pathway (Dolfing, 2013). However, <inline-formula><mml:math id="M307" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CH</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub><mml:mi mathvariant="normal">F</mml:mi></mml:mrow></mml:math></inline-formula> did not inhibit <inline-formula><mml:math id="M308" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">H</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>
consumption by methanogens, as seen by the low <inline-formula><mml:math id="M309" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">13</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula> of <inline-formula><mml:math id="M310" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CH</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> in the presence of <inline-formula><mml:math id="M311" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CH</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub><mml:mi mathvariant="normal">F</mml:mi></mml:mrow></mml:math></inline-formula>. Furthermore, the first step
of the <italic>Smithella</italic>-type propionate fermentation does not produce any <inline-formula><mml:math id="M312" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">H</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>, and therefore, propionate in the presence of <inline-formula><mml:math id="M313" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CH</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub><mml:mi mathvariant="normal">F</mml:mi></mml:mrow></mml:math></inline-formula>
should at least be fermented to butyrate and acetate; however, this was not the case. Hence, the reason why <inline-formula><mml:math id="M314" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CH</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub><mml:mi mathvariant="normal">F</mml:mi></mml:mrow></mml:math></inline-formula> inhibited propionate
fermentation under methanogenic conditions but not under sulfidogenic conditions remains unknown. Perhaps it is <italic>Smithella</italic> being more sensitive to
<inline-formula><mml:math id="M315" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CH</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub><mml:mi mathvariant="normal">F</mml:mi></mml:mrow></mml:math></inline-formula> than <italic>Syntrophobacter</italic>.</p>
</sec>
<sec id="Ch1.S4.SSx2" specific-use="unnumbered">
  <title>Fractionation during propionate degradation</title>
      <p id="d1e4641">The isotopic fractionation of propionate apparently followed Raleigh distillation, which is characteristic for kinetic isotope fractionation in a closed
system. The isotopic enrichment factor, which was determined from Mariotti plots, was in the range of
<inline-formula><mml:math id="M316" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">ε</mml:mi><mml:mtext>prop</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M317" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> <inline-formula><mml:math id="M318" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>8 ‰ to <inline-formula><mml:math id="M319" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>3.5 ‰, which is less than the enrichment factor for methanogenic acetate consumption,
which has been found to be <inline-formula><mml:math id="M320" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">ε</mml:mi><mml:mrow><mml:mi>a</mml:mi><mml:mi>c</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M321" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> <inline-formula><mml:math id="M322" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>21 ‰ to <inline-formula><mml:math id="M323" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>17 ‰ (Conrad et al., 2021). The <inline-formula><mml:math id="M324" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">ε</mml:mi><mml:mtext>prop</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula>
values are on the same order as those predicted from <inline-formula><mml:math id="M325" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">13</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula> values of propionate, acetate and organic carbon measured in various
methanogenic soils and sediments (Conrad et al., 2014). Propionate degradation resulted in the formation of <inline-formula><mml:math id="M326" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">13</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula>-enriched acetate and
<inline-formula><mml:math id="M327" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M328" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">13</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula>-depleted butyrate and <inline-formula><mml:math id="M329" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CH</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>. The formation of <inline-formula><mml:math id="M330" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">13</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula>-depleted butyrate can be explained by the kinetic
isotope effect with the preferential utilization of <inline-formula><mml:math id="M331" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">13</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula>-depleted propionate in the initial dismutation reaction by
<italic>Smithella</italic>. However, the production of <inline-formula><mml:math id="M332" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">13</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula>-enriched acetate cannot be explained by a linear kinetic isotope effect. We assume that
the dismutation of propionate is a branch point (Fry, 2003; Hayes, 2001) at which the carbon flow is split into the production of
<inline-formula><mml:math id="M333" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">13</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula>-enriched acetate and <inline-formula><mml:math id="M334" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">13</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula>-depleted butyrate. At the branch point, the carbon isotope flow shows a preferential flow of
<inline-formula><mml:math id="M335" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">12</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula> into the product generated by the reaction with the larger fractionation factor, which would be butyrate. The further conversion of
butyrate should produce acetate that is depleted in <inline-formula><mml:math id="M336" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">13</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula>. This acetate together with the acetate produced from propionate dismutation should
result in the <inline-formula><mml:math id="M337" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">13</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula>–acetate that is observed. The total acetate pool initially had a <inline-formula><mml:math id="M338" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">13</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula> that was up
to 10 ‰ heavier than the <inline-formula><mml:math id="M339" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">13</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula> of propionate. In the end, the <inline-formula><mml:math id="M340" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">13</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula> values were about equal. The observation
that acetate was <inline-formula><mml:math id="M341" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">13</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula>-enriched relative to propionate is consistent with <inline-formula><mml:math id="M342" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">13</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula> data for various soils and sediments (Conrad
et al., 2014) reporting that acetate is, on average, enriched by 6 ‰ relative to propionate. Acetate was further converted to <inline-formula><mml:math id="M343" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CH</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>
and to <inline-formula><mml:math id="M344" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>. In Vercelli soil, the <inline-formula><mml:math id="M345" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">13</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula> of <inline-formula><mml:math id="M346" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CH</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> was about 25–35 ‰ lighter than the <inline-formula><mml:math id="M347" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">13</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula>
of acetate. In IRRI soil, <inline-formula><mml:math id="M348" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">13</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula> depletion was even larger (30–40 ‰). In both soils, the isotopic enrichment factors for acetate
consumption were in a range of <inline-formula><mml:math id="M349" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>12 ‰ to <inline-formula><mml:math id="M350" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>17 ‰ and, for <inline-formula><mml:math id="M351" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CH</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> production from acetate, they were in a range of <inline-formula><mml:math id="M352" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>37 ‰ to
<inline-formula><mml:math id="M353" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>27 ‰ (Conrad et al., 2021). Considering that a certain percentage (albeit small) of <inline-formula><mml:math id="M354" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CH</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> was formed from <inline-formula><mml:math id="M355" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> reduction
by hydrogenotrophic methanogenesis, which displays relatively negative enrichment factors (see the <inline-formula><mml:math id="M356" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">13</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula> of <inline-formula><mml:math id="M357" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CH</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> in the
presence of <inline-formula><mml:math id="M358" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CH</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub><mml:mi mathvariant="normal">F</mml:mi></mml:mrow></mml:math></inline-formula> – Fig. <xref ref-type="fig" rid="Ch1.F1"/>g), the observed difference in the <inline-formula><mml:math id="M359" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">13</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula> of <inline-formula><mml:math id="M360" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CH</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> versus acetate is reasonable. In
<italic>Smithella</italic> fermentation, the only <inline-formula><mml:math id="M361" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> production occurs during the fermentation of butyrate and the aceticlastic conversion of
acetate. In both cases, <inline-formula><mml:math id="M362" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> should be <inline-formula><mml:math id="M363" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">13</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula>-depleted relative to the substrates. Note that this was not the case. Unfortunately, the
<inline-formula><mml:math id="M364" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">13</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula> contents of the individual <inline-formula><mml:math id="M365" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula> atoms of propionate, butyrate and acetate are not known. The <inline-formula><mml:math id="M366" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">13</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula> content in the different
<inline-formula><mml:math id="M367" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula> positions might also affect the <inline-formula><mml:math id="M368" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">13</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula> of <inline-formula><mml:math id="M369" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CH</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M370" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>, which are formed. It is also possible that, besides
<italic>Smithella</italic> fermentation, the <italic>Syntrophobacter</italic> fermentation contributed to propionate degradation. In summary, the detailed process of
isotope fractionation during the pathway of propionate degradation is unclear. However, the magnitude of the enrichment factors involved was
relatively small, being on the order of <inline-formula><mml:math id="M371" display="inline"><mml:mo>&lt;</mml:mo></mml:math></inline-formula> 10 ‰.</p>
      <?pagebreak page3634?><p id="d1e5275">Under sulfidogenic conditions, propionate was most probably degraded by <italic>Syntrophobacter</italic> spp., first to acetate, then finally to <inline-formula><mml:math id="M372" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>
(Liu et al., 2018a; Liu and Conrad, 2017). The carbon isotope fractionation of propionate consumption was, with an enrichment factor of
<inline-formula><mml:math id="M373" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">ε</mml:mi><mml:mtext>prop</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M374" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> <inline-formula><mml:math id="M375" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>3.5 ‰, comparatively small. Propionate was eventually converted to two carbon products, of which one was
depleted (the <inline-formula><mml:math id="M376" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>) and the other was enriched (the acetate) in terms of <inline-formula><mml:math id="M377" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">13</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula>. In case of <italic>Syntrophobacter</italic>-type degradation, acetate
and <inline-formula><mml:math id="M378" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> are produced from the conversion of pyruvate, which is generated in the methylmalonyl-CoA pathway. In this pathway, <inline-formula><mml:math id="M379" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> is
first consumed by the conversion of propionyl-CoA to methylmalonyl-CoA and is then produced by the conversion of oxaloacetate to pyruvate. Pyruvate is
finally converted to acetate and <inline-formula><mml:math id="M380" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>, which should both be <inline-formula><mml:math id="M381" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">13</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula>-depleted with respect to pyruvate (DeNiro and Epstein,
1977). However, both acetate and <inline-formula><mml:math id="M382" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> were initially <inline-formula><mml:math id="M383" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">13</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula>-enriched relative to propionate (about 2–5 ‰) and then changed
in opposite directions, with acetate becoming increasingly <inline-formula><mml:math id="M384" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">13</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula>-enriched and <inline-formula><mml:math id="M385" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> becoming increasingly <inline-formula><mml:math id="M386" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">13</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula>-depleted until
the time when acetate accumulation reached a maximum (Fig. <xref ref-type="fig" rid="Ch1.F5"/>). Then, <inline-formula><mml:math id="M387" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">13</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula> of both acetate and <inline-formula><mml:math id="M388" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> increased
together with the increase in <inline-formula><mml:math id="M389" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">13</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula> of propionate (Fig. <xref ref-type="fig" rid="Ch1.F5"/>). The increase in <inline-formula><mml:math id="M390" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">13</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula> of acetate is often explained by
consumption, especially through aceticlastic methanogenesis (Heuer et al., 2010; Heuer et al., 2009). However, hardly any <inline-formula><mml:math id="M391" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CH</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> was produced
under sulfidogenic conditions, and the <inline-formula><mml:math id="M392" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">13</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula> enrichment occurred during the phase of acetate accumulation. Therefore, the enrichment likely
happened during acetate production from propionate degradation. The increasing <inline-formula><mml:math id="M393" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">13</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula> depletion of <inline-formula><mml:math id="M394" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> can also not be explained by
consumption but only by the production from propionate. Hence, isotope fractionation during the conversion of propionate, particularly during the
conversion of propionate to pyruvate, is unclear. We assume complications during the carboxylation and decarboxylation reactions. Unfortunately, we found hardly any literature data on the isotope fractionation of propionate fermentation. A co-culture of <italic>Syntrophobacter fumaroxidans</italic> with
<italic>Methanobacterium formicicum</italic> exhibited marginal propionate fractionation with <inline-formula><mml:math id="M395" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">ε</mml:mi><mml:mtext>prop</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M396" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula>  0.9 ‰ and the
formation of acetate that was slightly <inline-formula><mml:math id="M397" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">13</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula>-enriched (about 5 ‰) (Botsch and Conrad, 2011), similarly to what is observed here. In summary,
the mechanism of isotope fractionation during the conversion of propionate is not completely clear, but the magnitude of isotope fractionation is
quite low.</p>
</sec>
</sec>
<sec id="Ch1.S5" sec-type="conclusions">
  <label>5</label><title>Conclusions</title>
      <p id="d1e5596">Propionate degradation under sulfidogenic conditions was explained by the metabolism of <italic>Syntrophobacteraceae</italic>, which, in a first step, converted
propionate to <inline-formula><mml:math id="M398" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">13</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula>-enriched acetate and <inline-formula><mml:math id="M399" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">13</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula>-depleted <inline-formula><mml:math id="M400" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>. By contrast, propionate degradation under methanogenic
conditions was at least partially due to metabolism by <italic>Smithella</italic>, which, in a first step, converted propionate to <inline-formula><mml:math id="M401" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">13</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula>-enriched
acetate and <inline-formula><mml:math id="M402" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">13</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula>-depleted butyrate. However, the isotopic enrichment factors (<inline-formula><mml:math id="M403" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">ε</mml:mi><mml:mtext>prop</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula>) of propionate consumption in two
paddy soils were generally very low (<inline-formula><mml:math id="M404" display="inline"><mml:mo lspace="0mm">-</mml:mo></mml:math></inline-formula>8 ‰ to <inline-formula><mml:math id="M405" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>3.5 ‰) under both methanogenic and sulfidogenic conditions. This low range is
consistent with literature values of <inline-formula><mml:math id="M406" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">13</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula> collected for propionate, acetate and organic carbon in various soils and sediments
(Conrad et al., 2014). Fractionation of propionate carbon actually seems to be smaller than fractionation of acetate, which is at least 2 times
larger (Conrad et al., 2021). Hence, degradation of organic carbon via propionate to acetate and <inline-formula><mml:math id="M407" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> apparently involves only a little isotope
fractionation on the order of <inline-formula><mml:math id="M408" display="inline"><mml:mo>&lt;</mml:mo></mml:math></inline-formula> 10 ‰. By contrast, further degradation of acetate and <inline-formula><mml:math id="M409" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> (<inline-formula><mml:math id="M410" display="inline"><mml:mo lspace="0mm">+</mml:mo></mml:math></inline-formula> <inline-formula><mml:math id="M411" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">H</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>) to
<inline-formula><mml:math id="M412" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CH</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> involves substantial isotope fractionation. This is also the case for chemolithotrophic acetate production (Conrad et al., 2014).</p>
</sec>

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

      <p id="d1e5766">The data are all contained in the figures and in the Supplement.</p>
  </notes><app-group>
        <supplementary-material position="anchor"><p id="d1e5769">The supplement related to this article is available online at: <inline-supplementary-material xlink:href="https://doi.org/10.5194/bg-20-3625-2023-supplement" xlink:title="pdf">https://doi.org/10.5194/bg-20-3625-2023-supplement</inline-supplementary-material>.</p></supplementary-material>
        </app-group><notes notes-type="authorcontribution"><title>Author contributions</title>

      <p id="d1e5778">RC designed the experiments, evaluated the data and wrote the paper. PC conducted the experiments.</p>
  </notes><notes notes-type="competinginterests"><title>Competing interests</title>

      <p id="d1e5784">The contact author has declared that neither of the authors has any competing interests.</p>
  </notes><notes notes-type="disclaimer"><title>Disclaimer</title>

      <p id="d1e5790">Publisher's note: Copernicus Publications remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.</p>
  </notes><notes notes-type="financialsupport"><title>Financial support</title>

      <p id="d1e5796">This research has been supported by the Fonds der Chemischen Industrie (grant no. 163468).<?xmltex \hack{\newline}?><?xmltex \hack{\newline}?>The article-processing charges for this open-access <?xmltex \notforhtml{\newline}?> publication were covered by the Max Planck Society.</p>
  </notes><notes notes-type="reviewstatement"><title>Review statement</title>

      <p id="d1e5807">This paper was edited by Jack Middelburg and reviewed by two anonymous referees.</p>
  </notes><ref-list>
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