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<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">
  <front>
    <journal-meta><journal-id journal-id-type="publisher">SOIL</journal-id><journal-title-group>
    <journal-title>SOIL</journal-title>
    <abbrev-journal-title abbrev-type="publisher">SOIL</abbrev-journal-title><abbrev-journal-title abbrev-type="nlm-ta">SOIL</abbrev-journal-title>
  </journal-title-group><issn pub-type="epub">2199-398X</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/soil-7-47-2021</article-id><title-group><article-title>Quantifying and correcting for pre-assay <inline-formula><mml:math id="M1" 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> loss in short-term carbon mineralization assays</article-title><alt-title>Quantifying and correcting for pre-assay <inline-formula><mml:math id="M2" 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> loss</alt-title>
      </title-group><?xmltex \runningtitle{Quantifying and correcting for pre-assay {$\chem{CO_{{2}}}$} loss}?><?xmltex \runningauthor{M. A. Belanger et al.}?>
      <contrib-group>
        <contrib contrib-type="author" corresp="no" rid="aff1 aff2">
          <name><surname>Belanger</surname><given-names>Matthew A.</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="yes" rid="aff1 aff2">
          <name><surname>Vizza</surname><given-names>Carmella</given-names></name>
          <email>carmella.vizza@wsu.edu</email>
        <ext-link>https://orcid.org/0000-0002-9269-0357</ext-link></contrib>
        <contrib contrib-type="author" corresp="no" rid="aff1 aff3">
          <name><surname>Robertson</surname><given-names>G. Philip</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff2">
          <name><surname>Roley</surname><given-names>Sarah S.</given-names></name>
          
        </contrib>
        <aff id="aff1"><label>1</label><institution>W. K. Kellogg Biological Station, Michigan State University, Hickory Corners, MI 49060, USA</institution>
        </aff>
        <aff id="aff2"><label>2</label><institution>School of the Environment, Washington State University, Richland, WA 99354, USA</institution>
        </aff>
        <aff id="aff3"><label>3</label><institution>Department of Plant, Soil, and Microbial Sciences, Michigan State University, East Lansing, MI 48824, USA</institution>
        </aff>
      </contrib-group>
      <author-notes><corresp id="corr1">Carmella Vizza (carmella.vizza@wsu.edu)</corresp></author-notes><pub-date><day>1</day><month>March</month><year>2021</year></pub-date>
      
      <volume>7</volume>
      <issue>1</issue>
      <fpage>47</fpage><lpage>52</lpage>
      <history>
        <date date-type="received"><day>12</day><month>September</month><year>2020</year></date>
           <date date-type="accepted"><day>27</day><month>January</month><year>2021</year></date>
           <date date-type="rev-recd"><day>22</day><month>January</month><year>2021</year></date>
           <date date-type="rev-request"><day>29</day><month>September</month><year>2020</year></date>
      </history>
      <permissions>
        <copyright-statement>Copyright: © 2021 Matthew A. Belanger et al.</copyright-statement>
        <copyright-year>2021</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://soil.copernicus.org/articles/7/47/2021/soil-7-47-2021.html">This article is available from https://soil.copernicus.org/articles/7/47/2021/soil-7-47-2021.html</self-uri><self-uri xlink:href="https://soil.copernicus.org/articles/7/47/2021/soil-7-47-2021.pdf">The full text article is available as a PDF file from https://soil.copernicus.org/articles/7/47/2021/soil-7-47-2021.pdf</self-uri>
      <abstract><title>Abstract</title>
    <p id="d1e143">The active fraction of soil organic carbon is an important component of soil health and often is
quickly assessed as the pulse of <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> released by re-wetting dried soils in short-term
(24–72 <inline-formula><mml:math id="M4" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">h</mml:mi></mml:mrow></mml:math></inline-formula>) assays. However, soils can lose carbon (C) as they dry and, if soil samples vary  in moisture content at sampling, differential C loss during the pre-assay dry-down period may
complicate the assay's interpretations. We examined the impact of pre-assay <inline-formula><mml:math id="M5" 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> loss in
a long-cultivated agricultural soil at initial moisture contents of 30 %, 50 %, and 70 %
water-filled pore space (WFPS). We found that 50 % and 70 % WFPS treatments lost more C during
drying than did those in the 30 % WFPS treatment and that dry-down losses led to a  26 %–32 % underestimate of their <inline-formula><mml:math id="M6" 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> pulses. We developed a soil-specific
correction factor to account for these initial soil moisture effects. Future C mineralization
studies may benefit from similar corrections.</p>
  </abstract>
    </article-meta>
  </front>
<body>
      

<sec id="Ch1.S1" sec-type="intro">
  <label>1</label><title>Introduction</title>
      <p id="d1e196">The short-term pulse of <inline-formula><mml:math id="M7" 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> following the re-wetting of dried soils (Robertson et al.,
1999; Franzluebbers et al., 2000) has been widely used as an indicator of soil health because of its
strong relationship with soil organic C, particulate organic C, microbial biomass C, and cumulative nitrogen and C mineralization over longer periods (e.g., 24 <inline-formula><mml:math id="M8" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">d</mml:mi></mml:mrow></mml:math></inline-formula>; Franzluebbers et al.,
2000). This method is derived from the “Birch effect”, whereby re-wetted dry soils release a pulse
of <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> resulting from increased microbial activity (Birch, 1958). Drought stress drives
microbial communities to dormancy or death (Borken and Matzner, 2009), and re-wetting stimulates C
mineralization (Kim et al., 2012).</p>
      <p id="d1e229">Several mechanisms could explain the Birch effect, reviewed by Jarvis et al. (2007), among others. Briefly, these include the following: (1) drying and wetting destroy soil aggregates, thus making previously inaccessible organic substrates available (Denef et al., 2001; Homyak et al., 2018); (2) microbes killed after drying are decomposed upon re-wetting (Blazewicz et al., 2014, 2020); (3) microbes release solutes to avoid bursting in response to osmotic stress caused by
re-wetting (Schimel et al., 2007); and (4) microbial populations and their activity rebound in
response to re-wetting (e.g., Barnard et al., 2013). Recent studies suggest that both cellular and
extracellular C are likely to contribute to the larger <inline-formula><mml:math id="M10" 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> pulse following re-wetting
(Slessarev et al., 2020; Warren, 2020), implying that multiple mechanisms could be important.</p>
      <p id="d1e243">Although the short-term pulse of <inline-formula><mml:math id="M11" 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> following the re-wetting of dry soils is a widely
used method in soil health assessments (e.g., Culman et al., 2013; Ladoni et al., 2016; Morrow et
al., 2016; Sprunger and Robertson, 2018), there may be potential bias introduced by assaying soils
of different moisture contents at the time of sampling. Soils that differ in moisture will dry down
at different rates, potentially losing different amounts of C prior to the start of the assay. If
sufficiently large, differential pre-assay losses could complicate soil health comparisons across
field treatments, landscape catenas, or different time points within the same soil.</p>
      <?pagebreak page48?><p id="d1e257">Here we investigate the influence of initial soil moisture levels on pre-assay <inline-formula><mml:math id="M12" 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> release
during drying for an Alfisol soil in the upper Midwest, USA. We test the hypothesis that moister
soil will have higher pre-assay <inline-formula><mml:math id="M13" 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> loss because a longer dry-down period results in more
time for such losses to occur.</p>
</sec>
<sec id="Ch1.S2">
  <label>2</label><title>Materials and methods</title>
<sec id="Ch1.S2.SS1">
  <label>2.1</label><title>Site description</title>
      <p id="d1e297">We collected soil using a shovel from the Ap horizon (0–20 <inline-formula><mml:math id="M14" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">cm</mml:mi></mml:mrow></mml:math></inline-formula>) of an arable grass field at
the W. K. Kellogg Biological Station (KBS) in Hickory Corners, MI
(<inline-formula><mml:math id="M15" display="inline"><mml:mrow><mml:mn mathvariant="normal">42</mml:mn><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup><mml:msup><mml:mn mathvariant="normal">41</mml:mn><mml:mo>′</mml:mo></mml:msup><mml:msup><mml:mn mathvariant="normal">02</mml:mn><mml:mrow><mml:mo>′</mml:mo><mml:mo>′</mml:mo></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> N, <inline-formula><mml:math id="M16" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">85</mml:mn><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup><mml:msup><mml:mn mathvariant="normal">37</mml:mn><mml:mo>′</mml:mo></mml:msup><mml:msup><mml:mn mathvariant="normal">34</mml:mn><mml:mrow><mml:mo>′</mml:mo><mml:mo>′</mml:mo></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> W). KBS
soils are mixed, mesic Typic Hapludalfs of co-mingled Kalamazoo and Oshtemo series (Crum and
Collins, 1995) developed on glacial outwash with intermixed loess (Luehmann et al., 2016). Soil
collected in September 2019 for this experiment was from the Kalamazoo series, which are
well-drained fine loams (43 % sand, 38 % silt, 19 % clay) with <inline-formula><mml:math id="M17" display="inline"><mml:mo>∼</mml:mo></mml:math></inline-formula> 2 % total C (Grandy and Robertson, 2006) and a pH of 7.2 (Robertson et al., 1993).  Average annual precipitation at KBS
is 1005 <inline-formula><mml:math id="M18" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">mm</mml:mi></mml:mrow></mml:math></inline-formula>, and mean annual temperature is 10.1 <inline-formula><mml:math id="M19" 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> (Robertson and Hamilton,
2015). The site was in various corn–soybean–wheat rotations for the 40 years prior to sampling and, before that, corn–soybean–small grain rotations for at least 60 years.</p>
</sec>
<sec id="Ch1.S2.SS2">
  <label>2.2</label><title>Experimental design</title>
      <p id="d1e396">To examine the influence of initial soil moisture on the pre-assay loss of <inline-formula><mml:math id="M20" 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> during
dry-down, we pre-wet recently collected soil to three different initial water-filled pore space
(WFPS) levels: 30 %, 50 %, and 70 %.  Then we measured gravimetric soil moisture (GSM) 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> loss while soil was air-drying, after which we re-wet them and measured the 24 <inline-formula><mml:math id="M22" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">h</mml:mi></mml:mrow></mml:math></inline-formula>
<inline-formula><mml:math id="M23" 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> pulse by standard methods (Robertson et al., 1999; Franzluebbers et al., 2000).</p>
</sec>
<sec id="Ch1.S2.SS3">
  <label>2.3</label><title>Laboratory analyses</title>
      <p id="d1e448">After collection, soil was sieved through a 4 <inline-formula><mml:math id="M24" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">mm</mml:mi></mml:mrow></mml:math></inline-formula> mesh and mixed. We measured GSM and
calculated the target volumetric water content (VWC, g <inline-formula><mml:math id="M25" 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="M26" display="inline"><mml:mrow class="unit"><mml:msup><mml:mi mathvariant="normal">cm</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> soil) for each
treatment following Eq. (1) (Elliott et al., 1999):

                <disp-formula id="Ch1.E1" content-type="numbered"><label>1</label><mml:math id="M27" display="block"><mml:mrow><mml:mstyle class="stylechange" displaystyle="true"/><mml:mtext>VWC</mml:mtext><mml:mo>=</mml:mo><mml:mtext>WFPS</mml:mtext><mml:mo>/</mml:mo><mml:mn mathvariant="normal">100</mml:mn><mml:mo>×</mml:mo><mml:mo>(</mml:mo><mml:mn mathvariant="normal">1</mml:mn><mml:mo>-</mml:mo><mml:mtext>SBD</mml:mtext><mml:mo>/</mml:mo><mml:mn mathvariant="normal">2.65</mml:mn><mml:mo>)</mml:mo><mml:mo>,</mml:mo></mml:mrow></mml:math></disp-formula>

          where soil bulk density (SBD) is 1.5 <inline-formula><mml:math id="M28" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">g</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mi mathvariant="normal">soil</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">cm</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>, as previously assessed by Robertson
(2016). Then we divided VWC by SBD to obtain a target GSM and thereby determined the amount of water
to add to the field-moist soil (11 % WFPS; <inline-formula><mml:math id="M29" display="inline"><mml:mrow><mml:mtext>GSM</mml:mtext><mml:mo>=</mml:mo><mml:mn mathvariant="normal">0.032</mml:mn></mml:mrow></mml:math></inline-formula> g <inline-formula><mml:math id="M30" 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="M31" display="inline"><mml:mrow class="unit"><mml:msup><mml:mi mathvariant="normal">g</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>
dry soil). We then weighed 40 <inline-formula><mml:math id="M32" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">g</mml:mi></mml:mrow></mml:math></inline-formula> of soil into each of 75 polyethylene cups. Each cup was
randomly assigned to an initial WFPS treatment (30, 50, or 70 %), for a total of 25 replicates per
treatment. We added sufficient deionized water to each cup to achieve the target initial WFPS and
stirred to evenly distribute water. After soil was wet and stirred in the cups, the contents of each
cup were transferred to a labeled paper bag. The soil was spread evenly across the bottom of the
bag, and the top portion of the bag was removed to increase air flow. Afterwards, the soil was
immediately weighed and set on a laboratory bench to air-dry.</p>
      <p id="d1e590">Immediately after wetting, as well as 1, 3, and 8 <inline-formula><mml:math id="M33" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">d</mml:mi></mml:mrow></mml:math></inline-formula> later, we assessed GSM and <inline-formula><mml:math id="M34" 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>
loss rates for five replicates per initial WFPS treatment.  GSM, which was determined after drying
the soil at 105 <inline-formula><mml:math id="M35" 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 24 <inline-formula><mml:math id="M36" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">h</mml:mi></mml:mrow></mml:math></inline-formula>, stabilized at 1.5 % in the air-dried soil
(Fig. 1a) but did not reach zero even when soil was completely air-dry. Because soils in all initial WFPS treatments were air-dry by day 3, with <inline-formula><mml:math id="M37" 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> loss rates close to zero, we terminated
GSM and <inline-formula><mml:math id="M38" 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> measurements after day 8.</p>
      <p id="d1e655"><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> loss rates at each sampling interval were measured by placing 10 <inline-formula><mml:math id="M40" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">g</mml:mi></mml:mrow></mml:math></inline-formula>
of soil into a 235 <inline-formula><mml:math id="M41" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">mL</mml:mi></mml:mrow></mml:math></inline-formula> mason jar fitted with a gas-sampling septum. Then we
sampled 5 <inline-formula><mml:math id="M42" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">mL</mml:mi></mml:mrow></mml:math></inline-formula> of headspace from each jar at four intervals (0, 0.5, 1, and 2 <inline-formula><mml:math id="M43" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">h</mml:mi></mml:mrow></mml:math></inline-formula>), injected it into an evacuated 3 <inline-formula><mml:math id="M44" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">mL</mml:mi></mml:mrow></mml:math></inline-formula> exetainer (Labco Limited, Lampeter,
Wales, United Kingdom), and replaced the jar headspace with laboratory air.
<inline-formula><mml:math id="M45" 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> samples were analyzed within 24 <inline-formula><mml:math id="M46" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">h</mml:mi></mml:mrow></mml:math></inline-formula> using a LI-820 <inline-formula><mml:math id="M47" 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> Gas
Analyzer (LI-COR Biosciences, Lincoln, NE, USA).</p>
      <p id="d1e739">On day 15 we re-wet the remaining five replicates of air-dried soil from
each initial WFPS treatment to 50 % WFPS (Franzluebbers et al., 2000). We
then assessed subsequent 24 <inline-formula><mml:math id="M48" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">h</mml:mi></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M49" 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> pulses by sampling headspaces at 0,
2, 4, 8, and 24 <inline-formula><mml:math id="M50" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">h</mml:mi></mml:mrow></mml:math></inline-formula>.</p>
</sec>
<sec id="Ch1.S2.SS4">
  <label>2.4</label><title>Statistical analyses and correction factor</title>
      <p id="d1e777"><inline-formula><mml:math id="M51" 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> loss rates and pulses were calculated as the positive slope of the
linear regression of <inline-formula><mml:math id="M52" 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> concentrations through time after accounting
for headspace dilution and then converted to a standardized rate using the ideal gas law. In 17 of 75 cases, we omitted one of the four data points
within a jar, which were clear visual outliers. In two cases, we rejected
jars with leaks. <inline-formula><mml:math id="M53" 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> loss rates during the dry-down period were
analyzed with a two-way analysis of covariance (ANCOVA), where initial WFPS
treatment and days elapsed since wetting (day) were factors and GSM at the time of sampling was a covariate. Additionally, a one-way analysis of
variance (ANOVA) was used to determine whether initial WFPS treatment
significantly affected the 24 <inline-formula><mml:math id="M54" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">h</mml:mi></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M55" 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> pulses upon re-wetting the
air-dried soil.</p>
      <p id="d1e831">We also calculated a correction factor to account for pre-assay <inline-formula><mml:math id="M56" 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>
loss prior to the 24 <inline-formula><mml:math id="M57" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">h</mml:mi></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M58" 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> pulse assay. To calculate the total amount
of <inline-formula><mml:math id="M59" 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> loss during dry-down for each initial WFPS treatment, we
calculated a best-fit exponential decay curve:

                <disp-formula id="Ch1.E2" content-type="numbered"><label>2</label><mml:math id="M60" display="block"><mml:mrow><mml:mstyle class="stylechange" displaystyle="true"/><mml:mi>Y</mml:mi><mml:mo>=</mml:mo><mml:msup><mml:mi mathvariant="italic">α</mml:mi><mml:mrow><mml:mi mathvariant="italic">β</mml:mi><mml:mi>X</mml:mi></mml:mrow></mml:msup><mml:mo>+</mml:mo><mml:mi mathvariant="italic">θ</mml:mi><mml:mo>,</mml:mo></mml:mrow></mml:math></disp-formula>

          where <inline-formula><mml:math id="M61" display="inline"><mml:mrow><mml:mi>Y</mml:mi><mml:mo>=</mml:mo></mml:mrow></mml:math></inline-formula> daily <inline-formula><mml:math id="M62" 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>–C loss and <inline-formula><mml:math id="M63" display="inline"><mml:mrow><mml:mi>X</mml:mi><mml:mo>=</mml:mo></mml:mrow></mml:math></inline-formula> length of dry-down period, until soil was air-dry (i.e., immediately after wetting<?pagebreak page49?> through day 3). Total C loss was equivalent to calculating the area
under the curve, using bootstrapping to estimate error.</p>
      <p id="d1e932">Because we used sacrificial sampling, we could not calculate standard deviation or standard error in
the usual way. Instead, we used a bootstrapping approach in which we computed predicted values for
<inline-formula><mml:math id="M64" 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> losses (<inline-formula><mml:math id="M65" display="inline"><mml:mrow><mml:msub><mml:mi>Y</mml:mi><mml:mi>i</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>) and residuals (<inline-formula><mml:math id="M66" display="inline"><mml:mrow><mml:msub><mml:mi>e</mml:mi><mml:mi>i</mml:mi></mml:msub><mml:mo>=</mml:mo><mml:msub><mml:mi>Y</mml:mi><mml:mi>i</mml:mi></mml:msub><mml:mo>-</mml:mo><mml:msub><mml:mi>Y</mml:mi><mml:mi>i</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>). All zeros for <inline-formula><mml:math id="M67" 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>
losses were set to 1 for fitting the regression because an exponential decay curve can approach but
never attain 0 and because 1 was lower than any value we observed. Then we created a bootstrap
sampling of residuals specific to each dry-down interval (0, 1, or 3 <inline-formula><mml:math id="M68" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">d</mml:mi></mml:mrow></mml:math></inline-formula>), sampled randomly
from each interval with replacement, and added randomly sampled residuals to predicted values
(<inline-formula><mml:math id="M69" display="inline"><mml:mrow><mml:msubsup><mml:mi>Y</mml:mi><mml:mi>i</mml:mi><mml:mo>∗</mml:mo></mml:msubsup><mml:mo>=</mml:mo><mml:msub><mml:mi>Y</mml:mi><mml:mi>i</mml:mi></mml:msub><mml:mo>+</mml:mo><mml:msubsup><mml:mi>e</mml:mi><mml:mi>i</mml:mi><mml:mo>∗</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula>) for each dry-down interval (after Hesterberg,
2015). Residuals were bootstrapped 10 000 times to derive multiple estimates of coefficients for
the exponential decay curve (<inline-formula><mml:math id="M70" display="inline"><mml:mi mathvariant="italic">α</mml:mi></mml:math></inline-formula>, <inline-formula><mml:math id="M71" display="inline"><mml:mi mathvariant="italic">β</mml:mi></mml:math></inline-formula>, and <inline-formula><mml:math id="M72" display="inline"><mml:mi mathvariant="italic">θ</mml:mi></mml:math></inline-formula>). We also integrated under the curve
10 000 times to get an error estimate (i.e., coefficient of variation) associated with the total
amount of pre-assay <inline-formula><mml:math id="M73" 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> loss during dry-down.</p>
      <p id="d1e1063">Then we divided the total <inline-formula><mml:math id="M74" 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> loss by 3 d to obtain the daily rate used to calculate a correction factor following Eq. (3):

                <disp-formula specific-use="align" content-type="numbered"><mml:math id="M75" display="block"><mml:mtable displaystyle="true"><mml:mtr><mml:mtd><mml:mrow><mml:mstyle class="stylechange" displaystyle="true"/><mml:mtext>CF</mml:mtext><mml:mo>=</mml:mo></mml:mrow></mml:mtd><mml:mtd><mml:mrow><mml:mstyle class="stylechange" displaystyle="true"/><mml:mspace linebreak="nobreak" width="0.25em"/><mml:mo>(</mml:mo><mml:msub><mml:mtext>daily CO</mml:mtext><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mtext> loss during dry-down</mml:mtext><mml:mo>/</mml:mo></mml:mrow></mml:mtd></mml:mtr><mml:mlabeledtr id="Ch1.E3"><mml:mtd><mml:mtext>3</mml:mtext></mml:mtd><mml:mtd><mml:mstyle displaystyle="true" class="stylechange"/></mml:mtd><mml:mtd><mml:mrow><mml:mstyle class="stylechange" displaystyle="true"/><mml:mspace width="0.25em" linebreak="nobreak"/><mml:mn mathvariant="normal">24</mml:mn><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msub><mml:mtext>h CO</mml:mtext><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mtext> pulse after re-wetting</mml:mtext><mml:mo>)</mml:mo><mml:mo>+</mml:mo><mml:mn mathvariant="normal">1</mml:mn><mml:mo>.</mml:mo></mml:mrow></mml:mtd></mml:mlabeledtr></mml:mtable></mml:math></disp-formula>

            The correction factor for each treatment was then multiplied by each replicate's 24 <inline-formula><mml:math id="M76" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">h</mml:mi></mml:mrow></mml:math></inline-formula>
<inline-formula><mml:math id="M77" 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> pulse following re-wetting. Finally, we verified that the correction factors worked by
conducting a one-way ANOVA to determine whether initial WFPS treatment still had an effect on the
corrected pulses. For all analyses, we confirmed that assumptions of normality and homogeneity of
variance were not violated.</p>
</sec>
</sec>
<sec id="Ch1.S3">
  <label>3</label><title>Results</title>
      <p id="d1e1162">As expected, soil in the 50 % and 70 % WFPS treatments took longer to dry than did soil in the
30 % WFPS treatment (Fig. 1a). A day after wetting, soil from the 30 % WFPS treatment was
completely air-dry, but soil in the 50 % and 70 % WFPS treatments had lost only 79 % and
68 % of their initial moisture, respectively. All soil was air-dry by 3 d after wetting. Pre-assay <inline-formula><mml:math id="M78" 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> losses mirrored soil moisture loss, reaching zero for all WFPS
treatments by day 3 (Fig. 1b). Both GSM at the time of sampling and day had effects on pre-assay <inline-formula><mml:math id="M79" 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> loss rates (<inline-formula><mml:math id="M80" display="inline"><mml:mrow><mml:mi>P</mml:mi><mml:mo>&lt;</mml:mo><mml:mn mathvariant="normal">0.0001</mml:mn></mml:mrow></mml:math></inline-formula>), but initial WFPS treatment did not (<inline-formula><mml:math id="M81" display="inline"><mml:mrow><mml:mi>P</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">0.28</mml:mn></mml:mrow></mml:math></inline-formula>), probably
because GSM captures more variation in soil moisture than WFPS treatment as the soil dries. However,
there was an interaction between treatment and Day (<inline-formula><mml:math id="M82" display="inline"><mml:mrow><mml:mi>P</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">0.0005</mml:mn></mml:mrow></mml:math></inline-formula>). Soil of even the lowest initial
WFPS treatment lost C as <inline-formula><mml:math id="M83" 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> over 3 d of drying (26 <inline-formula><mml:math id="M84" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi><mml:mi mathvariant="normal">g</mml:mi></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M85" 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>-C <inline-formula><mml:math id="M86" display="inline"><mml:mrow class="unit"><mml:msup><mml:mi mathvariant="normal">g</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> soil for 30 % WFPS), but losses were
disproportionately higher from wetter soil (62 and 71 <inline-formula><mml:math id="M87" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi><mml:mi mathvariant="normal">g</mml:mi></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M88" 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>-C <inline-formula><mml:math id="M89" display="inline"><mml:mrow class="unit"><mml:msup><mml:mi mathvariant="normal">g</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>
soil for 50 % and 70 % WFPS, respectively).</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F1" specific-use="star"><?xmltex \currentcnt{1}?><?xmltex \def\figurename{Figure}?><label>Figure 1</label><caption><p id="d1e1308"><bold>(a)</bold> Gravimetric soil moisture (GSM) during air-drying and <bold>(b)</bold> daily
<inline-formula><mml:math id="M90" 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> losses from each initial water-filled pore space (WFPS) treatment during the
dry-down period. Error bars represent standard errors of the mean.</p></caption>
        <?xmltex \igopts{width=398.338583pt}?><graphic xlink:href="https://soil.copernicus.org/articles/7/47/2021/soil-7-47-2021-f01.png"/>

      </fig>

      <p id="d1e1333">Initial soil moisture (i.e., WFPS treatment) had a significant effect on 24 <inline-formula><mml:math id="M91" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">h</mml:mi></mml:mrow></mml:math></inline-formula> <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>
pulses after re-wetting air-dried soil (<inline-formula><mml:math id="M93" display="inline"><mml:mrow><mml:mi>P</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">0.007</mml:mn></mml:mrow></mml:math></inline-formula>; Fig. 2). While final <inline-formula><mml:math id="M94" 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> pulses were
lower for the 50 % and 70 % WFPS treatments relative to 30 % WFPS (Fig. 2), the 50 % and
70 % WFPS treatments also tended to have greater pre-assay <inline-formula><mml:math id="M95" 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> losses during 3 d of dry-down, which represented 77 % and 95 % of their 24 <inline-formula><mml:math id="M96" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">h</mml:mi></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M97" 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> pulses,
respectively. After accounting for these losses with correction factors, the 24 <inline-formula><mml:math id="M98" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">h</mml:mi></mml:mrow></mml:math></inline-formula>
<inline-formula><mml:math id="M99" 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> pulses were similar across initial WFPS treatments (<inline-formula><mml:math id="M100" display="inline"><mml:mrow><mml:mi>P</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">0.28</mml:mn></mml:mrow></mml:math></inline-formula>; Fig. 3).</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F2"><?xmltex \currentcnt{2}?><?xmltex \def\figurename{Figure}?><label>Figure 2</label><caption><p id="d1e1443">24 <inline-formula><mml:math id="M101" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">h</mml:mi></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M102" 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> pulses after the re-wetting of air-dried soil for each initial
WFPS treatment. Error bars represent the standard error of the mean.</p></caption>
        <?xmltex \igopts{width=236.157874pt}?><graphic xlink:href="https://soil.copernicus.org/articles/7/47/2021/soil-7-47-2021-f02.png"/>

      </fig>

      <?xmltex \floatpos{t}?><fig id="Ch1.F3"><?xmltex \currentcnt{3}?><?xmltex \def\figurename{Figure}?><label>Figure 3</label><caption><p id="d1e1473">Daily <inline-formula><mml:math id="M103" 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 rates for each initial WFPS  treatment. Lined bars represent the average daily rate of pre-assay <inline-formula><mml:math id="M104" 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> loss during a
3 <inline-formula><mml:math id="M105" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">d</mml:mi></mml:mrow></mml:math></inline-formula> dry-down period and solid bars represent the 24 <inline-formula><mml:math id="M106" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">h</mml:mi></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M107" 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> pulses after
re-wetting the air-dried soil. Together both bars represent the 24 <inline-formula><mml:math id="M108" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">h</mml:mi></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M109" 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> pulse
corrected for pre-assay losses of <inline-formula><mml:math id="M110" 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> during dry-down. Error bars represent standard
deviation, which was calculated based on bootstrap error propagation for the daily pre-assay
losses.</p></caption>
        <?xmltex \igopts{width=236.157874pt}?><graphic xlink:href="https://soil.copernicus.org/articles/7/47/2021/soil-7-47-2021-f03.png"/>

      </fig>

</sec>
<sec id="Ch1.S4" sec-type="conclusions">
  <label>4</label><title>Discussion</title>
      <p id="d1e1570">Initial soil moisture levels significantly affected the results of the conventional 24 <inline-formula><mml:math id="M111" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">h</mml:mi></mml:mrow></mml:math></inline-formula>
<inline-formula><mml:math id="M112" 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> pulse assay, thus calling into question its reliability as a soil health indicator
(Fig. 2). Wetter soil lost more C during dry-down, presumably because soil microbes remained active
for a longer period of time. Without knowledge of pre-assay <inline-formula><mml:math id="M113" 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> losses, one might
erroneously conclude that soil from the 30 % WFPS treatment had about a 35 % greater
<inline-formula><mml:math id="M114" 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> pulse than the others (Fig. 2), but this trend is instead due to higher pre-assay
<inline-formula><mml:math id="M115" 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> losses during the dry-down period for wetter soil (Fig. 3). It is striking that even
short drying intervals (i.e., 1 versus 3 d) can affect soil health interpretations as deduced from
the 24 <inline-formula><mml:math id="M116" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">h</mml:mi></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M117" 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> pulse after re-wetting air-dried soil.  However, we were able to
account for the pre-assay <inline-formula><mml:math id="M118" 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> losses for our soil with a correction factor that made
24 <inline-formula><mml:math id="M119" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">h</mml:mi></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M120" 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> pulses approximately equivalent across all initial WFPS treatments. It is
unlikely that any mechanism other than dry-down loss in wetter soil is responsible for the treatment
differences we observed. First, soil samples were treated identically except for initial water
content. Were potential mechanisms behind the Birch effect responsible, wetter soils should have
released higher <inline-formula><mml:math id="M121" 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> pulses upon re-wetting due to greater microbial activity (e.g., Linn
and Doran, 1984), more microbial biomass (e.g., Franzluebbers, 1999), or a greater release of
osmolytes due to the increased risk of lysis.  However, the 30 % WFPS treatment had the largest
<inline-formula><mml:math id="M122" 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> pulse upon re-wetting (Fig. 2), so dry-down loss in wetter soils is the most plausible
explanation (Fig. 1).</p>
      <p id="d1e1698">These trends suggest that efforts to characterize soil health via short-term <inline-formula><mml:math id="M123" 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> pulses
following the re-wetting of dry soil should exercise caution if comparisons involve soils with a
range of initial soil moistures. This includes soils compared across seasons; across drought,
precipitation, or irrigation gradients; across landscape catenas; across crop, grazing, or forest
management practices; and as well in cross-site comparisons and meta-analyses that include soils
collected at different initial soil moistures.</p>
      <p id="d1e1712">A correction factor that accounts for pre-assay <inline-formula><mml:math id="M124" 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> losses may help to normalize such
comparisons. In our soil, pre-assay <inline-formula><mml:math id="M125" 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> losses led to a C mineralization bias as high as
32 %, for which we could confidently correct by<?pagebreak page50?> applying a correction factor based on measured
rates of pre-assay <inline-formula><mml:math id="M126" 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> loss (Eq. 3). However, we acknowledge that our use of a correction
factor is not intended to imply that there is a fixed, available C pool, but rather to demonstrate the way antecedent moisture conditions can affect soil health tests and to offer a potential
solution. Other soils with moisture contents sufficient for microbes to oxidize available C during
dry-down will require different correction factors as the C quality and microbial communities could
change by soil type as well as within and across seasons (Groffman et al., 1996; Wuest, 2014). A
soil-specific correction factor can be calculated by measuring <inline-formula><mml:math id="M127" 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> loss during dry-down on
a subset of samples, as we described above (Eq. 3).</p>
      <p id="d1e1759">An alternate solution is to minimize the dry-down period such that little C is lost prior to the
assay. Strategies to minimize pre-assay <inline-formula><mml:math id="M128" 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> loss include exposing soils to temperatures
high enough to speed evaporation but low enough to avoid sterilization (Jager, 1968) or otherwise artificially disrupt the microbial community (Evans and Wallenstein, 2012). This could be performed
in a closed vented chamber such as a soil incubator.  Alternatively, faster and more even drying
might be achieved with a steady flow of air (i.e., a fan or vented system) over exposed soil
samples.</p>
      <p id="d1e1774">Overall, our results demonstrate that using the 24 <inline-formula><mml:math id="M129" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">h</mml:mi></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M130" 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> pulse following the
re-wetting of a dried soil to evaluate soil health can be misleading for soils with different
moisture contents at time of sampling.  For such soils, rapid drying methods and/or a correction
factor based on pre-assay <inline-formula><mml:math id="M131" 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> losses should be considered.</p>
</sec>

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

      <p id="d1e1812">Data are publicly available at Dryad: <ext-link xlink:href="https://doi.org/10.5061/dryad.fj6q573rf" ext-link-type="DOI">10.5061/dryad.fj6q573rf</ext-link> (Vizza et al., 2021).</p>
  </notes><?xmltex \hack{\newpage}?><notes notes-type="authorcontribution"><title>Author contributions</title>

      <p id="d1e1822">CV and GPR designed this study, MAB and CV performed the laboratory assays,
MAB analyzed the <inline-formula><mml:math id="M132" 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> samples, CV conducted the statistical analyses,
SSR and GPR obtained funding, and MAB and CV wrote the paper with contributions from SSR and GPR.</p>
  </notes><notes notes-type="competinginterests"><title>Competing interests</title>

      <p id="d1e1839">The authors declare that they have no conflict of interest.</p>
  </notes><ack><title>Acknowledgements</title><p id="d1e1845">We acknowledge the Roley lab group at WSU and the Robertson lab group at KBS
for their helpful comments, especially Sven Bohm, whose questions inspired
us to undertake this study. We also thank Stuart Jones for his advice about
bootstrapping. We thank two anonymous reviewers and editor Jocelyn Lavallee
for their valuable feedback on how to improve this paper. Support for this research was provided by the National Science Foundation (NSF) Division
of Environmental Biology, by the NSF Long-term Ecological
Research Program  at KBS, by the Great Lakes Bioenergy Research Center, US Department of
Energy Office of Science, Office of Biological and Environmental Research, and by Michigan State University AgBioResearch.</p></ack><notes notes-type="financialsupport"><title>Financial support</title>

      <p id="d1e1850">This research has been supported by the National
Science Foundation Division of Environmental Biology (grant nos. DEB
1754212 and DEB 1832042) and the US Department of Energy Office of
Science, Office of Biological and Environmental Research (grant
no. DE-SC0018409).</p>
  </notes><notes notes-type="reviewstatement"><title>Review statement</title>

      <p id="d1e1856">This paper was edited by Jocelyn Lavallee and
reviewed by two anonymous referees.</p>
  </notes><ref-list>
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    <!--<article-title-html>Quantifying and correcting for pre-assay CO<sub>2</sub> loss in short-term carbon mineralization assays</article-title-html>
<abstract-html><p>The active fraction of soil organic carbon is an important component of soil health and often is
quickly assessed as the pulse of CO<sub>2</sub> released by re-wetting dried soils in short-term
(24–72&thinsp;h) assays. However, soils can lose carbon (C) as they dry and, if soil samples vary  in moisture content at sampling, differential C loss during the pre-assay dry-down period may
complicate the assay's interpretations. We examined the impact of pre-assay CO<sub>2</sub> loss in
a long-cultivated agricultural soil at initial moisture contents of 30&thinsp;%, 50&thinsp;%, and 70&thinsp;%
water-filled pore space (WFPS). We found that 50&thinsp;% and 70&thinsp;% WFPS treatments lost more C during
drying than did those in the 30&thinsp;% WFPS treatment and that dry-down losses led to a  26&thinsp;%–32&thinsp;% underestimate of their CO<sub>2</sub> pulses. We developed a soil-specific
correction factor to account for these initial soil moisture effects. Future C mineralization
studies may benefit from similar corrections.</p></abstract-html>
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