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  <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-12-561-2026</article-id><title-group><article-title>Destabilization of buried carbon under changing moisture regimes</article-title><alt-title>Destabilization of buried carbon</alt-title>
      </title-group>
      <contrib-group>
        <contrib contrib-type="author" equal-contrib="yes" corresp="yes" rid="aff1">
          <name><surname>Nel</surname><given-names>Teneille</given-names></name>
          <email>teneille.nel@gmail.com</email>
        <ext-link>https://orcid.org/0000-0001-9347-8916</ext-link></contrib>
        <contrib contrib-type="author" equal-contrib="yes" corresp="no" rid="aff1">
          <name><surname>Dolui</surname><given-names>Manisha</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff2">
          <name><surname>McMurtry</surname><given-names>Abbygail R.</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff1">
          <name><surname>Chacon</surname><given-names>Stephanie</given-names></name>
          
        <ext-link>https://orcid.org/0000-0001-7599-9152</ext-link></contrib>
        <contrib contrib-type="author" corresp="no" rid="aff3">
          <name><surname>Mason</surname><given-names>Joseph A.</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff2">
          <name><surname>Phillips</surname><given-names>Laura M.</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff3">
          <name><surname>Marin-Spiotta</surname><given-names>Erika</given-names></name>
          
        <ext-link>https://orcid.org/0000-0001-7343-9354</ext-link></contrib>
        <contrib contrib-type="author" corresp="no" rid="aff2">
          <name><surname>de Graaff</surname><given-names>Marie-Anne</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff1">
          <name><surname>Berhe</surname><given-names>Asmeret A.</given-names></name>
          
        <ext-link>https://orcid.org/0000-0002-6986-7943</ext-link></contrib>
        <contrib contrib-type="author" corresp="no" rid="aff1">
          <name><surname>Ghezzehei</surname><given-names>Teamrat A.</given-names></name>
          
        <ext-link>https://orcid.org/0000-0002-0287-6212</ext-link></contrib>
        <aff id="aff1"><label>1</label><institution>Department of Life and Environmental Sciences, University of California, Merced, 5200 Lake Rd, Merced, California, 95343, United States</institution>
        </aff>
        <aff id="aff2"><label>2</label><institution>Department of Geography, University of Wisconsin-Madison, 550 North Park Street, Madison, Wisconsin, 53706, United States</institution>
        </aff>
        <aff id="aff3"><label>3</label><institution>Department of Biological Sciences, Boise State University, 1910 University Drive, Boise, Idaho, 83725, United States</institution>
        </aff><author-comment content-type="econtrib"><p>These authors contributed equally to this work.</p></author-comment>
      </contrib-group>
      <author-notes><corresp id="corr1">Teneille Nel (teneille.nel@gmail.com)</corresp></author-notes><pub-date><day>4</day><month>May</month><year>2026</year></pub-date>
      
      <volume>12</volume>
      <issue>1</issue>
      <fpage>561</fpage><lpage>582</lpage>
      <history>
        <date date-type="received"><day>17</day><month>October</month><year>2025</year></date>
           <date date-type="rev-request"><day>3</day><month>November</month><year>2025</year></date>
           <date date-type="rev-recd"><day>27</day><month>March</month><year>2026</year></date>
           <date date-type="accepted"><day>14</day><month>April</month><year>2026</year></date>
      </history>
      <permissions>
        <copyright-statement>Copyright: © 2026 Teneille Nel et al.</copyright-statement>
        <copyright-year>2026</copyright-year>
      <license license-type="open-access"><license-p>This work is licensed under the Creative Commons Attribution 4.0 International License. To view a copy of this licence, visit <ext-link ext-link-type="uri" xlink:href="https://creativecommons.org/licenses/by/4.0/">https://creativecommons.org/licenses/by/4.0/</ext-link></license-p></license></permissions><self-uri xlink:href="https://soil.copernicus.org/articles/12/561/2026/soil-12-561-2026.html">This article is available from https://soil.copernicus.org/articles/12/561/2026/soil-12-561-2026.html</self-uri><self-uri xlink:href="https://soil.copernicus.org/articles/12/561/2026/soil-12-561-2026.pdf">The full text article is available as a PDF file from https://soil.copernicus.org/articles/12/561/2026/soil-12-561-2026.pdf</self-uri>
      <abstract><title>Abstract</title>

      <p id="d2e186">Paleosols formed by the burial of topsoil during landscape evolution can sequester substantial amounts of soil organic carbon (SOC) over millennia due to protection from surface disturbances. We investigated the moisture sensitivity of buried SOC storage in the Brady paleosol, a loess-derived soil in Nebraska, USA, where historical aeolian deposition during the Pleistocene–Holocene transition buried soils up to 6 m deep. Topsoils from erosional (up to 1.8 m depth) and burial (up to 5.8 m depth) transects were incubated under two moisture regimes – continuous wetting (60 % water-holding capacity) and repeated drying–rewetting – to assess soil organic matter (SOM) vulnerability to changing hydrologic conditions.</p>

      <p id="d2e189">SOC decomposition rates modeled from <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> fluxes were consistently higher in erosional than burial settings, with surface re-exposure of Brady soils enhancing microbial accessibility and destabilization. A two-pool model showed that <inline-formula><mml:math id="M2" display="inline"><mml:mrow><mml:mo>&gt;</mml:mo><mml:mn mathvariant="normal">96</mml:mn></mml:mrow></mml:math></inline-formula> % of SOC was stored in a slow-cycling pool, particularly in deeply buried soils where stabilization was linked to mineral association, fine particles, and Ca-mediated flocculation. However, this pool decomposed more rapidly in shallower Brady soils (higher turnover rate relative to buried soil), reflecting increased microbial responsiveness to surface-driven processes.</p>

      <p id="d2e213">Drying–rewetting cycles caused greater C losses from Brady soils than continuous wetting, despite the dominance of the slow pool and depletion of labile C. These cycles also accelerated fast pool decay in modern soils and erosional transects, whereas burial dampened variability in Brady soils. Although continuous wetting increased overall decay in burial transects during the incubation period, wet–dry cycles destabilized the slow pool, which may result in greater long-term C loss. Together, these results underscore the importance of burial depth, geomorphic context, and moisture regime in shaping the long-term vulnerability of ancient SOC under climate change.</p>
  </abstract>
    
<funding-group>
<award-group id="gs1">
<funding-source>National Science Foundation</funding-source>
<award-id>1623814</award-id>
<award-id>1623810</award-id>
<award-id>1623812</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="d2e225">Global temperatures have risen by 1 <inline-formula><mml:math id="M3" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">°</mml:mi><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula> since the industrial era due to anthropogenic <inline-formula><mml:math id="M4" 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> emissions, confirming human-driven climate change <xref ref-type="bibr" rid="bib1.bibx27" id="paren.1"/>. Alongside warming, precipitation regimes are shifting – marked by increased frequency and intensity of wetting and drying events, especially in more arid ecosystems. These hydrologic fluctuations can destabilize long-stored soil organic carbon (SOC) by disrupting aggregates, increasing dissolution and solute mobility, and stimulating microbial decomposition <xref ref-type="bibr" rid="bib1.bibx5 bib1.bibx51 bib1.bibx23" id="paren.2"/>. While limiting warming to below 2 <inline-formula><mml:math id="M5" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">°</mml:mi><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula> remains critical, mitigation via emissions reductions alone may be insufficient. Preserving or enhancing terrestrial carbon sinks, especially soils, offers a complementary pathway for climate stabilization.</p>
      <p id="d2e265">Soil organic matter (SOM) encompasses the full suite of organic compounds in soil, including living biomass, particulate debris, and mineral-associated organic molecules. SOC refers specifically to the carbon fraction of SOM and is the metric used throughout this study to quantify carbon stocks and fluxes. While many studies examine topsoil carbon dynamics, whole-soil responses to changes in climate have rarely been tested <xref ref-type="bibr" rid="bib1.bibx22" id="paren.3"/>. Subsoils hold nearly half of global SOC stocks <xref ref-type="bibr" rid="bib1.bibx30" id="paren.4"/> and this deep-soil carbon may be more sensitive to varying environmental conditions than surface soil <xref ref-type="bibr" rid="bib1.bibx51" id="paren.5"/>. Organic inputs reach subsoils via leaching of dissolved organic carbon and vertical transport of litter by bioturbation. SOC in deeper horizons typically features low carbon to nitrogen (<inline-formula><mml:math id="M6" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">C</mml:mi><mml:mo>:</mml:mo><mml:mi mathvariant="normal">N</mml:mi></mml:mrow></mml:math></inline-formula>) ratios and long mean residence times, suggesting advanced microbial processing and relative stability <xref ref-type="bibr" rid="bib1.bibx64" id="paren.6"/>. In contrast, topsoils buried by aeolian or alluvial deposition often retain legacy carbon signatures reflecting past vegetation and climate <xref ref-type="bibr" rid="bib1.bibx43" id="paren.7"/>, diverging from modern surface soils. These buried soils have historically been isolated from near-surface conditions, including temperature and moisture fluctuations. Previous research supports this isolation effect: for instance, <xref ref-type="bibr" rid="bib1.bibx8" id="text.8"/> found negligible <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> fluxes from Brady Soil collected from 4 m below the modern surface when no water was added, indicating extremely limited microbial activity under such dry, oxygen-poor conditions.</p>
      <p id="d2e310">The stability of buried SOC, however, depends entirely on continued isolation from surface conditions – an assumption increasingly at odds with landscape dynamics across the Great Plains. Accelerated gully erosion, agricultural tillage, and more intense precipitation events are progressively exhuming paleosols that remained protected for millennia <xref ref-type="bibr" rid="bib1.bibx45 bib1.bibx29 bib1.bibx74" id="paren.9"/>. Yet the decomposition response of this ancient carbon to re-exposure remains poorly constrained. Will millennia-old SOC decompose rapidly once oxygen and moisture access is restored, or do the same properties that enabled its long-term preservation – fine texture, mineral associations, chemical recalcitrance – confer lasting resistance? This uncertainty carries substantial implications for carbon-climate feedbacks: if re-exposed paleosol carbon proves vulnerable to decomposition, ongoing erosion across loess landscapes could convert a long-term carbon sink into an unaccounted source.</p>
      <p id="d2e316">Subsurface environments typically have limited oxygen, C inputs, and water availability, all of which constrain microbial activity and promote long-term SOC persistence <xref ref-type="bibr" rid="bib1.bibx70" id="paren.10"/>. However, this protection may be compromised under climate change scenarios involving increased rainfall, warming, and surface disturbance <xref ref-type="bibr" rid="bib1.bibx17 bib1.bibx18 bib1.bibx23" id="paren.11"/>. While burial isolates SOM from decomposers, enhancing its stability <xref ref-type="bibr" rid="bib1.bibx3 bib1.bibx71 bib1.bibx4" id="paren.12"/>, soil erosion, root intrusion, and hydrologic shifts can re-expose previously protected SOM. While erosion may remove C, the exposure of fresh relatively unweathered parent material can increase photosynthate additions due to the rejuvenation of rock-derived nutrients <xref ref-type="bibr" rid="bib1.bibx6" id="paren.13"/>. Given the global extent of geomorphic disturbance and the potential for reactivated decomposition, buried soils may represent an extensive but under-characterized carbon pool whose long-term persistence is uncertain <xref ref-type="bibr" rid="bib1.bibx9 bib1.bibx73 bib1.bibx57" id="paren.14"/>.</p>
      <p id="d2e335">SOM decomposition is mediated by geomorphic and geochemical controls. Soil texture, mineralogy, and ionic composition regulate organo–mineral associations and microbial accessibility. Mineral surfaces – particularly clays and metal oxides – can stabilize SOM through sorption and aggregation, while spatial inaccessibility and microsite heterogeneity further constrain decomposition <xref ref-type="bibr" rid="bib1.bibx42 bib1.bibx65 bib1.bibx36" id="paren.15"/>. Thermal transformation of buried SOM into condensed aromatic compounds can also enhance resistance to decay. Recent findings from <xref ref-type="bibr" rid="bib1.bibx14" id="text.16"/> link persistent SOM turnover in buried soils to fine textures, higher conductivity, and strengthened organo–mineral bonding, consistent with evidence that mineral-associated and physically protected pools dominate long-term persistence <xref ref-type="bibr" rid="bib1.bibx69" id="paren.17"/>. However, these stabilizing mechanisms weaken with erosional exposure, as disruption of aggregates, increased oxygen availability, and shifts in moisture regimes enhance microbial activity. In addition, exposure promotes priming effects through fresh organic matter inputs, accelerating the decomposition of previously protected SOM <xref ref-type="bibr" rid="bib1.bibx48 bib1.bibx37" id="paren.18"/> and increasing its vulnerability to loss.</p>
      <p id="d2e350">Soil moisture dynamics are central to SOM persistence. Wetting and drying–rewetting cycles can destabilize aggregates, increase dissolved organic carbon leaching, and stimulate mineral-associated OM loss <xref ref-type="bibr" rid="bib1.bibx5 bib1.bibx54 bib1.bibx40" id="paren.19"/>. Moisture influences microbial processes by modulating water potential, oxygen diffusion, and solute transport <xref ref-type="bibr" rid="bib1.bibx10 bib1.bibx12" id="paren.20"/>. Texture controls water retention during drying, while aggregate structure governs accessibility under saturated conditions <xref ref-type="bibr" rid="bib1.bibx56 bib1.bibx19" id="paren.21"/>.</p>
      <p id="d2e362">In surface soils, especially in semi-arid and Mediterranean systems, drying–rewetting cycles produce strong mineralization pulses <xref ref-type="bibr" rid="bib1.bibx50 bib1.bibx80" id="paren.22"/>. Such cycles break down aggregates and release labile SOM, stimulating priming effects <xref ref-type="bibr" rid="bib1.bibx52" id="paren.23"/>. Soils with broader pore-size distributions may retain water longer, sustaining microbial activity and potentially increasing cumulative SOM loss <xref ref-type="bibr" rid="bib1.bibx20" id="paren.24"/>. The effects of increased rainfall also depend on seasonal timing; for instance, winter precipitation can enhance subsoil C storage more than spring rain due to deeper translocation of carbon <xref ref-type="bibr" rid="bib1.bibx77" id="paren.25"/>.</p>
      <p id="d2e377">As soils dry, physical and chemical processes can strengthen OM–mineral interactions. Solute precipitation, matric tension, and shifts toward stronger bonding (e.g., inner-sphere complexes) promote greater SOM–mineral affinity <xref ref-type="bibr" rid="bib1.bibx33 bib1.bibx35 bib1.bibx34" id="paren.26"/>. Reorientation of amphiphilic compounds on mineral surfaces can increase hydrophobicity <xref ref-type="bibr" rid="bib1.bibx25" id="paren.27"/>, potentially misleading assessments of SOM stability under drier conditions.</p>
      <p id="d2e386"><inline-formula><mml:math id="M8" 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> efflux in subsoils is shaped by physical constraints – lower porosity, higher bulk density, and greater water-filled pore space – which suppress microbial respiration after rewetting <xref ref-type="bibr" rid="bib1.bibx51 bib1.bibx24 bib1.bibx2 bib1.bibx66" id="paren.28"/>. Subsurface microbial communities are often dominated by drought-tolerant fungi <xref ref-type="bibr" rid="bib1.bibx7" id="paren.29"/>, and experience fewer moisture and temperature fluctuations than surface soils <xref ref-type="bibr" rid="bib1.bibx64" id="paren.30"/>. Microbial “resistance” to drying manifests as reduced respiration during dry-down, while “resilience” describes rapid respiration rebound after rewetting <xref ref-type="bibr" rid="bib1.bibx38 bib1.bibx21" id="paren.31"/>. Soils with frequent drying–rewetting history tend to support more resilient microbial communities <xref ref-type="bibr" rid="bib1.bibx16 bib1.bibx72" id="paren.32"/>.</p>
      <p id="d2e414">In semi-arid systems, soil inorganic carbon (SIC) also contributes to carbon dynamics. SIC accumulates at depth through carbonate dissolution–precipitation cycles <xref ref-type="bibr" rid="bib1.bibx67 bib1.bibx1 bib1.bibx11" id="paren.33"/>. This is seen in the Brady Soil, a late Pleistocene paleosol buried by loess ca. 13 000–10 000 years ago in the Great Plains of the US <xref ref-type="bibr" rid="bib1.bibx29 bib1.bibx46" id="paren.34"/>. SIC interacts with SOC via aggregation and mineral associations but can be mobilized through leaching under increased moisture conditions <xref ref-type="bibr" rid="bib1.bibx53 bib1.bibx41 bib1.bibx75" id="paren.35"/>.</p>
      <p id="d2e427">Despite growing interest in buried SOM, moisture-driven decomposition patterns across landforms remain unclear. This study investigates the sensitivity of modern and buried SOM to moisture inputs under erosional and burial geomorphic conditions in the Brady Soil. According to the U.S. National Climate Assessment (2018), the Central Great Plains region of Nebraska is projected to warm by 3.5–9.5 <inline-formula><mml:math id="M9" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">°</mml:mi><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula>, with annual precipitation increasing by 2.5 cm. Erosion driven by agriculture, grazing, wind, and rainfall threatens to re-expose buried SOM to surface conditions.</p>
      <p id="d2e440">We conducted a laboratory incubation using soils collected near Wauneta, Nebraska, to compare <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> efflux under continuous wetting versus drying–rewetting regimes. The area's semi-arid climate with seasonal moisture variability provides a relevant setting to test SOM responses to hydrologic fluctuations. Our hypotheses were: (i) Brady SOM is more stable and decomposes more slowly than modern SOM as reduced moisture and oxygen availability limit decomposition of SOM due to isolation from the soil surface; (ii) buried SOM in erosional settings is more vulnerable to loss due to exposure of previously protected SOM to surface conditions and mixing with modern carbon; and (iii) wetting will stimulate <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> release from previously buried soils as a result of increased substrate availability due to enhanced dissolution, solute transport, microbial decomposition, and/or aggregate disruption. By evaluating the interactions between moisture, geomorphology, and SOM dynamics, we aim to improve predictions of carbon stability under future climate and land-use change.</p>
</sec>
<sec id="Ch1.S2">
  <label>2</label><title>Methods and materials</title>
<sec id="Ch1.S2.SS1">
  <label>2.1</label><title>Site and sampling</title>
      <p id="d2e480">The field site is situated near Wauneta, within the loess tablelands of southeastern Nebraska, USA (<inline-formula><mml:math id="M12" display="inline"><mml:mrow><mml:mn mathvariant="normal">40</mml:mn><mml:mi mathvariant="italic">°</mml:mi><mml:msup><mml:mn mathvariant="normal">29</mml:mn><mml:mo>′</mml:mo></mml:msup><mml:msup><mml:mn mathvariant="normal">52.8</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="M13" display="inline"><mml:mrow><mml:mn mathvariant="normal">101</mml:mn><mml:mi mathvariant="italic">°</mml:mi><mml:msup><mml:mn mathvariant="normal">24</mml:mn><mml:mo>′</mml:mo></mml:msup><mml:msup><mml:mn mathvariant="normal">36</mml:mn><mml:mrow><mml:mo>′</mml:mo><mml:mo>′</mml:mo></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> W; see Fig. <xref ref-type="fig" rid="F1"/>). The region experienced reduced loess input during the terminal Pleistocene and early Holocene (13–10 ka) that permitted soil formation, leading to the development of the Brady Soil. Subsequent aridification renewed dust flux, resulting in its burial by younger loess <xref ref-type="bibr" rid="bib1.bibx32 bib1.bibx45" id="paren.36"/>. Additional loess accumulation throughout the Holocene preserved weaker paleosols formed during intermittent burial pauses <xref ref-type="bibr" rid="bib1.bibx44 bib1.bibx49" id="paren.37"/>. Recognized as a key paleoenvironmental and stratigraphic unit, the Brady Soil is regionally traceable across Nebraska, northeastern Colorado, and northern Kansas <xref ref-type="bibr" rid="bib1.bibx31" id="paren.38"/>.</p>

      <fig id="F1" specific-use="star"><label>Figure 1</label><caption><p id="d2e543">Study site location, stratigraphy, and sampling scheme. <bold>(a)</bold> Location of the study site within the Great Plains ecoregion (grayshade) and shaded relief map illustrating topographic setting of study site. <bold>(b)</bold> Vertical cross-sections illustrating the sampling scheme relative to modern land surface topography, the Brady Soil, and loess above and below it at study site. Weakly developed horizons of modern soil and paleosols within the Holocene loess (Miao et al., 2007) not shown. Details based on one pair of burial and erosional transects but representative of all three. <bold>(c)</bold> Photo illustrating topography and native grassland vegetation at one pair of transects. Truck is near deepest profile (III) on burial transect; other burial transect points are not visible. Brady Soil is exposed in an old roadcut in foreground; erosional transect is located on intact slope beyond roadcut. Figure adapted from <xref ref-type="bibr" rid="bib1.bibx14" id="text.39"/>.</p></caption>
          <graphic xlink:href="https://soil.copernicus.org/articles/12/561/2026/soil-12-561-2026-f01.jpg"/>

        </fig>

      <p id="d2e564">The area is characterized by broad, flat uplands and sharply incised edges, providing natural windows into stratified soil profiles. Loess cover above the Brady Soil tapers in a downwind direction across the summits where it is thickest, producing burial transects of variable thickness. The local climate is semi-arid, with an average annual temperature of 9.7 <inline-formula><mml:math id="M14" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">°</mml:mi><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula> and ca. 495 mm of precipitation, concentrated during the summer months, with occasional snow in winter. Natural vegetation includes a mix of C3 and C4 grasses, replaced by cropland on many level surfaces today, but remaining at the study site and on steeper terrain in general.</p>
      <p id="d2e578">Brady Soil exposures are visible in actively eroding margins, gullies, and roadside cuts. Prior investigations, including coring and field surveys, confirm its continuity beneath the summit landform <xref ref-type="bibr" rid="bib1.bibx28 bib1.bibx43 bib1.bibx45" id="paren.40"/>. Surface soils developed in Holocene loess are weakly developed and light-colored, typically classified as Mollisols, Inceptisols, or Entisols. Although different in age, modern and buried soils share similar parent material and mineralogy due to the region’s limited weathering intensity. Brady A horizons (Ab) are identified by their dark grayish brown coloration (Munsell 10YR3/2 to 10YR4/2) and silt loam texture, generally overlying Bk or Bw horizons <xref ref-type="bibr" rid="bib1.bibx73 bib1.bibx29 bib1.bibx46" id="paren.41"/>.</p>
      <p id="d2e587">Sampling was conducted in 2016 and 2017 across two geomorphic settings: burial transects (where the Brady Soil is deeply buried beneath Holocene loess) and erosional transects (where the Brady Soil is exposed or shallowly buried due to hillslope erosion). Within each setting, three replicate transects were established. We collected samples at three depths relative to the soil surface from each of the transects per setting (details in Fig. <xref ref-type="fig" rid="F1"/>). Sampling stratigraphy relative to the present land surface was categorized using Roman numerals (Appendix, Table <xref ref-type="table" rid="TA1"/>). At each transect position, samples were collected from (1) the modern soil surface (0–30 cm), (2) the subsurface modern soil (30–60 cm, where present), and (3) the upper Brady paleosol horizon (0–30 cm into the Ab horizon, at variable depth below the modern surface depending on burial thickness). All samples were analyzed for physicochemical properties, but only samples from the 0–30 cm depth intervals were used for incubation experiments. Table A1 provides the specific sampling depths from the soil surface for each transect position. A Giddings probe (10.2 or 8.9 cm diameter) with plastic liners was used for intact sampling in burial settings, while soil pits were dug for erosional profiles. Complete methods are described in <xref ref-type="bibr" rid="bib1.bibx73" id="text.42"/>.</p>
</sec>
<sec id="Ch1.S2.SS2">
  <label>2.2</label><title>Soil chemical and physical analyses</title>
      <p id="d2e605">General soil physical and chemical properties were determined by standard soil analytical methods, as described in detail in <xref ref-type="bibr" rid="bib1.bibx14" id="text.43"/> and <xref ref-type="bibr" rid="bib1.bibx73" id="text.44"/>. Briefly, soil pH and electrical conductivity (EC) of soil samples were determined in <inline-formula><mml:math id="M15" display="inline"><mml:mrow><mml:mn mathvariant="normal">1</mml:mn><mml:mo>:</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:math></inline-formula> water extracts using a SevenExcellence multiparameter benchtop meter (Mettler Toledo, United States). Total carbon was determined by dry combustion using an ECS 4010 elemental combustion analyzer (Costech Analytical Technologies, Inc., USA); inorganic carbon was removed by acidification with 1 M HCl prior to TOC determination. Exchangeable base cations (<inline-formula><mml:math id="M16" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="normal">Ca</mml:mi><mml:mrow><mml:mn mathvariant="normal">2</mml:mn><mml:mo>+</mml:mo></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>, <inline-formula><mml:math id="M17" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="normal">Mg</mml:mi><mml:mrow><mml:mn mathvariant="normal">2</mml:mn><mml:mo>+</mml:mo></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>, <inline-formula><mml:math id="M18" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="normal">Na</mml:mi><mml:mo>+</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M19" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="normal">K</mml:mi><mml:mo>+</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula>) were were quantified by ICP-OES (Optima 5300 DV Spectrometer, Perkin-Elmer, Germany) following ammonium acetate extraction (buffered to pH 7). Sodium adsorption ratio (SAR) was determined by dividing concentration of Na in soil extract by the square root of half of  sum of Ca and Mg concentrations <xref ref-type="bibr" rid="bib1.bibx13" id="paren.45"/>. Particle size distribution was determined using the pipette method for clay (<inline-formula><mml:math id="M20" display="inline"><mml:mrow><mml:mo>&lt;</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M21" 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>) and laser diffraction (Mastersizer 2000 particle size analyzer, Malvern Panalytical, UK) for silt and sand fractions. Radiocarbon (<inline-formula><mml:math id="M22" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">14</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula>) analyses of bulk soil samples were conducted to determine the age and turnover time of carbon in both modern and buried soils. Samples were pre-treated, combusted, and then measured by accelerator mass spectrometry using an FN accelerator mass spectrometer (Van de Graaff, US) at the center for accelerator mass spectrometry at Lawrence Livermore National Laboratory. The <inline-formula><mml:math id="M23" display="inline"><mml:mrow><mml:mi mathvariant="normal">Δ</mml:mi><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">14</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:mrow></mml:math></inline-formula> results were used in a homogeneous, open-system, steady-state soil carbon decomposition model to estimate carbon turnover times <xref ref-type="bibr" rid="bib1.bibx14" id="paren.46"/> which were averaged for the three replicate transects.</p>
</sec>
<sec id="Ch1.S2.SS3">
  <label>2.3</label><title>Incubation experiments</title>
      <p id="d2e739">The incubation experiment was set up to determine the effect of continuous wetting and drying–rewetting on SOC fluxes using soils that were collected from the upper layer of modern and Brady Soil samples at burial and erosional transect types. To isolate the effects of moisture, roots <inline-formula><mml:math id="M24" display="inline"><mml:mrow><mml:mo>&gt;</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:math></inline-formula> mm were removed by sieving and manual sorting. Samples from 0–30 cm horizon depth from different transect numbers were homogenized (so that they had only unique paleostatus, transect type and burial/erosional degree). Two types of water addition experiments were conducted: continuous wet and drying–rewetting. Two sub-samples were taken from each composite to perform biological replicates of each incubation experiment, such that there was a total number of 24 individual incubation vessels.</p>
<sec id="Ch1.S2.SS3.SSS1">
  <label>2.3.1</label><title>Experimental setup</title>
      <p id="d2e759">The incubation experiments were conducted in 8 oz mason jars. Soil water holding capacity (WHC) was pre-determined by tensiometry (using pressure plates with an applied pressure of <inline-formula><mml:math id="M25" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">33</mml:mn></mml:mrow></mml:math></inline-formula> kPa) and soil moisture content was monitored on a mass-basis by weighing soils weekly during the incubation. The treatments included (i) continuous wet – soils maintained at 60 % WHC throughout the experiment and (ii) drying–rewetting cycles – soils were dried, then rewetted to 60 % WHC. Treatment durations differed by experimental objective. The continuous wet incubation (225 d) was designed to capture the full trajectory of decomposition, enabling robust fitting of two-pool decay models that partition SOC into fast- and slow-cycling fractions (turnover times on the scale of days and centuries, respectively). The wet-dry treatment (56 d, 8 cycles of 7 d drying followed by rewetting) was designed to assess cumulative effects of repeated moisture pulses over a timeframe comparable to a growing season. For direct comparison between treatments, we modeled <inline-formula><mml:math id="M26" 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 over equivalent 49 d windows and compared decay parameters derived from each treatment's full duration. Each treatment had two biological replicates (sub-samples derived from a single composite of replicate transects per soil type), and control soils were maintained at 5 % WHC.</p>
      <p id="d2e783">Previously homogenized soils were sub-sampled and added to jars at an equivalent of 30 ± 0.5 g dry mass. After adding a predetermined amount of ultra-pure water (18.2 <inline-formula><mml:math id="M27" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">M</mml:mi><mml:mi mathvariant="normal">Ω</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mi mathvariant="normal">cm</mml:mi></mml:mrow></mml:math></inline-formula>), the jars were kept at room temperature (ca. 25 <inline-formula><mml:math id="M28" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">°</mml:mi><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula>), matching the average summer soil temperature (when most precipitation occurs) at the site (UNL Soil Temperature Data). Jars were sealed with lids fitted with rubber septa for headspace gas collection, and silicone gel was applied around the septa to prevent gas leakage.</p>
      <p id="d2e809">In the continuous wet experiment, soils were maintained at 60 % WHC and sealed until sampling. On average, water loss was 0.01 <inline-formula><mml:math id="M29" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">mL</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">d</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>, ranging from 0.005 to 0.02 <inline-formula><mml:math id="M30" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">mL</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">d</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>. Water was added after gas sampling to avoid inducing the Birch effect. After each sampling, lids were left open for one hour to allow <inline-formula><mml:math id="M31" 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> equilibration with ambient air.</p>
      <p id="d2e857">In the drying–rewetting experiment, soils were rewetted every 7 d by slowly adding Milli-Q water to reach 60 % WHC. After water addition, jars were sealed, and headspace gas was sampled 6 h later to capture Birch effect emissions. Soils were then dried to 5 % WHC over the course of 2–3 d by removing the lids and incubating at ca. 25 <inline-formula><mml:math id="M32" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">°</mml:mi><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula>; respiration was not measured during this period.</p>
</sec>
<sec id="Ch1.S2.SS3.SSS2">
  <label>2.3.2</label><title>Sampling schedule and <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> analysis</title>
      <p id="d2e890">In the continuous wet experiment, headspace gas samples for <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> analysis were collected on days 1, 3, 5, 7, 11, 16, 27, 55, 82, 114, 151, and 225. After each sampling, jar lids were opened for one hour to equilibrate with ambient air.</p>
      <p id="d2e904">In the drying–rewetting experiment, jars were sealed for 6 h after water addition, and headspace gas was sampled on days 1, 7, 21, 28, 35, 42, and 49 to evaluate the Birch effect. Control samples were collected on the same days for both experiments.</p>
      <p id="d2e907">Evolved <inline-formula><mml:math id="M35" 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 were analyzed using a Shimadzu 2014 gas chromatograph (Kyoto, Japan) with a thermal conductivity detector at UC Merced and an LI-830 infrared gas analyzer (IRGA) at Lawrence Livermore National Laboratory (LLNL).</p>
</sec>
</sec>
<sec id="Ch1.S2.SS4">
  <label>2.4</label><title>Statistical analyses</title>
      <p id="d2e930">All statistical analyses were performed using CRAN-R 4.5.0 <xref ref-type="bibr" rid="bib1.bibx61" id="paren.47"/>. Soil-respired <inline-formula><mml:math id="M36" 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 from incubation experiments were averaged across two biological replicates per treatment. Control samples were represented by single measurements due to sample constraints. Accordingly, statistical comparisons involving controls were interpreted with caution.</p>
      <p id="d2e947">The concentration of soil-respired <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> was expressed as the mass of C respired per unit mass of SOC, calculated as:

            <disp-formula id="Ch1.E1" content-type="numbered"><label>1</label><mml:math id="M38" display="block"><mml:mtable rowspacing="0.2ex" class="split" displaystyle="true" columnalign="right left"><mml:mtr><mml:mtd><mml:mrow><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi><mml:mi mathvariant="normal">g</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mi mathvariant="normal">C</mml:mi><mml:mtext>-</mml:mtext><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mi mathvariant="normal">g</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mi mathvariant="normal">soil</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">C</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:mrow></mml:mtd><mml:mtd><mml:mrow><mml:mo>=</mml:mo><mml:mrow class="unit"><mml:mi mathvariant="normal">mmol</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mi mathvariant="normal">air</mml:mi></mml:mrow><mml:mo>×</mml:mo><mml:mstyle displaystyle="true"><mml:mfrac style="display"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi><mml:mi mathvariant="normal">mmol</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow><mml:mrow class="unit"><mml:mi mathvariant="normal">mol</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mi mathvariant="normal">air</mml:mi></mml:mrow></mml:mfrac></mml:mstyle></mml:mrow></mml:mtd></mml:mtr><mml:mtr><mml:mtd/><mml:mtd><mml:mrow><mml:mo>×</mml:mo><mml:mstyle displaystyle="true"><mml:mfrac style="display"><mml:mrow><mml:msup><mml:mn mathvariant="normal">10</mml:mn><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mrow class="unit"><mml:mi mathvariant="normal">mol</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mi mathvariant="normal">air</mml:mi></mml:mrow></mml:mrow><mml:mrow class="unit"><mml:mi mathvariant="normal">mmol</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mi mathvariant="normal">air</mml:mi></mml:mrow></mml:mfrac></mml:mstyle><mml:mo>×</mml:mo><mml:mstyle displaystyle="true"><mml:mfrac style="display"><mml:mrow><mml:mn mathvariant="normal">12</mml:mn><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi><mml:mi mathvariant="normal">g</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:mrow><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi><mml:mi mathvariant="normal">mol</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:mfrac></mml:mstyle></mml:mrow></mml:mtd></mml:mtr><mml:mtr><mml:mtd/><mml:mtd><mml:mrow><mml:mo>×</mml:mo><mml:mstyle displaystyle="true"><mml:mfrac style="display"><mml:mn mathvariant="normal">1</mml:mn><mml:mrow class="unit"><mml:mi mathvariant="normal">g</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mi mathvariant="normal">TOC</mml:mi></mml:mrow></mml:mfrac></mml:mstyle></mml:mrow></mml:mtd></mml:mtr></mml:mtable></mml:math></disp-formula></p>
      <p id="d2e1101">For the continuously wet incubation, cumulative respiration was calculated by summing <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> fluxes over the 225 d experiment. Two-pool first-order decay models were fitted to cumulative respiration data according to:

            <disp-formula id="Ch1.E2" content-type="numbered"><label>2</label><mml:math id="M40" display="block"><mml:mrow><mml:msub><mml:mi>C</mml:mi><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:msub><mml:mo>(</mml:mo><mml:mi>t</mml:mi><mml:mo>)</mml:mo><mml:mo>=</mml:mo><mml:msub><mml:mi>C</mml:mi><mml:mn mathvariant="normal">0</mml:mn></mml:msub><mml:mo mathsize="1.1em">(</mml:mo><mml:mn mathvariant="normal">1</mml:mn><mml:mo>-</mml:mo><mml:mo mathsize="1.1em">(</mml:mo><mml:msub><mml:mi>f</mml:mi><mml:mi mathvariant="normal">f</mml:mi></mml:msub><mml:msup><mml:mi>e</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:msub><mml:mi>k</mml:mi><mml:mi mathvariant="normal">f</mml:mi></mml:msub><mml:mi>t</mml:mi></mml:mrow></mml:msup><mml:mo>+</mml:mo><mml:msub><mml:mi>f</mml:mi><mml:mi mathvariant="normal">s</mml:mi></mml:msub><mml:msup><mml:mi>e</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:msub><mml:mi>k</mml:mi><mml:mi mathvariant="normal">s</mml:mi></mml:msub><mml:mi>t</mml:mi></mml:mrow></mml:msup><mml:mo mathsize="1.1em">)</mml:mo><mml:mo mathsize="1.1em">)</mml:mo></mml:mrow></mml:math></disp-formula>

          where <inline-formula><mml:math id="M41" display="inline"><mml:mrow><mml:msub><mml:mi>C</mml:mi><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:msub><mml:mo>(</mml:mo><mml:mi>t</mml:mi><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula> is the cumulative mass of C (<inline-formula><mml:math id="M42" 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>) respired by day <inline-formula><mml:math id="M43" display="inline"><mml:mi>t</mml:mi></mml:math></inline-formula>, <inline-formula><mml:math id="M44" display="inline"><mml:mrow><mml:msub><mml:mi>C</mml:mi><mml:mn mathvariant="normal">0</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> denotes TOC, <inline-formula><mml:math id="M45" display="inline"><mml:mrow><mml:msub><mml:mi>f</mml:mi><mml:mi mathvariant="normal">f</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M46" display="inline"><mml:mrow><mml:msub><mml:mi>f</mml:mi><mml:mi mathvariant="normal">s</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> represent the fast- and slow-cycling fractions of SOC (with <inline-formula><mml:math id="M47" display="inline"><mml:mrow><mml:msub><mml:mi>f</mml:mi><mml:mi mathvariant="normal">f</mml:mi></mml:msub><mml:mo>+</mml:mo><mml:msub><mml:mi>f</mml:mi><mml:mi mathvariant="normal">s</mml:mi></mml:msub><mml:mo>=</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:math></inline-formula>), and <inline-formula><mml:math id="M48" display="inline"><mml:mrow><mml:msub><mml:mi>k</mml:mi><mml:mi mathvariant="normal">f</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M49" display="inline"><mml:mrow><mml:msub><mml:mi>k</mml:mi><mml:mi mathvariant="normal">s</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> are the corresponding decay rate constants. Models were fitted using non-linear least-squares optimization with the <monospace>minpack.lm</monospace> package <xref ref-type="bibr" rid="bib1.bibx15" id="paren.48"/>.</p>
      <p id="d2e1319">For the wet-dry cycling incubation, cumulative respiration was calculated by summing <inline-formula><mml:math id="M50" 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> fluxes over wetting periods only, assuming negligible respiration during drying phases <xref ref-type="bibr" rid="bib1.bibx8" id="paren.49"/>. The effective incubation time (<inline-formula><mml:math id="M51" display="inline"><mml:mi>t</mml:mi></mml:math></inline-formula>) was approximated as the cumulative duration of wetting events (2 d over a 49 d experiment). Two-pool decay models were initially fitted following the same approach as for the continuously wet incubation.</p>
      <p id="d2e1344">Preliminary model fits indicated that the fast-cycling pool contributed negligibly to respiration during wet-dry cycling (slow : fast pool ratio <inline-formula><mml:math id="M52" display="inline"><mml:mrow><mml:mo>∼</mml:mo><mml:mn mathvariant="normal">0.999</mml:mn><mml:mo>:</mml:mo><mml:mn mathvariant="normal">0.001</mml:mn></mml:mrow></mml:math></inline-formula>), consistent with a functionally homogeneous system. Consequently, one-pool first-order decay models were also fitted for both incubation treatments:

            <disp-formula id="Ch1.E3" content-type="numbered"><label>3</label><mml:math id="M53" display="block"><mml:mrow><mml:msub><mml:mi>C</mml:mi><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:msub><mml:mo>(</mml:mo><mml:mi>t</mml:mi><mml:mo>)</mml:mo><mml:mo>=</mml:mo><mml:msub><mml:mi>C</mml:mi><mml:mn mathvariant="normal">0</mml:mn></mml:msub><mml:mo>(</mml:mo><mml:mn mathvariant="normal">1</mml:mn><mml:mo>-</mml:mo><mml:msup><mml:mi>e</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mi>k</mml:mi><mml:mi>t</mml:mi></mml:mrow></mml:msup><mml:mo>)</mml:mo></mml:mrow></mml:math></disp-formula>

          where <inline-formula><mml:math id="M54" display="inline"><mml:mi>k</mml:mi></mml:math></inline-formula> represents the single-pool decomposition rate constant.</p>
      <p id="d2e1414">The effects of transect type, paleostatus, degree of burial or exposure, and their interactions on SOM decomposition parameters (decay rates and pool sizes) were evaluated using linear mixed-effects models, treating biological replicates as a random effect (controls excluded). These analyses were conducted using the <monospace>nlme</monospace> <xref ref-type="bibr" rid="bib1.bibx60" id="paren.50"/> and <monospace>emmeans</monospace> <xref ref-type="bibr" rid="bib1.bibx39" id="paren.51"/> packages. Significant differences among factor levels were assessed using pairwise Sidak-adjusted comparisons. For the wet-dry cycling experiment, similar models were applied to analyze daily <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> pulse responses.</p>
      <p id="d2e1440">Total <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> losses during wet-dry cycling (49 d) were compared to modeled <inline-formula><mml:math id="M57" 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 over an equivalent duration under continuous wetting using linear mixed-effects models with paleostatus, transect type, and degree of burial or exposure as fixed effects and replicate as a random effect. Marginal means and pairwise comparisons were used to contrast incubation treatments. For control samples, paleostatus and transect type were treated as fixed effects and degree of burial or exposure as a random effect. Despite limited replication, the large magnitude of difference between control and treatment fluxes (<inline-formula><mml:math id="M58" display="inline"><mml:mrow><mml:mo>&gt;</mml:mo><mml:mn mathvariant="normal">45</mml:mn></mml:mrow></mml:math></inline-formula>-fold) indicates that moisture addition, rather than incubation artifacts, drove observed respiration patterns.</p>
      <p id="d2e1475">Mean cumulative <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> losses between control and treatment groups were further compared using a Welch test following confirmation of unequal variances via a Bartlett test, implemented in the <monospace>stats</monospace> package <xref ref-type="bibr" rid="bib1.bibx63" id="paren.52"/>. Linear mixed-effects models were also used to evaluate the effects of transect type and paleostatus on cumulative <inline-formula><mml:math id="M60" 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 in control samples, with degree of burial or exposure treated as a random effect.</p>
      <p id="d2e1506">Multiple linear regression (MLR) was used to quantify the influence of soil physicochemical properties (soil pH, EC, TOC and TIC contents, SAR, texture, and exchangeable base cations) on modeled SOM decomposition parameters. For the continuously wet incubation, MLR models were applied to fast- and slow-pool decay rates and slow-pool fraction sizes derived from two-pool models. For the wet–dry cycling incubation, MLR analyses were conducted on decomposition rates derived from one-pool models. Model selection followed stepwise forward and backward procedures, prioritizing parsimony based on Akaike Information Criterion (AIC) values using the <monospace>MASS</monospace> package <xref ref-type="bibr" rid="bib1.bibx76" id="paren.53"/>. Model coefficients, intercepts, <inline-formula><mml:math id="M61" 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>, and root mean squared error (RMSE) were calculated using the <monospace>stats</monospace> package. Pairwise Pearson correlation matrices were generated to visualize relationships among soil properties and SOM decomposition parameters using the <monospace>stats</monospace> and <monospace>ggplot2</monospace> packages <xref ref-type="bibr" rid="bib1.bibx63" id="paren.54"/>.</p>
</sec>
</sec>
<sec id="Ch1.S3">
  <label>3</label><title>Results</title>
<sec id="Ch1.S3.SS1">
  <label>3.1</label><title>General soil properties</title>
      <p id="d2e1555">The physicochemical properties of soils used in the incubation experiment are shown in Table <xref ref-type="table" rid="T1"/>. The soils were relatively alkaline (pH ranging from 6.89 to 7.77), especially the Brady Soil (<inline-formula><mml:math id="M62" display="inline"><mml:mrow><mml:mtext>pH</mml:mtext><mml:mo>&gt;</mml:mo><mml:mn mathvariant="normal">7.6</mml:mn></mml:mrow></mml:math></inline-formula>). The clay, silt and sand content placed the soils in the texture class category of silt loam. Total organic carbon was higher in modern soils due to active biomass inputs, while inorganic carbon content was higher in the Brady Soil due to carbonate formation <xref ref-type="bibr" rid="bib1.bibx14" id="paren.55"/>. The Brady soil of the burial transect was classified as saline (mean EC of 5.41 <inline-formula><mml:math id="M63" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">dS</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">m</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>) and the CEC of soils was moderately high, ranging from 15.17–23.31 <inline-formula><mml:math id="M64" display="inline"><mml:mrow class="unit"><mml:msub><mml:mi mathvariant="normal">cmol</mml:mi><mml:mi mathvariant="normal">c</mml:mi></mml:msub><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">kg</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> and indicating the presence of higher activity clays. The turnover time of bulk soils as derived from radiocarbon-based models, was much greater in the Brady Soil (8327–15 654 years) compared to modern soils (576.4–1451 years), confirming the long-term stability of SOM in the paleosol <xref ref-type="bibr" rid="bib1.bibx14" id="paren.56"/>. The mean CN ratio in both Brady and modern soils was relatively low (ca. 10), indicating a sufficient supply of N for plant growth and microbial activity.</p>

<table-wrap id="T1" specific-use="star"><label>Table 1</label><caption><p id="d2e1619">General physicochemical (mean ± standard deviation) of soils used in the incubation experiment, grouped by transect type and paleostatus.</p></caption><oasis:table frame="topbot"><oasis:tgroup cols="5">
     <oasis:colspec colnum="1" colname="col1" align="left"/>
     <oasis:colspec colnum="2" colname="col2" align="right"/>
     <oasis:colspec colnum="3" colname="col3" align="right" colsep="1"/>
     <oasis:colspec colnum="4" colname="col4" align="right"/>
     <oasis:colspec colnum="5" colname="col5" align="right"/>
     <oasis:thead>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1">Transect type</oasis:entry>
         <oasis:entry namest="col2" nameend="col3" align="center" colsep="1">Burial </oasis:entry>
         <oasis:entry namest="col4" nameend="col5" align="center">Erosional </oasis:entry>
       </oasis:row>
     </oasis:thead>
     <oasis:tbody>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1">Paleostatus</oasis:entry>
         <oasis:entry colname="col2">Brady</oasis:entry>
         <oasis:entry colname="col3">Modern</oasis:entry>
         <oasis:entry colname="col4">Brady</oasis:entry>
         <oasis:entry colname="col5">Modern</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">pH</oasis:entry>
         <oasis:entry colname="col2">7.77 ± 0.04</oasis:entry>
         <oasis:entry colname="col3">6.89 ± 0.32</oasis:entry>
         <oasis:entry colname="col4">7.68 ± 0.12</oasis:entry>
         <oasis:entry colname="col5">7.41 ± 0.10</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Clay (%)</oasis:entry>
         <oasis:entry colname="col2">9.48 ± 0.75</oasis:entry>
         <oasis:entry colname="col3">6.13 ± 0.64</oasis:entry>
         <oasis:entry colname="col4">7.62 ± 0.44</oasis:entry>
         <oasis:entry colname="col5">6.29 ± 0.48</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Silt (%)</oasis:entry>
         <oasis:entry colname="col2">59.31 ± 0.44</oasis:entry>
         <oasis:entry colname="col3">56.24 ± 5.76</oasis:entry>
         <oasis:entry colname="col4">55.73 ± 4.88</oasis:entry>
         <oasis:entry colname="col5">53.67 ± 1.51</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Sand (%)</oasis:entry>
         <oasis:entry colname="col2">31.24 ± 0.94</oasis:entry>
         <oasis:entry colname="col3">37.62 ± 6.39</oasis:entry>
         <oasis:entry colname="col4">36.64 ± 5.22</oasis:entry>
         <oasis:entry colname="col5">40.08 ± 1.92</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">TOC content</oasis:entry>
         <oasis:entry colname="col2">0.45 ± 0.06</oasis:entry>
         <oasis:entry colname="col3">1.03 ± 0.20</oasis:entry>
         <oasis:entry colname="col4">0.56 ± 0.10</oasis:entry>
         <oasis:entry colname="col5">0.93 ± 0.17</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">TIC content</oasis:entry>
         <oasis:entry colname="col2">0.24 ± 0.11</oasis:entry>
         <oasis:entry colname="col3">0.09 ± 0.03</oasis:entry>
         <oasis:entry colname="col4">0.28 ± 0.04</oasis:entry>
         <oasis:entry colname="col5">0.25 ± 0.03</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">EC (<inline-formula><mml:math id="M65" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">dS</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">m</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>)</oasis:entry>
         <oasis:entry colname="col2">5.41 ± 0.32</oasis:entry>
         <oasis:entry colname="col3">2.26 ± 0.43</oasis:entry>
         <oasis:entry colname="col4">3.05 ± 0.47</oasis:entry>
         <oasis:entry colname="col5">3.57 ± 0.35</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">CEC (<inline-formula><mml:math id="M66" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">cmolc</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">kg</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>)</oasis:entry>
         <oasis:entry colname="col2">22.86 ± 0.54</oasis:entry>
         <oasis:entry colname="col3">15.17 ± 3.54</oasis:entry>
         <oasis:entry colname="col4">23.31 ± 3.52</oasis:entry>
         <oasis:entry colname="col5">20.59 ± 1.83</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Turnover time (years)</oasis:entry>
         <oasis:entry colname="col2">15 654 ± 2440</oasis:entry>
         <oasis:entry colname="col3">576.4 ± 126</oasis:entry>
         <oasis:entry colname="col4">8327 ± 2732</oasis:entry>
         <oasis:entry colname="col5">1451 ± 673</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">CN ratio</oasis:entry>
         <oasis:entry colname="col2">10.00 ± 0.45</oasis:entry>
         <oasis:entry colname="col3">9.24 ± 0.21</oasis:entry>
         <oasis:entry colname="col4">10.96 ± 0.20</oasis:entry>
         <oasis:entry colname="col5">9.76 ± 0.25</oasis:entry>
       </oasis:row>
     </oasis:tbody>
   </oasis:tgroup></oasis:table></table-wrap>

</sec>
<sec id="Ch1.S3.SS2">
  <label>3.2</label><title>Effects of continuous wetting on soil <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> efflux</title>
      <p id="d2e1909">Cumulative C lost from soils via respiration of <inline-formula><mml:math id="M68" 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 the continuously wet incubation are shown in Fig. <xref ref-type="fig" rid="F2"/>. Raw incubation data and figures of merit of statistical comparative tests are available online at DOI: <ext-link xlink:href="https://doi.org/10.17632/fjw646gpyf.1" ext-link-type="DOI">10.17632/fjw646gpyf.1</ext-link> <xref ref-type="bibr" rid="bib1.bibx55" id="paren.57"/>.</p>

      <fig id="F2"><label>Figure 2</label><caption><p id="d2e1933">Cumulative respiratory <inline-formula><mml:math id="M69" 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> from modern and Brady Soil sampled from three depths representing varying degrees of burial/erosional exposure (two technical replicates each). In burial transects, Shallow <inline-formula><mml:math id="M70" display="inline"><mml:mo>→</mml:mo></mml:math></inline-formula> Intermediate <inline-formula><mml:math id="M71" display="inline"><mml:mo>→</mml:mo></mml:math></inline-formula> Deep corresponds to burial degrees I <inline-formula><mml:math id="M72" display="inline"><mml:mo>→</mml:mo></mml:math></inline-formula> II <inline-formula><mml:math id="M73" display="inline"><mml:mo>→</mml:mo></mml:math></inline-formula> III. In erosional transects, this relationship is reversed, with Shallow <inline-formula><mml:math id="M74" display="inline"><mml:mo>→</mml:mo></mml:math></inline-formula> Intermediate <inline-formula><mml:math id="M75" display="inline"><mml:mo>→</mml:mo></mml:math></inline-formula> Deep corresponding to exposure degrees III <inline-formula><mml:math id="M76" display="inline"><mml:mo>→</mml:mo></mml:math></inline-formula> II <inline-formula><mml:math id="M77" display="inline"><mml:mo>→</mml:mo></mml:math></inline-formula> I. Soils were maintained at a constant moisture content of 60 % water holding capacity (WHC). Lines depict a two-pool first-order decay model, fitted using a non-linear least-squares function. The dotted line represents the control (5 % WHC).</p></caption>
          <graphic xlink:href="https://soil.copernicus.org/articles/12/561/2026/soil-12-561-2026-f02.png"/>

        </fig>

      <p id="d2e2010">In the continuous wet soil treatment group, modern soils evolved significantly higher <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> (mean of 30.6 <inline-formula><mml:math id="M79" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">mg</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mtext>-</mml:mtext><mml:mi mathvariant="normal">C</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mi mathvariant="normal">g</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">C</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>) compared to Brady Soil (mean of <inline-formula><mml:math id="M80" display="inline"><mml:mn mathvariant="normal">15.9</mml:mn></mml:math></inline-formula> <inline-formula><mml:math id="M81" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> <inline-formula><mml:math id="M82" display="inline"><mml:mn mathvariant="normal">2.39</mml:mn></mml:math></inline-formula> <inline-formula><mml:math id="M83" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">mg</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mtext>-</mml:mtext><mml:mi mathvariant="normal">C</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mi mathvariant="normal">g</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">C</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>) after 225 d of incubation (<inline-formula><mml:math id="M84" display="inline"><mml:mrow><mml:mi>p</mml:mi><mml:mo>&lt;</mml:mo><mml:mn mathvariant="normal">0.01</mml:mn></mml:mrow></mml:math></inline-formula>). Soils of the erosional transect type had greater cumulative C loss (mean of 29.3 <inline-formula><mml:math id="M85" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">mg</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mtext>-</mml:mtext><mml:mi mathvariant="normal">C</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mi mathvariant="normal">g</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">C</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>) compared to the burial transect (mean of <inline-formula><mml:math id="M86" display="inline"><mml:mn mathvariant="normal">17.3</mml:mn></mml:math></inline-formula> <inline-formula><mml:math id="M87" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> <inline-formula><mml:math id="M88" display="inline"><mml:mn mathvariant="normal">2.39</mml:mn></mml:math></inline-formula> <inline-formula><mml:math id="M89" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">mg</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mtext>-</mml:mtext><mml:mi mathvariant="normal">C</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mi mathvariant="normal">g</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">C</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>, <inline-formula><mml:math id="M90" display="inline"><mml:mrow><mml:mi>p</mml:mi><mml:mo>&lt;</mml:mo><mml:mn mathvariant="normal">0.01</mml:mn></mml:mrow></mml:math></inline-formula>). However, the difference between cumulative C losses of erosional vs. burial transect types was not significant at the greatest degree of burial and lowest degree of erosion.</p>
      <p id="d2e2213">Modern soil in the erosional transect had significantly higher cumulative C losses (mean of 35.9 <inline-formula><mml:math id="M91" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">mg</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mtext>-</mml:mtext><mml:mi mathvariant="normal">C</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mi mathvariant="normal">g</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">C</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>) than modern soil of the burial transect (mean of 25.3 <inline-formula><mml:math id="M92" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">mg</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mtext>-</mml:mtext><mml:mi mathvariant="normal">C</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mi mathvariant="normal">g</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">C</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>, <inline-formula><mml:math id="M93" display="inline"><mml:mrow><mml:mi>p</mml:mi><mml:mo>&lt;</mml:mo><mml:mn mathvariant="normal">0.05</mml:mn></mml:mrow></mml:math></inline-formula>). Similarly, Brady Soil of the erosional transect had significantly higher cumulative C losses (mean of 22.6 <inline-formula><mml:math id="M94" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">mg</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mtext>-</mml:mtext><mml:mi mathvariant="normal">C</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mi mathvariant="normal">g</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">C</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>) compared to the burial transect (mean of 9.28 <inline-formula><mml:math id="M95" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">mg</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mtext>-</mml:mtext><mml:mi mathvariant="normal">C</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mi mathvariant="normal">g</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">C</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>, <inline-formula><mml:math id="M96" display="inline"><mml:mrow><mml:mi>p</mml:mi><mml:mo>&lt;</mml:mo><mml:mn mathvariant="normal">0.05</mml:mn></mml:mrow></mml:math></inline-formula>).</p>
      <p id="d2e2362">The Brady soil with an intermediate degree of erosion had higher cumulative <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> loss (mean of 33.2 <inline-formula><mml:math id="M98" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">mg</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mtext>-</mml:mtext><mml:mi mathvariant="normal">C</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mi mathvariant="normal">g</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">C</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>) compared to Brady Soil of the lowest and highest degrees of erosion, while the Brady soil with the greatest degree of burial had the lowest cumulative <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> loss (mean of 4.14 <inline-formula><mml:math id="M100" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">mg</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mtext>-</mml:mtext><mml:mi mathvariant="normal">C</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mi mathvariant="normal">g</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">C</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>, differences not significant). For Brady soil of the burial transect, the magnitude of cumulative <inline-formula><mml:math id="M101" 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> efflux among different degrees of burial was in the order of I <inline-formula><mml:math id="M102" display="inline"><mml:mo>&gt;</mml:mo></mml:math></inline-formula> II <inline-formula><mml:math id="M103" display="inline"><mml:mo>&gt;</mml:mo></mml:math></inline-formula> III, whereas in the erosional transect, cumulative <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> efflux among different degrees of erosion was II <inline-formula><mml:math id="M105" display="inline"><mml:mo>&gt;</mml:mo></mml:math></inline-formula> III <inline-formula><mml:math id="M106" display="inline"><mml:mo>&gt;</mml:mo></mml:math></inline-formula> I.</p>
      <p id="d2e2498">The cumulative <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> evolution of 60 % WHC continuous wet experiments (mean of 23.3 <inline-formula><mml:math id="M108" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">mg</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mtext>-</mml:mtext><mml:mi mathvariant="normal">C</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mi mathvariant="normal">g</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">C</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>) was significantly greater than control soils maintained at 5 % WHC (mean of 0.478 <inline-formula><mml:math id="M109" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">mg</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mtext>-</mml:mtext><mml:mi mathvariant="normal">C</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mi mathvariant="normal">g</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">C</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>, <inline-formula><mml:math id="M110" display="inline"><mml:mrow><mml:mi>p</mml:mi><mml:mo>&lt;</mml:mo><mml:mn mathvariant="normal">0.001</mml:mn></mml:mrow></mml:math></inline-formula>). Among the control soils, Brady Soil of the burial transect had significantly greater C losses (mean of 0.561 <inline-formula><mml:math id="M111" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">mg</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mtext>-</mml:mtext><mml:mi mathvariant="normal">C</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mi mathvariant="normal">g</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">C</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>) compared to modern soils (mean of <inline-formula><mml:math id="M112" display="inline"><mml:mn mathvariant="normal">0.253</mml:mn></mml:math></inline-formula> <inline-formula><mml:math id="M113" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> <inline-formula><mml:math id="M114" display="inline"><mml:mn mathvariant="normal">0.0683</mml:mn></mml:math></inline-formula> <inline-formula><mml:math id="M115" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">mg</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mtext>-</mml:mtext><mml:mi mathvariant="normal">C</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mi mathvariant="normal">g</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">C</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>, <inline-formula><mml:math id="M116" display="inline"><mml:mrow><mml:mi>p</mml:mi><mml:mo>&lt;</mml:mo><mml:mn mathvariant="normal">0.05</mml:mn></mml:mrow></mml:math></inline-formula>), but C losses in modern and Brady Soil were more similar in the erosional transect (mean of 0.254 and 0.444 <inline-formula><mml:math id="M117" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">mg</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mtext>-</mml:mtext><mml:mi mathvariant="normal">C</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mi mathvariant="normal">g</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">C</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> for modern and Brady Soil respectively, n.s.).</p>
      <p id="d2e2708">Significance of differences in cumulative <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 among degree of burial/exposure for control samples could not be tested due to lack of replication, but we report observed differences. Among the burial transect control soils, Brady soil with the lowest degree of burial produced the greatest cumulative <inline-formula><mml:math id="M119" 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 modern soil collected from the intermediate degree of burial soil produced the least cumulative <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> loss. Among the erosional transect control soils, the most <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> was evolved in the Brady soils with intermediate erosion, and the lowest <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> was evolved in the modern soil collected from the lowest degree of burial.</p>
</sec>
<sec id="Ch1.S3.SS3">
  <label>3.3</label><title>Effect of drying and rewetting on soil <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> efflux</title>
      <p id="d2e2786">Daily C lost from soils via respiration of <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> during the dry-rewetting incubation are shown in Fig. <xref ref-type="fig" rid="FA1"/> and cumulative C losses are shown in Fig. <xref ref-type="fig" rid="F3"/>. Soil respiration data from the dry-rewetting incubation are available online at DOI: <ext-link xlink:href="https://doi.org/10.17632/fjw646gpyf.1" ext-link-type="DOI">10.17632/fjw646gpyf.1</ext-link> <xref ref-type="bibr" rid="bib1.bibx55" id="paren.58"/>.</p>

      <fig id="F3"><label>Figure 3</label><caption><p id="d2e2812">Cumulative respiratory <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> flux from modern and Brady Soil sampled from three depths representing varying degrees of burial/erosional exposure (two technical replicates each). In burial transects, Shallow <inline-formula><mml:math id="M126" display="inline"><mml:mo>→</mml:mo></mml:math></inline-formula> Intermediate <inline-formula><mml:math id="M127" display="inline"><mml:mo>→</mml:mo></mml:math></inline-formula> Deep corresponds to burial degrees I <inline-formula><mml:math id="M128" display="inline"><mml:mo>→</mml:mo></mml:math></inline-formula> II <inline-formula><mml:math id="M129" display="inline"><mml:mo>→</mml:mo></mml:math></inline-formula> III. In erosional transects, this relationship is reversed, with Shallow <inline-formula><mml:math id="M130" display="inline"><mml:mo>→</mml:mo></mml:math></inline-formula> Intermediate <inline-formula><mml:math id="M131" display="inline"><mml:mo>→</mml:mo></mml:math></inline-formula> Deep corresponding to exposure degrees III <inline-formula><mml:math id="M132" display="inline"><mml:mo>→</mml:mo></mml:math></inline-formula> II <inline-formula><mml:math id="M133" display="inline"><mml:mo>→</mml:mo></mml:math></inline-formula> I. Soils were wetted to a moisture content of 60 % water holding capacity (WHC) and allowed to dry to 5 % WHC. Lines depict a one-pool first-order decay model, fitted using a non-linear least-squares funtcion. The dotted line represents the control (constant 5 % WHC); one control Brady soil sample of the erosional transect had an outlier point not shown due to scale. Asterisks (*) indicate control samples maintained at 5 % WHC.</p></caption>
          <graphic xlink:href="https://soil.copernicus.org/articles/12/561/2026/soil-12-561-2026-f03.png"/>

        </fig>

      <p id="d2e2889">The largest respiration fluxes were produced on the first day, with significantly greater cumulative <inline-formula><mml:math id="M134" 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 from modern soils (mean of 0.920 <inline-formula><mml:math id="M135" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">mg</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mtext>-</mml:mtext><mml:mi mathvariant="normal">C</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mi mathvariant="normal">g</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">C</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>)  compared to Brady Soil (mean of <inline-formula><mml:math id="M136" display="inline"><mml:mn mathvariant="normal">0.729</mml:mn></mml:math></inline-formula> <inline-formula><mml:math id="M137" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> <inline-formula><mml:math id="M138" display="inline"><mml:mn mathvariant="normal">0.034</mml:mn></mml:math></inline-formula> <inline-formula><mml:math id="M139" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">mg</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mtext>-</mml:mtext><mml:mi mathvariant="normal">C</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mi mathvariant="normal">g</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">C</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>, <inline-formula><mml:math id="M140" display="inline"><mml:mrow><mml:mi>p</mml:mi><mml:mo>&lt;</mml:mo><mml:mn mathvariant="normal">0.01</mml:mn></mml:mrow></mml:math></inline-formula>), but the reverse was observed at the greatest degree of burial. Respiration pulses declined over time for all soils. Control soils had a lower <inline-formula><mml:math id="M141" display="inline"><mml:mrow class="unit"><mml:msup><mml:mi mathvariant="normal">d</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> pulse <inline-formula><mml:math id="M142" 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> (mean of 0.295 <inline-formula><mml:math id="M143" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">mg</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mtext>-</mml:mtext><mml:mi mathvariant="normal">C</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mi mathvariant="normal">g</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">C</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>) compared to the dry-rewetting treatment (mean of 0.824 <inline-formula><mml:math id="M144" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">mg</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mtext>-</mml:mtext><mml:mi mathvariant="normal">C</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mi mathvariant="normal">g</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">C</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>, <inline-formula><mml:math id="M145" display="inline"><mml:mrow><mml:mi>p</mml:mi><mml:mo>&lt;</mml:mo><mml:mn mathvariant="normal">0.001</mml:mn></mml:mrow></mml:math></inline-formula>), but there was no significant difference between the cumulative <inline-formula><mml:math id="M146" 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 from control (21.9 <inline-formula><mml:math id="M147" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">mg</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mtext>-</mml:mtext><mml:mi mathvariant="normal">C</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mi mathvariant="normal">g</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">C</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>) and treatments (17.5 <inline-formula><mml:math id="M148" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">mg</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mtext>-</mml:mtext><mml:mi mathvariant="normal">C</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mi mathvariant="normal">g</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">C</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>) by the final day of incubation.</p>
      <p id="d2e3167">After 49 d of incubation under wet-dry cycles, the Brady Soil from both the burial and the erosional transects emitted significantly more cumulative <inline-formula><mml:math id="M149" 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> (0.0183 <inline-formula><mml:math id="M150" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">g</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mtext>-</mml:mtext><mml:mi mathvariant="normal">C</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mi mathvariant="normal">g</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">C</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>) than Brady Soil incubated under continuously wet conditions (<inline-formula><mml:math id="M151" display="inline"><mml:mn mathvariant="normal">0.009</mml:mn></mml:math></inline-formula> <inline-formula><mml:math id="M152" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> <inline-formula><mml:math id="M153" display="inline"><mml:mn mathvariant="normal">0.0005</mml:mn></mml:math></inline-formula> <inline-formula><mml:math id="M154" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">g</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mtext>-</mml:mtext><mml:mi mathvariant="normal">C</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mi mathvariant="normal">g</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">C</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>, <inline-formula><mml:math id="M155" display="inline"><mml:mrow><mml:mi>p</mml:mi><mml:mo>&lt;</mml:mo><mml:mn mathvariant="normal">0.001</mml:mn></mml:mrow></mml:math></inline-formula>). However, there was no significant difference between cumulative <inline-formula><mml:math id="M156" 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 modern soils incubated under wet-dry cycles versus continuous wet conditions.</p>
      <p id="d2e3286">The order of magnitude of total <inline-formula><mml:math id="M157" 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> emission after 49 d followed the order erosional modern <inline-formula><mml:math id="M158" display="inline"><mml:mo>&gt;</mml:mo></mml:math></inline-formula> erosional Brady <inline-formula><mml:math id="M159" display="inline"><mml:mo>&gt;</mml:mo></mml:math></inline-formula> burial modern <inline-formula><mml:math id="M160" display="inline"><mml:mo>&gt;</mml:mo></mml:math></inline-formula> burial Brady. Soils of the erosional transect (mean of 18.3 <inline-formula><mml:math id="M161" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">mg</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mtext>-</mml:mtext><mml:mi mathvariant="normal">C</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mi mathvariant="normal">g</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">C</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>) had significantly greater cumulative <inline-formula><mml:math id="M162" 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 compared to the burial transect (mean of <inline-formula><mml:math id="M163" display="inline"><mml:mn mathvariant="normal">16.7</mml:mn></mml:math></inline-formula> <inline-formula><mml:math id="M164" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> <inline-formula><mml:math id="M165" display="inline"><mml:mn mathvariant="normal">0.643</mml:mn></mml:math></inline-formula> <inline-formula><mml:math id="M166" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">mg</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mtext>-</mml:mtext><mml:mi mathvariant="normal">C</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mi mathvariant="normal">g</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">C</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>, <inline-formula><mml:math id="M167" display="inline"><mml:mrow><mml:mi>p</mml:mi><mml:mo>&lt;</mml:mo><mml:mn mathvariant="normal">0.01</mml:mn></mml:mrow></mml:math></inline-formula>). Modern soil had significantly greater cumulative <inline-formula><mml:math id="M168" 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 (mean of 16.7 <inline-formula><mml:math id="M169" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">mg</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mtext>-</mml:mtext><mml:mi mathvariant="normal">C</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mi mathvariant="normal">g</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">C</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>) than Brady Soil (mean of <inline-formula><mml:math id="M170" display="inline"><mml:mn mathvariant="normal">18.3</mml:mn></mml:math></inline-formula> <inline-formula><mml:math id="M171" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> <inline-formula><mml:math id="M172" display="inline"><mml:mn mathvariant="normal">0.390</mml:mn></mml:math></inline-formula> <inline-formula><mml:math id="M173" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">mg</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mtext>-</mml:mtext><mml:mi mathvariant="normal">C</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mi mathvariant="normal">g</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">C</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>, <inline-formula><mml:math id="M174" display="inline"><mml:mrow><mml:mi>p</mml:mi><mml:mo>&lt;</mml:mo><mml:mn mathvariant="normal">0.001</mml:mn></mml:mrow></mml:math></inline-formula>), but the difference was not significant at the intermediate degree of erosion. Modern soil with the highest degree of erosion emitted significantly more cumulative <inline-formula><mml:math id="M175" 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> (19.2 <inline-formula><mml:math id="M176" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">mg</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mtext>-</mml:mtext><mml:mi mathvariant="normal">C</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mi mathvariant="normal">g</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">C</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>) than modern soil with the greatest degree of burial (13.9 <inline-formula><mml:math id="M177" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">mg</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mtext>-</mml:mtext><mml:mi mathvariant="normal">C</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mi mathvariant="normal">g</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">C</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>, <inline-formula><mml:math id="M178" display="inline"><mml:mrow><mml:mi>p</mml:mi><mml:mo>&lt;</mml:mo><mml:mn mathvariant="normal">0.05</mml:mn></mml:mrow></mml:math></inline-formula>). However, the opposite was observed in Brady Soil, where that with the greatest degree of burial emitted more cumulative <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> (15.6 <inline-formula><mml:math id="M180" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">mg</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mtext>-</mml:mtext><mml:mi mathvariant="normal">C</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mi mathvariant="normal">g</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">C</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>) compared to the soil with the greatest degree of erosion (20.4 <inline-formula><mml:math id="M181" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">mg</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mtext>-</mml:mtext><mml:mi mathvariant="normal">C</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mi mathvariant="normal">g</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">C</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>, <inline-formula><mml:math id="M182" display="inline"><mml:mrow><mml:mi>p</mml:mi><mml:mo>&lt;</mml:mo><mml:mn mathvariant="normal">0.05</mml:mn></mml:mrow></mml:math></inline-formula>). Among the control soils, although Brady Soil emitted more cumulative <inline-formula><mml:math id="M183" 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> than modern soil, there was no significant difference. This was likely due to large variation of the depth-pooled samples (in absence of control replicates), as a result of the much larger <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> loss from Brady Soil of the erosional transect with the lowest degree of erosion compared to other samples.</p>
</sec>
<sec id="Ch1.S3.SS4">
  <label>3.4</label><title>Decay rates and fraction sizes of soil organic matter pools</title>
      <p id="d2e3730">The decomposition rate of the slow pool and size of the fast pool under continuous wetting is shown in Fig. <xref ref-type="fig" rid="F4"/> and the decomposition rate of SOM (single pool) under wet-dry cycles is shown in Fig. <xref ref-type="fig" rid="F5"/>. Statistical figures of merit of linear mixed-effects models are available online at DOI: <ext-link xlink:href="https://doi.org/10.17632/fjw646gpyf.1" ext-link-type="DOI">10.17632/fjw646gpyf.1</ext-link> <xref ref-type="bibr" rid="bib1.bibx55" id="paren.59"/>.</p>

      <fig id="F4"><label>Figure 4</label><caption><p id="d2e3745">Decay constant of the slow cycling pool of modern and Brady soils at different depths (from the soil surface), incubated under continuously wet conditions. Samples collected from burial and erosional transect types. Dotted line indicates exponential decay. Panel <bold>(b)</bold> indicates the size of the fast-cycling pool at different depths (from the soil surface) of the modern and Brady soils in burial and erosional transect types.</p></caption>
          <graphic xlink:href="https://soil.copernicus.org/articles/12/561/2026/soil-12-561-2026-f04.png"/>

        </fig>

      <fig id="F5"><label>Figure 5</label><caption><p id="d2e3759">Decay constant of the slow cycling pool of modern and Brady soils at different depths (from the soil surface), incubated under wet-dry cycling conditions. Samples collected from burial and erosional transect types. Dotted line indicates exponential decay.</p></caption>
          <graphic xlink:href="https://soil.copernicus.org/articles/12/561/2026/soil-12-561-2026-f05.png"/>

        </fig>

      <p id="d2e3769">The slow-cycling SOM pool under continuous wetting decayed ca. 2000 times more slowly than the fast-cycling pool, with a significantly lower mean decay rate in the burial transect (<inline-formula><mml:math id="M185" display="inline"><mml:mrow><mml:mn mathvariant="normal">8.68</mml:mn><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="normal">10</mml:mn><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">6</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M186" display="inline"><mml:mrow class="unit"><mml:msup><mml:mi mathvariant="normal">d</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> i.e., 315 years turnover time, henceforth referred to as TOT) compared to the erosional transect (<inline-formula><mml:math id="M187" display="inline"><mml:mrow><mml:mn mathvariant="normal">1.36</mml:mn><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="normal">10</mml:mn><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">5</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M188" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> <inline-formula><mml:math id="M189" display="inline"><mml:mrow><mml:mn mathvariant="normal">6.82</mml:mn><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="normal">10</mml:mn><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">7</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M190" display="inline"><mml:mrow class="unit"><mml:msup><mml:mi mathvariant="normal">d</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> i.e., 201 years TOT, <inline-formula><mml:math id="M191" display="inline"><mml:mrow><mml:mi>p</mml:mi><mml:mo>&lt;</mml:mo><mml:mn mathvariant="normal">0.01</mml:mn></mml:mrow></mml:math></inline-formula>). Thus, higher decay rates correspond to faster (shorter) turnover times throughout this section. The mean decay rate of the slow-cycling SOM pool of Brady Soil (<inline-formula><mml:math id="M192" display="inline"><mml:mrow><mml:mn mathvariant="normal">6.86</mml:mn><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="normal">10</mml:mn><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">6</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M193" display="inline"><mml:mrow class="unit"><mml:msup><mml:mi mathvariant="normal">d</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> i.e., 399 years TOT) was significantly lower than that of modern soil (<inline-formula><mml:math id="M194" display="inline"><mml:mrow><mml:mn mathvariant="normal">1.54</mml:mn><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="normal">10</mml:mn><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">5</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M195" display="inline"><mml:mrow class="unit"><mml:msup><mml:mi mathvariant="normal">d</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M196" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> <inline-formula><mml:math id="M197" display="inline"><mml:mrow><mml:mn mathvariant="normal">6.82</mml:mn><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="normal">10</mml:mn><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">7</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>, i.e., 178 years TOT, <inline-formula><mml:math id="M198" display="inline"><mml:mrow><mml:mi>p</mml:mi><mml:mo>&lt;</mml:mo><mml:mn mathvariant="normal">0.001</mml:mn></mml:mrow></mml:math></inline-formula>). The mean decay rate of the slow-cycling SOM pool of modern soil in the burial transect was significantly greater at the greatest degree of burial (<inline-formula><mml:math id="M199" display="inline"><mml:mrow><mml:mn mathvariant="normal">1.53</mml:mn><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="normal">10</mml:mn><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">5</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M200" display="inline"><mml:mrow class="unit"><mml:msup><mml:mi mathvariant="normal">d</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> i.e., 178 years TOT), compared to the lowest degree of burial (<inline-formula><mml:math id="M201" display="inline"><mml:mrow><mml:mn mathvariant="normal">9.97</mml:mn><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="normal">10</mml:mn><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">6</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M202" display="inline"><mml:mrow class="unit"><mml:msup><mml:mi mathvariant="normal">d</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> i.e., 275 years TOT, <inline-formula><mml:math id="M203" display="inline"><mml:mrow><mml:mi>p</mml:mi><mml:mo>&lt;</mml:mo><mml:mn mathvariant="normal">0.05</mml:mn></mml:mrow></mml:math></inline-formula>).</p>
      <p id="d2e4053">The mean decay rate of the fast-cycling SOM pool of the erosional transect (0.130 <inline-formula><mml:math id="M204" display="inline"><mml:mrow class="unit"><mml:msup><mml:mi mathvariant="normal">d</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> i.e., 7.68 d TOT) under continuous wetting was significantly higher (i.e., faster turnover) than that of the burial transect (<inline-formula><mml:math id="M205" display="inline"><mml:mn mathvariant="normal">0.126</mml:mn></mml:math></inline-formula> <inline-formula><mml:math id="M206" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> <inline-formula><mml:math id="M207" display="inline"><mml:mn mathvariant="normal">0.001</mml:mn></mml:math></inline-formula> <inline-formula><mml:math id="M208" display="inline"><mml:mrow class="unit"><mml:msup><mml:mi mathvariant="normal">d</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> i.e., 7.96 d TOT, <inline-formula><mml:math id="M209" display="inline"><mml:mrow><mml:mi>p</mml:mi><mml:mo>&lt;</mml:mo><mml:mn mathvariant="normal">0.05</mml:mn></mml:mrow></mml:math></inline-formula>). The mean decay rate of the fast-cycling SOM pool of Brady Soil in the erosional transect was significantly greater at the greatest degree of erosion (0.144 <inline-formula><mml:math id="M210" display="inline"><mml:mrow class="unit"><mml:msup><mml:mi mathvariant="normal">d</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> i.e., 6.96 d TOT) compared to the lowest degree of erosion (0.121 <inline-formula><mml:math id="M211" display="inline"><mml:mrow class="unit"><mml:msup><mml:mi mathvariant="normal">d</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> i.e., 8.25 d TOT, <inline-formula><mml:math id="M212" display="inline"><mml:mrow><mml:mi>p</mml:mi><mml:mo>&lt;</mml:mo><mml:mn mathvariant="normal">0.01</mml:mn></mml:mrow></mml:math></inline-formula>).</p>
      <p id="d2e4158">The decay rate of SOM (one-pool model) under wet-dry cycles did not differ significantly among soils of different paleostatus or transect type. In the two-pool model, the decay rate of the slow-cycling SOM pool under wet-dry cycles was significantly higher in the erosional transect (0.007 <inline-formula><mml:math id="M213" display="inline"><mml:mrow class="unit"><mml:msup><mml:mi mathvariant="normal">d</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> i.e., 129 d TOT) compared to the burial transect (<inline-formula><mml:math id="M214" display="inline"><mml:mn mathvariant="normal">0.009</mml:mn></mml:math></inline-formula> <inline-formula><mml:math id="M215" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> <inline-formula><mml:math id="M216" display="inline"><mml:mn>.0002</mml:mn></mml:math></inline-formula> <inline-formula><mml:math id="M217" display="inline"><mml:mrow class="unit"><mml:msup><mml:mi mathvariant="normal">d</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> i.e., 117 d TOT, <inline-formula><mml:math id="M218" display="inline"><mml:mrow><mml:mi>p</mml:mi><mml:mo>&lt;</mml:mo><mml:mn mathvariant="normal">0.05</mml:mn></mml:mrow></mml:math></inline-formula>), indicating faster SOM turnover where decay rates were higher. The decay rate of the fast-cycling SOM pool in the burial transect was significantly higher in modern soil (<inline-formula><mml:math id="M219" display="inline"><mml:mn mathvariant="normal">8.11</mml:mn></mml:math></inline-formula> <inline-formula><mml:math id="M220" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> <inline-formula><mml:math id="M221" display="inline"><mml:mn mathvariant="normal">1.94</mml:mn></mml:math></inline-formula> <inline-formula><mml:math id="M222" display="inline"><mml:mrow class="unit"><mml:msup><mml:mi mathvariant="normal">d</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> i.e., 0.123 d TOT) compared to Brady soil (0.558 <inline-formula><mml:math id="M223" display="inline"><mml:mrow class="unit"><mml:msup><mml:mi mathvariant="normal">d</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> i.e., 1.79 d TOT).</p>
      <p id="d2e4272">The slow-cycling pools of both modern and Brady Soil under continuous wetting contained a much greater proportion of total SOC (<inline-formula><mml:math id="M224" display="inline"><mml:mrow><mml:mo>&gt;</mml:mo><mml:mn mathvariant="normal">96</mml:mn></mml:mrow></mml:math></inline-formula> %) than the fast-cycling pool. The fraction size of the fast-cycling pool relative to the slow-cycling pool under continuous wetting was significantly greater in the erosional transect (0.014) compared to the burial transect (<inline-formula><mml:math id="M225" display="inline"><mml:mn mathvariant="normal">0.012</mml:mn></mml:math></inline-formula> <inline-formula><mml:math id="M226" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> <inline-formula><mml:math id="M227" display="inline"><mml:mn mathvariant="normal">0.0003</mml:mn></mml:math></inline-formula>, <inline-formula><mml:math id="M228" display="inline"><mml:mrow><mml:mi>p</mml:mi><mml:mo>&lt;</mml:mo><mml:mn mathvariant="normal">0.01</mml:mn></mml:mrow></mml:math></inline-formula>) and significantly greater in modern soils (0.0173) compared to Brady Soil (<inline-formula><mml:math id="M229" display="inline"><mml:mn mathvariant="normal">0.009</mml:mn></mml:math></inline-formula> <inline-formula><mml:math id="M230" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> <inline-formula><mml:math id="M231" display="inline"><mml:mn mathvariant="normal">0.0003</mml:mn></mml:math></inline-formula>, <inline-formula><mml:math id="M232" display="inline"><mml:mrow><mml:mi>p</mml:mi><mml:mo>&lt;</mml:mo><mml:mn mathvariant="normal">0.001</mml:mn></mml:mrow></mml:math></inline-formula>). The fraction size of the fast and slow pools tended to 0 and 1.0 respectively in all soils under wet-dry cycling, nullifying the statistical comparison results among soils of different paleostatus and transect types.</p>
</sec>
<sec id="Ch1.S3.SS5">
  <label>3.5</label><title>Decay rates and fraction sizes of soil organic matter pools in continuous wet versus wet-dry experiment</title>
      <p id="d2e4361">A summary of SOM decomposition model parameters (one-pool and two-pool) of the continuously wet and wet-dry cycling experiments is shown in Table <xref ref-type="table" rid="T2"/>. Statistical figures of merit of linear mixed-effects models are available online at DOI: <ext-link xlink:href="https://doi.org/10.17632/fjw646gpyf.1" ext-link-type="DOI">10.17632/fjw646gpyf.1</ext-link> <xref ref-type="bibr" rid="bib1.bibx55" id="paren.60"/>.</p>

<table-wrap id="T2" specific-use="star"><label>Table 2</label><caption><p id="d2e4375">Soil organic matter (SOM) decomposition parameters (decay rate <inline-formula><mml:math id="M233" display="inline"><mml:mi>k</mml:mi></mml:math></inline-formula> of one-pool model, decay rates of fast- (<inline-formula><mml:math id="M234" display="inline"><mml:mrow><mml:msub><mml:mi>k</mml:mi><mml:mtext>fast</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula>) and slow-cycling (<inline-formula><mml:math id="M235" display="inline"><mml:mrow><mml:msub><mml:mi>k</mml:mi><mml:mtext>slow</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula>) SOM pools, and fraction sizes of fast (<inline-formula><mml:math id="M236" display="inline"><mml:mrow><mml:msub><mml:mi>f</mml:mi><mml:mtext>fast</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula>) and slow (<inline-formula><mml:math id="M237" display="inline"><mml:mrow><mml:msub><mml:mi>f</mml:mi><mml:mtext>slow</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula>) pools, grouped by experiment, transect type, and paleostatus.</p></caption><oasis:table frame="topbot"><oasis:tgroup cols="9">
     <oasis:colspec colnum="1" colname="col1" align="left"/>
     <oasis:colspec colnum="2" colname="col2" align="right"/>
     <oasis:colspec colnum="3" colname="col3" align="right" colsep="1"/>
     <oasis:colspec colnum="4" colname="col4" align="right"/>
     <oasis:colspec colnum="5" colname="col5" align="right" colsep="1"/>
     <oasis:colspec colnum="6" colname="col6" align="right"/>
     <oasis:colspec colnum="7" colname="col7" align="right" colsep="1"/>
     <oasis:colspec colnum="8" colname="col8" align="right"/>
     <oasis:colspec colnum="9" colname="col9" align="right"/>
     <oasis:thead>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1">Experiment</oasis:entry>
         <oasis:entry namest="col2" nameend="col5" align="center" colsep="1">CW </oasis:entry>
         <oasis:entry namest="col6" nameend="col9" align="center">WD </oasis:entry>
       </oasis:row>
     </oasis:thead>
     <oasis:tbody>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1">Transect type</oasis:entry>
         <oasis:entry namest="col2" nameend="col3" align="center" colsep="1">Burial </oasis:entry>
         <oasis:entry namest="col4" nameend="col5" align="center" colsep="1">Erosional </oasis:entry>
         <oasis:entry namest="col6" nameend="col7" align="center" colsep="1">Burial </oasis:entry>
         <oasis:entry namest="col8" nameend="col9" align="center">Erosional </oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1">Paleostatus</oasis:entry>
         <oasis:entry colname="col2">Brady</oasis:entry>
         <oasis:entry colname="col3">Modern</oasis:entry>
         <oasis:entry colname="col4">Brady</oasis:entry>
         <oasis:entry colname="col5">Modern</oasis:entry>
         <oasis:entry colname="col6">Brady</oasis:entry>
         <oasis:entry colname="col7">Modern</oasis:entry>
         <oasis:entry colname="col8">Brady</oasis:entry>
         <oasis:entry colname="col9">Modern</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"><inline-formula><mml:math id="M238" display="inline"><mml:mi>k</mml:mi></mml:math></inline-formula> (one pool)</oasis:entry>
         <oasis:entry colname="col2">0.0107</oasis:entry>
         <oasis:entry colname="col3">0.0099</oasis:entry>
         <oasis:entry colname="col4">0.0069</oasis:entry>
         <oasis:entry colname="col5">0.0072</oasis:entry>
         <oasis:entry colname="col6">0.0071</oasis:entry>
         <oasis:entry colname="col7">0.0067</oasis:entry>
         <oasis:entry colname="col8">0.0074</oasis:entry>
         <oasis:entry colname="col9">0.0074</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"><inline-formula><mml:math id="M239" display="inline"><mml:mrow><mml:msub><mml:mi>k</mml:mi><mml:mtext>slow</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col2"><inline-formula><mml:math id="M240" display="inline"><mml:mrow><mml:mo>&lt;</mml:mo><mml:mn mathvariant="normal">0.0001</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col3"><inline-formula><mml:math id="M241" display="inline"><mml:mrow><mml:mo>&lt;</mml:mo><mml:mn mathvariant="normal">0.0001</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col4"><inline-formula><mml:math id="M242" display="inline"><mml:mrow><mml:mo>&lt;</mml:mo><mml:mn mathvariant="normal">0.0001</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col5"><inline-formula><mml:math id="M243" display="inline"><mml:mrow><mml:mo>&lt;</mml:mo><mml:mn mathvariant="normal">0.0001</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col6">0.0080</oasis:entry>
         <oasis:entry colname="col7">0.0074</oasis:entry>
         <oasis:entry colname="col8">0.0086</oasis:entry>
         <oasis:entry colname="col9">0.0084</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"><inline-formula><mml:math id="M244" display="inline"><mml:mrow><mml:msub><mml:mi>k</mml:mi><mml:mtext>fast</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col2">0.1250</oasis:entry>
         <oasis:entry colname="col3">0.1264</oasis:entry>
         <oasis:entry colname="col4">0.1333</oasis:entry>
         <oasis:entry colname="col5">0.1270</oasis:entry>
         <oasis:entry colname="col6">0.6931</oasis:entry>
         <oasis:entry colname="col7">6.3419</oasis:entry>
         <oasis:entry colname="col8">0.4222</oasis:entry>
         <oasis:entry colname="col9">9.8728</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"><inline-formula><mml:math id="M245" display="inline"><mml:mrow><mml:msub><mml:mi>f</mml:mi><mml:mtext>slow</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col2">0.9920</oasis:entry>
         <oasis:entry colname="col3">0.9836</oasis:entry>
         <oasis:entry colname="col4">0.9903</oasis:entry>
         <oasis:entry colname="col5">0.9818</oasis:entry>
         <oasis:entry colname="col6">0.9990</oasis:entry>
         <oasis:entry colname="col7">0.9990</oasis:entry>
         <oasis:entry colname="col8">0.9990</oasis:entry>
         <oasis:entry colname="col9">0.9990</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"><inline-formula><mml:math id="M246" display="inline"><mml:mrow><mml:msub><mml:mi>f</mml:mi><mml:mtext>fast</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col2">0.0080</oasis:entry>
         <oasis:entry colname="col3">0.0164</oasis:entry>
         <oasis:entry colname="col4">0.0097</oasis:entry>
         <oasis:entry colname="col5">0.0182</oasis:entry>
         <oasis:entry colname="col6">0.0010</oasis:entry>
         <oasis:entry colname="col7">0.0010</oasis:entry>
         <oasis:entry colname="col8">0.0010</oasis:entry>
         <oasis:entry colname="col9">0.0010</oasis:entry>
       </oasis:row>
     </oasis:tbody>
   </oasis:tgroup></oasis:table></table-wrap>

      <p id="d2e4751">With the one-pool models, the continuously wet soils had a significantly higher decay rate (0.00865 <inline-formula><mml:math id="M247" display="inline"><mml:mrow class="unit"><mml:msup><mml:mi mathvariant="normal">d</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> i.e., 116 d TOT) compared to the wet-dry cycles (0.00714 <inline-formula><mml:math id="M248" display="inline"><mml:mrow class="unit"><mml:msup><mml:mi mathvariant="normal">d</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> i.e., 140 d TOT, <inline-formula><mml:math id="M249" display="inline"><mml:mrow><mml:mi>p</mml:mi><mml:mo>&lt;</mml:mo><mml:mn mathvariant="normal">0.01</mml:mn></mml:mrow></mml:math></inline-formula>), indicating faster turnover under continuous wetting. In the burial transect, the one-pool decay constant of the continuous wet experiment was significantly higher (0.0103 <inline-formula><mml:math id="M250" display="inline"><mml:mrow class="unit"><mml:msup><mml:mi mathvariant="normal">d</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> i.e., 97.4 d TOT) than that of the wet-dry cycling experiment (0.00690 <inline-formula><mml:math id="M251" display="inline"><mml:mrow class="unit"><mml:msup><mml:mi mathvariant="normal">d</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> i.e., 145 d TOT, <inline-formula><mml:math id="M252" display="inline"><mml:mrow><mml:mi>p</mml:mi><mml:mo>&lt;</mml:mo><mml:mn mathvariant="normal">0.001</mml:mn></mml:mrow></mml:math></inline-formula>). However, there was no significant difference between the decay constant of the continuous wet and wet-dry experiments in erosional transects. These trends were observed in both Brady and modern soils.</p>
      <p id="d2e4836">Among the control soils with one-pool models, the continuous wet experiment had a significantly higher decay rate (0.0376 <inline-formula><mml:math id="M253" display="inline"><mml:mrow class="unit"><mml:msup><mml:mi mathvariant="normal">d</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> i.e., 26.6 d TOT) compared to the wet-dry cycling experiment (0.00146 <inline-formula><mml:math id="M254" display="inline"><mml:mrow class="unit"><mml:msup><mml:mi mathvariant="normal">d</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> i.e., 179 d TOT, <inline-formula><mml:math id="M255" display="inline"><mml:mrow><mml:mi>p</mml:mi><mml:mo>&lt;</mml:mo><mml:mn mathvariant="normal">0.001</mml:mn></mml:mrow></mml:math></inline-formula>), again meaning faster decomposition under continuous wetting. This was true in both burial (continuous wet <inline-formula><mml:math id="M256" display="inline"><mml:mrow><mml:mi>k</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">0.0374</mml:mn></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M257" display="inline"><mml:mrow class="unit"><mml:msup><mml:mi mathvariant="normal">d</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> i.e., 26.7 d TOT and wet-dry <inline-formula><mml:math id="M258" display="inline"><mml:mrow><mml:mi>k</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">0.00372</mml:mn></mml:mrow></mml:math></inline-formula> i.e., 268 d TOT) and erosional (<inline-formula><mml:math id="M259" display="inline"><mml:mrow><mml:mi>k</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">0.0377</mml:mn></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M260" display="inline"><mml:mrow class="unit"><mml:msup><mml:mi mathvariant="normal">d</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> i.e., 26.5 d TOT and wet-dry <inline-formula><mml:math id="M261" display="inline"><mml:mrow><mml:mi>k</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">0.00746</mml:mn></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M262" display="inline"><mml:mrow class="unit"><mml:msup><mml:mi mathvariant="normal">d</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> i.e., 134 d TOT) transects, as well as Brady (continuous wet <inline-formula><mml:math id="M263" display="inline"><mml:mrow><mml:mi>k</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">0.0376</mml:mn></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M264" display="inline"><mml:mrow class="unit"><mml:msup><mml:mi mathvariant="normal">d</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> i.e., 26.6 d TOT and wet-dry <inline-formula><mml:math id="M265" display="inline"><mml:mrow><mml:mi>k</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">0.00871</mml:mn></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M266" display="inline"><mml:mrow class="unit"><mml:msup><mml:mi mathvariant="normal">d</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> i.e., 115 d TOT) and modern (continuous wet <inline-formula><mml:math id="M267" display="inline"><mml:mrow><mml:mi>k</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">0.0375</mml:mn></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M268" display="inline"><mml:mrow class="unit"><mml:msup><mml:mi mathvariant="normal">d</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> i.e., 26.7 d TOT and wet-dry <inline-formula><mml:math id="M269" display="inline"><mml:mrow><mml:mi>k</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">0.00248</mml:mn></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M270" display="inline"><mml:mrow class="unit"><mml:msup><mml:mi mathvariant="normal">d</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> i.e., 404 d TOT) soils.</p>
      <p id="d2e5076">With the two-pool models, the decay rate of the slow-cycling SOM pool in the continuously wet experiment was significantly lower (<inline-formula><mml:math id="M271" display="inline"><mml:mrow><mml:mn mathvariant="normal">1.11</mml:mn><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="normal">10</mml:mn><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">5</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M272" display="inline"><mml:mrow class="unit"><mml:msup><mml:mi mathvariant="normal">d</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> i.e., 246 years TOT) than that of the wet-dry cycling experiment (0.00812 <inline-formula><mml:math id="M273" display="inline"><mml:mrow class="unit"><mml:msup><mml:mi mathvariant="normal">d</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> i.e., 123 d TOT, <inline-formula><mml:math id="M274" display="inline"><mml:mrow><mml:mi>p</mml:mi><mml:mo>&lt;</mml:mo><mml:mn mathvariant="normal">0.001</mml:mn></mml:mrow></mml:math></inline-formula>), reflecting faster turnover in the wet-dry treatments. This was true in both Brady (continuously wet <inline-formula><mml:math id="M275" display="inline"><mml:mrow><mml:mi>k</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">6.86</mml:mn><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="normal">10</mml:mn><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">6</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M276" display="inline"><mml:mrow class="unit"><mml:msup><mml:mi mathvariant="normal">d</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> i.e., 399 years TOT, wet-dry <inline-formula><mml:math id="M277" display="inline"><mml:mrow><mml:mi>k</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">0.0083</mml:mn></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M278" display="inline"><mml:mrow class="unit"><mml:msup><mml:mi mathvariant="normal">d</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> i.e., 120 d TOT) and modern (continuously wet <inline-formula><mml:math id="M279" display="inline"><mml:mrow><mml:mi>k</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">1.54</mml:mn><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="normal">10</mml:mn><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">5</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M280" display="inline"><mml:mrow class="unit"><mml:msup><mml:mi mathvariant="normal">d</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> i.e., 178 years TOT, wet-dry <inline-formula><mml:math id="M281" display="inline"><mml:mrow><mml:mi>k</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">0.00793</mml:mn></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M282" display="inline"><mml:mrow class="unit"><mml:msup><mml:mi mathvariant="normal">d</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> i.e., 126 d TOT) soils, as well as both burial (continuously wet <inline-formula><mml:math id="M283" display="inline"><mml:mrow><mml:mi>k</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">8.68</mml:mn><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="normal">10</mml:mn><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">6</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M284" display="inline"><mml:mrow class="unit"><mml:msup><mml:mi mathvariant="normal">d</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> i.e., 316 years TOT, wet-dry <inline-formula><mml:math id="M285" display="inline"><mml:mrow><mml:mi>k</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">0.00773</mml:mn></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M286" display="inline"><mml:mrow class="unit"><mml:msup><mml:mi mathvariant="normal">d</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> i.e., 129 d TOT) and erosional (continuously wet <inline-formula><mml:math id="M287" display="inline"><mml:mrow><mml:mi>k</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">1.36</mml:mn><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="normal">10</mml:mn><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">5</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M288" display="inline"><mml:mrow class="unit"><mml:msup><mml:mi mathvariant="normal">d</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> i.e., 202 years TOT, wet-dry <inline-formula><mml:math id="M289" display="inline"><mml:mrow><mml:mi>k</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">0.0085</mml:mn></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M290" display="inline"><mml:mrow class="unit"><mml:msup><mml:mi mathvariant="normal">d</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> i.e., 118 d TOT) transects, and at all degrees of burial and erosional exposure.</p>
      <p id="d2e5388">The decay rate of the fast-cycling SOM pool in modern soil was significantly higher in the wet-dry cycling experiment (8.11 <inline-formula><mml:math id="M291" display="inline"><mml:mrow class="unit"><mml:msup><mml:mi mathvariant="normal">d</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> i.e., 0.123 d TOT) compared to the continuously wet experiment (0.127 <inline-formula><mml:math id="M292" display="inline"><mml:mrow class="unit"><mml:msup><mml:mi mathvariant="normal">d</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> i.e., 7.89 d TOT, <inline-formula><mml:math id="M293" display="inline"><mml:mrow><mml:mi>p</mml:mi><mml:mo>&lt;</mml:mo><mml:mn mathvariant="normal">0.001</mml:mn></mml:mrow></mml:math></inline-formula>), indicating a much faster turnover response to rewetting. The decay rate of the fast-cycling pool in the erosional transect was also significantly higher in the wet-dry cycling experiment (5.148 <inline-formula><mml:math id="M294" display="inline"><mml:mrow class="unit"><mml:msup><mml:mi mathvariant="normal">d</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> i.e., 0.194 d TOT) compared to the continuously wet experiment (0.130 <inline-formula><mml:math id="M295" display="inline"><mml:mrow class="unit"><mml:msup><mml:mi mathvariant="normal">d</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> i.e., 7.68 d TOT). Separating these effects by degree of erosional exposure revealed that the significance of the difference between the fast pool decay rate in modern soils was more evident at the intermediate and lowest degree of erosion. The decay rate of the fast-cycling SOM pool did not differ significantly between continuously wet and wet-dry cycling experiments in Brady soils or in the burial transect.</p>
      <p id="d2e5459">Among the control soils with two-pool models, the continuous wet experiment had significantly lower slow pool decay rate (<inline-formula><mml:math id="M296" display="inline"><mml:mrow><mml:mn mathvariant="normal">1</mml:mn><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="normal">10</mml:mn><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">8</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M297" display="inline"><mml:mrow class="unit"><mml:msup><mml:mi mathvariant="normal">d</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> i.e., 274 000 years TOT) compared to the wet-dry cycling experiment (<inline-formula><mml:math id="M298" display="inline"><mml:mrow><mml:mi>k</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">0.005</mml:mn></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M299" display="inline"><mml:mrow class="unit"><mml:msup><mml:mi mathvariant="normal">d</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> i.e., 200 d TOT, <inline-formula><mml:math id="M300" display="inline"><mml:mrow><mml:mi>p</mml:mi><mml:mo>&lt;</mml:mo><mml:mn mathvariant="normal">0.01</mml:mn></mml:mrow></mml:math></inline-formula>), again corresponding to much faster turnover in the wet-dry treatments. This was true in both the burial and erosional transects, modern and Brady Soil and at all degrees of erosion and burial.</p>
      <p id="d2e5532">In contrast to the main soil dataset described above, the decay rate of the fast-cycling SOM pool of control Brady Soil was significantly higher in the wet-dry cycling experiment (0.0556 <inline-formula><mml:math id="M301" display="inline"><mml:mrow class="unit"><mml:msup><mml:mi mathvariant="normal">d</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> i.e., 18.0 d TOT) compared to the continuously wet experiment (10.3 <inline-formula><mml:math id="M302" display="inline"><mml:mrow class="unit"><mml:msup><mml:mi mathvariant="normal">d</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> i.e., 0.0971 d TOT). This was true in both burial and erosional transects. In modern control soils, however, there was no significant difference between decay rates of fast-cycling SOM in continuously wet versus wet-dry cycling experiments.</p>
      <p id="d2e5563">The fraction size of the slow-cycling SOM pool in the wet-dry cycling experiment was significantly larger (0.999) than that of the continuously wet experiment (0.987, <inline-formula><mml:math id="M303" display="inline"><mml:mrow><mml:mi>p</mml:mi><mml:mo>&lt;</mml:mo><mml:mn mathvariant="normal">0.001</mml:mn></mml:mrow></mml:math></inline-formula>) – this was true for both Brady and modern soils, across erosional and burial transects and at all degrees of erosion and burial. It follows that the fraction size of the fast-cycling SOM pool in wet-dry cycling experiments was significantly smaller (0.001) than that of the continuously wet experiment (0.0131, <inline-formula><mml:math id="M304" display="inline"><mml:mrow><mml:mi>p</mml:mi><mml:mo>&lt;</mml:mo><mml:mn mathvariant="normal">0.001</mml:mn></mml:mrow></mml:math></inline-formula>) for soils of all transect types, paleostatus groups and degrees of erosion and burial. There was no significantly difference between fraction sizes of the slow-cycling SOM pool among the controls of the wet-dry cycling and continuously wet experiment; the fast-cycling pool was also similar among control soils of the two experiments.</p>
</sec>
<sec id="Ch1.S3.SS6">
  <label>3.6</label><title>Relationships between soil properties and carbon dynamics</title>
      <p id="d2e5598">The true versus predicted values  MLR models for prediction of decomposition rates of the fast- and slow-cycling pools as well as the fraction size of the slow pool are shown in the Appendix, Fig. <xref ref-type="fig" rid="FA2"/>. A matrix showing the correlation between these variables is given in Fig. <xref ref-type="fig" rid="F6"/>. The intercept, coefficients of explanatory variables, RMSE and <inline-formula><mml:math id="M305" 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> of the best-performing MLR models, are summarized in Table <xref ref-type="table" rid="T3"/> and the full equations are in the Appendix (Multiple linear regression equations).</p>

      <fig id="F6" specific-use="star"><label>Figure 6</label><caption><p id="d2e5620">Correlation between soil physicochemical properties and modeled soil organic matter decomposition parameters (decay constant, <inline-formula><mml:math id="M306" display="inline"><mml:mi>k</mml:mi></mml:math></inline-formula>, and fraction of C in slow pool, <inline-formula><mml:math id="M307" display="inline"><mml:mi>f</mml:mi></mml:math></inline-formula>) for fast- and slow-cycling pools in modern and Brady soils incubated under continuously wet conditions. Decomposition parameters were obtained by multiple linear regression across burial and erosional transects. The statistical significance of each correlation is denoted by asterisks (<sup>∗∗∗</sup> for <inline-formula><mml:math id="M309" display="inline"><mml:mrow><mml:mi>p</mml:mi><mml:mo>&lt;</mml:mo><mml:mn mathvariant="normal">0.001</mml:mn></mml:mrow></mml:math></inline-formula>, <sup>∗∗</sup> for <inline-formula><mml:math id="M311" display="inline"><mml:mrow><mml:mi>p</mml:mi><mml:mo>&lt;</mml:mo><mml:mn mathvariant="normal">0.01</mml:mn></mml:mrow></mml:math></inline-formula>, <sup>∗</sup> for <inline-formula><mml:math id="M313" display="inline"><mml:mrow><mml:mi>p</mml:mi><mml:mo>&lt;</mml:mo><mml:mn mathvariant="normal">0.05</mml:mn></mml:mrow></mml:math></inline-formula>).</p></caption>
          <graphic xlink:href="https://soil.copernicus.org/articles/12/561/2026/soil-12-561-2026-f06.png"/>

        </fig>

<table-wrap id="T3" specific-use="star"><label>Table 3</label><caption><p id="d2e5718">Summary of multiple linear regression models showing key positive (<inline-formula><mml:math id="M314" display="inline"><mml:mo lspace="0mm">+</mml:mo></mml:math></inline-formula>) and negative (<inline-formula><mml:math id="M315" display="inline"><mml:mo lspace="0mm">-</mml:mo></mml:math></inline-formula>) predictors of model parameters (proportions of fast and slow cycling fractions of TOC, i.e., <inline-formula><mml:math id="M316" display="inline"><mml:mrow><mml:msub><mml:mi>f</mml:mi><mml:mi mathvariant="normal">f</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M317" display="inline"><mml:mrow><mml:msub><mml:mi>f</mml:mi><mml:mi mathvariant="normal">s</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> and the corresponding decay rate constants <inline-formula><mml:math id="M318" display="inline"><mml:mrow><mml:msub><mml:mi>k</mml:mi><mml:mi mathvariant="normal">f</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M319" display="inline"><mml:mrow><mml:msub><mml:mi>k</mml:mi><mml:mi mathvariant="normal">s</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>), model performance (<inline-formula><mml:math id="M320" 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>), and root mean square error (RMSE).</p></caption><oasis:table frame="topbot"><oasis:tgroup cols="5">
     <oasis:colspec colnum="1" colname="col1" align="left"/>
     <oasis:colspec colnum="2" colname="col2" align="left"/>
     <oasis:colspec colnum="3" colname="col3" align="left"/>
     <oasis:colspec colnum="4" colname="col4" align="right"/>
     <oasis:colspec colnum="5" colname="col5" align="right"/>
     <oasis:thead>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1">Model parameter</oasis:entry>
         <oasis:entry colname="col2">Key (<inline-formula><mml:math id="M321" display="inline"><mml:mo lspace="0mm">+</mml:mo></mml:math></inline-formula>) predictors</oasis:entry>
         <oasis:entry colname="col3">Key (<inline-formula><mml:math id="M322" display="inline"><mml:mo lspace="0mm">-</mml:mo></mml:math></inline-formula>) predictors</oasis:entry>
         <oasis:entry colname="col4"><inline-formula><mml:math id="M323" 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></oasis:entry>
         <oasis:entry colname="col5">RMSE</oasis:entry>
       </oasis:row>
     </oasis:thead>
     <oasis:tbody>
       <oasis:row>
         <oasis:entry colname="col1"><inline-formula><mml:math id="M324" display="inline"><mml:mrow><mml:msub><mml:mi>k</mml:mi><mml:mtext>slow</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col2">clay, Ca, EC</oasis:entry>
         <oasis:entry colname="col3">SAR, Mg, K, pH, TOC, TIC</oasis:entry>
         <oasis:entry colname="col4">0.98</oasis:entry>
         <oasis:entry colname="col5"><inline-formula><mml:math id="M325" display="inline"><mml:mrow><mml:mn mathvariant="normal">7.01</mml:mn><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="normal">10</mml:mn><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">7</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula></oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"><inline-formula><mml:math id="M326" display="inline"><mml:mrow><mml:msub><mml:mi>k</mml:mi><mml:mtext>fast</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col2">SAR, clay, Ca, Mg, TIC</oasis:entry>
         <oasis:entry colname="col3">K, EC, pH</oasis:entry>
         <oasis:entry colname="col4">0.95</oasis:entry>
         <oasis:entry colname="col5"><inline-formula><mml:math id="M327" display="inline"><mml:mrow><mml:mn mathvariant="normal">1.41</mml:mn><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="normal">10</mml:mn><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula></oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"><inline-formula><mml:math id="M328" display="inline"><mml:mrow><mml:msub><mml:mi>f</mml:mi><mml:mtext>slow</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col2">SAR, Mg, K, pH, TIC</oasis:entry>
         <oasis:entry colname="col3">clay, Ca, EC, TOC</oasis:entry>
         <oasis:entry colname="col4">0.97</oasis:entry>
         <oasis:entry colname="col5"><inline-formula><mml:math id="M329" display="inline"><mml:mrow><mml:mn mathvariant="normal">8.38</mml:mn><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="normal">10</mml:mn><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">4</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula></oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"><inline-formula><mml:math id="M330" display="inline"><mml:mrow><mml:msub><mml:mi>f</mml:mi><mml:mtext>fast</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col2">clay, Ca, EC, TOC</oasis:entry>
         <oasis:entry colname="col3">SAR, Mg, K, pH, TIC</oasis:entry>
         <oasis:entry colname="col4">0.97</oasis:entry>
         <oasis:entry colname="col5"><inline-formula><mml:math id="M331" display="inline"><mml:mrow><mml:mn mathvariant="normal">8.38</mml:mn><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="normal">10</mml:mn><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">4</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula></oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"><inline-formula><mml:math id="M332" display="inline"><mml:mrow><mml:msub><mml:mi>k</mml:mi><mml:mtext>one-pool</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col2">clay, K, pH, TOC</oasis:entry>
         <oasis:entry colname="col3">SAR, Ca, Mg</oasis:entry>
         <oasis:entry colname="col4">0.94</oasis:entry>
         <oasis:entry colname="col5"><inline-formula><mml:math id="M333" display="inline"><mml:mrow><mml:mn mathvariant="normal">2.15</mml:mn><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="normal">10</mml:mn><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">4</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula></oasis:entry>
       </oasis:row>
     </oasis:tbody>
   </oasis:tgroup></oasis:table></table-wrap>

      <p id="d2e6070">The MLR models for prediction of decay rates of SOM under continuous wetting had better model fit (<inline-formula><mml:math id="M334" 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">0.80</mml:mn></mml:mrow></mml:math></inline-formula>) compared to those for predictions of SOM pool fraction size (<inline-formula><mml:math id="M335" display="inline"><mml:mrow><mml:msup><mml:mi>R</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msup><mml:mo>=</mml:mo><mml:mn mathvariant="normal">0.44</mml:mn></mml:mrow></mml:math></inline-formula>). From the MLR equations, we deduce that soil properties with the greatest coefficients had the most important effects on the SOM decay rate and fraction size model parameters. While SAR increased the rate of decay and decreased the size of the of the slow pool, an opposite trend is observed in the fast pool.</p>
      <p id="d2e6103">TOC and pH also increased the decay rate of the fast-cycling SOM pool under continuous wetting, while the slow pool decay rate decreased with increasing TIC. TOC and TIC increased the fraction size of the slow pool at the expense of fraction size of the fast pool. When considering effects of these factors individually, SAR, TOC, TIC and pH did not have significant correlation with SOM decomposition parameters (Fig. <xref ref-type="fig" rid="F6"/>). However, exchangeable Mg and K content were significantly correlated with the decay rate of the fast (negative correlation) and slow (positive correlation) pools (Fig. <xref ref-type="fig" rid="F6"/>).</p>
      <p id="d2e6110">The true versus predicted values MLR models for prediction of the decomposition rate of SOM (one-pool system) under wet-dry cycles are shown in the Appendix, Fig. <xref ref-type="fig" rid="FA3"/>. A matrix showing the correlation between these variables is given in Appendix, Fig. <xref ref-type="fig" rid="FA4"/>.</p>
      <p id="d2e6117">The intercept, coefficients of explanatory variables, RMSE and <inline-formula><mml:math id="M336" 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> of the best-performing MLR model for prediction of the decay rate, are given summarized in Table <xref ref-type="table" rid="T3"/> and the full equation is in the Appendix (Multiple linear regression equations).</p>
      <p id="d2e6133">SAR decreased the decay rate of SOM under wet-dry cycles. Clay and TOC content increased the decay rate of SOM. Exchangeable Ca, Mg content decreased the decay rates of both pools. Considering these parameters individually (correlation coefficients) revealed a weak correlation with <inline-formula><mml:math id="M337" display="inline"><mml:mi>k</mml:mi></mml:math></inline-formula>. Therefore MLR, where <inline-formula><mml:math id="M338" display="inline"><mml:mi>k</mml:mi></mml:math></inline-formula> is modeled as a function of all predictors together, demonstrates that the combination of these variables explained most variance, while no single predictor explained much variance on its own.</p>
</sec>
</sec>
<sec id="Ch1.S4">
  <label>4</label><title>Discussion</title>
<sec id="Ch1.S4.SS1">
  <label>4.1</label><title>Stabilization of soil organic matter by burial</title>
      <p id="d2e6166">While our study characterizes decomposition dynamics using respirometry and radiocarbon-based modeling, we did not directly measure the molecular mechanisms responsible for differential SOC stability. Specifically, we did not quantify the chemical composition of mineral-associated organic matter, the nature of organo–mineral bonds, or microbial community composition. As a result, the mechanistic interpretations presented here are necessarily indirect.</p>
      <p id="d2e6169">The interpretations proposed in this study build on prior molecular and fractionation-based analyses conducted on the same soils and geomorphic transects <xref ref-type="bibr" rid="bib1.bibx43 bib1.bibx14" id="paren.61"/>. That work documented enhanced mineral association and cation-mediated stabilization in buried profiles. Rather than repeating those analyses, the present study extends this framework by quantifying how these stabilization contexts translate into differences in SOC turnover rates and pool structure under contrasting moisture regimes.</p>
      <p id="d2e6175">Brady Soil subjected to continuous wetting exhibited lower cumulative <inline-formula><mml:math id="M339" 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> evolution than modern soils across both erosional and burial transects (Fig. <xref ref-type="fig" rid="F2"/>; Appendix Fig. <xref ref-type="fig" rid="F3"/>). This pattern indicates reduced microbial mineralization in buried paleosols relative to surface soils under sustained moisture availability.</p>
      <p id="d2e6193">Multiple mechanisms may contribute to this enhanced stability, although their relative importance cannot be resolved with the current dataset. Previous work at this site reported elevated exchangeable <inline-formula><mml:math id="M340" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="normal">Ca</mml:mi><mml:mrow><mml:mn mathvariant="normal">2</mml:mn><mml:mo>+</mml:mo></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> concentrations in Brady soils and linked Ca-mediated flocculation to increased aggregate stability <xref ref-type="bibr" rid="bib1.bibx13" id="paren.62"/>. Our results are consistent with this interpretation. Specifically, Ca concentration was a positive predictor of slow-pool size in the MLR model. However, we did not directly measure aggregation or flocculation processes. As a result, the pathway linking Ca availability to reduced decomposition remains uncertain. Reduced decay could arise from physical protection within aggregates, reduced microbial access to substrates, or changes in solute diffusivity <xref ref-type="bibr" rid="bib1.bibx68" id="paren.63"/>. Within the scope of this study, <inline-formula><mml:math id="M341" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="normal">Ca</mml:mi><mml:mrow><mml:mn mathvariant="normal">2</mml:mn><mml:mo>+</mml:mo></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> therefore emerges as a statistically robust predictor of SOC pool structure, rather than a resolved mechanistic driver.</p>
      <p id="d2e6231">The potential contribution of pyrogenic carbon to SOC persistence in Brady soils is supported by prior molecular analyses from this site. These analyses identified condensed aromatic compounds consistent with fire-derived inputs <xref ref-type="bibr" rid="bib1.bibx43" id="paren.64"/>. Pyrogenic carbon was not quantified in the present study, and its direct influence on decomposition rates cannot be evaluated here. Nonetheless, its documented persistence provides important context for interpreting the slow-cycling SOC pool observed in Brady soils. Our results are therefore compatible with a stabilization legacy established during Brady Soil formation, rather than evidence of an active pyrogenic control on contemporary decomposition.</p>
      <p id="d2e6237">Modern soils exhibited a slightly larger relative size of the fast-cycling SOM pool than Brady soils, which likely reflects recent organic inputs. Direct comparison of decay parameters further highlights differences in SOM persistence between soil types (Fig. <xref ref-type="fig" rid="F4"/>). The slow-cycling pool in Brady soils from the most erosional transect had significantly lower decay rates under continuous wetting than the corresponding pool in modern soils. This provides clear evidence of greater SOM persistence in the paleosol.</p>
      <p id="d2e6242">Across all treatments, the slow pool decayed approximately 2000 times more slowly than the fast pool (Appendix, Fig. <xref ref-type="fig" rid="FA2"/>). The slow-cycling pool of the Brady Soil exhibited a turnover time (TOTs) of approximately 399 years, whereas the slow-cycling pool of modern soil exhibited a TOT of approximately 178 years. The MLR models further showed a negative relationship between slow-pool decay rate (<inline-formula><mml:math id="M342" display="inline"><mml:mrow><mml:msub><mml:mi>k</mml:mi><mml:mtext>slow</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula>) and both total inorganic carbon (TIC) and exchangeable <inline-formula><mml:math id="M343" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="normal">Mg</mml:mi><mml:mrow><mml:mn mathvariant="normal">2</mml:mn><mml:mo>+</mml:mo></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> (Eq. <xref ref-type="disp-formula" rid="App1.Ch1.S1.E4"/>). Although <inline-formula><mml:math id="M344" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CaCO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> cementation was not pronounced, positive correlations between TOC, TIC, and Ca in Brady soils from erosional transects <xref ref-type="bibr" rid="bib1.bibx13" id="paren.65"/> suggest that carbonate-associated phases may contribute to stabilization where shallow wetting promotes near-surface carbonate precipitation.</p>
      <p id="d2e6289">The association between finer texture and reduced SOC decomposition observed in this study aligns with established theory linking clay-rich soils to enhanced mineral-associated organic matter formation <xref ref-type="bibr" rid="bib1.bibx68" id="paren.66"/>. Clay content was a significant predictor of slow-pool dynamics in the MLR models, indicating that particle size exerts a first-order control on SOC accessibility. However, because mineral surface chemistry and sorption energetics were not resolved, texture is interpreted here as a proxy for stabilization potential rather than as a direct mechanistic control, given the complexity of detangling texture and mineralogical controls <xref ref-type="bibr" rid="bib1.bibx62" id="paren.67"/>.</p>
      <p id="d2e6298">The slow-cycling SOM pool dominated total soil C, accounting for more than 96 % of SOC (Fig. <xref ref-type="fig" rid="F4"/>b). The size of this pool increased with increasing TOC and TIC (Eq. <xref ref-type="disp-formula" rid="App1.Ch1.S1.E4"/>) and was accompanied by a corresponding decline in the fast-cycling pool. The fast pool consistently represented a larger fraction of total SOC in modern soils than in Brady soils, and in erosional transects than in burial transects. Together, these patterns indicate stronger stabilization in buried paleosols and underscore the central role of the slow-cycling pool in long-term SOC persistence.</p>
      <p id="d2e6305">Apparent relationships between sodium adsorption ratio (SAR), exchangeable cations, decay rates, and pool sizes in the MLR models (Eqs. <xref ref-type="disp-formula" rid="App1.Ch1.S1.E4"/>–<xref ref-type="disp-formula" rid="App1.Ch1.S1.E7"/>; Fig. <xref ref-type="fig" rid="F6"/>) should be interpreted cautiously. These correlations may reflect shared depth-dependent trends rather than direct mechanistic links. Both TOC and microbial biomass typically decline with depth <xref ref-type="bibr" rid="bib1.bibx16 bib1.bibx78" id="paren.68"/>, which contributes to reduced respiration in deeper Brady soils. At the same time, Na tends to accumulate at depth through leaching <xref ref-type="bibr" rid="bib1.bibx13" id="paren.69"/>, with accumulation depth depending on precipitation and soil water status.</p>
</sec>
<sec id="Ch1.S4.SS2">
  <label>4.2</label><title>Destabilization of SOM by erosion and moisture variability</title>
      <p id="d2e6328">Greater cumulative C loss from shallower soils, combined with a smaller fast-cycling SOM pool and a significantly higher slow-pool decay rate in erosional Brady soils compared to burial Brady soils (Fig. <xref ref-type="fig" rid="F4"/>a), highlights the destabilizing effect of surface exposure. This pattern indicates that erosion weakens burial-associated protection.</p>
      <p id="d2e6333"><inline-formula><mml:math id="M345" 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 during the initial phase of wet–dry cycling were larger in erosional transects than in burial transects (Fig. <xref ref-type="fig" rid="FA1"/>). These pulses suggest enhanced mineralization in Brady soils closer to the surface. One likely explanation is priming by root exudates and fresh organic inputs, amplified by bioturbation <xref ref-type="bibr" rid="bib1.bibx59 bib1.bibx48" id="paren.70"/>. This interpretation is supported by higher fraction modern values in erosional Brady soils relative to burial Brady soils, as well as by convergence of slow-pool fraction modern values toward those of modern soils <xref ref-type="bibr" rid="bib1.bibx14" id="paren.71"/>.</p>
      <p id="d2e6354">Enhanced decomposition in shallower Brady soils likely reflects both legacy exposure and contemporary environmental conditions. Shallower positions experience more frequent wetting and greater oxygen diffusion, which can prime microbial communities for rapid response following rewetting. Separating long-term exposure effects from ongoing environmental controls would require experimental manipulation of burial depth, which represents an important avenue for future research.</p>
      <p id="d2e6357">In the wet–dry experiment, erosion effects were further expressed in decay dynamics. Slow pools decayed faster in erosional transects than in burial transects, whereas fast pools decomposed more rapidly in modern soils than in Brady soils. The fraction of the slow pool was smaller under continuous wetting than under wet–dry cycling, indicating greater allocation to slow-cycling carbon under variable moisture. However, the slow pool also exhibited substantially higher decay rates under wet–dry cycling. This suggests that apparent stabilization under variable moisture is transient and may be offset over time by depletion of passive C reserves.</p>
      <p id="d2e6361">The accelerated decay of slow-pool SOC under drying–rewetting cycles demonstrates that burial-associated protection is not absolute, even for millennially persistent carbon. Potential mechanisms include aggregate disruption, increased solute transport, or shifts in microbial accessibility. While the present study cannot resolve these pathways, it clearly documents the outcome: enhanced decomposition of previously slow-cycling SOC under moisture variability.</p>
      <p id="d2e6364">Moisture variability also amplified turnover of the fast-cycling pool. Decay rates of the fast pool increased under wet–dry cycling, particularly in modern soils and erosional transects. This pattern supports the interpretation that fresh organic inputs and surface exposure accelerate labile C turnover under fluctuating moisture. The MLR model reinforces this interpretation by revealing a positive relationship between TOC and fast-pool decay rate (Eq. <xref ref-type="disp-formula" rid="App1.Ch1.S1.E7"/>). In contrast, the absence of strong moisture effects in Brady soils suggests that burial dampens moisture-driven variability in labile C decomposition.</p>
      <p id="d2e6369"><xref ref-type="bibr" rid="bib1.bibx47" id="text.72"/> simulated soil hydrology for the Brady Soil, overlying loess, and modern soil using measured hydraulic properties and regional weather data from 2009–2019. Modeled water contents remained low and relatively constant below 1.5 m depth from the surface, including within the Brady Soil, with only rare deep wetting events following major rainfall. Paleoclimate reconstructions indicate that the depth of frequent wetting would have been even shallower during drier-than-modern periods over the past 10 000 years <xref ref-type="bibr" rid="bib1.bibx49" id="paren.73"/>. Together, these results suggest that prolonged dry conditions played a major role in OC sequestration where the Brady Soil is deeply buried, whereas erosion and increased moisture variability could promote renewed C loss.</p>
      <p id="d2e6377">Geomorphic position integrates multiple stabilization controls by regulating burial depth, moisture exposure, oxygen availability, and the persistence of mineral–organic associations. In this sense, geomorphic context operates as a higher-order constraint that modulates how chemical and physical stabilization mechanisms are expressed through time. This aligns with conceptual frameworks suggesting that spatial patterns of soil organic carbon (SOC) are fundamentally shaped by the interplay between biological cycling and geomorphic processes like erosion and deposition <xref ref-type="bibr" rid="bib1.bibx79" id="paren.74"/>. Furthermore, topography acts as a primary control on SOC distribution by mediating local microclimate and the lateral transport of soil material across mantled landscapes <xref ref-type="bibr" rid="bib1.bibx58" id="paren.75"/>. These findings challenge the common assumption in soil carbon modeling that geomorphic context can be neglected when parameterizing decomposition rates. Recent evidence underscores that geomorphic settings not only dictate the abundance of SOC but also the persistence of specific carbon pools, particularly in erosional landscapes where geomorphic history defines the vulnerability of buried carbon <xref ref-type="bibr" rid="bib1.bibx26" id="paren.76"/>. Our results show that erosional exposure accelerates slow-pool decay under continuous wetting, and that wet–dry cycling destabilizes slow-pool carbon regardless of landscape position. For Earth system models that treat subsoil carbon as a passive reservoir, these dynamics represent a substantial and underappreciated vulnerability. Accurately predicting SOC responses to changing precipitation regimes therefore requires explicit consideration of burial depth and exposure history, which are rarely incorporated into current modeling frameworks.</p>
</sec>
</sec>
<sec id="Ch1.S5" sec-type="conclusions">
  <label>5</label><title>Conclusions</title>
      <p id="d2e6399">When interpreted alongside prior molecular- and fractionation-based analyses from this site <xref ref-type="bibr" rid="bib1.bibx43 bib1.bibx13 bib1.bibx14" id="paren.77"/>, our results suggest that long-term SOC persistence in Brady soils arises from the convergence of mineral association, cation-mediated stabilization, and limited environmental exposure. The present study extends this framework by demonstrating that these stabilization contexts remain vulnerable to hydrologic perturbation and geomorphic re-exposure. Although this study does not resolve molecular-scale mechanisms directly, it demonstrates that decomposition parameters derived from incubation and radiocarbon modeling are highly sensitive to landscape history – an effect that must be accounted for even when detailed chemical data are unavailable.</p>
      <p id="d2e6405">Our study demonstrates that SOC decomposition is strongly shaped by soil moisture regime and landscape position, with modern and Brady soils responding differently to continuous wetting versus drying–rewetting cycles. Water availability exerted disproportionate effects in erosional settings where surface exposure enhanced substrate diffusivity, highlighting the destabilizing role of re-exposure and moisture fluctuations.</p>
      <p id="d2e6408">Drying–rewetting cycles led to greater C losses from Brady soils than continuous wetting, despite modeling results indicating dominance of the slow pool and depletion of labile C. This treatment also accelerated fast pool decay in modern soils and erosional transects, while burial dampened such variability in Brady soils. Fraction sizes shifted accordingly: wet–dry cycles increased the proportion of the slow pool and reduced the fast pool fraction, suggesting redistribution of SOC toward more stabilized forms under fluctuating moisture.</p>
      <p id="d2e6411">Depth further constrained SOM persistence, with slow pool decay constants declining with increasing degree of burial in Brady soils from burial transects. Faster turnover in shallow layers reflects greater microbial accessibility and responsiveness to surface-driven processes, underscoring the importance of geomorphic context – transect type, degree of burial, and soil structure – over intrinsic SOM chemistry.</p>
      <p id="d2e6415">Comparisons across models showed that continuous wetting accelerated overall decay, particularly in burial transects, while wet–dry cycles disproportionately destabilized the slow pool that dominates SOC. This dual effect – rapid labile C turnover under moisture fluctuations coupled with erosion of long-lived SOM persistence – points to heightened vulnerability of buried carbon under future precipitation variability.</p>
      <p id="d2e6418">Overall, the fate of ancient soil carbon under climate change will depend on both its burial history and prevailing moisture regime. Integrating these contrasting controls on fast- and slow-cycling pools into Earth system models is essential for improving predictions of soil carbon vulnerability and climate feedback.</p>
</sec>

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

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

<table-wrap id="TA1"><label>Table A1</label><caption><p id="d2e6436">Absolute sampling depth intervals i.e., depth from soil surface (standard deviation in brackets for <inline-formula><mml:math id="M346" 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>) of modern (surface) and Brady (burial) soils along two types of transects, where degrees of burial or exposure increase from degrees I to III. Table adapted from <xref ref-type="bibr" rid="bib1.bibx14" id="text.78"/>.</p></caption><oasis:table frame="topbot"><oasis:tgroup cols="8">
     <oasis:colspec colnum="1" colname="col1" align="left"/>
     <oasis:colspec colnum="2" colname="col2" align="left"/>
     <oasis:colspec colnum="3" colname="col3" align="right"/>
     <oasis:colspec colnum="4" colname="col4" align="right"/>
     <oasis:colspec colnum="5" colname="col5" align="right" colsep="1"/>
     <oasis:colspec colnum="6" colname="col6" align="right"/>
     <oasis:colspec colnum="7" colname="col7" align="right"/>
     <oasis:colspec colnum="8" colname="col8" align="right"/>
     <oasis:thead>
       <oasis:row>

         <oasis:entry colname="col1"/>

         <oasis:entry colname="col2"/>

         <oasis:entry rowsep="1" namest="col3" nameend="col8" align="center">Transect Type </oasis:entry>

       </oasis:row>
       <oasis:row>

         <oasis:entry colname="col1"/>

         <oasis:entry colname="col2"/>

         <oasis:entry rowsep="1" namest="col3" nameend="col5" align="center" colsep="1">Erosional </oasis:entry>

         <oasis:entry rowsep="1" namest="col6" nameend="col8" align="center">Burial </oasis:entry>

       </oasis:row>
       <oasis:row>

         <oasis:entry colname="col1"/>

         <oasis:entry colname="col2"/>

         <oasis:entry rowsep="1" namest="col3" nameend="col8" align="center">Degree </oasis:entry>

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

         <oasis:entry colname="col1"/>

         <oasis:entry colname="col2">Depth (cm)</oasis:entry>

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

         <oasis:entry colname="col4">II</oasis:entry>

         <oasis:entry colname="col5">I</oasis:entry>

         <oasis:entry colname="col6">I</oasis:entry>

         <oasis:entry colname="col7">II</oasis:entry>

         <oasis:entry colname="col8">III</oasis:entry>

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

         <oasis:entry colname="col1" morerows="3">Paleostatus</oasis:entry>

         <oasis:entry rowsep="1" colname="col2" morerows="1">Modern</oasis:entry>

         <oasis:entry colname="col3">0–19 (2.5)</oasis:entry>

         <oasis:entry colname="col4">0–19 (3.2)</oasis:entry>

         <oasis:entry colname="col5">0–18 (3.5)</oasis:entry>

         <oasis:entry colname="col6">0–30 (0.6)</oasis:entry>

         <oasis:entry colname="col7">0–29 (0.6)</oasis:entry>

         <oasis:entry colname="col8">0–29 (0.0)</oasis:entry>

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

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

         <oasis:entry colname="col4">19–38 (3.6)</oasis:entry>

         <oasis:entry colname="col5">18–36 (3.5)</oasis:entry>

         <oasis:entry colname="col6">30–60 (0.6)</oasis:entry>

         <oasis:entry colname="col7">29–59 (2.3)</oasis:entry>

         <oasis:entry colname="col8">29–59 (2.3)</oasis:entry>

       </oasis:row>
       <oasis:row>

         <oasis:entry colname="col2" morerows="1">Brady</oasis:entry>

         <oasis:entry colname="col3">20–50 (1.2)</oasis:entry>

         <oasis:entry colname="col4">50–80 (0.0)</oasis:entry>

         <oasis:entry colname="col5">150–180 (0.0)</oasis:entry>

         <oasis:entry colname="col6">100–130 (4.0)</oasis:entry>

         <oasis:entry colname="col7">300–330 (9.3)</oasis:entry>

         <oasis:entry colname="col8">550–580 (6.7)</oasis:entry>

       </oasis:row>
       <oasis:row>

         <oasis:entry colname="col3">50–80 (0.4)</oasis:entry>

         <oasis:entry colname="col4">80–120 (0.0)</oasis:entry>

         <oasis:entry colname="col5">180–210 (2.9)</oasis:entry>

         <oasis:entry colname="col6">130–160 (4.5)</oasis:entry>

         <oasis:entry colname="col7">330–360 (2.6)</oasis:entry>

         <oasis:entry colname="col8">580–610 (5.6)</oasis:entry>

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

      <fig id="FA1"><label>Figure A1</label><caption><p id="d2e6641">Daily respiratory <inline-formula><mml:math id="M347" 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> flux from modern and Brady Soil sampled from three depths representing varying degrees of burial/erosional exposure (two technical replicates each). In burial transects, Shallow <inline-formula><mml:math id="M348" display="inline"><mml:mo>→</mml:mo></mml:math></inline-formula> Intermediate <inline-formula><mml:math id="M349" display="inline"><mml:mo>→</mml:mo></mml:math></inline-formula> Deep corresponds to burial degrees I <inline-formula><mml:math id="M350" display="inline"><mml:mo>→</mml:mo></mml:math></inline-formula> II <inline-formula><mml:math id="M351" display="inline"><mml:mo>→</mml:mo></mml:math></inline-formula> III. In erosional transects, this relationship is reversed, with Shallow <inline-formula><mml:math id="M352" display="inline"><mml:mo>→</mml:mo></mml:math></inline-formula> Intermediate <inline-formula><mml:math id="M353" display="inline"><mml:mo>→</mml:mo></mml:math></inline-formula> Deep corresponding to exposure degrees III <inline-formula><mml:math id="M354" display="inline"><mml:mo>→</mml:mo></mml:math></inline-formula> II <inline-formula><mml:math id="M355" display="inline"><mml:mo>→</mml:mo></mml:math></inline-formula> I. Soils were wetted to a moisture content of 60 % water holding capacity (WHC) and allowed to dry to 5 % WHC. The dotted line represents the control (constant 5 % WHC).</p></caption>
        
        <graphic xlink:href="https://soil.copernicus.org/articles/12/561/2026/soil-12-561-2026-f07.png"/>

      </fig>

<fig id="FA2"><label>Figure A2</label><caption><p id="d2e6724">True versus predicted soil organic matter decomposition parameters (decay constant, <inline-formula><mml:math id="M356" display="inline"><mml:mi>k</mml:mi></mml:math></inline-formula>, and fraction of C in slow pool, <inline-formula><mml:math id="M357" display="inline"><mml:mi>f</mml:mi></mml:math></inline-formula>) for fast- and slow-cycling pools in modern and Brady soils incubated under continuously wet conditions. These parameters were obtained by multiple linear regression across burial and erosional transects. Red dotted line represents <inline-formula><mml:math id="M358" display="inline"><mml:mrow><mml:mi>y</mml:mi><mml:mo>=</mml:mo><mml:mi>x</mml:mi></mml:mrow></mml:math></inline-formula>.</p></caption>
        
        <graphic xlink:href="https://soil.copernicus.org/articles/12/561/2026/soil-12-561-2026-f08.png"/>

      </fig>

<fig id="FA3"><label>Figure A3</label><caption><p id="d2e6764">True versus predicted soil organic matter decay constant, <inline-formula><mml:math id="M359" display="inline"><mml:mi>k</mml:mi></mml:math></inline-formula>) in modern and Brady soils incubated under wet-dry cycling conditions. These parameters were obtained by multiple linear regression across burial and erosional transects. Red dotted line represents <inline-formula><mml:math id="M360" display="inline"><mml:mrow><mml:mi>y</mml:mi><mml:mo>=</mml:mo><mml:mi>x</mml:mi></mml:mrow></mml:math></inline-formula>.</p></caption>
        
        <graphic xlink:href="https://soil.copernicus.org/articles/12/561/2026/soil-12-561-2026-f09.png"/>

      </fig>

      <fig id="FA4"><label>Figure A4</label><caption><p id="d2e6796">Correlation between soil physicochemical properties and modeled soil organic matter decomposition parameters (decay constant, <inline-formula><mml:math id="M361" display="inline"><mml:mi>k</mml:mi></mml:math></inline-formula>, and fraction of C in slow pool, <inline-formula><mml:math id="M362" display="inline"><mml:mi>f</mml:mi></mml:math></inline-formula>) for fast- and slow-cycling pools in modern and Brady soils incubated under wet-dry cycles. Decomposition parameters were obtained by multiple linear regression across burial and erosional transects. The statistical significance of each correlation is denoted by asterisks (<sup>∗∗∗</sup> for <inline-formula><mml:math id="M364" display="inline"><mml:mrow><mml:mi>p</mml:mi><mml:mo>&lt;</mml:mo><mml:mn mathvariant="normal">0.001</mml:mn></mml:mrow></mml:math></inline-formula>, <sup>∗∗</sup> for <inline-formula><mml:math id="M366" display="inline"><mml:mrow><mml:mi>p</mml:mi><mml:mo>&lt;</mml:mo><mml:mn mathvariant="normal">0.01</mml:mn></mml:mrow></mml:math></inline-formula>, <sup>∗</sup> for <inline-formula><mml:math id="M368" display="inline"><mml:mrow><mml:mi>p</mml:mi><mml:mo>&lt;</mml:mo><mml:mn mathvariant="normal">0.05</mml:mn></mml:mrow></mml:math></inline-formula>).</p></caption>
        
        <graphic xlink:href="https://soil.copernicus.org/articles/12/561/2026/soil-12-561-2026-f10.png"/>

      </fig>


<sec id="App1.Ch1.S1.SSx1" specific-use="unnumbered">
  <title>Multiple linear regression equations</title>
      <p id="d2e6901"><disp-formula specific-use="gather" content-type="numbered"><mml:math id="M369" display="block"><mml:mtable displaystyle="true"><mml:mtr><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:msub><mml:mi>k</mml:mi><mml:mtext>slow</mml:mtext></mml:msub></mml:mrow></mml:mtd><mml:mtd><mml:mrow><mml:mo>=</mml:mo><mml:mn mathvariant="normal">0.0000532</mml:mn><mml:mo>-</mml:mo><mml:mn mathvariant="normal">0.0000979</mml:mn><mml:mo>⋅</mml:mo><mml:mtext>SAR</mml:mtext></mml:mrow></mml:mtd></mml:mtr><mml:mtr><mml:mtd/><mml:mtd><mml:mrow><mml:mo>+</mml:mo><mml:mn mathvariant="normal">0.00000225</mml:mn><mml:mo>⋅</mml:mo><mml:mtext>clay</mml:mtext><mml:mo>+</mml:mo><mml:mn mathvariant="normal">0.000000395</mml:mn><mml:mo>⋅</mml:mo><mml:mrow class="chem"><mml:mi mathvariant="normal">Ca</mml:mi></mml:mrow></mml:mrow></mml:mtd></mml:mtr><mml:mtr><mml:mtd/><mml:mtd><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">0.00000622</mml:mn><mml:mo>⋅</mml:mo><mml:mrow class="chem"><mml:mi mathvariant="normal">Mg</mml:mi></mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">0.00000271</mml:mn><mml:mo>⋅</mml:mo><mml:mrow class="chem"><mml:mi mathvariant="normal">K</mml:mi></mml:mrow></mml:mrow></mml:mtd></mml:mtr><mml:mtr><mml:mtd/><mml:mtd><mml:mrow><mml:mo>+</mml:mo><mml:mn mathvariant="normal">0.00000347</mml:mn><mml:mo>⋅</mml:mo><mml:mtext>EC</mml:mtext><mml:mo>-</mml:mo><mml:mn mathvariant="normal">0.00000618</mml:mn><mml:mo>⋅</mml:mo><mml:mtext>pH</mml:mtext></mml:mrow></mml:mtd></mml:mtr><mml:mtr><mml:mtd/><mml:mtd><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">0.00000687</mml:mn><mml:mo>⋅</mml:mo><mml:mtext>TOC</mml:mtext><mml:mo>-</mml:mo><mml:mn mathvariant="normal">0.0000275</mml:mn><mml:mo>⋅</mml:mo><mml:mtext>TIC</mml:mtext></mml:mrow></mml:mtd></mml:mtr></mml:mtable></mml:mrow></mml:mtd></mml:mtr><mml:mlabeledtr id="App1.Ch1.S1.E4"><mml:mtd><mml:mtext>A1</mml:mtext></mml:mtd><mml:mtd><mml:mrow><mml:mstyle displaystyle="true" class="stylechange"/><mml:mtext>RMSE</mml:mtext><mml:mo>:</mml:mo><mml:mn mathvariant="normal">0.000000701</mml:mn><mml:mo>,</mml:mo><mml:msup><mml:mi>R</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msup><mml:mo>:</mml:mo><mml:mn mathvariant="normal">0.98</mml:mn></mml:mrow></mml:mtd></mml:mlabeledtr><mml:mtr><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:msub><mml:mi>k</mml:mi><mml:mtext>fast</mml:mtext></mml:msub></mml:mrow></mml:mtd><mml:mtd><mml:mrow><mml:mo>=</mml:mo><mml:mn mathvariant="normal">0.215</mml:mn><mml:mo>+</mml:mo><mml:mn mathvariant="normal">0.0189</mml:mn><mml:mo>⋅</mml:mo><mml:mtext>SAR</mml:mtext><mml:mo>+</mml:mo><mml:mn mathvariant="normal">0.00344</mml:mn><mml:mo>⋅</mml:mo><mml:mtext>clay</mml:mtext></mml:mrow></mml:mtd></mml:mtr><mml:mtr><mml:mtd/><mml:mtd><mml:mrow><mml:mo>+</mml:mo><mml:mn mathvariant="normal">0.0026</mml:mn><mml:mo>⋅</mml:mo><mml:mrow class="chem"><mml:mi mathvariant="normal">Ca</mml:mi></mml:mrow><mml:mo>+</mml:mo><mml:mn mathvariant="normal">0.00204</mml:mn><mml:mo>⋅</mml:mo><mml:mrow class="chem"><mml:mi mathvariant="normal">Mg</mml:mi></mml:mrow></mml:mrow></mml:mtd></mml:mtr><mml:mtr><mml:mtd/><mml:mtd><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">0.000302</mml:mn><mml:mo>⋅</mml:mo><mml:mrow class="chem"><mml:mi mathvariant="normal">K</mml:mi></mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">0.00513</mml:mn><mml:mo>⋅</mml:mo><mml:mtext>EC</mml:mtext></mml:mrow></mml:mtd></mml:mtr><mml:mtr><mml:mtd/><mml:mtd><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">0.0196</mml:mn><mml:mo>⋅</mml:mo><mml:mtext>pH</mml:mtext><mml:mo>+</mml:mo><mml:mn mathvariant="normal">0.0146</mml:mn><mml:mo>⋅</mml:mo><mml:mtext>TIC</mml:mtext></mml:mrow></mml:mtd></mml:mtr></mml:mtable></mml:mrow></mml:mtd></mml:mtr><mml:mlabeledtr id="App1.Ch1.S1.E5"><mml:mtd><mml:mtext>A2</mml:mtext></mml:mtd><mml:mtd><mml:mrow><mml:mstyle class="stylechange" displaystyle="true"/><mml:mtext>RMSE</mml:mtext><mml:mo>:</mml:mo><mml:mn mathvariant="normal">0.00141</mml:mn><mml:mo>,</mml:mo><mml:msup><mml:mi>R</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msup><mml:mo>:</mml:mo><mml:mn mathvariant="normal">0.95</mml:mn></mml:mrow></mml:mtd></mml:mlabeledtr><mml:mtr><mml:mtd><mml:mrow><mml:mstyle displaystyle="true" class="stylechange"/><mml:mtable class="split" rowspacing="0.2ex" displaystyle="true" columnalign="right left"><mml:mtr><mml:mtd><mml:mrow><mml:msub><mml:mi>f</mml:mi><mml:mtext>slow</mml:mtext></mml:msub></mml:mrow></mml:mtd><mml:mtd><mml:mrow><mml:mo>=</mml:mo><mml:mn mathvariant="normal">0.976</mml:mn><mml:mo>+</mml:mo><mml:mn mathvariant="normal">0.0732</mml:mn><mml:mo>⋅</mml:mo><mml:mtext>SAR</mml:mtext></mml:mrow></mml:mtd></mml:mtr><mml:mtr><mml:mtd/><mml:mtd><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">0.000362</mml:mn><mml:mo>⋅</mml:mo><mml:mtext>clay</mml:mtext><mml:mo>-</mml:mo><mml:mn mathvariant="normal">0.000241</mml:mn><mml:mo>⋅</mml:mo><mml:mrow class="chem"><mml:mi mathvariant="normal">Ca</mml:mi></mml:mrow></mml:mrow></mml:mtd></mml:mtr><mml:mtr><mml:mtd/><mml:mtd><mml:mrow><mml:mo>+</mml:mo><mml:mn mathvariant="normal">0.00138</mml:mn><mml:mo>⋅</mml:mo><mml:mrow class="chem"><mml:mi mathvariant="normal">Mg</mml:mi></mml:mrow><mml:mo>+</mml:mo><mml:mn mathvariant="normal">0.00283</mml:mn><mml:mo>⋅</mml:mo><mml:mrow class="chem"><mml:mi mathvariant="normal">K</mml:mi></mml:mrow></mml:mrow></mml:mtd></mml:mtr><mml:mtr><mml:mtd/><mml:mtd><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">0.00288</mml:mn><mml:mo>⋅</mml:mo><mml:mtext>EC</mml:mtext><mml:mo>+</mml:mo><mml:mn mathvariant="normal">0.00174</mml:mn><mml:mo>⋅</mml:mo><mml:mtext>pH</mml:mtext></mml:mrow></mml:mtd></mml:mtr><mml:mtr><mml:mtd/><mml:mtd><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">0.000707</mml:mn><mml:mo>⋅</mml:mo><mml:mtext>TOC</mml:mtext><mml:mo>+</mml:mo><mml:mn mathvariant="normal">0.0298</mml:mn><mml:mo>⋅</mml:mo><mml:mtext>TIC</mml:mtext></mml:mrow></mml:mtd></mml:mtr></mml:mtable></mml:mrow></mml:mtd></mml:mtr><mml:mlabeledtr id="App1.Ch1.S1.E6"><mml:mtd><mml:mtext>A3</mml:mtext></mml:mtd><mml:mtd><mml:mrow><mml:mstyle class="stylechange" displaystyle="true"/><mml:mtext>RMSE</mml:mtext><mml:mo>:</mml:mo><mml:mn mathvariant="normal">0.000838</mml:mn><mml:mo>,</mml:mo><mml:msup><mml:mi>R</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msup><mml:mo>:</mml:mo><mml:mn mathvariant="normal">0.97</mml:mn></mml:mrow></mml:mtd></mml:mlabeledtr><mml:mtr><mml:mtd><mml:mrow><mml:mstyle class="stylechange" displaystyle="true"/><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:mtext>fast</mml:mtext></mml:msub></mml:mrow></mml:mtd><mml:mtd><mml:mrow><mml:mo>=</mml:mo><mml:mn mathvariant="normal">0.0243</mml:mn><mml:mo>-</mml:mo><mml:mn mathvariant="normal">0.0732</mml:mn><mml:mo>⋅</mml:mo><mml:mtext>SAR</mml:mtext></mml:mrow></mml:mtd></mml:mtr><mml:mtr><mml:mtd/><mml:mtd><mml:mrow><mml:mo>+</mml:mo><mml:mn mathvariant="normal">0.000362</mml:mn><mml:mo>⋅</mml:mo><mml:mtext>clay</mml:mtext><mml:mo>+</mml:mo><mml:mn mathvariant="normal">0.000241</mml:mn><mml:mo>⋅</mml:mo><mml:mrow class="chem"><mml:mi mathvariant="normal">Ca</mml:mi></mml:mrow></mml:mrow></mml:mtd></mml:mtr><mml:mtr><mml:mtd/><mml:mtd><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">0.00138</mml:mn><mml:mo>⋅</mml:mo><mml:mrow class="chem"><mml:mi mathvariant="normal">Mg</mml:mi></mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">0.00283</mml:mn><mml:mo>⋅</mml:mo><mml:mrow class="chem"><mml:mi mathvariant="normal">K</mml:mi></mml:mrow></mml:mrow></mml:mtd></mml:mtr><mml:mtr><mml:mtd/><mml:mtd><mml:mrow><mml:mo>+</mml:mo><mml:mn mathvariant="normal">0.00288</mml:mn><mml:mo>⋅</mml:mo><mml:mtext>EC</mml:mtext><mml:mo>-</mml:mo><mml:mn mathvariant="normal">0.00174</mml:mn><mml:mo>⋅</mml:mo><mml:mtext>pH</mml:mtext></mml:mrow></mml:mtd></mml:mtr><mml:mtr><mml:mtd/><mml:mtd><mml:mrow><mml:mo>+</mml:mo><mml:mn mathvariant="normal">0.000707</mml:mn><mml:mo>⋅</mml:mo><mml:mtext>TOC</mml:mtext><mml:mo>-</mml:mo><mml:mn 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</sec>
</app>
  </app-group><notes notes-type="dataavailability"><title>Data availability</title>

      <p id="d2e7557">Full dataset for soil incubation and statistical analyses are available at <ext-link xlink:href="https://doi.org/10.17632/fjw646gpyf.1" ext-link-type="DOI">10.17632/fjw646gpyf.1</ext-link> <xref ref-type="bibr" rid="bib1.bibx55" id="paren.79"/>.</p>
  </notes><notes notes-type="authorcontribution"><title>Author contributions</title>

      <p id="d2e7569">All authors contributed to the study conception and design. Material preparation, data collection, and analysis were performed by Manisha Dolui, Teneille Nel, Abbygail R. McMurtry, Stephanie Chacon, Laura M. Phillips, Teamrat Ghezzehei, Joseph A. Mason, Erika Marin-Spiotta, Marie-Anne de Graaff and Asmeret Asefaw Berhe. The first draft of the manuscript was written by Manisha Dolui and Teneille Nel. All authors commented on previous versions of the manuscript and approved the final manuscript.</p>
  </notes><notes notes-type="competinginterests"><title>Competing interests</title>

      <p id="d2e7576">The contact author has declared that none of the authors has any competing interests.</p>
  </notes><notes notes-type="disclaimer"><title>Disclaimer</title>

      <p id="d2e7582">Publisher's note: Copernicus Publications remains neutral with regard to jurisdictional claims made in the text, published maps, institutional affiliations, or any other geographical representation in this paper. The authors bear the ultimate responsibility for providing appropriate place names. Views expressed in the text are those of the authors and do not necessarily reflect the views of the publisher.</p>
  </notes><ack><title>Acknowledgements</title><p id="d2e7588">We acknowledge financial support for this work from the National Science Foundation (EAR awards 1623814, 1623810, and 1623812) and the Ted and Jan Falasco Endowment, fellowships and grants awarded by the Graduate Division at the University of California, Merced (UCM), and the UCM Environmental Systems Graduate Group. We are grateful to Dr. Sora Kim and Dr. Robin Trayler for their support at the UCM Stable Isotope Lab. We also thank R. and D. Whiting for providing access to the Wauneta, Nebraska, field sites. ChatGPT was used for language editing and sentence refinement and the authors take full responsibility for the output.</p></ack><notes notes-type="financialsupport"><title>Financial support</title>

      <p id="d2e7593">This work was supported by the National Science Foundation (EAR awards 1623814, 1623810, and 1623812), the University of California, Merced, and the Ted and Jan Falasco Endowment.</p>
  </notes><notes notes-type="reviewstatement"><title>Review statement</title>

      <p id="d2e7599">This paper was edited by Katerina Georgiou and reviewed by three anonymous referees.</p>
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Impacts of drying–wetting cycles on rhizosphere respiration and soil organic matter decomposition, Soil Biol. Biochem., 63, 89–96, <a href="https://doi.org/10.1016/j.soilbio.2013.03.027" target="_blank">https://doi.org/10.1016/j.soilbio.2013.03.027</a>, 2013.

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