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<journal-id journal-id-type="publisher-id">Front. Geochem.</journal-id>
<journal-title>Frontiers in Geochemistry</journal-title>
<abbrev-journal-title abbrev-type="pubmed">Front. Geochem.</abbrev-journal-title>
<issn pub-type="epub">2813-5962</issn>
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<publisher-name>Frontiers Media S.A.</publisher-name>
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<article-id pub-id-type="publisher-id">1492386</article-id>
<article-id pub-id-type="doi">10.3389/fgeoc.2025.1492386</article-id>
<article-categories>
<subj-group subj-group-type="heading">
<subject>Geochemistry</subject>
<subj-group>
<subject>Review</subject>
</subj-group>
</subj-group>
</article-categories>
<title-group>
<article-title>Drivers of soil heterotrophic respiration in tropical peatlands: a review to inform peat carbon accumulation modelling</article-title>
<alt-title alt-title-type="left-running-head">Dehaen et al.</alt-title>
<alt-title alt-title-type="right-running-head">
<ext-link ext-link-type="uri" xlink:href="https://doi.org/10.3389/fgeoc.2025.1492386">10.3389/fgeoc.2025.1492386</ext-link>
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<contrib-group>
<contrib contrib-type="author" corresp="yes">
<name>
<surname>Dehaen</surname>
<given-names>Elise M.</given-names>
</name>
<xref ref-type="aff" rid="aff1">
<sup>1</sup>
</xref>
<xref ref-type="corresp" rid="c001">&#x2a;</xref>
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<contrib contrib-type="author">
<name>
<surname>Burke</surname>
<given-names>Eleanor J.</given-names>
</name>
<xref ref-type="aff" rid="aff2">
<sup>2</sup>
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<contrib contrib-type="author">
<name>
<surname>Chadburn</surname>
<given-names>Sarah E.</given-names>
</name>
<xref ref-type="aff" rid="aff3">
<sup>3</sup>
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<contrib contrib-type="author">
<name>
<surname>Kaduk</surname>
<given-names>J&#xf6;rg</given-names>
</name>
<xref ref-type="aff" rid="aff4">
<sup>4</sup>
</xref>
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<contrib contrib-type="author">
<name>
<surname>Sitch</surname>
<given-names>Stephen</given-names>
</name>
<xref ref-type="aff" rid="aff1">
<sup>1</sup>
</xref>
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<contrib contrib-type="author">
<name>
<surname>Smith</surname>
<given-names>Noah D.</given-names>
</name>
<xref ref-type="aff" rid="aff1">
<sup>1</sup>
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<contrib contrib-type="author">
<name>
<surname>Gallego-Sala</surname>
<given-names>Angela V.</given-names>
</name>
<xref ref-type="aff" rid="aff1">
<sup>1</sup>
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<aff id="aff1">
<sup>1</sup>
<institution>Department of Geography</institution>, <institution>University of Exeter</institution>, <addr-line>Exeter</addr-line>, <country>United Kingdom</country>
</aff>
<aff id="aff2">
<sup>2</sup>
<institution>Met Office Hadley Centre</institution>, <addr-line>Exeter</addr-line>, <country>United Kingdom</country>
</aff>
<aff id="aff3">
<sup>3</sup>
<institution>Department of Mathematics</institution>, <institution>University of Exeter</institution>, <addr-line>Exeter</addr-line>, <country>United Kingdom</country>
</aff>
<aff id="aff4">
<sup>4</sup>
<institution>School of Geography</institution>, <institution>Geology and the Environment</institution>, <institution>University of Leicester</institution>, <addr-line>Leicester</addr-line>, <country>United Kingdom</country>
</aff>
<author-notes>
<fn fn-type="edited-by">
<p>
<bold>Edited by:</bold> <ext-link ext-link-type="uri" xlink:href="https://loop.frontiersin.org/people/1252775/overview">Gabriela Bielefeld Nardoto</ext-link>, University of Brasilia, Brazil</p>
</fn>
<fn fn-type="edited-by">
<p>
<bold>Reviewed by:</bold> <ext-link ext-link-type="uri" xlink:href="https://loop.frontiersin.org/people/2699996/overview">Anderson da Rocha Gripp</ext-link>, Federal University of Rio de Janeiro, Brazil</p>
<p>
<ext-link ext-link-type="uri" xlink:href="https://loop.frontiersin.org/people/2858553/overview">Maria Regina Sartori</ext-link>, University of Brasilia, Brazil</p>
</fn>
<corresp id="c001">&#x2a;Correspondence: Elise M. Dehaen, <email>ed515@exeter.ac.uk</email>
</corresp>
</author-notes>
<pub-date pub-type="epub">
<day>04</day>
<month>04</month>
<year>2025</year>
</pub-date>
<pub-date pub-type="collection">
<year>2025</year>
</pub-date>
<volume>3</volume>
<elocation-id>1492386</elocation-id>
<history>
<date date-type="received">
<day>06</day>
<month>09</month>
<year>2024</year>
</date>
<date date-type="accepted">
<day>17</day>
<month>03</month>
<year>2025</year>
</date>
</history>
<permissions>
<copyright-statement>Copyright &#xa9; 2025 Dehaen, Burke, Chadburn, Kaduk, Sitch, Smith and Gallego-Sala.</copyright-statement>
<copyright-year>2025</copyright-year>
<copyright-holder>Dehaen, Burke, Chadburn, Kaduk, Sitch, Smith and Gallego-Sala</copyright-holder>
<license xlink:href="http://creativecommons.org/licenses/by/4.0/">
<p>This is an open-access article distributed under the terms of the Creative Commons Attribution License (CC BY). The use, distribution or reproduction in other forums is permitted, provided the original author(s) and the copyright owner(s) are credited and that the original publication in this journal is cited, in accordance with accepted academic practice. No use, distribution or reproduction is permitted which does not comply with these terms.</p>
</license>
</permissions>
<abstract>
<p>Globally peatlands store 25% of global soil organic carbon but this large carbon store is at risk under climate change and from widespread anthropogenic disturbances. The impact of climate change on tropical peatlands, which represent 23%&#x2013;30% of the global peatland area, is particularly poorly understood and Earth System Models do not yet include a suitable representation of the soil carbon cycle for tropical peatlands. Peat decomposition via soil heterotrophic respiration to CO<sub>2</sub> (SHR-CO<sub>2</sub>) is a main component of the peatland carbon cycle. However, the lack of consensus on the importance of different drivers and the scarcity of empirical data hinders model development. Therefore, this study reviews the drivers of SHR-CO<sub>2</sub> (moisture, temperature, decomposability and, nutrients and decomposers) for tropical peatlands. We compile available empirical data to inform model development; and highlight priorities for future experimental work that would enable further model refinement. We point out that the sharp decrease of SHR-CO<sub>2</sub> under anoxic water-saturated conditions is a major parameter for tropical peat decomposition and the ratio of SHR-CO<sub>2</sub> under anoxic conditions to the SHR-CO<sub>2</sub> at the optimum moisture is 0.10 &#xb1; 0.08. Additionally, we highlight that, at present, the common assumption that SHR-CO<sub>2</sub> doubles with an 10&#x00B0;C increase (Q<sub>10</sub> of ca. 2) remains the most parsimonious option considering the lack of empirical data to establish a more process-based peatland SHR-CO<sub>2</sub> temperature relationship. Finally, we identify three priorities to advance tropical peatland model improvement: (1) narrowing the constraint on the optimum moisture range for SHR-CO<sub>2</sub> in tropical peatlands, (2) investigating the interaction between moisture and temperature sensitivity, and (3) identifying the most widely applicable metric to characterise peat decomposability that might enable quantitative comparison across the tropics.</p>
</abstract>
<kwd-group>
<kwd>tropical peat</kwd>
<kwd>soil heterotrophic respiration</kwd>
<kwd>carbon dioxide</kwd>
<kwd>temperature sensitivity</kwd>
<kwd>moisture effect</kwd>
<kwd>process-based models</kwd>
<kwd>peat decomposability</kwd>
</kwd-group>
<contract-num rid="cn001">865403</contract-num>
<contract-sponsor id="cn001">HORIZON EUROPE European Research Council<named-content content-type="fundref-id">10.13039/100019180</named-content>
</contract-sponsor>
<custom-meta-wrap>
<custom-meta>
<meta-name>section-at-acceptance</meta-name>
<meta-value>Biogeochemistry</meta-value>
</custom-meta>
</custom-meta-wrap>
</article-meta>
</front>
<body>
<sec id="s1">
<title>1 Introduction</title>
<p>Peat forms in waterlogged soils when plant production and the resulting litter addition rate exceeds the decomposition rate as anoxic conditions limit respiration and decomposition of the organic material (<xref ref-type="bibr" rid="B22">Chimner and Ewel, 2005</xref>; <xref ref-type="bibr" rid="B11">Blake et al., 2008</xref>; <xref ref-type="bibr" rid="B124">Vitt, 2013</xref>; <xref ref-type="bibr" rid="B97">Page and Baird, 2016</xref>). Water saturation controls oxygen availability, and oxygen limitation slows organic matter decomposition (<xref ref-type="bibr" rid="B53">Hirano et al., 2009</xref>; <xref ref-type="bibr" rid="B83">Loisel et al., 2021</xref>). Therefore, hydrology is one of the most important drivers of the carbon balance in peatlands (<xref ref-type="bibr" rid="B53">Hirano et al., 2009</xref>). Other controls on decomposition are temperature and decomposability. Higher temperatures, up to a point, increase peat decomposition rates (<xref ref-type="bibr" rid="B38">Gallego-Sala, 2008</xref>; <xref ref-type="bibr" rid="B20">Charman et al., 2013</xref>). Decomposition is also influenced by lability, i.e., how easily decomposable the peat is. Lability is in turn strongly controlled by the dominant parent peat-forming plant functional type (such as tree, shrub, graminoid, forb or moss) (<xref ref-type="bibr" rid="B55">Hodgkins et al., 2018</xref>; <xref ref-type="bibr" rid="B118">Uhelski et al., 2022</xref>).</p>
<p>Globally, peatlands cover ca. 3% of the global land area, yet store a disproportionate 25% of soil organic carbon (<xref ref-type="bibr" rid="B99">Parmesan et al., 2022</xref>). However, this large amount of carbon is at risk due to widespread anthropogenic disturbance and climate change, and this loss of peatland carbon globally already contributes to a positive climate feedback, accelerating climate change (<xref ref-type="bibr" rid="B99">Parmesan et al., 2022</xref>). Tropical peatlands are estimated to represent 23%&#x2013;30% of the global peatland area but large uncertainties remain about their extent, carbon stock and about the main environmental drivers of tropical peat carbon cycling (<xref ref-type="bibr" rid="B39">Gallego-Sala et al., 2018</xref>; <xref ref-type="bibr" rid="B104">Ribeiro et al., 2021</xref>). In northern peatlands, an increase of the carbon sink is expected under warming conditions if sufficient moisture is maintained and there is no increase in cloudiness (<xref ref-type="bibr" rid="B20">Charman et al., 2013</xref>). However, observations suggest that in the tropics the peatland carbon sink will decrease under warmer conditions (<xref ref-type="bibr" rid="B39">Gallego-Sala et al., 2018</xref>). This is because it is expected that all the carbon loss mechanisms (higher temperatures, lower moisture, fires, land-use change and sea-level rise) will be amplified in the future (<xref ref-type="bibr" rid="B83">Loisel et al., 2021</xref>). However, the impact of climate change on tropical peatlands and their future remains poorly understood (<xref ref-type="bibr" rid="B83">Loisel et al., 2021</xref>; <xref ref-type="bibr" rid="B104">Ribeiro et al., 2021</xref>).</p>
<p>Most Earth System Models (ESMs) do not include peatlands and their dynamic feedbacks, and none in the latest Coupled Model Intercomparison Project phase (CMIP6) included a representation of peatlands (<xref ref-type="bibr" rid="B5">Arora et al., 2020</xref>; <xref ref-type="bibr" rid="B18">Chadburn et al., 2022</xref>). Since CMIP6, some of those ESM land surface components (JULES, ORCHIDEE and CLM5) were developed to include peatlands (<xref ref-type="bibr" rid="B101">Qiu et al., 2018</xref>; <xref ref-type="bibr" rid="B102">Qiu et al., 2019</xref>; <xref ref-type="bibr" rid="B4">Apers et al., 2022</xref>; <xref ref-type="bibr" rid="B18">Chadburn et al., 2022</xref>; <xref ref-type="bibr" rid="B70">Kwon et al., 2022</xref>). However, none include suitable representation of the soil carbon cycle for tropical peatlands as recent development focused on the northern peatlands&#x2019; soil carbon or hydrology. Further development is therefore needed to improve the representation of peatland carbon globally. Amongst the many specialised soil and peat models, the representation of tropical peatlands is also scarcer than northern or temperate peatlands (<xref ref-type="table" rid="T1">Table 1</xref>). Overall, few modelling studies focus on the tropical peatland carbon cycle because of the lack of available data for model parametrisation and validation (<xref ref-type="bibr" rid="B54">Hirata et al., 2016</xref>; <xref ref-type="bibr" rid="B104">Ribeiro et al., 2021</xref>).</p>
<table-wrap id="T1" position="float">
<label>TABLE 1</label>
<caption>
<p>List of reviewed process-based models simulating SOC decomposition in peatlands.</p>
</caption>
<table>
<thead valign="top">
<tr>
<th align="left">Model</th>
<th align="left">Model type</th>
<th align="left">Biomes of application</th>
<th align="left">References</th>
</tr>
</thead>
<tbody valign="top">
<tr>
<td align="left">CLASS-CTEM (Canadian Land Surface Scheme-Canadian Terrestrial Ecosystem Model)</td>
<td align="left">land surface model</td>
<td align="left">Boreal, temperate</td>
<td align="left">
<xref ref-type="bibr" rid="B137">Wu, Y. et al. (2016),</xref> <xref ref-type="bibr" rid="B88">Melton et al. (2017)</xref>
</td>
</tr>
<tr>
<td align="left">CoupModel</td>
<td align="left">soil model</td>
<td align="left">Boreal, temperate</td>
<td align="left">
<xref ref-type="bibr" rid="B89">Metzger et al. (2015)</xref>
</td>
</tr>
<tr>
<td align="left">Digibog</td>
<td align="left">peat-specific model</td>
<td align="left">Boreal, temperate, and tropical</td>
<td align="left">
<xref ref-type="bibr" rid="B9">Baird et al. (2012),</xref> <xref ref-type="bibr" rid="B8">Baird et al. (2017)</xref>; <xref ref-type="bibr" rid="B91">Morris et al. (2012),</xref> <xref ref-type="bibr" rid="B92">Morris et al. (2015)</xref>, <xref ref-type="bibr" rid="B103">Ramirez et al. (2023),</xref> <xref ref-type="bibr" rid="B141">Young et al. (2023)</xref>
</td>
</tr>
<tr>
<td align="left">ECOSSE (Estimate Carbon in Organic Soils &#x2013; Sequestration and Emissions)</td>
<td align="left">highly organic soils model</td>
<td align="left">Temperate</td>
<td align="left">
<xref ref-type="bibr" rid="B1">Abdalla et al. (2014),</xref> <xref ref-type="bibr" rid="B112">Smith et al. (2010)</xref>
</td>
</tr>
<tr>
<td align="left">ecosys</td>
<td align="left">soil model</td>
<td align="left">Boreal, temperate, tropical</td>
<td align="left">
<xref ref-type="bibr" rid="B44">Grant (2004),</xref> <xref ref-type="bibr" rid="B45">Grant (2015)</xref>, <xref ref-type="bibr" rid="B32">Dimitrov et al. (2010),</xref> <xref ref-type="bibr" rid="B90">Mezbahuddin et al. (2014)</xref>
</td>
</tr>
<tr>
<td align="left">HPM(-Trop) (Holocene Peat Model)</td>
<td align="left">peat-specific model</td>
<td align="left">Temperate, tropical</td>
<td align="left">
<xref ref-type="bibr" rid="B37">Frolking et al. (2010),</xref> <xref ref-type="bibr" rid="B69">Kurnianto et al. (2015)</xref>
</td>
</tr>
<tr>
<td align="left">JULES-peat (Joint UK Land Environment Simulator, peatland configuration)</td>
<td align="left">land surface model</td>
<td align="left">Boreal</td>
<td align="left">
<xref ref-type="bibr" rid="B10">Best et al. (2011),</xref> <xref ref-type="bibr" rid="B23">Clark et al. (2011),</xref> <xref ref-type="bibr" rid="B133">Wiltshire et al. (2021),</xref> <xref ref-type="bibr" rid="B18">Chadburn et al. (2022)</xref>
</td>
</tr>
<tr>
<td align="left">LPJ-GUESS (Lund-Postdam-Jena General Ecosystem Simulator)</td>
<td align="left">dynamic global vegetation model</td>
<td align="left">Boreal</td>
<td align="left">
<xref ref-type="bibr" rid="B110">Sitch et al. (2003),</xref> <xref ref-type="bibr" rid="B21">Chaudhary et al. (2017)</xref>
</td>
</tr>
<tr>
<td align="left">LPJ-WHyMe (Lund-Postdam-Jena Wetland Hydrology and Methane)</td>
<td align="left">dynamic global vegetation model</td>
<td align="left">Boreal</td>
<td align="left">
<xref ref-type="bibr" rid="B110">Sitch et al. (2003),</xref> <xref ref-type="bibr" rid="B129">Wania et al. (2009a),</xref> <xref ref-type="bibr" rid="B130">Wania et al. (2009b)</xref>, <xref ref-type="bibr" rid="B131">Wania et al. (2010)</xref>
</td>
</tr>
<tr>
<td align="left">LPX-Bern (Land surface Processes and eXchanges model university of Bern)</td>
<td align="left">dynamic global vegetation model</td>
<td align="left">Boreal, temperate, and tropical</td>
<td align="left">
<xref ref-type="bibr" rid="B113">Spahni et al. (2013),</xref> <xref ref-type="bibr" rid="B115">Stocker et al. (2014)</xref>
</td>
</tr>
<tr>
<td align="left">MILLENNIA</td>
<td align="left">peat-specific model</td>
<td align="left">Temperate</td>
<td align="left">
<xref ref-type="bibr" rid="B51">Heinemeyer et al. (2010)</xref>
</td>
</tr>
<tr>
<td align="left">MWM (McGill Wetland Model)</td>
<td align="left">wetland soil model</td>
<td align="left">Temperate</td>
<td align="left">
<xref ref-type="bibr" rid="B114">St-Hilaire et al. (2010),</xref> <xref ref-type="bibr" rid="B107">Shao et al. (2022)</xref>
</td>
</tr>
<tr>
<td align="left">ORCHIDEE-Peat (Organising Carbon and Hydrology in Dynamic Ecosystems)</td>
<td align="left">land surface model</td>
<td align="left">Boreal</td>
<td align="left">
<xref ref-type="bibr" rid="B101">Qiu et al. (2018),</xref> <xref ref-type="bibr" rid="B102">Qiu et al. (2019)</xref>; <xref ref-type="bibr" rid="B70">Kwon et al. (2022)</xref>
</td>
</tr>
<tr>
<td align="left">PEATBOG (Pollution, Precipitation and Temperature impacts on peatlands Biodiversity and Biogeochemistry)</td>
<td align="left">peat-specific model</td>
<td align="left">Boreal</td>
<td align="left">
<xref ref-type="bibr" rid="B136">Wu, Y. and Blodau (2013)</xref>
</td>
</tr>
<tr>
<td align="left">PEATLAND (-VU)</td>
<td align="left">peat-specific model</td>
<td align="left">Temperate</td>
<td align="left">
<xref ref-type="bibr" rid="B122">Huissteden et al. (2006),</xref> <xref ref-type="bibr" rid="B100">Petrescu et al. (2009),</xref> <xref ref-type="bibr" rid="B78">Lippmann et al. (2023)</xref>
</td>
</tr>
<tr>
<td align="left">Wetland-DNDC (Wetland- DeNitrification-DEComposition)</td>
<td align="left">wetland soil model</td>
<td align="left">Boreal, temperate, and tropical</td>
<td align="left">
<xref ref-type="bibr" rid="B75">Li, C. et al. (1992),</xref> <xref ref-type="bibr" rid="B74">2004</xref>; <xref ref-type="bibr" rid="B142">Zhang et al. (2002),</xref> <xref ref-type="bibr" rid="B27">Cui et al. (2005),</xref> <xref ref-type="bibr" rid="B132">Webster et al. (2013)</xref>
</td>
</tr>
</tbody>
</table>
</table-wrap>
<p>Consequently, in this study, we review available data and the current state of knowledge on peat decomposition processes in the tropics. Peat decomposes to either CO<sub>2</sub> and/or CH<sub>4</sub> via soil heterotrophic respiration, and these gases are eventually lost to the atmosphere or to dissolved or particulate organic carbon that is lost laterally via streams or rivers (<xref ref-type="bibr" rid="B134">Wright et al., 2011</xref>; <xref ref-type="bibr" rid="B73">Lawson et al., 2015</xref>; <xref ref-type="bibr" rid="B109">Sihi et al., 2016</xref>; <xref ref-type="bibr" rid="B104">Ribeiro et al., 2021</xref>). This review specifically focuses on soil heterotrophic respiration to CO<sub>2</sub> (SHR-CO<sub>2</sub>) and aims to (1) compile the existing knowledge on the drivers of SHR-CO<sub>2</sub> in undisturbed tropical peatlands, (2) understand patterns and processes also using results from extra-tropical peatlands, and disturbed peatlands, (3) review how process-based models simulate peatland SHR-CO<sub>2</sub> including a corresponding summary of existing observational data to inform parameter range choices for models, and finally (4) identify the gaps in the existing empirical data needed for future model improvements.</p>
<p>This review is composed of four sections, each focusing on a driver of peatland SHR-CO<sub>2</sub> (moisture, temperature, substrate decomposability, nutrients), followed by one section on their interactions. Each section includes a summary of current knowledge and existing data, a summary of how these processes are accounted for in peat models and a discussion of future work needed.</p>
<sec id="s1-1">
<title>1.1 Modelling SHR-CO<sub>2</sub> for peat soils</title>
<p>The selection of models here does not aim to be an extensive review of peat process-based models as such a systematic review has already been conducted by <xref ref-type="bibr" rid="B95">Mozafari et al. (2023)</xref>. Instead, the 16 models selected (<xref ref-type="table" rid="T1">Table 1</xref>) which simulate peatland soil organic carbon (SOC) decomposition, aim to be representative of the different types or families of models commonly used in the literature and include peat-specific models, highly organic or wetland soil models, soil-models and land surface models/dynamic global vegetation components of ESMs that include a peat module (<xref ref-type="table" rid="T1">Table 1</xref>). The models also have different spatial domains. LPX-Bern, Digibog, ecosys and Wetland-DNDC have been applied to boreal, temperate, and tropical or subtropical sites. However, most models do not simulate peatland soil carbon in all three bioclimatic regions. Models with a boreal-only published version are JULES-peat, LPJ-WHyMe, LPJ-GUESS, ORCHIDEE-peat, and Peatbog. ECOSSE, Millenia, MWM and peatland-VU have only been applied to temperate peatlands. CLASS-CTEM and CoupModel have been applied to boreal and temperate sites. Finally, there is a temperate and a tropical version of HPM.</p>
</sec>
</sec>
<sec id="s2">
<title>2 Moisture effects on decomposition</title>
<p>Soil moisture and water table depth affect the soil microbial community structure and microbial activity, and in turn the organic matter decomposition (<xref ref-type="bibr" rid="B65">Jackson et al., 2009</xref>; <xref ref-type="bibr" rid="B85">M&#xe4;kiranta et al., 2009</xref>; <xref ref-type="bibr" rid="B62">Husen et al., 2014</xref>; <xref ref-type="bibr" rid="B81">Liu L. et al., 2016</xref>; <xref ref-type="bibr" rid="B41">Girkin et al., 2020a</xref>; <xref ref-type="bibr" rid="B106">Shabbir et al., 2024</xref>). In tropical peatlands, bacteria dominate the microbial community with the largest relative contribution to respiration (<xref ref-type="bibr" rid="B61">Husen and Agus, 2011</xref>; <xref ref-type="bibr" rid="B31">Dhandapani et al., 2019</xref>; <xref ref-type="bibr" rid="B30">Dhandapani et al., 2020</xref>; <xref ref-type="bibr" rid="B41">Girkin et al., 2020a</xref>). The bacterial community biomass and diversity peak at intermediate depths (<xref ref-type="bibr" rid="B3">Andersen et al., 2013</xref>; <xref ref-type="bibr" rid="B30">Dhandapani et al., 2020</xref>) while the fungi play a dominant role in decomposition in the upper oxic layers (<xref ref-type="bibr" rid="B3">Andersen et al., 2013</xref>; <xref ref-type="bibr" rid="B41">Girkin et al., 2020a</xref>). The presence of fungi is limited by the low redox potential at depth and in waterlogged conditions (<xref ref-type="bibr" rid="B3">Andersen et al., 2013</xref>; <xref ref-type="bibr" rid="B41">Girkin et al., 2020a</xref>). The fungi:bacteria ratio influences CO<sub>2</sub> production as fungi produce less CO<sub>2</sub> than bacteria per unit of cell mass therefore resulting in lower CO<sub>2</sub> production rate per gram of microbial biomass (<xref ref-type="bibr" rid="B76">Li Q. et al., 2021</xref>). In permanently waterlogged anaerobic layers, the dominant pathway of peat decomposition is methanogenesis (<xref ref-type="bibr" rid="B3">Andersen et al., 2013</xref>).</p>
<p>
<xref ref-type="bibr" rid="B62">Husen et al. (2014)</xref> observed that the number of microbial populations in moist and dry peat samples remained high, but their activity was inhibited with lower moisture. Dry conditions limit solute transport and therefore reduce microbial activity and microorganisms can become dormant under extremely dry conditions (<xref ref-type="bibr" rid="B93">Moyano et al., 2013</xref>; <xref ref-type="bibr" rid="B138">Yan et al., 2018</xref>). Conversely, high moisture leads to oxygen limitation and a reduction of microbial activity thus lowering rates of decomposition and CO<sub>2</sub> production (<xref ref-type="bibr" rid="B65">Jackson et al., 2009</xref>; <xref ref-type="bibr" rid="B85">M&#xe4;kiranta et al., 2009</xref>; <xref ref-type="bibr" rid="B93">Moyano et al., 2013</xref>; <xref ref-type="bibr" rid="B138">Yan et al., 2018</xref>). A lower number of microbial populations has also been observed in saturated peat compared to non-saturated conditions as higher oxygen availability increases the quantity of microbes and enriches the structure of the microbial community (<xref ref-type="bibr" rid="B62">Husen et al., 2014</xref>; <xref ref-type="bibr" rid="B81">Liu L. et al., 2016</xref>).</p>
<p>Moisture is therefore one of the principal controls of SHR-CO<sub>2</sub> and the relationship between the two has been studied in depth and modelled for other non-peat types of soils (<xref ref-type="bibr" rid="B94">Moyano et al., 2012</xref>; <xref ref-type="bibr" rid="B93">Moyano et al., 2013</xref>; <xref ref-type="bibr" rid="B138">Yan et al., 2018</xref>). Available publications and data on tropical peatlands have only evaluated SHR-CO<sub>2</sub> under 2 or 3 moisture treatments (<xref ref-type="bibr" rid="B14">Brady, 1997</xref>; <xref ref-type="bibr" rid="B63">Inglett et al., 2012</xref>; <xref ref-type="bibr" rid="B57">Hoyos-Santillan et al., 2015</xref>; <xref ref-type="bibr" rid="B58">Hoyos-Santillan et al., 2016</xref>; <xref ref-type="bibr" rid="B59">Hoyos-Santillan et al., 2019</xref>; <xref ref-type="bibr" rid="B111">Sj&#xf6;gersten et al., 2018</xref>; <xref ref-type="bibr" rid="B141">Young et al., 2023</xref>). To the best of our knowledge, <xref ref-type="bibr" rid="B123">Van Lent et al. (2019)</xref> is the only paper to report a fitted function of SHR-CO<sub>2</sub> across moisture conditions from 25% to 100% saturation and flooded conditions for an intact tropical peatland. They were able to fit a cubic polynomial to the data for their intact site in the Peruvian Amazon. They observed a significantly lower CO<sub>2</sub> production for the intact site across the water filled pore space (WFPS) treatments compared to their two degraded sites. However, when scaled to their respective maximum, the SHR-CO<sub>2</sub> curves with moisture are similar and overlap for all three levels of degradation. Some additional SHR-CO<sub>2</sub> rates across the moisture range and fitted SHR-CO<sub>2</sub>-moisture functions are also available for four degraded/cultivated tropical peatlands (<xref ref-type="bibr" rid="B62">Husen et al., 2014</xref>; <xref ref-type="bibr" rid="B123">Van Lent et al., 2019</xref>), for some Canadian temperate and boreal sites (<xref ref-type="bibr" rid="B56">Hogg et al., 1992</xref>; <xref ref-type="bibr" rid="B16">Byun et al., 2021</xref>) and a mountain peatland (<xref ref-type="bibr" rid="B128">Wang X. et al., 2010</xref>). Although these studies fitted polynomial functions of various degrees (quadratic being the most common), the fitted functions are all bell-shaped with some flatter parabolas. These various polynomial functions show a steeper decline of CO<sub>2</sub> flux in low and high moistures conditions compared to the cubic polynomial curve fitted for the intact tropical site (<xref ref-type="bibr" rid="B123">Van Lent et al., 2019</xref>). Nevertheless, this does not necessarily mean there is a significant difference in the processes behind the SHR-CO<sub>2</sub> between those different sites as those studies used different experimental settings. The shape of the curve at high moisture conditions is influenced by whether the incubations were completely anoxic or not. Most incubations reported here did not include flushing the incubated samples and therefore some oxygen might have still been present at saturation leading to a higher CO<sub>2</sub> flux. On the other end the lowest moisture treatment in each incubation experiment also influences the resulting moisture-SHR-CO<sub>2</sub> function shape. The driest incubations treatment amongst the studies varies between near 0% WFPS to 25%WFPS. Notably <xref ref-type="bibr" rid="B123">Van Lent et al. (2019)</xref> considered moisture treatments above 25%WFPS, additional measurements in drier conditions might draw the function towards a in a steeper bell-shaped curve.</p>
<p>These bell-shaped curves are characterised by an optimum moisture level and are more or less concave depending on the relative values of SHR-CO<sub>2</sub> at 0% and 100% saturation (<xref ref-type="fig" rid="F1">Figure 1</xref>). The relative SHR-CO<sub>2</sub> (unitless ratio) at 0% moisture is of relative unimportance for intact peatlands as they are generally characterised by wet soils and rarely approach completely dry conditions. This might become more important for degraded peatlands and/or those exposed to prolonged droughts. Conversely, the relative SHR-CO<sub>2</sub> at saturation, also referred to as the &#x2018;moisture resting point&#x2019; herein (unitless), is of key importance for carbon accumulation in peatlands. So, the impact of moisture on SHR-CO<sub>2</sub> for peatlands can be characterised by two critical values: the optimum moisture level for maximum SHR-CO<sub>2</sub> and the relative reduced respiration at saturation (or moisture resting point) (<xref ref-type="fig" rid="F1">Figure 1</xref>).</p>
<fig id="F1" position="float">
<label>FIGURE 1</label>
<caption>
<p>Moisture - soil heterotrophic respiration to CO<sub>2</sub> schematic curves. SHR-CO<sub>2</sub> ratio (unitless) is the relative SHR-CO<sub>2</sub> at each moisture content relative to the maximum respiration at the optimum moisture content. The optimum moisture is the moisture (% saturation) at the maximum SHR-CO<sub>2</sub> ratio. The moisture resting point is the value of the SHR-CO<sub>2</sub> ratio at saturation.</p>
</caption>
<graphic xlink:href="fgeoc-03-1492386-g001.tif"/>
</fig>
<sec id="s2-1">
<title>2.1 Optimal moisture for SHR-CO<sub>2</sub>
</title>
<p>Since SHR-CO<sub>2</sub> rates drop under both low and high moisture, there is, in between, an optimum moisture condition at which the SHR-CO<sub>2</sub> rate reaches a maximum (<xref ref-type="fig" rid="F1">Figure 1</xref>). The position of this optimal moisture level varies with soil type and with soil characteristics such as porosity and soil organic matter content.</p>
<p>According to <xref ref-type="bibr" rid="B94">Moyano et al. (2012)</xref>, the optimum moisture in inorganic and organic soils ranges between 0.4 and 0.9, and the response of respiration to moisture is significantly correlated to soil properties for mineral soils unlike for organic soils. <xref ref-type="bibr" rid="B138">Yan et al. (2018)</xref> developed a moisture function of soil heterotrophic respiration for a range of soil types and with measurable parameters. The function was evaluated and calibrated on incubation data from a range of soil types (but not including peat) and provides an insight into the effects of soil properties on the relationship between SHR-CO<sub>2</sub> and moisture. Analytical and simulated results show that the optimum water content increases with clay content and porosity but decreases with soil organic carbon. However, SHR-CO<sub>2</sub> was not sensitive to the latter in highly organic soils (<xref ref-type="bibr" rid="B138">Yan et al., 2018</xref>). Considering that peat is carbon-rich, the optimum water content for peat soil should not be linked to carbon content but could remain significantly related to porosity.</p>
<p>Incubation of peat samples from boreal and temperate sites in Canada showed a CO<sub>2</sub> flux maxima between 59% and 95% water filled pore space (WFPS) (<xref ref-type="bibr" rid="B16">Byun et al., 2021</xref>) (<xref ref-type="fig" rid="F2">Figure 2A</xref>). <xref ref-type="bibr" rid="B56">Hogg et al. (1992)</xref> report optimum moisture between 44 and 61 mean % saturation for another Canadian boreal peatland site. <xref ref-type="bibr" rid="B62">Husen et al. (2014)</xref> and <xref ref-type="bibr" rid="B61">Husen and Agus (2011)</xref> report optimum moisture of 24% WFPS for subsurface peat (30&#x2013;50&#xa0;cm) and of 52% and 66% WFPS for surface (0&#x2013;20&#xa0;cm) drained peat palm oil plantations in Indonesia (<xref ref-type="fig" rid="F2">Figure 2A</xref>). For shallow surface samples (0&#x2013;6&#xa0;cm) (<xref ref-type="bibr" rid="B25">Comeau et al., 2021</xref>) observed an optimal moisture falling within the 20&#x2013;40%WFPS interval for their primary forest and oil palm plantation sites and 40&#x2013;60%WFPS for their drained forest site. <xref ref-type="bibr" rid="B123">Van Lent et al. (2019)</xref> measured optimum moisture of 73, 71% and 62% WFPS along a gradient of peatland degradation from intact to high degradation in the Peruvian Amazon.</p>
<fig id="F2" position="float">
<label>FIGURE 2</label>
<caption>
<p>
<bold>(A)</bold> Optimum moisture for SHR-CO<sub>2</sub> from intact peatlands in Canada (n &#x3d; 28) (<xref ref-type="bibr" rid="B16">Byun et al., 2021</xref>; <xref ref-type="bibr" rid="B56">Hogg et al., 1992</xref>), one intact and three disturbed peatlands in Indonesia (n &#x3d; 5) (<xref ref-type="bibr" rid="B62">Husen et al., 2014</xref>; <xref ref-type="bibr" rid="B25">Comeau et al., 2021</xref>) and a gradient of peatland degradation in the Peruvian Amazon (n &#x3d; 3) (<xref ref-type="bibr" rid="B123">van Lent et al., 2019</xref>) (ANOVA, F &#x3d; 17.05, df &#x3d; 4, p &#x3c; 0.001, letters indicate significant differences Tukey HSD p &#x003c; 0.05). <bold>(B)</bold> Moisture - SHR-CO<sub>2</sub> curves and envelope from above mentioned studies (except from <xref ref-type="bibr" rid="B25">Comeau et al. (2021)</xref> as they did not fit a moisture curve in their study).</p>
</caption>
<graphic xlink:href="fgeoc-03-1492386-g002.tif"/>
</fig>
<p>There is a significant latitudinal trend for optimum moisture (absolute value of latitude (decimal degrees), Pearson&#x2019;s correlation coefficient &#x3d; 0.53, p &#x3c; 0.001) across the data from the five optimum moisture studies (<xref ref-type="bibr" rid="B56">Hogg et al., 1992</xref>; <xref ref-type="bibr" rid="B62">Husen et al., 2014</xref>; <xref ref-type="bibr" rid="B123">Van Lent et al., 2019</xref>; <xref ref-type="bibr" rid="B16">Byun et al., 2021</xref>; <xref ref-type="bibr" rid="B25">Comeau et al., 2021</xref>). However, considering the small sample size which also include various degrees of degradation, this relationship is not necessarily robust. Optimum moisture is significantly different between degradation levels (ANOVA, F &#x3d; 6.507, df &#x3d; 2, p &#x3c; 0.005) (<xref ref-type="fig" rid="F2">Figure 2B</xref>). The optimum for the four drained sites is significantly lower than for intact sites (n &#x3d; 30), but there is no significant difference between harvested (n &#x3d; 2) and drained and harvested and intact. This suggests that optimum moisture might be different between pristine and degraded sites but remains uncertain as the number of disturbed sites in the compilation is very low. This higher degradation associated with lower optimum moisture WFPS values is congruent with <xref ref-type="bibr" rid="B138">Yan et al. (2018)</xref>, as peat porosity (inverse relationship with bulk density) decreases with drainage and degradation. However, there is no significant correlation between the bulk density and the optimum moisture across the compiled moisture data (p &#x3e; 0.05, n &#x3d; 36). More experimental data would be necessary to clarify if a general relationship for mineral, organic carbon-rich and peat exists.</p>
</sec>
<sec id="s2-2">
<title>2.2 SHR-CO<sub>2</sub> at saturation</title>
<p>For comparison purposes, the SHR-CO<sub>2</sub> at saturation (unitless) is expressed here as a fraction of the maximum SHR-CO<sub>2</sub> at the optimum moisture.</p>
<p>To the best of our knowledge, <xref ref-type="bibr" rid="B123">van Lent et al. (2019)</xref> is the only study reporting a fitted function of SHR-CO<sub>2</sub> across the moisture range for one intact and two degraded tropical peatland sites, leading to MRP values between 0.56 and 0.85. Other studies did not fit a function across the moisture range and or only measured SHR or litter decomposition under two or three moisture conditions and oxygen treatments (defined as % saturation moisture, above/below the water table, anoxic, oxic or flooded oxic). This does not allow the calculation of the moisture resting point (MRP) as the maximum SHR-CO<sub>2</sub> at the optimum moisture is unknown. However, an upper estimate of the moisture resting point can be obtained substituting the SHR-CO<sub>2</sub> at the optimum moisture in this ratio with the available SHR-CO<sub>2</sub> from the drier or oxic treatment (<xref ref-type="fig" rid="F3">Figure 3</xref>; <xref ref-type="sec" rid="s12">Supplementary Table S3</xref>).</p>
<fig id="F3" position="float">
<label>FIGURE 3</label>
<caption>
<p>Upper estimate of the moisture resting point (MRP) (unitless) (i.e., ratio of SHR-CO<sub>2</sub> between treatments) for intact tropical peatlands [<xref ref-type="bibr" rid="B14">Brady, 1997</xref> (n &#x3d; 15); <xref ref-type="bibr" rid="B63">Inglett et al., 2012</xref> (n &#x3d; 15); <xref ref-type="bibr" rid="B57">Hoyos-Santillan et al., 2015</xref> (n &#x3d; 12), 2016 (n &#x3d; 36), 2019 (n &#x3d; 2); <xref ref-type="bibr" rid="B111">Sj&#xf6;gersten et al., 2018</xref> (n &#x3d; 8); <xref ref-type="bibr" rid="B123">van Lent et al., 2019</xref> (n &#x3d; 1); <xref ref-type="bibr" rid="B141">Young et al., 2023</xref> (n &#x3d; 6)] (ANOVA, F &#x3d; 53.49, df &#x3d; 7, <italic>p</italic> &#x3c; 0.001, letters indicate significant differences Tukey HSD <italic>p</italic> &#x3c; 0.05).</p>
</caption>
<graphic xlink:href="fgeoc-03-1492386-g003.tif"/>
</fig>
<p>The upper estimate of the moisture resting point is highly variable, but this can be explained by the differing methodological approaches of the studies which limits their comparability (length, sample material, <italic>in situ</italic> or <italic>ex-situ</italic>, CO<sub>2</sub> flux vs. decay) (<xref ref-type="fig" rid="F4">Figure 4A</xref>; <xref ref-type="sec" rid="s12">Supplementary Table S3</xref>). Common methods to study peat (or litter) decomposition are litter bag experiments (based on mass loss), surface or depth gas flux measurements <italic>in situ</italic>, or incubation experiments (gas fluxes) <italic>ex situ</italic>. Litter bag experiments can slightly overestimate the decomposition coefficient as there can be some losses during the experiment set up (<xref ref-type="bibr" rid="B71">Lam et al., 2021</xref>). Small fragments of leaf litter can easily be lost during collection and washing through the mesh when they are highly decomposed. A small mesh size relative to litter fragments can reduce this bias (<xref ref-type="bibr" rid="B71">Lam et al., 2021</xref>). <italic>In situ</italic> gas measurements at the peat surface do not give a total instantaneous gas production estimate for the whole peat profile but a flux that is dependent on transport also. This may be a relevant nuance to keep in mind depending on the temporal and geographic scale of the model.</p>
<fig id="F4" position="float">
<label>FIGURE 4</label>
<caption>
<p>Upper estimates of the MPR (unitless) (i.e., ratio of SHR-CO<sub>2</sub> between treatments) for intact tropical peatlands <bold>(A)</bold> by measurement method (n &#x3d; 75, 2 and 18, ANOVA F &#x3d; 3.294, df &#x3d; 2, p &#x3c; 0.05, Tukey HSD pair-wise differences insignificant p &#x3e; 0.05) and <bold>(B)</bold> by moisture-oxygen effect studied for the incubation group (n &#x3d; 40, 16, and 19). The resting point for the water saturation effect group is significantly higher than for the two other treatments (ANOVA F &#x3d; 160.7, df &#x3d; 2, p &#x3c; 0.001, and subsequent Tukey&#x2019;s test p &#x3c; 10<sup>&#x2212;7</sup>, letters indicate significant differences). Anoxia group: ratio of SHR-CO<sub>2</sub> between an anoxic sample and its corresponding oxic sample under saturated conditions. Water-saturation group: ratio of SHR-CO<sub>2</sub> between water saturated sample and a corresponding unsaturated sample all under oxic conditions. Anoxia and water-saturation group: ratio of SHR-CO<sub>2</sub> between an anoxic and water-saturated sample and a corresponding oxic and unsaturated sample.</p>
</caption>
<graphic xlink:href="fgeoc-03-1492386-g004.tif"/>
</fig>
<p>The <italic>in situ</italic> gas measurements by <xref ref-type="bibr" rid="B59">Hoyos-Santillan et al. (2019)</xref> carried out with a fluctuating water table depth, give an estimate of the CO<sub>2</sub> in the peat column when the water table is above (&#x3e;5&#xa0;cm) or below (&#x3c;&#x2212;5&#xa0;cm) the peat surface. This study highlights that CO<sub>2</sub> fluxes measured <italic>in situ</italic> using a chamber show a significant relationship with water table depth. However, even in conditions where the water table is 5&#xa0;cm below the surface, some of the peat column remains saturated at depth and this method therefore underestimates the ratio between water-saturated and drier conditions (i.e., the moisture resting point).</p>
<p>The second methodological group of studies are the litter bag experiments (<xref ref-type="bibr" rid="B57">Hoyos-Santillan et al., 2015</xref>; <xref ref-type="bibr" rid="B141">Young et al., 2023</xref>) (<xref ref-type="fig" rid="F4">Figure 4A</xref>). This experimental setup can overestimate the decomposition, but it also measures total carbon losses via total mass loss whereas the <italic>in situ</italic> and <italic>ex situ</italic> gas measurements differentiate the CO<sub>2</sub> from CH<sub>4</sub>, DOC and POC. The two studies available for tropical peatlands both estimate the decomposition of leaf, stem and root litter at the surface and at 50&#xa0;cm depth. The two depths are assumed to represent drier conditions above the water table and saturated conditions under the water table. However, the difference between oxic (surface litterbags) and anoxic (50&#xa0;cm depth litterbags) can be underestimated as those conditions are not fully maintained because of seasonal flooding and drying (even at 50&#xa0;cm depth) of the peatlands, therefore skewing further the resulting dry/saturated ratio towards high values. The decomposer community is also a confounding factor when comparing oxic and anoxic decomposition with this method as the microbial community composition and size changes with depth and litter type (<xref ref-type="bibr" rid="B65">Jackson et al., 2009</xref>; <xref ref-type="bibr" rid="B3">Andersen et al., 2013</xref>; <xref ref-type="bibr" rid="B76">Li et al., 2021</xref>). Therefore, the comparison of the decomposition in the surface and subsurface litter bags does not simply represents the decomposition difference between contrasting moisture conditions but also includes the effect of the microbial and macro decomposer or detritivore communities. Despite the limited validity of the dry/saturated ratios for comparison with the litter bag method, <xref ref-type="bibr" rid="B57">Hoyos-Santillan et al. (2015)</xref> concluded that the decline of oxygen with depth due to saturation is the main control of litter decomposition, in agreement with the <italic>in-situ</italic> gas measurements (<xref ref-type="bibr" rid="B59">Hoyos-Santillan et al., 2019</xref>).</p>
<p>Finally, the third methodological group are <italic>ex situ</italic> incubations studies (<xref ref-type="bibr" rid="B14">Brady, 1997</xref>; <xref ref-type="bibr" rid="B63">Inglett et al., 2012</xref>; <xref ref-type="bibr" rid="B58">Hoyos-Santillan et al., 2016</xref>; <xref ref-type="bibr" rid="B111">Sj&#xf6;gersten et al., 2018</xref>) (<xref ref-type="fig" rid="F4">Figure 4A</xref>). These studies constitute the group with the lowest upper estimates of the moisture resting point with a median of 0.126. However, it still presents a large variability and with many outliers despite the controlled laboratory conditions which avoid the limitations highlighted for the litter bag and <italic>in situ</italic> measurements. The large variability and presence of outliers can be explained by the difference in treatments between the incubation experiments and the entangled effect of moisture and oxygen availability. The incubation studies had mainly three water-oxygen treatments: 1) saturated and anoxic (100%WFPS or flooded and N<sub>2</sub> flushed microcosms), 2) saturated but not fully anoxic or oxic because the saturation threshold is sometimes defined as &#x3c;100%WFPS and/or the microcosms were not flushed with N<sub>2</sub> (therefore the water in the samples remain more or less oxygenated) and/or even actively maintained oxic using shaking with a headspace containing oxygen and 3) not saturated oxic (&#x3c;100%WFPS).</p>
<p>The ratio of the first and second type of treatments isolates the impact of oxygen availability on heterotrophic respiration (<xref ref-type="fig" rid="F4">Figure 4B</xref>, effect of anoxia). The ratio of the second and third types of experiments provides information on the impact of water saturation (and maybe associated decrease in oxygen availability in the essays where the oxic conditions were not maintained on purpose) (<xref ref-type="fig" rid="F4">Figure 4B</xref>, effect of water saturation) and the ratio of the first and third groups of experiments shows the impact of water saturation and anoxia combined. SHR-CO<sub>2</sub> decreases slightly with saturation in oxic conditions but significantly more with anoxia, whether in water saturated condition or not (<xref ref-type="fig" rid="F4">Figure 4B</xref>) (ANOVA, F &#x3d; 160.7, df &#x3d; 2, p &#x3c; 0.001, TukeyHSD p &#x3c; 0.001). However, the impact of anoxia and the combined impact of anoxia and water saturation are not significantly different for the moisture resting point (p &#x3e; 0.05). This suggests that the assumption that saturation of the peat is equivalent to anoxia in incubation experiments may not always be correct. However, assuming that high water tables eventually lead to anoxia is still a useful approximation for models as we can assume that over time, oxygen in the peat water is consumed in aerobic metabolic processes so after a time, saturation equates anoxia. The median upper estimates of the moisture resting point for anoxia (group 1) and anoxia and water saturated (group 3) is 0.105 &#xb1; 0.078, and the range is 0.005&#x2013;0.290 with one outlier at 0.446 (<xref ref-type="fig" rid="F4">Figure 4B</xref>). Including incubation data for undisturbed temperate and boreal peatlands (<xref ref-type="sec" rid="s12">Supplementary Table S4</xref>) leads to similar overall values (median 0.120, range 0.005-0.302 with outliers up to 0.693 which are potentially due to imperfect anoxic incubation conditions).</p>
</sec>
<sec id="s2-3">
<title>2.3 Representation of moisture impacts on tropical peatland CO<sub>2</sub>-respiration in models</title>
<p>The most common type of function used to account for the impact of moisture on SHR-CO<sub>2</sub> is bell-shaped, in agreement with observed relationships. ORCHIDEE-peat, LPJ-GUESS and HPM use a bell-shaped curve that uses a single smooth function (<xref ref-type="fig" rid="F5">Figure 5</xref>). Other models use a roughly bell-shaped composite function, with multiple individually defined sections for different moisture or water table depth intervals (JULES-peat, MWM, Peatbog, CoupModel, ECOSSE) (<xref ref-type="fig" rid="F5">Figure 5</xref>). Some models account for moisture via the respiration base rates, with different parameter values for the oxic acrotelm and anoxic catotelm or use a constant anoxic factor (LPJ-WHyMe, CLASS-CTEM, MILLENNIA and Digibog). LPX-Bern uses a combination of the two approaches mentioned above depending on the position in the peat profile. Finally, some models rely on more complex formulations: PEATLAND-VU, ecosys, and WETLAND-DNDC isolate the influence of moisture and oxygen or redox potential availability into two distinct functions.</p>
<fig id="F5" position="float">
<label>FIGURE 5</label>
<caption>
<p>Moisture - SHR-CO<sub>2</sub> curves (<xref ref-type="bibr" rid="B56">Hogg et al., 1992</xref>; <xref ref-type="bibr" rid="B62">Husen et al., 2014</xref>; <xref ref-type="bibr" rid="B123">van Lent et al., 2019</xref>; <xref ref-type="bibr" rid="B16">Byun et al., 2021</xref>) and moisture functions from the peat models when applicable. For JULES-Peat the displayed envelope indicates the range of values found in a typical boreal peat profile. The models not represented on the graph are relying on water table depth or consider only an oxic and anoxic zone (MILLENNIA, DigiBog, CLASS-CTEM, LPJ-WHyMe, LPX-Bern), soil water potential (ecosys, PEATLAND-VU), or require information on soil hydraulic properties (ECOSSE) or three locally fitted parameters (CoupModel).</p>
</caption>
<graphic xlink:href="fgeoc-03-1492386-g005.tif"/>
</fig>
<p>The resulting optimum moisture conditions in models, where applicable, range between 45% (LPX-Bern for the acrotelm) and 75% (LPJ-GUESS) (<xref ref-type="fig" rid="F5">Figure 5</xref>). Some consider there is a plateau of maximum SHR-CO<sub>2</sub>, defined between field capacity and &#x2212;100&#xa0;kPa of matrix potential (ECOSSE) or 80% saturation (PEATLAND-VU) or between 20% and 77% saturation (CoupModel). Finally, in JULES-peat the position of the maximum SHR-CO<sub>2</sub> plateau is a function of the soil wilting point. The latter can either be set as a parameter or to vary with soil characteristics and a higher wilting point will lead to maximum decomposition at higher moisture levels.</p>
<p>The moisture resting point across models varies between 0 (PEATLAND-VU) and 0.35 (LPX-Bern acrotelm). In models with a more complex formulation, the resting point is also sometimes considered as a function of redox potential (0.8&#x2013;0.2 with decreasing redox potential in WETLAND-DNDC) or depth below the water table (from 0.3 to 0.001 in HPM).</p>
</sec>
<sec id="s2-4">
<title>2.4 Summary and next steps</title>
<p>Our review of the moisture sensitivity of SHR-CO<sub>2</sub> in tropical peatlands indicates that the optimal moisture varies within a large range and might be a function of soil properties, and that the respiration at saturation only drops in controlled anoxic conditions. The moisture impact on SHR-CO<sub>2</sub> is usually modelled as a bell-shaped curve which is characterised by two key parameters: the optimum moisture and the moisture resting point (<xref ref-type="fig" rid="F1">Figure 1</xref>).</p>
<p>The impact of moisture on SHR-CO<sub>2</sub> is intertwined with the impact of oxygen availability. Saturation alone without oxygen limitation only slightly decreases SHR-CO<sub>2</sub>, as oxygen dissolved in the water is still available for aerobic decomposition. On the other hand, anoxia strongly limits SHR-CO<sub>2</sub> whether the microcosms were water saturated or not. The bell-shaped curve function observed is a result of both moisture and oxygen availability. Moisture resting point estimates, assuming water saturation equals anoxia, ranged between 0.005-0.290 with a median of 0.105.</p>
<p>The optimum moisture of degraded peatlands with higher bulk densities was lower than for intact peatlands. This is in agreement with the relationship between porosity and optimum moisture observed by <xref ref-type="bibr" rid="B138">Yan et al. (2018)</xref> for a range of non-peat soils. The mean optimum moisture in intact global peatlands is 68% saturation (range 44&#x2013;95 %saturation).</p>
<p>Despite this insight into moisture sensitivity, constraining the relationship of optimum moisture and SHR-CO<sub>2</sub> in a more sophisticated way in models using soil properties and a distinct oxygen and moisture functions for tropical peatlands is still not possible due to the scarcity of incubation data for peat soils. Considering the current state of knowledge, the use of a simple assumption of anoxia with water saturation and a constant optimal moisture remains a more parsimonious solution for peat models. Moving forwards, further SHR-CO<sub>2</sub> incubation measurements of peat soils across the moisture range (for instance at 20% WFPS intervals) are needed and including detailed soil sample properties, such as bulk density or porosity, and the oxygen level at which the measurements are made would also be valuable. This would provide the necessary evidence to refine models on the optimum moisture conditions for tropical peat soils and shed light on a potential maximum respiration plateau.</p>
</sec>
</sec>
<sec id="s3">
<title>3 Temperature effects on decomposition</title>
<p>Temperature response and sensitivity of soil heterotrophic respiration is one of the main uncertainties in our understanding and predictions of the global carbon cycle (<xref ref-type="bibr" rid="B17">Carey et al., 2016</xref>; <xref ref-type="bibr" rid="B12">Booth et al., 2017</xref>; <xref ref-type="bibr" rid="B64">Intergovernmental Panel on Climate Change, 2023</xref>).</p>
<p>Amongst the various approaches to quantify the influence of temperature on soil carbon decomposition, Q<sub>10</sub> is a widely used metric that allows comparison between studies (e.g., <xref ref-type="bibr" rid="B47">Hamdi et al., 2013</xref>; <xref ref-type="bibr" rid="B67">Kirschbaum, 1995</xref>; <xref ref-type="bibr" rid="B82">Lloyd and Taylor, 1994</xref>; <xref ref-type="bibr" rid="B135">Wu Q. et al., 2021</xref>). Q<sub>10</sub> for SHR-CO<sub>2</sub> is defined as the proportional change in respiration when the soil is exposed to a 10&#xb0;C increase in temperature:<disp-formula id="equ1">
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</inline-formula>C) respectively. The Q<sub>10</sub> approach assumes that reaction rates follow an exponential increase over a limited temperature range (<xref ref-type="bibr" rid="B82">Lloyd and Taylor, 1994</xref>). A high Q<sub>10</sub> indicates a high sensitivity to temperature.</p>
<p>There are several methods to extract Q<sub>10</sub> values of soil carbon decomposition from incubation experiments (<xref ref-type="bibr" rid="B47">Hamdi et al., 2013</xref>; <xref ref-type="bibr" rid="B77">Liang et al., 2015</xref>; <xref ref-type="bibr" rid="B127">Wang Q. et al., 2019</xref>; <xref ref-type="bibr" rid="B16">Byun et al., 2021</xref>) and in particular, the equal-time and the model-fit methods are the most common. The equal-time method relies on the comparison of fluxes from two samples incubated at different temperatures after an equal-time incubation or one sample incubated at different temperatures for a given time (Q<sub>10</sub> &#x3d; (C<sub>high</sub> &#x2215;C<sub>low</sub>) <sup>[10/(Thigh&#x2212;Tlow)]</sup>) (<xref ref-type="bibr" rid="B47">Hamdi et al., 2013</xref>; <xref ref-type="bibr" rid="B127">Wang Q. et al., 2019</xref>; <xref ref-type="bibr" rid="B16">Byun et al., 2021</xref>). In the model-fit method, Q<sub>10</sub> is a fitted model parameter. Again, with the data either coming from multiple samples each incubated a specific temperature or from one sample incubated under various temperatures over a given time. Several models are generally used (such as one-pool model, or two or three carbon pools) each with different assumptions (<xref ref-type="bibr" rid="B47">Hamdi et al., 2013</xref>; <xref ref-type="bibr" rid="B77">Liang et al., 2015</xref>). Although less common, Q<sub>10</sub> can also be derived from the activation energy obtained with the Arrhenius function.</p>
<p>
<xref ref-type="bibr" rid="B81">Liu et al. (2016)</xref> and <xref ref-type="bibr" rid="B106">Shabbir et al. (2024)</xref> both observed a positive impact of temperature on the structure and size of microbial communities in mountain peatlands. For a temperate peatland, <xref ref-type="bibr" rid="B76">Li et al. (2021)</xref> found an optimum temperature for CO<sub>2</sub> production rate per gram of microbial biomass between 24&#xb0;C and 28&#xb0;C. However, the response of the microbial community to temperature also depends on the time-scale of warming as the microorganism can potentially acclimatise (<xref ref-type="bibr" rid="B3">Andersen et al., 2013</xref>; <xref ref-type="bibr" rid="B108">Sihi et al., 2018</xref>).</p>
<p>A general rule of thumb is that an increase of 10&#xb0;C typically doubles the rate of reaction (<xref ref-type="bibr" rid="B28">Davidson and Janssens, 2006</xref>; <xref ref-type="bibr" rid="B105">Sadaca et al., 2012</xref>), and the evidence suggests this simple approximation may not be far from observed temperature sensitivity. <xref ref-type="bibr" rid="B47">Hamdi et al. (2013)</xref> compiled Q<sub>10</sub> data across ecosystems for soil organic decomposition and after normalising for temperature and averaging across incubation time, found a mean Q<sub>10</sub> value of 2.04 &#xb1; 1.09 (n &#x3d; 317). In an another similar compilation, <xref ref-type="bibr" rid="B127">Wang et al. (2019)</xref> obtained a mean Q<sub>10</sub> of 2.41 (n &#x3d; 1728, range 0.50&#x2013;9.70). Q<sub>10</sub> is often set to a constant value of 2 for organic matter decomposition, however this generalization has been questioned by the results of field and laboratory measurements which show varying values regionally and with soil type (<xref ref-type="bibr" rid="B47">Hamdi et al., 2013</xref>; <xref ref-type="bibr" rid="B72">Laub et al., 2021</xref>; <xref ref-type="bibr" rid="B135">Wu Q. et al., 2021</xref>).</p>
<sec id="s3-1">
<title>3.1 Literature values for peatland Q<sub>10</sub>
</title>
<p>Estimates of Q<sub>10</sub> values from undisturbed tropical peat samples available in the literature (n &#x3d; 69) range between 0.85 and 3.10 with a few outliers between 7.40 and 11.93 (<xref ref-type="fig" rid="F6">Figures 6A, B</xref>) (<xref ref-type="bibr" rid="B14">Brady, 1997</xref>; <xref ref-type="bibr" rid="B63">Inglett et al., 2012</xref>; <xref ref-type="bibr" rid="B109">Sihi et al., 2016</xref>; <xref ref-type="bibr" rid="B108">Sihi et al., 2018</xref>; <xref ref-type="bibr" rid="B111">Sj&#xf6;gersten et al., 2018</xref>; <xref ref-type="bibr" rid="B84">Maie et al., 2019</xref>; <xref ref-type="bibr" rid="B36">Flanagan et al., 2020</xref>; <xref ref-type="bibr" rid="B40">Girkin et al., 2020b</xref>). The median value is 1.84. The Q<sub>10</sub> estimates were measured under various moisture and oxygen availability treatments as well as peat decomposability types which might explain part of the variability. Comparison is also restricted because of methodological differences between studies.</p>
<fig id="F6" position="float">
<label>FIGURE 6</label>
<caption>
<p>
<bold>(A)</bold> Q<sub>10</sub> estimates from incubation experiments of intact tropical peatland per region from 8 studies (<xref ref-type="bibr" rid="B14">Brady, 1997</xref>; <xref ref-type="bibr" rid="B63">Inglett et al., 2012</xref>; <xref ref-type="bibr" rid="B109">Sihi et al., 2016</xref>; <xref ref-type="bibr" rid="B108">Sihi et al., 2018</xref>; <xref ref-type="bibr" rid="B111">Sj&#xf6;gersten et al., 2018</xref>; <xref ref-type="bibr" rid="B84">Maie et al., 2019</xref>; <xref ref-type="bibr" rid="B36">Flanagan et al., 2020</xref>; <xref ref-type="bibr" rid="B40">Girkin et al., 2020b</xref>). There is no no significant difference between groups (ANOVA, F &#x003D; 1.108, df &#x003D; 4, p &#x003e; 0.05). And outliers (n &#x003D; 6, range : 7.40 - 11.93) are not shown on graph. And <bold>(B)</bold> resulting reaction rate ratio for the corresponding range of Q<sub>10</sub> from these incubations (for a 20&#xb0;C reference temperature).</p>
</caption>
<graphic xlink:href="fgeoc-03-1492386-g006.tif"/>
</fig>
<p>Estimates of Q<sub>10</sub> values from peatlands globally (n &#x3d; 873, from 44 incubation studies, see <xref ref-type="sec" rid="s12">Supplementary Table S5</xref> for details) range between 0.24 and 12.10 with 90% of the estimates falling between 1.16 and 3.62 and a median value of 2.04. The number of available estimates for boreal and temperate peatlands (n &#x3d; 463 and 329 respectively) is much higher than for tropical peatlands (n &#x3d; 81 disturbed and undisturbed). Also, there are no estimates for Africa and very little data for the Southern hemisphere (<xref ref-type="fig" rid="F7">Figure 7</xref>). When aggregated into biomes, only the boreal and temperate groups are significantly different (ANOVA, F &#x3d; 9.843, df &#x3d; 2, p &#x3c; 0.001, Tukey HSD temperate-boreal p &#x3c; 0.001). No geographic pattern is clearly visible (<xref ref-type="fig" rid="F7">Figure 7</xref>), and even though there is a significant linear relationship between latitude and log10 (Q<sub>10</sub>) (df &#x3d; 871, F &#x3d; 8.986, p &#x3c; 0.005), it is a very weak relationship (R<sup>2</sup>
<sub>adjusted</sub> &#x3d; 0.009).</p>
<fig id="F7" position="float">
<label>FIGURE 7</label>
<caption>
<p>Global peatland Q<sub>10</sub> estimates from incubation of peatland soils classified by 20% quantiles. Background tile: Esri, DeLorme, NAVTEQ.</p>
</caption>
<graphic xlink:href="fgeoc-03-1492386-g007.tif"/>
</fig>
<p>
<xref ref-type="bibr" rid="B79">Liu H. et al. (2024)</xref> also observed a significant positive linear relationship at the global scale for peatlands between Q<sub>10</sub> (log10) and latitude (R<sup>2</sup>
<sub>adjusted</sub> &#x3d; 0.29). However, the relationship observed in this study, beyond having a lower R<sup>2</sup>, also has a much lower slope (see <xref ref-type="sec" rid="s12">Supplementary Figure S2.2</xref>). This could be due to differences between datasets. Despite the important overlap, <xref ref-type="bibr" rid="B79">Liu H. et al. (2024)</xref> included <italic>in situ</italic> measurements whereas only incubation studies were included in this study. This emphasizes the remaining uncertainty surrounding how much of the data variability is due to intrinsic temperature sensitivity differences and the processes of soil organic matter (SOM) decomposition versus how much is due to noise resulting from methodological differences including peat samples characteristics and incubation treatment differences between studies.</p>
<sec id="s3-1-1">
<title>3.1.1 Limitations</title>
<p>Despite being widely used, using a constant Q<sub>10</sub> across a large temperature range is an oversimplified assumption to describe SOC decomposition and does not describe accurately its temperature sensitivity (<xref ref-type="bibr" rid="B28">Davidson and Janssens, 2006</xref>; <xref ref-type="bibr" rid="B47">Hamdi et al., 2013</xref>; <xref ref-type="bibr" rid="B135">Wu Q. et al., 2021</xref>). Q<sub>10</sub> does not rely on any theoretical background or account for the underlying mechanisms of SOC decomposition (<xref ref-type="bibr" rid="B67">Kirschbaum, 1995</xref>; <xref ref-type="bibr" rid="B135">Wu Q. et al., 2021</xref>). The assumption that reaction rates increase exponentially with temperature may be a reasonable simplification applicable to elementary reactions over a small temperature range, but is of limited applicability for more complex processes (<xref ref-type="bibr" rid="B135">Wu Q. et al., 2021</xref>).</p>
<p>Soil carbon decomposition rates can vary with time and therefore different incubation durations can result in different Q<sub>10</sub> values, even for the same reaction (<xref ref-type="bibr" rid="B47">Hamdi et al., 2013</xref>; <xref ref-type="bibr" rid="B135">Wu Q. et al., 2021</xref>). In our compilation of peatland Q<sub>10</sub> estimates, the incubation length ranges from a few hours to 600 days which limits the comparability of these studies, as longer incubations results are more likely to be affected by substrate limitation than short incubations. Q<sub>10</sub> values will initially decrease with time due to differing rates of decomposition between labile and recalcitrant pools as their relative size varies with the duration of incubation. Therefore, comparing incubations of different duration may not be informative, as the average substrate quality is likely to be different for incubations of different length, which will lead to different apparent temperature sensitivities (<xref ref-type="bibr" rid="B47">Hamdi et al., 2013</xref>; <xref ref-type="bibr" rid="B77">Liang et al., 2015</xref>). However, in <xref ref-type="bibr" rid="B47">Hamdi et al. (2013)</xref> dataset, Q<sub>10</sub> values derived from the equal-time method did not differ significantly when compared to values derived from other methods. Our Q<sub>10</sub> data compilation includes estimates derived from various calculation methods, but the equal-time methodology is the most common. There is a significant linear relationship between Q<sub>10</sub> and the incubation duration (df &#x3d; 860, F &#x3d; 10.1, p &#x3c; 0.005), but the explanatory power of the relationship is very low (slope &#x3d; &#x2212;0.00085, R<sup>2</sup>
<sub>adjusted</sub> &#x3d; 0.01) (see <xref ref-type="sec" rid="s12">Supplementary Figure S2.3</xref>). The relationship between incubation duration and Q<sub>10</sub> observed here for peat soils does not agree with prior observations for other soil types (<xref ref-type="bibr" rid="B47">Hamdi et al., 2013</xref>) of a convex quadratic relationship. But a notable limitation of this review is the scarcity of long incubation studies.</p>
<p>Q<sub>10</sub> values may be useful when considering small temperature ranges (<xref ref-type="bibr" rid="B47">Hamdi et al., 2013</xref>), however it is a relative measure of temperature sensitivity and is itself temperature dependent, so may be a skewed metric if used over a larger range of temperatures (<xref ref-type="bibr" rid="B28">Davidson and Janssens, 2006</xref>; <xref ref-type="bibr" rid="B47">Hamdi et al., 2013</xref>; <xref ref-type="bibr" rid="B109">Sihi et al., 2016</xref>; <xref ref-type="bibr" rid="B135">Wu, Q. et al., 2021</xref>). Q<sub>10</sub> values decrease with average incubation temperature across ecosystems until 20&#xb0;C&#x2013;25&#xb0;C where it remains fairly constant (ca. 2) (<xref ref-type="bibr" rid="B67">Kirschbaum, 1995</xref>; <xref ref-type="bibr" rid="B47">Hamdi et al., 2013</xref>; <xref ref-type="bibr" rid="B127">Wang Q. et al., 2019</xref>). The results for peatland soils agree with those studies on global SOM decomposition as our peat incubation compilation suggests that there is a significant relationship between Q<sub>10</sub> and the average incubation temperature (quadratic relationship for the natural logarithm of Q<sub>10</sub> (df &#x3d; 871, F &#x3d; 10.94, p &#x3c; 0.001)). However, this relationship is weak (R<sup>2</sup>
<sub>adjusted</sub> &#x3d; 0.022) (see <xref ref-type="sec" rid="s12">Supplementary Figure S2.4</xref>; <xref ref-type="sec" rid="s12">Supplementary Table S1</xref>).</p>
<p>Finally, peat decomposition response to temperature is dependent on the way temperature increases are applied (<xref ref-type="bibr" rid="B119">Updegraff et al., 1998</xref>; <xref ref-type="bibr" rid="B38">Gallego-Sala, 2008</xref>; <xref ref-type="bibr" rid="B108">Sihi et al., 2018</xref>). Many temperature sensitivity laboratory studies either compare two sub-samples exposed to two different temperatures (<xref ref-type="bibr" rid="B120">Updegraff et al., 1995</xref>; <xref ref-type="bibr" rid="B117">Thomas et al., 1996</xref>; <xref ref-type="bibr" rid="B14">Brady, 1997</xref>; <xref ref-type="bibr" rid="B19">Chapman and Thurlow, 1998</xref>; <xref ref-type="bibr" rid="B125">Waddington et al., 2001</xref>; <xref ref-type="bibr" rid="B33">Dioumaeva et al., 2002</xref>; <xref ref-type="bibr" rid="B128">Wang X. et al., 2010</xref>; <xref ref-type="bibr" rid="B49">Hardie et al., 2011</xref>; <xref ref-type="bibr" rid="B63">Inglett et al., 2012</xref>; <xref ref-type="bibr" rid="B116">Szafranek-Nakonieczna and St&#xea;pniewska, 2014</xref>; <xref ref-type="bibr" rid="B140">Ye et al., 2016</xref>; <xref ref-type="bibr" rid="B111">Sj&#xf6;gersten et al., 2018</xref>; <xref ref-type="bibr" rid="B40">Girkin et al., 2020b</xref>) or modify the temperature of incubation stepwise on the same sample (<xref ref-type="bibr" rid="B86">McKenzie et al., 1998</xref>; <xref ref-type="bibr" rid="B139">Yavitt et al., 2000</xref>; <xref ref-type="bibr" rid="B68">Koch et al., 2007</xref>; <xref ref-type="bibr" rid="B52">Hilasvuori et al., 2013</xref>; <xref ref-type="bibr" rid="B109">Sihi et al., 2016</xref>; <xref ref-type="bibr" rid="B16">Byun et al., 2021</xref>; <xref ref-type="bibr" rid="B76">Li Q. et al., 2021</xref>). Unlike step increases or incubation comparisons of two different temperature (usually 5&#xb0;C or 10&#xb0;C apart), <italic>in-situ</italic> temperature changes in peatland soils are gradual. <xref ref-type="bibr" rid="B38">Gallego-Sala (2008)</xref> compared a 5&#xb0;C step increase, a sinusoidal and ramp temperature increase paths. The sinusoidal temperature profile (mimicking the diurnal temperature fluctuations that we might expect <italic>in situ</italic>) yielded significantly lower Q<sub>10</sub> values than the step profile. <xref ref-type="bibr" rid="B108">Sihi et al. (2018)</xref> compared step versus a ramped (0.1&#xb0;C/day) increase of temperature from 15&#xb0;C to 25&#xb0;C. They observed a continuous increase in gas production in the ramp treatment (over the 120 days experiment length) but a stabilisation of production rates after ca. 3&#xa0;weeks in the step treatment. In the slow warming treatment, microorganisms were able to buffer their functioning as evidenced by the fact that their functioning indices (carbon use efficiency, biomass carbon and stable carbon isotopes of CO<sub>2</sub> and CH<sub>4</sub>) were close to those of the control treatment. Total CO<sub>2</sub> production was higher in the ramp treatment and therefore resulted in higher Q<sub>10</sub> values.</p>
<p>The Arrhenius function is an alternative approach for quantifying the temperature sensitivity of SHR-CO<sub>2</sub>. Unlike Q<sub>10</sub>, the Arrhenius function has a theoretical basis (<xref ref-type="bibr" rid="B67">Kirschbaum, 1995</xref>; <xref ref-type="bibr" rid="B46">Gudasz et al., 2021</xref>). Following Arrhenius&#x2019; equation, the soil respiration is a function of <inline-formula id="inf6">
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<mml:mi>T</mml:mi>
</mml:mrow>
</mml:msup>
</mml:mrow>
</mml:math>
</disp-formula>
</p>
<p>It is also applicable to the whole range of temperatures where enzymes are functional. Unlike the Q<sub>10</sub> approach, it is does not face the incubation duration and temperature path dependent response. Furthermore, it would be possible to apply the Arrhenius approach to the existing database if provided with the raw data. However, this is a metric that is not usually reported in incubation experiments.</p>
</sec>
</sec>
<sec id="s3-2">
<title>3.2 Representation of temperature effects on respiration in models</title>
<p>The most common temperature type function used in the reviewed models is a Q<sub>10</sub> type with each model using a slightly different variation of the basic Q<sub>10</sub> exponential function. DigiBog uses a Q<sub>10</sub> of 2.5 or 3 depending on the model version. Calibrated Q<sub>10</sub> values in CoupModel range from 1.95 to 3.5. LPJ-GUESS, ORCHIDDEE and MWM all use a Q<sub>10</sub> of 2 for temperatures above freezing. Below freezing, the temperature modifier decreases to zero at &#x2212;1&#xb0;C (LPJ-GUESS) or &#x2212;4&#xb0;C (ORCHIDEE and MWM). In PEATBOG, the labile SOC is given a lower Q<sub>10</sub> than the recalcitrant SOC (2.3 and 3.3). Finally, the Q<sub>10</sub> value is a function of the soil layer temperature in CLASS-CTEM, starting with a value just under 2 and very slowly decreasing. The other two temperature functions used in more than one of the reviewed models are an Arrhenius-type function (LPJ-WHyMe, LPX-Bern, PEATLAND-VU, ecosys) and the RothC temperature function (JULES-peat, ECOSSE). The RothC temperature function is an empirical function developed for temperate arable land in England (<xref ref-type="bibr" rid="B66">Jenkinson, 1990</xref>; <xref ref-type="bibr" rid="B24">Coleman and Jenkinson, 2014</xref>). For the Arrhenius function, PEATLAND-VU sets the reference temperature to 284&#xa0;K and the activation energy between 96 and 126&#xa0;kJ&#xa0;mol<sup>&#x2212;1</sup>. LPX-Bern, LPJ-WHyMe and ecosys used a modified version of the Arrhenius equation parametrised for their specific sites.</p>
<p>Most models&#x2019; temperature functions are within the range of the empirical reaction rates calculated from the global Q<sub>10</sub> data compilation (<xref ref-type="fig" rid="F8">Figure 8</xref>). PEATLAND-VU uses the highest temperature sensitivity out of all the temperatures functions as it applies activation energy values that are much higher than, for instance, those in ecosys (one of the models with low temperature sensitivity), and also much higher than the activation energy estimates from our data compilation [n &#x3d; 47, mean 37 &#xb1; 31&#xa0;kJ&#xa0;mol<sup>&#x2212;1</sup> (<xref ref-type="bibr" rid="B19">Chapman and Thurlow, 1998</xref>; <xref ref-type="bibr" rid="B139">Yavitt et al., 2000</xref>; <xref ref-type="bibr" rid="B38">Gallego-Sala, 2008</xref>)]. DigiBog also reaches very high ratio of reaction rates for temperatures above 25&#xb0;C because of the low base temperature they use (mostly from applications of the model to the boreal biome). Unlike some other models which are global, DigiBog has several regional versions, and the low base temperature is only used in regions with low temperatures. This highlights one of the limitations of using Q<sub>10</sub>, as the choice of the base temperature (at which the reaction rate ratio is 1) can lead to very different results. Conversely, both ORCHIDEE-Peat and Wetland DNDC show very low reaction rates even at high temperatures. The former rely on a high base temperature for Q<sub>10</sub> (30&#xb0;C), and the later uses a linear temperature function (f<sub>T</sub> &#x3d; T/30) for temperatures below 30&#xb0;C.</p>
<fig id="F8" position="float">
<label>FIGURE 8</label>
<caption>
<p>Variation of peat SHR-CO<sub>2</sub> reaction rate ratio with temperature. <bold>(A)</bold> Global peat incubation data compilation, reaction rate ratio calculated based on the experiment base temperature (for equal-time Q<sub>10</sub> method) or on the incubation mean temperature (for Arrhenius and model-fitting Q<sub>10</sub> method) and only shown over the temperature range of the corresponding incubation. <bold>(B)</bold> Peat model temperature functions or range across versions or fitted parameter ranges. PEATLAND-VU goes up to 65. MILLENNIA and CLASS-CTEM are not represented as they require extra information on the site-specific temperature profile.</p>
</caption>
<graphic xlink:href="fgeoc-03-1492386-g008.tif"/>
</fig>
</sec>
<sec id="s3-3">
<title>3.3 Summary and next steps</title>
<p>Isolating the temperature sensitivity of SHR-CO<sub>2</sub> remains ambiguous as it is difficult to disentangle real variation in temperature responses from the noise due to methodological differences, characteristics of the peat samples (decomposability and substrate availability) and moisture conditions. Despite its limitations, Q<sub>10</sub> is the most convenient metric to investigate temperature sensitivity of SHR-CO<sub>2</sub> because of its widespread use in incubation and field experiments. The median of the global peatland Q<sub>10</sub> measurements collated in this study was 2.04 (with 90% of observations between 1.16 and 3.62). The spread of those estimates over a large range of values could be explained by the various moisture and oxygen availability treatments across experiments as well as peat decomposability and methodological differences between studies such as incubation time or temperature range used to estimate the reported Q<sub>10</sub> values.</p>
<p>This suggests that the frequent use of a constant Q<sub>10</sub> of ca. 2 in peat models seems to be a reasonable simplification for lack of a better alternative at present.</p>
<p>Further empirical investigations maintaining all confounding factors (moisture, decomposability) constant would allow isolating the influence of temperature and would help to constrain a SHR-CO<sub>2</sub> base rate. It would also be beneficial to adopt an approach based on underlying mechanisms of soil organic carbon decomposition such as an Arrhenius response. Existing incubation data could easily be used if provided with raw data to calculate and report an Arrhenius response without the need of further incubation experiments.</p>
</sec>
</sec>
<sec id="s4">
<title>4 Substrate decomposability</title>
<p>There is a variety of definitions of decomposability, not all linked to quality (<xref ref-type="bibr" rid="B26">Conant et al., 2011</xref>). SOM quality characterises how easily soil organic carbon can be mineralised, so a higher quality means more labile SOM. To link quality to thermodynamics, <xref ref-type="bibr" rid="B13">Bosatta and &#xc5;gren (1999)</xref> considered SOM quality as &#x201c;the number of enzymatic steps required to release as carbon dioxide a carbon atom from an organic compound&#x201d;. Therefore quality can be defined as the recalcitrance of SOM due to its molecular structure characteristics (<xref ref-type="bibr" rid="B26">Conant et al., 2011</xref>; <xref ref-type="bibr" rid="B58">Hoyos-Santillan et al., 2016</xref>). However, the decomposability of soil organic matter results from several independent processes. A more explicit description of soil organic matter resistance would include quality and physio-chemical protection (<xref ref-type="bibr" rid="B26">Conant et al., 2011</xref>).</p>
<p>There is not a single index to characterise a sample SOM quality (<xref ref-type="bibr" rid="B13">Bosatta and &#xc5;gren, 1999</xref>). B is one commonly used index of substrate quality which includes both availability and lability&#x2013;a higher B index indicates a higher substrate quality (<xref ref-type="bibr" rid="B35">Fierer et al., 2005</xref>; <xref ref-type="bibr" rid="B68">Koch et al., 2007</xref>; <xref ref-type="bibr" rid="B38">Gallego-Sala, 2008</xref>; <xref ref-type="bibr" rid="B63">Inglett et al., 2012</xref>). B is a fit parameter from the equation describing an assumed exponential response of decomposition rates with temperature.<disp-formula id="equ3">
<mml:math id="m12">
<mml:mrow>
<mml:msub>
<mml:mi>y</mml:mi>
<mml:mi>T</mml:mi>
</mml:msub>
<mml:mo>&#x3d;</mml:mo>
<mml:mi>B</mml:mi>
<mml:mo>&#x2217;</mml:mo>
<mml:mtext>&#x2009;</mml:mtext>
<mml:msup>
<mml:mi>e</mml:mi>
<mml:mrow>
<mml:mi>k</mml:mi>
<mml:mi>T</mml:mi>
</mml:mrow>
</mml:msup>
</mml:mrow>
</mml:math>
</disp-formula>
<disp-formula id="equ4">
<mml:math id="m13">
<mml:mrow>
<mml:mi>w</mml:mi>
<mml:mi>i</mml:mi>
<mml:mi>t</mml:mi>
<mml:mi>h</mml:mi>
<mml:mtext>&#x2009;</mml:mtext>
<mml:msub>
<mml:mi>Q</mml:mi>
<mml:mn>10</mml:mn>
</mml:msub>
<mml:mo>&#x3d;</mml:mo>
<mml:msup>
<mml:mi>e</mml:mi>
<mml:mrow>
<mml:mn>10</mml:mn>
<mml:mi>k</mml:mi>
</mml:mrow>
</mml:msup>
</mml:mrow>
</mml:math>
</disp-formula>where <inline-formula id="inf10">
<mml:math id="m14">
<mml:mrow>
<mml:msub>
<mml:mi>y</mml:mi>
<mml:mi>T</mml:mi>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> is the decomposition rate (&#x3bc;g C-CO<sub>2</sub>&#xb7;g soil<sup>-1</sup>&#xb7;h<sup>-1</sup>), T is the temperature (&#xb0;C), and B and k fit parameters. In peatlands studies, sample depth and/or age are also often used as peat quality surrogate (<xref ref-type="bibr" rid="B14">Brady, 1997</xref>; <xref ref-type="bibr" rid="B49">Hardie et al., 2011</xref>; <xref ref-type="bibr" rid="B109">Sihi et al., 2016</xref>; <xref ref-type="bibr" rid="B108">Sihi et al., 2018</xref>; <xref ref-type="bibr" rid="B76">Li, Q. et al., 2021</xref>). Deeper or older samples containing organic matter that was not degraded in more oxic conditions at the surface are considered more recalcitrant. Peat chemistry (such as abundance of lignin, long fatty acids, polysaccharides or aromatics) is also used as a lability indication (<xref ref-type="bibr" rid="B57">Hoyos-Santillan et al., 2015</xref>; <xref ref-type="bibr" rid="B58">Hoyos-Santillan et al., 2016</xref>; <xref ref-type="bibr" rid="B59">Hoyos-Santillan et al., 2019</xref>; <xref ref-type="bibr" rid="B121">Upton et al., 2018</xref>; <xref ref-type="bibr" rid="B7">Busman et al., 2023</xref>). The ligno-cellulose index (LCI) has been used as an index of SOM decomposability (<xref ref-type="bibr" rid="B87">Melillo et al., 1989</xref>; <xref ref-type="bibr" rid="B29">DeBusk and Reddy, 1998</xref>; <xref ref-type="bibr" rid="B63">Inglett et al., 2012</xref>). LCI is the ratio of lignin to the sum of lignin and cellulose. A high LCI indicates more resistant SOM.</p>
<p>Depth and CO<sub>2</sub> fluxes have been shown to be significantly related in some tropical peatlands (<xref ref-type="bibr" rid="B14">Brady, 1997</xref>; <xref ref-type="bibr" rid="B58">Hoyos-Santillan et al., 2016</xref>; <xref ref-type="bibr" rid="B109">Sihi et al., 2016</xref>) suggesting that decomposability plays a role in determining rates of decomposition in these ecosystems. From a litter decomposition modelling perspective, a &#x201c;two carbon pools&#x201d; (labile and recalcitrant) decay model also fitted litterbag data better than a single pool model (<xref ref-type="bibr" rid="B22">Chimner and Ewel, 2005</xref>). <xref ref-type="bibr" rid="B134">Wright et al. (2011)</xref> also highlighted a strong relationship between CO<sub>2</sub> flux and quantity of labile carbon (expressed as abundance of carbohydrates and/or carbohydrates to aliphatic ratio). Some studies also suggest the quality&#x2013;SHR-CO<sub>2</sub> relationship in tropical peatlands is insignificant. Despite being related to organic matter quality, lignin and phenolic compounds abundance did not show a significant relationship with CO<sub>2</sub> emissions in a peatland in Panama (<xref ref-type="bibr" rid="B59">Hoyos-Santillan et al., 2019</xref>). This is also corroborated by a study in Florida, where there was no significant correlation between CO<sub>2</sub> flux and LCI or any fraction of SOM (lignin, cellulose, labile fraction) both under aerobic and anaerobic conditions (<xref ref-type="bibr" rid="B63">Inglett et al., 2012</xref>). Addition of labile organic matter can also enhance the mineralisation of more recalcitrant organic matter though a priming effect (<xref ref-type="bibr" rid="B48">Hamer and Marschner, 2002</xref>; <xref ref-type="bibr" rid="B96">Nottingham et al., 2012</xref>). Priming was observed in several tropical peatland incubation studies (<xref ref-type="bibr" rid="B48">Hamer and Marschner, 2002</xref>; <xref ref-type="bibr" rid="B42">Girkin et al., 2018a</xref>; <xref ref-type="bibr" rid="B43">2018b</xref>; <xref ref-type="bibr" rid="B2">Akhtar et al., 2022</xref>). This suggests that labile carbon addition to peat via litter input and root exudates can stimulate decomposition (<xref ref-type="bibr" rid="B42">Girkin et al., 2018a</xref>; <xref ref-type="bibr" rid="B43">Girkin et al., 2018b</xref>; <xref ref-type="bibr" rid="B40">Girkin et al., 2020b</xref>; <xref ref-type="bibr" rid="B2">Akhtar et al., 2022</xref>). SHR-CO<sub>2</sub> is therefore influenced by SOM decomposability itself and a priming effect due to labile carbon inputs. Altogether, those indexes such as LCI, depth, age, labile and recalcitrant fractions, might not be the adequate to quantify the link between decomposability and SHR-CO<sub>2</sub> for peatlands. Those metrics have also been shown to be insufficient to describe patterns of litter decomposition as decomposition rate of litter is not simply a direct function of its decomposability but also controlled by interactions with microorganisms and local vegetation (<xref ref-type="bibr" rid="B6">Austin et al., 2014</xref>).</p>
<p>The microbial community structure is dependent on the rate and quality of litter accumulation (<xref ref-type="bibr" rid="B3">Andersen et al., 2013</xref>), and the reduction of readily utilisable substrate contributes to the observed decline in microbial biomass and CO<sub>2</sub> production rates with depth (<xref ref-type="bibr" rid="B65">Jackson et al., 2009</xref>; <xref ref-type="bibr" rid="B3">Andersen et al., 2013</xref>; <xref ref-type="bibr" rid="B76">Li, Q. et al., 2021</xref>). In tropical peatlands, the microbial community has been shown to be significantly different between primary and secondary peat swamp forests (<xref ref-type="bibr" rid="B31">Dhandapani et al., 2019</xref>) or level of peatland disturbance (<xref ref-type="bibr" rid="B30">Dhandapani et al., 2020</xref>) but do not necessarily differ significantly between types of natural dominant vegetation (<xref ref-type="bibr" rid="B41">Girkin et al., 2020a</xref>).</p>
<p>Decomposition rate is also influenced by local vegetation. Faster decomposition of litter from the local vegetation at &#x201c;home&#x201d; compared to far from its environment of origin has been observed in some ecosystems (<xref ref-type="bibr" rid="B6">Austin et al., 2014</xref>). This phenomenon is referred to as the &#x201c;home-field advantage&#x201d; (HFA) and results from the specialisation over time of the decomposer community to degrading the specific local litter type. This can lead to fast decomposition of recalcitrant litter despite its recalcitrance or low nutrient availability in its home environment (<xref ref-type="bibr" rid="B6">Austin et al., 2014</xref>). Available studies report mixed results on the applicability of HFA for boreal (<xref ref-type="bibr" rid="B50">Haynes et al., 2015</xref>; <xref ref-type="bibr" rid="B98">Palozzi and Lindo, 2017</xref>), temperate (<xref ref-type="bibr" rid="B15">Bragazza et al., 2007</xref>) and tropical peatlands (<xref ref-type="bibr" rid="B60">Hoyos-Santillan et al., 2018</xref>; <xref ref-type="bibr" rid="B71">Lam et al., 2021</xref>). <xref ref-type="bibr" rid="B60">Hoyos-Santillan et al. (2018)</xref> highlighted a significant difference in leaf litter decomposition rates between the home and translocation sites but results presented by <xref ref-type="bibr" rid="B71">Lam et al. (2021)</xref> only weakly support the HFA.</p>
<sec id="s4-1">
<title>4.1 Representation of substrate decomposability</title>
<p>All the reviewed models account for differences in decomposability via the base rate of SHR-CO<sub>2</sub> of different carbon pools. Many models define some carbon pools with higher or lower recalcitrance, active vs. passive, litter vs. biomass or humus, and assign a base rate value to each pool. Other models consider the litter, the acrotelm and the catotelm as different carbon pools (LPJ-WHyMe, LPX-Bern). Others, set the value of the base rate based on the PFT and/or vegetation tissue (LPJ-GUESS, MWM, DigiBog, HPM). Less common is the use of base rate categories based on soil chemistry (MILLENA), or peat type and water table depth (CLASS-CTEM). Finally, LPJ-GUESS, MWM and HPM also define base rates to decline over time for all carbon pools.</p>
</sec>
<sec id="s4-2">
<title>4.2 Summary and next steps</title>
<p>The review of the literature highlights a lack of unified approach to characterise peat decomposability. Therefore, no general conclusion can be drawn from the existing studies on the impact of substrate decomposability on SHR-CO<sub>2</sub> for tropical peatlands. Across indices and proxies used, most studies observe a lower SHR-CO<sub>2</sub> with increasing recalcitrance but the lack of a widely used common index limits comparisons.</p>
<p>The lack of common decomposability proxy also limits our ability to identify clear patterns and the drawing of general conclusions that could be useful for models&#x2013;other than the fact that having a two (or more) pools representation with different base rates is better than using a single pool model. Models often rely on vegetation type, vegetation tissue, peat age or peat depth to estimate the organic matter decomposability. For a local peat-specific model, this could be parametrised with corresponding local decomposition data. However, considering the currently available data, this would not be possible at the pantropical or global scale because the wide diversity of peatland ecosystems requires more experimental data on decomposition base rates across different vegetation types.</p>
<p>The noise resulting from diverse moisture and temperature conditions across studies also hinders our understanding of the contribution of carbon decomposability to SHR-CO<sub>2</sub>. This could be solved by experiments focusing on measuring decomposition base rates across vegetation types by using a single base temperature and maintaining optimum moisture conditions for their decomposition.</p>
</sec>
</sec>
<sec id="s5">
<title>5 Nutrient-limitation</title>
<p>There is no consensus yet on how nutrient availability influences tropical peat decay. <xref ref-type="bibr" rid="B60">Hoyos-Santillan et al. (2018)</xref> reported that nutrient addition (nitrogen and/or phosphorus) did not have a significant impact on leaf, stem, and root litter decomposition in most of the treatments. Nitrogen addition only significantly increased the leaf decomposition at depth in waterlogged conditions. This could be explained by the nitrogen limitation in more degraded peat at depth or N-limitation because of the anaerobic conditions slowing down the release of nitrogen from peat. Conversely, phosphorous addition slightly decreased leaf decomposition rates in below-ground waterlogged conditions. This might be explained by lower enzyme activity due to higher phosphorous concentration slowing the decomposition of complex carbon (<xref ref-type="bibr" rid="B60">Hoyos-Santillan et al., 2018</xref>). Overall, nutrient limitation was not a strong control on general litter decomposition, while litter chemistry and O<sub>2</sub> availability were stronger controls (<xref ref-type="bibr" rid="B60">Hoyos-Santillan et al., 2018</xref>). In a second nutrient addition experiment (nitrogen and/or phosphorus) on surface peat, CO<sub>2</sub> fluxes were not significantly different between treatments (<xref ref-type="bibr" rid="B59">Hoyos-Santillan et al., 2019</xref>). The authors suggested that a strong effect of the water table variations cancelling out the effect of nutrient addition could explain this or insufficient labile organic matter availability limiting GHG fluxes. Conversely, <xref ref-type="bibr" rid="B109">Sihi et al. (2016)</xref> and <xref ref-type="bibr" rid="B108">Sihi et al. (2018)</xref> found a significant influence of nutrient levels on peat decomposition. However, both studies concluded that the nutrient level was not the strongest factor, but that decomposition was the most sensitive to depth and temperature (<xref ref-type="bibr" rid="B109">Sihi et al., 2016</xref>) or peat quality (<xref ref-type="bibr" rid="B108">Sihi et al., 2018</xref>).</p>
<p>Despite reaching opposite conclusions on the significance of nutrient levels on tropical peat decomposition, these four studies agree on the relative lower importance of nutrients on peat decay compared to moisture, temperature and quality. If there is any nutrient limitation to SHR-CO<sub>2</sub> in tropical peatlands, which remains an open question, this limitation might also be complex simply because of differences amongst tropical peatland types and sites. The link between nutrients and peat/litter decomposition is further rendered more complex by interactions between litter type and soil organisms. <xref ref-type="bibr" rid="B60">Hoyos-Santillan et al. (2018)</xref> observed a clear HFA in Panama and suggests that decomposer communities are adapted and can overcome nutrient availability. While <xref ref-type="bibr" rid="B71">Lam et al. (2021)</xref> only observed a weak HFA but argue that this may be a result of unspecialised communities between their translocation sites resulting from of high plant diversity which is one of the known limiting factors to observing HFA (<xref ref-type="bibr" rid="B6">Austin et al., 2014</xref>; <xref ref-type="bibr" rid="B71">Lam et al., 2021</xref>). Further work and a change of approach from chemistry-centred to litter-decomposer interactions are needed to improve our understanding of the applicability of the HFA in peatlands and how decomposer communities can overcome nutrient availability.</p>
<sec id="s5-1">
<title>5.1 Representation of nutrient cycles</title>
<p>Five of the reviewed models simulate, with various levels of complexity, nutrient cycles. LPX-Bern simply has two sets of SHR-CO<sub>2</sub> base rates values to account or not for nitrogen limitation. JULES-Peat and ECOSSE assume nitrogen impacts SOM decomposition as it is controlled by the set CN ratio of the biomass and humus pools which must remain constant. PEATBOG includes a nitrogen multiplier depending on whether the CN ratio is above or below a critical threshold. Ecosys includes both nitrogen and phosphorus limitation based on the CN and CP ratios. And Wetland-DNDC &#x2018;s nitrogen reduction factor varies from 1.1 to 0.2 for high N availability (expressed as a CN ration per day) to low N availability.</p>
<p>Only two of the reviewed models include the decomposers. Ecosys splits the soil carbon in organic matter and microbe complexes and the SHR-CO<sub>2</sub> is a function of the active and its properties. In MWM, the decomposition rates are regulated by the microbial biomass, and it includes microbial dynamics.</p>
</sec>
<sec id="s5-2">
<title>5.2 Summary and next steps</title>
<p>There is no consensus in the literature yet about the impact of nitrogen and phosphorus on SHR-CO<sub>2</sub> in tropical peatlands. However, existing studies do agree on the lesser importance of nutrients on SHR-CO<sub>2</sub> compared to moisture, temperature, and peat decomposability. The two studies investigating the applicability of the HFA in tropical peatlands disagree on their results, while the few studies conducted for boreal and temperate peatlands also gave mixed results. Altogether, this highlights the need for more experiments to improve our understanding of both nutrients and litter-decomposers interactions in SHR-CO<sub>2</sub> processes.</p>
<p>Those open questions limit the possible refinement of models at present. However, the available literature points toward the lesser importance of nutrients on organic matter decomposition in tropical peatlands compared to moisture, temperature, and carbon decomposability. Therefore, the priority for model improvement should be, in the first instance, further work on those three primary SHR-CO<sub>2</sub> drivers.</p>
</sec>
</sec>
<sec id="s6">
<title>6 Interaction terms</title>
<sec id="s6-1">
<title>6.1 Moisture and temperature combined effects</title>
<p>There is no consensus on the influence of moisture on the temperature sensitivity of SHR-CO<sub>2</sub> as some studies report an increase in Q<sub>10</sub> under wetter and anoxic conditions (<xref ref-type="bibr" rid="B63">Inglett et al., 2012</xref>) while many others suggest the opposite, a Q<sub>10</sub> increase with oxygen availability and lower water content (<xref ref-type="bibr" rid="B56">Hogg et al., 1992</xref>; <xref ref-type="bibr" rid="B116">Szafranek-Nakonieczna and St&#xea;pniewska, 2014</xref>; <xref ref-type="bibr" rid="B81">Liu L. et al., Liu L. et al., 2016</xref>; <xref ref-type="bibr" rid="B80">Liu L. et al., 2022</xref>; <xref ref-type="bibr" rid="B111">Sj&#xf6;gersten et al., 2018</xref>). Some studies further suggest that the moisture-Q<sub>10</sub> relationship is insignificant (<xref ref-type="bibr" rid="B128">Wang X. et al., 2010</xref>).</p>
<p>The influence of peat moisture on temperature sensitivity includes both the explicit influence of water and the implicit influence of oxygen availability. Teasing out the individual effects of water and oxygen availability offers a partial explanation for those contrasting conclusions. <xref ref-type="bibr" rid="B111">Sj&#xf6;gersten et al. (2018)</xref> compared the Q<sub>10</sub> values of incubated flooded oxic and flooded anoxic samples, therefore isolating the impact of oxygen on temperature sensitivity, and concluded that oxygen limitation reduces the sensitivity of SHR-CO<sub>2</sub> to temperature. On the other hand, two other studies examined the Q<sub>10</sub> of samples from a range of moisture conditions under oxic (or mostly oxic conditions in the case of water saturation without flushing the O<sub>2</sub> out of the sample and short incubation time). They both report an increase in temperature sensitivity with increasing moisture (<xref ref-type="bibr" rid="B49">Hardie et al., 2011</xref>; <xref ref-type="bibr" rid="B16">Byun et al., 2021</xref>).</p>
<p>From those conclusions on the individual role of water and oxygen on Q<sub>10</sub> values, it might seem as though a simple relationship exists as Q<sub>10</sub> increases with oxygen availability and with increasing water content. However, this does not translate into observed Q<sub>10</sub> values when both moisture and oxygen are varied simultaneously as discussed previously, including some studies suggesting that oxygen availability is more important (i.e., oxic drier samples have a higher temperature sensitivity or Q<sub>10</sub> than anoxic saturated samples) (<xref ref-type="bibr" rid="B56">Hogg et al., 1992</xref>; <xref ref-type="bibr" rid="B116">Szafranek-Nakonieczna and St&#xea;pniewska, 2014</xref>; <xref ref-type="bibr" rid="B111">Sj&#xf6;gersten et al., 2018</xref>) while <xref ref-type="bibr" rid="B63">Inglett et al. (2012)</xref> suggests that the opposite is true. Finally, the non-significant results obtained by <xref ref-type="bibr" rid="B128">Wang X. et al. (2010)</xref> suggest that the relative importance of both parameters might not be straightforward.</p>
<p>The cross-studies of intact tropical peat incubation SHR-CO<sub>2</sub> Q<sub>10</sub> data compiled here suggest that anoxic conditions lead to significantly higher temperature sensitivity (ANOVA, F &#x3d; 6.678, df &#x3d; 2, p &#x3c; 0.005) than oxic conditions (TukeyHSD p &#x3c; 0.01) or saturated oxic conditions (TukeyHSD, p &#x3c; 0.05). For the boreal and temperate peatlands groups, the anoxic Q<sub>10</sub> values are only significantly different to the oxic Q<sub>10</sub> values (boreal ANOVA, F &#x3d; 4.696, df &#x3d; 2, p &#x3c; 0.001, TukeyHSD, p &#x3c; 0.05, temperate ANOVA, F &#x3d; 3.077, df &#x3d; 2, p &#x3e; 0.05, TukeyHSD, p &#x3c; 0.05). At the global scale, there is no significant difference between the water-oxygen groups (ANOVA, F &#x3d; 1.805, df &#x3d; 2, p &#x3e; 0.05) (<xref ref-type="sec" rid="s12">Supplementary Figure S3.1</xref>). Under anoxic and flooded oxic conditions, the tropical group is significantly different to the boreal and temperate groups in terms of Q<sub>10</sub> values (anoxic ANOVA, F &#x3d; 7.146, df &#x3d; 2, p &#x3c; 0.001, TukeyHSD, p &#x3c; 0.005, flooded oxic ANOVA, F &#x3d; 39.68, df &#x3d; 2, p &#x3c; 0.001, TukeyHSD, p &#x3c; 0.005) (<xref ref-type="fig" rid="F9">Figure 9A</xref>). Under oxic incubations conditions, is only significantly different to the temperate group (ANOVA, F &#x3d; 19.26, df &#x3d; 2, p &#x3c; 0.001, TukeyHSD, p &#x3c; 0.005).</p>
<fig id="F9" position="float">
<label>FIGURE 9</label>
<caption>
<p>
<bold>(A)</bold> Q<sub>10</sub> estimates of peat SHR-CO<sub>2</sub> from incubation for each biome and moisture and oxygen conditions (boreal anoxic, oxic and flooded oxic n &#x3d; 163,286 and 14, temperate anoxic, oxic and flooded oxic n &#x3d; 57, 263, 9 and tropical anoxic, oxic and flooded oxic n &#x3d; 30, 40, 11). ANOVA across climate groups for the anoxic group (F &#x3d; 7.146, df &#x3d; 2, p &#x3c; 0.001), oxic group (F &#x3d; 19.26, df &#x3d; 2, p &#x3c; 0.001) and flooded oxic (F &#x3d; 19.26, df &#x3d; 2, p &#x3c; 0.001). Tukey HSD letters indicate significant differences p &#x3c; 0.05 for each moisture-oxygen group. <bold>(B)</bold> Resulting reaction rate ratio for the corresponding range of Q<sub>10</sub> for 10&#xb0;C and 20&#xb0;C base temperatures. A lower base temperature results in a larger range of reaction rates at high temperatures.</p>
</caption>
<graphic xlink:href="fgeoc-03-1492386-g009.tif"/>
</fig>
<p>The multivariate model of Q<sub>10</sub> with latitude (degree decimal), moisture and oxygen condition and an interaction term is significant (p &#x3c; 0.005) but the relationship is weak (R<sup>2</sup>
<sub>adjusted</sub> &#x3d; 0.01529) (<xref ref-type="sec" rid="s12">Supplementary Figure S3.2</xref>). This model also does not significantly improve model fit compared to the simple linear model with only latitude (see <xref ref-type="sec" rid="s3-1">Section 3.1</xref>) (p &#x3e; 0.05).</p>
<p>The oxic group includes a wide range of moisture conditions. Therefore, the subset of data associated with a moisture content as %WFPS was analysed further. There is no significant linear or polynomial relationship between the water-filled-pore-space and Q<sub>10</sub> (<xref ref-type="fig" rid="F10">Figure 10</xref>) across oxygen-availability conditions (df &#x3d; 246, F &#x3d; 1.706, p &#x3e; 0.05and df &#x3d; 245, F &#x3d; 0.856, p &#x3e; 0.05) nor in the oxic subset.</p>
<fig id="F10" position="float">
<label>FIGURE 10</label>
<caption>
<p>Q<sub>10</sub> estimates for global peatlands against moisture values, colours correspond to oxygen availability. Here we present a subset of observations with known water-filled pore space. The horizontal reference line is the median Q<sub>10</sub> (2.04).</p>
</caption>
<graphic xlink:href="fgeoc-03-1492386-g010.tif"/>
</fig>
<p>No clear significant relationship between Q<sub>10</sub> and moisture was observed in our database which suggests that a constant Q<sub>10</sub> of about 2 remains the most parsimonious option. If there is a relationship as suggested by some individual studies in the literature, it might be hidden in the noise of the database resulting from the lack of standardised incubation set-up and measurements and the unclear relative importance of the influence of moisture only vs. oxygen-availability.</p>
</sec>
<sec id="s6-2">
<title>6.2 Quality, temperature and moisture</title>
<p>According to kinetic theory, temperature sensitivity increases with organic matter recalcitrance as recalcitrant organic matter decomposition requires higher activation energies (<xref ref-type="bibr" rid="B35">Fierer et al., 2005</xref>; <xref ref-type="bibr" rid="B127">Wang Q. et al., 2019</xref>). This relationship between SOM decomposability and the sensitivity of its decomposition to temperature is also described as the carbon quality-temperature hypothesis (<xref ref-type="bibr" rid="B127">Wang Q. et al., 2019</xref>). Globally, decomposition of labile SOC has a significantly lower temperature sensitivity than decomposition of the recalcitrant fraction (<xref ref-type="bibr" rid="B26">Conant et al., 2011</xref>; <xref ref-type="bibr" rid="B127">Wang Q. et al., 2019</xref>). However, when substrate availability is limited, experiments show mixed results, with experiments that minimize the influence of substrate availability being consistent with kinetic theory (<xref ref-type="bibr" rid="B26">Conant et al., 2011</xref>). The temperature sensitivity of soil organic carbon decomposition is a multi-component problem including potentially counteracting interactions (<xref ref-type="bibr" rid="B26">Conant et al., 2011</xref>). Therefore, the debate needs to be centred on how temperature affects the various mechanisms controlling the resistance of SOM including both quality and physico-chemical protection (adsorption/desorption and occlusion in aggregates) (<xref ref-type="bibr" rid="B26">Conant et al., 2011</xref>). Further investigation on the processes controlling substrate availability and how they respond to temperature is needed. Quality also interacts with other variables and temperature sensitivity may have different controlling factors between labile pools (nitrogen) and recalcitrant pools (soil organic carbon) (<xref ref-type="bibr" rid="B127">Wang Q. et al., 2019</xref>).</p>
<p>Compared to mineral soils, substrate availability in carbon-rich peat soils is less likely to be important especially for shallower samples, although a large proportion of the carbon may be recalcitrant at all depths. However, substrate availability and quality are not commonly reported or investigated in peat SHR-CO<sub>2</sub> incubation studies. Substrate availability due to adsorption and desorption should not have an important effect in peat except maybe if the peat is shallow and in contact with clay, or rich in iron or other metals. The importance of SOM protection via occlusion in aggregates in peat remains to be explored.</p>
<p>Some peatlands studies do not observe any interaction between decomposability (using quality or depth) and moisture on SHR-CO<sub>2</sub> (<xref ref-type="bibr" rid="B63">Inglett et al., 2012</xref>; <xref ref-type="bibr" rid="B116">Szafranek-Nakonieczna and St&#xea;pniewska, 2014</xref>). However, others report a significant interaction (based on sample depth) (<xref ref-type="bibr" rid="B56">Hogg et al., 1992</xref>; <xref ref-type="bibr" rid="B128">Wang, X. et al., 2010</xref>; <xref ref-type="bibr" rid="B58">Hoyos-Santillan et al., 2016</xref>; <xref ref-type="bibr" rid="B81">Liu L. et al., 2016</xref>; <xref ref-type="bibr" rid="B76">Li Q. et al., 2021</xref>; <xref ref-type="bibr" rid="B80">Liu L. et al., 2022</xref>). For instance, CO<sub>2</sub> fluxes from peat samples from Panama significantly decreased with sample depth in oxic conditions but differences were insignificant in anoxic incubations (<xref ref-type="bibr" rid="B58">Hoyos-Santillan et al., 2016</xref>). <xref ref-type="bibr" rid="B56">Hogg et al. (1992)</xref>, also observed that CO<sub>2</sub> fluxes decrease with quality (sample depth) in all moisture treatments but the decrease relative to the surface sample was larger in drained conditions for some temperate peat samples.</p>
<p>While for temperature sensitivity in oxic incubations, lower quality (as evidenced by indexes such as B), larger recalcitrant pool size, deeper or older peat have all been suggested to be linked to higher temperature sensitivity in peatlands (<xref ref-type="bibr" rid="B68">Koch et al., 2007</xref>; <xref ref-type="bibr" rid="B49">Hardie et al., 2011</xref>; <xref ref-type="bibr" rid="B63">Inglett et al., 2012</xref>; <xref ref-type="bibr" rid="B52">Hilasvuori et al., 2013</xref>; <xref ref-type="bibr" rid="B76">Li Q. et al., 2021</xref>). However, <xref ref-type="bibr" rid="B14">Brady (1997)</xref> reports a higher temperature sensitivity in near-surface peat. <xref ref-type="bibr" rid="B63">Inglett&#x2019;s et al. (2012)</xref> reported that Lignin Cellulose Index (LCI) was negatively correlated with Q<sub>10</sub> values. <xref ref-type="bibr" rid="B34">Duval and Radu (2018)</xref> also observed a quadratic concave relationship between LCI and Q<sub>10,</sub> while other studies suggest that the interaction with decomposability (based on glucose addition and chemistry of the organic matter fraction) not being significant in controlling temperature sensitivity (<xref ref-type="bibr" rid="B139">Yavitt et al., 2000</xref>; <xref ref-type="bibr" rid="B40">Girkin et al., 2020b</xref>).</p>
<p>Under anoxic conditions, multiple studies have reported that the interaction between decomposability (estimated using LCI, depth, age, quality and addition of glucose) and Q<sub>10</sub> is insignificant (<xref ref-type="bibr" rid="B139">Yavitt et al., 2000</xref>; <xref ref-type="bibr" rid="B49">Hardie et al., 2011</xref>; <xref ref-type="bibr" rid="B63">Inglett et al., 2012</xref>; <xref ref-type="bibr" rid="B140">Ye et al., 2016</xref>; <xref ref-type="bibr" rid="B76">Li Q. et al., 2021</xref>). However, <xref ref-type="bibr" rid="B109">Sihi et al. (2016)</xref>, <xref ref-type="bibr" rid="B108">Sihi et al. (2018)</xref> do report a higher Q<sub>10</sub> for older and lower quality (B) samples in anoxic conditions, while <xref ref-type="bibr" rid="B126">Wang, H. et al. (2023)</xref> similarly observed higher Q<sub>10</sub> values in deeper layers. However, Q<sub>10</sub> and B values from <xref ref-type="bibr" rid="B38">Gallego-Sala (2008)</xref> suggest the opposite and <xref ref-type="bibr" rid="B34">Duval and Radu (2018)</xref> also observed higher Q<sub>10</sub> values for samples with a larger cellulose fraction.</p>
<p>Due to the lack of a single decomposability metric used across the dataset, the evaluation of the interaction of decomposability with the other drivers of SHR-CO<sub>2</sub> is limited to depth as a surrogate. There is no significant linear relationship between sample depth and Q<sub>10</sub> in our database under anoxic conditions (df &#x3d; 248, F &#x3d; 3.391, p &#x3e; 0.05), saturated oxic conditions (df &#x3d; 32, F &#x3d; 0.135, p &#x3e; 0.05) and for all moisture conditions grouped together (df &#x3d; 871, F &#x3d; 2.699, p &#x3e; 0.05). However, there is a significant positive linear but very weak relationship under oxic conditions (df &#x3d; 587, F &#x3d; 24.94, p &#x3c; 0.001, R<sup>2</sup>
<sub>adjusted</sub> &#x3d; 0.04) (see <xref ref-type="sec" rid="s12">Supplementary Figure S3.3</xref>). This suggests kinetic theory could be applicable to peat under unsaturated oxic conditions, but it remains unclear under other moisture-oxygen treatments. Depth is also a useful indicator for decomposability for comparable sites but not a robust indicator when comparing diverse studies from across biomes and with methodological differences. Most of the samples in the database come from intact peatlands but some also come from disturbed peatlands. The difference between Q<sub>10</sub> estimates for drained, forested or cultivated peatlands and intact peatland was insignificant, but Q<sub>10</sub> estimates were much lower for the few samples of burnt peat (see <xref ref-type="sec" rid="s12">Supplementary Figure S3.4</xref>).</p>
</sec>
<sec id="s6-3">
<title>6.3 Key interaction terms</title>
<p>The interaction between peat moisture and temperature sensitivity remains unclear, especially when we are not able to tease apart the individual role of moisture itself and related oxygen availability. However, the literature suggests that oxygen limitation is associated with lower temperature sensitivity and that increased moisture (while maintaining oxic conditions) is associated with higher sensitivity. The comparison between anoxic, oxic, oxic and water-saturated incubation groups when combining Q<sub>10</sub> estimates from across studies does not support these conclusions and there is no significant relationship between Q<sub>10</sub> values and moisture (%WFPS subset). This highlights the limitations of the dataset, and the difficulty in detecting trends where many factors are at play and where noise due to methodological differences is high.</p>
<p>The existing literature does not present enough evidence for a consensus on the interaction effect of moisture and temperature with decomposability on SHR-CO<sub>2</sub>. According to kinetic theory and global studies of SOM, recalcitrance is associated with higher temperature sensitivity when substrate is not limiting. Some studies on peat soil, and across oxic and anoxic conditions, agree with this hypothesis but some studies do suggest the opposite or that the interaction is insignificant. We observed a significant but weak positive linear relationship between peat depth and Q<sub>10</sub> for unsaturated oxic incubations, but no evidence was found in the dataset to support the application of kinetic theory for peat soils under saturated or anoxic conditions. The lack of a widespread and comparable decomposability indicator among peat incubation studies and other methodological differences in the experiments also prevents us from reaching a conclusion for peatlands moisture-temperature-decomposability interactions at present.</p>
<sec id="s6-3-1">
<title>6.3.1 Current state of modelling</title>
<p>Few of the reviewed models include interactions of the main controls on SHR-CO<sub>2</sub>. In ecosys, the moisture modifier is also a function of soil temperature, increasing the influence of moisture on SHR-CO<sub>2</sub> under warmer temperatures. LPX-Bern uses a different SHR-CO<sub>2</sub> moisture modifier between the acrotelm and the catotelm. Then PEATBOG differentiate the temperature response of labile and recalcitrant using a higher Q<sub>10</sub> value for recalcitrant carbon. Finally, DigiBog has an anoxic and oxic Q<sub>10</sub> parameters, therefore potentially taking into account moisture-temperature interaction, although both parameters were set to the same value in the versions reviewed here (<xref ref-type="table" rid="T1">Table 1</xref>).</p>
</sec>
<sec id="s6-3-2">
<title>6.3.2 Next steps</title>
<p>Questions remain as few studies have explored the interaction between moisture and temperature for SHR-CO<sub>2</sub> in tropical peatlands. Existing literature for peatlands globally gives contrasting results with the majority of studies pointing toward an increased temperature sensitivity with moisture and oxygen availability. However, considering the absence of a consensus, a constant Q<sub>10</sub> across moisture and oxygen conditions remains a justifiable and parsimonious option for models, especially those at the global scale, as models applied to a single site may use available data for the site to capture interaction terms.</p>
<p>Similarly, the lack of comparable data to quantify a moisture-temperature-decomposability interaction prevents us from drawing a robust conclusion. Despite the relatively well supported kinetic theory explaining interaction terms for soil organic matter decomposition in non-peat soils, its applicability to peat decomposition is poorly quantified. Therefore, further work and a better understanding are required before adding more complexity to the models would be justified.</p>
</sec>
</sec>
</sec>
<sec sec-type="conclusion" id="s7">
<title>7 Conclusion</title>
<p>Representation of carbon cycling in tropical peatlands has been hindered by the lack of available data for model parametrisation. We therefore review the current state of knowledge of SHR-CO<sub>2</sub> in tropical peat soils and compiled the related available data. We identify three main controls on SHR-CO<sub>2</sub>: moisture, temperature and quality of substrate. We also discuss some of the interactions between these drivers. <xref ref-type="fig" rid="F11">Figure 11</xref> summarises the outcomes of our review and organises the drivers into one of three categories: a) satisfactory understanding, b) some understanding but data insufficient to constrain models and c) lack of understanding and/or data insufficient to be represented in models.</p>
<fig id="F11" position="float">
<label>FIGURE 11</label>
<caption>
<p>Summary diagram of the outcomes of our review of SHR-CO<sub>2</sub> for tropical peatlands. The moisture resting point and Q<sub>10</sub> are both unitless ratios. Green: satisfactory understanding of the processes and data to constrain models, Orange: some understanding of the processes but not enough experimental data to constrain models, Red: lack of or limited understanding of the processes and data to represent or constraint models.</p>
</caption>
<graphic xlink:href="fgeoc-03-1492386-g011.tif"/>
</fig>
<p>The effect of moisture is relatively well known for soils in general, but a knowledge gap remains for tropical peatlands, where more research is needed to better understand the shape of the relationship (<xref ref-type="fig" rid="F11">Figure 11</xref>). There are two main critical points in the relationship between moisture and SHR-CO<sub>2</sub> rates: the optimum moisture and the moisture resting point. First the optimum moisture was found to range between 25 and 95%WFPS. Secondly, the moisture resting point in anoxic conditions (median value: 0.105, range: 0.005&#x2013;0.290) is significantly lower than moisture resting point estimates that consider only the effect of water-saturation without oxygen limitation. Most models use a similar function shape, but they differ in their optimum moisture (and sometimes consider a plateau of optimum moisture conditions) and their resting point. Overall, model moisture functions are mostly within the envelope of experimental data. However, further work is needed to narrow down the optimum moisture range and to clarify if there is a relationship with peat properties as observed for other types of soils. Remaining variability for the moisture resting point is likely due to interaction with temperature conditions and decomposability.</p>
<p>In terms of temperature dependency of decomposition processes, there are many studies in mineral soil ecosystems, but less have focussed on tropical peatlands. Q<sub>10</sub> is a widely used metric to quantify and compare temperature sensitivity of SHR-CO<sub>2</sub> in a variety of peat soil types, and mostly ranges between 0.85 and 3.10 (outliers excluded) for tropical peatlands. This range of values is not significantly different from estimates for boreal and temperate peatlands (global median Q<sub>10</sub>: 2.04, range: 0.24 - 12.10) (<xref ref-type="fig" rid="F11">Figure 11</xref>). Correspondingly, the most widely used temperature function amongst the reviewed models is a Q<sub>10</sub> formulation. In addition, the majority of the temperature functions fall within the envelope from experimental data. Remaining variability amongst the data is likely due differences in moisture and decomposability between samples and method differences across studies included in the dataset. The Q<sub>10</sub> method has some limitations and is not based on a theoretical basis. Therefore, a move towards an Arrhenius type approach is advisable, but only possible if experimental studies report the necessary function parameters.</p>
<p>The lack of a widely applicable and unified decomposability metric limits general conclusions for tropical peatlands (<xref ref-type="fig" rid="F11">Figure 11</xref>). The various methods used in models mirror the various indexes used amongst empirical studies. This prevents us from improving its modelling at the pan-tropical scale.</p>
<p>Nutrient-limitation studies in tropical peatlands are rare and do not reach a consensus on how they influence SHR-CO<sub>2</sub>. However, available studies do agree that nutrients seem to be of lesser importance compared to moisture, temperature and decomposability effects on SHR-CO<sub>2</sub> (<xref ref-type="fig" rid="F11">Figure 11</xref>). Few models attempt to simulate nutrient cycling, and yet fewer include the interaction with the decomposer community. More empirical investigation is needed to quantify the relationship between nutrients and SHR-CO<sub>2</sub>. The relationship of decomposition and nutrients is further complicated by the interaction with soil micro-organism community. Therefore, the nutrients- SHR-CO<sub>2</sub> relationship should also be aimed to include the influence of the decomposer community.</p>
<p>Many unknowns remain about the key interactions between the drivers of SHR-CO<sub>2</sub> (<xref ref-type="fig" rid="F11">Figure 11</xref>). Therefore, simple assumptions such as a constant temperature sensitivity across moisture conditions, remain to date a justifiable and parsimonious approach. Future work should focus on improving our understanding of these processes and on providing more empirical data to investigate the applicability of kinetic theory under varying moisture-oxygen conditions before attempting to add more complexity into models.</p>
<p>Overall, we have been able to identify main knowledge gaps that we need to fill to improve modelling efforts. These include the optimum moisture range for tropical peatlands SHR-CO<sub>2</sub>, the applicability of kinetic theory to peat soils, the lack of a widely used and comparable decomposability metric, and overall, the lack of a standard methodological set up across peat incubation studies which complicates pan-tropical comparison.</p>
</sec>
</body>
<back>
<sec sec-type="author-contributions" id="s8">
<title>Author contributions</title>
<p>ED: Conceptualization, Data curation, Formal Analysis, Investigation, Visualization, Writing&#x2013;original draft, Writing&#x2013;review and editing. EB: Conceptualization, Supervision, Writing&#x2013;review and editing. SC: Supervision, Writing&#x2013;review and editing. JK: Writing&#x2013;review and editing. SS: Supervision, Writing&#x2013;review and editing. NS: Conceptualization, Writing&#x2013;review and editing. AG-S: Conceptualization, Supervision, Writing&#x2013;review and editing.</p>
</sec>
<sec sec-type="funding-information" id="s9">
<title>Funding</title>
<p>The author(s) declare that financial support was received for the research and/or publication of this article. This project has received funding from the European Research Council (ERC) under the European Unionandapos;s Horizon 2020 research and innovation programme (grant agreement No 865403). A.V. Gallego-Sala and N.D. Smith gratefully acknowledge funding from the Natural Environment Research Council: NE/V018299/1 Improving Modelling approaches to assess climate change-related Thresholds and Ecological Range Shifts in the Earth&#x2019;s Peatland ecosystems (MOTHERSHIP)).</p>
</sec>
<ack>
<p>We thank Eleanor Blythe for interesting discussions on the moisture resting point and its conceptualization.</p>
</ack>
<sec sec-type="COI-statement" id="s10">
<title>Conflict of interest</title>
<p>The authors declare that the research was conducted in the absence of any commercial or financial relationships that could be construed as a potential conflict of interest.</p>
</sec>
<sec sec-type="disclaimer" id="s11">
<title>Publisher&#x2019;s note</title>
<p>All claims expressed in this article are solely those of the authors and do not necessarily represent those of their affiliated organizations, or those of the publisher, the editors and the reviewers. Any product that may be evaluated in this article, or claim that may be made by its manufacturer, is not guaranteed or endorsed by the publisher.</p>
</sec>
<sec id="s12">
<title>Supplementary material</title>
<p>The Supplementary Material for this article can be found online at: <ext-link ext-link-type="uri" xlink:href="https://www.frontiersin.org/articles/10.3389/fgeoc.2025.1492386/full#supplementary-material">https://www.frontiersin.org/articles/10.3389/fgeoc.2025.1492386/full&#x23;supplementary-material</ext-link>
</p>
<supplementary-material xlink:href="DataSheet1.docx" id="SM1" mimetype="application/docx" xmlns:xlink="http://www.w3.org/1999/xlink"/>
</sec>
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