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<front>
<journal-meta>
<journal-id journal-id-type="publisher-id">Front. Water</journal-id>
<journal-title>Frontiers in Water</journal-title>
<abbrev-journal-title abbrev-type="pubmed">Front. Water</abbrev-journal-title>
<issn pub-type="epub">2624-9375</issn>
<publisher>
<publisher-name>Frontiers Media S.A.</publisher-name>
</publisher>
</journal-meta>
<article-meta>
<article-id pub-id-type="doi">10.3389/frwa.2025.1638541</article-id>
<article-categories>
<subj-group subj-group-type="heading">
<subject>Water</subject>
<subj-group>
<subject>Original Research</subject>
</subj-group>
</subj-group>
</article-categories>
<title-group>
<article-title>The scale of influence: how different drivers determine CO<sub>2</sub> production at event, daily, and seasonal scales</article-title>
</title-group>
<contrib-group>
<contrib contrib-type="author" corresp="yes">
<name>
<surname>Saccardi</surname>
<given-names>Brian E.</given-names>
</name>
<xref ref-type="aff" rid="aff1"><sup>1</sup></xref>
<xref ref-type="corresp" rid="c001"><sup>&#x002A;</sup></xref>
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<contrib contrib-type="author">
<name>
<surname>Dere</surname>
<given-names>Ashlee L.</given-names>
</name>
<xref ref-type="aff" rid="aff2"><sup>2</sup></xref>
<uri xlink:href="https://loop.frontiersin.org/people/437915/overview"/>
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<contrib contrib-type="author">
<name>
<surname>Goodwell</surname>
<given-names>Allison E.</given-names>
</name>
<xref ref-type="aff" rid="aff1"><sup>1</sup></xref>
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<contrib contrib-type="author">
<name>
<surname>Druhan</surname>
<given-names>Jennifer</given-names>
</name>
<xref ref-type="aff" rid="aff3"><sup>3</sup></xref>
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<contrib contrib-type="author">
<name>
<surname>Welp</surname>
<given-names>Lisa R.</given-names>
</name>
<xref ref-type="aff" rid="aff4"><sup>4</sup></xref>
<uri xlink:href="https://loop.frontiersin.org/people/1439205/overview"/>
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<contrib contrib-type="author">
<name>
<surname>Blair</surname>
<given-names>Neal E.</given-names>
</name>
<xref ref-type="aff" rid="aff5"><sup>5</sup></xref>
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<contrib contrib-type="author">
<name>
<surname>Bauer</surname>
<given-names>Erin</given-names>
</name>
<xref ref-type="aff" rid="aff6"><sup>6</sup></xref>
<role content-type="https://credit.niso.org/contributor-roles/writing-review-editing/"/>
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<contrib contrib-type="author">
<name>
<surname>Haken</surname>
<given-names>James</given-names>
</name>
<xref ref-type="aff" rid="aff6"><sup>6</sup></xref>
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<contrib contrib-type="author">
<name>
<surname>Jimenez-Castaneda</surname>
<given-names>Martha E.</given-names>
</name>
<xref ref-type="aff" rid="aff7"><sup>7</sup></xref>
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<contrib contrib-type="author">
<name>
<surname>Filley</surname>
<given-names>Timothy</given-names>
</name>
<xref ref-type="aff" rid="aff7"><sup>7</sup></xref>
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<contrib contrib-type="author">
<name>
<surname>Kumar</surname>
<given-names>Praveen</given-names>
</name>
<xref ref-type="aff" rid="aff1"><sup>1</sup></xref>
<xref ref-type="aff" rid="aff8"><sup>8</sup></xref>
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<aff id="aff1"><sup>1</sup><institution>Prairie Research Institute, University of Illinois at Urbana-Champaign</institution>, <addr-line>Champaign, IL</addr-line>, <country>United States</country></aff>
<aff id="aff2"><sup>2</sup><institution>Department of Geography/Geology, University of Nebraska Omaha</institution>, <addr-line>Omaha, NE</addr-line>, <country>United States</country></aff>
<aff id="aff3"><sup>3</sup><institution>Department of Earth Science and Environmental Change, University of Illinois at Urbana-Champaign</institution>, <addr-line>Champaign, IL</addr-line>, <country>United States</country></aff>
<aff id="aff4"><sup>4</sup><institution>Department of Earth, Atmospheric, and Planetary Sciences, Purdue University</institution>, <addr-line>West Lafayette, IN</addr-line>, <country>United States</country></aff>
<aff id="aff5"><sup>5</sup><institution>Department of Earth, Environmental, and Planetary Sciences, Northwestern University</institution>, <addr-line>Evanston, IL</addr-line>, <country>United States</country></aff>
<aff id="aff6"><sup>6</sup><institution>Illinois State Water Survey, University of Illinois at Urbana-Champaign</institution>, <addr-line>Champaign, IL</addr-line>, <country>United States</country></aff>
<aff id="aff7"><sup>7</sup><institution>Department of Geography and Environmental Sustainability, University of Oklahoma</institution>, <addr-line>Norman, OK</addr-line>, <country>United States</country></aff>
<aff id="aff8"><sup>8</sup><institution>Civil and Environmental Engineering, University of Illinois at Urbana-Champaign</institution>, <addr-line>Champaign, IL</addr-line>, <country>United States</country></aff>
<author-notes>
<fn fn-type="edited-by" id="fn0001">
<p>Edited by: <ext-link ext-link-type="uri" xlink:href="https://loop.frontiersin.org/people/568189/overview">Bhavna Arora</ext-link>, Berkeley Lab (DOE), United States</p>
</fn>
<fn fn-type="edited-by" id="fn0002">
<p>Reviewed by: <ext-link ext-link-type="uri" xlink:href="https://loop.frontiersin.org/people/2993499/overview">Devon Kerins</ext-link>, University College Dublin, Ireland</p>
<p><ext-link ext-link-type="uri" xlink:href="https://loop.frontiersin.org/people/3123353/overview">Kayalvizhi Sadayappan</ext-link>, The Pennsylvania State University (PSU), United States</p>
</fn>
<corresp id="c001">&#x002A;Correspondence: Brian E. Saccardi, <email>saccardi@illinois.edu</email></corresp>
</author-notes>
<pub-date pub-type="epub">
<day>24</day>
<month>10</month>
<year>2025</year>
</pub-date>
<pub-date pub-type="collection">
<year>2025</year>
</pub-date>
<volume>7</volume>
<elocation-id>1638541</elocation-id>
<history>
<date date-type="received">
<day>30</day>
<month>05</month>
<year>2025</year>
</date>
<date date-type="accepted">
<day>03</day>
<month>10</month>
<year>2025</year>
</date>
</history>
<permissions>
<copyright-statement>Copyright &#x00A9; 2025 Saccardi, Dere, Goodwell, Druhan, Welp, Blair, Bauer, Haken, Jimenez-Castaneda, Filley and Kumar.</copyright-statement>
<copyright-year>2025</copyright-year>
<copyright-holder>Saccardi, Dere, Goodwell, Druhan, Welp, Blair, Bauer, Haken, Jimenez-Castaneda, Filley and Kumar</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>Soil carbon is the largest active terrestrial reservoir in the carbon cycle, and potential feedbacks involving soil carbon play an important role in future climate change. Understanding how combinations of factors, such as vegetation, temperature, and soil moisture, affect soil carbon dioxide (CO<sub>2</sub>) production in various environments across sub-daily to seasonal timescales is essential to accurately predict climate impacts on the carbon cycle. Here we present a quantitative accounting of factors governing CO<sub>2</sub> production in agricultural and prairie soils, using high-resolution monitoring of below-ground soil CO<sub>2</sub> concentrations and estimates of soil respiration fluxes. We compare Soil CO<sub>2</sub> with Normalized Difference Vegetation Index (NDVI), soil temperature, radiation, and volumetric moisture content using correlations and regressions at a variety of sampling frequencies. We find that NDVI tends to predict soil CO<sub>2</sub> concentration and production more effectively than soil temperature at daily timescales. At the time scale of a rain event, rain frequently leads to rapid drops in CO<sub>2</sub> concentration due to soil CO<sub>2</sub> abiotically equilibrating with rain water followed by prolonged increases in inferred CO<sub>2</sub> production. This pattern was only visible due to the high resolution of the soil CO<sub>2</sub> concentration data. We also found that prairie soils, which host a greater diversity of plant species, have a higher rate of CO<sub>2</sub> production than agricultural soils under comparable climate drivers. Finally, we examine how the temporal resolution of soil CO<sub>2</sub> data affects the magnitude of environmental correlations. These findings highlight that seasonal environmental and vegetation conditions strongly influence local soil CO<sub>2</sub> responses.</p>
</abstract>
<kwd-group>
<kwd>soil CO<sub>2</sub></kwd>
<kwd>soil carbon</kwd>
<kwd>agricultural soils</kwd>
<kwd>prairie soils</kwd>
<kwd>critical zone</kwd>
</kwd-group>
<counts>
<fig-count count="10"/>
<table-count count="3"/>
<equation-count count="4"/>
<ref-count count="98"/>
<page-count count="18"/>
<word-count count="13094"/>
</counts>
<custom-meta-wrap>
<custom-meta>
<meta-name>section-at-acceptance</meta-name>
<meta-value>Water and Critical Zone</meta-value>
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</custom-meta-wrap>
</article-meta>
</front>
<body>
<sec sec-type="intro" id="sec1">
<title>Introduction</title>
<p>Soils are the largest active terrestrial pool of carbon (C), containing an estimated 2,500&#x2013;3,300 Pg total C globally, roughly five times the amount stored in the atmosphere (<xref ref-type="bibr" rid="ref10">Brevik, 2012</xref>; <xref ref-type="bibr" rid="ref12">Cavallaro et al., 2018</xref>). Much of this soil C is in the form of organic matter with mean residence times that range from days to thousands of years (mean organic matter age in the upper 1&#x202F;m is 4,830&#x202F;&#x00B1;&#x202F;1,730&#x202F;yr) (<xref ref-type="bibr" rid="ref21">Davidson et al., 2006</xref>; <xref ref-type="bibr" rid="ref78">Shi et al., 2020</xref>). However, these residence times are expected to shorten as the climate warms (<xref ref-type="bibr" rid="ref15">Chen et al., 2013</xref>). The range in residence times of soil organic carbon primarily depends on the rate of in-situ production and burial of organic matter and soil respiration rates. Currently, it is estimated that soils emit 54&#x2013;95 Pg C/yr (<xref ref-type="bibr" rid="ref34">Hashimoto, 2012</xref>) into the atmosphere; for comparison, the net terrestrial sink removes 0.5&#x2013;3.9 Pg C/yr., or roughly 30% of anthropogenic emissions (<xref ref-type="bibr" rid="ref77">Schimel et al., 2001</xref>; <xref ref-type="bibr" rid="ref58">Luo et al., 2003</xref>; <xref ref-type="bibr" rid="ref29">Friedlingstein et al., 2022</xref>, <xref ref-type="bibr" rid="ref30">2025</xref>). Therefore, soils have the potential to mitigate anthropogenic C emissions or act as a source of C to the atmosphere. In this study, we focus on how CO<sub>2</sub> is produced within soil profiles in agricultural and prairie landscapes based on in-situ observations.</p>
<p>Soil carbon is produced from plant organic matter (<xref ref-type="bibr" rid="ref19">Cotrufo et al., 2019</xref>) and lost through respiration and erosion (<xref ref-type="bibr" rid="ref10">Brevik, 2012</xref>). While erosion removes organic carbon from its initial location through the movement of wind or water, these processes do not directly convert that carbon back to CO<sub>2</sub>. The respiration of organic carbon produces CO<sub>2</sub> that may be lost to the atmosphere either directly or through lateral transport in inland waters (<xref ref-type="bibr" rid="ref17">Cole et al., 2007</xref>; <xref ref-type="bibr" rid="ref76">Saccardi and Winnick, 2021</xref>). This respiration is from either microbial metabolism or released directly as CO<sub>2</sub> from plant roots. While microbial respiration is frequently identified as the primary driver of soil CO<sub>2</sub> production (<xref ref-type="bibr" rid="ref39">Jansson and Hofmockel, 2020</xref>; <xref ref-type="bibr" rid="ref1">Adekanmbi et al., 2022</xref>), plants contribute to soil respiration both directly through root respiration and indirectly through the release of organic molecule exudates which are respired by microbes (<xref ref-type="bibr" rid="ref43">Keiluweit et al., 2015</xref>). Soil CO<sub>2</sub> production from a combination of root respiration and respiration due to exudates (plant-mediated microbial respiration) has been found to contribute up to a quarter of soil respiration in agriculture and prairie lands (<xref ref-type="bibr" rid="ref63">Nichols et al., 2016</xref>). Meanwhile, other studies have found that direct root respiration accounts for 11&#x2013;62% and microbial respiration, including the respiration of exudates, for the other 38&#x2013;89% of the total soil respiration (<xref ref-type="bibr" rid="ref46">Kuzyakov and Larionova, 2006</xref>). Regardless of the source of soil CO<sub>2</sub>, the sensitivity of soil respiration to environmental conditions is of primary concern when looking to understand feedbacks that may arise from climate and land use change.</p>
<p>Soil incubation experiments are commonly used to determine how temperature, moisture, or other environmental variables affect microbial respiration (<xref ref-type="bibr" rid="ref80">Sponseller, 2007</xref>; <xref ref-type="bibr" rid="ref1">Adekanmbi et al., 2022</xref>). These studies often find strong correlations between temperature, volumetric water content (VWC), or nutrients and soil organic matter to CO<sub>2</sub> production, which allow the formulation of mathematical models as a function of these factors (<xref ref-type="bibr" rid="ref27">Fang and Moncrieff, 2001</xref>; <xref ref-type="bibr" rid="ref40">Jian et al., 2020</xref>). Incubation-based models have successfully represented global patterns of soil carbon stocks driven by temperature relationships (<xref ref-type="bibr" rid="ref40">Jian et al., 2020</xref>). An alternative approach is the chamber-based measurement, which directly measures CO<sub>2</sub> fluxes at the surface from field studies (<xref ref-type="bibr" rid="ref35">Heinemeyer and McNamara, 2011</xref>). Chamber-based measurements have been used to show that soil respiration increases with rising temperatures (<xref ref-type="bibr" rid="ref8">Bond-Lamberty and Thomson, 2010</xref>). However, there is still debate as to whether these same relationships can be used to predict future changes in soil CO<sub>2</sub> production and, therefore, changes in carbon stocks (<xref ref-type="bibr" rid="ref18">Conant et al., 2011</xref>; <xref ref-type="bibr" rid="ref79">Shi et al., 2018</xref>; <xref ref-type="bibr" rid="ref86">Tao et al., 2023</xref>; <xref ref-type="bibr" rid="ref93">Xianjin et al., 2024</xref>). Particularly, there are many factors other than temperature that may result in emergent behaviors not seen in lab incubation or field chamber studies (<xref ref-type="bibr" rid="ref91">Wang et al., 2025</xref>). For example, many factors influence CO<sub>2</sub> concentration, including the rate of soil respiration, the diffusion of CO<sub>2</sub> to the atmosphere, and the dissolution and evasion of CO<sub>2</sub> between the soil, water, and air (<xref ref-type="bibr" rid="ref65">Oh et al., 2005</xref>; <xref ref-type="bibr" rid="ref31">Gallagher and Breecker, 2020</xref>). The rate of diffusion depends on several factors including the CO<sub>2</sub> gradient between the soil and atmosphere as well as the air-filled porosity, and the water filled porosity. Diffusivity in air is four orders of magnitude faster than in water (<xref ref-type="bibr" rid="ref88">Unver and Himmelblau, 1964</xref>; <xref ref-type="bibr" rid="ref26">Ellis and Holsen, 1969</xref>). The CO<sub>2</sub> gradient between the soil gas and the atmosphere or soil water drives which direction CO<sub>2</sub> will diffuse. These gradients change through time as CO<sub>2</sub> production increases or with changing soil conditions allowing the soil water to act as a source or sink depending on pH and temperature. Furthermore, soil conditions can cause buildup of CO<sub>2</sub> in deeper layers due to diffusive barriers. These barriers include changes to the volumetric water content (VWC) which represent a change in the proportion of air and water filled pore space and therefore the rate of diffusion. Due to these factors, observed VWC is often used in diffusion models to predict variable rates of diffusion (<xref ref-type="bibr" rid="ref11">Campbell, 1985</xref>; <xref ref-type="bibr" rid="ref81">Steefel et al., 2015</xref>; <xref ref-type="bibr" rid="ref92">Winnick et al., 2020</xref>). The soil respiration rate plays a major role in observed concentrations, as soil pCO<sub>2</sub> results from the balance of inputs and losses.</p>
<p>Many other factors alter the rate of respiration and patterns of soil CO<sub>2</sub>, including soil carbon protection mechanisms, carbon inputs, mineral weathering, and advection or diffusion processes (<xref ref-type="bibr" rid="ref23">DeForest et al., 2006</xref>; <xref ref-type="bibr" rid="ref90">Vyn et al., 2013</xref>; <xref ref-type="bibr" rid="ref56">Liu et al., 2019</xref>; <xref ref-type="bibr" rid="ref31">Gallagher and Breecker, 2020</xref>; <xref ref-type="bibr" rid="ref92">Winnick et al., 2020</xref>; <xref ref-type="bibr" rid="ref74">Roque-Malo et al., 2022</xref>). The multitude of processes that alter soil CO<sub>2</sub> production and subsequent interactions likely leads to emergent behaviors that are not easily predicted by lab incubation experiments. Some studies have sought to determine the role of plants, temperature, and moisture on soil carbon stability based on long-term soil warming and CO<sub>2</sub> enrichment experiments. These warming experiments have been conducted across many environments and in prairies have found that temperature effects can increase the C/N ratio of the organic carbon in soils (<xref ref-type="bibr" rid="ref94">Xu et al., 2012</xref>; <xref ref-type="bibr" rid="ref51">Li X. et al., 2023</xref>). Studies focused on agricultural practices and forests found that greater organic carbon inputs from plants increased soil respiration (<xref ref-type="bibr" rid="ref90">Vyn et al., 2013</xref>; <xref ref-type="bibr" rid="ref53">Li et al., 2022</xref>). Furthermore, abiotic factors such as calcite dissolution and precipitation can cause rapid and often large under or overestimates in soil CO<sub>2</sub> production as carbon is stored and then rereleased during wetting and drying events; often these times are missed in sampling or not represented in models (<xref ref-type="bibr" rid="ref31">Gallagher and Breecker, 2020</xref>).</p>
<p>Despite these findings, there is still much that is unknown about how soil carbon responds to our changing environment, including how compounding factors such as drought or intensive land management alter soil carbon respiration. This is particularly important as intensively managed landscapes increased rapidly from the mid-1800s to the mid-1900s replacing as much as 80% of the native grasslands in Illinois (<xref ref-type="bibr" rid="ref54">Li N. et al., 2023</xref>) and at least 40% nationally (<xref ref-type="bibr" rid="ref49">Lark, 2020</xref>) making prairie lands one of the most endangered ecosystems. Furthermore, conversion to agricultural land was often accompanied by a drop in soil organic carbon stocks compared with prairie lands, losing 12.8&#x202F;Mg C ha<sup>&#x2212;1</sup> between 1845 and 2012 (<xref ref-type="bibr" rid="ref54">Li N. et al., 2023</xref>). With the prevalence of land use change and its apparent alterations to the carbon cycle it is important that we understand which processes alter fluxes within these environments.</p>
<p>In-situ soil CO<sub>2</sub> monitoring has been employed to understand the production of CO<sub>2</sub> across a variety of environmental conditions; however, many of these experiments rely on infrequent sampling, missing event scale responses, and day-night patterns (<xref ref-type="bibr" rid="ref37">Hirano et al., 2003</xref>; <xref ref-type="bibr" rid="ref84">Tang et al., 2003</xref>; <xref ref-type="bibr" rid="ref20">Cueva et al., 2017</xref>; <xref ref-type="bibr" rid="ref41">Jian et al., 2018</xref>; <xref ref-type="bibr" rid="ref92">Winnick et al., 2020</xref>; <xref ref-type="bibr" rid="ref96">Zhu et al., 2020</xref>; <xref ref-type="bibr" rid="ref3">Anjileli et al., 2021</xref>; <xref ref-type="bibr" rid="ref7">Bond-Lamberty et al., 2024</xref>). The omission of short (hourly) time scales leads to uncertainty within our current understanding of soil CO<sub>2</sub> production and the factors that play essential roles at seasonal, daily, and event scales. In this study, we use an in-situ measurement technique within agricultural and prairie soils at four sites in the Midwest USA. We consider high-frequency temporal changes in CO<sub>2</sub> concentration and production to address the following questions: <italic>Does the knowledge of vegetation state enhance the relationship between CO<sub>2</sub> and other drivers? Do</italic> agricultural or prairie systems have higher CO<sub>2</sub> production rates? To address these, we first detect correlations between potential autotrophic drivers of respiration to the seasonal and daily patterns of soil CO<sub>2</sub> concentration and production. Next, we investigate how rain events influence soil CO<sub>2</sub> at hourly timescales, and compare how the aforementioned factors differ between agriculture and restored prairie environments.</p>
</sec>
<sec sec-type="methods" id="sec2">
<title>Methods</title>
<sec id="sec3">
<title>Site description</title>
<p>The four sites were chosen to represent a mixture of land use and geologic history, with Illinois and Nebraska each having paired agricultural and restored prairie sites on similar soils. These sites are part of the Critical Interface Network (CINet), which examines the role of hydrological, biological, ecological, geological, and chemical processes within the critical zone of these intensively managed landscapes (<xref ref-type="bibr" rid="ref44">Kumar et al., 2023</xref>). The Illinois sites (Illinois, USA) are both located in the Upper Sangamon River Basin (<xref ref-type="fig" rid="fig1">Figure 1</xref>), and include ILAG (Illinois Agriculture), which is an active farm with an annual crop rotation of corn and soybean, and ILPR (Illinois prairie), which is a tallgrass prairie that was restored in 2007. The Illinois soils have a similar average bulk density of 1.47&#x202F;&#x00B1;&#x202F;0.20&#x202F;g&#x202F;cm<sup>&#x2212;3</sup> in agricultural (ILAG) and 1.47&#x202F;&#x00B1;&#x202F;0.22&#x202F;g&#x202F;cm<sup>&#x2212;3</sup> in prairie (ILPR). However, the ILAG soils have a higher average bulk density near the surface at 1.31&#x202F;&#x00B1;&#x202F;0.10 gm cm<sup>&#x2212;3</sup> in the 0&#x2013;20&#x202F;cm layer, compared to the ILPR at 1.14&#x202F;&#x00B1;&#x202F;0.20 gm cm<sup>&#x2212;3</sup> in the 0&#x2013;20&#x202F;cm layer. ILAG is less dense at depth with a bulk density of 1.44&#x202F;&#x00B1;&#x202F;0.05 gm cm<sup>&#x2212;3</sup> in the 60&#x2013;110&#x202F;cm layer. In contrast, ILPR soils have an average bulk density of 1.65&#x202F;&#x00B1;&#x202F;0.00 gm cm<sup>&#x2212;3</sup> in the 60&#x2013;110&#x202F;cm layer. The ILAG soil is Sable silty clay loam whereas the ILPR soil is Elliott silty clay loam (USDA) and parent material is loess over glacial till. The average annual air temperature between 1995 and 2023 was 11.5&#x202F;&#x00B0;C, and the sites receive an average of 101.9&#x202F;cm&#x202F;yr.<sup>&#x2212;1</sup> of precipitation and are not irrigated (<xref ref-type="bibr" rid="ref60">MRCC, 2024</xref>). However, 2022 and 2023 were both drought years, receiving only 88.8 and 84.0&#x202F;cm&#x202F;yr.<sup>&#x2212;1</sup>, respectively (<xref ref-type="bibr" rid="ref62">NDMC, 2024</xref>; <xref ref-type="bibr" rid="ref89">USDA, n.d.</xref>; <xref ref-type="bibr" rid="ref64">NOAA, n.d.</xref>). Both the IL sites have slopes less than 0.03&#x202F;m&#x202F;m<sup>&#x2212;1</sup>, and the landscape is generally uniform in this regard (<xref ref-type="bibr" rid="ref66">OpenStreetMap Contributors, 2023</xref>). Both ILPR site is 365&#x202F;m from the Sangamon River, whereas the ILAG site is tile drained at 1&#x202F;m to the adjacent drainage ditch (<xref ref-type="bibr" rid="ref72">QGIS, 2023</xref>).</p>
<fig position="float" id="fig1">
<label>Figure 1</label>
<caption>
<p>The management induced rooting zone (MIRZ) sites which include an agricultural (AG) and prairie (PR) sites in Illinois (IL) and two sites in Nebraska (NE).</p>
</caption>
<graphic xlink:href="frwa-07-1638541-g001.tif" mimetype="image" mime-subtype="tiff">
<alt-text content-type="machine-generated">Map showing the location of four sites marked by red diamonds across the United States: NEAG, ILPR, ILAG, and NEPR. The upper left map displays the sites' overall geographic distribution. Four close-up maps show detailed locations: NEAG and NEPR in one, and ILPR and ILAG in the others, with corresponding scales ranging from 0.2 to 10 kilometers.</alt-text>
</graphic>
</fig>
<p>The Nebraska sites (Nebraska, USA) are both within the Glacier Creek Preserve (<xref ref-type="fig" rid="fig1">Figure 1</xref>), a 4&#x202F;km<sup>2</sup> watershed with a mix of restored prairie and agricultural fields. The research stations are at the top of adjacent knolls, and both drain to Glacier Creek, which has a median discharge of &#x003C; 0.01&#x202F;m<sup>3</sup> sec<sup>&#x2212;1</sup>. The slopes of the NE sites are similar on top of the knolls (&#x003C; 0.05&#x202F;m&#x202F;m<sup>&#x2212;1</sup>), reaching a max slope of 15% on the hillslope between the sites and the creek (<xref ref-type="bibr" rid="ref24">Dere et al., 2019</xref>). The soils are Contrary-Monona-Ida Complex (<xref ref-type="bibr" rid="ref75">Ryan et al., 2018</xref>), and more specifically, the agricultural soils are Contrary silt loam, and the prairie soils are Monona silt loam. The parent material of the soils is loess, and the Ag soils have a bulk density of 1.11&#x202F;&#x00B1;&#x202F;0.09&#x202F;g&#x202F;cm<sup>&#x2212;3</sup> versus 1.14&#x202F;&#x00B1;&#x202F;0.05&#x202F;g&#x202F;cm<sup>&#x2212;3</sup> of the prairie soils with both sites having denser soils closer to the surface. The sites receive 78&#x202F;cm&#x202F;yr.<sup>&#x2212;1</sup> of precipitation with an average annual temperature of 10&#x202F;&#x00B0;C (<xref ref-type="bibr" rid="ref24">Dere et al., 2019</xref>). The NEPR (Nebraska prairie) site was restored in 1970 after a century of agriculture and is maintained with periodic (3-year) burns, (<xref ref-type="bibr" rid="ref24">Dere et al., 2019</xref>) with the last burn in 2024. NEAG (Nebraska Agriculture) has been in annual corn-soybean rotation for the duration of the study and is not tile drained nor irrigated, and has a relatively deep water Table (20&#x202F;m). ILAG and NEAG were both planted with corn in 2022 and soy in 2023.</p>
</sec>
<sec id="sec4">
<title>Sensors and monitoring</title>
<p>Monitoring was conducted with a sensor array installed within the soil profiles measuring hourly soil gases, volumetric water content (VWC), and temperature. Supporting atmospheric sensor data were collected at 1 min to hourly time intervals. In addition to the sensors, manual sampling was conducted on a two-week basis for both soil and atmospheric data. The installation was completed by May 2022 at all sites, with additional atmospheric data available from previous research initiatives. The data used in this work is from May 2022 through Sep 2023 for ILAG, Aug 2021 to Sep 2023 for ILPR, (soil gases operational May 2022), and Jan 2022 to Nov 2023 for NEPR and NEAG (VWC operational May 2022, soil gases operational Sep 2022).</p>
<p>To minimize soil disturbance, the sensor arrays were installed into intact soil at depths of 20, 60, 110, and 180&#x202F;cm. Soil pits approximately two meters deep, three meters long, and 1 m wide, were excavated using a backhoe or by hand (NEPR), allowing for horizontal installation of sensors into the pit wall at the desired depths. Using a hand auger, holes were cut into the side of the profile at an 45<sup>o</sup> angle allowing PVC pipes to be inserted so the sensors were stacked vertically as seen in the diagram presented in <xref ref-type="fig" rid="fig2">Figure 2</xref>. Additionally, paired temperature and moisture sensors were directly inserted into the soil pit wall at each depth and the cables were sleeved with a protective flexible conduit. Finally, gas wells were installed horizontally into the soil pit wall to allow for manual sampling of gases for laboratory measurements of concentrations and stable isotope values (<xref ref-type="bibr" rid="ref28">Frantal, 2024</xref>) using methods modified from <xref ref-type="bibr" rid="ref9001">Brecheisen et al. (2019)</xref>. However, data from these manual samplings are not included in this study. After installation of all sensors was completed, the soil pit was backfilled replacing the removed soil from each depth in the original positions. This method of installing soil sensor arrays, while intensive in its initial construction, offers substantial benefits, including the ability to easily remove sensors installed in the PVC pipes for calibration, maintenance, and replacement which allows for shorter data gaps and reduced maintenance costs. A detailed installation guide, parts list, and data logger code is available in <xref ref-type="supplementary-material" rid="SM1">Supplementary materials</xref>.</p>
<fig position="float" id="fig2">
<label>Figure 2</label>
<caption>
<p>Illustration of soil sensor layout. O<sub>2</sub>, CO<sub>2</sub>, and soil moisture/temperature sensors are labeled as well as the gas wells for manual gas sampling and porewater lysimeters which were installed in a similar fashion at all sites.</p>
</caption>
<graphic xlink:href="frwa-07-1638541-g002.tif" mimetype="image" mime-subtype="tiff">
<alt-text content-type="machine-generated">Diagram illustrating soil sensor setup with different measurement instruments. O&#x2082; sensors in yellow and CO&#x2082; sensors in orange are angled on the left. Blue squares show volumetric water content and temperature sensors horizontally placed. White circles represent gas sampling wells. Lysimeters are depicted as vertical lines on the right. Depths marked at 20 cm, 60 cm, 110 cm, and 180 cm.</alt-text>
</graphic>
</fig>
<p>Each depth hosts a CO<sub>2</sub>, O<sub>2,</sub> and volumetric water content (VWC) and temperature sensor, and each sensor has a built-in temperature probe for parameter corrections. The continuous CO<sub>2</sub> measurements were taken with an Eosence eosGP sensor with a measurement range of 0&#x2013;20% and an accuracy of 3.5%. CO<sub>2</sub> data with known sensor errors were removed manually if a problem in the field was noted such as damage to equipment. Some data display characteristics of a sensor construction design flaw which resulted in rapid drops of the measured CO<sub>2</sub> values primarily during the first winter (2022), and these data were removed from the 180&#x202F;cm data at NEAG and NEPR using an automated detection method. Specifically, we removed points that showed an average hourly drop of greater than 67&#x202F;ppm&#x202F;hr.<sup>&#x2212;1</sup> in NEAG and 450&#x202F;ppm&#x202F;hr.<sup>&#x2212;1</sup> in NEPR over a 12&#x202F;h period. The oxygen sensors are Apogee SO-110 with a range of 0&#x2013;100% and accuracy of better than 1%. Both the O<sub>2</sub> and CO<sub>2</sub> sensors were inserted into an airtight 63&#x202F;mm OD PVC pipe perforated at the depth of measurement with the CO<sub>2</sub> sensor on the bottom and the O<sub>2</sub> sensor on top. Campbell Scientific CS655 VWC/temperature sensors were installed directly into the side of the soil pit to record both VWC and soil temperature. The VWC was corrected for temperature based on the manufacturers default equation. Atmospheric sensors were installed next to the soil pit and included a Campbell Scientific EE181-L air temperature sensor, Campbell Scientific 03002-L wind speed and direction sensors, and Campbell Scientific TE525WS precipitation sensor. The observed atmospheric temperatures at the weather stations had values outside of the regional recorded range and were scaled to the maximum and minimum temperatures recorded over the measurement years for the local county using National Weather Service data (<xref ref-type="bibr" rid="ref61">National Weather Service, n.d.</xref>). Additionally, the Nebraska sites had Campbell Scientific SP230 solar radiation sensors, which measure 360 to 1,120&#x202F;nm wavelengths, whereas the solar radiation monitoring for the Illinois sites used a Kipp and Zonen CNR4 Pyranometer shortwave radiation sensor (300&#x2013;2,800&#x202F;nm) at the Goose Creek Eddy Covariance Flux Tower, located 16.3 and 23.5&#x202F;km from ILAG and ILPR, respectively, (<xref ref-type="bibr" rid="ref36">Hernandez Rodriguez et al., 2023</xref>).</p>
</sec>
<sec id="sec5">
<title>NDVI</title>
<p>The Normalized Difference Vegetation Index (NDVI) was calculated using Planet Lab data (<xref ref-type="bibr" rid="ref9002">Planet Team, 2022</xref>). The planet lab images have a 3&#x202F;day return period with occasional gaps due to cloud cover. To quantify NDVI an area adjacent to the sensor array, but not including the sensor array, was chosen to represent the field conditions. The image date, location, and NDVI interpolated to a 1&#x202F;day resolution were then exported and used to interpolate NDVI at a 1&#x202F;h timescale.</p>
</sec>
<sec id="sec6">
<title>Soil CO<sub>2</sub> production model</title>
<p>We used a previously published model (<xref ref-type="bibr" rid="ref13">Cerling, 1984</xref>; <xref ref-type="bibr" rid="ref92">Winnick et al., 2020</xref>) to simulate the 1-D production of CO<sub>2</sub> within each soil profile (<xref ref-type="disp-formula" rid="E1">Equation 1</xref>). This model is based on Fick&#x2019;s second law of diffusion and has been used in many past studies (<xref ref-type="bibr" rid="ref22">Davidson and Trumbore, 1995</xref>; <xref ref-type="bibr" rid="ref85">Tang et al., 2005</xref>; <xref ref-type="bibr" rid="ref21">Davidson et al., 2006</xref>; <xref ref-type="bibr" rid="ref92">Winnick et al., 2020</xref>). The model equation is</p>
<disp-formula id="E1">
<label>(1)</label>
<mml:math id="M1">
<mml:mfrac>
<mml:mi mathvariant="italic">&#x03B4;C</mml:mi>
<mml:mi mathvariant="italic">&#x03B4;t</mml:mi>
</mml:mfrac>
<mml:mo>=</mml:mo>
<mml:msup>
<mml:mi>D</mml:mi>
<mml:mo>&#x2217;</mml:mo>
</mml:msup>
<mml:mo stretchy="true">(</mml:mo>
<mml:mfrac>
<mml:mrow>
<mml:msup>
<mml:mi>&#x03B4;</mml:mi>
<mml:mn>2</mml:mn>
</mml:msup>
<mml:mi>C</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mi>&#x03B4;</mml:mi>
<mml:msup>
<mml:mi>z</mml:mi>
<mml:mn>2</mml:mn>
</mml:msup>
</mml:mrow>
</mml:mfrac>
<mml:mo stretchy="true">)</mml:mo>
<mml:mo>+</mml:mo>
<mml:mi>P</mml:mi>
<mml:mspace width="0.25em"/>
</mml:math>
</disp-formula>
<p>where <italic>C</italic> is the observed concentration of CO<sub>2</sub> (mol&#x202F;cm<sup>&#x2212;3</sup>), <italic>t</italic> is time (s), <italic>D&#x002A;</italic> is effective diffusivity (cm<sup>2</sup> s<sup>&#x2212;1</sup>), <italic>z</italic> is depth (cm), and <italic>P</italic> is net CO<sub>2</sub> production (mol&#x202F;cm<sup>&#x2212;3</sup> s<sup>&#x2212;1</sup>) (<xref ref-type="table" rid="tab1">Table 1</xref>). This temporally-transient equation was solved using a first-order centered difference approximation at a 1&#x202F;h timestep for the 20&#x202F;cm, 60&#x202F;cm, and 110&#x202F;cm depths (<xref ref-type="supplementary-material" rid="SM1">Supplemental information</xref>). Effective diffusivity was estimated as a linear function (<xref ref-type="disp-formula" rid="E2">Equation 2</xref>) of volumetric water content (<italic>VWC</italic>, cm<sup>3</sup> water cm<sup>&#x2212;3</sup> dry soil) and dry soil diffusivity or <italic>D</italic> (cm<sup>2</sup> s<sup>&#x2212;1</sup>) (<xref ref-type="bibr" rid="ref11">Campbell, 1985</xref>; <xref ref-type="bibr" rid="ref81">Steefel et al., 2015</xref>; <xref ref-type="bibr" rid="ref92">Winnick et al., 2020</xref>) as follows:</p>
<disp-formula id="E2">
<label>(2)</label>
<mml:math id="M2">
<mml:msup>
<mml:mi>D</mml:mi>
<mml:mo>&#x2217;</mml:mo>
</mml:msup>
<mml:mo>=</mml:mo>
<mml:mo stretchy="true">(</mml:mo>
<mml:mn>1</mml:mn>
<mml:mo>&#x2212;</mml:mo>
<mml:mfrac>
<mml:mrow>
<mml:mi mathvariant="italic">VWC</mml:mi>
<mml:mo>&#x2212;</mml:mo>
<mml:mi mathvariant="italic">VW</mml:mi>
<mml:msub>
<mml:mi>C</mml:mi>
<mml:mn>0</mml:mn>
</mml:msub>
</mml:mrow>
<mml:mrow>
<mml:mi mathvariant="italic">VW</mml:mi>
<mml:msub>
<mml:mi>C</mml:mi>
<mml:mi mathvariant="italic">sat</mml:mi>
</mml:msub>
<mml:mo>&#x2212;</mml:mo>
<mml:mi mathvariant="italic">VW</mml:mi>
<mml:msub>
<mml:mi>C</mml:mi>
<mml:mn>0</mml:mn>
</mml:msub>
</mml:mrow>
</mml:mfrac>
<mml:mo stretchy="true">)</mml:mo>
<mml:mo>&#x2217;</mml:mo>
<mml:msup>
<mml:mrow>
<mml:mo stretchy="true">(</mml:mo>
<mml:mfrac>
<mml:mi>T</mml:mi>
<mml:mn>283</mml:mn>
</mml:mfrac>
<mml:mo stretchy="true">)</mml:mo>
</mml:mrow>
<mml:mn>1.75</mml:mn>
</mml:msup>
<mml:mo>&#x2217;</mml:mo>
<mml:mi>D</mml:mi>
</mml:math>
</disp-formula>
<p>where <italic>VWC<sub>o</sub></italic> (cm<sup>3</sup> cm<sup>&#x2212;3</sup>) is the residual soil water content, which was assumed to be the minimum value observed across all soil depths at a site. The VWC (cm<sup>3</sup> cm<sup>&#x2212;3</sup>) at saturation or porosity (<italic>VWC<sub>sat</sub>,</italic> cm<sup>3</sup> cm<sup>&#x2212;3</sup>) was assumed to be the maximum VWC at each site across all soil depths. <italic>T</italic> is the soil temperature in degrees Kelvin (K) and 283 is a reference temperature (<xref ref-type="bibr" rid="ref92">Winnick et al., 2020</xref>). Dry soil diffusivity <italic>D</italic> (cm<sup>2</sup> s<sup>&#x2212;1</sup>) was calculated from soil physical properties using the following <xref ref-type="disp-formula" rid="E3">Equation 3</xref> (<xref ref-type="bibr" rid="ref21">Davidson et al., 2006</xref>).</p>
<disp-formula id="E3">
<label>(3)</label>
<mml:math id="M3">
<mml:mi>D</mml:mi>
<mml:mo>=</mml:mo>
<mml:msup>
<mml:msub>
<mml:mo>&#x2205;</mml:mo>
<mml:mi>g</mml:mi>
</mml:msub>
<mml:mfrac>
<mml:mn>4</mml:mn>
<mml:mn>3</mml:mn>
</mml:mfrac>
</mml:msup>
<mml:mo>&#x2217;</mml:mo>
<mml:msub>
<mml:mi>D</mml:mi>
<mml:mrow>
<mml:mi mathvariant="italic">CO</mml:mi>
<mml:mn>2</mml:mn>
</mml:mrow>
</mml:msub>
</mml:math>
</disp-formula>
<p>where <italic>D<sub>CO2</sub></italic> is the diffusion coefficient of CO<sub>2</sub> in air at STP (0.162&#x202F;cm<sup>2</sup> s<sup>&#x2212;1</sup>), and <inline-formula>
<mml:math id="M4">
<mml:msub>
<mml:mo>&#x2205;</mml:mo>
<mml:mi>g</mml:mi>
</mml:msub>
</mml:math>
</inline-formula> is the total soil porosity (cm<sup>3</sup> cm<sup>&#x2212;3</sup>). Total soil porosity was calculated from (<xref ref-type="disp-formula" rid="E4">Equation 4</xref>) bulk density (<italic>BD</italic>, g cm<sup>&#x2212;3</sup>) and weighted average particle density (<italic>PD</italic>, 2.61&#x202F;g&#x202F;cm<sup>&#x2212;3</sup>) using the following equation (<xref ref-type="bibr" rid="ref21">Davidson et al., 2006</xref>).</p>
<disp-formula id="E4">
<label>(4)</label>
<mml:math id="M5">
<mml:msub>
<mml:mo>&#x2205;</mml:mo>
<mml:mi>g</mml:mi>
</mml:msub>
<mml:mo>=</mml:mo>
<mml:mn>1</mml:mn>
<mml:mo>&#x2212;</mml:mo>
<mml:mo stretchy="true">(</mml:mo>
<mml:mi mathvariant="italic">BD</mml:mi>
<mml:mo>/</mml:mo>
<mml:mi mathvariant="italic">PD</mml:mi>
<mml:mo stretchy="true">)</mml:mo>
<mml:mspace width="0.25em"/>
</mml:math>
</disp-formula>
<table-wrap position="float" id="tab1">
<label>Table 1</label>
<caption>
<p>Parameters, variables and units used to estimate CO<sub>2</sub> production from concentration.</p>
</caption>
<table frame="hsides" rules="groups">
<thead>
<tr>
<th align="left" valign="top">Variable</th>
<th align="left" valign="top">Description</th>
<th align="center" valign="top">Value (units)</th>
</tr>
</thead>
<tbody>
<tr>
<td align="left" valign="bottom">P</td>
<td align="left" valign="bottom">CO<sub>2</sub> production of bulk soil</td>
<td align="center" valign="bottom">(mol&#x202F;cm<sup>&#x2212;3</sup> s<sup>&#x2212;1</sup>)</td>
</tr>
<tr>
<td align="left" valign="bottom">C</td>
<td align="left" valign="bottom">CO<sub>2</sub> concentration in soil air</td>
<td align="center" valign="bottom">(mol&#x202F;cm<sup>&#x2212;3</sup>)</td>
</tr>
<tr>
<td align="left" valign="bottom">t</td>
<td align="left" valign="bottom">Time</td>
<td align="center" valign="bottom">(seconds)</td>
</tr>
<tr>
<td align="left" valign="bottom">D&#x002A;</td>
<td align="left" valign="bottom">Effective diffusivity of the soil cross section</td>
<td align="center" valign="bottom">(cm<sup>2</sup> s<sup>&#x2212;1</sup>)</td>
</tr>
<tr>
<td align="left" valign="bottom">z</td>
<td align="left" valign="bottom">Depth</td>
<td align="center" valign="bottom">(cm)</td>
</tr>
<tr>
<td align="left" valign="bottom">VWC</td>
<td align="left" valign="bottom">Volumetric water content of water to soil</td>
<td align="center" valign="bottom"><italic>(cm<sup>3</sup> cm<sup>&#x2212;3</sup>)</italic></td>
</tr>
<tr>
<td align="left" valign="bottom">D</td>
<td align="left" valign="bottom">Dry soil diffusivity of the soil cross section</td>
<td align="center" valign="bottom">(cm<sup>2</sup> s<sup>&#x2212;1</sup>)</td>
</tr>
<tr>
<td align="left" valign="bottom">VWC<sub>o</sub></td>
<td align="left" valign="bottom">Dry soil volumetric water content of water to soil</td>
<td align="center" valign="bottom">(cm<sup>3</sup> cm<sup>&#x2212;3</sup>)</td>
</tr>
<tr>
<td align="left" valign="bottom">VWC<sub>sat</sub></td>
<td align="left" valign="bottom">Soil volumetric water content of water to soil at saturation</td>
<td align="center" valign="bottom">(cm<sup>3</sup> cm<sup>&#x2212;3</sup>)</td>
</tr>
<tr>
<td align="left" valign="bottom">T</td>
<td align="left" valign="bottom">Soil Temperature</td>
<td align="center" valign="bottom">(K)</td>
</tr>
<tr>
<td align="left" valign="bottom">D<sub>CO2</sub></td>
<td align="left" valign="bottom">Diffusion coefficient of CO<sub>2</sub> in air at STP</td>
<td align="center" valign="bottom">0.162 (cm<sup>2</sup> s<sup>&#x2212;1</sup>)</td>
</tr>
<tr>
<td align="left" valign="bottom">&#x2205;<sub>g</sub></td>
<td align="left" valign="bottom">Total soil porosity area of pores to dry soil</td>
<td align="center" valign="bottom">(cm<sup>3</sup> cm<sup>&#x2212;3</sup>)</td>
</tr>
<tr>
<td align="left" valign="bottom">BD</td>
<td align="left" valign="bottom">Bulk density dry soil to intact volume</td>
<td align="center" valign="bottom">(g&#x202F;cm<sup>&#x2212;3</sup>)</td>
</tr>
<tr>
<td align="left" valign="bottom">PD</td>
<td align="left" valign="bottom">Weighted average particle density</td>
<td align="center" valign="bottom">2.61 (g&#x202F;cm<sup>&#x2212;3</sup>)</td>
</tr>
</tbody>
</table>
</table-wrap>
<p>The bulk density was measured at all sampling depths (20, 60, 110, and 180&#x202F;cm) using the core method. The core volume was 98.17&#x202F;cm<sup>&#x2212;3</sup> across all sites; however, replicates at ILAG were made with an additional core volume of 242.63&#x202F;cm<sup>&#x2212;3</sup>. A bulk density measured at each depth was used in the model.</p>
</sec>
<sec id="sec7">
<title>Statistical methods</title>
<p>Each site was characterized using summary statistics such as the mean &#x00B1; 2 standard deviations of CO<sub>2</sub> and CO<sub>2</sub> production. To determine when and if factors such as temperature, VWC, solar radiation, and plant cover, covary with CO<sub>2</sub> concentrations or production, we calculated Pearson&#x2019;s correlations between these variables for each soil depth over a range of timescales and data resolutions (<xref ref-type="bibr" rid="ref68">Pearson, 1920</xref>). Specifically, CO<sub>2</sub> production and concentration were tested for correlations with temperature, solar radiation, and VWC at hourly, mean daily, and mean monthly scales for each soil depth across the entire data set and by season. The concentration and production of CO<sub>2</sub> were also tested for correlations with daily NDVI, both seasonally and across the data record, as hourly data was unavailable. For correlations with CO<sub>2</sub> concentration, the logarithm of CO<sub>2</sub> (log<sub>10</sub> CO<sub>2</sub>) was used as CO<sub>2</sub> data is often right skewed. Additionally, as the environmental variables are interrelated, we tested for correlations between temperature, VWC, solar radiation, and NDVI. Furthermore, multiple linear regressions between CO<sub>2</sub> and NDVI, temperature, and VWC were applied to determine how interactions between parameters affected CO<sub>2</sub> responses. We used t-tests to determine statistical significance (95% confidence) (<xref ref-type="bibr" rid="ref83">Student, 1908</xref>). Beyond correlations, we also studied instances of hysteresis between soil CO<sub>2</sub> and soil VWC observed over wetting events to determine the effects of storms on soil CO<sub>2</sub>. These individual events were analyzed in conjunction with summary statistics and antecedent conditions to infer how the system reacted to wetting in different seasonal conditions. The data analysis was conducted in R statistical language version 4.4.3 (<xref ref-type="bibr" rid="ref73">R Core Team, 2025</xref>).</p>
</sec>
</sec>
<sec sec-type="results" id="sec8">
<title>Results</title>
<sec id="sec9">
<title>Soil CO&#x2082; dynamics: seasonal patterns, depth gradients, and environmental controls</title>
<p>The CO<sub>2</sub> concentration was generally highest at deeper depths, 110&#x202F;cm or 180&#x202F;cm, across all sites, with CO<sub>2</sub> at 180&#x202F;cm often falling just below the peak at 110&#x202F;cm during mid to late summer. These peaks reached 59,551 ppm, 44,825 ppm, 25,201 ppm, and 33,492 ppm in ILAG, ILPR, NEAG, and NEPR, respectively, (<xref ref-type="fig" rid="fig3">Figure 3</xref>). The minimum recorded values at each site were 255&#x202F;ppm, 452&#x202F;ppm, 374&#x202F;ppm, and 113&#x202F;ppm in ILAG, ILPR, NEAG, and NEPR, respectively, all of which were at 20&#x202F;cm. Conversely the largest seasonal variability of CO<sub>2</sub> ppm was at the 110&#x202F;cm depth. The mean CO<sub>2</sub> concentration at 20&#x202F;cm was 5,485&#x202F;&#x00B1;&#x202F;12,270 ppm at ILAG, 3946&#x202F;&#x00B1;&#x202F;5,074&#x202F;ppm at ILPR, 2936&#x202F;&#x00B1;&#x202F;5,734&#x202F;ppm at NEAG, and 2,453&#x202F;&#x00B1;&#x202F;6,324&#x202F;ppm at NEPR. Despite having higher concentrations at the 20&#x202F;cm depth in agricultural soils, CO<sub>2</sub> production has the opposite pattern. The mean CO<sub>2</sub> production at 20&#x202F;cm at each site was 0.93&#x202F;&#x00B1;&#x202F;5.06&#x202F;g CO<sub>2</sub> m<sup>&#x2212;3</sup> h<sup>&#x2212;1</sup> in ILAG, 1.99&#x202F;&#x00B1;&#x202F;4.01&#x202F;g CO<sub>2</sub> m<sup>&#x2212;3</sup> h<sup>&#x2212;1</sup> in ILPR, 0.44&#x202F;&#x00B1;&#x202F;2.67&#x202F;g CO<sub>2</sub> m<sup>&#x2212;3</sup> h<sup>&#x2212;1</sup> in NEAG, and 0.58&#x202F;&#x00B1;&#x202F;3.18&#x202F;g CO<sub>2</sub> m<sup>&#x2212;3</sup> h<sup>&#x2212;1</sup> in NEPR (mean &#x00B1; 2x standard deviation). Therefore, although ILPR soils are producing more CO<sub>2</sub> at 20&#x202F;cm then ILAG, the rate of evasion must be higher at ILPR to account for the lower concentrations observed at the ILPR sites.</p>
<fig position="float" id="fig3">
<label>Figure 3</label>
<caption>
<p>Hourly CO<sub>2</sub> concentrations in ppm at 20, 60, 110, and 180&#x202F;cm through the study period for each of the four sites. Black, blue, red, and gray are from shallowest to deepest depth. Planet Lab NDVI for each site is shown in bottom panels with green representing agricultural sites and yellow prairie sites.</p>
</caption>
<graphic xlink:href="frwa-07-1638541-g003.tif" mimetype="image" mime-subtype="tiff">
<alt-text content-type="machine-generated">Graphs show carbon dioxide concentration and NDVI over time at different depths and sites from February 2022 to February 2024. CO2 is measured at 20 cm, 60 cm, 110 cm, and 180 cm depths in ppm. NDVI is depicted separately below each CO2 graph. CO2 data fluctuates with peaks observed in 2023, varying by depth and site. NDVI shows growth patterns aligning with CO2 peaks. Sites include ILAG, ILPR, NEAG, and NEPR.</alt-text>
</graphic>
</fig>
<p>NDVI peaked in June through August in NE and IL with both site-pairs showing higher peaks in the agricultural sites in 2023 and prairie sites in 2022. NDVI peaks reached 0.86 in NEAG, 0.81 in NEPR, 0.93 in ILAG and 0.85 in ILPR. The Planet Lab NDVI data correlated significantly to both air temperature (ILAG R&#x202F;=&#x202F;0.39, ILPR R&#x202F;=&#x202F;0.52, NEAG R&#x202F;=&#x202F;0.59, and NEPR R&#x202F;=&#x202F;0.68) and solar radiation (ILAG R&#x202F;=&#x202F;0.13, ILPR R&#x202F;=&#x202F;not significant, NEAG R&#x202F;=&#x202F;0.15, and NEPR R&#x202F;=&#x202F;0.17). Overall, NDVI shows a consistent seasonal pattern varying between 0.20 in winter and 0.93 in summer with sharp seasonal changes in spring and fall.</p>
<p>The summer months had the largest daily fluctuations in CO<sub>2</sub> concentrations. The amplitude of the diurnal cycles seen in the CO<sub>2</sub> concentrations were up to 25,000 ppm at 20&#x202F;cm and persisted to depths of 180&#x202F;cm across all sites. When comparing the daily cycle of CO<sub>2</sub> to that of solar radiation we used minimum pCO<sub>2</sub> per day. This was done as the maximum daily CO<sub>2</sub> values are generally at night causing a bias to midnight if there was an increasing or decreasing trend in the data. Most solar radiation peaks were within 2 h of the minimum daily CO<sub>2</sub> concentration at 20&#x202F;cm across the sites in summer months, with a minimum CO<sub>2</sub> concentration between 11:00 and 13:00, whereas solar radiation maximums were later at 12:00 to 13:00 (<xref ref-type="fig" rid="fig4">Figure 4</xref>).</p>
<fig position="float" id="fig4">
<label>Figure 4</label>
<caption>
<p>Diurnal oscillations of CO<sub>2</sub> at each depth at the four sites. Yellow denotes the daytime interval from 6:00 to 18:00. The 180&#x202F;cm CO<sub>2</sub> sensor was nonfunctional in ILPR during the graphed times. The IL sites and NEAG are from the year 2022 and NEPR is from 2023.</p>
</caption>
<graphic xlink:href="frwa-07-1638541-g004.tif" mimetype="image" mime-subtype="tiff">
<alt-text content-type="machine-generated">Four line graphs display carbon dioxide levels in parts per million (ppm) over time at different depths, labeled ILAG, NEAG, ILPR, and NEPR. Each graph has lines for depths at twenty, sixty, one hundred ten, and one hundred eighty centimeters. Dates vary per graph: ILAG (Sep 13-20), NEAG (May 23-Jun 02), ILPR (Sep 25-Oct 01), and NEPR (Aug 07-13). CO2 levels and patterns differ across graphs and depths.</alt-text>
</graphic>
</fig>
<p>Soil wetting events show a distinct response in CO<sub>2</sub> concentrations, with sharp declines often occurring at the onset of wetting, then rapidly returning to pre-storm or elevated conditions (<xref ref-type="fig" rid="fig5">Figure 5</xref>). These rapid dips in CO<sub>2</sub> concentration were present at all depths when VWC increased and were more pronounced when antecedent CO<sub>2</sub> concentrations were higher and wetting events were larger. Similar patterns were seen in O<sub>2</sub> with soil wetting events resulting in rapid increases in soil O<sub>2</sub>, when soil O<sub>2</sub> was depleted before the rain event. In essence, these wetting events caused O<sub>2</sub> to increase towards atmospheric values and CO<sub>2</sub> to decrease towards atmospheric values because rain water entering the soil was previously equilibrated with atmospheric gas concentrations. O<sub>2</sub> approached but never exceeded typical atmospheric values, and CO<sub>2</sub> always remained elevated above atmospheric values (<xref ref-type="fig" rid="fig5">Figure 5</xref>). Hysteresis plots between soil CO<sub>2</sub> and soil VWC showed that some wetting events led to prolonged increases in CO<sub>2</sub> during the following days, particularly those in mid-summer when NDVI was high (<xref ref-type="fig" rid="fig6">Figure 6</xref>).</p>
<fig position="float" id="fig5">
<label>Figure 5</label>
<caption>
<p>Examples of wetting events at 20&#x202F;cm causing a drop in CO<sub>2</sub> and rise in O<sub>2</sub> followed by a recovery of CO<sub>2</sub> to higher values. Blue lines indicate VWC, black lines indicate soil gas pCO<sub>2</sub>, and green indicates O<sub>2</sub>. The small initial drop in CO<sub>2</sub> at ILPR at the onset of the wetting event is likely due to a combination of low CO<sub>2</sub> ppm at the start of the event and a very small increase in VWC. This means that the soil gas and rainwater likely reached an equilibrium above 20&#x202F;cm.</p>
</caption>
<graphic xlink:href="frwa-07-1638541-g005.tif" mimetype="image" mime-subtype="tiff">
<alt-text content-type="machine-generated">Four line graphs display the variation of oxygen percentage, carbon dioxide concentration, and volumetric water content over time. The top graphs, labeled ILAG and ILPR, and the bottom graphs, labeled NEAG and NEPR, each show three lines representing the different data. Oxygen percentage and carbon dioxide levels are plotted against dates, with distinct patterns and fluctuations across all graphs.</alt-text>
</graphic>
</fig>
<fig position="float" id="fig6">
<label>Figure 6</label>
<caption>
<p>Soil CO<sub>2</sub> vs. VWC in ILAG, NEAG, and NEPR. Darker colors and smaller dots indicate early time points in the event with the star indicating the start of the event. Most events show hysteresis with initial drops in CO<sub>2</sub> as VWC rises followed by increasing CO<sub>2</sub> on the return to initial VWC conditions.</p>
</caption>
<graphic xlink:href="frwa-07-1638541-g006.tif" mimetype="image" mime-subtype="tiff">
<alt-text content-type="machine-generated">Scatter plots show histogrames between CO&#x2082; concentration (ppm) at 20 cm depth and volumetric water content (VWC) at 20 cm for different dates. Two plots labeled ILAG show a range of CO&#x2082; and VWC values for early August and early September. NEAG plots depict July and early August data, while NEPR plots represent mid-June and October to November data. Each plot includes stars indicating specific points, with different colors representing various dates.</alt-text>
</graphic>
</fig>
<p>NDVI had a significant positive correlation to Log<sub>10</sub> CO<sub>2</sub> concentrations in NE (NEAG R&#x202F;=&#x202F;0.71, NEPR R&#x202F;=&#x202F;0.72) and IL (ILAG R&#x202F;=&#x202F;0.78), and log<sub>10</sub> CO<sub>2</sub> production NE (NEAG R&#x202F;=&#x202F;0.27, NEPR R&#x202F;=&#x202F;0.55) and IL (ILAG R&#x202F;=&#x202F;0.60) with the NEPR having a stronger coefficient of determination than NEAG, unfortunately not enough data was available in ILPR (<xref ref-type="table" rid="tab2">Table 2</xref>). Furthermore, log<sub>10</sub> CO<sub>2</sub> concentrations at 20&#x202F;cm show statistically significant (<italic>p</italic>&#x202F;&#x003C;&#x202F;0.05) negative correlations with solar radiation when preforming a correlation for each day in summer, yielding mean correlation coefficient of the daily correlations at each site of &#x2212;0.60, &#x2212;0.35, &#x2212;0.46, and &#x2212;0.52 in ILAG, ILPR, NEAG, and NEPR, respectively. Similarly, CO<sub>2</sub> production had significant (p&#x202F;&#x003C;&#x202F;0.05) positive daily correlations with solar radiation in summer, yielding mean R of the daily correlations at each site of 0.43, 0.54, 0.42, and 0.43 in ILAG, ILPR, NEAG, and NEPR, respectively. We also detected correlations between soil temperature and log<sub>10</sub> CO<sub>2</sub> concentration at 20&#x202F;cm in NE (NEAG R&#x202F;=&#x202F;0.68, NEPR R&#x202F;=&#x202F;0.73) and IL (ILAG R&#x202F;=&#x202F;0.75, ILPR R&#x202F;=&#x202F;0.37) and weaker but still statistically significant correlations between soil temperature and CO<sub>2</sub> production at 20&#x202F;cm with R of 0.36, 0.53, 0.32, and 0.20 in NEAG, NEPR, ILAG, and ILPR, respectively. Furthermore, we find that correlations between soil temperature and CO<sub>2</sub> concentration or production are both inconsistent with depth and data coarseness (<xref ref-type="table" rid="tab3">Table 3</xref>). In general, CO<sub>2</sub> concentration correlations with soil temperature increase with depth at ILPR and NEAG but fluctuate at ILAG and NEPR. Soil temperature correlations with production generally decrease with depth, however the 60&#x202F;cm correlations are generally negative (<xref ref-type="fig" rid="fig7">Figure 7</xref>, <xref ref-type="supplementary-material" rid="SM2">Supplementary Table 1</xref>). Additionally, correlations become weaker when only considering summer months at all sites except for CO<sub>2</sub> production at ILAG at 110&#x202F;cm depth. We also note an increase in the correlation coefficient and decrease in Akaike Information Criterion between soil temperature and CO<sub>2</sub> concentration or production when coarser data is used, such as daily or monthly data (<xref ref-type="table" rid="tab3">Table 3</xref>).</p>
<table-wrap position="float" id="tab2">
<label>Table 2</label>
<caption>
<p>Results of individual and multivariate linear regressions between log<sub>10</sub> CO<sub>2</sub> concentration or log<sub>10</sub> CO<sub>2</sub> production at 20&#x202F;cm and temperature at 20&#x202F;cm, VWC at 20&#x202F;cm, and NDVI for each field station are shown with the AIC values from the regressions in parentheses.</p>
</caption>
<table frame="hsides" rules="groups">
<thead>
<tr>
<th align="left" valign="top" rowspan="3">Variables</th>
<th align="center" valign="top">ILAG</th>
<th align="center" valign="top">ILPR</th>
<th align="center" valign="top">NEAG</th>
<th align="center" valign="top">NEPR</th>
<th align="center" valign="top">ILAG</th>
<th align="center" valign="top">ILPR</th>
<th align="center" valign="top">NEAG</th>
<th align="center" valign="top">NEPR</th>
</tr>
<tr>
<th align="center" valign="top" colspan="4">log<sub>10</sub> CO<sub>2</sub> concentration</th>
<th align="center" valign="top" colspan="4">log<sub>10</sub> CO<sub>2</sub> production</th>
</tr>
<tr>
<th align="center" valign="top">R (AIC)</th>
<th align="center" valign="top">R (AIC)</th>
<th align="center" valign="top">R (AIC)</th>
<th align="center" valign="top">R (AIC)</th>
<th align="center" valign="top">R (AIC)</th>
<th align="center" valign="top">R (AIC)</th>
<th align="center" valign="top">R (AIC)</th>
<th align="center" valign="top">R (AIC)</th>
</tr>
</thead>
<tbody>
<tr>
<td align="left" valign="top">VWC</td>
<td align="center" valign="top">0.24<break/>(16396)</td>
<td align="center" valign="top">0.14<break/>(1075)</td>
<td align="center" valign="top"><italic>0.42</italic><break/>(10246)</td>
<td align="center" valign="top">0.03<break/>(26892)</td>
<td align="center" valign="top">0.20<break/>(15375)</td>
<td align="center" valign="top">0.10<break/>(3083)</td>
<td align="center" valign="top">0.10<break/>(10775)</td>
<td align="center" valign="top"><italic>0.30</italic><break/>(14148)</td>
</tr>
<tr>
<td align="left" valign="top">Temp</td>
<td align="center" valign="top"><italic>0.75</italic><break/>(7389)</td>
<td align="center" valign="top">0.37<break/>(721)</td>
<td align="center" valign="top">0.68<break/>(5069)</td>
<td align="center" valign="top"><bold>0.73</bold><break/>(10316)</td>
<td align="center" valign="top"><bold>
<italic>0.69</italic>
</bold><break/>(10919)</td>
<td align="center" valign="top">0.24<break/>(2955)</td>
<td align="center" valign="top">0.24<break/>(10431)</td>
<td align="center" valign="top"><bold>0.57</bold><break/>(10911)</td>
</tr>
<tr>
<td align="left" valign="top">NDVI</td>
<td align="center" valign="top"><bold>
<italic>0.78</italic>
</bold><break/>(1722)</td>
<td align="center" valign="top">&#x2013;</td>
<td align="center" valign="top"><bold>0.71</bold><break/>(4272)</td>
<td align="center" valign="top">0.72<break/>(4230)</td>
<td align="center" valign="top"><italic>0.60</italic><break/>(3856)</td>
<td align="center" valign="top">&#x2013;</td>
<td align="center" valign="top"><bold>0.26</bold><break/>(9596)</td>
<td align="center" valign="top">0.55<break/>(10510)</td>
</tr>
<tr>
<td align="left" valign="top">{Temp, VWC}</td>
<td align="center" valign="top">0.75<break/>(7334)</td>
<td align="center" valign="top">0.40<break/>(626)</td>
<td align="center" valign="top">0.69<break/>(5019)</td>
<td align="center" valign="top"><italic>0.77</italic><break/>(6937)</td>
<td align="center" valign="top"><italic>0.71</italic><break/>(10705)</td>
<td align="center" valign="top">0.26<break/>(2929)</td>
<td align="center" valign="top">0.35<break/>(9936)</td>
<td align="center" valign="top">0.58<break/>(10766)</td>
</tr>
<tr>
<td align="left" valign="top">{NDVI, VWC}</td>
<td align="center" valign="top">0.79<break/>(1460)</td>
<td align="center" valign="top">&#x2013;</td>
<td align="center" valign="top">0.72<break/>(3924)</td>
<td align="center" valign="top">0.72<break/>(4209)</td>
<td align="center" valign="top"><italic>0.62</italic><break/>(3780)</td>
<td align="center" valign="top">&#x2013;</td>
<td align="center" valign="top">0.36<break/>(9137)</td>
<td align="center" valign="top">0.55<break/>(10510)</td>
</tr>
<tr>
<td align="left" valign="top">{NDVI, Temp, VWC}</td>
<td align="center" valign="top"><italic>0.81</italic><break/>(1280)</td>
<td align="center" valign="top">&#x2013;</td>
<td align="center" valign="top">0.76<break/>(2243)</td>
<td align="center" valign="top">0.75<break/>(2615)</td>
<td align="center" valign="top"><italic>0.63</italic><break/>(3717)</td>
<td align="center" valign="top">&#x2013;</td>
<td align="center" valign="top">0.40<break/>(8891)</td>
<td align="center" valign="top">0.60<break/>(9652)</td>
</tr>
</tbody>
</table>
<table-wrap-foot>
<p>ILPR did not have enough NDVI data for a regression. The bold values are the largest per column and italic values are the largest per row for each concentration and production.</p>
</table-wrap-foot>
</table-wrap>
<table-wrap position="float" id="tab3">
<label>Table 3</label>
<caption>
<p>Correlations between CO<sub>2</sub> and mean soil temperature at an hourly, daily, and monthly scale at 20&#x202F;cm.</p>
</caption>
<table frame="hsides" rules="groups">
<thead>
<tr>
<th rowspan="2">Correlated variable</th>
<th align="left" valign="top" rowspan="2">Sample resolution</th>
<th align="left" valign="top">ILAG</th>
<th align="left" valign="top">ILPR</th>
<th align="left" valign="top">NEAG</th>
<th align="left" valign="top">NEPR</th>
</tr>
<tr>
<th align="left" valign="bottom">R (AIC)</th>
<th align="left" valign="bottom">R (AIC)</th>
<th align="left" valign="bottom">R (AIC)</th>
<th align="left" valign="bottom">R (AIC)</th>
</tr>
</thead>
<tbody>
<tr>
<td align="left" valign="middle" rowspan="3">CO<sub>2</sub> ppm</td>
<td align="left" valign="top">Hour</td>
<td align="center" valign="top">0.61<break/>(228972)</td>
<td align="center" valign="top">0.38<break/>(52671)</td>
<td align="center" valign="top">0.63<break/>(225760)</td>
<td align="center" valign="top">0.61<break/>(405472)</td>
</tr>
<tr>
<td align="left" valign="top">Day</td>
<td align="center" valign="top">0.62<break/>(9558)</td>
<td align="center" valign="top">0.41<break/>(2203)</td>
<td align="center" valign="top">0.67<break/>(8133)</td>
<td align="center" valign="top">0.62<break/>(12867)</td>
</tr>
<tr>
<td align="left" valign="top">Month</td>
<td align="center" valign="top">0.74<break/>(234)</td>
<td align="center" valign="top">0.51<break/>(93)</td>
<td align="center" valign="top">0.79<break/>(218)</td>
<td align="center" valign="top">0.84<break/>(213)</td>
</tr>
<tr>
<td align="left" valign="middle" rowspan="3">CO<sub>2</sub> production</td>
<td align="left" valign="top">Hour</td>
<td align="center" valign="top">0.32<break/>(52920)</td>
<td align="center" valign="top">0.20<break/>(12009)</td>
<td align="center" valign="top">0.36<break/>(40503)</td>
<td align="center" valign="top">0.53<break/>(53317)</td>
</tr>
<tr>
<td align="left" valign="top">Day</td>
<td align="center" valign="top">0.43<break/>(1881)</td>
<td align="center" valign="top">0.24<break/>(457)</td>
<td align="center" valign="top">0.48<break/>(1204)</td>
<td align="center" valign="top">0.64<break/>(1703)</td>
</tr>
<tr>
<td align="left" valign="top">Month</td>
<td align="center" valign="top">0.69<break/>(35)</td>
<td align="center" valign="top">0.22<break/>(21)</td>
<td align="center" valign="top">0.89<break/>(10)</td>
<td align="center" valign="top">0.91<break/>(21)</td>
</tr>
</tbody>
</table>
<table-wrap-foot>
<p>All correlations are statistically significant (<italic>p</italic>&#x202F;&#x003C;&#x202F;0.05).</p>
</table-wrap-foot>
</table-wrap>
<fig position="float" id="fig7">
<label>Figure 7</label>
<caption>
<p>Correlation coefficients (R) between CO<sub>2</sub> concentration (purple outlines) or CO<sub>2</sub> production (black outlines) with soil temperature, where colors indicate site and marker types indicate depths, based on hourly data. For each correlation, temperature and CO<sub>2</sub> variables are at the same depth of 20&#x202F;cm, 60&#x202F;cm, and 110&#x202F;cm. Summer months include June to September. The values shown are statistically significant (<italic>p</italic>&#x202F;&#x003C;&#x202F;0.05).</p>
</caption>
<graphic xlink:href="frwa-07-1638541-g007.tif" mimetype="image" mime-subtype="tiff">
<alt-text content-type="machine-generated">Scatterplot depicting summer versus all-year soil temperature correlations with a diagonal dashed line through the origin. Data points vary by type (Concentration, Production), site (ILAG, ILPR, NEAG, NEPR), and depth (20, 60, 110). Legend specifies types as circles, squares, and diamonds in different colors representing site locations. Points are scattered around the diagonal.</alt-text>
</graphic>
</fig>
</sec>
<sec id="sec10">
<title>Patterns of VWC and NDVI most strongly relate to CO<sub>2</sub></title>
<p>VWC shows an annual cycle with declining soil moisture through the summer growing season (yellow shading in <xref ref-type="fig" rid="fig8">Figure 8</xref>), with pulses of rapid wetting due to rain events followed by drying. Between both IL sites, 99 individual events over the course of the study increased VWC at 20&#x202F;cm, of which only 42% reached 60&#x202F;cm, 27% reached 110&#x202F;cm, and 12% reached 180&#x202F;cm. Across both NE sites, 64 events increased VWC at 20&#x202F;cm with 34, 16, and 8% of the 64 events reaching 60, 110, and 180&#x202F;cm, respectively. In both regions, the AG sites had at least 1.4 times more wetting events at depths of 60&#x202F;cm or greater than PR sites. In NE, the deepest 180&#x202F;cm soils were wettest in all seasons except spring when 20&#x202F;cm was wettest. ILPR generally had wetter conditions at the 20&#x202F;cm and 60&#x202F;cm depths, however 20&#x202F;cm was the driest in summer. At ILAG, soil was wettest at the 60 depth for all seasons. Seasonal differences in VWC were highest in the shallower soils, with the largest variability at 20&#x202F;cm. Specifically, VWC ranged from 0.123 to 0.499 in NE and from 0.2 to 0.435 in IL at the same depths. Additionally, NEAG had the largest swings in VWC, and ILAG had the smallest (<xref ref-type="fig" rid="fig8">Figure 8</xref>, <xref ref-type="supplementary-material" rid="SM2">Supplementary Table 2</xref>). Correlation between CO<sub>2</sub> concentrations and VWC were generally weak especially in the shallow soils (20 and 60&#x202F;cm) and were stronger in summer than across the entire year (<xref ref-type="fig" rid="fig9">Figure 9</xref>). However, only the summer (Jun-Sep) correlations for ILPR at 20&#x202F;cm and NEAG at 110&#x202F;cm had correlations above 0.50 (<xref ref-type="fig" rid="fig9">Figure 9</xref>, <xref ref-type="supplementary-material" rid="SM2">Supplementary Table 3</xref>). Furthermore, the correlations between CO<sub>2</sub> production and VWC were generally weaker than those with CO<sub>2</sub> concentration. Of the sites, only ILPR showed correlations above R&#x202F;=&#x202F;0.50 (<xref ref-type="fig" rid="fig9">Figure 9</xref>, <xref ref-type="supplementary-material" rid="SM2">Supplementary Table 3</xref>).</p>
<fig position="float" id="fig8">
<label>Figure 8</label>
<caption>
<p>Soil volumetric water content (m<sup>3</sup> m<sup>&#x2212;3</sup>) for each site and depth over the study period. The lightest blue color is 20&#x202F;cm the darkest blue is 180&#x202F;cm. The shaded yellow areas indicate summer (June 1 to September 30) of 2022 and 2023 for all sites (and late summer of 2021 for ILPR).</p>
</caption>
<graphic xlink:href="frwa-07-1638541-g008.tif" mimetype="image" mime-subtype="tiff">
<alt-text content-type="machine-generated">Four line graphs show Volumetric Water Content (VWC) at depths of 20, 60, 110, and 180 centimeters from September 2021 to December 2023 for locations ILAG, ILPR, NEAG, and NEPR. Each graph indicates variations over time, with highlighted periods and distinct depth lines.</alt-text>
</graphic>
</fig>
<fig position="float" id="fig9">
<label>Figure 9</label>
<caption>
<p>Correlation coefficients (R) between CO<sub>2</sub> concentration (purple outlines) or CO<sub>2</sub> production (black outlines) with soil VWC, where colors indicate site. For each correlation variables are all at the same depth of 20&#x202F;cm (circles), 60&#x202F;cm (squares), and 110&#x202F;cm (diamonds), and hourly data was used. Summer months include June to September. The values shown are significant <italic>p</italic>&#x202F;&#x003C;&#x202F;0.05. Summer correlations tend to be higher than correlations over the year, especially at shallow depths (circles) and for prairie (ILPR, NEPR) sites. The horizontal gray line is 0.5.</p>
</caption>
<graphic xlink:href="frwa-07-1638541-g009.tif" mimetype="image" mime-subtype="tiff">
<alt-text content-type="machine-generated">Scatter plot showing correlations between summer and all-year values across various types, sites, and depths. Symbols include circles and squares in colors representing sites ILAG, ILPR, NEAG, and NEPR. Size and shape denote depth levels. A legend explains symbols for type (concentration and production) and depth (20, 60, 110) with dashed and solid lines marking correlation significance.</alt-text>
</graphic>
</fig>
<p>Temperature also showed a seasonal and daily cycle driven by solar radiation, and correlations between radiation and air temperature were noted in IL (R&#x202F;=&#x202F;0.49 AG, R&#x202F;=&#x202F;0.42 PR) and NE (R&#x202F;=&#x202F;0.41 AG, R&#x202F;=&#x202F;0.42 PR). In Nebraska, air temperatures ranged from &#x2212;27 to 40&#x202F;&#x00B0;C, whereas Illinois was on average warmer and ranged from &#x2212;24 to 37&#x202F;&#x00B0;C. Daily swings in air temperature were generally lowest in December and January and largest in April and October, with daily temperature swings as large as 32&#x202F;&#x00B0;C and as small as 1&#x202F;&#x00B0;C. Peak air temperatures were offset from solar radiation by an average of 2.5&#x202F;h after maximum solar radiation in IL and 1.9&#x202F;h in NE. This was consistent throughout the year in NE, whereas in IL some winter months had small temporal offsets. Soil temperatures at the agricultural sites showed greater variability, especially at the shallowest 20&#x202F;cm depths where soil temperature ranged from &#x2212;8.8 to 30&#x202F;&#x00B0;C in NE and &#x2212;1.8 to 32&#x202F;&#x00B0;C in IL. Additionally, 20&#x202F;cm was the only depth to show a clear diurnal oscillation in soil temperature. Deeper soils showed seasonal variability, which was muted and lagged with depth (<xref ref-type="fig" rid="fig10">Figure 10</xref>).</p>
<fig position="float" id="fig10">
<label>Figure 10</label>
<caption>
<p>Soil temperature at 20, 60, 110, and 180&#x202F;cm, where lighter red colors indicate shallower depths and air temperature in gray. Yellow shading denotes the daytime window from 6:00 to 18:00. The IL sites and NEAG data segments are from 2022 and NEPR is from 2023. Only the 20&#x202F;cm depth shows diurnal oscillation and deeper depths reflect more seasonal patterns.</p>
</caption>
<graphic xlink:href="frwa-07-1638541-g010.tif" mimetype="image" mime-subtype="tiff">
<alt-text content-type="machine-generated">Line graphs compare ground and air temperatures at various depths (20 cm, 60 cm, 110 cm, 180 cm) in different locations (ILAG, NEAG, ILPR, NEPR) over specified date ranges. Left graphs show short-term data, while right graphs depict long-term trends. Temperature trends vary by depth and location, with seasonal fluctuations evident in long-term graphs.</alt-text>
</graphic>
</fig>
</sec>
</sec>
<sec sec-type="discussion" id="sec11">
<title>Discussion</title>
<p>We found that CO<sub>2</sub> production and concentration correlate strongly to plant growth metrics and solar radiation at both seasonal and daily timescales, indicating that plants exert strong and significant controls on soil CO<sub>2</sub>. Sub-daily data also suggests that the antecedent conditions in soils, such as CO<sub>2</sub> concentration and plant cover, can alter responses to rain events. Furthermore, as rainwater equilibrates with soil gases, the soil CO<sub>2</sub> is dissolved into the rainwater. This causes rapid decreases in soil CO<sub>2</sub> concentrations at the onset of storms toward atmospheric concentrations and O<sub>2</sub> increases toward atmospheric concentrations (<xref ref-type="fig" rid="fig5">Figure 5</xref>). Additionally, soil CO<sub>2</sub> concentration responses to solar radiation and NDVI are consistent in both agricultural and prairie environments; however, the strength of the responses between CO<sub>2</sub> and NDVI show stronger correlations at the NEPR sites (<xref ref-type="table" rid="tab2">Table 2</xref>). These differences are likely due to the types of plant communities and their rooting densities in agricultural and prairie environments, which are often annual monocultures and a mix of perennials, respectively. The greater rooting density of perries likely leads to the stronger correlations seen between NDVI and soil CO<sub>2</sub> concentrations and production.</p>
<sec id="sec12">
<title>Autotrophic drivers</title>
<p>Our results underscore the strong influence of plants, likely from root respiration and microbial respiration stimulated by root exudates, on soil CO<sub>2</sub> dynamics. This influence is evident across seasonal and daily timescales, especially during the growing season when plant phenology and activity plays a dominant role (<xref ref-type="table" rid="tab3">Table 3</xref>). Previous studies have highlighted the importance of autotrophic drivers in soil CO<sub>2</sub> production (<xref ref-type="bibr" rid="ref50">Lei et al., 2023</xref>; <xref ref-type="bibr" rid="ref57">Liu et al., 2024</xref>), as root growth processes (root respiration and microbial respired exudates) can account for 29&#x2013;90% (<xref ref-type="bibr" rid="ref25">Dugas et al., 1999</xref>; <xref ref-type="bibr" rid="ref52">Li et al., 2021</xref>) and 22% of soil CO<sub>2</sub> fluxes in prairie and corn systems, respectively, (<xref ref-type="bibr" rid="ref63">Nichols et al., 2016</xref>) and indices like Enhanced Vegetation Index strongly predict shallow soil CO<sub>2</sub> in ecosystems such as rocky mountain meadows (<xref ref-type="bibr" rid="ref92">Winnick et al., 2020</xref>). Similarly, soils with active root systems under tree cover exhibit significantly higher respiration compared to adjacent areas without roots (<xref ref-type="bibr" rid="ref85">Tang et al., 2005</xref>). Within our data, soil CO<sub>2</sub> production and concentration show distinct and sharp seasonal shifts that indicate plant interactions are a significant driver (<xref ref-type="fig" rid="fig3">Figure 3</xref>). Primarily, soil CO<sub>2</sub> concentration in the agricultural sites correlate more strongly to the sharp seasonal trends of NDVI than the gradual change in temperature (<xref ref-type="table" rid="tab2">Table 2</xref>). This indicates that the onset of plant growth is a stronger driver than temperature driven microbial respiration alone. This stronger correlation to NDVI is seen at both agricultural sites and is consistent across measurement years, indicating this is a consistent pattern across the agricultural landscapes.</p>
<p>Further support for the importance of plant mediated respiration is seen in the daily oscillation of CO<sub>2</sub> concentration and production within the data and the negative correlation between solar radiation and CO<sub>2</sub> concentrations at 20&#x202F;cm in summer months. These daily oscillations are roughly 12&#x202F;h offset from solar radiation availability, resulting in the lowest CO<sub>2</sub> around peak solar radiation and the highest CO<sub>2</sub> at night (<xref ref-type="fig" rid="fig4">Figure 4</xref>). <xref ref-type="bibr" rid="ref37">Hirano et al. (2003)</xref> and <xref ref-type="bibr" rid="ref85">Tang et al. (2005)</xref> observed similar patterns with CO<sub>2</sub> minimums occurring during the day. <xref ref-type="bibr" rid="ref85">Tang et al. (2005)</xref> also noted soil CO<sub>2</sub> production peaks and photosynthesis peaks were offset by 7&#x2013;12&#x202F;h in forested environments which was attributed to the slow transport of carbohydrates from leaves to the roots. This matches with other research that shows grasses have a 12.5&#x202F;&#x00B1;&#x202F;7.5&#x202F;h (mean &#x00B1; standard deviation) time lag in carbohydrate transport from leaves to the roots through the phloem (<xref ref-type="bibr" rid="ref45">Kuzyakov and Gavrichkova, 2010</xref>). The presence of these oscillations in CO<sub>2</sub> concentrations, which potentially match the pulses of carbohydrates from roots, means that during the growing season the availability of easily respired C limits respiration instead of temperature. As this represents a potentially large shift in how many models handle soil CO<sub>2</sub> respiration, further research is needed to corroborate these findings.</p>
<p>Soil temperature is likely not the primary driver of measured total soil respiration, as soil temperature does not show diurnal oscillations at depths greater than 20&#x202F;cm (<xref ref-type="fig" rid="fig10">Figure 10</xref>), while CO<sub>2</sub> concentrations show these oscillations at much deeper depths. If temperature influences on microbial respiration were the primary driver of soil CO<sub>2</sub> concentration variability, then we would expect soil temperature and CO<sub>2</sub> concentration to jointly oscillate across the same depths, as temperature enhances microbial activity and drives respiration (<xref ref-type="bibr" rid="ref33">Han et al., 2007</xref>). Similar mismatches between temperatures and CO<sub>2</sub> concentration variability have been documented in the literature (<xref ref-type="bibr" rid="ref59">Makita et al., 2018</xref>; <xref ref-type="bibr" rid="ref55">Liu et al., 2006</xref>), and recent findings have shown that diurnal cycles play an important role in soil respiration response to rising temperature with larger daily temperature swings resulting in muted responses of respiration (<xref ref-type="bibr" rid="ref2">Adekanmbi and Sizmur, 2022</xref>; <xref ref-type="bibr" rid="ref1">Adekanmbi et al., 2022</xref>). Furthermore, these CO<sub>2</sub> oscillations are present in the late spring, summer, and early fall at all sites but not in early spring, late fall, or winter when plant cover is low, indicating that these oscillations are caused by plant cover. Additionally, our data show that the daily oscillations of CO<sub>2</sub> concentration persist to depths of 60, 110, and 180&#x202F;cm, far deeper than daily soil temperature swings, which are only present to 20&#x202F;cm (<xref ref-type="fig" rid="fig4">Figures 4</xref>, <xref ref-type="fig" rid="fig10">10</xref>). These findings are strong indicators that although temperature plays a role in CO<sub>2</sub> production in soils, plant induced respiration represents a primary driver during the growing season. This research is not the first study to show plant mediated soil CO<sub>2</sub> production (<xref ref-type="bibr" rid="ref55">Liu et al., 2006</xref>; <xref ref-type="bibr" rid="ref33">Han et al., 2007</xref>; <xref ref-type="bibr" rid="ref59">Makita et al., 2018</xref>; <xref ref-type="bibr" rid="ref52">Li et al., 2021</xref>; <xref ref-type="bibr" rid="ref50">Lei et al., 2023</xref>), it does so at a depth (1.8&#x202F;m) and magnitude (25,000 ppm) of CO<sub>2</sub> oscillations not often seen. Our data show that accurate predictions of soil respiration at sub daily scales rely on the influence of plant soil interactions such as exudates to accurately understand the respiration rates of microbial communities and should be considered when determining soil C budgets even at these rapid time scales or within deep soils.</p>
<p>These findings suggest that partitioning soil respiration into direct root respiration or root-exudate stimulated microbial respiration is important to fill current knowledge gaps within the soil carbon cycle. This could be accomplished through isotope-based age classifications or other partitioning methods as plant mediated respiration may come from a multitude of sources that would have different responses to climatic or land use changes. Additionally, the contributions of plant species, genus, or functional type should be considered in future work as previous studies have shown that individual species (<xref ref-type="bibr" rid="ref42">Johnson et al., 2008</xref>) or root sizes (<xref ref-type="bibr" rid="ref5">Bahn et al., 2006</xref>) may contribute to respiration at higher rates than others. This difference will be important to consider when planning restoration projects, determining how species composition changes post agricultural abandonment may alter soil carbon (<xref ref-type="bibr" rid="ref47">Ladouceur et al., 2023</xref>) and how climate shifts in plant ranges could alter soil carbon feedback. Furthermore, the links between root exudates, plant diversity, and microbial respiration are an important component to consider as many studies have shown connections between species richness, microbial activity, and soil carbon storage all of which are susceptible to rapid changes with both climate and land use change (<xref ref-type="bibr" rid="ref95">Zak et al., 2003</xref>; <xref ref-type="bibr" rid="ref48">Lange et al., 2015</xref>; <xref ref-type="bibr" rid="ref82">Steinauer et al., 2016</xref>; <xref ref-type="bibr" rid="ref14">Chen et al., 2019</xref>; <xref ref-type="bibr" rid="ref71">Prommer et al., 2020</xref>). These plant and microbial interactions in the soil represent a diverse array of possible outcomes that depend on human as well as climatic drivers and therefore need to be better characterized so that we can accurately predict carbon stocks and cycling.</p>
</sec>
<sec id="sec13">
<title>Effects of temperature and VWC</title>
<p>Temperature effects on soil CO<sub>2</sub> production are difficult to determine, as many factors co-vary with both temperature and soil CO<sub>2</sub> production (<xref ref-type="bibr" rid="ref33">Han et al., 2007</xref>). In the past, temperature was viewed as a primary driver of soil respiration (<xref ref-type="bibr" rid="ref67">Ouyang et al., 2015</xref>) as it speeds up microbial respiration through its effects on enzyme-mediated reactions (<xref ref-type="bibr" rid="ref18">Conant et al., 2011</xref>). However, there are many confounding influences on soil respiration that may make temperature an indirect and potentially inaccurate determining feature of soil respiration (<xref ref-type="bibr" rid="ref4">Auffret et al., 2016</xref>; <xref ref-type="bibr" rid="ref50">Lei et al., 2023</xref>). The common covariance between temperature and other seasonal changes led to the significant correlation between soil temperature and CO<sub>2</sub> production seen in our data (<xref ref-type="fig" rid="fig7">Figure 7</xref>, <xref ref-type="table" rid="tab2">Table 2</xref>). This is easily seen when we compare hourly to daily and monthly correlations between soil CO<sub>2</sub> production and 20&#x202F;cm soil temperature as R values often double for monthly compared to hourly data (<xref ref-type="table" rid="tab3">Table 3</xref>). Furthermore, despite a correlation existing, the magnitude and direction of this correlation change with depth is not consistent at individual sites through time (<xref ref-type="fig" rid="fig7">Figure 7</xref>, <xref ref-type="supplementary-material" rid="SM2">Supplementary Table 1</xref>). Additionally, during summer months (Jun-Sep) the temperature to CO<sub>2</sub> production correlations become weaker or not statistically significant (<xref ref-type="fig" rid="fig7">Figure 7</xref>). The inconsistency of the temperature and CO<sub>2</sub> production correlation plus the bias in coarser data leads us to similar conclusions as past studies (<xref ref-type="bibr" rid="ref18">Conant et al., 2011</xref>; <xref ref-type="bibr" rid="ref92">Winnick et al., 2020</xref>), which find that temperature is likely not a strong direct driver of soil CO<sub>2</sub> production during summer months. This finding is further supported by the lack of diurnal temperature patterns in the deeper soils despite diurnal CO<sub>2</sub> patterns. Future studies are necessary to explore specific mechanisms related to temperature as the covariations among temperature and other factors pose a large unknown in soil respiration modeling and future climate feedbacks.</p>
<p>Like temperature, VWC does not show a strong correlation to CO<sub>2</sub> production; furthermore, the correlations we do find are inconsistent in both their direction and magnitude (<xref ref-type="fig" rid="fig7">Figure 7</xref>, <xref ref-type="fig" rid="fig9">9</xref>, <xref ref-type="supplementary-material" rid="SM2">Supplementary Table 3</xref>). The nonsignificant effects of VWC are similar to the findings of other research (<xref ref-type="bibr" rid="ref9">Bouma et al., 1997</xref>). This inconsistency suggests that VWC may affect a range of factors that alter CO<sub>2</sub> production, causing differences in the correlation depending on which factors are currently limiting. Furthermore, these inconsistencies in correlations suggest that antecedent conditions play an important role in determining how the system reacts to rain. For example, VWC is not a strong driver of CO<sub>2</sub> production during the summer drought (<xref ref-type="fig" rid="fig9">Figure 9</xref>, <xref ref-type="supplementary-material" rid="SM2">Supplementary Table 3</xref>). This finding is different from past research, which has found that VWC becomes a more important driver of soil CO<sub>2</sub> production with drought, particularly at the expense of plant-related metrics (<xref ref-type="bibr" rid="ref38">Huang et al., 2014</xref>). This divergence from past research might be due to ecosystem differences as these studies were conducted in deciduous forests and mountain meadow environments, or methodological differences such as the timescales of the data. Alternatively, the moderate severity of the drought at our sites could be such that plants were not sufficiently stressed for VWC to become the limiting resource in surface soils.</p>
</sec>
<sec id="sec14">
<title>Event responses</title>
<p>Rain events over the monitoring period were relatively infrequent as the region experienced drought conditions during the summer and fall seasons in 2022 and 2023. However, the data still capture some rain events and show different patterns depending on antecedent conditions. Often, responses to rain in soils are interpreted as a stimulation of microbial respiration (<xref ref-type="bibr" rid="ref32">Griffiths and Birch, 1961</xref>; <xref ref-type="bibr" rid="ref87">Unger et al., 2010</xref>; <xref ref-type="bibr" rid="ref92">Winnick et al., 2020</xref>) however, physical processes play a prominent role in determining the immediate responses to rain events, while biological processes affect respiration hours to days after the event. At the onset of storms in the growing season where soil CO<sub>2</sub> was greater than 5,000&#x202F;ppm and VWC increased, our data showed a rapid drop in CO<sub>2</sub> lowering concentrations by up to 7,000&#x202F;ppm. This drop is interpreted as the equilibration of rainwater with soil gases, resulting in dissolution of soil CO<sub>2</sub> into the aqueous phase (carbonic acid). After a wetting event, soil CO<sub>2</sub> concentration often returned to pre-storm or higher levels within a few hours, reaching a new (often elevated) state which could last hours to days. These responses are due to biological responses often referred to as the Birch effect which describes an increase in microbial activity after a wetting event (<xref ref-type="bibr" rid="ref6">Birch, 1958</xref>; <xref ref-type="bibr" rid="ref32">Griffiths and Birch, 1961</xref>).</p>
<p>Our data show evidence of CO<sub>2</sub> production responses to events during the growing season when the CO<sub>2</sub> concentration responses were much larger. Post-wetting respiration CO<sub>2</sub> concentration responses often appeared to be delayed by hours due to the equilibration of atmospheric rainwater with soil gases. Without the high resolution of our data, these could be misinterpreted as a delay in the microbial response if captured during infrequent sampling, neglecting the buildup of CO<sub>2</sub> in the aqueous phase. As soil CO<sub>2</sub> is dynamic, representing the balance between production within the soils and losses due to diffusion to the atmosphere or from the dissolution of weatherable minerals, these physical controls on soil CO<sub>2</sub> need to be considered when interpreting changes in soil CO<sub>2</sub> concentrations to accurately predict how soil respiration responds to environmental conditions. To mathematically model soil CO<sub>2</sub> production, soil VWC and CO<sub>2</sub> concentration were used to predict the rate at which CO<sub>2</sub> is being produced or consumed (<xref ref-type="bibr" rid="ref22">Davidson and Trumbore, 1995</xref>; <xref ref-type="bibr" rid="ref21">Davidson et al., 2006</xref>; <xref ref-type="bibr" rid="ref81">Steefel et al., 2015</xref>; <xref ref-type="bibr" rid="ref92">Winnick et al., 2020</xref>). This production can then be interpreted as the net result of environmental factors such as microbial respiration rate and the dissolution of weatherable minerals (<xref ref-type="bibr" rid="ref31">Gallagher and Breecker, 2020</xref>). However, this interpretation is incomplete, as CO<sub>2</sub> dissolution into carbonic acid is neglected, this additional sink could be directly accounted for if soil pore water pH was measured. If these models are used without accounting for this sink, the rate of soil respiration and the magnitude of the response to wetting events would be underestimated by the magnitude of this sink.</p>
</sec>
<sec id="sec15">
<title>Agricultural vs. prairie</title>
<p>Previous studies have shown that plant growth stage plays an important role in how soil respiration reacts to changes in temperature and VWC (<xref ref-type="bibr" rid="ref23">DeForest et al., 2006</xref>; <xref ref-type="bibr" rid="ref92">Winnick et al., 2020</xref>). Here we find that this role is amplified in prairie environments and that plant mediation of soil respiration shows distinct differences in the magnitude of CO<sub>2</sub> production between agriculture and prairie environments. This is seen in the stronger correlations between NDVI and CO<sub>2</sub> production at prairie in the NE sites. Additionally, larger variability of CO<sub>2</sub> concentration and significantly higher mean CO<sub>2</sub> concentrations in spring and fall months were noted in the NE prairie site. These differences were likely due to the ability of the PR sites to respond more readily to favorable conditions during colder months as the plant composition is more diverse and made up of primarily perennial species (<xref ref-type="bibr" rid="ref70">Prairie et al., 1993</xref>; <xref ref-type="bibr" rid="ref16">Chimner and Welker, 2005</xref>; <xref ref-type="bibr" rid="ref69">Polley et al., 2005</xref>; <xref ref-type="bibr" rid="ref42">Johnson et al., 2008</xref>). In contrast, agricultural soils are planted with an annual monoculture that is harvested in the fall for the winter and planted again in late spring, reducing the ability of soil microbes to respond to favorable conditions as plant roots and associated exudates are not present. Beyond the differences in the plant communities, the lack of ground cover in agricultural sites leads to often colder soils in the fall and winter, likely minimizing the microbial response during colder months. In the summer months, we note significantly higher CO<sub>2</sub> production in prairie sites.</p>
</sec>
</sec>
<sec sec-type="conclusions" id="sec16">
<title>Conclusion</title>
<p>Our study highlights the critical role of plants in driving soil CO<sub>2</sub> dynamics in midwestern agriculture and prairie soils. It underscores the influence of plant-mediated soil respiration at sub daily timescales to depths of 1.8&#x202F;m. It also shows the importance of considering CO<sub>2</sub> dissolution following rain events in interpretations of CO2 production data. Rain events induced a physical response through an immediate dilution effect on CO<sub>2</sub> concentrations, followed by a biological increase. Soil CO<sub>2</sub> concentration and production were correlated most strongly NDVI and solar radiation rather than soil temperature. Within the soils CO<sub>2</sub> had a diurnal oscillation, with a 12-h offset from solar radiation during the growing season matching transport times within prairie grasses. Additionally, these oscillations of CO<sub>2</sub> persisted to significant depths, and are decoupled from temperature oscillations which did not propagate past 20&#x202F;cm. Furthermore, we find that prairie soils exhibited higher CO<sub>2</sub> production rates than agricultural soils, likely driven by the greater diversity of the prairie plant community.</p>
<p>Future research should investigate the specific contributions of root-mediated microbial respiration to soil CO<sub>2</sub> production using surface gas flux chambers and isotopic measurements. Additionally, assessing both the quantity and quality of soil carbon across diverse plant communities, will elucidate the mechanisms driving observed patterns. Additionally, the effects of data resolution should be further investigated to understand how current data collection practices alter CO<sub>2</sub> predictions including how measurement frequency can be considered when designing studies that look to understand the controls of soil CO<sub>2</sub> respiration. Furthermore, understanding how shifts in plant community composition affect soil CO<sub>2</sub> dynamics under changing environmental conditions is critical for predicting ecosystem feedbacks to climate change. This study advances our understanding of soil CO<sub>2</sub> dynamics and the interplay between biological and physical drivers through high resolution data, and provides critical insights into an often underexplored component of the carbon cycle. These findings underscore the urgency of integrating soil&#x2013;plant interactions into climate models to better predict ecosystem responses to environmental change.</p>
</sec>
</body>
<back>
<sec sec-type="data-availability" id="sec17">
<title>Data availability statement</title>
<p>Original datasets are available in a publicly accessible repository: <ext-link xlink:href="https://www.hydroshare.org/resource/405c8669069147b690c04b7063cad6ce/" ext-link-type="uri">https://www.hydroshare.org/resource/405c8669069147b690c04b7063cad6ce/</ext-link>.</p>
</sec>
<sec sec-type="author-contributions" id="sec18">
<title>Author contributions</title>
<p>BS: Conceptualization, Data curation, Formal analysis, Methodology, Visualization, Writing &#x2013; review &#x0026; editing. AD: Writing &#x2013; review &#x0026; editing, Supervision, Resources, Data curation, Conceptualization. AG: Writing &#x2013; review &#x0026; editing, Methodology. JD: Writing &#x2013; review &#x0026; editing. LW: Writing &#x2013; review &#x0026; editing. NB: Writing &#x2013; review &#x0026; editing. EB: Writing &#x2013; review &#x0026; editing, Data curation, Resources. JH: Resources, Writing &#x2013; review &#x0026; editing, Data curation. MJ-C: Data curation, Writing &#x2013; review &#x0026; editing, Resources. TF: Writing &#x2013; review &#x0026; editing. PK: Resources, Writing &#x2013; review &#x0026; editing, Project administration, Funding acquisition.</p>
</sec>
<sec sec-type="funding-information" id="sec19">
<title>Funding</title>
<p>The author(s) declare that financial support was received for the research and/or publication of this article. We acknowledge National Science Foundation (NSF) Grant EAR #2012850 (PI P. Kumar) for the Critical Interface Network for Intensively Managed Landscapes (CINet).</p>
</sec>
<sec sec-type="COI-statement" id="sec20">
<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="ai-statement" id="sec21">
<title>Generative AI statement</title>
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