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<front>
<journal-meta>
<journal-id journal-id-type="publisher-id">Front. For. Glob. Change</journal-id>
<journal-title-group>
<journal-title>Frontiers in Forests and Global Change</journal-title>
<abbrev-journal-title abbrev-type="pubmed">Front. For. Glob. Change</abbrev-journal-title>
</journal-title-group>
<issn pub-type="epub">2624-893X</issn>
<publisher>
<publisher-name>Frontiers Media S.A.</publisher-name>
</publisher>
</journal-meta>
<article-meta>
<article-id pub-id-type="doi">10.3389/ffgc.2025.1654883</article-id><article-version article-version-type="Version of Record" vocab="NISO-RP-8-2008"/>
<article-categories>
<subj-group subj-group-type="heading"><subject>Original Research</subject></subj-group>
</article-categories>
<title-group>
<article-title>Radiocarbon-derived ages of carbon in live, dead, and newly emerged fine roots in a cool-temperate Japanese beech forest</article-title>
</title-group>
<contrib-group>
<contrib contrib-type="author" corresp="yes">
<name>
<surname>Koarashi</surname>
<given-names>Jun</given-names>
</name>
<xref ref-type="aff" rid="aff1"><sup>1</sup></xref>
<xref ref-type="corresp" rid="c001"><sup>&#x002A;</sup></xref>
<uri xlink:href="https://loop.frontiersin.org/people/3114574"/>
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<role vocab="credit" vocab-identifier="https://credit.niso.org/" vocab-term="Formal analysis" vocab-term-identifier="https://credit.niso.org/contributor-roles/formal-analysis/">Formal analysis</role>
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</contrib>
<contrib contrib-type="author">
<name>
<surname>Atarashi-Andoh</surname>
<given-names>Mariko</given-names>
</name>
<xref ref-type="aff" rid="aff1"><sup>1</sup></xref>
<uri xlink:href="https://loop.frontiersin.org/people/2338297"/>
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</contrib>
<contrib contrib-type="author">
<name>
<surname>Ishizuka</surname>
<given-names>Shigehiro</given-names>
</name>
<xref ref-type="aff" rid="aff2"><sup>2</sup></xref>
<role vocab="credit" vocab-identifier="https://credit.niso.org/" vocab-term="investigation" vocab-term-identifier="https://credit.niso.org/contributor-roles/investigation/">Investigation</role>
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</contrib>
<contrib contrib-type="author">
<name>
<surname>Noguchi</surname>
<given-names>Kyotaro</given-names>
</name>
<xref ref-type="aff" rid="aff3"><sup>3</sup></xref>
<uri xlink:href="https://loop.frontiersin.org/people/75803"/>
<role vocab="credit" vocab-identifier="https://credit.niso.org/" vocab-term="Writing &#x2013; review &amp; editing" vocab-term-identifier="https://credit.niso.org/contributor-roles/writing-review-editing/">Writing &#x2013; review &#x0026; editing</role>
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</contrib>
<contrib contrib-type="author">
<name>
<surname>Kadono</surname>
<given-names>Atsunobu</given-names>
</name>
<xref ref-type="aff" rid="aff4"><sup>4</sup></xref>
<role vocab="credit" vocab-identifier="https://credit.niso.org/" vocab-term="Writing &#x2013; review &amp; editing" vocab-term-identifier="https://credit.niso.org/contributor-roles/writing-review-editing/">Writing &#x2013; review &#x0026; editing</role>
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</contrib>
<contrib contrib-type="author">
<name>
<surname>Nakayama</surname>
<given-names>Masataka</given-names>
</name>
<xref ref-type="aff" rid="aff5"><sup>5</sup></xref>
<uri xlink:href="https://loop.frontiersin.org/people/3114638"/>
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<aff id="aff1"><label>1</label><institution>Nuclear Science and Engineering Center, Japan Atomic Energy Agency</institution>, <city>Ibaraki</city>, <country country="jp">Japan</country></aff>
<aff id="aff2"><label>2</label><institution>Research Planning Department, Forestry and Forest Products Research Institute</institution>, <city>Ibaraki</city>, <country country="jp">Japan</country></aff>
<aff id="aff3"><label>3</label><institution>Department of Forest Soils, Forestry and Forest Products Research Institute</institution>, <city>Ibaraki</city>, <country country="jp">Japan</country></aff>
<aff id="aff4"><label>4</label><institution>Faculty of Environmental Studies, Tottori University of Environmental Studies</institution>, <city>Tottori</city>, <country country="jp">Japan</country></aff>
<aff id="aff5"><label>5</label><institution>Arid Land Research Center, Tottori University</institution>, <city>Tottori</city>, <country country="jp">Japan</country></aff>
<author-notes><corresp id="c001"><label>&#x002A;</label>Correspondence: Jun Koarashi, <email xlink:href="mailto:koarashi.jun@jaea.go.jp">koarashi.jun@jaea.go.jp</email></corresp></author-notes>
<pub-date publication-format="electronic" date-type="pub" iso-8601-date="2025-11-20">
<day>20</day>
<month>11</month>
<year>2025</year>
</pub-date>
<pub-date publication-format="electronic" date-type="collection">
<year>2025</year>
</pub-date>
<volume>8</volume>
<elocation-id>1654883</elocation-id>
<history>
<date date-type="received">
<day>27</day>
<month>06</month>
<year>2025</year>
</date>
<date date-type="accepted">
<day>23</day>
<month>10</month>
<year>2025</year>
</date>
</history>
<permissions>
<copyright-statement>Copyright &#x00A9; 2025 Koarashi, Atarashi-Andoh, Ishizuka, Noguchi, Kadono and Nakayama.</copyright-statement>
<copyright-year>2025</copyright-year>
<copyright-holder>Koarashi, Atarashi-Andoh, Ishizuka, Noguchi, Kadono and Nakayama</copyright-holder>
<license><ali:license_ref start_date="2025-11-20">https://creativecommons.org/licenses/by/4.0/</ali:license_ref>
<license-p>This is an open-access article distributed under the terms of the <ext-link ext-link-type="uri" xlink:href="https://creativecommons.org/licenses/by/4.0/">Creative Commons Attribution License (CC BY)</ext-link>. 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.</license-p>
</license>
</permissions>
<abstract>
<p>Forest ecosystems play a crucial role as natural carbon (C) sinks, and preserving this function is key to mitigating climate change. However, the forest C dynamics, particularly those related to the production and turnover of fine roots (&#x003C;2&#x202F;mm in diameter), remain largely unclear. Here, we examined the age of C in fine roots in a cool-temperate Japanese beech forest by measuring the natural abundance of radiocarbon (<sup>14</sup>C). Root samples were collected and categorized by diameter size class and live/dead status. Newly emerged roots were also obtained using an ingrowth mesh bag method. The mean ages of C in existing fine roots were estimated to be 5&#x2013;23&#x202F;years for live roots and 1&#x2013;34&#x202F;years for dead roots, respectively. In contrast, the <sup>14</sup>C signatures of newly emerged roots indicated the use of current-year photosynthetic products for new root production. Given the negligible time lag between photosynthetic C fixation and the use of the fixed C for new root production, the observed ages for live fine root C suggest that plants use current-year photosynthetic products to produce new roots but utilize older (<sup>14</sup>C-enriched) internally stored C to support subsequent root growth, and/or that some fine roots live for many years. The age of live fine root C increased with diameter size class and branch order in branching root systems, supporting both of these processes. Our results provide a piece of knowledge to comprehensively understand belowground C allocation processes in plants and highlight that tracking changes in the <sup>14</sup>C signature of fine roots, as well as root biomass, in relation to root development stages would be beneficial for separating these processes and quantifying the heterogeneity of fine root dynamics, encompassing both ephemeral and long-lived roots.</p>
</abstract>
<kwd-group>
<kwd>fine root turnover</kwd>
<kwd>age of carbon in fine roots</kwd>
<kwd>radiocarbon (<sup>14</sup>C) signature</kwd>
<kwd>diameter size class</kwd>
<kwd>belowground allocation processes</kwd>
<kwd>forest carbon dynamics</kwd>
</kwd-group><funding-group><funding-statement>The author(s) declare that financial support was received for the research and/or publication of this article. This work was supported by the Japan Society for the Promotion of Science (JSPS) KAKENHI (grant numbers 19510024 and 20710016).</funding-statement></funding-group>
<counts>
<fig-count count="2"/>
<table-count count="3"/>
<equation-count count="1"/>
<ref-count count="60"/>
<page-count count="10"/>
<word-count count="9009"/>
</counts>
<custom-meta-group>
<custom-meta>
<meta-name>section-at-acceptance</meta-name>
<meta-value>Forest Soils</meta-value>
</custom-meta>
</custom-meta-group>
</article-meta>
</front>
<body>
<sec sec-type="intro" id="sec1">
<label>1</label>
<title>Introduction</title>
<p>Forest ecosystems, the largest terrestrial reservoir of carbon (C) in the global C cycle, are crucial in regulating the Earth&#x2019;s climate (<xref ref-type="bibr" rid="ref38">Pan et al., 2011</xref>; <xref ref-type="bibr" rid="ref24">IPCC, 2022</xref>). Forest ecosystems absorb carbon dioxide (CO<sub>2</sub>) from the atmosphere through primary production and store the absorbed C as live (plant biomass) and dead (soil) organic material over extended periods (<xref ref-type="bibr" rid="ref3">Binkley and Fisher, 2020</xref>). The global gross C sink of forests is 3.6 Pg C y<sup>&#x2212;1</sup> (<xref ref-type="bibr" rid="ref39">Pan et al., 2024</xref>), which represents roughly half of the annual global CO<sub>2</sub> emission from fossil fuel combustion (<xref ref-type="bibr" rid="ref18">Harris et al., 2021</xref>; <xref ref-type="bibr" rid="ref39">Pan et al., 2024</xref>). As climate change risks escalate due to human activities, the potential of forest ecosystems to mitigate climate change through C offsets has gained significant global attention (<xref ref-type="bibr" rid="ref55">van Kooten and Johnston, 2016</xref>). However, this potential of forest C sequestration remains highly uncertain, mainly due to a lack of quantitative evaluation of C dynamics in forest ecosystems (<xref ref-type="bibr" rid="ref41">Pugh et al., 2020</xref>). An improved understanding of these C dynamics is essential for maintaining and enhancing the C sink function of forests as a nature-based solution for mitigating climate change.</p>
<p>Plant biomass produced through net primary production (NPP) is allocated to both aboveground (stem, branches, and leaves) and belowground (root crown and lateral roots) biomass. This biomass allocation is a key factor in assessing the C sequestration potential of forest ecosystems. Although biomass allocation patterns reflect plant growth, survival, and adaptation strategies, and are largely influenced by climatic, ecological, and nutrient conditions (<xref ref-type="bibr" rid="ref42">Qi et al., 2019</xref>; <xref ref-type="bibr" rid="ref60">Zhou et al., 2022</xref>), studies have consistently shown that plants allocate a significant proportion (&#x003E;30%) of NPP to the production and growth of fine roots (diameter: &#x003C;2&#x202F;mm) belowground (<xref ref-type="bibr" rid="ref26">Jackson et al., 1997</xref>; <xref ref-type="bibr" rid="ref32">Matamala et al., 2003</xref>; <xref ref-type="bibr" rid="ref9">Fernandez-Tschieder et al., 2024</xref>). Fine roots, being a dynamic component of the plant root system, play a crucial role in the forest C dynamics through belowground C input, cycling, and the formation of soil organic matter (SOM) (<xref ref-type="bibr" rid="ref54">Trumbore and Gaudinski, 2003</xref>). However, knowledge about belowground biomass dynamics is still lacking because unlike aboveground processes, belowground processes are hidden and thus difficult to observe directly.</p>
<p>Many studies based on direct observation have used ingrowth cores, sequential soil coring, minirhizotrons, and litter bags to establish fine root dynamics (biomass and neuromas as well as rates of production, turnover, and decomposition after death) in various forest ecosystems (<xref ref-type="bibr" rid="ref14">Gill and Jackson, 2000</xref>). Fine root lifetimes vary from days to years (<xref ref-type="bibr" rid="ref8">Eissenstat and Yanai, 1997</xref>; <xref ref-type="bibr" rid="ref33">McCormack et al., 2012</xref>; <xref ref-type="bibr" rid="ref6">Ding et al., 2019</xref>), depending on factors such as soil depth (<xref ref-type="bibr" rid="ref4">Burton et al., 2000</xref>), root diameter size class (<xref ref-type="bibr" rid="ref14">Gill and Jackson, 2000</xref>), root branch order (<xref ref-type="bibr" rid="ref7">Eissenstat et al., 2000</xref>; <xref ref-type="bibr" rid="ref34">McCormack et al., 2015</xref>), and environmental conditions (<xref ref-type="bibr" rid="ref31">Kwatcho Kengdo et al., 2023</xref>; <xref ref-type="bibr" rid="ref5">Conroy et al., 2025</xref>). Fine root lifetimes of a few years are typically estimated based on conventional steady-state mass balance calculations (i.e., by dividing the biomass of fine live roots by the annual rate of fine root production determined through direct observation) (<xref ref-type="bibr" rid="ref14">Gill and Jackson, 2000</xref>; <xref ref-type="bibr" rid="ref52">Tierney and Fahey, 2002</xref>; <xref ref-type="bibr" rid="ref37">Noguchi et al., 2007</xref>). While soil microbes rapidly decompose a significant portion of dead fine roots within months, the remainder is decomposed slowly over years (<xref ref-type="bibr" rid="ref51">Sun et al., 2013</xref>; <xref ref-type="bibr" rid="ref57">Wu et al., 2022</xref>). However, because of methodological limitations, these direct observation approaches primarily focus on the most dynamic part of fine roots (i.e., typically apical, ephemeral first-order roots) and struggle to capture the full picture of fine root dynamics, especially for larger, more highly branched fine roots (<xref ref-type="bibr" rid="ref16">Guo et al., 2008</xref>; <xref ref-type="bibr" rid="ref40">Pritchard and Strand, 2008</xref>). A key limitation is the difficulty in achieving long-term, continuous, <italic>in situ</italic> monitoring of root growth and death for the whole root system.</p>
<p>Isotopic approaches, utilizing radiocarbon (<sup>14</sup>C) measurements of fine root tissues, offer a valuable tool for evaluating the belowground C allocation processes in plants (<xref ref-type="bibr" rid="ref13">Gaudinski et al., 2001</xref>; <xref ref-type="bibr" rid="ref54">Trumbore and Gaudinski, 2003</xref>; <xref ref-type="bibr" rid="ref40">Pritchard and Strand, 2008</xref>). The <sup>14</sup>C content of CO<sub>2</sub> in the atmosphere nearly doubled in the early 1960s due to the production of <sup>14</sup>C (bomb <sup>14</sup>C) from atmospheric nuclear weapons testing and has declined gradually since the Nuclear Test Ban Treaty in 1963 (<xref ref-type="bibr" rid="ref23">Hua et al., 2022</xref>). Given this temporal change in the <sup>14</sup>C content of atmospheric CO<sub>2</sub>, the <sup>14</sup>C content of roots provides an estimate of how long C has been retained in the plant since the photosynthetic fixation of CO<sub>2</sub> from the atmosphere (<xref ref-type="bibr" rid="ref13">Gaudinski et al., 2001</xref>). Studies based on <sup>14</sup>C measurements have revealed that the presence of C in fine roots exceeding 10&#x202F;years in age (<xref ref-type="bibr" rid="ref13">Gaudinski et al., 2001</xref>; <xref ref-type="bibr" rid="ref54">Trumbore and Gaudinski, 2003</xref>; <xref ref-type="bibr" rid="ref53">Trumbore et al., 2006</xref>; <xref ref-type="bibr" rid="ref47">Solly et al., 2018</xref>).</p>
<p>Applying only <sup>14</sup>C measurements to live fine roots potentially overestimates fine root lifetimes because of two reasons. First, trees can utilize stored C to produce and grow roots (<xref ref-type="bibr" rid="ref32">Matamala et al., 2003</xref>; <xref ref-type="bibr" rid="ref56">Vargas et al., 2009</xref>; <xref ref-type="bibr" rid="ref45">Sah et al., 2011</xref>). Second, isotopic approaches, in contrast to direct observation approaches, tend to focus on larger, higher-branch-order roots, which are more readily collected from soil samples for analysis (<xref ref-type="bibr" rid="ref16">Guo et al., 2008</xref>; <xref ref-type="bibr" rid="ref40">Pritchard and Strand, 2008</xref>). Consequently, despite employing various approaches, the dynamics of fine roots&#x2014;particularly the heterogeneity of the fine root population and its lifetime&#x2014;remains poorly understood (<xref ref-type="bibr" rid="ref11">Gaudinski et al., 2010</xref>), representing a significant uncertainty in quantifying forest C dynamics (<xref ref-type="bibr" rid="ref41">Pugh et al., 2020</xref>; <xref ref-type="bibr" rid="ref9">Fernandez-Tschieder et al., 2024</xref>). A combination of isotope, ingrowth methods, and fine root classification (<xref ref-type="bibr" rid="ref28">Joslin et al., 2006</xref>; <xref ref-type="bibr" rid="ref47">Solly et al., 2018</xref>) can provide a more comprehensive and robust assessment (<xref ref-type="bibr" rid="ref12">Gaudinski et al., 2009</xref>; <xref ref-type="bibr" rid="ref45">Sah et al., 2011</xref>).</p>
<p>This study aimed to evaluate the age of C in fine roots using a <sup>14</sup>C-based approach to existing fine roots and newly emerged roots. We collected samples of fine root, including branching fine root systems, in a cool-temperate deciduous broadleaved forest in Japan. The root samples were categorized according to diameter size class (linking with branch order) and live/dead status. Additionally, we captured newly emerged fine roots using ingrowth mesh bags installed in the soil for approximately 3&#x202F;months during the growing season. The root samples were analyzed for <sup>14</sup>C content to estimate the age of C in fine roots with different morphological properties.</p>
</sec>
<sec sec-type="materials|methods" id="sec2">
<label>2</label>
<title>Materials and methods</title>
<sec id="sec3">
<label>2.1</label>
<title>Study site</title>
<p>This study was conducted at the Appi forest meteorological research site (40.00&#x00B0;N, 140.56&#x00B0;E; 825&#x202F;m above sea level), an Asia Flux observation site in Iwate prefecture, Japan. The forest is dominated by 70&#x2013;80-year-old Japanese beech (<italic>Fagus crenata</italic>) with no understory vegetation (<xref ref-type="bibr" rid="ref30">Koarashi et al., 2009</xref>), and is located in a cool-temperate zone. Permission to collect plant samples was obtained from the Forestry Agency of Japan. <italic>Fagus crenata</italic> was identified by KN and voucher specimens were deposited at the Japan Atomic Energy Agency (Voucher ID: JAEA-APP001). New leaves of Japanese beech begin expanding in May, and leaf fall occurs in November (<xref ref-type="bibr" rid="ref2">Atarashi-Andoh et al., 2012</xref>). Mean annual temperature and precipitation are 6.1&#x202F;&#x00B0;C and 1,207&#x202F;mm, respectively (<xref ref-type="bibr" rid="ref25">Ishizuka et al., 2006</xref>). Snow cover occurs from November to May, with a maximum depth of 2&#x202F;m. The soil is classified as Andosol (<xref ref-type="bibr" rid="ref25">Ishizuka et al., 2006</xref>) and stores ~11&#x202F;kg C m<sup>&#x2212;2</sup> of C as soil organic C in the upper 20&#x202F;cm of mineral soil (<xref ref-type="bibr" rid="ref30">Koarashi et al., 2009</xref>). Plant roots are mostly present in the upper 25&#x202F;cm of the soil (<xref ref-type="bibr" rid="ref35">Nakanishi et al., 2012</xref>).</p>
<p>Annual net ecosystem production (NEP) and heterotrophic respiration (CO<sub>2</sub> emission through microbial decomposition of SOM) at the Appi forest site have been reported as 312&#x202F;&#x00B1;&#x202F;64&#x202F;g C m<sup>&#x2212;2</sup> y<sup>&#x2212;1</sup> (<xref ref-type="bibr" rid="ref58">Yasuda et al., 2012</xref>) and 497&#x202F;g C m<sup>&#x2212;2</sup> y<sup>&#x2212;1</sup> (<xref ref-type="bibr" rid="ref2">Atarashi-Andoh et al., 2012</xref>), respectively, which were measured in 2000&#x2013;2006 using the eddy covariance method and in 2007&#x2013;2008 using the closed chamber method with <sup>14</sup>C-based source partitioning, respectively. Hence, at this site, NPP can be estimated to be ~810&#x202F;g C m<sup>&#x2212;2</sup> y<sup>&#x2212;1</sup>. The fine root production rate of 233&#x202F;&#x00B1;&#x202F;35&#x202F;g&#x202F;m<sup>&#x2212;2</sup> y<sup>&#x2212;1</sup> (<italic>N</italic>&#x202F;=&#x202F;12) was evaluated for the upper 20&#x202F;cm soil layer using a net sheet method from October 2012 to October 2013 (Noguchi et al., unpublished data).</p>
</sec>
<sec id="sec4">
<label>2.2</label>
<title>Root sampling</title>
<p>Root samples were collected using the following three investigations to assess depth-, diameter-, live/dead statist-, and age-related variations in fine-root <sup>14</sup>C signatures. The first investigation was conducted in July 2005 to determine the mass and <sup>14</sup>C signatures of fine roots (&#x003C;2&#x202F;mm in diameter) by depth. After the litter layer was removed, two soil cores were obtained from the mineral soil surface using a core sampler (5&#x202F;cm in diameter and 20&#x202F;cm in length) (<xref ref-type="bibr" rid="ref30">Koarashi et al., 2009</xref>). The soil cores were frozen and divided into 2-cm-thick layers in the laboratory, and soil samples were dried at 50&#x202F;&#x00B0;C. All visible fine roots in the soil samples were collected using tweezers. The root samples were processed via ultrasonic washing in ultrapure water to remove adherent soil particles, dried at 50&#x202F;&#x00B0;C, and weighed. The root samples collected in this investigation were not classified into live and dead roots but were considered bulk (mixed live and dead) root samples.</p>
<p>Building on the depth profiles obtained in the first investigation (see section of Results), the second investigation was conducted in May 2007 to explore potential influences of diameter-size classes and live/dead status of roots on <sup>14</sup>C signatures. This investigation aimed to determine the mass and <sup>14</sup>C signatures of roots by diameter size class and live/dead status. A soil core was obtained in the same manner as that in the first investigation, but a larger core sampler (9.5&#x202F;cm in diameter and 25&#x202F;cm in length) was used because it has the advantage of collecting intact branching root systems. The soil core was frozen and divided into five layers at a 5-cm depth interval in the laboratory. Soil samples were defrosted, immersed, and dispersed in water trays. All visible roots were collected and sorted based on the diameter size class (&#x003C;0.5, 0.5&#x2013;1, 1&#x2013;2, and 2&#x2013;5&#x202F;mm in diameter) and live/dead status of roots. Root diameter was measured using a ruler. Live and dead roots were distinguished based on color, density, tensile strength, and surface texture (<xref ref-type="bibr" rid="ref28">Joslin et al., 2006</xref>; <xref ref-type="bibr" rid="ref56">Vargas et al., 2009</xref>).</p>
<p>In the second investigation, we collected four and five portions of branching fine root systems from 0 to 5- and 5&#x2013;10-cm layers of the soil core, respectively. Three examples of branching fine root systems are illustrated in <xref ref-type="fig" rid="fig1">Figure 1</xref>. For <sup>14</sup>C analysis of live roots, we used samples from fine root systems, as these roots are living and enable the evaluation of <sup>14</sup>C results by linking diameter size class with the branch order of roots in a live-root system. Roots were collected separately according to the diameter size class from each root system. However, obtaining a sufficient amount of root samples for <sup>14</sup>C analysis for each diameter size class from a single branching root system was challenging. Therefore, root samples from multiple root systems were mixed to make a composite sample for each diameter size class. Roots separated into &#x003C;0.5-, 0.5&#x2013;1-, and 1&#x2013;2-mm diameter size classes comprised first- and second-order roots, second- and third-order roots, and third- and fourth-order roots, respectively. The root samples were ultrasonically washed, dried, and weighed as previously described.</p>
<fig position="float" id="fig1">
<label>Figure 1</label>
<caption>
<p>Illustrations showing branching of live fine-root systems excavated from the 0&#x2013;5-cm <bold>(a)</bold> and 5&#x2013;10-cm <bold>(b,c)</bold> soil layers.</p>
</caption>
<graphic xlink:href="ffgc-08-1654883-g001.tif" mimetype="image" mime-subtype="tiff">
<alt-text content-type="machine-generated">Diagram showing three branching structures labeled (a), (b), and (c), each with varying diameters. Structure (a) ranges from less than 0.5 millimeters to 2 millimeters, structure (b) ranges from less than 0.5 millimeters to 1 millimeter, and structure (c) ranges from less than 0.5 millimeters to 1-2 millimeters. Arrows indicate specific diameters at different points on the branches.</alt-text>
</graphic>
</fig>
<p>The third investigation was conducted in 2008 using ingrowth mesh bags to trap newly emerged fine roots and determine their <sup>14</sup>C signatures. Six ingrowth mesh bags were prepared, of which three were filled with root-free sand, two with perlite (an amorphous volcanic glass), and one with fine-glass beads. The ingrowth mesh bag measured roughly 5&#x202F;cm in diameter and 40&#x202F;cm in length. The bags were placed between the litter and mineral soil layers on July 30 and retrieved on November 6 (99&#x202F;days after installation). Only roots (or root segments) located inside the bags were collected, ultrasonically washed, and dried in the laboratory.</p>
</sec>
<sec id="sec5">
<label>2.3</label>
<title>Radiocarbon analysis</title>
<p>The <sup>14</sup>C content of root samples was measured following the method described by <xref ref-type="bibr" rid="ref30">Koarashi et al. (2009)</xref>. Briefly, root samples were combusted with copper oxide under vacuum, generating CO<sub>2</sub>. The CO<sub>2</sub> was then purified using liquid nitrogen and liquid nitrogen&#x2013;ethanol slush traps in a vacuum line and subsequently converted into graphite through catalytic reduction with hydrogen gas. The resulting graphite was analyzed for <sup>14</sup>C content using an accelerator mass spectrometer (AMS) at JAEA-AMS-MUTSU. The measured values of <sup>14</sup>C are reported as &#x0394;<sup>14</sup>C, the per mil (&#x2030;) deviation of the <sup>14</sup>C/<sup>12</sup>C ratio of the sample from that of the absolute <sup>14</sup>C standard in 1950, with correction for mass-dependent isotopic fractionation to a common &#x03B4;<sup>13</sup>C value of &#x2212;25&#x2030; (<xref ref-type="bibr" rid="ref50">Stuiver and Polach, 1977</xref>). In the AMS-<sup>14</sup>C measurement, the analytical uncertainty of the &#x0394;<sup>14</sup>C value was 4&#x2013;7&#x2030; (at one standard deviation). Soil samples collected in July 2005 were also analyzed for <sup>14</sup>C content using the same method.</p>
</sec>
<sec id="sec6">
<label>2.4</label>
<title>Estimating the mean C age of the roots</title>
<p>The mean C age of the roots was estimated based on the <sup>14</sup>C signature using two approaches proposed by <xref ref-type="bibr" rid="ref13">Gaudinski et al. (2001)</xref>. The first approach assumes that no new C is supplied to the roots (or root segments) once they are produced. Under this assumption, the mean C age of the roots can be estimated simply by comparing the &#x0394;<sup>14</sup>C value of roots with the record of &#x0394;<sup>14</sup>C value of atmospheric CO<sub>2</sub> (<xref ref-type="bibr" rid="ref13">Gaudinski et al., 2001</xref>; <xref ref-type="bibr" rid="ref56">Vargas et al., 2009</xref>; <xref ref-type="bibr" rid="ref45">Sah et al., 2011</xref>). <sup>14</sup>C data reported by <xref ref-type="bibr" rid="ref23">Hua et al. (2022)</xref> for the northern hemisphere (zone 2) were used as the record of the &#x0394;<sup>14</sup>C value of atmospheric CO<sub>2</sub> at the study site.</p>
<p>The second approach assumes that roots consist of multiple roots (or root segments) produced over years, with each segment turning over at the same rate (i.e., they have the same production and mortality rates). Under this assumption, the mean C age of the roots can be estimated using a time-dependent, steady-state, single-pool model (<xref ref-type="bibr" rid="ref13">Gaudinski et al., 2001</xref>; <xref ref-type="bibr" rid="ref53">Trumbore et al., 2006</xref>; <xref ref-type="bibr" rid="ref48">Solly et al., 2013</xref>) as follows:<disp-formula id="E1">

<mml:math id="M1">
<mml:msub>
<mml:mi>F</mml:mi>
<mml:mtext mathvariant="italic">root</mml:mtext>
</mml:msub>
<mml:mo stretchy="true">(</mml:mo>
<mml:mi>t</mml:mi>
<mml:mo stretchy="true">)</mml:mo>
<mml:mo>=</mml:mo>
<mml:mi>k</mml:mi>
<mml:mo>&#x22C5;</mml:mo>
<mml:msub>
<mml:mi>F</mml:mi>
<mml:mi mathvariant="italic">atm</mml:mi>
</mml:msub>
<mml:mo stretchy="true">(</mml:mo>
<mml:mi>t</mml:mi>
<mml:mo stretchy="true">)</mml:mo>
<mml:mo>+</mml:mo>
<mml:msub>
<mml:mi>F</mml:mi>
<mml:mtext mathvariant="italic">root</mml:mtext>
</mml:msub>
<mml:mo stretchy="true">(</mml:mo>
<mml:mi>t</mml:mi>
<mml:mo>&#x2212;</mml:mo>
<mml:mn>1</mml:mn>
<mml:mo stretchy="true">)</mml:mo>
<mml:mo>&#x22C5;</mml:mo>
<mml:mo stretchy="true">(</mml:mo>
<mml:mn>1</mml:mn>
<mml:mo>&#x2212;</mml:mo>
<mml:mi>k</mml:mi>
<mml:mo>&#x2212;</mml:mo>
<mml:mi>&#x03BB;</mml:mi>
<mml:mo stretchy="true">)</mml:mo>
</mml:math>
<label>(1)</label></disp-formula>where <italic>F<sub>root</sub></italic>(<italic>t</italic>) is the fraction modern of C (FMC; equivalent to &#x0394;<sup>14</sup>C/1,000&#x202F;+&#x202F;1) in root C at year <italic>t</italic>; <italic>F<sub>atm</sub></italic>(<italic>t</italic>) is the FMC in CO<sub>2</sub> in the atmosphere at year <italic>t</italic>, <italic>F<sub>root</sub></italic>(<italic>t</italic>&#x202F;&#x2212;&#x202F;1) is the FMC in root C at year <italic>t</italic>&#x202F;&#x2212;&#x202F;1, <italic>k</italic> is the turnover time (y<sup>&#x2212;1</sup>) for root C, and <italic>&#x03BB;</italic> is the radioactive decay constant for <sup>14</sup>C (1.21&#x202F;&#x00D7;&#x202F;10<sup>&#x2212;4</sup> y<sup>&#x2212;1</sup>). In this model, the atmospheric &#x0394;<sup>14</sup>C record of CO<sub>2</sub> reported by <xref ref-type="bibr" rid="ref23">Hua et al. (2022)</xref> was used as <italic>F<sub>atm</sub></italic>(<italic>t</italic>) values for the period 1950&#x2013;2007.</p>
<p>Hence, the relationships between the mean age and &#x0394;<sup>14</sup>C value of root C were derived based on the two approaches, respectively (<xref ref-type="supplementary-material" rid="SM1">Supplementary Figure S1</xref>). The estimates of the C age of the roots in 2007 were consistent between the two approaches for age &#x003C;16&#x202F;years, as reported by other studies (<xref ref-type="bibr" rid="ref13">Gaudinski et al., 2001</xref>; <xref ref-type="bibr" rid="ref53">Trumbore et al., 2006</xref>; <xref ref-type="bibr" rid="ref10">Fr&#x00F6;berg, 2012</xref>). The second approach (<xref ref-type="disp-formula" rid="E1">Equation 1</xref>) did not provide a unique solution for &#x0394;<sup>14</sup>C values greater than 161&#x2030; and could not estimate the C age of the roots for these samples. For live roots, the mean C age of the roots estimated using this approach reflects the time elapsed since C was fixed from the atmosphere through photosynthesis, including the period that C was stored in the plant before root production and the time C spent in the live root (<xref ref-type="bibr" rid="ref13">Gaudinski et al., 2001</xref>). For dead roots, the estimated age also includes the time C resided in the soil after root death. For bulk (mixed live and dead) roots, age may represent the mean turnover time for the C pool of bulk roots (<xref ref-type="bibr" rid="ref13">Gaudinski et al., 2001</xref>).</p>
</sec>
</sec>
<sec sec-type="results" id="sec7">
<label>3</label>
<title>Results</title>
<sec id="sec8">
<label>3.1</label>
<title>Fine root inventory</title>
<p>Two soil cores were collected in July 2005 to determine the depth distribution of bulk fine (&#x003C;2&#x202F;mm in diameter) roots (<xref ref-type="supplementary-material" rid="SM1">Supplementary Table S1</xref>). The total mass of fine roots in the uppermost 20&#x202F;cm of soil was 1,280&#x2013;1,490&#x202F;g&#x202F;m<sup>&#x2212;2</sup>, with 55&#x2013;63% of this mass concentrated within the top 6&#x202F;cm.</p>
<p>In May 2007, roots were collected from a soil core and sorted based on the diameter size class and live/dead status (<xref ref-type="supplementary-material" rid="SM1">Supplementary Figure S2</xref>; <xref ref-type="supplementary-material" rid="SM1">Supplementary Table S2</xref> for numerical data). The total root mass was measured at 1,175&#x202F;g&#x202F;m<sup>&#x2212;2</sup> (685&#x202F;g&#x202F;m<sup>&#x2212;2</sup> for fine roots). Approximately 75% of the total root mass was found within the upper 10&#x202F;cm of soil. Roots &#x003E; 2&#x202F;mm in diameter constituted a significant proportion (42&#x2013;67%) of total root mass in soil layers from 5 to 20&#x202F;cm deep. Across all depths, live-root mass consistently surpassed dead root mass, representing approximately 72% (76% for fine roots) of bulk root mass in the soil profile. Among the live fine roots, those 1&#x2013;2&#x202F;mm in diameter were the most prevalent, accounting for 42&#x2013;74% of the mass at all depths. The diameter size distribution of dead fine roots, however, exhibited inconsistent patterns throughout the soil profile. Overall, live roots of &#x003C;0.5-, 0.5&#x2013;1-, and 1&#x2013;2-mm diameter and dead roots of &#x003C;0.5-, 0.5&#x2013;1-, and 1&#x2013;2-mm diameter collectively represented 16, 19, 40, 12, 7, and 5% of the total fine root mass in the whole-soil profile, respectively.</p>
</sec>
<sec id="sec9">
<label>3.2</label>
<title>Age of C in bulk fine roots</title>
<p>For the bulk fine roots excavated in July 2005, &#x0394;<sup>14</sup>C values were 77&#x2013;237&#x2030; with the exception of a low &#x0394;<sup>14</sup>C value of 4&#x2030; for roots from the 4&#x2013;6-cm layer of soil core 2 (<xref ref-type="table" rid="tab1">Table 1</xref>). These &#x0394;<sup>14</sup>C values were remarkably higher than the &#x0394;<sup>14</sup>C value (59&#x2030;) for atmospheric CO<sub>2</sub> in 2005 (<xref ref-type="bibr" rid="ref23">Hua et al., 2022</xref>), indicating the influence of bomb <sup>14</sup>C. While root &#x0394;<sup>14</sup>C values were relatively low in the topmost soil layer, they did not show a consistent depth-related trend. This contrasted with SOC &#x0394;<sup>14</sup>C values, which decreased with depth, reaching negative values (corresponding to the C age of more than several 100&#x202F;years) below 10&#x202F;cm (<xref ref-type="table" rid="tab1">Table 1</xref>). Using <sup>14</sup>C signatures and two modeling approaches, the mean ages of C in bulk fine roots were estimated to range from 4 to 25&#x202F;years, except for one sample showing a very old age of &#x003E;50&#x202F;years with a low &#x0394;<sup>14</sup>C value.</p>
<table-wrap position="float" id="tab1">
<label>Table 1</label>
<caption>
<p>&#x0394;<sup>14</sup>C values for bulk (live&#x202F;+&#x202F;dead) fine roots and soil organic carbon (SOC), and age of root carbon in July 2005.</p>
</caption>
<table frame="hsides" rules="groups">
<thead>
<tr>
<th align="left" valign="top" rowspan="2">Depth (cm)</th>
<th align="center" valign="top" colspan="3">Soil core 1</th>
<th align="center" valign="top" colspan="3">Soil core 2</th>
</tr>
<tr>
<th align="center" valign="top">Root &#x0394;<sup>14</sup>C(&#x2030;)<xref ref-type="table-fn" rid="tfn1"><sup>a</sup></xref></th>
<th align="center" valign="top">Age of root C (y)</th>
<th align="center" valign="top">SOC &#x0394;<sup>14</sup>C (&#x2030;)<xref ref-type="table-fn" rid="tfn1"><sup>a</sup></xref></th>
<th align="center" valign="top">Root &#x0394;<sup>14</sup>C (&#x2030;)<xref ref-type="table-fn" rid="tfn1"><sup>a</sup></xref></th>
<th align="center" valign="top">Age of root C (y)</th>
<th align="center" valign="top">SOC &#x0394;<sup>14</sup>C (&#x2030;)<xref ref-type="table-fn" rid="tfn1"><sup>a</sup></xref><sup>,</sup><xref ref-type="table-fn" rid="tfn2"><sup>b</sup></xref></th>
</tr>
</thead>
<tbody>
<tr>
<td align="left" valign="top">0&#x2013;2</td>
<td align="center" valign="top">77</td>
<td align="center" valign="top">5 [4]<xref ref-type="table-fn" rid="tfn3"><sup>c</sup></xref></td>
<td align="center" valign="top">126</td>
<td align="center" valign="top">79</td>
<td align="center" valign="top">6 [5]<xref ref-type="table-fn" rid="tfn3"><sup>c</sup></xref></td>
<td align="center" valign="top">125</td>
</tr>
<tr>
<td align="left" valign="top">2&#x2013;4</td>
<td align="center" valign="top">229</td>
<td align="center" valign="top">24 [na<xref ref-type="table-fn" rid="tfn4"><sup>d</sup></xref>]</td>
<td align="center" valign="top">118</td>
<td align="center" valign="top">87</td>
<td align="center" valign="top">7 [6]</td>
<td align="center" valign="top">149</td>
</tr>
<tr>
<td align="left" valign="top">4&#x2013;6</td>
<td align="center" valign="top">203</td>
<td align="center" valign="top">22 [na]</td>
<td align="center" valign="top">49</td>
<td align="center" valign="top">4</td>
<td align="center" valign="top">&#x003E;50 [&#x003E;50]</td>
<td align="center" valign="top">154</td>
</tr>
<tr>
<td align="left" valign="top">6&#x2013;8</td>
<td align="center" valign="top">183</td>
<td align="center" valign="top">20 [na]</td>
<td align="center" valign="top">16</td>
<td align="center" valign="top">120</td>
<td align="center" valign="top">13 [10]</td>
<td align="center" valign="top">68</td>
</tr>
<tr>
<td align="left" valign="top">8&#x2013;10</td>
<td align="center" valign="top">209</td>
<td align="center" valign="top">23 [na]</td>
<td align="center" valign="top">&#x2212;7</td>
<td align="center" valign="top">136</td>
<td align="center" valign="top">15 [12]</td>
<td align="center" valign="top">26</td>
</tr>
<tr>
<td align="left" valign="top">10&#x2013;12</td>
<td align="center" valign="top">237</td>
<td align="center" valign="top">25 [na]</td>
<td align="center" valign="top">&#x2212;28</td>
<td align="center" valign="top">ND<xref ref-type="table-fn" rid="tfn5"><sup>e</sup></xref></td>
<td align="center" valign="top">ND</td>
<td align="center" valign="top">&#x2212;23</td>
</tr>
<tr>
<td align="left" valign="top">12&#x2013;14</td>
<td align="center" valign="top">234</td>
<td align="center" valign="top">24 [na]</td>
<td align="center" valign="top">&#x2212;56</td>
<td align="center" valign="top">ND</td>
<td align="center" valign="top">ND</td>
<td align="center" valign="top">&#x2212;44</td>
</tr>
<tr>
<td align="left" valign="top">14&#x2013;16</td>
<td align="center" valign="top">&#x2014;<xref ref-type="table-fn" rid="tfn6"><sup>f</sup></xref></td>
<td align="center" valign="top">&#x2014;</td>
<td align="center" valign="top">&#x2014;</td>
<td align="center" valign="top">ND</td>
<td align="center" valign="top">ND</td>
<td align="center" valign="top">&#x2212;66</td>
</tr>
<tr>
<td align="left" valign="top">16&#x2013;18</td>
<td align="center" valign="top">&#x2014;</td>
<td align="center" valign="top">&#x2014;</td>
<td align="center" valign="top">&#x2014;</td>
<td align="center" valign="top">ND</td>
<td align="center" valign="top">ND</td>
<td align="center" valign="top">&#x2212;95</td>
</tr>
<tr>
<td align="left" valign="top">18&#x2013;20</td>
<td align="center" valign="top">&#x2014;</td>
<td align="center" valign="top">&#x2014;</td>
<td align="center" valign="top">&#x2014;</td>
<td align="center" valign="top">ND</td>
<td align="center" valign="top">ND</td>
<td align="center" valign="top">&#x2212;136</td>
</tr>
</tbody>
</table>
<table-wrap-foot>
<fn id="tfn1">
<label>a</label>
<p>Analytical uncertainty for the &#x0394;<sup>14</sup>C value was 4&#x2013;7&#x2030;.</p>
</fn>
<fn id="tfn2">
<label>b</label>
<p>Data of SOC &#x0394;<sup>14</sup>C for soil core 2 are from <xref ref-type="bibr" rid="ref30">Koarashi et al. (2009)</xref> study.</p>
</fn>
<fn id="tfn3">
<label>c</label>
<p>Mean ages estimated based on &#x0394;<sup>14</sup>C values using approaches 1 and 2 (in brackets).</p>
</fn>
<fn id="tfn4">
<label>d</label>
<p>na: Not available because of no unique solution to explain the &#x0394;<sup>14</sup>C value in approach 2.</p>
</fn>
<fn id="tfn5">
<label>e</label>
<p>ND: Not determined because of an insufficient quantity of root sample for AMS-<sup>14</sup>C measurement.</p>
</fn>
<fn id="tfn6">
<label>f</label>
<p>Soil samples were not collected.</p>
</fn>
</table-wrap-foot>
</table-wrap>
</sec>
<sec id="sec10">
<label>3.3</label>
<title>Age of C in live and dead roots with different size classes</title>
<p>The &#x0394;<sup>14</sup>C values for live and dead roots, excavated by depth in May 2007 and categorized by diameter size class, ranged from 74 to 436&#x2030; for a depth interval of 0&#x2013;20&#x202F;cm (<xref ref-type="fig" rid="fig2">Figure 2</xref>; <xref ref-type="supplementary-material" rid="SM1">Supplementary Table S3</xref>). These &#x0394;<sup>14</sup>C values were notably higher than the &#x0394;<sup>14</sup>C value (51&#x2030;) for atmospheric CO<sub>2</sub> in 2007 (<xref ref-type="bibr" rid="ref23">Hua et al., 2022</xref>). Both live and dead roots in soil layers &#x003E;20-cm deep showed lower &#x0394;<sup>14</sup>C values (54&#x2013;94&#x2030;) compared to those in the upper soil layers. Consistent with the results of 2005 (<xref ref-type="table" rid="tab1">Table 1</xref>), no consistent trend was observed with depth in root &#x0394;<sup>14</sup>C values for both live and dead roots.</p>
<fig position="float" id="fig2">
<label>Figure 2</label>
<caption>
<p>Radiocarbon signatures of roots by depth, diameter size class, and live/dead status in May 2007. Error bars represent standard deviation when replicate samples are available.</p>
</caption>
<graphic xlink:href="ffgc-08-1654883-g002.tif" mimetype="image" mime-subtype="tiff">
<alt-text content-type="machine-generated">Bar chart showing &#x0394;\(^{14}\)C of roots in different diameter size classes and depths for live and dead roots. Categories include size classes of less than 0.5 mm, 0.5&#x2013;1 mm, 1&#x2013;2 mm, and 2&#x2013;5 mm, with depths ranging from 0 to 25 cm. Data shows variations in carbon isotope levels between live and dead roots across size classes and soil depths. The y-axis indicates &#x0394;\(^{14}\)C levels in per mil (&#x2030;).</alt-text>
</graphic>
</fig>
<p>Regarding the difference due to the live/dead status, dead roots exhibited higher &#x0394;<sup>14</sup>C values than live roots (<xref ref-type="fig" rid="fig2">Figure 2</xref>). Regarding the difference due to diameter size class, &#x0394;<sup>14</sup>C value increased with size class for live roots in the surface (0&#x2013;5 and 5&#x2013;10&#x202F;cm) soil layers. This observation should be noted in relation to the root sampling method, as only live roots obtained from branching fine root systems were selected for <sup>14</sup>C analysis in these layers (see section of Materials and methods and <xref ref-type="fig" rid="fig1">Figure 1</xref>). Such a relationship between the &#x0394;<sup>14</sup>C value and size class was not found for live roots in other soil layers and for dead roots at all depths.</p>
<p>The mean ages of C in live and dead roots sampled at depths of 0&#x2013;20&#x202F;cm were estimated to be 5&#x2013;32 and 8&#x2013;34&#x202F;years, respectively (<xref ref-type="table" rid="tab2">Table 2</xref>) and were generally higher in dead roots (by 3&#x2013;19&#x202F;years) than in live roots when compared at the same depth and diameter size class. For the live roots configuring branching fine root systems in 0&#x2013;10-cm deep surface soil, differences in age between diameter size classes were apparent with larger-sized roots consisting of older C. In contrast, the trend of increasing C age with diameter size class was unclear for live roots from deeper soil layers, which were collected and analyzed as a mixture of root pieces. In the soil layer below a depth of 20&#x202F;cm, the estimated mean ages of C ranged from 1 to 8&#x202F;years for live and dead roots.</p>
<table-wrap position="float" id="tab2">
<label>Table 2</label>
<caption>
<p>Mean ages of carbon in roots by depth, diameter size class, and live/dead status in May 2007.</p>
</caption>
<table frame="hsides" rules="groups">
<thead>
<tr>
<th align="left" valign="top" rowspan="2">Depth (cm)</th>
<th align="center" valign="top" colspan="4">Live roots</th>
<th align="center" valign="top" colspan="4">Dead roots</th>
</tr>
<tr>
<th align="center" valign="top">&#x003C;0.5&#x202F;mm</th>
<th align="center" valign="top">0.5&#x2013;1&#x202F;mm</th>
<th align="center" valign="top">1&#x2013;2&#x202F;mm</th>
<th align="center" valign="top">2&#x2013;5&#x202F;mm</th>
<th align="center" valign="top">&#x003C;0.5&#x202F;mm</th>
<th align="center" valign="top">0.5&#x2013;1&#x202F;mm</th>
<th align="center" valign="top">1&#x2013;2&#x202F;mm</th>
<th align="center" valign="top">2&#x2013;5&#x202F;mm</th>
</tr>
</thead>
<tbody>
<tr>
<td align="left" valign="top">0&#x2013;5&#x202F;cm</td>
<td align="center" valign="top">6 [6]<xref ref-type="table-fn" rid="tfn7"><sup>a</sup></xref></td>
<td align="center" valign="top">12 [11]</td>
<td align="char" valign="top" char="[">15 [15]</td>
<td align="center" valign="top">28&#x2013;32 [na<xref ref-type="table-fn" rid="tfn8"><sup>b</sup></xref>]</td>
<td align="center" valign="top">19 [na]</td>
<td align="char" valign="top" char="[">18 [na]</td>
<td align="center" valign="top">ND<xref ref-type="table-fn" rid="tfn9"><sup>c</sup></xref></td>
<td align="center" valign="top">&#x2014;<xref ref-type="table-fn" rid="tfn10"><sup>d</sup></xref></td>
</tr>
<tr>
<td align="left" valign="top">5&#x2013;10&#x202F;cm</td>
<td align="center" valign="top">10 [9]</td>
<td align="center" valign="top">10&#x2013;13 [9&#x2013;12]</td>
<td align="char" valign="top" char="[">22&#x2013;23 [na]</td>
<td align="center" valign="top">29 [na]</td>
<td align="center" valign="top">21 [na]</td>
<td align="char" valign="top" char="[">25 [na]</td>
<td align="center" valign="top">25 [na]</td>
<td align="center" valign="top">26 [na]</td>
</tr>
<tr>
<td align="left" valign="top">10&#x2013;15&#x202F;cm</td>
<td align="center" valign="top">10 [10]</td>
<td align="center" valign="top">10 [9]</td>
<td align="char" valign="top" char="[">15 [15]</td>
<td align="center" valign="top">10 [10]</td>
<td align="center" valign="top">21 [na]</td>
<td align="char" valign="top" char="[">23 [na]</td>
<td align="center" valign="top">34 [na]</td>
<td align="center" valign="top">&#x2014;</td>
</tr>
<tr>
<td align="left" valign="top">15&#x2013;20&#x202F;cm</td>
<td align="center" valign="top">11 [10]</td>
<td align="center" valign="top">5 [5]</td>
<td align="char" valign="top" char="[">18 [na]</td>
<td align="center" valign="top">9 [9]</td>
<td align="center" valign="top">22 [na]</td>
<td align="char" valign="top" char="[">8 [8]</td>
<td align="center" valign="top">ND</td>
<td align="center" valign="top">&#x2014;</td>
</tr>
<tr>
<td align="left" valign="top">20&#x2013;25&#x202F;cm</td>
<td align="center" valign="top">3 [4]</td>
<td align="center" valign="top">ND</td>
<td align="char" valign="top" char="[">8 [8]</td>
<td align="center" valign="top">&#x2014;</td>
<td align="center" valign="top">ND</td>
<td align="char" valign="top" char="[">6 [6]</td>
<td align="center" valign="top">1 [2]</td>
<td align="center" valign="top">4 [5]</td>
</tr>
</tbody>
</table>
<table-wrap-foot>
<fn id="tfn7">
<label>a</label>
<p>Mean ages estimated based on &#x0394;<sup>14</sup>C values using approaches 1 and 2 (in brackets).</p>
</fn>
<fn id="tfn8">
<label>b</label>
<p>na: Not available because of no unique solution to explain the &#x0394;<sup>14</sup>C value in approach 2.</p>
</fn>
<fn id="tfn9">
<label>c</label>
<p>nd: Not determined either because of an insufficient quantity of root sample for <sup>14</sup>C analysis or because sample preparation for <sup>14</sup>C analysis failed.</p>
</fn>
<fn id="tfn10">
<label>d</label>
<p>Root samples were not collected.</p>
</fn>
</table-wrap-foot>
</table-wrap>
</sec>
<sec id="sec11">
<label>3.4</label>
<title>Age of C in newly emerged roots</title>
<p>All fine roots grown in ingrowth mesh bags within a 99-day growing season (July 30, 2008 to November 6, 2008) were observed to be primary roots with less pigmentation (<xref ref-type="supplementary-material" rid="SM1">Supplementary Figure S3</xref>). Six samples were prepared for <sup>14</sup>C analysis (<xref ref-type="table" rid="tab3">Table 3</xref>). Three of the six samples were root samples collected from different filling materials (root-free sand, perlite, and glass beads) in ingrowth mesh bags and generally consisted of a mixture of root pieces from some branching fine root systems. Because a sufficient quantity of roots was obtained from the ingrowth mesh bags of sand, the <sup>14</sup>C content was also measured for a single fine live-root system and roots with different diameter size classes (&#x003C;0.5 and 0.5&#x2013;1&#x202F;mm) from some fine live-root systems.</p>
<table-wrap position="float" id="tab3">
<label>Table 3</label>
<caption>
<p>&#x0394;<sup>14</sup>C values for fine roots grown in ingrowth mesh bags from July 30 to November 6, 2008.</p>
</caption>
<table frame="hsides" rules="groups">
<thead>
<tr>
<th align="left" valign="top">Filling material of ingrowth mesh bag</th>
<th align="center" valign="top">Root &#x0394;<sup>14</sup>C (&#x2030;)<xref ref-type="table-fn" rid="tfn11"><sup>a</sup></xref></th>
<th align="left" valign="top">Sample details</th>
</tr>
</thead>
<tbody>
<tr>
<td align="left" valign="top" rowspan="4">Root-free sand</td>
<td align="center" valign="top">46</td>
<td align="left" valign="top">A mixture of some live fine-root systems</td>
</tr>
<tr>
<td align="center" valign="top">44</td>
<td align="left" valign="top">A single live fine-root system</td>
</tr>
<tr>
<td align="center" valign="top">48</td>
<td align="left" valign="top">Live roots with diameter size class of &#x003C;0.5&#x202F;mm</td>
</tr>
<tr>
<td align="center" valign="top">44</td>
<td align="left" valign="top">Live roots with diameter size class of 0.5&#x2013;1&#x202F;mm</td>
</tr>
<tr>
<td align="left" valign="top">Perlite</td>
<td align="center" valign="top">44</td>
<td align="left" valign="top">A mixture of some live fine-root systems</td>
</tr>
<tr>
<td align="left" valign="top">Glass beads</td>
<td align="center" valign="top">45</td>
<td align="left" valign="top">A mixture of some live fine-root systems</td>
</tr>
</tbody>
</table>
<table-wrap-foot>
<fn id="tfn11">
<label>a</label>
<p>Analytical uncertainty for the &#x0394;<sup>14</sup>C value was approximately 5&#x2030;.</p>
</fn>
</table-wrap-foot>
</table-wrap>
<p>Despite the different characteristics of root samples, &#x0394;<sup>14</sup>C values obtained for the roots were less variable (range: 44&#x2013;48&#x2030;, mean &#x00B1; standard deviation: 45&#x2030;&#x202F;&#x00B1;&#x202F;2&#x2030;, <xref ref-type="table" rid="tab3">Table 3</xref>) and similar to the &#x0394;<sup>14</sup>C value (48&#x2030;) for atmospheric CO<sub>2</sub> in 2008 (<xref ref-type="bibr" rid="ref23">Hua et al., 2022</xref>). The <sup>14</sup>C signatures indicated that roots growing in the ingrowth mesh bags consisted of C fixed within the year (i.e., mean C age of the roots was &#x003C;1&#x202F;year), which matched the age of roots deduced from the duration of the ingrowth bag experiment.</p>
</sec>
</sec>
<sec sec-type="discussion" id="sec12">
<label>4</label>
<title>Discussion</title>
<p>The global <sup>14</sup>C spike resulting from atmospheric nuclear weapons testing, which peaked in the early 1960s, provides a valuable tool for assessing the mean age of root C. The &#x0394;<sup>14</sup>C values of existing fine roots in the Japanese beech forest consistently exceeded those of contemporary atmospheric CO<sub>2</sub> (<xref ref-type="table" rid="tab1">Table 1</xref>; <xref ref-type="fig" rid="fig2">Figure 2</xref>), indicating that the roots were formed mainly from old (noncurrent-year) photosynthetic products. Using the <sup>14</sup>C signatures and modeling approaches, the mean ages of C in fine roots were estimated to be 5&#x2013;23, 1&#x2013;34, and 4&#x2013;25&#x202F;years (with an occasional value exceeding 50&#x202F;years) for live, dead, and bulk roots, respectively (<xref ref-type="table" rid="tab1">Tables 1</xref>, <xref ref-type="table" rid="tab2">2</xref>). These <sup>14</sup>C-derived estimates of fine root C ages align with findings across biomes and plant types. <xref ref-type="bibr" rid="ref13">Gaudinski et al. (2001)</xref> reported mean ages of 3&#x2013;18, 10&#x2013;18, and 3&#x2013;18&#x202F;years for live, dead, and bulk fine roots, respectively, in United States temperate forests. Fine root C ages have also been reported as &#x003C;1 to &#x003E;40&#x202F;years in Amazonian tropical forests (<xref ref-type="bibr" rid="ref53">Trumbore et al., 2006</xref>), 3&#x2013;12&#x202F;years in boreal and hemi boreal pine and spruce forests (<xref ref-type="bibr" rid="ref44">Sah et al., 2013</xref>), and 3&#x2013;23&#x202F;years in European temperate, boreal, and subarctic forests (<xref ref-type="bibr" rid="ref47">Solly et al., 2018</xref>). Recent work by <xref ref-type="bibr" rid="ref31">Kwatcho Kengdo et al. (2023)</xref> indicates approximately 6-year turnover times for bulk fine roots in the Austrian Alps. Our observation showed no consistent trend with depth in root C ages. This pattern contrasts with other studies showing an increase in root C age with depth (<xref ref-type="bibr" rid="ref13">Gaudinski et al., 2001</xref>; <xref ref-type="bibr" rid="ref28">Joslin et al., 2006</xref>). This is likely due to the characteristics of the Appi forest soil (Andosol) where soil bulk density, clay content, organic matter content are uniformly distributed in the upper 20&#x202F;cm (<xref ref-type="bibr" rid="ref30">Koarashi et al., 2009</xref>).</p>
<p>In contrast to the C age observed in the standing stock of fine roots, newly produced (99-day-old) fine roots exhibited a &#x0394;<sup>14</sup>C value similar to that of contemporary atmospheric CO<sub>2</sub> (<xref ref-type="table" rid="tab3">Table 3</xref>). This indicates that current-year photosynthetic products are used in the production of new roots in the Japanese beech forest, although the reliance of plants on stored C reserves (e.g., nonstructural carbohydrates) for root production is widely recognized. While <xref ref-type="bibr" rid="ref12">Gaudinski et al. (2009)</xref> suggested that the production of new roots primarily utilizes stored C, their study of a temperate deciduous oak forest indicated reserves less than 1&#x202F;year old. Our results align with observations from temperate and tropical forests, where newly emerged roots typically comprise photosynthetic products of age &#x003C;1&#x2013;2&#x202F;years (<xref ref-type="bibr" rid="ref13">Gaudinski et al., 2001</xref>; <xref ref-type="bibr" rid="ref52">Tierney and Fahey, 2002</xref>; <xref ref-type="bibr" rid="ref53">Trumbore et al., 2006</xref>; <xref ref-type="bibr" rid="ref56">Vargas et al., 2009</xref>; <xref ref-type="bibr" rid="ref45">Sah et al., 2011</xref>). The use of C reserves in the production of new roots also may depend on the season; in this study, the root collection was conducted in the second half of the growing season (July 30 to November 6), a time when freshly assimilated C reserves are potentially abundant in the tree body (<xref ref-type="bibr" rid="ref20">Hilman et al., 2024</xref>).</p>
<p>Given the negligible time lag observed between photosynthetic C assimilation and its utilization for root production in the Japanese beech forest, the estimated ages of C in fine roots suggest the following two processes of fine root dynamics. First, plants use current-year photosynthetic products to produce new roots but use older (<sup>14</sup>C-enriched) internally stored organic compounds to support root growth throughout their lifespan. Second, some fine roots live for many years. Both of these processes could explain why live fine roots exhibited a higher &#x0394;<sup>14</sup>C value than newly emerged roots.</p>
<p>Regarding the first process, individual roots of woody species undergo primary and secondary growth after emergence. During primary root growth, the primary vascular system and cortex develop, forming a structure largely composed of living parenchyma cells that store starch (<xref ref-type="bibr" rid="ref21">Hishi, 2007</xref>; <xref ref-type="bibr" rid="ref12">Gaudinski et al., 2009</xref>). Subsequently, secondary growth leads to the development of the secondary vascular system and cork cambium, resulting in a root structure dominated by structural secondary tissues, such as sclerenchyma, rich in lignin and subring (<xref ref-type="bibr" rid="ref21">Hishi, 2007</xref>). This shift in root tissue composition raises the hypothesis that trees utilize older C reserves during later root development. The observed increase in <sup>14</sup>C-derived age of root C with diameter size class (branch order) in branching root systems (<xref ref-type="fig" rid="fig1">Figure 1</xref> and <xref ref-type="table" rid="tab2">Table 2</xref>) may support this. However, the significant difference in <sup>14</sup>C signature between existing and newly emerged root C implies a disproportionally large allocation of old C reserves after root emergence. Monitoring changes in both <sup>14</sup>C signature and biomass of fine roots throughout the root lifespan is needed to fully understand this allocation. <xref ref-type="bibr" rid="ref47">Solly et al. (2018)</xref> have recently reported older <sup>14</sup>C ages than chronological (based on annual growth rings) ages of fine roots. In addition, other studies, in contrast to our results, have documented higher C ages even in newly produced roots (up to 10&#x202F;years), especially for larger-diameter fine roots (<xref ref-type="bibr" rid="ref32">Matamala et al., 2003</xref>; <xref ref-type="bibr" rid="ref45">Sah et al., 2011</xref>; <xref ref-type="bibr" rid="ref20">Hilman et al., 2024</xref>) and those produced following forest disturbance (<xref ref-type="bibr" rid="ref56">Vargas et al., 2009</xref>). <xref ref-type="bibr" rid="ref43">Richardson et al. (2013)</xref> identified both rapidly cycling (&#x003C;1&#x202F;year) and decade-old nonstructural carbohydrate reserves in temperate forest trees of the northeastern United States. These findings illustrate the capacity of plants to allocate older stored C to root production and growth, especially under specific environmental conditions.</p>
<p>The second process relies on the assumption that plants do not use older stored C for root growth after emergence. If this assumption holds true, the <sup>14</sup>C-derived ages of root C would primarily reflect root lifetimes, suggesting that a proportion of existing fine roots are long-lived. For the Appi forest, the <sup>14</sup>C method estimates fine root turnover times of over 5&#x202F;years, significantly longer than approximately 1.9&#x202F;years estimated by a conventional steady-state mass balance calculation using the fine root biomass (438&#x202F;g&#x202F;m<sup>&#x2212;2</sup> measured in this study) and production rate (233&#x202F;&#x00B1;&#x202F;35&#x202F;g&#x202F;m<sup>&#x2212;2</sup> y<sup>&#x2212;1</sup> evaluated during 2012&#x2013;2013; Noguchi et al. unpublished data). The apparent discrepancy in fine root lifetime could arise from differences in the fine root populations being assessed between the methods (<xref ref-type="bibr" rid="ref54">Trumbore and Gaudinski, 2003</xref>; <xref ref-type="bibr" rid="ref16">Guo et al., 2008</xref>; <xref ref-type="bibr" rid="ref40">Pritchard and Strand, 2008</xref>; <xref ref-type="bibr" rid="ref49">Strand et al., 2008</xref>). The <sup>14</sup>C method relies on a mass-based measure (i.e., mean residence time of fine root mass) and can be skewed by the larger, higher-order fine roots, which contain more C and tend to persist longer than smaller, lower-order fine roots. The difficulty in extracting the most ephemeral components of the fine root system from soil samples could also contribute to this bias (<xref ref-type="bibr" rid="ref49">Strand et al., 2008</xref>). Conversely, the minirhizotron and ingrowth core methods rely on a number-based measure (growing of individual fine roots) and can be biased by the smaller, apical first-order fine roots, which are more numerous and ephemeral (i.e., short-lived) but contain less C compared to higher-order fine roots. Inherent heterogeneity in root longevity has been documented (<xref ref-type="bibr" rid="ref52">Tierney and Fahey, 2002</xref>; <xref ref-type="bibr" rid="ref16">Guo et al., 2008</xref>; <xref ref-type="bibr" rid="ref11">Gaudinski et al., 2010</xref>; <xref ref-type="bibr" rid="ref1">Ahrens et al., 2014</xref>), likely due to variations in mortality rates and life cycles across different positions on branching root systems (<xref ref-type="bibr" rid="ref29">King et al., 2002</xref>; <xref ref-type="bibr" rid="ref21">Hishi, 2007</xref>). Our observation of increasing <sup>14</sup>C-derived age of root C with branch order in branching root systems (<xref ref-type="fig" rid="fig1">Figure 1</xref> and <xref ref-type="table" rid="tab2">Table 2</xref>) may also reflect this inherent variation in root lifespan. Consequently, the <sup>14</sup>C method could tend to overestimate the actual lifetime of fine roots, whereas the minirhizotron and ingrowth core methods could substantially underestimate the actual lifetime (<xref ref-type="bibr" rid="ref16">Guo et al., 2008</xref>). A conventional steady-state mass balance calculation assuming a 1-year lifetime for the standing stock of live fine roots (equivalent to ~260&#x202F;g C m<sup>&#x2212;2</sup>) estimates a belowground NPP share of approximately 32% at the Appi forest. However, this may probably overestimate the belowground C allocation, and consequently, the transfer of C into the soil through fine root dynamics. Again, tracking <sup>14</sup>C signatures of roots throughout root development is crucial to definitely verify the assumption and belowground C allocation processes.</p>
<p>Other processes that could potentially influence the <sup>14</sup>C signature of roots include the uptake of C by roots from organic C sources in the soil (<xref ref-type="bibr" rid="ref27">Jones et al., 2009</xref>; <xref ref-type="bibr" rid="ref36">N&#x00E4;sholm et al., 2009</xref>; <xref ref-type="bibr" rid="ref47">Solly et al., 2018</xref>) and the transfer of plant-fixed C to mycorrhizal fungi, which form symbiotic relationships with the roots (<xref ref-type="bibr" rid="ref47">Solly et al., 2018</xref>; <xref ref-type="bibr" rid="ref19">Hawkins et al., 2023</xref>). Regarding the uptake of C by roots, however, the &#x0394;<sup>14</sup>C values and their depth distribution for fine roots did not match those observed in SOM (<xref ref-type="table" rid="tab1">Table 1</xref>). At the Appi forest site, &#x0394;<sup>14</sup>C values for water-extractable organic C (WEOC) in the surface soil were measured in 2009 (102&#x2030;, 77&#x2030;, and 6&#x2030; at depths of 0&#x2013;5, 5&#x2013;10, and 10&#x2013;15&#x202F;cm, respectively; <xref ref-type="bibr" rid="ref35">Nakanishi et al., 2012</xref>). The &#x0394;<sup>14</sup>C values for live roots &#x003C;1&#x202F;mm in diameter (<xref ref-type="fig" rid="fig2">Figure 2</xref> and <xref ref-type="supplementary-material" rid="SM1">Supplementary Table S3</xref>) showed a similarity to those for WEOC in the uppermost 10&#x202F;cm of the soil profile, but diverged in the 10&#x2013;15&#x202F;cm layer. The high &#x0394;<sup>14</sup>C values for live roots &#x003E;1&#x202F;mm in diameter did not correspond to the &#x0394;<sup>14</sup>C values for WEOC, suggesting a limited contribution of organic C sources in the soil to root growth. Regarding the transfer of C to mycorrhizal fungi, mycorrhizal fungi are estimated to receive 4&#x2013;20% of total NPP (<xref ref-type="bibr" rid="ref19">Hawkins et al., 2023</xref>) and can constitute up to 40% of the biomass of ectomycorrhizal roots (<xref ref-type="bibr" rid="ref17">Harley and McCready, 1952</xref>; <xref ref-type="bibr" rid="ref46">Satomura et al., 2003</xref>). However, research by <xref ref-type="bibr" rid="ref22">Hobbie et al. (2002)</xref> demonstrated that mycorrhizal fungi incorporated recent photosynthetic, with an estimated age of 0&#x2013;2&#x202F;years, using four fungal species in a mature Douglas-fir forest in the United States.</p>
<p>Root morphology and chemical composition vary depending on diameter size and branching position (<xref ref-type="bibr" rid="ref21">Hishi, 2007</xref>), which also affects their decomposition rate in soils after deposition (<xref ref-type="bibr" rid="ref51">Sun et al., 2013</xref>; <xref ref-type="bibr" rid="ref59">Zhang and Wang, 2015</xref>; <xref ref-type="bibr" rid="ref57">Wu et al., 2022</xref>). The observed difference (3&#x2013;19&#x202F;years, with no discernible trends related to depth or diameter class, <xref ref-type="table" rid="tab2">Table 2</xref>) in the mean C age between live and dead roots could reflect the time required for root decomposition in soils before root C returns to the atmosphere, a process to be quantified for accurately assessing the role of roots in soil C cycling, and ultimately, forest C dynamics. <xref ref-type="bibr" rid="ref59">Zhang and Wang (2015)</xref> found faster decomposition of fine roots compared to course roots in middle latitude areas. Conversely <xref ref-type="bibr" rid="ref51">Sun et al. (2013)</xref>, reported slower decomposition of very fine roots (&#x003C;0.5&#x202F;mm in diameter) compared to 0.5&#x2013;2.0&#x202F;mm roots in a temperate forest in northeastern China. <xref ref-type="bibr" rid="ref15">Goebel et al. (2011)</xref> noted that root decomposition can be influenced by root pigmentation and root order; pigmented first- and second-order roots decompose more slowly than higher-order roots. These findings suggest that root decomposition can be complicated depending on morphological traits such as diameter-size class and branch order, which may result in the inconsistent difference in <sup>14</sup>C signature between live and dead roots. Many studies rely on buried root techniques and laboratory incubation experiments, potentially misrepresenting actual root decomposition processes (<xref ref-type="bibr" rid="ref57">Wu et al., 2022</xref>). Root decomposition rates are still controversial, necessitating variable approaches, including <sup>14</sup>C methods, for comprehensive assessment.</p>
<p>Overall, our results provide a piece of knowledge about belowground C allocation processes in plants and suggest a further hypothesis. However, the fine root dynamics&#x2014;encompassing both ephemeral and long-lived roots&#x2014;remains a critical knowledge gap. Innovative research methods are still needed to reveal the heterogeneity of fine root dynamics <italic>in situ</italic>. Future studies should include tracking changes in <sup>14</sup>C signatures of fine roots and their nonstructural C pools throughout their development, for example in combination with direct monitoring techniques such as minirhizotrons and flatbed scanners, to fully elucidate the role of plants in C dynamics and sequestration within forest ecosystems.</p>
</sec>
</body>
<back>
<sec sec-type="data-availability" id="sec13">
<title>Data availability statement</title>
<p>The original contributions presented in the study are included in the article/<xref ref-type="supplementary-material" rid="SM1">Supplementary material</xref>, further inquiries can be directed to the corresponding author.</p>
</sec>
<sec sec-type="author-contributions" id="sec14">
<title>Author contributions</title>
<p>JK: Writing &#x2013; original draft, Funding acquisition, Writing &#x2013; review &#x0026; editing, Formal analysis, Investigation, Methodology, Conceptualization. MA-A: Investigation, Methodology, Writing &#x2013; review &#x0026; editing. SI: Investigation, Methodology, Writing &#x2013; review &#x0026; editing. KN: Investigation, Methodology, Writing &#x2013; review &#x0026; editing. AK: Investigation, Writing &#x2013; review &#x0026; editing. MN: Writing &#x2013; review &#x0026; editing.</p>
</sec>

<ack><title>Acknowledgments</title>
<p>The authors thank G. Katata, T. Tsuduki, T. Kobayashi, S. Otosaka, and H. Terada of the Japan Atomic Energy Agency (JAEA) for support with the fieldwork; T. Tanaka and the rest of the staff at the Aomori Research and Development Center of JAEA for the AMS-<sup>14</sup>C measurements; and S. Miura, T. Saito, T. Hashimoto, Y. Yasuda, K. Ono, and D. Hoshino of the Forestry and Forest Products Research Institute (FFPRI) for valuable discussions. The authors also thank the Iwatehokubu District Forest Office and the Forestry Agency&#x2019;s Tohoku Regional Forest Office for providing permission to use the Appi forest site. This work was performed according to the JAEA-FFPRI Cooperation Research Scheme.</p>
</ack>
<sec sec-type="COI-statement" id="sec16">
<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="sec17">
<title>Generative AI statement</title>
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<title>Publisher&#x2019;s note</title>
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<sec sec-type="supplementary-material" id="sec19">
<title>Supplementary material</title>
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</ref-list><fn-group><fn id="fn0001" fn-type="custom" custom-type="edited-by"><p>Edited by: <ext-link ext-link-type="uri" xlink:href="https://loop.frontiersin.org/people/599781/overview">Yunting Fang</ext-link>, Chinese Academy of Sciences (CAS), China</p></fn>
<fn id="fn0002" fn-type="custom" custom-type="reviewed-by"><p>Reviewed by: <ext-link ext-link-type="uri" xlink:href="https://loop.frontiersin.org/people/1977537/overview">Sun Tao</ext-link>, Chinese Academy of Sciences (CAS), China</p><p><ext-link ext-link-type="uri" xlink:href="https://loop.frontiersin.org/people/3124781/overview">T&#x00F5;nu Oja</ext-link>, University of Tartu, Estonia</p></fn></fn-group></back>
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