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<front>
<journal-meta>
<journal-id journal-id-type="publisher-id">Front. Ecol. Evol.</journal-id>
<journal-title>Frontiers in Ecology and Evolution</journal-title>
<abbrev-journal-title abbrev-type="pubmed">Front. Ecol. Evol.</abbrev-journal-title>
<issn pub-type="epub">2296-701X</issn>
<publisher>
<publisher-name>Frontiers Media S.A.</publisher-name>
</publisher>
</journal-meta>
<article-meta>
<article-id pub-id-type="doi">10.3389/fevo.2021.623831</article-id>
<article-categories>
<subj-group subj-group-type="heading">
<subject>Ecology and Evolution</subject>
<subj-group>
<subject>Original Research</subject>
</subj-group>
</subj-group>
</article-categories>
<title-group>
<article-title>A Model and Simulation of the Influence of Temperature and Amplicon Length on Environmental DNA Degradation Rates: A Meta-Analysis Approach</article-title>
</title-group>
<contrib-group>
<contrib contrib-type="author" corresp="yes">
<name><surname>Saito</surname> <given-names>Tatsuya</given-names></name>
<xref ref-type="corresp" rid="c001"><sup>&#x002A;</sup></xref>
<uri xlink:href="http://loop.frontiersin.org/people/1128620/overview"/>
</contrib>
<contrib contrib-type="author">
<name><surname>Doi</surname> <given-names>Hideyuki</given-names></name>
<uri xlink:href="http://loop.frontiersin.org/people/570340/overview"/>
</contrib>
</contrib-group>
<aff><institution>Graduate School of Simulation Studies, University of Hyogo</institution>, <addr-line>Kobe</addr-line>, <country>Japan</country></aff>
<author-notes>
<fn fn-type="edited-by"><p>Edited by: Katy Klymus, United States Geological Survey (USGS), United States</p></fn>
<fn fn-type="edited-by"><p>Reviewed by: Catherine Richter, Columbia Environmental Research Center, United States Geological Survey, United States; Sheena Feist, Engineer Research and Development Center (ERDC), United States</p></fn>
<corresp id="c001">&#x002A;Correspondence: Tatsuya Saito, <email>tatwoeight630@icloud.com</email></corresp>
<fn fn-type="other" id="fn004"><p>This article was submitted to Conservation and Restoration Ecology, a section of the journal Frontiers in Ecology and Evolution</p></fn>
</author-notes>
<pub-date pub-type="epub">
<day>19</day>
<month>03</month>
<year>2021</year>
</pub-date>
<pub-date pub-type="collection">
<year>2021</year>
</pub-date>
<volume>9</volume>
<elocation-id>623831</elocation-id>
<history>
<date date-type="received">
<day>30</day>
<month>10</month>
<year>2020</year>
</date>
<date date-type="accepted">
<day>19</day>
<month>02</month>
<year>2021</year>
</date>
</history>
<permissions>
<copyright-statement>Copyright &#x00A9; 2021 Saito and Doi.</copyright-statement>
<copyright-year>2021</copyright-year>
<copyright-holder>Saito and Doi</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>Environmental DNA (eDNA) analysis can detect aquatic organisms, including rare and endangered species, in a variety of habitats. Degradation can influence eDNA persistence, impacting eDNA-based species distribution and occurrence results. Previous studies have investigated degradation rates and associated contributing factors. It is important to integrate data from across these studies to better understand and synthesize eDNA degradation in various environments. We complied the eDNA degradation rates and related factors, especially water temperature and amplicon lengths of the measured DNA from 28 studies, and subjected the data to a meta-analysis. In agreement with previous studies, our results suggest that water temperature and amplicon length are significantly related to the eDNA degradation rate. From the 95% quantile model simulation, we predicted the maximum eDNA degradation rate in various combinations of water temperature and amplicon length. Predicting eDNA degradation could be important for evaluating species distribution and inducing innovation (e.g., sampling, extraction, and analysis) of eDNA methods, especially for rare and endangered species with small population size.</p>
</abstract>
<kwd-group>
<kwd>environmental DNA</kwd>
<kwd>polymerase chain reaction</kwd>
<kwd>degradation rate</kwd>
<kwd>quantile model</kwd>
<kwd>meta-analysis</kwd>
</kwd-group>
<counts>
<fig-count count="3"/>
<table-count count="1"/>
<equation-count count="1"/>
<ref-count count="51"/>
<page-count count="8"/>
<word-count count="0"/>
</counts>
</article-meta>
</front>
<body>
<sec id="S1">
<title>Introduction</title>
<p>Environmental DNA (eDNA) methods are innovative methods developed for monitoring macroorganisms, especially aquatic species (<xref ref-type="bibr" rid="B11">Ficetola et al., 2008</xref>; <xref ref-type="bibr" rid="B25">Minamoto et al., 2012</xref>; <xref ref-type="bibr" rid="B39">Taberlet et al., 2012</xref>; <xref ref-type="bibr" rid="B40">Takahara et al., 2012</xref>; <xref ref-type="bibr" rid="B46">Ushio et al., 2018</xref>; <xref ref-type="bibr" rid="B16">Kakuda et al., 2019</xref>; <xref ref-type="bibr" rid="B42">Tsuji et al., 2019</xref>). The eDNA method is used to investigate species distribution. It is less invasive to organisms, and is especially useful for rare and endangered species, which generally have low tolerance to sampling disturbance and may be difficult to detect. Consequently, eDNA methods have been used to detect rare and endangered species in various taxa, such as fish, salamander, and aquatic insects (<xref ref-type="bibr" rid="B12">Fukumoto et al., 2015</xref>; <xref ref-type="bibr" rid="B37">Sigsgaard et al., 2015</xref>; <xref ref-type="bibr" rid="B30">Pfleger et al., 2016</xref>; <xref ref-type="bibr" rid="B9">Doi et al., 2017</xref>; <xref ref-type="bibr" rid="B33">Sakata et al., 2017</xref>).</p>
<p>Environmental DNA, which is compromised of DNA fragments released by organisms into environments such as water or soil, is thought to be derived from mixtures of feces (<xref ref-type="bibr" rid="B20">Martellini et al., 2005</xref>), skin cells (<xref ref-type="bibr" rid="B11">Ficetola et al., 2008</xref>), mucus (<xref ref-type="bibr" rid="B22">Merkes et al., 2014</xref>), and secretions (<xref ref-type="bibr" rid="B4">Bylemans et al., 2018</xref>) of organisms. Previous studies have suggested that eDNA is mainly derived from fractions of cells or cellular organs (i.e., mitochondria and nuclei), but it can also be derived from fragmented DNA (degraded DNA) in the water (<xref ref-type="bibr" rid="B44">Turner et al., 2014</xref>; <xref ref-type="bibr" rid="B24">Minamoto et al., 2016</xref>).</p>
<p>Many points regarding the general behavior of eDNA in water (reviewed in <xref ref-type="bibr" rid="B2">Barnes and Turner, 2016</xref>) are still unclear, especially the state (fragment length) and degradation of eDNA (<xref ref-type="bibr" rid="B45">Turner et al., 2015</xref>; reviewed in <xref ref-type="bibr" rid="B2">Barnes and Turner, 2016</xref>). Understanding eDNA states and degradation is essential for the effective sampling and storage of eDNA, and may provide pertinent information to better interpret the results of species distribution and abundance and biomass estimations. This may be especially problematic for rare and endangered species, which are thought to have small populations and small amounts (or concentrations) of DNA (<xref ref-type="bibr" rid="B12">Fukumoto et al., 2015</xref>; <xref ref-type="bibr" rid="B37">Sigsgaard et al., 2015</xref>; <xref ref-type="bibr" rid="B30">Pfleger et al., 2016</xref>; <xref ref-type="bibr" rid="B9">Doi et al., 2017</xref>; <xref ref-type="bibr" rid="B33">Sakata et al., 2017</xref>). Both factors can influence eDNA persistence, potentially inducing false negatives which impact accuracy in occurrence and distribution data.</p>
<p>Many experiments have been conducted to reveal the detailed states and degradation rates of eDNA under various conditions (<xref ref-type="bibr" rid="B41">Thomsen et al., 2012</xref>; <xref ref-type="bibr" rid="B3">Barnes et al., 2014</xref>; <xref ref-type="bibr" rid="B21">Maruyama et al., 2014</xref>; <xref ref-type="bibr" rid="B43">Tsuji et al., 2017</xref>; <xref ref-type="bibr" rid="B15">Jo et al., 2019</xref>). In most cases, the eDNA degradation curves declined exponentially and quickly, often in less than a week (<xref ref-type="bibr" rid="B41">Thomsen et al., 2012</xref>; <xref ref-type="bibr" rid="B3">Barnes et al., 2014</xref>). Earlier meta-analyses for eDNA degradation (<xref ref-type="bibr" rid="B5">Collins et al., 2018</xref>) found that water conditions, such as salinity (<xref ref-type="bibr" rid="B5">Collins et al., 2018</xref>), water temperature (<xref ref-type="bibr" rid="B43">Tsuji et al., 2017</xref>; <xref ref-type="bibr" rid="B15">Jo et al., 2019</xref>), and pH (<xref ref-type="bibr" rid="B3">Barnes et al., 2014</xref>; <xref ref-type="bibr" rid="B43">Tsuji et al., 2017</xref>), influenced the eDNA degradation rate. In addition, the characteristics of DNA itself, such as its measured amplicon length, affected the eDNA degradation rate (<xref ref-type="bibr" rid="B4">Bylemans et al., 2018</xref>; <xref ref-type="bibr" rid="B15">Jo et al., 2019</xref>). From the data so far (temperature and amplification length), it seems possible to predict the approximate degradation rate and estimate the state of eDNA. Therefore, we conducted a novel meta-analysis to model the effects of water conditions and DNA amplicon length on the eDNA degradation rate using data generated in previous eDNA degradation studies. The previous meta-analysis (<xref ref-type="bibr" rid="B5">Collins et al., 2018</xref>) used the half-life of the degradation curve as an index of degradation. Although half-life has the advantage of being more intuitively meaningful, we instead used here the degradation rate constants &#x201C;k&#x201D; because our model uses the degradation rate, not half-life.</p>
<p>Using this approach, we aimed to evaluate the effects of water conditions (i.e., ecosystem, source, temperature, and pH), and target DNA region on eDNA degradation in previously published data. Also, we tested the relationship between DNA amplicon length and eDNA degradation because degradation may differ with amplicon length. Specifically, we conducted a simulation to predict the maximum degradation rate using quantile regression modeling with temperature and DNA amplicon length.</p>
</sec>
<sec id="S2" sec-type="materials|methods">
<title>Materials and Methods</title>
<sec id="S2.SS1">
<title>Search Strategy</title>
<p>A Google Scholar search on September 9, 2020, using the search terms &#x201C;eDNA&#x201D; OR &#x201C;environmental DNA&#x201D; AND &#x201C;degradation&#x201D; OR &#x201C;decay&#x201D; OR &#x201C;decomposition,&#x201D; returned 11,300 hits. The initial filtering of the articles was based on their title; any articles that obviously had no relevance to eDNA degradation were discarded. After title screening, 1,000 articles remained. After abstract screening, 42 articles remained. We manually inspected these remaining articles and selected papers describing the degradation rate of eDNA using experiments or field settings (<xref ref-type="supplementary-material" rid="TS1">Supplementary Table 1</xref>). Upon completion of the screening process, we obtained relevant eDNA data from 28 articles (<xref ref-type="table" rid="T1">Table 1</xref> and <xref ref-type="supplementary-material" rid="TS1">Supplementary Table 1</xref>) for the meta-analysis.</p>
<table-wrap position="float" id="T1">
<label>TABLE 1</label>
<caption><p>The organisms, ecosystem types (Ecosystem), water source (Source), and PCR-amplified DNA regions by quantitative PCR (Region) for all papers analyzed in this meta-analysis.</p></caption>
<table cellspacing="5" cellpadding="5" frame="hsides" rules="groups">
<thead>
<tr>
<td valign="top" align="left"><bold>Organism</bold></td>
<td valign="top" align="center"><bold>Ecosystem</bold></td>
<td valign="top" align="center"><bold>Source</bold></td>
<td valign="top" align="center"><bold>Region</bold></td>
<td valign="top" align="left"><bold>References</bold></td>
<td valign="top" align="center"><bold>Year</bold></td>
<td valign="top" align="center"><bold>Study</bold></td>
</tr>
</thead>
<tbody>
<tr>
<td valign="top" align="left"><italic>Gasterosteus aculeatus</italic></td>
<td valign="top" align="center">Marine</td>
<td valign="top" align="center">Marine</td>
<td valign="top" align="center">CytB</td>
<td valign="top" align="left"><xref ref-type="bibr" rid="B41">Thomsen et al.</xref></td>
<td valign="top" align="center"><xref ref-type="bibr" rid="B41">2012</xref></td>
<td valign="top" align="center">1</td>
</tr>
<tr>
<td valign="top" align="left"><italic>Platichthys flesus</italic></td>
<td valign="top" align="center">Marine</td>
<td valign="top" align="center">Marine</td>
<td valign="top" align="center">CytB</td>
<td valign="top" align="left"><xref ref-type="bibr" rid="B41">Thomsen et al.</xref></td>
<td valign="top" align="center"><xref ref-type="bibr" rid="B41">2012</xref></td>
<td valign="top" align="center">1</td>
</tr>
<tr>
<td valign="top" align="left"><italic>Lepomis macrochirus</italic></td>
<td valign="top" align="center">Freshwater</td>
<td valign="top" align="center">Tap</td>
<td valign="top" align="center">CytB</td>
<td valign="top" align="left"><xref ref-type="bibr" rid="B21">Maruyama et al.</xref></td>
<td valign="top" align="center"><xref ref-type="bibr" rid="B21">2014</xref></td>
<td valign="top" align="center">2</td>
</tr>
<tr>
<td valign="top" align="left"><italic>Cyprinus carpio</italic></td>
<td valign="top" align="center">Freshwater</td>
<td valign="top" align="center">Well</td>
<td valign="top" align="center">CytB</td>
<td valign="top" align="left"><xref ref-type="bibr" rid="B3">Barnes et al.</xref></td>
<td valign="top" align="center"><xref ref-type="bibr" rid="B3">2014</xref></td>
<td valign="top" align="center">3</td>
</tr>
<tr>
<td valign="top" align="left"><italic>Lithobates catesbeianus</italic></td>
<td valign="top" align="center">Freshwater</td>
<td valign="top" align="center">Tap</td>
<td valign="top" align="center">CytB</td>
<td valign="top" align="left"><xref ref-type="bibr" rid="B38">Strickler et al.</xref></td>
<td valign="top" align="center"><xref ref-type="bibr" rid="B38">2015</xref></td>
<td valign="top" align="center">4</td>
</tr>
<tr>
<td valign="top" align="left"><italic>Cyprinus carpio</italic></td>
<td valign="top" align="center">Freshwater</td>
<td valign="top" align="center">Well</td>
<td valign="top" align="center">CytB</td>
<td valign="top" align="left"><xref ref-type="bibr" rid="B10">Eichmiller et al.</xref></td>
<td valign="top" align="center"><xref ref-type="bibr" rid="B10">2016</xref></td>
<td valign="top" align="center">5</td>
</tr>
<tr>
<td valign="top" align="left"><italic>Cyprinus carpio</italic></td>
<td valign="top" align="center">Freshwater</td>
<td valign="top" align="center">Lake</td>
<td valign="top" align="center">CytB</td>
<td valign="top" align="left"><xref ref-type="bibr" rid="B10">Eichmiller et al.</xref></td>
<td valign="top" align="center"><xref ref-type="bibr" rid="B10">2016</xref></td>
<td valign="top" align="center">5</td>
</tr>
<tr>
<td valign="top" align="left"><italic>Engraulis mordax</italic></td>
<td valign="top" align="center">Marine</td>
<td valign="top" align="center">Marine</td>
<td valign="top" align="center">D-loop</td>
<td valign="top" align="left"><xref ref-type="bibr" rid="B35">Sassoubre et al.</xref></td>
<td valign="top" align="center"><xref ref-type="bibr" rid="B35">2016</xref></td>
<td valign="top" align="center">6</td>
</tr>
<tr>
<td valign="top" align="left"><italic>Sardinops sagax</italic></td>
<td valign="top" align="center">Marine</td>
<td valign="top" align="center">Marine</td>
<td valign="top" align="center">D-loop</td>
<td valign="top" align="left"><xref ref-type="bibr" rid="B35">Sassoubre et al.</xref></td>
<td valign="top" align="center"><xref ref-type="bibr" rid="B35">2016</xref></td>
<td valign="top" align="center">6</td>
</tr>
<tr>
<td valign="top" align="left"><italic>Scomber japonicus</italic></td>
<td valign="top" align="center">Marine</td>
<td valign="top" align="center">Marine</td>
<td valign="top" align="center">COI</td>
<td valign="top" align="left"><xref ref-type="bibr" rid="B35">Sassoubre et al.</xref></td>
<td valign="top" align="center"><xref ref-type="bibr" rid="B35">2016</xref></td>
<td valign="top" align="center">6</td>
</tr>
<tr>
<td valign="top" align="left"><italic>Scomber japonicus</italic></td>
<td valign="top" align="center">Marine</td>
<td valign="top" align="center">Marine</td>
<td valign="top" align="center">COI</td>
<td valign="top" align="left"><xref ref-type="bibr" rid="B1">Andruszkiewicz et al.</xref></td>
<td valign="top" align="center"><xref ref-type="bibr" rid="B1">2017</xref></td>
<td valign="top" align="center">7</td>
</tr>
<tr>
<td valign="top" align="left"><italic>Zearaja maugeana</italic></td>
<td valign="top" align="center">Marine</td>
<td valign="top" align="center">Marine</td>
<td valign="top" align="center">ND4</td>
<td valign="top" align="left"><xref ref-type="bibr" rid="B49">Weltz et al.</xref></td>
<td valign="top" align="center"><xref ref-type="bibr" rid="B49">2017</xref></td>
<td valign="top" align="center">8</td>
</tr>
<tr>
<td valign="top" align="left"><italic>Chrysaora pacifica</italic></td>
<td valign="top" align="center">Marine</td>
<td valign="top" align="center">Marine</td>
<td valign="top" align="center">COI</td>
<td valign="top" align="left"><xref ref-type="bibr" rid="B23">Minamoto et al.</xref></td>
<td valign="top" align="center"><xref ref-type="bibr" rid="B23">2017</xref></td>
<td valign="top" align="center">9</td>
</tr>
<tr>
<td valign="top" align="left"><italic>Trachurus japonicus</italic></td>
<td valign="top" align="center">Marine</td>
<td valign="top" align="center">Marine</td>
<td valign="top" align="center">CytB</td>
<td valign="top" align="left"><xref ref-type="bibr" rid="B14">Jo et al.</xref></td>
<td valign="top" align="center"><xref ref-type="bibr" rid="B14">2017</xref></td>
<td valign="top" align="center">10</td>
</tr>
<tr>
<td valign="top" align="left"><italic>Plecoglossus altivelis</italic></td>
<td valign="top" align="center">Freshwater</td>
<td valign="top" align="center">River</td>
<td valign="top" align="center">CytB</td>
<td valign="top" align="left"><xref ref-type="bibr" rid="B43">Tsuji et al.</xref></td>
<td valign="top" align="center"><xref ref-type="bibr" rid="B43">2017</xref></td>
<td valign="top" align="center">11</td>
</tr>
<tr>
<td valign="top" align="left"><italic>Cyprinus carpio</italic></td>
<td valign="top" align="center">Freshwater</td>
<td valign="top" align="center">River</td>
<td valign="top" align="center">CytB</td>
<td valign="top" align="left"><xref ref-type="bibr" rid="B43">Tsuji et al.</xref></td>
<td valign="top" align="center"><xref ref-type="bibr" rid="B43">2017</xref></td>
<td valign="top" align="center">11</td>
</tr>
<tr>
<td valign="top" align="left"><italic>Margaritifera margaritifera</italic></td>
<td valign="top" align="center">Freshwater</td>
<td valign="top" align="center">River</td>
<td valign="top" align="center">NADH</td>
<td valign="top" align="left"><xref ref-type="bibr" rid="B34">Sansom and Sassoubre</xref></td>
<td valign="top" align="center"><xref ref-type="bibr" rid="B34">2017</xref></td>
<td valign="top" align="center">12</td>
</tr>
<tr>
<td valign="top" align="left"><italic>Carcinus maenas</italic></td>
<td valign="top" align="center">Marine</td>
<td valign="top" align="center">Marine</td>
<td valign="top" align="center">COI</td>
<td valign="top" align="left"><xref ref-type="bibr" rid="B5">Collins et al.</xref></td>
<td valign="top" align="center"><xref ref-type="bibr" rid="B5">2018</xref></td>
<td valign="top" align="center">13</td>
</tr>
<tr>
<td valign="top" align="left"><italic>Lipophrys pholis</italic></td>
<td valign="top" align="center">Marine</td>
<td valign="top" align="center">Marine</td>
<td valign="top" align="center">COI</td>
<td valign="top" align="left"><xref ref-type="bibr" rid="B5">Collins et al.</xref></td>
<td valign="top" align="center"><xref ref-type="bibr" rid="B5">2018</xref></td>
<td valign="top" align="center">13</td>
</tr>
<tr>
<td valign="top" align="left"><italic>Hypophthalmichthys nobilis</italic></td>
<td valign="top" align="center">Freshwater</td>
<td valign="top" align="center">Deionized</td>
<td valign="top" align="center">D-loop</td>
<td valign="top" align="left"><xref ref-type="bibr" rid="B18">Lance et al.</xref></td>
<td valign="top" align="center"><xref ref-type="bibr" rid="B18">2017</xref></td>
<td valign="top" align="center">14</td>
</tr>
<tr>
<td valign="top" align="left"><italic>Chionodraco rastrospinosus</italic></td>
<td valign="top" align="center">Marine</td>
<td valign="top" align="center">Marine</td>
<td valign="top" align="center">ND2</td>
<td valign="top" align="left"><xref ref-type="bibr" rid="B6">Cowart et al.</xref></td>
<td valign="top" align="center"><xref ref-type="bibr" rid="B6">2018</xref></td>
<td valign="top" align="center">15</td>
</tr>
<tr>
<td valign="top" align="left"><italic>Carassius auratus</italic></td>
<td valign="top" align="center">Freshwater</td>
<td valign="top" align="center">Tap</td>
<td valign="top" align="center">ITS</td>
<td valign="top" align="left"><xref ref-type="bibr" rid="B4">Bylemans et al.</xref></td>
<td valign="top" align="center"><xref ref-type="bibr" rid="B4">2018</xref></td>
<td valign="top" align="center">16</td>
</tr>
<tr>
<td valign="top" align="left"><italic>Neogobius melanostomus</italic></td>
<td valign="top" align="center">Freshwater</td>
<td valign="top" align="center">Lake</td>
<td valign="top" align="center">COI</td>
<td valign="top" align="left"><xref ref-type="bibr" rid="B28">Nevers et al.</xref></td>
<td valign="top" align="center"><xref ref-type="bibr" rid="B28">2018</xref></td>
<td valign="top" align="center">17</td>
</tr>
<tr>
<td valign="top" align="left"><italic>Cyprinus carpio</italic></td>
<td valign="top" align="center">Freshwater</td>
<td valign="top" align="center">River</td>
<td valign="top" align="center">CytB</td>
<td valign="top" align="left"><xref ref-type="bibr" rid="B29">Nukazawa et al.</xref></td>
<td valign="top" align="center"><xref ref-type="bibr" rid="B29">2018</xref></td>
<td valign="top" align="center">18</td>
</tr>
<tr>
<td valign="top" align="left"><italic>Grandidierella japonica</italic></td>
<td valign="top" align="center">Marine</td>
<td valign="top" align="center">Artificial seawater</td>
<td valign="top" align="center">COI</td>
<td valign="top" align="left"><xref ref-type="bibr" rid="B48">Wei et al.</xref></td>
<td valign="top" align="center"><xref ref-type="bibr" rid="B48">2018</xref></td>
<td valign="top" align="center">19</td>
</tr>
<tr>
<td valign="top" align="left"><italic>Trachurus japonicus</italic></td>
<td valign="top" align="center">Marine</td>
<td valign="top" align="center">Marine</td>
<td valign="top" align="center">CytB</td>
<td valign="top" align="left"><xref ref-type="bibr" rid="B15">Jo et al.</xref></td>
<td valign="top" align="center"><xref ref-type="bibr" rid="B15">2019</xref></td>
<td valign="top" align="center">20</td>
</tr>
<tr>
<td valign="top" align="left"><italic>Daphnia magna</italic></td>
<td valign="top" align="center">Freshwater</td>
<td valign="top" align="center">Tap</td>
<td valign="top" align="center">COI</td>
<td valign="top" align="left"><xref ref-type="bibr" rid="B27">Moushomi et al.</xref></td>
<td valign="top" align="center"><xref ref-type="bibr" rid="B27">2019</xref></td>
<td valign="top" align="center">21</td>
</tr>
<tr>
<td valign="top" align="left"><italic>Daphnia magna</italic></td>
<td valign="top" align="center">Freshwater</td>
<td valign="top" align="center">Tap</td>
<td valign="top" align="center">18S</td>
<td valign="top" align="left"><xref ref-type="bibr" rid="B27">Moushomi et al.</xref></td>
<td valign="top" align="center"><xref ref-type="bibr" rid="B27">2019</xref></td>
<td valign="top" align="center">21</td>
</tr>
<tr>
<td valign="top" align="left">cyanobacterial</td>
<td valign="top" align="center">Freshwater</td>
<td valign="top" align="center">Lake</td>
<td valign="top" align="center">16S</td>
<td valign="top" align="left"><xref ref-type="bibr" rid="B51">Zulkefli et al.</xref></td>
<td valign="top" align="center"><xref ref-type="bibr" rid="B51">2019</xref></td>
<td valign="top" align="center">22</td>
</tr>
<tr>
<td valign="top" align="left"><italic>Schistosoma mansoni</italic></td>
<td valign="top" align="center">Freshwater</td>
<td valign="top" align="center">Tap</td>
<td valign="top" align="center">COI</td>
<td valign="top" align="left"><xref ref-type="bibr" rid="B36">Sengupta et al.</xref></td>
<td valign="top" align="center"><xref ref-type="bibr" rid="B36">2019</xref></td>
<td valign="top" align="center">23</td>
</tr>
<tr>
<td valign="top" align="left"><italic>Trachurus japonicus</italic></td>
<td valign="top" align="center">Marine</td>
<td valign="top" align="center">Marine</td>
<td valign="top" align="center">CytB</td>
<td valign="top" align="left"><xref ref-type="bibr" rid="B13">Jo et al.</xref></td>
<td valign="top" align="center"><xref ref-type="bibr" rid="B13">2020</xref></td>
<td valign="top" align="center">24</td>
</tr>
<tr>
<td valign="top" align="left"><italic>Trachurus japonicus</italic></td>
<td valign="top" align="center">Marine</td>
<td valign="top" align="center">Marine</td>
<td valign="top" align="center">ITS</td>
<td valign="top" align="left"><xref ref-type="bibr" rid="B13">Jo et al.</xref></td>
<td valign="top" align="center"><xref ref-type="bibr" rid="B13">2020</xref></td>
<td valign="top" align="center">24</td>
</tr>
<tr>
<td valign="top" align="left"><italic>Styela clava</italic></td>
<td valign="top" align="center">Marine</td>
<td valign="top" align="center">Marine</td>
<td valign="top" align="center">COI</td>
<td valign="top" align="left"><xref ref-type="bibr" rid="B50">Wood et al.</xref></td>
<td valign="top" align="center"><xref ref-type="bibr" rid="B50">2020</xref></td>
<td valign="top" align="center">25</td>
</tr>
<tr>
<td valign="top" align="left"><italic>Spirographis spallanzani</italic></td>
<td valign="top" align="center">Marine</td>
<td valign="top" align="center">Marine</td>
<td valign="top" align="center">COI</td>
<td valign="top" align="left"><xref ref-type="bibr" rid="B50">Wood et al.</xref></td>
<td valign="top" align="center"><xref ref-type="bibr" rid="B50">2020</xref></td>
<td valign="top" align="center">25</td>
</tr>
<tr>
<td valign="top" align="left"><italic>Styela clava</italic></td>
<td valign="top" align="center">Marine</td>
<td valign="top" align="center">Marine</td>
<td valign="top" align="center">RNA</td>
<td valign="top" align="left"><xref ref-type="bibr" rid="B50">Wood et al.</xref></td>
<td valign="top" align="center"><xref ref-type="bibr" rid="B50">2020</xref></td>
<td valign="top" align="center">25</td>
</tr>
<tr>
<td valign="top" align="left"><italic>Spirographis spallanzani</italic></td>
<td valign="top" align="center">Marine</td>
<td valign="top" align="center">Marine</td>
<td valign="top" align="center">RNA</td>
<td valign="top" align="left"><xref ref-type="bibr" rid="B50">Wood et al.</xref></td>
<td valign="top" align="center"><xref ref-type="bibr" rid="B50">2020</xref></td>
<td valign="top" align="center">25</td>
</tr>
<tr>
<td valign="top" align="left"><italic>Anguilla japonica</italic></td>
<td valign="top" align="center">Freshwater</td>
<td valign="top" align="center">Tap</td>
<td valign="top" align="center">D-loop</td>
<td valign="top" align="left"><xref ref-type="bibr" rid="B17">Kasai et al.</xref></td>
<td valign="top" align="center"><xref ref-type="bibr" rid="B17">2020</xref></td>
<td valign="top" align="center">26</td>
</tr>
<tr>
<td valign="top" align="left"><italic>Rhinella marina</italic></td>
<td valign="top" align="center">Freshwater</td>
<td valign="top" align="center">Tap</td>
<td valign="top" align="center">16S</td>
<td valign="top" align="left"><xref ref-type="bibr" rid="B47">Villacorta-Rath et al.</xref></td>
<td valign="top" align="center"><xref ref-type="bibr" rid="B47">2020</xref></td>
<td valign="top" align="center">27</td>
</tr>
<tr>
<td valign="top" align="left"><italic>Trachurus japonicus</italic></td>
<td valign="top" align="center">Marine</td>
<td valign="top" align="center">Marine</td>
<td valign="top" align="center">CytB</td>
<td valign="top" align="left"><xref ref-type="bibr" rid="B32">Saito and Doi</xref></td>
<td valign="top" align="center"><xref ref-type="bibr" rid="B32">2020</xref></td>
<td valign="top" align="center">28</td>
</tr>
<tr>
<td valign="top" align="left"><italic>Cyprinus carpio</italic></td>
<td valign="top" align="center">Freshwater</td>
<td valign="top" align="center">Pond</td>
<td valign="top" align="center">CytB</td>
<td valign="top" align="left"><xref ref-type="bibr" rid="B32">Saito and Doi</xref></td>
<td valign="top" align="center"><xref ref-type="bibr" rid="B32">2020</xref></td>
<td valign="top" align="center">28</td>
</tr>
</tbody>
</table></table-wrap>
</sec>
<sec id="S2.SS2">
<title>Data Extraction</title>
<p>From the selected publications, we assembled a list of factors for eDNA degradation (<xref ref-type="supplementary-material" rid="TS1">Supplementary Table 1</xref>). We collected the following factors and categories: &#x201C;Ecosystem&#x201D; was divided into marine and freshwater. &#x201C;Source&#x201D; was categorized into water sources (Freshwater: river, lake, well water, pond, tap water, and deionized water; Marine: marine and artificial seawater). &#x201C;Temperature&#x201D; and &#x201C;pH&#x201D; refer to the water temperature and pH of the water sample for each experiment, respectively. &#x201C;Region&#x201D; and &#x201C;Amplicon length&#x201D; refer to the amplified DNA region used for quantitative PCR (qPCR) and the number of amplified-DNA bases targeted by the qPCR reaction (bp). &#x201C;Region&#x201D; was divided into mtDNA (COI, CytB, 16s, 18s, D-loop, NADH, ND2, ND4), nuDNA (ITS), and RNA. &#x201C;DNA type&#x201D; was divided into spike (i.e., the DNA contained in the environment water) and organism. &#x201C;Experiment type&#x201D; was divided into &#x201C;in tank&#x201D; and &#x201C;in field.&#x201D;</p>
<p>We extracted the simple exponential slope (hereafter referred to as &#x201C;degradation rate&#x201D;) from the article contents and/or plots according to the simple exponential equation (<xref ref-type="bibr" rid="B26">Motulsky and Christopoulos, 2003</xref>) in each experiment:</p>
<disp-formula id="S2.Ex1">
<mml:math id="M1">
<mml:mrow>
<mml:mpadded width="+3.3pt">
<mml:mi>C</mml:mi>
</mml:mpadded>
<mml:mo rspace="5.8pt">=</mml:mo>
<mml:mrow>
<mml:msub>
<mml:mi>C</mml:mi>
<mml:mrow>
<mml:mtext>o</mml:mtext>
</mml:mrow>
</mml:msub>
<mml:mo>&#x2062;</mml:mo>
<mml:msup>
<mml:mi>E</mml:mi>
<mml:mrow>
<mml:mi>k</mml:mi>
<mml:mo>&#x2062;</mml:mo>
<mml:mi>t</mml:mi>
</mml:mrow>
</mml:msup>
</mml:mrow>
</mml:mrow>
</mml:math>
</disp-formula>
<p>where C<sub>0</sub> is the eDNA concentration at time 0 (i.e., the initial eDNA concentration), and k is the degradation slope (rate) constant per hour. We used the standardized degradation rate per hour. The degradation rate by day was divided by 24 to calculate the degradation rate per hour.</p>
</sec>
<sec id="S2.SS3">
<title>Statistical Analysis and Simulation</title>
<p>We performed the statistical analysis and graphics using R ver. 4.0.2 (<xref ref-type="bibr" rid="B31">R Core Team, 2020</xref>). We tested the differences in the eDNA degradation rate in measured DNA regions and water resources using a linear mixed-effect model (LMM) using &#x201C;lme4&#x201D; ver. 1.1.23 package with &#x201C;lmerTest&#x201D; ver. 3.1.2 package in R. We excluded data points without temperature information in the statistical analyses. We set each study as a random effect. <xref ref-type="bibr" rid="B13">Jo et al. (2020)</xref> compared the degradation of mtDNA and nuDNA and found the difference. However, we could not analyze mtDNA and nuDNA due to the limited data.</p>
<p>We performed quantile models (QM) for 0.1, 0.5, and 0.95 quantiles for the regression. By performing 0.95 and 0.1 quantiles for the regression, we evaluated the maximum and minimum degradation rate. The 0.5-quantile used median for the regression, so almost similar to simple linear regression. We employed the Bayesian mixed-effect quantile model using the &#x201C;lqmm&#x201D; function of &#x201C;lqmm&#x201D; package ver. 1.5.5 in R. In the QM, we set water temperature and amplicon length as explanatory effects and each study as the random effect. We performed the Nelder&#x2013;Mead algorithm using 10000 MCMC permutations with the Gauss&#x2013;Hermite quadrature approach. We set the statistical alpha as 0.05 for parameter evaluation. We did not find a significant interaction (<italic>p</italic> &#x003E; 0.1) between water temperature and amplicon length, so we used the model excluding the interaction, i.e., eDNA degradation rate = water temperature + amplicon length. We evaluated the QM models using the Akaike information criteria (AIC), in which the best QM is identified by having the lowest AIC.</p>
<p>We simulated the combined effects of water temperature and amplicon length, using the obtained 0.95-quantile QM. We generated 100,000 random values for the combination of water temperature (ranging in published values from &#x2212;1 to 35 &#x00B0;C; see the results) and amplicon length used for the experiments (ranging in published values from 70 to 719) using &#x201C;runif&#x201D; function in R, which generates a random number from the Mersenne-Twister method. We used 100,000 random values to predict the eDNA degradation rate from the 0.95-quantile QM (see results).</p>
</sec>
</sec>
<sec id="S3">
<title>Results</title>
<sec id="S3.SS1">
<title>Degradation Rate Experiments From Literature</title>
<p>The number of obtained time points for the eDNA degradation data ranged from 3 to 25 (mean: 8.3, median: 8.0, <xref ref-type="supplementary-material" rid="TS1">Supplementary Table 1</xref>). Details of the sites are listed as water sources (<xref ref-type="table" rid="T1">Table 1</xref>). In total there were 21 marine sites, 1 artificial marine site, and 19 freshwater sites. Within the freshwater sites, there were 9 experiments that used tap or deionized water, 4 river sites, 3 lake sites, 2 well water sites, and 1 pond site. The temperature for the experiments ranged from &#x2212;1 to 35 &#x00B0;C (mean: 19, median: 20, <xref ref-type="supplementary-material" rid="TS1">Supplementary Table 1</xref>). The amplicon length used for the experiments ranged from 70 to 719 bp (mean: 150, median: 131, <xref ref-type="supplementary-material" rid="TS1">Supplementary Table 1</xref>), and the DNA fragment regions used were mainly Cyt B or COI regions in mtDNA (<xref ref-type="table" rid="T1">Table 1</xref>). Degradation experiments of nuDNA and RNA were very few data compared to mtDNA.</p>
</sec>
<sec id="S3.SS2">
<title>Degradation Rate</title>
<p>The observed degradation rate for the previously published eDNA data ranged from 0.0005 to 0.7010 (mean: 0.1317, median: 0.0440, <xref ref-type="supplementary-material" rid="TS1">Supplementary Table 1</xref>). Differences in PCR regions did not affect the rate of DNA degradation, nor did differences in water sources (<xref ref-type="fig" rid="F1">Figures 1A,B</xref>). Although the degradation rates for Tap and Marine water sources appear much higher than that observed for other sources, there were no significant differences among water sources, nor among taxa or PCR regions (LMM, <italic>t</italic> &#x003C; 1.859, <italic>p</italic> &#x003E; 0.07, <xref ref-type="fig" rid="F1">Figure 1</xref> and <xref ref-type="supplementary-material" rid="FS1">Supplementary Figure 1</xref>, respectively). With the limited data excluded, such as ND2, ND4 for PCR region and pond for water source, there were no significant differences among water sources (LMM, <italic>t</italic> &#x003C; 1.965, <italic>p</italic> &#x003E; 0.06, <xref ref-type="supplementary-material" rid="FS2">Supplementary Figure 2</xref>, respectively), but significant differences among PCR region (LMM, <italic>t</italic> = &#x2212;3.414, <italic>p</italic> = 0.002538, <xref ref-type="supplementary-material" rid="FS2">Supplementary Figure 2</xref>).</p>
<fig id="F1" position="float">
<label>FIGURE 1</label>
<caption><p>The eDNA degradation rate (simple exponential slope) with <bold>(A)</bold> DNA region and <bold>(B)</bold> water source. The degradation rate without temperature data in the experiment were excluded in the plot. The dots indicate the individual eDNA degradation rate in each experiment in different ecosystems. The boxes and bars in the box plot indicate median &#x00B1; inter-quartiles and &#x00B1; 1.5 &#x00D7; inter-quartiles, respectively.</p></caption>
<graphic xlink:href="fevo-09-623831-g001.tif"/>
</fig>
</sec>
<sec id="S3.SS3">
<title>Quantile Model for Temperature and Amplicon Length</title>
<p>The relationship between eDNA degradation rate and water temperature was significant in 0.95- quantile and showed that higher water temperatures accelerated eDNA degradation (<xref ref-type="fig" rid="F2">Figure 2A</xref>, <italic>p</italic> = 0.02004 and 0.5761 for 0.95- and 0.5- quantiles, respectively). Upon comparing the QM of 0. 1-, 0. 5-, and 0.95- quantiles, the QM with 0.95-quantile was observed to have the lowest AIC value (0.1-quantile: 41.82, 0.5-quantile: &#x2212;120.78, and 0.95-quantile: &#x2212;161.26), indicating that the best model for the relationship. Therefore, we simulated these data using the QM with a 0.95-quantile with a positive slope (slope = 0.020, <xref ref-type="fig" rid="F2">Figure 2A</xref>). The relationship between eDNA degradation rate and amplicon length suggests that longer amplicon length undergo greater eDNA degradation (<xref ref-type="fig" rid="F2">Figure 2B</xref>). For amplicon length, as for water temperature, the QM with 0.95-quantile had the lowest AIC value (0.1-quantile: 155.1, 0.5-quantile: &#x2212;110.2, and 0.95-quantile: &#x2212;145.6). Therefore, we simulated and discussed these data using the QM with a 0.95-quantile with a positive slope (slope = 0.225). We also showed the categories of water temperature range (divided into four levels: &#x2212;1, 0&#x2013;10, 11&#x2013;20, and &#x003E; 21 &#x00B0;C) and amplicon length (divided into three levels: 0&#x2013;100, 101&#x2013;200, and &#x003E; 201 bp) with eDNA degradation rate (<xref ref-type="supplementary-material" rid="FS3">Supplementary Figures 3</xref>, <xref ref-type="supplementary-material" rid="FS4">4</xref> respectively) with similar trends of <xref ref-type="fig" rid="F2">Figure 2</xref>.</p>
<fig id="F2" position="float">
<label>FIGURE 2</label>
<caption><p>The relationship between standardized eDNA degradation rate per hour (simple exponential slope) with <bold>(A)</bold> water temperature and <bold>(B)</bold> DNA amplicon length. The red and green lines show 0.95 and 0.5- quantile mixed-effect quantile models for each factor.</p></caption>
<graphic xlink:href="fevo-09-623831-g002.tif"/>
</fig>
</sec>
<sec id="S3.SS4">
<title>eDNA Degradation Simulation</title>
<p>Our QM simulation lead to plotting the eDNA degradation on a matrix of water temperature and amplicon length (<xref ref-type="fig" rid="F3">Figure 3</xref>), which showed that the water temperature had a great influence on the eDNA degradation rate. At lower (e.g., &#x2212;1 to 5 &#x00B0;C) and higher (e.g., 15 to 35 &#x00B0;C) water temperatures, our model predicted that amplicon length would have a smaller effect on the eDNA degradation rate, while at moderate (e.g., 5 to 15 &#x00B0;C) water temperatures, our prediction more clearly showed that the longer amplicon length would have a faster degradation rate. Thus, at moderate water temperatures, the amplicon length should also be considered in evaluating eDNA degradation.</p>
<fig id="F3" position="float">
<label>FIGURE 3</label>
<caption><p>The simulation result for predicting eDNA degradation rate on the matrix of water temperature and amplicon length.</p></caption>
<graphic xlink:href="fevo-09-623831-g003.tif"/>
</fig>
</sec>
</sec>
<sec id="S4">
<title>Discussion</title>
<p>Our meta-analysis results showed that eDNA degradation was accelerated in higher water temperatures and in longer amplicon length. These generally supported the effect of water temperature on the eDNA degradation rate in previous hypotheses for each condition and species (e. g., <xref ref-type="bibr" rid="B38">Strickler et al., 2015</xref>; <xref ref-type="bibr" rid="B10">Eichmiller et al., 2016</xref>; <xref ref-type="bibr" rid="B18">Lance et al., 2017</xref>; <xref ref-type="bibr" rid="B43">Tsuji et al., 2017</xref>; <xref ref-type="bibr" rid="B15">Jo et al., 2019</xref>; <xref ref-type="bibr" rid="B17">Kasai et al., 2020</xref>). Previous studies have assumed that water temperature does not directly affect eDNA degradation, but indirectly affects it through enzymatic hydrolysis by microbes and extracellular nucleases (reviewed in <xref ref-type="bibr" rid="B2">Barnes and Turner, 2016</xref>). At high temperatures, with increasing activity of microorganisms and extracellular enzymes, the eDNA in water would degrade more quickly (reviewed in <xref ref-type="bibr" rid="B2">Barnes and Turner, 2016</xref>). Our meta-analysis results showed that there were no significant differences between laboratory water (purified or tap water) and environmental water (seawater or freshwater). This may indicate the enzymes and bacteria possessed by experimental organisms affected the eDNA degradation. In fact, the degradation experiment, which intracellular DNA and fragmented DNA were added to purified water, showed that intracellular and fragments DNA were not degraded in the water for a week (<xref ref-type="bibr" rid="B32">Saito and Doi, 2020</xref>).</p>
<p>Evidence from previous studies suggested that, in eDNA samples, long amplicon length are less likely to be detected than short amplicon (<xref ref-type="bibr" rid="B14">Jo et al., 2017</xref>). Our meta-analysis supports these previous results. A possible explanation is provided by <xref ref-type="bibr" rid="B14">Jo et al. (2017)</xref>, in which it was suggested that the DNA degradation rate was higher in longer amplicon length (719 bp) than in shorter amplicon (127 bp). Our simulation by QM indicated that shorter amplicon lengths were more likely to be detected when eDNA degradation was less affected by water temperature. When the eDNA degradation rates were very fast or very slow due to water temperature (e.g., 15 to 35 &#x00B0;C or 0 to 5&#x00B0;C, respectively), the amplicon length had a smaller effect on eDNA degradation than at other water temperature ranges. In higher temperatures, microbial activity that breaks down DNA is occurring fast on both large and short DNA fragments, such that both classes of fragments are not detectable by either a large or small fragment amplicon assay at a similar rate. Whereas in colder temperatures, both fragment classes are degraded at lower rates, and thus it is possible that the longer fragments are able to last longer than under warmer conditions, thus remaining detectable for longer (suggesting a slower decay rate).</p>
<p>In our meta-analysis, we evaluated amplicon lengths ranging from 70 to 719 bp, but there were no experiments in which longer amplicon were measured. Recently, however, long range PCR was used to amplify full mitogenomes from eDNA samples (<xref ref-type="bibr" rid="B7">Deiner et al., 2017a</xref>,<xref ref-type="bibr" rid="B8">b</xref>). Additional investigation is needed to better understand retention of such extremely long DNA (&#x003E;16,000 bps), and the role of degradation in these cases.</p>
</sec>
<sec id="S5">
<title>Conclusion</title>
<p>In conclusion, our meta-analysis results showed that eDNA degradation was accelerated in higher water temperatures and in longer DNA amplicon. We predicted the combined effects of water temperature and amplicon length on the maximum eDNA degradation rate. Our meta-analysis and simulation provided new insights for future eDNA studies. We should note the limitations: The number of papers used for our meta-analysis was limited to 28 studies, and the data was limited especially for other environmental factors, such as UV, pH, and salinity, which are important factors for eDNA degradation (<xref ref-type="bibr" rid="B3">Barnes et al., 2014</xref>; <xref ref-type="bibr" rid="B18">Lance et al., 2017</xref>; <xref ref-type="bibr" rid="B43">Tsuji et al., 2017</xref>; <xref ref-type="bibr" rid="B5">Collins et al., 2018</xref>; <xref ref-type="bibr" rid="B19">M&#x00E4;chler et al., 2018</xref>). When data such as UV, pH, and salinity are obtained in addition to water temperature, more complex phenomena can be evaluated to determine the eDNA degradation rate in water. A greater understanding and accumulation of eDNA degradation data would improve future eDNA methods.</p>
</sec>
<sec id="S6">
<title>Data Availability Statement</title>
<p>The original contributions presented in the study are included in the article/<xref ref-type="supplementary-material" rid="FS1">Supplementary Material</xref>, further inquiries can be directed to the corresponding author.</p>
</sec>
<sec id="S7">
<title>Author Contributions</title>
<p>TS and HD designed the study, analyzed the data, interpreted the results, and wrote the manuscript. TS collected the data. Both authors contributed to the article and approved the submitted version.</p>
</sec>
<sec sec-type="COI-statement" id="conf1">
<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>
</body>
<back>
<fn-group>
<fn fn-type="financial-disclosure">
<p><bold>Funding.</bold> This study was supported by the Environment Research and Technology Development Fund (JPMEERF20204004).</p>
</fn>
</fn-group>
<ack>
<p>We thank the authors of all the articles used for the meta-analysis.</p>
</ack>
<sec id="S10" sec-type="supplementary material"><title>Supplementary Material</title>
<p>The Supplementary Material for this article can be found online at: <ext-link ext-link-type="uri" xlink:href="https://www.frontiersin.org/articles/10.3389/fevo.2021.623831/full#supplementary-material">https://www.frontiersin.org/articles/10.3389/fevo.2021.623831/full#supplementary-material</ext-link></p>
<supplementary-material xlink:href="Data_Sheet_1.docx" id="FS1" mimetype="application/vnd.openxmlformats-officedocument.wordprocessingml.document" xmlns:xlink="http://www.w3.org/1999/xlink">
<label>Supplementary Figure 1</label>
<caption><p>The eDNA degradation rate (simple exponential slope) with the targeted taxon group. The dots indicate the individual eDNA degradation rate in each experiment. The boxes and bars in the box plot indicate median &#x00B1; inter-quartiles and &#x00B1; 1.5 &#x00D7; inter-quartiles, respectively.</p></caption>
</supplementary-material>
<supplementary-material xlink:href="Data_Sheet_1.docx" id="FS2" mimetype="application/vnd.openxmlformats-officedocument.wordprocessingml.document" xmlns:xlink="http://www.w3.org/1999/xlink">
<label>Supplementary Figure 2</label>
<caption><p>The eDNA degradation rate (simple exponential slope) with (A) DNA region and (B) water source. In the plot, the limited data were excluded; NADH, D-loop, ND2, and ND4 for PCR region and pond, well for water source. The dots indicate the individual eDNA degradation rate in each experiment in different ecosystems. The boxes and bars in the box plot indicate median &#x00B1; inter-quartiles and &#x00B1; 1.5 &#x00D7; inter-quartiles, respectively.</p></caption>
</supplementary-material>
<supplementary-material xlink:href="Data_Sheet_1.docx" id="FS3" mimetype="application/vnd.openxmlformats-officedocument.wordprocessingml.document" xmlns:xlink="http://www.w3.org/1999/xlink">
<label>Supplementary Figure 3</label>
<caption><p>The eDNA degradation rate (simple exponential slope) with temperature category. The temperature categories are divided into four levels: &#x2212;1, 0&#x2013;10, 11&#x2013;20, and &#x003E; 21 &#x00B0;C. The dots indicate the individual eDNA degradation rate in each experiment in different ecosystems. The boxes and bars in the box plot indicate median &#x00B1; inter-quartiles and &#x00B1; 1.5 &#x00D7; inter-quartiles, respectively.</p></caption>
</supplementary-material>
<supplementary-material xlink:href="Data_Sheet_1.docx" id="FS4" mimetype="application/vnd.openxmlformats-officedocument.wordprocessingml.document" xmlns:xlink="http://www.w3.org/1999/xlink">
<label>Supplementary Figure 4</label>
<caption><p>The eDNA degradation rate (simple exponential slope) with amplicon length category. The amplicon length categories are divided into three levels: 0&#x2013;100, 101&#x2013;200, and &#x003E; 201. The dots indicate the individual eDNA degradation rate in each experiment in different ecosystems. The boxes and bars in the box plot indicate median &#x00B1; inter-quartiles and &#x00B1; 1.5 &#x00D7; inter-quartiles, respectively.</p></caption>
</supplementary-material>
<supplementary-material xlink:href="Table_1.xlsx" id="TS1" mimetype="application/vnd.openxmlformats-officedocument.spreadsheetml.sheet" xmlns:xlink="http://www.w3.org/1999/xlink">
<label>Supplementary Table 1</label>
<caption><p>All data analyzed in this meta-analysis.</p></caption>
</supplementary-material>
</sec>
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