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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.2021.786436</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>Study on the Potential Distribution of <italic>Leptinotarsa decemlineata</italic> and Its Natural Enemy <italic>Picromerus bidens</italic> Under Climate Change</article-title>
</title-group>
<contrib-group>
<contrib contrib-type="author">
<name><surname>Gao</surname> <given-names>Xinyue</given-names></name>
<xref ref-type="aff" rid="aff1"><sup>1</sup></xref>
<uri xlink:href="http://loop.frontiersin.org/people/1496566/overview"/>
</contrib>
<contrib contrib-type="author">
<name><surname>Zhao</surname> <given-names>Qing</given-names></name>
<xref ref-type="aff" rid="aff1"><sup>1</sup></xref>
<uri xlink:href="http://loop.frontiersin.org/people/1560242/overview"/>
</contrib>
<contrib contrib-type="author" corresp="yes">
<name><surname>Wei</surname> <given-names>Jiufeng</given-names></name>
<xref ref-type="aff" rid="aff1"><sup>1</sup></xref>
<xref ref-type="corresp" rid="c001"><sup>&#x002A;</sup></xref>
<xref ref-type="author-notes" rid="fn001"><sup>&#x2020;</sup></xref>
<uri xlink:href="http://loop.frontiersin.org/people/1116246/overview"/>
</contrib>
<contrib contrib-type="author" corresp="yes">
<name><surname>Zhang</surname> <given-names>Hufang</given-names></name>
<xref ref-type="aff" rid="aff2"><sup>2</sup></xref>
<xref ref-type="corresp" rid="c002"><sup>&#x002A;</sup></xref>
<xref ref-type="author-notes" rid="fn001"><sup>&#x2020;</sup></xref>
</contrib>
</contrib-group>
<aff id="aff1"><sup>1</sup><institution>College of Plant Protection, Shanxi Agricultural University</institution>, <addr-line>Jinzhong</addr-line>, <country>China</country></aff>
<aff id="aff2"><sup>2</sup><institution>Department of Biology, Xinzhou Teachers University</institution>, <addr-line>Xinzhou</addr-line>, <country>China</country></aff>
<author-notes>
<fn fn-type="edited-by"><p>Edited by: Paulo AV Borges, University of the Azores, Portugal</p></fn>
<fn fn-type="edited-by"><p>Reviewed by: Divina Medina Amalin, De La Salle University, Philippines; Marco Cabrera Brandt, University of Talca, Chile</p></fn>
<corresp id="c001">&#x002A;Correspondence: Jiufeng Wei, <email>wjfeng@nwsuaf.edu.cn</email></corresp>
<corresp id="c002">Hufang Zhang, <email>zh_hufang@sohu.com</email></corresp>
<fn fn-type="equal" id="fn001"><p><sup>&#x2020;</sup>These authors have contributed equally to this work</p></fn>
<fn fn-type="other" id="fn004"><p>This article was submitted to Models in Ecology and Evolution, a section of the journal Frontiers in Ecology and Evolution</p></fn>
</author-notes>
<pub-date pub-type="epub">
<day>14</day>
<month>01</month>
<year>2022</year>
</pub-date>
<pub-date pub-type="collection">
<year>2021</year>
</pub-date>
<volume>9</volume>
<elocation-id>786436</elocation-id>
<history>
<date date-type="received">
<day>30</day>
<month>09</month>
<year>2021</year>
</date>
<date date-type="accepted">
<day>22</day>
<month>12</month>
<year>2021</year>
</date>
</history>
<permissions>
<copyright-statement>Copyright &#x00A9; 2022 Gao, Zhao, Wei and Zhang.</copyright-statement>
<copyright-year>2022</copyright-year>
<copyright-holder>Gao, Zhao, Wei and Zhang</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>The Colorado potato beetle (CPB), scientifically known as <italic>Leptinotarsa decemlineata</italic>, is a destructive quarantine pest that has invaded more than 40 countries and regions worldwide. It causes a 20&#x2013;100% reduction in plant production, leading to severe economic losses. <italic>Picromerus bidens</italic> L. is a predatory insect that preys on CPB. This study used the MaxEnt model to predict the current and future potential distribution areas of CPB and <italic>P. bidens</italic> under different climatic scenarios to determine the possibility of using <italic>P. bidens</italic> as a natural enemy to control CPB. The possible introduction routes of CPB and <italic>P. bidens</italic> were subsequently predicted by combining their potential distribution with the current distribution of airports and ports. Notably, the potential distribution area of <italic>P. bidens</italic> was similar to that of CPB, suggesting that <italic>P. bidens</italic> could be used as a natural enemy to control CPB. Future changes in the suitable growth areas of CPB under different climate scenarios increased and decreased but were insignificant, while those of <italic>P. bidens</italic> decreased. Consequently, a reduction of the suitable habitats of <italic>P. bidens</italic> may cause a decrease in its population density, leading to a lack of adequate and timely prevention and control of invasive pests. Active measures should thus be enacted to minimize global warming and protect biodiversity. This study provides a theoretical basis and data support for early warning, monitoring, and control of the CPB spread.</p>
</abstract>
<kwd-group>
<kwd>MaxEnt</kwd>
<kwd>climate change</kwd>
<kwd>Ecological niche model</kwd>
<kwd>centroids movement</kwd>
<kwd>invasive species</kwd>
<kwd>biological control</kwd>
</kwd-group>
<counts>
<fig-count count="12"/>
<table-count count="2"/>
<equation-count count="0"/>
<ref-count count="56"/>
<page-count count="14"/>
<word-count count="6870"/>
</counts>
</article-meta>
</front>
<body>
<sec id="S1" sec-type="intro">
<title>Introduction</title>
<p>Global warming has become a major climate change issue during the last century (<xref ref-type="bibr" rid="B42">Stocker et al., 2013</xref>). These changes have affected the distribution patterns of organisms, leading to changes in the suitable areas of species and biodiversity reduction. The impact of climate change on insects is particularly important, and climate change can directly or indirectly affect the distribution and number of insects (for example, by changing the emergence of species and hosts), so simulating how climate change affects invasive pests and their natural enemies can provide important information for controlling and managing the spread of these pests and introducing natural enemies (<xref ref-type="bibr" rid="B53">Wei et al., 2020</xref>). Economic globalization has also accelerated the spread of invasive species, resulting in serious economic losses. The Colorado potato beetle (CPB), scientifically known as <italic>Leptinotarsa decemlineata</italic> Say, is a destructive quarantine pest whose main hosts are the Solanaceae species such as potato (<italic>Solanum tuberosum</italic> L.) (<xref ref-type="bibr" rid="B15">Guo et al., 2010</xref>).</p>
<p>CPB has strong autonomous diffusion (<xref ref-type="bibr" rid="B4">Casagrande, 1985</xref>, <xref ref-type="bibr" rid="B5">2014</xref>) and adaptability abilities (<xref ref-type="bibr" rid="B52">Weber, 2003</xref>, <xref ref-type="bibr" rid="B22">Jiao, 2016</xref>). It was first identified in the Rocky Mountains of North America while feeding on the wild plant <italic>Solanum rostratum</italic> D. CPB mostly spreads out with potato as its host plant because it is widely planted as an important economic crop (<xref ref-type="bibr" rid="B21">Jacques, 1985</xref>; <xref ref-type="bibr" rid="B5">Casagrande, 2014</xref>). CPB has gradually spread from North America to more than 40 countries across Europe, Asia, and Africa in the past century. CPB can have 1&#x2013;4 generations in 1 year depending on the geographic distribution (<xref ref-type="bibr" rid="B18">Hare, 1990</xref>). The adults overwintered at 10&#x2013;60 cm below the soil and mostly at 10&#x2013;30 cm. The overwintering depth was related to the soil texture and deeper in sandy loam (<xref ref-type="bibr" rid="B45">Tuerxun et al., 2010</xref>). After overwintering, adults feed, mate and lay eggs on the back of host plant leaves. The egg period is 5 for 7 days, and then the larvae and the overwintering adults feed heavily on the leaves of the host crops (mainly potato), which can cause great harm to the crop hosts in spring (<xref ref-type="bibr" rid="B39">Pulatov et al., 2016</xref>). CPB can reduce potato yield by 20&#x2013;100%, resulting in serious economic losses (<xref ref-type="bibr" rid="B3">Caprio, 1987</xref>; <xref ref-type="bibr" rid="B5">Casagrande, 2014</xref>). CPB control includes plant quarantine, agricultural, physical, biological, and chemical control, though chemical control remains the main method (<xref ref-type="bibr" rid="B47">Wang, 2017</xref>). However, the effect of chemicals has been significantly reduced by the over-dependence on chemicals and the strong adaptability of CPB (<xref ref-type="bibr" rid="B8">Cutler et al., 2005</xref>; <xref ref-type="bibr" rid="B34">Malekmohammadi et al., 2012</xref>; <xref ref-type="bibr" rid="B41">Rinkevich et al., 2012</xref>; <xref ref-type="bibr" rid="B43">Szendrei et al., 2012</xref>). Numerous studies postulate that CPB has developed resistance to most registered insecticides (<xref ref-type="bibr" rid="B26">Li, 2014</xref>). It is thus necessary to actively develop new technologies that can partially replace chemical control or complement chemical control technologies in CPB control (<xref ref-type="bibr" rid="B26">Li, 2014</xref>). Numerous studies focusing on biological control technologies have been carried out in China and abroad, mainly on utilizing natural enemy resources. This study explored the biological prevention of CPB using a modeling approach to assess the distribution of CPB and its natural enemy, <italic>Picromerus bidens</italic> (<italic>P. bidens</italic>).</p>
<p><italic>Picromerus bidens</italic> L. is a predatory insect belonging to the family Pentatomidae in the order Hemiptera. It mainly preys on the larvae of insects in the order Lepidoptera, Hymenoptera, and Coleoptera, and sometimes on their pupae and adults. It is widely distributed in the western parts of the Palearctic, including Europe, China, and North Africa (<xref ref-type="bibr" rid="B1">Ahmad and &#x00D6;nder, 1990</xref>; <xref ref-type="bibr" rid="B25">Legaspi et al., 1996</xref>; <xref ref-type="bibr" rid="B9">De Clercq, 2000</xref>). It likes fresh, cool and humid areas (<xref ref-type="bibr" rid="B24">Larivi&#x00E8;re and Larochelle, 1989</xref>), mainly growing in moist bushes and forests more than 2 m above the ground (<xref ref-type="bibr" rid="B7">&#x010C;okl et al., 2011</xref>). Adjacent fresh vegetation is important for the successful development of nymphs and adults, as well as for reproductive activities (<xref ref-type="bibr" rid="B33">Mahdian et al., 2008</xref>). The <italic>P. bidens</italic> has univoltine (one brood per year) life cycle with obligate embryonic diapause and overwinters primarily at the egg stage (<xref ref-type="bibr" rid="B13">Ganyukova et al., 2020</xref>). Nymphs hatch in spring. During the I-age, the nymphs live closely together and gather together, and the size varies with the number of eggs in each batch. Ii-instar nymphs also tend to live in groups, living in groups of 3&#x2013;56 individuals, and the activity and mobility of nymphs increase from iii to v-age (<xref ref-type="bibr" rid="B6">Cianferoni and Dioli, 2019</xref>). The I-instar nymph does not eat, but only absorbs water (<xref ref-type="bibr" rid="B9">De Clercq, 2000</xref>) or absorbs liquids from plant diversity. Second or third instar nymphs begin to prey (<xref ref-type="bibr" rid="B6">Cianferoni and Dioli, 2019</xref>). <italic>P. bidens</italic> is long known as an active predator for caterpillars and other insects with soft cover (<xref ref-type="bibr" rid="B36">Mayn&#x00E9; and Breny, 1948</xref>). The <italic>P. bidens</italic> has been studied as suitable as agents of biological control of CPB since 1997 (<xref ref-type="bibr" rid="B46">Volkov et al., 2013</xref>). <xref ref-type="bibr" rid="B46">Volkov et al. (2013)</xref> in laboratory and field researches the ability of <italic>P. bidens</italic> to reduce the number of CPB larvae on potato plants was established.</p>
<p>Species Distribution Models (SDMs), also called Ecological Niche Models (ENMs use species distribution data and related environmental variables to infer the current ecological needs of the species through differential algorithms. These models are projected to the research area set at different times and spaces to obtain the species&#x2019; potential distribution area in the study area (<xref ref-type="bibr" rid="B10">Elith et al., 2006</xref>). Currently, SDMs are widely used in various disciplines, such as ecology, biological invasion, and conservation biology. The MaxEnt software has become more popular because of its stable performance and user-friendly interface (<xref ref-type="bibr" rid="B28">Liu et al., 2020</xref>) compared to other models. It has been widely used in predicting the potential distribution areas of plants, animals, and microorganisms.</p>
<p>This study predicted the potential distribution areas of CPB and <italic>P. bidens</italic> using the distribution data and environmental variables to explore the possibility of <italic>P. bidens</italic> being a natural enemy of CPB. It also comparatively analyzed the diffusion dynamics in the suitable zone of CPB and <italic>P. bidens</italic> under different climatic scenarios (SSP1-2.6, SSP2-4.5, SSP3-7.0, SSP5-8.5) for the future (2021&#x2013;2100 years). This study provides a theoretical basis and data support for early warning, monitoring, and control of the CPB spread.</p>
</sec>
<sec id="S2" sec-type="materials|methods">
<title>Materials and Methods</title>
<sec id="S2.SS1">
<title>Occurrence Data</title>
<p>The CPB and <italic>P. bidens</italic> distribution data were obtained from the Global Biodiversity Information Facility database (<xref ref-type="bibr" rid="B14">GBIF, 2020</xref>) and the existing relevant literature in China and abroad. The packet &#x201C;dismo&#x201D; was employed to filter out the distribution points where the coordinates were duplicated, missing, and inaccurate to reduce the influence of acquisition preference on the model. Spatial autocorrelation was avoided using the SDM Toolbox v2.4 of ArcGIS10.7 to spatially rarefy the occurrence data and set the minimum distance between each record as 10 km to improve the quality of the model. The final data was subsequently saved in the CSV format as required by the model. The final data were then imported into ArcGIS 10.7 to obtain the global distribution records of CPB and <italic>P. bidens</italic> (<xref ref-type="fig" rid="F1">Figure 1</xref>). The records included 2,093 CPB and 1,623 <italic>P. bidens</italic> distribution sites.</p>
<fig id="F1" position="float">
<label>FIGURE 1</label>
<caption><p>Worldwide geographic distribution records of CPB and <italic>P. bidens</italic>.</p></caption>
<graphic mimetype="image" mime-subtype="tiff" xlink:href="fevo-09-786436-g001.tif"/>
</fig>
<p>The global airport geo-reference list was obtained from <xref ref-type="bibr" rid="B37">Nature Earth (2009)</xref>. Small and medium-sized airports were excluded in the analysis leaving only the large airports. The list of the geographical locations of the ports was obtained from the WFP GeoNode database (<xref ref-type="bibr" rid="B55">WFP GeoNode, 2017</xref>). The binary map was subsequently intersected with the airports and ports information to determine the possible CPB and <italic>P. bidens</italic> introduction routes (<xref ref-type="bibr" rid="B35">Marchioro and Krechemer, 2021</xref>).</p>
</sec>
<sec id="S2.SS2">
<title>Environmental Variables</title>
<p>The environmental variables used in this study were mainly divided into three parts:</p>
<p>(i) Climate variables which were obtained from the WorldClim database (<xref ref-type="bibr" rid="B56">WorldClim, 2020</xref>). They included 19 bioclimatic variables (BIO1- BIO19) and one elevation dataset for current and future climatic scenarios, with a spatial resolution of 2.5 arc-minute (about 5 km at the equator). The future climatic conditions datasets were obtained from the CMIP6 global climate model, BCC- CSM2- MR dataset, with a spatial resolution of 2.5 arc-minute (about 5 km at the equator). The datasets included the biomass climate variables of 2021&#x2013;2100 under four climatic scenarios: SSP1- 2.6, SSP2-4.5, SSP3-7.0, and SSP5-8.5.</p>
<p>(ii) Two topographic factors: slope and aspect, extracted from the QGIS3.12.2 version based on the altitude of the sites.</p>
<p>(iii) Soil data derived from the Harmonized World Soil Database (<xref ref-type="bibr" rid="B20">HWSD, 2008</xref>). The soil&#x2019;s available water content (AWC_CLASS) and five upper soil attributes, including T_ TEXTURE, T_PH_H2O, T_SAND, T_ OC, and T_CLAY) were selected from the soil variables and used for further modeling based on the physiological and biochemical characteristics of CPB. Raster data with a spatial resolution of 30 s (about 1 km at the equator) were downloaded and were subsequently resampled to a resolution of 2.5 arc-minute in ArcGIS 10.7. Previous studies postulate that the overwintering adult mortality of CPB is closely related to soil type (<xref ref-type="bibr" rid="B27">Liang et al., 1999</xref>; <xref ref-type="bibr" rid="B45">Tuerxun et al., 2010</xref>). However, the growth and development process of <italic>P. bidens</italic> is not significantly influenced by the soil characteristics. This study, therefore, only applied the soil variables for modeling purposes.</p>
<p>Principal component analysis using IBM SPSS Statistics 24 was employed to screen the environmental variables with a low correlation but a high significance to avoid over-fitting of the model (<xref ref-type="bibr" rid="B12">Fan et al., 2020</xref>). Seven environmental variables, including Mean temperature of coldest quarter (bio11), Precipitation of dnest quarter (bio17), Precipitation of Warmest Quarter (bio18), elve, slope, T_SAND, and T_OC, were selected from 28 environmental factors for CPB modeling (<xref ref-type="table" rid="T1">Table 1</xref>). Similarly, five environmental variables, including Mean temperature of driest quarter (bio9), Mean temperature of warmest quarter (bio10), Precipitation Seasonality (bio15), Precipitation of Warmest Quarter (bio18), and elve, were selected from 22 environmental factors for <italic>P. bidens</italic> modeling (<xref ref-type="table" rid="T2">Table 2</xref>).</p>
<table-wrap position="float" id="T1">
<label>TABLE 1</label>
<caption><p>Component matrix of CPB.</p></caption>
<table cellspacing="5" cellpadding="5" frame="hsides" rules="groups">
<thead>
<tr>
<td/>
<td valign="top" align="center" colspan="7">Principal component<hr/></td>
</tr>
<tr>
<td/>
<td valign="top" align="center">1</td>
<td valign="top" align="center">2</td>
<td valign="top" align="center">3</td>
<td valign="top" align="center">4</td>
<td valign="top" align="center">5</td>
<td valign="top" align="center">6</td>
<td valign="top" align="center">7</td>
</tr>
</thead>
<tbody>
<tr>
<td valign="top" align="left">aspect</td>
<td valign="top" align="center">&#x2212;0.013</td>
<td valign="top" align="center">&#x2212;0.083</td>
<td valign="top" align="center">&#x2212;0.013</td>
<td valign="top" align="center">&#x2212;0.029</td>
<td valign="top" align="center">&#x2212;0.032</td>
<td valign="top" align="center">0.353</td>
<td valign="top" align="center">0.123</td>
</tr>
<tr>
<td valign="top" align="left">awc</td>
<td valign="top" align="center">0.250</td>
<td valign="top" align="center">&#x2212;0.229</td>
<td valign="top" align="center">&#x2212;0.037</td>
<td valign="top" align="center">&#x2212;0.342</td>
<td valign="top" align="center">0.328</td>
<td valign="top" align="center">0.272</td>
<td valign="top" align="center">0.213</td>
</tr>
<tr>
<td valign="top" align="left">bio1</td>
<td valign="top" align="center">0.894</td>
<td valign="top" align="center">0.253</td>
<td valign="top" align="center">&#x2212;0.087</td>
<td valign="top" align="center">0.060</td>
<td valign="top" align="center">&#x2212;0.310</td>
<td valign="top" align="center">&#x2212;0.117</td>
<td valign="top" align="center">0.001</td>
</tr>
<tr>
<td valign="top" align="left">bio2</td>
<td valign="top" align="center">0.339</td>
<td valign="top" align="center">0.682</td>
<td valign="top" align="center">0.456</td>
<td valign="top" align="center">&#x2212;0.117</td>
<td valign="top" align="center">&#x2212;0.032</td>
<td valign="top" align="center">0.070</td>
<td valign="top" align="center">0.271</td>
</tr>
<tr>
<td valign="top" align="left">bio3</td>
<td valign="top" align="center">0.874</td>
<td valign="top" align="center">0.265</td>
<td valign="top" align="center">&#x2212;0.095</td>
<td valign="top" align="center">&#x2212;0.114</td>
<td valign="top" align="center">0.112</td>
<td valign="top" align="center">0.074</td>
<td valign="top" align="center">0.031</td>
</tr>
<tr>
<td valign="top" align="left">bio4</td>
<td valign="top" align="center">&#x2212;0.731</td>
<td valign="top" align="center">0.288</td>
<td valign="top" align="center">0.564</td>
<td valign="top" align="center">0.037</td>
<td valign="top" align="center">&#x2212;0.126</td>
<td valign="top" align="center">0.031</td>
<td valign="top" align="center">0.137</td>
</tr>
<tr>
<td valign="top" align="left">bio5</td>
<td valign="top" align="center">0.459</td>
<td valign="top" align="center">0.635</td>
<td valign="top" align="center">0.394</td>
<td valign="top" align="center">0.054</td>
<td valign="top" align="center">&#x2212;<bold>0</bold>.416</td>
<td valign="top" align="center">&#x2212;0.026</td>
<td valign="top" align="center">0.201</td>
</tr>
<tr>
<td valign="top" align="left">bio6</td>
<td valign="top" align="center">0.814</td>
<td valign="top" align="center">&#x2212;0.168</td>
<td valign="top" align="center">&#x2212;0.502</td>
<td valign="top" align="center">0.062</td>
<td valign="top" align="center">&#x2212;0.134</td>
<td valign="top" align="center">&#x2212;0.069</td>
<td valign="top" align="center">&#x2212;0.131</td>
</tr>
<tr>
<td valign="top" align="left">bio7</td>
<td valign="top" align="center">&#x2212;0.487</td>
<td valign="top" align="center">0.494</td>
<td valign="top" align="center">0.666</td>
<td valign="top" align="center">&#x2212;0.027</td>
<td valign="top" align="center">&#x2212;0.103</td>
<td valign="top" align="center">0.049</td>
<td valign="top" align="center">0.227</td>
</tr>
<tr>
<td valign="top" align="left">bio8</td>
<td valign="top" align="center">0.057</td>
<td valign="top" align="center">0.638</td>
<td valign="top" align="center">0.284</td>
<td valign="top" align="center">&#x2212;0.061</td>
<td valign="top" align="center">&#x2212;0.178</td>
<td valign="top" align="center">&#x2212;0.246</td>
<td valign="top" align="center">&#x2212;0.426</td>
</tr>
<tr>
<td valign="top" align="left">bio9</td>
<td valign="top" align="center">0.806</td>
<td valign="top" align="center">&#x2212;0.100</td>
<td valign="top" align="center">&#x2212;0.334</td>
<td valign="top" align="center">0.092</td>
<td valign="top" align="center">&#x2212;0.136</td>
<td valign="top" align="center">0.060</td>
<td valign="top" align="center">0.262</td>
</tr>
<tr>
<td valign="top" align="left">bio10</td>
<td valign="top" align="center">0.506</td>
<td valign="top" align="center">0.540</td>
<td valign="top" align="center">0.341</td>
<td valign="top" align="center">0.112</td>
<td valign="top" align="center">&#x2212;0.504</td>
<td valign="top" align="center">&#x2212;0.105</td>
<td valign="top" align="center">0.125</td>
</tr>
<tr>
<td valign="top" align="left" style="color: #FA3728;">bio11</td>
<td valign="top" align="center" style="color: #FA3728;">0.917</td>
<td valign="top" align="center">0.012</td>
<td valign="top" align="center">&#x2212;0.344</td>
<td valign="top" align="center">0.025</td>
<td valign="top" align="center">&#x2212;0.138</td>
<td valign="top" align="center">&#x2212;0.078</td>
<td valign="top" align="center">&#x2212;0.060</td>
</tr>
<tr>
<td valign="top" align="left">bio12</td>
<td valign="top" align="center">0.488</td>
<td valign="top" align="center">&#x2212;0.608</td>
<td valign="top" align="center">0.575</td>
<td valign="top" align="center">0.160</td>
<td valign="top" align="center">0.094</td>
<td valign="top" align="center">0.003</td>
<td valign="top" align="center">&#x2212;0.004</td>
</tr>
<tr>
<td valign="top" align="left">bio13</td>
<td valign="top" align="center">0.706</td>
<td valign="top" align="center">&#x2212;0.119</td>
<td valign="top" align="center">0.518</td>
<td valign="top" align="center">&#x2212;0.016</td>
<td valign="top" align="center">0.337</td>
<td valign="top" align="center">&#x2212;0.046</td>
<td valign="top" align="center">&#x2212;0.115</td>
</tr>
<tr>
<td valign="top" align="left">bio14</td>
<td valign="top" align="center">0.083</td>
<td valign="top" align="center">&#x2212;0.789</td>
<td valign="top" align="center">0.384</td>
<td valign="top" align="center">0.287</td>
<td valign="top" align="center">&#x2212;0.188</td>
<td valign="top" align="center">0.028</td>
<td valign="top" align="center">0.044</td>
</tr>
<tr>
<td valign="top" align="left">bio15</td>
<td valign="top" align="center">0.375</td>
<td valign="top" align="center">0.725</td>
<td valign="top" align="center">0.064</td>
<td valign="top" align="center">&#x2212;0.282</td>
<td valign="top" align="center">0.366</td>
<td valign="top" align="center">&#x2212;0.006</td>
<td valign="top" align="center">&#x2212;0.062</td>
</tr>
<tr>
<td valign="top" align="left">bio16</td>
<td valign="top" align="center">0.690</td>
<td valign="top" align="center">&#x2212;0.177</td>
<td valign="top" align="center">0.523</td>
<td valign="top" align="center">&#x2212;0.030</td>
<td valign="top" align="center">0.345</td>
<td valign="top" align="center">&#x2212;0.040</td>
<td valign="top" align="center">&#x2212;0.126</td>
</tr>
<tr>
<td valign="top" align="left" style="color: #FA3728;">bio17</td>
<td valign="top" align="center">0.119</td>
<td valign="top" align="center" style="color: #FA3728;">&#x2013;0.795</td>
<td valign="top" align="center">0.397</td>
<td valign="top" align="center">0.286</td>
<td valign="top" align="center">&#x2212;0.189</td>
<td valign="top" align="center">0.031</td>
<td valign="top" align="center">0.065</td>
</tr>
<tr>
<td valign="top" align="left" style="color: #FA3728;">bio18</td>
<td valign="top" align="center">0.196</td>
<td valign="top" align="center">&#x2212;0.227</td>
<td valign="top" align="center" style="color: #FA3728;">0.739</td>
<td valign="top" align="center">&#x2212;0.019</td>
<td valign="top" align="center">0.215</td>
<td valign="top" align="center">&#x2212;0.130</td>
<td valign="top" align="center">&#x2212;0.422</td>
</tr>
<tr>
<td valign="top" align="left">bio19</td>
<td valign="top" align="center">0.347</td>
<td valign="top" align="center">&#x2212;0.742</td>
<td valign="top" align="center">0.179</td>
<td valign="top" align="center">0.234</td>
<td valign="top" align="center">&#x2212;0.055</td>
<td valign="top" align="center">0.114</td>
<td valign="top" align="center">0.263</td>
</tr>
<tr>
<td valign="top" align="left">clay</td>
<td valign="top" align="center">0.021</td>
<td valign="top" align="center">0.356</td>
<td valign="top" align="center">&#x2212;0.044</td>
<td valign="top" align="center">0.803</td>
<td valign="top" align="center">0.158</td>
<td valign="top" align="center">&#x2212;0.018</td>
<td valign="top" align="center">0.032</td>
</tr>
<tr>
<td valign="top" align="left" style="color: #FA3728;">elve</td>
<td valign="top" align="center">0.314</td>
<td valign="top" align="center">0.386</td>
<td valign="top" align="center">0.088</td>
<td valign="top" align="center">&#x2212;0.119</td>
<td valign="top" align="center" style="color: #FA3728;">0.564</td>
<td valign="top" align="center">0.297</td>
<td valign="top" align="center">0.175</td>
</tr>
<tr>
<td valign="top" align="left" style="color: #FA3728;">Oc</td>
<td valign="top" align="center">&#x2212;0.016</td>
<td valign="top" align="center">&#x2212;0.061</td>
<td valign="top" align="center">0.048</td>
<td valign="top" align="center">0.036</td>
<td valign="top" align="center">0.367</td>
<td valign="top" align="center">&#x2212;0.575</td>
<td valign="top" align="center" style="color: #FA3728;">0.485</td>
</tr>
<tr>
<td valign="top" align="left">Ph</td>
<td valign="top" align="center">0.044</td>
<td valign="top" align="center">0.527</td>
<td valign="top" align="center">&#x2212;0.196</td>
<td valign="top" align="center">0.410</td>
<td valign="top" align="center">0.170</td>
<td valign="top" align="center">0.255</td>
<td valign="top" align="center">&#x2212;0.034</td>
</tr>
<tr>
<td valign="top" align="left" style="color: #FA3728;">sand</td>
<td valign="top" align="center">0.112</td>
<td valign="top" align="center">&#x2212;0.316</td>
<td valign="top" align="center">0.101</td>
<td valign="top" align="center" style="color: #FA3728;">&#x2013;0.804</td>
<td valign="top" align="center">&#x2212;0.217</td>
<td valign="top" align="center">&#x2212;0.013</td>
<td valign="top" align="center">0.054</td>
</tr>
<tr>
<td valign="top" align="left" style="color: #FA3728;">slope</td>
<td valign="top" align="center">0.129</td>
<td valign="top" align="center">0.060</td>
<td valign="top" align="center">0.225</td>
<td valign="top" align="center">&#x2212;0.022</td>
<td valign="top" align="center">&#x2212;0.243</td>
<td valign="top" align="center" style="color: #FA3728;">0.686</td>
<td valign="top" align="center">&#x2212;0.163</td>
</tr>
<tr>
<td valign="top" align="left">textverl</td>
<td valign="top" align="center">&#x2212;0.028</td>
<td valign="top" align="center">0.269</td>
<td valign="top" align="center">&#x2212;0.043</td>
<td valign="top" align="center">0.714</td>
<td valign="top" align="center">0.195</td>
<td valign="top" align="center">0.065</td>
<td valign="top" align="center">&#x2212;0.062</td>
</tr>
</tbody>
</table>
<table-wrap-foot>
<fn><p><italic>The value in the above table is the correlation coefficient between the factor and the original variable, the greater the absolute value, the more close the relationship. The red label value is the largest absolute value and environment variable corresponding to PC1-PC7.</italic></p></fn>
</table-wrap-foot>
</table-wrap>
<table-wrap position="float" id="T2">
<label>TABLE 2</label>
<caption><p>Component matrix of <italic>P. bidens.</italic></p></caption>
<table cellspacing="5" cellpadding="5" frame="hsides" rules="groups">
<thead>
<tr>
<td/>
<td valign="top" align="center" colspan="5">Principal component<hr/></td>
</tr>
<tr>
<td/>
<td valign="top" align="center">1</td>
<td valign="top" align="center">2</td>
<td valign="top" align="center">3</td>
<td valign="top" align="center">4</td>
<td valign="top" align="center">5</td>
</tr>
</thead>
<tbody>
<tr>
<td valign="top" align="left">aspect</td>
<td valign="top" align="center">0.089</td>
<td valign="top" align="center">0.162</td>
<td valign="top" align="center">0.130</td>
<td valign="top" align="center">0.072</td>
<td valign="top" align="center">0.213</td>
</tr>
<tr>
<td valign="top" align="left">bio1</td>
<td valign="top" align="center">0.674</td>
<td valign="top" align="center">&#x2212;0.123</td>
<td valign="top" align="center">0.675</td>
<td valign="top" align="center">0.074</td>
<td valign="top" align="center">&#x2212;0.115</td>
</tr>
<tr>
<td valign="top" align="left">bio2</td>
<td valign="top" align="center">&#x2212;0.523</td>
<td valign="top" align="center">0.563</td>
<td valign="top" align="center">0.415</td>
<td valign="top" align="center">&#x2212;0.154</td>
<td valign="top" align="center">0.286</td>
</tr>
<tr>
<td valign="top" align="left">bio3</td>
<td valign="top" align="center">0.621</td>
<td valign="top" align="center">0.121</td>
<td valign="top" align="center">0.587</td>
<td valign="top" align="center">0.133</td>
<td valign="top" align="center">0.290</td>
</tr>
<tr>
<td valign="top" align="left">bio4</td>
<td valign="top" align="center">&#x2212;0.838</td>
<td valign="top" align="center">0.514</td>
<td valign="top" align="center">0.027</td>
<td valign="top" align="center">&#x2212;0.104</td>
<td valign="top" align="center">&#x2212;0.041</td>
</tr>
<tr>
<td valign="top" align="left">bio5</td>
<td valign="top" align="center">&#x2212;0.370</td>
<td valign="top" align="center">0.482</td>
<td valign="top" align="center">0.771</td>
<td valign="top" align="center">&#x2212;0.080</td>
<td valign="top" align="center">&#x2212;0.016</td>
</tr>
<tr>
<td valign="top" align="left">bio6</td>
<td valign="top" align="center">0.836</td>
<td valign="top" align="center">&#x2212;0.443</td>
<td valign="top" align="center">0.255</td>
<td valign="top" align="center">0.133</td>
<td valign="top" align="center">&#x2212;0.040</td>
</tr>
<tr>
<td valign="top" align="left">bio7</td>
<td valign="top" align="center">&#x2212;0.814</td>
<td valign="top" align="center">0.542</td>
<td valign="top" align="center">0.095</td>
<td valign="top" align="center">&#x2212;0.137</td>
<td valign="top" align="center">0.025</td>
</tr>
<tr>
<td valign="top" align="left">bio8</td>
<td valign="top" align="center">&#x2212;0.659</td>
<td valign="top" align="center">0.113</td>
<td valign="top" align="center">0.291</td>
<td valign="top" align="center">0.206</td>
<td valign="top" align="center">&#x2212;0.240</td>
</tr>
<tr>
<td valign="top" align="left" style="color: #FA3728;">bio9</td>
<td valign="top" align="center" style="color: #FA3728;">0.862</td>
<td valign="top" align="center">&#x2212;0.164</td>
<td valign="top" align="center">0.210</td>
<td valign="top" align="center">0.064</td>
<td valign="top" align="center">0.092</td>
</tr>
<tr>
<td valign="top" align="left" style="color: #FA3728;">bio10</td>
<td valign="top" align="center">&#x2212;0.216</td>
<td valign="top" align="center">0.425</td>
<td valign="top" align="center" style="color: #FA3728;">0.819</td>
<td valign="top" align="center">&#x2212;0.008</td>
<td valign="top" align="center">&#x2212;0.172</td>
</tr>
<tr>
<td valign="top" align="left">bio11</td>
<td valign="top" align="center">0.844</td>
<td valign="top" align="center">&#x2212;0.381</td>
<td valign="top" align="center">0.335</td>
<td valign="top" align="center">0.114</td>
<td valign="top" align="center">&#x2212;0.028</td>
</tr>
<tr>
<td valign="top" align="left">bio12</td>
<td valign="top" align="center">0.557</td>
<td valign="top" align="center">0.791</td>
<td valign="top" align="center">&#x2212;0.214</td>
<td valign="top" align="center">&#x2212;<bold>0</bold>.024</td>
<td valign="top" align="center">&#x2212;0.090</td>
</tr>
<tr>
<td valign="top" align="left">bio13</td>
<td valign="top" align="center">0.417</td>
<td valign="top" align="center">0.797</td>
<td valign="top" align="center">&#x2212;0.288</td>
<td valign="top" align="center">0.269</td>
<td valign="top" align="center">&#x2212;0.116</td>
</tr>
<tr>
<td valign="top" align="left">bio14</td>
<td valign="top" align="center">0.622</td>
<td valign="top" align="center">0.679</td>
<td valign="top" align="center">&#x2212;0.053</td>
<td valign="top" align="center">&#x2212;0.341</td>
<td valign="top" align="center">&#x2212;0.050</td>
</tr>
<tr>
<td valign="top" align="left" style="color: #FA3728;">bio15</td>
<td valign="top" align="center">&#x2212;0.401</td>
<td valign="top" align="center">0.233</td>
<td valign="top" align="center">&#x2212;0.152</td>
<td valign="top" align="center" style="color: #FA3728;">0.835</td>
<td valign="top" align="center">&#x2212;0.018</td>
</tr>
<tr>
<td valign="top" align="left">bio16</td>
<td valign="top" align="center">0.464</td>
<td valign="top" align="center">0.787</td>
<td valign="top" align="center">&#x2212;0.290</td>
<td valign="top" align="center">0.227</td>
<td valign="top" align="center">&#x2212;0.132</td>
</tr>
<tr>
<td valign="top" align="left">bio17</td>
<td valign="top" align="center">0.620</td>
<td valign="top" align="center">0.698</td>
<td valign="top" align="center">&#x2212;0.051</td>
<td valign="top" align="center">&#x2212;0.334</td>
<td valign="top" align="center">&#x2212;0.005</td>
</tr>
<tr>
<td valign="top" align="left" style="color: #FA3728;">bio18</td>
<td valign="top" align="center">&#x2212;0.013</td>
<td valign="top" align="center" style="color: #FA3728;">0.895</td>
<td valign="top" align="center">&#x2212;0.190</td>
<td valign="top" align="center">0.094</td>
<td valign="top" align="center">&#x2212;0.114</td>
</tr>
<tr>
<td valign="top" align="left">bio19</td>
<td valign="top" align="center">0.741</td>
<td valign="top" align="center">0.592</td>
<td valign="top" align="center">&#x2212;0.197</td>
<td valign="top" align="center">&#x2212;0.038</td>
<td valign="top" align="center">&#x2212;0.075</td>
</tr>
<tr>
<td valign="top" align="left" style="color: #FA3728;">elve</td>
<td valign="top" align="center">0.042</td>
<td valign="top" align="center">0.334</td>
<td valign="top" align="center">&#x2212;0.250</td>
<td valign="top" align="center">0.114</td>
<td valign="top" align="center" style="color: #FA3728;">0.801</td>
</tr>
<tr>
<td valign="top" align="left">slope</td>
<td valign="top" align="center">&#x2212;0.007</td>
<td valign="top" align="center">0.540</td>
<td valign="top" align="center">0.591</td>
<td valign="top" align="center">0.228</td>
<td valign="top" align="center">0.084</td>
</tr>
</tbody>
</table>
<table-wrap-foot>
<fn><p><italic>The value in the above table is the correlation coefficient between the factor and the original variable, the greater the absolute value, the more close the relationship. The red label value is the largest absolute value and environment variable corresponding to PC1-PC5.</italic></p></fn>
</table-wrap-foot>
</table-wrap>
</sec>
<sec id="S2.SS3">
<title>Modeling Procedure</title>
<p>The MaxEnt version 3.4.1 software built the niche models because of its stable performance and easy operation (<xref ref-type="bibr" rid="B28">Liu et al., 2020</xref>). Generally, the default settings of the MaxEnt software produce an overfitted model. The Feature Class (FC) and Regular Multiplier (RM) were thus used to optimize the model. The FC represents different transformations of covariables (<xref ref-type="bibr" rid="B30">Lu et al., 2020</xref>), including Linear (L), Product (P), Quadratic (Q), Threshold (T), and Hinge (H) (<xref ref-type="bibr" rid="B11">Elith et al., 2011</xref>; <xref ref-type="bibr" rid="B23">Kong et al., 2019</xref>). Adjusting the RM reduces the over-fitting of the model, making it smoother. The R package &#x201C;ENMeval&#x201D; was thus used to test whether the parameters were over-fitted, followed by choosing the combination of multipliers and feature classes based on these results (<xref ref-type="bibr" rid="B40">Qin et al., 2015</xref>). The Rm values ranged between 0.5 and 4.0 (increments of 0.5), while the FCs had eight combinations (L, LQ, LQP, QHP, LQH, LQHP, QHPT, and LQHPT). The &#x201C;Checkerboard 2&#x201D; method was subsequently used to calculate the Akaike information criterion coefficient (AICc) and select the lowest delta AICc score to run the final MaxEnt model (<xref ref-type="bibr" rid="B53">Wei et al., 2020</xref>). The best parameters of FC in the CPB and <italic>P. bidens</italic> models were LQHPT and QHPT (<xref ref-type="fig" rid="F2">Figure 2</xref>). And the best parameters of RM in the CPB and <italic>P. bidens</italic> models were 1 and 4. Random testing of the model&#x2019;s dataset employed 25% of the dataset and utilized a ten times cross-validation method in the MaxEnt test to prevent random errors (<xref ref-type="bibr" rid="B29">Liu et al., 2019</xref>). The logistic threshold of repeated training in the 10th percentile was used to determine the suitable and unsuitable habitats of CPB and <italic>P. bidens</italic>. This threshold is widely used to model species distribution, especially when the datasets are collected over time by different observers and methods (<xref ref-type="bibr" rid="B48">Wang et al., 2019</xref>).</p>
<fig id="F2" position="float">
<label>FIGURE 2</label>
<caption><p>The AIC value of the parameter combination (FC, RM) calculated based on ENMeval.</p></caption>
<graphic mimetype="image" mime-subtype="tiff" xlink:href="fevo-09-786436-g002.tif"/>
</fig>
</sec>
<sec id="S2.SS4">
<title>Model Evaluation</title>
<p>The area under the receiver operating characteristic curve (ROC) is usually used to evaluate the performance of a model (<xref ref-type="bibr" rid="B38">Phillips et al., 2006</xref>). In this study, the average area under ROC (AUC) based on ten calculation results was used as the criterion to evaluate the model&#x2019;s performance. Generally, the AUC should range between 0.5 and 1. An AUC equal to 0.5 suggests a pure guess, 0.5&#x2013;0.6 is rated as unqualified, 0.6&#x2013;0.7 is poor, 0.7&#x2013;0.8 is average, 0.8&#x2013;0.9 is good, and 0.9&#x2013;1 is excellent (<xref ref-type="bibr" rid="B38">Phillips et al., 2006</xref>).</p>
</sec>
</sec>
<sec id="S3" sec-type="results">
<title>Results</title>
<sec id="S3.SS1">
<title>Model Performance</title>
<p><xref ref-type="fig" rid="F3">Figure 3</xref> shows the ROC curve obtained after running the MaxEnt model 10 times. The mean AUC of CPB and <italic>P. bidens</italic> was 0.867 and 0.921, respectively, indicating the good performance of the MaxEnt model in predicting the potential distribution areas of CPB and <italic>P. bidens</italic>.</p>
<fig id="F3" position="float">
<label>FIGURE 3</label>
<caption><p>The AUC curves in the developing CPB and <italic>P. bidens</italic> distribution model.</p></caption>
<graphic mimetype="image" mime-subtype="tiff" xlink:href="fevo-09-786436-g003.tif"/>
</fig>
</sec>
<sec id="S3.SS2">
<title>Current Potential Distribution</title>
<p>The potential distribution map of CPB and <italic>P. bidens</italic> was based on the current species occurrence data and climate variables. Notably, the adaptive distribution of CPB and <italic>P. bidens</italic> was divided into four grades using the Natural Breaks (Jenks) (<xref ref-type="fig" rid="F4">Figure 4</xref>).</p>
<fig id="F4" position="float">
<label>FIGURE 4</label>
<caption><p>The potential distribution of CPB and <italic>P. bidens</italic> under current climate. The shade of color represents the level of suitability.</p></caption>
<graphic mimetype="image" mime-subtype="tiff" xlink:href="fevo-09-786436-g004.tif"/>
</fig>
<p>The suitable habitats of CPB were distributed on almost every continent in the world (<xref ref-type="fig" rid="F4">Figure 4</xref>). However, the highly suitable habitats were mainly distributed in Europe, Asia, North America, and Oceania. Moderately and marginally suitable habitats were distributed across all six continents. Based on the area ratio of each suitable growth zone of CPB (<xref ref-type="fig" rid="F5">Figure 5</xref>), the marginally suitable &#x003E; moderately suitable &#x003E; highly suitable. The areas of the marginally, moderately, and highly suitable habitats of CPB were 1,661,902, 851,519, and 729,973 km<sup>2</sup>, accounting for 18, 9, and 8%, of the study area, respectively. The suitable habitat area of CPB was thus 3,243,394 km<sup>2</sup>, accounting for 35% of the study area.</p>
<fig id="F5" position="float">
<label>FIGURE 5</label>
<caption><p>Area of habitats with different suitability for CPB and <italic>P. bidens</italic> under current climate.</p></caption>
<graphic mimetype="image" mime-subtype="tiff" xlink:href="fevo-09-786436-g005.tif"/>
</fig>
<p>The suitable habitats of <italic>P. bidens</italic> were mainly distributed in Eurasia and North America but scarcely in the other continents. The highly suitable habitats were primarily distributed in Europe, North America, and Oceania. Moderately suitable habitats are mainly distributed in Europe, Asia, North America, and Oceania, while the marginally suitable habitats were distributed across all the six continents. Based on the area ratio of each suitable area for <italic>P. bidens</italic> (<xref ref-type="fig" rid="F5">Figure 5</xref>), the marginally suitable &#x003E; highly suitable &#x003E; moderately suitable. The areas of the marginally, moderately, and highly suitable habitats of <italic>P. bidens</italic> were 889,014, 304,966, 581,370 km<sup>2</sup>, accounting for 10, 3.6, and 6.8% of the study area, respectively. The suitable habitat area of <italic>P. bidens</italic> was thus 1,775,350 km<sup>2</sup>, accounting for 21% of the study area.</p>
</sec>
<sec id="S3.SS3">
<title>Changes in Future Potential Distribution</title>
<p>Compared to the current climate, the climate of the future suitable habitats of CPB and <italic>P. bidens</italic> will change variably in different periods (2021&#x2013;2040, 2041&#x2013;2060, 2061&#x2013;2080, and 2081&#x2013;2100) based on different climatic scenarios (SSP1-2.6, SSP2- 4.5, SSP3-7.0, and SSP5-8.5). Compared with the current suitable area, the total area of suitable growth area of CPB increased and decreased. Although the total area of the <italic>P. bidens</italic> is also increasing and decreasing, it is lower than the current suitable area (<xref ref-type="fig" rid="F6">Figure 6</xref>). These changes were divided into three types: expansion, contraction, and stability (<xref ref-type="fig" rid="F7">Figures 7</xref>, <xref ref-type="fig" rid="F8">8</xref>). In order to ensure the clarity of the picture, <xref ref-type="fig" rid="F7">Figures 7</xref>, <xref ref-type="fig" rid="F8">8</xref> only show the changes in the SSP126 scenario, and the changes in the rest of the scenarios are shown in <xref ref-type="supplementary-material" rid="FS1">Supplementary Figures 1</xref>&#x2013;<xref ref-type="supplementary-material" rid="FS1">6</xref>. In addition, the suitable habitats areas of CPB and <italic>P. bidens</italic> were compared in this study, and the results in the current climate are shown in <xref ref-type="fig" rid="F9">Figure 9</xref>. The comparison results in other scenarios are shown in <xref ref-type="supplementary-material" rid="FS1">Supplementary Figures 7</xref>&#x2013;<xref ref-type="supplementary-material" rid="FS1">10</xref>.</p>
<fig id="F6" position="float">
<label>FIGURE 6</label>
<caption><p>The trend of change in the suitable distribution area of CPB and <italic>P. bidens</italic> under future climate scenarios.</p></caption>
<graphic mimetype="image" mime-subtype="tiff" xlink:href="fevo-09-786436-g006.tif"/>
</fig>
<fig id="F7" position="float">
<label>FIGURE 7</label>
<caption><p>The change of suitable distribution area of CPB under SSP126 climate scenario.</p></caption>
<graphic mimetype="image" mime-subtype="tiff" xlink:href="fevo-09-786436-g007.tif"/>
</fig>
<fig id="F8" position="float">
<label>FIGURE 8</label>
<caption><p>The change of suitable distribution area of <italic>P. bidens</italic> under SSP126 climate scenario.</p></caption>
<graphic mimetype="image" mime-subtype="tiff" xlink:href="fevo-09-786436-g008.tif"/>
</fig>
<fig id="F9" position="float">
<label>FIGURE 9</label>
<caption><p>Overlapping range in the suitable distribution area of CPB and <italic>P. bidens</italic> in current climate.</p></caption>
<graphic mimetype="image" mime-subtype="tiff" xlink:href="fevo-09-786436-g009.tif"/>
</fig>
</sec>
<sec id="S3.SS4">
<title>Invasion Pathways</title>
<p>The intersection of the distribution points of large airports and ports with the current potential distribution map revealed the possible introduction routes of CPB and <italic>P. bidens</italic>. The current climate scenario comprised 237 large airports and 1,603 ports located in the suitable territory of CPB. There were 56 large airports and 403 ports in the marginally suitable, 47 large airports and 348 ports in the moderately suitable, and 1,603 large airports and 852 ports in the highly suitable areas (<xref ref-type="fig" rid="F10">Figure 10</xref>). In the same line, there were 20 large airports and 1,025 ports in the marginally suitable, 25 large airports and 146 ports in the moderately suitable, and 65 large airports and 707 ports in the highly suitable areas for <italic>P. bidens</italic> (<xref ref-type="fig" rid="F11">Figure 11</xref>).</p>
<fig id="F10" position="float">
<label>FIGURE 10</label>
<caption><p>Global large airports and ports within the suitable of CPB.</p></caption>
<graphic mimetype="image" mime-subtype="tiff" xlink:href="fevo-09-786436-g010.tif"/>
</fig>
<fig id="F11" position="float">
<label>FIGURE 11</label>
<caption><p>Global large airports and ports within the suitable of <italic>P. bidens</italic>.</p></caption>
<graphic mimetype="image" mime-subtype="tiff" xlink:href="fevo-09-786436-g011.tif"/>
</fig>
</sec>
<sec id="S3.SS5">
<title>Centroids Movement</title>
<p>Centroid is an important index that describes the spatial distribution of terrestrial classes. Centroid changes can reflect the accumulation, dispersion, and migration of terrestrial types in a historical stage (<xref ref-type="bibr" rid="B51">Warren and Seifert, 2011</xref>).</p>
<p><xref ref-type="fig" rid="F12">Figure 12</xref> shows the centroid movements of CPB and <italic>P. bidens</italic> under different climatic backgrounds. The centroid of the current potential distribution area of CPB was 6.369&#x00B0;, 29.062&#x00B0;, while that of <italic>P. bidens</italic> was 0.97&#x00B0;, 45.038&#x00B0;. Notably, the centroid migration directions of CPB and <italic>P. bidens</italic> differed under different climatic backgrounds.</p>
<fig id="F12" position="float">
<label>FIGURE 12</label>
<caption><p>Centroids movement of CPB and <italic>P. bidens</italic> in suitable distribution area under future climate scenarios.</p></caption>
<graphic mimetype="image" mime-subtype="tiff" xlink:href="fevo-09-786436-g012.tif"/>
</fig>
</sec>
</sec>
<sec id="S4" sec-type="discussion">
<title>Discussion</title>
<p>Colorado potato beetle, a worldwide quarantine pest (<xref ref-type="bibr" rid="B50">Wang et al., 2011</xref>; <xref ref-type="bibr" rid="B19">Hou et al., 2020</xref>), has invaded many countries and regions (<xref ref-type="bibr" rid="B49">Wang, 2018</xref>). <italic>P. bidens</italic> is a kind of polyphagous insect, which can prey on many kinds of pests such as CPB and can be used to control CPB (<xref ref-type="bibr" rid="B32">Mahdian et al., 2006</xref>; <xref ref-type="bibr" rid="B44">Tang, 2020</xref>). Therefore, predicting the potential distribution areas of CPB and <italic>P. bidens</italic> can facilitate the monitoring, early warning and control of CPB all over the world. This study predicted the potential distribution areas of CPB and <italic>P. bidens</italic> and their changes under different climatic scenarios using the MaxEnt model based on their distribution data and environmental variables. Their possible introduction routes were subsequently predicted by combining the distribution points of the large airports and ports. The AUC of the MaxEnt model was more than 0.8 (<xref ref-type="fig" rid="F3">Figure 3</xref>), demonstrating good performance in predicting the potential distribution area of CPB and <italic>P. bidens</italic>.</p>
<p>CPB was distributed in six continents except Antarctica based on the prediction of the current potential distribution of CPB. Europe, North America, the southeast coastal areas of Oceania, and Oakland as the primary highly suitable areas. The middle and low suitable growth areas are distributed in almost six continents, including South America and Oceania (<xref ref-type="fig" rid="F4">Figure 4</xref>). According to the records so far, CPB is distributed in Europe, Asia, and North America between 15 and 55&#x00B0;N in the American continent and 33 and 60&#x00B0;N in Eurasia. It is also distributed in many regions in northern Africa (<xref ref-type="bibr" rid="B16">Guo et al., 2014</xref>; <xref ref-type="bibr" rid="B49">Wang, 2018</xref>). Notably, the modeling results are consistent with the actual distribution of CPB in Europe and North America. Although South America and Oceania have not found the distribution of CPB at present, as the suitable growth area of CPB, we should focus on preventing and controlling the invasion of CPB. Moreover, strict precautions should be taken in large airports and ports because they are the primary introduction routes (<xref ref-type="fig" rid="F10">Figure 10</xref>). The current distribution prediction of <italic>P. bidens</italic> suggested that it is mainly distributed in the southeast coastal areas of Eurasia, North America and Oceania, and Oakland (<xref ref-type="fig" rid="F4">Figure 4</xref>). After comparing the suitable growth areas of <italic>P. bidens</italic> and CPB, it was found that under the current climatic conditions, the overlap accounted for 76.21% of the suitable growing areas of <italic>P. bidens</italic> (<xref ref-type="fig" rid="F9">Figure 9</xref>). In the future climate, the overlap reaches more than 80% of the suitable growth area of the <italic>P. bidens</italic> (<xref ref-type="supplementary-material" rid="FS1">Supplementary Figures 7</xref>&#x2013;<xref ref-type="supplementary-material" rid="FS1">10</xref>). Therefore, according to the range of suitable growth area of <italic>P. bidens</italic> (<xref ref-type="fig" rid="F9">Figure 9</xref>), we can judge whether <italic>P. bidens</italic> can be introduced into the area where CPB is seriously harmful. At the same time, combined with the predicted introduction path (<xref ref-type="fig" rid="F11">Figure 11</xref>) and suitable growth area (<xref ref-type="fig" rid="F9">Figure 9</xref>), the introduction path and release location of <italic>P. bidens</italic> can be determined to achieve the maximum effect of controlling CPB.</p>
<p>It has been reported that climate change will lead to the expansion, transfer or contraction of the distribution of species, which will greatly affect the distribution of species (<xref ref-type="bibr" rid="B2">Biber-Freudenberger et al., 2016</xref>; <xref ref-type="bibr" rid="B54">Wei et al., 2018</xref>, <xref ref-type="bibr" rid="B53">2020</xref>). The results of this study show that the change in the suitable growth areas of CPB from 2021 to 2100 under different climate scenarios was very small and mostly insignificant, accounting for 0.31&#x2013;0.34 of the study areas. The expansion area accounted for 0.01&#x2013;0.05 of the study areas, while the contraction area accounted for 0.01&#x2013;0.04. The area change of the total suitable growth area is shown in <xref ref-type="fig" rid="F7">Figure 7</xref>. Under the climatic scenario of ssp126, the suitable habitat area of CPB showed a decreasing trend from 2021 to 2100, but it increased compared with the current suitable habitat area before 2080, and decreased only during the period of 2081&#x2013;2100. Under the climatic scenario of ssp245, the suitable habitat area of potato beetle was only from 2041 to 2060, which decreased compared with the current suitable habitat, and increased at other times. Under the climatic scenario of ssp370, it showed an increasing trend from 2021 to 2100, but from 2021 to 2040, the suitable habitat area of potato beetle decreased compared with the current suitable habitat area, and increased compared with the current suitable habitat area after 2040. In the ssp585 climate scenario, there was little change in 2021&#x2013;2040, only a slight increase, a small decrease in 2041&#x2013;2060, and a growing trend in 2061&#x2013;2100.</p>
<p>This phenomenon was attributed to the strong adaptability of CPB, which has made it a globally invasive pest (<xref ref-type="bibr" rid="B49">Wang, 2018</xref>). But that doesn&#x2019;t mean the CPB has stopped its expansion. According to the forecast, most of the suitable areas of CPB have not been invaded by CPB, such as South America, Oceania and the Central Plains of China. These areas still need to focus on monitoring, prevention and control on possible path of introduction.</p>
<p>The predicted distribution areas of <italic>P. bidens</italic> showed a decrease under different climatic scenarios, with a significantly larger shrinking area (purple part) than that of CPB (<xref ref-type="fig" rid="F7">Figures 7</xref>, <xref ref-type="fig" rid="F8">8</xref>). The expansion area accounted for 0.001&#x2013;0.03, the contraction area accounted for 0.05&#x2013;0.09, while the unchanged area accounted for 0.12&#x2013;0.15 of the study areas. The area change of the total suitable growth area is shown in <xref ref-type="fig" rid="F7">Figure 7</xref>. Under the climatic scenario of ssp126, the suitable habitat area decreased sharply from 2021 to 2040, increased from 2041 to 2060, and decreased slightly from 2061 to 2100. Under the climatic scenario of ssp245, it showed a downward trend from 2021 to 2060, and increased slightly from 2061 to 2080, but after 2081, it showed a downward trend. Under the climate scenario of ssp370, the trend is roughly the same as that of ssp245; under the climate scenario of ssp585, it shows an increasing trend from 2041 to 2100, but the area of suitable habitat is still decreasing compared with the current one.</p>
<p>These findings suggest that global warming will reduce the suitable areas of <italic>P. bidens</italic>. <italic>P. bidens</italic> is a predatory insect that can be used as a natural enemy to control pests belonging to the orders Coleoptera, Lepidoptera, and Hymenoptera (<xref ref-type="bibr" rid="B32">Mahdian et al., 2006</xref>; <xref ref-type="bibr" rid="B44">Tang, 2020</xref>). A reduction of its suitable habitats may cause a decrease in its population density, leading to a lack of effective and timely prevention and control of invasive pests. Active measures should thus be enacted to minimize global warming and protect biodiversity.</p>
<p>The centroid movement is drawn as a vector, which represents the size and direction of the movement in the predicted distribution range (<xref ref-type="bibr" rid="B17">Hannah et al., 2019</xref>). Centroid movement can reflect the spatial variation of the distribution of eco-environmental vulnerability index in the study area (<xref ref-type="bibr" rid="B31">Luck and Wu, 2002</xref>). In this study, the centroid of the potential distribution area of CPB migrated to the northwest and southeast between 2021 and 2100. However, the migration range was not large, indicating that climate change had insignificant effects on CPB during the period. In contrast, the centroid of the potential distribution area of <italic>P. bidens</italic> migrated westward under different climatic scenarios. The migration range was smallest in the SSP126 scenario between 2021 and 2040 and largest in the SSP370 scenario between 2081 and 2100. This phenomenon may be attributed to the decrease of forest area under the SSP370 climate scenario.</p>
</sec>
<sec id="S5" sec-type="conclusion">
<title>Conclusion</title>
<p>Invasive insect species, such as CPB, are a major threat to the ecosystem functions and indigenous biodiversity globally. Their invasion is strengthened by climate change and economic globalization. Notably, they have natural enemies, such as <italic>P. bidens</italic>, which can control them. This study provides a current prediction of the potential distribution areas of CPB and its natural enemy <italic>P. bidens</italic>. Further, it analyzes the diffusion dynamics of their suitable areas under different future climate change scenarios. It also highlights the airports and ports as the primary introduction routes of CPB and <italic>P. bidens</italic> by intersecting their positions with the binary potential distribution map. This study provides a theoretical basis and data support for early warning, monitoring, and control of the CPB spread.</p>
</sec>
<sec id="S6" sec-type="data-availability">
<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/s.</p>
</sec>
<sec id="S7">
<title>Author Contributions</title>
<p>JW, QZ, and HZ contributed conception and design of the study and funding. XG conducted analysis and wrote the first draft of the manuscript. All authors contributed to manuscript revision and read and approved the submitted version.</p>
</sec>
<sec id="conf1" sec-type="COI-statement">
<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 id="pudiscl1" sec-type="disclaimer">
<title>Publisher&#x2019;s Note</title>
<p>All claims expressed in this article are solely those of the authors and do not necessarily represent those of their affiliated organizations, or those of the publisher, the editors and the reviewers. Any product that may be evaluated in this article, or claim that may be made by its manufacturer, is not guaranteed or endorsed by the publisher.</p>
</sec>
</body>
<back>
<sec id="S8" sec-type="funding-information">
<title>Funding</title>
<p>This study was supported by the National Natural Science Foundation of China (31872272) and Research Project Supported by Shanxi Scholarship Council of China (2020-064, 2020-065).</p>
</sec>
<ack>
<p>We are grateful for the comments of the two reviewers that helped improve the manuscript.</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.2021.786436/full#supplementary-material">https://www.frontiersin.org/articles/10.3389/fevo.2021.786436/full#supplementary-material</ext-link></p>
<supplementary-material xlink:href="Presentation_1.pdf" id="FS1" mimetype="application/pdf" xmlns:xlink="http://www.w3.org/1999/xlink"/>
</sec>
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