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<front>
<journal-meta>
<journal-id journal-id-type="publisher-id">Front. Plant Sci.</journal-id>
<journal-title>Frontiers in Plant Science</journal-title>
<abbrev-journal-title abbrev-type="pubmed">Front. Plant Sci.</abbrev-journal-title>
<issn pub-type="epub">1664-462X</issn>
<publisher>
<publisher-name>Frontiers Media S.A.</publisher-name>
</publisher>
</journal-meta>
<article-meta>
<article-id pub-id-type="doi">10.3389/fpls.2023.1125019</article-id>
<article-categories>
<subj-group subj-group-type="heading">
<subject>Plant Science</subject>
<subj-group>
<subject>Original Research</subject>
</subj-group>
</subj-group>
</article-categories>
<title-group>
<article-title>Can suitability indices predict plant growth in the invaded range? The case of Acacias species</article-title>
</title-group>
<contrib-group>
<contrib contrib-type="author">
<name>
<surname>Silva</surname>
<given-names>Carmen P.</given-names>
</name>
<xref ref-type="aff" rid="aff1">
<sup>1</sup>
</xref>
<uri xlink:href="https://loop.frontiersin.org/people/2085102"/>
</contrib>
<contrib contrib-type="author">
<name>
<surname>L&#xf3;pez</surname>
<given-names>Daniela N.</given-names>
</name>
<xref ref-type="aff" rid="aff1">
<sup>1</sup>
</xref>
<uri xlink:href="https://loop.frontiersin.org/people/1713876"/>
</contrib>
<contrib contrib-type="author">
<name>
<surname>Naulin</surname>
<given-names>Paulette I.</given-names>
</name>
<xref ref-type="aff" rid="aff2">
<sup>2</sup>
</xref>
</contrib>
<contrib contrib-type="author" corresp="yes">
<name>
<surname>Estay</surname>
<given-names>Sergio A.</given-names>
</name>
<xref ref-type="aff" rid="aff1">
<sup>1</sup>
</xref>
<xref ref-type="aff" rid="aff3">
<sup>3</sup>
</xref>
<xref ref-type="author-notes" rid="fn001">
<sup>*</sup>
</xref>
<uri xlink:href="https://loop.frontiersin.org/people/121475"/>
</contrib>
</contrib-group>
<aff id="aff1">
<sup>1</sup>
<institution>Instituto de Ciencias Ambientales y Evolutivas, Universidad Austral de Chile</institution>, <addr-line>Valdivia</addr-line>, <country>Chile</country>
</aff>
<aff id="aff2">
<sup>2</sup>
<institution>Laboratorio Biolog&#xed;a de Plantas, Departamento de Silvicultura y Conservaci&#xf3;n de la Naturaleza, Universidad de Chile</institution>, <addr-line>Santiago</addr-line>, <country>Chile</country>
</aff>
<aff id="aff3">
<sup>3</sup>
<institution>Center of Applied Ecology and Sustainability (CAPES), Pontificia Universidad Cat&#xf3;lica de Chile</institution>, <addr-line>Santiago</addr-line>, <country>Chile</country>
</aff>
<author-notes>
<fn fn-type="edited-by">
<p>Edited by: Mirjana Ljubojevi&#x107;, University of Novi Sad, Serbia</p>
</fn>
<fn fn-type="edited-by">
<p>Reviewed by: Stefano Martellos, University of Trieste, Italy; Maria Am&#xe9;lia Martins-Lou&#xe7;&#xe3;o, University of Lisbon, Portugal</p>
</fn>
<fn fn-type="corresp" id="fn001">
<p>*Correspondence: Sergio A. Estay, <email xlink:href="mailto:sergio.estay@uach.cl">sergio.estay@uach.cl</email>
</p>
</fn>
<fn fn-type="other" id="fn002">
<p>This article was submitted to Functional Plant Ecology, a section of the journal Frontiers in Plant Science</p>
</fn>
</author-notes>
<pub-date pub-type="epub">
<day>07</day>
<month>02</month>
<year>2023</year>
</pub-date>
<pub-date pub-type="collection">
<year>2023</year>
</pub-date>
<volume>14</volume>
<elocation-id>1125019</elocation-id>
<history>
<date date-type="received">
<day>15</day>
<month>12</month>
<year>2022</year>
</date>
<date date-type="accepted">
<day>17</day>
<month>01</month>
<year>2023</year>
</date>
</history>
<permissions>
<copyright-statement>Copyright &#xa9; 2023 Silva, L&#xf3;pez, Naulin and Estay</copyright-statement>
<copyright-year>2023</copyright-year>
<copyright-holder>Silva, L&#xf3;pez, Naulin and Estay</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>
<sec>
<title>Introduction</title>
<p>Forestry in many parts of the world depends on exotic species, making this industry a source of invasions in some countries. Among others, plantations of the genus Pinus, Eucalyptus, Acacia, Populus, and Pseudotsuga underpin the forestry industry and are a vital component of many countries economies. Among woody plants, the cosmopolitan genus Acacia includes some of the most commonly planted trees worldwide. In order to prevent, manage and control invasive plant species, one of the most used tools is species distribution models. The output of these models can also be used to obtain information about population characteristics, such as spatial abundance patterns or species performance. Although ecological theory suggests a direct link between fitness and suitability, this link is often absent. The reasons behind the lack of this relationship are multiple. Chile is one of the countries where Acacia species, in particular, A. dealbata and A. melanoxylon, have become invaders. </p>
</sec>
<sec>
<title>Methods</title>
<p>Here, we used climatic and edaphic variables to predict thepotentially suitable habitats for A. dealbata and A. melanoxylon in continental Chile and evaluate if the suitability indices obtained from these models are associated with the observed performance of the trees along the country. </p>
</sec>
<sec>
<title>Results</title>
<p>Our models show that variable importance showed significant similarities between the variables that characterize each species&#x2019; niche. However, despite the high accuracy of our models, we did not observe an association between suitability and tree growth.</p>
</sec>
<sec>
<title>Discussion</title>
<p>This disconnection between suitability and performance can result from multiple causes, from structural limitations, like the lack of biotic interactions in the models, to methodological issues, like the usefulness of the performance metric used. Whatever the scenario, our results suggest that plans to control invasive species should be cautious in assuming this relationship in their design and consider other indicators such as species establishment success.</p>
</sec>
</abstract>
<kwd-group>
<kwd>species distribution models</kwd>
<kwd>plant growth</kwd>
<kwd>suitability</kwd>
<kwd>forest plantations</kwd>
<kwd>
<italic>Acacia dealbata</italic>
</kwd>
<kwd>
<italic>Acacia melanoxylon</italic>
</kwd>
<kwd>plant invasions</kwd>
</kwd-group>
<counts>
<fig-count count="2"/>
<table-count count="4"/>
<equation-count count="0"/>
<ref-count count="75"/>
<page-count count="9"/>
<word-count count="4042"/>
</counts>
</article-meta>
</front>
<body>
<sec id="s1" sec-type="intro">
<title>Introduction</title>
<p>The vast majority of exotic species introductions are human-mediated, especially in the case of plants (<xref ref-type="bibr" rid="B63">Saul et&#xa0;al., 2017</xref>), where activities such as horticulture, agriculture, and forestry are among the main introduction pathways (<xref ref-type="bibr" rid="B28">Hulme et&#xa0;al., 2008</xref>). One of the most used tools for understanding the establishment of exotic species are species distribution models (SDMs). These models are intended to establish the environmental tolerance limits or habitat suitability for a particular species through the correlation of its known geographical distribution, i.e., occurrence/absence or abundance records, and the values of several environmental variables at the occurrence sites (<xref ref-type="bibr" rid="B65">Soberon and Peterson, 2005</xref>; <xref ref-type="bibr" rid="B52">Phillips et&#xa0;al., 2006</xref>; <xref ref-type="bibr" rid="B16">Elith and Leathwick, 2009</xref>; <xref ref-type="bibr" rid="B38">Lobo et&#xa0;al., 2010</xref>). The resulting environmental suitability estimates can also be used to obtain information about other population characteristics, such as spatial abundance patterns or species performance (<xref ref-type="bibr" rid="B67">Thornton and Peers, 2019</xref>). A high correlation between suitability and performance is desirable for several reasons. From a productive point of view, a strong relationship would facilitate the identification of the best sites for establishing planted forests for industrial purposes. Also, for invasive species control, a strong positive relationship would increase the probability of success of the control because the actions could be focused in locations where performance (or some proxy) is higher (<xref ref-type="bibr" rid="B33">Jarnevich et&#xa0;al., 2021</xref>). However, these models do not always show a strong relationship between suitability and performance (<xref ref-type="bibr" rid="B70">VanDerWal et&#xa0;al., 2009</xref>; <xref ref-type="bibr" rid="B68">Thuiller et&#xa0;al., 2010</xref>; <xref ref-type="bibr" rid="B27">Gutierrez et&#xa0;al., 2013</xref>; <xref ref-type="bibr" rid="B11">Dallas and Hastings, 2018</xref>). Although ecological theory suggests a direct link between fitness (or some performance proxy) and suitability (<xref ref-type="bibr" rid="B74">Younginger et&#xa0;al., 2017</xref>), this link is absent in many cases. The reasons behind the lack of this relationship are multiple. On the one hand, if a species&#x2019; native distribution results from of dispersal limitations (e.g., insular species or with small global distributions), and not to the lack of tolerance to the environmental conditions in the new habitats, then suitability will be disconnected from performance. Some authors pointed out that this situation is equivalent to saying that the species&#x2019; phenotypic plasticity is greater than what may be appreciated from realized distributions (<xref ref-type="bibr" rid="B49">Orr and Smith, 1998</xref>; <xref ref-type="bibr" rid="B55">Qiao et&#xa0;al., 2017</xref>). On the other hand, the lack of association could be a consequence of the disconnection between the metric of performance used in the study and fitness. In particular, tree species planted worldwide for industrial purposes could show performances significantly different from those predicted by SDMs fitted using their native distribution.</p>
<p>Forestry in many parts of the world depends on exotic species, making this industry a source of invasions in some countries (<xref ref-type="bibr" rid="B58">Richardson, 1998</xref>). Among others, plantations of the genus <italic>Pinus</italic>, <italic>Eucalyptus</italic>, <italic>Acacia</italic>, <italic>Populus</italic>, and <italic>Pseudotsuga</italic> underpin the forestry industry and are a vital component of many countries&#x2019; economies (<xref ref-type="bibr" rid="B58">Richardson, 1998</xref>; <xref ref-type="bibr" rid="B60">Richardson and Rejm&#xe1;nek, 2011</xref>). Because of their economic value, information about their performance under several (and in many cases novel) climatic and edaphic conditions is available in many countries. This situation provides a unique opportunity to evaluate the relationship between suitability, obtained using information from the native distribution, and performance acquired using information from their non-native distribution.</p>
<p>Among woody plants, the cosmopolitan genus Acacia (<italic>sensu lato</italic>) (<italic>Fabaceae</italic>) includes some of the most commonly planted trees worldwide (<xref ref-type="bibr" rid="B31">Jansen and Kumschick, 2022</xref>), along with <italic>Pinus</italic> and <italic>Eucalyptus</italic> (<xref ref-type="bibr" rid="B59">Richardson et&#xa0;al., 2011</xref>). The genus Acacia <italic>s.l</italic> includes over 1,300 trees and shrubs found in Africa, Madagascar, Asia, and North and South America (<xref ref-type="bibr" rid="B39">Lorenzo et&#xa0;al., 2010</xref>), but most of them, 1,012 species, approximately, are native to Australia, collectively known as Australian acacias or wattles (<xref ref-type="bibr" rid="B39">Lorenzo et&#xa0;al., 2010</xref>; <xref ref-type="bibr" rid="B46">Miller et&#xa0;al., 2011</xref>). According to <xref ref-type="bibr" rid="B59">Richardson et&#xa0;al. (2011)</xref>, as many as 386 Australian acacias have been introduced to areas outside their native ranges (<xref ref-type="bibr" rid="B59">Richardson et&#xa0;al., 2011</xref>), mainly because of their economic value and for restoration and ornamental purposes (<xref ref-type="bibr" rid="B35">Kull et&#xa0;al., 2011</xref>; <xref ref-type="bibr" rid="B24">Griffin et&#xa0;al., 2011</xref>; ). Currently, several Australian acacias are confirmed as invasive (<xref ref-type="bibr" rid="B59">Richardson et&#xa0;al., 2011</xref>; <xref ref-type="bibr" rid="B73">Wilson et&#xa0;al., 2011</xref>). One of them, <italic>A. mearnsii</italic>, is included in the &#x201c;100 of the World&#x2019;s Worst Invasive alien species&#x201d; (<xref ref-type="bibr" rid="B41">Lowe et&#xa0;al., 2000</xref>), and <italic>A. dealbata</italic> is listed in the &#x201c;100 of the worst invasive species in Europe&#x201d; (<xref ref-type="bibr" rid="B48">Nentwig et&#xa0;al., 2017</xref>).</p>
<p>Chile is one of the countries where Acacia species, in particular, <italic>A. dealbata</italic> and <italic>A. melanoxylon</italic>, have become invaders (<xref ref-type="bibr" rid="B17">Fuentes-Ram&#xed;rez et&#xa0;al., 2011</xref>; <xref ref-type="bibr" rid="B18">Fuentes et&#xa0;al., 2014</xref>; <xref ref-type="bibr" rid="B36">Langdon et&#xa0;al., 2019</xref>). Both species were initially introduced for ornamental and furniture manufacturing purposes, <italic>A. dealbata</italic> in 1869 and <italic>A. melanoxylon</italic> in 1923 (<xref ref-type="bibr" rid="B17">Fuentes-Ram&#xed;rez et&#xa0;al., 2011</xref>; <xref ref-type="bibr" rid="B18">Fuentes et&#xa0;al., 2014</xref>), and their ranges seem to be still increasing (<xref ref-type="bibr" rid="B36">Langdon et&#xa0;al., 2019</xref>). Several studies address <italic>A. dealbata</italic> invasion in Chile and its impact on native vegetation (<xref ref-type="bibr" rid="B50">Pauchard and Maheu-Giroux, 2007</xref>; <xref ref-type="bibr" rid="B51">Pe&#xf1;a et&#xa0;al., 2007</xref>; <xref ref-type="bibr" rid="B17">Fuentes-Ram&#xed;rez et&#xa0;al., 2011</xref>; <xref ref-type="bibr" rid="B36">Langdon et&#xa0;al., 2019</xref>). For <italic>A. dealbata</italic>, several SDMs have been developed to estimate its invasive potential, but only using climatic variables (<xref ref-type="bibr" rid="B36">Langdon et&#xa0;al., 2019</xref>; <xref ref-type="bibr" rid="B8">Bustamante et&#xa0;al., 2022</xref>). However, the association between the suitability obtained from these models and the actual performance of trees in the field has not been evaluated, so the design of control strategies using only these results could be based on highly uncertain scenarios. In the case of <italic>A. melanoxylon</italic>, no evaluation of its potential distribution has been performed. In this study, we estimate the potential distribution of <italic>A. dealbata</italic> and <italic>A. melanoxylon</italic> in Chile using climatic and edaphic variables and evaluate if the suitability indices obtained from these models are associated with the observed performance of the trees along the country.</p>
</sec>
<sec id="s2">
<title>Methods</title>
<sec id="s2_1">
<title>Species occurrence data</title>
<p>Presence records of the native distribution of <italic>Acacia dealbata</italic> and <italic>A. melanoxylon</italic> were obtained from the Atlas of Living Australia (2022) and the Global Biodiversity Information Facility (<xref ref-type="bibr" rid="B20">GBIF, 2023a</xref>). Because our objective is to evaluate the relationship between suitability and performance, we only include data from the native distribution of both species. The original data sets were checked and filtered; all duplicate geographical records and those presenting incomplete or dubious information were deleted. To reduce geographical sampling bias, only one record in an area of ~1 km<sup>2</sup> was considered. This process resulted in 11,683 points for <italic>A. dealbata</italic> and 18,146 for <italic>A. melanoxylon</italic>. We generate pseudo-absences using a 1:1 ratio following general recommendations (<xref ref-type="bibr" rid="B69">Valavi et&#xa0;al., 2021</xref>).</p>
</sec>
<sec id="s2_2">
<title>Environmental layers</title>
<p>The environmental variables selected to implement SDMs are crucial; they directly impact the predictive accuracy and model realism (<xref ref-type="bibr" rid="B47">Mod et&#xa0;al., 2006</xref>). The variables should vary depending on the research question or the modeling goal (<xref ref-type="bibr" rid="B1">Ara&#xfa;jo et&#xa0;al., 2019</xref>; <xref ref-type="bibr" rid="B29">Irving et&#xa0;al., 2020</xref>; ). For terrestrial plants, soil properties characteristics are essential, significantly impacting their establishment and growth, thus influencing their distribution (<xref ref-type="bibr" rid="B5">Beauregard and de Blois, 2014</xref>). Hence, incorporating edaphic factors is desirable and may improve model performance and enhance the accuracy of the outcome (<xref ref-type="bibr" rid="B10">Coudun et&#xa0;al., 2006</xref>).</p>
<p>Here, we used climatic and edaphic variables to predict the potentially suitable habitats for <italic>A. dealbata</italic> and <italic>A. melanoxylon</italic> in continental Chile. Current climatic conditions were obtained from the Chelsa database (<xref ref-type="bibr" rid="B34">Karger et&#xa0;al., 2017</xref>), while soil variables were gathered from the Global Soil Dataset (<xref ref-type="bibr" rid="B64">Shangguan et&#xa0;al., 2014</xref>), with a spatial resolution of 30 arcsec. Edaphic layers are available at depths from 0 to 2.3&#xa0;m, but layers between 0 and 1.4&#xa0;m are highly correlated (<italic>r &gt;</italic>0.9). For this reason, our analysis was performed using the layers corresponding to depths between 5 to 19&#xa0;cm. Initially, a pre-selecting variables approach to avoid the risk of multicollinearity, based on the species biology, was applied; climatic and edaphic predictors were analyzed together. Using this information, in the first step, we selected 30 from the more than 70 variables available in both datasets (climatic and soil database). Then, we eliminated the predictor variables yielding correlation values above 0.7 (Pearson&#x2019;s coefficient) in the pairwise cross-correlation matrix (<xref ref-type="bibr" rid="B15">Dorman et&#xa0;al., 2013</xref>; <xref ref-type="bibr" rid="B75">Zhu and Peterson, 2017</xref>) or those with apparent unclear biological importance. The final sets of used variables are shown in <xref ref-type="table" rid="T1">
<bold>Table&#xa0;1</bold>
</xref>. The training area was defined using a buffer of 500&#xa0;km around presence points. The buffer size was determined considering an approximation to the geographic area accessible to the species in a time covering several generations (<xref ref-type="bibr" rid="B4">Barve et&#xa0;al., 2011</xref>).</p>
<table-wrap id="T1" position="float">
<label>Table&#xa0;1</label>
<caption>
<p>Original variables used in the study.</p>
</caption>
<table frame="hsides">
<thead>
<tr>
<th valign="top" align="left">Code</th>
<th valign="top" align="center">Description</th>
<th valign="top" align="center">Units</th>
</tr>
</thead>
<tbody>
<tr>
<td valign="top" align="left">BIO1</td>
<td valign="top" align="left">Mean annual air temperature</td>
<td valign="top" align="left">&#xb0;C</td>
</tr>
<tr>
<td valign="top" align="left">BIO10</td>
<td valign="top" align="left">Mean daily mean air temperatures of the warmest quarter</td>
<td valign="top" align="left">&#xb0;C</td>
</tr>
<tr>
<td valign="top" align="left">BIO11</td>
<td valign="top" align="left">Mean daily mean air temperatures of the coldest quarter</td>
<td valign="top" align="left">&#xb0;C</td>
</tr>
<tr>
<td valign="top" align="left">BIO12</td>
<td valign="top" align="left">Annual precipitation amount</td>
<td valign="top" align="left">kg m<sup>-2</sup> year<sup>-1</sup>
</td>
</tr>
<tr>
<td valign="top" align="left">ALT</td>
<td valign="top" align="left">Altitude</td>
<td valign="top" align="left">masl</td>
</tr>
<tr>
<td valign="top" align="left">TC</td>
<td valign="top" align="left">Total Carbon</td>
<td valign="top" align="left">% of weight</td>
</tr>
<tr>
<td valign="top" align="left">TN</td>
<td valign="top" align="left">Total Nitrogen</td>
<td valign="top" align="left">% of weight</td>
</tr>
<tr>
<td valign="top" align="left">TP</td>
<td valign="top" align="left">Total phosphorus</td>
<td valign="top" align="left">% of weight</td>
</tr>
<tr>
<td valign="top" align="left">BIO4</td>
<td valign="top" align="left">Temperature seasonality</td>
<td valign="top" align="left">&#xb0;C</td>
</tr>
<tr>
<td valign="top" align="left">BIO8</td>
<td valign="top" align="left">Mean daily mean air temperatures of the wettest quarter</td>
<td valign="top" align="left">&#xb0;C</td>
</tr>
<tr>
<td valign="top" align="left">BIO9</td>
<td valign="top" align="left">Mean daily mean air temperatures of the driest quarter</td>
<td valign="top" align="left">&#xb0;C</td>
</tr>
<tr>
<td valign="top" align="left">BIO15</td>
<td valign="top" align="left">Precipitation seasonality</td>
<td valign="top" align="left">kg m<sup>-2</sup>
</td>
</tr>
<tr>
<td valign="top" align="left">BIO16</td>
<td valign="top" align="left">Mean monthly precipitation amount of the wettest quarter</td>
<td valign="top" align="left">kg m<sup>-2</sup> month<sup>-1</sup>
</td>
</tr>
<tr>
<td valign="top" align="left">BIO17</td>
<td valign="top" align="left">Mean monthly precipitation amount of the driest quarter</td>
<td valign="top" align="left">kg m<sup>-2</sup> month<sup>-1</sup>
</td>
</tr>
<tr>
<td valign="top" align="left">BIO18</td>
<td valign="top" align="left">Mean monthly precipitation amount of the warmest quarter</td>
<td valign="top" align="left">kg m<sup>-2</sup> month<sup>-1</sup>
</td>
</tr>
<tr>
<td valign="top" align="left">BIO19</td>
<td valign="top" align="left">Mean monthly precipitation amount of the coldest quarter</td>
<td valign="top" align="left">kg m<sup>-2</sup> month<sup>-1</sup>
</td>
</tr>
<tr>
<td valign="top" align="left">Al</td>
<td valign="top" align="left">Aridity index</td>
<td valign="top" align="left">Aridity index</td>
</tr>
<tr>
<td valign="top" align="left">GDDO</td>
<td valign="top" align="left">Growing degree days heat sum above 0&#xb0;C</td>
<td valign="top" align="left">&#xb0;C</td>
</tr>
<tr>
<td valign="top" align="left">GDD5</td>
<td valign="top" align="left">Growing degree days heat sum above 5&#xb0;C</td>
<td valign="top" align="left">&#xb0;C</td>
</tr>
<tr>
<td valign="top" align="left">NGDO</td>
<td valign="top" align="left">Number of growing degree days</td>
<td valign="top" align="left">number of days</td>
</tr>
<tr>
<td valign="top" align="left">NGD5</td>
<td valign="top" align="left">Number of growing degree days</td>
<td valign="top" align="left">number of days</td>
</tr>
<tr>
<td valign="top" align="left">NPP</td>
<td valign="top" align="left">Net primary productivity</td>
<td valign="top" align="left">gC m<sup>-2</sup> yr<sup>-1</sup>
</td>
</tr>
<tr>
<td valign="top" align="left">SCD</td>
<td valign="top" align="left">Snow cover days</td>
<td valign="top" align="left">number of days</td>
</tr>
<tr>
<td valign="top" align="left">BD</td>
<td valign="top" align="left">Bulk density</td>
<td valign="top" align="left">g/cm<sup>3</sup>
</td>
</tr>
<tr>
<td valign="top" align="left">BS</td>
<td valign="top" align="left">Base saturation</td>
<td valign="top" align="left">%</td>
</tr>
<tr>
<td valign="top" align="left">CEC</td>
<td valign="top" align="left">Cation exchange capacity</td>
<td valign="top" align="left">cmol/kg</td>
</tr>
<tr>
<td valign="top" align="left">CLAY</td>
<td valign="top" align="left">Clay content</td>
<td valign="top" align="left">% of weight</td>
</tr>
<tr>
<td valign="top" align="left">PHH2O</td>
<td valign="top" align="left">pH(H2O)</td>
<td valign="top" align="left"/>
</tr>
<tr>
<td valign="top" align="left">SAND</td>
<td valign="top" align="left">Sand content</td>
<td valign="top" align="left">% of weight</td>
</tr>
<tr>
<td valign="top" align="left">TK</td>
<td valign="top" align="left">Total potassium</td>
<td valign="top" align="left">% of weight</td>
</tr>
</tbody>
</table>
<table-wrap-foot>
<fn>
<p>Only the first eight variables were selected after multicollinearity analysis.</p>
</fn>
</table-wrap-foot>
</table-wrap>
</sec>
<sec id="s2_3">
<title>Modeling approach</title>
<p>We used the Regularized Random Forest algorithm (RRF, <xref ref-type="bibr" rid="B13">Deng and Runger, 2012</xref>) to estimate niche models for <italic>A. dealbata</italic> and <italic>A. melanoxylon</italic> using the R package RRF. This algorithm uses a regularization process to discard the least important variables, producing more parsimonious models, with a similar prediction error to the full model (<xref ref-type="bibr" rid="B13">Deng and Runger, 2012</xref>). A regularization coefficient was applied using the scheme proposed by <xref ref-type="bibr" rid="B12">Deng (2013)</xref> for Guided Random Forest with a &#x3b3; = 1 for the maximum penalty. The hyper-parameter mtry was defined using the function tuneRRF in the package RRF. We used a 5-fold cross-validation scheme for each model and divided our dataset in 70/30 for training and testing subsets. We set the Ntree hyper-parameter in 1000. We evaluated them using the area under the curve (AUC) of the ROC curve, True Skill Statistics (TSS), and Symmetric Extremal Dependence Index (SEDI) using the test data subset. Variable importance was evaluated using the mean decrease Gini. As a complement to evaluate the similarities of species niche models, we calculate the overlap between the hypervolume described by the ellipsoid that represents the environmental niche of both species using the package SIBER (<xref ref-type="bibr" rid="B30">Jackson et&#xa0;al., 2011</xref>). All analyses were performed in R 4.2.1 (<xref ref-type="bibr" rid="B57">R Core Team, 2022</xref>).</p>
</sec>
<sec id="s2_4">
<title>Suitability &#x2013; performance relationship</title>
<p>The final step was to evaluate if the modeled suitability of <italic>A. dealbata</italic> and <italic>A. melanoxylon</italic> in Chile is correlated to the species&#x2019; performance. We gathered the data from the report &#x201c;Progress in research with species of the genus Acacia in Chile &#x201c; (<xref ref-type="bibr" rid="B53">Pinilla et&#xa0;al., 2010</xref>). The main goal of this study was to assess which species show the highest growth under different edaphic and climatic conditions in Chile (<xref ref-type="fig" rid="f1">
<bold>Figure&#xa0;1</bold>
</xref>). To estimate <italic>A. melanoxylon</italic> and <italic>A. dealbata</italic> performance in Chilean territory, we calibrate a logarithmic height-age (height ~ Ln(age)) curve using all data available from the field trials (38 sites for <italic>A. dealbata</italic> and 31 sites for <italic>A. melanoxylon</italic>), obtaining a function that estimates the height of the trees as a function of age. We took the function&#x2019;s standardized residual as a proxy of how much or less the trees in the site grow over the expected value (observed performance). At each site, we took the suitability median values in a buffer of 2,500 meters around the coordinates of the trial. To evaluate the relationship between suitability values and the observed performance, we follow the recommendation of <xref ref-type="bibr" rid="B70">VanDerWal et&#xa0;al. (2009)</xref>. They suggest that suitability indices are more associated with the maximum potential performance than with the average performance. In this vein, we use linear regression and linear quantile regression (90% percentile) to determine if suitability indexes successfully predict the observed performance of both species. We assessed the magnitude of the relationship using the 95% confidence interval of the slope of each regression.</p>
<fig id="f1" position="float">
<label>Figure&#xa0;1</label>
<caption>
<p>Maps showing localities of the trials and projected models. <bold>(A)</bold> Map of climatic zones in Chile. Grey scale ranges from desertic environments (lighter grey) to tundra (darker grey). Green points correspond to the <italic>A dealbata</italic> trial localities. Red points correspond to the <italic>A melanoxylon</italic> trial localities. <bold>(B, C)</bold> correspond to <italic>A melanoxylon</italic> and <italic>A dealbata</italic> projected models over continental Chilean territory.</p>
</caption>
<graphic mimetype="image" mime-subtype="tiff" xlink:href="fpls-14-1125019-g001.tif"/>
</fig>
</sec>
</sec>
<sec id="s3" sec-type="results">
<title>Results</title>
<sec id="s3_1">
<title>Models performance</title>
<p>Regularized Random Forest models showed high predictive accuracy for <italic>A. dealbata</italic> and <italic>A. melanoxylon</italic>. Performance measures are given in <xref ref-type="table" rid="T2">
<bold>Table&#xa0;2</bold>
</xref>. Model projections show that both taxa have moderate to high suitability in Central Chile and moderate in the south and northeast of the territory (<xref ref-type="fig" rid="f1">
<bold>Figure&#xa0;1</bold>
</xref>). However, the extension of the potential areas differs, being larger for <italic>A. melanoxylon</italic>. An analysis of variable importance showed differences between species (<xref ref-type="table" rid="T3">
<bold>Table&#xa0;3</bold>
</xref>). Mean annual air temperature (BIO1), annual precipitation amount (BIO12), and altitude (ALT) were the top three important variables for <italic>A. dealbata.</italic> While mean daily mean air temperature of the warmest quarter (BIO10), annual precipitation amount (BIO12), and altitude (ALT) were the most important variables for <italic>A. melanoxylon</italic>. Considering the overlap between ellipsoids, 97% of the environmental niche of <italic>A. dealbata</italic> is contained inside the environmental niche of <italic>A. melanoxylon.</italic> However, only 67% of the niche of the latter is contained in the niche of the former (<xref ref-type="fig" rid="f2">
<bold>Figure&#xa0;2</bold>
</xref>). None of the edaphic variables included in the analysis were identified as important in the final models.</p>
<table-wrap id="T2" position="float">
<label>Table&#xa0;2</label>
<caption>
<p>Accuracy metrics for SDMs. See methods for details.</p>
</caption>
<table frame="hsides">
<thead>
<tr>
<th valign="top" align="left">Species</th>
<th valign="top" align="center">Accuracy</th>
<th valign="top" align="center">Sensitivity</th>
<th valign="top" align="center">Specificity</th>
<th valign="top" align="center">AUC</th>
<th valign="top" align="center">TSS</th>
<th valign="top" align="center">SEDI</th>
</tr>
</thead>
<tbody>
<tr>
<td valign="top" align="left">A. melanoxylon</td>
<td valign="top" align="center">0.915</td>
<td valign="top" align="center">0.941</td>
<td valign="top" align="center">0.892</td>
<td valign="top" align="center">0.968</td>
<td valign="top" align="center">0.833</td>
<td valign="top" align="center">0.933</td>
</tr>
<tr>
<td valign="top" align="left">A. dealbata</td>
<td valign="top" align="center">0.901</td>
<td valign="top" align="center">0.937</td>
<td valign="top" align="center">0.876</td>
<td valign="top" align="center">0.957</td>
<td valign="top" align="center">0.813</td>
<td valign="top" align="center">0.922</td>
</tr>
</tbody>
</table>
</table-wrap>
<table-wrap id="T3" position="float">
<label>Table&#xa0;3</label>
<caption>
<p>Relative importance of variables on SDMs for <italic>A melanoxylon</italic> and <italic>A. dealbata</italic>. Importance is expressed as the mean decrease Gini index.</p>
</caption>
<table frame="hsides">
<thead>
<tr>
<th valign="top" align="left">A. melanoxylon</th>
<th valign="top" align="center">Importance</th>
<th valign="top" align="center">A. dealbata</th>
<th valign="top" align="center">Importance</th>
</tr>
</thead>
<tbody>
<tr>
<td valign="top" align="left">BIO10</td>
<td valign="top" align="center">100.00</td>
<td valign="top" align="center">BIO1</td>
<td valign="top" align="center">100.00</td>
</tr>
<tr>
<td valign="top" align="left">BIO12</td>
<td valign="top" align="center">15.02</td>
<td valign="top" align="center">BIO12</td>
<td valign="top" align="center">20.81</td>
</tr>
<tr>
<td valign="top" align="left">ALT</td>
<td valign="top" align="center">10.30</td>
<td valign="top" align="center">ALT</td>
<td valign="top" align="center">19.08</td>
</tr>
<tr>
<td valign="top" align="left">BIO1</td>
<td valign="top" align="center">6.63</td>
<td valign="top" align="center">BIO11</td>
<td valign="top" align="center">15.43</td>
</tr>
<tr>
<td valign="top" align="left">BIO11</td>
<td valign="top" align="center">5.24</td>
<td valign="top" align="center">BIO10</td>
<td valign="top" align="center">9.42</td>
</tr>
<tr>
<td valign="top" align="left">TC</td>
<td valign="top" align="center">1.76</td>
<td valign="top" align="center">TC</td>
<td valign="top" align="center">3.34</td>
</tr>
<tr>
<td valign="top" align="left">TN</td>
<td valign="top" align="center">0.66</td>
<td valign="top" align="center">TN</td>
<td valign="top" align="center">2.85</td>
</tr>
<tr>
<td valign="top" align="left">TP</td>
<td valign="top" align="center">0.00</td>
<td valign="top" align="center">TP</td>
<td valign="top" align="center">0.00</td>
</tr>
</tbody>
</table>
</table-wrap>
<fig id="f2" position="float">
<label>Figure&#xa0;2</label>
<caption>
<p>Representation of the environmental niches of both species through ellipsoids and the overlap between them. The 3-D space corresponds to the three first principal components calculated with the same environmental variables used in the niche models. In red <italic>A. melanoxylon</italic>, green <italic>A. dealbata</italic>.</p>
</caption>
<graphic mimetype="image" mime-subtype="tiff" xlink:href="fpls-14-1125019-g002.tif"/>
</fig>
</sec>
<sec id="s3_2">
<title>Suitability - performance relationship</title>
<p>The goodness of fit of all models was very low (R<sup>2</sup> and McFadden&#x2019;s pseudo R<sup>2</sup> values, see <xref ref-type="table" rid="T4">
<bold>Table&#xa0;4</bold>
</xref>). The relationship between suitability and performance was weak for all regressions. For both species, the value of the slopes was non-significant according to the 95% confidence intervals (<xref ref-type="table" rid="T4">
<bold>Table&#xa0;4</bold>
</xref>).</p>
<table-wrap id="T4" position="float">
<label>Table&#xa0;4</label>
<caption>
<p>Results for simple lineal and quantile lineal models for the relationship between sustainability and tree growth for both Acacia species.</p>
</caption>
<table frame="hsides">
<thead>
<tr>
<th valign="middle" align="left">Linear model</th>
<th valign="middle" align="center">Intercept</th>
<th valign="middle" align="center">Slope</th>
<th valign="middle" align="center">Slope 95% CI</th>
<th valign="middle" align="center">R2</th>
</tr>
</thead>
<tbody>
<tr>
<td valign="middle" align="left">A. melanoxylon</td>
<td valign="middle" align="center">0.749</td>
<td valign="middle" align="center">-1.035</td>
<td valign="middle" align="center">[-3.744, 5.243]</td>
<td valign="middle" align="center">0.004</td>
</tr>
<tr>
<td valign="middle" align="left">A. dealbata</td>
<td valign="middle" align="center">-0.44</td>
<td valign="middle" align="center">0.624</td>
<td valign="middle" align="center">[-1.644, 0.765]</td>
<td valign="middle" align="center">0.013</td>
</tr>
<tr>
<td valign="middle" align="left">Quantile lineal model</td>
<td valign="middle" align="center">Intercept</td>
<td valign="middle" align="center">Slope</td>
<td valign="middle" align="center">Slope 95% CI</td>
<td valign="middle" align="center">Pseudo-R2</td>
</tr>
<tr>
<td valign="middle" align="left">A. melanoxylon</td>
<td valign="middle" align="center">-1.757</td>
<td valign="middle" align="center">3.969</td>
<td valign="middle" align="center">[-12.46, 22.43]</td>
<td valign="middle" align="center">0.039</td>
</tr>
<tr>
<td valign="middle" align="left">A. dealbata</td>
<td valign="middle" align="center">1.119</td>
<td valign="middle" align="center">0.107</td>
<td valign="middle" align="center">[-3.493, 2.774]</td>
<td valign="middle" align="center">0.003</td>
</tr>
</tbody>
</table>
</table-wrap>
</sec>
</sec>
<sec id="s4" sec-type="discussion">
<title>Discussion</title>
<p>We obtained a good model performance for <italic>A. dealbata</italic> and <italic>A. melanoxylon.</italic> Although both species presented areas with moderate to high suitability south of 33&#xb0; S (<xref ref-type="fig" rid="f1">
<bold>Figure&#xa0;1</bold>
</xref>), the latter has a larger area of high suitability. The evaluation of variable importance showed similarities between the variables that characterize each species&#x2019; niche, showing that the first five more important variables were the same. The native distribution range of <italic>A. dealbata</italic> is narrower than <italic>A. melanoxylon. Acacia melanoxylon</italic> occupies well-drained soils in cool and warm, humid climates (<xref ref-type="bibr" rid="B71">Weber, 2017</xref>; <xref ref-type="bibr" rid="B9">CABI, 2022</xref>). Also, our analysis show that climatic variables were the more important and soil variables were the less important for determining the distribution of both species. These results were expected considering the native habitats of these species. Temperature and water availability have been described as key predictors for the distribution of both species. Maximum and minimum temperatures in the native range from 23 to 26&#xb0; C and 1- 10&#xb0;, respectively (<xref ref-type="bibr" rid="B71">Weber, 2017</xref>; <xref ref-type="bibr" rid="B9">CABI, 2022</xref>). <italic>Acacia dealbata</italic> grows under drier conditions on several soil classes in cool to warm sub-humid climates (<xref ref-type="bibr" rid="B71">Weber, 2017</xref>; <xref ref-type="bibr" rid="B9">CABI, 2022</xref>). This species occupies habitats with over 500&#xa0;mm rainfall, usually at altitudes from 350&#x2013;1000 m above sea level (<xref ref-type="bibr" rid="B44">May and Attiwill, 2003</xref>; <xref ref-type="bibr" rid="B39">Lorenzo et&#xa0;al., 2010</xref>). Both species are fast-growth colonizers that can expand their initial introduction range by establishing new populations, usually associated with rivers, roads, post-fire, and degraded lands, i.e., strongly associated with anthropogenic disturbances (<xref ref-type="bibr" rid="B43">Matthei, 1995</xref>; <xref ref-type="bibr" rid="B50">Pauchard and Maheu-Giroux, 2007</xref>; <xref ref-type="bibr" rid="B51">Pe&#xf1;a et&#xa0;al., 2007</xref>). Both species are problematic in Chile, and caution is advised in their silvicultural management (<xref ref-type="bibr" rid="B51">Pe&#xf1;a et&#xa0;al., 2007</xref>; <xref ref-type="bibr" rid="B36">Langdon et&#xa0;al., 2019</xref>). According to our results, the main concern is the potential expansion of both species southward of their current limit, similar to previous results (<xref ref-type="bibr" rid="B36">Langdon et&#xa0;al., 2019</xref>). <xref ref-type="bibr" rid="B18">Fuentes et&#xa0;al. (2014)</xref> indicated that the current southern limit of both species in Chile occurs near 43&#xb0;S. Our projections show that suitable habitats for both species can be found far south of this limit (Southern Patagonia), which adds our results to the several calls to increase control efforts to prevent colonization beyond the current invaded area (<xref ref-type="bibr" rid="B36">Langdon et&#xa0;al., 2019</xref>). In the same vein, expansion northward is also possible. According to our models, suitable habitats can be found over 32&#xb0;S, in the central valley for <italic>A. melanoxylon</italic> and close to the Andes for <italic>A. dealbata.</italic> However, in this region, the presence of native forests is significantly lower than in southern Chile (<xref ref-type="bibr" rid="B42">Luebert and Pliscoff, 2006</xref>; <xref ref-type="bibr" rid="B61">Rundel et&#xa0;al., 2007</xref>), which suggests the impacts of the invasions could be quite different in northern and southern Chile.</p>
<p>The fact that none of the edaphic variables were important when characterizing the species&#x2019; environmental requirements may be explained by the fact that both <italic>A. dealbata</italic> and <italic>A. melanoxylon</italic> can fix atmospheric nitrogen (<xref ref-type="bibr" rid="B56">Quiroz et&#xa0;al., 2009</xref>; <xref ref-type="bibr" rid="B7">Brockwell et&#xa0;al., 2005</xref>). In South Africa, <xref ref-type="bibr" rid="B23">Gouws and Shackleton (2019)</xref> also found no relationship between soil properties and plant density or biomass. <italic>Acacia dealbata</italic> increases several nutrient concentrations (<xref ref-type="bibr" rid="B39">Lorenzo et&#xa0;al., 2010</xref>). Potentially available nitrogen, total nitrogen, and organic carbon increase in habitats with <italic>A. dealbata</italic> (<xref ref-type="bibr" rid="B44">May and Attiwill, 2003</xref>; <xref ref-type="bibr" rid="B39">Lorenzo et&#xa0;al., 2010</xref>), with long terms effects (<xref ref-type="bibr" rid="B66">Souza-Alonso et&#xa0;al., 2015</xref>).</p>
<p>Despite the high accuracy of our models, we did not observe an association between suitability and tree growth. <xref ref-type="bibr" rid="B45">Midolo et&#xa0;al. (2021)</xref> suggested that an implicit and scarcely tested assumption in niche models is that individual fitness should be higher at the center of the environmental niche, what they called the &#x201c;fitness-centre&#x201d; hypothesis. However, they found that the support for this hypothesis in actual data was scarce (<xref ref-type="bibr" rid="B45">Midolo et&#xa0;al., 2021</xref>). Similarly, <xref ref-type="bibr" rid="B6">Bernal-Escobar et&#xa0;al. (2022)</xref> said that, according to the fitness-suitability hypothesis, there should be a positive relationship between climate suitability and tree growth rates. These authors, however, found a negative relationship in both gymnosperms and angiosperms trees. In a more detailed analysis, <xref ref-type="bibr" rid="B62">Sanchez-Martinez et&#xa0;al. (2021)</xref> suggested that the positive relationship between suitability and tree growth exists, but only for models fitted using locations with the highest performance (top 10-30% tree growth). In this sense, the relationship seems valid only for sites where trees show very high performance (<xref ref-type="bibr" rid="B62">Sanchez-Martinez et&#xa0;al., 2021</xref>). However, including sites where growth is moderate or low weakens the relationship. A potential explanation comes from the inclusion in the dataset of sink populations outside the fundamental niche, where fitness is null, and the species occurrence depends exclusively on propagule arrival (<xref ref-type="bibr" rid="B26">Guisan et&#xa0;al., 2017</xref>). Also, in the particular cases of <italic>A. dealbata</italic> and <italic>A. melanoxylon</italic>, these species presents high plasticity to soil water availability and other environmental conditions (<xref ref-type="bibr" rid="B54">Pohlman et&#xa0;al., 2005</xref>) and is capable of modifying from soil chemical properties to soil and plant microbial communities (<xref ref-type="bibr" rid="B39">Lorenzo et&#xa0;al., 2010</xref>; <xref ref-type="bibr" rid="B22">Gonz&#xe1;lez-Mu&#xf1;oz et&#xa0;al., 2012</xref>; <xref ref-type="bibr" rid="B37">Lazzaro et&#xa0;al., 2014</xref>; <xref ref-type="bibr" rid="B25">Guisande-Collazo et&#xa0;al., 2016</xref>), a situation that has also been confirmed in Chile (<xref ref-type="bibr" rid="B19">Garc&#xed;a et&#xa0;al., 2012</xref>). This capacity is a critical factor that makes this species a successful invader since these soil modifications boost the establishment of its seedlings (<xref ref-type="bibr" rid="B40">Lorenzo et&#xa0;al., 2017</xref>).</p>
<p>
<xref ref-type="bibr" rid="B14">Dolos et&#xa0;al. (2015)</xref> proposed a different explanation. Since suitability indexes do not consider the influence of pathogens/herbivores and competition on species distribution and their influence on mortality, including demographic information and interactions (mortality, herbivory, among others) may significantly improve these models&#x2019; performance (<xref ref-type="bibr" rid="B14">Dolos et&#xa0;al., 2015</xref>). For example, Acacia invasions usually take advantage of human-mediated disturbances (<xref ref-type="bibr" rid="B39">Lorenzo et&#xa0;al., 2010</xref>). In central-south Chile, Acacias could be excluded from some suitable sites due to plant community resistance. However the occurrence of removal of native flora or wildfires provides the opportunity for colonization. In these sites, the relationship between suitability and performance is absent under the lack of disturbances, but after these sudden changes, the relationship emerges.</p>
<p>Despite all these explanations, the lack of association may occur because plant growth is not a good proxy for fitness or because fitness depends on biophysical factors different from those used in training the SDM (<xref ref-type="bibr" rid="B6">Bernal-Escobar et&#xa0;al., 2022</xref>). In particular, the availability and use of direct reproductive metrics, like seed production, in the evaluation of this relationship could improve the quality of the analysis. Unfortunately, this information is not available in our case.</p>
<p>The relationship between suitability and performance has been reviewed mainly using abundance in other groups (e.g., <xref ref-type="bibr" rid="B70">VanDerWal et&#xa0;al., 2009</xref>; <xref ref-type="bibr" rid="B32">Januario et&#xa0;al., 2015</xref>). In plants, <xref ref-type="bibr" rid="B72">Weber et&#xa0;al. (2017)</xref> reported correlations between suitability and abundance mostly below 0.4 (Figure&#xa0;3A in <xref ref-type="bibr" rid="B72">Weber et&#xa0;al., 2017</xref>). On the other hand, <xref ref-type="bibr" rid="B11">Dallas and Hastings (2018)</xref> report that suitability is mostly unconnected to abundance after trained models for 158 species, showing correlations close to zero in most cases. Patch size and plant dispersal limitations have been suggested as potential factors causing this lack of association (<xref ref-type="bibr" rid="B11">Dallas and Hastings, 2018</xref>). However, these factors are irrelevant for forest plantations, where site, plantation density, and management are human-mediated.</p>
<p>For many reasons, a strong correlation between suitability and performance is desirable and theoretically plausible. Control, like invasive species management (<xref ref-type="bibr" rid="B33">Jarnevich et&#xa0;al., 2021</xref>) or conservation activities (<xref ref-type="bibr" rid="B45">Midolo et&#xa0;al., 2021</xref>), would benefit from SDMs with a strong association with performance; however, our results and several others pointed out a weak association in most real cases. In this context, plans to control invasive species should be cautious in assuming this relationship in their design and consider other indicators such as species establishment success.</p>
</sec>
<sec id="s5" sec-type="data-availability">
<title>Data availability statement</title>
<p>Publicly available datasets were analyzed in this study. This data can be found here: GBIF occurrence.  doi: 10.15468/dl.g3hgzt; GBIF occurrence. doi: 10.15468/dl.4bcd24; <uri xlink:href="https://biocache.ala.org.au/occurrences/search?q=Acacia%20dealbata&amp;qualityProfile=ALA">https://biocache.ala.org.au/occurrences/search?q=Acacia%20dealbata&amp;qualityProfile=ALA</uri>; <uri xlink:href="https://biocache.ala.org.au/occurrences/search?q=lsid%3Ahttps%3A%2F%2Fid.biodiversity.org.au%2Fnode%2Fapni%2F2903496&amp;qualityProfile=ALA">https://biocache.ala.org.au/occurrences/search?q=lsid%3Ahttps%3A%2F%2Fid.biodiversity.org.au%2Fnode%2Fapni%2F2903496&amp;qualityProfile=ALA</uri>, and <uri xlink:href="https://bibliotecadigital.infor.cl/handle/20.500.12220/18550?show=full">https://bibliotecadigital.infor.cl/handle/20.500.12220/18550?show=full</uri>.</p>
</sec>
<sec id="s6" sec-type="author-contributions">
<title>Author contributions</title>
<p>SE design the study, analyzed the data, wrote a draft. CS design the study, wrote a draft, reviewed final version. DL design the study, reviewed final version. PN design the study, reviewed final version. All authors contributed to the article and approved the submitted version</p>
</sec>
</body>
<back>
<sec id="s7" sec-type="funding-information">
<title>Funding</title>
<p>The authors were supported by ANID PIA/BASAL FB0002 and Fondecyt 1211114.</p>
</sec>
<sec id="s8" 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="s9" 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>
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