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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.2023.1125607</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>Heterogeneity in the isolation of patches may be essential for the action of metacommunity mechanisms</article-title>
</title-group>
<contrib-group>
<contrib contrib-type="author">
<name><surname>Borthagaray</surname> <given-names>Ana I.</given-names></name>
<xref ref-type="aff" rid="aff1"><sup>1</sup></xref>
<uri xlink:href="http://loop.frontiersin.org/people/1862513/overview"/>
</contrib>
<contrib contrib-type="author">
<name><surname>Cunillera-Montcus&#x000ED;</surname> <given-names>David</given-names></name>
<xref ref-type="aff" rid="aff1"><sup>1</sup></xref>
<xref ref-type="aff" rid="aff2"><sup>2</sup></xref>
<xref ref-type="aff" rid="aff3"><sup>3</sup></xref>
<uri xlink:href="http://loop.frontiersin.org/people/2180463/overview"/>
</contrib>
<contrib contrib-type="author">
<name><surname>Bou</surname> <given-names>Jordi</given-names></name>
<xref ref-type="aff" rid="aff4"><sup>4</sup></xref>
</contrib>
<contrib contrib-type="author">
<name><surname>Tornero</surname> <given-names>Irene</given-names></name>
<xref ref-type="aff" rid="aff3"><sup>3</sup></xref>
<xref ref-type="aff" rid="aff5"><sup>5</sup></xref>
</contrib>
<contrib contrib-type="author">
<name><surname>Boix</surname> <given-names>Dani</given-names></name>
<xref ref-type="aff" rid="aff3"><sup>3</sup></xref>
</contrib>
<contrib contrib-type="author">
<name><surname>Anton-Pardo</surname> <given-names>Maria</given-names></name>
<xref ref-type="aff" rid="aff3"><sup>3</sup></xref>
<xref ref-type="aff" rid="aff6"><sup>6</sup></xref>
<xref ref-type="author-notes" rid="fn002"><sup>&#x02020;</sup></xref>
</contrib>
<contrib contrib-type="author">
<name><surname>Ortiz</surname> <given-names>Esteban</given-names></name>
<xref ref-type="aff" rid="aff1"><sup>1</sup></xref>
</contrib>
<contrib contrib-type="author">
<name><surname>Mehner</surname> <given-names>Thomas</given-names></name>
<xref ref-type="aff" rid="aff7"><sup>7</sup></xref>
<uri xlink:href="http://loop.frontiersin.org/people/1626626/overview"/>
</contrib>
<contrib contrib-type="author">
<name><surname>Quintana</surname> <given-names>Xavier D.</given-names></name>
<xref ref-type="aff" rid="aff3"><sup>3</sup></xref>
</contrib>
<contrib contrib-type="author">
<name><surname>Gasc&#x000F3;n</surname> <given-names>St&#x000E9;phanie</given-names></name>
<xref ref-type="aff" rid="aff3"><sup>3</sup></xref>
</contrib>
<contrib contrib-type="author" corresp="yes">
<name><surname>Arim</surname> <given-names>Mat&#x000ED;as</given-names></name>
<xref ref-type="aff" rid="aff1"><sup>1</sup></xref>
<xref ref-type="aff" rid="aff8"><sup>8</sup></xref>
<xref ref-type="corresp" rid="c001"><sup>&#x0002A;</sup></xref>
</contrib>
</contrib-group>
<aff id="aff1"><sup>1</sup><institution>Departamento de Ecolog&#x000ED;a y Gesti&#x000F3;n Ambiental, Centro Universitario Regional del Este (CURE), Universidad de la Rep&#x000FA;blica</institution>, <addr-line>Maldonado</addr-line>, <country>Uruguay</country></aff>
<aff id="aff2"><sup>2</sup><institution>FEHM-Lab, Section of Ecology, Department of Evolutionary Biology, Ecology and Environmental Sciences, University of Barcelona</institution>, <addr-line>Barcelona</addr-line>, <country>Spain</country></aff>
<aff id="aff3"><sup>3</sup><institution>GRECO, Institute of Aquatic Ecology, University of Girona</institution>, <addr-line>Girona</addr-line>, <country>Spain</country></aff>
<aff id="aff4"><sup>4</sup><institution>LAGP-Flora and Vegetation, Institute of the Environment, University of Girona</institution>, <addr-line>Girona</addr-line>, <country>Spain</country></aff>
<aff id="aff5"><sup>5</sup><institution>Institute of Aquatic Ecology, Centre for Ecological Research</institution>, <addr-line>Budapest</addr-line>, <country>Hungary</country></aff>
<aff id="aff6"><sup>6</sup><institution>Cavanilles Institute of Biodiversity and Evolutionary Biology, University of Valencia</institution>, <addr-line>Valencia</addr-line>, <country>Spain</country></aff>
<aff id="aff7"><sup>7</sup><institution>Leibniz Institute of Freshwater Ecology and Inland Fisheries (IGB)</institution>, <addr-line>Berlin</addr-line>, <country>Germany</country></aff>
<aff id="aff8"><sup>8</sup><institution>Centro Interdisciplinario de Ciencia de Datos y Aprendizaje Autom&#x000E1;tico (CICADA), Universidad de la Rep&#x000FA;blica</institution>, <addr-line>Montevideo</addr-line>, <country>Uruguay</country></aff>
<author-notes>
<fn fn-type="edited-by"><p>Edited by: Daniela N. L&#x000F3;pez, Universidad Austral de Chile, Chile</p></fn>
<fn fn-type="edited-by"><p>Reviewed by: Ferenc Jordan, Hungarian Academy of Science, Hungary; Matthew Joseph Michalska-Smith, University of Minnesota Twin Cities, United States</p></fn>
<corresp id="c001">&#x0002A;Correspondence: Mat&#x000ED;as Arim <email>matiasarim&#x00040;gmail.com</email>; <email>arim&#x00040;fcien.edu.uy</email></corresp>
<fn fn-type="other" id="fn001"><p>This article was submitted to Population, Community, and Ecosystem Dynamics, a section of the journal Frontiers in Ecology and Evolution</p></fn>
<fn fn-type="present-address" id="fn002"><p>&#x02020;Present address: Maria Anton-Pardo, Biodiversity and Conservation Area, Department of Biology and Geology, Physics and Inorganic Chemistry, Rey Juan Carlos University, Valencia, Spain</p></fn></author-notes>
<pub-date pub-type="epub">
<day>31</day>
<month>03</month>
<year>2023</year>
</pub-date>
<pub-date pub-type="collection">
<year>2023</year>
</pub-date>
<volume>11</volume>
<elocation-id>1125607</elocation-id>
<history>
<date date-type="received">
<day>16</day>
<month>12</month>
<year>2022</year>
</date>
<date date-type="accepted">
<day>08</day>
<month>03</month>
<year>2023</year>
</date>
</history>
<permissions>
<copyright-statement>Copyright &#x000A9; 2023 Borthagaray, Cunillera-Montcus&#x000ED;, Bou, Tornero, Boix, Anton-Pardo, Ortiz, Mehner, Quintana, Gasc&#x000F3;n and Arim.</copyright-statement>
<copyright-year>2023</copyright-year>
<copyright-holder>Borthagaray, Cunillera-Montcus&#x000ED;, Bou, Tornero, Boix, Anton-Pardo, Ortiz, Mehner, Quintana, Gasc&#x000F3;n and Arim</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 spatial isolation gradient of communities and the gradient in the species dispersal ability are recognized as determinants of biodiversity in metacommunities. In spite of this, mean field models, spatially explicit models, and experiments were mainly focused on idealized spatial arrangements of communities leaving aside the combining role of dispersal and isolation gradients in metacommunity processes. Consequently, we have an incipient understanding of the role of the real spatial arrangement of communities on biodiversity patterns. We focus on six metacommunities for which confident information about the spatial arrangement of water bodies is available. Using coalescent metacommunity models and null models that randomize the location of water bodies, we estimated the potential effect of the landscape on biodiversity and its dependence on species dispersal ability. At extremely low or high dispersal abilities, the location of ponds does not influence diversity because different communities are equally affected by the low or high incoming dispersal. At intermediate dispersal abilities, peripheral communities present a much lower richness and higher beta diversity than central communities. Moreover, metacommunities from real landscapes host more biodiversity than randomized landscapes, a result that is determined by the heterogeneity in the geographic isolation of communities. In a dispersal gradient, mass effects systematically increase the local richness and decrease beta diversity. However, the spatial arrangement of patches only has a large importance in metacommunity processes at intermediate dispersal abilities, which ensures access to central locations but limits dispersal in isolated communities. The ongoing reduction in spatial extent and simplification of the landscape may consequently undermine the metacommunity processes that support biodiversity, something that should be explicitly considered in preserving and restoring strategies.</p></abstract>
<kwd-group>
<kwd>geographic isolation</kwd>
<kwd>dispersal ability</kwd>
<kwd>coalescent models</kwd>
<kwd>metacommunity</kwd>
<kwd>biodiversity</kwd>
</kwd-group>
<contract-sponsor id="cn001">Horizon 2020 Framework Programme<named-content content-type="fundref-id">10.13039/100010661</named-content></contract-sponsor>
<contract-sponsor id="cn002">Comisi&#x000F3;n Sectorial de Investigaci&#x000F3;n Cient&#x000ED;fica<named-content content-type="fundref-id">10.13039/501100006049</named-content></contract-sponsor>
<contract-sponsor id="cn003">Agencia Nacional de Investigaci&#x000F3;n e Innovaci&#x000F3;n<named-content content-type="fundref-id">10.13039/100008725</named-content></contract-sponsor>
<counts>
<fig-count count="4"/>
<table-count count="0"/>
<equation-count count="0"/>
<ref-count count="99"/>
<page-count count="12"/>
<word-count count="9334"/>
</counts>
</article-meta>
</front>
<body>
<sec sec-type="intro" id="s1">
<title>Introduction</title>
<p>Dispersal among communities is increasingly recognized as a main determinant of biodiversity structure through a range of mechanisms captured in the metacommunity theory (Cadotte, <xref ref-type="bibr" rid="B20">2006</xref>; Leibold and Chase, <xref ref-type="bibr" rid="B59">2018</xref>; Lu, <xref ref-type="bibr" rid="B63">2021</xref>; Cathey and Brown, <xref ref-type="bibr" rid="B26">2022</xref>). In general, metacommunity mechanisms become important when dispersal is strong enough to affect local dynamics but not too high to homogenize the system (Leibold et al., <xref ref-type="bibr" rid="B60">2004</xref>; Loreau, <xref ref-type="bibr" rid="B61">2010</xref>; Leibold and Chase, <xref ref-type="bibr" rid="B59">2018</xref>). At intermediate dispersal levels, both local processes and regional dispersal are determining community assembly, none of them being strong enough to override the effect of the other, a scenario that promotes species coexistence by a balance between patch dynamics, species sorting, and mass effects (Thompson et al., <xref ref-type="bibr" rid="B89">2017</xref>; Suzuki and Economo, <xref ref-type="bibr" rid="B87">2021</xref>). This generates a hump-shaped relationship between the local organization of communities and the dispersal rate (Mouquet and Loreau, <xref ref-type="bibr" rid="B69">2003</xref>; Leibold and Chase, <xref ref-type="bibr" rid="B59">2018</xref>; Suzuki and Economo, <xref ref-type="bibr" rid="B87">2021</xref>). Congruently, local richness, functional diversity, food web complexity, and species co-occurrence have been shown to peak at intermediate dispersal rates among communities (Pillai et al., <xref ref-type="bibr" rid="B76">2012</xref>; Bender et al., <xref ref-type="bibr" rid="B10">2016</xref>; Mougi and Kondoh, <xref ref-type="bibr" rid="B67">2016</xref>; Leibold and Chase, <xref ref-type="bibr" rid="B59">2018</xref>; Suzuki and Economo, <xref ref-type="bibr" rid="B87">2021</xref>). Dispersal is also a force that can homogenize the structure of different communities, causing a decrease in beta diversity (Loreau, <xref ref-type="bibr" rid="B61">2010</xref>; Gianuca et al., <xref ref-type="bibr" rid="B40">2017</xref>; Leibold and Chase, <xref ref-type="bibr" rid="B59">2018</xref>). These trends in alpha and beta diversities were consistently reported in both theoretical and empirical studies (Grainger and Gilbert, <xref ref-type="bibr" rid="B44">2016</xref>; Leibold and Chase, <xref ref-type="bibr" rid="B59">2018</xref>).</p>
<p>The metacommunity theory mostly stands on the analyses of spatially implicit systems, in which all patches are equally connected to all others (but see Economo and Keitt, <xref ref-type="bibr" rid="B36">2010</xref>; Ai et al., <xref ref-type="bibr" rid="B1">2013</xref>; Suzuki and Economo, <xref ref-type="bibr" rid="B87">2021</xref>), and species have equal dispersal rates (Borthagaray et al., <xref ref-type="bibr" rid="B13">2015a</xref>,<xref ref-type="bibr" rid="B16">b</xref>; Grainger and Gilbert, <xref ref-type="bibr" rid="B44">2016</xref>). Furthermore, spatially explicit models and experiments usually focus on the idealized spatial arrangement of local communities&#x02014;random locations, chains, stars, and grids (Economo and Keitt, <xref ref-type="bibr" rid="B35">2008</xref>, <xref ref-type="bibr" rid="B36">2010</xref>; Borthagaray et al., <xref ref-type="bibr" rid="B12">2014</xref>; Arim et al., <xref ref-type="bibr" rid="B5">2016</xref>; Grainger and Gilbert, <xref ref-type="bibr" rid="B44">2016</xref>; H&#x000E4;ussler et al., <xref ref-type="bibr" rid="B50">2021</xref>; Suzuki and Economo, <xref ref-type="bibr" rid="B87">2021</xref>). Therefore, it is assumed that dispersal gradients equally affect all species and communities (Grainger and Gilbert, <xref ref-type="bibr" rid="B44">2016</xref>; Suzuki and Economo, <xref ref-type="bibr" rid="B87">2021</xref>). However, in real species pools, there are large variations in species&#x00027; abilities to disperse (De Bie et al., <xref ref-type="bibr" rid="B33">2012</xref>; Jones et al., <xref ref-type="bibr" rid="B57">2015</xref>), and real landscape communities are not uniformly distant from each other (Economo and Keitt, <xref ref-type="bibr" rid="B36">2010</xref>; Ai et al., <xref ref-type="bibr" rid="B1">2013</xref>; Grilli et al., <xref ref-type="bibr" rid="B45">2015</xref>; McManus et al., <xref ref-type="bibr" rid="B66">2021</xref>; Suzuki and Economo, <xref ref-type="bibr" rid="B87">2021</xref>). In addition, the relative location of patches in the landscape determines a significant heterogeneity in the geographic distance among them that affects source&#x02013;sink dynamics (Hanski, <xref ref-type="bibr" rid="B48">1999</xref>; Muneepeerakul et al., <xref ref-type="bibr" rid="B70">2008</xref>; Economo and Keitt, <xref ref-type="bibr" rid="B36">2010</xref>; Grilli et al., <xref ref-type="bibr" rid="B45">2015</xref>; McManus et al., <xref ref-type="bibr" rid="B66">2021</xref>; Suzuki and Economo, <xref ref-type="bibr" rid="B87">2021</xref>). This gradient in the geographic isolation of patches was associated with trends in local richness (Urban and Keitt, <xref ref-type="bibr" rid="B92">2001</xref>; Economo and Keitt, <xref ref-type="bibr" rid="B36">2010</xref>; Borthagaray et al., <xref ref-type="bibr" rid="B13">2015a</xref>, <xref ref-type="bibr" rid="B15">2020</xref>; Henriques-Silva et al., <xref ref-type="bibr" rid="B51">2019</xref>), numerical abundance (Cunillera-Montcus et al., <xref ref-type="bibr" rid="B30">2020b</xref>), functional diversity (Arellano-Rivas et al., <xref ref-type="bibr" rid="B2">2016</xref>; Harvey and Altermatt, <xref ref-type="bibr" rid="B49">2019</xref>; Borthagaray et al., <xref ref-type="bibr" rid="B15">2020</xref>), adaptive response of species to environmental change (McManus et al., <xref ref-type="bibr" rid="B66">2021</xref>), spatial and temporal turnover (Carrara et al., <xref ref-type="bibr" rid="B23">2012</xref>; Lu et al., <xref ref-type="bibr" rid="B64">2019</xref>; Jabot et al., <xref ref-type="bibr" rid="B56">2020</xref>), size structure (Castle et al., <xref ref-type="bibr" rid="B25">2011</xref>; Borthagaray et al., <xref ref-type="bibr" rid="B11">2012</xref>), trophic structure (Chase and Shulman, <xref ref-type="bibr" rid="B29">2009</xref>; Arim et al., <xref ref-type="bibr" rid="B5">2016</xref>; Ryser et al., <xref ref-type="bibr" rid="B83">2019</xref>), and ecosystem functioning (Pi&#x000F1;eiro-Guerra et al., <xref ref-type="bibr" rid="B77">2014</xref>; Maureaud et al., <xref ref-type="bibr" rid="B65">2019</xref>; Gonzalez et al., <xref ref-type="bibr" rid="B42">2020</xref>).</p>
<p>Consequently, a mass of evidence has accumulated indicating that both the geographic isolation gradient of patches and the gradient in species dispersal abilities are the main determinants of biodiversity patterns in metacommunities (Fortin et al., <xref ref-type="bibr" rid="B37">2021</xref>; Suzuki and Economo, <xref ref-type="bibr" rid="B87">2021</xref>; Cathey and Brown, <xref ref-type="bibr" rid="B26">2022</xref>). Furthermore, their effects are interrelated. At low dispersal rates, local communities are essentially disconnected from each other, no matter if they are in a central or isolated location (e.g., Phillipsen and Lytle, <xref ref-type="bibr" rid="B75">2013</xref>; Ca&#x000F1;edo-Arg&#x000FC;elles et al., <xref ref-type="bibr" rid="B22">2015</xref>; Castillo-Escriv et al., <xref ref-type="bibr" rid="B24">2017</xref>; Cunillera-Montcus et al., <xref ref-type="bibr" rid="B32">2021</xref>). At high dispersal rates, geographically distant patches are easily reached, and all communities are equally affected by dispersal (e.g., Sarremejane et al., <xref ref-type="bibr" rid="B85">2017</xref>). Thus, it is at intermediate dispersal rates that the geographic isolation gradient of communities may play the most important role in determining biodiversity (e.g., Fortuna et al., <xref ref-type="bibr" rid="B38">2006</xref>; Economo and Keitt, <xref ref-type="bibr" rid="B36">2010</xref>; Ca&#x000F1;edo-Arg&#x000FC;elles et al., <xref ref-type="bibr" rid="B22">2015</xref>). Notably, we have no clear understanding of how the spatial structure of a real landscape interacting with species dispersal abilities may determine metacommunity biodiversity at intermediate dispersal rates (Hillebrand et al., <xref ref-type="bibr" rid="B53">2018</xref>; Thompson et al., <xref ref-type="bibr" rid="B88">2020</xref>; Bauer et al., <xref ref-type="bibr" rid="B8">2021</xref>; Fortin et al., <xref ref-type="bibr" rid="B37">2021</xref>; Suzuki and Economo, <xref ref-type="bibr" rid="B87">2021</xref>).</p>
<p>In this study, we focus on six metacommunities of ponds for which reliable information about their spatial arrangement is available. Using coalescent metacommunity models in these real landscapes, we analyzed the following: first, the interaction between the geographic isolation gradient and the dispersal ability gradient as the determinant of metacommunity diversity, and second, the importance of the real spatial arrangement of ponds in the landscape on diversity patterns by means of contrasting metacommunity diversity in real vs. randomized landscapes.</p></sec>
<sec sec-type="methods" id="s2">
<title>Methods</title>
<p>A total of six metacommunities of ponds from Europe (5) and South America (1) were analyzed here as model systems (<xref ref-type="fig" rid="F1">Figure 1</xref>). These landscapes were selected as model systems because they combine reliable information about the spatial location of local communities, the geographic or microclimatic barrier that constrains dispersal within the metacommunity, and previous studies support the role of metacommunity processes determining their diversity patterns (Arim et al., <xref ref-type="bibr" rid="B3">2010</xref>, <xref ref-type="bibr" rid="B4">2011</xref>; Ball&#x000F3;n et al., <xref ref-type="bibr" rid="B6">2016</xref>; Tornero et al., <xref ref-type="bibr" rid="B91">2016</xref>, <xref ref-type="bibr" rid="B90">2018</xref>; Cunillera-Montcus et al., <xref ref-type="bibr" rid="B31">2020a</xref>; Rodriguez-Tricot and Arim, <xref ref-type="bibr" rid="B81">2020</xref>). The set of metacommunities considered covers a wide range of spatial arrangements of water bodies, including metacommunities from 61 to up to 542 small waterbodies and total areas from 2 to 560 km<sup>2</sup> (see <xref ref-type="supplementary-material" rid="SM1">Supplementary Table S1</xref>). Information about waterbody areas was not available for all communities, and consequently, we focus here only on their spatial arrangement. The range of dispersal abilities that we used in this study for the species inhabiting these systems (i.e., from 10 to 3,000 meters) is within the range of geographic distances observed among ponds (Arim et al., <xref ref-type="bibr" rid="B4">2011</xref>; Borthagaray et al., <xref ref-type="bibr" rid="B13">2015a</xref>,<xref ref-type="bibr" rid="B16">b</xref>; Tornero et al., <xref ref-type="bibr" rid="B90">2018</xref>; Cunillera-Montcus et al., <xref ref-type="bibr" rid="B31">2020a</xref>, <xref ref-type="bibr" rid="B32">2021</xref>; Sarremejane et al., <xref ref-type="bibr" rid="B84">2020</xref>). Hereafter, we refer to these systems as pondscapes.</p>
<fig id="F1" position="float">
<label>Figure 1</label>
<caption><p>Pondscapes analyzed in this study. Five European pondscapes [Albera, Clots de Guils, Empord&#x000E0; Wetlands (PNAE) and Vila Nova de Milfontes] and one Uruguayan (Rocha). Minimum spanning trees (the network that connects all nodes with a minimum of links) are presented for visualizing the spatial arrangement of waterbodies.</p></caption>
<graphic mimetype="image" mime-subtype="tiff" xlink:href="fevo-11-1125607-g0001.tif"/>
</fig>
<p>To estimate the geographic isolation gradient for each pondscape, we define a fully connected network, in which the links between ponds were weighted by the inverse of the Euclidean distance between them, that is, <inline-formula><mml:math id="M4"><mml:msub><mml:mrow><mml:mi>w</mml:mi></mml:mrow><mml:mrow><mml:mi>i</mml:mi><mml:mi>j</mml:mi></mml:mrow></mml:msub><mml:mo>=</mml:mo><mml:mrow><mml:mo>(</mml:mo><mml:mrow><mml:mfrac><mml:mrow><mml:mn>1</mml:mn></mml:mrow><mml:mrow><mml:msub><mml:mrow><mml:mi>d</mml:mi></mml:mrow><mml:mrow><mml:mi>i</mml:mi><mml:mi>j</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:mfrac></mml:mrow><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula>. Based on these weighted networks, degree centrality was estimated as the sum of the weights of the links between one pond and all ponds in the network (Newman C. M., <xref ref-type="bibr" rid="B72">2018</xref>). A weighted degree is a metric of centrality in networks that well represents the relative geographic isolation of local communities in the pondscape (Urban et al., <xref ref-type="bibr" rid="B93">2009</xref>). Note that pond isolation is inverse to pond centrality. In this sense, the larger the degree of a pond, the larger the connectedness of this pond to other ponds in the community. Because of this, we opted to use a degree centrality because first, it has a direct interpretation&#x02014;it is proportional to the average inverse distance between a focal pond and all others&#x02014;and second, it provides similar information to alternative metrics such as closeness or eigenvector centrality (Newman M., <xref ref-type="bibr" rid="B73">2018</xref>). The effect of geographic isolation on species dispersal rate will depend on the dispersal ability of the species&#x02014;see in the next section (Keitt et al., <xref ref-type="bibr" rid="B58">1997</xref>; Bunn et al., <xref ref-type="bibr" rid="B19">2000</xref>; Urban and Keitt, <xref ref-type="bibr" rid="B92">2001</xref>).</p>
<sec>
<title>Metacommunity assembly</title>
<p>Coalescent and lottery models of metacommunities can capture the effect on diversity patterns of the balance between dispersal, drift, and selection by environmental filters and species interactions (Hubbell, <xref ref-type="bibr" rid="B55">2001</xref>; Rosindell et al., <xref ref-type="bibr" rid="B82">2011</xref>; Borthagaray et al., <xref ref-type="bibr" rid="B12">2014</xref>, <xref ref-type="bibr" rid="B14">2023</xref>; Worm and Tittensor, <xref ref-type="bibr" rid="B99">2018</xref>; Cunillera-Montcus et al., <xref ref-type="bibr" rid="B32">2021</xref>). In this sense, these models provide a methodological framework coherent with the community ecology theory (Vellend, <xref ref-type="bibr" rid="B95">2010</xref>, <xref ref-type="bibr" rid="B96">2016</xref>). These models are particularly suitable for detecting the effect of the landscape on dispersal patterns and biodiversity (Hubbell, <xref ref-type="bibr" rid="B55">2001</xref>; Rosindell et al., <xref ref-type="bibr" rid="B82">2011</xref>; Borthagaray et al., <xref ref-type="bibr" rid="B12">2014</xref>, <xref ref-type="bibr" rid="B14">2023</xref>; Worm and Tittensor, <xref ref-type="bibr" rid="B99">2018</xref>; Cunillera-Montcus et al., <xref ref-type="bibr" rid="B32">2021</xref>). While predictions of biodiversity patterns from coalescent and lottery models are more congruent, coalescent models are much faster, ensuring the analysis of a wider range, or scenarios (Munoz et al., <xref ref-type="bibr" rid="B71">2018</xref>; Worm and Tittensor, <xref ref-type="bibr" rid="B99">2018</xref>). Consequently, here, we use a spatially explicit coalescent model in which community dispersal is affected by their spatial location, and species compete for a fixed amount of resources in local communities&#x02014;represented by the number of individuals that can be hosted in each spatial patch (see Hubbell, <xref ref-type="bibr" rid="B55">2001</xref>; Economo and Keitt, <xref ref-type="bibr" rid="B35">2008</xref>, <xref ref-type="bibr" rid="B36">2010</xref>; Borthagaray et al., <xref ref-type="bibr" rid="B12">2014</xref>, <xref ref-type="bibr" rid="B14">2023</xref>; Worm and Tittensor, <xref ref-type="bibr" rid="B99">2018</xref>; Cunillera-Montcus et al., <xref ref-type="bibr" rid="B32">2021</xref>).</p>
<p>Each metacommunity was assembled with a coalescent dynamic in which one individual was randomly selected from a metacommunity species pool for colonizing each local community (see <xref ref-type="fig" rid="F2">Figure 2</xref>). Then, the community is filled with 100 individuals sequentially sampled as follows: (1) from the metacommunity species pool, (2) from neighboring communities, or (3) from the same local community with rates <italic>m</italic>.<italic>pool</italic>, <italic>m</italic>.<italic>neighbor</italic>, and 1 &#x02212; (<italic>m</italic>.<italic>pool</italic> &#x0002B; <italic>m</italic>.<italic>neighbor</italic>), respectively (Worm and Tittensor, <xref ref-type="bibr" rid="B99">2018</xref>; see also Munoz et al., <xref ref-type="bibr" rid="B71">2018</xref>; Cunillera-Montcus et al., <xref ref-type="bibr" rid="B32">2021</xref>; Borthagaray et al., <xref ref-type="bibr" rid="B14">2023</xref>). <italic>m</italic>.<italic>neighbor</italic> represents the migration rate from all other communities in the landscape (<italic>P</italic>). Migration from other local communities (<inline-formula><mml:math id="M5"><mml:mi>m</mml:mi><mml:mo>.</mml:mo><mml:mi>n</mml:mi><mml:mi>e</mml:mi><mml:mi>i</mml:mi><mml:mi>g</mml:mi><mml:mi>h</mml:mi><mml:mi>b</mml:mi><mml:mi>o</mml:mi><mml:mi>r</mml:mi><mml:mo>=</mml:mo><mml:msubsup><mml:mrow><mml:mo>&#x02211;</mml:mo></mml:mrow><mml:mrow><mml:mi>i</mml:mi><mml:mo>=</mml:mo><mml:mn>1</mml:mn></mml:mrow><mml:mrow><mml:mi>P</mml:mi></mml:mrow></mml:msubsup><mml:msub><mml:mrow><mml:mi>m</mml:mi></mml:mrow><mml:mrow><mml:mi>i</mml:mi><mml:mi>j</mml:mi></mml:mrow></mml:msub></mml:math></inline-formula>) is based on a dispersal kernel between two communities. This dispersal kernel was modeled with an exponential decay function as follows: <inline-formula><mml:math id="M6"><mml:msub><mml:mrow><mml:mi>m</mml:mi></mml:mrow><mml:mrow><mml:mi>i</mml:mi><mml:mi>j</mml:mi></mml:mrow></mml:msub><mml:mo>=</mml:mo><mml:mi>m</mml:mi><mml:mo>.</mml:mo><mml:mi>m</mml:mi><mml:mi>a</mml:mi><mml:mi>x</mml:mi><mml:mtext>&#x000A0;</mml:mtext><mml:mo>*</mml:mo><mml:mtext>&#x000A0;</mml:mtext><mml:msup><mml:mrow><mml:mi>e</mml:mi></mml:mrow><mml:mrow><mml:mo>-</mml:mo><mml:msub><mml:mrow><mml:msup><mml:mrow><mml:mi>b</mml:mi></mml:mrow><mml:mrow><mml:mo>*</mml:mo></mml:mrow></mml:msup><mml:mi>d</mml:mi></mml:mrow><mml:mrow><mml:mi>i</mml:mi><mml:mi>j</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:msup></mml:math></inline-formula> where <italic>d</italic><sub><italic>ij</italic></sub> is the geographic distance between communities <italic>i</italic> and <italic>j</italic> in meters, <italic>m</italic>.max is the migration between ponds 0 meter apart (<italic>m</italic>.max &#x0003D; 1), and <italic>b</italic> is a dispersal parameter that describes the decay in dispersal with distance <italic>d</italic><sub><italic>ij</italic></sub>. This parameter <italic>b</italic> was estimated considering the distance between communities at which migration decays to half of its maximum value, a distance defined as <italic>d</italic><sub>50</sub>, i.e., the parameter <italic>b</italic> is proportional to the inverse of the average dispersal distance (Hanski, <xref ref-type="bibr" rid="B48">1999</xref>), that is, when <italic>m</italic><sub><italic>ij</italic></sub> &#x0003D; 0.5, from the exponential decay function, <inline-formula><mml:math id="M7"><mml:mi>b</mml:mi><mml:mo>=</mml:mo><mml:mfrac><mml:mrow><mml:mo>-</mml:mo><mml:mi>l</mml:mi><mml:mi>o</mml:mi><mml:mi>g</mml:mi><mml:mrow><mml:mo stretchy="false">(</mml:mo><mml:mrow><mml:mn>0</mml:mn><mml:mo>.</mml:mo><mml:mn>5</mml:mn></mml:mrow><mml:mo stretchy="false">)</mml:mo></mml:mrow></mml:mrow><mml:mrow><mml:msub><mml:mrow><mml:mi>d</mml:mi></mml:mrow><mml:mrow><mml:mn>50</mml:mn></mml:mrow></mml:msub></mml:mrow></mml:mfrac></mml:math></inline-formula>. Herein, we use <italic>d</italic><sub>50</sub> as the parameter that resumes the organism&#x00027;s dispersal ability. This dispersal ability emerges from the interaction between species traits and the resistance to dispersal imposed by the environment between ponds (e.g., predation risk, wind, temperature, and topography). In this sense, <italic>d</italic><sub>50</sub> is not only determined by geographic distance but also captures the species&#x00027; biology and environmental conditions. Then, a community-by-community migration matrix <italic>M</italic> was estimated by applying the exponential decay function to each element of the geographic distance matrix (<italic>D</italic>): <italic>M</italic> &#x0003D; <italic>m</italic>.<italic>max</italic> &#x02217; <italic>e</italic><sup>&#x02212;<italic>b</italic>&#x0002A;<italic>D</italic></sup>. The element <italic>m</italic><sub><italic>ij</italic></sub> of this matrix indicates the dispersal rate from community <italic>i</italic> to community <italic>j</italic>. Finally, each column of matrix <italic>M</italic> plus migration from the species pool, <italic>m</italic>.<italic>pool</italic>, represents the set of parameters that determine the total source of individuals to recruitment at each community, i.e., the potential incoming migration rate. These parameters are translated to probabilities standardizing in each column by the sum of its elements plus <italic>m</italic>.<italic>pool</italic>&#x02013;i.e., <inline-formula><mml:math id="M8"><mml:msub><mml:mrow><mml:mi>m</mml:mi></mml:mrow><mml:mrow><mml:mi>i</mml:mi><mml:mi>j</mml:mi></mml:mrow></mml:msub><mml:mtext>&#x000A0;</mml:mtext><mml:mi>s</mml:mi><mml:mi>t</mml:mi><mml:mi>a</mml:mi><mml:mi>n</mml:mi><mml:mi>d</mml:mi><mml:mi>a</mml:mi><mml:mi>r</mml:mi><mml:mi>d</mml:mi><mml:mi>i</mml:mi><mml:mi>z</mml:mi><mml:mi>e</mml:mi><mml:mi>d</mml:mi><mml:mtext>&#x000A0;</mml:mtext><mml:mo>=</mml:mo><mml:mtext>&#x000A0;</mml:mtext><mml:mfrac><mml:mrow><mml:msub><mml:mrow><mml:mi>m</mml:mi></mml:mrow><mml:mrow><mml:mi>i</mml:mi><mml:mi>j</mml:mi></mml:mrow></mml:msub></mml:mrow><mml:mrow><mml:mrow><mml:mo stretchy="false">(</mml:mo><mml:mrow><mml:msub><mml:mrow><mml:mi>m</mml:mi></mml:mrow><mml:mrow><mml:mi>p</mml:mi><mml:mi>o</mml:mi><mml:mi>o</mml:mi><mml:mi>l</mml:mi></mml:mrow></mml:msub><mml:mo>&#x0002B;</mml:mo><mml:msubsup><mml:mrow><mml:mo>&#x02211;</mml:mo></mml:mrow><mml:mrow><mml:mi>i</mml:mi><mml:mo>=</mml:mo><mml:mn>1</mml:mn></mml:mrow><mml:mrow><mml:mi>P</mml:mi></mml:mrow></mml:msubsup><mml:msub><mml:mrow><mml:mi>m</mml:mi></mml:mrow><mml:mrow><mml:mi>i</mml:mi><mml:mi>j</mml:mi></mml:mrow></mml:msub></mml:mrow><mml:mo stretchy="false">)</mml:mo></mml:mrow></mml:mrow></mml:mfrac></mml:math></inline-formula>. After this standardization, the sum of the non-diagonal elements of each column represents recruitment probability from other communities, <italic>m</italic>.<italic>neighbour</italic>, and diagonal elements represent self-recruitments, 1 &#x02212; (<italic>m</italic>.<italic>pool</italic> &#x0002B; &#x02211;<italic>m</italic>.<italic>neighbour</italic>). After standardization, even dispersal rates of 1 (e.g., when zero distance between ponds) do not imply that individuals have to arrive from this only source. It should be noted that in this and previous coalescent models, it is implicitly assumed that there are no biases to internal or external recruitment, more than those originated by the dispersal processes. In all simulations, <italic>m</italic>.<italic>pool</italic> &#x0003D; 0.01, a value that ensures a connection with a source of species but represents a system in which dispersal among local patches is the main source of recruitments (see also Worm and Tittensor, <xref ref-type="bibr" rid="B99">2018</xref>). The pool of species available to colonize a local community was then estimated as the matrix product of the metacommunity abundance matrix and the standardized migration matrix. For all simulations, the species pool was defined at 200 species with a log-normal abundance distribution.</p>
<fig id="F2" position="float">
<label>Figure 2</label>
<caption><p>Conceptual model illustration representing the two main steps of the coalescent model. Step 1: the model starts locating one individual randomly selected from the species pool in each community. Step 2: communities are filled with 100 individuals randomly selected from the (i) species pool, (ii) neighboring communities, or (iii) the same community with probabilities <italic>m</italic>.<italic>pool</italic> (&#x0003D; 0.01), <italic>m</italic>.<italic>neighbour</italic>, and 1 &#x02212; (<italic>m</italic>.<italic>pool</italic> &#x0002B; <italic>m</italic>.<italic>neighbour</italic>), respectively. Migration from neighboring communities is determined by geographic distance (<italic>d</italic><sub><italic>ij</italic></sub>) and species dispersal ability (<italic>d</italic><sub>50</sub>). Step 3: once all communities are filled, alpha and beta diversities are estimated.</p></caption>
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</fig></sec>
<sec>
<title>Pondscape, dispersal, and biodiversity</title>
<p>A total of two complementary analyses were considered here for each studied pondscape. First, we evaluated the interaction between the geographic isolation gradient and the dispersal ability gradient (represented in the parameter <italic>d</italic><sub>50</sub>; 50 values ranging from 10 to 3,000 meters) as determinants of local alpha and beta diversities. This dispersal ability gradient surpasses the range of dispersals reported for the species inhabiting these waterbodies (Borthagaray et al., <xref ref-type="bibr" rid="B13">2015a</xref>; Cunillera-Montcus et al., <xref ref-type="bibr" rid="B32">2021</xref>). To this aim, alpha and beta diversities were estimated from coalescent models for each community along the dispersal ability gradient of species (<italic>d</italic><sub>50</sub>). Alpha diversity was estimated as the number of species in the community. Beta diversity was estimated as the average of Jaccard dissimilarity between one community and all the other communities in the network. Note that each dispersal ability <italic>d</italic><sub>50</sub> defines one migration matrix <italic>M</italic>, and the pool of species available to colonize a local community in a pondscape. Complementary, the ratio between the alpha (beta) diversity value in the most central community (i.e., quantile 0.95 of the degree centrality distribution) and the alpha (beta) diversity value in the most peripheral community (i.e., quantile 0.05 of the degree centrality distribution) was estimated in the dispersal ability gradient (<italic>d</italic><sub>50</sub>) (hereafter, denoted as <italic>Ratio</italic><sub><italic>alpha</italic></sub> and <italic>Ratio</italic><sub><italic>beta</italic></sub>).</p>
<p>In the second approach, we built a null model to explore the importance of the spatial arrangement of waterbodies&#x02014;the real spatial location of ponds along the landscape&#x02014;for diversity patterns along the gradient of dispersal abilities (<italic>d</italic><sub>50</sub>). This null model preserves the total number of individuals and the number of communities in each metacommunity but randomizes their spatial location&#x02014;removing the spatial arrangement of waterbodies (see Fortuna et al., <xref ref-type="bibr" rid="B38">2006</xref>). The average of alpha and beta diversities predicted for the real pondscape (<inline-formula><mml:math id="M9"><mml:msub><mml:mrow><mml:mover accent="false" class="mml-overline"><mml:mrow><mml:mi>S</mml:mi></mml:mrow><mml:mo accent="true">&#x000AF;</mml:mo></mml:mover></mml:mrow><mml:mrow><mml:mi>o</mml:mi><mml:mi>b</mml:mi><mml:mi>s</mml:mi></mml:mrow></mml:msub></mml:math></inline-formula>) was estimated along the dispersal gradient (<italic>d</italic><sub>50</sub>). Then, this <inline-formula><mml:math id="M10"><mml:msub><mml:mrow><mml:mover accent="false" class="mml-overline"><mml:mrow><mml:mi>S</mml:mi></mml:mrow><mml:mo accent="true">&#x000AF;</mml:mo></mml:mover></mml:mrow><mml:mrow><mml:mi>o</mml:mi><mml:mi>b</mml:mi><mml:mi>s</mml:mi></mml:mrow></mml:msub></mml:math></inline-formula> is contrasted with the average diversity expected following the coalescent dynamic running on 200 randomizations of the spatial location of waterbodies (<inline-formula><mml:math id="M11"><mml:msub><mml:mrow><mml:mover accent="false" class="mml-overline"><mml:mrow><mml:mi>S</mml:mi></mml:mrow><mml:mo accent="true">&#x000AF;</mml:mo></mml:mover></mml:mrow><mml:mrow><mml:mi>n</mml:mi><mml:mi>u</mml:mi><mml:mi>l</mml:mi><mml:mi>l</mml:mi></mml:mrow></mml:msub></mml:math></inline-formula>). Then, a <italic>Z</italic> &#x02212; <italic>value</italic> for alpha and beta diversities was estimated as <inline-formula><mml:math id="M12"><mml:mi>Z</mml:mi><mml:mo>-</mml:mo><mml:mi>v</mml:mi><mml:mi>a</mml:mi><mml:mi>l</mml:mi><mml:mi>u</mml:mi><mml:mi>e</mml:mi><mml:mo>=</mml:mo><mml:mrow><mml:mo stretchy="false">(</mml:mo><mml:mrow><mml:mfrac><mml:mrow><mml:msub><mml:mrow><mml:mover accent="false" class="mml-overline"><mml:mrow><mml:mi>S</mml:mi></mml:mrow><mml:mo accent="true">&#x000AF;</mml:mo></mml:mover></mml:mrow><mml:mrow><mml:mi>o</mml:mi><mml:mi>b</mml:mi><mml:mi>s</mml:mi></mml:mrow></mml:msub><mml:mo>-</mml:mo><mml:msub><mml:mrow><mml:mover accent="false" class="mml-overline"><mml:mrow><mml:mi>S</mml:mi></mml:mrow><mml:mo accent="true">&#x000AF;</mml:mo></mml:mover></mml:mrow><mml:mrow><mml:mi>n</mml:mi><mml:mi>u</mml:mi><mml:mi>l</mml:mi><mml:mi>l</mml:mi></mml:mrow></mml:msub><mml:mo stretchy="false">)</mml:mo></mml:mrow><mml:mrow><mml:mtext>&#x000A0;</mml:mtext><mml:mi>S</mml:mi><mml:mi>D</mml:mi><mml:mrow><mml:mo stretchy="false">(</mml:mo><mml:mrow><mml:msub><mml:mrow><mml:mi>S</mml:mi></mml:mrow><mml:mrow><mml:mi>n</mml:mi><mml:mi>u</mml:mi><mml:mi>l</mml:mi><mml:mi>l</mml:mi></mml:mrow></mml:msub></mml:mrow><mml:mo stretchy="false">)</mml:mo></mml:mrow></mml:mrow></mml:mfrac></mml:mrow></mml:mrow></mml:math></inline-formula>, for each one of the dispersal abilities considered (<italic>d</italic><sub>50</sub>) (Gotelli and Graves, <xref ref-type="bibr" rid="B43">1996</xref>). This <italic>Z</italic> &#x02212; <italic>value</italic> represents the positive or negative effect of the pondscape on the average alpha and beta diversities. Complementary, the difference between the coefficient of variation of <italic>S</italic><sub><italic>obs</italic></sub> and the coefficient of variation of <italic>S</italic><sub><italic>null</italic></sub> was estimated along the dispersal gradient (<italic>d</italic><sub>50</sub>) for alpha and beta diversities. This difference reflects the heterogeneity in the local diversity among communities. Finally, we explored the association between pondscape features&#x02014;i.e., number of ponds, area, and diameter (see <xref ref-type="supplementary-material" rid="SM1">Supplementary Table S1</xref>)&#x02014;and the value of the dispersal ability (<italic>d</italic><sub>50</sub>) at which a maximum effect of the spatial arrangement of waterbodies (<italic>Z</italic> &#x02212; <italic>alpha</italic>, <italic>Z</italic> &#x02212; <italic>beta</italic>, <italic>Ratio</italic><sub><italic>alpha</italic></sub>, and <italic>Ratio</italic><sub><italic>beta</italic></sub>) was observed. Similarly, the relationship between pondscape features&#x02014;area, ponds mean distance, and ponds density&#x02014;and the magnitude of the effect of landscape arrangement on alpha and beta diversities was also explored.</p>
<p>Gamma diversity was not explicitly considered in the previous analysis. We explored the contribution of local communities to global diversity along the dispersal ability gradient (<italic>d</italic><sub>50</sub>). To this aim, we used the following equation: <inline-formula><mml:math id="M13"><mml:mi>&#x003B3;</mml:mi><mml:mo>=</mml:mo><mml:mover accent="false" class="mml-overline"><mml:mrow><mml:mi>&#x003B1;</mml:mi></mml:mrow><mml:mo accent="true">&#x000AF;</mml:mo></mml:mover><mml:mtext>&#x000A0;</mml:mtext><mml:mo>*</mml:mo><mml:mtext>&#x000A0;</mml:mtext><mml:mrow><mml:mo stretchy="false">(</mml:mo><mml:mrow><mml:mn>1</mml:mn><mml:mo>&#x0002B;</mml:mo><mml:mover accent="false" class="mml-overline"><mml:mrow><mml:mi>&#x003B2;</mml:mi></mml:mrow><mml:mo accent="true">&#x000AF;</mml:mo></mml:mover></mml:mrow><mml:mo stretchy="false">)</mml:mo></mml:mrow></mml:math></inline-formula>. We found that this contribution is determined by the trend in &#x003B1; (see <xref ref-type="supplementary-material" rid="SM2">Supplementary Figure S1</xref>). Consequently, we focus on alpha and beta diversities, while trends in gamma diversity emerge from trends in previous results. All simulations and analyses were performed using R software (R Development Core Team, <xref ref-type="bibr" rid="B78">2013</xref>), while data and codes to reproduce results are available in the online tutorial and the GitHub repository (<ext-link ext-link-type="uri" xlink:href="https://metacommunity-lab.github.io/FEE_Coal_Rand_Pondscape/">https://metacommunity-lab.github.io/FEE_Coal_Rand_Pondscape/</ext-link> and <ext-link ext-link-type="uri" xlink:href="https://github.com/matiasarim/Coalescent_Lottery_Metacommunity_model">https://github.com/matiasarim/Coalescent_Lottery_Metacommunity_model</ext-link>).</p></sec></sec>
<sec sec-type="results" id="s3">
<title>Results</title>
<p>All results highlighted the importance of the interaction between the spatial arrangement of communities and species dispersal abilities (<italic>d</italic><sub>50</sub>) as a determinant of metacommunity diversities (<xref ref-type="fig" rid="F3">Figure 3</xref>). As dispersal ability increased (<italic>d</italic><sub>50</sub>), local richness also increased, and communities were homogenized (i.e., beta diversity decreased). However, this interaction between biodiversity patterns and dispersal ability was markedly different among peripheral (low degree centrality) and central communities (high degree centrality) (<xref ref-type="fig" rid="F3">Figures 3A</xref>, <xref ref-type="fig" rid="F3">B</xref>). At low dispersal abilities (<italic>d</italic><sub>50</sub> &#x0003C; 100 meters, left side of the curves), communities were locally assembled from rare colonization events ending with low local richness (ranging from 1 to 15 species depending on the pondscape) and a large beta diversity among them (ranging from 1 to 0.8 Jaccard dissimilarity index depending on the pondscape). At intermediate dispersal levels, differences in alpha and beta diversities between peripheral and central communities became greater. Thus, it was at this level of dispersal that the effect of the spatial arrangement of communities on biodiversity patterns was evident. Central communities (continuous line in <xref ref-type="fig" rid="F3">Figures 3A</xref>, <xref ref-type="fig" rid="F3">B</xref>) presented greater alpha and lower beta diversities, whereas peripheral communities (dashed line in <xref ref-type="fig" rid="F3">Figures 3A</xref>, <xref ref-type="fig" rid="F3">B</xref>) had the opposite pattern (presenting differences of almost 20 species and from 0.3 to 0.5 Jaccard dissimilarity index among central and peripheral communities in most pondscapes). Finally, at high dispersal abilities (<italic>d</italic><sub>50</sub> &#x0003E; 1,000 meters, right side of the curves), the effect of the pondscape was lost, and communities were homogenized, presenting similar values of alpha and beta diversities in the geographic isolation gradient.</p>
<fig id="F3" position="float">
<label>Figure 3</label>
<caption><p>Interplay between the spatial arrangement of waterbodies and species dispersal ability as determinants of metacommunity biodiversity. Rows correspond to metacommunities of waterbodies. <bold>(A, B)</bold> Alpha and beta diversities along a dispersal ability gradient. Dispersal ability in x-axes is the distance at which dispersal falls to half of its maximum rate (<italic>d</italic><sub>50</sub>). The colors of points represent the isolation-centrality gradient (weighted degree centrality) of communities. A jitter was applied to better visualize the range of waterbody isolations. The black curves represent the set of more isolated (dashed) and central (continuous) communities in the pondscape. The inset figure is the ratio for alpha or beta diversity in the most peripheral vs. the most central community in the gradient of dispersal ability&#x02014;i.e., <italic>Ratio</italic><sub><italic>alpha</italic></sub> and <italic>Ratio</italic><sub><italic>beta</italic></sub>. <bold>(C, D)</bold> Importance of the spatial arrangement of ponds for alpha and beta diversities along the gradient of dispersal abilities. <italic>Z</italic> &#x02212; <italic>values</italic> correspond to standardized deviations of diversity predicted for the real pondscape structure (<inline-formula><mml:math id="M1"><mml:msub><mml:mrow><mml:mover accent="false" class="mml-overline"><mml:mrow><mml:mi>S</mml:mi></mml:mrow><mml:mo accent="true">&#x000AF;</mml:mo></mml:mover></mml:mrow><mml:mrow><mml:mi>o</mml:mi><mml:mi>b</mml:mi><mml:mi>s</mml:mi></mml:mrow></mml:msub></mml:math></inline-formula>) and the average diversity expected by the null model prediction when the location of communities was randomized (<inline-formula><mml:math id="M2"><mml:msub><mml:mrow><mml:mover accent="false" class="mml-overline"><mml:mrow><mml:mi>S</mml:mi></mml:mrow><mml:mo accent="true">&#x000AF;</mml:mo></mml:mover></mml:mrow><mml:mrow><mml:mi>n</mml:mi><mml:mi>u</mml:mi><mml:mi>l</mml:mi><mml:mi>l</mml:mi></mml:mrow></mml:msub></mml:math></inline-formula>): <inline-formula><mml:math id="M3"><mml:mi>Z</mml:mi><mml:mo>-</mml:mo><mml:mi>v</mml:mi><mml:mi>a</mml:mi><mml:mi>l</mml:mi><mml:mi>u</mml:mi><mml:mi>e</mml:mi><mml:mo>=</mml:mo><mml:mrow><mml:mo stretchy="false">(</mml:mo><mml:mrow><mml:mfrac><mml:mrow><mml:msub><mml:mrow><mml:mover accent="false" class="mml-overline"><mml:mrow><mml:mi>S</mml:mi></mml:mrow><mml:mo accent="true">&#x000AF;</mml:mo></mml:mover></mml:mrow><mml:mrow><mml:mi>o</mml:mi><mml:mi>b</mml:mi><mml:mi>s</mml:mi></mml:mrow></mml:msub><mml:mo>-</mml:mo><mml:msub><mml:mrow><mml:mover accent="false" class="mml-overline"><mml:mrow><mml:mi>S</mml:mi></mml:mrow><mml:mo accent="true">&#x000AF;</mml:mo></mml:mover></mml:mrow><mml:mrow><mml:mi>n</mml:mi><mml:mi>u</mml:mi><mml:mi>l</mml:mi><mml:mi>l</mml:mi></mml:mrow></mml:msub><mml:mo stretchy="false">)</mml:mo></mml:mrow><mml:mrow><mml:mi>S</mml:mi><mml:mi>D</mml:mi><mml:mrow><mml:mo stretchy="false">(</mml:mo><mml:mrow><mml:msub><mml:mrow><mml:mover accent="false" class="mml-overline"><mml:mrow><mml:mi>S</mml:mi></mml:mrow><mml:mo accent="true">&#x000AF;</mml:mo></mml:mover></mml:mrow><mml:mrow><mml:mi>n</mml:mi><mml:mi>u</mml:mi><mml:mi>l</mml:mi><mml:mi>l</mml:mi></mml:mrow></mml:msub></mml:mrow><mml:mo stretchy="false">)</mml:mo></mml:mrow></mml:mrow></mml:mfrac></mml:mrow></mml:mrow></mml:math></inline-formula>, for each dispersal ability (<italic>d</italic><sub>50</sub>).</p></caption>
<graphic mimetype="image" mime-subtype="tiff" xlink:href="fevo-11-1125607-g0003.tif"/>
</fig>
<p>Randomized landscapes in the null model significantly reduced the heterogeneity in the geographic isolation of waterbodies (<xref ref-type="supplementary-material" rid="SM3">Supplementary Figure S2</xref>). The comparison of alpha and beta diversities between real pondscapes vs. randomized pondscapes (<italic>Z</italic> &#x02212; <italic>value</italic> in <xref ref-type="fig" rid="F3">Figures 3C</xref>, <xref ref-type="fig" rid="F3">D</xref>) also indicated a strong effect of the spatial arrangement of communities at intermediate dispersal abilities. At very low dispersal abilities (<italic>d</italic><sub>50</sub> &#x0003C; 50 meters), pondscape did not affect biodiversity patterns (<italic>Z</italic> &#x02212; <italic>value</italic> for alpha and beta diversities closer to zero; <xref ref-type="fig" rid="F3">Figures 3C</xref>, <xref ref-type="fig" rid="F3">D</xref>, respectively). At intermediate dispersal levels, large differences with null model expectations were observed (<xref ref-type="fig" rid="F3">Figures 3C</xref>, <xref ref-type="fig" rid="F3">D</xref>). A randomized pondscape supported between 15 to 30 fewer species on average by the community than the real pondscape (see <xref ref-type="fig" rid="F3">Figures 3A</xref>, <xref ref-type="fig" rid="F3">B</xref>). Finally, at high dispersal rates (usually when <italic>d</italic><sub>50</sub> is close to 1,000 meters), the landscape loses its relevance, and the differences between the real pondscapes and the randomized ones become smaller (<italic>Z</italic> &#x02212; <italic>value</italic> closer to 0). These trends were related to the heterogeneity in local alpha and beta diversities among communities, where the coefficient of variation for local diversity among communities was larger in real than randomized landscapes (see <xref ref-type="supplementary-material" rid="SM4">Supplementary Figure S3</xref>). Again, this was true for those organisms with relative intermediate dispersal abilities. Notably, null model simulations were reported for dispersal distances up to 2,000 meters for reducing computation time considering that from this distance, observations were not different from expectations.</p>
<p>Overall, the six pondscapes provided different estimations for alpha and beta diversities, but all shared similar relationships between diversity patterns and the interplay between species dispersal ability (<italic>d</italic><sub>50</sub>) and the geographic isolation of communities. Indeed, organisms with intermediate dispersal ability are the ones strongly affected by the spatial arrangement of waterbodies (<xref ref-type="fig" rid="F3">Figure 3</xref>). On the other hand, there were also differential patterns across pondscapes likely associated with the whole size of the systems, i.e., the number of waterbodies or total area (see <xref ref-type="fig" rid="F4">Figure 4</xref>, <xref ref-type="supplementary-material" rid="SM5">Supplementary Figures S4</xref>, <xref ref-type="supplementary-material" rid="SM6">S5</xref>). First, the magnitude of the effect of the spatial arrangement of communities on local diversity ranged from 10 times more richness in central than peripheral communities in Albera (560 km<sup>2</sup>) to a maximum of three times increase in richness in Guils (15 km<sup>2</sup>) or Rocha (2 km<sup>2</sup>) (<xref ref-type="fig" rid="F3">Figure 3A</xref>; <italic>Ratio</italic><sub><italic>alpha</italic></sub>). Similarly, beta diversity was reduced to half in the central communities of Albera and to 70% in other metacommunities (<xref ref-type="fig" rid="F3">Figure 3B</xref>; <italic>Ratio</italic><sub><italic>beta</italic></sub>). Furthermore, the dispersal ability values for which the spatial arrangement of communities has a maximum effect also differed among pondscapes, according to their total areas (<xref ref-type="fig" rid="F4">Figure 4</xref> and <xref ref-type="supplementary-material" rid="SM5">Supplementary Figures S4</xref>, <xref ref-type="supplementary-material" rid="SM6">S5</xref>). In Albera, the species that are experiencing the greater effect of waterbody location are those with an average dispersal ability of approximately 170 meters, whereas, in other small systems (e.g., Guils or Rocha), the pondscape effect is more important at lower dispersal abilities (50 m). Indeed, despite the low statistical power, a significant association between the dispersal abilities (<italic>d</italic><sub>50</sub>) more affected by the landscape and system size (area) was detected (<xref ref-type="fig" rid="F4">Figure 4</xref>, <xref ref-type="supplementary-material" rid="SM5">Supplementary Figures S4</xref>, <xref ref-type="supplementary-material" rid="SM6">S5</xref>). Second, it should also be noted that null model comparisons also detected differences in dispersal values (<italic>d</italic><sub>50</sub>) for which the real spatial arrangement of ponds was an important determinant of community diversity (<xref ref-type="fig" rid="F3">Figures 3C</xref>, <xref ref-type="fig" rid="F3">D</xref>). When comparing diversity estimated on real pondscapes with the null model expectations (randomized pondscapes), a variation across pondscapes ranging from <italic>Z</italic> &#x02212; <italic>value</italic> &#x0003D; 50 to 9 and <italic>Z</italic> &#x02212; <italic>value</italic> &#x0003D; &#x02212;15 to &#x02212;30 for alpha and beta diversities, respectively, were detected. Indeed, the effect of the spatial arrangement of patches in metacommunity diversity increased with the size of the study system (<xref ref-type="fig" rid="F4">Figure 4</xref>, <xref ref-type="supplementary-material" rid="SM5">Supplementary Figure S4</xref>). Finally, all results in alpha and beta diversities presented opposite patterns but were not symmetric in their significance, the magnitude of effects, or dispersal ability values at which the larger effect of the landscape on biodiversity was observed.</p>
<fig id="F4" position="float">
<label>Figure 4</label>
<caption><p>Effect of pondscape spatial extent (total area) on the interplay between the diversity of local communities, species dispersal ability (<italic>d</italic><sub>50</sub>), and patch geographic isolation among the six metacommunities considered. <bold>(A, B)</bold> Relationship between the dispersal distance at which the <italic>maximum Ratio</italic><sub><italic>alpha</italic></sub> (<italic>minimum Ratio</italic><sub><italic>beta</italic></sub>) occurs and the area of the pondscape. <bold>(C, D)</bold> Relationship between the dispersal distance at which the <italic>maximum Z</italic> &#x02212; <italic>alpha</italic> (<italic>minimum Z</italic> &#x02212; <italic>beta</italic>) occurs and the area of the pondscape. Relationship between the dispersal distance (<italic>d</italic><sub>50</sub>) at which the maximum effect of the spatial arrangement of waterbodies on <italic>Ratio</italic><sub><italic>alpha</italic></sub> and <italic>Ratio</italic><sub><italic>beta</italic></sub> and the area of pondscapes.</p></caption>
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</fig></sec>
<sec sec-type="discussion" id="s4">
<title>Discussion</title>
<p>The metacommunity theory has consolidated a central role in ecology (Leibold and Chase, <xref ref-type="bibr" rid="B59">2018</xref>; Chase et al., <xref ref-type="bibr" rid="B28">2020</xref>; Record et al., <xref ref-type="bibr" rid="B79">2021</xref>; Cathey and Brown, <xref ref-type="bibr" rid="B26">2022</xref>). Landscape, and particularly, the difference in the relative geographic isolation of communities, is progressively suggested as a determinant of community assembly. Despite this, there are main features of the interplay between metacommunity processes and real landscape structure that are not clearly understood (Suzuki and Economo, <xref ref-type="bibr" rid="B87">2021</xref>). Here, it is shown that those metacommunity processes that determine diversity are strongly enhanced in real landscapes by features seldom considered in theoretical or empirical approaches, that is, the existence of large heterogeneity in the geographic isolation of local patches. Congruently, with previous results, in a dispersal gradient, mass effects systematically increase the local richness and decrease beta diversity (Loreau and Mouquet, <xref ref-type="bibr" rid="B62">1999</xref>; Mouquet and Loreau, <xref ref-type="bibr" rid="B68">2002</xref>; Loreau, <xref ref-type="bibr" rid="B61">2010</xref>; Borthagaray et al., <xref ref-type="bibr" rid="B16">2015b</xref>) (<xref ref-type="fig" rid="F3">Figure 3</xref>). However, the spatial arrangement of patches only has a large importance in metacommunity processes at intermediate dispersal levels. Consequently, landscape determines biodiversity patterns through those organisms with dispersal abilities that ensure access to central locations but limits dispersal in isolated communities. This study used a theoretical approach based on the real spatial arrangement of the pondscapes for advancing the role of landscape structure on metacommunity diversity.</p>
<p>Congruently with previous studies, we observed a monotonic increase in alpha diversity and a concomitant decrease in beta diversity from geographically isolated to central communities and from lower to larger dispersal abilities (see also Loreau and Mouquet, <xref ref-type="bibr" rid="B62">1999</xref>; Economo and Keitt, <xref ref-type="bibr" rid="B36">2010</xref>; Borthagaray et al., <xref ref-type="bibr" rid="B16">2015b</xref>). In the gradient of dispersal abilities, low dispersal levels consistently involved low richness among all communities. Communities also presented a high beta diversity because of random variation in species dominance among communities, e.g., great priority effect (Fukami, <xref ref-type="bibr" rid="B39">2015</xref>). The opposite is true at high dispersal abilities, being consistently high among all communities with a concomitant decrease in beta diversity (see also Loreau and Mouquet, <xref ref-type="bibr" rid="B62">1999</xref>; Borthagaray et al., <xref ref-type="bibr" rid="B16">2015b</xref>). As expected, the metacommunity phenomenon emerges as a determinant of biodiversity patterns at intermediate dispersal levels (Loreau, <xref ref-type="bibr" rid="B61">2010</xref>; Leibold and Chase, <xref ref-type="bibr" rid="B59">2018</xref>). However, it is also in this scenario when the spatial location of communities in the landscape really plays a key role in the metacommunity assembly. The geographic isolation gradient of the pondscape becomes an important determinant of diversity patterns for those species with the proper dispersal ability to be affected by the isolation differences among communities (Urban and Keitt, <xref ref-type="bibr" rid="B92">2001</xref>; Economo and Keitt, <xref ref-type="bibr" rid="B36">2010</xref>). Then, central ponds host a high diversity, enhanced by dispersal from neighboring communities, while peripheral ponds present few species, following beta diversity in the opposite trend. Indeed, the null model indicates that metacommunities having the same total area, number of local communities, productivity, or heterogeneity, but lacking a spatial arrangement covering a large isolation gradient may be prone to harboring lower diversity levels (Grilli et al., <xref ref-type="bibr" rid="B45">2015</xref>; Haddad et al., <xref ref-type="bibr" rid="B47">2017b</xref>; Chase et al., <xref ref-type="bibr" rid="B28">2020</xref>). These results agree with empirical observations reported for the metacommunities herein considered and also for other systems (e.g., Vanschoenwinkel et al., <xref ref-type="bibr" rid="B94">2008</xref>; Waterkeyn et al., <xref ref-type="bibr" rid="B97">2011</xref>; Borthagaray et al., <xref ref-type="bibr" rid="B13">2015a</xref>, <xref ref-type="bibr" rid="B15">2020</xref>; O&#x00027;Neill, <xref ref-type="bibr" rid="B74">2016</xref>; Bellin et al., <xref ref-type="bibr" rid="B9">2020</xref>). In this scenario, central communities provide a large set of species for recruitment elsewhere, while rare species persist in isolated communities (Scheffer et al., <xref ref-type="bibr" rid="B86">2006</xref>; Chase and Shulman, <xref ref-type="bibr" rid="B29">2009</xref>; Brown and Swan, <xref ref-type="bibr" rid="B18">2010</xref>; Chase et al., <xref ref-type="bibr" rid="B27">2010</xref>). Our findings further suggest that this phenomenon is fostered by the total area covered by the metacommunity and the number of local communities involved. In real landscapes, with the increase in the metacommunity size, the environmental heterogeneity and the number of organisms in the species pool might also increase, further promoting the action of the ecological and evolutionary processes to enhance diversity (McManus et al., <xref ref-type="bibr" rid="B66">2021</xref>). These considerations and the detection of significant effects of the metacommunity size, in spite of the low statistical power, point to a large ecological phenomenon that has to be further considered elsewhere.</p>
<p>This study used a theoretical approach based on the real spatial arrangement of the pondscapes for advancing the role of landscape structure on metacommunity diversity. Our results evidenced the importance of real landscape in a strength and features that may not be evident when mean field models or artificial landscapes are considered, e.g., random fields (Borthagaray et al., <xref ref-type="bibr" rid="B12">2014</xref>; Grilli et al., <xref ref-type="bibr" rid="B45">2015</xref>), random graphs (McManus et al., <xref ref-type="bibr" rid="B66">2021</xref>), tree graphs, chains, or grids (Economo and Keitt, <xref ref-type="bibr" rid="B35">2008</xref>, <xref ref-type="bibr" rid="B36">2010</xref>; Suzuki and Economo, <xref ref-type="bibr" rid="B87">2021</xref>). The randomized landscape that hosted lower diversities removed most features of the spatial arrangement of communities as spatial modularity, clustering, the maximum distance between communities, etc. Features that were related elsewhere to metacommunity diversity patterns (Economo, <xref ref-type="bibr" rid="B34">2011</xref>; Mougi and Kondoh, <xref ref-type="bibr" rid="B67">2016</xref>; Suzuki and Economo, <xref ref-type="bibr" rid="B87">2021</xref>). However, here we highlight the role of the spatial isolation gradient. Firstly, because the interaction between the geographic isolation and the species dispersal herein reported (<xref ref-type="fig" rid="F3">Figures 3A</xref>, <xref ref-type="fig" rid="F3">B</xref>). Secondly, a large reduction in the range of relative isolations is observed after landscape randomization (<xref ref-type="supplementary-material" rid="SM3">Supplementary Figure S2</xref>). Finally, because this isolation gradient is associated with most other features of landscapes, such as clustering and modularity.</p>
<p>Our use of neutral species pools and the spatial location of patches but not local conditions&#x02014;area, nutrients, or heterogeneity&#x02014;evidently left significant biological and environmental factors out of the analysis. However, it has been noted that this approach was fruitful in capturing the single effect of the spatial arrangement of the landscape on biodiversity patterns in several systems (Hubbell, <xref ref-type="bibr" rid="B55">2001</xref>; Economo and Keitt, <xref ref-type="bibr" rid="B35">2008</xref>, <xref ref-type="bibr" rid="B36">2010</xref>; Muneepeerakul et al., <xref ref-type="bibr" rid="B70">2008</xref>; Rosindell et al., <xref ref-type="bibr" rid="B82">2011</xref>; Carrara et al., <xref ref-type="bibr" rid="B23">2012</xref>; Borthagaray et al., <xref ref-type="bibr" rid="B12">2014</xref>, <xref ref-type="bibr" rid="B14">2023</xref>; Cunillera-Montcus et al., <xref ref-type="bibr" rid="B32">2021</xref>). Differences in biology and local conditions may affect the dispersal abilities at which this phenomenon is important or its strength. However, the general biological messages reported here are robust to these deviations. However, the geographic isolation gradient is probably a main determinant of biodiversity patterns, and its effect peaks at intermediate dispersal levels, being dismissible in species with relatively low or high dispersal ability. Despite this being an intuitive expectation, it represents a metacommunity phenomenon that was seldom considered in theoretical models&#x02014;both spatially explicit or implicit (Loreau, <xref ref-type="bibr" rid="B61">2010</xref>; Leibold and Chase, <xref ref-type="bibr" rid="B59">2018</xref>)&#x02014;and in empirical studies&#x02014;both in experiments (Grainger and Gilbert, <xref ref-type="bibr" rid="B44">2016</xref>) or field surveys (Borthagaray et al., <xref ref-type="bibr" rid="B15">2020</xref>). Notably, metapopulation models also identified the heterogeneity in the geographic isolation of patches as a determinant of species persistence (Gilarranz and Bascompte, <xref ref-type="bibr" rid="B41">2012</xref>; Grilli et al., <xref ref-type="bibr" rid="B45">2015</xref>).</p>
<p>The expectation of greater importance of metacommunity processes at intermediate dispersal levels is a cornerstone in the metacommunity theory (Hanski, <xref ref-type="bibr" rid="B48">1999</xref>; Loreau, <xref ref-type="bibr" rid="B61">2010</xref>; Leibold and Chase, <xref ref-type="bibr" rid="B59">2018</xref>). The importance of the isolation gradient on biodiversity patterns has also been acknowledged in theoretical (Economo and Keitt, <xref ref-type="bibr" rid="B36">2010</xref>; Thompson et al., <xref ref-type="bibr" rid="B89">2017</xref>) and empirical studies (Chase and Shulman, <xref ref-type="bibr" rid="B29">2009</xref>; Horv&#x000E1;th et al., <xref ref-type="bibr" rid="B54">2019</xref>; Borthagaray et al., <xref ref-type="bibr" rid="B15">2020</xref>; Cunillera-Montcus et al., <xref ref-type="bibr" rid="B31">2020a</xref>). Despite this, little attention was devoted to the conditions that foster or constrain the effect of the isolation gradient on community structure. The results, presented herein, also have impacts on management and conservation strategies (Brooker et al., <xref ref-type="bibr" rid="B17">1999</xref>; Barnett and Belote, <xref ref-type="bibr" rid="B7">2021</xref>). On the one hand, the importance of preserving the spatial arrangement of patches and not only an amount of habitat is herein supported (see also Brooker et al., <xref ref-type="bibr" rid="B17">1999</xref>; Haddad et al., <xref ref-type="bibr" rid="B46">2017a</xref>; Suzuki and Economo, <xref ref-type="bibr" rid="B87">2021</xref>). Considering the change in the landscape may help us to better understand the determinants of biodiversity response to habitat degradation (Horv&#x000E1;th et al., <xref ref-type="bibr" rid="B54">2019</xref>; Cunillera-Montcus et al., <xref ref-type="bibr" rid="B32">2021</xref>). On the other hand, combining empirical information about landscape structure and species dispersal abilities with theoretical simulations may represent a straightforward approach to guiding management decisions (Brooker et al., <xref ref-type="bibr" rid="B17">1999</xref>; Haddad et al., <xref ref-type="bibr" rid="B47">2017b</xref>; Resasco et al., <xref ref-type="bibr" rid="B80">2017</xref>). Landscapes in general, and particularly pondscapes, are in a threatening scenario due to global change and human activities (Wood et al., <xref ref-type="bibr" rid="B98">2003</xref>; Calhoun et al., <xref ref-type="bibr" rid="B21">2017</xref>; Hill et al., <xref ref-type="bibr" rid="B52">2021</xref>). The present contribution attempts to advance those landscape features that may support biodiversity and should be explicitly considered both for understanding the ecological mechanisms and preserving biodiversity.</p></sec>
<sec sec-type="data-availability" id="s5">
<title>Data availability statement</title>
<p>The original contributions presented in the study are included in the article/<xref ref-type="supplementary-material" rid="SM1">Supplementary material</xref>, further inquiries can be directed to the corresponding author.</p></sec>
<sec sec-type="author-contributions" id="s6">
<title>Author contributions</title>
<p>MA, AB, and DC-M lead the conception of the study. MA led the metacommunity model development. AB and DC-M contributed to the metacommunity model development and organized the database. MA, AB, and DC-M wrote the first draft of the manuscript and performed simulations and statistical analysis. AB, DC-M, IT, DB, MA-P, EO, XQ, SG, and MA contributed to the database. AB, DC-M, JB, IT, DB, MA-P, EO, TM XQ, SG, and MA contributed to the manuscript revision, read, and approved the submitted version. All authors contributed to the article and approved the submitted version.</p></sec>
</body>
<back>
<sec sec-type="funding-information" id="s7">
<title>Funding</title>
<p>This study was funded by the H2020 EU-funded project PONDERFUL (869296), CSIC I&#x0002B;D 2020 and CSIC groups (ID 657725) UDELAR, and FCE_1_2021_1_167009. DC-M was supported by the European Union&#x02014;NextGenerationEU, Ministry of Universities and Recovery, Transformation and Resilience Plan, through a call from Universitat de Girona. Financial support was also provided by a grant PID2020-114440GB-I00 funded by MCIN/AEI/ 10.13039/501100011033.</p>
</sec>
<ack><p>MA and AB are grateful for the support provided by CSIC groups (ID 657725), CSIC I&#x0002B;D 2020, and FCE_1_2021_1_167009.</p>
</ack>
<sec sec-type="COI-statement" id="conf1">
<title>Conflict of interest</title>
<p>The authors declare that the research was conducted in the absence of any commercial or financial relationships that could be construed as a potential conflict of interest.</p>
</sec>
<sec sec-type="disclaimer" id="s8">
<title>Publisher&#x00027;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>
<sec sec-type="supplementary-material" id="s9">
<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.2023.1125607/full#supplementary-material">https://www.frontiersin.org/articles/10.3389/fevo.2023.1125607/full#supplementary-material</ext-link></p>
<supplementary-material xlink:href="Data_Sheet_1.PDF" id="SM1" mimetype="application/pdf" xmlns:xlink="http://www.w3.org/1999/xlink">
<label>Supplementary Table S1</label>
<caption><p>General characteristics of the six metacommunities studied: Number of waterbodies, Area, Density as the number of waterbodies/area, Degree range is the 0.05 and 0.95 quantiles of the weighted degree distribution, Different degree range is the difference between <italic>Q</italic><sub>0.95</sub>&#x02212;<italic>Q</italic><sub>0.05</sub>, Mean distance is the average distance among all ponds in the network, Diameter is the longest of the geodesic distances among all pairs of ponds, and Species richness is the total number of animals in the metacommunity.<sup>&#x0002A;</sup>Corresponds to the species richness of plants.</p></caption> </supplementary-material>
<supplementary-material xlink:href="Image_1.JPEG" id="SM2" mimetype="image/jpeg" xmlns:xlink="http://www.w3.org/1999/xlink">
<label>Supplementary Figure S1</label>
<caption><p>Gamma diversity along a dispersal ability gradient for the six metacommunities studied. Dispersal ability in x-axes is the distance at which dispersal falls to half its maximum rate (d50). Gamma diversity is estimated as &#x003B3; &#x0003D; &#x003B1; &#x0002A; (1&#x0002B;&#x003B2;). Note that the trends in gamma diversity emerge from trends in previous results.</p></caption> </supplementary-material>
<supplementary-material xlink:href="Image_2.JPEG" id="SM3" mimetype="image/jpeg" xmlns:xlink="http://www.w3.org/1999/xlink">
<label>Supplementary Figure S2</label>
<caption><p>Frequency distribution of the coefficient of variation in degree centrality estimated for 2,000 landscapes with the spatial distribution of ponds randomized. The vertical dashed line indicates the observed coefficient of variation in ponds degree centrality in the real landscape. Real degree centrality was always significantly larger than those observed in randomized landscapes.</p></caption> </supplementary-material>
<supplementary-material xlink:href="Image_3.JPEG" id="SM4" mimetype="image/jpeg" xmlns:xlink="http://www.w3.org/1999/xlink">
<label>Supplementary Figure S3</label>
<caption><p>Difference between the coefficient of variation of the diversity predicted for the real pondscape structure and the coefficient of variation of the diversity expected by the null model prediction when the spatial distribution of ponds was randomized. Dispersal ability in x-axes is the distance at which dispersal falls to half its maximum rate (<italic>d</italic><sub>50</sub>).</p></caption> </supplementary-material>
<supplementary-material xlink:href="Image_4.JPEG" id="SM5" mimetype="image/jpeg" xmlns:xlink="http://www.w3.org/1999/xlink">
<label>Supplementary Figure S4</label>
<caption><p>Effect of pondscape size (total area or the number of waterbodies) on the interplay between the diversity of local communities, species dispersal ability, and patch geographic isolation among the six metacommunities considered. First row, the relationship between the dispersal distance at which the <italic>maximum Ratio</italic><sub><italic>alpha</italic></sub> (<italic>minimum Ratio</italic><sub><italic>beta</italic></sub>) occurs and the area or the number of waterbodies of the pondscape. Second row, the relationship between the dispersal ability at which the <italic>maximum Z</italic> &#x02212; <italic>alpha</italic> (<italic>minimum Z</italic> &#x02212; <italic>beta</italic>) occurs and the area or the number of waterbodies of the pondscape. Note that area and the number of water bodies are highly correlated (<italic>r</italic> = 0.83).</p></caption> </supplementary-material>
<supplementary-material xlink:href="Image_5.JPEG" id="SM6" mimetype="image/jpeg" xmlns:xlink="http://www.w3.org/1999/xlink">
<label>Supplementary Figure S5</label>
<caption><p>Effect of pondscape size (total area or number of waterbodies) on the interplay between the diversity of local communities, species dispersal ability, and patch geographic isolation among the six metacommunities considered. First row, the relationship between the maximum value of <italic>Ratio</italic><sub><italic>alpha</italic></sub> (<italic>Ratio</italic><sub><italic>beta</italic></sub>) and the area or the number of waterbodies of the pondscape. Second row, the relationship between the maximum value of <italic>Z</italic> &#x02212; <italic>alpha</italic> (<italic>Z</italic> &#x02212; <italic>beta</italic>) and the area or the number of waterbodies of the pondscape. Note that area and the number of water bodies are highly correlated (<italic>r</italic> = 0.83).</p></caption> </supplementary-material></sec>
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