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<front>
<journal-meta>
<journal-id journal-id-type="publisher-id">Front. Microbiol.</journal-id>
<journal-title>Frontiers in Microbiology</journal-title>
<abbrev-journal-title abbrev-type="pubmed">Front. Microbiol.</abbrev-journal-title>
<issn pub-type="epub">1664-302X</issn>
<publisher>
<publisher-name>Frontiers Media S.A.</publisher-name>
</publisher>
</journal-meta>
<article-meta>
<article-id pub-id-type="doi">10.3389/fmicb.2023.1153952</article-id>
<article-categories>
<subj-group subj-group-type="heading">
<subject>Microbiology</subject>
<subj-group>
<subject>Original Research</subject>
</subj-group>
</subj-group>
</article-categories>
<title-group>
<article-title>Facilitative interaction networks in experimental microbial community dynamics</article-title>
</title-group>
<contrib-group>
<contrib contrib-type="author" corresp="yes">
<name>
<surname>Fujita</surname>
<given-names>Hiroaki</given-names>
</name>
<xref rid="aff1" ref-type="aff"><sup>1</sup></xref>
<xref rid="c001" ref-type="corresp"><sup>&#x002A;</sup></xref>
<uri xlink:href="https://loop.frontiersin.org/people/1431647/overview"/>
</contrib>
<contrib contrib-type="author">
<name>
<surname>Ushio</surname>
<given-names>Masayuki</given-names>
</name>
<xref rid="aff2" ref-type="aff"><sup>2</sup></xref>
<uri xlink:href="https://loop.frontiersin.org/people/211462/overview"/>
</contrib>
<contrib contrib-type="author">
<name>
<surname>Suzuki</surname>
<given-names>Kenta</given-names>
</name>
<xref rid="aff3" ref-type="aff"><sup>3</sup></xref>
</contrib>
<contrib contrib-type="author">
<name>
<surname>Abe</surname>
<given-names>Masato S.</given-names>
</name>
<xref rid="aff4" ref-type="aff"><sup>4</sup></xref>
<uri xlink:href="https://loop.frontiersin.org/people/1197817/overview"/>
</contrib>
<contrib contrib-type="author">
<name>
<surname>Yamamichi</surname>
<given-names>Masato</given-names>
</name>
<xref rid="aff5" ref-type="aff"><sup>5</sup></xref>
<xref rid="aff6" ref-type="aff"><sup>6</sup></xref>
<uri xlink:href="https://loop.frontiersin.org/people/983890/overview"/>
</contrib>
<contrib contrib-type="author">
<name>
<surname>Okazaki</surname>
<given-names>Yusuke</given-names>
</name>
<xref rid="aff7" ref-type="aff"><sup>7</sup></xref>
<uri xlink:href="https://loop.frontiersin.org/people/592104/overview"/>
</contrib>
<contrib contrib-type="author">
<name>
<surname>Canarini</surname>
<given-names>Alberto</given-names>
</name>
<xref rid="aff1" ref-type="aff"><sup>1</sup></xref>
<uri xlink:href="https://loop.frontiersin.org/people/608035/overview"/>
</contrib>
<contrib contrib-type="author">
<name>
<surname>Hayashi</surname>
<given-names>Ibuki</given-names>
</name>
<xref rid="aff1" ref-type="aff"><sup>1</sup></xref>
</contrib>
<contrib contrib-type="author">
<name>
<surname>Fukushima</surname>
<given-names>Keitaro</given-names>
</name>
<xref rid="aff8" ref-type="aff"><sup>8</sup></xref>
<uri xlink:href="https://loop.frontiersin.org/people/1066715/overview"/>
</contrib>
<contrib contrib-type="author">
<name>
<surname>Fukuda</surname>
<given-names>Shinji</given-names>
</name>
<xref rid="aff9" ref-type="aff"><sup>9</sup></xref>
<xref rid="aff10" ref-type="aff"><sup>10</sup></xref>
<xref rid="aff11" ref-type="aff"><sup>11</sup></xref>
<xref rid="aff12" ref-type="aff"><sup>12</sup></xref>
<uri xlink:href="https://loop.frontiersin.org/people/1330096/overview"/>
</contrib>
<contrib contrib-type="author">
<name>
<surname>Kiers</surname>
<given-names>E. Toby</given-names>
</name>
<xref rid="aff13" ref-type="aff"><sup>13</sup></xref>
<uri xlink:href="https://loop.frontiersin.org/people/41577/overview"/>
</contrib>
<contrib contrib-type="author" corresp="yes">
<name>
<surname>Toju</surname>
<given-names>Hirokazu</given-names>
</name>
<xref rid="aff1" ref-type="aff"><sup>1</sup></xref>
<xref rid="c002" ref-type="corresp"><sup>&#x002A;</sup></xref>
<uri xlink:href="https://loop.frontiersin.org/people/508555/overview"/>
</contrib>
</contrib-group>
<aff id="aff1"><sup>1</sup><institution>Center for Ecological Research, Kyoto University</institution>, <addr-line>Kyoto</addr-line>, <country>Japan</country></aff>
<aff id="aff2"><sup>2</sup><institution>Department of Ocean Science (OCES), The Hong Kong University of Science and Technology (HKUST)</institution>, <addr-line>Kowloon, Hong Kong SAR</addr-line>, <country>China</country></aff>
<aff id="aff3"><sup>3</sup><institution>Integrated Bioresource Information Division, BioResource Research Center, RIKEN</institution>, <addr-line>Tsukuba</addr-line>, <country>Japan</country></aff>
<aff id="aff4"><sup>4</sup><institution>Faculty of Culture and Information Science, Doshisha University</institution>, <addr-line>Kyoto</addr-line>, <country>Japan</country></aff>
<aff id="aff5"><sup>5</sup><institution>School of Biological Sciences, The University of Queensland</institution>, <addr-line>Brisbane, QLD</addr-line>, <country>Australia</country></aff>
<aff id="aff6"><sup>6</sup><institution>Department of International Health and Medical Anthropology, Institute of Tropical Medicine, Nagasaki University</institution>, <addr-line>Nagasaki</addr-line>, <country>Japan</country></aff>
<aff id="aff7"><sup>7</sup><institution>Institute for Chemical Research, Kyoto University</institution>, <addr-line>Kyoto</addr-line>, <country>Japan</country></aff>
<aff id="aff8"><sup>8</sup><institution>Faculty of Food and Agricultural Sciences, Fukushima University</institution>, <addr-line>Fukushima</addr-line>, <country>Japan</country></aff>
<aff id="aff9"><sup>9</sup><institution>Institute for Advanced Biosciences, Keio University</institution>, <addr-line>Tsuruoka</addr-line>, <country>Japan</country></aff>
<aff id="aff10"><sup>10</sup><institution>Gut Environmental Design Group, Kanagawa Institute of Industrial Science and Technology</institution>, <addr-line>Kawasaki</addr-line>, <country>Japan</country></aff>
<aff id="aff11"><sup>11</sup><institution>Transborder Medical Research Center, University of Tsukuba</institution>, <addr-line>Tsukuba</addr-line>, <country>Japan</country></aff>
<aff id="aff12"><sup>12</sup><institution>Laboratory for Regenerative Microbiology, Juntendo University Graduate School of Medicine</institution>, <addr-line>Tokyo</addr-line>, <country>Japan</country></aff>
<aff id="aff13"><sup>13</sup><institution>Amsterdam Institute for Life and Environment, Vrije Universiteit</institution>, <addr-line>Amsterdam</addr-line>, <country>Netherlands</country></aff>
<author-notes>
<fn id="fn0001" fn-type="edited-by"><p>Edited by: Babak Momeni, Boston College, United States</p></fn>
<fn id="fn0002" fn-type="edited-by"><p>Reviewed by: Pandeng Wang, Sun Yat-sen University, China; Erida Gjini, University of Lisbon, Portugal</p></fn>
<corresp id="c001">&#x002A;Correspondence: Hiroaki Fujita, <email>fujita.h@ecology.kyoto-u.ac.jp</email></corresp>
<corresp id="c002">Hirokazu Toju, <email>toju.hirokazu.4c@kyoto-u.ac.jp</email></corresp>
<fn id="fn0003" fn-type="other"><p>This article was submitted to Systems Microbiology, a section of the journal Frontiers in Microbiology</p></fn>
</author-notes>
<pub-date pub-type="epub">
<day>11</day>
<month>04</month>
<year>2023</year>
</pub-date>
<pub-date pub-type="collection">
<year>2023</year>
</pub-date>
<volume>14</volume>
<elocation-id>1153952</elocation-id>
<history>
<date date-type="received">
<day>30</day>
<month>01</month>
<year>2023</year>
</date>
<date date-type="accepted">
<day>09</day>
<month>03</month>
<year>2023</year>
</date>
</history>
<permissions>
<copyright-statement>Copyright &#x00A9; 2023 Fujita, Ushio, Suzuki, Abe, Yamamichi, Okazaki, Canarini, Hayashi, Fukushima, Fukuda, Kiers and Toju.</copyright-statement>
<copyright-year>2023</copyright-year>
<copyright-holder>Fujita, Ushio, Suzuki, Abe, Yamamichi, Okazaki, Canarini, Hayashi, Fukushima, Fukuda, Kiers and Toju</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>Facilitative interactions between microbial species are ubiquitous in various types of ecosystems on the Earth. Therefore, inferring how entangled webs of interspecific interactions shift through time in microbial ecosystems is an essential step for understanding ecological processes driving microbiome dynamics. By compiling shotgun metagenomic sequencing data of an experimental microbial community, we examined how the architectural features of facilitative interaction networks could change through time. A metabolic modeling approach for estimating dependence between microbial genomes (species) allowed us to infer the network structure of potential facilitative interactions at 13 time points through the 110-day monitoring of experimental microbiomes. We then found that positive feedback loops, which were theoretically predicted to promote cascade breakdown of ecological communities, existed within the inferred networks of metabolic interactions prior to the drastic community-compositional shift observed in the microbiome time-series. We further applied &#x201C;directed-graph&#x201D; analyses to pinpoint potential keystone species located at the &#x201C;upper stream&#x201D; positions of such feedback loops. These analyses on facilitative interactions will help us understand key mechanisms causing catastrophic shifts in microbial community structure.</p>
</abstract>
<kwd-group>
<kwd>community stability</kwd>
<kwd>dysbiosis</kwd>
<kwd>ecosystem functions</kwd>
<kwd>microbe-microbe interactions</kwd>
<kwd>metabolic modeling</kwd>
<kwd>microbial functions</kwd>
<kwd>mutualism</kwd>
<kwd>species interactions</kwd>
</kwd-group>
<counts>
<fig-count count="6"/>
<table-count count="0"/>
<equation-count count="0"/>
<ref-count count="74"/>
<page-count count="9"/>
<word-count count="6810"/>
</counts>
</article-meta>
</front>
<body>
<sec id="sec1" sec-type="intro">
<title>Introduction</title>
<p>In nature, species form complex webs of interactions, thereby driving various types of community-and ecosystem-level phenomena (<xref ref-type="bibr" rid="ref44">May, 1972</xref>; <xref ref-type="bibr" rid="ref29">Ives and Carpenter, 2007</xref>; <xref ref-type="bibr" rid="ref1">Allesina and Tang, 2012</xref>). Roles of interspecific interactions in sudden community structural shifts are among the most important targets of ecological research (<xref ref-type="bibr" rid="ref61">Scheffer et al., 2001</xref>; <xref ref-type="bibr" rid="ref60">Scheffer and Carpenter, 2003</xref>; <xref ref-type="bibr" rid="ref57">Ratzke et al., 2020</xref>). Theoretical studies have predicted that the architecture (topology) of interaction networks determines consequences of ecological interactions such as species coexistence or community collapse (<xref ref-type="bibr" rid="ref67">Th&#x00E9;bault and Fontaine, 2010</xref>; <xref ref-type="bibr" rid="ref59">Rohr et al., 2014</xref>; <xref ref-type="bibr" rid="ref38">Levine et al., 2017</xref>). Although a number of empirical studies on plants and animals have been conducted to uncover the characteristics of species interaction networks (<xref ref-type="bibr" rid="ref49">Olesen et al., 2007</xref>; <xref ref-type="bibr" rid="ref37">Lever et al., 2014</xref>; <xref ref-type="bibr" rid="ref8">CaraDonna and Waser, 2020</xref>), our knowledge of potential relationship between network architecture and community-level consequences have been limited for microbial ecosystems.</p>
<p>In microbial ecology, estimating the architecture of potential interactions has been increasingly common (<xref ref-type="bibr" rid="ref17">Faust and Raes, 2012</xref>; <xref ref-type="bibr" rid="ref21">Friedman and Alm, 2012</xref>; <xref ref-type="bibr" rid="ref6">Berry and Widder, 2014</xref>; <xref ref-type="bibr" rid="ref35">Kurtz et al., 2015</xref>). Amplicon sequencing (DNA metabarcoding) of prokaryote 16S rRNA gene, for example, have been frequently used to infer structure of networks depicting co-occurrence patterns of microbial species (<xref ref-type="bibr" rid="ref3">Barberan et al., 2012</xref>; <xref ref-type="bibr" rid="ref18">Faust et al., 2012</xref>; <xref ref-type="bibr" rid="ref6">Berry and Widder, 2014</xref>). Nonetheless, those networks obtained with co-occurrence pattern analyzes include pairs of species that merely share environmental preferences, making it difficult to investigate webs of direct facilitative/competitive interactions between species (<xref ref-type="bibr" rid="ref71">Warton et al., 2015</xref>; <xref ref-type="bibr" rid="ref68">Toju et al., 2017</xref>; <xref ref-type="bibr" rid="ref34">Kurtz et al., 2019</xref>; <xref ref-type="bibr" rid="ref7">Blanchet et al., 2020</xref>). Moreover, although studies on co-occurrence patterns assume bidirectional associations between species, interspecific interactions in nature are not necessarily bidirectional (<xref ref-type="bibr" rid="ref64">Sugihara et al., 2012</xref>; <xref ref-type="bibr" rid="ref70">Ushio et al., 2018</xref>; <xref ref-type="bibr" rid="ref15">Delmas et al., 2019</xref>). In other words, assuming mutually positive (mutualistic) interactions in all pairs of species within such co-occurrence networks (i.e., neglecting commensalistic or other types of interactions) may lead to misunderstanding of ecological community processes. Consequently, reconstructing networks consisting of not only bidirectional but also unidirectional interactions between species [i.e., &#x201C;directed graphs&#x201D; (<xref ref-type="bibr" rid="ref47">Newman, 2010</xref>)] is an essential step for advancing our understanding of microbial community processes.</p>
<p>A promising approach for investigating complex webs of microbial interactions is to estimate potential flows of metabolites between microbial species based on metagenomic datasets (<xref ref-type="bibr" rid="ref63">Stolyar et al., 2007</xref>; <xref ref-type="bibr" rid="ref32">Klitgord and Segr&#x00E8;, 2010</xref>; <xref ref-type="bibr" rid="ref74">Zomorrodi and Maranas, 2012</xref>; <xref ref-type="bibr" rid="ref39">Levy and Borenstein, 2013</xref>). Because species&#x2019; ability to metabolize given chemical compounds is encoded in their genomes, metabolic modeling has been applied to infer potential metabolic interactions between microbes (<xref ref-type="bibr" rid="ref73">Zelezniak et al., 2015</xref>; <xref ref-type="bibr" rid="ref41">Magn&#x00FA;sd&#x00F3;ttir et al., 2017</xref>). If genomic information is available for a pair of species, potential dependence of a species on the other species can be evaluated in terms of the list of metabolites presumably emitted by the other species (<xref ref-type="bibr" rid="ref73">Zelezniak et al., 2015</xref>; <xref ref-type="bibr" rid="ref41">Magn&#x00FA;sd&#x00F3;ttir et al., 2017</xref>). By applying such community-scale metabolic modeling (<xref ref-type="bibr" rid="ref22">Frioux et al., 2020</xref>), we will be able to gain insights into network architecture of facilitative interactions (<xref ref-type="bibr" rid="ref65">Sung et al., 2017</xref>; <xref ref-type="bibr" rid="ref28">Hassani et al., 2018</xref>; <xref ref-type="bibr" rid="ref27">Gralka et al., 2020</xref>). Analyzes on temporal shifts in such metabolic interaction network architecture, in particular, are expected to enhance our understanding of processes or mechanisms causing community collapse [or dysbiosis (<xref ref-type="bibr" rid="ref9">Carding et al., 2015</xref>; <xref ref-type="bibr" rid="ref33">Kriss et al., 2018</xref>)]. Nonetheless, there have been, to the best of our knowledge, no study reporting changes in facilitative interaction network architecture through microbial community dynamics.</p>
<p>In this study, we performed an analysis of metabolic interaction networks using the shotgun metagenomic sequencing dataset of an experimental bacterial community (<xref ref-type="bibr" rid="ref24">Fujita et al., 2022</xref>). Across the 110-day monitoring of a co-culture system of a freshwater bacterial community (<xref ref-type="bibr" rid="ref23">Fujita et al., 2023</xref>), the previous study examined temporal shifts in the level of ecological niche overlap between species in order to infer dynamics of competitive interactions (<xref ref-type="bibr" rid="ref24">Fujita et al., 2022</xref>). In this study, we reconstructed networks of facilitative interactions based on the metabolic modeling of shotgun metagenomic data at 13 time points across the time-series. We then evaluated changes in the architectural features of the directed graphs through the time-series. Specifically, we tested the hypothesis that positive feedback loops, which have been predicted to destabilize biological communities, existed prior to a sudden community-compositional shift observed in the microbiome experiment. In addition, we examined the presence of microbial species that could be located at the source or sink positions within the directed graphs of metabolic flows. Overall, the preliminary application of community-level metabolic modeling provides a platform for understanding relationship between dynamics of interaction network architecture and ecosystem-level consequences.</p>
</sec>
<sec id="sec2" sec-type="materials|methods">
<title>Materials and methods</title>
<sec id="sec3">
<title>Time-series data of the microbial experiment</title>
<p>We used the 110-day time-series dataset of the microbial community experiment described elsewhere (<xref ref-type="bibr" rid="ref24">Fujita et al., 2022</xref>, <xref ref-type="bibr" rid="ref23">2023</xref>). In the experiment, the source microbial community was sampled from a pond (&#x201C;Shoubuike&#x201D;) near Center for Ecological Research, Kyoto University, Otsu, Japan (34.974 &#x00B0;N, 135.966 &#x00B0;E). The source community was then introduced into the deep-well culture system of an oatmeal broth medium [0.5% (w/v) milled oatmeal (Nisshoku Oats; Nippon Food Manufacturer)] with eight replicates, kept at 23&#x00B0;C for 5&#x2009;days (<xref ref-type="bibr" rid="ref23">Fujita et al., 2023</xref>). After the five-day pre-incubation, 200&#x2009;&#x03BC;l out of 1,000-&#x03BC;L culture medium was sampled from each well of the deep-well plate after mixing (pipetting) every 24&#x2009;h for 110&#x2009;days. In each sampling event, 200&#x2009;&#x03BC;l of fresh medium was added to each well so that the total culture volume was kept constant. For the samples, amplicon sequencing of 16S rRNA was conducted as reported previously (<xref ref-type="bibr" rid="ref23">Fujita et al., 2023</xref>). Based on the amplicon sequencing of the community compositional dynamics, we selected the replicate community that showed the largest community compositional changes within the time-series (<xref ref-type="bibr" rid="ref24">Fujita et al., 2022</xref>): a rapid and substantial community compositional change occurred around Day 18 in the replicate community (<xref rid="fig1" ref-type="fig">Figure 1</xref>). The extracted DNA samples of the replicate community was subjected to a shotgun metagenomic sequencing analysis, which targeted 13 time points across the time-series (Day 1, 10, 20, 24, 30, 40, 50, 60, 70, 80, 90, 100, and 110; <italic>ca.</italic> 10 Gb per sample) (<xref ref-type="bibr" rid="ref24">Fujita et al., 2022</xref>). The analysis described below was performed by compiling the metagenomic sequencing data (<xref ref-type="bibr" rid="ref24">Fujita et al., 2022</xref>).</p>
<fig position="float" id="fig1">
<label>Figure 1</label>
<caption><p>Time-series data of the community structure. <bold>(A)</bold> Community structure inferred with amplicon sequencing. Through the 110-day experiment, community compositions were monitored based on 16S rRNA sequencing. To quantify the speed and magnitude of community shifts through time, the &#x201C;abruptness&#x201D; index was calculated through the time-series (blue line). Specifically, an estimate of the abruptness index for time point <italic>t</italic> was obtained as the Bray-Curtis <italic>&#x03B2;</italic>-diversity between average community compositions from time points <italic>t</italic> &#x2013; 4 to <italic>t</italic> and those from <italic>t</italic>&#x2009;+&#x2009;1 to <italic>t</italic>&#x2009;+&#x2009;5 (i.e., dissimilarity between 5-day time-windows). An abruptness score larger than 0.5 indicates that turnover of more than 50% of community compositions occurred between the time-windows. Reproduced from the amplicon sequencing data of a previous study on the microbiome system (<xref ref-type="bibr" rid="ref23">Fujita et al., 2023</xref>). <bold>(B)</bold> Community structure inferred with metagenomic sequencing. The 32 metagenome-assembled genomes (MAGs) detected in the shotgun metagenomic sequencing are shown.</p></caption>
<graphic xlink:href="fmicb-14-1153952-g001.tif"/>
</fig>
</sec>
<sec id="sec4">
<title>Shotgun metagenomic sequencing</title>
<p>The metagenomic sequencing data were processed as detailed previously (<xref ref-type="bibr" rid="ref24">Fujita et al., 2022</xref>). Briefly, after adaptor trimming with Cutadapt (<xref ref-type="bibr" rid="ref42">Martin, 2011</xref>) and quality filtering with Fastp0.21.0 (<xref ref-type="bibr" rid="ref11">Chen et al., 2018</xref>) [in total, the number of output sequencing reads was 1002.49&#x2009;M (160.08 Gb)], the sequences of each time-point sample were assembled using metaSPAdes 3.15.2 (<xref ref-type="bibr" rid="ref2">Bankevich et al., 2012</xref>). Binning and quality assessing, were then performed with MetaWRAP 1.3.2 (<xref ref-type="bibr" rid="ref69">Uritskiy et al., 2018</xref>) and CheckM 1.1.3 (<xref ref-type="bibr" rid="ref53">Parks et al., 2015</xref>), respectively. The identity between metagenome-assembled genomes (MAGs) were calculated with FastANI 1.33 (<xref ref-type="bibr" rid="ref30">Jain et al., 2018</xref>) and MAGs with &#x003E;99% identity were grouped through the time-series. The read-coverage calculation was then conducted using CoverM 0.6.0 (<xref ref-type="bibr" rid="ref72">Woodcroft, 2021</xref>). Taxonomic annotation and genome annotation were conducted, respectively, with GTDB-Tk 1.6 (<xref ref-type="bibr" rid="ref10">Chaumeil et al., 2020</xref>; <xref ref-type="bibr" rid="ref52">Parks et al., 2022</xref>) and Prokka 1.14.6 (<xref ref-type="bibr" rid="ref62">Seemann, 2014</xref>) 1.14.6. The MAGs with &#x003E;80% completeness and&#x2009;&#x003C;&#x2009;5% contamination were used in the analyzes below. The orthology numbers of Kyoto Encyclopedia of Genomes (KEGG) were retrieved for respective genes using GhostKOALA 2.2 (<xref ref-type="bibr" rid="ref31">Kanehisa et al., 2016</xref>) and the completeness of metabolic pathways was estimated for each MAG using KEGG decoder 1.3 (<xref ref-type="bibr" rid="ref26">Graham et al., 2018</xref>). In total, 32 MAGs belonging to 20 genera (16 families; 12 orders) were detected across the time-series (<xref rid="SM1" ref-type="supplementary-material">Supplementary Data 1</xref>; <xref ref-type="bibr" rid="ref24">Fujita et al., 2022</xref>).</p>
</sec>
<sec id="sec5">
<title>Metabolic modeling</title>
<p>To explore potential effects of facilitative interactions between microbes within the microbiome, we performed an analyzes of metabolite-exchange interaction networks based on the MAGs detailed above. For each MAG, we reconstructed a metabolic model based on the top-down carving approach of curated &#x201C;universal models&#x201D; (i.e., manually curated and simulation-ready metabolic models) (<xref ref-type="bibr" rid="ref40">Machado et al., 2018</xref>) using CarveMe 1.5.0 (<xref ref-type="bibr" rid="ref40">Machado et al., 2018</xref>). Potential metabolic interactions between microbial MAGs were then evaluated based on species coupling scores indicating dependency of target species in the presence of others as implemented in SMETANA 1.0.0 (<xref ref-type="bibr" rid="ref73">Zelezniak et al., 2015</xref>). In each direction in each pair of species (MAGs), this score can vary between 0 (complete independence) and 1 (essentiality) (<xref ref-type="bibr" rid="ref73">Zelezniak et al., 2015</xref>). In this approach, all potential exchanges of metabolites between species were mapped with the default parameters as implemented in SMETANA. To evaluate the reproducibility of the metabolic modeling, 10 SMETANA runs were performed with different random seed numbers.</p>
<p>To infer the community-scale magnitude of facilitative and competitive interactions, metabolic interaction potential and metabolic resource overlap scores were estimated, respectively, at each time point using SMETANA. The former was calculated as the difference between the minimal number of metabolites required for the growth of all species (MAGs) in a community without interspecific interactions and that with interactions (<xref ref-type="bibr" rid="ref73">Zelezniak et al., 2015</xref>). The later was estimated as the mean proportion of shared nutritional requirements (metabolites) in pairs of species (MAGs) within a community (<xref ref-type="bibr" rid="ref73">Zelezniak et al., 2015</xref>).</p>
</sec>
<sec id="sec6">
<title>Network analysis</title>
<p>The architecture of the inferred network was visualized for each time point (day) based on the &#x201C;backbone&#x201D; layout algorithm (<xref ref-type="bibr" rid="ref48">Nocaj et al., 2015</xref>) using R v.4.1.3 (<xref ref-type="bibr" rid="ref55">R Core Team, 2020</xref>). In each network, metabolic dependencies between pairs of species (i.e., species coupling score) were indicated as arrows (i.e., directed graphs). The metabolites behind the inferred species interactions were shown for each day in the form of heatmaps.</p>
<p>The inferred metabolic interaction network of each time point was then analyzed based on the treeness, feedforwardness, and orderability (<xref ref-type="bibr" rid="ref13">Corominas-Murtra et al., 2013</xref>). Treeness is a measure of pyramidal (top-down) network structure, in which small numbers of nodes at upper layers have outward links to many other nodes at lower layers. Feedforwardness is a measure of network-scale bias in the direction of links: a high feedforwardness value represents strong upstream-downstream structure within a network. Meanwhile, orderability represents the degree of the lack of feedback loops within directed graphs (networks). As the orderability index is defined as the proportion of nodes outside feedback network loops, it ranges from 0 (loop structure involving all nodes) to 1 (absence of loops).</p>
<p>To evaluate topological positions of respective microbial MAGs within the networks, influence centrality, which was a measure of the degree to which a focal node had influence on the others within a directed graph (<xref ref-type="bibr" rid="ref43">Masuda et al., 2009</xref>), was calculated. Likewise, PageRank centrality, which was a measure of the degree to which a focal node had links from other nodes with many inward links (<xref ref-type="bibr" rid="ref50">Page and Brin, 1998</xref>) was calculated as well using the igraph v.1.3.5 package of R. In R codes used for the calculation of influence, treeness, feedforwardness, and orderability are available from the GitHub repository<xref rid="fn0004" ref-type="fn"><sup>1</sup></xref>.</p>
</sec>
</sec>
<sec id="sec7" sec-type="results">
<title>Results</title>
<sec id="sec8">
<title>Dynamics of metabolic interaction networks</title>
<p>Microbial MAGs belonging to different taxa were linked with each other within the network of potential facilitative interactions (<xref rid="fig2" ref-type="fig">Figure 2</xref>; <xref rid="SM2" ref-type="supplementary-material">Supplementary Data 2</xref>&#x2013;<xref rid="SM3" ref-type="supplementary-material">3</xref>). In particular, microbes in the class Gammaproteobacteria were inferred to provide metabolites to microbes in other taxonomic groups. Likewise, <italic>Terracidiphilus</italic> bacteria (Acidobacteriae) had links of potential metabolite supply toward some bacteria belonging to Gammaproteobacteria and Alphaproteobacteria at some time points (<xref rid="fig2" ref-type="fig">Figure 2</xref>). The number of detectable nodes suddenly decreased between Days 20 and 30, entailing rapid decline of the inferred metabolic interaction networks (<xref rid="fig2" ref-type="fig">Figure 2</xref>). The microbial community then reached a quasi-stable state characterized by several bacteria in the genera <italic>Hydrotalea</italic>, <italic>Terracidiphilus</italic>, <italic>Mangrovibacter</italic>, and <italic>Rhizomicrobium</italic> (from Day 40 to Day 50; <xref rid="fig2" ref-type="fig">Figure 2</xref>). Among them, unidirectional facilitative effects from <italic>Mangrovibacter</italic> to other bacteria were inferred based on the metabolic modeling analysis (<xref rid="fig2" ref-type="fig">Figure 2</xref>). The number of detectable MAGs gradually increased from Day 60, resulting in the restoration of an entangled web of potential metabolic interactions on Day 110 (<xref rid="fig2" ref-type="fig">Figure 2</xref>).</p>
<fig position="float" id="fig2">
<label>Figure 2</label>
<caption><p>Inferred network of metabolic interactions between microbes. Based on the shotgun metagenomic sequencing data, genome-scale metabolic modeling was conducted at each of the target time point. The results were used to infer potential flows metabolites between microbial MAGs. Positive effects inferred by metabolic modeling are shown with arrows connecting donor and recipient microbial MAGs. Darker colors of arrows indicate higher species coupling scores inferred in the metabolic modeling analysis. Edges constituting feedback loops are highlighted in red within the networks. Results based on a random seed number are shown: see <xref rid="SM2" ref-type="supplementary-material">Supplementary Data 2</xref>&#x2013;<xref rid="SM3" ref-type="supplementary-material">3</xref> for the metabolic modeling results of all the 10 SMETANA runs.</p></caption>
<graphic xlink:href="fmicb-14-1153952-g002.tif"/>
</fig>
<p>The chemicals (metabolites) potentially flowing through the inferred networks are shown in <xref rid="fig3" ref-type="fig">Figure 3</xref>. Iron (Fe<sup>2+</sup> and Fe<sup>3+</sup>) and its siderophore (ferrypyoverdine) were among the chemicals most frequently flowing through the facilitative interaction networks. Copper, acetaldehyde, hydrogen sulfide, and phosphate were frequently reused within the networks (<xref rid="fig3" ref-type="fig">Figure 3</xref>). In the period in which the network structure was the simplest (Day 40 to 50; <xref rid="fig2" ref-type="fig">Figure 2</xref>), arginine and ethanol were provided from <italic>Mangrovibacter</italic> to other bacteria (<italic>Hydrotalea</italic>, <italic>Terracidiphilus</italic>, and <italic>Rhizomicrobium</italic>) within the microbiome (<xref rid="fig3" ref-type="fig">Figure 3B</xref>).</p>
<fig position="float" id="fig3">
<label>Figure 3</label>
<caption><p>Metabolites presumably flowing through the facilitative network. <bold>(A)</bold> Absolute frequencies of inferred metabolite transfer between MAGs. The number of MAG combinations in which each metabolite was inferred to be provided was counted. Mean values across the 10 SMETANA runs with different random seed numbers are shown. The top-25 chemicals (metabolites) with the highest frequencies are presented. <bold>(B)</bold> Standardized frequencies of inferred transfer between pairs of species. The values in the panel A are standardized so that the total equals 1 at each time point.</p></caption>
<graphic xlink:href="fmicb-14-1153952-g003.tif"/>
</fig>
<p>The treeness, feedforwardness, and orderability of the network of the potential metabolic interactions varied considerably across the time-series (<xref rid="fig4" ref-type="fig">Figure 4</xref>). Until Day 20, the network structure was characterized by low treeness, low feedforwardness, and low to moderate orderability (<xref rid="fig4" ref-type="fig">Figure 4B</xref>). The facilitative interaction network then showed drastic architectural shift until Day 40 as characterized by the rapid increase of orderability (<xref rid="fig4" ref-type="fig">Figure 4B</xref>). This result suggests that the dynamics of the network architecture are characterized by the presence of positive feedback loops (as represented by low orderability) early in the time-series and that such feedback loops collapsed in the microbial community by Day 40 (<xref rid="fig3" ref-type="fig">Figure 3</xref>). Through the gradual restoration of network complexity after Day 60, the presence of feedback loops was inferred again on Day 110 (<xref rid="fig3" ref-type="fig">Figure 3</xref>) as indicated by lowered network orderability estimate on the day (<xref rid="fig4" ref-type="fig">Figure 4</xref>).</p>
<fig position="float" id="fig4">
<label>Figure 4</label>
<caption><p>Network topology analysis. <bold>(A)</bold> Schema of network architectural properties. Treeness and feedforwardness represent pyramidal and upstream-downstream structures of directed graphs, respectively. Orderability represents lack of feedback loops within a network. Along the axis of orderability, the nodes and links included in feedback loops are highlighted in red. <bold>(B)</bold> Dynamics of network characteristics. Changes in network architectural properties are shown in terms of treeness, feedforwardness, and orderability. Networks with low &#x201C;orderability,&#x201D; by definition, contain loops of flow of metabolites, while those with maximum orderability (= 1) lack feedback loops. Mean and standard deviation across the 10 SMETANA runs with different random seed numbers are shown with diamonds and bars, respectively. The grey line represents the magnitude of community compositional changes shown in <xref rid="fig1" ref-type="fig">Figure 1A</xref>.</p></caption>
<graphic xlink:href="fmicb-14-1153952-g004.tif"/>
</fig>
</sec>
<sec id="sec9">
<title>Potential keystone species</title>
<p>Within the metabolic interaction networks (<xref rid="fig2" ref-type="fig">Figure 2</xref>), some microbial MAGs belonging to the class Gammaproteobacteria were located at the &#x201C;upper stream&#x201D; of the network, showing high influence scores (<xref rid="fig5" ref-type="fig">Figure 5</xref>; <xref rid="SM1" ref-type="supplementary-material">Supplementary Data 1</xref>). In particular, a gammaproteobacterial MAG in the genus <italic>Mangrovibacter</italic> consistently showed the highest influence among the microbes detected at most time points (<xref rid="fig5" ref-type="fig">Figure 5</xref>). Meanwhile, microbes located at the sink positions within the inferred metabolic interaction networks (i.e., MAGs with high PageRank scores) represented diverse taxonomic groups (<xref rid="fig5" ref-type="fig">Figure 5</xref>). From Day 40 to 50, through which a small number of bacterial taxa represented the microbiome structure, simple source&#x2013;sink relationship of potential metabolite flow was observed between <italic>Mangrovibacter</italic> and others (i.e., <italic>Hydrotalea</italic>, <italic>Terracidiphilus</italic>, and <italic>Rhizomicrobium</italic>; <xref rid="fig2" ref-type="fig">Figures 2</xref>, <xref rid="fig5" ref-type="fig">5</xref>).</p>
<fig position="float" id="fig5">
<label>Figure 5</label>
<caption><p>Potential keystone species/taxa within metabolic interaction networks. Within each directed graph of metabolic dependence network (<xref rid="fig4" ref-type="fig">Figure 4</xref>), influence-centrality (a measure of the degree to which a focal node has influence on the others within a directed graph) and PageRank-centrality (a measure of the degree to which a focal node has links from other nodes with many inward links) measures of network centrality was calculated for each microbe. <italic>Mangrovibacter</italic> tended to show high impacts (influence) on other bacteria within the metabolic interaction networks throughout the time-series. Mean and standard deviation across the 10 SMETANA runs with different random seed numbers are shown with symbols and bars, respectively.</p></caption>
<graphic xlink:href="fmicb-14-1153952-g005.tif"/>
</fig>
</sec>
<sec id="sec10">
<title>Community-scale facilitation and competition</title>
<p>The community-scale magnitude of facilitative interactions, as inferred with the metabolic interaction potential index, was the highest on Day 10, and it dropped sharply until Day 24 (<xref rid="fig6" ref-type="fig">Figure 6A</xref>). It then remained low until Day 60 and increased slightly late in the time-series. The community-scale magnitude of competitive interactions, as inferred with the metabolic resource overlap index, was the highest from Day 1 to Day 20 (<xref rid="fig6" ref-type="fig">Figure 6B</xref>). The level of potential competition then decreased until Day 50, but it returned to relatively high levels after Day 90 (<xref rid="fig6" ref-type="fig">Figure 6B</xref>).</p>
<fig position="float" id="fig6">
<label>Figure 6</label>
<caption><p>Community-scale inference of facilitation and competition. <bold>(A)</bold> Facilitation. Metabolic interaction potential was calculated as the difference between the minimal number of metabolites required for the growth of all MAGs in a community without interspecific interactions and that with interactions. <bold>(B)</bold> Competition. Metabolic resource overlap was estimated as the mean proportion of shared nutritional requirements (metabolites) in pairs of MAGs within a community (<xref ref-type="bibr" rid="ref73">Zelezniak et al., 2015</xref>). Mean and standard deviation across the 10 SMETANA runs with different random seed numbers are shown with diamonds and bars, respectively.</p></caption>
<graphic xlink:href="fmicb-14-1153952-g006.tif"/>
</fig>
</sec>
</sec>
<sec id="sec11" sec-type="discussions">
<title>Discussion</title>
<p>We here showed temporal shifts in the network architecture of facilitative interactions by compiling a metagenomic sequencing dataset of experimental microbiome dynamics. While ecosystem-level profiles of metabolic functions have been intensively investigated (<xref ref-type="bibr" rid="ref56">Raes and Bork, 2008</xref>), shotgun metagenomic data also allow us to infer potential ecological interactions between species (<xref rid="fig3" ref-type="fig">Figures 3</xref>&#x2013;<xref rid="fig6" ref-type="fig">6</xref>). Basic ecological theory predicts that facilitative interactions can destabilize biological communities (<xref ref-type="bibr" rid="ref1">Allesina and Tang, 2012</xref>). However, recent theoretical studies suggest that such effects of facilitative interactions depend on network architecture of interactions (<xref ref-type="bibr" rid="ref5">Bastolla et al., 2009</xref>; <xref ref-type="bibr" rid="ref67">Th&#x00E9;bault and Fontaine, 2010</xref>; <xref ref-type="bibr" rid="ref19">Fontaine et al., 2011</xref>; <xref ref-type="bibr" rid="ref45">Morton et al., 2022</xref>). Nestedness, for example, have been intensively investigated as a potential key property of facilitative interaction networks in terms of species coexistence (<xref ref-type="bibr" rid="ref4">Bascompte et al., 2003</xref>; <xref ref-type="bibr" rid="ref67">Th&#x00E9;bault and Fontaine, 2010</xref>; <xref ref-type="bibr" rid="ref59">Rohr et al., 2014</xref>). Meanwhile, most studies on facilitative ecological interactions have relied on the assumption that all links within a network are bidirectional (i.e., mutualistic). In this study, we explored ways for uncovering the structure of directed graphs of species interactions (<xref ref-type="bibr" rid="ref64">Sugihara et al., 2012</xref>; <xref ref-type="bibr" rid="ref70">Ushio et al., 2018</xref>; <xref ref-type="bibr" rid="ref15">Delmas et al., 2019</xref>) based on a metagenomic analysis of potential metabolic interactions (<xref ref-type="bibr" rid="ref73">Zelezniak et al., 2015</xref>). By showing that architecture of directed interaction networks can drastically change through time, we hope to spur discussion on potential roles of interaction network structure in biological community dynamics and stability.</p>
<p>Among the directed-graph indices examined in this study, orderability was of particular interest (<xref rid="fig4" ref-type="fig">Figure 4</xref>). It has been theoretically predicted that presence of positive feedback loops in facilitative interaction networks can destabilize ecological communities (<xref ref-type="bibr" rid="ref14">Coyte et al., 2015</xref>; <xref ref-type="bibr" rid="ref38">Levine et al., 2017</xref>). Specifically, such feedback structure of dependence may magnify cascades of population collapse once balance of population size among constituent species fluctuates within the feedback loops. In a previous study on the examined experimental microbiome, a high level of niche overlap among bacterial species was inferred to have promoted community compositional shifts (<xref ref-type="bibr" rid="ref24">Fujita et al., 2022</xref>). In particular, niche overlap within the gammaproteobacterial or alphaproteobacterial sub-community (guild) presumably resulted in competitive exclusion of constituent microbial populations (<xref ref-type="bibr" rid="ref24">Fujita et al., 2022</xref>). Such competition-driven decline of some gammaproteobacterial or alphaproteobacterial species may have triggered a cascade breakdown of species (<xref ref-type="bibr" rid="ref58">Rezende et al., 2007</xref>) through the positive feedback loop observed in this study (<xref rid="fig2" ref-type="fig">Figure 2</xref>). In other words, once competitive exclusion occurs within an ecological guild, species depending on the metabolites of the declining guilds are expected to be negatively influenced by the reduced flow of metabolites through the facilitative interaction network. The relatively high risk of potential resource competition early in the microbiome dynamics was inferred as well in the metabolic modeling of this study (<xref rid="fig6" ref-type="fig">Figure 6</xref>), suggesting the importance of simultaneously considering facilitative and competitive interactions.</p>
<p>Treeness and feedforwardness of network architecture give additional important information about propagation of negative effects within networks. If a facilitative interaction network has hierarchical structure represented by high treeness and feedforwardness (<xref ref-type="bibr" rid="ref13">Corominas-Murtra et al., 2013</xref>), placement of the ecological guilds from which fluctuations are initiated would influence subsequent ecological processes through the network. Specifically, fluctuations occurred in upstream positions may be propagated more rapidly throughout the network, while those derived from downstream positions would entail minimal impacts on the entire community. Albeit the potential roles of such hierarchical structure, the network architecture observed early in the experimental community (until Day 20) was represented by low treeness and feedforwardness (<xref rid="fig4" ref-type="fig">Figure 4B</xref>). Thus, the influence of hierarchical network structure on community collapse remains to be examined in future studies on networks with high treeness and feedforwardness.</p>
<p>In parallel with investigations on the entire network structure, directed-graphs reconstructed with metagenomic data provide us with insights into species occupying upstream/downstream positions within networks. Species located at upstream positions within a &#x201C;supply chain&#x201D; of metabolites may impose greater impacts on population dynamics of other species within the network than species at downstream positions. In our data, a bacterium in the genus <italic>Mangrovibacter</italic> continued to occupy upstream positions throughout the community dynamics as indicated by the analysis of network influence scores (<xref rid="fig5" ref-type="fig">Figure 5</xref>). Thus, although the <italic>Mangrovibacter</italic> bacterium was a minor component of the community (<xref rid="fig1" ref-type="fig">Figure 1</xref>), it might have disproportionately large impacts on the dynamics of the entire microbiome. This working hypothesis could only be tested by removing the <italic>Mangrovibacter</italic> bacterium from the experimental system. Nonetheless, such selective removal of specific bacterial species from microbiomes remains a challenge because the use of antibiotics often causes unexpected side-effects on non-target species (<xref ref-type="bibr" rid="ref12">Cho et al., 2012</xref>; <xref ref-type="bibr" rid="ref20">Francino, 2016</xref>; <xref ref-type="bibr" rid="ref36">Langdon et al., 2016</xref>). Technical advances that allow selective removal of potential &#x201C;keystone species&#x201D; (<xref ref-type="bibr" rid="ref51">Paine, 1966</xref>; <xref ref-type="bibr" rid="ref54">Power et al., 1996</xref>) within microbiomes as well as <italic>in silico</italic> simulation of those highlighted species will extend the discussion on species&#x2019; roles within networks.</p>
<p>While the conclusions drawn from our analysis remain preliminary, we hope that it can showcase the use of metabolic modeling approaches to understand dynamics and consequences of facilitative interactions in ecological communities for future studies. Context-dependency of network architecture, for example, needs to be examined by comparing network dynamics among different experimental settings (e.g., different culture media or different temperature conditions) (<xref ref-type="bibr" rid="ref73">Zelezniak et al., 2015</xref>; <xref ref-type="bibr" rid="ref41">Magn&#x00FA;sd&#x00F3;ttir et al., 2017</xref>). It is also important to evaluate to what extent network architectural properties inferred with the metabolic modeling approaches are consistent with those estimated with other informatics approaches. In this respect, comparison with recently developed methods for inferring species interactions based on time-series data is of particular interest (<xref ref-type="bibr" rid="ref16">Deyle et al., 2016</xref>; <xref ref-type="bibr" rid="ref70">Ushio et al., 2018</xref>; <xref ref-type="bibr" rid="ref66">Suzuki et al., 2022</xref>). Furthermore, integrating information of facilitative interactions with that of competitive interactions is an essential step for examining how relative balance of multiple interaction types affect community stability (<xref ref-type="bibr" rid="ref5">Bastolla et al., 2009</xref>; <xref ref-type="bibr" rid="ref19">Fontaine et al., 2011</xref>; <xref ref-type="bibr" rid="ref46">Mougi and Kondoh, 2012</xref>; <xref ref-type="bibr" rid="ref25">Goldford et al., 2018</xref>). Interdisciplinary studies combining genomics and ecological theory will broaden our views on fundamental mechanism driving microbial community dynamics.</p>
</sec>
<sec id="sec12" sec-type="data-availability">
<title>Data availability statement</title>
<p>The datasets and codes used in this study are available from the Github&#x202F;repository&#x202F;(<ext-link xlink:href="https://github.com/hiroakif93/Facilitative-interaction-networks-in-experimental-microbial-community-dynamics-" ext-link-type="uri">https://github.com/hiroakif93/Facilitative-interaction-networks-in-experimental-microbial-community-dynamics-</ext-link>).</p>
</sec>
<sec id="sec13">
<title>Author contributions</title>
<p>HT designed the work with HF. HF performed experiments. HF analyzed the data with HT. HF and HT wrote the paper with all the authors. All authors contributed to the article and approved the submitted version.</p>
</sec>
<sec id="sec14" sec-type="funding-information">
<title>Funding</title>
<p>This work was financially supported by JST PRESTO (JPMJPR16Q6), JSPS Grant-in-Aid for Scientific Research (20&#x2009;K20586), NEDO Moonshot Research and Development Program (JPNP18016), and JST FOREST (JPMJFR2048) to HT, Human Frontier Science Program (RGP0029/2019) to HT and EK, NWO-VICI (202.012) to EK, JSPS Grant-in-Aid for Scientific Research (20&#x2009;K06820 and 20H03010) to KS, and JSPS Fellowship to HF and AC.</p>
</sec>
<sec id="conf1" sec-type="COI-statement">
<title>Conflict of interest</title>
<p>The authors declare that the research was conducted in the absence of any commercial or financial relationships that could be construed as a potential conflict of interest.</p>
</sec>
<sec id="sec100" sec-type="disclaimer">
<title>Publisher&#x2019;s note</title>
<p>All claims expressed in this article are solely those of the authors and do not necessarily represent those of their affiliated organizations, or those of the publisher, the editors and the reviewers. Any product that may be evaluated in this article, or claim that may be made by its manufacturer, is not guaranteed or endorsed by the publisher.</p>
</sec>
</body>
<back>
<ack>
<p>We thank Sayaka S. Suzuki and Keisuke Koba for support in the experiment. We are grateful to the reviewers for their constructive comments that improved the manuscript.</p>
</ack>
<sec id="sec16" sec-type="supplementary-material">
<title>Supplementary material</title>
<p>The Supplementary material for this article can be found online at: <ext-link xlink:href="https://www.frontiersin.org/articles/10.3389/fmicb.2023.1153952/full#supplementary-material" ext-link-type="uri">https://www.frontiersin.org/articles/10.3389/fmicb.2023.1153952/full#supplementary-material</ext-link></p>
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<supplementary-material xlink:href="Table_2.XLSX" id="SM2" mimetype="application/vnd.openxmlformats-officedocument.spreadsheetml.sheet" xmlns:xlink="http://www.w3.org/1999/xlink"/>
<supplementary-material xlink:href="Table_3.XLSX" id="SM3" mimetype="application/vnd.openxmlformats-officedocument.spreadsheetml.sheet" xmlns:xlink="http://www.w3.org/1999/xlink"/>
</sec>
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