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<front>
<journal-meta>
<journal-id journal-id-type="publisher-id">Front. Mar. Sci.</journal-id>
<journal-title>Frontiers in Marine Science</journal-title>
<abbrev-journal-title abbrev-type="pubmed">Front. Mar. Sci.</abbrev-journal-title>
<issn pub-type="epub">2296-7745</issn>
<publisher>
<publisher-name>Frontiers Media S.A.</publisher-name>
</publisher>
</journal-meta>
<article-meta>
<article-id pub-id-type="doi">10.3389/fmars.2021.790929</article-id>
<article-categories>
<subj-group subj-group-type="heading">
<subject>Marine Science</subject>
<subj-group>
<subject>Original Research</subject>
</subj-group>
</subj-group>
</article-categories>
<title-group>
<article-title>Seascape Genomics Reveals Metapopulation Connectivity Network of <italic>Paramuricea biscaya</italic> in the Northern Gulf of Mexico</article-title>
</title-group>
<contrib-group>
<contrib contrib-type="author">
<name><surname>Galaska</surname> <given-names>Matthew P.</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/1149827/overview"/>
</contrib>
<contrib contrib-type="author">
<name><surname>Liu</surname> <given-names>Guangpeng</given-names></name>
<xref ref-type="aff" rid="aff4"><sup>4</sup></xref>
<uri xlink:href="http://loop.frontiersin.org/people/1074931/overview"/>
</contrib>
<contrib contrib-type="author">
<name><surname>West</surname> <given-names>Destiny</given-names></name>
<xref ref-type="aff" rid="aff1"><sup>1</sup></xref>
</contrib>
<contrib contrib-type="author">
<name><surname>Erickson</surname> <given-names>Katie</given-names></name>
<xref ref-type="aff" rid="aff5"><sup>5</sup></xref>
<uri xlink:href="http://loop.frontiersin.org/people/1528194/overview"/>
</contrib>
<contrib contrib-type="author">
<name><surname>Quattrini</surname> <given-names>Andrea M.</given-names></name>
<xref ref-type="aff" rid="aff6"><sup>6</sup></xref>
<uri xlink:href="http://loop.frontiersin.org/people/804650/overview"/>
</contrib>
<contrib contrib-type="author">
<name><surname>Bracco</surname> <given-names>Annalisa</given-names></name>
<xref ref-type="aff" rid="aff4"><sup>4</sup></xref>
<uri xlink:href="http://loop.frontiersin.org/people/290125/overview"/>
</contrib>
<contrib contrib-type="author" corresp="yes">
<name><surname>Herrera</surname> <given-names>Santiago</given-names></name>
<xref ref-type="aff" rid="aff1"><sup>1</sup></xref>
<xref ref-type="corresp" rid="c001"><sup>&#x002A;</sup></xref>
<uri xlink:href="http://loop.frontiersin.org/people/463058/overview"/>
</contrib>
</contrib-group>
<aff id="aff1"><sup>1</sup><institution>Department of Biological Sciences, College of Arts and Sciences, Lehigh University</institution>, <addr-line>Bethlehem, PA</addr-line>, <country>United States</country></aff>
<aff id="aff2"><sup>2</sup><institution>Cooperative Institute for Climate, Ocean, and Ecosystem Studies, University of Washington</institution>, <addr-line>Seattle, WA</addr-line>, <country>United States</country></aff>
<aff id="aff3"><sup>3</sup><institution>Pacific Marine Environmental Lab, National Oceanic and Atmospheric Administration</institution>, <addr-line>Seattle, WA</addr-line>, <country>United States</country></aff>
<aff id="aff4"><sup>4</sup><institution>School of Earth and Atmospheric Sciences, Georgia Institute of Technology</institution>, <addr-line>Atlanta, GA</addr-line>, <country>United States</country></aff>
<aff id="aff5"><sup>5</sup><institution>Biology Department, Harvey Mudd College</institution>, <addr-line>Claremont, CA</addr-line>, <country>United States</country></aff>
<aff id="aff6"><sup>6</sup><institution>Department of Invertebrate Zoology, National Museum of Natural History, Smithsonian Institution</institution>, <addr-line>Washington, DC</addr-line>, <country>United States</country></aff>
<author-notes>
<fn fn-type="edited-by"><p>Edited by: Lorenzo Angeletti, Institute of Marine Science, National Research Council (CNR), Italy</p></fn>
<fn fn-type="edited-by"><p>Reviewed by: Anna Maria Addamo, European Commission, Joint Research Centre (JRC), Italy; Pablo Saenz-Agudelo, Austral University of Chile, Chile</p></fn>
<corresp id="c001">&#x002A;Correspondence: Santiago Herrera, <email>santiago.herrera@lehigh.edu</email></corresp>
<fn fn-type="other" id="fn004"><p>This article was submitted to Deep-Sea Environments and Ecology, a section of the journal Frontiers in Marine Science</p></fn>
</author-notes>
<pub-date pub-type="epub">
<day>10</day>
<month>12</month>
<year>2021</year>
</pub-date>
<pub-date pub-type="collection">
<year>2021</year>
</pub-date>
<volume>8</volume>
<elocation-id>790929</elocation-id>
<history>
<date date-type="received">
<day>07</day>
<month>10</month>
<year>2021</year>
</date>
<date date-type="accepted">
<day>09</day>
<month>11</month>
<year>2021</year>
</date>
</history>
<permissions>
<copyright-statement>Copyright &#x00A9; 2021 Galaska, Liu, West, Erickson, Quattrini, Bracco and Herrera.</copyright-statement>
<copyright-year>2021</copyright-year>
<copyright-holder>Galaska, Liu, West, Erickson, Quattrini, Bracco and Herrera</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 degree of connectivity among populations influences their ability to respond to natural and anthropogenic stressors. In marine systems, determining the scale, rate, and directionality of larval dispersal is therefore, central to understanding how coral metapopulations are interconnected and the degree of resiliency in the event of a localized disturbance. Understanding these source-sink dynamics is essential to guide restoration efforts and for the study of ecology and evolution in the ocean. The patterns and mechanisms of connectivity in the deep-sea (&#x003E;200 m deep) are largely understudied. In this study, we investigated the spatial diversity patterns and metapopulation connectivity of the octocoral <italic>Paramuricea biscaya</italic> throughout the northern Gulf of Mexico (GoM). <italic>Paramuricea biscaya</italic> is one of the most abundant corals on the lower continental slope (between 1,200 and 2,500 m) in the GoM. The 2010 Deepwater Horizon oil spill (DWH) directly impacted populations of this species and thus are considered primary targets for restoration. We used a combination of seascape genomic analyses, high-resolution ocean circulation modeling, and larval dispersal simulations to quantify the degree of population structuring and connectivity among <italic>P. biscaya</italic> populations. Evidence supports the hypotheses that the genetic diversity of <italic>P. biscaya</italic> is structured by depth, and that larval dispersal among connected populations is asymmetric due to dominant ocean circulation patterns. Our results suggest that there are intermediate unsampled populations in the central GoM that serve as stepping stones for dispersal. The data suggest that the DeSoto Canyon area, and possibly the West Florida Escarpment, critically act as sources of larvae for areas impacted by the DWH oil spill in the Mississippi Canyon. This work illustrates that the management of deep-sea marine protected areas should incorporate knowledge of connectivity networks and depth-dependent processes throughout the water column.</p>
</abstract>
<kwd-group>
<kwd>population genomics</kwd>
<kwd>connectivity</kwd>
<kwd>Gulf of Mexico</kwd>
<kwd>coral</kwd>
<kwd>seascape genomics</kwd>
<kwd>RADseq</kwd>
<kwd>dispersal</kwd>
<kwd>deep-sea</kwd>
</kwd-group>
<contract-sponsor id="cn001">National Oceanic and Atmospheric Administration<named-content content-type="fundref-id">10.13039/100000192</named-content></contract-sponsor>
<counts>
<fig-count count="3"/>
<table-count count="2"/>
<equation-count count="0"/>
<ref-count count="116"/>
<page-count count="14"/>
<word-count count="11119"/>
</counts>
</article-meta>
</front>
<body>
<sec id="S1" sec-type="intro">
<title>Introduction</title>
<p>Marine ecosystems have traditionally been considered &#x201C;open&#x201D; with few apparent barriers to dispersal. However, phylogeographic studies often reveal unexpected levels of population structuring or even previously unrecognized cases of cryptic speciation (<xref ref-type="bibr" rid="B46">Hellberg, 2009</xref>; <xref ref-type="bibr" rid="B51">Hoffman et al., 2012</xref>; <xref ref-type="bibr" rid="B17">Cerca et al., 2021</xref>). These studies have primarily focused on coastal ecosystems and species of significant economic importance. In comparison, the patterns and mechanisms that generate genetic diversity in the deep-sea (&#x003E; 200 m deep) are largely understudied (<xref ref-type="bibr" rid="B3">Baco et al., 2016</xref>; <xref ref-type="bibr" rid="B104">Taylor and Roterman, 2017</xref>).</p>
<p>One general pattern in the deep-sea is that populations found at different depths (vertically separated by tens to hundreds of meters) are generally more differentiated than populations found at similar depths over large geographical areas (horizontally separated by hundreds to thousands of kilometers) (<xref ref-type="bibr" rid="B104">Taylor and Roterman, 2017</xref>). However, the mechanisms responsible for this pattern remain poorly understood. Determining the scales of connectivity of marine populations and the mechanisms behind them is crucial for the conservation of marine ecosystems (<xref ref-type="bibr" rid="B77">Palumbi, 2003</xref>; <xref ref-type="bibr" rid="B57">Kinlan et al., 2005</xref>; <xref ref-type="bibr" rid="B11">Botsford et al., 2009</xref>; <xref ref-type="bibr" rid="B35">Gaines et al., 2010</xref>), and the study of diversification and evolution in the ocean (<xref ref-type="bibr" rid="B68">McClain and Mincks Hardy, 2010</xref>).</p>
<p>Population genetic methods enable the identification of genetic structuring patterns and estimate the scale, rate, and direction of reproductive exchange among marine populations (<xref ref-type="bibr" rid="B14">Breusing et al., 2016</xref>; <xref ref-type="bibr" rid="B37">Galaska et al., 2017</xref>; <xref ref-type="bibr" rid="B9">Bertola et al., 2020</xref>). These inferences, when coupled with analyses of environmental parameters, physical models of ocean circulation, and simulations of larval dispersal, can significantly enhance our understanding of connectivity networks at scales relevant to management (<xref ref-type="bibr" rid="B7">Benestan et al., 2016</xref>; <xref ref-type="bibr" rid="B98">Sandoval-Castillo et al., 2018</xref>; <xref ref-type="bibr" rid="B115">Xuereb et al., 2018</xref>; <xref ref-type="bibr" rid="B8">Bernatchez et al., 2019</xref>; <xref ref-type="bibr" rid="B13">Bracco et al., 2019</xref>). This integrative approach is known as seascape genetics (<xref ref-type="bibr" rid="B38">Galindo et al., 2006</xref>; <xref ref-type="bibr" rid="B99">Selkoe et al., 2016</xref>). Only a handful of studies have implemented seascape approaches in the deep sea. These have predicted the presence of intermediate &#x201C;phantom&#x201D; populations of hydrothermal vent species along mid-ocean ridges (<xref ref-type="bibr" rid="B14">Breusing et al., 2016</xref>) and have suggested that variables related to currents and food sources may explain a significant fraction of observed genetic patterns of sponge and coral species (<xref ref-type="bibr" rid="B116">Zeng et al., 2020</xref>).</p>
<p>Corals are essential foundational species in deep-sea benthic habitats and are typically slow-growing and long-lived (<xref ref-type="bibr" rid="B94">Roark et al., 2009</xref>; <xref ref-type="bibr" rid="B101">Sherwood and Edinger, 2009</xref>; <xref ref-type="bibr" rid="B84">Prouty et al., 2011</xref>, <xref ref-type="bibr" rid="B83">2016</xref>; <xref ref-type="bibr" rid="B41">Girard et al., 2019</xref>). Deep-sea coral ecosystems are analogous to islands in that they are discrete and spatially separated. Each community serves as an oasis or biodiversity hotspot by locally enhancing the abundance and diversity of invertebrates and fishes (<xref ref-type="bibr" rid="B47">Henry and Roberts, 2007</xref>; <xref ref-type="bibr" rid="B96">Ross and Quattrini, 2007</xref>; <xref ref-type="bibr" rid="B18">Cordes et al., 2008</xref>; <xref ref-type="bibr" rid="B97">Rowden et al., 2010</xref>; <xref ref-type="bibr" rid="B22">Demopoulos et al., 2014</xref>). These characteristics of deep-sea corals make them particularly susceptible to anthropogenic impacts and a priority for conservation efforts.</p>
<p>The degree of connectivity among deep-sea coral populations influences the probability of speciation (<xref ref-type="bibr" rid="B86">Quattrini et al., 2015</xref>; <xref ref-type="bibr" rid="B49">Herrera and Shank, 2016</xref>) and likely contributes to their ability to respond to natural and anthropogenic stressors. Determining the scale, rate, and directionality of larval dispersal is therefore, central to understanding how coral metapopulations are interconnected and the degree of resiliency in the event of a localized disturbance, such as an oil spill (<xref ref-type="bibr" rid="B53">Jones et al., 2007</xref>; <xref ref-type="bibr" rid="B1">Almany et al., 2009</xref>). Understanding these source-sink dynamics is essential to guide restoration efforts (<xref ref-type="bibr" rid="B63">Lipcius et al., 2008</xref>; <xref ref-type="bibr" rid="B85">Puckett and Eggleston, 2016</xref>).</p>
<p>Herein, we investigate the spatial patterns of genetic variation and metapopulation connectivity of the octocoral <italic>Paramuricea biscaya</italic> throughout the northern Gulf of Mexico (GoM), using a seascape genomics framework. <italic>Paramuricea biscaya</italic>, distributed between 1,200 and 2,500 m, is one of the most common and abundant corals on hardgrounds on the lower continental slopein the GoM (<xref ref-type="bibr" rid="B24">Doughty et al., 2014</xref>). The 2010 Deepwater Horizon oil spill (DWH) directly impacted populations of this species (<xref ref-type="bibr" rid="B111">White et al., 2012</xref>; <xref ref-type="bibr" rid="B33">Fisher et al., 2014</xref>; <xref ref-type="bibr" rid="B21">DeLeo et al., 2018</xref>) and thus are considered primary targets for restoration (<xref ref-type="bibr" rid="B20">Deepwater Horizon Natural Resource Damage Assessment Trustees, 2016</xref>). We use a combination of population seascape genomic analyses, high-resolution ocean circulation modeling, and larval dispersal simulations to quantify the degree of structuring and connectivity among DWH impacted and non-impacted populations. This paper is a companion to the paper by <xref ref-type="bibr" rid="B64">Liu et al. (2021)</xref> that describes the ocean circulation modeling and larval dispersal simulations. Here we test the hypothesis that the genetic diversity of <italic>P. biscaya</italic> is predominantly structured by depth, and to a lesser degree, by distance. We also test the hypothesis that larval dispersal among connected populations is asymmetric due to dominant ocean circulation patterns.</p>
</sec>
<sec id="S2" sec-type="materials|methods">
<title>Materials and Methods</title>
<sec id="S2.SS1">
<title>Collection of Samples</title>
<p>We sampled <italic>Paramuricea biscaya</italic> colonies from six sites in the Northern Gulf of Mexico at depths between 1,371 and 2,400 m (<xref ref-type="table" rid="T1">Table 1</xref> and <xref ref-type="fig" rid="F1">Figure 1</xref>). The 2010 Deepwater Horizon oil spill directly impacted <italic>P. biscaya</italic> populations at three of these sites in the Mississippi Canyon area (MC294, MC297, and MC344) (<xref ref-type="bibr" rid="B111">White et al., 2012</xref>; <xref ref-type="bibr" rid="B33">Fisher et al., 2014</xref>). Collections took place during expeditions in 2009 (R/V Ron Brown, ROV Jason II), 2010 (R/V Ron Brown &#x0026; R/V Atlantis, ROV Jason II &#x0026; HOV Alvin), 2011 (MSV Holiday Chouest, ROV UHD-34), and 2017 (MSV Ocean Intervention II &#x0026; MSV Ocean Project, ROV Global Explorer &#x0026; ROV Comanche). We imaged individual coral colonies before and after removing a small distal branch using hydraulic manipulations mounted on remotely operated vehicles or submarines. We stored samples in insulated containers until the recovery of the vehicles by the surface vessel. Subsamples of each specimen were preserved in liquid nitrogen or 95% ethanol and stored at &#x2212;80&#x00B0;C.</p>
<table-wrap position="float" id="T1">
<label>TABLE 1</label>
<caption><p>Sampling sites, sample sizes, and environmental characteristics.</p></caption>
<table cellspacing="5" cellpadding="5" frame="hsides" rules="groups">
<thead>
<tr>
<td valign="top" align="left">Site</td>
<td valign="top" align="center">N<sub>s</sub></td>
<td valign="top" align="center">N<sub>d</sub></td>
<td valign="top" align="center">H<sub>e</sub></td>
<td valign="top" align="center">Latitude (decimal degrees)</td>
<td valign="top" align="center">Longitude (decimal degrees)</td>
<td valign="top" align="center">Depth (m)</td>
<td valign="top" align="center">Bottom temperature (&#x00B0;C)</td>
<td valign="top" align="center">Bottom salinity (PSU)</td>
<td valign="top" align="center">Bottom current speed (m/s)</td>
<td valign="top" align="center">Bottom O<sub>2</sub> (ml/l)</td>
<td valign="top" align="center">Bottom potential density &#x03C3;<sub>&#x03B8;</sub> (kg/m<sup>3</sup>)</td>
<td valign="top" align="center">Surface chlorophyll concentration (mg/m<sup>3</sup>)</td>
<td valign="top" align="center">Surface primary productivity [mg/(m<sup>2</sup> d)]</td>
</tr>
</thead>
<tbody>
<tr>
<td valign="top" align="left">DC673</td>
<td valign="top" align="center">37</td>
<td valign="top" align="center">34</td>
<td valign="top" align="center">0.0110</td>
<td valign="top" align="center">28.31174</td>
<td valign="top" align="center">&#x2013;87.30264</td>
<td valign="top" align="center">2,254</td>
<td valign="top" align="center">4.39 (0.04)</td>
<td valign="top" align="center">35.08 (0.01)</td>
<td valign="top" align="center">0.017 (0.006)</td>
<td valign="top" align="center">4.21</td>
<td valign="top" align="center">27.835</td>
<td valign="top" align="center">0.22 (0.07)</td>
<td valign="top" align="center">326.51 (90.84)</td>
</tr>
<tr>
<td valign="top" align="left">GC852</td>
<td valign="top" align="center">34</td>
<td valign="top" align="center">28</td>
<td valign="top" align="center">0.0133</td>
<td valign="top" align="center">27.10997</td>
<td valign="top" align="center">&#x2013;91.16619</td>
<td valign="top" align="center">1,407</td>
<td valign="top" align="center">4.26 (0.05)</td>
<td valign="top" align="center">35.02 (0.01)</td>
<td valign="top" align="center">0.033 (0.007)</td>
<td valign="top" align="center">4.36</td>
<td valign="top" align="center">27.792</td>
<td valign="top" align="center">0.15 (0.05)</td>
<td valign="top" align="center">258.99 (30.25)</td>
</tr>
<tr>
<td valign="top" align="left">KC405</td>
<td valign="top" align="center">31</td>
<td valign="top" align="center">26</td>
<td valign="top" align="center">0.0118</td>
<td valign="top" align="center">26.57086</td>
<td valign="top" align="center">&#x2013;93.48284</td>
<td valign="top" align="center">1,679</td>
<td valign="top" align="center">4.25 (0.02)</td>
<td valign="top" align="center">35.04 (0.00)</td>
<td valign="top" align="center">0.057 (0.011)</td>
<td valign="top" align="center">3.87</td>
<td valign="top" align="center">27.814</td>
<td valign="top" align="center">0.15 (0.05)</td>
<td valign="top" align="center">269.89 (30.46)</td>
</tr>
<tr>
<td valign="top" align="left">MC294</td>
<td valign="top" align="center">18</td>
<td valign="top" align="center">14</td>
<td valign="top" align="center">0.0144</td>
<td valign="top" align="center">28.67225</td>
<td valign="top" align="center">&#x2013;88.47649</td>
<td valign="top" align="center">1,371</td>
<td valign="top" align="center">4.78 (0.03)</td>
<td valign="top" align="center">34.98 (0.01)</td>
<td valign="top" align="center">0.033 (0.004)</td>
<td valign="top" align="center">4.29</td>
<td valign="top" align="center">27.706</td>
<td valign="top" align="center">0.59 (0.43)</td>
<td valign="top" align="center">551.65 (348.93)</td>
</tr>
<tr>
<td valign="top" align="left">MC297</td>
<td valign="top" align="center">16</td>
<td valign="top" align="center">13</td>
<td valign="top" align="center">0.0142</td>
<td valign="top" align="center">28.68243</td>
<td valign="top" align="center">&#x2013;88.34401</td>
<td valign="top" align="center">1,577</td>
<td valign="top" align="center">4.73 (0.03)</td>
<td valign="top" align="center">34.97 (0.01)</td>
<td valign="top" align="center">0.046 (0.006)</td>
<td valign="top" align="center">4.42</td>
<td valign="top" align="center">27.700</td>
<td valign="top" align="center">0.47 (0.30)</td>
<td valign="top" align="center">473.10 (221.81)</td>
</tr>
<tr>
<td valign="top" align="left">MC344</td>
<td valign="top" align="center">18</td>
<td valign="top" align="center">18</td>
<td valign="top" align="center">0.0128</td>
<td valign="top" align="center">28.63360</td>
<td valign="top" align="center">&#x2013;88.16959</td>
<td valign="top" align="center">1,852</td>
<td valign="top" align="center">4.29 (0.01)</td>
<td valign="top" align="center">35.02 (0.00)</td>
<td valign="top" align="center">0.028 (0.006)</td>
<td valign="top" align="center">4.48</td>
<td valign="top" align="center">27.793</td>
<td valign="top" align="center">0.39 (0.24)</td>
<td valign="top" align="center">411.74 (147.99)</td>
</tr>
</tbody>
</table>
<table-wrap-foot>
<fn><p><italic>N<sub>s</sub>, Sequencing sample size; N<sub>d</sub>, Dataset sample size after filtering individuals with more than 35% missing data. H<sub>e</sub>, Nei&#x2019;s unbiased gene diversity (expected heterozygosity) (<xref ref-type="bibr" rid="B74">Nei, 1978</xref>). See the main text for the source of the other environmental parameters. Environmental parameters represent averages (and standard deviations) of values extracted from gridded datasets using geographical coordinates of each sample.</italic></p></fn>
</table-wrap-foot>
</table-wrap>
<fig id="F1" position="float">
<label>FIGURE 1</label>
<caption><p>Population genetic structure of <italic>Paramuricea biscaya</italic> in the northern Gulf of Mexico. <bold>(A)</bold> Map showing the study sites in the Gulf of Mexico. <bold>(B)</bold> Image of <italic>Paramuricea biscaya</italic> in its natural habitat at GC852 in the Gulf of Mexico, courtesy of F. Girard and ECOGIG. <bold>(C)</bold> Density plots of the first discriminant function estimated from DAPC with no sampling location priors. Insert scatter-line plot shows the BIC values for each cluster number (K) tested. K<sub>D1</sub> and K<sub>D2</sub> are clusters 1 and 2 identified by DAPC, respectively. <bold>(D)</bold> Scatter plot of the first discriminant analysis (DA) eigenvalues calculated by DAPC with sampling location priors. Individuals are color-coded by sampling site. Colors correspond to sites in <bold>(A)</bold>. <bold>(E)</bold> Same scatter plot as in <bold>(D)</bold> but color-coded by DAPC cluster assignment as in <bold>(C)</bold>. <bold>(F)</bold> Same scatter plot as in <bold>(D)</bold> but color-coded by individual sampling depth. <bold>(G)</bold> Bayesian population clustering analyses in STRUCTURE. Bars represent individuals grouped by sampling site (top) and DAPC cluster membership (bottom). The color distributions of each bar are proportional to the cluster membership proportions, K<sub>D1</sub> and K<sub>D2,</sub> estimated by STRUCTURE. The scatter-line plot on the right shows the <italic>ad hoc</italic> statistic &#x0394;K, the second-order rate of change of the likelihood function for each cluster number (K) tested. <bold>(H)</bold> Heatmap of pairwise F<sub>ST</sub> indices of genetic differentiation among sampling sites. The dendrogram on the left was constructed using the Neighbor-Joining algorithm on the F<sub>ST</sub> values.</p></caption>
<graphic mimetype="image" mime-subtype="tiff" xlink:href="fmars-08-790929-g001.tif"/>
</fig>
</sec>
<sec id="S2.SS2">
<title>Molecular Laboratory Methods</title>
<p>To characterize the genetic diversity of <italic>P. biscaya</italic> individuals, we performed reduced representation DNA sequencing (RAD-seq) (<xref ref-type="bibr" rid="B4">Baird et al., 2008</xref>; <xref ref-type="bibr" rid="B93">Reitzel et al., 2013</xref>). DNA was purified using the Qiagen DNeasy Blood and Tissue Kit following manufacturers&#x2019; protocols. We checked DNA integrity and purity by visual inspection on a 1% agarose gel and a NanoDrop spectrophotometer (NanoDrop Technologies), respectively. DNA concentration was determined and normalized using a Qubit 4.0 fluorometer (Invitrogen). We confirmed species identification through DNA barcoding of the COI mitochondrial gene following the protocols described by <xref ref-type="bibr" rid="B87">Quattrini et al. (2014)</xref> (NCBI GenBank Accession numbers <ext-link ext-link-type="DDBJ/EMBL/GenBank" xlink:href="MT795490">MT795490</ext-link> to <ext-link ext-link-type="DDBJ/EMBL/GenBank" xlink:href="MT795554">MT795554</ext-link>). Floragenex Inc. (Eugene, OR) performed RAD sequencing library preparation utilizing the 6-cutter <italic>Pst</italic>I restriction enzyme on quality-checked and concentration-normalized high-molecular-weight DNA. Using the program <italic>PredRAD</italic> (<xref ref-type="bibr" rid="B48">Herrera et al., 2015</xref>), we predicted tens of thousands of cleavage sites in coral genomes with the <italic>Pst</italic>I restriction enzyme. Libraries were dual-barcoded and sequenced on an Illumina Hi-Seq 4,000 1 &#x00D7; 100 platform.</p>
</sec>
<sec id="S2.SS3">
<title>Data QC and Single Nucleotide Polymorphism Calling</title>
<p>We de-multiplexed and quality filtered raw sequence RAD-seq reads using the <italic>process_radtags</italic> program in Stacks v2.1 (<xref ref-type="bibr" rid="B16">Catchen et al., 2013</xref>) with the following flags: &#x2013;inline_null, -r, -c, and -q, with default values. We performed read clustering and single nucleotide polymorphism (SNP) calling using the DeNovoGBS (<xref ref-type="bibr" rid="B81">Parra-Salazar et al., 2021</xref>) module of the software package NGSEP v4.0.1 (<xref ref-type="bibr" rid="B105">Tello et al., 2019</xref>). This software is more computationally efficient and has comparable or better accuracy than programs like Stacks or pyRAD (<xref ref-type="bibr" rid="B29">Eaton, 2014</xref>) for <italic>de novo</italic> analysis of genotype-by-sequencing data (<xref ref-type="bibr" rid="B81">Parra-Salazar et al., 2021</xref>). We assumed a heterozygosity rate of 1.5% (&#x2013;h 0.015) as calculated from the short read genome-wide data of the sister species <italic>Paramuricea</italic> sp. type B3 (<xref ref-type="bibr" rid="B24">Doughty et al., 2014</xref>) using the software GenomeScope v2.0 (<xref ref-type="bibr" rid="B108">Vurture et al., 2017</xref>) from the National Center for Biotechnology Information (NCBI) Sequence Read Archive (SRA) under BioProject number <ext-link ext-link-type="DDBJ/EMBL/GenBank" xlink:href="PRJNA574146">PRJNA574146</ext-link> (<xref ref-type="bibr" rid="B107">Vohsen et al., 2020</xref>).</p>
</sec>
<sec id="S2.SS4">
<title>Single Nucleotide Polymorphism and Individual Filtering</title>
<p>Single nucleotide polymorphisms were filtered using vcftools v0.1.16 (<xref ref-type="bibr" rid="B19">Danecek et al., 2011</xref>) to exclude SNP loci that: (1) had more than 30% missing data, (2) a mean depth of coverage smaller than 10x or greater than 100x, (3) a minor allele frequency smaller than 0.01, and (4) had more than two alleles. The resulting dataset, containing 12,948 SNPs and 154 individuals, is hereafter referred to as the <italic>all_snp</italic> dataset. <italic>BayeScan</italic> v.2.01 (<xref ref-type="bibr" rid="B34">Foll and Gaggiotti, 2008</xref>) was used to identify SNP potentially under positive selection (&#x2013;n 5,000 &#x2013;burn 50,000 &#x2013;pr_odds 10,000, Qval &#x003C; 0.05).</p>
<p>The <italic>all_snp</italic> dataset was imported into the R v4.0.3 statistical environment (<xref ref-type="bibr" rid="B90">R Core Team, 2013</xref>) for further filtering. We excluded individuals if they had missing data in more than 35% of the SNP loci or identified as clones by <italic>clonecorrect</italic> function from the R package <italic>poppr</italic> v2.8.6 (<xref ref-type="bibr" rid="B54">Kamvar et al., 2014</xref>). We excluded SNP loci if their observed heterozygosity was greater than 0.5, as estimated with <italic>hierfstat</italic> v0.5 (<xref ref-type="bibr" rid="B44">Goudet et al., 2005</xref>), or if their allelic frequencies were not in Hardy-Weinberg equilibrium, as estimated with <italic>pegas</italic> v0.14 (<xref ref-type="bibr" rid="B80">Paradis, 2010</xref>) (<italic>B</italic> = 1,000, <italic>p</italic> &#x003C; 0.01). We randomly retained one SNP per RAD locus to reduce the risk of violating the assumption of independence among SNP. Finally, 10 SNPs in RAD loci identified as potentially under positive selection by <italic>BayeScan</italic> were excluded (<xref ref-type="supplementary-material" rid="DS1">Supplementary Figure 1</xref>). This dataset, containing 4,248 unlinked neutral SNPs across 133 individuals, is hereafter referred to as the <italic>neutral</italic> dataset.</p>
</sec>
<sec id="S2.SS5">
<title>Genetic Connectivity</title>
<p>To measure the genetic connectivity among sampling sites, we estimated migration rates (<italic>m</italic>), defined as the proportion of immigrant individuals in the last two generations, using BAYESASS v3.0.4.2 (<xref ref-type="bibr" rid="B113">Wilson and Rannala, 2003</xref>). Twelve independent runs with different random seeds were performed using the <italic>neutral</italic> dataset. We ran each analysis for 100 million Markov chain Monte Carlo (MCMC) iterations, with 50 million burn-in iterations and one thousand iterations sampling frequency. Mixing parameters (&#x2013;m0.35 &#x2013;a0.9 &#x2013;f0.09) were optimized to ensure adequate mixing (acceptance rates between 20 and 60%). MCMC trace files were examined in the program Tracer v1.7.1 (<xref ref-type="bibr" rid="B92">Rambaut et al., 2018</xref>) to evaluate convergence and consistency of estimates among runs. We calculated point estimates of <italic>m</italic> as the median of the posterior distribution and their uncertainty as 95% High Posterior Density (HPD) intervals.</p>
</sec>
<sec id="S2.SS6">
<title>Potential Connectivity</title>
<p>To identify dispersal mechanisms that could explain genetic connectivity estimates, we compared our results with the potential connectivity estimates (probability of connectivity through larval dispersal among sampling sites) by <xref ref-type="bibr" rid="B64">Liu et al. (2021)</xref>. Briefly, <xref ref-type="bibr" rid="B64">Liu et al. (2021)</xref> simulated the dispersal trajectories of neutrally-buoyant Lagrangian particles in an implementation of a high-resolution three-dimensional Coastal and Regional Ocean COmmunity hydrodynamic model (CROCO) (<xref ref-type="bibr" rid="B64">Liu et al., 2021</xref>). The model encompassed the area between 98&#x2013;82&#x00B0; W and 24&#x2013;31&#x00B0; N and had a horizontal grid resolution of approximately 1 km and 50 vertical sigma (density) layers. Once per season, Lagrangian particles were deployed uniformly at the seafloor in 0.05&#x00B0; &#x00D7; 0.05&#x00B0; boxes (approximately 5 km by 5 km) centered at the location of the sampling sites, with a zonal (dx) and meridional (dy) intervals of 0.00075&#x00B0; (approximately 75 m). This configuration resulted in 4,489 particles released at each site, and nearly 27,000 particles in each seasonal release. The particles were tracked offline using the Lagrangian tool Ichthyop (<xref ref-type="bibr" rid="B62">Lett et al., 2008</xref>) and recorded hourly. Horizontal connectivity through larval dispersal among sampling sites (<italic>l</italic><sub><italic>h</italic></sub>) was defined as the average proportion of neutrality-buoyant Lagrangian particles released at a source site (<italic>i</italic>) area that passed over another site (<italic>j</italic>) area (sink) after 56 days (computational constraints limited the length of the tracking) starting from January 25th, April 25th, July 24th, and November 1st, 2015. The pelagic larval duration (PLD) for <italic>Paramuricea biscaya</italic> is unknown, but <xref ref-type="bibr" rid="B50">Hilario et al. (2015)</xref> found that a PLD between 35 and 69 days seems representative of 50&#x2013;75% of deep-sea species. The definition of vertical connectivity (<italic>l</italic><sub><italic>v</italic></sub>) is the same as horizontal connectivity, except that a particle also has to pass within 50 m of the sink site&#x2019;s seafloor depth. <xref ref-type="bibr" rid="B64">Liu et al. (2021)</xref> also evaluated longer PLDs by extending the Lagrangian tracking starting November 1st to 148 days and with additional Eulerian dye releases followed for 120 days. The dye release indicated that although Lagrangian particles cover a smaller area than the Eulerian dye, they capture the same main dispersal features and do not predict substantially different connectivity patterns. No other biological parameters such as larval growth, mortality, settlement, and swimming because they are unknown for the study species.</p>
</sec>
<sec id="S2.SS7">
<title>Population Genetic Structure</title>
<p>To determine the patterns of genetic structuring of the sampled <italic>P. biscaya</italic> corals, we performed a discriminant analysis of principal components (DAPC) on the <italic>neutral</italic> dataset using the R package <italic>adegenet</italic> v2.1.3 (<xref ref-type="bibr" rid="B52">Jombart, 2008</xref>). DAPC was performed with and without sampling locations as priors after estimating the optimal number of principal components with the function <italic>optim.a.score</italic>. For the DAPC with no priors, we applied the Bayesian Information Criterion to choose the optimal number of clusters (K) that explain the genetic variability in the dataset using the function <italic>find.clusters</italic>.</p>
<p>We also inferred population structuring patterns (as historical lineages) with the <italic>neutral</italic> dataset by maximizing the posterior probability of the genotypic data, given a set number of clusters (K). This method is known as Bayesian population clustering and is implemented in the program <italic>Structure</italic> v2.3.4 (<xref ref-type="bibr" rid="B82">Pritchard et al., 2000</xref>). We used the admixture model with uncorrelated allele frequencies. The MCMC was run for 1.1 &#x00D7; 10<sup>6</sup> repetitions (burn-in period 1 &#x00D7; 10<sup>5</sup>). We evaluated values for K from 1 to 6 (10 replicates each). We selected the optimal value of K using the program <italic>StructureHarvester</italic> v0.6.92 (<xref ref-type="bibr" rid="B28">Earl and vonHoldt, 2012</xref>) according to the <italic>ad hoc</italic> &#x0394;K statistic (<xref ref-type="bibr" rid="B30">Evanno et al., 2005</xref>), which is the second-order rate of change of the likelihood function. We visualized <italic>structure</italic> results using the program R package <italic>starmie</italic> (<xref ref-type="bibr" rid="B106">Tonkin-Hill and Lee, 2016</xref>).</p>
<p>We performed a hierarchical Analysis of Molecular Variance (AMOVA) (<xref ref-type="bibr" rid="B31">Excoffier et al., 1992</xref>) with the <italic>neutral</italic> dataset to calculate F-statistics and test for differentiation at the individual, site, and genetic cluster levels. The AMOVA, performed in <italic>genodive</italic> v3.04 (<xref ref-type="bibr" rid="B70">Meirmans, 2020</xref>), assumed an infinite-alleles model. We calculated pairwise F<sub>ST</sub> (<xref ref-type="bibr" rid="B110">Weir and Cockerham, 1984</xref>) differentiation statistics among sampling sites with the R package <italic>assigner</italic> v.0.5.8 (<xref ref-type="bibr" rid="B43">Gosselin et al., 2020</xref>).</p>
</sec>
<sec id="S2.SS8">
<title>Redundancy Analyses</title>
<p>To quantify environmental variables&#x2019; significance and relative importance in shaping genetic diversity in <italic>P. biscaya</italic>, we used a series of redundancy analyses (RDA) in the R package <italic>vegan</italic> v2.5 (<xref ref-type="bibr" rid="B75">Oksanen et al., 2007</xref>). RDA has two steps. First, a multiple linear regression between genetic (response) and environmental (explanatory) data matrices produces a matrix of fitted values. Second, a principal components analysis (PCA) of the fitted values. The PCA axes are linear combinations of the explanatory variables (<xref ref-type="bibr" rid="B60">Legendre and Legendre, 2012</xref>).</p>
<p>We performed site-level RDA (<xref ref-type="bibr" rid="B60">Legendre and Legendre, 2012</xref>) on sites&#x2019; allelic frequencies and geographical distances. We first transformed geographical distances as in-water distances using the <italic>lc.dist</italic> function of the R package <italic>marmap</italic> v1.0.4 (<xref ref-type="bibr" rid="B79">Pante and Simon-Bouhet, 2013</xref>), and later represented as distance-based Moran&#x2019;s eigenvector maps (dbMEM) (<xref ref-type="bibr" rid="B26">Dray et al., 2006</xref>) using the R package <italic>adespatial</italic> (<xref ref-type="bibr" rid="B25">Dray et al., 2018</xref>).</p>
<p>We performed individual-level distance-based RDA (dbRDA) (<xref ref-type="bibr" rid="B67">McArdle and Anderson, 2001</xref>) with the matrix of genetic distances calculated from the <italic>neutral</italic> dataset and a matrix of environmental variables. Missing genotypes in each individual were first imputed by assigning the most common genotype for each locus at the collection site. Environmental variables included: depth, latitude, longitude, bottom temperature, salinity, bottom current speed, bottom oxygen concentration, bottom seawater potential density (&#x03C3;<sub>&#x03B8;</sub>), surface chlorophyll concentration, and surface primary productivity. Average monthly bottom temperature, salinity, current speed values between 2011 and 2018, as extracted by <xref ref-type="bibr" rid="B45">Goyert et al. (2021)</xref> from the HYbrid Coordinate Ocean Model (HYCOM) for the Gulf of Mexico, were summarized as mean and standard deviation grids with a 4 km resolution. Bottom oxygen concentration values are annual means gridded from the World Ocean Database by <xref ref-type="bibr" rid="B45">Goyert et al. (2021)</xref> at a 370 m resolution. We calculated bottom seawater potential density (&#x03C3;<sub>&#x03B8;</sub>) values using the R package <italic>oce</italic> v1.2 (<xref ref-type="bibr" rid="B55">Kelley, 2018</xref>). We obtained average monthly surface chlorophyll concentration and primary productivity values between 2011 and 2018 from the E.U. Copernicus Marine Service Information, Copernicus Globcolour ocean products grids OCEANCOLOUR_GLO_CHL_L4_REP_OBSERVATIONS _009_082 and OCEANCOLOUR_GLO_OPTICS_L4_REP_OBS ERVATIxONS_009_081 (accessed on June 2021),<sup><xref ref-type="fn" rid="footnote1">1</xref></sup> and summarized as mean and standard deviation grids with a 4 km resolution. Individual parameter values were extracted from these grids using the latitude and longitude of each sampled coral.</p>
<p>To avoid problems with highly correlated environmental variables (<xref ref-type="bibr" rid="B23">Dormann et al., 2013</xref>), we performed a pairwise correlation test and removed variables with a correlation coefficient |<italic>r</italic>| &#x003E; 0.7 and a <italic>p</italic>-value &#x003C; 0.05. We retained the most seemingly ecologically relevant variable when two or more variables were correlated. We evaluated the explanatory importance of each environmental variable using forward selection and analysis of variance (ANOVA) after 10,000 permutations (<bold>&#x03B1;</bold> = 0.05) using the <italic>ordistep</italic> function in <italic>vegan.</italic> Retained environmental variables were included in the dbRDA using the <italic>dbrda</italic> function in <italic>vegan</italic>. We performed a variance partitioning analysis with the function <italic>varpart</italic> and tested its significance through global and marginal ANOVAs (1,000 permutations, &#x03B1; = 0.01).</p>
</sec>
</sec>
<sec id="S3" sec-type="results">
<title>Results</title>
<sec id="S3.SS1">
<title>Population Connectivity</title>
<p>Migration rates (<italic>m</italic>) among sites estimated from genetic data using BAYESASS were overall low (average = 0.011, standard deviation = 0.065), with a few exceptions. Approximately 20% of individuals at the sites MC344 (depth 1,852 m) and KC405 (1,679 m) likely immigrated from the De Soto Canyon area (site DC673, depth 2,254 m), within the last one or two generations [<xref ref-type="fig" rid="F2">Figure 2A</xref> and <xref ref-type="supplementary-material" rid="DS1">Supplementary Figure 2</xref>; <italic>m</italic><sub><italic>DC</italic>673&#x2013;<italic>MC</italic>344</sub> = 0.210, 95% HPD<sub><italic>DC</italic>673&#x2013;<italic>MC</italic>344</sub> = (0.145,0.269); <italic>m</italic><sub><italic>DC</italic>673&#x2013;<italic>KC</italic>405</sub> = 0.181, 95% HPD<sub><italic>DC</italic>673&#x2013;<italic>KC</italic>405</sub> = (0.123,0.236)]. The potential contribution of immigrants from DC673 to site GC852 (depth 1,407 m), in the Green Canyon area, and sites MC294 (depth 1,407 m) and MC297 in the Mississippi Canyon area was smaller but still substantial, ranging between 3 and 10% [<xref ref-type="fig" rid="F2">Figure 2A</xref> and <xref ref-type="supplementary-material" rid="DS1">Supplementary Figure 2</xref>; <italic>m</italic><sub><italic>DC</italic>673&#x2013;<italic>GC</italic>852</sub> = 0.097, 95% HPD<sub><italic>DC</italic>673&#x2013;<italic>GC</italic>852</sub> = (0.050,0.149); <italic>m</italic><sub><italic>DC</italic>673&#x2013;<italic>MC</italic>294</sub> = 0.051, 95% HPD<sub><italic>DC</italic>673&#x2013;<italic>MC</italic>294</sub> = (0.000,0.076); <italic>m</italic><sub><italic>DC</italic>673&#x2013;<italic>MC</italic>297</sub> = 0.085, 95% HPD<sub><italic>DC</italic>673&#x2013;<italic>MC</italic>297</sub> = (0.028,0.153)]. These analyses also indicate that GC852 may also be an important source of immigrants to the Mississippi Canyon area. The potential contribution of immigrants from GC852 to sites MC344, MC297, and MC294 ranges between 5 and 24% [<xref ref-type="fig" rid="F2">Figure 2</xref> and <xref ref-type="supplementary-material" rid="DS1">Supplementary Figure 2</xref>; <italic>m</italic><sub><italic>GC</italic>852&#x2013;<italic>MC</italic>344</sub> = 0.052, 95% HPD<sub><italic>DC</italic>673&#x2013;<italic>GC</italic>852</sub> = (0.012,0.105); <italic>m</italic><sub><italic>GC</italic>852&#x2013;<italic>MC</italic>294</sub> = 0.236, 95% HPD<sub><italic>DC</italic>673&#x2013;<italic>MC</italic>294</sub> = (0.167,0.295); <italic>m</italic><sub><italic>DC</italic>673&#x2013;<italic>MC</italic>297</sub> = 0.139, 95% HPD<sub><italic>DC</italic>673&#x2013;<italic>MC</italic>297</sub> = (0.071,0.212)].</p>
<fig id="F2" position="float">
<label>FIGURE 2</label>
<caption><p>Directional population connectivity <italic>Paramuricea biscaya</italic> in the northern Gulf of Mexico. <bold>(A)</bold> Migration rates (<italic>m</italic>) inferred from observed genetic data using BAYESASS. <bold>(B)</bold> Horizontal connectivity probabilities (<italic>l</italic><sub><italic>h</italic></sub>) integrated over all available periods (56 days in February, April, and August releases, and 148 days for November) calculated from larval dispersal simulations. <bold>(C)</bold> 3D connectivity probabilities (<italic>l</italic><sub><italic>v</italic></sub>) (including both horizontal and vertical components) calculated from larval dispersal simulations. Rows in each matrix indicate source sites, and columns indicate sink sites. <bold>(B,C)</bold> Are modified from <xref ref-type="bibr" rid="B64">Liu et al. (2021)</xref>. <bold>(D)</bold> Map depicting population connectivity patterns among study sites. Dots indicate sites. A line connecting two dots indicates an observed (genetic) or predicted (model) connection &#x003E; 0. Solid lines indicate connections supported by both genetic and model data. Dashed lines indicate connections supported only by genetic data. Arrowheads indicate the direction of the connection. Line thickness is proportional to the strength of the connection (measured as migration rate <italic>m</italic>). Line and dot colors indicate site identities and correspond to those in <xref ref-type="fig" rid="F1">Figures 1A,D</xref>.</p></caption>
<graphic mimetype="image" mime-subtype="tiff" xlink:href="fmars-08-790929-g002.tif"/>
</fig>
<p>Horizontal connectivity probabilities (<italic>l</italic><sub><italic>h</italic></sub>) calculated from larval dispersal simulations recovered a remarkable congruence with the estimated migration rates (<italic>m)</italic> concerning the role of the De Soto Canyon area DC673 as a source of larvae for the Mississippi Canyon sites (<xref ref-type="fig" rid="F2">Figures 2B,D</xref>, <italic>l</italic><sub><italic>h DC</italic>673&#x2013;<italic>MC</italic>344</sub> = 0.184,; <italic>l</italic><sub><italic>h DC</italic>673&#x2013;<italic>MCC</italic>294</sub> = 0.051; <italic>l</italic><sub><italic>h DC</italic>673&#x2013;<italic>MC</italic>297</sub> = 0.096), but not for the Green Canyon (GC852) or the Keathley Canyon (KC405) areas. The congruence is only maintained in the 3D connectivity probability (<italic>l</italic><sub><italic>v</italic></sub>) for MC344 (<xref ref-type="fig" rid="F2">Figures 2C,D</xref>, <italic>l</italic><sub><italic>v DC</italic>673&#x2013;<italic>MC</italic>344</sub> = 0.031). The larval dispersal simulations also predict bi-directional connectivity between MC294 and MC297 (<italic>l</italic><sub><italic>h MC</italic>294&#x2013;<italic>MC</italic>297</sub> = 0.348,; <italic>l</italic><sub><italic>h MC</italic>297&#x2013;<italic>MCC</italic>294</sub> = 0.172; <italic>l</italic><sub><italic>v MC</italic>294&#x2013;<italic>MC</italic>297</sub> = 0.082; <italic>l</italic><sub><italic>v MC</italic>297&#x2013;<italic>MCC</italic>294</sub> = 0.012) but the estimated migration rates between these sites are low [<xref ref-type="fig" rid="F2">Figure 2A</xref> and <xref ref-type="supplementary-material" rid="DS1">Supplementary Figure 2</xref>; <italic>m</italic><sub><italic>MC</italic>294&#x2013;<italic>MC</italic>297</sub> = 0.013, 95% HPD<sub><italic>MC</italic>294&#x2013;<italic>MC</italic>297</sub> = (0.000,0.051); <italic>m</italic><sub><italic>MC</italic>297&#x2013;<italic>MCC</italic>294</sub> = 0.012, 95% HPD<sub><italic>MC</italic>297&#x2013;<italic>MCC</italic>294</sub> = (0.000,0.049)].</p>
</sec>
<sec id="S3.SS2">
<title>Population Genetic Structure</title>
<p>DAPC analysis with no location priors indicated that there is metapopulation substructuring within <italic>P. biscaya&#x2019;s</italic> sampled range. The variability in the genetic data was explained by two clusters K<sub><italic>D</italic>1</sub> (<italic>n</italic> = 89) and K<sub><italic>D</italic>2</sub> (<italic>n</italic> = 44) (optimal <italic>K</italic> = 2, BIC = 616.8, 18 retained PCs; <xref ref-type="fig" rid="F1">Figure 1C</xref>). Each individual was considered a member of the group with the highest probability. The first cluster is mainly composed of individuals collected at sites DC673 (100% of sampled individuals belong to K<sub><italic>D</italic>1</sub>), KC405 (100% K<sub><italic>D</italic>1</sub>), and MC344 (83% K<sub><italic>D</italic>1</sub>), while the second cluster is mainly composed of individuals collected at sites MC294 (93% of sampled individuals belong to K<sub><italic>D</italic>2</sub>), MC297 (54% K<sub><italic>D</italic>2</sub>), and GC852 (75% K<sub><italic>D</italic>2</sub>) (<xref ref-type="fig" rid="F1">Figures 1C&#x2013;E</xref>). The first discriminant axis, calculated by DAPC analysis with location priors, explained 58.4% of the variance and primarily reflected the differentiation between the two inferred clusters K<sub><italic>D</italic>1</sub> and K<sub><italic>D</italic>2</sub>. This differentiation seemed to be associated with depth as samples assigned to K<sub><italic>D</italic>1</sub> were on average found at deeper locations (mean depth at which K<sub><italic>D</italic>1</sub> individuals were sampled: <inline-formula><mml:math id="INEQ11"><mml:mover accent="true"><mml:mi>x</mml:mi><mml:mo stretchy="false">&#x00AF;</mml:mo></mml:mover></mml:math></inline-formula><sub><italic>KD</italic>1</sub> = 1,896 m, standard deviation: s<sub><italic>KD</italic>1</sub> = 308 m) than individuals assigned to K<sub><italic>D</italic>2</sub> (<inline-formula><mml:math id="INEQ12"><mml:mover accent="true"><mml:mi>x</mml:mi><mml:mo stretchy="false">&#x00AF;</mml:mo></mml:mover></mml:math></inline-formula><sub><italic>KD</italic>2</sub> = 1454 m, s<sub><italic>KD</italic>2</sub> = 130 m) (<xref ref-type="fig" rid="F1">Figure 1F</xref>).</p>
<p>The STRUCTURE analyses of Bayesian population clustering confirmed the presence of two ancestry clusters, K<sub><italic>S</italic>1</sub> (<italic>n</italic> = 91) and K<sub><italic>S</italic>2</sub> (<italic>n</italic> = 42), that largely corresponded to the clusters identified by the DAPC K<sub><italic>D</italic>1</sub> and K<sub><italic>D</italic>2</sub>, respectively (we considered each individual a member of the group for which it had the highest membership probability <italic>Q</italic>). To maintain consistency with other studies in corals (<xref ref-type="bibr" rid="B15">Carlon and Lipp&#x00E9;, 2011</xref>; <xref ref-type="bibr" rid="B100">Serrano et al., 2016</xref>), we defined an admixed individual as having a <italic>Q</italic> &#x003E; 0.1 for both clusters. These analyses indicate that, overall, 15% of individuals have an admixed ancestry (<xref ref-type="fig" rid="F1">Figure 1G</xref>), but proportionally there are more admixed individuals assigned to K<sub><italic>S</italic>2</sub> (24% of individuals) than to K<sub><italic>S</italic>1</sub> (11%). Ancestry cluster K<sub><italic>S</italic>1</sub> is dominant in DC673 (mean probability of membership at that site: <inline-formula><mml:math id="INEQ13"><mml:mover accent="true"><mml:mi>x</mml:mi><mml:mo stretchy="false">&#x00AF;</mml:mo></mml:mover></mml:math></inline-formula><sub><italic>QS</italic>1</sub> = 0.97), KC405 (<inline-formula><mml:math id="INEQ14"><mml:mover accent="true"><mml:mi>x</mml:mi><mml:mo stretchy="false">&#x00AF;</mml:mo></mml:mover></mml:math></inline-formula><sub><italic>QS</italic>1</sub> = 0.98) and MC344 (<inline-formula><mml:math id="INEQ15"><mml:mover accent="true"><mml:mi>x</mml:mi><mml:mo stretchy="false">&#x00AF;</mml:mo></mml:mover></mml:math></inline-formula><sub><italic>QS</italic>1</sub> = 0.79), whereas K<sub><italic>S</italic>2</sub> is dominant in MC294 (<inline-formula><mml:math id="INEQ16"><mml:mover accent="true"><mml:mi>x</mml:mi><mml:mo stretchy="false">&#x00AF;</mml:mo></mml:mover></mml:math></inline-formula><sub><italic>QS</italic>2</sub> = 0.88), GC852 (<inline-formula><mml:math id="INEQ17"><mml:mover accent="true"><mml:mi>x</mml:mi><mml:mo stretchy="false">&#x00AF;</mml:mo></mml:mover></mml:math></inline-formula><sub><italic>QS</italic>2</sub> = 0.65), and MC297 (<inline-formula><mml:math id="INEQ18"><mml:mover accent="true"><mml:mi>x</mml:mi><mml:mo stretchy="false">&#x00AF;</mml:mo></mml:mover></mml:math></inline-formula><sub><italic>QS</italic>2</sub> = 0.52).</p>
<p>Pairwise F<sub>ST</sub> (<xref ref-type="bibr" rid="B110">Weir and Cockerham, 1984</xref>) statistics among sites were consistent with the DAPC and STRUCTURE results showing greatest differentiation among sites with a majority of individuals assigned to different K clusters, and lowest among sites with a majority of individuals assigned to the same K cluster (<xref ref-type="fig" rid="F1">Figure 1H</xref>). The AMOVA analysis indicated that 11.4% of the observed genetic variation could be attributed to differences among individuals (F<sub><italic>IS</italic></sub> = 0.117, <italic>p</italic> = 0.001), 0.3% to differences among sites (F<sub><italic>SC</italic></sub> = 0.003, <italic>p</italic> = 0.001) and 1.8% to differences between DAPC clusters K<sub><italic>D</italic>1</sub> and K<sub><italic>D</italic>2</sub> (F<sub><italic>CT</italic></sub> = 0.018, <italic>p</italic> = 0.001).</p>
</sec>
<sec id="S3.SS3">
<title>Redundancy Analyses</title>
<p>Site-level RDA failed to detect a significant correlation (&#x03B1; = 0.05) between geographic distance (as dbMEM eigenvectors) and genetic differentiation, thus rejecting the hypothesis of isolation by distance.</p>
<p>Of the environmental variables, we excluded bottom temperature and salinity from the individual-level dbRDA as the ranges of these parameters across the study sites were too small to be biologically important (4.21&#x2013;4.84&#x00B0;C, and 34.95 and 35.10 PSU). Mean surface primary productivity (retained for dbRDA) was significantly correlated with its standard deviation and latitude and mean and standard deviation of surface chlorophyll concentration. Depth (retained) was significantly correlated with bottom seawater potential density (&#x03C3;<sub>&#x03B8;</sub>). Mean bottom oxygen concentration (retained), longitude (retained), and mean bottom current speed (retained) were not significantly correlated with any other environmental variable.</p>
<p>We incorporated depth, mean bottom dissolved oxygen concentration, mean surface primary productivity, longitude, and mean bottom current speed into an initial dbRDA model as these were the only significant independent variables identified by forward selection (ANOVA, <italic>p</italic>-values &#x003C; 0.05). These variables significantly contributed to the model, except for mean bottom current speed (ANOVA, <italic>p</italic>-value &#x003E; 0.01), which was subsequently excluded.</p>
<p>Globally, the percentage of the genetic variation explained by environmental variables was 7.37% (<xref ref-type="table" rid="T2">Table 2</xref>). Depth [collinear with bottom seawater potential density (&#x03C3;<sub>&#x03B8;</sub>)] had the largest effect (explaining 3.8% of the variance), followed by mean bottom oxygen concentration (2.0%), mean surface primary productivity (collinear with six other variables, see above) (1.8%), and longitude (1.1%). The combined effect of depth and density is evident in the dbRDA plots (<xref ref-type="fig" rid="F3">Figure 3</xref>). dbRDA axes are linear combinations of the environmental variables. dbRDA axis 1, which explains 52.5% of the variation, broadly splits individuals belonging to different DAPC clusters. This differentiation is primarily driven by depth as indicated by the environmental variables vectors and suggested in <xref ref-type="fig" rid="F1">Figures 1E,F</xref>.</p>
<table-wrap position="float" id="T2">
<label>TABLE 2</label>
<caption><p>Environmental variables tested in the dbRDA.</p></caption>
<table cellspacing="5" cellpadding="5" frame="hsides" rules="groups">
<thead>
<tr>
<td/>
<td valign="top" align="center" colspan="3">Variance partition<hr/></td>
<td valign="top" align="center" colspan="3">ANOVA<hr/></td>
</tr>
<tr>
<td valign="top" align="left">Variable</td>
<td valign="top" align="center">Df</td>
<td valign="top" align="center"><italic>R</italic><sup>2</sup></td>
<td valign="top" align="center">Adjusted <italic>R</italic><sup>2</sup></td>
<td valign="top" align="center">Variance</td>
<td valign="top" align="center"><italic>F</italic></td>
<td valign="top" align="center">Pr(&#x003E; F)</td>
</tr>
</thead>
<tbody>
<tr>
<td valign="top" align="left">Depth</td>
<td valign="top" align="center">1</td>
<td valign="top" align="center">0.0453</td>
<td valign="top" align="center">0.0380</td>
<td valign="top" align="center">73.60</td>
<td valign="top" align="center">2.6038</td>
<td valign="top" align="center">0.0010</td>
</tr>
<tr>
<td valign="top" align="left">Bottom dissolved O<sub>2</sub> concentration</td>
<td valign="top" align="center">1</td>
<td valign="top" align="center">0.0274</td>
<td valign="top" align="center">0.0200</td>
<td valign="top" align="center">41.40</td>
<td valign="top" align="center">1.4627</td>
<td valign="top" align="center">0.0050</td>
</tr>
<tr>
<td valign="top" align="left">Mean surface primary productivity</td>
<td valign="top" align="center">1</td>
<td valign="top" align="center">0.0252</td>
<td valign="top" align="center">0.0178</td>
<td valign="top" align="center">43.40</td>
<td valign="top" align="center">1.5337</td>
<td valign="top" align="center">0.0010</td>
</tr>
<tr>
<td valign="top" align="left">Longitude</td>
<td valign="top" align="center">1</td>
<td valign="top" align="center">0.0186</td>
<td valign="top" align="center">0.0111</td>
<td valign="top" align="center">51.00</td>
<td valign="top" align="center">1.8033</td>
<td valign="top" align="center">0.0010</td>
</tr>
<tr>
<td valign="top" align="left">All (global)</td>
<td valign="top" align="center">4</td>
<td valign="top" align="center">0.1017</td>
<td valign="top" align="center">0.0737</td>
<td valign="top" align="center">273.10</td>
<td valign="top" align="center">2.4138</td>
<td valign="top" align="center">0.0010</td>
</tr>
</tbody>
</table>
<table-wrap-foot>
<fn><p><italic>Df, degrees of freedom; R, correlation coefficient; F, F-statistic; Pr, probability.</italic></p></fn>
</table-wrap-foot>
</table-wrap>
<fig id="F3" position="float">
<label>FIGURE 3</label>
<caption><p>Diplots of distance-based Redundancy Analysis (rbRDA) of environmental (explanatory) and genetic (response) variables. Green vectors represent environmental variables: depth, bottom dissolved oxygen concentration (O<sub>2</sub>), surface primary productivity (PP), and longitude (Lon). The length of each vector is proportional to its contribution to each axis. rbRDA axes are linear combinations of the environmental variables. Dots represent individual corals. Individuals are color-coded by <bold>(A&#x2013;C)</bold> sampling site and <bold>(D&#x2013;F)</bold> DAPC cluster assignment.</p></caption>
<graphic mimetype="image" mime-subtype="tiff" xlink:href="fmars-08-790929-g003.tif"/>
</fig>
</sec>
</sec>
<sec id="S4" sec-type="discussion">
<title>Discussion</title>
<sec id="S4.SS1">
<title>Population Connectivity: Scale, Rate, and Directionality</title>
<p>Larval dispersal simulations in the study area show a prevailing westward pathway of dispersal along isobaths in the 1,000&#x2013;2,000 m range in all seasons (<xref ref-type="bibr" rid="B64">Liu et al., 2021</xref>). Long-distance dispersal (more than 100 km) driven by strong deep recirculation currents (<xref ref-type="bibr" rid="B12">Bracco et al., 2016</xref>) may occur for larvae originating in the DeSoto Canyon area (DC673) (<xref ref-type="bibr" rid="B64">Liu et al., 2021</xref>). These larvae can reach the Mississippi Canyon area in less than 2 months (<xref ref-type="bibr" rid="B64">Liu et al., 2021</xref>), thus explaining the source-sink dynamics identified between these sites by migration rate estimates (<italic>m)</italic> from genetic data (<xref ref-type="fig" rid="F2">Figure 2</xref>). These source-sink dynamics are highly depth-dependent. Our estimates suggest that 15&#x2013;27% of individuals at MC344 (1,852 m) likely immigrated from the De Soto Canyon area (DC673, 2,254 m) within the last one or two generations. For MC297 (1,577 m), 3&#x2013;15% are likely immigrants from DC673, and less than 8% for MC294 (1,371 m). The limiting effect of depth on vertical connectivity is most striking within the Mississippi Canyon (<xref ref-type="fig" rid="F2">Figure 2</xref>), where we found no evidence of substantial gene flow among sites. The limited amount of vertical diapycnal mixing possible over the short horizontal distances that separate them (tens of kilometers, see the following section for further discussion on the role of depth) may explain the limited 3D connectivity among these sites (<xref ref-type="bibr" rid="B13">Bracco et al., 2019</xref>; <xref ref-type="bibr" rid="B64">Liu et al., 2021</xref>).</p>
<p>Our analyses indicate that the population of <italic>P. biscaya</italic> at DC673 should be a conservation priority to restore the impacted populations at MC344 and MC297. Additional sampling and modeling throughout <italic>P. biscaya&#x2019;s</italic> depth range (1,000&#x2013;2,600 m) in the DeSoto Canyon and West Florida Escarpment are necessary to fully understand the role of this region as a source of larvae for DWH impacted populations in the Mississippi Canyon and identify other sites in need of protection.</p>
<p>Larval dispersal models predict that larvae originating from the Keathley Canyon area (KC405) can disperse the furthest (maximum horizontal distances 154 and 426 km after 56 and 148 days, respectively, <xref ref-type="bibr" rid="B64">Liu et al., 2021</xref>). The highly variable currents that characterize this area can explain this potential for long-distance dispersal (<xref ref-type="bibr" rid="B64">Liu et al., 2021</xref>). However, these models fail to predict the degree of direct genetic connectivity estimated between KC405 and DC673 (<xref ref-type="fig" rid="F2">Figure 2</xref>). Similarly, the relative importance of the Green Canyon site GC852 as a source of larvae to the Mississippi Canyon area, indicated by the migration rate estimates, is not consistent with the connectivity probabilities estimated by the numerical larval simulations (<xref ref-type="bibr" rid="B64">Liu et al., 2021</xref>). The dispersal distances for larvae out of GC852 do not seem to exceed 100 km after 56 days (400 km after 148 days) (<xref ref-type="bibr" rid="B64">Liu et al., 2021</xref>). Thus no direct connectivity is predicted between the Green Canyon and Mississippi canyon sites separated by more than 300 km. Additional factors that may contribute to some of the inconsistencies between migration rates and connectivity probabilities include potential violations to the underlying assumptions of the larval dispersal (<xref ref-type="bibr" rid="B64">Liu et al., 2021</xref>), and the population genetic models. For example, the migration rate estimates calculated by BayesAss are most accurate and precise when true migration rates among populations are moderate (<italic>m</italic> &#x003C; 0.333), population structuring is significant and sampling of individuals and loci is substantial (<xref ref-type="bibr" rid="B32">Faubet et al., 2007</xref>; <xref ref-type="bibr" rid="B69">Meirmans, 2014</xref>).</p>
<p>The patterns of genetic connectivity between KC405 and DC673, and GC852 and the Mississippi Canyon sites cannot be explained by larval dispersal modfels unless intermediate populations that act as stepping stones are included in the simulations (<xref ref-type="bibr" rid="B64">Liu et al., 2021</xref>) when the role of interannual variability is accounted for by using the advection pathways predicted by HYCOM data. Additional targeted exploration and sampling, informed by habitat suitability (<xref ref-type="bibr" rid="B40">Georgian et al., 2020</xref>) and dispersal models (<xref ref-type="bibr" rid="B64">Liu et al., 2021</xref>), are necessary to test this connectivity hypothesis and clarify the role of western populations in the restoration of DWH impacted populations.</p>
</sec>
<sec id="S4.SS2">
<title>Metapopulation Structuring by Depth</title>
<p>All of our analyses support the existence of two clusters or &#x201C;stocks&#x201D; of <italic>Paramuricea biscaya</italic> in our samples, both of which were impacted by the DWH oil spill. Previous studies sequenced mitochondrial DNA of <italic>P. biscaya</italic> (<italic>mtCOI</italic> + <italic>igr</italic> + <italic>MutS</italic>) and recovered three haplotypes of <italic>P. biscaya</italic> (B1, B1a, B2) in the northern Gulf of Mexico (<xref ref-type="bibr" rid="B24">Doughty et al., 2014</xref>; <xref ref-type="bibr" rid="B87">Quattrini et al., 2014</xref>; <xref ref-type="bibr" rid="B91">Radice et al., 2016</xref>). We found that mitochondrial haplotypes bear no direct correspondence with the genomic clusters (<xref ref-type="supplementary-material" rid="DS1">Supplementary Figure 3</xref>). Mitochondrial markers are well known for lacking sufficient variability at low taxonomic levels in octocorals and are subject to incomplete lineage sorting (<xref ref-type="bibr" rid="B78">Pante et al., 2015</xref>; <xref ref-type="bibr" rid="B49">Herrera and Shank, 2016</xref>; <xref ref-type="bibr" rid="B89">Quattrini et al., 2019</xref>). We suggest that mitochondrial DNA barcoding data should not be used to resolve differences at the population level, especially in the context of management and restoration, and in many cases at the species level, as it could lead to incorrect interpretations and inadequate policy decisions.</p>
<p>Geographic distance is not a significant variable structuring the genetic diversity of <italic>P. biscaya</italic> within the GoM. Despite only being separated by tens of kilometers, the populations in the Mississippi Canyon impacted by the DWH oil spill (MC294, MC297, and MC344) have distinct genetic compositions (<xref ref-type="fig" rid="F1">Figure 1</xref>). The population&#x2019;s genetic composition at MC344 is most similar to those found at the DeSoto Canyon (DC673) and Keathley Canyon (KC405), hundreds of kilometers away. Consistent with results from previous studies of deep-sea populations (<xref ref-type="bibr" rid="B104">Taylor and Roterman, 2017</xref>), depth is a critical variable structuring the genetic diversity of <italic>P. biscaya.</italic> MC344 is the deepest of the three sites at the Mississippi Canyon (MC294: 1,371 m, MC297: 1,577 m, and MC344: 1,852 m), and its population is mainly composed of individuals whose ancestry is predominantly from the first cluster K<sub><italic>D</italic>1</sub> [83%; the other deep sites DC673 (2,254 m) and KC405 (1,679 m) are also almost entirely made up of individuals with K<sub><italic>D</italic>1</sub> ancestry]. MC294, the shallowest, has a population whose ancestry is mainly from the second cluster, K<sub><italic>D</italic>2</sub> (93%). MC297 sits at an intermediate depth and has a population of mixed ancestry, split roughly in half.</p>
<p>Seascape genomic analyses provide statistical support for the role of depth. The combined effect of depth and bottom seawater potential density (&#x03C3;<sub>&#x03B8;</sub>) contributes the most toward explaining the genetic variability in <italic>P. biscaya</italic> among the environmental variables explored in this study (<xref ref-type="fig" rid="F3">Figure 3</xref> and <xref ref-type="table" rid="T2">Table 2</xref>). Among the environmental variables known to show collinearity with depth, hydrostatic pressure may be the most biologically important for <italic>Paramuricea biscaya</italic>. Hydrostatic pressure increases linearly with depth (at a rate of roughly 1 atmosphere every 10 m). Other variables, such as dissolved oxygen concentration, pH, temperature, and salinity, do not vary sufficiently within the depth and geographical range of the examined populations in the study area to exert any significant adaptive pressure that could drive diversification. Several studies have suggested that pressure can be a significant selective force in the deep sea, often driving the evolution of pressure-adapted enzymes and other biomolecules (<xref ref-type="bibr" rid="B103">Somero, 1992</xref>; <xref ref-type="bibr" rid="B58">Lan et al., 2017</xref>, <xref ref-type="bibr" rid="B59">2018</xref>; <xref ref-type="bibr" rid="B36">Gaither et al., 2018</xref>; <xref ref-type="bibr" rid="B61">Lemaire et al., 2018</xref>; <xref ref-type="bibr" rid="B39">Gan et al., 2020</xref>; <xref ref-type="bibr" rid="B109">Weber et al., 2020</xref>).</p>
<p>Another potentially important variable known to be collinear with depth is the flux of particulate organic matter from the surface ocean to the seafloor (POC flux). POC is the primary food source for most deep-sea organisms, and it is known to structure biodiversity patterns on the benthos (<xref ref-type="bibr" rid="B114">Woolley et al., 2016</xref>). POC flux decreases exponentially with depth (<xref ref-type="bibr" rid="B66">Martin et al., 1987</xref>; <xref ref-type="bibr" rid="B72">Mouw et al., 2016</xref>) and could therefore be a significant selective force (<xref ref-type="bibr" rid="B88">Quattrini et al., 2017</xref>) and a major driver of biodiversity patterns in the deep sea. However, POC accumulates on the seafloor, where it can be resuspended through the interaction of bottom currents and complex topography (<xref ref-type="bibr" rid="B112">Wilson et al., 2015</xref>; <xref ref-type="bibr" rid="B2">Amaro et al., 2016</xref>). The role of POC resuspension is uncertain given the diversity of habitats where <italic>P. biscaya</italic> is found, from carbonate outcrops (e.g., GC852 and MC sites) to near-vertical walls (DC673, KC405). Furthermore, episodical delivery episodes of POC are challenging to incorporate in models but are likely biologically important (<xref ref-type="bibr" rid="B102">Smith et al., 2018</xref>). <italic>In situ</italic> measurements would be needed to quantify differences in food delivery at these sites. Although chlorophyll-a concentrations, sea surface temperature, and photosynthetically active radiation are used to model net primary productivity (<xref ref-type="bibr" rid="B6">Behrenfeld and Falkowski, 1997</xref>) and POC fluxes (<xref ref-type="bibr" rid="B76">Pace et al., 1987</xref>), their relationship is not always predictable. In the northern Gulf of Mexico, confounding factors such as planktonic community composition can cause discrepancies between modeled and <italic>in situ</italic> POC flux measurements (<xref ref-type="bibr" rid="B10">Biggs et al., 2008</xref>; <xref ref-type="bibr" rid="B65">Maiti et al., 2016</xref>).</p>
<p>Bottom seawater potential density (&#x03C3;<sub>&#x03B8;</sub>) could play an important role if larvae behave as neutrally buoyant particles dispersing along isopycnals as suggested for other deep-sea corals and sponge species (<xref ref-type="bibr" rid="B27">Dullo et al., 2008</xref>; <xref ref-type="bibr" rid="B56">Kenchington et al., 2017</xref>; <xref ref-type="bibr" rid="B13">Bracco et al., 2019</xref>; <xref ref-type="bibr" rid="B95">Roberts et al., 2021</xref>). Larval dispersal along narrow density envelopes associated with water mass structuring may serve as a mechanism for increasing reproductive success and gene flow among deep-sea metapopulations of species with neutrally buoyant larvae while simultaneously facilitating pre-zygotic isolation by limiting dispersal across depth (<xref ref-type="bibr" rid="B71">Miller et al., 2011</xref>). The results from our potential connectivity analyses further suggest that the ocean circulation, and specifically the limited diapycnal mixing, may prevent neutrally-buoyant larvae from spreading across depth ranges.</p>
<p>Remarkably, all sampled sites, except for DC673, have a proportion of individuals with admixed ancestry, suggestive of successful crosses beyond F1 or F2 generations among clusters (<xref ref-type="fig" rid="F1">Figure 1</xref>). This could be indicative of an absence of post-zygotic isolation barriers between clusters. There are two possible explanations for this pattern: incipient sympatric speciation or secondary contact. Incipient sympatric ecological speciation through niche specialization is a possible driver of the observed pattern of population structuring (<xref ref-type="bibr" rid="B42">Gonz&#x00E1;lez et al., 2018</xref>). Due to the relative environmental stability at the depth range of <italic>P. biscaya</italic>, it is plausible that specialization to pressure and food gradients would occur over the species&#x2019; depth range and be reinforced by density-driven dispersal limitation. Alternatively, secondary contact could occur by recent colonization of the GoM by a <italic>P. biscaya</italic> lineage from the Caribbean Sea or the Atlantic Ocean. Differentiating between the two possibilities would require a combination of demographic modeling and additional sampling throughout the range of <italic>P. biscaya</italic>, i.e., not limited to the GoM.</p>
<p>The presence of these two genetic stocks should be taken into consideration for restoration activities that involve propagation in nurseries and transplantation (<xref ref-type="bibr" rid="B5">Baums et al., 2019</xref>). The possibility that the stocks are partially reproductively isolated and depth-adapted suggests that receiving populations would benefit most from transplants from populations to which they are already genetically connected.</p>
</sec>
</sec>
<sec id="S5" sec-type="conclusion">
<title>Conclusion</title>
<p>In this study, we found support from population genomic analyses and larval dispersal modeling for the hypothesis that the <italic>P. biscaya</italic> metapopulation in the northern GoM is predominantly structured by depth, and to a lesser degree, by distance. Further, both lines of evidence (genetic and modeling) support the hypothesis that larval dispersal among connected populations is asymmetric due to dominant ocean circulation patterns. Utilizing a seascape genomic approach brought a more holistic understanding of the population connectivity of this species than either population genetics or modeling could on its own. There are likely intermediate unsampled populations that serve as stepping stones for dispersal. These may explain some of the observed genetic connectivity that could not be explained as direct dispersal by larval simulations. Although dispersal and connectivity patterns of organisms are highly species-dependent, the integrative framework of this study provides valuable insights to understand the connectivity of deep-sea metacommunities broadly (<xref ref-type="bibr" rid="B73">Mullineaux et al., 2018</xref>).</p>
<p>This study further illustrates that management of marine protected areas (MPAs) should incorporate connectivity networks and depth-dependent processes throughout the water column. Doing so could help preserve genetic diversity and increase species resilience to extreme climate events and anthropogenic impacts. We suggest that the DeSoto Canyon area, and possibly the West Florida Escarpment, critically act as sources of larvae that may repopulate areas impacted by the 2010 Deepwater Horizon oil spill in the Mississippi Canyon. Active management of these source sites is essential to the success of restoration efforts.</p>
</sec>
<sec id="S6" sec-type="data-availability">
<title>Data Availability Statement</title>
<p>Coral samples are housed in the Herrera Lab at Lehigh University. Raw RAD-seq sequence data is available at the NCBI SRA database under BioProject number PRJNA766840. COI barcodes have been submitted to NCBI: MT795490 to MT795554. The SNP datasets, environmental matrix and individual sampling information have been deposited at FigShare <ext-link ext-link-type="uri" xlink:href="https://doi.org/10.6084/m9.figshare.16692229.v4">https://doi.org/10.6084/m9.figshare.16692229.v4</ext-link>.</p>
</sec>
<sec id="S7">
<title>Author Contributions</title>
<p>SH, AQ, and AB designed the research. SH led the field work and project management. SH, MG, DW, AB, and GL performed the research. SH, MG, AB, and GL analyzed the data. SH wrote the manuscript with contributions from MG, AB, GL, and AQ. All authors contributed to the article and approved the submitted version.</p>
</sec>
<sec id="conf1" sec-type="COI-statement">
<title>Conflict of Interest</title>
<p>The authors declare that the research was conducted in the absence of any commercial or financial relationships that could be construed as a potential conflict of interest.</p>
</sec>
<sec id="pudiscl1" sec-type="disclaimer">
<title>Publisher&#x2019;s Note</title>
<p>All claims expressed in this article are solely those of the authors and do not necessarily represent those of their affiliated organizations, or those of the publisher, the editors and the reviewers. Any product that may be evaluated in this article, or claim that may be made by its manufacturer, is not guaranteed or endorsed by the publisher.</p>
</sec>
</body>
<back>
<sec id="S8" sec-type="funding-information">
<title>Funding</title>
<p>Funding support for this project was provided by the National Oceanic and Atmospheric Administration&#x2019;s RESTORE Science Program award NA17NOS4510096 to Lehigh University (SH, AB, and AQ co-PIs). Sampling was supplemented by previous sampling efforts under the Lophelia II Project funded by BOEM and NOAA-OER (BOEM contract #M08PC20038) led by TDI-Brooks International, the NSF RAPID Program (Award #1045079), the NOAA Damage Assessment, Response, and Restoration Program, and ECOGIG (Gulf of Mexico Research Initiative). DW was supported by the Howard Hughes Medical Institute Bioscience Education grant to Lehigh University (N. G. Simon and V. C. Ware, Directors). KE was supported via a Rasmussen Summer Research Fund at Harvey Mudd College.</p>
</sec>
<ack>
<p>We thank Chuck Fisher, Erik Cordes, Illiana Baums for leading supplemental field efforts and providing access to samples and dive time. We thank Matthew Potti and Michael Coyne for providing access to HYCOM and oxygen grids. We would also like to thank Sam Vohsen, Alexis Weinnig, Janessy Frometa, Fanny Girard, Amanda Glazier, Amanda Demopoulos, and the crew of expeditions. We would also like to thank Alondra Maldonado for her help with DNA purifications, and Dan Fornari and Peter Etnoyer for assisting with field logistics. We thank Cathy McFadden, Cheryl Morrison, and Frank Parker for project support.</p>
</ack>
<sec id="S10" sec-type="supplementary-material">
<title>Supplementary Material</title>
<p>The Supplementary Material for this article can be found online at: <ext-link ext-link-type="uri" xlink:href="https://www.frontiersin.org/articles/10.3389/fmars.2021.790929/full#supplementary-material">https://www.frontiersin.org/articles/10.3389/fmars.2021.790929/full#supplementary-material</ext-link></p>
<supplementary-material xlink:href="Data_Sheet_1.pdf" id="DS1" mimetype="application/pdf" xmlns:xlink="http://www.w3.org/1999/xlink"/>
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