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<front>
<journal-meta>
<journal-id journal-id-type="publisher-id">Front. Plant Sci.</journal-id>
<journal-title>Frontiers in Plant Science</journal-title>
<abbrev-journal-title abbrev-type="pubmed">Front. Plant Sci.</abbrev-journal-title>
<issn pub-type="epub">1664-462X</issn>
<publisher>
<publisher-name>Frontiers Media S.A.</publisher-name>
</publisher>
</journal-meta>
<article-meta>
<article-id pub-id-type="doi">10.3389/fpls.2018.00414</article-id>
<article-categories>
<subj-group subj-group-type="heading">
<subject>Plant Science</subject>
<subj-group>
<subject>Original Research</subject>
</subj-group>
</subj-group>
</article-categories>
<title-group>
<article-title>Species Boundaries Between Three Sympatric Oak Species: <italic>Quercus aliena, Q. dentata</italic>, and <italic>Q. variabilis</italic> at the Northern Edge of Their Distribution in China</article-title>
</title-group>
<contrib-group>
<contrib contrib-type="author">
<name><surname>Lyu</surname> <given-names>Jia</given-names></name>
</contrib>
<contrib contrib-type="author">
<name><surname>Song</surname> <given-names>Jia</given-names></name>
</contrib>
<contrib contrib-type="author">
<name><surname>Liu</surname> <given-names>Yuan</given-names></name>
</contrib>
<contrib contrib-type="author">
<name><surname>Wang</surname> <given-names>Yuyao</given-names></name>
</contrib>
<contrib contrib-type="author">
<name><surname>Li</surname> <given-names>Junqing</given-names></name>
</contrib>
<contrib contrib-type="author" corresp="yes">
<name><surname>Du</surname> <given-names>Fang K.</given-names></name>
<xref ref-type="corresp" rid="c001"><sup>&#x0002A;</sup></xref>
<uri xlink:href="http://loop.frontiersin.org/people/489040/overview"/>
</contrib>
</contrib-group>
<aff><institution>Molecular Ecology Lab, College of Forestry, Beijing Forestry University</institution>, <addr-line>Beijing</addr-line>, <country>China</country></aff>
<author-notes>
<fn fn-type="edited-by"><p>Edited by: Jordi L&#x000F3;pez-Pujol, Consejo Superior de Investigaciones Cient&#x000ED;ficas (CSIC), Spain</p></fn>
<fn fn-type="edited-by"><p>Reviewed by: Saneyoshi Ueno, Forestry and Forest Products Research Institute, Japan; Nakatada Wachi, University of the Ryukyus, Japan; Zhi-Yong Zhang, Jiangxi Agricultural University, China</p></fn>
<corresp id="c001">&#x0002A;Correspondence: Fang K. Du <email>dufang325&#x00040;bjfu.edu.cn</email></corresp>
<fn fn-type="other" id="fn002"><p>This article was submitted to Evolutionary and Population Genetics, a section of the journal Frontiers in Plant Science</p></fn></author-notes>
<pub-date pub-type="epub">
<day>29</day>
<month>03</month>
<year>2018</year>
</pub-date>
<pub-date pub-type="collection">
<year>2018</year>
</pub-date>
<volume>9</volume>
<elocation-id>414</elocation-id>
<history>
<date date-type="received">
<day>18</day>
<month>10</month>
<year>2017</year>
</date>
<date date-type="accepted">
<day>14</day>
<month>03</month>
<year>2018</year>
</date>
</history>
<permissions>
<copyright-statement>Copyright &#x000A9; 2018 Lyu, Song, Liu, Wang, Li and Du.</copyright-statement>
<copyright-year>2018</copyright-year>
<copyright-holder>Lyu, Song, Liu, Wang, Li and Du</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 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>Oaks are important timber trees with wide distributions in China, but few genetic studies have been conducted on a fine scale. In this study, we seek to investigate the genetic diversity and differentiation of three sympatric oak species (<italic>Quercus aliena</italic> Blume, <italic>Quercus dentata</italic> Thunb. ex Murray, and <italic>Quercus variabilis</italic> Blume) in their northern distribution in China using 17 bi-parentally inherited nSSRs markers and five maternally inherited chloroplast DNA (cpDNA) fragments. Both the cpDNA and the nSSRs show a high level of genetic differentiation between different oak sections. The chloroplast haplotypes are clustered into two lineages. Clear species boundaries are detected between <italic>Q. variabilis</italic> and either <italic>Q. aliena</italic> or <italic>Q. dentata</italic>. The sharing of chloroplast haplotype H1 between <italic>Q. aliena</italic> and <italic>Q. dentata</italic> suggests very recent speciation and incomplete lineage sorting or introgression of H1 from one species to another. The nSSRs data indicate a complete fixation of variation within sites for all three oak species, and that extensive gene flow occurs within species whereas only limited gene flow is detected between <italic>Q. aliena</italic> and <italic>Q. dentata</italic> and nearly no gene flow can be detected between <italic>Q. aliena</italic> and <italic>Q. variabilis</italic> and between <italic>Q. dentata</italic> and <italic>Q. variabilis</italic>. Prezygotic isolation may have contributed to the species boundaries of these three sympatric oak species.</p></abstract>
<kwd-group>
<kwd><italic>Quercus</italic></kwd>
<kwd>cpDNA</kwd>
<kwd>nSSRs</kwd>
<kwd>gene flow</kwd>
<kwd>fine scale</kwd>
</kwd-group>
<counts>
<fig-count count="4"/>
<table-count count="4"/>
<equation-count count="0"/>
<ref-count count="73"/>
<page-count count="12"/>
<word-count count="8654"/>
</counts>
</article-meta>
</front>
<body>
<sec sec-type="intro" id="s1">
<title>Introduction</title>
<p>Transfer of genetic material across closely related species is common, especially in coexisting taxa (Rieseberg and Wendel, <xref ref-type="bibr" rid="B53">1993</xref>; Arnold, <xref ref-type="bibr" rid="B2">1997</xref>; Rieseberg et al., <xref ref-type="bibr" rid="B54">2006</xref>; Kim et al., <xref ref-type="bibr" rid="B32">2008</xref>). Hence, resolving the amount and extent of species boundaries between closely related species is often challenging. In recent years DNA sequence analysis has been widely employed to examine the relationship between genetic variation and traditional morphological boundaries among closely related species (e.g., Jaramillo-Correa et al., <xref ref-type="bibr" rid="B29">2008</xref>; Du et al., <xref ref-type="bibr" rid="B15">2011</xref> for gymnosperm-conifers; Arnold et al., <xref ref-type="bibr" rid="B3">2012</xref>; Eaton et al., <xref ref-type="bibr" rid="B19">2015</xref> for angiosperms). These studies show that molecular polymorphisms for neutral markers are often widely shared between closely related species, and that fixed genetic differences may vary because of the genomes or genes studied (Petit and Excoffier, <xref ref-type="bibr" rid="B49">2009</xref>).</p>
<p>Population genetics studies on oaks using nuclear DNA markers have shown that these species tend to have high levels of within-population genetic variation and generally low variation among populations because they are highly crossing and wind-pollinated long-lived forest trees (Hamrick and Godt, <xref ref-type="bibr" rid="B25">1989</xref>; Kremer and Petit, <xref ref-type="bibr" rid="B34">1993</xref>; Starck et al., <xref ref-type="bibr" rid="B60">1993</xref>; Quang et al., <xref ref-type="bibr" rid="B52">2008</xref>). Oaks are known to have a propensity for interspecific hybridization. Gene flow and introgression have been intensely studied in natural populations across Europe (e.g., Dumolin-Lap&#x000E8;gue et al., <xref ref-type="bibr" rid="B16">1999</xref>; Petit et al., <xref ref-type="bibr" rid="B47">2002</xref>; Curtu et al., <xref ref-type="bibr" rid="B11">2007</xref>; Salvini et al., <xref ref-type="bibr" rid="B55">2009</xref>; Chybicki et al., <xref ref-type="bibr" rid="B10">2012</xref>; Antonecchia et al., <xref ref-type="bibr" rid="B1">2015</xref>; Fortini et al., <xref ref-type="bibr" rid="B22">2015</xref>) and North America (e.g., Whittemore and Schaal, <xref ref-type="bibr" rid="B67">1991</xref>; Dodd and Afzal-Rafii, <xref ref-type="bibr" rid="B12">2004</xref>; Pe&#x000F1;aloza-Ram&#x000ED;rez et al., <xref ref-type="bibr" rid="B46">2010</xref>; Moran et al., <xref ref-type="bibr" rid="B41">2012</xref>). Genetic studies on oak species indicate that hybridization and introgression between sympatric oaks occur frequently, even between morphologically and ecologically distinct ones (Whittemore and Schaal, <xref ref-type="bibr" rid="B67">1991</xref>; Dumolin-Lap&#x000E8;gue et al., <xref ref-type="bibr" rid="B16">1999</xref>; Petit et al., <xref ref-type="bibr" rid="B47">2002</xref>). Not only large scale studies, but also studies on a fine scale have verified the occurrence of interspecific gene flow and introgression among different oak species (Salvini et al., <xref ref-type="bibr" rid="B55">2009</xref>; Antonecchia et al., <xref ref-type="bibr" rid="B1">2015</xref>).</p>
<p>Compared to Europe and North America, studies on <italic>Quercus</italic> in Asia are limited but an increasing number of studies have been reported in recent years, especially those taking a molecular perspective. A number of genetic studies have focused on genetic diversity and variation in closely related oak species; examples of such investigations include analyses of the genetic diversity of natural populations of <italic>Q. mongolica</italic> Fisch. ex Ledeb. (Li et al., <xref ref-type="bibr" rid="B38">2003</xref>; Zhang et al., <xref ref-type="bibr" rid="B73">2007</xref>), genetic diversity and differentiation along altitudinal gradients in <italic>Q. crispula</italic> Blume growing in Japan (Ohsawa et al., <xref ref-type="bibr" rid="B42">2007</xref>), chloroplast polymorphism of <italic>Q. serrata</italic> Thunb. ex Murray, <italic>Q. mongolica</italic> Fisch. ex Ledeb. var. <italic>crispula</italic> (Blume) Ohashi, <italic>Quercus dentata</italic> Thunb. ex Murray, and <italic>Quercus aliena</italic> Blume in Japan, Korea, China, and Russia (Kanno et al., <xref ref-type="bibr" rid="B31">2004</xref>; Okaura et al., <xref ref-type="bibr" rid="B43">2007</xref>), geographic patterns of genetic variation in nuclear and chloroplast genomes of two related oaks (<italic>Q. aliena</italic> and <italic>Q. serrata</italic>) in Japan (San Jose-Maldia et al., <xref ref-type="bibr" rid="B56">2017</xref>), differentiation of three closely related Japanese oak species and detection of interspecific hybrids using AFLP markers (Matsumoto et al., <xref ref-type="bibr" rid="B39">2009</xref>) and exploring the species limits and dynamics of speciation in the two closely related Chinese oaks <italic>Q. mongolica</italic> and <italic>Q. liaotungensis</italic> Koidz. (Zeng et al., <xref ref-type="bibr" rid="B71">2010</xref>, <xref ref-type="bibr" rid="B72">2011</xref>). However, almost all the genetic studies carried out on <italic>Quercus</italic> in Asia have focused on genetic structure or phylogeography on a large scale; studies of gene flow on a fine scale have been relatively limited.</p>
<p>Various molecular markers have been used to investigate gene flow. Among them, nuclear microsatellite markers or Simple Sequence Repeats (nSSRs) which are bi-parentally inherited and transfer extensive gene flow through both pollen and seeds (Petit et al., <xref ref-type="bibr" rid="B48">2005</xref>) are one of the most popular sources of molecular markers used in population genetic studies because of co-dominant inheritance, high degree of polymorphism and relative ease of transfer between closely related species (Guichoux et al., <xref ref-type="bibr" rid="B23">2011a</xref>). The chloroplast markers show great capability for tracing long-term effects of hybridization and introgression in natural populations (Whittemore and Schaal, <xref ref-type="bibr" rid="B67">1991</xref>) as they are predominantly maternally inherited and transfer only limited gene flow via seeds in most angiosperm plants (Mogensen, <xref ref-type="bibr" rid="B40">1996</xref>).</p>
<p>In this study, we employed both bi-parentally inherited nSSRs markers and maternally inherited cpDNA fragments as molecular markers to estimate the genetic diversity and genetic differentiation of three sympatric oak species (<italic>Q. aliena, Q. dentate</italic>, and <italic>Quercus variabilis</italic> Blume), and gene flow among them in their northern distribution in China. All three oak species are widely distributed across China (Huang et al., <xref ref-type="bibr" rid="B27">1999</xref>) and Beijing Municipality is at the northern edge of their sympatric distribution. <italic>Quercus aliena</italic> and <italic>Q. dentata</italic> belong to the white oak section <italic>Quercus</italic> (Hubert et al., <xref ref-type="bibr" rid="B28">2014</xref>), and the two species differ mainly in leaf morphology (Supplementary Figure <xref ref-type="supplementary-material" rid="SM1">1</xref>): leaves of <italic>Q. aliena</italic> have 1&#x02013;1.3 cm petioles, while <italic>Q. dentata</italic> leaves have much shorter petioles (2&#x02013;5 mm), with densely grayish brown stellate tomentose on the abaxial surface and usually are very big (c. 10&#x02013;30 cm long, 6&#x02013;30 cm wide). <italic>Quercus variabilis</italic> belongs to section <italic>Cerris</italic> (Hubert et al., <xref ref-type="bibr" rid="B28">2014</xref>). Its leaves are ovate&#x02013;lanceolate to narrowly elliptic, glabrous, with a 1&#x02013;3 (&#x02212;5) cm petiole and spiniform teeth on the margin (Huang et al., <xref ref-type="bibr" rid="B27">1999</xref>, Supplementary Figure <xref ref-type="supplementary-material" rid="SM1">1</xref>). Like other oaks, all the three oak species are diploid outcrossing species with wind-pollination (Kremer et al., <xref ref-type="bibr" rid="B33">2007</xref>). The fine-scale study reported herein was conducted to address the following issues: (1) What are the levels of genetic diversity and genetic differentiation of the three oak species? (2) Is there any evidence for gene flow among these oak species? (3) If gene flow occurs, what is its scale and extent and what are the explanations for it?</p>
</sec>
<sec sec-type="materials and methods" id="s2">
<title>Materials and methods</title>
<sec>
<title>Study site and sample collection</title>
<p>Three sympatric oak species: <italic>Q. aliena, Q. dentata</italic>, and <italic>Q. variabilis</italic> were studied in their northern distribution, at Shangfang Mountain located in the southwest of Beijing Municipality, P. R. China (115&#x000B0;48&#x02032;E, 39&#x000B0;39&#x02032;N). Shangfang Mountain is a branch of the Taihang Mountains with fold-thrust geological structures. It has a mean altitude of 400 m and a summit of over 880 m. The mountain slopes range from 20 to 70&#x000B0;, forming very steep terrain with dozens of valleys. Within this region, hundreds of ancient Taoist and Buddhist temples scatter throughout the forest, with the oldest one being dated back to the Eastern Wei period (535 AD). The forest here is a well-preserved secondary forest in north China covering an area of approximately 340 hectares. Tree species of Shangfang Mountain mainly belong to <italic>Quercus, Pinus</italic>, and <italic>Platycladus</italic> with <italic>Quercus</italic> including mostly <italic>Q. aliena, Q. dentata</italic>, and <italic>Q. variabilis</italic> and a limited number of &#x0003C;20 individuals of <italic>Q. mongolica</italic>.</p>
<p>Leaf material was collected from seven 50 by 50 m sites in this region (Figure <xref ref-type="fig" rid="F1">1</xref> and Supplementary Table <xref ref-type="supplementary-material" rid="SM1">1</xref>). The sites were selected for each species on the basis of site accessibility and sample availability. In general, two leaves were collected from each mature tree of each of the three oak species provided that they were at least five meters apart and stored in silica gel for further analysis. In total, 432 individuals were collected including 207 <italic>Q. aliena</italic> (six sites), 68 <italic>Q. dentata</italic> (three sites), 156 <italic>Q. variabilis</italic> (five sites) and only one individual with intermediate morphology between <italic>Q. aliena</italic> and <italic>Q. dentata</italic> (at site TK). The latitude, longitude, and altitude of each individual sampled were recorded by GPS (Garmin, USA).</p>
<fig id="F1" position="float">
<label>Figure 1</label>
<caption><p>Localization of Shangfang Mountain (the gray rectangle) on the map of Fangshan district in Beijing Municipality, P.R.China <bold>(A)</bold>. Localization and cpDNA structure of the three sympatric oaks <italic>Quercus aliena, Q. dentata</italic> and <italic>Q. variabilis</italic>. Circle sizes reflect the numbers of individuals genotyped (<italic>n</italic> &#x0003D; 29&#x02013;116). Triangles represent temples, village, caves and bridges in the sample sites. <bold>(B)</bold>. Localization and distribution of chloroplast haplotypes of <italic>Q. aliena</italic> <bold>(C)</bold>, <italic>Q. dentata</italic> <bold>(D)</bold>, <italic>Q. variabilis</italic> <bold>(E)</bold>. Inferred phylogenetic network of the seven cpDNA haplotypes found <bold>(F)</bold>. Each haplotype is represented by a circle whose size is proportional to its frequency across all species. Numbers in brackets on branches indicate the number of mutations separating haplotypes.</p></caption>
<graphic xlink:href="fpls-09-00414-g0001.tif"/>
</fig>
</sec>
<sec>
<title>DNA extraction</title>
<p>Genomic DNA was extracted from silica gel dried leaves using a plant genomic DNA kit (Tiangen Biotech, China) following the manufacturer&#x00027;s instructions. The quality of DNA was initially assessed by a 1.00% (w/v) agarose gel. Then, the quantity of DNA was measured by an ultramicro-spectrophotometer (Thermo Fisher, USA). Genomic DNA of each sample was adjusted to a final concentration of 20&#x02013;30 ng/&#x003BC;L for subsequent use.</p>
</sec>
<sec>
<title>Chloroplast DNA amplification and sequencing</title>
<p>For the chloroplast DNA (cpDNA) study, 14 individuals from the seven sites (at least one individual of each oak species present at each site) were initially used to identify polymorphisms with 13 pairs of universal primers described in Shaw et al. (<xref ref-type="bibr" rid="B58">2005</xref>, <xref ref-type="bibr" rid="B59">2007</xref>) and Du et al. (<xref ref-type="bibr" rid="B14">2017</xref>) (see Supplementary Table <xref ref-type="supplementary-material" rid="SM1">2</xref> for details). Five pairs of cpDNA primers (<italic>accD-psaI-75R, trnH-psbA, rpS12-rpL20, rpS16</italic>, and <italic>trnQ-trnS</italic>) that exhibited polymorphisms in this first scan were subsequently used to analyze all 432 individuals, out of which 343 individuals with high quality were taken forward for further investigation. Each polymerase chain reaction (PCR) amplification mixture contained 20 ng of genomic DNA, 67 mM Tris-HCL, 16 mM ammonium sulfate, 100 &#x003BC;M of each of the four dNTPs, 2 mM MgCl<sub>2</sub>, 1 ng of BSA, 0.2% mercaptoethanol, 0.2 &#x003BC;M of each primer, and 0.2 units of <italic>Taq</italic> polymerase (Tiangen Biotech, China). The amplification was carried out using 1 cycle of 3 min at 94&#x000B0;C, 35 cycles of 30 s at 94&#x000B0;C, 45 s at 50 to 55&#x000B0;C, 45 s at 72&#x000B0;C, and 1 cycle of 10 min at 72&#x000B0;C as modified by Du et al. (<xref ref-type="bibr" rid="B14">2017</xref>). The PCR products were visualized on 2% agarose gels. Templates were sequenced in the reverse direction with five reverse primers. Sequencing was performed using BigDye Terminator V 3.1 (Applied Biosystems, USA) following the manufacturer&#x00027;s instructions. Samples were run on an ABI 3130 Genetic Analyzer (Applied Biosystems, USA). Sequences were checked using Chromas V 2.2 and only those of high quality giving single peaks were used in subsequent analysis. DNA sequence alignment was carried out using Clustal W in MEGA V6.0 (Tamura et al., <xref ref-type="bibr" rid="B63">2013</xref>) with manual adjustments. Chloroplast sequences have been deposited in GenBank under the accession numbers of <ext-link ext-link-type="DDBJ/EMBL/GenBank" xlink:href="KY751544">KY751544</ext-link>-<ext-link ext-link-type="DDBJ/EMBL/GenBank" xlink:href="KY751561">KY751561</ext-link>.</p>
</sec>
<sec>
<title>nSSRs amplification</title>
<p>Twenty-seven nSSRs primers reported by Dow et al. (<xref ref-type="bibr" rid="B13">1995</xref>), Steinkellner et al. (<xref ref-type="bibr" rid="B61">1997</xref>), Kampfer et al. (<xref ref-type="bibr" rid="B30">1998</xref>), Ueno and Tsumura (<xref ref-type="bibr" rid="B66">2008</xref>), Ueno et al. (<xref ref-type="bibr" rid="B65">2008</xref>, <xref ref-type="bibr" rid="B64">2009</xref>), and Durand et al. (<xref ref-type="bibr" rid="B17">2010</xref>), were tested for their ability to identify polymorphic SSR (see Supplementary Table <xref ref-type="supplementary-material" rid="SM1">3</xref> for details). Each pair of primers was initially amplified for three individuals (one for each oak species), and the PCR products were visualized on 2% agarose gels. The successfully amplified templates were sequenced to confirm the existence of repeated motifs and to determine the numbers of repeats. Each primer revealing SSR motifs was then amplified for 12 individuals (four individuals for each oak species) to test for polymorphism in simplex PCR reactions using the M13-tail technique (Schuelke, <xref ref-type="bibr" rid="B57">2000</xref>). In brief, three primers were synthesized for each genotyping experiment: a 5&#x02032; M13-tailed forward primer, a reverse primer and a fluorescently labeled M13 primer carrying a FAM, HEX, TAMRA or ROX label (Sangon Biotech, China). The PCR reaction mixture contained 1 &#x000D7; Taq buffer, 0.2 mM dNTPs, 10&#x02013;20 ng template DNA, 1.6 pmol of the reverse primer, 1.6 pmol of a single fluorescently labeled M13 primer, 0.4 pmol of the forward primer and 1 U Taq polymerase (Tiangen Biotech, China). The following conditions were used for PCR amplification: 8 min initial denaturation at 95&#x000B0;C and followed by 30 cycles of 30 s denaturation at 95&#x000B0;C, a 30 s annealing step at 56&#x000B0;C, a 30 s elongation step at 72&#x000B0;C, and a final extension step at 72&#x000B0;C for 8 min as modified by Xu et al. (<xref ref-type="bibr" rid="B69">2013</xref>). nSSRs with a satisfactory number of alleles (&#x0003E;5) and good amplification quality were selected. In total, 19 pairs of nSSRs primers (GOT021, PIE227, FIR026, QmC00716, POR017, QmC00196, QmC00963, GOT011, MSQ13, FIR015, PIE163, WAG066, DN950726, Qmc00932, DN950446, Qmc02052, PIE271, WAG068, and CcC00063; see details in Supplementary Table <xref ref-type="supplementary-material" rid="SM1">3</xref>) were selected for genetic diversity analysis of all individuals. 0.5 &#x003BC;L samples of the PCR products obtained, combined with each of the four different fluorescently labeled primers, were added to 10 &#x003BC;L formamide and 0.5 &#x003BC;L of LIZ standard (Applied Biosystems, USA) and the mixture was analyzed using an ABI 3730 Prism Genetic Analyzer (Applied Biosystems, USA). Alleles were scored using the software GeneMarker V2.2 (Softgenetics, USA). Each genotype was checked by two readers, as described by Guichoux et al. (<xref ref-type="bibr" rid="B24">2011b</xref>). When an allele was found by only one reader, the inconsistency was classified as type A; when the two readers detected different alleles for the same sample, the inconsistency was classified as type B. The readers tried to determine a consensus genotype. If consensus result could not be achieved, the data were treated as missing.</p>
</sec>
<sec>
<title>Data analysis</title>
<sec>
<title>cpDNA sequence analysis</title>
<p>A set of combined sequences (haplotypes) was constructed for all the individuals we analyzed. The haplotype diversity parameters were calculated by Permut 2.0 (Pons and Petit, <xref ref-type="bibr" rid="B50">1996</xref>; Burban et al., <xref ref-type="bibr" rid="B8">1999</xref>); these included the total genetic diversity (<italic>H</italic><sub>T</sub>), the genetic diversity within populations (<italic>H</italic><sub>S</sub>), the interspecies differentiation (<italic>G</italic><sub>ST</sub>) and the interspecies differentiation taking similarities between haplotypes into account (<italic>N</italic><sub>ST</sub>). Comparisons between <italic>G</italic><sub>ST</sub> and <italic>N</italic><sub>ST</sub> were carried out with 1,000 random permutations of haplotype identity. Haplotype frequency was calculated and graphed for each species and sampling site. Analysis of molecular variance (AMOVA) was performed using Arlequin V3.5 (Excoffier and Lischer, <xref ref-type="bibr" rid="B21">2010</xref>). The number of permutations for significance test was set at 1,000 for all analyzes. Relationships between haplotypes were identified using NETWORK 5.0 with the median-joining model (Bandelt et al., <xref ref-type="bibr" rid="B4">1999</xref>).</p>
</sec>
<sec>
<title>Microsatellite analysis</title>
<p>Null alleles were initially detected by Micro-Checker V2.2 (Oosterhout et al., <xref ref-type="bibr" rid="B44">2004</xref>) and primers revealing null alleles were excluded from further analysis. The Bayesian model-based clustering program STRUCTURE V2.3 (Pritchard et al., <xref ref-type="bibr" rid="B51">2000</xref>) was used to assign individuals to <italic>K</italic> species on the basis of genotypes. The number of clusters (<italic>K</italic>) was set to 1&#x02013;10. The program was set to run 1,000,000 Markov Chain Monte Carlo iterations (MCMC), following 100,000 burn-in iterations without any species identification information (USEPOPINFO &#x0003D; 0). The best <italic>K</italic>-value was evaluated using mean LnP(K) and &#x00394;<italic>K</italic> (Evanno et al., <xref ref-type="bibr" rid="B20">2005</xref>) by the web-based program STRUCTURE HARVESTER (Earl and vonHoldt, <xref ref-type="bibr" rid="B18">2012</xref>). To determine whether there were any hybrids, the admixture coefficient (<italic>Q</italic>) values were analyzed. The <italic>Q</italic>-value of purebreds should near to 0 or 1 and that of F<sub>1</sub> hybrids should be close to 0.5. Based on our results and literature references, threshold values of <italic>Q</italic> &#x02264; 0.9 (Lepais et al., <xref ref-type="bibr" rid="B37">2009</xref>; Pe&#x000F1;aloza-Ram&#x000ED;rez et al., <xref ref-type="bibr" rid="B46">2010</xref>) and <italic>Q</italic> &#x02264; 0.8 (Labeyrie et al., <xref ref-type="bibr" rid="B35">2014</xref>) were set to distinguish hybrids from purebreds. Individuals with <italic>Q</italic> &#x02265; 0.8 or 0.9 were considered to be purebreds, with <italic>Q</italic> &#x0003C; 0.8 or 0.9 from two genetic groups were considered to be hybrids between two oak species. We also conducted a Principal Coordinates Analysis (PCoA) to cross-validate the results of STRUCTURE using GenAlEx version 6.5 (Peakall and Smouse, <xref ref-type="bibr" rid="B45">2012</xref>). The expected heterozygosity (<italic>H</italic><sub>e</sub>), observed heterozygosity (<italic>H</italic><sub>o</sub>), and the observed number of alleles (<italic>N</italic><sub>a</sub>) were estimated by GenAlEx V6.5 (Peakall and Smouse, <xref ref-type="bibr" rid="B45">2012</xref>). The Arlequin software package V3.5 (Excoffier and Lischer, <xref ref-type="bibr" rid="B21">2010</xref>) was used to analyze molecular variance (AMOVA). As wind-pollinated species, oaks rely predominantly on pollen for gene exchange. The extent and direction of historical gene flow between species were estimated from nSSRs data using the program Migrate-n V3.6 (Beerli and Felsenstein, <xref ref-type="bibr" rid="B6">2001</xref>; Beerli, <xref ref-type="bibr" rid="B5">2006</xref>) by calculating the parameters &#x003B8; (four times effective population size multiplied by mutation rate per site per generation) and <italic>M</italic> (immigration rate divided by the mutation rate). A continuous Brownian motion model and the default <italic>F</italic><sub>ST</sub> was used to generate initial theta and migration values. Next, five independent MCMC chains, each with 5, 000, 000 generations were set to run. We sampled every 100 steps under a constant mutation model, discarding the first 10,000 records as burn-in. The mode and 95% highest posterior density were then estimated after checking for convergence. Ten different models (Supplementary Table <xref ref-type="supplementary-material" rid="SM1">4</xref>) with different direction and amount of gene flow among the three oak species were defined and the best model was selected by comparing the marginal likelihoods using thermodynamic integration (Bezier) in Migrate-n (Beerli and Palczewski, <xref ref-type="bibr" rid="B7">2010</xref>).</p>
</sec>
</sec>
</sec>
<sec sec-type="results" id="s3">
<title>Results</title>
<sec>
<title>cpDNA diversity and differentiation</title>
<p>A total of 3,344 bp from five cpDNA fragments were sequenced and a matrix of combined sequences was constructed. Twenty substitutions and six indels were detected in 343 individuals and were combined into seven chloroplast haplotypes (H1-H7) (Supplementary Table <xref ref-type="supplementary-material" rid="SM1">5</xref>). H1 was the most common haplotype and was found in most <italic>Q. aliena</italic> (175 out of 178) and <italic>Q. dentata</italic> (47 out of 48), and in the single individual with intermediate morphology. H2 was the dominant haplotype in <italic>Q. variabilis</italic>, being found across all sites. H3 and H7 were restricted to <italic>Q. variabilis</italic> at site YSD. H4, H5, and H6 were only found at site XSL in <italic>Q. aliena, Q. dentate</italic>, and <italic>Q. variabilis</italic>, respectively (Table <xref ref-type="table" rid="T1">1</xref>, Figure <xref ref-type="fig" rid="F1">1</xref>).</p>
<table-wrap position="float" id="T1">
<label>Table 1</label>
<caption><p>The proportions of cpDNA haplotypes and genetic diversity estimates for nSSRs within each oak species.</p></caption>
<table frame="hsides" rules="groups">
<thead><tr>
<th valign="top" align="left"><bold>Species</bold></th>
<th valign="top" align="left"><bold>Sites</bold></th>
<th valign="top" align="center" colspan="7" style="border-bottom: thin solid #000000;"><bold>cpDNA</bold></th>
<th valign="top" align="center" colspan="5" style="border-bottom: thin solid #000000;"><bold>nSSRs</bold></th>
</tr>
<tr>
<th/>
<th/>
<th valign="top" align="center"><bold>N</bold></th>
<th valign="top" align="center"><bold>H1</bold></th>
<th valign="top" align="center"><bold>H2</bold></th>
<th valign="top" align="center"><bold>H3</bold></th>
<th valign="top" align="center"><bold>H4</bold></th>
<th valign="top" align="center"><bold>H5</bold></th>
<th valign="top" align="center"><bold>H6</bold></th>
<th valign="top" align="center"><bold>H7</bold></th>
<th valign="top" align="center"><bold>N</bold></th>
<th valign="top" align="center"><bold><italic>N</italic><sub>a</sub></bold></th>
<th valign="top" align="center"><bold><italic>H</italic><sub>o</sub></bold></th>
<th valign="top" align="center"><bold><italic>H</italic><sub>e</sub></bold></th>
</tr>
</thead>
<tbody>
<tr>
<td valign="top" align="left"><italic>Q. variabilis</italic></td>
<td valign="top" align="left">SHG</td>
<td valign="top" align="center">30</td>
<td valign="top" align="center">&#x02013;</td>
<td valign="top" align="center">30</td>
<td valign="top" align="center">&#x02013;</td>
<td valign="top" align="center">&#x02013;</td>
<td valign="top" align="center">&#x02013;</td>
<td valign="top" align="center">&#x02013;</td>
<td valign="top" align="center">&#x02013;</td>
<td valign="top" align="center">33</td>
<td valign="top" align="center">6.06</td>
<td valign="top" align="center">0.59</td>
<td valign="top" align="center">0.59</td>
</tr>
<tr>
<td/>
<td valign="top" align="left">TL</td>
<td valign="top" align="center">2</td>
<td valign="top" align="center">&#x02013;</td>
<td valign="top" align="center">2</td>
<td valign="top" align="center">&#x02013;</td>
<td valign="top" align="center">&#x02013;</td>
<td valign="top" align="center">&#x02013;</td>
<td valign="top" align="center">&#x02013;</td>
<td valign="top" align="center">&#x02013;</td>
<td valign="top" align="center">18</td>
<td valign="top" align="center">5.06</td>
<td valign="top" align="center">0.56</td>
<td valign="top" align="center">0.56</td>
</tr>
<tr>
<td/>
<td valign="top" align="left">TZF</td>
<td valign="top" align="center">16</td>
<td valign="top" align="center">&#x02013;</td>
<td valign="top" align="center">16</td>
<td valign="top" align="center">&#x02013;</td>
<td valign="top" align="center">&#x02013;</td>
<td valign="top" align="center">&#x02013;</td>
<td valign="top" align="center">&#x02013;</td>
<td valign="top" align="center">&#x02013;</td>
<td valign="top" align="center">19</td>
<td valign="top" align="center">5.35</td>
<td valign="top" align="center">0.53</td>
<td valign="top" align="center">0.55</td>
</tr>
<tr>
<td/>
<td valign="top" align="left">XSL</td>
<td valign="top" align="center">40</td>
<td valign="top" align="center">&#x02013;</td>
<td valign="top" align="center">39</td>
<td valign="top" align="center">&#x02013;</td>
<td valign="top" align="center">&#x02013;</td>
<td valign="top" align="center">&#x02013;</td>
<td valign="top" align="center">1</td>
<td valign="top" align="center">&#x02013;</td>
<td valign="top" align="center">48</td>
<td valign="top" align="center">7.59</td>
<td valign="top" align="center">0.62</td>
<td valign="top" align="center">0.64</td>
</tr>
<tr>
<td/>
<td valign="top" align="left">YSD</td>
<td valign="top" align="center">29</td>
<td valign="top" align="center">&#x02013;</td>
<td valign="top" align="center">25</td>
<td valign="top" align="center">3</td>
<td valign="top" align="center">&#x02013;</td>
<td valign="top" align="center">&#x02013;</td>
<td valign="top" align="center">&#x02013;</td>
<td valign="top" align="center">1</td>
<td valign="top" align="center">31</td>
<td valign="top" align="center">5.94</td>
<td valign="top" align="center">0.58</td>
<td valign="top" align="center">0.57</td>
</tr>
<tr style="border-top: thin solid #000000;">
<td valign="top" align="left"><italic>Q. aliena</italic></td>
<td valign="top" align="left">TK</td>
<td valign="top" align="center">39</td>
<td valign="top" align="center">39</td>
<td valign="top" align="center">&#x02013;</td>
<td valign="top" align="center">&#x02013;</td>
<td valign="top" align="center">&#x02013;</td>
<td valign="top" align="center">&#x02013;</td>
<td valign="top" align="center">&#x02013;</td>
<td valign="top" align="center">&#x02013;</td>
<td valign="top" align="center">37</td>
<td valign="top" align="center">9.12</td>
<td valign="top" align="center">0.67</td>
<td valign="top" align="center">0.65</td>
</tr>
<tr>
<td/>
<td valign="top" align="left">TL</td>
<td valign="top" align="center">27</td>
<td valign="top" align="center">27</td>
<td valign="top" align="center">&#x02013;</td>
<td valign="top" align="center">&#x02013;</td>
<td valign="top" align="center">&#x02013;</td>
<td valign="top" align="center">&#x02013;</td>
<td valign="top" align="center">&#x02013;</td>
<td valign="top" align="center">&#x02013;</td>
<td valign="top" align="center">40</td>
<td valign="top" align="center">8.77</td>
<td valign="top" align="center">0.68</td>
<td valign="top" align="center">0.66</td>
</tr>
<tr>
<td/>
<td valign="top" align="left">TZF</td>
<td valign="top" align="center">19</td>
<td valign="top" align="center">19</td>
<td valign="top" align="center">&#x02013;</td>
<td valign="top" align="center">&#x02013;</td>
<td valign="top" align="center">&#x02013;</td>
<td valign="top" align="center">&#x02013;</td>
<td valign="top" align="center">&#x02013;</td>
<td valign="top" align="center">&#x02013;</td>
<td valign="top" align="center">20</td>
<td valign="top" align="center">7.18</td>
<td valign="top" align="center">0.68</td>
<td valign="top" align="center">0.66</td>
</tr>
<tr>
<td/>
<td valign="top" align="left">XSL</td>
<td valign="top" align="center">53</td>
<td valign="top" align="center">51</td>
<td valign="top" align="center">&#x02013;</td>
<td valign="top" align="center">&#x02013;</td>
<td valign="top" align="center">2</td>
<td valign="top" align="center">&#x02013;</td>
<td valign="top" align="center">&#x02013;</td>
<td valign="top" align="center">&#x02013;</td>
<td valign="top" align="center">54</td>
<td valign="top" align="center">9.47</td>
<td valign="top" align="center">0.69</td>
<td valign="top" align="center">0.66</td>
</tr>
<tr>
<td/>
<td valign="top" align="left">YSD</td>
<td valign="top" align="center">20</td>
<td valign="top" align="center">20</td>
<td valign="top" align="center">&#x02013;</td>
<td valign="top" align="center">&#x02013;</td>
<td valign="top" align="center">&#x02013;</td>
<td valign="top" align="center">&#x02013;</td>
<td valign="top" align="center">&#x02013;</td>
<td valign="top" align="center">&#x02013;</td>
<td valign="top" align="center">27</td>
<td valign="top" align="center">7.41</td>
<td valign="top" align="center">0.64</td>
<td valign="top" align="center">0.64</td>
</tr>
<tr>
<td/>
<td valign="top" align="left">ZL</td>
<td valign="top" align="center">20</td>
<td valign="top" align="center">20</td>
<td valign="top" align="center">&#x02013;</td>
<td valign="top" align="center">&#x02013;</td>
<td valign="top" align="center">&#x02013;</td>
<td valign="top" align="center">&#x02013;</td>
<td valign="top" align="center">&#x02013;</td>
<td valign="top" align="center">&#x02013;</td>
<td valign="top" align="center">22</td>
<td valign="top" align="center">7.82</td>
<td valign="top" align="center">0.69</td>
<td valign="top" align="center">0.68</td>
</tr>
<tr style="border-top: thin solid #000000;">
<td valign="top" align="left"><italic>Q. dentate</italic></td>
<td valign="top" align="left">TZF</td>
<td valign="top" align="center">1</td>
<td valign="top" align="center">1</td>
<td valign="top" align="center">&#x02013;</td>
<td valign="top" align="center">&#x02013;</td>
<td valign="top" align="center">&#x02013;</td>
<td valign="top" align="center">&#x02013;</td>
<td valign="top" align="center">&#x02013;</td>
<td valign="top" align="center">&#x02013;</td>
<td valign="top" align="center">1</td>
<td valign="top" align="center">1.77</td>
<td valign="top" align="center">0.77</td>
<td valign="top" align="center">0.38</td>
</tr>
<tr>
<td/>
<td valign="top" align="left">XSL</td>
<td valign="top" align="center">23</td>
<td valign="top" align="center">22</td>
<td valign="top" align="center">&#x02013;</td>
<td valign="top" align="center">&#x02013;</td>
<td valign="top" align="center">&#x02013;</td>
<td valign="top" align="center">1</td>
<td valign="top" align="center">&#x02013;</td>
<td valign="top" align="center">&#x02013;</td>
<td valign="top" align="center">23</td>
<td valign="top" align="center">7.65</td>
<td valign="top" align="center">0.68</td>
<td valign="top" align="center">0.64</td>
</tr>
<tr>
<td/>
<td valign="top" align="left">ZL</td>
<td valign="top" align="center">24</td>
<td valign="top" align="center">24</td>
<td valign="top" align="center">&#x02013;</td>
<td valign="top" align="center">&#x02013;</td>
<td valign="top" align="center">&#x02013;</td>
<td valign="top" align="center">&#x02013;</td>
<td valign="top" align="center">&#x02013;</td>
<td valign="top" align="center">&#x02013;</td>
<td valign="top" align="center">41</td>
<td valign="top" align="center">9.53</td>
<td valign="top" align="center">0.71</td>
<td valign="top" align="center">0.71</td>
</tr>
<tr style="border-top: thin solid #000000;">
<td valign="top" align="left">Total</td>
<td/>
<td valign="top" align="center">343</td>
<td valign="top" align="center">223</td>
<td valign="top" align="center">112</td>
<td valign="top" align="center">3</td>
<td valign="top" align="center">2</td>
<td valign="top" align="center">1</td>
<td valign="top" align="center">1</td>
<td valign="top" align="center">1</td>
<td valign="top" align="center">414</td>
<td valign="top" align="center">&#x02013;</td>
<td valign="top" align="center">&#x02013;</td>
<td valign="top" align="center">&#x02013;</td>
</tr>
</tbody>
</table>
<table-wrap-foot>
<p><italic>N, number of individuals; H, chloroplast haplotype; N<sub>a</sub>, No. of alleles; H<sub>o</sub> and H<sub>e</sub>, observed and expected heterozygosity</italic>.</p>
</table-wrap-foot>
</table-wrap>
<p>These haplotypes were clustered into two lineages separated by at least 19 mutations (Figure <xref ref-type="fig" rid="F1">1</xref>). H1, H4, and H5 formed a lineage containing the white oaks (<italic>Q. aliena</italic> and <italic>Q. dentata</italic>) and H2, H3, H6, and H7 formed the second lineage, that of <italic>Q. variabilis</italic> (Figure <xref ref-type="fig" rid="F1">1</xref>). Within the white oak lineage, the relationship between H1 and H5 was more distant with five mutation steps separating them; H4 differed from H1 by one mutation step. In contrast, in the <italic>Q. variabilis</italic> lineage, the four haplotypes were closely related: H3 and H6 were separated by one mutation from H2; H7 differed from H2 with two mutation steps.</p>
<p>The total haplotype diversity was high (<italic>H</italic><sub>T</sub> &#x0003D; 0.51) and more than ten times greater than the genetic diversity within populations (<italic>H</italic><sub>S</sub> &#x0003D; 0.03; Table <xref ref-type="table" rid="T2">2</xref>). The <italic>N</italic><sub>ST</sub> value was significantly higher than the <italic>G</italic><sub>ST</sub> value (<italic>p</italic> &#x0003C; 0.05), suggesting the existence of phylogeography structure (Table <xref ref-type="table" rid="T2">2</xref>). The cpDNA diversity of <italic>Q. variabilis</italic> was the highest among the three oak species, followed by that of <italic>Q. dentata</italic> and <italic>Q. aliena</italic> (Table <xref ref-type="table" rid="T2">2</xref>). The results of AMOVA among the three species revealed that 99.83% of the variation could be attributed to among-species diversity and 0.17% to within-species diversity (Table <xref ref-type="table" rid="T3">3</xref>). The variation between <italic>Q. aliena</italic> and <italic>Q. variabilis</italic> was similar to that between <italic>Q. dentata</italic> and <italic>Q. variabilis</italic> (Table <xref ref-type="table" rid="T3">3</xref>) which was nearly fixed between species. In contrast, the variation between <italic>Q. aliena</italic> and <italic>Q. dentata</italic> was largely harbored within species (Table <xref ref-type="table" rid="T3">3</xref>). In the intraspecies analysis, AMOVA results indicated a high level of genetic variation within sites while negligible variation among sites (negative estimates for <italic>Q. aliena</italic> and <italic>Q. dentata</italic>; 0.01 for <italic>Q. variabilis</italic>, Table <xref ref-type="table" rid="T3">3</xref>).</p>
<table-wrap position="float" id="T2">
<label>Table 2</label>
<caption><p>Genetic diversity estimates for cpDNA and nSSRs markers in the oaks investigated.</p></caption>
<table frame="hsides" rules="groups">
<thead><tr>
<th valign="top" align="left"><bold>Species</bold></th>
<th valign="top" align="center" colspan="5" style="border-bottom: thin solid #000000;"><bold>cpDNA</bold></th>
<th valign="top" align="center" colspan="4" style="border-bottom: thin solid #000000;"><bold>nSSRs</bold></th>
</tr>
<tr>
<th/>
<th valign="top" align="center"><bold>N</bold></th>
<th valign="top" align="center"><bold><italic>H</italic><sub>T</sub></bold></th>
<th valign="top" align="center"><bold><italic>H</italic><sub>S</sub></bold></th>
<th valign="top" align="center"><bold><italic>G</italic><sub>ST</sub></bold></th>
<th valign="top" align="center"><bold><italic>N</italic><sub>ST</sub></bold></th>
<th valign="top" align="center"><bold>N</bold></th>
<th valign="top" align="center"><bold><italic>N</italic><sub>a</sub></bold></th>
<th valign="top" align="center"><bold><italic>H</italic><sub>o</sub></bold></th>
<th valign="top" align="center"><bold><italic>H</italic><sub>e</sub></bold></th>
</tr>
</thead>
<tbody>
<tr>
<td valign="top" align="left"><italic>Q. aliena</italic></td>
<td valign="top" align="center">178</td>
<td valign="top" align="center">0.01</td>
<td valign="top" align="center">0.01</td>
<td valign="top" align="center">0.02</td>
<td valign="top" align="center">0.02</td>
<td valign="top" align="center">200</td>
<td valign="top" align="center">12.29</td>
<td valign="top" align="center">0.68</td>
<td valign="top" align="center">0.67</td>
</tr>
<tr>
<td valign="top" align="left"><italic>Q. dentata</italic></td>
<td valign="top" align="center">48</td>
<td valign="top" align="center">0.03</td>
<td valign="top" align="center">0.03</td>
<td valign="top" align="center">&#x02212;0.00</td>
<td valign="top" align="center">0.00</td>
<td valign="top" align="center">65</td>
<td valign="top" align="center">10.77</td>
<td valign="top" align="center">0.70</td>
<td valign="top" align="center">0.71</td>
</tr>
<tr>
<td valign="top" align="left"><italic>Q. variabilis</italic></td>
<td valign="top" align="center">117</td>
<td valign="top" align="center">0.07</td>
<td valign="top" align="center">0.06</td>
<td valign="top" align="center">0.06</td>
<td valign="top" align="center">0.04</td>
<td valign="top" align="center">149</td>
<td valign="top" align="center">9.18</td>
<td valign="top" align="center">0.59</td>
<td valign="top" align="center">0.63</td>
</tr>
<tr>
<td valign="top" align="left">All species</td>
<td valign="top" align="center">343</td>
<td valign="top" align="center">0.51</td>
<td valign="top" align="center">0.03</td>
<td valign="top" align="center">0.94</td>
<td valign="top" align="center">1<xref ref-type="table-fn" rid="TN2"><sup>&#x0002A;</sup></xref></td>
<td valign="top" align="center">414</td>
<td valign="top" align="center">7.05</td>
<td valign="top" align="center">0.65</td>
<td valign="top" align="center">0.61</td>
</tr>
</tbody>
</table>
<table-wrap-foot>
<p><italic>N, number of individuals; H<sub>T</sub>, total genetic diversity; H<sub>S</sub>, genetic diversity within populations; G<sub>ST</sub>, interspecies differentiation; N<sub>ST</sub>, interspecies differentiation taking similarities between haplotypes into account;</italic></p>
<fn id="TN2">
<label>&#x0002A;</label>
<p><italic>, means N<sub>ST</sub> is significantly larger than G<sub>ST</sub> (p &#x0003C; 0.05); N<sub>a</sub>, No. of alleles; H<sub>o</sub> and H<sub>e</sub>, observed and expected heterozygosity</italic>.</p></fn>
</table-wrap-foot>
</table-wrap>
<table-wrap position="float" id="T3">
<label>Table 3</label>
<caption><p>AMOVA results for cpDNA and nSSRs markers.</p></caption>
<table frame="hsides" rules="groups">
<thead><tr>
<th valign="top" align="left"><bold>Source of variation</bold></th>
<th valign="top" align="center" colspan="5" style="border-bottom: thin solid #000000;"><bold>cpDNA</bold></th>
<th valign="top" align="center" colspan="5" style="border-bottom: thin solid #000000;"><bold>nSSRs</bold></th>
</tr>
<tr>
<th/>
<th valign="top" align="center"><bold><italic>df</italic><xref ref-type="table-fn" rid="TN5a"><sup>&#x02020;</sup></xref></bold></th>
<th valign="top" align="center"><bold>SS<xref ref-type="table-fn" rid="TN3a"><sup>&#x003B6;</sup></xref></bold></th>
<th valign="top" align="center"><bold>VC<xref ref-type="table-fn" rid="TN4a"><sup>&#x003C9;</sup></xref></bold></th>
<th valign="top" align="center"><bold>Variation (%)<xref ref-type="table-fn" rid="TN2a"><sup>&#x0002A;</sup></xref></bold></th>
<th valign="top" align="center"><bold>Mean <italic>F</italic><sub>ST</sub></bold></th>
<th valign="top" align="center"><bold><italic>df</italic><xref ref-type="table-fn" rid="TN5a"><sup>&#x02020;</sup></xref></bold></th>
<th valign="top" align="center"><bold>SS<xref ref-type="table-fn" rid="TN3a"><sup>&#x003B6;</sup></xref></bold></th>
<th valign="top" align="center"><bold>VC<xref ref-type="table-fn" rid="TN4a"><sup>&#x003C9;</sup></xref></bold></th>
<th valign="top" align="center"><bold>Variation (%)<xref ref-type="table-fn" rid="TN2a"><sup>&#x0002A;</sup></xref></bold></th>
<th valign="top" align="center"><bold>Mean <italic>F</italic><sub>ST</sub></bold></th>
</tr>
</thead>
<tbody>
<tr>
<td valign="top" align="left">Among three species</td>
<td valign="top" align="center">2</td>
<td valign="top" align="center">6, 309.59</td>
<td valign="top" align="center">30.93</td>
<td valign="top" align="center">99.83</td>
<td valign="top" align="center">0.998</td>
<td valign="top" align="center">2</td>
<td valign="top" align="center">755.48</td>
<td valign="top" align="center">1.47</td>
<td valign="top" align="center">20.63</td>
<td valign="top" align="center">0.21</td>
</tr>
<tr>
<td valign="top" align="left">within species</td>
<td valign="top" align="center">340</td>
<td valign="top" align="center">17.69</td>
<td valign="top" align="center">0.05</td>
<td valign="top" align="center">0.17</td>
<td/>
<td valign="top" align="center">825</td>
<td valign="top" align="center">4, 657.7</td>
<td valign="top" align="center">5.65</td>
<td valign="top" align="center">79.37</td>
<td/>
</tr>
<tr>
<td valign="top" align="left">Between <italic>Q. aliena</italic> and <italic>Q. dentata</italic></td>
<td valign="top" align="center">1</td>
<td valign="top" align="center">0.14</td>
<td valign="top" align="center">0</td>
<td valign="top" align="center">2.71</td>
<td valign="top" align="center">0.03</td>
<td valign="top" align="center">1</td>
<td valign="top" align="center">148.48</td>
<td valign="top" align="center">0.73</td>
<td valign="top" align="center">11.13</td>
<td valign="top" align="center">0.11</td>
</tr>
<tr>
<td valign="top" align="left">within species</td>
<td valign="top" align="center">224</td>
<td valign="top" align="center">9.8</td>
<td valign="top" align="center">0.04</td>
<td valign="top" align="center">97.29</td>
<td/>
<td valign="top" align="center">528</td>
<td valign="top" align="center">3, 065.72</td>
<td valign="top" align="center">5.81</td>
<td valign="top" align="center">88.87</td>
<td/>
</tr>
<tr>
<td valign="top" align="left">Between <italic>Q. aliena</italic> and <italic>Q. variabilis</italic></td>
<td valign="top" align="center">1</td>
<td valign="top" align="center">5, 782.93</td>
<td valign="top" align="center">40.96</td>
<td valign="top" align="center">99.92</td>
<td valign="top" align="center">0.999</td>
<td valign="top" align="center">1</td>
<td valign="top" align="center">581.42</td>
<td valign="top" align="center">1.69</td>
<td valign="top" align="center">23.24</td>
<td valign="top" align="center">0.23</td>
</tr>
<tr>
<td valign="top" align="left">within species</td>
<td valign="top" align="center">293</td>
<td valign="top" align="center">9.86</td>
<td valign="top" align="center">0.03</td>
<td valign="top" align="center">0.08</td>
<td/>
<td valign="top" align="center">696</td>
<td valign="top" align="center">3, 876.92</td>
<td valign="top" align="center">5.57</td>
<td valign="top" align="center">76.76</td>
<td/>
</tr>
<tr>
<td valign="top" align="left">Between <italic>Q.dentata</italic> and <italic>Q. variabilis</italic></td>
<td valign="top" align="center">1</td>
<td valign="top" align="center">2, 776.93</td>
<td valign="top" align="center">40.79</td>
<td valign="top" align="center">99.76</td>
<td valign="top" align="center">0.998</td>
<td valign="top" align="center">1</td>
<td valign="top" align="center">329.45</td>
<td valign="top" align="center">1.79</td>
<td valign="top" align="center">24.31</td>
<td valign="top" align="center">0.24</td>
</tr>
<tr>
<td valign="top" align="left">within species</td>
<td valign="top" align="center">163</td>
<td valign="top" align="center">15.71</td>
<td valign="top" align="center">0.1</td>
<td valign="top" align="center">0.24</td>
<td/>
<td valign="top" align="center">426</td>
<td valign="top" align="center">2, 372.77</td>
<td valign="top" align="center">5.57</td>
<td valign="top" align="center">75.69</td>
<td/>
</tr>
<tr>
<td valign="top" align="left"><italic><bold>Q. aliena</bold></italic></td>
</tr>
<tr>
<td valign="top" align="left">Among sites</td>
<td valign="top" align="center">5</td>
<td valign="top" align="center">0.05</td>
<td valign="top" align="center">0</td>
<td valign="top" align="center">&#x02212;0.18</td>
<td valign="top" align="center">0</td>
<td valign="top" align="center">5</td>
<td valign="top" align="center">48.29</td>
<td valign="top" align="center">0.06</td>
<td valign="top" align="center">1.07</td>
<td valign="top" align="center">0.01</td>
</tr>
<tr>
<td valign="top" align="left">within sites</td>
<td valign="top" align="center">172</td>
<td valign="top" align="center">1.93</td>
<td valign="top" align="center">0.01</td>
<td valign="top" align="center">100.18</td>
<td/>
<td valign="top" align="center">394</td>
<td valign="top" align="center">2, 236.64</td>
<td valign="top" align="center">5.68</td>
<td valign="top" align="center">98.93</td>
<td/>
</tr>
<tr>
<td valign="top" align="left"><italic><bold>Q. dentata</bold></italic></td>
</tr>
<tr>
<td valign="top" align="left">Among sites</td>
<td valign="top" align="center">2</td>
<td valign="top" align="center">0.18</td>
<td valign="top" align="center">&#x02212;0.01</td>
<td valign="top" align="center">&#x02212;3.89</td>
<td valign="top" align="center">&#x02212;0.04</td>
<td valign="top" align="center">2</td>
<td valign="top" align="center">25.38</td>
<td valign="top" align="center">0.22</td>
<td valign="top" align="center">3.53</td>
<td valign="top" align="center">0.04</td>
</tr>
<tr>
<td valign="top" align="left">within sites</td>
<td valign="top" align="center">45</td>
<td valign="top" align="center">7.65</td>
<td valign="top" align="center">0.17</td>
<td valign="top" align="center">103.89</td>
<td/>
<td valign="top" align="center">127</td>
<td valign="top" align="center">755.41</td>
<td valign="top" align="center">5.95</td>
<td valign="top" align="center">96.47</td>
<td/>
</tr>
<tr>
<td valign="top" align="left"><italic><bold>Q. variabilis</bold></italic></td>
</tr>
<tr>
<td valign="top" align="left">Among sites</td>
<td valign="top" align="center">4</td>
<td valign="top" align="center">0.35</td>
<td valign="top" align="center">0</td>
<td valign="top" align="center">1.44</td>
<td valign="top" align="center">0.01</td>
<td valign="top" align="center">4</td>
<td valign="top" align="center">91.67</td>
<td valign="top" align="center">0.31</td>
<td valign="top" align="center">5.69</td>
<td valign="top" align="center">0.06</td>
</tr>
<tr>
<td valign="top" align="left">within sites</td>
<td valign="top" align="center">112</td>
<td valign="top" align="center">7.53</td>
<td valign="top" align="center">0.07</td>
<td valign="top" align="center">98.56</td>
<td/>
<td valign="top" align="center">293</td>
<td valign="top" align="center">1500.31</td>
<td valign="top" align="center">5.12</td>
<td valign="top" align="center">94.31</td>
<td/>
</tr>
</tbody>
</table>
<table-wrap-foot>
<fn id="TN5a">
<label>&#x02020;</label>
<p><italic>df, degree of freedom;</italic></p></fn>
<fn id="TN3a">
<label>&#x003B6;</label>
<p><italic>SS, sum of squares;</italic></p></fn>
<fn id="TN4a">
<label>&#x003C9;</label>
<p><italic>VC, variance components;</italic></p></fn>
<fn id="TN2a">
<label>&#x0002A;</label>
<p><italic>P &#x0003C; 0.05</italic>.</p></fn>
</table-wrap-foot>
</table-wrap>
</sec>
<sec>
<title>nSSRs diversity, genetic structure, and gene flow</title>
<p>Two nSSRs loci (QmC00196 and WAG066) presenting null alleles detected by Micro-Checker and 18 individuals showing poor amplifications were excluded from further analysis. In total, genetic diversity of 414 individuals was estimated based on 17 loci. All 17 nSSRs loci were polymorphic with the mean number of different alleles per locus (<italic>N</italic><sub>a</sub>) varying from 9.18 to 12.29 (Table <xref ref-type="table" rid="T2">2</xref>). In contrast to the results of cpDNA analysis, nSSRs data indicated that the genetic diversity of <italic>Q. variabilis</italic> was the lowest among the three oak species (<italic>H</italic><sub>e</sub> &#x0003D; 0.63; Table <xref ref-type="table" rid="T2">2</xref>). The observed heterozygosity (<italic>H</italic><sub>o</sub>) ranged from 0.59 (<italic>Q. variabilis</italic>) to 0.70 (<italic>Q. dentata</italic>) (Table <xref ref-type="table" rid="T2">2</xref>). Within species, the <italic>N</italic><sub>a</sub> of <italic>Q. variabilis</italic> ranged from 5.06 (site TL) to 7.59 (site XSL). The expected heterozygosity (<italic>H</italic><sub>e</sub>) ranged from 0.55 (site TZF) to 0.64 (site XSL), and the <italic>H</italic><sub>o</sub> from 0.53 (site TZF) to 0.62 (site XSL) (Table <xref ref-type="table" rid="T1">1</xref>). The <italic>N</italic><sub>a</sub> of <italic>Q. aliena</italic> ranged from 7.18 (site TZF) to 9.47 (site XSL). The highest <italic>H</italic><sub>e</sub> was 0.68 at site ZL and the highest <italic>H</italic><sub>o</sub> was 0.69 at sites ZL and XSL (Table <xref ref-type="table" rid="T1">1</xref>). Both <italic>N</italic><sub>a</sub> (9.53) and <italic>H</italic><sub>e</sub> (0.71) for <italic>Q. dentata</italic> had their highest values at site ZL and the <italic>H</italic><sub>o</sub> ranged from 0.68 (site XSL) to 0.77 (site TZF) (Table <xref ref-type="table" rid="T1">1</xref>). The results of the overall AMOVA suggested that most of the variation occurred within species (79.4%; <italic>F</italic><sub>ST</sub> &#x0003D; 0.21), and only 20.6% of the variation was due to interspecies differences (Table <xref ref-type="table" rid="T3">3</xref>). AMOVA results of the three species pairs (<italic>Q. aliena</italic> and <italic>Q. dentata</italic>; <italic>Q. aliena</italic> and <italic>Q. variabilis</italic>; <italic>Q. dentata</italic> and <italic>Q. variabilis</italic>) revealed a high level of genetic variation within species (Table <xref ref-type="table" rid="T3">3</xref>). The intraspecies analysis indicated a high level of genetic variation within sites (Table <xref ref-type="table" rid="T3">3</xref>).</p>
<p>The likelihood of classifying the data increased greatly from <italic>K</italic> &#x0003D; 1 to <italic>K</italic> &#x0003D; 3 and then increased slightly from <italic>K</italic> &#x0003D; 3 to <italic>K</italic> &#x0003D; 4, where it reached a plateau (Supplementary Figure <xref ref-type="supplementary-material" rid="SM1">2</xref>). The &#x00394;<italic>K</italic> (&#x00394;<italic>K</italic> &#x0003D; 4157.04 when <italic>K</italic> &#x0003D; 2, Supplementary Figure <xref ref-type="supplementary-material" rid="SM1">2</xref>) indicated that two was the optimal number of clusters (<italic>K</italic> &#x0003D; 2). However, the statistics also gave some support for <italic>K</italic> &#x0003D; 3 (Supplementary Figure <xref ref-type="supplementary-material" rid="SM1">2</xref>). When <italic>K</italic> equaled to 2, one cluster corresponded to <italic>Q. variabilis</italic> (red), and the other one included <italic>Q. aliena</italic> and <italic>Q. dentata</italic> (green). When <italic>K</italic> equaled to 3 (&#x00394;<italic>K</italic> &#x0003D; 1280.58), each species was classified into a distinct cluster with red, green and blue representing <italic>Q. variabilis, Q. aliena</italic> and <italic>Q. dentata</italic>, respectively (Figure <xref ref-type="fig" rid="F2">2</xref>). The PCoA result showed three distinct clusters, corresponding to <italic>Q. aliena, Q. dentata</italic>, and <italic>Q. variabilis</italic>. The first axis separated <italic>Q. variabilis</italic> from a cluster of <italic>Q. aliena</italic> and <italic>Q. dentata</italic>, and the second axis separated <italic>Q. dentata</italic> from <italic>Q. aliena</italic> and <italic>Q. variabilis</italic> (Figure <xref ref-type="fig" rid="F3">3</xref>).</p>
<fig id="F2" position="float">
<label>Figure 2</label>
<caption><p>Genetic assignment for the three sympatric oaks based on variation at 17 microsatellite loci. Clustering of individuals into two <bold>(A)</bold> and three <bold>(C)</bold> different genetic clusters with decreasing admixture coefficient <italic>Q</italic>. Clustering of individuals into two <bold>(B)</bold> and three <bold>(D)</bold> different genetic clusters. Black lines separating different sites.</p></caption>
<graphic xlink:href="fpls-09-00414-g0002.tif"/>
</fig>
<fig id="F3" position="float">
<label>Figure 3</label>
<caption><p>PCoA result for the three oak species.</p></caption>
<graphic xlink:href="fpls-09-00414-g0003.tif"/>
</fig>
<p>If the threshold value of <italic>Q</italic> was set to 0.8, when <italic>K</italic> &#x0003D; 2, no individual was identified as a hybrid (Figure <xref ref-type="fig" rid="F2">2</xref>); when <italic>K</italic> &#x0003D; 3, seven individuals were hybrids between <italic>Q. aliena</italic> and <italic>Q. dentata</italic> with <italic>Q</italic>-values ranging from 0.24 to 0.46. These included the individual with intermediate morphology at site TK, one morphologically inferred <italic>Q. aliena</italic> at TL, two (one <italic>Q. aliena</italic> and one <italic>Q. dentata</italic>) at XSL and three (two <italic>Q. aliena</italic> and one <italic>Q. dentata</italic>) at site ZL. Hence, hybrids accounted for 1.7% of the total samples with only one individual being inferred to be an F1 hybrid (<italic>Q</italic>-value was 0.464, at site ZL) (Figures <xref ref-type="fig" rid="F2">2</xref>, <xref ref-type="fig" rid="F4">4</xref>).</p>
<fig id="F4" position="float">
<label>Figure 4</label>
<caption><p>Geographical location and genetic structure of the three sympatric oaks. Geographical location and genetic structure of the two genetically assigned clusters of oaks when trees with <italic>Q</italic> &#x0003C; 0.8 <bold>(A)</bold> and <italic>Q</italic> &#x0003C; 0.9 <bold>(B)</bold> from two genetic groups were considered to be hybrids between two oak species. Geographical location and genetic structure of the three genetically assigned clusters of oaks when trees with <italic>Q</italic> &#x0003C; 0.8 <bold>(C)</bold> and <italic>Q</italic> &#x0003C; 0.9 <bold>(D)</bold> from two genetic groups were considered to be hybrids between two oak species.</p></caption>
<graphic xlink:href="fpls-09-00414-g0004.tif"/>
</fig>
<p>If the <italic>Q-</italic>value was set to 0.9, when <italic>K</italic> &#x0003D; 2, only one individual at site TL was identified as a hybrid between <italic>Q. aliena</italic> and <italic>Q. variabilis</italic>, with a <italic>Q</italic>-value of 0.163. When <italic>K</italic> &#x0003D; 3, 14 individuals, including the individual with intermediate morphology at site TK, were considered to be hybrids. Among them, one hybrid between <italic>Q. aliena</italic> and <italic>Q. variabilis</italic> and six hybrids between <italic>Q. aliena</italic> and <italic>Q. dentata</italic> were identified with <italic>Q</italic>-values from 0.1 to 0.2 and another seven hybrids between these two species were detected with <italic>Q</italic>-values from 0.2 to 0.5; only one of these seven was considered to be an F1 hybrid (<italic>Q</italic>-value of 0.46, at site ZL) (Figures <xref ref-type="fig" rid="F2">2</xref>, <xref ref-type="fig" rid="F4">4</xref>).</p>
<p>A comparison of different models calculated by Migrate-n based on Bayesian factor values showed that model 2, with three population sizes and two migration rates (from <italic>Q. aliena</italic> to <italic>Q. dentata</italic> and from <italic>Q. dentata</italic> to <italic>Q. aliena</italic>) was the best model for evaluating the historical gene flow (Chen et al., <xref ref-type="bibr" rid="B9">2017</xref>) among the three oak species. This model verified the occurrence of bidirectional historical gene flow between <italic>Q. aliena</italic> and <italic>Q. dentata</italic> (Table <xref ref-type="table" rid="T4">4</xref>, <italic>Q. aliena</italic>&#x02192;<italic>Q. dentata, M</italic> &#x0003D; 56.3; <italic>Q. dentata</italic>&#x02192;<italic>Q. aliena, M</italic> &#x0003D; 57.0).</p>
<table-wrap position="float" id="T4">
<label>Table 4</label>
<caption><p>Gene flow among the three species of oak estimated by Migrate-n.</p></caption>
<table frame="hsides" rules="groups">
<thead><tr>
<th/>
<th/>
<th valign="top" align="left"><bold><italic>M</italic> (<italic>m</italic>/&#x003BC;)</bold></th>
<th/>
<th/>
</tr>
</thead>
<tbody>
<tr>
<td/>
<td valign="top" align="left">&#x003B8;</td>
<td valign="top" align="left"><italic><bold>Q. variabilis</bold>&#x02192;</italic></td>
<td valign="top" align="left"><italic><bold>Q. aliena</bold>&#x02192;</italic></td>
<td valign="top" align="left"><italic><bold>Q. dentata</bold>&#x02192;</italic></td>
</tr>
<tr style="border-top: thin solid #000000;">
<td valign="top" align="left"><italic>Q. variabilis</italic></td>
<td valign="top" align="left"><bold>0.1</bold> [0.096&#x02013;0.100]</td>
<td/>
<td/>
<td/>
</tr>
<tr>
<td valign="top" align="left"><italic>Q. aliena</italic></td>
<td valign="top" align="left"><bold>0.1</bold> [0.096&#x02013;0.100]</td>
<td/>
<td/>
<td valign="top" align="left"><bold>57.0</bold> [36.000&#x02013;77.333]</td>
</tr>
<tr>
<td valign="top" align="left"><italic>Q. dentata</italic></td>
<td valign="top" align="left"><bold>0.1</bold> [0.096&#x02013;0.100]</td>
<td/>
<td valign="top" align="left"><bold>56.3</bold> [34.667&#x02013;77.333]</td>
<td/>
</tr>
</tbody>
</table>
<table-wrap-foot>
<p><italic>The mode of the posterior distribution is shown in bold and the values in square brackets give the 95% credibility interval; &#x003B8;, 4Ne&#x003BC;; &#x02192;, source populations; M, mutation-scaled immigration rate; m, immigration rate; &#x003BC;, mutation rate</italic>.</p>
</table-wrap-foot>
</table-wrap>
</sec>
</sec>
<sec sec-type="discussion" id="s4">
<title>Discussion</title>
<sec>
<title>Comparing genetic diversity and differentiation revealed by cpDNA data and nSSRs data</title>
<p>The analysis using cpDNA reveals low intraspecies diversity and high interspecies diversity in the oak complex on Shangfang Mountain, whereas both inter- and intraspecific diversity revealed by nSSRs data are high (Tables <xref ref-type="table" rid="T1">1</xref>, <xref ref-type="table" rid="T2">2</xref>). Sharing of haplotype H1 between <italic>Q. aliena</italic> and <italic>Q. dentata</italic> (Table <xref ref-type="table" rid="T1">1</xref>) suggests very recent speciation and incomplete lineage sorting or introgression of H1 from one species to another. Sharing of cpDNA haplotypes has also been reported in other sympatric distributed <italic>Quercus</italic> species (Whittemore and Schaal, <xref ref-type="bibr" rid="B67">1991</xref>; Dumolin-Lap&#x000E8;gue et al., <xref ref-type="bibr" rid="B16">1999</xref>; Kanno et al., <xref ref-type="bibr" rid="B31">2004</xref>; Okaura et al., <xref ref-type="bibr" rid="B43">2007</xref>). The inter- and intraspecific diversity revealed by nSSRs data (Tables <xref ref-type="table" rid="T1">1</xref>, <xref ref-type="table" rid="T2">2</xref>) are consistent with other oak species studied on a fine scale (Antonecchia et al., <xref ref-type="bibr" rid="B1">2015</xref>).</p>
<p>For cpDNA, AMOVA results show high genetic differentiation among the three oak species and between the two sections of oak species. Variation between the combination of <italic>Q. variabilis</italic> and either <italic>Q. aliena</italic> or <italic>Q. dentata</italic> is completely fixed between species whereas most of the variation between <italic>Q. aliena</italic> and <italic>Q. dentata</italic> is within species (Table <xref ref-type="table" rid="T3">3</xref>). For nSSRs, The AMOVA results show the majority of variation occurs within species (Table <xref ref-type="table" rid="T3">3</xref>). The inconsistencies between the AMOVA results for cpDNA and nSSRs markers for all species, <italic>Q. aliena</italic> &#x00026; <italic>Q. variabilis</italic> and <italic>Q. dentata</italic> &#x00026; <italic>Q. variabilis</italic> agree with those reported by Petit et al. (<xref ref-type="bibr" rid="B48">2005</xref>), which can be explained by the different modes of inheritance of cpDNA and nuclear DNA. cpDNA is maternally inherited dispersing limited gene flow through seeds while nuclear DNA is bi-parentally inherited and can mediate extensive gene flow via both seeds and pollen. However, the AMOVA results for <italic>Q. aliena</italic> and <italic>Q. dentata</italic> indicate that interspecific differences are lower in cpDNA (Mean <italic>F</italic><sub>ST</sub> &#x0003D; 0.03 for cpDNA; <italic>F</italic><sub>ST</sub> &#x0003D; 0.11 for nSSRs) which may due to large proportion of individuals sharing haplotype H1 between the two species. Our results indicate chloroplast haplotypes are less species-specific than nuclear markers, probably because chloroplast DNA is more susceptible to drift than is nuclear DNA (Whittemore and Schaal, <xref ref-type="bibr" rid="B67">1991</xref>; Dumolin-Lap&#x000E8;gue et al., <xref ref-type="bibr" rid="B16">1999</xref>; Petit and Excoffier, <xref ref-type="bibr" rid="B49">2009</xref>).</p>
<p>For each species the intraspecific variation within sites is very high, with almost no genetic differentiation among sites within species for either cpDNA or nSSR markers (Table <xref ref-type="table" rid="T3">3</xref>). These results indicate that even the rugged mountain ranges in this region have not impeded extensive gene flow mediated by seeds and pollen among sites which has helped to maintain the species integrity. Human modifications of the landscape such as the building of ancient temples, caves and bridges may have fragmented the forest, decreasing habitat size and increasing isolation between habitats and populations (Young et al., <xref ref-type="bibr" rid="B70">1996</xref>; Su et al., <xref ref-type="bibr" rid="B62">2003</xref>). However, for outcrossing and wind-pollinated tree species such as oaks, the fragmented spatial organization may not impede the genetic exchange via pollen among sites (e.g., reviewed by Herrera-Arroyo et al., <xref ref-type="bibr" rid="B26">2013</xref>), as demonstrated here.</p>
</sec>
<sec>
<title>Interspecific gene flow</title>
<p>The genetic assignment by STRUCTURE using nSSRs shows that two clusters are optimal, reconfirming the taxonomic classifications of these three oak species. The two white oaks were classified into one cluster as they are more closely related to each other than to <italic>Q. variabilis</italic>. Given that <italic>K</italic> &#x0003D; 3 is more biologically representative of the oak species sampled, we also discuss the admixture results for three clusters. With three genetic clusters, <italic>Q. aliena, Q. dentata</italic>, and <italic>Q. variabilis</italic> are all clearly separated (Figure <xref ref-type="fig" rid="F2">2</xref>). Low frequency of bi-directional gene flow between <italic>Q. aliena</italic> and <italic>Q. dentata</italic> were visually detected in STRUCTURE bar plots (Figure <xref ref-type="fig" rid="F2">2</xref>). These results are also confirmed by the PCoA results (Figure <xref ref-type="fig" rid="F3">3</xref>). The existence of reproductive barrier(s) between these two closely related species may be one of the explanations for the limited gene flow between them. At our study site, the flowering periods of <italic>Q. aliena</italic> and <italic>Q. dentata</italic> are asynchronous but they occur in fairly rapid succession. Moreover, the relative abundance of parental species and pollen discrimination can contribute to pre-pollination barriers, limiting interspecific pollen transfer, since abundant species are proportionally less involved in hybridization than minority species (Lepais et al., <xref ref-type="bibr" rid="B37">2009</xref>, <xref ref-type="bibr" rid="B36">2013</xref>; Salvini et al., <xref ref-type="bibr" rid="B55">2009</xref>). The relative abundance of <italic>Q. aliena</italic> is more than twice of that of <italic>Q. dentata</italic> in our study sites, so interspecific gene flow may be more frequent in the core ranges of <italic>Q. dentata</italic> (Figure <xref ref-type="fig" rid="F2">2</xref> shows more hybrids at site ZL than at site XSL). However, because neither seeds nor seedlings have been sampled in this study, we cannot rule out the existence of postzygotic isolation mechanisms such as seed abortion, hybrid lethality, weakness and sterility.</p>
<p>It should be noted, however, the high number of immigrants per generation 4Nm (calculated by &#x003B8;M, higher than one) detected by Migrate-n in <italic>Q. aliena</italic> and <italic>Q. dentata</italic>, which suggests the existence of relatively high level of symmetric historical gene flow between them (Table <xref ref-type="table" rid="T4">4</xref>). These results are consistent with genetic differentiation based on cpDNA with the mean <italic>F</italic><sub>ST</sub> being 0.03 and 0.11 for cpDNA and nSSRs, respectively (Table <xref ref-type="table" rid="T3">3</xref>). This will have to be borne in mind when attempting to interpret the species boundaries.</p>
<p>For either <italic>K</italic> &#x0003D; 2 or <italic>K</italic> &#x0003D; 3, only one individual was identified as a hybrid between <italic>Q. aliena</italic> and <italic>Q. variabilis</italic> (<italic>Q</italic> &#x0003D; 0.16) and no hybrids between <italic>Q. dentata</italic> and <italic>Q. variabilis</italic> were detected (Figure <xref ref-type="fig" rid="F2">2</xref>), a finding which suggests that there is almost no gene flow either between <italic>Q. aliena</italic> and <italic>Q. variabilis</italic> or between <italic>Q. dentata</italic> and <italic>Q. variabilis</italic>. Nearly no gene flow was detected between <italic>Q. variabilis</italic> and either <italic>Q. aliena</italic> or <italic>Q. dentata</italic> by Migrate-n (Table <xref ref-type="table" rid="T4">4</xref>). Combining the cpDNA and nSSRs results, clear species boundaries between the two sections of oak on Shangfang Mountain were detected.</p>
</sec>
</sec>
<sec sec-type="conclusions" id="s5">
<title>Conclusion</title>
<p>In our study, we conducted a fine-scale exploration of genetic diversity, differentiation and gene flow in <italic>Q. aliena, Q. dentata</italic>, and <italic>Q. variabilis</italic>. The cpDNA results show high genetic differentiation between different oak sections. The nSSRs data indicate complete fixation of variation within sites for all three oak species and extensive gene flow occurs within species whereas interspecific gene flow between <italic>Q. aliena</italic> and <italic>Q. dentata</italic> is limited and almost no gene flow was detected between either <italic>Q. aliena</italic> and <italic>Q. variabilis</italic> or <italic>Q. dentata</italic> and <italic>Q. variabilis</italic>. The reasons for the low level of genetic exchange between <italic>Q. aliena</italic> and <italic>Q. dentata</italic> may include reproductive isolation, such as differences in the flowering time and in the relative abundance of parental species. Samples of seeds and seedlings should be included in future studies in order to gain a comprehensive understanding of the mechanism of genetic exchange; for example, to determine whether postzygotic reproductive isolation is the reason for the species boundaries of the three oak species in this area (Widmer et al., <xref ref-type="bibr" rid="B68">2009</xref>).</p>
</sec>
<sec id="s6">
<title>Author contributions</title>
<p>FD and JuL designed the research. FD, JiL, JS, YL, and YW collected the samples. JiL, JS, and YL performed the experiments and analysis. FD and JiL wrote the manuscript. All authors revised the manuscript.</p>
<sec>
<title>Conflict of interest statement</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>
</body>
<back>
<ack><p>The authors would like to thank Antoine Kremer and Arndt Hampe working in INRA, France for their helpful comments on designing the research; Nian Wang working in Shangdong Agricultural University, China for his comments on revising the manuscript and Fangshan District Bureau of Forestry and Parks of Beijing Municipality and Beijing Shangfang Mountain National Forest Park for the help of sampling.</p>
</ack>
<sec sec-type="supplementary-material" id="s7">
<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/fpls.2018.00414/full#supplementary-material">https://www.frontiersin.org/articles/10.3389/fpls.2018.00414/full#supplementary-material</ext-link></p>
<supplementary-material xlink:href="Table1.docx" id="SM1" mimetype="application/vnd.openxmlformats-officedocument.wordprocessingml.document" xmlns:xlink="http://www.w3.org/1999/xlink"/>
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<fn fn-type="financial-disclosure"><p><bold>Funding.</bold> This research was supported by the National Key Research and Development Plan Research on protection and restoration of typical small populations of wild plants (Grant No. 2016YFC0503106), Fundamental Research Funds for the Central Universities (No. 2015ZCQ-LX-03), the National Science Foundation of China (grant 41671039) and the Beijing Nova Program (grant Z151100000315056) to FD.</p></fn>
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