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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.2022.851781</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>Exposed Rock Reduces Tree Size, but Not Diversity</article-title>
</title-group>
<contrib-group>
<contrib contrib-type="author">
<name>
<surname>Li</surname>
<given-names>Jie</given-names>
</name>
<xref rid="aff1" ref-type="aff"><sup>1</sup></xref>
<uri xlink:href="https://loop.frontiersin.org/people/1818092/overview"/>
</contrib>
<contrib contrib-type="author">
<name>
<surname>Zhang</surname>
<given-names>Lianjin</given-names>
</name>
<xref rid="aff2" ref-type="aff"><sup>2</sup></xref>
<uri xlink:href="https://www.frontiersin.org/my-frontiers/overview"/>
</contrib>
<contrib contrib-type="author" corresp="yes">
<name>
<surname>Li</surname>
<given-names>Yuanfa</given-names>
</name>
<xref rid="aff1" ref-type="aff"><sup>1</sup></xref>
<xref rid="c001" ref-type="corresp"><sup>&#x002A;</sup></xref>
<uri xlink:href="https://loop.frontiersin.org/people/1106716/overview"/>
</contrib>
</contrib-group>
<aff id="aff1"><sup>1</sup><institution>College of Forestry, Guangxi Key Laboratory of Forest Ecology and Conservation, Guangxi University</institution>, <addr-line>Nanning</addr-line>, <country>China</country>
</aff>
<aff id="aff2"><sup>2</sup><institution>Experimental Center of Forestry in North China, Chinese Academy of Forestry</institution>, <addr-line>Beijing</addr-line>, <country>China</country>
</aff>
<author-notes>
<fn id="fn0001" fn-type="edited-by">
<p>Edited by: Xiaoyong Bai, Chinese Academy of Sciences, China</p>
</fn>
<fn id="fn0002" fn-type="edited-by">
<p>Reviewed by: Yi Ding, Chinese Academy of Forestry, China; Jos&#x00E9; Antonio Molina, Complutense University of Madrid, Spain; Yuejun He, Guizhou University, China</p>
</fn>
<corresp id="c001">&#x002A;Correspondence: Yuanfa Li, <email>43294659@qq.com</email></corresp>
<fn id="fn0003" fn-type="other">
<p>This article was submitted to Functional Plant Ecology, a section of the journal Frontiers in Plant Science</p>
</fn>
</author-notes>
<pub-date pub-type="epub">
<day>07</day>
<month>06</month>
<year>2022</year>
</pub-date>
<pub-date pub-type="collection">
<year>2022</year>
</pub-date>
<volume>13</volume>
<elocation-id>851781</elocation-id>
<history>
<date date-type="received">
<day>10</day>
<month>01</month>
<year>2022</year>
</date>
<date date-type="accepted">
<day>09</day>
<month>05</month>
<year>2022</year>
</date>
</history>
<permissions>
<copyright-statement>Copyright &#x00A9; 2022 Li, Zhang and Li.</copyright-statement>
<copyright-year>2022</copyright-year>
<copyright-holder>Li, Zhang and Li</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>Karst made up of limestone is widely considered a &#x201C;Noah&#x2019;s ark&#x201D; of biodiversity. Rock and soil substrates comprise two different site types in karst terrain, although both can support dense forests. However, it is unclear whether and how the presence of exposed rock affects forest diversity and tree size. We established a 2.2&#x2009;ha plot (200&#x2009;&#x00D7;&#x2009;110&#x2009;m) in an old-growth oak forest (&#x003E; 300&#x2009;years) in karst terrain in southwestern China. We classified the plot into rock and soil components; we analyzed plant diversity and tree size in each component using species diversity indices (richness, number of individuals, Shannon&#x2013;Wiener index, and Pielou evenness index), stand spatial structure parameters, diameter at breast height (DBH), tree height (TH), and tree basal area (BA). We also analyzed the distributional patterns of species at the sites using non-metric multidimensional scaling, then assessed the effects of abiotic environmental variables on diversity and tree size using redundancy analysis. Our results indicated that both site types (i.e., rock and soil) had similar overall species diversity; trees and shrubs were largely distributed at random within the study site. Tree size was evenly differentiated in the community, and trees were dominant, particularly on soil. Trees on rock were in a status of medium mixture, whereas shrubs on rock were highly mixed. The opposite trend was observed for trees and shrubs growing on soil. The DBH, TH, and BA were smaller in trees growing on rock than in trees growing on soil. Abiotic environmental variables had varying effects on the diversity and size of trees at the two site types; they only explained 21.76 and 14.30% of total variation, respectively. These results suggest that exposed rock has the effect of reducing tree size, but not diversity, thus highlighting the important role of rock in maintaining diversity; moreover, the results imply that karst microhabitats may mitigate the impacts of topography on tree diversity and growth. Greater attention should be focused on exposed rock in the conservation and management of karst forests and the restoration of degraded forest ecosystems.</p>
</abstract>
<kwd-group>
<kwd>karst</kwd>
<kwd>diversity</kwd>
<kwd>habitat heterogeneity</kwd>
<kwd>stand structure</kwd>
<kwd>tree size</kwd>
<kwd>old-growth forest</kwd>
</kwd-group>
<contract-num rid="cn1">32060340</contract-num>
<contract-num rid="cn1">31901309</contract-num>
<contract-sponsor id="cn1">National Natural Science Foundation of China<named-content content-type="fundref-id">10.13039/501100001809</named-content>
</contract-sponsor>
<counts>
<fig-count count="8"/>
<table-count count="2"/>
<equation-count count="0"/>
<ref-count count="59"/>
<page-count count="15"/>
<word-count count="9545"/>
</counts>
</article-meta>
</front>
<body>
<sec id="sec1" sec-type="intro">
<title>Introduction</title>
<p>Karst is a unique geological landform that results from the erosion and dissolution of bedrock <italic>via</italic> long-term hydrological processes (<xref ref-type="bibr" rid="ref7">Du et al., 2013</xref>; <xref ref-type="bibr" rid="ref11">Geekiyanage et al., 2018</xref>). Karst is extensively distributed worldwide; it occurs in numerous countries and regions (e.g., China, Vietnam, Thailand, Myanmar, Indonesia, the Mediterranean, and Brazil) encompassing a range of climatic zones (e.g., tropical, subtropical, temperate, and cold) in both island and continental regions (<xref ref-type="bibr" rid="ref2">Clements et al., 2006</xref>; <xref ref-type="bibr" rid="ref31">Ni et al., 2015</xref>; <xref ref-type="bibr" rid="ref12">Geekiyanage et al., 2019</xref>; <xref ref-type="bibr" rid="ref24">Li et al., 2019a</xref>; <xref ref-type="bibr" rid="ref14">Gong et al., 2021</xref>; <xref ref-type="bibr" rid="ref48">Zhang et al., 2022</xref>). The total global area of karst is 22,000,000&#x2009;ha (i.e., 12&#x2013;15% of the land surface; <xref ref-type="bibr" rid="ref46">Wang et al., 2016</xref>; <xref ref-type="bibr" rid="ref59">Zhu et al., 2017</xref>). Karst terrain is characterized by steep, irregular surfaces with frequent rock outcrops and thin, discontinuous soils, which create a complex mosaic of heterogeneous habitats at different scales (<xref ref-type="bibr" rid="ref3">Crowther, 1987</xref>). Karst provides a suitable habitat for many wildlife species, including endangered species (<xref ref-type="bibr" rid="ref10">Fitzsimons and Michael, 2017</xref>; <xref ref-type="bibr" rid="ref32">Nie et al., 2018</xref>; <xref ref-type="bibr" rid="ref12">Geekiyanage et al., 2019</xref>); it has been called a &#x201C;Noah&#x2019;s Ark&#x201D; of biodiversity (<xref ref-type="bibr" rid="ref2">Clements et al., 2006</xref>). Tropical and subtropical forests growing on karst terrain (hereafter, karst forests, or KFs) are often biodiversity hotspots (<xref ref-type="bibr" rid="ref52">Zhang et al., 2012a</xref>; <xref ref-type="bibr" rid="ref5">Do Carmo and Jacobi, 2015</xref>; <xref ref-type="bibr" rid="ref16">Guo et al., 2021</xref>); they are ideal sites for biodiversity conservation, ecotourism, and explorations of the relationship between species and habitat complexity.</p>
<p>Heterogeneity in the abiotic environment has profound impacts on several aspects of KFs. Numerous studies have focused on the correlations between soil characteristics (e.g., nutrients, microorganisms, soil enzyme activity, organic matter, and pH) and the type (<xref ref-type="bibr" rid="ref7">Du et al., 2013</xref>; <xref ref-type="bibr" rid="ref50">Zhang et al., 2013</xref>; <xref ref-type="bibr" rid="ref59">Zhu et al., 2017</xref>) and diversity (<xref ref-type="bibr" rid="ref52">Zhang et al., 2012a</xref>; <xref ref-type="bibr" rid="ref5">Do Carmo and Jacobi, 2015</xref>; <xref ref-type="bibr" rid="ref34">Peng et al., 2020</xref>) of above-ground plant communities. They have also focused on the correlations between soil characteristics and non-spatial aspects of tree community structure (e.g., diameter at breast height, DBH; tree height, TH; basal area, BA; and crown width; <xref ref-type="bibr" rid="ref35">Peng et al., 2012</xref>; <xref ref-type="bibr" rid="ref18">Guo et al., 2016</xref>). Other studies have explored the relationships of topographic factors (e.g., slope, elevation, convexity, aspect, and degree of rock exposure) with species distribution, community composition, and biomass (<xref ref-type="bibr" rid="ref51">Zhang et al., 2010</xref>, <xref ref-type="bibr" rid="ref57">2020a</xref>; <xref ref-type="bibr" rid="ref35">Peng et al., 2012</xref>; <xref ref-type="bibr" rid="ref17">Guo et al., 2017</xref>; <xref ref-type="bibr" rid="ref44">Su et al., 2017</xref>). Moreover, some studies have compared the species compositions between sites on exposed rocks and sites on soil (<xref ref-type="bibr" rid="ref37">Porembski et al., 1996</xref>, <xref ref-type="bibr" rid="ref36">1998</xref>; <xref ref-type="bibr" rid="ref32">Nie et al., 2018</xref>). Up to now, however, there is a lack of consensus regarding the relationships between environmental variables and vegetation, which can be attributed to various factors including the complexity of karst terrain; the locality, interference, and degree of vegetation; and the characteristics of sampling (e.g., plot location, size, and shape) (<xref ref-type="bibr" rid="ref2">Clements et al., 2006</xref>; <xref ref-type="bibr" rid="ref31">Ni et al., 2015</xref>; <xref ref-type="bibr" rid="ref6">Du et al., 2017</xref>; <xref ref-type="bibr" rid="ref32">Nie et al., 2018</xref>). The effect of exposed rock, which is the key factor distinguishing karst and non-karst terrain, has been mentioned in numerous studies; it is rarely analyzed quantitatively, particularly at the quadrat scale.</p>
<p>Rock presumably acts as barrier in KF ecosystems, such that it affects surface and underground runoff from rainfall (<xref ref-type="bibr" rid="ref53">Zhang et al., 2012b</xref>, <xref ref-type="bibr" rid="ref54">2020b</xref>), as well as the distribution of soil layers, soil water storage and utilization, soil nutrient and ion exchange (<xref ref-type="bibr" rid="ref46">Wang et al., 2016</xref>; <xref ref-type="bibr" rid="ref59">Zhu et al., 2017</xref>), and plant nutrient allocation (<xref ref-type="bibr" rid="ref58">Zhao et al., 2020</xref>). These changes influence the growth processes (e.g., establishment, regeneration, competition, and mortality) and spatial patterns of tree species and communities (<xref ref-type="bibr" rid="ref8">Fayolle et al., 2012</xref>; <xref ref-type="bibr" rid="ref41">Simon et al., 2019</xref>). The survival and growth of some species depend on the degree of rock exposure (<xref ref-type="bibr" rid="ref39">Ribeiro et al., 2007</xref>; <xref ref-type="bibr" rid="ref40">Sadler and Bradfield, 2010</xref>). Exposed rock provides various microhabitats, including pits, crevices, gullies, surfaces, and walls. It exhibits high heterogeneity with respect to surface roughness and fracture size (<xref ref-type="bibr" rid="ref12">Geekiyanage et al., 2019</xref>); it exerts strong environmental filtering in terms of the intensity of solar radiation, as well as water and nutrient availability (<xref ref-type="bibr" rid="ref13">Gomes and Sobral-Leite, 2013</xref>), such that it is distinct from environments underlain by soil.</p>
<p>Exposed rock provides important habitat for both forbs and woody plants in humid climates (<xref ref-type="bibr" rid="ref9">Felfili et al., 2007</xref>; <xref ref-type="bibr" rid="ref13">Gomes and Sobral-Leite, 2013</xref>; <xref ref-type="bibr" rid="ref32">Nie et al., 2018</xref>). Along with topography, it strengthens the connection between species and their abiotic environment; it substantially contributes to local biodiversity and biomass (<xref ref-type="bibr" rid="ref31">Ni et al., 2015</xref>; <xref ref-type="bibr" rid="ref4">do Carmo et al., 2016</xref>; <xref ref-type="bibr" rid="ref59">Zhu et al., 2017</xref>). However, rupicolous ecosystems are fragile; they are sensitive to disturbances, such as land reclamation, fuelwood harvesting, burning, and grazing (<xref ref-type="bibr" rid="ref44">Su et al., 2017</xref>). Vegetation restoration and reconstruction in disturbed regions become increasingly challenging (<xref ref-type="bibr" rid="ref51">Zhang et al., 2010</xref>), which may lead to serious ecological and economic problems, as well as threats to the survival of local residents (<xref ref-type="bibr" rid="ref31">Ni et al., 2015</xref>; <xref ref-type="bibr" rid="ref54">Zhang et al., 2020b</xref>). Desertification in rock-dominated ecosystems has become a global issue. Fortunately, some old-growth and primary KFs have been preserved in remote mountainous, countryside, and island areas (e.g., southwest China and eastern Brazil; <xref ref-type="bibr" rid="ref27">Liu et al., 2010</xref>; <xref ref-type="bibr" rid="ref13">Gomes and Sobral-Leite, 2013</xref>; <xref ref-type="bibr" rid="ref50">Zhang et al., 2013</xref>). These sites provide an ideal template for the management of degraded karst ecosystems (<xref ref-type="bibr" rid="ref50">Zhang et al., 2013</xref>). Knowledge of the taxonomic and structural diversity of old-growth and primary KFs is limited; the role of rock in supporting, maintaining, and protecting diversity and tree growth remains poorly understood.</p>
<p>There is an either/or relationship between soil and rock in karst landscapes. Trees growing on rock lack a substrate to which they can attach, leading to a lack of nutrient and water sources. Resource limitations are likely to limit the diversity, development, and abundance of trees. Only xerophytic, barren-tolerant, and deeply rooted species, particularly shrubs, may be capable of adapting to such sites. We hypothesized that trees and shrubs growing on rock in old-growth KFs are smaller than trees and shrubs growing on soil, and that both species diversity and structural diversity are reduced in KFs (Hypothesis 1). Furthermore, the complex topography of karst terrain affects the spatial distribution of resources, such as light, heat, water, and soil nutrients. Therefore, we also hypothesized that karst terrain significantly affect patterns in tree size and diversity (Hypothesis 2).</p>
</sec>
<sec id="sec2" sec-type="materials|methods">
<title>Materials and Methods</title>
<sec id="sec3">
<title>Study Site</title>
<p>Our study site was in the Guangxi Yachang Orchid National Nature Reserve (106&#x00B0;11&#x2032; 31&#x2033;&#x2013;106&#x00B0;27&#x2032; 04&#x2033; E, 24&#x00B0;44&#x2032; 16&#x2033;&#x2013;24&#x00B0;53&#x2032; 58&#x201D; N), in Leye County, Guangxi Zhuang Autonomous Region, China. The reserve extends 26.2&#x2009;km from east to west and 18&#x2009;km from north to south, with a total area of 22,062&#x2009;km<sup>2</sup>. The site is within a mountainous area that forms the transition between the Yunnan&#x2013;Guizhou Plateau and the Guangxi Hills. The Nanpan River, which forms the boundary between Guangxi and Guizhou provinces, flows through the area (<xref ref-type="bibr" rid="ref23">Li et al., 2020</xref>). The dominant landforms in Guizhou province are large mountains composed of yellow brown soil, whereas the landscape in Guangxi is dominated by limestone. Substrates generally comprise either rock or a mixture of rock and soil; most areas are densely vegetated. Forest cover can reach 84.7%; it mainly consists of natural secondary forests of <italic>Pinus yunnanensis</italic> var. <italic>tenuifolia</italic> and oaks (<italic>Quercus variabilis</italic> Blume, <italic>Quercus fabri</italic> Hance), shrublands, and a small number of artificial forests. The region is characterized by a central subtropical monsoon climate; it is influenced by monsoon circulation and the foehn effect throughout the year. Humid oceanic air masses prevail in the summer (June&#x2013;September), bringing high temperatures and rain. Cold continental air masses are dominant in the winter (December&#x2013;February), whereas spring (March&#x2013;May) and autumn (October, November) are characterized by severe drought. On average, the region receives 940.8&#x2013;1,216.9&#x2009;mm of rain per year and 1,303.7&#x2013;1,698.7&#x2009;h of sun. The mean annual temperature is approximately 16.3&#x00B0;C, but temperatures can reach highs of &#x003E;40&#x00B0;C and lows of &#x2212;3&#x00B0;C. Temperature and rainfall significantly vary with altitude; soil types also exhibit obvious vertical patterning, shifting from brown laterite in the valley to red and yellow soils on mountaintops. The soils are characterized by thin layers and high permeability, mineral content, and gravel content; they are generally barren (<xref ref-type="bibr" rid="ref23">Li et al., 2020</xref>).</p>
<p>We established a study plot on a large mountain (106&#x00B0;23&#x2032; 12.6&#x2033; E, 24&#x00B0;49&#x2032; 55.3&#x2033; N) at the Huaping Nature Preservation Station. The upper boundary of the site coincided with the mountaintop and an east&#x2013;west ridgeline. The lower boundary ran parallel to slope contours, whereas the left and right boundaries followed an altitudinal gradient. The plot had a mean elevation of 1,293&#x2009;m and a mean slope of approximately 25&#x00B0;. The terrain was highly complex and provided diverse niches. Rock patches and individual rocks were exposed at the surface; they occupied a large portion of the plot and the surrounding area. The soil mainly comprised Rendzina and was rich in gravel (approximately 60%). The forest stand had been undisturbed for a long period of time; it was well-developed, with clear vertical stratification. Canopy cover was approximately 0.8, and the oldest tree (an oak) is estimated to be &#x003E;300&#x2009;years old. The forest may be one of the few old-growth KFs in both the region and in southwestern China. The canopy was dominated by <italic>Q. variabilis</italic> and <italic>Q. fabri</italic>; other common species included <italic>Platycarya strobilacea</italic> Sieb. &#x0026; Zucc., <italic>Keteleeria davidiana</italic> (Bertr.) Beissn, <italic>Rhus chinensis</italic> Mill., <italic>Betula alnoides</italic> Buch.-Ham. ex D. Don, <italic>Liquidambar formosana</italic> Hance, and <italic>Bothrocaryum controversum</italic> (Hemsl.) Pojark. <italic>Lyonia</italic> species, including <italic>Lyonia ovalifolia</italic> (Wall.) Drude and <italic>Lyonia villosa</italic> (Wall. ex C. B. Clarke) Hand.-Mazz., dominated the shrub layer; other shrubs included <italic>Viburnum cylindricum</italic> Buch.-Ham. ex D. Don, <italic>Callicarpa macrophylla</italic> Vahl, and <italic>Archidendron clypearia</italic> (Jack) I. C. Nielsen. The understory supported abundant regeneration and was dominated by <italic>Q. variabilis</italic>, <italic>Q</italic>. <italic>fabri</italic>, <italic>P. strobilacea</italic>, and <italic>Lyonia</italic> spp. The herb layer was sparse and consisted of <italic>Miscanthus floridulus</italic> (Lab.) Warb. ex Schum. &#x0026; Laut. and several small ferns. Lianas were rare; they were mainly represented by <italic>Rubus alceaefolius</italic> Poir., <italic>Rubus coreanus</italic> Miq., <italic>Parthenocissus tricuspidata</italic> (Siebold &#x0026; Zucc.) Planch., and <italic>Lonicera chrysantha</italic> Turcz.</p>
</sec>
<sec id="sec4">
<title>Plot Establishment and Data Collection</title>
<p>The establishment of quadrats <italic>via</italic> the traditional adjacent lattice method is difficult on karst terrain. Therefore, we used an improved method to establish a 200&#x2009;m&#x2009;&#x00D7;&#x2009;110&#x2009;m fixed plot in mid-2019 in an old-growth KF on the upper slope of the mountain (<xref rid="fig1" ref-type="fig">Figure 1</xref>). We first used a total station (NTS-372R<sub>10</sub>, Southern Surveying and Mapping Company, Guangzhou, China) to establish the first boundary (length&#x2009;=&#x2009;200&#x2009;m) of the plot, which followed the slope contour; we then rotated the total station counterclockwise to establish the next boundary. We repeated this process two more times, thus forming a plot with a closure difference of less than 1/400. Next, we used the total station to subdivide the plot into 220 individual 10&#x2009;m&#x2009;&#x00D7;&#x2009;10&#x2009;m quadrats (our ability to obtain coordinates was limited by the terrain). We inserted polyvinyl chloride pipes (<italic>&#x00F8;</italic>&#x2009;=&#x2009;6&#x2009;cm) at the intersections of the quadrats and reinforced the pipes with steel rebar (<italic>&#x00F8;</italic>&#x2009;=&#x2009;1.2&#x2009;cm). We then connected the pipes with plastic ropes to demarcate the boundary of each quadrat. We recorded the coordinates (<italic>x</italic>, <italic>y</italic>, <italic>z</italic>) of standing trees and deadwood (snags and fallen wood) with DBHs &#x2265;1&#x2009;cm using the &#x201C;eccentric mode&#x201D; of the total station. We measured the DBH (cm), crown width (m<sup>2</sup>), and TH (m) of standing trees and snags; we measured the length (m) and end diameters (cm) of fallen deadwood. We also recorded the species and growth status of standing trees (e.g., skew, dead branches, bends, broken shoots, and diseases) and the decay class (I&#x2013;V) of fallen deadwood. Deadwood was identified to the species level based on buds, overall appearance (e.g., bark characteristics, size, and branching), and the species composition of adjacent trees. In addition, we marked each standing tree (DBH&#x2009;&#x2265;&#x2009;5&#x2009;cm) with numbered aluminum tags; we marked saplings (1&#x2009;cm&#x2009;&#x2264;&#x2009;DBH&#x2009;&#x003C;&#x2009;5&#x2009;cm) with numbered plastic plates. Finally, we sketched the location and outline of rock outcrops (surface area&#x2009;&#x2265;&#x2009;0.2&#x2009;m<sup>2</sup>) in each quadrat and determined the geographic coordinates and altitude (m) of each quadrat using a Global Positioning Systems (GPS) device. We recorded 4,596 live trees, 322 snags, and 33 pieces of fallen deadwood representing 62, 19, and 7 species, respectively. Of these, trees constituted 73.22% and shrubs constituted 26.78%. We documented 22 rare species (abundance&#x2009;=&#x2009;1/ha; <xref rid="tab1" ref-type="table">Table 1</xref>). Only data regarding standing trees were analyzed.</p>
<fig position="float" id="fig1">
<label>Figure 1</label>
<caption><p>Species composition and distribution of rock and soil at the study site. Gray and white background colors represent rock and soil, respectively. The colored circles represent tree species, while the black dashed lines represent contours. CMV&#x2009;=&#x2009;<italic>C. macrophylla</italic>, PS&#x2009;=&#x2009;<italic>P. strobilacea</italic>, VM&#x2009;=&#x2009;<italic>V. montana</italic>, CS&#x2009;=&#x2009;<italic>C. septentrionale</italic>, QV&#x2009;=&#x2009;<italic>Q. variabilis</italic>, TG&#x2009;=&#x2009;<italic>T. gymnanthera</italic>, LOV&#x2009;=&#x2009;<italic>L. ovalifolia</italic>, QF&#x2009;=&#x2009;<italic>Q. fabri</italic>, RC&#x2009;=&#x2009;<italic>R. chinensis</italic>, KD&#x2009;=&#x2009;<italic>K. davidiana.</italic></p></caption>
<graphic xlink:href="fpls-13-851781-g001.tif"/>
</fig>
<table-wrap position="float" id="tab1">
<label>Table 1</label>
<caption><p>Species composition of old-growth oak forest located at karst terrain.</p></caption>
<table frame="hsides" rules="groups">
<thead>
<tr>
<th align="left" valign="middle">Species</th>
<th align="center" valign="top">Abbreviation</th>
<th align="center" valign="top"><italic>N</italic></th>
<th align="center" valign="top">MTH</th>
<th align="center" valign="top">MDBH</th>
<th align="center" valign="top">Life form</th>
<th align="center" valign="top">Soil/Rock</th>
</tr>
</thead>
<tbody>
<tr>
<td align="left" valign="top"><italic>P. strobilacea</italic></td>
<td align="center" valign="top">PS</td>
<td align="center" valign="top">1,369</td>
<td align="left" valign="top">4.50</td>
<td align="left" valign="top">2.94</td>
<td align="center" valign="top">Tree</td>
<td align="center" valign="top">+/+</td>
</tr>
<tr>
<td align="left" valign="top"><italic>L. ovalifolia</italic></td>
<td align="center" valign="top">LOV</td>
<td align="center" valign="top">832</td>
<td align="left" valign="top">3.29</td>
<td align="left" valign="top">2.14</td>
<td align="center" valign="top">Shrub</td>
<td align="center" valign="top">+/+</td>
</tr>
<tr>
<td align="left" valign="top"><italic>Q. fabri</italic></td>
<td align="center" valign="top">QF</td>
<td align="center" valign="top">698</td>
<td align="left" valign="top">14.72</td>
<td align="left" valign="top">24.83</td>
<td align="center" valign="top">Tree</td>
<td align="center" valign="top">+/+</td>
</tr>
<tr>
<td align="left" valign="top"><italic>Q. variabilis</italic></td>
<td align="center" valign="top">QV</td>
<td align="center" valign="top">638</td>
<td align="left" valign="top">6.85</td>
<td align="left" valign="top">8.48</td>
<td align="center" valign="top">Tree</td>
<td align="center" valign="top">+/+</td>
</tr>
<tr>
<td align="left" valign="top"><italic>R. chinensis</italic></td>
<td align="center" valign="top">RC</td>
<td align="center" valign="top">203</td>
<td align="left" valign="top">5.04</td>
<td align="left" valign="top">3.53</td>
<td align="center" valign="top">Shrub</td>
<td align="center" valign="top">+/+</td>
</tr>
<tr>
<td align="left" valign="top"><italic>Callicarpa macrophylla Vahl</italic></td>
<td align="center" valign="top">CMV</td>
<td align="center" valign="top">140</td>
<td align="left" valign="top">4.10</td>
<td align="left" valign="top">2.23</td>
<td align="center" valign="top">Shrub</td>
<td align="center" valign="top">+/+</td>
</tr>
<tr>
<td align="left" valign="top"><italic>K. davidiana</italic></td>
<td align="center" valign="top">KD</td>
<td align="center" valign="top">139</td>
<td align="left" valign="top">5.99</td>
<td align="left" valign="top">7.34</td>
<td align="center" valign="top">Tree</td>
<td align="center" valign="top">+/+</td>
</tr>
<tr>
<td align="left" valign="top"><italic>Ternstroemia gymnanthera</italic> (Wight et Arn.) Sprague</td>
<td align="center" valign="top">TG</td>
<td align="center" valign="top">126</td>
<td align="left" valign="top">4.19</td>
<td align="left" valign="top">3.33</td>
<td align="center" valign="top">Tree</td>
<td align="center" valign="top">+/+</td>
</tr>
<tr>
<td align="left" valign="top"><italic>Cinnamomum septentrionale</italic> Hand.-Mazz</td>
<td align="center" valign="top">CS</td>
<td align="center" valign="top">66</td>
<td align="left" valign="top">4.28</td>
<td align="left" valign="top">3.96</td>
<td align="center" valign="top">Tree</td>
<td align="center" valign="top">+/+</td>
</tr>
<tr>
<td align="left" valign="top"><italic>Vernicia montana</italic> Lour.</td>
<td align="center" valign="top">VM</td>
<td align="center" valign="top">53</td>
<td align="left" valign="top">2.81</td>
<td align="left" valign="top">2.21</td>
<td align="center" valign="top">Tree</td>
<td align="center" valign="top">+/+</td>
</tr>
<tr>
<td align="left" valign="top"><italic>B. alnoides</italic></td>
<td align="center" valign="top">BA</td>
<td align="center" valign="top">42</td>
<td align="left" valign="top">5.85</td>
<td align="left" valign="top">4.50</td>
<td align="center" valign="top">Tree</td>
<td align="center" valign="top">+/+</td>
</tr>
<tr>
<td align="left" valign="top"><italic>Myrica rubra</italic> (<italic>Lour.</italic>) <italic>S. et</italic> Zucc.</td>
<td align="center" valign="top">MR</td>
<td align="center" valign="top">30</td>
<td align="left" valign="top">4.44</td>
<td align="left" valign="top">5.59</td>
<td align="center" valign="top">Shrub</td>
<td align="center" valign="top">+/+</td>
</tr>
<tr>
<td align="left" valign="top"><italic>Albizia kalkora</italic></td>
<td align="center" valign="top">AK</td>
<td align="center" valign="top">23</td>
<td align="left" valign="top">3.97</td>
<td align="left" valign="top">2.69</td>
<td align="center" valign="top">Shrub</td>
<td align="center" valign="top">+/+</td>
</tr>
<tr>
<td align="left" valign="top"><italic>Lyonia villosa</italic> (Wall. ex C. B. Clarke) Hand.-Mazz.</td>
<td align="center" valign="top">LV</td>
<td align="center" valign="top">21</td>
<td align="left" valign="top">3.01</td>
<td align="left" valign="top">1.79</td>
<td align="center" valign="top">Shrub</td>
<td align="center" valign="top">+/+</td>
</tr>
<tr>
<td align="left" valign="top"><italic>Populus</italic> L.</td>
<td align="center" valign="top">PL</td>
<td align="center" valign="top">18</td>
<td align="left" valign="top">3.91</td>
<td align="left" valign="top">2.35</td>
<td align="center" valign="top">Tree</td>
<td align="center" valign="top">+/+</td>
</tr>
<tr>
<td align="left" valign="top"><italic>Ailanthus altissima</italic> (Mill.) Swingle</td>
<td align="center" valign="top">AA</td>
<td align="center" valign="top">17</td>
<td align="left" valign="top">11.80</td>
<td align="left" valign="top">12.01</td>
<td align="center" valign="top">Tree</td>
<td align="center" valign="top">+/+</td>
</tr>
<tr>
<td align="left" valign="top"><italic>L. formosana</italic></td>
<td align="center" valign="top">LF</td>
<td align="center" valign="top">15</td>
<td align="left" valign="top">9.12</td>
<td align="left" valign="top">7.87</td>
<td align="center" valign="top">Tree</td>
<td align="center" valign="top">+/+</td>
</tr>
<tr>
<td align="left" valign="top"><italic>Litsea pungens</italic> Hemsl.</td>
<td align="center" valign="top">LP</td>
<td align="center" valign="top">14</td>
<td align="left" valign="top">5.14</td>
<td align="left" valign="top">5.12</td>
<td align="center" valign="top">Tree</td>
<td align="center" valign="top">+/+</td>
</tr>
<tr>
<td align="left" valign="top"><italic>Camptotheca acuminata.</italic></td>
<td align="center" valign="top">CA</td>
<td align="center" valign="top">13</td>
<td align="left" valign="top">5.73</td>
<td align="left" valign="top">3.86</td>
<td align="center" valign="top">Tree</td>
<td align="center" valign="top">+/+</td>
</tr>
<tr>
<td align="left" valign="top"><italic>Mahonia fortunei</italic> (Lindl.) Fedde</td>
<td align="center" valign="top">MF</td>
<td align="center" valign="top">11</td>
<td align="left" valign="top">2.84</td>
<td align="left" valign="top">1.78</td>
<td align="center" valign="top">Shrub</td>
<td align="center" valign="top">+/+</td>
</tr>
<tr>
<td align="left" valign="top"><italic>Broussonetia kazinoki</italic> S. et Z.</td>
<td align="center" valign="top">BK</td>
<td align="center" valign="top">10</td>
<td align="left" valign="top">4.45</td>
<td align="left" valign="top">3.23</td>
<td align="center" valign="top">Shrub</td>
<td align="center" valign="top">+/+</td>
</tr>
<tr>
<td align="left" valign="top"><italic>Prunus tomentosa</italic></td>
<td align="center" valign="top">PT</td>
<td align="center" valign="top">6</td>
<td align="left" valign="top">4.03</td>
<td align="left" valign="top">3.89</td>
<td align="center" valign="top">Shrub</td>
<td align="center" valign="top">+/+</td>
</tr>
<tr>
<td align="left" valign="top"><italic>Lindera nacusua</italic> (D. Don) Merr.</td>
<td align="center" valign="top">LN</td>
<td align="center" valign="top">6</td>
<td align="left" valign="top">5.52</td>
<td align="left" valign="top">4.09</td>
<td align="center" valign="top">Shrub</td>
<td align="center" valign="top">+/+</td>
</tr>
<tr>
<td align="left" valign="top"><italic>Pinus yunnanensis</italic> Franch. <italic>var. tenuifolia</italic></td>
<td align="center" valign="top">PY</td>
<td align="center" valign="top">5</td>
<td align="left" valign="top">9.24</td>
<td align="left" valign="top">19.69</td>
<td align="center" valign="top">Tree</td>
<td align="center" valign="top">+/+</td>
</tr>
<tr>
<td align="left" valign="top"><italic>Coriaria nepalensis</italic> Wall.</td>
<td align="center" valign="top">CN</td>
<td align="center" valign="top">5</td>
<td align="left" valign="top">4.20</td>
<td align="left" valign="top">4.59</td>
<td align="center" valign="top">Shrub</td>
<td align="center" valign="top">+/+</td>
</tr>
<tr>
<td align="left" valign="top"><italic>Kalopanax septemlobus</italic> (Thunb.) Koidz.</td>
<td align="center" valign="top">KS</td>
<td align="center" valign="top">5</td>
<td align="left" valign="top">8.58</td>
<td align="left" valign="top">9.83</td>
<td align="center" valign="top">Tree</td>
<td align="center" valign="top">+/+</td>
</tr>
<tr>
<td align="left" valign="top"><italic>Glochidion puberum</italic> (L.) Hutch.</td>
<td align="center" valign="top">GP</td>
<td align="center" valign="top">5</td>
<td align="left" valign="top">5.14</td>
<td align="left" valign="top">2.68</td>
<td align="center" valign="top">Shrub</td>
<td align="center" valign="top">+/+</td>
</tr>
<tr>
<td align="left" valign="top"><italic>Clerodendrum mandarinorum</italic> Diels</td>
<td align="center" valign="top">CM</td>
<td align="center" valign="top">5</td>
<td align="left" valign="top">5.20</td>
<td align="left" valign="top">4.85</td>
<td align="center" valign="top">Shrub</td>
<td align="center" valign="top">+/+</td>
</tr>
<tr>
<td align="left" valign="top"><italic>Fraxinus insularis</italic> Hemsl.</td>
<td align="center" valign="top">FI</td>
<td align="center" valign="top">5</td>
<td align="left" valign="top">4.26</td>
<td align="left" valign="top">2.21</td>
<td align="center" valign="top">Tree</td>
<td align="center" valign="top">+/+</td>
</tr>
<tr>
<td align="left" valign="top"><italic>Lyonia ovalifolia</italic> (Wall.) Drude <italic>var.</italic></td>
<td align="center" valign="top">LO</td>
<td align="center" valign="top">4</td>
<td align="left" valign="top">2.28</td>
<td align="left" valign="top">2.01</td>
<td align="center" valign="top">Shrub</td>
<td align="center" valign="top">+/&#x2212;</td>
</tr>
<tr>
<td align="left" valign="top"><italic>Chionanthus ramiflorus Roxburgh</italic></td>
<td align="center" valign="top">CR</td>
<td align="center" valign="top">4</td>
<td align="left" valign="top">4.70</td>
<td align="left" valign="top">4.53</td>
<td align="center" valign="top">Shrub</td>
<td align="center" valign="top">&#x2212;/+</td>
</tr>
<tr>
<td align="left" valign="top"><italic>Cinnamomum camphora</italic> (L.) <italic>Presl</italic></td>
<td align="center" valign="top">CC</td>
<td align="center" valign="top">3</td>
<td align="left" valign="top">6.80</td>
<td align="left" valign="top">6.53</td>
<td align="center" valign="top">Tree</td>
<td align="center" valign="top">+/+</td>
</tr>
<tr>
<td align="left" valign="top"><italic>Cinnamomum glanduliferum</italic> (Wall.) <italic>Nees</italic></td>
<td align="center" valign="top">CG</td>
<td align="center" valign="top">3</td>
<td align="left" valign="top">4.30</td>
<td align="left" valign="top">2.56</td>
<td align="center" valign="top">Tree</td>
<td align="center" valign="top">+/+</td>
</tr>
<tr>
<td align="left" valign="top"><italic>Eriobotrya japonica</italic> (Thunb.) Lindl.</td>
<td align="center" valign="top">EJ</td>
<td align="center" valign="top">3</td>
<td align="left" valign="top">2.27</td>
<td align="left" valign="top">1.21</td>
<td align="center" valign="top">Tree</td>
<td align="center" valign="top">&#x2212;/+</td>
</tr>
<tr>
<td align="left" valign="top"><italic>lniphyllum fortunei</italic> (Hemsl.) <italic>Makino</italic></td>
<td align="center" valign="top">IF</td>
<td align="center" valign="top">3</td>
<td align="left" valign="top">2.83</td>
<td align="left" valign="top">1.53</td>
<td align="center" valign="top">Tree</td>
<td align="center" valign="top">+/+</td>
</tr>
<tr>
<td align="left" valign="top"><italic>Cladrastis platycarpa</italic> (Maxim.) <italic>Makino</italic></td>
<td align="center" valign="top">CP</td>
<td align="center" valign="top">3</td>
<td align="left" valign="top">3.77</td>
<td align="left" valign="top">1.95</td>
<td align="center" valign="top">Tree</td>
<td align="center" valign="top">+/+</td>
</tr>
<tr>
<td align="left" valign="top"><italic>Acer davidii Franch.</italic></td>
<td align="center" valign="top">AD</td>
<td align="center" valign="top">3</td>
<td align="left" valign="top">4.83</td>
<td align="left" valign="top">3.00</td>
<td align="center" valign="top">Tree</td>
<td align="center" valign="top">+/+</td>
</tr>
<tr>
<td align="left" valign="top">
<ext-link xlink:href="http://www.cfh.ac.cn/Spdb/26654.sp" ext-link-type="uri"><italic>Ilex micrococca</italic> Maxim</ext-link>.</td>
<td align="center" valign="top">IM</td>
<td align="center" valign="top">9</td>
<td align="left" valign="top">5.37</td>
<td align="left" valign="top">3.38</td>
<td align="center" valign="top">Shrub</td>
<td align="center" valign="top">+/+</td>
</tr>
<tr>
<td align="left" valign="top">Unknown</td>
<td align="center" valign="top">H</td>
<td align="center" valign="top">7</td>
<td align="left" valign="top">7.39</td>
<td align="left" valign="top">6.91</td>
<td align="center" valign="top">Tree</td>
<td align="center" valign="top">+/+</td>
</tr>
<tr>
<td align="left" valign="top">
<ext-link xlink:href="http://www.cfh.ac.cn/Spdb/37782.sp" ext-link-type="uri"><italic>Sinoadina racemosa</italic> (Sieb. et Zucc.) Ridsd</ext-link>.</td>
<td align="center" valign="top">SR</td>
<td align="center" valign="top">6</td>
<td align="left" valign="top">10.18</td>
<td align="left" valign="top">5.77</td>
<td align="center" valign="top">Tree</td>
<td align="center" valign="top">+/+</td>
</tr>
<tr>
<td align="left" valign="top">Rare species</td>
<td/>
<td align="center" valign="top">28</td>
<td align="left" valign="top">5.8</td>
<td align="left" valign="top">5.1</td>
<td/>
<td/>
</tr>
</tbody>
</table>
<table-wrap-foot>
<p>&#x2018;+&#x2019;&#x2009;=&#x2009;occurring, &#x2018;&#x2212;&#x2019;&#x2009;=&#x2009;missing, <italic>N</italic> =&#x2009;abundance, MTH&#x2009;=&#x2009;mean tree height (m), MDBH&#x2009;=&#x2009;mean diameter at breast height (cm).</p>
</table-wrap-foot>
</table-wrap>
</sec>
<sec id="sec5">
<title>Data Analyses</title>
<sec id="sec6">
<title>Extraction of Topographic Factors</title>
<p>We imported the coordinate data into ArcGIS 10.2<xref rid="fn0004" ref-type="fn"><sup>1</sup></xref> to create a digital elevation model of the plot, which we used to extract topographic information (i.e., elevation, convexity, aspect, and slope) for each quadrat. The mean value of the four vertices was used to represent quadrat elevation (m). Convexity was quantified by subtracting the mean elevation of the quadrat from the elevation of the quadrat center. Positive and negative values indicate that the center is higher or lower than the surrounding area, respectively; zero indicates little variation in elevation. Slope (&#x00B0;) was represented by the mean angle of the four planes formed by any three vertices in the quadrat. Aspect was represented by the mean value of the angle between true north and the orientation of the four planes comprising three vertices. We also scanned the field sketches and aligned them to the topographic map; subsequently, we outlined rock and soil patches, then calculated the area of each (6,224 and 15,776&#x2009;m<sup>2</sup>, respectively). To determine whether rock affected taxonomic and structural diversity or tree size, we defined rock quadrats as quadrats in which rock constituted &#x2265;50% of the substrate. Quadrats with &#x003C;50% rock cover were considered soil quadrats. In total, 61 rock quadrats (6,100&#x2009;m<sup>2</sup>) and 159 soil quadrats (15,900&#x2009;m<sup>2</sup>) were surveyed.</p>
</sec>
<sec id="sec7">
<title>Taxonomic and Structural Diversity and Tree Size</title>
<p>Taxonomic (species) and structural diversity are key components of forest diversity. We used four traditional species diversity indices (i.e., richness, abundance, the Shannon&#x2013;Wiener index [<italic>H</italic>&#x2032;], and the Pielou evenness index [<italic>E</italic><sub>H</sub>]) to describe the diversity of tree species at the plot and quadrat scales (<xref rid="tab2" ref-type="table">Table 2</xref>). These indices are widely used in ecology and forestry; they have been explored in great detail (<xref ref-type="bibr" rid="ref22">Li et al., 2021</xref>). Diversity indices were calculated using the <italic>diversity</italic> function in the <italic>vegan</italic> package (<xref ref-type="bibr" rid="ref33">Oksanen et al., 2019</xref>) in R.<xref rid="fn0005" ref-type="fn"><sup>2</sup></xref> We analyzed the spatial relationship between a reference tree <italic>i</italic> and its four nearest neighbors using a set of stand spatial structure parameters, including the uniform angle index, dominance, and mingling; these represent relative spatial position, size differentiation, and species mixture, respectively (<xref rid="tab2" ref-type="table">Table 2</xref>). The advantage of stand spatial structure parameters is that they allow the calculation of three-parameter values for each tree based on explicit biological information. They may also be expressed in various ways, including mean values and univariate-, bivariate-, and trivariate distributions (<xref ref-type="bibr" rid="ref20">Hui et al., 2019</xref>; <xref ref-type="bibr" rid="ref23">Li et al., 2020</xref>, <xref ref-type="bibr" rid="ref22">2021</xref>; <xref ref-type="bibr" rid="ref55">Zhang and Hui, 2021</xref>). We calculated parameter values for each tree in the stand and mean values for each quadrat, as well as the parameter values for all trees and shrubs occurring on rock and soil, respectively. In addition, we calculated tree size indicators for each quadrat, including mean TH, DBH, and BA.</p>
<table-wrap position="float" id="tab2">
<label>Table 2</label>
<caption><p>Species diversity indices and stand spatial structure parameters used in this study.</p></caption>
<table frame="hsides" rules="groups">
<thead>
<tr>
<th/>
<th align="left" valign="top">Formula</th>
<th align="center" valign="top">Explanation</th>
<th align="center" valign="top">References</th>
</tr>
</thead>
<tbody>
<tr>
<td align="left" valign="top" rowspan="4">SDI</td>
<td align="left" valign="top">
<inline-formula>
<mml:math id="M1">
<mml:mi>R</mml:mi>
<mml:mo>=</mml:mo>
<mml:munderover>
<mml:mstyle displaystyle="true">
<mml:mo stretchy="true">&#x2211;</mml:mo>
</mml:mstyle>
<mml:mrow>
<mml:mi>i</mml:mi>
<mml:mo>=</mml:mo>
<mml:mn>1</mml:mn>
</mml:mrow>
<mml:mi>s</mml:mi>
</mml:munderover>
<mml:mn>1</mml:mn>
</mml:math>
</inline-formula>
</td>
<td align="left" valign="top"><italic>R</italic>&#x2009;=&#x2009;richness, <italic>S</italic>&#x2009;=&#x2009;number of species.</td>
<td align="left" valign="top">any statistical book</td>
</tr>
<tr>
<td align="left" valign="top">
<inline-formula>
<mml:math id="M2">
<mml:mi>N</mml:mi>
<mml:mo>=</mml:mo>
<mml:munderover>
<mml:mstyle displaystyle="true">
<mml:mo stretchy="true">&#x2211;</mml:mo>
</mml:mstyle>
<mml:mrow>
<mml:mi>i</mml:mi>
<mml:mo>=</mml:mo>
<mml:mn>1</mml:mn>
</mml:mrow>
<mml:mi>s</mml:mi>
</mml:munderover>
<mml:msub>
<mml:mi>n</mml:mi>
<mml:mi>i</mml:mi>
</mml:msub>
</mml:math>
</inline-formula>
</td>
<td align="left" valign="top"><italic>N</italic>&#x2009;=&#x2009;all trees, abundance; <italic>n<sub>i</sub></italic>&#x2009;=&#x2009;number of tree in species <italic>i</italic>.</td>
<td align="left" valign="top">any statistical book</td>
</tr>
<tr>
<td align="left" valign="top">
<inline-formula>
<mml:math id="M3">
<mml:mi>H</mml:mi>
<mml:mo>'</mml:mo>
<mml:mo>=</mml:mo>
<mml:mo>&#x2212;</mml:mo>
<mml:munderover>
<mml:mstyle displaystyle="true">
<mml:mo stretchy="true">&#x2211;</mml:mo>
</mml:mstyle>
<mml:mrow>
<mml:mi>i</mml:mi>
<mml:mo>=</mml:mo>
<mml:mn>1</mml:mn>
</mml:mrow>
<mml:mi>s</mml:mi>
</mml:munderover>
<mml:msub>
<mml:mi>p</mml:mi>
<mml:mi>i</mml:mi>
</mml:msub>
<mml:mo>ln</mml:mo>
<mml:mfenced open="(" close=")">
<mml:msub>
<mml:mi>p</mml:mi>
<mml:mi>i</mml:mi>
</mml:msub>
</mml:mfenced>
</mml:math>
</inline-formula>
</td>
<td align="left" valign="top">
<inline-formula>
<mml:math id="M4">
<mml:msup>
<mml:mi>H</mml:mi>
<mml:mo>&#x2032;</mml:mo>
</mml:msup>
</mml:math>
</inline-formula> = Shannon&#x2013;Wiener index, <italic>S</italic>&#x2009;=&#x2009;number of species, <italic>p<sub>i</sub></italic>&#x2009;=&#x2009;proportion of individuals in the <italic>i</italic>th species.</td>
<td align="left" valign="top">
<xref ref-type="bibr" rid="ref23">Li et al., 2020</xref>, <xref ref-type="bibr" rid="ref22">2021</xref>
</td>
</tr>
<tr>
<td align="left" valign="top">
<inline-formula>
<mml:math id="M5">
<mml:msub>
<mml:mi>E</mml:mi>
<mml:mi mathvariant="normal">H</mml:mi>
</mml:msub>
<mml:mo>=</mml:mo>
<mml:mfrac>
<mml:mrow>
<mml:mo>&#x2212;</mml:mo>
<mml:mo stretchy="true">&#x2211;</mml:mo>
<mml:mrow>
<mml:msub>
<mml:mi>p</mml:mi>
<mml:mi>i</mml:mi>
</mml:msub>
</mml:mrow>
<mml:mo>log</mml:mo>
<mml:msub>
<mml:mi>p</mml:mi>
<mml:mi>i</mml:mi>
</mml:msub>
</mml:mrow>
<mml:mrow>
<mml:mo>ln</mml:mo>
<mml:mi>S</mml:mi>
</mml:mrow>
</mml:mfrac>
</mml:math>
</inline-formula>
</td>
<td align="left" valign="top">
<inline-formula>
<mml:math id="M6">
<mml:msub>
<mml:mi>E</mml:mi>
<mml:mi mathvariant="normal">H</mml:mi>
</mml:msub>
</mml:math>
</inline-formula> = Pielou evenness index, <italic>S</italic>&#x2009;=&#x2009;number of species, <italic>p<sub>i</sub></italic>&#x2009;=&#x2009;proportion of individuals in the <italic>i</italic>th species.</td>
<td align="left" valign="top">
<xref ref-type="bibr" rid="ref23">Li et al., 2020</xref>, <xref ref-type="bibr" rid="ref22">2021</xref>
</td>
</tr>
<tr>
<td align="left" valign="top" rowspan="3">SSSPs</td>
<td align="left" valign="top">
<inline-formula>
<mml:math id="M7">
<mml:msub>
<mml:mi>W</mml:mi>
<mml:mi>i</mml:mi>
</mml:msub>
<mml:mo>=</mml:mo>
<mml:mfrac>
<mml:mn>1</mml:mn>
<mml:mn>4</mml:mn>
</mml:mfrac>
<mml:munderover>
<mml:mstyle displaystyle="true">
<mml:mo stretchy="true">&#x2211;</mml:mo>
</mml:mstyle>
<mml:mrow>
<mml:mi>j</mml:mi>
<mml:mo>=</mml:mo>
<mml:mn>1</mml:mn>
</mml:mrow>
<mml:mn>4</mml:mn>
</mml:munderover>
<mml:msub>
<mml:mi>Z</mml:mi>
<mml:mrow>
<mml:mi>i</mml:mi>
<mml:mi>j</mml:mi>
</mml:mrow>
</mml:msub>
</mml:math>
</inline-formula>
</td>
<td align="left" valign="top"><italic>W</italic>&#x2009;=&#x2009;Uniform angle index; when the <italic>j</italic>th angle <inline-formula>
<mml:math id="M8">
<mml:mi>&#x03B1;</mml:mi>
</mml:math>
</inline-formula> is smaller than the <italic>i</italic>th standard angle <inline-formula>
<mml:math id="M9">
<mml:msub>
<mml:mi>&#x03B1;</mml:mi>
<mml:mn>0</mml:mn>
</mml:msub>
</mml:math>
</inline-formula>, <italic>z<sub>ij</sub></italic> is equal to one. Or, <italic>z<sub>ij</sub></italic> is 0.</td>
<td align="left" valign="top">
<xref ref-type="bibr" rid="ref20">Hui et al., 2019</xref>
<break/>
<xref ref-type="bibr" rid="ref23">Li et al., 2020</xref>, <xref ref-type="bibr" rid="ref22">2021</xref>
</td>
</tr>
<tr>
<td align="left" valign="top">
<inline-formula>
<mml:math id="M10">
<mml:msub>
<mml:mi>U</mml:mi>
<mml:mi>i</mml:mi>
</mml:msub>
<mml:mo>=</mml:mo>
<mml:mfrac>
<mml:mn>1</mml:mn>
<mml:mn>4</mml:mn>
</mml:mfrac>
<mml:munderover>
<mml:mstyle displaystyle="true">
<mml:mo stretchy="true">&#x2211;</mml:mo>
</mml:mstyle>
<mml:mrow>
<mml:mi>j</mml:mi>
<mml:mo>=</mml:mo>
<mml:mn>1</mml:mn>
</mml:mrow>
<mml:mn>4</mml:mn>
</mml:munderover>
<mml:msub>
<mml:mi>K</mml:mi>
<mml:mrow>
<mml:mi>i</mml:mi>
<mml:mi>j</mml:mi>
</mml:mrow>
</mml:msub>
</mml:math>
</inline-formula>
</td>
<td align="left" valign="top"><italic>U</italic>&#x2009;=&#x2009;Dominance; when the reference tree <italic>i</italic> is smaller than the neighbor tree <italic>j</italic>, <italic>k<sub>ij</sub></italic> is equal to one. Or, <italic>k<sub>ij</sub></italic> is 0.</td>
<td align="left" valign="top">
<xref ref-type="bibr" rid="ref20">Hui et al., 2019</xref>
<break/>
<xref ref-type="bibr" rid="ref23">Li et al., 2020</xref>, <xref ref-type="bibr" rid="ref22">2021</xref>
</td>
</tr>
<tr>
<td align="left" valign="top">
<inline-formula>
<mml:math id="M11">
<mml:msub>
<mml:mi>M</mml:mi>
<mml:mi>i</mml:mi>
</mml:msub>
<mml:mo>=</mml:mo>
<mml:mfrac>
<mml:mn>1</mml:mn>
<mml:mn>4</mml:mn>
</mml:mfrac>
<mml:munderover>
<mml:mstyle displaystyle="true">
<mml:mo stretchy="true">&#x2211;</mml:mo>
</mml:mstyle>
<mml:mrow>
<mml:mi>j</mml:mi>
<mml:mo>=</mml:mo>
<mml:mn>1</mml:mn>
</mml:mrow>
<mml:mn>4</mml:mn>
</mml:munderover>
<mml:msub>
<mml:mi>V</mml:mi>
<mml:mrow>
<mml:mi>i</mml:mi>
<mml:mi>j</mml:mi>
</mml:mrow>
</mml:msub>
</mml:math>
</inline-formula>
</td>
<td align="left" valign="top"><italic>M</italic>&#x2009;=&#x2009;Mingling; when the neighbor <italic>j</italic> is not the same species as the reference tree <italic>i</italic>, <italic>v<sub>ij</sub></italic> is equal to one. Or, <italic>v<sub>ij</sub></italic> is 0.</td>
<td align="left" valign="top">
<xref ref-type="bibr" rid="ref20">Hui et al., 2019</xref>
<break/>
<xref ref-type="bibr" rid="ref23">Li et al., 2020</xref>, <xref ref-type="bibr" rid="ref22">2021</xref>
</td>
</tr>
</tbody>
</table>
</table-wrap>
</sec>
</sec>
<sec id="sec8">
<title>Relationship Between Habitat and Diversity</title>
<p>We considered rock and soil to be distinct site types; we estimated the linear relationships between the topographic attributes of each type and the mean values of the diversity (richness, abundance, <italic>H</italic>&#x2032;, <italic>E</italic><sub>H</sub>), structural, and tree size (DBH, TH, BA) indices. We then explored differences between site types using the <italic>Kruskal</italic>.<italic>test</italic> function. Furthermore, we considered the area of rock and soil and the four topographic attributes (slope, aspect, convexity, and elevation) as indicators of the abiotic environment; we used redundancy analysis to determine the degree to which these abiotic variables explained variations in species distributions, structural diversity, and tree size. The <italic>envfit</italic> function in the <italic>vegan</italic> package was used to test the significance of each variable. We applied non-metric multidimensional scaling to analyze the distributions of tree species on rock and soil using the <italic>rad</italic> and <italic>metaMDS</italic> functions in the <italic>vegan</italic> package (<xref ref-type="bibr" rid="ref33">Oksanen et al., 2019</xref>), respectively. In addition, we analyzed the univariate distributions of stand spatial structure parameters for trees and shrubs growing in the two site types, then tested their similarity using the <italic>ks</italic>.<italic>test</italic> function.</p>
</sec>
</sec>
<sec id="sec9" sec-type="results">
<title>Results</title>
<sec id="sec10">
<title>Species Diversity on Rock and Soil</title>
<p>Species richness was similar between rock (53 spp.) and soil (51 spp.; <xref rid="fig2" ref-type="fig">Figure 2A</xref>; <italic>p<sub>kw</sub></italic>&#x2009;=&#x2009;0.275). Soil had seven more spp. than rock if counted by quadrat (<xref rid="fig2" ref-type="fig">Figure 2E</xref>). We detected significantly more trees on soil (3,169) than on rock (1,427, <xref rid="fig2" ref-type="fig">Figure 2B</xref>; <italic>p<sub>kw</sub></italic>&#x2009;=&#x2009;0.044). However, abundance on a per-hectare basis was very similar between rock and soil, based on both the actual area and the number of quadrats of each site type (rock: abundance&#x2009;=&#x2009;2,010&#x2013;2,292/ha, <xref rid="fig2" ref-type="fig">Figure 2B</xref>; soil: abundance&#x2009;=&#x2009;2,064&#x2013;2,155/ha, <xref rid="fig2" ref-type="fig">Figure 2F</xref>). Values for <italic>H</italic>&#x2032; (rock: 2.111&#x2013;2.157; soil: 2.168&#x2013;2.177; <italic>p<sub>kw</sub></italic>&#x2009;=&#x2009;0.575) and <italic>E</italic><sub>H</sub> (rock: 0.537&#x2013;0.563; soil: 0.546&#x2013;0.546) were also very similar (<xref rid="fig2" ref-type="fig">Figures 2C</xref>,<xref rid="fig2" ref-type="fig">D</xref>,<xref rid="fig2" ref-type="fig">G</xref>,<xref rid="fig2" ref-type="fig">H</xref>).</p>
<fig position="float" id="fig2">
<label>Figure 2</label>
<caption><p>Species diversity on rock and soil. <italic>H</italic>&#x2032; = ShannonWiener index, and <italic>E</italic><sub>H</sub> = Pielou evenness index.</p></caption>
<graphic xlink:href="fpls-13-851781-g002.tif"/>
</fig>
<p>The richness and abundance of both site types increased along an elevation gradient (1260&#x2013;1,350&#x2009;m; <xref rid="fig3" ref-type="fig">Figures 3A</xref>,<xref rid="fig3" ref-type="fig">E</xref>), but richness was higher on rock than on soil (<xref rid="fig3" ref-type="fig">Figure 3A</xref>). Increases in convexity from &#x2212;4 to 2 corresponded to rapid increases in richness and abundance on rock (2&#x2013;11 and 6&#x2013;61, respectively), but they only corresponded to minor increases on soil (<xref rid="fig3" ref-type="fig">Figures 3B</xref>,<xref rid="fig3" ref-type="fig">F</xref>). We observed decreases in richness as the aspect increased from 140 to 340 (<xref rid="fig3" ref-type="fig">Figure 3G</xref>), whereas richness varied little on soil but exhibited a slight increase on rock (<xref rid="fig3" ref-type="fig">Figure 3C</xref>). The richness and abundance of soil increased slightly with increasing slope (8&#x2013;50&#x00B0;), whereas the richness and abundance of rock exhibited a slight decline with increasing slope (<xref rid="fig3" ref-type="fig">Figures 3D</xref>,<xref rid="fig3" ref-type="fig">H</xref>).</p>
<fig position="float" id="fig3">
<label>Figure 3</label>
<caption><p>The relationships of richness and abundance with topographic variables. <italic>p<sub>kw</sub></italic>&#x2009;&#x003E;&#x2009;0.05, 0.01&#x2009;&#x003C;&#x2009;<italic>p<sub>kw</sub> &#x003C;</italic> 0.05, and <italic>p<sub>kw</sub></italic>&#x2009;&#x003C;&#x2009;0.01 represent non-significant, significant, and highly significant differences, respectively.</p></caption>
<graphic xlink:href="fpls-13-851781-g003.tif"/>
</fig>
<p>The <italic>H</italic>&#x2032; of communities on rock exhibited a slight increase with increasing elevation (0.307&#x2013;2.202), while the <italic>H</italic>&#x2032; of communities on soil exhibited the opposite trend (<xref rid="fig4" ref-type="fig">Figure 4A</xref>). Decreases in <italic>E</italic><sub>H</sub> were more pronounced in communities on soil than in communities on rock (<xref rid="fig4" ref-type="fig">Figure 4E</xref>). E<sub>H</sub> decreased as convexity increased (<xref rid="fig4" ref-type="fig">Figure 4F</xref>), as did the <italic>H</italic>&#x2032; of communities on soil (0.451&#x2013;2.281), whereas the <italic>H</italic>&#x2032; of communities on rock increased (<xref rid="fig4" ref-type="fig">Figure 4B</xref>). <italic>H</italic>&#x2032; and <italic>E</italic><sub>H</sub> increased gradually with aspect (<xref rid="fig4" ref-type="fig">Figures 4C</xref>,<xref rid="fig4" ref-type="fig">G</xref>). <italic>E</italic><sub>H</sub> decreased as slope increased (<xref rid="fig4" ref-type="fig">Figure 4H</xref>). The <italic>H</italic>&#x2032; of communities on rock also decreased with slope, whereas the <italic>H</italic>&#x2032; of communities on soil gradually increased (<xref rid="fig4" ref-type="fig">Figure 4D</xref>).</p>
<fig position="float" id="fig4">
<label>Figure 4</label>
<caption><p>The relationships of <italic>H</italic>&#x2032; and <italic>E</italic><sub>H</sub> with topographic variables. <italic>p<sub>kw</sub></italic>&#x2009;&#x003E;&#x2009;0.05, 0.01&#x2009;&#x003C;&#x2009;<italic>p<sub>kw</sub> &#x003C;</italic> 0.05, and <italic>p<sub>kw</sub></italic>&#x2009;&#x003C;&#x2009;0.01 represent non-significant, significant, and highly significant differences, respectively. <italic>H</italic>&#x2032; = ShannonWiener index, and <italic>E</italic><sub>H</sub> = Pielou evenness index.</p></caption>
<graphic xlink:href="fpls-13-851781-g004.tif"/>
</fig>
</sec>
<sec id="sec11">
<title>Stand Spatial Structure Parameters of Communities on Rock and Soil</title>
<p>The uniform angle index of communities on rock and soil exhibited a unimodal pattern (<xref rid="fig5" ref-type="fig">Figure 5A</xref>), with mean values (0.519 and 0.523, respectively) similar to the values of a random distribution (0.475&#x2013;0.517). The distribution and mean values of uniform angle index (0.482&#x2013;0.489) were also very similar (<xref rid="fig5" ref-type="fig">Figure 5B</xref>; <italic>p<sub>ks</sub></italic>&#x2009;=&#x2009;0.921). Most individuals (50.62&#x2013;57.93%) were in a state of low&#x2013;medium mixture (<italic>M</italic>&#x2009;=&#x2009;0.00&#x2013;0.50); the mean mingling of communities on rock (0.514) was significantly lower than the mean mingling of communities on soil (0.578; <xref rid="fig5" ref-type="fig">Figure 5C</xref>). The uniform angle index of trees and shrubs growing on rock and soil were very similar to the uniform angle index of trees and shrubs in the forest stand (<xref rid="fig5" ref-type="fig">Figures 5D</xref>,<xref rid="fig5" ref-type="fig">G</xref>). Higher values of dominance corresponded to increased shrub frequency and decreased tree frequency (<xref rid="fig5" ref-type="fig">Figures 5E</xref>,<xref rid="fig5" ref-type="fig">H</xref>). Shrub frequency on rocks (6.75&#x2013;38.04%) increased gradually with increasing mingling, whereas tree frequency exhibited a decreasing trend (<xref rid="fig5" ref-type="fig">Figure 5F</xref>). The mingling of shrubs growing on soil did not significantly vary (15.08&#x2013;23.17%), whereas the mingling of trees exhibited a gradual increase (<xref rid="fig5" ref-type="fig">Figure 5I</xref>).</p>
<fig position="float" id="fig5">
<label>Figure 5</label>
<caption><p>Univariate distributions of the stand spatial structure parameters of trees and shrubs on rock and soil. The red and black dashed lines represent the mean values of each parameter. <italic>p<sub>ks</sub></italic>&#x2009;&#x003E;&#x2009;0.05, 0.01&#x2009;&#x003C;&#x2009;<italic>p<sub>ks</sub> &#x003C;</italic> 0.05, and <italic>p<sub>ks</sub></italic>&#x2009;&#x003C;&#x2009;0.01 represent non-significant, significant, and highly significant differences, respectively.</p></caption>
<graphic xlink:href="fpls-13-851781-g005.tif"/>
</fig>
<p>Topographic variables had little effect on uniform angle index or dominance: the models showed a clear, horizontal trend in which values of uniform angle index and dominance remain nearly constant at approximately 0.5 (<xref rid="fig6" ref-type="fig">Figures 6A</xref>&#x2013;<xref rid="fig6" ref-type="fig">H</xref>). We observed no significant differences in uniform angle index or dominance between communities on rock and soil (<italic>p<sub>kw</sub></italic>&#x2009;=&#x2009;0.316&#x2013;0.887). Topographic variables also had little influence on mingling (<xref rid="fig6" ref-type="fig">Figures 6I</xref>&#x2013;<xref rid="fig6" ref-type="fig">L</xref>). The mingling of trees growing on soil, which ranged from 0.188 to 0.944, decreased with increasing elevation and convexity (<xref rid="fig6" ref-type="fig">Figures 6I</xref>,<xref rid="fig6" ref-type="fig">J</xref>); however, it slightly increased with increasing aspect and slope (<xref rid="fig6" ref-type="fig">Figures 6K</xref>,<xref rid="fig6" ref-type="fig">L</xref>). The mingling of species growing on rock exhibited slight increases in response to all four topographic variables (0.150&#x2013;0.944; <xref rid="fig6" ref-type="fig">Figures 6I</xref>&#x2013;<xref rid="fig6" ref-type="fig">L</xref>).</p>
<fig position="float" id="fig6">
<label>Figure 6</label>
<caption><p>The relationships of stand spatial structure parameters with topographic variables. <italic>p<sub>kw</sub></italic>&#x2009;&#x003E;&#x2009;0.05, 0.01&#x2009;&#x003C;&#x2009;<italic>p<sub>kw</sub> &#x003C;</italic> 0.05, and <italic>p<sub>kw</sub></italic>&#x2009;&#x003C;&#x2009;0.01 represent non-significant, significant, and highly significant differences, respectively.</p></caption>
<graphic xlink:href="fpls-13-851781-g006.tif"/>
</fig>
</sec>
<sec id="sec12">
<title>Tree Size on Rock and Soil</title>
<p>Tree size slightly decreased with increasing elevation in both site types. Linear models indicated that trees growing on soil were larger than trees growing on rock at most elevations (1260&#x2013;1,325&#x2009;m; <xref rid="fig7" ref-type="fig">Figures 7A</xref>,<xref rid="fig7" ref-type="fig">E</xref>,<xref rid="fig7" ref-type="fig">I</xref>); there were significant differences in DBH and BA (<italic>p</italic><sub>kw</sub>&#x2009;=&#x2009;0.017&#x2013;0.028). Tree size decreased with increasing convexity, and the decrease was more apparent in trees growing on rock than in trees growing on soil (<xref rid="fig7" ref-type="fig">Figures 7B</xref>,<xref rid="fig7" ref-type="fig">F</xref>,<xref rid="fig7" ref-type="fig">J</xref>). Changes in tree size among aspects were minor, but trees growing on soil were generally larger than trees growing on rock (<xref rid="fig7" ref-type="fig">Figures 7C</xref>,<xref rid="fig7" ref-type="fig">G</xref>,<xref rid="fig7" ref-type="fig">K</xref>). The size of trees growing on rock markedly increased with increasing slope (DBH&#x2009;=&#x2009;2.54&#x2013;30.44&#x2009;cm; BA&#x2009;=&#x2009;0.006&#x2013;1.053&#x2009;m<sup>2</sup>; TH&#x2009;=&#x2009;3.60&#x2013;15.28&#x2009;m), whereas the size of trees on soil exhibited a decreasing trend (<xref rid="fig7" ref-type="fig">Figures 7D</xref>,<xref rid="fig7" ref-type="fig">H</xref>,<xref rid="fig7" ref-type="fig">L</xref>). TH did not significantly differ between the two site types (<italic>p</italic><sub>kw</sub>&#x2009;=&#x2009;0.655).</p>
<fig position="float" id="fig7">
<label>Figure 7</label>
<caption><p>The relationships of tree size with topographic variables. <italic>p<sub>kw</sub></italic>&#x2009;&#x003E;&#x2009;0.05, 0.01&#x2009;&#x003C;&#x2009;<italic>p<sub>kw</sub> &#x003C;</italic> 0.05, and <italic>p<sub>kw</sub></italic>&#x2009;&#x003C;&#x2009;0.01 represent non-significant, significant, and highly significant differences, respectively. <italic>DBH</italic> = diameter at breast height, <italic>BA</italic> = basal area, and <italic>TH</italic> = tree height.</p></caption>
<graphic xlink:href="fpls-13-851781-g007.tif"/>
</fig>
</sec>
<sec id="sec13">
<title>The Influence of the Abiotic Environment on Diversity and Tree Size</title>
<p>At the quadrat scale, four environmental variables (area of rock and soil, elevation, and slope) significantly affected the distributions of species diversity and tree size (<italic>p</italic>&#x2009;&#x003C;&#x2009;0.05). The other two environmental factors (convexity and aspect) had little effect (<italic>p</italic>&#x2009;&#x003E;&#x2009;0.05). The environmental variables explained 13.27% of total variation (RDA1&#x2009;=&#x2009;12.79%; RDA2&#x2009;=&#x2009;0.48%; <xref rid="fig8" ref-type="fig">Figure 8A</xref>). With respect to site type, slope was positively correlated with the DBH and TH of trees growing on rock, whereas elevation and convexity were positively correlated with the abundance of trees (<xref rid="fig8" ref-type="fig">Figure 8B</xref>). Slope was positively correlated with the richness and negatively correlated with the DBH of trees growing on soil. Elevation was positively correlated with the abundance of trees growing on soil (<xref rid="fig8" ref-type="fig">Figure 8C</xref>). Of the environmental variables considered, the area of rock explained 21.76% of total variation, while the area of soil explained 14.3%. Most species were clumped, with some dominant species (e.g., <italic>P. strobilacea</italic> and <italic>R. chinensis</italic>) concentrated on rock, and others (e.g., <italic>R. chinensis</italic>, <italic>Q. variabilis</italic>, and <italic>Q. fabri</italic>) concentrated on soil. The 22 rare species occurred primarily in the rock quadrats; the remaining species were evenly distributed between the two site types.</p>
<fig position="float" id="fig8">
<label>Figure 8</label>
<caption><p>Redundancy analysis ordinations illustrating the influences of environmental variables (area of soil and rock, elevation, convexity, aspect, and slope, represented by blue arrows) on diversity (richness (R), abundance (N), <italic>H</italic>&#x2032;, <italic>E</italic><sub>H</sub>, uniform angle index (W), mingling (M), and dominance (U), represented by red arrows) and tree size (TH, DBH, and BA, represented by red arrows; <bold>A&#x2013;C)</bold>. Non-metric multidimensional scaling ordinations of compositional patterns in the rock and soil quadrats <bold>(D)</bold>. Blue letters represent the 10 most abundant species, red letters represent rare species (<italic>N</italic>&#x2009;&#x2264;&#x2009;1/ha; <italic>R</italic>&#x2009;=&#x2009;22), and black letters represent other species (3&#x2009;&#x2264;&#x2009;N&#x2009;&#x003C;&#x2009;50; <italic>R</italic>&#x2009;=&#x2009;30). The solid gray circles represent rock quadrats, and the cyan triangles represent soil quadrats.</p></caption>
<graphic xlink:href="fpls-13-851781-g008.tif"/>
</fig>
</sec>
</sec>
<sec id="sec14" sec-type="discussions">
<title>Discussion</title>
<sec id="sec15">
<title>The Relationship Between Karst Habitats and Species Diversity</title>
<p>Areas underlain by rock and soil represent two fundamentally different site types in karst terrain, but their plant communities were similar in terms of richness and abundance per unit area (<xref rid="fig2" ref-type="fig">Figures 2A</xref>,<xref rid="fig2" ref-type="fig">B</xref>,<xref rid="fig2" ref-type="fig">E</xref>,<xref rid="fig2" ref-type="fig">F</xref>). These findings demonstrate that rock does not reduce plant density or richness; moreover, rock has a crucial role in the maintenance of species diversity in old-growth KFs. Many species in karst habitats exhibit a set of mechanisms that are adaptive within particular environments. For example, species may be rupicolous, or exhibit drought tolerance (with respect to photosynthetic performance, xylem hydraulic characteristics, osmotic regulation, antioxidant enzymes, or leaf structure (<xref ref-type="bibr" rid="ref27">Liu et al., 2010</xref>; <xref ref-type="bibr" rid="ref45">Vilhar et al., 2010</xref>; <xref ref-type="bibr" rid="ref11">Geekiyanage et al., 2018</xref>; <xref ref-type="bibr" rid="ref57">Zhang et al., 2020a</xref>), barren tolerance (<xref ref-type="bibr" rid="ref35">Peng et al., 2012</xref>; <xref ref-type="bibr" rid="ref59">Zhu et al., 2017</xref>), leaf shed during the dry season (<xref ref-type="bibr" rid="ref9">Felfili et al., 2007</xref>), reduced growth or dwarfing (<xref ref-type="bibr" rid="ref9">Felfili et al., 2007</xref>; <xref ref-type="bibr" rid="ref28">Liu et al., 2018</xref>; <xref ref-type="bibr" rid="ref54">Zhang et al., 2020b</xref>), or improved root&#x2013;shoot ratios (<xref ref-type="bibr" rid="ref31">Ni et al., 2015</xref>). We also found that some species (e.g., <italic>P. strobilacea</italic> and <italic>R. chinensis</italic>) maintain their dominance and increase their probability of regeneration through high seed production. Patterns of species richness and abundance in karst landscapes may be the result of long-term processes. Vegetation establishes faster and more readily on soil than on rock (<xref ref-type="bibr" rid="ref32">Nie et al., 2018</xref>). This helps to improve the microhabitats found on exposed rock, presumably through mechanisms that include generating vegetative cover and trapping litter to form humus and soil (<xref ref-type="bibr" rid="ref31">Ni et al., 2015</xref>; <xref ref-type="bibr" rid="ref59">Zhu et al., 2017</xref>); it also provides some provenances, promotes subsequent species establishment, and results in a pattern of multi-species coexistence in late succession. In addition, the abundance patterns of dominant species markedly differed between sites (<xref rid="fig1" ref-type="fig">Figure 1</xref>), suggesting that species exhibit habitat preferences and are more abundant in their preferred sites (<xref ref-type="bibr" rid="ref51">Zhang et al., 2010</xref>).</p>
<p>Topography is an important source of habitat heterogeneity at small and medium scales; it indirectly influences species composition, abundance, and distributions. Several studies have demonstrated that altitude is the most important topographic factor in subtropical primary KFs (<xref ref-type="bibr" rid="ref49">Zhang et al., 2007</xref>, <xref ref-type="bibr" rid="ref51">2010</xref>; <xref ref-type="bibr" rid="ref35">Peng et al., 2012</xref>). Increasing elevation corresponds to increased rainfall, light, heat, and wind speeds, which accelerate the decomposition of rocks and increase their surface roughness (<xref ref-type="bibr" rid="ref4">do Carmo et al., 2016</xref>); these changes promote the growth of light- and drought-tolerant species (i.e., most species at our study site) and increase their abundances. We found that species richness and abundance on rock and soil increased with increasing elevation (<xref rid="fig3" ref-type="fig">Figures 3A</xref>,<xref rid="fig3" ref-type="fig">E</xref>), indicating that most species prefer to grow on mountaintops. Similar phenomena have been observed in other primary and mature KFs in adjacent regions (<xref ref-type="bibr" rid="ref51">Zhang et al., 2010</xref>; <xref ref-type="bibr" rid="ref6">Du et al., 2017</xref>; <xref ref-type="bibr" rid="ref15">Guo et al., 2019</xref>). Specialized karst habitats can support more species (<xref ref-type="bibr" rid="ref2">Clements et al., 2006</xref>; <xref ref-type="bibr" rid="ref5">Do Carmo and Jacobi, 2015</xref>; <xref ref-type="bibr" rid="ref6">Du et al., 2017</xref>). In contrast, low-altitude areas are susceptible to seasonal waterlogging, flooding, erosion, shading by large trees, and rockslides, which may restrict the number of species that can persist in these habitats (<xref ref-type="bibr" rid="ref11">Geekiyanage et al., 2018</xref>; <xref ref-type="bibr" rid="ref15">Guo et al., 2019</xref>). Species growing on soil occurred preferentially on convex surfaces (<xref rid="fig3" ref-type="fig">Figures 3B</xref>,<xref rid="fig3" ref-type="fig">F</xref>, <xref rid="fig3" ref-type="fig">8B</xref>), southwest-facing slopes (<xref rid="fig3" ref-type="fig">Figures 3C</xref>,<xref rid="fig3" ref-type="fig">G</xref>), and steep slopes (<xref rid="fig3" ref-type="fig">Figures 3D</xref>,<xref rid="fig3" ref-type="fig">H</xref>), further underlining the habitat preferences exhibited by species that grow in karst terrain.</p>
<p><italic>H</italic>&#x2032; and <italic>E</italic><sub>H</sub> were nearly identical among the two site types (<xref rid="fig2" ref-type="fig">Figures 2C</xref>,<xref rid="fig2" ref-type="fig">D</xref>,<xref rid="fig2" ref-type="fig">G</xref>,<xref rid="fig2" ref-type="fig">H</xref>), indicating that rock does not reduce species diversity; this finding contradicts our first hypothesis. The increased <italic>H</italic>&#x2032; on rock is attributable to the presence of rare species at high altitudes (<xref rid="fig4" ref-type="fig">Figure 4A</xref>), which provides additional evidence that the complex niches found in rock outcrops promote higher species diversity (<xref ref-type="bibr" rid="ref51">Zhang et al., 2010</xref>; <xref ref-type="bibr" rid="ref42">Speziale and Ezcurra, 2012</xref>; <xref ref-type="bibr" rid="ref46">Wang et al., 2016</xref>). Soil provides comparatively simple microhabitats, such that species are more strongly influenced by topography. Increased elevation supported greater proportions of some dominant species (i.e., <italic>L. ovalifolia</italic> and <italic>Q. fabri</italic>), as well as greater imbalances in interspecific abundance (<xref ref-type="bibr" rid="ref43">Stein et al., 2014</xref>); these changes resulted in decreased <italic>E</italic><sub>H</sub> (<xref rid="fig4" ref-type="fig">Figure 4E</xref>). Aspect influences the duration and intensity of light to which plant communities are exposed. While our study site encompassed a diversity of aspects (<xref rid="fig3" ref-type="fig">Figures 3</xref>, <xref rid="fig4" ref-type="fig">4</xref>, <xref rid="fig6" ref-type="fig">6</xref>, <xref rid="fig7" ref-type="fig">7</xref>), these had little effect on <italic>H</italic>&#x2032; or <italic>E</italic><sub>H</sub>. This may be related to the high light conditions characteristic of subtropical mountaintops, and the resulting lack of differences in light conditions among quadrats with different aspects (<xref ref-type="bibr" rid="ref18">Guo et al., 2016</xref>). Both slope and concavity are closely related to site fertility and moisture levels (<xref ref-type="bibr" rid="ref18">Guo et al., 2016</xref>), although they weakly influence these two indicators (<xref rid="fig4" ref-type="fig">Figures 4B</xref>,<xref rid="fig4" ref-type="fig">D</xref>,<xref rid="fig4" ref-type="fig">F</xref>,<xref rid="fig4" ref-type="fig">H</xref>). Thus, topographic factors exhibited distinct effects on the <italic>H</italic>&#x2032; and <italic>E</italic><sub>H</sub> of communities growing on soil and rock. There are few relevant studies on karst, and no consensus has been reached (<xref ref-type="bibr" rid="ref35">Peng et al., 2012</xref>; <xref ref-type="bibr" rid="ref7">Du et al., 2013</xref>; <xref ref-type="bibr" rid="ref50">Zhang et al., 2013</xref>; <xref ref-type="bibr" rid="ref18">Guo et al., 2016</xref>), reflecting the complexity and species diversity of karst habitats.</p>
</sec>
<sec id="sec16">
<title>The Relationship Between Karst Habitats and Stand Structural Diversity</title>
<p>The spatial structural diversity of forest communities is attracting increasing attention (<xref ref-type="bibr" rid="ref23">Li et al., 2020</xref>; <xref ref-type="bibr" rid="ref55">Zhang and Hui, 2021</xref>). The distributions of uniform angle index values of the trees and shrubs at our site are consistent with the distributions of uniform angle index values in natural forests that have remained undisturbed for a long period of time (<xref ref-type="bibr" rid="ref26">Li et al., 2014</xref>, <xref ref-type="bibr" rid="ref23">2020</xref>; <xref ref-type="bibr" rid="ref56">Zhang et al., 2018</xref>; <xref ref-type="bibr" rid="ref47">Yang et al., 2019</xref>). They were largely distributed at random (<xref rid="fig5" ref-type="fig">Figure 5</xref>), indicating that site and lifeform have little influence on distributional patterns. The proportion of random trees (<italic>Wi</italic>&#x2009;=&#x2009;0.50) to the total number of plants determined the type of distributional pattern. Recent studies have reported that random trees are the cornerstones of non-karst natural forests; they have no relationship to forest type, geographical distribution, species composition, diameter, canopy crowding, competition, or tree point patterns (<xref ref-type="bibr" rid="ref56">Zhang et al., 2018</xref>; <xref ref-type="bibr" rid="ref55">Zhang and Hui, 2021</xref>), strongly supporting our results. <xref ref-type="bibr" rid="ref23">Li et al. (2020)</xref> also found that tree size was unrelated to distributional patterns in a neighboring mixed forest. However, at very small minimum tree diameters, the proportion of random trees may substantially diminish, whereas the proportion of clustered trees increases (<xref ref-type="bibr" rid="ref25">Li et al., 2019b</xref>). Although we do not know the specific conditions for the development of random distributional patterns in KFs, such patterns are undoubtedly the result of the long-term interspecific, intraspecific, and species&#x2013;environment interactions (<xref ref-type="bibr" rid="ref17">Guo et al., 2017</xref>). Our findings validate the &#x201C;random structural framework stability&#x201D; hypothesis with respect to site and life form (<xref ref-type="bibr" rid="ref21">Hui et al., 2021</xref>).</p>
<p>The size differentiation of neighboring trees in the old-growth KF was balanced (<xref rid="fig5" ref-type="fig">Figure 5B</xref>), such that trees of different sizes were randomly distributed throughout the plot. This is a common feature of many non-karst natural forests (<xref ref-type="bibr" rid="ref26">Li et al., 2014</xref>, <xref ref-type="bibr" rid="ref23">2020</xref>; <xref ref-type="bibr" rid="ref56">Zhang et al., 2018</xref>; <xref ref-type="bibr" rid="ref47">Yang et al., 2019</xref>). Trees always occupy a dominant position in areas underlain by soil (<xref rid="fig5" ref-type="fig">Figures 5E</xref>,<xref rid="fig5" ref-type="fig">H</xref>), which indicates that rock inhibits development and reduces competition between adjacent trees. It also implies that the relationships of lifeforms are unequal, which is consistent with our first hypothesis. Species mixture may reflect the adaptative strategies of species to habitats underlain by rock versus soil. The high degree of species mixture in communities growing on soil (<xref rid="fig5" ref-type="fig">Figure 5C</xref>) reduced conspecific competition and mortality, while improving species diversity and the survival rates of weaker competitors (<xref ref-type="bibr" rid="ref38">Ravent&#x00F3;s et al., 2010</xref>). The low degree of mixture observed on rock (<xref rid="fig5" ref-type="fig">Figure 5C</xref>) helps to reduce adversity (<xref ref-type="bibr" rid="ref30">Medina et al., 2006</xref>) and improves the probability of survival. Intraspecific aggregation is an important characteristic of species&#x2019; spatial distributions in KFs (<xref ref-type="bibr" rid="ref51">Zhang et al., 2010</xref>; <xref ref-type="bibr" rid="ref17">Guo et al., 2017</xref>; <xref ref-type="bibr" rid="ref29">Lu et al., 2021</xref>); it is common in communities growing in harsh habitats (e.g., xeric, halomorphic, or alpine; <xref ref-type="bibr" rid="ref1">Callaway et al., 2002</xref>; <xref ref-type="bibr" rid="ref16">Guo et al., 2021</xref>). Deadwood is uncommon on rock, suggesting that intraspecific associations are typically facilitative, rather than competitive. Surprisingly, topography had only a weak effect on spatial structural diversity (<xref rid="fig6" ref-type="fig">Figures 6A</xref>&#x2013;<xref rid="fig6" ref-type="fig">L</xref>, <xref rid="fig8" ref-type="fig">8A&#x2013;C</xref>). In addition to the spatial architecture and rocks typical of karst terrain, some ecological processes unique to karst (e.g., its dualistic hydrological structure; <xref ref-type="bibr" rid="ref12">Geekiyanage et al., 2019</xref>), as well as its complex physical structure and the scale of sampling, may also reduce the explanatory power of these variables (<xref ref-type="bibr" rid="ref7">Du et al., 2013</xref>, <xref ref-type="bibr" rid="ref6">2017</xref>; <xref ref-type="bibr" rid="ref46">Wang et al., 2016</xref>; <xref ref-type="bibr" rid="ref17">Guo et al., 2017</xref>). Furthermore, positive correlations among topographic factors may reduce their interpretability (<xref rid="fig8" ref-type="fig">Figures 8B</xref>,<xref rid="fig8" ref-type="fig">C</xref>). To our knowledge, few studies have investigated the relationship between spatial structural diversity and habitat.</p>
</sec>
<sec id="sec17">
<title>The Relationship Between Karst Habitats and Tree Size</title>
<p>Trees growing on rock were smaller than trees growing on soil (<xref rid="fig7" ref-type="fig">Figure 7</xref>), which indicates that growth is reduced or delayed on rock, consistent with size differentiation and our first hypothesis. Other studies have also reported that trees growing on rock are slenderer and have lower biomass than do trees growing on soil or in nearby, non-karst forests (<xref ref-type="bibr" rid="ref31">Ni et al., 2015</xref>; <xref ref-type="bibr" rid="ref4">do Carmo et al., 2016</xref>). While rock is rich in a small number of nutrients (e.g., calcium and magnesium), it is insufficient in most others (<xref ref-type="bibr" rid="ref7">Du et al., 2013</xref>; <xref ref-type="bibr" rid="ref50">Zhang et al., 2013</xref>). Nutrient availability is the main factor that restricts the growth of trees in karst terrain (<xref ref-type="bibr" rid="ref19">Huang et al., 2008</xref>; <xref ref-type="bibr" rid="ref35">Peng et al., 2012</xref>; <xref ref-type="bibr" rid="ref10">Fitzsimons and Michael, 2017</xref>). Increased area of exposed rock is associated with lower resource availability, leading to smaller trees (<xref rid="fig8" ref-type="fig">Figure 8A</xref>). Conversely, increased soil cover is associated with adequate nutrient sources, thus improving growth (<xref rid="fig8" ref-type="fig">Figure 8A</xref>). Most species occurred on both rock and soil (<xref rid="tab1" ref-type="table">Table 1</xref>), but some dominant species were in different life stages in the two site types, resulting in size differences. For example, many individuals of the dominant species in the canopy (e.g., <italic>Q. variabilis</italic> and <italic>Q. fabri</italic>) and understory (<italic>L. ovalifolia</italic>) were over-mature on soil; in contrast, individuals growing on rock were reaching maturity during the study period and most (e.g., <italic>P. strobilacea</italic> and <italic>R. chinensis</italic>) were young trees. The diameter distributions of primary and secondary KFs reportedly exhibit an inverted J shape (<xref ref-type="bibr" rid="ref52">Zhang et al., 2012a</xref>; <xref ref-type="bibr" rid="ref28">Liu et al., 2018</xref>), but the previous studies did not consider the effect of site differences on the distributions of trees of various sizes. In conclusion, species composition and tree size on rock may change with succession, and rock contributed to growth differences at our study site.</p>
<p>Steeper slopes are associated with smaller trees (<xref rid="fig8" ref-type="fig">Figure 8C</xref>). Substrate, nutrients, and soil water are easily lost from steep slopes because of runoff; they accumulate in low-lying areas, changing the spatial patterns of plant nutrient availability, thus affecting spatial patterns in tree size (<xref ref-type="bibr" rid="ref50">Zhang et al., 2013</xref>; <xref ref-type="bibr" rid="ref5">Do Carmo and Jacobi, 2015</xref>; <xref ref-type="bibr" rid="ref17">Guo et al., 2017</xref>; <xref ref-type="bibr" rid="ref11">Geekiyanage et al., 2018</xref>). This trend is illustrated by large <italic>L. formosana</italic> occurrence in the lowlands and <italic>L. ovalifolia</italic> occurrence at higher elevations. Patterns in tree size distribution have been extensively explained from an ecophysiological perspective (<xref ref-type="bibr" rid="ref27">Liu et al., 2010</xref>; <xref ref-type="bibr" rid="ref11">Geekiyanage et al., 2018</xref>). Species on steep, rocky slopes are larger than species in other rocky areas (<xref rid="fig8" ref-type="fig">Figure 8B</xref>). These slopes are prone to water erosion, creating additional textures and crevices that encourage the growth of rupicolous species. The effect of rocky microhabitats on tree growth should clearly not be ignored. Larger trees exhibit higher biomass and higher BA. <xref ref-type="bibr" rid="ref15">Guo et al. (2019)</xref> reported higher BA on steep slopes in the Nonggang karst plot (Guangxi, China), but they did not consider site type. The other three terrain factors (elevation, convexity, and aspect) had weak relationships with tree size (<xref rid="fig8" ref-type="fig">Figures 8B</xref>,<xref rid="fig8" ref-type="fig">C</xref>). The effects of topographic factors on tree growth are often inconsistent (<xref ref-type="bibr" rid="ref18">Guo et al., 2016</xref>). Karst rocks are themselves highly variable and haphazard (<xref ref-type="bibr" rid="ref12">Geekiyanage et al., 2019</xref>), a characteristic that influences species composition, distribution, and growth at multiple scales.</p>
</sec>
</sec>
<sec id="sec18" sec-type="conclusions">
<title>Conclusion</title>
<p>Rock may be the greatest obstacle to the restoration of degraded karst ecosystems. Rock underlies a large amount of woodland; it also hinders the establishment, growth, and species associations of trees. However, numerous woody plants occur on rock and soil in old-growth and primary KFs. We found that rock and soil were equally important for promoting diversity, although the underlying mechanisms differed. Rock increases species diversity by providing more microhabitats, thus promoting increased numbers of rare species. Rare species on rock are scattered; the common species on rock are smaller and less abundant. They were clumped, exhibited high regeneration, and were better adapted to utilizing the rock habitat. In contrast, individuals growing on soil were larger, with smaller differences in interspecific abundance and higher species mixture, similar to the structural characteristics of mature non-karst forests. Species growing on soil may contribute more to biomass accumulation and carbon sinks. Notably, we found that trees occur preferentially on rock, whereas shrubs occur preferentially on soil. Trees are presumably able to grow roots deep into the rocks; this allows them to absorb water and nutrients, while increasing their structural stability. Conversely, shrubs can only access water and nutrients from the topsoil. This reflects the different strategies of trees and shrubs, as well as the effects of habitat differentiation. These findings will help to guide the restoration of degraded karst ecosystems, including the order of species establishment in different site types, as well as species selection and spatial distribution; they will also aid in the evaluation of restoration success. In general, topography has little effect on the diversity and size of trees in old-growth KFs. Future studies could explore the effects of soil and biological factors (e.g., seed dispersal and density dependence) on biodiversity, biomass, carbon, and mortality among sites.</p>
</sec>
<sec id="sec19" sec-type="data-availability">
<title>Data Availability Statement</title>
<p>The original contributions presented in the study are included in the article/supplementary material; further inquiries can be directed to the corresponding author.</p>
</sec>
<sec id="sec20">
<title>Author Contributions</title>
<p>JL drafted the manuscript. LZ analyzed data. YL conceived the idea and revised the manuscript. All authors contributed to the article and approved the submitted version.</p>
</sec>
<sec id="sec21" sec-type="funding-information">
<title>Funding</title>
<p>This paper was financially supported by the National Natural Science Foundation of China (nos. 32060340 and 31901309).</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>
<p>The reviewer YD declared a shared affiliation with the author LZ to the handling editor at the time of review.</p>
</sec>
<sec id="sec23" sec-type="disclaimer">
<title>Publisher&#x2019;s Note</title>
<p>All claims expressed in this article are solely those of the authors and do not necessarily represent those of their affiliated organizations, or those of the publisher, the editors and the reviewers. Any product that may be evaluated in this article, or claim that may be made by its manufacturer, is not guaranteed or endorsed by the publisher.</p>
</sec>
</body>
<back>
<ack>
<p>We appreciate the help of Deyi Zhu, Junmo Xu, Siyu Pan, Ji&#x2019;an He, and Haipeng Yang from College of Forestry, Guangxi University for data collection.</p>
</ack>
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