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<front>
<journal-meta>
<journal-id journal-id-type="publisher-id">Front. Microbiol.</journal-id>
<journal-title>Frontiers in Microbiology</journal-title>
<abbrev-journal-title abbrev-type="pubmed">Front. Microbiol.</abbrev-journal-title>
<issn pub-type="epub">1664-302X</issn>
<publisher>
<publisher-name>Frontiers Media S.A.</publisher-name>
</publisher>
</journal-meta>
<article-meta>
<article-id pub-id-type="doi">10.3389/fmicb.2021.736393</article-id>
<article-categories>
<subj-group subj-group-type="heading">
<subject>Microbiology</subject>
<subj-group>
<subject>Original Research</subject>
</subj-group>
</subj-group>
</article-categories>
<title-group>
<article-title>Diversity Scaling Analysis of Chinese Gut Microbiomes Across Ethnicities and Lifestyles</article-title>
</title-group>
<contrib-group>
<contrib contrib-type="author">
<name><surname>Xiao</surname> <given-names>Wanmeng</given-names></name>
<xref ref-type="aff" rid="aff1"><sup>1</sup></xref>
<xref ref-type="aff" rid="aff2"><sup>2</sup></xref>
<xref ref-type="author-notes" rid="fn002"><sup>&#x2020;</sup></xref>
<uri xlink:href="http://loop.frontiersin.org/people/1135975/overview"/>
</contrib>
<contrib contrib-type="author">
<name><surname>Gao</surname> <given-names>Depei</given-names></name>
<xref ref-type="aff" rid="aff3"><sup>3</sup></xref>
<xref ref-type="author-notes" rid="fn002"><sup>&#x2020;</sup></xref>
</contrib>
<contrib contrib-type="author">
<name><surname>Chen</surname> <given-names>Hongju (Daisy)</given-names></name>
<xref ref-type="aff" rid="aff1"><sup>1</sup></xref>
<xref ref-type="aff" rid="aff2"><sup>2</sup></xref>
</contrib>
<contrib contrib-type="author">
<name><surname>Qiao</surname> <given-names>Yuting</given-names></name>
<xref ref-type="aff" rid="aff1"><sup>1</sup></xref>
<xref ref-type="aff" rid="aff2"><sup>2</sup></xref>
</contrib>
<contrib contrib-type="author" corresp="yes">
<name><surname>Ma</surname> <given-names>Zhanshan (Sam)</given-names></name>
<xref ref-type="aff" rid="aff1"><sup>1</sup></xref>
<xref ref-type="aff" rid="aff2"><sup>2</sup></xref>
<xref ref-type="aff" rid="aff4"><sup>4</sup></xref>
<xref ref-type="corresp" rid="c001"><sup>&#x002A;</sup></xref>
</contrib>
<contrib contrib-type="author" corresp="yes">
<name><surname>Duan</surname> <given-names>Lincan</given-names></name>
<xref ref-type="aff" rid="aff5"><sup>5</sup></xref>
<xref ref-type="corresp" rid="c002"><sup>&#x002A;</sup></xref>
</contrib>
</contrib-group>
<aff id="aff1"><sup>1</sup><institution>Computational Biology and Medical Ecology Lab, State Key Laboratory of Genetic Resources and Evolution, Kunming Institute of Zoology, Chinese Academy of Sciences</institution>, <addr-line>Kunming</addr-line>, <country>China</country></aff>
<aff id="aff2"><sup>2</sup><institution>Kunming College of Life Sciences, University of Chinese Academy of Sciences</institution>, <addr-line>Kunming</addr-line>, <country>China</country></aff>
<aff id="aff3"><sup>3</sup><institution>Radiology Department, The 3rd-Affiliated Hospital of Kunming Medical University</institution>, <addr-line>Kunming</addr-line>, <country>China</country></aff>
<aff id="aff4"><sup>4</sup><institution>Center for Excellence in Animal Evolution and Genetics, Chinese Academy of Sciences</institution>, <addr-line>Kunming</addr-line>, <country>China</country></aff>
<aff id="aff5"><sup>5</sup><institution>The 2nd Thoracic Surgery Department, The 3rd-Affiliated Hospital of Kunming Medical University</institution>, <addr-line>Kunming</addr-line>, <country>China</country></aff>
<author-notes>
<fn fn-type="edited-by"><p>Edited by: Lifeng Zhu, Nanjing Normal University, China</p></fn>
<fn fn-type="edited-by"><p>Reviewed by: Zhenlin Liao, South China Agricultural University, China; Wei Zhu, Chengdu Institute of Biology, China</p></fn>
<corresp id="c001">&#x002A;Correspondence: Zhanshan (Sam) Ma, <email>ma@vandals.uidaho.edu</email></corresp>
<corresp id="c002">Lincan Duan, <email>duanmumuhuosan@163.com</email></corresp>
<fn fn-type="equal" id="fn002"><p><sup>&#x2020;</sup>These authors have contributed equally to this work</p></fn>
<fn fn-type="other" id="fn004"><p>This article was submitted to Microbial Symbioses, a section of the journal Frontiers in Microbiology</p></fn>
</author-notes>
<pub-date pub-type="epub">
<day>08</day>
<month>12</month>
<year>2021</year>
</pub-date>
<pub-date pub-type="collection">
<year>2021</year>
</pub-date>
<volume>12</volume>
<elocation-id>736393</elocation-id>
<history>
<date date-type="received">
<day>15</day>
<month>07</month>
<year>2021</year>
</date>
<date date-type="accepted">
<day>21</day>
<month>10</month>
<year>2021</year>
</date>
</history>
<permissions>
<copyright-statement>Copyright &#x00A9; 2021 Xiao, Gao, Chen, Qiao, Ma and Duan.</copyright-statement>
<copyright-year>2021</copyright-year>
<copyright-holder>Xiao, Gao, Chen, Qiao, Ma and Duan</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>Diversity scaling (changes) of human gut microbiome is important because it measures the inter-individual heterogeneity of diversity and other important parameters of population-level diversity. Understanding the heterogeneity of microbial diversity can be used as a reference for the personalized medicine of microbiome-associated diseases. Similar to diversity <italic>per se</italic>, diversity scaling may also be influenced by host factors, especially lifestyles and ethnicities. Nevertheless, this important topic regarding Chinese populations has not been addressed, to our best knowledge. Here, we fill the gap by applying a recent extension to the classic species&#x2013;area relationship (SAR), i.e., diversity&#x2013;area relationship (DAR), to reanalyze a large dataset of Chinese gut microbiomes covering the seven biggest Chinese ethnic groups (covering &#x003E; 95% Chinese) living rural and urban lifestyles. Four DAR profiles were constructed to investigate the diversity scaling, diversity overlap, potential maximal diversity, and the ratio of local to global diversity of Chinese gut microbiomes. We discovered the following: (<italic>i</italic>) The diversity scaling parameters (<italic>z</italic>) at various taxon levels are little affected by either ethnicity or lifestyles, as exhibited by less than 0.5% differences in pairwise comparisons. (<italic>ii</italic>) The maximal accrual diversity (potential diversity) exhibited difference in only about 5% of pairwise comparisons, and all of the differences occurred in ethnicity comparisons (i.e., lifestyles had no effects). (<italic>iii</italic>) Ethnicity seems to have stronger effects than lifestyles across all taxon levels, and this may reflect the reality that China has been experiencing rapid urbanization in the last few decades, while the ethnic-related genetic background may change relatively little during the same period.</p>
</abstract>
<kwd-group>
<kwd>Chinese gut microbiomes</kwd>
<kwd>diversity scaling</kwd>
<kwd>diversity&#x2013;area relationship (DAR)</kwd>
<kwd>ethnicity</kwd>
<kwd>lifestyle</kwd>
</kwd-group>
<counts>
<fig-count count="9"/>
<table-count count="2"/>
<equation-count count="7"/>
<ref-count count="54"/>
<page-count count="14"/>
<word-count count="8686"/>
</counts>
</article-meta>
</front>
<body>
<sec id="S1" sec-type="intro">
<title>Introduction</title>
<p>The microbes that inhabit in and on the human body constitute the human microbiota. Thanks to the development of the Human Microbiome Project (HMP), we have opened up a new era in the study of human microbes (<xref ref-type="bibr" rid="B47">Turnbaugh et al., 2007</xref>). As a vital component of the human microbiome, the human gut microbiome has been extensively studied. Many studies exposed the truth that the gut microbiome has an important influence on the occurrence or development of inflammatory bowel disease, type 2 diabetes, obesity, epilepsy, and other diseases (<xref ref-type="bibr" rid="B23">Hollister et al., 2014</xref>; <xref ref-type="bibr" rid="B37">Ni et al., 2017</xref>; <xref ref-type="bibr" rid="B21">Heintz-Buschart and Wilmes, 2018</xref>; <xref ref-type="bibr" rid="B4">Canfora et al., 2019</xref>; <xref ref-type="bibr" rid="B9">Dahlin and Prast-Nielsen, 2019</xref>; <xref ref-type="bibr" rid="B18">Gurung et al., 2020</xref>; <xref ref-type="bibr" rid="B40">Rackaityte and Lynch, 2020</xref>). As far as we know, inter-individual heterogeneities in diversity scaling and abundance also existed in healthy populations (<xref ref-type="bibr" rid="B1">Arumugam et al., 2011</xref>; <xref ref-type="bibr" rid="B24">Human Microbiome Project Consortium, 2012</xref>; <xref ref-type="bibr" rid="B53">Zhang et al., 2015</xref>). Since we were born, we have been constantly building our own microbial network. Factors such as diet, lifestyle, genetics, geography, and ethnic origin all play significant roles in shaping the human gut microbiomes (<xref ref-type="bibr" rid="B51">Yatsunenko et al., 2012</xref>; <xref ref-type="bibr" rid="B36">Miller et al., 2016</xref>; <xref ref-type="bibr" rid="B10">De Filippo et al., 2017</xref>; <xref ref-type="bibr" rid="B25">Kabwe et al., 2020</xref>).</p>
<p>A typical analysis of unweighted UniFrac principal coordinates for 314 individuals showed that individual microbial communities were clustered mainly based on their ethnicity/geography rather than lifestyle, and the principal component analysis and principal coordinates analysis (PCoA) revealed that there is a large inter-individual compositional variation (<xref ref-type="bibr" rid="B53">Zhang et al., 2015</xref>). In the process of identifying the relative contributions of various factors, a recent study has found that, compared with host genetics, &#x201C;environment&#x201D; has a stronger ability to shape the human gut microbiome, and more than 20% of the inter-individual heterogeneities in microorganisms can be attributed to diet, drugs, and anthropometric measurements (<xref ref-type="bibr" rid="B41">Rothschild et al., 2018</xref>). By analyzing the gut microbiome of 7,009 individuals from 14 districts in one Chinese province, <xref ref-type="bibr" rid="B20">He et al. (2018)</xref> found that the geographical location of the host had the strongest correlation with gut microbiota variation. Researchers investigated the fecal microbiome of 2,084 different ethnic individuals and found that individuals living in the same city tended to have similar gut microbiome characteristics, regardless of ethnic origins (<xref ref-type="bibr" rid="B12">Deschasaux et al., 2018</xref>). Similar to bacterial communities, fungi in urban and rural South African individuals also exhibit different community structures (<xref ref-type="bibr" rid="B25">Kabwe et al., 2020</xref>). The human gut microbiome has been extensively and intensively studied from various aspects in the last decade, especially the ethnic differences among different races/ethnicities (<xref ref-type="bibr" rid="B50">Yap et al., 2011</xref>; <xref ref-type="bibr" rid="B51">Yatsunenko et al., 2012</xref>; <xref ref-type="bibr" rid="B28">Li et al., 2014</xref>; <xref ref-type="bibr" rid="B38">Obregon-Tito et al., 2015</xref>; <xref ref-type="bibr" rid="B15">Gomez et al., 2016</xref>; <xref ref-type="bibr" rid="B17">Gupta et al., 2017</xref>; <xref ref-type="bibr" rid="B14">Gaulke and Sharpton, 2018</xref>; <xref ref-type="bibr" rid="B30">Lin et al., 2020</xref>; <xref ref-type="bibr" rid="B54">Zuo et al., 2020</xref>; <xref ref-type="bibr" rid="B44">Sun et al., 2021</xref>). A recent study found that 20 host factors were significantly associated with human enterovirus variation, with geographic factors having the greatest impact and ethnically diverse diets associated with specific viral species (<xref ref-type="bibr" rid="B54">Zuo et al., 2020</xref>).</p>
<p>Understanding the relationship between human microbiome and various factors has far-reaching significance such as promoting personalized precision medicine (<xref ref-type="bibr" rid="B22">Herd et al., 2018</xref>). With the deepening of our understanding of the microbiome and advances in science and technology, microbiome-based diagnostic applications have been proposed in the diagnosis and prognosis of inflammatory bowel disease, pre-screening of colorectal cancer, treatment selection of melanoma, and early diagnosis and risk assessment of metabolic and cardiovascular diseases (<xref ref-type="bibr" rid="B26">Konstantinov et al., 2013</xref>; <xref ref-type="bibr" rid="B45">Tang et al., 2013</xref>; <xref ref-type="bibr" rid="B13">Dubinsky and Braun, 2015</xref>; <xref ref-type="bibr" rid="B3">Bouter et al., 2017</xref>; <xref ref-type="bibr" rid="B49">Versalovic et al., 2017</xref>; <xref ref-type="bibr" rid="B42">Routy et al., 2018</xref>). Based on metagenomic analysis, <xref ref-type="bibr" rid="B52">Yu et al. (2017)</xref> have even explored the potential of fecal microbiome as biomarkers for early diagnosis of colorectal cancer.</p>
<p>The objective of this study is to investigate the effects of ethnicities and lifestyles on the diversity scaling of the Chinese gut microbiomes. To achieve this objective, we choose to reanalyze a large dataset of over 300 Chinese covering the top seven most populous Chinese ethnic groups living rural or urban lifestyles, which was originally published by <xref ref-type="bibr" rid="B53">Zhang et al. (2015)</xref>. Methodically, we apply the diversity&#x2013;area relationship (DAR) approach extended by <xref ref-type="bibr" rid="B31">Ma (2018</xref>, <xref ref-type="bibr" rid="B33">2019b)</xref> to reanalyze the <xref ref-type="bibr" rid="B53">Zhang et al. (2015)</xref> datasets. As an extension to the classic species&#x2013;area relationship (SAR), the DAR model adopted Hill numbers as diversity measures to compensate for the limitation that SAR considers only species richness but ignores species richness in practical application.</p>
</sec>
<sec id="S2" sec-type="materials|methods">
<title>Materials and Methods</title>
<sec id="S2.SS1">
<title>The Chinese Gut Microbiome Dataset</title>
<p>We performed a secondary analysis of the Chinese gut dataset of 314 healthy young volunteers published by <xref ref-type="bibr" rid="B53">Zhang et al. (2015)</xref>. The unrelated volunteers came from urban (145 samples) and rural (169 samples) areas in nine provinces of China, covering seven ethnic groups, namely, the Bai, Han, Kazakh, Mongol, Tibetan, Uyghur, and Zhuang, aged between 18 and 35 years. Pyrosequencing was performed on the V5&#x2013;V6 region of the 16S ribosomal RNA (rRNA) gene of bacteria and archaea from 314 fecal samples, and a total of 5,102,015 high-quality sequences were generated. After operational taxonomic unit (OTU) classification by QIIME v-1.2.1 (Quantitative Insights Into Microbial Ecology, <xref ref-type="bibr" rid="B5">Caporaso et al., 2010</xref>), the microbial abundance information at four levels of phylum, family, genus, and species was finally obtained.</p>
</sec>
<sec id="S2.SS2">
<title>Analysis Design Schemes</title>
<p>In order to better compare the influence of ethnicities and lifestyles on individual gut microbiome, before the DAR analysis, we developed four schemes: (1A) the 314 individuals were divided into two cohorts according to their lifestyles (rural or urban) and compared; (1B) the 314 individuals were divided into 14 cohorts according to their ethnicities and lifestyles, and the urban and rural cohorts with the same ethnicity were compared; (2A) the 314 individuals were divided into seven cohorts according to their ethnicities with rural and urban combined and compared in pairs; and (2B) the 314 individuals were divided into 14 cohorts according to their ethnicities and lifestyles, and the different ethnic cohorts with the same lifestyle were compared (see <xref ref-type="fig" rid="F1">Figure 1</xref> for more details). In addition, we also integrated all the samples into one cohort (the total cohort) for model fitting.</p>
<fig id="F1" position="float">
<label>FIGURE 1</label>
<caption><p>Four schemes for comparing the Chinese gut microbiome from seven major Chinese ethnic cohorts with different lifestyles, which followed <xref ref-type="bibr" rid="B34">Ma (2021)</xref>.</p></caption>
<graphic mimetype="image" mime-subtype="tiff" xlink:href="fmicb-12-736393-g001.tif"/>
</fig>
</sec>
<sec id="S2.SS3">
<title>Diversity&#x2013;Area Relationship Analysis</title>
<p>DAR analysis relies primarily on the DAR-PL (power law) and DAR-PLEC (power law with exponential cutoff) models (<xref ref-type="bibr" rid="B31">Ma, 2018</xref>, <xref ref-type="bibr" rid="B33">2019b</xref>). Since there is no natural ordering among samples, in order to avoid the possible deviation caused by any sorting, we sorted all samples of each cohort, randomly selected 100 results for DAR model fitting, and finally calculated the mean value as the parameter of the DAR model. The DAR model used here is an extension of the classic SAR model (<xref ref-type="bibr" rid="B39">Plotkin et al., 2000</xref>; <xref ref-type="bibr" rid="B48">Ulrich and Buszko, 2003</xref>; <xref ref-type="bibr" rid="B46">Tj&#x00F8;rve, 2009</xref>). Hill number diversity was introduced into the DAR model, which extended the traditional SAR model of species abundance to a more comprehensive level of diversity and quantified the variation of community diversity on the spatial scale (<xref ref-type="bibr" rid="B6">Chao et al., 2012</xref>, <xref ref-type="bibr" rid="B7">2014a</xref>,<xref ref-type="bibr" rid="B8">b</xref>; <xref ref-type="bibr" rid="B31">Ma, 2018</xref>, <xref ref-type="bibr" rid="B33">2019b</xref>). Diversity and area conform to the power law model:</p>
<disp-formula id="S2.Ex1"><label>(1)</label><mml:math id="M1" display="block">
<mml:mrow>
<mml:mmultiscripts>
<mml:mi>D</mml:mi>
<mml:mprescripts/>
<mml:none/>
<mml:mi>q</mml:mi>
</mml:mmultiscripts>
<mml:mo>=</mml:mo>
<mml:mrow>
<mml:mi>c</mml:mi>
<mml:mo>&#x2062;</mml:mo>
<mml:msup>
<mml:mi>A</mml:mi>
<mml:mi>z</mml:mi>
</mml:msup>
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<p>where <italic><sup>q</sup>D</italic> means the diversity of order <italic>q</italic>, <italic>A</italic> is the area, and <italic>c</italic> and <italic>z</italic> are heterogeneity parameters. And on that basis, Ma further extended the general power law to the PLEC model (<xref ref-type="bibr" rid="B31">Ma, 2018</xref>, <xref ref-type="bibr" rid="B33">2019b</xref>):</p>
<disp-formula id="S2.Ex2"><label>(2)</label><mml:math id="M2" display="block">
<mml:mrow>
<mml:mmultiscripts>
<mml:mi>D</mml:mi>
<mml:mprescripts/>
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<mml:mi>q</mml:mi>
</mml:mmultiscripts>
<mml:mo>=</mml:mo>
<mml:mrow>
<mml:mi>c</mml:mi>
<mml:mo>&#x2062;</mml:mo>
<mml:msup>
<mml:mi>A</mml:mi>
<mml:mi>z</mml:mi>
</mml:msup>
<mml:mo>&#x2062;</mml:mo>
<mml:mi>exp</mml:mi>
<mml:mo>&#x2062;</mml:mo>
<mml:mrow>
<mml:mo stretchy="false">(</mml:mo>
<mml:mrow>
<mml:mi>d</mml:mi>
<mml:mo>&#x2062;</mml:mo>
<mml:mi>A</mml:mi>
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<mml:mo stretchy="false">)</mml:mo>
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<p>where <italic>d</italic> is a parameter that is usually negative in the DAR models and exp(<italic>dA</italic>) is responsible for the exponential decay of the PLEC model.</p>
<p>In order to estimate the parameters of the DAR model, linear transformation was made above the power law equation:</p>
<disp-formula id="S2.Ex3"><label>(3)</label><mml:math id="M3" display="block">
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</disp-formula>
<disp-formula id="S2.Ex4"><label>(4)</label><mml:math id="M4" display="block">
<mml:mrow>
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<mml:mrow>
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<mml:mo>&#x2062;</mml:mo>
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<p>The linear correlation coefficient <italic>R</italic> and <italic>p</italic>-value can be used to evaluate the efficacy of the fitting of the model. Based on above models, four diversity scaling profiles were defined for characterizing the biogeography maps of the microbial community:</p>
<p>(<italic>i</italic>) The <italic>DAR</italic> profile describes the relationship between diversity scaling parameter (<italic>z</italic>) and diversity order (<italic>q</italic>) of the DAR model. The <italic>DAR</italic> profile can be used to quantify the changes of diversity scaling under different diversity order (<italic>q</italic>).</p>
<p>(<italic>ii</italic>) The <italic>PDO</italic> (pairwise diversity overlap) profile represents the relationship between the diversity overlap parameter <italic>g</italic> and diversity order (<italic>q</italic>) of the DAR-PL model.</p>
<disp-formula id="S2.Ex5"><label>(5)</label><mml:math id="M5" display="block">
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<mml:mi>g</mml:mi>
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<mml:mo>&#x2062;</mml:mo>
<mml:mrow>
<mml:mo stretchy="false">(</mml:mo>
<mml:mrow>
<mml:msub>
<mml:mi>D</mml:mi>
<mml:mi>A</mml:mi>
</mml:msub>
<mml:mo>-</mml:mo>
<mml:msub>
<mml:mi>D</mml:mi>
<mml:mrow>
<mml:mn>2</mml:mn>
<mml:mo>&#x2062;</mml:mo>
<mml:mi>A</mml:mi>
</mml:mrow>
</mml:msub>
</mml:mrow>
<mml:mo stretchy="false">)</mml:mo>
</mml:mrow>
</mml:mrow>
<mml:mo>/</mml:mo>
<mml:msub>
<mml:mi>D</mml:mi>
<mml:mi>A</mml:mi>
</mml:msub>
</mml:mrow>
<mml:mo>=</mml:mo>
<mml:mrow>
<mml:mn>2</mml:mn>
<mml:mo>-</mml:mo>
<mml:msup>
<mml:mn>2</mml:mn>
<mml:mi>z</mml:mi>
</mml:msup>
</mml:mrow>
</mml:mrow>
</mml:math>
</disp-formula>
<p>where <italic>D</italic><sub><italic>A</italic></sub> is the diversity of area A, <italic>D</italic><sub>2A</sub> is the diversity of area 2<italic>A</italic>, and <italic>z</italic> is the heterogeneity parameter of the DAR model.</p>
<p>(<italic>iii</italic>) The <italic>MAD</italic> (maximum accrual diversity) profile describes the relationship between maximum accrual diversity and the diversity order (<italic>q</italic>) and can be used to estimate the regional or global maximum theoretical value of microbial community diversity:</p>
<disp-formula id="S2.Ex6"><label>(6)</label><mml:math id="M6" display="block">
<mml:mrow>
<mml:mrow>
<mml:mi>M</mml:mi>
<mml:mo>&#x2062;</mml:mo>
<mml:mi>a</mml:mi>
<mml:mo>&#x2062;</mml:mo>
<mml:mi>x</mml:mi>
<mml:mo>&#x2062;</mml:mo>
<mml:mrow>
<mml:mo stretchy="false">(</mml:mo>
<mml:mmultiscripts>
<mml:mi>D</mml:mi>
<mml:mprescripts/>
<mml:none/>
<mml:mi>q</mml:mi>
</mml:mmultiscripts>
<mml:mo stretchy="false">)</mml:mo>
</mml:mrow>
</mml:mrow>
<mml:mo>=</mml:mo>
<mml:mmultiscripts>
<mml:mi>D</mml:mi>
<mml:mrow>
<mml:mtext>max</mml:mtext>
</mml:mrow>
<mml:none/>
<mml:mprescripts/>
<mml:none/>
<mml:mi>q</mml:mi>
</mml:mmultiscripts>
<mml:mo>=</mml:mo>
<mml:mrow>
<mml:mi>c</mml:mi>
<mml:mo>&#x2062;</mml:mo>
<mml:msup>
<mml:mrow>
<mml:mo>(</mml:mo>
<mml:mrow>
<mml:mo>-</mml:mo>
<mml:mfrac>
<mml:mi>z</mml:mi>
<mml:mi>d</mml:mi>
</mml:mfrac>
</mml:mrow>
<mml:mo>)</mml:mo>
</mml:mrow>
<mml:mi>z</mml:mi>
</mml:msup>
<mml:mo>&#x2062;</mml:mo>
<mml:mtext>exp</mml:mtext>
<mml:mo>&#x2062;</mml:mo>
<mml:mrow>
<mml:mo>(</mml:mo>
<mml:mrow>
<mml:mo>-</mml:mo>
<mml:mi>z</mml:mi>
</mml:mrow>
<mml:mo>)</mml:mo>
</mml:mrow>
</mml:mrow>
<mml:mo>=</mml:mo>
<mml:mrow>
<mml:mi>c</mml:mi>
<mml:mo>&#x2062;</mml:mo>
<mml:msubsup>
<mml:mi>A</mml:mi>
<mml:mrow>
<mml:mtext>max</mml:mtext>
</mml:mrow>
<mml:mi>z</mml:mi>
</mml:msubsup>
<mml:mo>&#x2062;</mml:mo>
<mml:mtext>exp</mml:mtext>
<mml:mo>&#x2062;</mml:mo>
<mml:mrow>
<mml:mo>(</mml:mo>
<mml:mrow>
<mml:mo>-</mml:mo>
<mml:mi>z</mml:mi>
</mml:mrow>
<mml:mo>)</mml:mo>
</mml:mrow>
</mml:mrow>
</mml:mrow>
</mml:math>
</disp-formula>
<p>where <italic>A</italic><italic><sub>max =&#x2013;z/d</sub></italic>, which represents the area when the diversity is maximized.</p>
<p>(<italic>iv</italic>) The <italic>LGD</italic> (the ratio of local diversity to global accrual diversity) profile represents the ratio of sample diversity to global diversity and it can be used to estimate the proportion of the microbial community within a region on a global scale (<xref ref-type="bibr" rid="B29">Li and Ma, 2019</xref>):</p>
<disp-formula id="S2.Ex7"><label>(7)</label><mml:math id="M7" display="block">
<mml:mrow>
<mml:mrow>
<mml:mi>L</mml:mi>
<mml:mo>&#x2062;</mml:mo>
<mml:mi>G</mml:mi>
<mml:mo>&#x2062;</mml:mo>
<mml:mpadded width="+3.3pt">
<mml:mi>D</mml:mi>
</mml:mpadded>
</mml:mrow>
<mml:mo rspace="5.8pt">=</mml:mo>
<mml:mrow>
<mml:mi>c</mml:mi>
<mml:mo>/</mml:mo>
<mml:msub>
<mml:mi>D</mml:mi>
<mml:mrow>
<mml:mi>m</mml:mi>
<mml:mo>&#x2062;</mml:mo>
<mml:mi>a</mml:mi>
<mml:mo>&#x2062;</mml:mo>
<mml:mi>x</mml:mi>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:mrow>
</mml:math>
</disp-formula>
<p>where <italic>c</italic> is the parameter of the DAR-PL model at the diversity order of <italic>q</italic> and <italic>D</italic><sub><italic>max</italic></sub> corresponding to the diversity order can be generated according to Equation (6). After the relevant parameters of all profiles were obtained, we used a permutation (randomization) test to verify the difference of these parameters among all cohorts (<xref ref-type="bibr" rid="B33">Ma, 2019b</xref>; <xref ref-type="bibr" rid="B29">Li and Ma, 2019</xref>; <xref ref-type="bibr" rid="B35">Ma and Li, 2019</xref>).</p>
</sec>
</sec>
<sec id="S3" sec-type="results">
<title>Results</title>
<sec id="S3.SS1">
<title>Diversity&#x2013;Area Relationship Model Fitting</title>
<p>After fitting the DAR-PL and DAR-PLEC models for each cohort of the Chinese gut microbiome dataset, we got all parameters of the DAR analysis, including the <italic>DAR</italic> (<italic>z</italic>), <italic>PDO</italic> (<italic>g</italic>), <italic>MAD</italic> (<italic>D</italic><sub><italic>max</italic></sub>), and <italic>LGD</italic> profiles. <xref ref-type="table" rid="T1">Table 1</xref> shows the DAR parameters of all cohorts at the species level (for the parameters of other levels, see <xref ref-type="supplementary-material" rid="DS1">Supplementary Table 1</xref>). We observed that all cohorts fitted the DAR-PL and DAR-PLEC models well, with a <italic>p</italic>-value &#x003C; 0.05. In the 100 times of reordering model fitting, especially when the diversity order <italic>q</italic> is 0, the 100 times of DAR-PL model fitting were all successful, with a <italic>p</italic>-value of 0.000. However, with the increase of the order of diversity, some model fittings failed. Similar situations also appeared in DAR-PLEC model fitting. <xref ref-type="table" rid="T2">Table 2</xref> lists the results (percentages with significant differences) of the permutation tests for the differences in the parameters of the DAR models for the pairwise comparisons of the Chinese gut microbiome dataset (see <xref ref-type="supplementary-material" rid="DS1">Supplementary Table 2</xref> for specific results).</p>
<table-wrap position="float" id="T1">
<label>TABLE 1</label>
<caption><p>Fitting the DAR models for all cohorts of the Chinese gut microbiome datasets (with 100 times of random permutations of microbiome samples) (see <xref ref-type="supplementary-material" rid="DS1">Supplementary Table 1</xref> for the phylum-, family-, and genus-level counterpart results; only species-level results are shown here).</p></caption>
<table cellspacing="5" cellpadding="5" frame="hsides" rules="groups">
<thead>
<tr>
<td valign="top" align="left">Cohort</td>
<td valign="top" align="center">Diversity order</td>
<td valign="top" align="center" colspan="6">Power law (PL)<hr/></td>
<td valign="top" align="center" colspan="9">PL with exponential cutoff (PLEC)<hr/></td>
</tr>
<tr>
<td/>
<td/>
<td valign="top" align="center"><italic>z</italic></td>
<td valign="top" align="center">ln(<italic>c</italic>)</td>
<td valign="top" align="center"><italic>R</italic></td>
<td valign="top" align="center"><italic>p</italic>-value</td>
<td valign="top" align="center"><italic>g</italic></td>
<td valign="top" align="center"><italic>N</italic></td>
<td valign="top" align="center"><italic>z</italic></td>
<td valign="top" align="center"><italic>d</italic></td>
<td valign="top" align="center">ln(<italic>c</italic>)</td>
<td valign="top" align="center"><italic>R</italic></td>
<td valign="top" align="center"><italic>p</italic>-value</td>
<td valign="top" align="center"><italic>N</italic></td>
<td valign="top" align="center"><italic>A</italic><sub><italic>max</italic></sub></td>
<td valign="top" align="center"><italic>D</italic><sub><italic>max</italic></sub></td>
<td valign="top" align="center"><italic>LGD</italic></td>
</tr>
</thead>
<tbody>
<tr>
<td valign="top" align="left">Total</td>
<td valign="top" align="center"><italic>q</italic> = 0</td>
<td valign="top" align="center">0.309</td>
<td valign="top" align="center">6.019</td>
<td valign="top" align="center">0.994</td>
<td valign="top" align="center">0.000</td>
<td valign="top" align="center">0.761</td>
<td valign="top" align="center">100</td>
<td valign="top" align="center">0.351</td>
<td valign="top" align="center">0.000</td>
<td valign="top" align="center">5.896</td>
<td valign="top" align="center">0.997</td>
<td valign="top" align="center">0.000</td>
<td valign="top" align="center">93</td>
<td valign="top" align="center">1,373</td>
<td valign="top" align="center">2,781.4</td>
<td valign="top" align="center">15.2</td>
</tr>
<tr>
<td/>
<td valign="top" align="center"><italic>q</italic> = 1</td>
<td valign="top" align="center">0.065</td>
<td valign="top" align="center">4.423</td>
<td valign="top" align="center">0.745</td>
<td valign="top" align="center">0.000</td>
<td valign="top" align="center">0.954</td>
<td valign="top" align="center">100</td>
<td valign="top" align="center">0.134</td>
<td valign="top" align="center">-0.001</td>
<td valign="top" align="center">4.222</td>
<td valign="top" align="center">0.854</td>
<td valign="top" align="center">0.000</td>
<td valign="top" align="center">95</td>
<td valign="top" align="center">230</td>
<td valign="top" align="center">118.5</td>
<td valign="top" align="center">70.6</td>
</tr>
<tr>
<td/>
<td valign="top" align="center"><italic>q</italic> = 2</td>
<td valign="top" align="center">0.069</td>
<td valign="top" align="center">3.613</td>
<td valign="top" align="center">0.674</td>
<td valign="top" align="center">0.000</td>
<td valign="top" align="center">0.950</td>
<td valign="top" align="center">99</td>
<td valign="top" align="center">0.153</td>
<td valign="top" align="center">-0.001</td>
<td valign="top" align="center">3.368</td>
<td valign="top" align="center">0.802</td>
<td valign="top" align="center">0.000</td>
<td valign="top" align="center">94</td>
<td valign="top" align="center">4,503</td>
<td valign="top" align="center">54.5</td>
<td valign="top" align="center">68.6</td>
</tr>
<tr>
<td/>
<td valign="top" align="center"><italic>q</italic> = 3</td>
<td valign="top" align="center">0.076</td>
<td valign="top" align="center">3.231</td>
<td valign="top" align="center">0.683</td>
<td valign="top" align="center">0.000</td>
<td valign="top" align="center">0.946</td>
<td valign="top" align="center">99</td>
<td valign="top" align="center">0.166</td>
<td valign="top" align="center">-0.001</td>
<td valign="top" align="center">2.965</td>
<td valign="top" align="center">0.808</td>
<td valign="top" align="center">0.000</td>
<td valign="top" align="center">92</td>
<td valign="top" align="center">196</td>
<td valign="top" align="center">38.4</td>
<td valign="top" align="center">66.3</td>
</tr>
<tr>
<td valign="top" align="left">Rural</td>
<td valign="top" align="center"><italic>q</italic> = 0</td>
<td valign="top" align="center">0.322</td>
<td valign="top" align="center">6.010</td>
<td valign="top" align="center">0.993</td>
<td valign="top" align="center">0.000</td>
<td valign="top" align="center">0.750</td>
<td valign="top" align="center">100</td>
<td valign="top" align="center">0.370</td>
<td valign="top" align="center">-0.001</td>
<td valign="top" align="center">5.891</td>
<td valign="top" align="center">0.995</td>
<td valign="top" align="center">0.000</td>
<td valign="top" align="center">91</td>
<td valign="top" align="center">1,850</td>
<td valign="top" align="center">2,654.7</td>
<td valign="top" align="center">16.5</td>
</tr>
<tr>
<td/>
<td valign="top" align="center"><italic>q</italic> = 1</td>
<td valign="top" align="center">0.085</td>
<td valign="top" align="center">4.358</td>
<td valign="top" align="center">0.741</td>
<td valign="top" align="center">0.000</td>
<td valign="top" align="center">0.938</td>
<td valign="top" align="center">100</td>
<td valign="top" align="center">0.179</td>
<td valign="top" align="center">-0.002</td>
<td valign="top" align="center">4.136</td>
<td valign="top" align="center">0.852</td>
<td valign="top" align="center">0.000</td>
<td valign="top" align="center">90</td>
<td valign="top" align="center">107</td>
<td valign="top" align="center">118.1</td>
<td valign="top" align="center">66.8</td>
</tr>
<tr>
<td/>
<td valign="top" align="center"><italic>q</italic> = 2</td>
<td valign="top" align="center">0.095</td>
<td valign="top" align="center">3.501</td>
<td valign="top" align="center">0.681</td>
<td valign="top" align="center">0.000</td>
<td valign="top" align="center">0.931</td>
<td valign="top" align="center">95</td>
<td valign="top" align="center">0.190</td>
<td valign="top" align="center">-0.002</td>
<td valign="top" align="center">3.290</td>
<td valign="top" align="center">0.789</td>
<td valign="top" align="center">0.000</td>
<td valign="top" align="center">94</td>
<td valign="top" align="center">199</td>
<td valign="top" align="center">52.7</td>
<td valign="top" align="center">66.9</td>
</tr>
<tr>
<td/>
<td valign="top" align="center"><italic>q</italic> = 3</td>
<td valign="top" align="center">0.104</td>
<td valign="top" align="center">3.107</td>
<td valign="top" align="center">0.688</td>
<td valign="top" align="center">0.001</td>
<td valign="top" align="center">0.924</td>
<td valign="top" align="center">96</td>
<td valign="top" align="center">0.204</td>
<td valign="top" align="center">-0.002</td>
<td valign="top" align="center">2.878</td>
<td valign="top" align="center">0.796</td>
<td valign="top" align="center">0.000</td>
<td valign="top" align="center">90</td>
<td valign="top" align="center">145</td>
<td valign="top" align="center">37.0</td>
<td valign="top" align="center">63.7</td>
</tr>
<tr>
<td valign="top" align="left">Urban</td>
<td valign="top" align="center"><italic>q</italic> = 0</td>
<td valign="top" align="center">0.324</td>
<td valign="top" align="center">5.908</td>
<td valign="top" align="center">0.993</td>
<td valign="top" align="center">0.000</td>
<td valign="top" align="center">0.748</td>
<td valign="top" align="center">100</td>
<td valign="top" align="center">0.374</td>
<td valign="top" align="center">-0.001</td>
<td valign="top" align="center">5.794</td>
<td valign="top" align="center">0.995</td>
<td valign="top" align="center">0.000</td>
<td valign="top" align="center">84</td>
<td valign="top" align="center">1,065</td>
<td valign="top" align="center">2,215.8</td>
<td valign="top" align="center">17.3</td>
</tr>
<tr>
<td/>
<td valign="top" align="center"><italic>q</italic> = 1</td>
<td valign="top" align="center">0.089</td>
<td valign="top" align="center">4.328</td>
<td valign="top" align="center">0.813</td>
<td valign="top" align="center">0.000</td>
<td valign="top" align="center">0.936</td>
<td valign="top" align="center">99</td>
<td valign="top" align="center">0.172</td>
<td valign="top" align="center">-0.002</td>
<td valign="top" align="center">4.148</td>
<td valign="top" align="center">0.907</td>
<td valign="top" align="center">0.000</td>
<td valign="top" align="center">98</td>
<td valign="top" align="center">102</td>
<td valign="top" align="center">114.6</td>
<td valign="top" align="center">67.0</td>
</tr>
<tr>
<td/>
<td valign="top" align="center"><italic>q</italic> = 2</td>
<td valign="top" align="center">0.096</td>
<td valign="top" align="center">3.544</td>
<td valign="top" align="center">0.735</td>
<td valign="top" align="center">0.000</td>
<td valign="top" align="center">0.930</td>
<td valign="top" align="center">99</td>
<td valign="top" align="center">0.192</td>
<td valign="top" align="center">-0.002</td>
<td valign="top" align="center">3.335</td>
<td valign="top" align="center">0.845</td>
<td valign="top" align="center">0.000</td>
<td valign="top" align="center">97</td>
<td valign="top" align="center">154</td>
<td valign="top" align="center">54.5</td>
<td valign="top" align="center">65.7</td>
</tr>
<tr>
<td/>
<td valign="top" align="center"><italic>q</italic> = 3</td>
<td valign="top" align="center">0.103</td>
<td valign="top" align="center">3.162</td>
<td valign="top" align="center">0.729</td>
<td valign="top" align="center">0.000</td>
<td valign="top" align="center">0.925</td>
<td valign="top" align="center">98</td>
<td valign="top" align="center">0.199</td>
<td valign="top" align="center">-0.002</td>
<td valign="top" align="center">2.957</td>
<td valign="top" align="center">0.826</td>
<td valign="top" align="center">0.000</td>
<td valign="top" align="center">96</td>
<td valign="top" align="center">137</td>
<td valign="top" align="center">38.3</td>
<td valign="top" align="center">64.7</td>
</tr>
<tr>
<td valign="top" align="left">Bai</td>
<td valign="top" align="center"><italic>q</italic> = 0</td>
<td valign="top" align="center">0.226</td>
<td valign="top" align="center">5.869</td>
<td valign="top" align="center">0.952</td>
<td valign="top" align="center">0.000</td>
<td valign="top" align="center">0.830</td>
<td valign="top" align="center">100</td>
<td valign="top" align="center">0.323</td>
<td valign="top" align="center">-0.007</td>
<td valign="top" align="center">5.763</td>
<td valign="top" align="center">0.971</td>
<td valign="top" align="center">0.000</td>
<td valign="top" align="center">88</td>
<td valign="top" align="center">82</td>
<td valign="top" align="center">815.3</td>
<td valign="top" align="center">44.3</td>
</tr>
<tr>
<td/>
<td valign="top" align="center"><italic>q</italic> = 1</td>
<td valign="top" align="center">0.099</td>
<td valign="top" align="center">4.053</td>
<td valign="top" align="center">0.776</td>
<td valign="top" align="center">0.001</td>
<td valign="top" align="center">0.928</td>
<td valign="top" align="center">97</td>
<td valign="top" align="center">0.202</td>
<td valign="top" align="center">-0.008</td>
<td valign="top" align="center">3.939</td>
<td valign="top" align="center">0.853</td>
<td valign="top" align="center">0.000</td>
<td valign="top" align="center">81</td>
<td valign="top" align="center">50</td>
<td valign="top" align="center">82.3</td>
<td valign="top" align="center">71.6</td>
</tr>
<tr>
<td/>
<td valign="top" align="center"><italic>q</italic> = 2</td>
<td valign="top" align="center">0.101</td>
<td valign="top" align="center">3.225</td>
<td valign="top" align="center">0.741</td>
<td valign="top" align="center">0.001</td>
<td valign="top" align="center">0.927</td>
<td valign="top" align="center">87</td>
<td valign="top" align="center">0.212</td>
<td valign="top" align="center">-0.009</td>
<td valign="top" align="center">3.115</td>
<td valign="top" align="center">0.801</td>
<td valign="top" align="center">0.003</td>
<td valign="top" align="center">72</td>
<td valign="top" align="center">42</td>
<td valign="top" align="center">36.2</td>
<td valign="top" align="center">73.4</td>
</tr>
<tr>
<td/>
<td valign="top" align="center"><italic>q</italic> = 3</td>
<td valign="top" align="center">0.096</td>
<td valign="top" align="center">2.914</td>
<td valign="top" align="center">0.711</td>
<td valign="top" align="center">0.002</td>
<td valign="top" align="center">0.930</td>
<td valign="top" align="center">88</td>
<td valign="top" align="center">0.204</td>
<td valign="top" align="center">-0.008</td>
<td valign="top" align="center">2.797</td>
<td valign="top" align="center">0.807</td>
<td valign="top" align="center">0.001</td>
<td valign="top" align="center">70</td>
<td valign="top" align="center">64</td>
<td valign="top" align="center">26.2</td>
<td valign="top" align="center">73.1</td>
</tr>
<tr>
<td valign="top" align="left">Han</td>
<td valign="top" align="center"><italic>q</italic> = 0</td>
<td valign="top" align="center">0.349</td>
<td valign="top" align="center">5.904</td>
<td valign="top" align="center">0.992</td>
<td valign="top" align="center">0.000</td>
<td valign="top" align="center">0.726</td>
<td valign="top" align="center">100</td>
<td valign="top" align="center">0.413</td>
<td valign="top" align="center">-0.002</td>
<td valign="top" align="center">5.782</td>
<td valign="top" align="center">0.996</td>
<td valign="top" align="center">0.000</td>
<td valign="top" align="center">87</td>
<td valign="top" align="center">499</td>
<td valign="top" align="center">2,029.9</td>
<td valign="top" align="center">18.8</td>
</tr>
<tr>
<td/>
<td valign="top" align="center"><italic>q</italic> = 1</td>
<td valign="top" align="center">0.100</td>
<td valign="top" align="center">4.228</td>
<td valign="top" align="center">0.781</td>
<td valign="top" align="center">0.000</td>
<td valign="top" align="center">0.928</td>
<td valign="top" align="center">96</td>
<td valign="top" align="center">0.186</td>
<td valign="top" align="center">-0.003</td>
<td valign="top" align="center">4.084</td>
<td valign="top" align="center">0.861</td>
<td valign="top" align="center">0.000</td>
<td valign="top" align="center">94</td>
<td valign="top" align="center">75</td>
<td valign="top" align="center">105.0</td>
<td valign="top" align="center">67.6</td>
</tr>
<tr>
<td/>
<td valign="top" align="center"><italic>q</italic> = 2</td>
<td valign="top" align="center">0.112</td>
<td valign="top" align="center">3.330</td>
<td valign="top" align="center">0.689</td>
<td valign="top" align="center">0.000</td>
<td valign="top" align="center">0.918</td>
<td valign="top" align="center">87</td>
<td valign="top" align="center">0.201</td>
<td valign="top" align="center">-0.004</td>
<td valign="top" align="center">3.205</td>
<td valign="top" align="center">0.764</td>
<td valign="top" align="center">0.001</td>
<td valign="top" align="center">90</td>
<td valign="top" align="center">118</td>
<td valign="top" align="center">45.6</td>
<td valign="top" align="center">68.8</td>
</tr>
<tr>
<td/>
<td valign="top" align="center"><italic>q</italic> = 3</td>
<td valign="top" align="center">0.122</td>
<td valign="top" align="center">2.910</td>
<td valign="top" align="center">0.695</td>
<td valign="top" align="center">0.001</td>
<td valign="top" align="center">0.910</td>
<td valign="top" align="center">87</td>
<td valign="top" align="center">0.214</td>
<td valign="top" align="center">-0.004</td>
<td valign="top" align="center">2.787</td>
<td valign="top" align="center">0.762</td>
<td valign="top" align="center">0.001</td>
<td valign="top" align="center">84</td>
<td valign="top" align="center">67</td>
<td valign="top" align="center">31.1</td>
<td valign="top" align="center">66.9</td>
</tr>
<tr>
<td valign="top" align="left">Kazakh</td>
<td valign="top" align="center"><italic>q</italic> = 0</td>
<td valign="top" align="center">0.373</td>
<td valign="top" align="center">5.862</td>
<td valign="top" align="center">0.984</td>
<td valign="top" align="center">0.000</td>
<td valign="top" align="center">0.703</td>
<td valign="top" align="center">100</td>
<td valign="top" align="center">0.505</td>
<td valign="top" align="center">-0.015</td>
<td valign="top" align="center">5.738</td>
<td valign="top" align="center">0.989</td>
<td valign="top" align="center">0.000</td>
<td valign="top" align="center">65</td>
<td valign="top" align="center">174</td>
<td valign="top" align="center">1,377.2</td>
<td valign="top" align="center">28.1</td>
</tr>
<tr>
<td/>
<td valign="top" align="center"><italic>q</italic> = 1</td>
<td valign="top" align="center">0.245</td>
<td valign="top" align="center">3.987</td>
<td valign="top" align="center">0.824</td>
<td valign="top" align="center">0.001</td>
<td valign="top" align="center">0.809</td>
<td valign="top" align="center">96</td>
<td valign="top" align="center">0.472</td>
<td valign="top" align="center">-0.032</td>
<td valign="top" align="center">3.866</td>
<td valign="top" align="center">0.902</td>
<td valign="top" align="center">0.001</td>
<td valign="top" align="center">86</td>
<td valign="top" align="center">21</td>
<td valign="top" align="center">109.8</td>
<td valign="top" align="center">55.7</td>
</tr>
<tr>
<td/>
<td valign="top" align="center"><italic>q</italic> = 2</td>
<td valign="top" align="center">0.304</td>
<td valign="top" align="center">3.108</td>
<td valign="top" align="center">0.801</td>
<td valign="top" align="center">0.002</td>
<td valign="top" align="center">0.754</td>
<td valign="top" align="center">91</td>
<td valign="top" align="center">0.567</td>
<td valign="top" align="center">-0.038</td>
<td valign="top" align="center">2.988</td>
<td valign="top" align="center">0.882</td>
<td valign="top" align="center">0.001</td>
<td valign="top" align="center">82</td>
<td valign="top" align="center">17</td>
<td valign="top" align="center">53.5</td>
<td valign="top" align="center">51.6</td>
</tr>
<tr>
<td/>
<td valign="top" align="center"><italic>q</italic> = 3</td>
<td valign="top" align="center">0.313</td>
<td valign="top" align="center">2.765</td>
<td valign="top" align="center">0.804</td>
<td valign="top" align="center">0.001</td>
<td valign="top" align="center">0.746</td>
<td valign="top" align="center">92</td>
<td valign="top" align="center">0.558</td>
<td valign="top" align="center">-0.034</td>
<td valign="top" align="center">2.628</td>
<td valign="top" align="center">0.887</td>
<td valign="top" align="center">0.000</td>
<td valign="top" align="center">82</td>
<td valign="top" align="center">22</td>
<td valign="top" align="center">39.4</td>
<td valign="top" align="center">48.4</td>
</tr>
<tr>
<td valign="top" align="left">Mongol</td>
<td valign="top" align="center"><italic>q</italic> = 0</td>
<td valign="top" align="center">0.362</td>
<td valign="top" align="center">5.962</td>
<td valign="top" align="center">0.983</td>
<td valign="top" align="center">0.000</td>
<td valign="top" align="center">0.713</td>
<td valign="top" align="center">100</td>
<td valign="top" align="center">0.468</td>
<td valign="top" align="center">-0.006</td>
<td valign="top" align="center">5.800</td>
<td valign="top" align="center">0.987</td>
<td valign="top" align="center">0.000</td>
<td valign="top" align="center">69</td>
<td valign="top" align="center">179</td>
<td valign="top" align="center">1,724.9</td>
<td valign="top" align="center">22.5</td>
</tr>
<tr>
<td/>
<td valign="top" align="center"><italic>q</italic> = 1</td>
<td valign="top" align="center">0.129</td>
<td valign="top" align="center">4.299</td>
<td valign="top" align="center">0.774</td>
<td valign="top" align="center">0.001</td>
<td valign="top" align="center">0.905</td>
<td valign="top" align="center">95</td>
<td valign="top" align="center">0.226</td>
<td valign="top" align="center">-0.007</td>
<td valign="top" align="center">4.192</td>
<td valign="top" align="center">0.851</td>
<td valign="top" align="center">0.000</td>
<td valign="top" align="center">90</td>
<td valign="top" align="center">34</td>
<td valign="top" align="center">116.3</td>
<td valign="top" align="center">66.8</td>
</tr>
<tr>
<td/>
<td valign="top" align="center"><italic>q</italic> = 2</td>
<td valign="top" align="center">0.131</td>
<td valign="top" align="center">3.464</td>
<td valign="top" align="center">0.719</td>
<td valign="top" align="center">0.001</td>
<td valign="top" align="center">0.903</td>
<td valign="top" align="center">91</td>
<td valign="top" align="center">0.233</td>
<td valign="top" align="center">-0.007</td>
<td valign="top" align="center">3.358</td>
<td valign="top" align="center">0.810</td>
<td valign="top" align="center">0.001</td>
<td valign="top" align="center">87</td>
<td valign="top" align="center">37</td>
<td valign="top" align="center">51.5</td>
<td valign="top" align="center">67.1</td>
</tr>
<tr>
<td/>
<td valign="top" align="center"><italic>q</italic> = 3</td>
<td valign="top" align="center">0.128</td>
<td valign="top" align="center">3.056</td>
<td valign="top" align="center">0.693</td>
<td valign="top" align="center">0.002</td>
<td valign="top" align="center">0.905</td>
<td valign="top" align="center">86</td>
<td valign="top" align="center">0.230</td>
<td valign="top" align="center">-0.008</td>
<td valign="top" align="center">2.961</td>
<td valign="top" align="center">0.788</td>
<td valign="top" align="center">0.001</td>
<td valign="top" align="center">83</td>
<td valign="top" align="center">42</td>
<td valign="top" align="center">34.6</td>
<td valign="top" align="center">67.8</td>
</tr>
<tr>
<td valign="top" align="left">Tibetan</td>
<td valign="top" align="center"><italic>q</italic> = 0</td>
<td valign="top" align="center">0.325</td>
<td valign="top" align="center">5.838</td>
<td valign="top" align="center">0.982</td>
<td valign="top" align="center">0.000</td>
<td valign="top" align="center">0.747</td>
<td valign="top" align="center">100</td>
<td valign="top" align="center">0.413</td>
<td valign="top" align="center">-0.006</td>
<td valign="top" align="center">5.736</td>
<td valign="top" align="center">0.988</td>
<td valign="top" align="center">0.000</td>
<td valign="top" align="center">78</td>
<td valign="top" align="center">282</td>
<td valign="top" align="center">1,306.3</td>
<td valign="top" align="center">28.0</td>
</tr>
<tr>
<td/>
<td valign="top" align="center"><italic>q</italic> = 1</td>
<td valign="top" align="center">0.163</td>
<td valign="top" align="center">3.993</td>
<td valign="top" align="center">0.780</td>
<td valign="top" align="center">0.000</td>
<td valign="top" align="center">0.878</td>
<td valign="top" align="center">96</td>
<td valign="top" align="center">0.294</td>
<td valign="top" align="center">-0.010</td>
<td valign="top" align="center">3.856</td>
<td valign="top" align="center">0.858</td>
<td valign="top" align="center">0.000</td>
<td valign="top" align="center">90</td>
<td valign="top" align="center">42</td>
<td valign="top" align="center">96.5</td>
<td valign="top" align="center">60.4</td>
</tr>
<tr>
<td/>
<td valign="top" align="center"><italic>q</italic> = 2</td>
<td valign="top" align="center">0.163</td>
<td valign="top" align="center">3.033</td>
<td valign="top" align="center">0.659</td>
<td valign="top" align="center">0.003</td>
<td valign="top" align="center">0.875</td>
<td valign="top" align="center">77</td>
<td valign="top" align="center">0.264</td>
<td valign="top" align="center">-0.010</td>
<td valign="top" align="center">2.996</td>
<td valign="top" align="center">0.743</td>
<td valign="top" align="center">0.002</td>
<td valign="top" align="center">89</td>
<td valign="top" align="center">28</td>
<td valign="top" align="center">37.7</td>
<td valign="top" align="center">68.6</td>
</tr>
<tr>
<td/>
<td valign="top" align="center"><italic>q</italic> = 3</td>
<td valign="top" align="center">0.134</td>
<td valign="top" align="center">2.675</td>
<td valign="top" align="center">0.632</td>
<td valign="top" align="center">0.006</td>
<td valign="top" align="center">0.895</td>
<td valign="top" align="center">70</td>
<td valign="top" align="center">0.228</td>
<td valign="top" align="center">-0.010</td>
<td valign="top" align="center">2.659</td>
<td valign="top" align="center">0.727</td>
<td valign="top" align="center">0.003</td>
<td valign="top" align="center">81</td>
<td valign="top" align="center">26</td>
<td valign="top" align="center">24.7</td>
<td valign="top" align="center">77.0</td>
</tr>
<tr>
<td valign="top" align="left">Uyghur</td>
<td valign="top" align="center"><italic>q</italic> = 0</td>
<td valign="top" align="center">0.363</td>
<td valign="top" align="center">5.970</td>
<td valign="top" align="center">0.993</td>
<td valign="top" align="center">0.000</td>
<td valign="top" align="center">0.713</td>
<td valign="top" align="center">100</td>
<td valign="top" align="center">0.451</td>
<td valign="top" align="center">-0.010</td>
<td valign="top" align="center">5.886</td>
<td valign="top" align="center">0.996</td>
<td valign="top" align="center">0.000</td>
<td valign="top" align="center">67</td>
<td valign="top" align="center">113</td>
<td valign="top" align="center">1,465.8</td>
<td valign="top" align="center">27.5</td>
</tr>
<tr>
<td/>
<td valign="top" align="center"><italic>q</italic> = 1</td>
<td valign="top" align="center">0.175</td>
<td valign="top" align="center">4.276</td>
<td valign="top" align="center">0.890</td>
<td valign="top" align="center">0.000</td>
<td valign="top" align="center">0.869</td>
<td valign="top" align="center">99</td>
<td valign="top" align="center">0.344</td>
<td valign="top" align="center">-0.022</td>
<td valign="top" align="center">4.146</td>
<td valign="top" align="center">0.954</td>
<td valign="top" align="center">0.000</td>
<td valign="top" align="center">85</td>
<td valign="top" align="center">27</td>
<td valign="top" align="center">118.7</td>
<td valign="top" align="center">60.5</td>
</tr>
<tr>
<td/>
<td valign="top" align="center"><italic>q</italic> = 2</td>
<td valign="top" align="center">0.223</td>
<td valign="top" align="center">3.387</td>
<td valign="top" align="center">0.841</td>
<td valign="top" align="center">0.001</td>
<td valign="top" align="center">0.829</td>
<td valign="top" align="center">93</td>
<td valign="top" align="center">0.431</td>
<td valign="top" align="center">-0.029</td>
<td valign="top" align="center">3.250</td>
<td valign="top" align="center">0.910</td>
<td valign="top" align="center">0.001</td>
<td valign="top" align="center">85</td>
<td valign="top" align="center">23</td>
<td valign="top" align="center">55.2</td>
<td valign="top" align="center">56.5</td>
</tr>
<tr>
<td/>
<td valign="top" align="center"><italic>q</italic> = 3</td>
<td valign="top" align="center">0.234</td>
<td valign="top" align="center">2.984</td>
<td valign="top" align="center">0.814</td>
<td valign="top" align="center">0.001</td>
<td valign="top" align="center">0.820</td>
<td valign="top" align="center">90</td>
<td valign="top" align="center">0.462</td>
<td valign="top" align="center">-0.031</td>
<td valign="top" align="center">2.833</td>
<td valign="top" align="center">0.898</td>
<td valign="top" align="center">0.001</td>
<td valign="top" align="center">81</td>
<td valign="top" align="center">16</td>
<td valign="top" align="center">37.6</td>
<td valign="top" align="center">55.3</td>
</tr>
<tr>
<td valign="top" align="left">Zhuang</td>
<td valign="top" align="center"><italic>q</italic> = 0</td>
<td valign="top" align="center">0.354</td>
<td valign="top" align="center">5.803</td>
<td valign="top" align="center">0.991</td>
<td valign="top" align="center">0.000</td>
<td valign="top" align="center">0.722</td>
<td valign="top" align="center">100</td>
<td valign="top" align="center">0.428</td>
<td valign="top" align="center">-0.005</td>
<td valign="top" align="center">5.703</td>
<td valign="top" align="center">0.994</td>
<td valign="top" align="center">0.000</td>
<td valign="top" align="center">74</td>
<td valign="top" align="center">186</td>
<td valign="top" align="center">1,480.7</td>
<td valign="top" align="center">23.3</td>
</tr>
<tr>
<td/>
<td valign="top" align="center"><italic>q</italic> = 1</td>
<td valign="top" align="center">0.150</td>
<td valign="top" align="center">4.122</td>
<td valign="top" align="center">0.888</td>
<td valign="top" align="center">0.000</td>
<td valign="top" align="center">0.889</td>
<td valign="top" align="center">100</td>
<td valign="top" align="center">0.272</td>
<td valign="top" align="center">-0.009</td>
<td valign="top" align="center">3.978</td>
<td valign="top" align="center">0.953</td>
<td valign="top" align="center">0.000</td>
<td valign="top" align="center">97</td>
<td valign="top" align="center">47</td>
<td valign="top" align="center">105.3</td>
<td valign="top" align="center">59.6</td>
</tr>
<tr>
<td/>
<td valign="top" align="center"><italic>q</italic> = 2</td>
<td valign="top" align="center">0.156</td>
<td valign="top" align="center">3.293</td>
<td valign="top" align="center">0.798</td>
<td valign="top" align="center">0.000</td>
<td valign="top" align="center">0.884</td>
<td valign="top" align="center">100</td>
<td valign="top" align="center">0.327</td>
<td valign="top" align="center">-0.012</td>
<td valign="top" align="center">3.084</td>
<td valign="top" align="center">0.895</td>
<td valign="top" align="center">0.000</td>
<td valign="top" align="center">86</td>
<td valign="top" align="center">43</td>
<td valign="top" align="center">47.6</td>
<td valign="top" align="center">57.8</td>
</tr>
<tr>
<td/>
<td valign="top" align="center"><italic>q</italic> = 3</td>
<td valign="top" align="center">0.155</td>
<td valign="top" align="center">2.908</td>
<td valign="top" align="center">0.752</td>
<td valign="top" align="center">0.001</td>
<td valign="top" align="center">0.885</td>
<td valign="top" align="center">98</td>
<td valign="top" align="center">0.318</td>
<td valign="top" align="center">-0.012</td>
<td valign="top" align="center">2.721</td>
<td valign="top" align="center">0.849</td>
<td valign="top" align="center">0.001</td>
<td valign="top" align="center">87</td>
<td valign="top" align="center">52</td>
<td valign="top" align="center">32.8</td>
<td valign="top" align="center">59.1</td>
</tr>
<tr>
<td valign="top" align="left">Bai-Rural</td>
<td valign="top" align="center"><italic>q</italic> = 0</td>
<td valign="top" align="center">0.217</td>
<td valign="top" align="center">5.857</td>
<td valign="top" align="center">0.940</td>
<td valign="top" align="center">0.000</td>
<td valign="top" align="center">0.837</td>
<td valign="top" align="center">100</td>
<td valign="top" align="center">0.349</td>
<td valign="top" align="center">-0.014</td>
<td valign="top" align="center">5.748</td>
<td valign="top" align="center">0.974</td>
<td valign="top" align="center">0.000</td>
<td valign="top" align="center">92</td>
<td valign="top" align="center">45</td>
<td valign="top" align="center">707.7</td>
<td valign="top" align="center">50.5</td>
</tr>
<tr>
<td/>
<td valign="top" align="center"><italic>q</italic> = 1</td>
<td valign="top" align="center">0.122</td>
<td valign="top" align="center">3.985</td>
<td valign="top" align="center">0.768</td>
<td valign="top" align="center">0.001</td>
<td valign="top" align="center">0.910</td>
<td valign="top" align="center">89</td>
<td valign="top" align="center">0.236</td>
<td valign="top" align="center">-0.013</td>
<td valign="top" align="center">3.914</td>
<td valign="top" align="center">0.842</td>
<td valign="top" align="center">0.001</td>
<td valign="top" align="center">83</td>
<td valign="top" align="center">26</td>
<td valign="top" align="center">79.4</td>
<td valign="top" align="center">72.3</td>
</tr>
<tr>
<td/>
<td valign="top" align="center"><italic>q</italic> = 2</td>
<td valign="top" align="center">0.129</td>
<td valign="top" align="center">3.156</td>
<td valign="top" align="center">0.766</td>
<td valign="top" align="center">0.001</td>
<td valign="top" align="center">0.904</td>
<td valign="top" align="center">80</td>
<td valign="top" align="center">0.238</td>
<td valign="top" align="center">-0.013</td>
<td valign="top" align="center">3.100</td>
<td valign="top" align="center">0.827</td>
<td valign="top" align="center">0.001</td>
<td valign="top" align="center">80</td>
<td valign="top" align="center">34</td>
<td valign="top" align="center">35.3</td>
<td valign="top" align="center">72.7</td>
</tr>
<tr>
<td/>
<td valign="top" align="center"><italic>q</italic> = 3</td>
<td valign="top" align="center">0.123</td>
<td valign="top" align="center">2.860</td>
<td valign="top" align="center">0.766</td>
<td valign="top" align="center">0.001</td>
<td valign="top" align="center">0.910</td>
<td valign="top" align="center">80</td>
<td valign="top" align="center">0.237</td>
<td valign="top" align="center">-0.013</td>
<td valign="top" align="center">2.783</td>
<td valign="top" align="center">0.819</td>
<td valign="top" align="center">0.002</td>
<td valign="top" align="center">75</td>
<td valign="top" align="center">23</td>
<td valign="top" align="center">25.6</td>
<td valign="top" align="center">72.7</td>
</tr>
<tr>
<td valign="top" align="left">Bai-Urban</td>
<td valign="top" align="center"><italic>q</italic> = 0</td>
<td valign="top" align="center">0.317</td>
<td valign="top" align="center">5.720</td>
<td valign="top" align="center">0.938</td>
<td valign="top" align="center">0.000</td>
<td valign="top" align="center">0.751</td>
<td valign="top" align="center">100</td>
<td valign="top" align="center">0.512</td>
<td valign="top" align="center">-0.037</td>
<td valign="top" align="center">5.668</td>
<td valign="top" align="center">0.967</td>
<td valign="top" align="center">0.000</td>
<td valign="top" align="center">76</td>
<td valign="top" align="center">84</td>
<td valign="top" align="center">799.9</td>
<td valign="top" align="center">46.2</td>
</tr>
<tr>
<td/>
<td valign="top" align="center"><italic>q</italic> = 1</td>
<td valign="top" align="center">0.213</td>
<td valign="top" align="center">3.856</td>
<td valign="top" align="center">0.841</td>
<td valign="top" align="center">0.002</td>
<td valign="top" align="center">0.836</td>
<td valign="top" align="center">88</td>
<td valign="top" align="center">0.385</td>
<td valign="top" align="center">-0.034</td>
<td valign="top" align="center">3.807</td>
<td valign="top" align="center">0.914</td>
<td valign="top" align="center">0.001</td>
<td valign="top" align="center">87</td>
<td valign="top" align="center">20</td>
<td valign="top" align="center">81.4</td>
<td valign="top" align="center">63.9</td>
</tr>
<tr>
<td/>
<td valign="top" align="center"><italic>q</italic> = 2</td>
<td valign="top" align="center">0.294</td>
<td valign="top" align="center">2.814</td>
<td valign="top" align="center">0.852</td>
<td valign="top" align="center">0.003</td>
<td valign="top" align="center">0.771</td>
<td valign="top" align="center">60</td>
<td valign="top" align="center">0.462</td>
<td valign="top" align="center">-0.041</td>
<td valign="top" align="center">2.834</td>
<td valign="top" align="center">0.912</td>
<td valign="top" align="center">0.003</td>
<td valign="top" align="center">65</td>
<td valign="top" align="center">13</td>
<td valign="top" align="center">33.8</td>
<td valign="top" align="center">58.8</td>
</tr>
<tr>
<td/>
<td valign="top" align="center"><italic>q</italic> = 3</td>
<td valign="top" align="center">0.282</td>
<td valign="top" align="center">2.472</td>
<td valign="top" align="center">0.834</td>
<td valign="top" align="center">0.003</td>
<td valign="top" align="center">0.781</td>
<td valign="top" align="center">58</td>
<td valign="top" align="center">0.432</td>
<td valign="top" align="center">-0.041</td>
<td valign="top" align="center">2.543</td>
<td valign="top" align="center">0.893</td>
<td valign="top" align="center">0.004</td>
<td valign="top" align="center">61</td>
<td valign="top" align="center">13</td>
<td valign="top" align="center">23.9</td>
<td valign="top" align="center">62.6</td>
</tr>
<tr>
<td valign="top" align="left">Han-Rural</td>
<td valign="top" align="center"><italic>q</italic> = 0</td>
<td valign="top" align="center">0.375</td>
<td valign="top" align="center">5.860</td>
<td valign="top" align="center">0.991</td>
<td valign="top" align="center">0.000</td>
<td valign="top" align="center">0.703</td>
<td valign="top" align="center">100</td>
<td valign="top" align="center">0.449</td>
<td valign="top" align="center">-0.005</td>
<td valign="top" align="center">5.768</td>
<td valign="top" align="center">0.994</td>
<td valign="top" align="center">0.000</td>
<td valign="top" align="center">78</td>
<td valign="top" align="center">1,852</td>
<td valign="top" align="center">2,027.2</td>
<td valign="top" align="center">21.6</td>
</tr>
<tr>
<td/>
<td valign="top" align="center"><italic>q</italic> = 1</td>
<td valign="top" align="center">0.170</td>
<td valign="top" align="center">4.072</td>
<td valign="top" align="center">0.823</td>
<td valign="top" align="center">0.000</td>
<td valign="top" align="center">0.873</td>
<td valign="top" align="center">98</td>
<td valign="top" align="center">0.321</td>
<td valign="top" align="center">-0.011</td>
<td valign="top" align="center">3.894</td>
<td valign="top" align="center">0.883</td>
<td valign="top" align="center">0.000</td>
<td valign="top" align="center">89</td>
<td valign="top" align="center">46</td>
<td valign="top" align="center">107.6</td>
<td valign="top" align="center">56.9</td>
</tr>
<tr>
<td/>
<td valign="top" align="center"><italic>q</italic> = 2</td>
<td valign="top" align="center">0.197</td>
<td valign="top" align="center">3.116</td>
<td valign="top" align="center">0.722</td>
<td valign="top" align="center">0.002</td>
<td valign="top" align="center">0.850</td>
<td valign="top" align="center">91</td>
<td valign="top" align="center">0.359</td>
<td valign="top" align="center">-0.012</td>
<td valign="top" align="center">2.945</td>
<td valign="top" align="center">0.805</td>
<td valign="top" align="center">0.002</td>
<td valign="top" align="center">87</td>
<td valign="top" align="center">37</td>
<td valign="top" align="center">45.1</td>
<td valign="top" align="center">56.5</td>
</tr>
<tr>
<td/>
<td valign="top" align="center"><italic>q</italic> = 3</td>
<td valign="top" align="center">0.206</td>
<td valign="top" align="center">2.699</td>
<td valign="top" align="center">0.726</td>
<td valign="top" align="center">0.001</td>
<td valign="top" align="center">0.842</td>
<td valign="top" align="center">91</td>
<td valign="top" align="center">0.364</td>
<td valign="top" align="center">-0.012</td>
<td valign="top" align="center">2.531</td>
<td valign="top" align="center">0.804</td>
<td valign="top" align="center">0.001</td>
<td valign="top" align="center">81</td>
<td valign="top" align="center">35</td>
<td valign="top" align="center">30.6</td>
<td valign="top" align="center">55.3</td>
</tr>
<tr>
<td valign="top" align="left">Han-Urban</td>
<td valign="top" align="center"><italic>q</italic> = 0</td>
<td valign="top" align="center">0.354</td>
<td valign="top" align="center">5.866</td>
<td valign="top" align="center">0.991</td>
<td valign="top" align="center">0.000</td>
<td valign="top" align="center">0.721</td>
<td valign="top" align="center">100</td>
<td valign="top" align="center">0.434</td>
<td valign="top" align="center">-0.005</td>
<td valign="top" align="center">5.745</td>
<td valign="top" align="center">0.994</td>
<td valign="top" align="center">0.000</td>
<td valign="top" align="center">75</td>
<td valign="top" align="center">1,023</td>
<td valign="top" align="center">1,744.4</td>
<td valign="top" align="center">22.2</td>
</tr>
<tr>
<td/>
<td valign="top" align="center"><italic>q</italic> = 1</td>
<td valign="top" align="center">0.113</td>
<td valign="top" align="center">4.173</td>
<td valign="top" align="center">0.791</td>
<td valign="top" align="center">0.002</td>
<td valign="top" align="center">0.918</td>
<td valign="top" align="center">97</td>
<td valign="top" align="center">0.210</td>
<td valign="top" align="center">-0.007</td>
<td valign="top" align="center">4.061</td>
<td valign="top" align="center">0.865</td>
<td valign="top" align="center">0.001</td>
<td valign="top" align="center">91</td>
<td valign="top" align="center">47</td>
<td valign="top" align="center">98.0</td>
<td valign="top" align="center">68.9</td>
</tr>
<tr>
<td/>
<td valign="top" align="center"><italic>q</italic> = 2</td>
<td valign="top" align="center">0.122</td>
<td valign="top" align="center">3.308</td>
<td valign="top" align="center">0.682</td>
<td valign="top" align="center">0.001</td>
<td valign="top" align="center">0.909</td>
<td valign="top" align="center">89</td>
<td valign="top" align="center">0.237</td>
<td valign="top" align="center">-0.009</td>
<td valign="top" align="center">3.197</td>
<td valign="top" align="center">0.779</td>
<td valign="top" align="center">0.001</td>
<td valign="top" align="center">80</td>
<td valign="top" align="center">35</td>
<td valign="top" align="center">42.8</td>
<td valign="top" align="center">70.6</td>
</tr>
<tr>
<td/>
<td valign="top" align="center"><italic>q</italic> = 3</td>
<td valign="top" align="center">0.131</td>
<td valign="top" align="center">2.896</td>
<td valign="top" align="center">0.676</td>
<td valign="top" align="center">0.002</td>
<td valign="top" align="center">0.902</td>
<td valign="top" align="center">85</td>
<td valign="top" align="center">0.237</td>
<td valign="top" align="center">-0.009</td>
<td valign="top" align="center">2.811</td>
<td valign="top" align="center">0.768</td>
<td valign="top" align="center">0.002</td>
<td valign="top" align="center">77</td>
<td valign="top" align="center">72</td>
<td valign="top" align="center">29.5</td>
<td valign="top" align="center">70.8</td>
</tr>
<tr>
<td valign="top" align="left">Kazakh-Rural</td>
<td valign="top" align="center"><italic>q</italic> = 0</td>
<td valign="top" align="center">0.389</td>
<td valign="top" align="center">5.834</td>
<td valign="top" align="center">0.978</td>
<td valign="top" align="center">0.000</td>
<td valign="top" align="center">0.687</td>
<td valign="top" align="center">100</td>
<td valign="top" align="center">0.644</td>
<td valign="top" align="center">-0.058</td>
<td valign="top" align="center">5.757</td>
<td valign="top" align="center">0.987</td>
<td valign="top" align="center">0.000</td>
<td valign="top" align="center">55</td>
<td valign="top" align="center">20</td>
<td valign="top" align="center">885.0</td>
<td valign="top" align="center">38.3</td>
</tr>
<tr>
<td/>
<td valign="top" align="center"><italic>q</italic> = 1</td>
<td valign="top" align="center">0.262</td>
<td valign="top" align="center">3.910</td>
<td valign="top" align="center">0.838</td>
<td valign="top" align="center">0.010</td>
<td valign="top" align="center">0.787</td>
<td valign="top" align="center">89</td>
<td valign="top" align="center">0.555</td>
<td valign="top" align="center">-0.075</td>
<td valign="top" align="center">3.875</td>
<td valign="top" align="center">0.923</td>
<td valign="top" align="center">0.007</td>
<td valign="top" align="center">69</td>
<td valign="top" align="center">8</td>
<td valign="top" align="center">84.2</td>
<td valign="top" align="center">64.7</td>
</tr>
<tr>
<td/>
<td valign="top" align="center"><italic>q</italic> = 2</td>
<td valign="top" align="center">0.341</td>
<td valign="top" align="center">2.966</td>
<td valign="top" align="center">0.843</td>
<td valign="top" align="center">0.009</td>
<td valign="top" align="center">0.707</td>
<td valign="top" align="center">71</td>
<td valign="top" align="center">0.618</td>
<td valign="top" align="center">-0.076</td>
<td valign="top" align="center">2.969</td>
<td valign="top" align="center">0.907</td>
<td valign="top" align="center">0.011</td>
<td valign="top" align="center">63</td>
<td valign="top" align="center">8</td>
<td valign="top" align="center">38.0</td>
<td valign="top" align="center">61.6</td>
</tr>
<tr>
<td/>
<td valign="top" align="center"><italic>q</italic> = 3</td>
<td valign="top" align="center">0.372</td>
<td valign="top" align="center">2.588</td>
<td valign="top" align="center">0.837</td>
<td valign="top" align="center">0.011</td>
<td valign="top" align="center">0.680</td>
<td valign="top" align="center">70</td>
<td valign="top" align="center">0.641</td>
<td valign="top" align="center">-0.069</td>
<td valign="top" align="center">2.543</td>
<td valign="top" align="center">0.918</td>
<td valign="top" align="center">0.009</td>
<td valign="top" align="center">55</td>
<td valign="top" align="center">11</td>
<td valign="top" align="center">27.8</td>
<td valign="top" align="center">57.1</td>
</tr>
<tr>
<td valign="top" align="left">Kazakh-Urban</td>
<td valign="top" align="center"><italic>q</italic> = 0</td>
<td valign="top" align="center">0.398</td>
<td valign="top" align="center">5.833</td>
<td valign="top" align="center">0.978</td>
<td valign="top" align="center">0.000</td>
<td valign="top" align="center">0.681</td>
<td valign="top" align="center">100</td>
<td valign="top" align="center">0.555</td>
<td valign="top" align="center">-0.031</td>
<td valign="top" align="center">5.779</td>
<td valign="top" align="center">0.986</td>
<td valign="top" align="center">0.000</td>
<td valign="top" align="center">74</td>
<td valign="top" align="center">35</td>
<td valign="top" align="center">1,061.5</td>
<td valign="top" align="center">33.8</td>
</tr>
<tr>
<td/>
<td valign="top" align="center"><italic>q</italic> = 1</td>
<td valign="top" align="center">0.326</td>
<td valign="top" align="center">3.950</td>
<td valign="top" align="center">0.882</td>
<td valign="top" align="center">0.001</td>
<td valign="top" align="center">0.738</td>
<td valign="top" align="center">99</td>
<td valign="top" align="center">0.627</td>
<td valign="top" align="center">-0.059</td>
<td valign="top" align="center">3.847</td>
<td valign="top" align="center">0.940</td>
<td valign="top" align="center">0.000</td>
<td valign="top" align="center">79</td>
<td valign="top" align="center">23</td>
<td valign="top" align="center">123.0</td>
<td valign="top" align="center">47.4</td>
</tr>
<tr>
<td/>
<td valign="top" align="center"><italic>q</italic> = 2</td>
<td valign="top" align="center">0.384</td>
<td valign="top" align="center">3.133</td>
<td valign="top" align="center">0.861</td>
<td valign="top" align="center">0.002</td>
<td valign="top" align="center">0.680</td>
<td valign="top" align="center">98</td>
<td valign="top" align="center">0.671</td>
<td valign="top" align="center">-0.059</td>
<td valign="top" align="center">3.062</td>
<td valign="top" align="center">0.925</td>
<td valign="top" align="center">0.001</td>
<td valign="top" align="center">75</td>
<td valign="top" align="center">13</td>
<td valign="top" align="center">56.5</td>
<td valign="top" align="center">48.6</td>
</tr>
<tr>
<td/>
<td valign="top" align="center"><italic>q</italic> = 3</td>
<td valign="top" align="center">0.384</td>
<td valign="top" align="center">2.811</td>
<td valign="top" align="center">0.859</td>
<td valign="top" align="center">0.003</td>
<td valign="top" align="center">0.679</td>
<td valign="top" align="center">97</td>
<td valign="top" align="center">0.611</td>
<td valign="top" align="center">-0.046</td>
<td valign="top" align="center">2.750</td>
<td valign="top" align="center">0.915</td>
<td valign="top" align="center">0.002</td>
<td valign="top" align="center">76</td>
<td valign="top" align="center">17</td>
<td valign="top" align="center">42.2</td>
<td valign="top" align="center">48.5</td>
</tr>
<tr>
<td valign="top" align="left">Mongol-Rural</td>
<td valign="top" align="center"><italic>q</italic> = 0</td>
<td valign="top" align="center">0.336</td>
<td valign="top" align="center">6.199</td>
<td valign="top" align="center">0.990</td>
<td valign="top" align="center">0.000</td>
<td valign="top" align="center">0.737</td>
<td valign="top" align="center">100</td>
<td valign="top" align="center">0.428</td>
<td valign="top" align="center">-0.009</td>
<td valign="top" align="center">6.099</td>
<td valign="top" align="center">0.994</td>
<td valign="top" align="center">0.000</td>
<td valign="top" align="center">66</td>
<td valign="top" align="center">81</td>
<td valign="top" align="center">1,671.5</td>
<td valign="top" align="center">29.1</td>
</tr>
<tr>
<td/>
<td valign="top" align="center"><italic>q</italic> = 1</td>
<td valign="top" align="center">0.129</td>
<td valign="top" align="center">4.438</td>
<td valign="top" align="center">0.708</td>
<td valign="top" align="center">0.004</td>
<td valign="top" align="center">0.904</td>
<td valign="top" align="center">83</td>
<td valign="top" align="center">0.204</td>
<td valign="top" align="center">-0.010</td>
<td valign="top" align="center">4.414</td>
<td valign="top" align="center">0.818</td>
<td valign="top" align="center">0.002</td>
<td valign="top" align="center">78</td>
<td valign="top" align="center">16</td>
<td valign="top" align="center">122.9</td>
<td valign="top" align="center">75.0</td>
</tr>
<tr>
<td/>
<td valign="top" align="center"><italic>q</italic> = 2</td>
<td valign="top" align="center">0.158</td>
<td valign="top" align="center">3.521</td>
<td valign="top" align="center">0.687</td>
<td valign="top" align="center">0.006</td>
<td valign="top" align="center">0.879</td>
<td valign="top" align="center">62</td>
<td valign="top" align="center">0.228</td>
<td valign="top" align="center">-0.014</td>
<td valign="top" align="center">3.574</td>
<td valign="top" align="center">0.773</td>
<td valign="top" align="center">0.003</td>
<td valign="top" align="center">75</td>
<td valign="top" align="center">65</td>
<td valign="top" align="center">57.2</td>
<td valign="top" align="center">75.2</td>
</tr>
<tr>
<td/>
<td valign="top" align="center"><italic>q</italic> = 3</td>
<td valign="top" align="center">0.128</td>
<td valign="top" align="center">3.174</td>
<td valign="top" align="center">0.672</td>
<td valign="top" align="center">0.006</td>
<td valign="top" align="center">0.900</td>
<td valign="top" align="center">60</td>
<td valign="top" align="center">0.193</td>
<td valign="top" align="center">-0.013</td>
<td valign="top" align="center">3.233</td>
<td valign="top" align="center">0.756</td>
<td valign="top" align="center">0.004</td>
<td valign="top" align="center">74</td>
<td valign="top" align="center">20</td>
<td valign="top" align="center">37.5</td>
<td valign="top" align="center">82.0</td>
</tr>
<tr>
<td valign="top" align="left">Mongol-Urban</td>
<td valign="top" align="center"><italic>q</italic> = 0</td>
<td valign="top" align="center">0.362</td>
<td valign="top" align="center">5.609</td>
<td valign="top" align="center">0.994</td>
<td valign="top" align="center">0.000</td>
<td valign="top" align="center">0.715</td>
<td valign="top" align="center">100</td>
<td valign="top" align="center">0.424</td>
<td valign="top" align="center">-0.008</td>
<td valign="top" align="center">5.562</td>
<td valign="top" align="center">0.997</td>
<td valign="top" align="center">0.000</td>
<td valign="top" align="center">80</td>
<td valign="top" align="center">371</td>
<td valign="top" align="center">1,222.5</td>
<td valign="top" align="center">26.4</td>
</tr>
<tr>
<td/>
<td valign="top" align="center"><italic>q</italic> = 1</td>
<td valign="top" align="center">0.192</td>
<td valign="top" align="center">3.975</td>
<td valign="top" align="center">0.918</td>
<td valign="top" align="center">0.000</td>
<td valign="top" align="center">0.855</td>
<td valign="top" align="center">100</td>
<td valign="top" align="center">0.319</td>
<td valign="top" align="center">-0.017</td>
<td valign="top" align="center">3.889</td>
<td valign="top" align="center">0.955</td>
<td valign="top" align="center">0.000</td>
<td valign="top" align="center">91</td>
<td valign="top" align="center">30</td>
<td valign="top" align="center">93.5</td>
<td valign="top" align="center">58.2</td>
</tr>
<tr>
<td/>
<td valign="top" align="center"><italic>q</italic> = 2</td>
<td valign="top" align="center">0.205</td>
<td valign="top" align="center">3.163</td>
<td valign="top" align="center">0.870</td>
<td valign="top" align="center">0.002</td>
<td valign="top" align="center">0.843</td>
<td valign="top" align="center">96</td>
<td valign="top" align="center">0.346</td>
<td valign="top" align="center">-0.020</td>
<td valign="top" align="center">3.085</td>
<td valign="top" align="center">0.913</td>
<td valign="top" align="center">0.001</td>
<td valign="top" align="center">85</td>
<td valign="top" align="center">64</td>
<td valign="top" align="center">43.5</td>
<td valign="top" align="center">58.7</td>
</tr>
<tr>
<td/>
<td valign="top" align="center"><italic>q</italic> = 3</td>
<td valign="top" align="center">0.211</td>
<td valign="top" align="center">2.781</td>
<td valign="top" align="center">0.854</td>
<td valign="top" align="center">0.000</td>
<td valign="top" align="center">0.839</td>
<td valign="top" align="center">92</td>
<td valign="top" align="center">0.361</td>
<td valign="top" align="center">-0.021</td>
<td valign="top" align="center">2.701</td>
<td valign="top" align="center">0.897</td>
<td valign="top" align="center">0.001</td>
<td valign="top" align="center">78</td>
<td valign="top" align="center">32</td>
<td valign="top" align="center">30.0</td>
<td valign="top" align="center">58.8</td>
</tr>
<tr>
<td valign="top" align="left">Tibetan-Rural</td>
<td valign="top" align="center"><italic>q</italic> = 0</td>
<td valign="top" align="center">0.375</td>
<td valign="top" align="center">5.734</td>
<td valign="top" align="center">0.987</td>
<td valign="top" align="center">0.000</td>
<td valign="top" align="center">0.702</td>
<td valign="top" align="center">100</td>
<td valign="top" align="center">0.492</td>
<td valign="top" align="center">-0.011</td>
<td valign="top" align="center">5.615</td>
<td valign="top" align="center">0.992</td>
<td valign="top" align="center">0.000</td>
<td valign="top" align="center">74</td>
<td valign="top" align="center">73</td>
<td valign="top" align="center">1,168.1</td>
<td valign="top" align="center">26.3</td>
</tr>
<tr>
<td/>
<td valign="top" align="center"><italic>q</italic> = 1</td>
<td valign="top" align="center">0.238</td>
<td valign="top" align="center">3.768</td>
<td valign="top" align="center">0.819</td>
<td valign="top" align="center">0.000</td>
<td valign="top" align="center">0.816</td>
<td valign="top" align="center">98</td>
<td valign="top" align="center">0.426</td>
<td valign="top" align="center">-0.021</td>
<td valign="top" align="center">3.627</td>
<td valign="top" align="center">0.895</td>
<td valign="top" align="center">0.001</td>
<td valign="top" align="center">92</td>
<td valign="top" align="center">54</td>
<td valign="top" align="center">92.0</td>
<td valign="top" align="center">52.1</td>
</tr>
<tr>
<td/>
<td valign="top" align="center"><italic>q</italic> = 2</td>
<td valign="top" align="center">0.247</td>
<td valign="top" align="center">2.703</td>
<td valign="top" align="center">0.756</td>
<td valign="top" align="center">0.002</td>
<td valign="top" align="center">0.806</td>
<td valign="top" align="center">74</td>
<td valign="top" align="center">0.427</td>
<td valign="top" align="center">-0.026</td>
<td valign="top" align="center">2.688</td>
<td valign="top" align="center">0.819</td>
<td valign="top" align="center">0.002</td>
<td valign="top" align="center">80</td>
<td valign="top" align="center">19</td>
<td valign="top" align="center">33.3</td>
<td valign="top" align="center">61.9</td>
</tr>
<tr>
<td/>
<td valign="top" align="center"><italic>q</italic> = 3</td>
<td valign="top" align="center">0.207</td>
<td valign="top" align="center">2.334</td>
<td valign="top" align="center">0.730</td>
<td valign="top" align="center">0.003</td>
<td valign="top" align="center">0.836</td>
<td valign="top" align="center">68</td>
<td valign="top" align="center">0.389</td>
<td valign="top" align="center">-0.025</td>
<td valign="top" align="center">2.311</td>
<td valign="top" align="center">0.811</td>
<td valign="top" align="center">0.002</td>
<td valign="top" align="center">72</td>
<td valign="top" align="center">21</td>
<td valign="top" align="center">21.2</td>
<td valign="top" align="center">68.8</td>
</tr>
<tr>
<td valign="top" align="left">Tibetan-Urban</td>
<td valign="top" align="center"><italic>q</italic> = 0</td>
<td valign="top" align="center">0.284</td>
<td valign="top" align="center">5.874</td>
<td valign="top" align="center">0.924</td>
<td valign="top" align="center">0.000</td>
<td valign="top" align="center">0.781</td>
<td valign="top" align="center">100</td>
<td valign="top" align="center">0.298</td>
<td valign="top" align="center">-0.004</td>
<td valign="top" align="center">5.890</td>
<td valign="top" align="center">0.952</td>
<td valign="top" align="center">0.000</td>
<td valign="top" align="center">64</td>
<td valign="top" align="center">41</td>
<td valign="top" align="center">779.5</td>
<td valign="top" align="center">53.9</td>
</tr>
<tr>
<td/>
<td valign="top" align="center"><italic>q</italic> = 1</td>
<td valign="top" align="center">0.193</td>
<td valign="top" align="center">3.997</td>
<td valign="top" align="center">0.756</td>
<td valign="top" align="center">0.006</td>
<td valign="top" align="center">0.848</td>
<td valign="top" align="center">78</td>
<td valign="top" align="center">0.301</td>
<td valign="top" align="center">-0.020</td>
<td valign="top" align="center">3.960</td>
<td valign="top" align="center">0.862</td>
<td valign="top" align="center">0.003</td>
<td valign="top" align="center">64</td>
<td valign="top" align="center">9</td>
<td valign="top" align="center">83.8</td>
<td valign="top" align="center">72.5</td>
</tr>
<tr>
<td/>
<td valign="top" align="center"><italic>q</italic> = 2</td>
<td valign="top" align="center">0.257</td>
<td valign="top" align="center">3.057</td>
<td valign="top" align="center">0.726</td>
<td valign="top" align="center">0.009</td>
<td valign="top" align="center">0.790</td>
<td valign="top" align="center">65</td>
<td valign="top" align="center">0.318</td>
<td valign="top" align="center">-0.014</td>
<td valign="top" align="center">3.061</td>
<td valign="top" align="center">0.840</td>
<td valign="top" align="center">0.005</td>
<td valign="top" align="center">62</td>
<td valign="top" align="center">12</td>
<td valign="top" align="center">38.2</td>
<td valign="top" align="center">69.0</td>
</tr>
<tr>
<td/>
<td valign="top" align="center"><italic>q</italic> = 3</td>
<td valign="top" align="center">0.266</td>
<td valign="top" align="center">2.699</td>
<td valign="top" align="center">0.716</td>
<td valign="top" align="center">0.011</td>
<td valign="top" align="center">0.781</td>
<td valign="top" align="center">61</td>
<td valign="top" align="center">0.291</td>
<td valign="top" align="center">-0.008</td>
<td valign="top" align="center">2.701</td>
<td valign="top" align="center">0.832</td>
<td valign="top" align="center">0.007</td>
<td valign="top" align="center">63</td>
<td valign="top" align="center">11</td>
<td valign="top" align="center">27.2</td>
<td valign="top" align="center">68.7</td>
</tr>
<tr>
<td valign="top" align="left">Uyghur-Rural</td>
<td valign="top" align="center"><italic>q</italic> = 0</td>
<td valign="top" align="center">0.380</td>
<td valign="top" align="center">5.872</td>
<td valign="top" align="center">0.995</td>
<td valign="top" align="center">0.000</td>
<td valign="top" align="center">0.698</td>
<td valign="top" align="center">100</td>
<td valign="top" align="center">0.485</td>
<td valign="top" align="center">-0.024</td>
<td valign="top" align="center">5.837</td>
<td valign="top" align="center">0.997</td>
<td valign="top" align="center">0.000</td>
<td valign="top" align="center">59</td>
<td valign="top" align="center">57</td>
<td valign="top" align="center">1,083.5</td>
<td valign="top" align="center">34.5</td>
</tr>
<tr>
<td/>
<td valign="top" align="center"><italic>q</italic> = 1</td>
<td valign="top" align="center">0.280</td>
<td valign="top" align="center">4.122</td>
<td valign="top" align="center">0.905</td>
<td valign="top" align="center">0.003</td>
<td valign="top" align="center">0.779</td>
<td valign="top" align="center">98</td>
<td valign="top" align="center">0.489</td>
<td valign="top" align="center">-0.051</td>
<td valign="top" align="center">4.071</td>
<td valign="top" align="center">0.964</td>
<td valign="top" align="center">0.002</td>
<td valign="top" align="center">85</td>
<td valign="top" align="center">10</td>
<td valign="top" align="center">108.0</td>
<td valign="top" align="center">58.9</td>
</tr>
<tr>
<td/>
<td valign="top" align="center"><italic>q</italic> = 2</td>
<td valign="top" align="center">0.494</td>
<td valign="top" align="center">2.971</td>
<td valign="top" align="center">0.917</td>
<td valign="top" align="center">0.003</td>
<td valign="top" align="center">0.577</td>
<td valign="top" align="center">71</td>
<td valign="top" align="center">0.733</td>
<td valign="top" align="center">-0.078</td>
<td valign="top" align="center">3.043</td>
<td valign="top" align="center">0.952</td>
<td valign="top" align="center">0.005</td>
<td valign="top" align="center">71</td>
<td valign="top" align="center">8</td>
<td valign="top" align="center">50.9</td>
<td valign="top" align="center">49.1</td>
</tr>
<tr>
<td/>
<td valign="top" align="center"><italic>q</italic> = 3</td>
<td valign="top" align="center">0.553</td>
<td valign="top" align="center">2.509</td>
<td valign="top" align="center">0.924</td>
<td valign="top" align="center">0.002</td>
<td valign="top" align="center">0.517</td>
<td valign="top" align="center">67</td>
<td valign="top" align="center">0.823</td>
<td valign="top" align="center">-0.083</td>
<td valign="top" align="center">2.558</td>
<td valign="top" align="center">0.958</td>
<td valign="top" align="center">0.003</td>
<td valign="top" align="center">64</td>
<td valign="top" align="center">18</td>
<td valign="top" align="center">43.4</td>
<td valign="top" align="center">42.8</td>
</tr>
<tr>
<td valign="top" align="left">Uyghur-Urban</td>
<td valign="top" align="center"><italic>q</italic> = 0</td>
<td valign="top" align="center">0.377</td>
<td valign="top" align="center">6.006</td>
<td valign="top" align="center">0.990</td>
<td valign="top" align="center">0.000</td>
<td valign="top" align="center">0.700</td>
<td valign="top" align="center">100</td>
<td valign="top" align="center">0.497</td>
<td valign="top" align="center">-0.024</td>
<td valign="top" align="center">5.960</td>
<td valign="top" align="center">0.995</td>
<td valign="top" align="center">0.000</td>
<td valign="top" align="center">71</td>
<td valign="top" align="center">36</td>
<td valign="top" align="center">1,182.1</td>
<td valign="top" align="center">34.9</td>
</tr>
<tr>
<td/>
<td valign="top" align="center"><italic>q</italic> = 1</td>
<td valign="top" align="center">0.208</td>
<td valign="top" align="center">4.244</td>
<td valign="top" align="center">0.915</td>
<td valign="top" align="center">0.001</td>
<td valign="top" align="center">0.841</td>
<td valign="top" align="center">94</td>
<td valign="top" align="center">0.416</td>
<td valign="top" align="center">-0.044</td>
<td valign="top" align="center">4.181</td>
<td valign="top" align="center">0.954</td>
<td valign="top" align="center">0.002</td>
<td valign="top" align="center">80</td>
<td valign="top" align="center">16</td>
<td valign="top" align="center">113.2</td>
<td valign="top" align="center">62.7</td>
</tr>
<tr>
<td/>
<td valign="top" align="center"><italic>q</italic> = 2</td>
<td valign="top" align="center">0.246</td>
<td valign="top" align="center">3.374</td>
<td valign="top" align="center">0.852</td>
<td valign="top" align="center">0.005</td>
<td valign="top" align="center">0.808</td>
<td valign="top" align="center">86</td>
<td valign="top" align="center">0.476</td>
<td valign="top" align="center">-0.050</td>
<td valign="top" align="center">3.318</td>
<td valign="top" align="center">0.918</td>
<td valign="top" align="center">0.005</td>
<td valign="top" align="center">81</td>
<td valign="top" align="center">11</td>
<td valign="top" align="center">49.9</td>
<td valign="top" align="center">61.9</td>
</tr>
<tr>
<td/>
<td valign="top" align="center"><italic>q</italic> = 3</td>
<td valign="top" align="center">0.264</td>
<td valign="top" align="center">2.937</td>
<td valign="top" align="center">0.845</td>
<td valign="top" align="center">0.005</td>
<td valign="top" align="center">0.794</td>
<td valign="top" align="center">75</td>
<td valign="top" align="center">0.519</td>
<td valign="top" align="center">-0.057</td>
<td valign="top" align="center">2.888</td>
<td valign="top" align="center">0.912</td>
<td valign="top" align="center">0.005</td>
<td valign="top" align="center">73</td>
<td valign="top" align="center">9</td>
<td valign="top" align="center">33.9</td>
<td valign="top" align="center">59.6</td>
</tr>
<tr>
<td valign="top" align="left">Zhuang-Rural</td>
<td valign="top" align="center"><italic>q</italic> = 0</td>
<td valign="top" align="center">0.368</td>
<td valign="top" align="center">5.826</td>
<td valign="top" align="center">0.989</td>
<td valign="top" align="center">0.000</td>
<td valign="top" align="center">0.708</td>
<td valign="top" align="center">100</td>
<td valign="top" align="center">0.475</td>
<td valign="top" align="center">-0.011</td>
<td valign="top" align="center">5.723</td>
<td valign="top" align="center">0.993</td>
<td valign="top" align="center">0.000</td>
<td valign="top" align="center">71</td>
<td valign="top" align="center">128</td>
<td valign="top" align="center">1,301.7</td>
<td valign="top" align="center">26.9</td>
</tr>
<tr>
<td/>
<td valign="top" align="center"><italic>q</italic> = 1</td>
<td valign="top" align="center">0.178</td>
<td valign="top" align="center">3.993</td>
<td valign="top" align="center">0.903</td>
<td valign="top" align="center">0.000</td>
<td valign="top" align="center">0.867</td>
<td valign="top" align="center">100</td>
<td valign="top" align="center">0.333</td>
<td valign="top" align="center">-0.019</td>
<td valign="top" align="center">3.872</td>
<td valign="top" align="center">0.947</td>
<td valign="top" align="center">0.000</td>
<td valign="top" align="center">86</td>
<td valign="top" align="center">27</td>
<td valign="top" align="center">92.2</td>
<td valign="top" align="center">59.5</td>
</tr>
<tr>
<td/>
<td valign="top" align="center"><italic>q</italic> = 2</td>
<td valign="top" align="center">0.192</td>
<td valign="top" align="center">3.090</td>
<td valign="top" align="center">0.856</td>
<td valign="top" align="center">0.001</td>
<td valign="top" align="center">0.855</td>
<td valign="top" align="center">98</td>
<td valign="top" align="center">0.387</td>
<td valign="top" align="center">-0.023</td>
<td valign="top" align="center">2.925</td>
<td valign="top" align="center">0.923</td>
<td valign="top" align="center">0.001</td>
<td valign="top" align="center">78</td>
<td valign="top" align="center">50</td>
<td valign="top" align="center">39.1</td>
<td valign="top" align="center">56.8</td>
</tr>
<tr>
<td/>
<td valign="top" align="center"><italic>q</italic> = 3</td>
<td valign="top" align="center">0.195</td>
<td valign="top" align="center">2.691</td>
<td valign="top" align="center">0.826</td>
<td valign="top" align="center">0.000</td>
<td valign="top" align="center">0.852</td>
<td valign="top" align="center">96</td>
<td valign="top" align="center">0.398</td>
<td valign="top" align="center">-0.023</td>
<td valign="top" align="center">2.521</td>
<td valign="top" align="center">0.905</td>
<td valign="top" align="center">0.000</td>
<td valign="top" align="center">72</td>
<td valign="top" align="center">25</td>
<td valign="top" align="center">26.5</td>
<td valign="top" align="center">56.6</td>
</tr>
<tr>
<td valign="top" align="left">Zhuang-Urban</td>
<td valign="top" align="center"><italic>q</italic> = 0</td>
<td valign="top" align="center">0.370</td>
<td valign="top" align="center">5.707</td>
<td valign="top" align="center">0.991</td>
<td valign="top" align="center">0.000</td>
<td valign="top" align="center">0.707</td>
<td valign="top" align="center">100</td>
<td valign="top" align="center">0.449</td>
<td valign="top" align="center">-0.010</td>
<td valign="top" align="center">5.655</td>
<td valign="top" align="center">0.994</td>
<td valign="top" align="center">0.000</td>
<td valign="top" align="center">65</td>
<td valign="top" align="center">597</td>
<td valign="top" align="center">1,266.4</td>
<td valign="top" align="center">27.0</td>
</tr>
<tr>
<td/>
<td valign="top" align="center"><italic>q</italic> = 1</td>
<td valign="top" align="center">0.232</td>
<td valign="top" align="center">4.024</td>
<td valign="top" align="center">0.934</td>
<td valign="top" align="center">0.000</td>
<td valign="top" align="center">0.823</td>
<td valign="top" align="center">100</td>
<td valign="top" align="center">0.394</td>
<td valign="top" align="center">-0.022</td>
<td valign="top" align="center">3.925</td>
<td valign="top" align="center">0.973</td>
<td valign="top" align="center">0.000</td>
<td valign="top" align="center">89</td>
<td valign="top" align="center">57</td>
<td valign="top" align="center">112.7</td>
<td valign="top" align="center">52.0</td>
</tr>
<tr>
<td/>
<td valign="top" align="center"><italic>q</italic> = 2</td>
<td valign="top" align="center">0.271</td>
<td valign="top" align="center">3.200</td>
<td valign="top" align="center">0.880</td>
<td valign="top" align="center">0.000</td>
<td valign="top" align="center">0.787</td>
<td valign="top" align="center">100</td>
<td valign="top" align="center">0.495</td>
<td valign="top" align="center">-0.031</td>
<td valign="top" align="center">3.083</td>
<td valign="top" align="center">0.946</td>
<td valign="top" align="center">0.000</td>
<td valign="top" align="center">79</td>
<td valign="top" align="center">26</td>
<td valign="top" align="center">54.5</td>
<td valign="top" align="center">50.3</td>
</tr>
<tr>
<td/>
<td valign="top" align="center"><italic>q</italic> = 3</td>
<td valign="top" align="center">0.275</td>
<td valign="top" align="center">2.822</td>
<td valign="top" align="center">0.844</td>
<td valign="top" align="center">0.001</td>
<td valign="top" align="center">0.783</td>
<td valign="top" align="center">99</td>
<td valign="top" align="center">0.489</td>
<td valign="top" align="center">-0.031</td>
<td valign="top" align="center">2.730</td>
<td valign="top" align="center">0.912</td>
<td valign="top" align="center">0.001</td>
<td valign="top" align="center">78</td>
<td valign="top" align="center">59</td>
<td valign="top" align="center">39.4</td>
<td valign="top" align="center">50.7</td>
</tr>
</tbody>
</table></table-wrap>
<table-wrap position="float" id="T2">
<label>TABLE 2</label>
<caption><p>The results (percentages with significant differences) of the permutation tests for the differences in the parameters of the DAR models for the pairwise comparisons of Chinese gut microbiome datasets [see <xref ref-type="supplementary-material" rid="DS1">Supplementary Table 2</xref> for specific results (<italic>p</italic>-value) of the four schemes (1A&#x2013;2B)].</p></caption>
<table cellspacing="5" cellpadding="5" frame="hsides" rules="groups">
<thead>
<tr>
<td valign="top" align="center" colspan="10">Scheme 1A<hr/></td>
</tr>
<tr>
<td valign="top" align="left"><bold>Diversity order</bold></td>
<td valign="top" align="left"><bold>Rural vs. Urban with all 7 ethnicity combined</bold></td>
<td valign="top" align="center" colspan="2"><bold>PL</bold><hr/></td>
<td valign="top" align="center" colspan="6"><bold>PLEC</bold><hr/></td>
</tr>
<tr>
<td/>
<td valign="top" align="justify"/><td valign="top" align="center"><bold><italic>z</italic></bold></td>
<td valign="top" align="center"><bold>ln(<italic>c</italic>)</bold></td>
<td valign="top" align="center"><bold><italic>z</italic></bold></td>
<td valign="top" align="center"><bold><italic>d</italic></bold></td>
<td valign="top" align="center"><bold>ln(<italic>c</italic>)</bold></td>
<td valign="top" align="center"><bold><italic>A</italic><sub><italic>max</italic></sub></bold></td>
<td valign="top" align="center"><bold><italic>D</italic><sub><italic>max</italic></sub></bold></td>
<td valign="top" align="center"><bold><italic>LGD</italic></bold></td>
</tr>
</thead>
<tbody>
<tr>
<td valign="top" align="left"><italic>q</italic> = 0</td>
<td valign="top" align="left">Four taxon levels (%) with significant differences</td>
<td valign="top" align="center">0</td>
<td valign="top" align="center">0</td>
<td valign="top" align="center">0</td>
<td valign="top" align="center">0</td>
<td valign="top" align="center">0</td>
<td valign="top" align="center">25% (1/4)</td>
<td valign="top" align="center">0</td>
<td valign="top" align="center">0</td>
</tr>
<tr>
<td valign="top" align="left"><italic>q</italic> = 1</td>
<td valign="top" align="left">Four taxon levels (%) with significant differences</td>
<td valign="top" align="center">0</td>
<td valign="top" align="center">0</td>
<td valign="top" align="center">0</td>
<td valign="top" align="center">0</td>
<td valign="top" align="center">0</td>
<td valign="top" align="center">0</td>
<td valign="top" align="center">0</td>
<td valign="top" align="center">0</td>
</tr>
<tr>
<td valign="top" align="left"><italic>q</italic> = 2</td>
<td valign="top" align="left">Four taxon levels (%) with significant differences</td>
<td valign="top" align="center">0</td>
<td valign="top" align="center">0</td>
<td valign="top" align="center">0</td>
<td valign="top" align="center">0</td>
<td valign="top" align="center">0</td>
<td valign="top" align="center">25% (1/4)</td>
<td valign="top" align="center">0</td>
<td valign="top" align="center">0</td>
</tr>
<tr>
<td valign="top" align="left"><italic>q</italic> = 3</td>
<td valign="top" align="left">Four taxon levels (%) with significant differences</td>
<td valign="top" align="center">0</td>
<td valign="top" align="center">0</td>
<td valign="top" align="center">0</td>
<td valign="top" align="center">0</td>
<td valign="top" align="center">0</td>
<td valign="top" align="center">0</td>
<td valign="top" align="center">0</td>
<td valign="top" align="center">0</td>
</tr>
<tr>
<td valign="top" align="center" colspan="10"><bold>Scheme 1B</bold></td>
</tr>
<tr><td colspan="10"><hr/></td></tr>
<tr>
<td valign="top" align="left"><bold>Diversity order</bold></td>
<td valign="top" align="left"><bold>Rural vs. urban of each ethnicity</bold></td>
<td valign="top" align="center" colspan="2"><bold>PL</bold><hr/></td>
<td valign="top" align="center" colspan="6"><bold>PLEC</bold><hr/></td>
</tr>
<tr>
<td/>
<td valign="top" align="justify"/><td valign="top" align="center"><bold><italic>z</italic></bold></td>
<td valign="top" align="center"><bold>ln(<italic>c</italic>)</bold></td>
<td valign="top" align="center"><bold><italic>z</italic></bold></td>
<td valign="top" align="center"><bold><italic>d</italic></bold></td>
<td valign="top" align="center"><bold>ln(<italic>c</italic>)</bold></td>
<td valign="top" align="center"><bold><italic>A</italic><sub><italic>max</italic></sub></bold></td>
<td valign="top" align="center"><bold><italic>D</italic><sub><italic>max</italic></sub></bold></td>
<td valign="top" align="center"><bold><italic>LGD</italic></bold></td>
</tr>
<tr><td colspan="10"><hr/></td></tr>
<tr>
<td valign="top" align="left"><italic>q</italic> = 0</td>
<td valign="top" align="left">Four taxon levels (%) with significant differences</td>
<td valign="top" align="center">0</td>
<td valign="top" align="center">0</td>
<td valign="top" align="center">0</td>
<td valign="top" align="center">0</td>
<td valign="top" align="center">0</td>
<td valign="top" align="center">3.5% (1/28)</td>
<td valign="top" align="center">0</td>
<td valign="top" align="center">3.5% (1/28)</td>
</tr>
<tr>
<td valign="top" align="left"><italic>q</italic> = 1</td>
<td valign="top" align="left">Four taxon levels (%) with significant differences</td>
<td valign="top" align="center">0</td>
<td valign="top" align="center">0</td>
<td valign="top" align="center">0</td>
<td valign="top" align="center">0</td>
<td valign="top" align="center">0</td>
<td valign="top" align="center">3.5% (1/28)</td>
<td valign="top" align="center">0</td>
<td valign="top" align="center">0</td>
</tr>
<tr>
<td valign="top" align="left"><italic>q</italic> = 2</td>
<td valign="top" align="left">Four taxon levels (%) with significant differences</td>
<td valign="top" align="center">0</td>
<td valign="top" align="center">0</td>
<td valign="top" align="center">0</td>
<td valign="top" align="center">0</td>
<td valign="top" align="center">0</td>
<td valign="top" align="center">3.5% (1/28)</td>
<td valign="top" align="center">0</td>
<td valign="top" align="center">0</td>
</tr>
<tr>
<td valign="top" align="left"><italic>q</italic> = 3</td>
<td valign="top" align="left">Four taxon levels (%) with significant differences</td>
<td valign="top" align="center">0</td>
<td valign="top" align="center">0</td>
<td valign="top" align="center">0</td>
<td valign="top" align="center">0</td>
<td valign="top" align="center">0</td>
<td valign="top" align="center">0</td>
<td valign="top" align="center">0</td>
<td valign="top" align="center">0</td>
</tr>
<tr>
<td valign="top" align="center" colspan="10"><bold>Scheme 2A</bold></td>
</tr>
<tr><td colspan="10"><hr/></td></tr>
<tr>
<td valign="top" align="left"><bold>Diversity order</bold></td>
<td valign="top" align="left"><bold>Pairwise ethnicity comparisons with rural and urban combined</bold></td>
<td valign="top" align="center" colspan="2"><bold>PL</bold><hr/></td>
<td valign="top" align="center" colspan="6"><bold>PLEC</bold><hr/></td>
</tr>
<tr>
<td/>
<td valign="top" align="justify"/><td valign="top" align="center"><bold><italic>z</italic></bold></td>
<td valign="top" align="center"><bold>ln(<italic>c</italic>)</bold></td>
<td valign="top" align="center"><bold><italic>z</italic></bold></td>
<td valign="top" align="center"><bold><italic>d</italic></bold></td>
<td valign="top" align="center"><bold>ln(<italic>c</italic>)</bold></td>
<td valign="top" align="center"><bold><italic>A</italic><sub><italic>max</italic></sub></bold></td>
<td valign="top" align="center"><bold><italic>D</italic><sub><italic>max</italic></sub></bold></td>
<td valign="top" align="center"><bold><italic>LGD</italic></bold></td>
</tr>
<tr><td colspan="10"><hr/></td></tr>
<tr>
<td valign="top" align="left"><italic>q</italic> = 0</td>
<td valign="top" align="left">Four taxon levels (%) with significant differences</td>
<td valign="top" align="center">2.3% (2/84)</td>
<td valign="top" align="center">0</td>
<td valign="top" align="center">0</td>
<td valign="top" align="center">0</td>
<td valign="top" align="center">0</td>
<td valign="top" align="center">2.3% (2/84)</td>
<td valign="top" align="center">0</td>
<td valign="top" align="center">3.6% (3/84)</td>
</tr>
<tr>
<td valign="top" align="left"><italic>q</italic> = 1</td>
<td valign="top" align="left">Four taxon levels (%) with significant differences</td>
<td valign="top" align="center">0</td>
<td valign="top" align="center">0</td>
<td valign="top" align="center">0</td>
<td valign="top" align="center">0</td>
<td valign="top" align="center">0</td>
<td valign="top" align="center">2.3% (2/84)</td>
<td valign="top" align="center">9.5% (8/84)</td>
<td valign="top" align="center">0</td>
</tr>
<tr>
<td valign="top" align="left"><italic>q</italic> = 2</td>
<td valign="top" align="left">Four taxon levels (%) with significant differences</td>
<td valign="top" align="center">0</td>
<td valign="top" align="center">0</td>
<td valign="top" align="center">0</td>
<td valign="top" align="center">0</td>
<td valign="top" align="center">0</td>
<td valign="top" align="center">7.1% (6/84)</td>
<td valign="top" align="center">13.1% (11/84)</td>
<td valign="top" align="center">0</td>
</tr>
<tr>
<td valign="top" align="left"><italic>q</italic> = 3</td>
<td valign="top" align="left">Four taxon levels (%) with significant differences</td>
<td valign="top" align="center">0</td>
<td valign="top" align="center">0</td>
<td valign="top" align="center">0</td>
<td valign="top" align="center">0</td>
<td valign="top" align="center">0</td>
<td valign="top" align="center">0</td>
<td valign="top" align="center">8.3% (7/84)</td>
<td valign="top" align="center">0</td>
</tr>
<tr>
<td valign="top" align="center" colspan="10"><bold>Scheme 2B</bold></td>
</tr>
<tr><td colspan="10"><hr/></td></tr>
<tr>
<td valign="top" align="left"><bold>Diversity order</bold></td>
<td valign="top" align="left"><bold>Pairwise comparison of each ethnicity for rural lifestyle</bold></td>
<td valign="top" align="center" colspan="2"><bold>PL</bold><hr/></td>
<td valign="top" align="center" colspan="6"><bold>PLEC</bold><hr/></td>
</tr>
<tr>
<td/>
<td valign="top" align="justify"/><td valign="top" align="center"><bold><italic>z</italic></bold></td>
<td valign="top" align="center"><bold>ln(<italic>c</italic>)</bold></td>
<td valign="top" align="center"><bold><italic>z</italic></bold></td>
<td valign="top" align="center"><bold><italic>d</italic></bold></td>
<td valign="top" align="center"><bold>ln(<italic>c</italic>)</bold></td>
<td valign="top" align="center"><bold><italic>A</italic><sub><italic>max</italic></sub></bold></td>
<td valign="top" align="center"><bold><italic>D</italic><sub><italic>max</italic></sub></bold></td>
<td valign="top" align="center"><bold><italic>LGD</italic></bold></td>
</tr>
<tr><td colspan="10"><hr/></td></tr>
<tr>
<td valign="top" align="left"><italic>q</italic> = 0</td>
<td valign="top" align="left">Four taxon levels (%) with significant differences</td>
<td valign="top" align="center">2.3% (2/84)</td>
<td valign="top" align="center">0</td>
<td valign="top" align="center">0</td>
<td valign="top" align="center">0</td>
<td valign="top" align="center">0</td>
<td valign="top" align="center">7.1% (6/84)</td>
<td valign="top" align="center">1.2% (1/84)</td>
<td valign="top" align="center">3.6% (3/84)</td>
</tr>
<tr>
<td valign="top" align="left"><italic>q</italic> = 1</td>
<td valign="top" align="left">Four taxon levels (%) with significant differences</td>
<td valign="top" align="center">0</td>
<td valign="top" align="center">0</td>
<td valign="top" align="center">0</td>
<td valign="top" align="center">0</td>
<td valign="top" align="center">0</td>
<td valign="top" align="center">7.1% (6/84)</td>
<td valign="top" align="center">6.0% (5/84)</td>
<td valign="top" align="center">0</td>
</tr>
<tr>
<td valign="top" align="left"><italic>q</italic> = 2</td>
<td valign="top" align="left">Four taxon levels (%) with significant differences</td>
<td valign="top" align="center">0</td>
<td valign="top" align="center">0</td>
<td valign="top" align="center">0</td>
<td valign="top" align="center">0</td>
<td valign="top" align="center">0</td>
<td valign="top" align="center">0</td>
<td valign="top" align="center">7.1% (6/84)</td>
<td valign="top" align="center">0</td>
</tr>
<tr>
<td valign="top" align="left"><italic>q</italic> = 3</td>
<td valign="top" align="left">Four taxon levels (%) with significant differences</td>
<td valign="top" align="center">0</td>
<td valign="top" align="center">0</td>
<td valign="top" align="center">0</td>
<td valign="top" align="center">0</td>
<td valign="top" align="center">0</td>
<td valign="top" align="center">0</td>
<td valign="top" align="center">9.5% (8/84)</td>
<td valign="top" align="center">0</td>
</tr>
<tr><td colspan="10"><hr/></td></tr>
<tr>
<td valign="top" align="left"><bold>Diversity order</bold></td>
<td valign="top" align="left"><bold>Pairwise comparison of each ethnicity for urban lifestyle</bold></td>
<td valign="top" align="center" colspan="2"><bold>PL</bold><hr/></td>
<td valign="top" align="center" colspan="6"><bold>PLEC</bold><hr/></td>
</tr>
<tr>
<td/>
<td valign="top" align="justify"/><td valign="top" align="center"><bold><italic>z</italic></bold></td>
<td valign="top" align="center"><bold>ln(<italic>c</italic>)</bold></td>
<td valign="top" align="center"><bold><italic>z</italic></bold></td>
<td valign="top" align="center"><bold><italic>d</italic></bold></td>
<td valign="top" align="center"><bold>ln(<italic>c</italic>)</bold></td>
<td valign="top" align="center"><bold><italic>A</italic><sub><italic>max</italic></sub></bold></td>
<td valign="top" align="center"><bold><italic>D</italic><sub><italic>max</italic></sub></bold></td>
<td valign="top" align="center"><bold><italic>LGD</italic></bold></td>
</tr>
<tr><td colspan="10"><hr/></td></tr>
<tr>
<td valign="top" align="left"><italic>q</italic> = 0</td>
<td valign="top" align="left">Four taxon levels (%) with significant differences</td>
<td valign="top" align="center">0</td>
<td valign="top" align="center">0</td>
<td valign="top" align="center">0</td>
<td valign="top" align="center">0</td>
<td valign="top" align="center">0</td>
<td valign="top" align="center">7.1% (6/84)</td>
<td valign="top" align="center">0</td>
<td valign="top" align="center">2.3% (2/84)</td>
</tr>
<tr>
<td valign="top" align="left"><italic>q</italic> = 1</td>
<td valign="top" align="left">Four taxon levels (%) with significant differences</td>
<td valign="top" align="center">0</td>
<td valign="top" align="center">0</td>
<td valign="top" align="center">0</td>
<td valign="top" align="center">0</td>
<td valign="top" align="center">0</td>
<td valign="top" align="center">1.2% (1/84)</td>
<td valign="top" align="center">3.6% (3/84)</td>
<td valign="top" align="center">0</td>
</tr>
<tr>
<td valign="top" align="left"><italic>q</italic> = 2</td>
<td valign="top" align="left">Four taxon levels (%) with significant differences</td>
<td valign="top" align="center">0</td>
<td valign="top" align="center">0</td>
<td valign="top" align="center">0</td>
<td valign="top" align="center">0</td>
<td valign="top" align="center">0</td>
<td valign="top" align="center">0</td>
<td valign="top" align="center">6.0% (5/84)</td>
<td valign="top" align="center">0</td>
</tr>
<tr>
<td valign="top" align="left"><italic>q</italic> = 3</td>
<td valign="top" align="left">Four taxon levels (%) with significant differences</td>
<td valign="top" align="center">0</td>
<td valign="top" align="center">0</td>
<td valign="top" align="center">0</td>
<td valign="top" align="center">0</td>
<td valign="top" align="center">0</td>
<td valign="top" align="center">4.8% (4/84)</td>
<td valign="top" align="center">7.1% (6/84)</td>
<td valign="top" align="center">0</td>
</tr>
</tbody>
</table></table-wrap>
</sec>
<sec id="S3.SS2">
<title>Four Diversity&#x2013;Area Relationship Profiles</title>
<p>(<italic>i</italic>) <italic>DAR</italic> profile: The diversity scaling parameter (<italic>z</italic>) was defined as the <italic>DAR</italic> profile, which quantitatively describes community similarity. The higher the diversity scaling parameter <italic>z</italic> is, the greater are the differences between individuals in the community. With the gradual refinement of the taxonomy level, the inter-individual heterogeneity in almost all the cohorts of four schemes progressively increased, as well as the total cohort (phylum: <italic>z</italic> = 0.169; family: <italic>z</italic> = 0.255; genus: <italic>z</italic> = 0.288; species: <italic>z</italic> = 0.309, when diversity order <italic>q</italic> = 0). Based on Scheme 1A, for the rural and urban cohorts, from the phylum level to the species level, the urban individuals had a higher diversity heterogeneity at diversity order <italic>q</italic> = 0. The parameter of diversity scaling (<italic>z</italic>) of each cohort increased gradually and always kept the trend of the rural cohort being smaller than the urban cohort at <italic>q</italic> = 0 (<xref ref-type="fig" rid="F2">Figure 2</xref>). We then used Scheme 1B to further determine the influence of lifestyles on the diversity scaling of Chinese gut microbiome. We compared the <italic>DAR</italic> profiles of urban and rural individuals in the same ethnic group, and there was no statistically significant difference.</p>
<fig id="F2" position="float">
<label>FIGURE 2</label>
<caption><p>The DAR profiles of the rural and urban cohorts at phylum, family, genus, and species levels when diversity order <italic>q</italic> = 0 (Scheme 1A).</p></caption>
<graphic mimetype="image" mime-subtype="tiff" xlink:href="fmicb-12-736393-g002.tif"/>
</fig>
<p>In order to detect the impact of ethnicities on the <italic>DAR</italic> profiles, we set up 1,008 pairwise comparisons from phylum to species levels when diversity order <italic>q</italic> = 0&#x2013;3 according to Schemes 2A and 2B (Scheme 2A: seven ethnic cohorts with urban and rural combined, 336 pairwise comparisons; Scheme 2B: cohorts with the same lifestyles but different ethnicities, 672 pairwise comparisons). We noticed that there were four pairwise comparisons of the <italic>DAR</italic> profiles showing statistically significant differences at the species level when diversity order <italic>q</italic> = 0 (Bai vs. Han; Bai vs. Zhuang; Bai-Rural vs. Han-Rural; Bai-Rural vs. Zhuang-Rural cohorts). <xref ref-type="fig" rid="F3">Figure 3</xref> displays the <italic>DAR</italic> profiles of all cohorts from Schemes 2A and 2B at the species level when diversity order <italic>q</italic> = 0. Different from lifestyles, we found that ethnicities influenced the diversity heterogeneity of the Chinese gut microbiome significantly.</p>
<fig id="F3" position="float">
<label>FIGURE 3</label>
<caption><p>The DAR profiles of all cohorts from Schemes 2A and 2B at the species level when diversity order <italic>q</italic> = 0 (the same number of &#x201C;&#x002A;, &#x002A;&#x002A;, &#x002A;&#x002A;&#x002A;, &#x002A;&#x002A;&#x002A;&#x002A;&#x201D; indicates a significant difference in pairwise comparison).</p></caption>
<graphic mimetype="image" mime-subtype="tiff" xlink:href="fmicb-12-736393-g003.tif"/>
</fig>
<p>(<italic>ii</italic>) <italic>PDO</italic> profile: The parameter of pairwise diversity overlap (<italic>g</italic>) was defined as the <italic>PDO</italic> profile, which also quantitatively describes the community similarity. The larger the parameter <italic>g</italic> is, the higher the overlap is, that is, the smaller the diversity heterogeneity among individuals in the community. In contrast to the <italic>DAR</italic> profile, with the gradual refinement of the taxonomy level and the rise of the diversity order, the <italic>PDO</italic> profile of each cohort showed a general downward trend (<xref ref-type="fig" rid="F4">Figure 4</xref>). According to Scheme 1A, we noticed that the <italic>PDO</italic> profile presented a trend of the rural cohort being higher than the urban cohort. As for Scheme 1B, we found the <italic>PDO</italic> profiles of urban and rural cohorts of the same ethnic group were similar at various taxonomy levels when diversity order <italic>q</italic> = 0, except for the Bai nationality. Based on Scheme 2A, we noticed that the <italic>PDO</italic> profiles of the other ethnic groups, except the Bai, were relatively close. <xref ref-type="fig" rid="F5">Figure 5</xref> displayed the <italic>PDO</italic> profiles of all cohorts from Schemes 2A and 2B at the species level when diversity order <italic>q</italic> = 0.</p>
<fig id="F4" position="float">
<label>FIGURE 4</label>
<caption><p>The PDO profiles of the rural and urban cohorts at phylum, family, genus, and species levels when diversity order <italic>q</italic> = 0 (Scheme 1A).</p></caption>
<graphic mimetype="image" mime-subtype="tiff" xlink:href="fmicb-12-736393-g004.tif"/>
</fig>
<fig id="F5" position="float">
<label>FIGURE 5</label>
<caption><p>The PDO profiles of all cohorts from Schemes 2A and 2B at the species level when diversity order <italic>q</italic> = 0.</p></caption>
<graphic mimetype="image" mime-subtype="tiff" xlink:href="fmicb-12-736393-g005.tif"/>
</fig>
<p>(<italic>iii</italic>) <italic>MAD</italic> profile: The maximum accrual diversity (<italic>D</italic><sub><italic>max</italic></sub>) was defined as the <italic>MAD</italic> profile. When diversity order <italic>q</italic> = 0, <italic>D</italic><sub><italic>max</italic></sub> is the maximum estimated diversity within a community, which means the maximum number of phylum, family, genus, and species. The <italic>D</italic><sub><italic>max</italic></sub> of the total cohort was always the largest in all cohorts at the four taxonomy levels when diversity order <italic>q</italic> = 0. According to Scheme 1A, we found that the <italic>MAD</italic> profile of the rural cohort was lower than that of the urban cohort at the phylum level, but the opposite trend was shown at other taxonomy levels (<xref ref-type="fig" rid="F6">Figure 6</xref>). The <italic>MAD</italic> profiles of the rural and urban cohorts of each ethnic group did not change as consistently as the rise of the taxonomy level based on Scheme 1B. In addition, we found that the potential maximum species number of the Bai nationality was lowest in seven ethnic groups according to Schemes 2A and 2B, although the numbers of potential maximum phyla, families, and genera of the Bai nationality were similar to those of other ethnic groups. <xref ref-type="fig" rid="F7">Figure 7</xref> shows the <italic>MAD</italic> profiles of seven ethnic groups at the species level when diversity order <italic>q</italic> = 0 (Schemes 2A and 2B).</p>
<fig id="F6" position="float">
<label>FIGURE 6</label>
<caption><p>The MAD profiles of the rural and urban cohorts at phylum, family, genus, and species levels when diversity order <italic>q</italic> = 0 (Scheme 1A).</p></caption>
<graphic mimetype="image" mime-subtype="tiff" xlink:href="fmicb-12-736393-g006.tif"/>
</fig>
<fig id="F7" position="float">
<label>FIGURE 7</label>
<caption><p>The MAD profiles of all cohorts from Schemes 2A and 2B at the species level when diversity order <italic>q</italic> = 0 (&#x201C;&#x002A;&#x201D; indicated a significant difference between pairwise comparisons).</p></caption>
<graphic mimetype="image" mime-subtype="tiff" xlink:href="fmicb-12-736393-g007.tif"/>
</fig>
<p>By doing permutation tests for 1,136 pairwise comparisons based on four schemes (1A&#x2013;2B), we found that only one pairwise comparison (the <italic>D</italic><sub><italic>max</italic></sub> of the Bai-Rural vs. Han-Rural: 815.3 vs. 2,029.9) differed significantly at the species level when diversity order <italic>q</italic> = 0. It was undeniable that ethnicity had a statistically significant impact on the potential maximal species richness in the Bai-Rural cohort and the Han-Rural cohorts. Especially with the increase of the diversity order, significant differences were found in more than 50 pairwise comparisons of two schemes (2A and 2B) according to the results of <xref ref-type="table" rid="T2">Table 2</xref>. These findings suggested that although ethnicities did not influence the potential maximal species richness of most communities, it significantly affected the potential maximal diversity of dominant phylum/family/genus/species. Because when <italic>q</italic> &#x003E; 0, the <italic>MAD</italic> profile described the diversity of dominant phylum/family/genus/species. Interestingly, we did not observe similar effects of lifestyles on the <italic>MAD</italic> profile.</p>
<p>(<italic>iv</italic>) <italic>LGD</italic> profile: The <italic>LGD</italic> profile estimated the ratio of the microbiome diversity within the local scale on a global scale, that is, the ratio of human gut microbiome diversity in the global ecosystem. In Scheme 1A, the <italic>LGD</italic> profile of the rural cohort is higher than that of the urban cohort at the first three taxonomy levels. According to Scheme 1B, we did not observe similar trends. <xref ref-type="fig" rid="F8">Figure 8</xref> exhibited the <italic>LGD</italic> ratio of urban and rural cohorts for each race at the species level when diversity order <italic>q</italic> = 0. At the species level, except for the Bai, Kazakh, and Mongol nationalities, the <italic>LGD</italic> profiles of other ethnic groups were smaller in the rural areas than in the urban areas; especially for the Tibetans, we have found a significant difference between Tibetan-Rural and Tibetan-Urban cohorts. Based on Scheme 2A, we found that the <italic>LGD</italic> profiles of all cohorts decreased with the refinement of taxonomy level, except for the Bai cohort.</p>
<fig id="F8" position="float">
<label>FIGURE 8</label>
<caption><p>The LGD profiles of all cohorts from Scheme 1B at the species level when diversity order <italic>q</italic> = 0 (&#x201C;&#x002A;&#x201D; indicated a significant difference between pairwise comparisons).</p></caption>
<graphic mimetype="image" mime-subtype="tiff" xlink:href="fmicb-12-736393-g008.tif"/>
</fig>
<p>For the <italic>LGD</italic> profile, significant differences were found in 9 of the 1,136 pairwise comparisons for Schemes 1A&#x2013;2B (Tibetan-Rural vs. Tibetan-Urban; Bai vs. Han; Bai vs. Mongol; Bai vs. Zhuang; Bai-Rural vs. Han-Rural; Bai-Rural vs. Tibetan-Rural; Bai-Rural vs. Zhuang-Rural; Han-Urban vs. Tibetan-Urban; and Tibetan-Urban vs. Zhuang-Urban). <xref ref-type="fig" rid="F9">Figure 9</xref> displayed the <italic>LGD</italic> ratio of all cohorts for Schemes 2A and 2B at the species level.</p>
<fig id="F9" position="float">
<label>FIGURE 9</label>
<caption><p>The LGD profiles of all cohorts from Schemes 2A and 2B at the species level.</p></caption>
<graphic mimetype="image" mime-subtype="tiff" xlink:href="fmicb-12-736393-g009.tif"/>
</fig>
</sec>
</sec>
<sec id="S4" sec-type="conclusion|discussion">
<title>Conclusions and Discussion</title>
<p>We applied the DAR model to explore the influence of ethnicity and lifestyle on the Chinese gut microbiome, by extending the SAR model from species richness to general biodiversity metrics (in Hill numbers) and providing tools to estimate some key biodiversity parameters such as maximal accrual diversity or potential diversity (also known as dark diversity), which includes diversities that are absent locally but present in the regional species pool (so that they may appear at some time point) (<xref ref-type="bibr" rid="B32">Ma, 2019a</xref>). Our study tested whether ethnicities and lifestyles influence the DAR parameters based on four design schemes (<xref ref-type="fig" rid="F1">Figure 1</xref>).</p>
<p>Firstly, we found that there were significant differences in diversity scaling (<italic>DAR</italic> profile) in only 0.40% (4/1,008) of pairwise comparisons on ethnic groups (i.e., Bai vs. Han; Bai vs. Zhuang; Bai-Rural vs. Han-Rural; and Bai-Rural vs. Zhuang-Rural). The 0.40% pairwise comparisons with significant differences all occurred when diversity order <italic>q</italic> = 0, but there was no significant difference when <italic>q</italic> &#x003E; 0. In contrast, lifestyles had no significant effect on <italic>DAR</italic> profiles at all diversity orders. In general, ethnicity and lifestyle have no effect on DAR profiles. These results also suggested that the structure of the dominant species in the Chinese gut microbiome might be stable and not affected by ethnicities or lifestyles, possibly because these species (i.e., <italic>Eubacterium rectale</italic>, <italic>Faecalibacterium prausnitzii</italic>, and <italic>Veillonella atypical</italic>) are related to important functions (i.e., metabolism) (<xref ref-type="bibr" rid="B43">Sokol et al., 2008</xref>; <xref ref-type="bibr" rid="B2">Berni Canani et al., 2012</xref>; <xref ref-type="bibr" rid="B19">Han et al., 2020</xref>). Moreover, there were significant differences only at the species level and none at higher taxonomy levels. These findings indicated that compared with the species level, higher taxonomy levels of Chinese gut microbiome were more stable without the influences of ethnicities and lifestyles. The <italic>PDO</italic> profiles estimated the pairwise diversity overlaps between two communities. In the comparison of the <italic>PDO</italic> and <italic>DAR</italic> profiles, it is not hard to see that the two profiles show reciprocal patterns (<xref ref-type="fig" rid="F4">Figures 4</xref>&#x2013;<xref ref-type="fig" rid="F4">7</xref>). This is because the <italic>PDO</italic> profile is a precise function of the <italic>DAR</italic> profile (Equation 5), and the <italic>PDO</italic> profile provides a more intuitive and convenient measure of community overlap than the <italic>DAR</italic> profile.</p>
<p>Secondly, for the <italic>MAD</italic> profile, only one pairwise comparison (Bai-Rural vs. Han-Rural) differed significantly at the species level when diversity order <italic>q</italic> = 0, and 60 pairwise comparisons differed significantly when diversity order <italic>q</italic> &#x003E; 0. A total of 1,008 pairwise comparisons were used to detect the impact of ethnicities, and 6.1% (61/1,008) of the comparisons showed significant differences. The numbers of pairwise comparisons with significant differences at phylum, family, genus, and species levels were 37, 4, 8, and 10, respectively. Similar to findings in the <italic>DAR</italic> profiles, lifestyles had no significant effect on <italic>MAD</italic> profiles at all diversity orders. We speculated that the main reason for the difference between Bai-Rural and Han-Rural might be that the individuals of the Han cohort came from six countries in four provinces, while the individuals of the Bai cohort came from only two countries in one province. This results in a significant difference of <italic>A</italic><sub><italic>max</italic></sub> between Bai-Rural and Han-rural in the DAR models, which in turn affects the <italic>MAD</italic> profile. In addition, <xref ref-type="bibr" rid="B27">Li et al. (2015)</xref> found that the infection risk of <italic>Toxoplasma gondii</italic> in the Bai nationality of Dali was much higher than the national average, and they believed that the habit of eating raw pork and/or liver might be a potential risk of infection with <italic>T. gondii</italic>. We considered that this special dietary habit might also affect gut microbes. Of course, gut microbes are affected by many factors, and the specific reasons may need further investigation.</p>
<p>In addition, for the <italic>LGD</italic> profile, we noted that 0.79% (8/1,008) pairwise comparisons showed that ethnicities had a significant influence on <italic>LGD</italic> profiles (Bai vs. Han; Bai vs. Mongol; Bai vs. Zhuang; Bai-Rural vs. Han-Rural; Bai-Rural vs. Tibetan-Rural; Bai-Rural vs. Zhuang-Rural; Han-Urban vs. Tibetan-Urban; and Tibetan-Urban vs. Zhuang-Urban). The 0.78% (1/128) pairwise comparisons showed that lifestyles had a significant impact on <italic>LGD</italic> profile (Tibetan-Rural vs. Tibetan-Urban). Same as <italic>DAR</italic> profiles, there were significant differences on <italic>LGD</italic> profiles at the species level when diversity order <italic>q</italic> = 0, and there is no significant difference when <italic>q</italic> &#x003E; 0 or at other taxonomy levels.</p>
<p>Across the three profiles, lifestyle affected only 0.78% of pairwise comparisons in the <italic>LGD</italic> profiles and not the other two profiles, while ethnicity affected 0.40, 6.1, and 0.79% pairwise comparisons in <italic>DAR</italic>, <italic>MAD</italic>, and <italic>LGD</italic>, respectively. These findings suggested that the influence of lifestyle on DAR parameters was negligible, and the influence of ethnicity was only reflected in few pairwise comparisons. Ethnicity seems to have stronger effects on DAR parameters than lifestyle, which is also consistent with the research of <xref ref-type="bibr" rid="B53">Zhang et al. (2015)</xref> that subjects mainly clustered by their ethnicity/geography, not lifestyle. These might be the result of China&#x2019;s rapid urbanization during the last few decades, which has brought rural and urban lifestyles closer together. The influence of ethnicity on these profiles may be attributed to its genetic effect. Existing studies have also shown that racial/ethnic background strongly influences metabolism and microbes (<xref ref-type="bibr" rid="B24">Human Microbiome Project Consortium, 2012</xref>; <xref ref-type="bibr" rid="B11">Dehingia et al., 2017</xref>). A study in the United Kingdom involving 416 pairs of twins also suggested that host genes determine gut microbiome and obesity phenotype (<xref ref-type="bibr" rid="B16">Goodrich et al., 2014</xref>). In addition, the effect on DAR parameters was mainly concentrated when diversity order <italic>q</italic> &#x003E; 0, and we deduced that this is due to the small sample size of this study or other confounding factors, such as geography. Therefore, the future studies may try to collect more samples of the Chinese gut microbiome in more areas to verify and expand our conclusions.</p>
</sec>
<sec id="S5" sec-type="data-availability">
<title>Data Availability Statement</title>
<p>Publicly available datasets were analyzed in this study. This data can be found here: <ext-link ext-link-type="uri" xlink:href="https://www.mg-rast.org/">https://www.mg-rast.org/</ext-link>, mgp1538.</p>
</sec>
<sec id="S6">
<title>Author Contributions</title>
<p>ZM and LD designed the study and revised the manuscript. WX and DG performed the data analysis and wrote the draft. HC and YQ performed the data curation. All authors approved the submission.</p>
</sec>
<sec id="conf1" sec-type="COI-statement">
<title>Conflict of Interest</title>
<p>The authors declare that the research was conducted in the absence of any commercial or financial relationships that could be construed as a potential conflict of interest.</p>
</sec>
<sec id="pudiscl1" sec-type="disclaimer">
<title>Publisher&#x2019;s Note</title>
<p>All claims expressed in this article are solely those of the authors and do not necessarily represent those of their affiliated organizations, or those of the publisher, the editors and the reviewers. Any product that may be evaluated in this article, or claim that may be made by its manufacturer, is not guaranteed or endorsed by the publisher.</p>
</sec>
</body>
<back>
<sec id="S7" sec-type="funding-information">
<title>Funding</title>
<p>This research received funding from the following sources: The State Key Laboratory of Genetic Resources and Evolution (GREKF19-07), the National Natural Science Foundation (NSFC) Grant (No. 31970116) on Medical Ecology of Human Microbiome, and Yunnan Applied Basic Research Projects (YNWRMY-2019-067).</p>
</sec>
<sec id="S8" sec-type="supplementary-material">
<title>Supplementary Material</title>
<p>The Supplementary Material for this article can be found online at: <ext-link ext-link-type="uri" xlink:href="https://www.frontiersin.org/articles/10.3389/fmicb.2021.736393/full#supplementary-material">https://www.frontiersin.org/articles/10.3389/fmicb.2021.736393/full#supplementary-material</ext-link>
<supplementary-material xlink:href="Data_Sheet_1.ZIP" id="DS1" mimetype="application/zip" xmlns:xlink="http://www.w3.org/1999/xlink"/>
</p>
</sec>
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