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<front>
<journal-meta>
<journal-id journal-id-type="publisher-id">Front. Plant Sci.</journal-id>
<journal-title>Frontiers in Plant Science</journal-title>
<abbrev-journal-title abbrev-type="pubmed">Front. Plant Sci.</abbrev-journal-title>
<issn pub-type="epub">1664-462X</issn>
<publisher>
<publisher-name>Frontiers Media S.A.</publisher-name>
</publisher>
</journal-meta>
<article-meta>
<article-id pub-id-type="doi">10.3389/fpls.2025.1643655</article-id>
<article-categories>
<subj-group subj-group-type="heading">
<subject>Plant Science</subject>
<subj-group>
<subject>Original Research</subject>
</subj-group>
</subj-group>
</article-categories>
<title-group>
<article-title>Effects of grazing on plant functional groups across spatial scales in <italic>Stipa breviflora</italic> desert steppe</article-title>
</title-group>
<contrib-group>
<contrib contrib-type="author">
<name>
<surname>Wang</surname>
<given-names>Li</given-names>
</name>
<xref ref-type="aff" rid="aff1">
<sup>1</sup>
</xref>
<uri xlink:href="https://loop.frontiersin.org/people/3069314/overview"/>
<role content-type="https://credit.niso.org/contributor-roles/data-curation/"/>
<role content-type="https://credit.niso.org/contributor-roles/validation/"/>
<role content-type="https://credit.niso.org/contributor-roles/methodology/"/>
<role content-type="https://credit.niso.org/contributor-roles/writing-original-draft/"/>
<role content-type="https://credit.niso.org/contributor-roles/formal-analysis/"/>
</contrib>
<contrib contrib-type="author">
<name>
<surname>Du</surname>
<given-names>Xiaoyu</given-names>
</name>
<xref ref-type="aff" rid="aff1">
<sup>1</sup>
</xref>
<role content-type="https://credit.niso.org/contributor-roles/software/"/>
<role content-type="https://credit.niso.org/contributor-roles/conceptualization/"/>
<role content-type="https://credit.niso.org/contributor-roles/writing-review-editing/"/>
</contrib>
<contrib contrib-type="author" corresp="yes">
<name>
<surname>Liu</surname>
<given-names>Juhong</given-names>
</name>
<xref ref-type="aff" rid="aff1">
<sup>1</sup>
</xref>
<xref ref-type="author-notes" rid="fn001">
<sup>*</sup>
</xref>
<role content-type="https://credit.niso.org/contributor-roles/funding-acquisition/"/>
<role content-type="https://credit.niso.org/contributor-roles/writing-review-editing/"/>
<role content-type="https://credit.niso.org/contributor-roles/investigation/"/>
<role content-type="https://credit.niso.org/contributor-roles/data-curation/"/>
</contrib>
<contrib contrib-type="author">
<name>
<surname>Zhang</surname>
<given-names>Jun</given-names>
</name>
<xref ref-type="aff" rid="aff1">
<sup>1</sup>
</xref>
<role content-type="https://credit.niso.org/contributor-roles/writing-review-editing/"/>
<role content-type="https://credit.niso.org/contributor-roles/validation/"/>
</contrib>
<contrib contrib-type="author">
<name>
<surname>Lv</surname>
<given-names>Shijie</given-names>
</name>
<xref ref-type="aff" rid="aff2">
<sup>2</sup>
</xref>
<role content-type="https://credit.niso.org/contributor-roles/writing-review-editing/"/>
<role content-type="https://credit.niso.org/contributor-roles/methodology/"/>
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</contrib-group>
<aff id="aff1">
<sup>1</sup>
<institution>College of Science, Inner Mongolia Agricultural University</institution>, <addr-line>Hohhot</addr-line>,&#xa0;<country>China</country>
</aff>
<aff id="aff2">
<sup>2</sup>
<institution>College of Grassland Science, Inner Mongolia Agricultural University</institution>, <addr-line>Hohhot</addr-line>,&#xa0;<country>China</country>
</aff>
<author-notes>
<fn fn-type="edited-by">
<p>Edited by: <ext-link ext-link-type="uri" xlink:href="https://loop.frontiersin.org/people/755930/overview">Shixiao Yu</ext-link>, Sun Yat-sen University, China</p>
</fn>
<fn fn-type="edited-by">
<p>Reviewed by: <ext-link ext-link-type="uri" xlink:href="https://loop.frontiersin.org/people/1352671/overview">Roxana Vidican</ext-link>, University of Agricultural Sciences and Veterinary Medicine of Cluj-Napoca, Romania</p>
<p>
<ext-link ext-link-type="uri" xlink:href="https://loop.frontiersin.org/people/395283/overview">Hao Zhang</ext-link>, Chinese Academy of Sciences (CAS), China</p>
</fn>
<fn fn-type="corresp" id="fn001">
<p>*Correspondence: Juhong Liu, <email xlink:href="mailto:liujuhong@imau.edu.cn">liujuhong@imau.edu.cn</email>
</p>
</fn>
</author-notes>
<pub-date pub-type="epub">
<day>18</day>
<month>09</month>
<year>2025</year>
</pub-date>
<pub-date pub-type="collection">
<year>2025</year>
</pub-date>
<volume>16</volume>
<elocation-id>1643655</elocation-id>
<history>
<date date-type="received">
<day>09</day>
<month>06</month>
<year>2025</year>
</date>
<date date-type="accepted">
<day>02</day>
<month>09</month>
<year>2025</year>
</date>
</history>
<permissions>
<copyright-statement>Copyright &#xa9; 2025 Wang, Du, Liu, Zhang and Lv.</copyright-statement>
<copyright-year>2025</copyright-year>
<copyright-holder>Wang, Du, Liu, Zhang and Lv</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>This study investigated the <italic>Stipa breviflora</italic> desert steppe through multi-scale (50m&#xd7;50m, 25m&#xd7;25m, 2.5m&#xd7;2.5m) and grazing intensity (no grazing vs. heavy grazing) comparative analyses, revealing the response mechanisms of plant functional group diversity, interspecific associations, and stability. Key findings include: (1) Heavy grazing significantly reduced functional group diversity and evenness, while the Margalef richness index increased at the 25m&#xd7;25m scale due to patchy invasion of grazing-tolerant species. (2) Interspecific associations exhibited scale-dependent patterns: Large-scale (50m&#xd7;50m) associations were driven by environmental heterogeneity (e.g., resource competition and complementarity), whereas small-scale (2.5m&#xd7;2.5m) interactions were dominated by direct species interactions (mutualism or exclusion). (3) Grazing-induced structural simplification through &#x201c;environmental filtering&#x201d;, heavy grazing reduced functional group quantity, forming simplified symbiotic networks (PC&#x2265;0.6) between perennial grasses and annual/biennial plants, while significantly suppressing woody plants and forbs (Perennial forbs, Shrubs and semi-shrubs). (4) Stability analysis demonstrated higher stability of perennial grasses and forbs in ungrazed areas, though the overall system remained unstable. Annual/biennial plants and shrubs/semi-shrubs generally exhibited low disturbance resistance. The study proposes a multi-scale grassland restoration strategy: optimizing resource allocation at large scales while enhancing key species interactions at small scales. These findings provide theoretical foundations for the ecological restoration of degraded desert steppes and adaptive grazing regimes. Future research should integrate climate change and socioeconomic factors to develop more resilient grassland ecosystem management frameworks.</p>
</abstract>
<kwd-group>
<kwd>desert steppe</kwd>
<kwd>spatial scale</kwd>
<kwd>heavy grazing</kwd>
<kwd>plant functional group</kwd>
<kwd>interspecific associations</kwd>
</kwd-group>
<counts>
<fig-count count="7"/>
<table-count count="6"/>
<equation-count count="14"/>
<ref-count count="102"/>
<page-count count="16"/>
<word-count count="7260"/>
</counts>
<custom-meta-wrap>
<custom-meta>
<meta-name>section-in-acceptance</meta-name>
<meta-value>Plant Symbiotic Interactions</meta-value>
</custom-meta>
</custom-meta-wrap>
</article-meta>
</front>
<body>
<sec id="s1" sec-type="intro">
<label>1</label>
<title>Introduction</title>
<p>The <italic>Stipa breviflora</italic> desert steppe in Inner Mongolia is a vital grassland ecosystem, crucial for livestock production and ecological security (<xref ref-type="bibr" rid="B87">Wang Y. et&#xa0;al., 2023</xref>). Characterized by arid to semi-arid features, it is dominated by Stipa breviflora, with species like <italic>Cleistogenes songorica</italic> and <italic>Artemisia frigida</italic>, forming a unique plant functional group. As an ecologically fragile zone, it is highly sensitive to grazing, with overgrazing causing vegetation degradation and biodiversity loss (<xref ref-type="bibr" rid="B17">Du et&#xa0;al., 2024</xref>).</p>
<p>In desert steppe ecosystems, a &#x201c;functional group&#x201d; refers to a combination of plant species sharing similar ecological functional traits (<xref ref-type="bibr" rid="B95">Zhang et&#xa0;al., 2024</xref>). Vegetation in the <italic>Stipa breviflora</italic> desert steppe can be classified into functional groups based on life forms (e.g., Perennial grasses, Perennial forbs, Annual and biennial plants, Shrubs and semi-shrubs) (<xref ref-type="bibr" rid="B82">Wang et&#xa0;al., 2020</xref>) or ecological guilds (e.g., xerophytes vs. meso-xerophytes).</p>
<p>Grazing intensity has a significant effect on the importance value of <italic>Stipa breviflora</italic> and other species. It was shown that the competitive advantage of <italic>Stipa breviflora</italic> significantly increased under heavy grazing conditions, and the importance value also increased (<xref ref-type="bibr" rid="B42">Li et&#xa0;al., 2022b</xref>; <xref ref-type="bibr" rid="B84">Wang et&#xa0;al., 2025</xref>). Grazing simplifies communities through environmental filtering (<xref ref-type="bibr" rid="B36">Ju et&#xa0;al., 2024</xref>). Plant communities in ungrazed areas exhibited relatively high stability, primarily attributed to their higher species diversity, more complex community structure, and undisturbed resource allocation and interspecific relationships (<xref ref-type="bibr" rid="B17">Du et&#xa0;al., 2024</xref>).</p>
<p>The increase in grazing intensity leads to a significant decline in plant diversity and ecological functions (<xref ref-type="bibr" rid="B85">Wang Z. et&#xa0;al., 2023</xref>; <xref ref-type="bibr" rid="B49">Lv et&#xa0;al., 2020</xref>; <xref ref-type="bibr" rid="B97">Zhang et&#xa0;al., 2021</xref>). The mechanism stems from selective feeding reduces palatable species, lowers litter input, and weakens the soil carbon and nitrogen cycle (<xref ref-type="bibr" rid="B56">Morin et&#xa0;al., 2014</xref>; <xref ref-type="bibr" rid="B15">del R&#xed;o et&#xa0;al., 2017</xref>). Grazing inhibits the stability of dominant species and weakens the compensation effect between functional groups, thereby reducing the ecosystem&#x2019;s resistance (<xref ref-type="bibr" rid="B88">Wang et&#xa0;al., 2020</xref>).</p>
<p>It was also found that there is a complex relationship between grazing intensity and the structural stability of plant communities. The structural stability of plant communities was higher under light grazing conditions and significantly lower under heavy grazing conditions (<xref ref-type="bibr" rid="B48">Lv et&#xa0;al., 2024</xref>).</p>
<p>The importance of plants and their relationship with grazing intensity showed significant differences at different spatial scales. At smaller spatial scales (e.g., 2.5&#xa0;m &#xd7; 2.5&#xa0;m), the dominance of <italic>Stipa breviflora</italic> was more pronounced, whereas at larger spatial scales (e.g., 50&#xa0;m &#xd7; 50&#xa0;m), the dominance of other species, such as saltbush, was more pronounced (<xref ref-type="bibr" rid="B17">Du et&#xa0;al., 2024</xref>). This phenomenon suggests that spatial scale has an important influence on the structure and function of plant communities, especially under different grazing intensities.</p>
<p>However, existing studies have some limitations, most studies focus on a single ecological indicator (such as the density of a certain species) or a single functional group, ignoring the multi-dimensionality and spatial scale dependence of ecosystem responses (<xref ref-type="bibr" rid="B16">Donohue et&#xa0;al., 2013</xref>; <xref ref-type="bibr" rid="B37">Kang et&#xa0;al., 2020</xref>). The mechanism by which grazing affects functional groups is complex and may be interactively regulated by spatial scale, interspecific interactions, and environmental factors, but the mechanism of such cross-scale interactions remains unclear (<xref ref-type="bibr" rid="B35">Joubert et&#xa0;al., 2017</xref>; <xref ref-type="bibr" rid="B19">Fayiah et&#xa0;al., 2019</xref>). This makes the differentiated grazing management strategies based on functional group responses and applicable to different spatial scales lack a solid theoretical foundation (<xref ref-type="bibr" rid="B91">Yang et&#xa0;al., 2021</xref>; <xref ref-type="bibr" rid="B22">Gerhard et&#xa0;al., 2022</xref>).</p>
<p>Therefore, understanding grazing management strategies at different spatial scales is essential to maintain the health of grassland ecosystems. Based on this, this study proposes: Hypothesis 1: Heavy grazing simplifies the composition of functional groups through environmental filtering, but at a moderate scale (25m&#xd7;25m), diversity &#x201c;peaks&#x201d; occur due to plaque dynamics; Hypothesis 2: Large-scale (50m&#xd7;50m) interspecific associations are dominated by resource competition, while small-scale (2.5m&#xd7;2.5m) ones are driven by microhabitat interactions. Hypothesis 3: Perennial herbaceous and hybrid grasses have higher stability in herdless areas, but the system as a whole is still in a non-equilibrium state.</p>
<p>To verify this, this study establishes a multi-scale experimental design across the <italic>Stipa breviflora</italic> desert steppe, incorporating contrasting spatial scales (2.5m&#xd7;2.5m, 25m&#xd7;25m, 50m&#xd7;50m) and grazing intensities (ungrazed vs. heavily grazed) to systematically address the following scientific inquiries:</p>
<list list-type="order">
<list-item>
<p>How does heavy grazing modify diversity attributes of plant functional groups across spatial scales?</p>
</list-item>
<list-item>
<p>Do interspecific association patterns among functional groups exhibit scale dependency under grazing disturbance?</p>
</list-item>
<list-item>
<p>How does the stability of distinct functional groups vary with spatial scale and grazing intensity?</p>
</list-item>
</list>
<p>The research aims to elucidate the synergistic regulatory mechanisms through which grazing and spatial scales jointly govern plant functional group structure, interaction networks, and stability, thereby providing theoretical foundations for multi-scale restoration and adaptive management of degraded grasslands. Concurrently, stability analysis reveals the disturbance resistance capacities of key functional groups and their contributions to ecosystem resilience. The findings not only advance mechanistic understanding of grassland ecosystem degradation but also provide scientific substantiation for optimizing grazing regimes and formulating differentiated restoration strategies.</p>
</sec>
<sec id="s2" sec-type="materials|methods">
<label>2</label>
<title>Materials and methods</title>
<sec id="s2_1">
<label>2.1</label>
<title>Study site description</title>
<p>The study area is located in the Siziwang base of the Comprehensive Experimental Demonstration Center of the Inner Mongolia Academy of Agricultural and Animal Husbandry Sciences (41&#xb0;47&#x2032;17&#x2033;N, 111&#xb0;53&#x2032;46&#x2033;E, elevation 1450&#xa0;m), which belongs to the short-flowered coniferous desert steppe zone, and the climate is a medium-temperate continental type. The average annual precipitation is 280&#xa0;mm, evapotranspiration is 2300&#xa0;mm, the average annual temperature is 3.4&#xb0;C, &#x2265;10&#xb0;C cumulative temperature is 2200~2500&#xb0;C, the frost-free period is 90~120 days, and the soil is dominated by light chestnut-calcium soil, which provides a typical environment for exploring the spatial response of the vegetation to the rate of livestock carrying.</p>
</sec>
<sec id="s2_2">
<label>2.2</label>
<title>Experimental setup</title>
<p>In this study, a grazing control experiment was established in June 2023 in a meadow in northern China, with a total test area of 8.4&#xa0;ha, and two gradient treatments were set up: a no-grazing control (CK) and heavy grazing (HG) (<xref ref-type="fig" rid="f1">
<bold>Figure&#xa0;1</bold>
</xref>) (<xref ref-type="bibr" rid="B96">Zhang et&#xa0;al., 2023</xref>). Among them, the HG treatment unit was configured at a loading rate of 0.45 sheep hectare<sup>-1</sup> month<sup>-1</sup> and 12 healthy adult sheep were placed in each independent sample plot (about 26.7&#xa0;ha). CK1 and HG1 were selected as the core observation plots, and the grazing intervention period covered the complete plant growing season (June-November), with 12 hours (06:00-18:00) of continuous grazing per day. All experimental sheep were uniformly bred as two-year-old de-stemmed rams to ensure the consistency of individual physiological status and feeding behavior.</p>
<fig id="f1" position="float">
<label>Figure&#xa0;1</label>
<caption>
<p>The location of Siziwang Banner in inner Mongolia and experiment plots in Siziwang Banner.</p>
</caption>
<graphic mimetype="image" mime-subtype="tiff" xlink:href="fpls-16-1643655-g001.tif">
<alt-text content-type="machine-generated">Map illustrating Inner Mongolia's Siziwang Banner with various geographical features. A close-up marks different areas, labeled with codes (e.g., Lg1, Hg1). Another inset shows Inner Mongolia with a legend depicting temperate zones, such as meadow steppe and desert. Major towns and boundaries are marked, highlighting the research area's location. An arrow indicates north.</alt-text>
</graphic>
</fig>
<p>The study analyzed the vegetation distribution pattern through nested multi-scale sampling: a 50&#xa0;m &#xd7; 50&#xa0;m main sample plot (vertex as the coordinate origin) was set up in the loading rate experimental area, and 25&#xa0;m &#xd7; 25&#xa0;m (5&#xa0;m &#xd7; 5&#xa0;m grid) and 2.5&#xa0;m &#xd7; 2.5&#xa0;m sample plots were nested sequentially, the latter matching plant coordinates through a virtual grid (0.25&#xa0;m to 0.05&#xa0;m scale), combining field measurements with computer analysis to collect 36 grid vertex data (species, height, biomass). The data integration covered both macro (50 m/25&#xa0;m) and micro (below 2.5&#xa0;m) scales to analyze the variation thresholds of interspecific competition intensity with spatial scales, and to reveal the mechanism of the influence of stocking rate on the spatial pattern of vegetation (<xref ref-type="fig" rid="f2">
<bold>Figure&#xa0;2</bold>
</xref>).</p>
<fig id="f2" position="float">
<label>Figure&#xa0;2</label>
<caption>
<p>The diagram of the spatial scale plot.</p>
</caption>
<graphic mimetype="image" mime-subtype="tiff" xlink:href="fpls-16-1643655-g002.tif">
<alt-text content-type="machine-generated">A large square divided into smaller sections, illustrating proportional areas. The largest square is 50 meters on each side. It contains a smaller square, 25 meters per side, located in the bottom left quadrant. The smallest division, a shaded square with sides measuring 2.5 meters, is positioned bottom-left within the 25-meter square, exemplifying scale differences.</alt-text>
</graphic>
</fig>
<p>The plant community of the <italic>Stipa breviflora</italic> desert grassland is divided into four functional groups based on life type and ecological function, and each functional group maintains the stability of the ecosystem through synergistic effects (<xref ref-type="bibr" rid="B82">Wang et&#xa0;al., 2020</xref>). The perennial grasses are the established functional groups in this grassland, with <italic>Stipa breviflora</italic> as the dominant species. The functional groups of <italic>Stipa breviflora</italic> desert grassland are categorized as follows (<xref ref-type="table" rid="T1">
<bold>Table&#xa0;1</bold>
</xref>).</p>
<table-wrap id="T1" position="float">
<label>Table&#xa0;1</label>
<caption>
<p>Functional group classification.</p>
</caption>
<table frame="hsides">
<thead>
<tr>
<th valign="middle" align="left">Functional groups</th>
<th valign="middle" align="left">Perennial grasses</th>
<th valign="middle" align="left">Perennial forbs</th>
<th valign="middle" align="left">Annual and biennial plants</th>
<th valign="middle" align="left">Shrubs and semi-shrubs</th>
</tr>
</thead>
<tbody>
<tr>
<td valign="middle" rowspan="5" align="left">Species</td>
<td valign="middle" align="left">
<italic>Stipa breviflora</italic>
</td>
<td valign="middle" align="left">
<italic>Convolvulus ammannii</italic>
</td>
<td valign="middle" align="left">
<italic>Teloxys aristata</italic>
</td>
<td valign="middle" align="left">
<italic>Caragana stenophylla</italic>
</td>
</tr>
<tr>
<td valign="middle" align="left">
<italic>Cleistogenes songorica</italic>
</td>
<td valign="middle" align="left">
<italic>Lagochilus ilicifolius</italic>
</td>
<td valign="middle" align="left">
<italic>Salsola collina</italic>
</td>
<td valign="middle" align="left">
<italic>Krascheninnikovia ceratoides</italic>
</td>
</tr>
<tr>
<td valign="middle" align="left">
<italic>Leymus chinensis</italic>
</td>
<td valign="middle" align="left">
<italic>Allium tenuissimum</italic>
</td>
<td valign="middle" align="left">
<italic>Euphorbia humifusa</italic>
</td>
<td valign="middle" align="left">
<italic>Bassia prostrata</italic>
</td>
</tr>
<tr>
<td valign="middle" align="left">
<italic>Cleistogenes squarrosa</italic>
</td>
<td valign="middle" align="left">
<italic>Sibbaldianthe bifurca</italic>
</td>
<td valign="middle" align="left">
<italic>Oxybasis glauca</italic>
</td>
<td valign="middle" align="left">
<italic>Artemisia frigida</italic>
</td>
</tr>
<tr>
<td valign="middle" align="left">
<italic>Stipa sareptana</italic> var. <italic>krylovii</italic>
</td>
<td valign="middle" align="left">
<italic>Asparagus cochinchinensis</italic>
</td>
<td valign="middle" align="left">
<italic>Neopallasia pectinata</italic>
</td>
<td valign="middle" align="left"/>
</tr>
</tbody>
</table>
</table-wrap>
</sec>
<sec id="s2_3">
<label>2.3</label>
<title>Data analysis</title>
<sec id="s2_3_1">
<label>2.3.1</label>
<title>Diversity indices calculation</title>
<p>To assess the structure and diversity of plant functional groups, four widely used indices were calculated:</p>
<sec id="s2_3_1_1">
<label>2.3.1.1</label>
<title>Shannon-Wiener diversity index</title>
<disp-formula>
<mml:math display="block" id="M1">
<mml:mrow>
<mml:msup>
<mml:mi>H</mml:mi>
<mml:mo>&#x2032;</mml:mo>
</mml:msup>
<mml:mo>=</mml:mo>
<mml:mo>&#x2212;</mml:mo>
<mml:munderover>
<mml:mo>&#x2211;</mml:mo>
<mml:mrow>
<mml:mi>i</mml:mi>
<mml:mo>=</mml:mo>
<mml:mn>1</mml:mn>
</mml:mrow>
<mml:mi>S</mml:mi>
</mml:munderover>
<mml:mrow>
<mml:mo stretchy="false">(</mml:mo>
<mml:mrow>
<mml:msub>
<mml:mi>p</mml:mi>
<mml:mi>i</mml:mi>
</mml:msub>
<mml:mi>ln</mml:mi>
<mml:msub>
<mml:mi>p</mml:mi>
<mml:mi>i</mml:mi>
</mml:msub>
</mml:mrow>
<mml:mo stretchy="false">)</mml:mo>
</mml:mrow>
</mml:mrow>
</mml:math>
</disp-formula>
</sec>
<sec id="s2_3_1_2">
<label>2.3.1.2</label>
<title>Simpson dominance index</title>
<disp-formula>
<mml:math display="block" id="M2">
<mml:mrow>
<mml:mi>D</mml:mi>
<mml:mo>=</mml:mo>
<mml:mn>1</mml:mn>
<mml:mo>&#x2212;</mml:mo>
<mml:munderover>
<mml:mo>&#x2211;</mml:mo>
<mml:mrow>
<mml:mi>i</mml:mi>
<mml:mo>=</mml:mo>
<mml:mn>1</mml:mn>
</mml:mrow>
<mml:mi>S</mml:mi>
</mml:munderover>
<mml:msubsup>
<mml:mi>p</mml:mi>
<mml:mi>i</mml:mi>
<mml:mn>2</mml:mn>
</mml:msubsup>
</mml:mrow>
</mml:math>
</disp-formula>
</sec>
<sec id="s2_3_1_3">
<label>2.3.1.3</label>
<title>Margalef richness index</title>
<disp-formula>
<mml:math display="block" id="M3">
<mml:mrow>
<mml:mi>R</mml:mi>
<mml:mo>=</mml:mo>
<mml:mfrac>
<mml:mrow>
<mml:mi>S</mml:mi>
<mml:mo>&#x2212;</mml:mo>
<mml:mn>1</mml:mn>
</mml:mrow>
<mml:mrow>
<mml:mi>ln</mml:mi>
<mml:mi>N</mml:mi>
</mml:mrow>
</mml:mfrac>
</mml:mrow>
</mml:math>
</disp-formula>
</sec>
<sec id="s2_3_1_4">
<label>2.3.1.4</label>
<title>Pielou evenness index</title>
<disp-formula>
<mml:math display="block" id="M4">
<mml:mrow>
<mml:msup>
<mml:mi>J</mml:mi>
<mml:mo>&#x2032;</mml:mo>
</mml:msup>
<mml:mo>=</mml:mo>
<mml:mfrac>
<mml:msup>
<mml:mi>H</mml:mi>
<mml:mo>&#x2032;</mml:mo>
</mml:msup>
<mml:mrow>
<mml:mi>ln</mml:mi>
<mml:mi>S</mml:mi>
</mml:mrow>
</mml:mfrac>
</mml:mrow>
</mml:math>
</disp-formula>
<p>The Shannon-Wiener index <inline-formula>
<mml:math display="inline" id="im1">
<mml:msup>
<mml:mi>H</mml:mi>
<mml:mo>&#x2032;</mml:mo>
</mml:msup>
</mml:math>
</inline-formula> ranges between <inline-formula>
<mml:math display="inline" id="im2">
<mml:mrow>
<mml:mn>0</mml:mn>
<mml:mo>&#x2264;</mml:mo>
<mml:msup>
<mml:mi>H</mml:mi>
<mml:mo>'</mml:mo>
</mml:msup>
<mml:mo>&#x2264;</mml:mo>
<mml:mi>ln</mml:mi>
<mml:mi>S</mml:mi>
</mml:mrow>
</mml:math>
</inline-formula>, where higher values reflect communities with greater species diversity and more balanced resource allocation. The Simpson dominance index <inline-formula>
<mml:math display="inline" id="im3">
<mml:mi>D</mml:mi>
</mml:math>
</inline-formula> quantifies the degree of resource monopolization by dominant species within a community. Its value ranges between <inline-formula>
<mml:math display="inline" id="im4">
<mml:mrow>
<mml:mn>0</mml:mn>
<mml:mo>&#x2264;</mml:mo>
<mml:mi>D</mml:mi>
<mml:mo>&#x2264;</mml:mo>
<mml:mn>1</mml:mn>
</mml:mrow>
</mml:math>
</inline-formula>, where values approaching 1 indicate strong dominance by one or few species. The Margalef richness index R standardizes species richness relative to sampling effort, enabling cross-habitat comparisons. The Pielou evenness index <inline-formula>
<mml:math display="inline" id="im5">
<mml:msup>
<mml:mi>J</mml:mi>
<mml:mo>&#x2032;</mml:mo>
</mml:msup>
</mml:math>
</inline-formula> evaluates the uniformity of species abundance distribution. Its value ranges from <inline-formula>
<mml:math display="inline" id="im6">
<mml:mrow>
<mml:mn>0</mml:mn>
<mml:mo>&#x2264;</mml:mo>
<mml:msup>
<mml:mi>J</mml:mi>
<mml:mo>&#x2032;</mml:mo>
</mml:msup>
<mml:mo>&#x2264;</mml:mo>
<mml:mn>1</mml:mn>
</mml:mrow>
</mml:math>
</inline-formula> where values approaching 1 indicate near-perfect resource homogenization, while lower values suggest skewed distributions favoring dominant species.</p>
</sec>
</sec>
<sec id="s2_3_2">
<label>2.3.2</label>
<title>Interspecific association</title>
<sec id="s2_3_2_1">
<label>2.3.2.1</label>
<title>Overall interspecific association</title>
<p>The calculation formulas are as follows:</p>
<disp-formula>
<mml:math display="block" id="M5">
<mml:mrow>
<mml:mi>V</mml:mi>
<mml:mi>R</mml:mi>
<mml:mo>=</mml:mo>
<mml:mfrac>
<mml:mrow>
<mml:msubsup>
<mml:mi>S</mml:mi>
<mml:mi>T</mml:mi>
<mml:mn>2</mml:mn>
</mml:msubsup>
</mml:mrow>
<mml:mrow>
<mml:msubsup>
<mml:mi>&#x3c3;</mml:mi>
<mml:mi>T</mml:mi>
<mml:mn>2</mml:mn>
</mml:msubsup>
</mml:mrow>
</mml:mfrac>
</mml:mrow>
</mml:math>
</disp-formula>
<disp-formula>
<mml:math display="block" id="M6">
<mml:mrow>
<mml:msubsup>
<mml:mi>S</mml:mi>
<mml:mi>T</mml:mi>
<mml:mn>2</mml:mn>
</mml:msubsup>
<mml:mo>=</mml:mo>
<mml:mfrac>
<mml:mn>1</mml:mn>
<mml:mi>N</mml:mi>
</mml:mfrac>
<mml:munderover>
<mml:mo>&#x2211;</mml:mo>
<mml:mrow>
<mml:mi>j</mml:mi>
<mml:mo>=</mml:mo>
<mml:mn>1</mml:mn>
</mml:mrow>
<mml:mi>N</mml:mi>
</mml:munderover>
<mml:msup>
<mml:mrow>
<mml:mrow>
<mml:mo stretchy="false">(</mml:mo>
<mml:mrow>
<mml:msub>
<mml:mi>s</mml:mi>
<mml:mi>j</mml:mi>
</mml:msub>
<mml:mo>&#x2212;</mml:mo>
<mml:mover accent="true">
<mml:mi>s</mml:mi>
<mml:mo>&#xaf;</mml:mo>
</mml:mover>
</mml:mrow>
<mml:mo stretchy="false">)</mml:mo>
</mml:mrow>
</mml:mrow>
<mml:mn>2</mml:mn>
</mml:msup>
</mml:mrow>
</mml:math>
</disp-formula>
<disp-formula>
<mml:math display="block" id="M7">
<mml:mrow>
<mml:msubsup>
<mml:mi>&#x3c3;</mml:mi>
<mml:mi>T</mml:mi>
<mml:mn>2</mml:mn>
</mml:msubsup>
<mml:mo>=</mml:mo>
<mml:munderover>
<mml:mo>&#x2211;</mml:mo>
<mml:mrow>
<mml:mi>i</mml:mi>
<mml:mo>=</mml:mo>
<mml:mn>1</mml:mn>
</mml:mrow>
<mml:mi>S</mml:mi>
</mml:munderover>
<mml:msub>
<mml:mi>p</mml:mi>
<mml:mi>i</mml:mi>
</mml:msub>
<mml:mrow>
<mml:mo stretchy="false">(</mml:mo>
<mml:mrow>
<mml:mn>1</mml:mn>
<mml:mo>&#x2212;</mml:mo>
<mml:msub>
<mml:mi>p</mml:mi>
<mml:mi>i</mml:mi>
</mml:msub>
</mml:mrow>
<mml:mo stretchy="false">)</mml:mo>
</mml:mrow>
</mml:mrow>
</mml:math>
</disp-formula>
<p>Statistic <inline-formula>
<mml:math display="inline" id="im7">
<mml:mrow>
<mml:mi>W</mml:mi>
<mml:mo>=</mml:mo>
<mml:mi>V</mml:mi>
<mml:mi>R</mml:mi>
<mml:mo>&#xd7;</mml:mo>
<mml:mi>N</mml:mi>
</mml:mrow>
</mml:math>
</inline-formula>, if <inline-formula>
<mml:math display="inline" id="im8">
<mml:mrow>
<mml:mi>W</mml:mi>
<mml:mo>&#x2209;</mml:mo>
<mml:mrow>
<mml:mo stretchy="false">[</mml:mo>
<mml:mrow>
<mml:msubsup>
<mml:mi>&#x3c7;</mml:mi>
<mml:mrow>
<mml:mn>0.05</mml:mn>
</mml:mrow>
<mml:mn>2</mml:mn>
</mml:msubsup>
<mml:mrow>
<mml:mo stretchy="false">(</mml:mo>
<mml:mi>N</mml:mi>
<mml:mo stretchy="false">)</mml:mo>
</mml:mrow>
<mml:mo>,</mml:mo>
<mml:msubsup>
<mml:mi>&#x3c7;</mml:mi>
<mml:mrow>
<mml:mn>0.95</mml:mn>
</mml:mrow>
<mml:mn>2</mml:mn>
</mml:msubsup>
<mml:mrow>
<mml:mo stretchy="false">(</mml:mo>
<mml:mi>N</mml:mi>
<mml:mo stretchy="false">)</mml:mo>
</mml:mrow>
</mml:mrow>
<mml:mo stretchy="false">]</mml:mo>
</mml:mrow>
</mml:mrow>
</mml:math>
</inline-formula>, then the overall association is significant (<xref ref-type="bibr" rid="B17">Du et&#xa0;al., 2024</xref>).</p>
</sec>
<sec id="s2_3_2_2">
<label>2.3.2.2</label>
<title>Chi-square test</title>
<p>The Chi-square test evaluates whether the distributions of two species across quadrats are statistically independent, determining the significance of interspecific associations using 2&#xd7;2 contingency tables. The calculation formulas are as follows:</p>
<disp-formula>
<mml:math display="block" id="M8">
<mml:mrow>
<mml:msup>
<mml:mi>&#x3c7;</mml:mi>
<mml:mn>2</mml:mn>
</mml:msup>
<mml:mo>=</mml:mo>
<mml:mfrac>
<mml:mrow>
<mml:msup>
<mml:mrow>
<mml:mrow>
<mml:mo stretchy="false">(</mml:mo>
<mml:mrow>
<mml:mrow>
<mml:mo>|</mml:mo>
<mml:mrow>
<mml:mi>a</mml:mi>
<mml:mi>d</mml:mi>
<mml:mo>&#x2212;</mml:mo>
<mml:mi>b</mml:mi>
<mml:mi>c</mml:mi>
</mml:mrow>
<mml:mo>|</mml:mo>
</mml:mrow>
<mml:mo>&#x2212;</mml:mo>
<mml:mi>N</mml:mi>
<mml:mo stretchy="false">/</mml:mo>
<mml:mn>2</mml:mn>
</mml:mrow>
<mml:mo stretchy="false">)</mml:mo>
</mml:mrow>
</mml:mrow>
<mml:mn>2</mml:mn>
</mml:msup>
<mml:mi>N</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mrow>
<mml:mo stretchy="false">(</mml:mo>
<mml:mrow>
<mml:mi>a</mml:mi>
<mml:mo>+</mml:mo>
<mml:mi>b</mml:mi>
</mml:mrow>
<mml:mo stretchy="false">)</mml:mo>
</mml:mrow>
<mml:mrow>
<mml:mo stretchy="false">(</mml:mo>
<mml:mrow>
<mml:mi>c</mml:mi>
<mml:mo>+</mml:mo>
<mml:mi>d</mml:mi>
</mml:mrow>
<mml:mo stretchy="false">)</mml:mo>
</mml:mrow>
<mml:mrow>
<mml:mo stretchy="false">(</mml:mo>
<mml:mrow>
<mml:mi>a</mml:mi>
<mml:mo>+</mml:mo>
<mml:mi>c</mml:mi>
</mml:mrow>
<mml:mo stretchy="false">)</mml:mo>
</mml:mrow>
<mml:mrow>
<mml:mo stretchy="false">(</mml:mo>
<mml:mrow>
<mml:mi>b</mml:mi>
<mml:mo>+</mml:mo>
<mml:mi>d</mml:mi>
</mml:mrow>
<mml:mo stretchy="false">)</mml:mo>
</mml:mrow>
</mml:mrow>
</mml:mfrac>
</mml:mrow>
</mml:math>
</disp-formula>
<p>When <inline-formula>
<mml:math display="inline" id="im9">
<mml:mrow>
<mml:msup>
<mml:mi>&#x3c7;</mml:mi>
<mml:mn>2</mml:mn>
</mml:msup>
<mml:mo>&lt;</mml:mo>
<mml:mn>3.841</mml:mn>
</mml:mrow>
</mml:math>
</inline-formula> (<inline-formula>
<mml:math display="inline" id="im10">
<mml:mrow>
<mml:mi>P</mml:mi>
<mml:mo>&gt;</mml:mo>
<mml:mn>0.05</mml:mn>
</mml:mrow>
</mml:math>
</inline-formula>) represents no significant association When <inline-formula>
<mml:math display="inline" id="im11">
<mml:mrow>
<mml:mn>3.841</mml:mn>
<mml:mo>&lt;</mml:mo>
<mml:msup>
<mml:mi>&#x3c7;</mml:mi>
<mml:mn>2</mml:mn>
</mml:msup>
<mml:mo>&lt;</mml:mo>
<mml:mn>6.635</mml:mn>
</mml:mrow>
</mml:math>
</inline-formula> (<inline-formula>
<mml:math display="inline" id="im12">
<mml:mrow>
<mml:mn>0.01</mml:mn>
<mml:mo>&lt;</mml:mo>
<mml:mi>P</mml:mi>
<mml:mo>&lt;</mml:mo>
<mml:mn>0.05</mml:mn>
</mml:mrow>
</mml:math>
</inline-formula>) represents significant association. When <inline-formula>
<mml:math display="inline" id="im13">
<mml:mrow>
<mml:msup>
<mml:mi>&#x3c7;</mml:mi>
<mml:mn>2</mml:mn>
</mml:msup>
<mml:mo>&gt;</mml:mo>
<mml:mn>6.635</mml:mn>
</mml:mrow>
</mml:math>
</inline-formula> (<inline-formula>
<mml:math display="inline" id="im14">
<mml:mrow>
<mml:mi>P</mml:mi>
<mml:mo>&lt;</mml:mo>
<mml:mn>0.01</mml:mn>
</mml:mrow>
</mml:math>
</inline-formula>) represents highly significant association (<xref ref-type="bibr" rid="B17">Du et&#xa0;al., 2024</xref>).</p>
</sec>
<sec id="s2_3_2_3">
<label>2.3.2.3</label>
<title>Association coefficient</title>
<p>AC quantifies the direction and strength of species associations -1 to 1, addressing the limitations of Chi-square in sample size dependency. <inline-formula>
<mml:math display="inline" id="im15">
<mml:mrow>
<mml:mi>A</mml:mi>
<mml:mi>C</mml:mi>
<mml:mo>&#x2192;</mml:mo>
<mml:mn>1</mml:mn>
</mml:mrow>
</mml:math>
</inline-formula> means strong positive association. <inline-formula>
<mml:math display="inline" id="im16">
<mml:mrow>
<mml:mi>A</mml:mi>
<mml:mi>C</mml:mi>
<mml:mo>&#x2192;</mml:mo>
<mml:mo>&#x2212;</mml:mo>
<mml:mn>1</mml:mn>
</mml:mrow>
</mml:math>
</inline-formula> means strong negative association (<xref ref-type="bibr" rid="B17">Du et&#xa0;al., 2024</xref>). Three calculation scenarios based on contingency tables</p>
<disp-formula>
<mml:math display="block" id="M9">
<mml:mrow>
<mml:mi>C</mml:mi>
<mml:mi>a</mml:mi>
<mml:mi>s</mml:mi>
<mml:mi>e</mml:mi>
<mml:mn>1</mml:mn>
<mml:mo>&#xa0;</mml:mo>
<mml:mi>a</mml:mi>
<mml:mi>d</mml:mi>
<mml:mo>&#x2265;</mml:mo>
<mml:mi>b</mml:mi>
<mml:mi>c</mml:mi>
<mml:mo>,</mml:mo>
<mml:mi>A</mml:mi>
<mml:mi>C</mml:mi>
<mml:mo>=</mml:mo>
<mml:mfrac>
<mml:mrow>
<mml:mi>a</mml:mi>
<mml:mi>d</mml:mi>
<mml:mo>&#x2212;</mml:mo>
<mml:mi>b</mml:mi>
<mml:mi>c</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mrow>
<mml:mo stretchy="false">(</mml:mo>
<mml:mrow>
<mml:mi>a</mml:mi>
<mml:mo>+</mml:mo>
<mml:mi>b</mml:mi>
</mml:mrow>
<mml:mo stretchy="false">)</mml:mo>
</mml:mrow>
<mml:mrow>
<mml:mo stretchy="false">(</mml:mo>
<mml:mrow>
<mml:mi>b</mml:mi>
<mml:mo>+</mml:mo>
<mml:mi>d</mml:mi>
</mml:mrow>
<mml:mo stretchy="false">)</mml:mo>
</mml:mrow>
</mml:mrow>
</mml:mfrac>
</mml:mrow>
</mml:math>
</disp-formula>
<disp-formula>
<mml:math display="block" id="M10">
<mml:mrow>
<mml:mi>C</mml:mi>
<mml:mi>a</mml:mi>
<mml:mi>s</mml:mi>
<mml:mi>e</mml:mi>
<mml:mn>2</mml:mn>
<mml:mo>&#xa0;</mml:mo>
<mml:mi>b</mml:mi>
<mml:mi>c</mml:mi>
<mml:mo>&gt;</mml:mo>
<mml:mi>a</mml:mi>
<mml:mi>d</mml:mi>
<mml:mo>&#xa0;</mml:mo>
<mml:mi>a</mml:mi>
<mml:mi>n</mml:mi>
<mml:mi>d</mml:mi>
<mml:mo>&#xa0;</mml:mo>
<mml:mi>d</mml:mi>
<mml:mo>&#x2265;</mml:mo>
<mml:mi>a</mml:mi>
<mml:mo>,</mml:mo>
<mml:mo>&#xa0;</mml:mo>
<mml:mi>A</mml:mi>
<mml:mi>C</mml:mi>
<mml:mo>=</mml:mo>
<mml:mfrac>
<mml:mrow>
<mml:mi>a</mml:mi>
<mml:mi>d</mml:mi>
<mml:mo>&#x2212;</mml:mo>
<mml:mi>b</mml:mi>
<mml:mi>c</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mrow>
<mml:mo stretchy="false">(</mml:mo>
<mml:mrow>
<mml:mi>a</mml:mi>
<mml:mo>+</mml:mo>
<mml:mi>b</mml:mi>
</mml:mrow>
<mml:mo stretchy="false">)</mml:mo>
</mml:mrow>
<mml:mrow>
<mml:mo stretchy="false">(</mml:mo>
<mml:mrow>
<mml:mi>a</mml:mi>
<mml:mo>+</mml:mo>
<mml:mi>c</mml:mi>
</mml:mrow>
<mml:mo stretchy="false">)</mml:mo>
</mml:mrow>
</mml:mrow>
</mml:mfrac>
</mml:mrow>
</mml:math>
</disp-formula>
<disp-formula>
<mml:math display="block" id="M11">
<mml:mrow>
<mml:mi>C</mml:mi>
<mml:mi>a</mml:mi>
<mml:mi>s</mml:mi>
<mml:mi>e</mml:mi>
<mml:mn>3</mml:mn>
<mml:mo>&#xa0;</mml:mo>
<mml:mi>b</mml:mi>
<mml:mi>c</mml:mi>
<mml:mo>&gt;</mml:mo>
<mml:mi>a</mml:mi>
<mml:mi>d</mml:mi>
<mml:mo>&#xa0;</mml:mo>
<mml:mi>a</mml:mi>
<mml:mi>n</mml:mi>
<mml:mi>d</mml:mi>
<mml:mo>&#xa0;</mml:mo>
<mml:mi>d</mml:mi>
<mml:mo>&lt;</mml:mo>
<mml:mi>a</mml:mi>
<mml:mo>,</mml:mo>
<mml:mo>&#xa0;</mml:mo>
<mml:mi>A</mml:mi>
<mml:mi>C</mml:mi>
<mml:mo>=</mml:mo>
<mml:mfrac>
<mml:mrow>
<mml:mi>a</mml:mi>
<mml:mi>d</mml:mi>
<mml:mo>&#x2212;</mml:mo>
<mml:mi>b</mml:mi>
<mml:mi>c</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mrow>
<mml:mo stretchy="false">(</mml:mo>
<mml:mrow>
<mml:mi>b</mml:mi>
<mml:mo>+</mml:mo>
<mml:mi>d</mml:mi>
</mml:mrow>
<mml:mo stretchy="false">)</mml:mo>
</mml:mrow>
<mml:mrow>
<mml:mo stretchy="false">(</mml:mo>
<mml:mrow>
<mml:mi>d</mml:mi>
<mml:mo>+</mml:mo>
<mml:mi>c</mml:mi>
</mml:mrow>
<mml:mo stretchy="false">)</mml:mo>
</mml:mrow>
</mml:mrow>
</mml:mfrac>
</mml:mrow>
</mml:math>
</disp-formula>
</sec>
<sec id="s2_3_2_4">
<label>2.3.2.4</label>
<title>Percentage co-occurrence</title>
<p>PC measures the relative frequency of co-occurrence events, ignoring mutual absence d. Higher <inline-formula>
<mml:math display="inline" id="im17">
<mml:mrow>
<mml:mi>P</mml:mi>
<mml:mi>C</mml:mi>
</mml:mrow>
</mml:math>
</inline-formula> indicates stronger positive associations. The calculation formulas are as follows:</p>
<disp-formula>
<mml:math display="block" id="M12">
<mml:mrow>
<mml:mi>P</mml:mi>
<mml:mi>C</mml:mi>
<mml:mo>=</mml:mo>
<mml:mfrac>
<mml:mi>a</mml:mi>
<mml:mrow>
<mml:mi>a</mml:mi>
<mml:mo>+</mml:mo>
<mml:mi>b</mml:mi>
<mml:mo>+</mml:mo>
<mml:mi>c</mml:mi>
</mml:mrow>
</mml:mfrac>
</mml:mrow>
</mml:math>
</disp-formula>
</sec>
<sec id="s2_3_2_5">
<label>2.3.2.5</label>
<title>Ochiai index</title>
<p>A standardized measure of co-occurrence sensitivity, ranging from 0 to 1. Higher OI indicates stronger associations. The calculation formulas are as follows:</p>
<disp-formula>
<mml:math display="block" id="M13">
<mml:mrow>
<mml:mi>O</mml:mi>
<mml:mi>I</mml:mi>
<mml:mo>=</mml:mo>
<mml:mfrac>
<mml:mi>a</mml:mi>
<mml:mrow>
<mml:msqrt>
<mml:mrow>
<mml:mrow>
<mml:mo stretchy="false">(</mml:mo>
<mml:mrow>
<mml:mi>a</mml:mi>
<mml:mo>+</mml:mo>
<mml:mi>b</mml:mi>
</mml:mrow>
<mml:mo stretchy="false">)</mml:mo>
</mml:mrow>
<mml:mrow>
<mml:mo stretchy="false">(</mml:mo>
<mml:mrow>
<mml:mi>a</mml:mi>
<mml:mo>+</mml:mo>
<mml:mi>c</mml:mi>
</mml:mrow>
<mml:mo stretchy="false">)</mml:mo>
</mml:mrow>
</mml:mrow>
</mml:msqrt>
</mml:mrow>
</mml:mfrac>
</mml:mrow>
</mml:math>
</disp-formula>
</sec>
<sec id="s2_3_2_6">
<label>2.3.2.6</label>
<title>Dice index</title>
<p>Standardizes co-occurrence rate while ignoring mutual absence <inline-formula>
<mml:math display="inline" id="im18">
<mml:mi>d</mml:mi>
</mml:math>
</inline-formula>. Higher <inline-formula>
<mml:math display="inline" id="im19">
<mml:mrow>
<mml:mi>D</mml:mi>
<mml:mi>I</mml:mi>
</mml:mrow>
</mml:math>
</inline-formula> indicates stronger associations. The calculation formulas are as follows:</p>
<disp-formula>
<mml:math display="block" id="M14">
<mml:mrow>
<mml:mi>D</mml:mi>
<mml:mi>I</mml:mi>
<mml:mo>=</mml:mo>
<mml:mfrac>
<mml:mrow>
<mml:mn>2</mml:mn>
<mml:mi>a</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mn>2</mml:mn>
<mml:mi>a</mml:mi>
<mml:mo>+</mml:mo>
<mml:mi>b</mml:mi>
<mml:mo>+</mml:mo>
<mml:mi>c</mml:mi>
</mml:mrow>
</mml:mfrac>
</mml:mrow>
</mml:math>
</disp-formula>
</sec>
</sec>
<sec id="s2_3_3">
<label>2.3.3</label>
<title>Interspecific correlation</title>
<list list-type="order">
<list-item>
<p>Pearson correlation coefficient: Measures linear correlation between species abundances (biomass or density), ranging from -1 to 1.</p>
</list-item>
<list-item>
<p>Spearman&#x2019;s rank correlation coefficient: A non-parametric measure of monotonic relationships between ranked abundance data.</p>
</list-item>
</list>
</sec>
<sec id="s2_3_4">
<label>2.3.4</label>
<title>Stability</title>
<p>The stability of functional groups was assessed using the Godron stability index by analyzing species occurrence frequencies. All plant species within the functional groups were ranked according to their occurrence frequencies. Cumulative inverse percentages and cumulative relative frequencies were subsequently calculated. These paired parameters were plotted to construct a graphical model. The intersection coordinates between the model curve and the reference line y=100&#x2212;x were identified. Stability was quantified based on the proximity of these coordinates to the theoretical equilibrium point (<xref ref-type="bibr" rid="B13">Davison et&#xa0;al., 2020</xref>; <xref ref-type="bibr" rid="B79">Tran et&#xa0;al., 2021</xref>), with closer distances indicating higher functional group stability (<xref ref-type="bibr" rid="B17">Du et&#xa0;al., 2024</xref>).</p>
</sec>
</sec>
<sec id="s2_4">
<label>2.4</label>
<title>Spatial structure analysis</title>
<p>To quantitatively verify the sensitivity of the sampling scale and reveal the spatial pattern changes caused by grazing, we adopted geostatistical semi-variogram analysis. Based on the importance values of plant functional groups and their exact coordinates of each grid vertex within splines, the empirical semi-variation function was calculated.</p>
</sec>
</sec>
<sec id="s3" sec-type="results">
<label>3</label>
<title>Results</title>
<sec id="s3_1">
<label>3.1</label>
<title>Functional group classification and diversity in <italic>Stipa breviflora</italic> desert steppe</title>
<p>Significant differences in functional group diversity indices were observed across grazing treatments. At all spatial scales, heavy grazing exhibited a reduced Shannon-Wiener diversity index (H&#x2019;), Simpson&#x2019;s dominance index (D), and Pielou&#x2019;s evenness index (J&#x2019;) compared to control groups. However, at the 25m&#xd7;25m scale, heavy grazing showed an elevated Margalef richness index relative to controls.</p>
<p>The effects of spatial scale on functional group diversity were non-significant. At the finer 2.5m&#xd7;25m scale, species diversity indices were lower than those at broader scales (50m&#xd7;50m and 25m&#xd7;25m). Nevertheless, minimal divergence occurred between 50m&#xd7;50m and 25m&#xd7;25m scales, indicating relatively weak scale-dependent impacts on diversity within larger spatial extents (<xref ref-type="table" rid="T2">
<bold>Table&#xa0;2</bold>
</xref>).</p>
<table-wrap id="T2" position="float">
<label>Table&#xa0;2</label>
<caption>
<p>Functional group diversity indices at different spatial scales with different grazing levels.</p>
</caption>
<table frame="hsides">
<thead>
<tr>
<th valign="middle" rowspan="2" align="left">Diversity indices</th>
<th valign="middle" colspan="2" align="left">50m&#xd7;50m</th>
<th valign="middle" colspan="2" align="left">25m&#xd7;25m</th>
<th valign="middle" colspan="2" align="left">2.5m&#xd7;2.5m</th>
</tr>
<tr>
<th valign="middle" align="left">No grazing</th>
<th valign="middle" align="left">Heavy grazing</th>
<th valign="middle" align="left">No grazing</th>
<th valign="middle" align="left">Heavy grazing</th>
<th valign="middle" align="left">No Grazing</th>
<th valign="middle" align="left">Heavy grazing</th>
</tr>
</thead>
<tbody>
<tr>
<td valign="middle" align="left">Margalef richness index</td>
<td valign="middle" align="left">1.108</td>
<td valign="middle" align="left">1.028</td>
<td valign="middle" align="left">1.108</td>
<td valign="middle" align="left">1.542</td>
<td valign="middle" align="left">1.251</td>
<td valign="middle" align="left">1.116</td>
</tr>
<tr>
<td valign="middle" align="left">Shannon-Wiener diversity index</td>
<td valign="middle" align="left">0.599</td>
<td valign="middle" align="left">0.436</td>
<td valign="middle" align="left">0.599</td>
<td valign="middle" align="left">0.587</td>
<td valign="middle" align="left">0.583</td>
<td valign="middle" align="left">0.439</td>
</tr>
<tr>
<td valign="middle" align="left">Simpson dominance index</td>
<td valign="middle" align="left">0.747</td>
<td valign="middle" align="left">0.612</td>
<td valign="middle" align="left">0.747</td>
<td valign="middle" align="left">0.735</td>
<td valign="middle" align="left">0.727</td>
<td valign="middle" align="left">0.611</td>
</tr>
<tr>
<td valign="middle" align="left">Pielou evenness index</td>
<td valign="middle" align="left">0.432</td>
<td valign="middle" align="left">0.397</td>
<td valign="middle" align="left">0.432</td>
<td valign="middle" align="left">0.423</td>
<td valign="middle" align="left">0.420</td>
<td valign="middle" align="left">0.400</td>
</tr>
</tbody>
</table>
</table-wrap>
</sec>
<sec id="s3_2">
<label>3.2</label>
<title>Importance values</title>
<p>At different spatial scales, perennial grasses had the highest importance values when there was no grazing, and under heavy grazing conditions, perennial grasses continued to have higher importance values, but the importance values of Annual and biennial plants increased significantly, and those of perennial forbs and shrubs and semi-scrubs decreased significantly (<xref ref-type="table" rid="T3">
<bold>Table&#xa0;3</bold>
</xref>).</p>
<table-wrap id="T3" position="float">
<label>Table&#xa0;3</label>
<caption>
<p>Importance values of functional groups at different spatial scales and different grazing intensities.</p>
</caption>
<table frame="hsides">
<thead>
<tr>
<th valign="middle" align="left">Functional groups</th>
<th valign="middle" colspan="2" align="left">50m&#xd7;50m</th>
<th valign="middle" colspan="2" align="left">25m&#xd7;25m</th>
<th valign="middle" colspan="2" align="left">2.5m&#xd7;2.5m</th>
</tr>
<tr>
<th valign="middle" align="left">Importance values</th>
<th valign="middle" align="left">No grazing</th>
<th valign="middle" align="left">Heavy grazing</th>
<th valign="middle" align="left">No grazing</th>
<th valign="middle" align="left">Heavy grazing</th>
<th valign="middle" align="left">No grazing</th>
<th valign="middle" align="left">Heavy grazing</th>
</tr>
</thead>
<tbody>
<tr>
<td valign="middle" align="left">Perennial grasses</td>
<td valign="middle" align="left">0.56</td>
<td valign="middle" align="left">0.54</td>
<td valign="middle" align="left">0.45</td>
<td valign="middle" align="left">0.57</td>
<td valign="middle" align="left">0.62</td>
<td valign="middle" align="left">0.63</td>
</tr>
<tr>
<td valign="middle" align="left">Perennial forbs</td>
<td valign="middle" align="left">0.20</td>
<td valign="middle" align="left">0.04</td>
<td valign="middle" align="left">0.25</td>
<td valign="middle" align="left">0.04</td>
<td valign="middle" align="left">0.17</td>
<td valign="middle" align="left">0.01</td>
</tr>
<tr>
<td valign="middle" align="left">Annual and biennial plants</td>
<td valign="middle" align="left">0.06</td>
<td valign="middle" align="left">0.42</td>
<td valign="middle" align="left">0.08</td>
<td valign="middle" align="left">0.39</td>
<td valign="middle" align="left">0.02</td>
<td valign="middle" align="left">0.37</td>
</tr>
<tr>
<td valign="middle" align="left">Shrubs and semi-shrubs</td>
<td valign="middle" align="left">0.17</td>
<td valign="middle" align="left">0.00</td>
<td valign="middle" align="left">0.22</td>
<td valign="middle" align="left">0.00</td>
<td valign="middle" align="left">0.18</td>
<td valign="middle" align="left">0.00</td>
</tr>
</tbody>
</table>
</table-wrap>
</sec>
<sec id="s3_3">
<label>3.3</label>
<title>Overall interspecific association</title>
<p>The Across spatial scales, the overall interspecific association (variance ratio, VR) in heavily grazed areas consistently exceeded that in ungrazed areas (<xref ref-type="table" rid="T4">
<bold>Table&#xa0;4</bold>
</xref>).</p>
<table-wrap id="T4" position="float">
<label>Table&#xa0;4</label>
<caption>
<p>The overall association of desert grasslands at different spatial scales and different grazing intensities.</p>
</caption>
<table frame="hsides">
<thead>
<tr>
<th valign="middle" align="left">Spatial scale</th>
<th valign="middle" align="left">Habitat type</th>
<th valign="middle" align="left">Variance ratio</th>
<th valign="middle" align="left">Statistic W</th>
<th valign="middle" align="left">(Chi0.95, Chi0.05)</th>
<th valign="middle" align="left">Association</th>
</tr>
</thead>
<tbody>
<tr>
<td valign="middle" rowspan="2" align="left">50m&#xd7;50m</td>
<td valign="middle" align="left">No Grazing</td>
<td valign="middle" align="left">0.76</td>
<td valign="middle" align="left">27.36</td>
<td valign="middle" align="left">(23.27, 51.00)</td>
<td valign="middle" align="left">Negative correlation, not significant</td>
</tr>
<tr>
<td valign="middle" align="left">Heavy Grazing</td>
<td valign="middle" align="left">1</td>
<td valign="middle" align="left">36</td>
<td valign="middle" align="left">(23.27, 51.00)</td>
<td valign="middle" align="left">No correlation, not significant</td>
</tr>
<tr>
<td valign="middle" rowspan="2" align="left">25m&#xd7;25m</td>
<td valign="middle" align="left">No Grazing</td>
<td valign="middle" align="left">1.32</td>
<td valign="middle" align="left">38.04</td>
<td valign="middle" align="left">(23.27, 51.00)</td>
<td valign="middle" align="left">Positive correlation, not significant</td>
</tr>
<tr>
<td valign="middle" align="left">Heavy Grazing</td>
<td valign="middle" align="left">1.11</td>
<td valign="middle" align="left">39.82</td>
<td valign="middle" align="left">(23.27, 51.00)</td>
<td valign="middle" align="left">Positive correlation, not significant</td>
</tr>
<tr>
<td valign="middle" rowspan="2" align="left">2.5m&#xd7;2.5m</td>
<td valign="middle" align="left">No Grazing</td>
<td valign="middle" align="left">0.92</td>
<td valign="middle" align="left">23.09</td>
<td valign="middle" align="left">(14.61, 37.65)</td>
<td valign="middle" align="left">Negative correlation, not significant</td>
</tr>
<tr>
<td valign="middle" align="left">Heavy Grazing</td>
<td valign="middle" align="left">1</td>
<td valign="middle" align="left">25</td>
<td valign="middle" align="left">(14.61, 37.65)</td>
<td valign="middle" align="left">No correlation, not significant</td>
</tr>
</tbody>
</table>
</table-wrap>
<p>At a scale of 50m&#xd7;50m, under non-grazing conditions, there was an overall insignificant negative correlation among functional groups (VR&lt; 1), while under heavy grazing, there was no correlation (VR&#xa0;=&#xa0;1), and it was also insignificant. This indicates that on a larger scale, there is interspecific competition for environmental resources among functional groups in ungrazed areas, and grazing may alleviate this competitive relationship to a certain extent. At the 25m&#xd7;25m scale, the functional groups under both grazing treatments showed an insignificant positive correlation (VR &gt; 1), and the VR value under heavy grazing was higher than that under non-grazing conditions. At a fine scale of 2.5m&#xd7;2.5m, ungrazing still showed an insignificant negative correlation (VR&lt; 1); However, heavy grazing triggered a significant positive association (VR &gt; 1, P&lt; 0.05). This result indicates that on a smaller spatial scale, grazing may have promoted facilitating interactions among functional groups or significantly altered the original competitive landscape.</p>
</sec>
<sec id="s3_4">
<label>3.4</label>
<title>Interspecific association</title>
<sec id="s3_4_1">
<label>3.4.1</label>
<title>Chi-square test (<inline-formula>
<mml:math display="inline" id="im20">
<mml:mrow>
<mml:msup>
<mml:mstyle>
<mml:mi>&#x3c7;</mml:mi>
</mml:mstyle>
<mml:mn>2</mml:mn>
</mml:msup>
</mml:mrow>
</mml:math>
</inline-formula> Test)</title>
<p>At the 50m&#xd7;50m spatial scale (<xref ref-type="fig" rid="f3">
<bold>Figure&#xa0;3</bold>
</xref>), functional groups in the ungrazed area exhibited no significant associations, whereas, in the heavily grazed area, highly significant associations were observed among functional groups. Specifically, annual/biennial plants showed a positive association with perennial grasses, but negative associations with perennial forbs. Additionally, a negative association existed between perennial grasses and perennial forbs.</p>
<fig id="f3" position="float">
<label>Figure&#xa0;3</label>
<caption>
<p>Chi-square (&#x3c7;&#xb2;) tests at different scales under different grazing intensities.</p>
</caption>
<graphic mimetype="image" mime-subtype="tiff" xlink:href="fpls-16-1643655-g003.tif">
<alt-text content-type="machine-generated">Matrix of dots showing effects of different grazing practices on plant types. Columns represent plot sizes and grazing conditions. Rows indicate plant types: perennial grasses, perennial forbs, annual and biennial plants, and shrubs. Black dots indicate independence, yellow dots indicate high significance. Significant level dots are not shown, legend colors clarify data significance thresholds.</alt-text>
</graphic>
</fig>
<p>At the 25m&#xd7;25m spatial scale (<xref ref-type="fig" rid="f3">
<bold>Figure&#xa0;3</bold>
</xref>), no significant associations were detected among functional groups in the ungrazed area. In contrast, under heavy grazing, highly significant associations were identified among most functional groups, except between perennial forbs and shrub/semi-shrub groups, which showed no association. Perennial grasses displayed a positive association with annual/biennial plants, while all other functional group pairs exhibited negative associations.</p>
<p>At the 2.5m&#xd7;2.5m spatial scale (<xref ref-type="fig" rid="f3">
<bold>Figure&#xa0;3</bold>
</xref>), the ungrazed area demonstrated highly significant positive associations between perennial grasses and both perennial forbs and shrub/semi-shrub groups, alongside a highly significant negative association (P&lt; 0.001) between perennial grasses and annual/biennial plants. Associations among other functional groups were non-significant. In the heavily grazed area, all functional groups showed highly significant associations. A positive association was observed between perennial grasses and annual/biennial plants, while negative associations occurred between perennial grasses and perennial forbs, as well as between annual/biennial plants and perennial forbs.</p>
</sec>
<sec id="s3_4_2">
<label>3.4.2</label>
<title>Association coefficient</title>
<p>At the 50m&#xd7;50m spatial scale (<xref ref-type="fig" rid="f4">
<bold>Figure&#xa0;4</bold>
</xref>), distinct negative associations were observed between perennial grasses and both perennial forbs and shrub/semi-shrub groups in the ungrazed area, while a weak positive association existed between perennial forbs and shrub/semi-shrub groups. Annual/biennial plants exhibited weak negative associations with all other functional groups. In the heavily grazed area, annual/biennial plants displayed a weak positive association with perennial grasses, whereas weak negative correlations were observed between perennial forbs and annual/biennial plants, as well as between perennial forbs and perennial grasses.</p>
<fig id="f4" position="float">
<label>Figure&#xa0;4</label>
<caption>
<p>Association coefficient (AC) values at the 2.5m&#xd7;2.5m scale under different grazing intensities.</p>
</caption>
<graphic mimetype="image" mime-subtype="tiff" xlink:href="fpls-16-1643655-g004.tif">
<alt-text content-type="machine-generated">Bar charts compare the effects of heavy grazing and no grazing on four vegetation types: perennial grasses, perennial forbs, annual and biennial plants, and shrubs and semi-shrubs. The data are split into three subgroups labeled 2.5x2.5, 25x25, and 50x50. Values range from -1.0 to 1.0, with a gradient from blue (negative) to red (positive). Heavy grazing shows varying impacts, with notable negative impacts on shrubs in certain subgroups. No grazing demonstrates more negative impacts across all vegetation types, particularly on shrubs.</alt-text>
</graphic>
</fig>
<p>At the 25m&#xd7;25m spatial scale (<xref ref-type="fig" rid="f4">
<bold>Figure&#xa0;4</bold>
</xref>), the ungrazed area demonstrated a significant negative association between shrub/semi-shrub groups and perennial grasses, along with a weak negative association between shrub/semi-shrub groups and annual/biennial plants. Weak positive associations were observed between annual/biennial plants and both perennial grasses and perennial forbs. In the heavily grazed area, perennial forbs showed a significant positive association with shrub/semi-shrub groups, while a weak positive association occurred between perennial grasses and annual/biennial plants. All other functional group pairs exhibited negative associations.</p>
<p>At the 2.5m&#xd7;2.5m spatial scale under ungrazed conditions (<xref ref-type="fig" rid="f4">
<bold>Figure&#xa0;4</bold>
</xref>), perennial grasses exhibited positive associations with perennial forbs and shrub/semi-shrub groups but a negative association with annual/biennial plants. Perennial forbs displayed distinct negative associations with shrub/semi-shrub groups and pronounced positive associations with annual/biennial plants. In the heavily grazed area, reduced functional group diversity was observed: perennial forbs showed negative associations with both perennial grasses and annual/biennial plants, while annual/biennial plants maintained a positive association with perennial grasses.</p>
</sec>
<sec id="s3_4_3">
<label>3.4.3</label>
<title>Percentage co-occurrence</title>
<p>At the 50m&#xd7;50m spatial scale (<xref ref-type="fig" rid="f5">
<bold>Figure&#xa0;5</bold>
</xref>), PC values between perennial forbs and both perennial grasses and shrub/semi-shrub groups in the ungrazed area fell within the range [0.6, 1], while PC values among other functional group pairs ranged between [0.3, 0.6). In the heavily grazed area, PC values between perennial grasses and annual/biennial plants were within [0.6, 1], with all other functional group pairs exhibiting PC values in the [0.3, 0.6) range.</p>
<fig id="f5" position="float">
<label>Figure&#xa0;5</label>
<caption>
<p>Ochiai index (OI) values and percentage co-occurrence (PC) at different scales under different grazing intensities.</p>
</caption>
<graphic mimetype="image" mime-subtype="tiff" xlink:href="fpls-16-1643655-g005.tif">
<alt-text content-type="machine-generated">Graphical representations of percentage co-occurrence and OI index for functional groups under different grazing conditions at various plot sizes (50m x 50m, 25m x 25m, and 2.5m x 2.5m). Each chart contrasts &#x201c;No grazing&#x201d; and &#x201c;Heavy grazing&#x201d; effects, using different colors to denote functional groups: perennial grasses, perennial forbs, annual and biennial plants, and shrubs and semi-shrubs. Co-occurrence charts use a color gradient legend from red to blue, and OI index charts use hues from green to purple.</alt-text>
</graphic>
</fig>
<p>At the 25m&#xd7;25m spatial scale under ungrazed conditions (<xref ref-type="fig" rid="f5">
<bold>Figure&#xa0;5</bold>
</xref>), two functional group pairs&#x2014;perennial forbs with perennial grasses and perennial forbs with annual/biennial plants&#x2014;showed PC values within [0.6, 1], whereas PC values for other pairs ranged between [0.3, 0.6). In the heavily grazed area, only the annual/biennial plant-perennial grass pair exhibited PC values in [0.6, 1]. PC values between shrub/semi-shrub groups and both perennial grasses and annual/biennial plants fell below 0.3 ([0, 0.3)), with remaining functional group pairs ranging between [0.3, 0.6).</p>
<p>At the 2.5m&#xd7;2.5m spatial scale in the ungrazed area (<xref ref-type="fig" rid="f5">
<bold>Figure&#xa0;5</bold>
</xref>), PC values for perennial grass-perennial forb and perennial grass-shrub/semi-shrub pairs were within [0.6, 1], while annual/biennial plants displayed PC values below 0.3 ([0, 0.3)) when paired with other functional groups. In the heavily grazed area, reduced functional group diversity was observed: only the perennial grass-annual/biennial plant pair maintained PC values in [0.6, 1], with all other pairs exhibiting PC values below 0.3 ([0, 0.3)).</p>
</sec>
<sec id="s3_4_4">
<label>3.4.4</label>
<title>Ochiai index and dice index</title>
<p>At the 50m&#xd7;50m spatial scale (<xref ref-type="fig" rid="f5">
<bold>Figure&#xa0;5</bold>
</xref>), OI values in the ungrazed area were distributed across the intervals [0.6,1] and [0.3,0.6), whereas in the heavily grazed area, values clustered within [0.6,1], though with reduced functional group diversity compared to ungrazed conditions.</p>
<p>At the 25m&#xd7;25m spatial scale under ungrazed conditions (<xref ref-type="fig" rid="f5">
<bold>Figure&#xa0;5</bold>
</xref>), only the shrub/semi-shrub&#x2013;annual/biennial plant pair exhibited OI values within [0.3,0.6), while all other functional group pairs showed tightly clustered OI values in [0.6,1]. In contrast, heavily grazed conditions resulted in OI values between annual/biennial plants and other functional groups uniformly declining to the [0.3,0.6) range, indicating weakened associations.</p>
<p>At the 2.5m&#xd7;2.5m spatial scale (<xref ref-type="fig" rid="f5">
<bold>Figure&#xa0;5</bold>
</xref>), the heavily grazed area displayed fewer functional groups than the ungrazed area, accompanied by significantly lower OI values. DI values exhibited congruent patterns with OI values across all scales and treatments.</p>
</sec>
</sec>
<sec id="s3_5">
<label>3.5</label>
<title>Interspecific correlation (Pearson correlation coefficient, Spearman&#x2019;s rank correlation coefficient)</title>
<p>At the 50m&#xd7;50m spatial scale (<xref ref-type="fig" rid="f6">
<bold>Figure&#xa0;6</bold>
</xref>), Pearson correlation coefficients revealed positive correlations between shrub/semi-shrub groups and perennial forbs, as well as between shrub/semi-shrub groups and annual/biennial plants in the ungrazed area, whereas negative correlations were observed among -all other functional group pairs. In the heavily grazed area, positive correlations occurred between annual/biennial plants and perennial forbs, with negative correlations prevailing among all remaining functional groups.</p>
<fig id="f6" position="float">
<label>Figure&#xa0;6</label>
<caption>
<p>Interspecific correlation (Pearson correlation coefficient, Spearman&#x2019;s rank correlation coefficient) values at different scales under different grazing intensities.</p>
</caption>
<graphic mimetype="image" mime-subtype="tiff" xlink:href="fpls-16-1643655-g006.tif">
<alt-text content-type="machine-generated">Circular heatmap depicting correlations in plant functional groups across different grazing conditions. The groups are C1: perennial grasses, C2: perennial forbs, C3: annual and biennial plants, C4: shrubs and semi-shrubs. The color scale ranges from blue to red, indicating correlation values from negative to positive. Labels include various Pearson and Spearman measures at different distances, arranged around the circular format.</alt-text>
</graphic>
</fig>
<p>At the 25m&#xd7;25m spatial scale (<xref ref-type="fig" rid="f6">
<bold>Figure&#xa0;6</bold>
</xref>), Pearson correlation coefficients indicated positive correlations between annual/biennial plants and both perennial forbs and shrub/semi-shrub groups in the ungrazed area, while negative correlations characterized other functional group pairs. In the heavily grazed area, only shrub/semi-shrub groups and perennial forbs exhibited a positive correlation. Spearman&#x2019;s rank correlation coefficients yielded congruent results with Pearson coefficients across all analyses.</p>
<p>At the 2.5&#xa0;m &#xd7; 2.5&#xa0;m spatial scale (<xref ref-type="fig" rid="f6">
<bold>Figure&#xa0;6</bold>
</xref>), Pearson and Spearman correlation coefficients show that only perennial forbs and annual and biennial plants are positively correlated in both ungrazed and heavily grazed areas. In contrast, the remaining functional groups are negatively correlated.</p>
</sec>
<sec id="s3_6">
<label>3.6</label>
<title>Stability analysis of functional groups</title>
<p>Stability analysis of functional groups using M. Godron&#x2019;s stability method revealed differential stability patterns across spatial scales and grazing treatments. The importance values show that perennial grasses and perennial forbs are the dominant functional groups, and the number of species of perennial grasses and perennial forbs is high in the experimental area. In contrast, Annual and biennial plants, shrubs, and semi-shrubs show functional group deficiency at smaller spatial scales and under heavy grazing conditions, so their stability is not investigated. Perennial grasses exhibited higher stability in ungrazed areas compared to heavily grazed areas at all spatial scales, though remaining in an unstable state (<xref ref-type="table" rid="T5">
<bold>Table&#xa0;5</bold>
</xref>). Perennial forbs demonstrated greater stability at larger spatial scales (50m&#xd7;50m), with higher stability in ungrazed areas than in grazed conditions (<xref ref-type="table" rid="T6">
<bold>Table&#xa0;6</bold>
</xref>). The maximum stability for perennial forbs occurred in ungrazed 50m&#xd7;50m plots, evidenced by an intersection point at (19.97, 80.03), closest to the theoretical stable equilibrium (<xref ref-type="bibr" rid="B13">Davison et&#xa0;al., 2020</xref>; <xref ref-type="bibr" rid="B79">Tran et&#xa0;al., 2021</xref>). Annual/biennial plants and shrub/semi-shrub groups consistently remained unstable across all spatial scales and grazing treatments. According to the Godron stability method, the functional groups under all treatments did not reach the theoretical stable state (Euclidean distance &gt; 0). However, perennial forbs show a tendency to be closer to the theoretical equilibrium point in no-grazing areas than in heavily grazing areas, and their Euclidean distance (50m&#xd7;50m scale: 17.9) is significantly smaller than the corresponding value under heavily grazing conditions (50m&#xd7;50m scale: 37.8). This indicates that although the system as a whole is unstable, the absence of grazing interference enhances the relative stability of this functional group.</p>
<table-wrap id="T5" position="float">
<label>Table&#xa0;5</label>
<caption>
<p>Stability analysis of Perennial grasses at different spatial scales and grazing intensities (M.Godron method).</p>
</caption>
<table frame="hsides">
<thead>
<tr>
<th valign="middle" align="left">Spatial scale</th>
<th valign="middle" align="left">Habitat type</th>
<th valign="middle" align="left">Fitting equation</th>
<th valign="middle" align="left">Determination coefficient</th>
<th valign="middle" align="left">Intersection coordinate</th>
<th valign="middle" align="left">Euclidean distance</th>
</tr>
</thead>
<tbody>
<tr>
<td valign="middle" align="left">50m&#xd7;50m</td>
<td valign="middle" align="left">no grazing</td>
<td valign="middle" align="left">y = -0.0088x<sup>2</sup> + 1.6610x + 22.4903</td>
<td valign="middle" align="left">R&#xb2; = 0.9944</td>
<td valign="middle" align="left">(32.66, 67.34)</td>
<td valign="middle" align="left">17.90</td>
</tr>
<tr>
<td valign="middle" align="left"/>
<td valign="middle" align="left">heavy grazing</td>
<td valign="middle" align="left">y = -0.0026x<sup>2</sup> + 1.2606x + 0.0000</td>
<td valign="middle" align="left">R&#xb2; = 1.0000</td>
<td valign="middle" align="left">(46.76, 53.24)</td>
<td valign="middle" align="left">37.84</td>
</tr>
<tr>
<td valign="middle" align="left">25m&#xd7;25m</td>
<td valign="middle" align="left">no grazing</td>
<td valign="middle" align="left">y = -0.0041x<sup>2</sup> + 1.4094x + 0.0000</td>
<td valign="middle" align="left">R&#xb2; = 1.0000</td>
<td valign="middle" align="left">(44.93, 55.07)</td>
<td valign="middle" align="left">35.26</td>
</tr>
<tr>
<td valign="middle" align="left"/>
<td valign="middle" align="left">heavy grazing</td>
<td valign="middle" align="left">y = -0.0137x<sup>2</sup> + 2.3671x + 0.0000</td>
<td valign="middle" align="left">R&#xb2; = 1.0000</td>
<td valign="middle" align="left">(34.54, 65.46)</td>
<td valign="middle" align="left">20.57</td>
</tr>
<tr>
<td valign="middle" align="left">2.5m&#xd7;2.5m</td>
<td valign="middle" align="left">no grazing</td>
<td valign="middle" align="left">y = -0.0138x<sup>2</sup> + 2.2707x + 9.5426</td>
<td valign="middle" align="left">R&#xb2; = 0.9863</td>
<td valign="middle" align="left">(31.95, 68.05)</td>
<td valign="middle" align="left">16.90</td>
</tr>
<tr>
<td valign="middle" align="left"/>
<td valign="middle" align="left">heavy grazing</td>
<td valign="middle" align="left">y = -0.0215x<sup>2</sup> + 3.5945x + 44.2877</td>
<td valign="middle" align="left">R&#xb2; = 1.0000</td>
<td valign="middle" align="left">(38.26, 61.74)</td>
<td valign="middle" align="left">25.82</td>
</tr>
</tbody>
</table>
</table-wrap>
<table-wrap id="T6" position="float">
<label>Table&#xa0;6</label>
<caption>
<p>Stability analysis of perennial forbs at different spatial scales and grazing intensities (M.Godron method).</p>
</caption>
<table frame="hsides">
<thead>
<tr>
<th valign="middle" align="left">Spatial scale</th>
<th valign="middle" align="left">Habitat type</th>
<th valign="middle" align="left">Fitting equation</th>
<th valign="middle" align="left">Determination coefficient</th>
<th valign="middle" align="left">Intersection coordinate</th>
<th valign="middle" align="left">Euclidean distance</th>
</tr>
</thead>
<tbody>
<tr>
<td valign="middle" align="left">50m&#xd7;50m</td>
<td valign="middle" align="left">no grazing</td>
<td valign="middle" align="left">y = -0.0011x<sup>2</sup> + 0.3851x + 72.7907</td>
<td valign="middle" align="left">R&#xb2; = 0.9980</td>
<td valign="middle" align="left">(19.97, 80.03)</td>
<td valign="middle" align="left">0.05</td>
</tr>
<tr>
<td valign="middle" align="left">25m&#xd7;25m</td>
<td valign="middle" align="left">no grazing</td>
<td valign="middle" align="left">y = -0.0020x<sup>2</sup> + 0.4855x + 71.8627</td>
<td valign="middle" align="left">R&#xb2; = 1.0000</td>
<td valign="middle" align="left">(19.46, 80.54)</td>
<td valign="middle" align="left">0.76</td>
</tr>
<tr>
<td valign="middle" align="left"/>
<td valign="middle" align="left">heavy grazing</td>
<td valign="middle" align="left">y = -0.0176x<sup>2</sup> + 2.7647x + 0.0000</td>
<td valign="middle" align="left">R&#xb2; = 1.0000</td>
<td valign="middle" align="left">(31.09, 68.91)</td>
<td valign="middle" align="left">15.69</td>
</tr>
<tr>
<td valign="middle" align="left">2.5m&#xd7;2.5m</td>
<td valign="middle" align="left">no grazing</td>
<td valign="middle" align="left">y = -0.0041x<sup>2</sup> + 0.7797x + 62.2881</td>
<td valign="middle" align="left">R&#xb2; = 0.9861</td>
<td valign="middle" align="left">(61.80, 38.20)</td>
<td valign="middle" align="left">3.30</td>
</tr>
</tbody>
</table>
</table-wrap>
</sec>
<sec id="s3_7">
<label>3.7</label>
<title>Semi-variogram</title>
  <p>In the absence of grazing, the semivariance of perennial grasses increases significantly with distance, indicating increasing spatial heterogeneity. Under heavy grazing, the semivariance remains low and flat, suggesting that grazing pressure destroys patch structure, leading to either uniform distribution or fragmentation, and suppressing spatial heterogeneity (<xref ref-type="bibr" rid="B9">Bisigato et&#xa0;al., 2005</xref>). For perennial forbs, in ungrazed areas of 25m, the semivariance reaches a peak at medium to short distances before declining, implying the presence of local patches at small scales; in 50m ungrazed areas, the semivariance increases slowly, reflecting weak spatial autocorrelation at large scales; under heavy grazing, the extremely low semivariance indicates that grazing pressure eliminates local heterogeneity, resulting in a random distribution (<xref ref-type="bibr" rid="B9">Bisigato et&#xa0;al., 2005</xref>) (<xref ref-type="fig" rid="f7"><bold>Figure 7</bold></xref>). For annual and biennial plants, under heavy grazing, the semivariance increases significantly at medium distances, reflecting how grazing pressure creates microhabitats that promote the establishment of annual plants and the formation of medium-scale patches. The fluctuating and disorderly curves in ungrazed areas indicate weak spatial autocorrelation (<xref ref-type="fig" rid="f7"><bold>Figure 7</bold></xref>). For shrubs and semi-shrubs, in 50m ungrazed areas, the semivariance continues to increase with distance, demonstrating strong spatial autocorrelation at large scales; in 25m ungrazed areas, the semivariance increases at short distances before declining, suggesting more concentrated shrub patches at small scales; under heavy grazing, the extremely low semivariance shows that grazing pressure suppresses shrub growth and destroys their spatial heterogeneity (<xref ref-type="bibr" rid="B38">Komac et&#xa0;al., 2011</xref>) (<xref ref-type="fig" rid="f7"><bold>Figure 7</bold></xref>).</p>
<fig id="f7" position="float">
<label>Figure&#xa0;7</label>
<caption>
<p>Semivariogram of functional groups under different grazing conditions and spatial scales.</p>
</caption>
<graphic mimetype="image" mime-subtype="tiff" xlink:href="fpls-16-1643655-g007.tif">
<alt-text content-type="machine-generated">Graphical representation of semivariograms for four functional plant groups: perennial grasses, perennial forbs, annual and biennial plants, and shrubs and semi-shrubs. Each graph shows semivariance against distance in meters under various grazing conditions: 50-meter no grazing, 50-meter heavy grazing, 25-meter no grazing, 25-meter heavy grazing, 2.5-meter no grazing, and 2.5-meter heavy grazing, indicated by different colored and shaped markers. The semivariance patterns differ across plant groups and grazing conditions.</alt-text>
</graphic>
</fig>
</sec>
</sec>
<sec id="s4" sec-type="discussion">
<label>4</label>
<title>Discussion</title>
<sec id="s4_1">
<label>4.1</label>
<title>Analysis of functional group diversity across spatial scales and grazing intensities</title>
<p>Grazing intensity significantly alters plant functional group diversity in <italic>Stipa breviflora</italic> desert steppe, exhibiting pronounced spatial scale dependency. Overall, heavy grazing markedly reduces diversity indices (e.g., Shannon-Wiener, Simpson, Pielou) due to decreased species evenness and simplified functional group structure (<xref ref-type="bibr" rid="B79">Tran et&#xa0;al., 2021</xref>). This simplification manifests as overconsumption of dominant species (e.g., <italic>Stipa breviflora</italic>) causing community homogenization, while grazing-tolerant species (e.g., <italic>a</italic>nnual weeds) rapidly colonize released niches to establish dominance (<xref ref-type="bibr" rid="B68">Sachura et&#xa0;al., 2024</xref>). Consequently, high-nutritional-value grass functional groups decline, whereas disturbance-resistant, high-fiber plants increase. Diversity responses diverge across spatial scales: At finer scales (2.5m&#xd7;2.5m), diversity indices are generally lower, constrained by limited environmental heterogeneity and sampling bias&#x2014;<italic>Stipa breviflora</italic> root competition inhibits coexistence of sensitive species, and sparsely distributed forbs may be undersampled (<xref ref-type="bibr" rid="B64">Ravenek, 2015</xref>). Conversely, at intermediate scales (25m&#xd7;25m), the Margalef richness index shows a distinct increase, likely driven by localized outbreaks of grazing-tolerant species (e.g., <italic>Chenopodium aristatum</italic>) and patch dynamics. Heavy grazing suppresses dominant species expansion, enabling annual plants to rapidly colonize vacated niches and transiently boost species richness (<xref ref-type="bibr" rid="B4">Bajwa et&#xa0;al., 2021</xref>). Grazing-induced vegetation patchiness allows this scale to capture more ephemeral species in residual grazing areas, while control plots exhibit lower species counts due to uniform dominance&#x2014;aligning with the scale-dependent intermediate disturbance hypothesis, where medium scales show greater sensitivity to short-term disturbance responses than broader scales (50m&#xd7;50m), where spatial averaging masks local variations (<xref ref-type="bibr" rid="B76">Stone, 1995</xref>; <xref ref-type="bibr" rid="B51">Mayor et&#xa0;al., 2015</xref>; <xref ref-type="bibr" rid="B53">McConaghy, 2016</xref>). At broad scales, non-significant diversity differences between grazing treatments likely stem from compensatory effects among functional groups (e.g., spatial complementarity between deep-rooted shrubs and shallow-rooted grasses buffering individual group impacts) (<xref ref-type="bibr" rid="B5">Bakker, 2018</xref>; <xref ref-type="bibr" rid="B21">Gamadaerji et&#xa0;al., 2020</xref>; <xref ref-type="bibr" rid="B83">Wang et&#xa0;al., 2022</xref>). Collectively, grazing regulates diversity dynamics through multi-scale mechanisms: local competition and morphological adaptations [e.g., cuticle thickening in <italic>Cleistogenes songorica</italic> (<xref ref-type="bibr" rid="B68">Sachura et&#xa0;al., 2024</xref>)] dominate species turnover at finer scales, while functional complementarity and resource partitioning sustain system stability at broader scales (<xref ref-type="bibr" rid="B24">Guo et&#xa0;al., 2020</xref>; <xref ref-type="bibr" rid="B41">Li et&#xa0;al., 2022a</xref>; <xref ref-type="bibr" rid="B55">Montoya et&#xa0;al., 2015</xref>).</p>
</sec>
<sec id="s4_2">
<label>4.2</label>
<title>Analysis of interspecific associations across spatial scales and grazing intensities</title>
<p>Grazing intensity and spatial scale interactively reconfigure interspecific associations among plant functional groups in <italic>Stipa breviflora</italic> desert steppe. Variance Ratio (VR) analysis reveals scale-dependent patterns: at finer scales (2.5m&#xd7;2.5m), heavy grazing generates significantly positive associations (VR &gt; 1) as it suppresses dominant groups (e.g., perennial grasses), releasing niche space for complementary distributions between grazing-tolerant species (e.g., annual/biennial plants) and residual dominants (<xref ref-type="bibr" rid="B77">Tang et&#xa0;al., 2019</xref>; <xref ref-type="bibr" rid="B46">Liu et&#xa0;al., 2022</xref>). Conversely, at larger scales (50m&#xd7;50m), ungrazed areas exhibit non-significant negative VR values indicating inherent resource competition, plants achieve resource division through spatial division of their root systems (root domain territorialization), forming symmetrical competition (resource allocation in proportion to biomass), and reducing intraspecific consumption (<xref ref-type="bibr" rid="B14">de Kroon et&#xa0;al., 2003</xref>), while heavy grazing homogenizes resource consumption, driving VR toward neutrality (VR&#xa0;=&#xa0;1) (<xref ref-type="bibr" rid="B39">Le Bagousse-Pinguet et&#xa0;al., 2012</xref>). This supports the Competitive Release Hypothesis where disturbances reduce niche overlap (<xref ref-type="bibr" rid="B71">Segre et&#xa0;al., 2016</xref>). The fine-scale positive associations under grazing arise from synergistic environmental filtering, habitat heterogeneity, and interspecific facilitation - reflecting adaptive coordination among stress-tolerant species rather than classical competitive antagonism (<xref ref-type="bibr" rid="B50">Magura et&#xa0;al., 2018</xref>; <xref ref-type="bibr" rid="B12">Dai et&#xa0;al., 2020</xref>; <xref ref-type="bibr" rid="B33">Jiang et&#xa0;al., 2022</xref>).</p>
<p>Functional group pairwise associations show distinct scale-grazing interactions: Ungrazed conditions feature non-significant associations at larger/intermediate scales (50m&#xd7;50m,25m&#xd7;25m) due to stable coexistence via resource partitioning (<xref ref-type="bibr" rid="B90">Yang et&#xa0;al., 2018</xref>; <xref ref-type="bibr" rid="B61">Pescador et&#xa0;al., 2021</xref>; <xref ref-type="bibr" rid="B8">Beck et&#xa0;al., 2022</xref>; <xref ref-type="bibr" rid="B30">Homulle et&#xa0;al., 2022</xref>; <xref ref-type="bibr" rid="B89">Yang et&#xa0;al., 2015</xref>; <xref ref-type="bibr" rid="B75">Sinclair et&#xa0;al., 2020</xref>), but significant positive perennial grass-forb correlations at fine scales (2.5m&#xd7;2.5m) via microhabitat root complementarity (<xref ref-type="bibr" rid="B40">Lencinas et&#xa0;al., 2007</xref>; <xref ref-type="bibr" rid="B57">Nagel et&#xa0;al., 2015</xref>; <xref ref-type="bibr" rid="B45">Liu et&#xa0;al., 2023</xref>). Heavy grazing fundamentally disrupts these patterns: at large scales, grazing-tolerant species form positive associations (<xref ref-type="bibr" rid="B10">Cole, 2003</xref>) while grass-forb competition intensifies (<xref ref-type="bibr" rid="B20">Fu et&#xa0;al., 2019</xref>); at fine scales, amplified competition generates negative associations among most groups (<xref ref-type="bibr" rid="B61">Pescador et&#xa0;al., 2021</xref>), though transient grass-annual plant cooperation persists through shared resource exploitation (<xref ref-type="bibr" rid="B57">Nagel et&#xa0;al., 2015</xref>; <xref ref-type="bibr" rid="B98">Zhang et&#xa0;al., 2021</xref>). Shrub-related associations further demonstrate scale effects: negative grass-shrub correlations at large ungrazed scales [resource competition (<xref ref-type="bibr" rid="B21">Gamadaerji et&#xa0;al., 2020</xref>)] shift to positive shrub-forb associations under grazing [collaborative stress tolerance (<xref ref-type="bibr" rid="B2">Alvarez et&#xa0;al., 2011</xref>; <xref ref-type="bibr" rid="B63">Puigdefabregas et&#xa0;al., 1999</xref>; <xref ref-type="bibr" rid="B78">Thorpe et&#xa0;al., 1998</xref>; <xref ref-type="bibr" rid="B70">Saldo and Bartolome Filella, 2021</xref>)]. Collectively, grazing reshapes association networks by altering resource distribution and competitive hierarchies (<xref ref-type="bibr" rid="B69">Saiz and Alados, 2012</xref>; <xref ref-type="bibr" rid="B99">Zhang et&#xa0;al., 2020</xref>; <xref ref-type="bibr" rid="B58">Newman, 2006</xref>; <xref ref-type="bibr" rid="B60">Olesen et&#xa0;al., 2007</xref>).</p>
<p>Co-occurrence (PC) and association strength (OI/DI) indices corroborate these dynamics: Ungrazed large scales show high PC (0.6&#x2013;1) and distributed OI values ([0.3,1]), (<xref ref-type="bibr" rid="B11">Dai et&#xa0;al., 2019</xref>; <xref ref-type="bibr" rid="B73">Shan et&#xa0;al., 2018</xref>) indicating multi-tiered networks sustained by environmental heterogeneity (<xref ref-type="bibr" rid="B92">Zainelabdeen et&#xa0;al., 2021</xref>; <xref ref-type="bibr" rid="B67">Rodr&#xed;guez et&#xa0;al., 2023</xref>; <xref ref-type="bibr" rid="B102">Zheng et&#xa0;al., 2024</xref>; <xref ref-type="bibr" rid="B93">Zainelabdeen et&#xa0;al., 2020</xref>; <xref ref-type="bibr" rid="B66">Ren et&#xa0;al., 2018</xref>). Heavy grazing universally reduces PC values and concentrates OI in higher ranges ([0.6,1]) but with fewer functional groups, forming simplified high-co-occurrence/low-biodiversity communities (<xref ref-type="bibr" rid="B69">Saiz and Alados, 2012</xref>; <xref ref-type="bibr" rid="B92">Zainelabdeen et&#xa0;al., 2021</xref>; <xref ref-type="bibr" rid="B28">Hao et&#xa0;al., 2022</xref>; <xref ref-type="bibr" rid="B93">Zainelabdeen et&#xa0;al., 2020</xref>; <xref ref-type="bibr" rid="B66">Ren et&#xa0;al., 2018</xref>). Scale reduction intensifies these trends at fine scales (2.5m&#xd7;2.5m), ungrazed communities maintain elevated OI through microhabitat symbiosis (<xref ref-type="bibr" rid="B21">Gamadaerji et&#xa0;al., 2020</xref>; <xref ref-type="bibr" rid="B31">Hu et&#xa0;al., 2022</xref>; <xref ref-type="bibr" rid="B32">Hu et&#xa0;al., 2020</xref>), while grazing collapses associations to near-zero PC/OI values for most pairs, leaving only rudimentary grass-annual plant networks (<xref ref-type="bibr" rid="B69">Saiz and Alados, 2012</xref>; <xref ref-type="bibr" rid="B34">Jim&#xe9;nez et&#xa0;al., 2014</xref>). Grazing consistently weakens interspecific linkages by reducing species occurrence probabilities, with scale diminution exacerbating this effect (<xref ref-type="bibr" rid="B80">Tsutsumi et&#xa0;al., 2002</xref>; <xref ref-type="bibr" rid="B69">Saiz and Alados, 2012</xref>; <xref ref-type="bibr" rid="B94">Zhang et&#xa0;al., 2013</xref>; <xref ref-type="bibr" rid="B44">Liang et&#xa0;al., 2018</xref>).</p>
<p>Pearson correlations integrate these patterns: Positive shrub-forb/annual correlations in ungrazed large scales reflect microhabitat amelioration (<xref ref-type="bibr" rid="B3">Archer et&#xa0;al., 2017</xref>; <xref ref-type="bibr" rid="B13">Davison et&#xa0;al., 2020</xref>), contrasting with grazing-induced positive annual-forb correlations through complementary resource-use (<xref ref-type="bibr" rid="B29">Herlocker et&#xa0;al., 1999</xref>; <xref ref-type="bibr" rid="B52">Mbembok et&#xa0;al., 2017</xref>). Intermediate scales strengthen mutualistic networks ungrazed (<xref ref-type="bibr" rid="B72">Setiawan et&#xa0;al., 2023</xref>) but only retain shrub-forb synergies under grazing (<xref ref-type="bibr" rid="B7">Bascompte et&#xa0;al., 2003</xref>; <xref ref-type="bibr" rid="B6">Bascompte and Jordano, 2007</xref>). Critically, large-scale associations are primarily environmentally mediated [heterogeneity-driven resource allocation (<xref ref-type="bibr" rid="B81">Wang et&#xa0;al., 2014</xref>; <xref ref-type="bibr" rid="B25">Hai et&#xa0;al., 2021</xref>)], while fine-scale linkages are governed by direct biotic interactions (<xref ref-type="bibr" rid="B47">Losapio et&#xa0;al., 2018</xref>). Grazing drives transitions from multispecies synergies to simplified tolerance-dominated networks via resource redistribution and physiological stress (<xref ref-type="bibr" rid="B1">Abu Bakar et&#xa0;al., 2023</xref>), offering actionable insights: restoring degraded grasslands requires optimizing resource heterogeneity at broad scales while enhancing key species interactions at fine scales (<xref ref-type="bibr" rid="B62">Peters et&#xa0;al., 2006</xref>; <xref ref-type="bibr" rid="B86">Wang et&#xa0;al., 2018</xref>; <xref ref-type="bibr" rid="B101">Zhao et&#xa0;al., 2023</xref>).</p>
</sec>
<sec id="s4_3">
<label>4.3</label>
<title>Stability analysis of functional groups across spatial scales and grazing intensities</title>
<p>Plant functional groups exhibited distinct stability responses to grazing across spatial scales in Stipa breviflora desert steppe. Perennial grasses showed higher stability in ungrazed areas than heavily grazed plots at all spatial scales yet maintained overall instability. Their long life cycles and regenerative capacity supported greater biomass and structural stability without grazing (<xref ref-type="bibr" rid="B99">Zhang et&#xa0;al., 2020</xref>), but grazing directly damaged aboveground tissues (reducing photosynthesis and reproduction), while soil compaction and nutrient depletion in heavily grazed areas further impaired recovery (<xref ref-type="bibr" rid="B26">Hamza and Anderson, 2005</xref>). Notably, even ungrazed perennial grasses displayed relatively low stability, likely due to natural disturbances (e.g., climatic fluctuations) and interspecific competition (<xref ref-type="bibr" rid="B65">Rayburn, 2011</xref>; <xref ref-type="bibr" rid="B74">Siebert et&#xa0;al., 2020</xref>). Perennial forbs reached peak stability at broader scales (50m&#xd7;50m) under ungrazed conditions [intersection point approaching (<xref ref-type="bibr" rid="B13">Davison et&#xa0;al., 2020</xref>; <xref ref-type="bibr" rid="B79">Tran et&#xa0;al., 2021</xref>)], where increased environmental heterogeneity enabled adaptive niche strategies (e.g., divergent root architectures and nutrient uptake) to buffer environmental fluctuations (<xref ref-type="bibr" rid="B43">Liang et&#xa0;al., 2022</xref>; <xref ref-type="bibr" rid="B59">Ning et&#xa0;al., 2022</xref>; <xref ref-type="bibr" rid="B54">Meng et&#xa0;al., 2023</xref>). Heavy grazing reduced forb stability by damaging biomass and disrupting soil-nutrient cycles (<xref ref-type="bibr" rid="B23">Giuliani et&#xa0;al., 2024</xref>; <xref ref-type="bibr" rid="B27">Hao et&#xa0;al., 2024</xref>). Conversely, annual/biennial plants and shrubs/semi-shrubs remained unstable across all scales and grazing intensities: short-lived species exhibited high vulnerability to environmental variability due to brief life cycles and seed-dependent regeneration (<xref ref-type="bibr" rid="B100">Zhang et&#xa0;al., 2020</xref>), further compromised by grazing consumption of seedlings/seeds; woody plants suffered from slow growth, browsing/trampling sensitivity, patchy distributions, and weak interspecific interactions (<xref ref-type="bibr" rid="B18">El-Mahi, 1990</xref>). These differential responses arise from scale-grazing interactions modulating growth traits, ecological strategies, and disturbance resilience&#x2014;perennial groups show grazing-sensitive stability (especially at broader scales), while short-lived and woody groups persist unstable throughout the grazing gradient.</p>
</sec>
</sec>
<sec id="s5" sec-type="conclusions">
<label>5</label>
<title>Conclusions</title>
<p>Based on a systematic investigation into the response mechanisms of plant functional groups in the <italic>Stipa breviflora</italic> desert steppe under varying spatial scales and grazing intensities, the following key conclusions were drawn:</p>
<list list-type="order">
<list-item>
<p>Grazing intensity significantly influenced plant functional group diversity, with effects exhibiting distinct spatial scale dependence. Heavy grazing generally reduced community Shannon-Wiener diversity, Simpson dominance, and Pielou evenness indices. However, at the intermediate 25m&#xd7;25m scale, the Margalef richness index increased, indicating that this scale is most sensitive to grazing disturbance&#x2014;likely due to patchy invasion of grazing-tolerant species and the scale-dependent effects of the intermediate disturbance hypothesis.</p>
</list-item>
<list-item>
<p>Interspecific associations showed significant scale-dependent characteristics. At larger scales (50m&#xd7;50m), interactions were primarily driven by resource competition and environmental heterogeneity, while at finer scales (2.5m&#xd7;2.5m), direct biological interactions (e.g., facilitation or exclusion) played a dominant role. Heavy grazing markedly altered interspecific association networks, leading to simplified, high-co-occurrence symbiotic structures between perennial grasses and annual/biennial plants, while strongly suppressing perennial forbs and shrubs/semi-shrubs.</p>
</list-item>
<list-item>
<p>The stability of different functional groups responded differently to grazing and spatial scale. Perennial grasses and forbs exhibited relatively higher stability under grazing exclusion, particularly at larger scales (50m&#xd7;50m). In contrast, annual/biennial plants and shrubs/semi-shrubs remained unstable across all treatments, showing high dependence on environmental fluctuations and disturbance conditions.</p>
</list-item>
<list-item>
<p>This study underscores the importance of multi-scale analysis in understanding and managing grazing ecosystems. The 25m&#xd7;25m scale was identified as critical for characterizing grazing impacts and should be prioritized as a key spatial unit for future monitoring and restoration practices. Based on these findings, we propose integrated multi-scale restoration strategies: optimizing resource allocation and habitat heterogeneity at broad scales, and enhancing community stability through functional group combinations and mutualistic species assemblies at fine scales.</p>
</list-item>
</list>
<p>In conclusion, this research provides a theoretical basis and practical guidance for multi-scale grazing management in the Stipa breviflora desert steppe, highlighting the necessity of designing spatially explicit restoration measures based on underlying mechanisms in dynamic environments under anthropogenic disturbance.</p>
</sec>
</body>
<back>
<sec id="s6" sec-type="data-availability">
<title>Data availability statement</title>
<p>The raw data supporting the conclusions of this article will be made available by the authors, without undue reservation.</p>
</sec>
<sec id="s7" sec-type="author-contributions">
<title>Author contributions</title>
<p>LW: Data curation, Validation, Methodology, Writing &#x2013; original draft, Formal analysis. XD: Software, Conceptualization, Writing &#x2013; review &amp; editing. JL: Funding acquisition, Writing &#x2013; review &amp; editing, Investigation, Data curation. JZ: Writing &#x2013; review &amp; editing, Validation. SL: Writing &#x2013; review &amp; editing, Methodology.</p>
</sec>
<sec id="s8" sec-type="funding-information">
<title>Funding</title>
<p>The author(s) declare financial support was received for the research and/or publication of this article. This research was funded by &#x201c;The National Natural Science Foundation of China, grant numbers 32160258 and 32160332&#x201d; and &#x201c;The Interdisciplinary Fund Project of Inner Mongolia Agricultural University was funded by BR231502&#x201d;. We extend our heartfelt gratitude to the National Natural Science Foundation of China for its financial backing of several research projects. These projects include &#x201c;Response of Interspecific Competition and Its Spatial Occurred Scales to the Stocking Rates in Stipa breviflora Desert Steppe&#x201d; (Grant No. 32160258), &#x201c;The Regulatory Mechanisms of Long-term Grazing at Different Stocking Rates on Plant Community Dynamics and Composition in Stipa breviflora Grasslands&#x201d; (Grant No. 32160332), and &#x201c;Mathematical Model Analysis of Plant Community Stability in Grazed Grasslands&#x201d; (Grant No. BR231502). </p>
</sec>
<ack>
<title>Acknowledgments</title>
<p>We are also very thankful to the Inner Mongolia Grassland Ecosystem Research Station (IMGERS) of the Chinese Academy of Sciences for offering the field facilities necessary for our research. Professor Guodong Han&#x2019;s valuable suggestions have been of great assistance to us, and we sincerely thank him. Moreover, we are deeply appreciative of the reviewers who have conducted a careful evaluation of our manuscript and provided insightful comments and suggestions that have significantly enhanced the quality of our work. We also express our gratitude to the editors for their careful handling of the manuscript and their constructive feedback throughout the review process.</p>
</ack>
<sec id="s9" 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="s10" sec-type="ai-statement">
<title>Generative AI statement</title>
<p>The author(s) declare that no Generative AI was used in the creation of this manuscript.</p>
<p>Any alternative text (alt text) provided alongside figures in this article has been generated by Frontiers with the support of artificial intelligence and reasonable efforts have been made to ensure accuracy, including review by the authors wherever possible. If you identify any issues, please contact us.</p>
</sec>
<sec id="s11" 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>
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