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<front>
<journal-meta>
<journal-id journal-id-type="publisher-id">Front. Sustain. Food Syst.</journal-id>
<journal-title-group>
<journal-title>Frontiers in Sustainable Food Systems</journal-title>
<abbrev-journal-title abbrev-type="pubmed">Front. Sustain. Food Syst.</abbrev-journal-title>
</journal-title-group>
<issn pub-type="epub">2571-581X</issn>
<publisher>
<publisher-name>Frontiers Media S.A.</publisher-name>
</publisher>
</journal-meta>
<article-meta>
<article-id pub-id-type="doi">10.3389/fsufs.2026.1757502</article-id>
<article-version article-version-type="Version of Record" vocab="NISO-RP-8-2008"/>
<article-categories>
<subj-group subj-group-type="heading">
<subject>Original Research</subject>
</subj-group>
</article-categories>
<title-group>
<article-title>Analysis of ecosystem services supply&#x2013;demand relationship and influencing factors in Guangxi at different scales</article-title>
</title-group>
<contrib-group>
<contrib contrib-type="author">
<name>
<surname>Caicai</surname>
<given-names>Xu</given-names>
</name>
<xref ref-type="aff" rid="aff1"><sup>1</sup></xref>
<uri xlink:href="https://loop.frontiersin.org/people/3252369"/>
<role vocab="credit" vocab-identifier="https://credit.niso.org/" vocab-term="visualization" vocab-term-identifier="https://credit.niso.org/contributor-roles/visualization/">Visualization</role>
<role vocab="credit" vocab-identifier="https://credit.niso.org/" vocab-term="conceptualization" vocab-term-identifier="https://credit.niso.org/contributor-roles/conceptualization/">Conceptualization</role>
<role vocab="credit" vocab-identifier="https://credit.niso.org/" vocab-term="validation" vocab-term-identifier="https://credit.niso.org/contributor-roles/validation/">Validation</role>
<role vocab="credit" vocab-identifier="https://credit.niso.org/" vocab-term="methodology" vocab-term-identifier="https://credit.niso.org/contributor-roles/methodology/">Methodology</role>
<role vocab="credit" vocab-identifier="https://credit.niso.org/" vocab-term="Writing &#x2013; review &#x0026; editing" vocab-term-identifier="https://credit.niso.org/contributor-roles/writing-review-editing/">Writing &#x2013; review &#x0026; editing</role>
<role vocab="credit" vocab-identifier="https://credit.niso.org/" vocab-term="Formal analysis" vocab-term-identifier="https://credit.niso.org/contributor-roles/formal-analysis/">Formal analysis</role>
<role vocab="credit" vocab-identifier="https://credit.niso.org/" vocab-term="Writing &#x2013; original draft" vocab-term-identifier="https://credit.niso.org/contributor-roles/writing-original-draft/">Writing &#x2013; original draft</role>
</contrib>
<contrib contrib-type="author" corresp="yes">
<name>
<surname>Zhuo</surname>
<given-names>Chen</given-names>
</name>
<xref ref-type="aff" rid="aff2"><sup>2</sup></xref>
<xref ref-type="corresp" rid="c001"><sup>&#x002A;</sup></xref>
<role vocab="credit" vocab-identifier="https://credit.niso.org/" vocab-term="supervision" vocab-term-identifier="https://credit.niso.org/contributor-roles/supervision/">Supervision</role>
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<role vocab="credit" vocab-identifier="https://credit.niso.org/" vocab-term="Funding acquisition" vocab-term-identifier="https://credit.niso.org/contributor-roles/funding-acquisition/">Funding acquisition</role>
<role vocab="credit" vocab-identifier="https://credit.niso.org/" vocab-term="methodology" vocab-term-identifier="https://credit.niso.org/contributor-roles/methodology/">Methodology</role>
<role vocab="credit" vocab-identifier="https://credit.niso.org/" vocab-term="conceptualization" vocab-term-identifier="https://credit.niso.org/contributor-roles/conceptualization/">Conceptualization</role>
</contrib>
<contrib contrib-type="author" corresp="yes">
<name>
<surname>Qing</surname>
<given-names>Kang</given-names>
</name>
<xref ref-type="aff" rid="aff3"><sup>3</sup></xref>
<xref ref-type="corresp" rid="c001"><sup>&#x002A;</sup></xref>
<role vocab="credit" vocab-identifier="https://credit.niso.org/" vocab-term="Writing &#x2013; original draft" vocab-term-identifier="https://credit.niso.org/contributor-roles/writing-original-draft/">Writing &#x2013; original draft</role>
<role vocab="credit" vocab-identifier="https://credit.niso.org/" vocab-term="methodology" vocab-term-identifier="https://credit.niso.org/contributor-roles/methodology/">Methodology</role>
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</contrib>
<contrib contrib-type="author">
<name>
<surname>Jing</surname>
<given-names>Xu</given-names>
</name>
<xref ref-type="aff" rid="aff3"><sup>3</sup></xref>
</contrib>
</contrib-group>
<aff id="aff1"><label>1</label><institution>School of Public Administration, Huazhong Agricultural University</institution>, <city>Wuhan</city>, <country country="cn">China</country></aff>
<aff id="aff2"><label>2</label><institution>State Key Laboratory of Efficient Utilization of Arid and Semi-arid Arable Land in Northern</institution>, <city>Beijing</city>, <country country="cn">China</country></aff>
<aff id="aff3"><label>3</label><institution>School of Public Administration, Guangxi University</institution>, <city>Nanning</city>, <country country="cn">China</country></aff>
<author-notes>
<corresp id="c001"><label>&#x002A;</label>Correspondence: Chen Zhuo, <email xlink:href="mailto:cysycz@126.com">cysycz@126.com</email>; Kang Qing, <email xlink:href="mailto:kq1301@163.com">kq1301@163.com</email></corresp>
</author-notes>
<pub-date publication-format="electronic" date-type="pub" iso-8601-date="2026-03-04">
<day>04</day>
<month>03</month>
<year>2026</year>
</pub-date>
<pub-date publication-format="electronic" date-type="collection">
<year>2026</year>
</pub-date>
<volume>10</volume>
<elocation-id>1757502</elocation-id>
<history>
<date date-type="received">
<day>30</day>
<month>11</month>
<year>2025</year>
</date>
<date date-type="rev-recd">
<day>29</day>
<month>01</month>
<year>2026</year>
</date>
<date date-type="accepted">
<day>17</day>
<month>02</month>
<year>2026</year>
</date>
</history>
<permissions>
<copyright-statement>Copyright &#x00A9; 2026 Caicai, Zhuo, Qing and Jing.</copyright-statement>
<copyright-year>2026</copyright-year>
<copyright-holder>Caicai, Zhuo, Qing and Jing</copyright-holder>
<license>
<ali:license_ref start_date="2026-03-04">https://creativecommons.org/licenses/by/4.0/</ali:license_ref>
<license-p>This is an open-access article distributed under the terms of the <ext-link ext-link-type="uri" xlink:href="https://creativecommons.org/licenses/by/4.0/">Creative Commons Attribution License (CC BY)</ext-link>. 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.</license-p>
</license>
</permissions>
<abstract>
<sec>
<title>Introduction</title>
<p>Ecosystem service (ES) supply&#x2013;demand relationship, directly affects human well-being and has become a critical aspect of ecological civilization construction. However, previous studies have focused more on ES supply&#x2013;demand relationship at a single scale, neglecting the scale sensitivity of ecosystems. Therefore, this study employs Guangxi as a case study.</p>
</sec>
<sec>
<title>Methods</title>
<p>A multi-scale analysis framework was constructed, embedding municipal, county, and grid scales. The InVEST and RUSLE models were comprehensively applied to evaluate the supply&#x2013;demand relationships and matching patterns of key ESs, including food production, carbon sequestration, soil conservation, habitat quality, and water yield. A geographically weighted regression model was utilized to analyse the scale dependency and spatial non-stationarity of influencing factors.</p>
</sec>
<sec>
<title>Results</title>
<p>(1) the matching patterns of ES supply and demand in Guangxi exhibit significant scale dependency. The city level presents an &#x201C;overall surplus with structural deficits&#x201D; characteristic; the county level reveals localised imbalances masked by municipal averages; while the grid scale further identifies micro-deficit patches within continuous spatial patterns. (2) Spatial correlation patterns between ES supply and demand undergo systematic evolution with increasing scale resolution. Municipal scale predominantly exhibit low-supply&#x2013;low-demand agglomeration, while county scale show positive agglomeration for food and soil conservation services alongside negative correlations for water production services. Grid scales highlight localised mismatches between soil conservation and habitat quality. (3) Driving mechanisms demonstrate pronounced spatial heterogeneity and scale sensitivity. Factors such as forest cover and precipitation generally exert positive influences, yet their effect intensity and directionality vary spatially. As the scale becomes finer, the dominant factors shift from natural baseline conditions to human activity factors. At the county scale, a dual-track driving mechanism emerges where &#x201C;natural factors dominate supply services while human factors dominate demand services.&#x201D; At the grid scale, the influence of human activities further intensifies.</p>
</sec>
<sec>
<title>Discussion</title>
<p>This study reveals the transmission patterns of ES supply&#x2013;demand relationships and the scale effects of driving mechanisms from a multi-scale perspective, providing scientific basis for differentiated and precise ecological restoration and spatial governance optimized for national territorial space.</p>
</sec>
</abstract>
<kwd-group>
<kwd>ecosystem service supply and demand</kwd>
<kwd>Guangxi</kwd>
<kwd>influencing factors</kwd>
<kwd>multi-scale</kwd>
<kwd>spatial agglomeration characteristics</kwd>
</kwd-group>
<funding-group>
<funding-statement>The author(s) declared that financial support was not received for this work and/or its publication.</funding-statement>
</funding-group>
<counts>
<fig-count count="6"/>
<table-count count="5"/>
<equation-count count="5"/>
<ref-count count="33"/>
<page-count count="17"/>
<word-count count="10163"/>
</counts>
<custom-meta-group>
<custom-meta>
<meta-name>section-at-acceptance</meta-name>
<meta-value>Land, Livelihoods and Food Security</meta-value>
</custom-meta>
</custom-meta-group>
</article-meta>
</front>
<body>
<sec sec-type="intro" id="sec1">
<label>1</label>
<title>Introduction</title>
<p>Ecosystem Service (ESs) supply&#x2013;demand matching serves as a critical indicator of regional ecological and socioeconomic coordination and reflects the health status of the local ecological environment (<xref ref-type="bibr" rid="ref30">Zhang et al., 2022</xref>). Since the beginning of the 21st century, global ecological crises have intensified. Human activities have caused 60% of global ES to be in a state of degradation, with their supply capacity gradually declining (<xref ref-type="bibr" rid="ref20">Wang et al., 2024</xref>). Meanwhile, with the growth in population size and intensification of economic activities, ES demand has also surged (<xref ref-type="bibr" rid="ref10">Liu et al., 2024a</xref>). The declining ES supply coupled with rising human demand has led to mismatches in both the quantity and spatial distribution of ES supply&#x2013;demand, posing serious threats to regional ecological security and high-quality development (<xref ref-type="bibr" rid="ref26">Xu et al., 2022</xref>). In response to increasingly severe ecological and environmental challenges, China has elevated ecological civilization construction to a strategic level essential for human well-being (<xref ref-type="bibr" rid="ref11">Liu and Wu, 2024</xref>). Therefore, scientifically assessing ES supply&#x2013;demand relationship and analyzing their influencing factors have become pressing challenges for optimizing territorial space and achieving high-quality regional development.</p>
<p>Research on ES supply and demand has undergone a paradigm shift from single-value assessments to multi-functional trade-offs, and from static supply measurements to dynamic supply&#x2013;demand relationship analyses (<xref ref-type="bibr" rid="ref3">Costanza et al., 1997</xref>). In terms of supply&#x2013;demand assessment methods, these mainly include ecological model (<xref ref-type="bibr" rid="ref25">Xu and Li, 2025</xref>), expert matrix evaluation (<xref ref-type="bibr" rid="ref17">Sun et al., 2020</xref>) and valuation methods (<xref ref-type="bibr" rid="ref27">Xue et al., 2026</xref>). Among these, ecological models such as InVEST and RUSLE have been widely adopted for quantifying ES supply and demand, owing to their ability to integrate multi-source environmental parameters and simulate key ecological processes (<xref ref-type="bibr" rid="ref14">Mashizi and Sharafatmandrad, 2021</xref>). To analyze spatial mismatches and balance in ES supply and demand, commonly adopted methods include supply&#x2013;demand ratio analysis and spatial autocorrelation, which have enhanced the understanding of ES spatial differentiation patterns (<xref ref-type="bibr" rid="ref32">Zheng et al., 2026</xref>; <xref ref-type="bibr" rid="ref12">Liu et al., 2025</xref>). The scales of research have also become increasingly diverse, extending from global and watershed levels to urban agglomerations, counties, and even finer administrative units (<xref ref-type="bibr" rid="ref18">Tao et al., 2018</xref>; <xref ref-type="bibr" rid="ref4">Cui et al., 2019</xref>). Regarding driving mechanisms, supply-side studies primarily focus on the impacts of land use/cover change, climatic factors, and vegetation dynamics, while demand-side research has gradually shifted from macro-statistical descriptions to more detailed socioeconomic dynamics, often employing tools such as random forests, geographical detectors, structural equation modeling, and redundancy analysis for factor analysis. However, existing studies still face significant constraints in exploring multi-scale effects and analyzing driving mechanisms (<xref ref-type="bibr" rid="ref8">Larondelle and Lauf, 2016</xref>). First, supply-side assessments often rely on raster-scale data (e.g., land use), varying from local to global scales, while demand-side evaluations are typically conducted at administrative scales (e.g., municipal or county levels). This scale mismatch hinders the precise analysis of supply&#x2013;demand relationships (<xref ref-type="bibr" rid="ref17">Sun et al., 2020</xref>). Second, most studies focus on ES supply&#x2013;demand characteristics at a single scale, failing to systematically examine how scale selection influences the observed relationships (<xref ref-type="bibr" rid="ref29">Zhai et al., 2020</xref>), which makes it difficult to reveal how ES supply&#x2013;demand patterns transfer and vary across different management levels. Finally, analysis of driving mechanisms predominantly depends on global regression models, which inadequately capture the spatial non-stationarity of drivers and their differentiated impacts across management scales (<xref ref-type="bibr" rid="ref21">Wen et al., 2024</xref>). This leads to policy design falling into a one-size-fits-all predicament, resulting in inefficient governance and wasted resources.</p>
<p>Guangxi, serving as a key node in China&#x2019;s &#x201C;Belt and Road&#x201D; initiative and the &#x201C;Two Screens and Three Belts&#x201D; ecological security pattern, has undergone rapid urbanization, leading to the degradation of both its ecosystem structure and function (<xref ref-type="bibr" rid="ref4">Cui et al., 2019</xref>). Although existing assessments of its ecosystem service supply and demand (<xref ref-type="bibr" rid="ref9">Liu et al., 2024b</xref>), studies have yet to systematically reveal, within a nested multi-scale framework of municipal-county-grid systems, the spatial differentiation characteristics of key ES supply&#x2013;demand matching and the scale-dependent transition patterns of their influencing mechanisms. To address this gap, this study takes Guangxi as the research area and employs methods including the InVEST and RUSLE models, bivariate spatial autocorrelation, and geographically weighted regression (GWR). It aims to answer the following scientific questions: (1) What are the differentiated characteristics of the supply&#x2013;demand quantity and spatial matching patterns of key ES in Guangxi across different spatial scales? (2) Do different driving factors exhibit significant scale dependence and spatial non-stationarity in their influence on ES supply&#x2013;demand relationships? The study intends to provide empirical evidence and decision-making references for supporting cross-scale, differentiated, and targeted ecological restoration and spatial governance in territorial planning.</p>
</sec>
<sec id="sec2">
<label>2</label>
<title>Data and methods</title>
<sec id="sec3">
<label>2.1</label>
<title>Study area</title>
<p>Guangxi Zhuang Autonomous Region is located on the southeastern margin of the Yunnan&#x2013;Guizhou Plateau, bordering the Beibu Gulf to the south (<xref ref-type="fig" rid="fig1">Figure 1</xref>), with a total area of approximately 237,600 km<sup>2</sup>. The terrain generally features higher elevations in the northwest and lower elevations in the southeast. Hills and mountains dominate the landscape, accounting for 62.05% of the total area. The region encompasses both karst landforms and coastal ecosystems, resulting in a complex and sensitive ecological context. Driven by rapid urbanization and agricultural development, the land-use structure has undergone significant changes between 2009 and 2023: built-up areas, wetlands, water bodies, and grasslands have shown clear expansion trends, while cultivated land area decreased by approximately 1.0961 million hm<sup>2</sup> (<xref ref-type="bibr" rid="ref13">Ma et al., 2025</xref>). These land-use changes have profoundly influenced the patterns of ecosystem service (ES) supply and demand. Additionally, influenced by topography, the spatial distribution of natural resource endowments and ecological problems within Guangxi is highly heterogeneous (<xref ref-type="bibr" rid="ref24">Xie et al., 2020</xref>).</p>
<fig position="float" id="fig1">
<label>Figure 1</label>
<caption>
<p>Overview of the study area.</p>
</caption>
<graphic xlink:href="fsufs-10-1757502-g001.tif" mimetype="image" mime-subtype="tiff">
<alt-text content-type="machine-generated">Map of Guangxi Zhuang Autonomous Region in China displaying city boundaries and names, including Nanning, Guilin, Liuzhou, and others, with an inset showing Guangxi&#x2019;s location highlighted in red within a larger map of China.</alt-text>
</graphic>
</fig>
<p>Southeastern Guangxi is characterized by gentle terrain and fertile soil, where intensive human activities exert considerable pressure on ES demand. In contrast, northwestern Guangxi is widely covered by karst landscapes, with poor soil water retention capacity, severe soil erosion, and rocky desertification, which collectively constrain ES supply capacity. Currently, Guangxi has been accelerating the construction of a national ecological civilization demonstration zone, and serves as a key practice area for the concept that &#x201C;lucid waters and lush mountains are invaluable assets.&#x201D; Systematically identifying ES supply&#x2013;demand relationships and exploring their influencing factors are therefore of significant practical importance for advancing regional ecological conservation and high-quality development.</p>
</sec>
<sec id="sec4">
<label>2.2</label>
<title>Determination of ESs and selection of assessment scales</title>
<p>Based on the supporting, regulating, and provisioning services of ES, and in accordance with the ecological conditions of Guangxi, this study selects five key ES types: food production, carbon sequestration, soil conservation, habitat quality, and water yield. The specific rationale is as follows:</p>
<p>Soil erosion in Guangxi has led to a reduction in cultivated land area and the loss of soil nutrients and moisture. Therefore, soil conservation, water yield, and food production are identified as key functions of concern. In particular, the karst landscapes&#x2014;characterized by exposed bedrock, shallow soil layers, and severe rocky desertification&#x2014;make soil conservation a priority among supporting services (<xref ref-type="bibr" rid="ref2">Chen et al., 2021</xref>). Although Guangxi receives abundant precipitation, its storage capacity is weak and unevenly distributed due to topography and soil parent material, resulting in strong leakage; thus, water yield is critical among provisioning services (<xref ref-type="bibr" rid="ref9">Liu et al., 2024b</xref>). The reduction in cultivated land area and the decline in soil nutrients also pose risks to food security, highlighting the growing importance of assessing food production services (<xref ref-type="bibr" rid="ref5">Guo et al., 2024</xref>). Carbon sequestration, as a major component of regional material and energy cycles, plays an irreplaceable role in climate regulation (<xref ref-type="bibr" rid="ref15">Sun et al., 2016</xref>). Habitat quality directly affects biodiversity and forms the basis for developing biodiversity conservation measures (<xref ref-type="bibr" rid="ref6">Huang et al., 2018</xref>).</p>
<p>The scientific quantification of ES supply and demand across multiple scales is essential for understanding their spatial distribution patterns, identifying influencing factors, and optimizing ecological management. To ensure scale consistency in ES supply and demand assessment, all data in this study are rasterized to define the smallest unit of analysis. Using the grid and zonal statistics functions in ArcGIS, ES supply and demand are quantified. A comprehensive multi-scale assessment framework is established at the municipal, county, and grid levels. At the municipal and county scales, which align with macro-level management needs, this study adopts a grid scale based on the average administrative area of township-level units in Guangxi. This approach aims to capture finer local variations in supply&#x2013;demand relationships and effectively link ecological assessment outcomes with grassroots management practices. Guangxi comprises 1,251 townships, with an average area of approximately 190&#x202F;km<sup>2</sup>. Accordingly, to align the grid scale with the administrative scale of townships and facilitate the translation of assessment results into management practices, the grid cell size was set to 15&#x202F;km&#x202F;&#x00D7;&#x202F;15&#x202F;km.</p>
</sec>
<sec id="sec5">
<label>2.3</label>
<title>Methods for assessing ESs supply and demand</title>
<sec id="sec6">
<label>2.3.1</label>
<title>Food production</title>
<p>The supply of food production at the grid scale was determined based on total grain yield and the NDVI values of cultivated land. The demand for food production at the grid scale was calculated using population density and per capita grain consumption (<xref ref-type="bibr" rid="ref22">Whitcraft et al., 2015</xref>).</p>
</sec>
<sec id="sec7">
<label>2.3.2</label>
<title>Carbon sequestration</title>
<p>The supply of carbon sequestration was estimated using Net Primary Productivity (NPP) as the core indicator, combined with a CO<sub>2</sub> conversion coefficient. Urban CO<sub>2</sub> emission data served as the basis for assessing demand. Carbon emissions were spatially coupled with population data through spatial disaggregation to generate gridded carbon demand (<xref ref-type="bibr" rid="ref28">Yu et al., 2021</xref>).</p>
</sec>
<sec id="sec8">
<label>2.3.3</label>
<title>Soil conservation</title>
<p>The supply of soil conservation was assessed using the Revised Universal Soil Loss Equation (RUSLE) model by quantifying the difference between potential and actual soil loss. Actual soil loss was used as an indicator of demand (<xref ref-type="bibr" rid="ref31">Zhao et al., 2024</xref>).</p>
</sec>
<sec id="sec9">
<label>2.3.4</label>
<title>Habitat quality</title>
<p>The habitat quality module within the InVEST model was used to assess habitat quality supply, using raster cells as the evaluation units. Based on land-use type data and threat source information, this module quantified the impact of various threat factors on habitat patches to evaluate habitat quality. It comprehensively considered factors such as the distance-decay effect of threat sources, their spatial weighting, and the degree of legal protection, and calculated habitat quality based on the habitat degradation index (<xref ref-type="bibr" rid="ref7">Jiang, 2022</xref>). For assessing habitat quality demand, with reference to relevant studies, ecosystem degradation is primarily influenced by three major factors: population distribution, land-use development intensity, and economic development level (<xref ref-type="bibr" rid="ref23">Wu et al., 2022</xref>). Therefore, the proportion of construction land, population density, GDP per unit area, and nighttime light intensity were selected to represent habitat demand.</p>
</sec>
<sec id="sec10">
<label>2.3.5</label>
<title>Water yield</title>
<p>This study employed the water yield module of the InVEST model to assess the supply of water yield services based on the principle of water balance. The model quantified the water budget by calculating the difference between precipitation and actual evapotranspiration for each raster unit, thereby deriving regional water yield potential (<xref ref-type="bibr" rid="ref33">Zhou et al., 2024</xref>). The spatial assessment of water yield service demand was achieved by integrating data from water resources bulletins and statistical yearbooks. Specifically, domestic and industrial water use, agricultural irrigation water use, and ecological water demand were spatially linked to corresponding land-use types: construction land for domestic and industrial water use, cultivated land for agricultural water use, and ecological land for ecological water demand. Subsequently, spatial disaggregation was applied to allocate these water demand categories to the grid scale, generating the spatial distribution of water yield service demand (<xref ref-type="bibr" rid="ref1">Chen et al., 2020</xref>) (<xref ref-type="table" rid="tab1">Table 1</xref>).</p>
<table-wrap position="float" id="tab1">
<label>Table 1</label>
<caption>
<p>Methods for assessing ESs supply and demand.</p>
</caption>
<table frame="hsides" rules="groups">
<thead>
<tr>
<th align="left" valign="top">ES</th>
<th align="left" valign="top">Supply</th>
<th align="left" valign="top">Demand</th>
<th align="left" valign="top">Description</th>
</tr>
</thead>
<tbody>
<tr>
<td align="left" valign="top">Food production</td>
<td align="left" valign="top">
<inline-formula>
<mml:math id="M1">
<mml:msub>
<mml:mi>S</mml:mi>
<mml:mi mathvariant="italic">FSi</mml:mi>
</mml:msub>
<mml:mo>=</mml:mo>
<mml:mfrac>
<mml:mrow>
<mml:mi mathvariant="italic">NDV</mml:mi>
<mml:msub>
<mml:mi>I</mml:mi>
<mml:mi>i</mml:mi>
</mml:msub>
</mml:mrow>
<mml:mrow>
<mml:mi mathvariant="italic">NDV</mml:mi>
<mml:msub>
<mml:mi>I</mml:mi>
<mml:mi mathvariant="italic">sum</mml:mi>
</mml:msub>
</mml:mrow>
</mml:mfrac>
<mml:mo>&#x00D7;</mml:mo>
<mml:msub>
<mml:mi>C</mml:mi>
<mml:mi mathvariant="italic">sum</mml:mi>
</mml:msub>
</mml:math>
</inline-formula>
</td>
<td align="left" valign="top">
<inline-formula>
<mml:math id="M2">
<mml:msub>
<mml:mi>D</mml:mi>
<mml:mi mathvariant="italic">FSi</mml:mi>
</mml:msub>
<mml:mo>=</mml:mo>
<mml:msub>
<mml:mi>D</mml:mi>
<mml:mrow>
<mml:mi mathvariant="italic">FS</mml:mi>
<mml:mo>_</mml:mo>
<mml:mi mathvariant="italic">pop</mml:mi>
</mml:mrow>
</mml:msub>
<mml:mo>&#x00D7;</mml:mo>
<mml:msub>
<mml:mi>P</mml:mi>
<mml:mi>i</mml:mi>
</mml:msub>
</mml:math>
</inline-formula>
</td>
<td align="left" valign="top">S<sub>FSi</sub>, DFS<sub>i</sub> represent the food production supply and demand of raster i, NDVI<sub>i</sub> is the NDVI value of raster i, NDVI<sub>sum</sub> is the total urban NDVI, C<sub>sum</sub> is the total urban food production, D<sub>FS_pop</sub> is the per capita food demand, P<sub>i</sub> is the population density of raster i</td>
</tr>
<tr>
<td align="left" valign="top">Carbon sequestration</td>
<td align="left" valign="top">
<inline-formula>
<mml:math id="M3">
<mml:msub>
<mml:mi>S</mml:mi>
<mml:mi mathvariant="italic">CSi</mml:mi>
</mml:msub>
<mml:mo>=</mml:mo>
<mml:mi mathvariant="italic">NP</mml:mi>
<mml:msub>
<mml:mi>P</mml:mi>
<mml:mi>i</mml:mi>
</mml:msub>
<mml:mo>&#x00D7;</mml:mo>
<mml:mi>&#x03B1;</mml:mi>
</mml:math>
</inline-formula>
</td>
<td align="left" valign="top">
<inline-formula>
<mml:math id="M4">
<mml:msub>
<mml:mi>D</mml:mi>
<mml:mi mathvariant="italic">csi</mml:mi>
</mml:msub>
<mml:mo>=</mml:mo>
<mml:msub>
<mml:mi>D</mml:mi>
<mml:mrow>
<mml:mi mathvariant="italic">CS</mml:mi>
<mml:mo>_</mml:mo>
<mml:mi mathvariant="italic">per</mml:mi>
</mml:mrow>
</mml:msub>
<mml:mo>&#x00D7;</mml:mo>
<mml:msub>
<mml:mi>P</mml:mi>
<mml:mi>i</mml:mi>
</mml:msub>
</mml:math>
</inline-formula>
<break/>
<inline-formula>
<mml:math id="M5">
<mml:msub>
<mml:mi>D</mml:mi>
<mml:mrow>
<mml:mi mathvariant="italic">CS</mml:mi>
<mml:mo>_</mml:mo>
<mml:mi mathvariant="italic">per</mml:mi>
</mml:mrow>
</mml:msub>
<mml:mo>=</mml:mo>
<mml:msub>
<mml:mi>D</mml:mi>
<mml:mrow>
<mml:mi mathvariant="italic">cs</mml:mi>
<mml:mo>_</mml:mo>
<mml:mi mathvariant="italic">sum</mml:mi>
</mml:mrow>
</mml:msub>
<mml:mo>&#x00F7;</mml:mo>
<mml:msub>
<mml:mi>P</mml:mi>
<mml:mi mathvariant="italic">sum</mml:mi>
</mml:msub>
</mml:math>
</inline-formula>
</td>
<td align="left" valign="top">S<sub>CSi</sub>, D<sub>CSi</sub> represent the supply and demand of carbon sequestration for raster i; NPP<sub>i</sub> is the net primary productivity of raster i; &#x03B1; is the coefficient of organic matter and CO<sub>2</sub> conversion. D<sub>CS_per</sub>, D<sub>CS_sum</sub> are the per capita CO<sub>2</sub> emissions and total emissions for each city; P<sub>i</sub> is the number of people of raster i; P<sub>sum</sub> is the total resident population of each city</td>
</tr>
<tr>
<td align="left" valign="top">Soil conservation</td>
<td align="left" valign="top">
<inline-formula>
<mml:math id="M6">
<mml:mtable columnalign="left" displaystyle="true">
<mml:mtr>
<mml:mtd>
<mml:msub>
<mml:mi>S</mml:mi>
<mml:mi mathvariant="italic">sci</mml:mi>
</mml:msub>
<mml:mo>=</mml:mo>
<mml:mi>S</mml:mi>
<mml:msub>
<mml:mi>C</mml:mi>
<mml:mi mathvariant="italic">pi</mml:mi>
</mml:msub>
<mml:mo>&#x2212;</mml:mo>
<mml:mi>S</mml:mi>
<mml:msub>
<mml:mi>C</mml:mi>
<mml:mi mathvariant="italic">ri</mml:mi>
</mml:msub>
</mml:mtd>
</mml:mtr>
<mml:mtr>
<mml:mtd>
<mml:mo>=</mml:mo>
<mml:msub>
<mml:mi>R</mml:mi>
<mml:mi>i</mml:mi>
</mml:msub>
<mml:mo>&#x00D7;</mml:mo>
<mml:msub>
<mml:mi>K</mml:mi>
<mml:mi>i</mml:mi>
</mml:msub>
<mml:mo>&#x00D7;</mml:mo>
<mml:mi>L</mml:mi>
<mml:msub>
<mml:mi>S</mml:mi>
<mml:mi>i</mml:mi>
</mml:msub>
<mml:mo>&#x00D7;</mml:mo>
<mml:mo stretchy="true">(</mml:mo>
<mml:mn>1</mml:mn>
<mml:mo>&#x2212;</mml:mo>
<mml:msub>
<mml:mi>C</mml:mi>
<mml:mi>i</mml:mi>
</mml:msub>
<mml:mo>&#x00D7;</mml:mo>
<mml:msub>
<mml:mi>P</mml:mi>
<mml:mi>i</mml:mi>
</mml:msub>
<mml:mo stretchy="true">)</mml:mo>
</mml:mtd>
</mml:mtr>
</mml:mtable>
</mml:math>
</inline-formula>
</td>
<td align="left" valign="top">
<inline-formula>
<mml:math id="M7">
<mml:msub>
<mml:mi>D</mml:mi>
<mml:mi mathvariant="italic">sci</mml:mi>
</mml:msub>
<mml:mo>=</mml:mo>
<mml:mi>S</mml:mi>
<mml:msub>
<mml:mi>C</mml:mi>
<mml:mi mathvariant="italic">ri</mml:mi>
</mml:msub>
<mml:mo>=</mml:mo>
<mml:msub>
<mml:mi>R</mml:mi>
<mml:mi>i</mml:mi>
</mml:msub>
<mml:mo>&#x00D7;</mml:mo>
<mml:msub>
<mml:mi>K</mml:mi>
<mml:mi>i</mml:mi>
</mml:msub>
<mml:mo>&#x00D7;</mml:mo>
<mml:mi>L</mml:mi>
<mml:msub>
<mml:mi>S</mml:mi>
<mml:mi>i</mml:mi>
</mml:msub>
<mml:mo>&#x00D7;</mml:mo>
<mml:msub>
<mml:mi>C</mml:mi>
<mml:mi>i</mml:mi>
</mml:msub>
<mml:mo>&#x00D7;</mml:mo>
<mml:msub>
<mml:mi>P</mml:mi>
<mml:mi>i</mml:mi>
</mml:msub>
</mml:math>
</inline-formula>
</td>
<td align="left" valign="top">S<sub>SCi</sub>, D<sub>SCi</sub> are the soil conservation supply for raster i, SC<sub>pi</sub>, SC<sub>ri</sub> are the potential loss and actual loss of raster i, R<sub>i</sub>, K<sub>i</sub>, LS<sub>i</sub> are the precipitation erosion factor, soil erosion factor, slope length-slope factor, C<sub>i</sub> is soil cover vs. anthropogenic management factor, P<sub>i</sub> is soil and water conservation measure implementation factor</td>
</tr>
<tr>
<td align="left" valign="top">Habitat quality</td>
<td align="left" valign="top">
<inline-formula>
<mml:math id="M8">
<mml:msub>
<mml:mi>Q</mml:mi>
<mml:mi mathvariant="italic">ij</mml:mi>
</mml:msub>
<mml:mo>=</mml:mo>
<mml:msub>
<mml:mi>H</mml:mi>
<mml:mi>j</mml:mi>
</mml:msub>
<mml:mo stretchy="true">[</mml:mo>
<mml:mn>1</mml:mn>
<mml:mo>&#x2212;</mml:mo>
<mml:mfrac>
<mml:msubsup>
<mml:mi>D</mml:mi>
<mml:mi mathvariant="italic">ij</mml:mi>
<mml:mi>z</mml:mi>
</mml:msubsup>
<mml:mrow>
<mml:msubsup>
<mml:mi>D</mml:mi>
<mml:mi mathvariant="italic">ij</mml:mi>
<mml:mi>z</mml:mi>
</mml:msubsup>
<mml:mo>+</mml:mo>
<mml:msup>
<mml:mi>K</mml:mi>
<mml:mi>z</mml:mi>
</mml:msup>
</mml:mrow>
</mml:mfrac>
<mml:mo stretchy="true">]</mml:mo>
</mml:math>
</inline-formula>
</td>
<td align="left" valign="top"><inline-formula>
<mml:math id="M9">
<mml:msub>
<mml:mi>D</mml:mi>
<mml:mi>i</mml:mi>
</mml:msub>
<mml:mo>=</mml:mo>
<mml:msub>
<mml:mi>C</mml:mi>
<mml:mi>i</mml:mi>
</mml:msub>
<mml:mo>+</mml:mo>
<mml:mo>log</mml:mo>
<mml:mo stretchy="true">(</mml:mo>
<mml:msub>
<mml:mi>P</mml:mi>
<mml:mi>i</mml:mi>
</mml:msub>
<mml:mo stretchy="true">)</mml:mo>
<mml:mo>+</mml:mo>
<mml:mo>log</mml:mo>
<mml:mo stretchy="true">(</mml:mo>
<mml:msub>
<mml:mi>E</mml:mi>
<mml:mi>i</mml:mi>
</mml:msub>
<mml:mo stretchy="true">)</mml:mo>
</mml:math>
</inline-formula> <inline-formula>
<mml:math id="M10">
<mml:mo>+</mml:mo>
<mml:mo>log</mml:mo>
<mml:mo stretchy="true">(</mml:mo>
<mml:msub>
<mml:mi>L</mml:mi>
<mml:mi>i</mml:mi>
</mml:msub>
<mml:mo stretchy="true">)</mml:mo>
</mml:math>
</inline-formula></td>
<td align="left" valign="top">Q<sub>ij</sub>, D<sub>i</sub> represent the supply and need of habitat quality for raster i within landscape type j; H<sub>j</sub> is the habitat suitability for j; C<sub>i</sub> is the construction land proportion of raster i, P<sub>i</sub> is the population density of raster i, E<sub>i</sub> is the GDP of raster i, L<sub>i</sub> is the nighttime lights intensity of raster i.</td>
</tr>
<tr>
<td align="left" valign="top">Water yield</td>
<td align="left" valign="top">
<inline-formula>
<mml:math id="M11">
<mml:mi>Y</mml:mi>
<mml:mo stretchy="true">(</mml:mo>
<mml:mi>x</mml:mi>
<mml:mo stretchy="true">)</mml:mo>
<mml:mo>=</mml:mo>
<mml:mo stretchy="true">(</mml:mo>
<mml:mn>1</mml:mn>
<mml:mo>&#x2212;</mml:mo>
<mml:mfrac>
<mml:mrow>
<mml:mi mathvariant="italic">AET</mml:mi>
<mml:mo stretchy="true">(</mml:mo>
<mml:mi>x</mml:mi>
<mml:mo stretchy="true">)</mml:mo>
</mml:mrow>
<mml:mrow>
<mml:mi>P</mml:mi>
<mml:mo stretchy="true">(</mml:mo>
<mml:mi>x</mml:mi>
<mml:mo stretchy="true">)</mml:mo>
</mml:mrow>
</mml:mfrac>
<mml:mo stretchy="true">)</mml:mo>
<mml:mo>&#x00D7;</mml:mo>
<mml:mi>P</mml:mi>
<mml:mo stretchy="true">(</mml:mo>
<mml:mi>x</mml:mi>
<mml:mo stretchy="true">)</mml:mo>
</mml:math>
</inline-formula>
</td>
<td align="left" valign="top">
<inline-formula>
<mml:math id="M12">
<mml:mtable columnalign="left" displaystyle="true">
<mml:mtr>
<mml:mtd>
<mml:msub>
<mml:mi>D</mml:mi>
<mml:mi mathvariant="italic">WYi</mml:mi>
</mml:msub>
<mml:mo>=</mml:mo>
<mml:msub>
<mml:mi>D</mml:mi>
<mml:mtext mathvariant="italic">domper</mml:mtext>
</mml:msub>
<mml:mo>&#x00D7;</mml:mo>
<mml:mi mathvariant="italic">Co</mml:mi>
<mml:msub>
<mml:mi>n</mml:mi>
<mml:mi>i</mml:mi>
</mml:msub>
</mml:mtd>
</mml:mtr>
<mml:mtr>
<mml:mtd>
<mml:mo>+</mml:mo>
<mml:msub>
<mml:mi>D</mml:mi>
<mml:mtext mathvariant="italic">agrper</mml:mtext>
</mml:msub>
<mml:mo>&#x00D7;</mml:mo>
<mml:mi mathvariant="italic">Ag</mml:mi>
<mml:msub>
<mml:mi>r</mml:mi>
<mml:mi>i</mml:mi>
</mml:msub>
<mml:mo>+</mml:mo>
<mml:msub>
<mml:mi>D</mml:mi>
<mml:mtext mathvariant="italic">ecoper</mml:mtext>
</mml:msub>
<mml:mo>&#x00D7;</mml:mo>
<mml:mi mathvariant="italic">Ec</mml:mi>
<mml:msub>
<mml:mi>o</mml:mi>
<mml:mi>i</mml:mi>
</mml:msub>
</mml:mtd>
</mml:mtr>
</mml:mtable>
</mml:math>
</inline-formula>
</td>
<td align="left" valign="top">AET(x) is actual evapotranspiration, P(x) is precipitation; D<sub>WYi</sub> is the demand for water yield services of raster i; D<sub>dom_per</sub>, D<sub>agr_per</sub>, D<sub>eco_per</sub> are land-averaged water for domestic production, agriculture, and ecology, respectively; C<sub>oni</sub>, A<sub>gri</sub>, and Ecoi are the areas of raster i construction land, cultivated land, and ecological land, respectively.</td>
</tr>
</tbody>
</table>
</table-wrap>
</sec>
</sec>
<sec id="sec11">
<label>2.4</label>
<title>Assessment of ES supply&#x2013;demand relationship</title>
<p>This study evaluated the matching status of key ES supply&#x2013;demand using both the supply&#x2013;demand difference and the supply&#x2013;demand ratio. The supply&#x2013;demand difference reflects the absolute gap in quantity, while the supply&#x2013;demand ratio characterizes the relative degree of matching. The formula is expressed as follows:</p>
<disp-formula id="E1">
<mml:math id="M13">
<mml:msub>
<mml:mi>SD</mml:mi>
<mml:mi mathvariant="normal">i</mml:mi>
</mml:msub>
<mml:mo>=</mml:mo>
<mml:mi>ES</mml:mi>
<mml:mo>_</mml:mo>
<mml:msub>
<mml:mi mathvariant="normal">S</mml:mi>
<mml:mi mathvariant="normal">i</mml:mi>
</mml:msub>
<mml:mo>&#x2212;</mml:mo>
<mml:mi>ES</mml:mi>
<mml:mo>_</mml:mo>
<mml:msub>
<mml:mi mathvariant="normal">D</mml:mi>
<mml:mi mathvariant="normal">i</mml:mi>
</mml:msub>
</mml:math>
</disp-formula>
<disp-formula id="E2">
<mml:math id="M14">
<mml:msub>
<mml:mtext>ESDR</mml:mtext>
<mml:mi mathvariant="normal">i</mml:mi>
</mml:msub>
<mml:mo>=</mml:mo>
<mml:mfrac>
<mml:mrow>
<mml:mi>ES</mml:mi>
<mml:mo>_</mml:mo>
<mml:msub>
<mml:mi mathvariant="normal">S</mml:mi>
<mml:mi mathvariant="normal">i</mml:mi>
</mml:msub>
<mml:mo>&#x2212;</mml:mo>
<mml:mi>ES</mml:mi>
<mml:mo>_</mml:mo>
<mml:msub>
<mml:mi mathvariant="normal">D</mml:mi>
<mml:mi mathvariant="normal">i</mml:mi>
</mml:msub>
</mml:mrow>
<mml:mrow>
<mml:mo stretchy="true">(</mml:mo>
<mml:mi>ES</mml:mi>
<mml:mo>_</mml:mo>
<mml:msub>
<mml:mi mathvariant="normal">S</mml:mi>
<mml:mi mathvariant="normal">i</mml:mi>
</mml:msub>
<mml:mo>+</mml:mo>
<mml:mi>ES</mml:mi>
<mml:mo>_</mml:mo>
<mml:msub>
<mml:mi mathvariant="normal">D</mml:mi>
<mml:mi mathvariant="normal">i</mml:mi>
</mml:msub>
<mml:mo stretchy="true">)</mml:mo>
<mml:mo>/</mml:mo>
<mml:mn>2</mml:mn>
</mml:mrow>
</mml:mfrac>
</mml:math>
</disp-formula>
<p>Where SD<sub>i</sub> and ESDR<sub>i</sub> represent the supply&#x2013;demand difference and the supply&#x2013;demand ratio, respectively. ES_S<sub>i</sub> and ES_D<sub>i</sub> denote the supply and demand for ES i in each evaluation unit. The supply&#x2013;demand relationship can be determined based on the value of ESDR<sub>i</sub>: ESs are in a state of surplus when ESDR &#x003E;0, in supplydemand equilibrium when ESDR&#x202F;=&#x202F;0, and in a state of deficit when ESDR &#x003C;0.</p>
</sec>
<sec id="sec12">
<label>2.5</label>
<title>Analysis of spatial patterns in ES supply&#x2013;demand relationship</title>
<p>This study employed bivariate spatial autocorrelation to analyze the spatial association patterns between ES supply and demand. First, the bivariate global Moran&#x2019;s I was used to assess the overall spatial correlation between the two variables and its statistical significance. Significance is determined via a Z-test: when Z&#x202F;&#x003E;&#x202F;1.96 (i.e., <italic>p</italic>&#x202F;&#x003C;&#x202F;0.05), the global spatial correlation is considered statistically significant. The formula is defined as follows:</p>
<disp-formula id="E3">
<mml:math id="M15">
<mml:mi mathvariant="normal">I</mml:mi>
<mml:mo>=</mml:mo>
<mml:mfrac>
<mml:mrow>
<mml:munderover>
<mml:mo movablelimits="false">&#x2211;</mml:mo>
<mml:mrow>
<mml:mi mathvariant="normal">i</mml:mi>
<mml:mo>=</mml:mo>
<mml:mn>1</mml:mn>
</mml:mrow>
<mml:mi mathvariant="normal">n</mml:mi>
</mml:munderover>
<mml:munderover>
<mml:mo movablelimits="false">&#x2211;</mml:mo>
<mml:mrow>
<mml:mi mathvariant="normal">j</mml:mi>
<mml:mo>=</mml:mo>
<mml:mn>1</mml:mn>
</mml:mrow>
<mml:mi mathvariant="normal">n</mml:mi>
</mml:munderover>
<mml:mo stretchy="true">(</mml:mo>
<mml:msub>
<mml:mi mathvariant="normal">X</mml:mi>
<mml:mi mathvariant="normal">i</mml:mi>
</mml:msub>
<mml:mo>&#x2212;</mml:mo>
<mml:mover accent="true">
<mml:mi mathvariant="normal">X</mml:mi>
<mml:mo stretchy="true">&#x00AF;</mml:mo>
</mml:mover>
<mml:mo stretchy="true">)</mml:mo>
<mml:mo stretchy="true">(</mml:mo>
<mml:mi mathvariant="normal">j</mml:mi>
<mml:mo>&#x2212;</mml:mo>
<mml:mover accent="true">
<mml:mi mathvariant="normal">Y</mml:mi>
<mml:mo stretchy="true">&#x00AF;</mml:mo>
</mml:mover>
<mml:mo stretchy="true">)</mml:mo>
</mml:mrow>
<mml:mrow>
<mml:msup>
<mml:mi mathvariant="normal">S</mml:mi>
<mml:mn>2</mml:mn>
</mml:msup>
<mml:munderover>
<mml:mo movablelimits="false">&#x2211;</mml:mo>
<mml:mrow>
<mml:mi mathvariant="normal">i</mml:mi>
<mml:mo>=</mml:mo>
<mml:mn>1</mml:mn>
</mml:mrow>
<mml:mi mathvariant="normal">n</mml:mi>
</mml:munderover>
<mml:munderover>
<mml:mo movablelimits="false">&#x2211;</mml:mo>
<mml:mrow>
<mml:mi mathvariant="normal">j</mml:mi>
<mml:mo>=</mml:mo>
<mml:mn>1</mml:mn>
</mml:mrow>
<mml:mi mathvariant="normal">n</mml:mi>
</mml:munderover>
<mml:msub>
<mml:mi mathvariant="normal">W</mml:mi>
<mml:mi>ij</mml:mi>
</mml:msub>
</mml:mrow>
</mml:mfrac>
</mml:math>
</disp-formula>
<disp-formula id="E4">
<mml:math id="M16">
<mml:mi mathvariant="normal">Z</mml:mi>
<mml:mo>=</mml:mo>
<mml:mfrac>
<mml:mrow>
<mml:mn>1</mml:mn>
<mml:mo>&#x2212;</mml:mo>
<mml:mi mathvariant="normal">E</mml:mi>
<mml:mo stretchy="true">(</mml:mo>
<mml:mi mathvariant="normal">I</mml:mi>
<mml:mo stretchy="true">)</mml:mo>
</mml:mrow>
<mml:msqrt>
<mml:mrow>
<mml:mi mathvariant="normal">V</mml:mi>
<mml:mo stretchy="true">(</mml:mo>
<mml:mi mathvariant="normal">I</mml:mi>
<mml:mo stretchy="true">)</mml:mo>
</mml:mrow>
</mml:msqrt>
</mml:mfrac>
</mml:math>
</disp-formula>
<p>Where I represents the bivariate global spatial autocorrelation coefficient, indicating the overall spatial correlation between variables x and y; x<sub>i</sub> and y<sub>j</sub> denote the observed values of the independent and dependent variables for spatial units i and j with different geographical attributes, respectively. S<sup>2</sup> is the sample variance, n is the total number of spatial units, W<sub>kj</sub> is the spatial weight matrix, Z is the statistical test result, E(I) is the mathematical expectation, and V(I) is the variance.</p>
<p>The bivariate global Moran&#x2019;s I can only reflect the overall spatial correlation but cannot capture localized clustering patterns. Therefore, bivariate local spatial autocorrelation was further employed to identify the types of spatial association between the two variables at the local level. The local results can be classified into four typical spatial association types: high supply&#x2013;high demand aggregation (H-H), low supply&#x2013;low demand aggregation (L-L), high supply&#x2013;low demand aggregation (H-L), and low supply&#x2013;high demand aggregation (L-H).</p>
</sec>
<sec id="sec13">
<label>2.6</label>
<title>Influencing factors of ES supply&#x2013;demand relationship</title>
<p>Existing studies have demonstrated that influencing factors and their regression coefficients often vary across geographical locations. Conventional multiple regression models can only provide global analysis and fail to reveal the spatial heterogeneity of these drivers. Therefore, this study first employed ordinary least squares (OLS) regression to test for multicollinearity among selected factors. Subsequently, a geographically weighted regression (GWR) model was applied to determine the spatial heterogeneity of these influencing factors (<xref ref-type="bibr" rid="ref19">Wang et al., 2023</xref>).</p>
<disp-formula id="E5">
<mml:math id="M17">
<mml:msub>
<mml:mi mathvariant="normal">y</mml:mi>
<mml:mi mathvariant="normal">i</mml:mi>
</mml:msub>
<mml:mo>=</mml:mo>
<mml:msub>
<mml:mi>&#x03B2;</mml:mi>
<mml:mn>0</mml:mn>
</mml:msub>
<mml:mo stretchy="true">(</mml:mo>
<mml:msub>
<mml:mi>&#x03BC;</mml:mi>
<mml:mi mathvariant="normal">i</mml:mi>
</mml:msub>
<mml:mo>,</mml:mo>
<mml:msub>
<mml:mi>&#x03C5;</mml:mi>
<mml:mi mathvariant="normal">i</mml:mi>
</mml:msub>
<mml:mo stretchy="true">)</mml:mo>
<mml:mo>+</mml:mo>
<mml:munderover>
<mml:mo movablelimits="false">&#x2211;</mml:mo>
<mml:mrow>
<mml:mi mathvariant="normal">i</mml:mi>
<mml:mo>=</mml:mo>
<mml:mn>1</mml:mn>
</mml:mrow>
<mml:mi mathvariant="normal">k</mml:mi>
</mml:munderover>
<mml:mspace width="0.25em"/>
<mml:msub>
<mml:mi>&#x03B2;</mml:mi>
<mml:mi mathvariant="normal">k</mml:mi>
</mml:msub>
<mml:mo stretchy="true">(</mml:mo>
<mml:msub>
<mml:mi>&#x03BC;</mml:mi>
<mml:mi mathvariant="normal">i</mml:mi>
</mml:msub>
<mml:mo>,</mml:mo>
<mml:msub>
<mml:mi>&#x03C5;</mml:mi>
<mml:mi mathvariant="normal">i</mml:mi>
</mml:msub>
<mml:mo stretchy="true">)</mml:mo>
<mml:msub>
<mml:mi mathvariant="normal">x</mml:mi>
<mml:mi>ik</mml:mi>
</mml:msub>
<mml:mo>+</mml:mo>
<mml:msub>
<mml:mi>&#x03B5;</mml:mi>
<mml:mi mathvariant="normal">i</mml:mi>
</mml:msub>
</mml:math>
</disp-formula>
<p>Where y<sub>i</sub> represents the observed value; &#x03B2;<sub>0</sub>(&#x03BC;<sub>i</sub>,&#x03BD;<sub>i</sub>) is the intercept; (&#x03BC;<sub>i</sub>,&#x03BD;<sub>i</sub>) denotes the geographic spatial coordinates representing that observation point; x<sub>ik</sub> indicates the value of the k-th independent variable measured at coordinate location (&#x03BC;<sub>i</sub>,&#x03BD;<sub>i</sub>); the regression coefficient &#x03B2;<sub>k</sub>(&#x03BC;<sub>i</sub>,&#x03BD;<sub>i</sub>) characterizes the degree of influence of the k-th influencing factor on the response variable y<sub>i</sub> at sample point i; &#x03B5;<sub>i</sub> is the random error term at the i-th sample point.</p>
</sec>
<sec id="sec14">
<label>2.7</label>
<title>Data sources</title>
<p>This study evaluates ES supply&#x2013;demand relationship in Guangxi using multi-source data, including land use and land cover change (LUCC), physical geography data, soil data, climate data, and socio-economic data. Detailed information on the data is presented in <xref ref-type="table" rid="tab2">Table 2</xref>. To meet the research objectives, LUCC data were reclassified into six categories: cultivated land, forest land, grassland, water bodies, construction land, and unused land. All datasets were uniformly projected to the Albers equal-area conic projection and resampled to a spatial resolution of 1&#x202F;km&#x202F;&#x00D7;&#x202F;1&#x202F;km.</p>
<table-wrap position="float" id="tab2">
<label>Table 2</label>
<caption>
<p>Data sources and descriptions.</p>
</caption>
<table frame="hsides" rules="groups">
<thead>
<tr>
<th align="left" valign="top">Data types</th>
<th align="left" valign="top">Specific data</th>
<th align="left" valign="top">Data sources</th>
<th align="center" valign="top">Spatial resolution</th>
</tr>
</thead>
<tbody>
<tr>
<td align="left" valign="top">Land data</td>
<td align="left" valign="top">Land use data</td>
<td align="left" valign="top">
<ext-link xlink:href="https://www.resdc.cn/" ext-link-type="uri">https://www.resdc.cn/</ext-link>
</td>
<td align="center" valign="top">30&#x202F;m</td>
</tr>
<tr>
<td align="left" valign="top" rowspan="3">Physical geographic data</td>
<td align="left" valign="top">DEM elevation data</td>
<td align="left" valign="top">
<ext-link xlink:href="https://www.resdc.cn/" ext-link-type="uri">https://www.resdc.cn/</ext-link>
</td>
<td align="center" valign="top">250&#x202F;m</td>
</tr>
<tr>
<td align="left" valign="top">NPP</td>
<td align="left" valign="top" rowspan="2">
<ext-link xlink:href="https://ladsweb.modaps.eosdis.nasa.gov/" ext-link-type="uri">https://ladsweb.modaps.eosdis.nasa.gov/</ext-link>
</td>
<td align="center" valign="top">500&#x202F;m</td>
</tr>
<tr>
<td align="left" valign="top">NVI</td>
<td align="center" valign="top">250&#x202F;m</td>
</tr>
<tr>
<td align="left" valign="top">Soil data</td>
<td align="left" valign="top">soil organic matter&#x3001;soil texture</td>
<td align="left" valign="top">
<ext-link xlink:href="http://data.tpdc.ac.cn/zh-hans/" ext-link-type="uri">http://data.tpdc.ac.cn/zh-hans/</ext-link>
</td>
<td align="center" valign="top">1:1000000</td>
</tr>
<tr>
<td align="left" valign="top" rowspan="2">Climate data</td>
<td align="left" valign="top">annual rainfall&#x3001;potential evapotranspiration&#x3001;temperature</td>
<td align="left" valign="top">
<ext-link xlink:href="https://www.resdc.cn/" ext-link-type="uri">https://www.resdc.cn/</ext-link>
</td>
<td align="center" valign="top">1&#x202F;km</td>
</tr>
<tr>
<td align="left" valign="top">monthly precipitation</td>
<td align="left" valign="top">
<ext-link xlink:href="https://data.tpdc.ac.cn/home" ext-link-type="uri">https://data.tpdc.ac.cn/home</ext-link>
</td>
<td align="center" valign="top">1&#x202F;km</td>
</tr>
<tr>
<td align="left" valign="top" rowspan="5">Socio-economic data</td>
<td align="left" valign="top">NPP-VIIRS</td>
<td align="left" valign="top">
<ext-link xlink:href="https://www.resdc.cn/" ext-link-type="uri">https://www.resdc.cn/</ext-link>
</td>
<td align="center" valign="top">500&#x202F;m</td>
</tr>
<tr>
<td align="left" valign="top">Population</td>
<td align="left" valign="top">
<ext-link xlink:href="https://www.worldpop.org/" ext-link-type="uri">https://www.worldpop.org/</ext-link>
</td>
<td align="center" valign="top">1&#x202F;km</td>
</tr>
<tr>
<td align="left" valign="top">grain production&#x3001;GDP</td>
<td align="left" valign="top">statistical yearbooks</td>
<td/>
</tr>
<tr>
<td align="left" valign="top">modulus of water yield</td>
<td align="left" valign="top">Water resources bulletin</td>
<td align="center" valign="top">_</td>
</tr>
<tr>
<td align="left" valign="top">CO<sub>2</sub> emissions</td>
<td align="left" valign="top">CHRED3.0 database</td>
<td/>
</tr>
</tbody>
</table>
</table-wrap>
</sec>
</sec>
<sec sec-type="results" id="sec15">
<label>3</label>
<title>Results</title>
<sec id="sec16">
<label>3.1</label>
<title>The spatial distribution characteristics of ES supply and demand</title>
<sec id="sec17">
<label>3.1.1</label>
<title>The spatial distribution characteristics of ES supply</title>
<p>In 2020, the total supply of ESs in Guangxi was quantified as follows: food production at 1.37&#x202F;&#x00D7;&#x202F;10<sup>7</sup>&#x202F;t, carbon sequestration at 1.48&#x202F;&#x00D7;&#x202F;10<sup>10</sup>&#x202F;t, soil conservation at 5.14&#x202F;&#x00D7;&#x202F;10<sup>8</sup>&#x202F;t, water yield at 2.02&#x202F;&#x00D7;&#x202F;10<sup>11</sup>&#x202F;m<sup>3</sup>, with a mean habitat quality index of 0.37. The supply of all services exhibited pronounced spatial heterogeneity (<xref ref-type="fig" rid="fig2">Figure 2</xref>).</p>
<fig position="float" id="fig2">
<label>Figure 2</label>
<caption>
<p>Spatial distribution of ES supply in Guangxi.</p>
</caption>
<graphic xlink:href="fsufs-10-1757502-g002.tif" mimetype="image" mime-subtype="tiff">
<alt-text content-type="machine-generated">Grid of fifteen maps compares food production, carbon sequestration, soil conservation, habitat quality, and water yield for a region in southwest China at municipal, county, and grid scales. Each map uses shades of green to display spatial distribution differences based on scale, with darker shades indicating higher values. City or county names are labeled on the municipal-scale maps. Legends and scales are included for each map, and north is indicated with arrows.</alt-text>
</graphic>
</fig>
<p>At the municipal scale, high food supply was concentrated in Nanning, Guilin, Yulin, and Guigang, which together accounted for 51.93% of the total provincial grain output, aligning with key agricultural planning zones. In contrast, cities such as Liuzhou and Laibin showed lower supply levels due to limited cultivated land or an economic structure oriented toward secondary and tertiary industries. Beihai and Fangchenggang exhibited the weakest supply capacity, constrained by limited planting area. Carbon sequestration, soil conservation, and habitat quality displayed highly similar spatial patterns. The core high-value areas were Baise and Hechi within the western and northern ecological barrier zone, which contributed 28.33 and 42.80% of the provincial totals for carbon sequestration and soil conservation, respectively. This underscores the pivotal role of key ecological source areas in regional service supply. Water yield exhibited a clear decreasing gradient from north to south. High-value areas were located along the Guilin-Baise corridor, characterized by abundant precipitation and high vegetation coverage. Guilin and Hechi alone accounted for 35.26% of the total provincial water yield, whereas the southern coastal cities of Fangchenggang and Beihai contributed only 4.23%.</p>
<p>At the county scale, key supply patterns and local variations obscured by municipal-scale averaging became evident. Considerable polarization was observed even within the same municipal administrative unit. For instance, food production remained highly concentrated in major agricultural counties such as Quanzhou County under Guilin City, whereas core urban districts like Xiufeng District in Guilin exhibited extremely weak supply, reaching only 2.1&#x202F;&#x00D7;&#x202F;10<sup>3</sup>&#x202F;t. High-value areas for carbon sequestration, soil conservation, and habitat quality were mainly distributed in counties in northwestern and northeastern Guangxi, such as Tianlin County in Baise and Huanjiang Maonan Autonomous County in Hechi, representing core supply zones for these ecosystem services. The north&#x2013;south differentiation in water yield remained evident, with high-value counties such as Rongshui Miao Autonomous County and Quanzhou County located in the northern mountainous areas. Analysis at this scale provides direct spatial targets for implementing differentiated ecological management policies at the county level.</p>
<p>At the grid scale, micro-scale heterogeneity previously masked by administrative boundaries was revealed. Food supply showed a north-high&#x2013;south-low spatial trend, contrasting with the southeastern dominance observed at municipal and county scales, which may be related to subtle differences in local climate, field management, and crop structure. High-value areas for carbon sequestration, soil conservation, and habitat quality were concentrated in key ecological patches such as forested land. Water yield generally decreased from north to south, with several high-value units identified in topographically favorable areas such as coastal zones and river valleys, reflecting significant regulation by micro-topography on the water yield process.</p>
</sec>
<sec id="sec18">
<label>3.1.2</label>
<title>The spatial distribution characteristics of ES demand</title>
<p>In 2020, the total demand for various ecosystem services in Guangxi was as follows: food production at 6.75&#x202F;&#x00D7;&#x202F;10<sup>6</sup>&#x202F;t, carbon sequestration at 4.54&#x202F;&#x00D7;&#x202F;10<sup>9</sup>&#x202F;t, soil conservation at 3.01&#x202F;&#x00D7;&#x202F;10<sup>7</sup>&#x202F;t, water yield at 2.29&#x202F;&#x00D7;&#x202F;10<sup>11</sup>&#x202F;m<sup>3</sup>, with a mean habitat quality index of 0.47. The spatial heterogeneity of service demand was significant (<xref ref-type="fig" rid="fig3">Figure 3</xref>).</p>
<fig position="float" id="fig3">
<label>Figure 3</label>
<caption>
<p>Spatial distribution of ES demand in Guangxi.</p>
</caption>
<graphic xlink:href="fsufs-10-1757502-g003.tif" mimetype="image" mime-subtype="tiff">
<alt-text content-type="machine-generated">Matrix of fifteen choropleth maps compares spatial distributions of ecosystem services&#x2014;food production, carbon sequestration, soil conservation, habitat quality, and water yield&#x2014;across municipal, county, and grid scales for a region of China, with darker greens indicating higher values and different scales and spatial resolutions reflecting varying patterns of service provision.</alt-text>
</graphic>
</fig>
<p>At the municipal scale, the demand for food production was highest in Nanning and Yulin, accounting for 26.36% of the total provincial demand, reflecting the population and economic agglomeration effects of these urban growth poles. Carbon sequestration demand exhibited differentiated distribution patterns, with high-demand areas such as Laibin and Guigang each exceeding 3.55&#x202F;&#x00D7;&#x202F;10<sup>7</sup>&#x202F;t. This pattern was primarily attributable to the concentration of high-energy-consuming industries, notably mining and building materials, within these regions, which had resulted in elevated carbon emissions. Concurrently, elevated carbon sequestration demand was also observed in Hezhou and Baise. Hezhou, as a vital ecological functional zone in central-northeastern Guangxi, and Baise, serving as a crucial ecological barrier in northwestern Guangxi, exhibit elevated carbon sequestration demands that largely reflect their strategic positioning and conservation requirements within the provincial ecological security framework for maintaining and enhancing carbon sink functions. In contrast, Liuzhou, the largest industrial center, showed relatively lower demand at 2.68&#x202F;&#x00D7;&#x202F;10<sup>7</sup>&#x202F;t, attributable to its ongoing green and low-carbon industrial transformation. High demand for soil conservation was concentrated in western and northern Guangxi, such as Baise and Hechi. These areas are characterized by typical karst landscapes with exposed bedrock, shallow soil layers, and consequently high soil erosion risks. Notably, Baise recorded the highest soil conservation demand, accounting for 15.43% of the total provincial demand. The habitat quality demand index exceeded 0.8 in areas such as Baise, Nanning, and Guilin, indicating substantial human-induced pressure on natural habitats. Water yield demand was strongly correlated with economic development and agricultural scale. As the economic and demographic cores, Nanning and Guilin showed the highest demand, whereas Beihai and Fangchenggang, with port- and tourism-oriented industrial structures, registered the lowest demand.</p>
<p>At the county scale, significant disparities within administrative units were revealed. Taking grain demand as an example, municipal-scale assessments indicate Beihai City&#x2019;s overall demand is relatively low at 20.58&#x202F;&#x00D7;&#x202F;10<sup>4</sup>&#x202F;t. However, county-scale analysis revealed that Hepu County, under its jurisdiction, exhibited notably high demand, reaching 12.23&#x202F;&#x00D7;&#x202F;10<sup>4</sup>&#x202F;t, ranking among the highest across the province. Across the province, food demand is highly concentrated in major plain agricultural production areas such as Guigang under Guiping City and Bobai County underYulin, while regions like Dongxing City, Gangkou District, and Yanshan District exhibit extremely low demand. Soil conservation demand in ecologically fragile mountainous counties, such as Tianlin County, exceeds that in urban core areas like Diecai District under Guilin by more than a thousandfold, highlighting the rigid constraints imposed by ecological conditions on demand. High-value zones of water yield demand are predominantly distributed across agriculture-dominated counties in central and southeastern Guangxi, characterized by plains and hills with dense populations, leading to elevated water requirements. Conversely, low-value zones are concentrated in the western and northern mountainous regions, where development intensity is low and agricultural water use is limited.</p>
<p>At the grid scale, demand exhibited fine-grained spatial clustering that corresponded closely with underlying geographical factors. Food demand formed distinct high-value belts in the urbanized central and southeastern regions, closely aligning with grids of population density. High-value patches of carbon demand were found not only in industrial zones but also widely across agriculturally active hilly areas. The spatial patterns of soil conservation demand and supply were similar overall, showing higher levels in the west and north compared to the central and eastern regions. Habitat quality demand displayed a &#x201C;high in the center, lower in the periphery&#x201D; spatial structure, with high-demand grids concentrated in areas undergoing agricultural expansion and urban construction. High water yield demand was not limited to major urban built-up areas but was also distributed across agricultural land, accurately reflecting the spatial distribution of agricultural and domestic water use.</p>
</sec>
<sec id="sec19">
<label>3.1.3</label>
<title>The spatial distribution characteristics of ES supply&#x2013;demand relationship</title>
<p>Analysis of supply&#x2013;demand relationships indicates that the spatial pattern of ES supply&#x2013;demand matching in Guangxi during 2020 exhibits strong scale dependency.</p>
<p>At the municipal scale, to align with macro-management requirements, this study employs actual supply&#x2013;demand differentials for assessment. Since habitat quality is a dimensionless index, its supply&#x2013;demand ratio is used for characterisation. Results indicate that food production exhibits a surplus across all prefecture-level cities, with particularly pronounced surpluses in basin-plain agricultural hubs such as Nanning, Guilin, Yulin, and Guigang. In contrast, Fangchenggang and Beihai exhibit smaller supply&#x2013;demand surpluses, primarily due to their location within the Beibu Gulf coastal ecological functional zone. These cities have limited arable land resources, smaller-scale agricultural production, and industrial structures dominated by non-agricultural sectors such as ports and tourism, resulting in relatively weaker grain supply capacity. The high-value zones for carbon sequestration, soil conservation, and habitat quality supply&#x2013;demand surpluses largely coincide with their respective supply surplus areas. Carbon sequestration services exhibited deficits solely in Beihai City. Soil conservation services demonstrated surpluses across all prefecture-level cities. Habitat quality services showed deficits in multiple cities, particularly in rapidly developing economic centres such as Nanning, Liuzhou, and Yulin, where the supply&#x2013;demand ratio ranged between &#x2212;0.25&#x202F;~&#x202F;0. This indicates that accelerated urbanization has led to significant degradation of natural ecological functions. Water yield services exhibited deficits in nine central and southern prefecture-level cities including Nanning, Guigang, and Yulin, highlighting water resource pressures in urbanized and agricultural areas with high water consumption (<xref ref-type="fig" rid="fig4">Figure 4</xref>).</p>
<fig position="float" id="fig4">
<label>Figure 4</label>
<caption>
<p>Spatial distribution of ES supply&#x2013;demand relationship in Guangxi.</p>
</caption>
<graphic xlink:href="fsufs-10-1757502-g004.tif" mimetype="image" mime-subtype="tiff">
<alt-text content-type="machine-generated">Sixteen-panel data visualization compares ecosystem service indicators&#x2014;food production, carbon sequestration, soil conservation, habitat quality, and water yield&#x2014;across municipal, county, and grid scales for a region. Darker greens represent higher values, with each map including a legend, labels, directional arrow, and consistent geographic boundaries. Scale differences highlight spatial distribution variation of each indicator.</alt-text>
</graphic>
</fig>
<p>Analysis of the supply&#x2013;demand ratio at the county scale reveals localised contradictions obscured by the municipal-scale conclusion of an overall surplus. Grain production exhibits a supply surplus in Wuming District under Nanning, Guiping City and Pingnan County under Guigang, and Bobai County under Yulin, whereas widespread deficits are evident in Qingxiu District under Nanning, Yuzhou District under Yulin, and Diecai and Qixing Districts under Guilin. This reflects the displacement effect of urbanization on cultivated land resources. Deficits in carbon sequestration services are concentrated in centrally located counties with higher industrialisation and urbanization levels, as well as in certain coastal regions. Deficits in soil conservation, habitat quality, and water yield services are particularly pronounced in central and southern areas, whereas western and northern mountainous regions exhibit surpluses due to relatively stable ecological conditions.</p>
<p>Grid-scale analysis reveals micro-patterns of supply&#x2013;demand relationships across continuous spatial domains. Grain production demonstrates surpluses across most regions, though deficits emerge in certain southern and central grid cells. Soil conservation services exhibit relative equilibrium in central and northwestern Guangxi, whilst deficits occur in grids with high soil erosion risk in the south and southeast. Habitat quality and water yield services face widespread deficits in southeastern and southern grids, highly coinciding with areas of intensive agricultural development and urban land expansion.</p>
</sec>
</sec>
<sec id="sec20">
<label>3.2</label>
<title>Spatial correlation characteristics of ES supply and demand</title>
<p>Based on bivariate global spatial autocorrelation analysis, this study reveals that the spatial differentiation of ES supply and demand patterns exhibits significant scale dependence. As the analysis scale was progressively refined from municipal-scale and county-scale to grid-scale, the spatial correlation patterns underwent marked transitions. Specifically, at the municipal scale, soil conservation and habitat quality showed significant positive spatial clustering, followed by carbon sequestration services, while food production and water yield services showed no significant spatial autocorrelation. At the county scale, soil conservation maintained relatively strong positive spatial clustering, followed by food services, while water yield services shifted to a significant negative spatial correlation. Further refinement to the grid scale revealed negative spatial clustering for both soil conservation and habitat quality supply&#x2013;demand relationships, while food production displayed no significant spatial autocorrelation. Notably, soil conservation exhibited significant spatial autocorrelation across all three scales, although the strength of this association weakened with increasing resolution, and the clustering direction shifted from positive to negative. Similarly, the supply&#x2013;demand relationship for habitat quality transitioned from positive clustering at the municipal scale to negative clustering at the grid scale (<xref ref-type="table" rid="tab3">Table 3</xref>).</p>
<table-wrap position="float" id="tab3">
<label>Table 3</label>
<caption>
<p>Moran&#x2019;s I test for ES supply&#x2013;demand relationship at the state, metropolitan and grid scales.</p>
</caption>
<table frame="hsides" rules="groups">
<thead>
<tr>
<th align="left" valign="top">Scales</th>
<th align="left" valign="top">ESs</th>
<th align="center" valign="top">Moran&#x2019;s I</th>
<th align="center" valign="top">z-value</th>
<th align="center" valign="top"><italic>p</italic>-value</th>
<th align="center" valign="top">HH</th>
<th align="center" valign="top">HL</th>
<th align="center" valign="top">LH</th>
<th align="center" valign="top">LL</th>
</tr>
</thead>
<tbody>
<tr>
<td align="left" valign="top" rowspan="5">Municipal scale</td>
<td align="left" valign="top">Food production</td>
<td align="char" valign="top" char=".">&#x2212;0.051</td>
<td align="char" valign="top" char=".">&#x2212;1.04</td>
<td align="char" valign="top" char=".">0.16</td>
<td align="char" valign="top" char=".">14.29%</td>
<td align="char" valign="top" char=".">0.00%</td>
<td align="char" valign="top" char=".">0.00%</td>
<td align="char" valign="top" char=".">21.43%</td>
</tr>
<tr>
<td align="left" valign="top">Carbon sequestration</td>
<td align="char" valign="top" char=".">0.255</td>
<td align="char" valign="top" char=".">2.54</td>
<td align="char" valign="top" char=".">0.042</td>
<td align="char" valign="top" char=".">0.00%</td>
<td align="char" valign="top" char=".">7.14%</td>
<td align="char" valign="top" char=".">7.14%</td>
<td align="char" valign="top" char=".">14.29%</td>
</tr>
<tr>
<td align="left" valign="top">Soil conservation</td>
<td align="char" valign="top" char=".">0.556</td>
<td align="char" valign="top" char=".">2.55</td>
<td align="char" valign="top" char=".">0.016</td>
<td align="char" valign="top" char=".">7.14%</td>
<td align="char" valign="top" char=".">0.00%</td>
<td align="char" valign="top" char=".">0.00%</td>
<td align="char" valign="top" char=".">14.29%</td>
</tr>
<tr>
<td align="left" valign="top">Habitat quality</td>
<td align="char" valign="top" char=".">0.415</td>
<td align="char" valign="top" char=".">1.96</td>
<td align="char" valign="top" char=".">0.04</td>
<td align="char" valign="top" char=".">14.29%</td>
<td align="char" valign="top" char=".">0.00%</td>
<td align="char" valign="top" char=".">0.00%</td>
<td align="char" valign="top" char=".">42.86%</td>
</tr>
<tr>
<td align="left" valign="top">Water yield</td>
<td align="char" valign="top" char=".">&#x2212;0.026</td>
<td align="char" valign="top" char=".">&#x2212;0.06</td>
<td align="char" valign="top" char=".">0.48</td>
<td align="char" valign="top" char=".">7.14%</td>
<td align="char" valign="top" char=".">0.00%</td>
<td align="char" valign="top" char=".">0.00%</td>
<td align="char" valign="top" char=".">21.43%</td>
</tr>
<tr>
<td align="left" valign="top" rowspan="5">County scale</td>
<td align="left" valign="top">Food production</td>
<td align="char" valign="top" char=".">0.262</td>
<td align="char" valign="top" char=".">5.77</td>
<td align="char" valign="top" char=".">0.001</td>
<td align="char" valign="top" char=".">9.91%</td>
<td align="char" valign="top" char=".">5.41%</td>
<td align="char" valign="top" char=".">5.41%</td>
<td align="char" valign="top" char=".">12.61%</td>
</tr>
<tr>
<td align="left" valign="top">Carbon sequestration</td>
<td align="char" valign="top" char=".">&#x2212;0.03</td>
<td align="char" valign="top" char=".">&#x2212;1.95</td>
<td align="char" valign="top" char=".">0.07</td>
<td align="char" valign="top" char=".">4.50%</td>
<td align="char" valign="top" char=".">4.50%</td>
<td align="char" valign="top" char=".">4.50%</td>
<td align="char" valign="top" char=".">15.32%</td>
</tr>
<tr>
<td align="left" valign="top">Soil conservation</td>
<td align="char" valign="top" char=".">0.447</td>
<td align="char" valign="top" char=".">10.13</td>
<td align="char" valign="top" char=".">0.001</td>
<td align="char" valign="top" char=".">11.71%</td>
<td align="char" valign="top" char=".">7.21%</td>
<td align="char" valign="top" char=".">0.00%</td>
<td align="char" valign="top" char=".">18.92%</td>
</tr>
<tr>
<td align="left" valign="top">Habitat quality</td>
<td align="char" valign="top" char=".">0.021</td>
<td align="char" valign="top" char=".">2.29</td>
<td align="char" valign="top" char=".">0.063</td>
<td align="char" valign="top" char=".">2.70%</td>
<td align="char" valign="top" char=".">5.41%</td>
<td align="char" valign="top" char=".">0.90%</td>
<td align="char" valign="top" char=".">5.41%</td>
</tr>
<tr>
<td align="left" valign="top">Water yield</td>
<td align="char" valign="top" char=".">&#x2212;0.131</td>
<td align="char" valign="top" char=".">2.05</td>
<td align="char" valign="top" char=".">0.043</td>
<td align="char" valign="top" char=".">2.70%</td>
<td align="char" valign="top" char=".">7.21%</td>
<td align="char" valign="top" char=".">5.41%</td>
<td align="char" valign="top" char=".">3.60%</td>
</tr>
<tr>
<td align="left" valign="top" rowspan="5">Grid scale</td>
<td align="left" valign="top">Food production</td>
<td align="char" valign="top" char=".">0.008</td>
<td align="char" valign="top" char=".">0.22</td>
<td align="char" valign="top" char=".">0.79</td>
<td align="char" valign="top" char=".">4.21%</td>
<td align="char" valign="top" char=".">4.79%</td>
<td align="char" valign="top" char=".">1.35%</td>
<td align="char" valign="top" char=".">2.78%</td>
</tr>
<tr>
<td align="left" valign="top">Carbon sequestration</td>
<td align="char" valign="top" char=".">0.089</td>
<td align="char" valign="top" char=".">0.41</td>
<td align="char" valign="top" char=".">0.34</td>
<td align="char" valign="top" char=".">5.13%</td>
<td align="char" valign="top" char=".">6.64%</td>
<td align="char" valign="top" char=".">2.78%</td>
<td align="char" valign="top" char=".">6.39%</td>
</tr>
<tr>
<td align="left" valign="top">Soil conservation</td>
<td align="char" valign="top" char=".">&#x2212;0.023</td>
<td align="char" valign="top" char=".">25.06</td>
<td align="char" valign="top" char=".">0.001</td>
<td align="char" valign="top" char=".">1.85%</td>
<td align="char" valign="top" char=".">2.27%</td>
<td align="char" valign="top" char=".">3.36%</td>
<td align="char" valign="top" char=".">2.86%</td>
</tr>
<tr>
<td align="left" valign="top">Habitat quality</td>
<td align="char" valign="top" char=".">&#x2212;0.103</td>
<td align="char" valign="top" char=".">&#x2212;7.73</td>
<td align="char" valign="top" char=".">0.001</td>
<td align="char" valign="top" char=".">1.01%</td>
<td align="char" valign="top" char=".">3.95%</td>
<td align="char" valign="top" char=".">6.73%</td>
<td align="char" valign="top" char=".">2.78%</td>
</tr>
<tr>
<td align="left" valign="top">Water yield</td>
<td align="char" valign="top" char=".">0.013</td>
<td align="char" valign="top" char=".">0.23</td>
<td align="char" valign="top" char=".">0.41</td>
<td align="char" valign="top" char=".">2.78%</td>
<td align="char" valign="top" char=".">3.28%</td>
<td align="char" valign="top" char=".">2.78%</td>
<td align="char" valign="top" char=".">3.28%</td>
</tr>
</tbody>
</table>
</table-wrap>
<p>Based on bivariate local spatial autocorrelation analysis, this study characterized the multi-scale clustering patterns and mismatch structures of ES relationships. At the municipal scale, the analysis identified holistic spatial association patterns based on administrative units. Soil conservation and habitat quality were predominantly characterised by L-L clustering, accounting for 14.29 and 42.86% respectively, and were concentrated in Qinzhou and Yulin cities in southern Guangxi. This was followed by H-H clustering, representing 7.14 and 14.29% respectively, primarily distributed in Hechi and Liuzhou cities, reflecting the spatial agglomeration of high-functionality ecological zones. Carbon sequestration services were also dominated by L-L clustering (14.29%), located in Qinzhou and Fangchenggang; mismatched H-L and L-H zones each accounted for 7.14% of the area, revealing spatial separation of carbon sources and sinks at the municipal scale.</p>
<p>At the county scale, spatial patterns not only refined municipal-scale findings but also exhibited significant variations in distribution and clustering types. Food production demonstrated clear positive clustering, with H-H clusters covering 9.91% of the area and concentrated in the southeastern agricultural core region. L-L clusters were most extensive, accounting for 12.61% of the area and predominantly in western mountainous regions. L-H clusters were distributed along the periphery of H-H clusters, while H-L clusters aggregated in the northeast. Soil conservation H-H clusters were concentrated in western Guangxi, increasing to 11.71% coverage, identifying hotspot counties with highly concentrated soil erosion risks and management needs; L-L clusters accounted for 18.92%, exhibiting a banded distribution across the central region. Water yield services exhibited a significant negative correlation, with the &#x201C;H-L mismatch&#x201D; type accounting for the highest proportion at 7.21%, identifying key targets for cross-county water resource allocation and water conservation management.</p>
<p>At the grid scale, soil conservation was dominated by the L-H cluster, accounting for 3.36%, pinpointing spatial targets where soil and water conservation projects require precise implementation on specific plots. Habitat quality exhibited the highest L-H ratio at 6.73%, concentrated in central and eastern Guangxi, providing precise targets for ecological restoration and green infrastructure planning. Food production and water yield services showed no significant spatial autocorrelation at the grid scale, indicating that macro-level spatial patterns break down at this resolution. This suggests management of such services should rely more on micro-level surveys and process mechanism analysis (<xref ref-type="fig" rid="fig5">Figure 5</xref>).</p>
<fig position="float" id="fig5">
<label>Figure 5</label>
<caption>
<p>Spatial association types of ES supply&#x2013;demand.</p>
</caption>
<graphic xlink:href="fsufs-10-1757502-g005.tif" mimetype="image" mime-subtype="tiff">
<alt-text content-type="machine-generated">Matrix of maps compares spatial distributions for five ecosystem services (food production, carbon sequestration, soil conservation, habitat quality, water yield) across three scales (municipal, county, grid). Colors indicate statistical significance and spatial patterns: red for high-high, blue for low-low, light blue for low-high, pink for high-low, and gray for not significant. Each row represents an ecosystem service, and each column represents a spatial scale, displaying geographic clustering patterns and heterogeneity within a regional boundary. Scale bar and north arrow included for spatial reference.</alt-text>
</graphic>
</fig>
</sec>
<sec id="sec21">
<label>3.3</label>
<title>Analysis of influencing factors on ES supply&#x2013;demand relationship</title>
<p>Based on existing research (<xref ref-type="bibr" rid="ref14">Mashizi and Sharafatmandrad, 2021</xref>), and considering data availability, this study comprehensively selects 10 influencing factors from three dimensions&#x2014;natural, land-use, and socioeconomic&#x2014;for analysis (<xref ref-type="table" rid="tab4">Table 4</xref>).</p>
<table-wrap position="float" id="tab4">
<label>Table 4</label>
<caption>
<p>Influencing factors of ES supply&#x2013;demand relationship.</p>
</caption>
<table frame="hsides" rules="groups">
<thead>
<tr>
<th align="left" valign="top">Typology</th>
<th align="left" valign="top">Factor</th>
<th align="left" valign="top">Abbreviation</th>
</tr>
</thead>
<tbody>
<tr>
<td align="left" valign="top" rowspan="4">Natural conditions</td>
<td align="left" valign="top">Precipitation</td>
<td align="left" valign="top">Pre</td>
</tr>
<tr>
<td align="left" valign="top">Temperature</td>
<td align="left" valign="top">Tem</td>
</tr>
<tr>
<td align="left" valign="top">Slope</td>
<td align="left" valign="top">Slo</td>
</tr>
<tr>
<td align="left" valign="top">Evaluation</td>
<td align="left" valign="top">DEM</td>
</tr>
<tr>
<td align="left" valign="top" rowspan="3">Land use condition</td>
<td align="left" valign="top">Cultivated land proportion</td>
<td align="left" valign="top">Cul</td>
</tr>
<tr>
<td align="left" valign="top">Forest land proportion</td>
<td align="left" valign="top">For</td>
</tr>
<tr>
<td align="left" valign="top">Construction land proportion</td>
<td align="left" valign="top">Con</td>
</tr>
<tr>
<td align="left" valign="top" rowspan="3">Socioeconomic conditions</td>
<td align="left" valign="top">Population density</td>
<td align="left" valign="top">Pop</td>
</tr>
<tr>
<td align="left" valign="top">Nighttime light intensity</td>
<td align="left" valign="top">NL</td>
</tr>
<tr>
<td align="left" valign="top">GDP</td>
<td align="left" valign="top">GDP</td>
</tr>
</tbody>
</table>
</table-wrap>
<p>Utilizing the ArcGIS platform, both Ordinary Least Squares (OLS) and Generalised Regression Analysis (GWR) models were employed to analyse the spatial heterogeneity of ecosystem service supply&#x2013;demand relationships driven by factors at city, county, and grid scales. The OLS regression results indicated that the variance inflation factor (VIF) for all independent variables relative to the five ecosystem service supply&#x2013;demand ratios remained below 10, confirming the absence of multicollinearity among variables. Model comparison results (<xref ref-type="table" rid="tab5">Table 5</xref>) demonstrate that the GWR model significantly enhances explanatory power compared to OLS. Furthermore, spatial autocorrelation tests for GWR residuals failed to reach significance levels, indicating that the GWR model effectively captures spatial heterogeneity and eliminates systematic errors, confirming its appropriate specification.</p>
<table-wrap position="float" id="tab5">
<label>Table 5</label>
<caption>
<p>Comparison of GWR and OLS model parameters.</p>
</caption>
<table frame="hsides" rules="groups">
<thead>
<tr>
<th align="left" valign="top" rowspan="2">Scales</th>
<th align="left" valign="top" rowspan="2">ESs</th>
<th align="center" valign="top" colspan="3">OLS</th>
<th align="center" valign="top" colspan="3">GWR</th>
</tr>
<tr>
<th align="center" valign="top">R<sup>2</sup></th>
<th align="center" valign="top">Adjusted R<sup>2</sup></th>
<th align="center" valign="top">AICc</th>
<th align="center" valign="top">R<sup>2</sup></th>
<th align="center" valign="top">Adjusted R<sup>2</sup></th>
<th align="center" valign="top">AICc</th>
</tr>
</thead>
<tbody>
<tr>
<td align="left" valign="top" rowspan="5">Municipal scale</td>
<td align="left" valign="top">Food production</td>
<td align="char" valign="middle" char=".">0.04</td>
<td align="char" valign="middle" char=".">&#x2212;0.14</td>
<td align="char" valign="middle" char=".">20.55</td>
<td align="char" valign="middle" char=".">0.64</td>
<td align="char" valign="middle" char=".">0.4</td>
<td align="char" valign="middle" char=".">17.67</td>
</tr>
<tr>
<td align="left" valign="top">Carbon sequestration</td>
<td align="char" valign="middle" char=".">0.37</td>
<td align="char" valign="middle" char=".">0.36</td>
<td align="char" valign="middle" char=".">290.45</td>
<td align="char" valign="middle" char=".">0.64</td>
<td align="char" valign="middle" char=".">0.4</td>
<td align="char" valign="middle" char=".">13.77</td>
</tr>
<tr>
<td align="left" valign="top">Soil conservation</td>
<td align="char" valign="middle" char=".">0.31</td>
<td align="char" valign="middle" char=".">0.39</td>
<td align="char" valign="middle" char=".">309.23</td>
<td align="char" valign="middle" char=".">0.64</td>
<td align="char" valign="middle" char=".">0.4</td>
<td align="char" valign="middle" char=".">17.67</td>
</tr>
<tr>
<td align="left" valign="top">Habitat quality</td>
<td align="char" valign="middle" char=".">0.33</td>
<td align="char" valign="middle" char=".">&#x2212;0.08</td>
<td align="char" valign="middle" char=".">301.69</td>
<td align="char" valign="middle" char=".">0.37</td>
<td align="char" valign="middle" char=".">&#x2212;0.06</td>
<td align="char" valign="middle" char=".">21.73</td>
</tr>
<tr>
<td align="left" valign="top">Water yield</td>
<td align="char" valign="middle" char=".">0.59</td>
<td align="char" valign="middle" char=".">0.43</td>
<td align="char" valign="middle" char=".">307.18</td>
<td align="char" valign="middle" char=".">0.70</td>
<td align="char" valign="middle" char=".">0.49</td>
<td align="char" valign="middle" char=".">11.38</td>
</tr>
<tr>
<td align="left" valign="top" rowspan="5">County scale</td>
<td align="left" valign="top">Food production</td>
<td align="char" valign="middle" char=".">0.25</td>
<td align="char" valign="middle" char=".">0.18</td>
<td align="char" valign="middle" char=".">&#x2212;84.64</td>
<td align="char" valign="middle" char=".">0.37</td>
<td align="char" valign="middle" char=".">0.24</td>
<td align="char" valign="middle" char=".">&#x2212;89.73</td>
</tr>
<tr>
<td align="left" valign="top">Carbon sequestration</td>
<td align="char" valign="middle" char=".">0.49</td>
<td align="char" valign="middle" char=".">0.47</td>
<td align="char" valign="middle" char=".">&#x2212;144.05</td>
<td align="char" valign="middle" char=".">0.50</td>
<td align="char" valign="middle" char=".">0.48</td>
<td align="char" valign="middle" char=".">&#x2212;153.06</td>
</tr>
<tr>
<td align="left" valign="top">Soil conservation</td>
<td align="char" valign="middle" char=".">0.65</td>
<td align="char" valign="middle" char=".">0.62</td>
<td align="char" valign="middle" char=".">&#x2212;120.07</td>
<td align="char" valign="middle" char=".">0.67</td>
<td align="char" valign="middle" char=".">0.65</td>
<td align="char" valign="middle" char=".">&#x2212;132.25</td>
</tr>
<tr>
<td align="left" valign="top">Habitat quality</td>
<td align="char" valign="middle" char=".">0.31</td>
<td align="char" valign="middle" char=".">0.27</td>
<td align="char" valign="middle" char=".">&#x2212;74.5</td>
<td align="char" valign="middle" char=".">0.38</td>
<td align="char" valign="middle" char=".">0.35</td>
<td align="char" valign="middle" char=".">&#x2212;77.99</td>
</tr>
<tr>
<td align="left" valign="top">Water yield</td>
<td align="char" valign="middle" char=".">0.66</td>
<td align="char" valign="middle" char=".">0.63</td>
<td align="char" valign="middle" char=".">&#x2212;182.75</td>
<td align="char" valign="middle" char=".">0.79</td>
<td align="char" valign="middle" char=".">0.75</td>
<td align="char" valign="middle" char=".">&#x2212;224.1</td>
</tr>
<tr>
<td align="left" valign="top" rowspan="5">Grid scale</td>
<td align="left" valign="top">Food production</td>
<td align="char" valign="middle" char=".">0.02</td>
<td align="char" valign="middle" char=".">0.01</td>
<td align="char" valign="middle" char=".">&#x2212;3818.71</td>
<td align="char" valign="middle" char=".">0.22</td>
<td align="char" valign="middle" char=".">0.12</td>
<td align="char" valign="middle" char=".">&#x2212;3897.06</td>
</tr>
<tr>
<td align="left" valign="top">Carbon sequestration</td>
<td align="char" valign="middle" char=".">0.09</td>
<td align="char" valign="middle" char=".">0.08</td>
<td align="char" valign="middle" char=".">&#x2212;2035.96</td>
<td align="char" valign="middle" char=".">0.14</td>
<td align="char" valign="middle" char=".">0.11</td>
<td align="char" valign="middle" char=".">&#x2212;2060.84</td>
</tr>
<tr>
<td align="left" valign="top">Soil conservation</td>
<td align="char" valign="middle" char=".">0.06</td>
<td align="char" valign="middle" char=".">0.05</td>
<td align="char" valign="middle" char=".">&#x2212;368.03</td>
<td align="char" valign="middle" char=".">0.15</td>
<td align="char" valign="middle" char=".">0.1</td>
<td align="char" valign="middle" char=".">&#x2212;419.04</td>
</tr>
<tr>
<td align="left" valign="top">Habitat quality</td>
<td align="char" valign="middle" char=".">0.32</td>
<td align="char" valign="middle" char=".">0.31</td>
<td align="char" valign="middle" char=".">&#x2212;1418.67</td>
<td align="char" valign="middle" char=".">0.39</td>
<td align="char" valign="middle" char=".">0.38</td>
<td align="char" valign="middle" char=".">&#x2212;1535.86</td>
</tr>
<tr>
<td align="left" valign="top">Water yield</td>
<td align="char" valign="middle" char=".">0.05</td>
<td align="char" valign="middle" char=".">0.04</td>
<td align="char" valign="middle" char=".">&#x2212;1022.32</td>
<td align="char" valign="middle" char=".">0.07</td>
<td align="char" valign="middle" char=".">0.05</td>
<td align="char" valign="middle" char=".">&#x2212;1032.75</td>
</tr>
</tbody>
</table>
</table-wrap>
<p>The results demonstrate that, at the municipal scale, both forest land proportion and precipitation exert positive effects on the supply&#x2013;demand matching of the five key ESs, with significant spatial heterogeneity in the intensity and pattern of their influences depending on the service type. Taking food production as an example to illustrate. The influence of precipitation factor shows a gradient characteristic of increasing from north-west to south-east. The high regression coefficients are concentrated in the cities of Guigang and Wuzhou in the southeastern part of the study area, suggesting that the matching of food supply and demand in these regions is the most sensitive to changes in precipitation. This mainly stems from the fact that the region, as a major agricultural area, has a strong dependence on precipitation for crop growth, and precipitation fluctuations may directly affect the irrigation guarantee rate. The forested land proportion shows a generally positive effect, indicating that there is a positive supportive effect of forested ecosystems on the balance of food production supply and demand. The high regression coefficients in the western regions (e.g., Nanning and Chongzuo) are likely to stem from the key ecological regulatory function of woodlands in these regions.</p>
<p>At the county scale, the results further reveal the differential driving mechanisms of natural geographical factors and human activity factors on five key ESs supply&#x2013;demand relationship, exhibiting more complex spatial heterogeneity than observed at the municipal scale. The supply&#x2013;demand relationship of different ESs is controlled by distinctly different dominant factors: DEM, as a fundamental physiographic factor, plays a decisive role in supply-oriented services such as food production, soil conservation and water yield, whereas the nighttime light index and construction land proportion, as direct proxies of human activities, dominate the spatial patterns of demand-pressure-driven services like carbon sequestration and habitat quality. This divergence in driving mechanisms not only deepens our understanding of the formation mechanisms of ecosystem services, more importantly, provides a scientific basis for precise policy implementation in spatial planning and ecological management at the county scale. For services dominated by natural factors, adaptive utilization of topographic and climatic conditions should be emphasized. For services dominated by anthropogenic factors, it is necessary to alleviate supply&#x2013;demand contradictions by optimizing land use structure and controlling urban expansion intensity.</p>
<p>At the grid scale, the GWR model results exhibit more detailed spatial heterogeneity characteristics than those observed at the county scale, further revealing the differential driving mechanisms of natural geographical factors and human activities on the supply&#x2013;demand matching of ES. The influence of human activity factors (such as nighttime light intensity and population density) increases significantly, becoming dominant factors in services like water yield and carbon sequestration. Meanwhile, the decisive role of cultivated land proportion in food production becomes more pronounced at this finer scale. This scale-dependent differentiation in driving mechanisms provides a scientific basis for implementing grid-based precision ecological management (<xref ref-type="fig" rid="fig6">Figure 6</xref>).</p>
<fig position="float" id="fig6">
<label>Figure 6</label>
<caption>
<p>Spatial distribution of regression coefficients.</p>
</caption>
<graphic xlink:href="fsufs-10-1757502-g006.tif" mimetype="image" mime-subtype="tiff">
<alt-text content-type="machine-generated">Grid of thirty-five thematic maps of a region, each shaded in gradients of green to yellow, illustrating spatial relationships for food production, carbon sequestration, soil conservation, habitat quality, and water yield with factors such as precipitation, land use, elevation, population density, temperature, and nighttime light intensity.</alt-text>
</graphic>
</fig>
</sec>
</sec>
<sec id="sec22">
<label>4</label>
<title>Discussion and conclusions</title>
<sec id="sec23">
<label>4.1</label>
<title>Discussion</title>
<p>This study systematically reveals the spatial differentiation characteristics and scale-dependent influencing mechanisms of key ES supply&#x2013;demand matching in Guangxi through a nested multi-scale analysis framework. Compared to previous studies focusing on a single scale, this research highlights the importance of cross-scale comparisons in identifying the transfer patterns of ES relationships and the spatial non-stationarity of driving factors. The findings not only deepen the understanding of regional ES supply&#x2013;demand dynamics but also provide a scientific basis for spatially targeted ecological governance.</p>
<sec id="sec24">
<label>4.1.1</label>
<title>Multi-scale analysis deepens understanding of the relationship between supply and demand for ecosystem services</title>
<p>Previous researches have revealed the macro-level patterns of ES supply and demand in Guangxi. For instance, <xref ref-type="bibr" rid="ref24">Xie et al. (2020)</xref> concluded that overall ES supply trend in Guangxi is relatively higher in the north than in the south, while ES demand shows the opposite pattern, being lower in the north than in the south, with high ES demand values clustered in the southeast. The findings of this study align with this conclusion, as the supply and demand patterns of the five key ES indicators selected all exhibited similar trends. Concurrently, Xie Yuchu et al. found that at the county scale, H-L and L-L ES supply&#x2013;demand clusters were distributed in northern Guangxi, while H-H and L-H areas tended to be concentrated in the southeast. In this study, apart from soil conservation, the other ESs exhibited similar spatial clustering characteristics at the county level. This further indicates that our findings reliably reflect the ES supply and demand patterns in Guangxi. Compared to existing research, this study innovates by overcoming the limitations of single-scale analysis, establishing a nested multi-scale analytical framework encompassing &#x201C;municipal-county-grid&#x201D; scales. The results indicate that the matching patterns of ecosystem service supply and demand exhibit significant scale dependency. At the municipal level, overall surpluses or deficits in ecosystem services may mask severe localised imbalances. For instance, while Nanning and Guilin exhibit overall surpluses in grain production supply and demand, county-scale districts such as Qingxiu in Nanning and Diecai and Qixing in Guilin face deficits. At the county and grid scales, micro-level heterogeneity gradually emerges. Taking water yield services as an example, supply&#x2013;demand matching exhibits a significant positive correlation at the city level, whereas it shifts to a significant negative correlation at the county level. This underscores that relying solely on a single-scale analysis may lead to biases in ecological management decisions. Adopting a multi-scale perspective facilitates a more comprehensive identification of spatial targets for supply&#x2013;demand mismatches, providing a more layered and targeted scientific basis for macro-level planning and micro-level governance.</p>
</sec>
<sec id="sec25">
<label>4.1.2</label>
<title>Spatial non-stationarity and scale sensitivity of driving factors</title>
<p>GWR models reveal significant spatial non-stationarity and scale dependence in the influence of natural and anthropogenic factors on the supply&#x2013;demand relationship of ES. GWR results indicate that the intensity and direction of the same influencing factor vary considerably across different geographical locations, reflecting the regional specificity of spatial coupling mechanisms between natural and human systems. For instance, the positive effect of forest cover ratio on balancing soil conservation service supply and demand is most pronounced in the western ecological barrier zone. This stems primarily from the region&#x2019;s high vegetation cover, where forests enhance soil and water conservation functions through ecological processes such as canopy interception and root system stabilization. Conversely, in the urbanized southeastern regions, intensive human activities have led to landscape fragmentation. Forest patches become isolated by developed land, disrupting ecological processes and compromising their functions. Consequently, their regulatory role in ES supply and demand is significantly weakened or even negligible. This spatial heterogeneity indicates that a one-size-fits-all management policy may yield limited results, necessitating regionalised strategies tailored to local driving mechanisms. Previous studies have demonstrated that different factors influence ESs at varying scales (<xref ref-type="bibr" rid="ref4">Cui et al., 2019</xref>). This study further reveals that natural baseline factors (such as precipitation and forest cover proportion) exhibit relatively prominent explanatory power at the municipal scale, reflecting that at macro-management units, ES supply capacity remains heavily constrained by regional natural conditions. At the county level, driving mechanisms diverge. For supply-oriented services like food production and soil conservation, natural geographical factors such as DEM play a decisive role; whereas for demand-driven services like carbon sequestration and habitat quality, factors indicating human activity&#x2014;such as night-time light indices and proportion of built-up land&#x2014;become dominant. This confirms that at the county level, as the fundamental unit for China&#x2019;s socio-economic planning and implementation, human activities directly reshape land cover and ecological processes through land use planning and industrial layout, thereby becoming key variables influencing the ES supply&#x2013;demand relationship. Human activity factors such as population density and night-time light intensity exert a more pronounced influence at the grid scale, even becoming dominant in water yield services. Concurrently, the decisive role of cultivated land proportion in shaping grain production supply&#x2013;demand dynamics becomes more pronounced at the grid scale. This demonstrates that high-resolution analysis can reveal spatial heterogeneity within administrative units, simultaneously capturing micro-pattern variations in natural elements and spatial clustering characteristics of human activities. Consequently, it more accurately reflects localised processes of human-land interaction.</p>
</sec>
<sec id="sec26">
<label>4.1.3</label>
<title>Policy implications</title>
<p>This study offers significant insights for spatial governance and ecological civilisation development in the new era: regarding governance philosophy, it is imperative to transcend the homogenised management paradigm and implement differentiated strategies based on the coupling characteristics of regional natural endowments and human activity intensity. Specifically, in the ecologically dominant northwestern mountainous regions, priority should be given to maintaining and restoring functions such as water conservation and soil preservation; In the densely populated urban areas of the southeast, where human demands are concentrated, strict controls on the expansion of construction land are required, alongside efforts to enhance the quality and connectivity of ecological spaces. Regarding governance methods, a multi-tiered, nested monitoring and evaluation system spanning &#x201C;municipal&#x2013;county&#x2013;grid&#x201D; scales should be established. Research indicates significant variations in the dominant contradictions and driving mechanisms of ES supply&#x2013;demand relationships across different scales. Consequently, policy formulation must correspond to the appropriate scale: the municipal scale is suitable for ecological functional zoning and cross-regional coordination; the county scale can identify internally imbalanced areas and delineate key ecological restoration zones; while the grid scale provides direct targets for plot-level ecological engineering deployment. In practical implementation, spatial explicit models such as geographically weighted regression can be employed to spatially visualise the intensity and direction of driver impacts. This provides evidence for optimizing ecological conservation redlines, cross-regional ecological compensation, and refined land use regulation, thereby facilitating a transition from &#x201C;empirical&#x201D; planning to a data-driven, spatially intelligent ecological governance paradigm.</p>
</sec>
<sec id="sec27">
<label>4.1.4</label>
<title>Research limitations</title>
<p>Whilst this study systematically assessed multi-scale ES supply&#x2013;demand relationships, certain limitations remain. Firstly, although models such as InVEST and RUSLE are widely applied, their parameters primarily rely on literature and generic datasets. Integrating locally measured data from Guangxi could enhance research precision in future work. Secondly, this study integrates diverse datasets including remote sensing, meteorological, soil, and socio-economic information. Differences in spatial resolution and temporal consistency among these datasets, particularly during spatial downscaling and aggregation processes, may impact analysis outcomes at finer scales (e.g., grid cells). Thirdly, this study constitutes a static cross-sectional analysis, failing to reveal the spatiotemporal dynamics of ES supply and demand. More critically, it focuses on quantitative matching and spatial co-location of supply and demand within individual scale units, without quantifying the actual flows and feedback mechanisms of ES (e.g., water yield, carbon sequestration) between different scale units. This is essential for understanding regional ES networks and formulating cross-regional ecological compensation mechanisms. Finally, the geographically weighted regression revealed heterogeneous influences of factors, necessitating particular attention to localised landscape contexts, environmental resources, socio-economic characteristics, and other drivers to formulate efficient management measures tailored to local conditions. Future work could couple ecological models (such as InVEST) with socio-economic scenarios to simulate ecosystem service dynamics under different development pathways, incorporating local knowledge and governance preferences into ecosystem service assessments to enhance the practical relevance of spatial planning recommendations.</p>
</sec>
</sec>
<sec id="sec28">
<label>4.2</label>
<title>Conclusion</title>
<list list-type="simple">
<list-item>
<p>(1) The spatial pattern of ES supply&#x2013;demand matching in Guangxi in 2020 exhibited significant scale dependency. At the municipal level, ES supply&#x2013;demand matching presented an overall surplus with structural deficits, with supply&#x2013;demand deficits being more pronounced in rapidly urbanizing areas. The county scale revealed localised mismatch patterns obscured by municipal averages, while the grid scale identified micro-deficit patches across continuous spaces, providing precise targets for ecological restoration. Regarding supply&#x2013;demand relationships: municipal areas require enhanced habitat quality; county areas necessitate improved water yield services; while grid areas demand optimization of soil conservation, habitat quality, and water yield services.</p>
</list-item>
<list-item>
<p>(2) The spatial correlation patterns between ES supply and demand in Guangxi in 2020 exhibited regular evolution with scale variation. At the municipal scale, soil conservation, habitat quality, and carbon sequestration services predominantly exhibited L-L clustering, accompanied by significant positive spatial autocorrelation. At the county level, grain production and soil conservation exhibited positive clustering dominated by L-L patterns, while water yield services showed significant negative clustering. At the grid level, soil conservation and habitat quality revealed pronounced local mismatches, further highlighting micro-spatial heterogeneity.</p>
</list-item>
<list-item>
<p>(3) The driving mechanisms underlying ecosystem service supply&#x2013;demand relationships demonstrated marked spatial non-stationarity and scale sensitivity. Factors such as forest cover and precipitation exert positive influences, yet their effects vary markedly across spatial scales. Moreover, key drivers shift with increasing resolution: municipal scales are dominated by natural baseline conditions; county scales exhibit dual-track dynamics with nature-dominated supply services and human-dominated demand services; while grid scales reveal significantly enhanced anthropogenic impacts.</p>
</list-item>
</list>
</sec>
</sec>
</body>
<back>
<sec sec-type="data-availability" id="sec29">
<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 sec-type="author-contributions" id="sec30">
<title>Author contributions</title>
<p>XC: Visualization, Conceptualization, Validation, Methodology, Writing &#x2013; review &#x0026; editing, Formal analysis, Writing &#x2013; original draft. CZ: Supervision, Writing &#x2013; review &#x0026; editing, Funding acquisition, Methodology, Conceptualization. KQ: Writing &#x2013; original draft, Methodology, Investigation. XJ: Data curation, Writing &#x2013; review &#x0026; editing.</p>
</sec>
<sec sec-type="COI-statement" id="sec31">
<title>Conflict of interest</title>
<p>The author(s) declared that this work was conducted in the absence of any commercial or financial relationships that could be construed as a potential conflict of interest.</p>
</sec>
<sec sec-type="ai-statement" id="sec32">
<title>Generative AI statement</title>
<p>The author(s) declared that Generative AI was not 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 sec-type="disclaimer" id="sec33">
<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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<fn-group>
<fn fn-type="custom" custom-type="edited-by" id="fn0001">
<p>Edited by: <ext-link ext-link-type="uri" xlink:href="https://loop.frontiersin.org/people/1693334/overview">Liye Wang</ext-link>, Shandong University of Finance and Economics, China</p>
</fn>
<fn fn-type="custom" custom-type="reviewed-by" id="fn0002">
<p>Reviewed by: <ext-link ext-link-type="uri" xlink:href="https://loop.frontiersin.org/people/971588/overview">Pankaj Kumar</ext-link>, University of Delhi, India</p>
<p><ext-link ext-link-type="uri" xlink:href="https://loop.frontiersin.org/people/3017455/overview">Linsheng Wen</ext-link>, Fujian Normal University, China</p>
<p><ext-link ext-link-type="uri" xlink:href="https://loop.frontiersin.org/people/3360372/overview">Li Ming</ext-link>, University of Jinan, China</p>
</fn>
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