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<front>
<journal-meta>
<journal-id journal-id-type="publisher-id">Front. Environ. Sci.</journal-id>
<journal-title>Frontiers in Environmental Science</journal-title>
<abbrev-journal-title abbrev-type="pubmed">Front. Environ. Sci.</abbrev-journal-title>
<issn pub-type="epub">2296-665X</issn>
<publisher>
<publisher-name>Frontiers Media S.A.</publisher-name>
</publisher>
</journal-meta>
<article-meta>
<article-id pub-id-type="publisher-id">1640840</article-id>
<article-id pub-id-type="doi">10.3389/fenvs.2025.1640840</article-id>
<article-categories>
<subj-group subj-group-type="heading">
<subject>Environmental Science</subject>
<subj-group>
<subject>Original Research</subject>
</subj-group>
</subj-group>
</article-categories>
<title-group>
<article-title>Unveiling spatiotemporal evolution and driving factors of ecosystem service value: interpretable HGB-SHAP machine learning model</article-title>
<alt-title alt-title-type="left-running-head">Xu et al.</alt-title>
<alt-title alt-title-type="right-running-head">
<ext-link ext-link-type="uri" xlink:href="https://doi.org/10.3389/fenvs.2025.1640840">10.3389/fenvs.2025.1640840</ext-link>
</alt-title>
</title-group>
<contrib-group>
<contrib contrib-type="author" corresp="yes">
<name>
<surname>Xu</surname>
<given-names>Xiangming</given-names>
</name>
<xref ref-type="corresp" rid="c001">&#x2a;</xref>
<uri xlink:href="https://loop.frontiersin.org/people/3089717/overview"/>
<role content-type="https://credit.niso.org/contributor-roles/methodology/"/>
<role content-type="https://credit.niso.org/contributor-roles/writing-original-draft/"/>
<role content-type="https://credit.niso.org/contributor-roles/conceptualization/"/>
<role content-type="https://credit.niso.org/contributor-roles/Writing - review &#x26; editing/"/>
<role content-type="https://credit.niso.org/contributor-roles/project-administration/"/>
</contrib>
<contrib contrib-type="author">
<name>
<surname>Zhang</surname>
<given-names>Xinyi</given-names>
</name>
<role content-type="https://credit.niso.org/contributor-roles/formal-analysis/"/>
<role content-type="https://credit.niso.org/contributor-roles/writing-original-draft/"/>
</contrib>
<contrib contrib-type="author">
<name>
<surname>Qin</surname>
<given-names>Linghua</given-names>
</name>
<role content-type="https://credit.niso.org/contributor-roles/validation/"/>
<role content-type="https://credit.niso.org/contributor-roles/writing-original-draft/"/>
</contrib>
<contrib contrib-type="author">
<name>
<surname>Li</surname>
<given-names>Rui</given-names>
</name>
<role content-type="https://credit.niso.org/contributor-roles/investigation/"/>
<role content-type="https://credit.niso.org/contributor-roles/writing-original-draft/"/>
</contrib>
</contrib-group>
<aff>
<institution>School of Geography and Environmental Engineering</institution>, <institution>Gannan Normal University</institution>, <addr-line>Ganzhou</addr-line>, <country>China</country>
</aff>
<author-notes>
<fn fn-type="edited-by">
<p>
<bold>Edited by:</bold> <ext-link ext-link-type="uri" xlink:href="https://loop.frontiersin.org/people/2139450/overview">Yaohui Liu</ext-link>, Shandong Jianzhu University, China</p>
</fn>
<fn fn-type="edited-by">
<p>
<bold>Reviewed by:</bold> <ext-link ext-link-type="uri" xlink:href="https://loop.frontiersin.org/people/1036715/overview">Xufeng Cui</ext-link>, Zhongnan University of Economics and Law, China</p>
<p>
<ext-link ext-link-type="uri" xlink:href="https://loop.frontiersin.org/people/1359249/overview">Chunbo Huang</ext-link>, China University of Geosciences Wuhan, China</p>
<p>
<ext-link ext-link-type="uri" xlink:href="https://loop.frontiersin.org/people/3117068/overview">Xinyu Zhu</ext-link>, Shangqiu Normal University, China</p>
</fn>
<corresp id="c001">&#x2a;Correspondence: Xiangming Xu, <email>xuxiangming@gnnu.edu.cn</email>
</corresp>
</author-notes>
<pub-date pub-type="epub">
<day>07</day>
<month>08</month>
<year>2025</year>
</pub-date>
<pub-date pub-type="collection">
<year>2025</year>
</pub-date>
<volume>13</volume>
<elocation-id>1640840</elocation-id>
<history>
<date date-type="received">
<day>05</day>
<month>06</month>
<year>2025</year>
</date>
<date date-type="accepted">
<day>19</day>
<month>07</month>
<year>2025</year>
</date>
</history>
<permissions>
<copyright-statement>Copyright &#xa9; 2025 Xu, Zhang, Qin and Li.</copyright-statement>
<copyright-year>2025</copyright-year>
<copyright-holder>Xu, Zhang, Qin and Li</copyright-holder>
<license xlink:href="http://creativecommons.org/licenses/by/4.0/">
<p>This is an open-access article distributed under the terms of the Creative Commons Attribution License (CC BY). The use, distribution or reproduction in other forums is permitted, provided the original author(s) and the copyright owner(s) are credited and that the original publication in this journal is cited, in accordance with accepted academic practice. No use, distribution or reproduction is permitted which does not comply with these terms.</p>
</license>
</permissions>
<abstract>
<sec>
<title>Introduction</title>
<p>The ecosystem service value (ESV) is a critical element in the preservation of ecological barriers. The objective of this study is to elucidate the nonlinear correlation between ESV and the key factors that contribute to enhancing the accuracy and reliability of ecosystem service value assessment.</p>
</sec>
<sec>
<title>Methods</title>
<p>In this study, ESV were evaluated based on grid and county scales. Furthermore, the driving factors of ESV were explored using the explainable machine learning method.</p>
</sec>
<sec>
<title>Results</title>
<p>The findings are as follows: (1) The net ESV of the Gangjiang Upstream Basin (GUB) has undergone a decline from 1990 to 2000, with climate regulation and hydrological regulation collectively accounting for approximately 50% of all functions. (2) A mere 0.69% of the areas exhibited an increase in the level of ESV, while 11.19% demonstrated a decline by 2020, based on the grid scale. The ESV exhibited a slight increase in two counties, while it demonstrated a decrease in the remaining 16 counties at the county scale. The ESV exhibited a substantial positive spatial correlation, manifesting as the presence of considerable high-high and low-low clustering regions. (3) The interpretable machine learning analysis revealed a consistently strong negative correlation between ESV and human activity intensity (HAI), fractional vegetation cover (FVC), and elevation across the entire observed range. In contrast, the soil organic matter (SOC) demonstrated a non-linear, highly significant positive correlation with ESV.</p>
</sec>
<sec>
<title>Discussion</title>
<p>This paper addresses the observed decline in the value of ecosystem services of GUB by proposing a series of strategies designed to enhance ESV in the region. Furthermore, drawing on research findings related to the driving factors and thresholds of ESV, this paper presents specific measures that can serve as references for managers.</p>
</sec>
</abstract>
<kwd-group>
<kwd>multi-scales</kwd>
<kwd>equivalent factor</kwd>
<kwd>spatial autocorrelation analysis</kwd>
<kwd>HGB</kwd>
<kwd>SHAP</kwd>
</kwd-group>
<contract-num rid="cn001">42261015</contract-num>
<contract-sponsor id="cn001">National Natural Science Foundation of China<named-content content-type="fundref-id">10.13039/501100001809</named-content>
</contract-sponsor>
<custom-meta-wrap>
<custom-meta>
<meta-name>section-at-acceptance</meta-name>
<meta-value>Land Use Dynamics</meta-value>
</custom-meta>
</custom-meta-wrap>
</article-meta>
</front>
<body>
<sec id="s1">
<title>1 Introduction</title>
<p>China has suggested the grand strategy of developing a &#x201c;Beautiful China&#x201d; in response to the growing ecological and environmental issues brought on by rapid urbanization. This plan specifically aims to &#x201c;support high-quality development with a high-quality ecological environment.&#x201d; As a result, ecosystem services have gradually become a hot spot (<xref ref-type="bibr" rid="B65">Zhang et al., 2021</xref>). The goods and services that are obtained either directly or indirectly from ecosystem functions are known as ecosystem services. They consist of energy flows, material flows and information flows from natural and non-natural capital that contribute to human wellbeing. Changes in ecosystem services are closely linked to human welfare (<xref ref-type="bibr" rid="B39">Wang et al., 2017</xref>; <xref ref-type="bibr" rid="B28">Ouyang et al., 1999</xref>). In 1997, Costanza et al. published a paper in <italic>Nature</italic> on the global assessment of ESV, which stimulated research in the field of ecosystem services (<xref ref-type="bibr" rid="B5">Costanza et al., 1997</xref>). Xie Gaodi et al. developed the &#x201c;Equivalent Factor Table for Ecosystem Service Value in China,&#x201d; which was tailored to the specific characteristics of ecosystems and has been widely utilized in studies of ESV at various regional scales (<xref ref-type="bibr" rid="B47">Xie et al., 2015</xref>; <xref ref-type="bibr" rid="B26">Liu et al., 2021</xref>; <xref ref-type="bibr" rid="B10">Gao et al., 2021</xref>). One of the main ways that human activity affects ecosystems is through land use change (LUC). This is because LUC modifies the availability of ecosystem services and products, which impacts ecosystem patterns and functions. Consequently, land use change plays a pivotal role in ecosystem service value (<xref ref-type="bibr" rid="B45">Xiao et al., 2020</xref>; <xref ref-type="bibr" rid="B54">Yang X. et al, 2025</xref>). Rapid growth over the last 3&#xa0;decades has exacerbated changes in land use, including as reclamation, urbanization, and land abandonment, which has led to a fall in ESV and a degradation of ecosystem service functions. This has posed a significant challenge to regional sustainable development (<xref ref-type="bibr" rid="B37">Sun et al., 2024</xref>; <xref ref-type="bibr" rid="B24">Liu J. et al., 2014</xref>).</p>
<p>Numerous national and international studies have examined the impact of LUC on ecosystem service value. The unit area value equivalent factor method, the integrated model method, and the remote sensing quantification method are some evaluation techniques used in ESV assessment (<xref ref-type="bibr" rid="B62">Zhang and Fu, 2014</xref>; <xref ref-type="bibr" rid="B60">Zhang et al., 2024</xref>; <xref ref-type="bibr" rid="B42">Wang et al., 2024</xref>). The evolution features, response relationships, and driving forces of LUC-ESV have been the subject of a considerable number of investigations on a large scale. One of the scales selected for investigation was grid units, another was administrative regions, and a third was watersheds (<xref ref-type="bibr" rid="B43">Wei et al., 2023</xref>; <xref ref-type="bibr" rid="B33">Shen et al., 2024</xref>; <xref ref-type="bibr" rid="B40">Wang et al., 2021</xref>). Furthermore, to illustrate how LUC affects ESV, current research mostly uses quantitative techniques, such as hotspot analysis, land use transition matrices, land use change maps, and horizontal changes in land use types (<xref ref-type="bibr" rid="B58">Ye et al., 2004</xref>; <xref ref-type="bibr" rid="B9">Feng et al., 2021</xref>). Nevertheless, there is still little study on multi-scale studies. Therefore, this study reveals the multi-dimensional characteristics of ESV based on grid and county scales.</p>
<p>To improve regional ecological security and support the sustainable growth, it is essential to determine the variables that drive ESV. However, conventional quantitative techniques that concentrate on explanatory analysis, like spatial quantile regression modeling, geographically weighted regression, and geographic detector, are limited in their ability to handle nonlinear interactions and the physical significance of the driving factors (<xref ref-type="bibr" rid="B34">Shi et al., 2022</xref>; <xref ref-type="bibr" rid="B64">Zhang et al., 2023</xref>; <xref ref-type="bibr" rid="B7">Deng et al., 2025</xref>). Geodetector analysis identifies the factors driving spatial heterogeneity in ESV and can reveal both dominant drivers and their optimal combinations. However, given the adoption of disparate criteria and rules for factor selection and data discretization by researchers, the final detection results may exhibit variability to a certain extent (<xref ref-type="bibr" rid="B41">Wang et al., 2025</xref>). Machine learning (ML) algorithms provide innovative tools for clarifying intricate driving mechanisms and accurate prediction in order to handle this problem (<xref ref-type="bibr" rid="B68">Zhao et al., 2025</xref>). A more realistic depiction of the underlying dynamics is possible thanks to machine learning&#x2019;s ability to capture the interactions between variables and their combined impacts on ESV (<xref ref-type="bibr" rid="B19">Li et al., 2025a</xref>). Both natural and man-made elements contribute to the intricate construction process of ecosystem structure and function services (<xref ref-type="bibr" rid="B55">Yang Y. et al., 2025</xref>). ML methods, with their powerful nonlinear modeling capabilities, offer novel analytical tools for ESV research (<xref ref-type="bibr" rid="B20">Li et al., 2025b</xref>). However, decision-makers face interpretability issues due to the &#x201c;black box&#x201d; nature of ML models, which makes it difficult for them to intuitively understand the relative relevance of driving elements (<xref ref-type="bibr" rid="B16">Lee et al., 2022</xref>). In comparison with conventional factor-analysis methodologies, Shapley Additive Explanations (SHAP) enhances model transparency while preserving predictive accuracy, thereby elucidating the key drivers and their underlying mechanisms. The integration of feature importance, partial dependence plots, and SHAP values within the framework of ML and SHAP offers a comprehensive analysis of the impact of drivers on ecosystem services (<xref ref-type="bibr" rid="B67">Zhao et al., 2022</xref>; <xref ref-type="bibr" rid="B13">Huang et al., 2025</xref>). This enables researchers to visualize the interactions between components and their overall impacts, as well as to comprehend the direction (positive or negative) and size of impact (<xref ref-type="bibr" rid="B22">Ling et al., 2022</xref>).</p>
<p>The GUB, which includes 18 counties in Ganzhou Municipality, is located in the southern part of Jiangxi Province, China. The GUB represents the source area for both the Ganjiang River and the Dongjiang River. The Ganjiang River represents the largest river system in the Poyang Lake Basin and constitutes a pivotal tributary of the lower Yangtze River. Additionally, the region of GUB was a crucial barrier for ecological security in southern China. The GUB is located within Ganzhou City, where confirmed ion-adsorption rare-earth reserves total approximately 470 thousand tonnes-approximately 40% of China&#x2019;s total ionic-type rare earth resources. This has led to the region being dubbed the &#x201c;Rare Earth Kingdom&#x201d; (<xref ref-type="bibr" rid="B48">Xiong et al., 2019</xref>). However, due to human activity, the area is experiencing serious environmental problems that are significantly affecting the composition and functionality of the local ecosystem. In light of the aforementioned background, the present study puts forth the two hypotheses to direct the investigation. Firstly, the ESV of GUB has undergone a substantial spatiotemporal decline over the past 2&#xa0;decades, primarily attributable to LUC and HAI. Secondly, the relationship between ESV and driving factors is nonlinear and scale-dependent, and traditional linear models are insufficient to capture these complex interactions. Accordingly, explainable machine learning approach is applied to explore the driving factors of ESV. The study aims to: (1) Investigate the spatiotemporal changes of ESV. (2) Optimal machine learning model selection via parameter comparison. (3) Detect the driving factor of ESV. The findings will furnish theoretical backing and consultancy expertise for the zonal administration of ecosystem services of the GUB, thereby contributing to the advancement of the &#x201c;Ganzhou Model&#x201d; of a Beautiful China.</p>
</sec>
<sec sec-type="materials|methods" id="s2">
<title>2 Materials and methods</title>
<sec id="s2-1">
<title>2.1 Study area</title>
<p>The GUB is situated in the upper reach of the Ganjiang River (<xref ref-type="fig" rid="F1">Figure 1</xref>), in Jiangxi Province, southern China, encompassing 18 counties of Ganzhou city. It is situated between latitudes 24&#xb0;29&#x2032;N and 27&#xb0;09&#x2032;N, and longitudes 113&#xb0;54&#x2032;E and 116&#xb0;38&#x2032;E, encompassing a total area of 39,379.64&#xa0;km<sup>2</sup>, which constitutes 23.6% of the total area of Jiangxi Province. The region&#x2019;s topography is predominantly characterised by mountainous and hilly terrain, which collectively constitute the geomorphological framework and account for 80.98% of the total area. The GUB has a subtropical monsoon climate because it is located on the southern border of the mid-subtropical zone. The predominant winter and summer monsoons, heavy spring and summer precipitation, clear seasonal variations, a moderate temperature, copious amounts of heat and precipitation, brief episodes of extreme cold or heat, and an extended frost-free season are its defining features. The average annual temperature in the area is 19.8&#xb0;C, while the average annual precipitation is 1,318.9&#xa0;mm (<xref ref-type="bibr" rid="B50">Xu, 2025</xref>).</p>
<fig id="F1" position="float">
<label>FIGURE 1</label>
<caption>
<p>Geographic location of study area.</p>
</caption>
<graphic xlink:href="fenvs-13-1640840-g001.tif">
<alt-text content-type="machine-generated">Map showing Jiangxi province in China. The left panel highlights Jiangxi in blue, bordered by Anhui, Zhejiang, Fujian, Guangdong, and Hunan provinces. The right panel is a topographic map of Jiangxi, indicating elevation in meters with colors from brown (low, 29 m) to green (high, 1984 m). County boundaries are marked. Scale bars and a compass rose are included.</alt-text>
</graphic>
</fig>
</sec>
<sec id="s2-2">
<title>2.2 Data sources</title>
<p>The data comprised digital elevation model (DEM), land use data, Soil Organic Carbon (SOC) and grain output (<xref ref-type="table" rid="T1">Table 1</xref>). The grain output and GDP data were provided by the Ganzhou Municipal Bureau of Statistics (2021), while the product price data was sourced from the China Agricultural Products Price Survey Yearbook (2021). The research framework is shown in <xref ref-type="fig" rid="F2">Figure 2</xref>. In order to standardize the spatial resolution of multi-source data, the present study employed resampling techniques to normalize the raw data. The study area was meticulously delineated into a regular grid of 5&#xa0;km &#xd7; 5&#xa0;km&#xa0;cells. The mean value of all data points within each grid cell was calculated using spatial statistical methods, and these means were used as training samples for the machine learning model.</p>
<table-wrap id="T1" position="float">
<label>TABLE 1</label>
<caption>
<p>Data source.</p>
</caption>
<table>
<thead valign="top">
<tr>
<th align="left">Data</th>
<th align="left">Data sources</th>
<th align="left">Data accuracy</th>
<th align="left">Year</th>
</tr>
</thead>
<tbody valign="top">
<tr>
<td align="left">Digital Elevation Model (DEM)</td>
<td align="left">Geospatial Data Cloud<break/>(<ext-link ext-link-type="uri" xlink:href="https://www.gscloud.cn/">https://www.gscloud.cn/</ext-link>)</td>
<td align="left">30&#xa0;m</td>
<td align="left">2020</td>
</tr>
<tr>
<td align="left">Monthly mean temperature</td>
<td align="left">Resource and Environmental Science Data Platform<break/>(<ext-link ext-link-type="uri" xlink:href="http://www.resdc.cn/">http://www.resdc.cn/</ext-link>)</td>
<td align="left">1&#xa0;km</td>
<td align="left">1990&#x2013;2020</td>
</tr>
<tr>
<td align="left">Monthly mean precipitation</td>
<td align="left">Resource and Environmental Science Data Platform<break/>(<ext-link ext-link-type="uri" xlink:href="http://www.resdc.cn/">http://www.resdc.cn/</ext-link>)</td>
<td align="left">1&#xa0;km</td>
<td align="left">1990&#x2013;2020</td>
</tr>
<tr>
<td align="left">Normalized Difference Vegetation Index (NDVI)</td>
<td align="left">Resource and Environmental Science Data Platform<break/>(<ext-link ext-link-type="uri" xlink:href="http://www.resdc.cn/">http://www.resdc.cn/</ext-link>)</td>
<td align="left">1&#xa0;km</td>
<td align="left">1990, 2000, 2010, 2020</td>
</tr>
<tr>
<td align="left">Land use</td>
<td align="left">Data Center for Resources and Environmental Sciences, Chinese Academy of Sciences<break/>(<ext-link ext-link-type="uri" xlink:href="https://www.resdc.cn/">https://www.resdc.cn/</ext-link>)</td>
<td align="left">30&#xa0;m</td>
<td align="left">1990, 2000, 2010, 2020</td>
</tr>
<tr>
<td align="left">Soil Organic Carbon (SOC)</td>
<td align="left">National Earth System Science Data Center<break/>(<ext-link ext-link-type="uri" xlink:href="http://www.geodata.cn/">http://www.geodata.cn/</ext-link>)</td>
<td align="left">90&#xa0;m</td>
<td align="left">2010&#x2013;2018</td>
</tr>
<tr>
<td align="left">GDP</td>
<td align="left">Jiangxi Statistical Yearbooks</td>
<td align="left">County</td>
<td align="left">2021</td>
</tr>
</tbody>
</table>
</table-wrap>
<fig id="F2" position="float">
<label>FIGURE 2</label>
<caption>
<p>The research framework.</p>
</caption>
<graphic xlink:href="fenvs-13-1640840-g002.tif">
<alt-text content-type="machine-generated">Flowchart illustrating land use and ecosystem service value (ESV) analysis for the Ganjiang Upstream Basin from 1990 to 2020. It includes inputs like land-use types and driving factors such as elevation and GDP. Spatial-temporal analysis, spatial autocorrelation, machine learning models like XGBoost, and ESV enhancement strategies are displayed. Evaluation metrics include R-squared and RMSE.</alt-text>
</graphic>
</fig>
</sec>
<sec id="s2-3">
<title>2.3 Method for assessing ESV</title>
<p>In this study, the equivalent factor method was employed to ascertain the value of individual ecosystem service equivalent factors and to estimate the coefficients for different land use types (<xref ref-type="bibr" rid="B46">Xie et al., 2003</xref>). According to data from the Ganzhou Statistical Yearbook, In 2020, the average grain production per unit area of the GUB was 9,792.71&#xa0;kg/hm<sup>2</sup>. Considering that the research duration extended over 3&#xa0;decades, the fixed price of 2020 was utilized to correlate the ESV of each period. The principal crops cultivated in the GUB are rice, vegetables, and fungi, along with oil crops. The mean prices for rice, vegetables, fungi, and oil crops in 2020 were 3.53 yuan/kg, 2.29 yuan/kg, 4.7 yuan/kg, and 2.21 yuan/kg, respectively. Thus, in 2020, the economic value of the equivalent factor of the GUB was 4,109.01 yuan/hm<sup>2</sup>, which allowed for the calculation of the ESV coefficients for the GUB (<xref ref-type="table" rid="T2">Table 2</xref>). The calculation of ESV is shown in <xref ref-type="disp-formula" rid="e1">Equations 1</xref>, <xref ref-type="disp-formula" rid="e2">2</xref> (<xref ref-type="bibr" rid="B11">Hu et al., 2023</xref>; <xref ref-type="bibr" rid="B35">Shi et al., 2012</xref>):<disp-formula id="e1">
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</mml:mfenced>
</mml:mrow>
</mml:mrow>
</mml:math>
<label>(1)</label>
</disp-formula>
<disp-formula id="e2">
<mml:math id="m2">
<mml:mrow>
<mml:msub>
<mml:mrow>
<mml:mi>E</mml:mi>
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<mml:mo>&#xd7;</mml:mo>
<mml:mi>V</mml:mi>
<mml:msub>
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<mml:mrow>
<mml:mi>f</mml:mi>
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</mml:msub>
</mml:mrow>
</mml:mfenced>
</mml:mrow>
</mml:mrow>
</mml:math>
<label>(2)</label>
</disp-formula>
</p>
<table-wrap id="T2" position="float">
<label>TABLE 2</label>
<caption>
<p>Coefficients of ESV of different land use of the GUB, 2020. (yuan/hm<sup>2</sup>).</p>
</caption>
<table>
<thead valign="top">
<tr>
<th colspan="2" align="center">Ecosystem</th>
<th align="center">Farmland</th>
<th align="center">Forest</th>
<th align="center">Grassland</th>
<th align="center">Wetland</th>
<th align="center">Urban</th>
<th align="center">Desert</th>
</tr>
<tr>
<th colspan="2" align="center">Land use</th>
<th align="center">Farmland</th>
<th align="center">Forestland</th>
<th align="center">Grassland</th>
<th align="center">Water body</th>
<th align="center">Construction land</th>
<th align="center">Unused land</th>
</tr>
</thead>
<tbody valign="top">
<tr>
<td rowspan="3" align="center">Provisioning services</td>
<td align="center">Food production</td>
<td align="center">4540.45</td>
<td align="center">959.45</td>
<td align="center">1249.14</td>
<td align="center">2989.30</td>
<td align="center">0.00</td>
<td align="center">0.00</td>
</tr>
<tr>
<td align="center">Raw material production</td>
<td align="center">1006.71</td>
<td align="center">2192.16</td>
<td align="center">1840.84</td>
<td align="center">1222.43</td>
<td align="center">0.00</td>
<td align="center">0.00</td>
</tr>
<tr>
<td align="center">Water supply</td>
<td align="center">&#x2212;5362.25</td>
<td align="center">1138.20</td>
<td align="center">1019.03</td>
<td align="center">28208.34</td>
<td align="center">0.00</td>
<td align="center">0.00</td>
</tr>
<tr>
<td rowspan="4" align="center">Regulating services</td>
<td align="center">Gas regulation</td>
<td align="center">3657.02</td>
<td align="center">7242.13</td>
<td align="center">6475.80</td>
<td align="center">4324.73</td>
<td align="center">0.00</td>
<td align="center">82.18</td>
</tr>
<tr>
<td align="center">Climate regulation</td>
<td align="center">1910.69</td>
<td align="center">21677.07</td>
<td align="center">17126.34</td>
<td align="center">10755.33</td>
<td align="center">0.00</td>
<td align="center">0.00</td>
</tr>
<tr>
<td align="center">Environmental purification</td>
<td align="center">554.72</td>
<td align="center">6221.04</td>
<td align="center">5653.99</td>
<td align="center">20801.85</td>
<td align="center">0.00</td>
<td align="center">410.90</td>
</tr>
<tr>
<td align="center">Hydrological regulation</td>
<td align="center">6142.97</td>
<td align="center">12094.86</td>
<td align="center">12557.13</td>
<td align="center">339969.00</td>
<td align="center">0.00</td>
<td align="center">123.27</td>
</tr>
<tr>
<td rowspan="3" align="center">Supporting services</td>
<td align="center">Soil retention</td>
<td align="center">2136.68</td>
<td align="center">8817.93</td>
<td align="center">7889.29</td>
<td align="center">5238.98</td>
<td align="center">0.00</td>
<td align="center">82.18</td>
</tr>
<tr>
<td align="center">Nutrient cycling</td>
<td align="center">636.90</td>
<td align="center">675.93</td>
<td align="center">591.70</td>
<td align="center">400.63</td>
<td align="center">0.00</td>
<td align="center">0.00</td>
</tr>
<tr>
<td align="center">Biodiversity conservation</td>
<td align="center">698.53</td>
<td align="center">8022.84</td>
<td align="center">7166.11</td>
<td align="center">15942.95</td>
<td align="center">0.00</td>
<td align="center">82.18</td>
</tr>
<tr>
<td align="center">Cultural services</td>
<td align="center">Aesthetic landscape</td>
<td align="center">308.18</td>
<td align="center">3519.36</td>
<td align="center">3155.72</td>
<td align="center">10683.42</td>
<td align="center">0.00</td>
<td align="center">41.09</td>
</tr>
<tr>
<td align="center">&#x2014;</td>
<td align="center">Total</td>
<td align="center">16230.58</td>
<td align="center">72560.96</td>
<td align="center">64725.08</td>
<td align="center">440536.96</td>
<td align="center">0.00</td>
<td align="center">821.80</td>
</tr>
</tbody>
</table>
</table-wrap>
<p>Where ESV represents the total value of ecosystem services, <inline-formula id="inf1">
<mml:math id="m3">
<mml:mrow>
<mml:mi>V</mml:mi>
<mml:msub>
<mml:mi>C</mml:mi>
<mml:mi>k</mml:mi>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> is the ecosystem value coefficient, <inline-formula id="inf2">
<mml:math id="m4">
<mml:mrow>
<mml:msub>
<mml:mi>A</mml:mi>
<mml:mi>k</mml:mi>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> is the area of land use type <italic>k</italic>, <inline-formula id="inf3">
<mml:math id="m5">
<mml:mrow>
<mml:mi>E</mml:mi>
<mml:mi>S</mml:mi>
<mml:msub>
<mml:mi>V</mml:mi>
<mml:mi>k</mml:mi>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> is the value of the <italic>f</italic>th ecosystem service function, and <inline-formula id="inf4">
<mml:math id="m6">
<mml:mrow>
<mml:mi>V</mml:mi>
<mml:msub>
<mml:msub>
<mml:mi>C</mml:mi>
<mml:mi>f</mml:mi>
</mml:msub>
<mml:mi>k</mml:mi>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> is the value coefficient of the <italic>f</italic>th service function for land use type <italic>k</italic>.</p>
</sec>
<sec id="s2-4">
<title>2.4 Grid-based spatial expression of ESV</title>
<p>Grids measuring 2&#xa0;km by 2&#xa0;km, 5&#xa0;km by 5&#xa0;km, 8&#xa0;km by 8&#xa0;km, and 10&#xa0;km by 10&#xa0;km were first built as potential assessment units for this study. The <italic>ArcGIS10.8</italic> software tools, including <italic>Create Fishnet, Clip,</italic> and <italic>Dissolve</italic>, were employed to select a grid size of 5&#xa0;km &#xd7; 5&#xa0;km, resulting in a total of 1,744 small grids. Based on the land use data available for each grid, the ESV (ESV) of each land use within each grid was calculated, and the values were then summed to obtain the total ESV for the grid. The following <xref ref-type="disp-formula" rid="e3">Equations 3</xref>, <xref ref-type="disp-formula" rid="e4">4</xref> provide the formula (<xref ref-type="bibr" rid="B17">Li et al., 2018</xref>; <xref ref-type="bibr" rid="B52">Yang et al., 2022</xref>):<disp-formula id="e3">
<mml:math id="m7">
<mml:mrow>
<mml:mi>E</mml:mi>
<mml:mi>S</mml:mi>
<mml:msub>
<mml:mi>V</mml:mi>
<mml:mi>n</mml:mi>
</mml:msub>
<mml:mo>&#x3d;</mml:mo>
<mml:mo>&#x2211;</mml:mo>
<mml:mrow>
<mml:mfenced open="(" close=")" separators="|">
<mml:mrow>
<mml:msub>
<mml:mi>S</mml:mi>
<mml:mrow>
<mml:mi>m</mml:mi>
<mml:mi>n</mml:mi>
</mml:mrow>
</mml:msub>
<mml:mo>&#xd7;</mml:mo>
<mml:mi>L</mml:mi>
<mml:msub>
<mml:mi>U</mml:mi>
<mml:mi>m</mml:mi>
</mml:msub>
</mml:mrow>
</mml:mfenced>
</mml:mrow>
</mml:mrow>
</mml:math>
<label>(3)</label>
</disp-formula>
<disp-formula id="e4">
<mml:math id="m8">
<mml:mrow>
<mml:mi>E</mml:mi>
<mml:mi>S</mml:mi>
<mml:mi>V</mml:mi>
<mml:mo>&#x3d;</mml:mo>
<mml:mstyle displaystyle="true">
<mml:munderover>
<mml:mo>&#x2211;</mml:mo>
<mml:mrow>
<mml:mi>n</mml:mi>
<mml:mo>&#x3d;</mml:mo>
<mml:mn>1</mml:mn>
</mml:mrow>
<mml:mi>k</mml:mi>
</mml:munderover>
</mml:mstyle>
<mml:mi>E</mml:mi>
<mml:mi>S</mml:mi>
<mml:msub>
<mml:mi>V</mml:mi>
<mml:mi>n</mml:mi>
</mml:msub>
</mml:mrow>
</mml:math>
<label>(4)</label>
</disp-formula>
</p>
<p>
<italic>ESV</italic>
<sub>
<italic>n</italic>
</sub> represents the ESV (ESV) of the <italic>nth</italic> land use type within each grid cell; <italic>S</italic>
<sub>
<italic>mn</italic>
</sub> denotes the area (in hectares) of the <italic>nth</italic> land use type in the <italic>mth</italic> grid cell; <italic>LU</italic>
<sub>
<italic>m</italic>
</sub> is the ESV coefficient for the <italic>mth</italic> land use type; and <italic>k</italic> is the total number of land use types.</p>
</sec>
<sec id="s2-5">
<title>2.5 Analysis of regional variability based on administrative unit</title>
<p>The regional variability of ESV can be reflected by utilising the relative change rate, as expressed by the following <xref ref-type="disp-formula" rid="e5">Equation 5</xref> (<xref ref-type="bibr" rid="B23">Liu G. et al., 2014</xref>):<disp-formula id="e5">
<mml:math id="m9">
<mml:mrow>
<mml:mi>R</mml:mi>
<mml:mo>&#x3d;</mml:mo>
<mml:mfrac>
<mml:mrow>
<mml:msub>
<mml:mi>R</mml:mi>
<mml:mi>L</mml:mi>
</mml:msub>
</mml:mrow>
<mml:mrow>
<mml:msub>
<mml:mi>R</mml:mi>
<mml:mi>C</mml:mi>
</mml:msub>
</mml:mrow>
</mml:mfrac>
<mml:mo>&#x3d;</mml:mo>
<mml:mfrac>
<mml:mrow>
<mml:mfrac>
<mml:mrow>
<mml:msub>
<mml:mi>L</mml:mi>
<mml:mi>b</mml:mi>
</mml:msub>
<mml:mo>&#x2212;</mml:mo>
<mml:msub>
<mml:mi>L</mml:mi>
<mml:mi>a</mml:mi>
</mml:msub>
</mml:mrow>
<mml:msub>
<mml:mi>L</mml:mi>
<mml:mi>a</mml:mi>
</mml:msub>
</mml:mfrac>
</mml:mrow>
<mml:mrow>
<mml:mfrac>
<mml:mrow>
<mml:msub>
<mml:mi>C</mml:mi>
<mml:mi>b</mml:mi>
</mml:msub>
<mml:mo>&#x2212;</mml:mo>
<mml:msub>
<mml:mi>C</mml:mi>
<mml:mi>a</mml:mi>
</mml:msub>
</mml:mrow>
<mml:msub>
<mml:mi>C</mml:mi>
<mml:mi>a</mml:mi>
</mml:msub>
</mml:mfrac>
</mml:mrow>
</mml:mfrac>
</mml:mrow>
</mml:math>
<label>(5)</label>
</disp-formula>
</p>
<p>
<italic>R</italic> represents the relative change rate, where <italic>R</italic>
<sub>
<italic>L</italic>
</sub> and <italic>R</italic>
<sub>
<italic>C</italic>
</sub> are the regional and global change rates, respectively; <italic>L</italic>
<sub>
<italic>a</italic>
</sub> and <italic>L</italic>
<sub>
<italic>b</italic>
</sub> denote the initial and final values of regional ESV; and <italic>C</italic>
<sub>
<italic>a</italic>
</sub> and <italic>C</italic>
<sub>
<italic>b</italic>
</sub> represent the initial and final values of global ESV. The relative change rate exhibits the following characteristics:<list list-type="simple">
<list-item>
<p>(1) It has been demonstrated that when the relative change rate is greater than or equal to 0, regional ESV trends exhibit alignment with global trends. When the relative change rate is greater than or equal to 0 but less than 1, regional change is weaker. In contrast, a relative change rate that is greater than 1 indicates that regional change exceeds global change.</p>
</list-item>
<list-item>
<p>(2) Conversely, a negative relative change rate, defined as a value less than zero, signifies that regional ESV trends are in opposition to global ESV trends. Specifically, when the rate is between &#x2212;1 and 0, regional change is weaker than global change; when the rate is less than &#x2212;1, regional change exceeds global change in magnitude.</p>
</list-item>
</list>
</p>
</sec>
<sec id="s2-6">
<title>2.6 Analysis of spatial autocorrelation</title>
<p>&#x201c;Spatial autocorrelation&#x201d; refers to both local and global types of spatial autocorrelation. The global Moran&#x2019;s index (<italic>Moran&#x2019;sI</italic>) is employed to delineate the prevailing trend of spatial correlation in ESV. The local spatial autocorrelation index, represented by <italic>Moran&#x2019;sI</italic>
<sub>
<italic>i</italic>
</sub>, reflects the degree of spatial autocorrelation within grid cells (<xref ref-type="bibr" rid="B29">Pearson, 2002</xref>). The formula is presented in <xref ref-type="disp-formula" rid="e6">Equations 6</xref>-<xref ref-type="disp-formula" rid="e8">8</xref> as follow (<xref ref-type="bibr" rid="B14">Jin et al., 2020</xref>; <xref ref-type="bibr" rid="B56">Yao et al., 2015</xref>):<disp-formula id="e6">
<mml:math id="m10">
<mml:mrow>
<mml:mi>M</mml:mi>
<mml:mi>o</mml:mi>
<mml:mi>r</mml:mi>
<mml:mi>a</mml:mi>
<mml:msup>
<mml:mi>n</mml:mi>
<mml:mo>&#x2032;</mml:mo>
</mml:msup>
<mml:mi>s</mml:mi>
<mml:mi>I</mml:mi>
<mml:mo>&#x3d;</mml:mo>
<mml:mfrac>
<mml:mrow>
<mml:mi>n</mml:mi>
<mml:mrow>
<mml:mstyle displaystyle="true">
<mml:msubsup>
<mml:mo>&#x2211;</mml:mo>
<mml:mrow>
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<mml:mo>&#x3d;</mml:mo>
<mml:mn>1</mml:mn>
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<mml:mi>n</mml:mi>
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<mml:mrow>
<mml:mstyle displaystyle="true">
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<mml:mo>&#x2211;</mml:mo>
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<mml:mi>j</mml:mi>
<mml:mo>&#x3d;</mml:mo>
<mml:mn>1</mml:mn>
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</mml:mstyle>
<mml:mrow>
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<mml:mi>w</mml:mi>
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<mml:mi>i</mml:mi>
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<mml:mrow>
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<mml:mi>i</mml:mi>
</mml:msub>
<mml:mo>&#x2212;</mml:mo>
<mml:mover accent="true">
<mml:mi>x</mml:mi>
<mml:mo>&#xaf;</mml:mo>
</mml:mover>
</mml:mrow>
</mml:mfenced>
</mml:mrow>
<mml:mrow>
<mml:mfenced open="(" close=")" separators="|">
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<mml:mi>x</mml:mi>
<mml:mi>j</mml:mi>
</mml:msub>
<mml:mo>&#x2212;</mml:mo>
<mml:mover accent="true">
<mml:mi>x</mml:mi>
<mml:mo>&#xaf;</mml:mo>
</mml:mover>
</mml:mrow>
</mml:mfenced>
</mml:mrow>
</mml:mrow>
</mml:mrow>
</mml:mrow>
</mml:mrow>
<mml:mrow>
<mml:mrow>
<mml:mfenced open="(" close=")" separators="|">
<mml:mrow>
<mml:mstyle displaystyle="true">
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<mml:mo>&#x2211;</mml:mo>
<mml:mrow>
<mml:mi>i</mml:mi>
<mml:mo>&#x3d;</mml:mo>
<mml:mn>1</mml:mn>
</mml:mrow>
<mml:mi>n</mml:mi>
</mml:msubsup>
</mml:mstyle>
<mml:mstyle displaystyle="true">
<mml:msubsup>
<mml:mo>&#x2211;</mml:mo>
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<mml:mo>&#x3d;</mml:mo>
<mml:mn>1</mml:mn>
</mml:mrow>
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</mml:msubsup>
</mml:mstyle>
<mml:msub>
<mml:mi>w</mml:mi>
<mml:mrow>
<mml:mi>i</mml:mi>
<mml:mi>j</mml:mi>
</mml:mrow>
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</mml:mrow>
</mml:mfenced>
</mml:mrow>
<mml:mstyle displaystyle="true">
<mml:msubsup>
<mml:mo>&#x2211;</mml:mo>
<mml:mrow>
<mml:mi>i</mml:mi>
<mml:mo>&#x3d;</mml:mo>
<mml:mn>1</mml:mn>
</mml:mrow>
<mml:mi>n</mml:mi>
</mml:msubsup>
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<mml:mn>2</mml:mn>
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<label>(6)</label>
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<mml:mrow>
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<label>(7)</label>
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<mml:mi>m</mml:mi>
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</mml:mrow>
</mml:mfenced>
</mml:mrow>
<mml:mn>2</mml:mn>
</mml:msup>
</mml:mrow>
<mml:mi>n</mml:mi>
</mml:mfrac>
</mml:mrow>
</mml:math>
<label>(8)</label>
</disp-formula>
</p>
<p>Where <italic>n</italic> represents the number of spatial units; <inline-formula id="inf5">
<mml:math id="m13">
<mml:mrow>
<mml:msub>
<mml:mi>x</mml:mi>
<mml:mi>i</mml:mi>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> and <inline-formula id="inf6">
<mml:math id="m14">
<mml:mrow>
<mml:msub>
<mml:mi>x</mml:mi>
<mml:mi>j</mml:mi>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> denote the ESV values of the <italic>ith</italic> and <italic>jth</italic> spatial units, respectively; <italic>x</italic> is the mean ESV; <inline-formula id="inf7">
<mml:math id="m15">
<mml:mrow>
<mml:msub>
<mml:mi>w</mml:mi>
<mml:mrow>
<mml:mi>i</mml:mi>
<mml:mi>j</mml:mi>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> is the spatial weight matrix; and <inline-formula id="inf8">
<mml:math id="m16">
<mml:mrow>
<mml:msub>
<mml:mover accent="true">
<mml:mi>m</mml:mi>
<mml:mo>&#x2d9;</mml:mo>
</mml:mover>
<mml:mn>0</mml:mn>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> denotes the variance.</p>
</sec>
<sec id="s2-7">
<title>2.7 Driving factor analysis of ESV</title>
<p>In this study, a 5&#xa0;km &#xd7; 5&#xa0;km grid was employed to subdivide the study area into 1,744 grid cells, and the mean values of environmental variables within each grid were extracted as feature data. Subsequent to the collection of these data, five machine learning models are constructed, including eXtreme Gradient Boosting (XGBoost), Gradient Boosting Machine (GBM), Random Forest (RF), HistGradientBoosting (HGB), and Linear Regression (LR), to predict ESV. <xref ref-type="table" rid="T3">Table 3</xref> offers a synopsis of the fundamental assumptions and the applicable scopes of the five models utilized in this study for ESV prediction. The transition from linear benchmark (LR) to tree-based models facilitates a comprehensive comparison chain, thereby enabling the validation of nonlinear gains. The algorithms RF, GBM, XGBoost, and HGB do not prespecify functional forms, a property that enables them to capture nonlinearities, interactions, and threshold effects between ESV and multisource drivers. The XGBoost and HGB models have been demonstrated to be effective tools for the analysis of large, high-dimensional datasets, with the capacity to meet the demands of multi-scale ESV mapping (<xref ref-type="bibr" rid="B4">Chen and Guestrin, 2016</xref>; <xref ref-type="bibr" rid="B15">Ke et al., 2017</xref>; <xref ref-type="bibr" rid="B63">Zhang et al., 2020</xref>).</p>
<table-wrap id="T3" position="float">
<label>TABLE 3</label>
<caption>
<p>The fundamental assumptions and the applicable scopes of ML models.</p>
</caption>
<table>
<thead valign="top">
<tr>
<th align="center">Model</th>
<th align="center">Key assumptions</th>
<th align="center">Applicable scope</th>
</tr>
</thead>
<tbody valign="top">
<tr>
<td align="center">LR</td>
<td align="center">Linear relationship between predictors and response; no severe multicollinearity among predictors</td>
<td align="center">Small to medium datasets with approximately linear relationships or where interpretability is paramount</td>
</tr>
<tr>
<td align="center">RF</td>
<td align="center">No distributional assumptions; handles high-order interactions and multicollinearity via bootstrap sampling and random feature subspacing</td>
<td align="center">Medium- to high-dimensional data with nonlinearities, interactions, outliers, and missing values</td>
</tr>
<tr>
<td align="center">GBM</td>
<td align="center">Differentiable loss function; additive model of weak learners (typically regression trees) sequentially reduces residuals</td>
<td align="center">Continuous or discrete responses exhibiting nonlinear predictor&#x2013;target relationships; moderate to large sample sizes</td>
</tr>
<tr>
<td align="center">XGBoost</td>
<td align="center">Same as GBM, but employs second-order derivative (Hessian) approximation and regularization</td>
<td align="center">Large-scale, high-dimensional, sparse, or missing-value datasets demanding high predictive accuracy and efficient tuning</td>
</tr>
<tr>
<td align="center">HGB</td>
<td align="center">Same as GBM, but uses histogram-based binning; no strict assumptions on feature distributions</td>
<td align="center">Large datasets with high-dimensional features and stringent memory/time constraints; handles missing and categorical features natively</td>
</tr>
</tbody>
</table>
</table-wrap>
<p>The dependent variable in this study was ESV, and the independent variables included six natural factors, elevation (Ele), slope, precipitation (Pre), temperature (Tem), soil organic carbon (SOC) and fractional vegetation cover (FVC), and two socioeconomic factors, human activity intensity (HAI) and gross domestic product (GDP). The distributions of the eight variation are shown in <xref ref-type="fig" rid="F3">Figure 3</xref> (The elevation is shown in <xref ref-type="fig" rid="F1">Figure 1</xref>). To quantify the effect of each factor on ESV, the study incorporated the SHAP analysis method. The dataset was split into two parts randomly: a test set and a training set. The percentage of the former to the latter was 20% and 80%, respectively. The performance of the model was evaluated based on the coefficient of determination (<italic>R</italic>
<sup>2</sup>), the mean absolute error (MAE), and the root mean square error (RMSE). The optimal model is applied to the trained model for driving factor detection.</p>
<fig id="F3" position="float">
<label>FIGURE 3</label>
<caption>
<p>The spatial distribution of driving factors. <bold>(a)</bold> Temperature, <bold>(b)</bold> Precipitation, <bold>(c)</bold> Slope, <bold>(d)</bold> FVC, <bold>(e)</bold> HAI, <bold>(f)</bold> GDP, <bold>(g)</bold> SOC. Note: human activity intensity (HAI), fractional vegetation cover (FVC), gross domestic product (GDP) and soil organic carbon (SOC).</p>
</caption>
<graphic xlink:href="fenvs-13-1640840-g003.tif">
<alt-text content-type="machine-generated">Map images show geographic data across a region, labeled (a) to (g). (a) Temperature map with a range of 11.8 to 21.9 degrees Celsius. (b) Precipitation map in millimeters with values from 136.9 to 202.7. (c) Slope map with a range of 0 to 72.4 degrees. (d) Fractional Vegetation Cover (FVC) map with values from 0 to 1. (e) Human Activity Intensity (HAI) map from 0.08 to 0.94. (f) GDP map in ten thousand yuan per square kilometer, ranging from 294 to 19,918. (g) Soil Organic Carbon (SOC) map with a range of 4.31 to 40.35 grams per kilogram.</alt-text>
</graphic>
</fig>
<p>The extraction of elevation and slope data was conducted using DEM, while the calculation of the FVC and HAI indicators was informed by relevant literature.</p>
<p>The calculation of FVC are shown in <xref ref-type="disp-formula" rid="e9">Equation 9</xref> (<xref ref-type="bibr" rid="B18">Li et al., 2021</xref>):<disp-formula id="e9">
<mml:math id="m17">
<mml:mrow>
<mml:mi>F</mml:mi>
<mml:mi>V</mml:mi>
<mml:mi>C</mml:mi>
<mml:mo>&#x3d;</mml:mo>
<mml:mfrac>
<mml:mrow>
<mml:mi>N</mml:mi>
<mml:mi>D</mml:mi>
<mml:mi>V</mml:mi>
<mml:mi>I</mml:mi>
<mml:mo>&#x2212;</mml:mo>
<mml:mi>N</mml:mi>
<mml:mi>D</mml:mi>
<mml:mi>V</mml:mi>
<mml:msub>
<mml:mi>I</mml:mi>
<mml:mi>min</mml:mi>
</mml:msub>
</mml:mrow>
<mml:mrow>
<mml:mi>N</mml:mi>
<mml:mi>D</mml:mi>
<mml:mi>V</mml:mi>
<mml:msub>
<mml:mi>I</mml:mi>
<mml:mi>max</mml:mi>
</mml:msub>
<mml:mo>&#x2212;</mml:mo>
<mml:mi>N</mml:mi>
<mml:mi>D</mml:mi>
<mml:mi>V</mml:mi>
<mml:msub>
<mml:mi>I</mml:mi>
<mml:mi>min</mml:mi>
</mml:msub>
</mml:mrow>
</mml:mfrac>
</mml:mrow>
</mml:math>
<label>(9)</label>
</disp-formula>
</p>
<p>In the formula, FVC represents the vegetation cover (%), NDVI is the normalized difference vegetation index, with the multi-year monthly average used in this study. The NDVI value of pixels that are fully covered by vegetation is known as NDVI<sub>max</sub>, whereas the NDVI value of bare soil or regions devoid of vegetation cover is known as NDVI<sub>min</sub>.</p>
<p>The HAI was employed to quantify the intensity of human interference in a specific region&#x2019;s landscape. The HAI value ranged from 0 to 1, with higher values indicating greater human activity impact on the landscape components. The formulas are shown in <xref ref-type="disp-formula" rid="e10">Equation 10</xref> (<xref ref-type="bibr" rid="B51">Yan et al., 2014</xref>):<disp-formula id="e10">
<mml:math id="m18">
<mml:mrow>
<mml:mi>H</mml:mi>
<mml:mi>A</mml:mi>
<mml:mi>I</mml:mi>
<mml:mo>&#x3d;</mml:mo>
<mml:mstyle displaystyle="true">
<mml:munderover>
<mml:mo>&#x2211;</mml:mo>
<mml:mrow>
<mml:mi>i</mml:mi>
<mml:mo>&#x3d;</mml:mo>
<mml:mn>1</mml:mn>
</mml:mrow>
<mml:mi>N</mml:mi>
</mml:munderover>
</mml:mstyle>
<mml:mfrac>
<mml:mrow>
<mml:msub>
<mml:mi>A</mml:mi>
<mml:mi>i</mml:mi>
</mml:msub>
<mml:msub>
<mml:mi>P</mml:mi>
<mml:mi>i</mml:mi>
</mml:msub>
</mml:mrow>
<mml:mrow>
<mml:mi>T</mml:mi>
<mml:mi>A</mml:mi>
</mml:mrow>
</mml:mfrac>
</mml:mrow>
</mml:math>
<label>(10)</label>
</disp-formula>
</p>
<p>Where, HAI is the comprehensive index of anthropogenic impacts, N is the number of landscape types, Ai is the area of the <italic>i</italic>th type of landscape, <italic>P</italic>
<sub>
<italic>i</italic>
</sub> is the intensity coefficient of anthropogenic impacts of the <italic>i</italic>th type of landscape, the <italic>P</italic>
<sub>
<italic>i</italic>
</sub> in this study were given values of 0.12, 0.61, 0.09, 0.12, 0.94, and 0.08 for forestland, farmland, grassland, water body, construction land, and unused land, respectively, based on results of other studies (<xref ref-type="bibr" rid="B51">Yan et al., 2014</xref>). TA is the total area of the landscape.</p>
<p>In this study, Pearson&#x2019;s correlation coefficient was employed to evaluate the relationship between each factor and SHAP values. In order to more accurately depict the nonlinear relationship between the eigenfactors and SHAP values, the LOWESS (locally weighted scatter smoothing) method was introduced to smooth the data. SHAP (SHapley Additive exPlanations) is a game theory-based method for interpreting machine learning models. The methodology employed entails the quantification of the marginal contribution of each input feature variable to the prediction results of individual samples through the utilization of Shapley values (<xref ref-type="bibr" rid="B6">Dandolo et al., 2023</xref>). This approach not only elucidates the trend of model predictors but also underscores the significance of features. The following mathematical expressions in <xref ref-type="disp-formula" rid="e11">Equation 11</xref> are pertinent to this discussion (<xref ref-type="bibr" rid="B1">Aas et al., 2021</xref>):<disp-formula id="e11">
<mml:math id="m19">
<mml:mrow>
<mml:msub>
<mml:mi>y</mml:mi>
<mml:mi>i</mml:mi>
</mml:msub>
<mml:mo>&#x3d;</mml:mo>
<mml:msub>
<mml:mi>y</mml:mi>
<mml:mrow>
<mml:mi>b</mml:mi>
<mml:mi>a</mml:mi>
<mml:mi>s</mml:mi>
<mml:mi>e</mml:mi>
</mml:mrow>
</mml:msub>
<mml:mo>&#x2b;</mml:mo>
<mml:mi>f</mml:mi>
<mml:mrow>
<mml:mfenced open="(" close=")" separators="|">
<mml:mrow>
<mml:msub>
<mml:mi>x</mml:mi>
<mml:mrow>
<mml:mi>i</mml:mi>
<mml:mo>,</mml:mo>
<mml:mn>1</mml:mn>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:mfenced>
</mml:mrow>
<mml:mo>&#x2b;</mml:mo>
<mml:mi>f</mml:mi>
<mml:mrow>
<mml:mfenced open="(" close=")" separators="|">
<mml:mrow>
<mml:msub>
<mml:mi>x</mml:mi>
<mml:mrow>
<mml:mi>i</mml:mi>
<mml:mo>,</mml:mo>
<mml:mn>2</mml:mn>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:mfenced>
</mml:mrow>
<mml:mo>&#x2b;</mml:mo>
<mml:mo>&#x22ef;</mml:mo>
<mml:mo>&#x2b;</mml:mo>
<mml:mi>f</mml:mi>
<mml:mrow>
<mml:mfenced open="(" close=")" separators="|">
<mml:mrow>
<mml:msub>
<mml:mi>x</mml:mi>
<mml:mrow>
<mml:mi>i</mml:mi>
<mml:mo>,</mml:mo>
<mml:mi>j</mml:mi>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:mfenced>
</mml:mrow>
<mml:mo>&#x2b;</mml:mo>
<mml:mo>&#x22ef;</mml:mo>
<mml:mi>f</mml:mi>
<mml:mrow>
<mml:mfenced open="(" close=")" separators="|">
<mml:mrow>
<mml:msub>
<mml:mi>x</mml:mi>
<mml:mrow>
<mml:mi>i</mml:mi>
<mml:mo>,</mml:mo>
<mml:mi>k</mml:mi>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:mfenced>
</mml:mrow>
</mml:mrow>
</mml:math>
<label>(11)</label>
</disp-formula>
</p>
<p>In this equation, y<sub>i</sub> denotes the predicted ESV value of the <italic>i</italic>th sample, y<sub>base</sub> signifies the mean ESV prediction of all samples, x<sub>i</sub> represents the observed ESV value of the <italic>i</italic>th sample, f (x<sub>i,j</sub>) is the SHAP value of the <italic>j</italic>th feature of the <italic>i</italic>th sample, and k denotes the number of input features.</p>
<p>In this study, the Bootstrap method is employed to analyze the uncertainty in the prediction results of SHAP values. Specifically, the generation of multiple Bootstrap samples is achieved through the implementation of 100 resampling with put-back from the original sample. For each Bootstrap sample, the corresponding statistic is computed, thereby estimating the probability distribution of the original statistic. Consequently, we are equipped to derive confidence intervals for the raw statistic. In this context, 95% confidence intervals are delineated by referencing the 2.5% and 97.5% quantiles of the Bootstrap sample statistic. The width of the confidence interval is a critical metric for evaluating the precision of the estimate. Narrower confidence intervals are indicative of precise estimates, while wider intervals suggest greater uncertainty (<xref ref-type="bibr" rid="B36">Sothe et al., 2022</xref>). The Bootstrap method has been demonstrated to effectively quantify the uncertainty of the prediction results of SHAP values, thereby providing a more reliable basis for model interpretive analysis.</p>
<p>As demonstrated in the following section, partial dependence plots facilitate a more thorough elucidation of the specific association patterns between each feature and the target variable. The intersection of the dashed line (SHAP &#x3d; 0) with the LOWESS trend line delineates the SHAP values into two regimes: values above the dashed line (SHAP &#x3e;0) indicate a positive influence of the driver on ESV, whereas values below the dashed line (SHAP &#x3c;0) denote an inhibitory effect (<xref ref-type="bibr" rid="B27">Lu et al., 2025</xref>).</p>
</sec>
</sec>
<sec sec-type="results" id="s3">
<title>3 Results</title>
<sec id="s3-1">
<title>3.1 Analysis of LUC of the GUB</title>
<p>
<xref ref-type="fig" rid="F4">Figure 4</xref> illustrates the distribution of landscape types in GUB in 1990 (a), 2000 (b), 2010 (c), and 2020 (d). <xref ref-type="table" rid="T4">Table 4</xref> presents a summary of the observed changes in these landscape types. The findings indicated that forestland has remained the predominant landscape type in GUB, encompassing over 74% of the total area. From 1990 to 2020, the area of forestland exhibited a reduction of 388.19&#xa0;km<sup>2</sup>. The second-largest landscape type, farmland, exhibited relatively stable conditions. Even while construction land made up a very small percentage of the total area (less than 2%), this category had grown significantly, with a net gain of 363.97&#xa0;km<sup>2</sup>, or 105.21%. The area of water bodies increased by 12.86&#xa0;km<sup>2</sup>, while the area of grassland increased by 15.01&#xa0;km<sup>2</sup>. Unused land exhibited a general decreasing trend, with a small proportion throughout the study period, remaining consistently below 0.1%.</p>
<fig id="F4" position="float">
<label>FIGURE 4</label>
<caption>
<p>Distribution of LUC of the GUB, 1990&#x2013;2020. <bold>(a)</bold> 1990, <bold>(b)</bold> 2000, <bold>(c)</bold> 2010, <bold>(d)</bold> 2020.</p>
</caption>
<graphic xlink:href="fenvs-13-1640840-g004.tif">
<alt-text content-type="machine-generated">Four maps illustrating land use changes from 1990 to 2020. Each map shows areas classified as farmland, forest, grassland, water bodies, construction land, and unused land. The progression indicates an increase in construction land over time, particularly in 2010 and 2020, while forests and grasslands remain prominent. A legend provides color codes for each land type.</alt-text>
</graphic>
</fig>
<table-wrap id="T4" position="float">
<label>TABLE 4</label>
<caption>
<p>LUC characteristics of the GUB, 1990&#x2013;2020.</p>
</caption>
<table>
<thead valign="top">
<tr>
<th align="center">Year</th>
<th align="center">Statistics</th>
<th align="center">Farmland</th>
<th align="center">Forestland</th>
<th align="center">Grassland</th>
<th align="center">Water body</th>
<th align="center">Construction land</th>
<th align="center">Unused land</th>
</tr>
</thead>
<tbody valign="top">
<tr>
<td rowspan="2" align="center">1990</td>
<td align="center">Area (km<sup>2</sup>)</td>
<td align="center">6813.93</td>
<td align="center">29541.85</td>
<td align="center">2287.15</td>
<td align="center">369.96</td>
<td align="center">345.95</td>
<td align="center">2.36</td>
</tr>
<tr>
<td align="center">(%)</td>
<td align="center">17.31%</td>
<td align="center">75.05%</td>
<td align="center">5.81%</td>
<td align="center">0.94%</td>
<td align="center">0.88%</td>
<td align="center">0.01%</td>
</tr>
<tr>
<td rowspan="2" align="center">2000</td>
<td align="center">Area (km<sup>2</sup>)</td>
<td align="center">6806.37</td>
<td align="center">29560.41</td>
<td align="center">2246.3</td>
<td align="center">379.97</td>
<td align="center">367.24</td>
<td align="center">2.2</td>
</tr>
<tr>
<td align="center">(%)</td>
<td align="center">17.29%</td>
<td align="center">75.10%</td>
<td align="center">5.71%</td>
<td align="center">0.97%</td>
<td align="center">0.93%</td>
<td align="center">0.01%</td>
</tr>
<tr>
<td rowspan="2" align="center">2010</td>
<td align="center">Area (km<sup>2</sup>)</td>
<td align="center">6946.52</td>
<td align="center">29403.99</td>
<td align="center">2170.4</td>
<td align="center">383.03</td>
<td align="center">459.34</td>
<td align="center">2.14</td>
</tr>
<tr>
<td align="center">(%)</td>
<td align="center">17.65%</td>
<td align="center">74.69%</td>
<td align="center">5.51%</td>
<td align="center">0.97%</td>
<td align="center">1.17%</td>
<td align="center">0.01%</td>
</tr>
<tr>
<td rowspan="2" align="center">2020</td>
<td align="center">Area (km<sup>2</sup>)</td>
<td align="center">6813.94</td>
<td align="center">29153.66</td>
<td align="center">2302.16</td>
<td align="center">382.83</td>
<td align="center">709.92</td>
<td align="center">2.17</td>
</tr>
<tr>
<td align="center">(%)</td>
<td align="center">17.31%</td>
<td align="center">74.06%</td>
<td align="center">5.85%</td>
<td align="center">0.97%</td>
<td align="center">1.80%</td>
<td align="center">0.01%</td>
</tr>
<tr>
<td rowspan="2" align="center">1990&#x2013;2020</td>
<td align="center">Area change (km<sup>2</sup>)</td>
<td align="center">0.01</td>
<td align="center">&#x2212;388.19</td>
<td align="center">15.01</td>
<td align="center">12.86</td>
<td align="center">363.97</td>
<td align="center">&#x2212;0.19</td>
</tr>
<tr>
<td align="center">Change (%)</td>
<td align="center">0.00%</td>
<td align="center">&#x2212;1.31%</td>
<td align="center">0.66%</td>
<td align="center">3.48%</td>
<td align="center">105.21%</td>
<td align="center">&#x2212;8.00%</td>
</tr>
</tbody>
</table>
</table-wrap>
</sec>
<sec id="s3-2">
<title>3.2 Temporal changes of ESV of the GUB</title>
<sec id="s3-2-1">
<title>3.2.1 Analysis of ESV evolution by land use type</title>
<p>The ESV of the GUB exhibited a trend of initial increase followed by a decrease, resulting in a net reduction of 21.5 &#xd7; 10<sup>8</sup> yuan (<xref ref-type="table" rid="T5">Table 5</xref>). Among the various land use types, forestland contributed the most to the overall ESV, accounting for over 83% of the total. This proportion is significantly higher than that of other landscape types. However, the proportion of forestland has shown a declining trend. Water bodies were the second most significant contributor to the ESV, representing over 6% of the total. The ESV of water bodies demonstrated a net increase of 5.67 &#xd7; 10<sup>8</sup> yuan. The grassland category exhibited an initial decline, followed by an increase. The ESV of farmland remained unchanged. The contribution of unused land was insignificant, accounting for less than 0.01% of the total value. Furthermore, the ESV of constructed land was not identified.</p>
<table-wrap id="T5" position="float">
<label>TABLE 5</label>
<caption>
<p>Temporal change of ESV of different land use of the GUB, 1990&#x2013;2020.</p>
</caption>
<table>
<thead valign="top">
<tr>
<th align="center">Year</th>
<th align="center">Statistics</th>
<th align="center">Farmland</th>
<th align="center">Forestland</th>
<th align="center">Grassland</th>
<th align="center">Water body</th>
<th align="center">Unused land</th>
<th align="center">Total</th>
</tr>
</thead>
<tbody valign="top">
<tr>
<td rowspan="2" align="center">1990</td>
<td align="center">Value (10<sup>8</sup>/year)</td>
<td align="center">110.59</td>
<td align="center">2143.59</td>
<td align="center">148.04</td>
<td align="center">162.98</td>
<td align="center">0.0019</td>
<td align="center">2565.20</td>
</tr>
<tr>
<td align="center">Ratio (%)</td>
<td align="center">4.31%</td>
<td align="center">83.56%</td>
<td align="center">5.77%</td>
<td align="center">6.35%</td>
<td align="center">0.00%</td>
<td align="center">100%</td>
</tr>
<tr>
<td rowspan="2" align="center">2000</td>
<td align="center">Value (10<sup>8</sup>/year)</td>
<td align="center">110.47</td>
<td align="center">2144.93</td>
<td align="center">145.39</td>
<td align="center">167.39</td>
<td align="center">0.0018</td>
<td align="center">2568.19</td>
</tr>
<tr>
<td align="center">Ratio (%)</td>
<td align="center">4.30%</td>
<td align="center">83.52%</td>
<td align="center">5.66%</td>
<td align="center">6.52%</td>
<td align="center">0.00%</td>
<td align="center">100%</td>
</tr>
<tr>
<td rowspan="2" align="center">2010</td>
<td align="center">Value (10<sup>8</sup>/year)</td>
<td align="center">112.75</td>
<td align="center">2133.58</td>
<td align="center">140.48</td>
<td align="center">168.74</td>
<td align="center">0.0018</td>
<td align="center">2555.55</td>
</tr>
<tr>
<td align="center">Ratio (%)</td>
<td align="center">4.41%</td>
<td align="center">83.49%</td>
<td align="center">5.50%</td>
<td align="center">6.60%</td>
<td align="center">0.00%</td>
<td align="center">100%</td>
</tr>
<tr>
<td rowspan="2" align="center">2020</td>
<td align="center">Value (10<sup>8</sup>/year)</td>
<td align="center">110.59</td>
<td align="center">2115.42</td>
<td align="center">149.01</td>
<td align="center">168.65</td>
<td align="center">0.0018</td>
<td align="center">2543.67</td>
</tr>
<tr>
<td align="center">Ratio (%)</td>
<td align="center">4.35%</td>
<td align="center">83.16%</td>
<td align="center">5.86%</td>
<td align="center">6.63%</td>
<td align="center">0.00%</td>
<td align="center">100%</td>
</tr>
<tr>
<td rowspan="2" align="center">1990&#x2013;2000</td>
<td align="center">Value (10<sup>8</sup>/year)</td>
<td align="center">&#x2212;0.12</td>
<td align="center">1.35</td>
<td align="center">&#x2212;2.64</td>
<td align="center">4.41</td>
<td align="center">&#x2212;0.0001</td>
<td align="center">2.99</td>
</tr>
<tr>
<td align="center">Ratio (%)</td>
<td align="center">&#x2212;0.11%</td>
<td align="center">0.06%</td>
<td align="center">&#x2212;1.79%</td>
<td align="center">2.70%</td>
<td align="center">&#x2212;6.83%</td>
<td align="center">0%</td>
</tr>
<tr>
<td rowspan="2" align="center">2000&#x2013;2010</td>
<td align="center">Value (10<sup>8</sup>/year)</td>
<td align="center">2.27</td>
<td align="center">&#x2212;11.35</td>
<td align="center">&#x2212;4.91</td>
<td align="center">1.35</td>
<td align="center">0.0000</td>
<td align="center">&#x2212;12.64</td>
</tr>
<tr>
<td align="center">Ratio (%)</td>
<td align="center">2.06%</td>
<td align="center">&#x2212;0.53%</td>
<td align="center">&#x2212;3.38%</td>
<td align="center">0.81%</td>
<td align="center">&#x2212;2.59%</td>
<td align="center">0%</td>
</tr>
<tr>
<td rowspan="2" align="center">2010&#x2013;2020</td>
<td align="center">Value (10<sup>8</sup>/year)</td>
<td align="center">&#x2212;2.15</td>
<td align="center">&#x2212;18.16</td>
<td align="center">8.53</td>
<td align="center">&#x2212;0.09</td>
<td align="center">0.0000</td>
<td align="center">&#x2212;11.87</td>
</tr>
<tr>
<td align="center">Ratio (%)</td>
<td align="center">&#x2212;1.91%</td>
<td align="center">&#x2212;0.85%</td>
<td align="center">6.07%</td>
<td align="center">&#x2212;0.05%</td>
<td align="center">1.37%</td>
<td align="center">0%</td>
</tr>
<tr>
<td rowspan="2" align="center">1990&#x2013;2020</td>
<td align="center">Value (10<sup>8</sup>/year)</td>
<td align="center">0.00</td>
<td align="center">&#x2212;28.17</td>
<td align="center">0.97</td>
<td align="center">5.67</td>
<td align="center">&#x2212;0.0002</td>
<td align="center">&#x2212;21.53</td>
</tr>
<tr>
<td align="center">Ratio (%)</td>
<td align="center">0.00%</td>
<td align="center">&#x2212;1.31%</td>
<td align="center">0.66%</td>
<td align="center">3.48%</td>
<td align="center">&#x2212;8.00%</td>
<td align="center">&#x2212;1%</td>
</tr>
</tbody>
</table>
</table-wrap>
</sec>
<sec id="s3-2-2">
<title>3.2.2 Analysis of the value by ecosystem services function</title>
<p>
<xref ref-type="fig" rid="F5">Figure 5</xref> illustrates the value of ecosystem services by function. It is evident that regulating services represent the dominant ecosystem functions of the GUB, significantly surpassing other functions. The two most important factors, climate regulation and hydrological regulation, together make up almost half of the total value. Soil conservation and biodiversity consistently occupy the third and fourth positions, respectively, while supporting services are also significant ecosystem functions in the region, following regulating services.</p>
<fig id="F5" position="float">
<label>FIGURE 5</label>
<caption>
<p>Temporal change of ESV by function of the GUB, 1990&#x2013;2020. Note: The horizontal axis showed the ESV of individual function, the vertical axis showed the types of individual function. The comparison included the ranking, percentage (%), and value (&#xd7;10<sup>8</sup> yuan). <bold>(a)</bold> 1990, <bold>(b)</bold> 2000, <bold>(c)</bold> 2010, <bold>(d)</bold> 2020.</p>
</caption>
<graphic xlink:href="fenvs-13-1640840-g005.tif">
<alt-text content-type="machine-generated">Four bubble charts compare ecosystem services from 1990 to 2020, labeled a to d. Each chart includes categories like food production, water supply, and biodiversity, with bubbles showing value in yuan and percentages. The bubbles&#x27; size and color vary, indicating the significance and distribution of each service over time.</alt-text>
</graphic>
</fig>
<p>With regard to the trend in the proportion of service values, there is an overall decline in the values attributed to raw material production, climate regulation, soil conservation, gas regulation, and nutrient cycling. Conversely, the trends observed in environmental purification, hydrological regulation, biodiversity, and aesthetic landscape values indicate an initial increase, followed by a subsequent decrease. The patterns observed in food production and water supply demonstrate fluctuations.</p>
</sec>
</sec>
<sec id="s3-3">
<title>3.3 Spatial variation of ESV based on grid scale</title>
<p>The natural breaks method was utilised for the classification of the ESV index (ESVI) across the various grids into five distinct categories. The categories are ordered from low to high as follows: The categories are defined as follows: low (ESVI &#x2264;24000 yuan/hm<sup>2</sup>), lower (24000 yuan/hm<sup>2</sup> &#x3c; ESVI &#x2264;48000 yuan/hm<sup>2</sup>), central (48000 yuan/hm<sup>2</sup> &#x3c; ESVI &#x2264;64000 yuan/hm<sup>2</sup>), higher (64000 yuan/hm<sup>2</sup> &#x3c; ESVI &#x2264;88000 yuan/hm<sup>2</sup>), and high (88000 yuan/hm<sup>2</sup> &#x3c; ESVI). The resulting classification produced spatial variation maps of ESV of the GUB (see <xref ref-type="fig" rid="F6">Figure 6</xref>). The distribution exhibited a distinctive pattern, with elevated values observed at the county boundaries and diminished values at the county centres. The boundaries of Shangyou County and Chongyi County were the main locations with the greatest ESV levels. In contrast, areas with low and relatively low ESV were predominantly situated in Ruijin City, Shicheng County, Nankang District and Xinfeng County, Dayu County.</p>
<fig id="F6" position="float">
<label>FIGURE 6</label>
<caption>
<p>Spatial distribution of ESV based on grid of the GUB, 1990&#x2013;2020. <bold>(a)</bold> 1990, <bold>(b)</bold> 2000, <bold>(c)</bold> 2010, <bold>(d)</bold> 2020.</p>
</caption>
<graphic xlink:href="fenvs-13-1640840-g006.tif">
<alt-text content-type="machine-generated">Maps displaying ESV zones from 1990 to 2020 in a region, divided into five categories: low, lower, central, higher, and high. Over time, zones transition mainly from yellow (central) to more red (high) areas, indicating increased environmental sensitivity. A legend is provided for reference.</alt-text>
</graphic>
</fig>
<p>Comparing the ESV levels at two different times shows that a &#x201c;grade stability zone&#x201d; is created if the two ESV levels are the same. The latter is referred to as a &#x201c;grade up zone&#x201d; if its ESV level shows improvement. Lastly, a &#x201c;grade drop zone&#x201d; is created if the level of the subsequent ESV declines. The results indicate that from 1990 to 2000, 95.82% of the area exhibited stable ecosystem service value (ESV) levels, while 3.42% of the area demonstrated an increase in ESV levels. Conversely, only 0.76% of the area exhibited a decrease in ESV levels, representing a very small proportion and distributed sporadically (<xref ref-type="fig" rid="F7">Figure 7</xref>). From 2000 to 2010, 89.88% of the area exhibited stable ecosystem service levels, while 0.44% experienced an increase, which was minimal and distributed sporadically. Nevertheless, a decrease in levels was observed in 9.68% of the area. From 2010 to 2020, 95.66% of the area exhibited stable ESV levels, with only 0.17% demonstrating an increase, representing a minimal proportion and sporadic distribution. Conversely, a decrease in levels was observed in 4.16% of the area. From 1990 to 2020, 88.13% of the area exhibited stable ESV levels, with 0.69% demonstrating an increase. Conversely, 11.19% of the area exhibited a decline in ecosystem service levels, with the greatest concentration of affected areas observed in Dayu County, Shangyou County, Zhanggong District, and Nankang District. From a broader perspective, the proportion of areas with decreasing ESV levels of the GUB is significantly higher than those with increasing levels, indicating a risk of decline for regional ESV.</p>
<fig id="F7" position="float">
<label>FIGURE 7</label>
<caption>
<p>Temporal evolution of ESV grade of the GUB, 1990&#x2013;2000, 2000&#x2013;2010, 2010&#x2013;2020 and 1990&#x2013;2020. <bold>(a)</bold> 1990-2000, <bold>(b)</bold> 2000-2010, <bold>(c)</bold> 2010-2020, <bold>(d)</bold> 2000-2020.</p>
</caption>
<graphic xlink:href="fenvs-13-1640840-g007.tif">
<alt-text content-type="machine-generated">Maps of different time periods (1990-2000, 2000-2010, 2010-2020, 2000-2020) showing ESV zones in a region. Red indicates ESV grade drop zones, yellow indicates stability zones, and blue indicates rating up zones. Each map includes a grid pattern and legend for reference.</alt-text>
</graphic>
</fig>
</sec>
<sec id="s3-4">
<title>3.4 Spatial variation of ESV based on administrative scale</title>
<p>This study selects 18 counties or districts of the GUB as the subjects of analysis, and the differences in ESV among districts/counties are presented in <xref ref-type="table" rid="T6">Table 6</xref>. During study period, the ESV of Shangyou and Ganxian exhibited an increase of 0.21% and 0.67%, respectively, while the ESV in the remaining 16 counties or districts demonstrated a decline. Zhanggong exhibited the most significant decline, at 8.44%, with Nankang, Dayu, Longnan, and Dingnan also demonstrating declines exceeding 1%.</p>
<table-wrap id="T6" position="float">
<label>TABLE 6</label>
<caption>
<p>Variation and change rate of ESV based on county scale of the GUB, 1990&#x2013;2020.</p>
</caption>
<table>
<thead valign="top">
<tr>
<th rowspan="2" align="center">Counties/Districts</th>
<th colspan="4" align="center">Variation</th>
<th colspan="4" align="center">Change rate(%)</th>
</tr>
<tr>
<th align="center">1990&#x2013;2000</th>
<th align="center">2000&#x2013;2010</th>
<th align="center">2010&#x2013;2020</th>
<th align="center">1990&#x2013;2020</th>
<th align="center">1990&#x2013;2000</th>
<th align="center">2000&#x2013;2010</th>
<th align="center">2010&#x2013;2020</th>
<th align="center">1990&#x2013;2020</th>
</tr>
</thead>
<tbody valign="top">
<tr>
<td align="center">Shangyou</td>
<td align="center">6.37</td>
<td align="center">0.23</td>
<td align="center">0.89</td>
<td align="center">&#x2212;0.25</td>
<td align="center">0.74</td>
<td align="center">&#x2212;0.11</td>
<td align="center">&#x2212;0.42</td>
<td align="center">0.21</td>
</tr>
<tr>
<td align="center">Yudu</td>
<td align="center">0.35</td>
<td align="center">1.12</td>
<td align="center">0.89</td>
<td align="center">1.10</td>
<td align="center">0.04</td>
<td align="center">&#x2212;0.55</td>
<td align="center">&#x2212;0.42</td>
<td align="center">&#x2212;0.92</td>
</tr>
<tr>
<td align="center">Huichang</td>
<td align="center">&#x2212;0.13</td>
<td align="center">0.87</td>
<td align="center">0.59</td>
<td align="center">0.85</td>
<td align="center">&#x2212;0.02</td>
<td align="center">&#x2212;0.43</td>
<td align="center">&#x2212;0.28</td>
<td align="center">&#x2212;0.72</td>
</tr>
<tr>
<td align="center">Xinfeng</td>
<td align="center">&#x2212;1.72</td>
<td align="center">0.19</td>
<td align="center">0.95</td>
<td align="center">0.87</td>
<td align="center">&#x2212;0.20</td>
<td align="center">&#x2212;0.09</td>
<td align="center">&#x2212;0.44</td>
<td align="center">&#x2212;0.73</td>
</tr>
<tr>
<td align="center">Quannan</td>
<td align="center">0.75</td>
<td align="center">0.96</td>
<td align="center">0.31</td>
<td align="center">0.63</td>
<td align="center">0.09</td>
<td align="center">&#x2212;0.47</td>
<td align="center">&#x2212;0.15</td>
<td align="center">&#x2212;0.53</td>
</tr>
<tr>
<td align="center">Xingguo</td>
<td align="center">0.28</td>
<td align="center">0.06</td>
<td align="center">0.39</td>
<td align="center">0.21</td>
<td align="center">0.03</td>
<td align="center">&#x2212;0.03</td>
<td align="center">&#x2212;0.18</td>
<td align="center">&#x2212;0.18</td>
</tr>
<tr>
<td align="center">Nankang</td>
<td align="center">&#x2212;3.92</td>
<td align="center">1.89</td>
<td align="center">5.32</td>
<td align="center">4.56</td>
<td align="center">&#x2212;0.46</td>
<td align="center">&#x2212;0.93</td>
<td align="center">&#x2212;2.48</td>
<td align="center">&#x2212;3.83</td>
</tr>
<tr>
<td align="center">Dayu</td>
<td align="center">&#x2212;1.37</td>
<td align="center">5.05</td>
<td align="center">1.70</td>
<td align="center">4.06</td>
<td align="center">&#x2212;0.16</td>
<td align="center">&#x2212;2.48</td>
<td align="center">&#x2212;0.79</td>
<td align="center">&#x2212;3.41</td>
</tr>
<tr>
<td align="center">Ningdu</td>
<td align="center">&#x2212;0.65</td>
<td align="center">0.31</td>
<td align="center">0.42</td>
<td align="center">0.51</td>
<td align="center">&#x2212;0.08</td>
<td align="center">&#x2212;0.15</td>
<td align="center">&#x2212;0.20</td>
<td align="center">&#x2212;0.42</td>
</tr>
<tr>
<td align="center">Anyuan</td>
<td align="center">0.44</td>
<td align="center">0.55</td>
<td align="center">0.45</td>
<td align="center">0.51</td>
<td align="center">0.05</td>
<td align="center">&#x2212;0.27</td>
<td align="center">&#x2212;0.21</td>
<td align="center">&#x2212;0.43</td>
</tr>
<tr>
<td align="center">Dingnan</td>
<td align="center">&#x2212;1.06</td>
<td align="center">2.27</td>
<td align="center">0.58</td>
<td align="center">1.79</td>
<td align="center">&#x2212;0.12</td>
<td align="center">&#x2212;1.12</td>
<td align="center">&#x2212;0.27</td>
<td align="center">&#x2212;1.51</td>
</tr>
<tr>
<td align="center">Xunwu</td>
<td align="center">3.29</td>
<td align="center">1.47</td>
<td align="center">0.77</td>
<td align="center">0.84</td>
<td align="center">0.38</td>
<td align="center">&#x2212;0.72</td>
<td align="center">&#x2212;0.36</td>
<td align="center">&#x2212;0.70</td>
</tr>
<tr>
<td align="center">Chongyi</td>
<td align="center">&#x2212;3.16</td>
<td align="center">0.55</td>
<td align="center">0.22</td>
<td align="center">0.88</td>
<td align="center">&#x2212;0.37</td>
<td align="center">&#x2212;0.27</td>
<td align="center">&#x2212;0.10</td>
<td align="center">&#x2212;0.74</td>
</tr>
<tr>
<td align="center">Ruijin</td>
<td align="center">&#x2212;1.05</td>
<td align="center">0.38</td>
<td align="center">0.65</td>
<td align="center">0.73</td>
<td align="center">&#x2212;0.12</td>
<td align="center">&#x2212;0.19</td>
<td align="center">&#x2212;0.30</td>
<td align="center">&#x2212;0.61</td>
</tr>
<tr>
<td align="center">Shicheng</td>
<td align="center">1.05</td>
<td align="center">0.19</td>
<td align="center">0.64</td>
<td align="center">0.32</td>
<td align="center">0.12</td>
<td align="center">&#x2212;0.09</td>
<td align="center">&#x2212;0.30</td>
<td align="center">&#x2212;0.27</td>
</tr>
<tr>
<td align="center">Zhanggong</td>
<td align="center">&#x2212;1.27</td>
<td align="center">6.78</td>
<td align="center">11.03</td>
<td align="center">10.05</td>
<td align="center">&#x2212;0.15</td>
<td align="center">&#x2212;3.33</td>
<td align="center">&#x2212;5.15</td>
<td align="center">&#x2212;8.44</td>
</tr>
<tr>
<td align="center">Ganxian</td>
<td align="center">13.24</td>
<td align="center">0.93</td>
<td align="center">0.86</td>
<td align="center">&#x2212;0.80</td>
<td align="center">1.54</td>
<td align="center">&#x2212;0.46</td>
<td align="center">&#x2212;0.40</td>
<td align="center">0.67</td>
</tr>
<tr>
<td align="center">Longnan</td>
<td align="center">&#x2212;0.33</td>
<td align="center">1.98</td>
<td align="center">1.15</td>
<td align="center">1.84</td>
<td align="center">&#x2212;0.04</td>
<td align="center">&#x2212;0.97</td>
<td align="center">&#x2212;0.54</td>
<td align="center">&#x2212;1.54</td>
</tr>
</tbody>
</table>
</table-wrap>
<p>To analyse regional variability using relative change rates (R), it was observed that from 1990 to 2000, the ESV of the GUB increased by 0.12%. The R values for three counties (Ganxian, Shangyou, Xunwu) exceeded 1, indicating that their ESV increased at a rate greater than that observed for the GUB as a whole. From 2000 to 2010, the ESV of the GUB exhibited a decrease of 0.49%. R values larger than 0 were shown in all 18 counties, suggesting that the ESV changes there were consistent with the general trend of the GUB. From 2010 to 2020, the ESV decreased by 0.47%. Once more, all counties exhibited R values greater than 0, thereby confirming the alignment of ESV changes with the overall trend.</p>
<p>From 1990 to 2020, the ESV of the GUB exhibited a net decline of 0.84%. The R values for Shangyou and Ganxian were less than 0, indicating an increase in these two counties, while the remaining 16 counties experienced a reduction in ESV, consistent with the findings of previous change rate analyses. It is noteworthy that six counties/districts (Zhanggong, Nankang, Dayu, Longnan, Dingnan, Yudu) exhibited R values greater than 1, indicating that these areas experienced greater ESV changes than the overall region, with similar trends.</p>
</sec>
<sec id="s3-5">
<title>3.5 Analysis of spatial autocorrelation of ESV</title>
<sec id="s3-5-1">
<title>3.5.1 Analysis of global scale spatial autocorrelation</title>
<p>The global Moran&#x2019;s I values for the years 1990, 2000, 2010, and 2020 were 0.318, 0.316, 0.315, and 0.316, respectively. This indicates a lack of variation across the four periods, as illustrated in <xref ref-type="fig" rid="F8">Figure 8</xref>.</p>
<fig id="F8" position="float">
<label>FIGURE 8</label>
<caption>
<p>Spatial-temporal distribution of scatter plots of the GUB, 1990&#x2013;2020. <bold>(a)</bold> 1990, <bold>(b)</bold> 2000, <bold>(c)</bold> 2010, <bold>(d)</bold> 2020.</p>
</caption>
<graphic xlink:href="fenvs-13-1640840-g008.tif">
<alt-text content-type="machine-generated">Four scatter plots comparing data from 1990, 2000, 2010, and 2020. Each plot features blue data points clustered densely around a purple trendline with a positive slope. The axes range from negative nine to nine on both x and y.</alt-text>
</graphic>
</fig>
<p>Across the four time periods, the global Moran&#x2019;s I values remained consistently positive, with significance levels below 0.01. This implies a strong positive correlation in the spatial distribution of ESV, showing that nearby grid units are highly comparable and clustered.</p>
</sec>
<sec id="s3-5-2">
<title>3.5.2 Local spatial autocorrelation analysis</title>
<p>The local spatial relationships between events and their neighboring events are reflected in the Local Indicators of Spatial Association (LISA) distribution map. Four categories can be used to classify these relationships: The clustering patterns are low-high, low-low, high-high, and high-low.</p>
<p>The results of the local spatial autocorrelation of ESV of the GUB for 1990, 2000, 2010, and 2020 show that the distribution of high-value and low-value clusters stayed rather stable, as shown in <xref ref-type="fig" rid="F9">Figure 9</xref>. This shows a spatial clustering pattern and a significant positive association. The region is primarily characterised by high-high clustering and low-low clustering, with high-high clustering mainly concentrated at the boundaries of Shangyou County and Chongyi County, as well as at the intersections of Yudu County and Ruijin City, and Ganxian District and Huichang County. In contrast, low-low clustering is predominantly observed in Nankang and Zhanggong District, Xinfeng County.</p>
<fig id="F9" position="float">
<label>FIGURE 9</label>
<caption>
<p>Spatial-temporal distribution of local spatial autocorrelation of the GUB, 1990&#x2013;2020. <bold>(a)</bold> 1990, <bold>(b)</bold> 2000, <bold>(c)</bold> 2010, <bold>(d)</bold> 2020.</p>
</caption>
<graphic xlink:href="fenvs-13-1640840-g009.tif">
<alt-text content-type="machine-generated">Maps display spatial data changes from 1990 to 2020 in a region, divided into four sections: 1990, 2000, 2010, and 2020. Each map uses colors to indicate statistical significance: red for high-high, blue for low-low, light blue for low-high, pink for high-low, and yellow for not significant. The maps show dynamic shifts across decades.</alt-text>
</graphic>
</fig>
</sec>
</sec>
<sec id="s3-6">
<title>3.6 Exploration of drivers integrating HGB and SHAP model</title>
<p>To quantify the effect of each factor on ESV, the study integrated machine learning model with the SHAP analysis method. The performance of the model was evaluated based on the <italic>R</italic>
<sup>2</sup>, MAE and RMSE. Due to the substantial computational demands of this approach, only the data of 2020 were used to identify the driving factors of ESV.</p>
<p>The model evaluation metrics are delineated in <xref ref-type="table" rid="T7">Table 7</xref>, and the optimal model is identified through comprehensive analysis in terms of performance, error, and risk of overfitting. <italic>R</italic>
<sup>2</sup> (Test) is a measure of the explanatory power of the model on the test set, and the closer it is to 1, the better the model performance is. The findings indicate that HGB (0.62) surpasses XGBoost (0.59), RF (0.55), GBM (0.53) and LR (0.41). Consequently, HGB emerges as the most effective model. MAE (Test) denotes the Mean Absolute Error, with smaller values being preferable. The resultant data indicates that HGB (1905.28) is outperformed by XGBoost (1965.46), RF (1978.37), GBM (2079.60) and LR (2540.72), with HGB demonstrating the lowest error rate. RMSE (Test) is the Root Mean Squared Error, and a smaller value is preferable. The findings indicate that HGB (3229.46) is outperformed by XGBoost (3351.19), followed by RF (3499.00), GBM (3555.46), and LR (3996.22), with the lowest HGB error. It is evident that HGB demonstrates superior overall performance on the test set, as evidenced by its elevated <italic>R</italic>
<sup>2</sup>, minimal MAE, and RMSE. The negligible discrepancy between Train (0.84) and Test (0.62) further substantiates its reduced risk of overfitting and enhanced generalisation capability. Consequently, the optimal model is identified as HGB, while the alternative model is XGBoost.</p>
<table-wrap id="T7" position="float">
<label>TABLE 7</label>
<caption>
<p>Performance metrics of machine learning models.</p>
</caption>
<table>
<thead valign="top">
<tr>
<th align="center">Model</th>
<th align="center">
<italic>R</italic>
<sup>2</sup> (Train)</th>
<th align="center">
<italic>R</italic>
<sup>2</sup> (test)</th>
<th align="center">MAE (test)</th>
<th align="center">RMSE (test)</th>
</tr>
</thead>
<tbody valign="top">
<tr>
<td align="center">HGB</td>
<td align="center">0.84</td>
<td align="center">0.62 (&#x2a;)</td>
<td align="center">1905.28 (&#x2a;)</td>
<td align="center">3229.46 (&#x2a;)</td>
</tr>
<tr>
<td align="center">XGBoost</td>
<td align="center">0.88</td>
<td align="center">0.59</td>
<td align="center">1965.46</td>
<td align="center">3351.19</td>
</tr>
<tr>
<td align="center">RF</td>
<td align="center">0.94</td>
<td align="center">0.55</td>
<td align="center">1978.37</td>
<td align="center">3499.00</td>
</tr>
<tr>
<td align="center">LR</td>
<td align="center">0.39</td>
<td align="center">0.41</td>
<td align="center">2540.72</td>
<td align="center">3996.22</td>
</tr>
<tr>
<td align="center">GBM</td>
<td align="center">0.95 (&#x2a;)</td>
<td align="center">0.53</td>
<td align="center">2079.60</td>
<td align="center">3555.46</td>
</tr>
</tbody>
</table>
<table-wrap-foot>
<fn>
<p>&#x2a; Represents optimal values.</p>
</fn>
</table-wrap-foot>
</table-wrap>
<p>The HGB plus SHAP analysis revealed the extent and direction of the effects of each environmental factor on ESV. The eight impact factors were then classified into three distinct grades, based on the results of the feature importance calculation (<xref ref-type="fig" rid="F10">Figure 10</xref>). These three grades were designated as key factors, relatively important factors, and low-impact factors, respectively. Key factors are defined as those with feature importance &#x2265;2000, Human Activity Intensity (HAI) emerged as the key factor, with a contribution value of 2285.21 (30.57%), exhibiting a substantial negative effect. That is, elevated HAI values were associated with diminished ESV predictions. The relatively important factors are those with feature importance of 500 &#x2264; importance value &#x3c;2000, and include FVC (1681.43, 22.50%, negative effect), elevation (1038.79, 13.90%, negative effect) and SOC (851.48, 11.39%, positive effect). The low-impact factor, which is equivalent to the importance value of &#x3c;500, encompasses the GDP (461.25, 6.17%, nonlinear relationship), slope (455.53, 6.09%, nonlinear relationship), temperature (362.35, 4.85%, nonlinear relationship) and precipitation (338.55, 4.53%, nonlinear relationship). Essentially, it was determined that the main parameters influencing changes in ESV were HAI, FVC, Ele, and SOC. In contrast, the contributions of economic, topographic and climatic factors were found to be comparatively negligible, though their influence should not be overlooked.</p>
<fig id="F10" position="float">
<label>FIGURE 10</label>
<caption>
<p>Detection of driving factors. <bold>(a)</bold> Bar plots of average absolute SHAP values and pie charts of contribution percentages. <bold>(b)</bold> SHAP summary plot. Note: human activity intensity (HAI), fractional vegetation cover (FVC), gross domestic product (GDP), soil organic carbon (SOC), elevation (Ele), precipitation (Pre), temperature (Tem).</p>
</caption>
<graphic xlink:href="fenvs-13-1640840-g010.tif">
<alt-text content-type="machine-generated">Two charts display feature importance using SHAP values. Chart (a) is a bar chart showing mean SHAP values for various features like HAI, FVC, and their impact percentages in a donut chart. Chart (b) is a scatter plot illustrating the distribution of SHAP values for each feature, with color representing feature value intensity from low (blue) to high (yellow).</alt-text>
</graphic>
</fig>
<p>The present study investigated the effects of HAI, FVC, Ele, and SOC on ESV in the study area. The findings indicated that these factors exerted substantial influence on ESV, with divergent mechanisms of action being observed. The contribution of the key characterization factors to the model predictions was quantified by SHAP feature dependency plot analysis, and the nonlinear relationships and thresholds between the features and the predictions were revealed. <xref ref-type="fig" rid="F11">Figure 11</xref> illustrates these relationships.</p>
<fig id="F11" position="float">
<label>FIGURE 11</label>
<caption>
<p>Partial dependency graph of key characteristic factors based on SHAP value. Note: human activity intensity (HAI), fractional vegetation cover (FVC), soil organic carbon (SOC), elevation (Ele).</p>
</caption>
<graphic xlink:href="fenvs-13-1640840-g011.tif">
<alt-text content-type="machine-generated">Four SHAP dependence plots for HAI, FVC, Ele, and SOC. Each plot shows SHAP values versus a variable with data points colored by SHAP value intensity from blue to yellow. A red LOWESS trend line indicates the relationship, with a gray area marking the ninety-five percent confidence interval. Strong negative correlations are highlighted in HAI, FVC, and Ele plots, while SOC shows a positive trend. Correlation coefficients and significance values are noted on each plot.</alt-text>
</graphic>
</fig>
<p>A highly significant negative correlation was identified between HAI and SHAP values (r &#x3d; &#x2212;0.78, p &#x3c; 0.001). As the HAI level increased, its effect on ESV shifted from promotion to inhibition. When HAI was less than 0.23, it exhibited a positive effect on ESV; conversely, when HAI was greater than 0.23, it demonstrated a negative effect.</p>
<p>A highly significant negative correlation was also identified between FVC and SHAP values (r &#x3d; &#x2212;0.92, p &#x3c; 0.001). When FVC was less than 0.76, it exhibited a promoting effect on ESV; conversely, when FVC was greater than 0.76, the effect changed to inhibitory.</p>
<p>A highly significant negative correlation was also identified between altitude and SHAP values (r &#x3d; &#x2212;0.89, p &#x3c; 0.001). At altitudes less than 400 meters, ESV exhibited a promoting effect, while at altitudes greater than 400 meters, the effect transitioned to inhibition.</p>
<p>A highly significant positive correlation was identified between the SHAP values and the SOC (r &#x3d; 0.77, p &#x3c; 0.001). When the SOC was less than 14&#xa0;g/kg, it exhibited an inhibitory effect on ESV. Conversely, when the SOC was greater than 14&#xa0;g/kg, the effect changed to a promoting one. The SHAP values exhibited a marked increase with rising SOC levels. However, this increase began to plateau after reaching a maximum value when the SOC level exceeded 20&#xa0;g/kg.</p>
<p>In summary, the findings of the study demonstrated a non-linear, highly significant negative correlation between HAI, FVC, and elevation with ESV in the study area. Conversely, SOC exhibited a non-linear, highly significant positive correlation with ESV.</p>
<p>A thorough analysis of the uncertainty inherent in the predicted results of ESV was conducted in this study. To this end, we employed a 95% confidence interval (CI) to quantify the uncertainty. To illustrate this uncertainty, gray shading was employed to represent the 95% CI. The width of the shading is proportional to the size of the 95% CI; that is, the wider the shading, the greater the uncertainty in the prediction results.</p>
<p>The 95% CI of the ESV prediction result was found to be significantly larger when the HAI was greater than 0.6. This finding suggests that the ESV prediction results exhibit enhanced accuracy within the range of HAI less than 0.6. The 95% CI of the ESV prediction results was found to be significantly greater when the FVC was less than 0.6. This finding suggests that ESV predictions are more precise in cases where FVC is greater than 0.6. The 95% CI of the ESV prediction results exhibited a substantial increase when Ele was greater than 1000 meters. This finding suggests that ESV predictions exhibited higher accuracy within the range of elevation less than 1000 meters. The 95% CI of the ESV prediction results was found to be significantly greater when the SOC was less than 10&#xa0;g/kg or greater than 25&#xa0;g/kg. This finding indicates that ESV was more precisely predicted in the range of 10&#xa0;g/kg &#x2264; SOC &#x2264;25&#xa0;g/kg.</p>
<p>In summary, the analysis of the 95% CI enabled the identification of key thresholds affecting the accuracy of the ESV prediction and the optimization of the predictive performance of the model accordingly. This finding is significant for improving the accuracy and reliability of ecosystem service value assessment.</p>
</sec>
</sec>
<sec sec-type="discussion" id="s4">
<title>4 Discussion</title>
<sec id="s4-1">
<title>4.1 Driving mechanisms and threshold identification of ESV</title>
<p>In order to quantify the effect of each factor on ESV accurately, an integrated explainable machine learning approach was conducted in this study. The results indicate that HGB demonstrates superior overall performance on the test set, as evidenced by its elevated <italic>R</italic>
<sup>2</sup>, minimal MAE, and RMSE. The HGB model demonstrates distinct advantages over linear regression approaches by effectively capturing nonlinearity without requiring linearity assumptions. Compared to RF model, it is more computationally efficient and more adapted for analyzing huge data sets. Compared to XGBoost or GBM model, the HGB model has the benefits of seamless integration with Scikit-learn, and compatibility with sparse data (<xref ref-type="bibr" rid="B8">Du et al., 2025</xref>). HGB is an advanced machine learning method designed to optimize the equilibrium of efficiency, accuracy, and user-friendliness in identifying feature importance. It is an effective approach for driving factor selection (<xref ref-type="bibr" rid="B2">Bridge et al., 2025</xref>).</p>
<p>The study indicated that HAI is the key driving factor of ESV of the GUB, with a feature important of 30.57%, exhibiting a substantial negative effect of pearson analysis. SHAP-based non-linear analysis revealed that when HAI was less than 0.23, it exhibited a positive effect on ESV; conversely, when HAI was greater than 0.23, it demonstrated a negative effect. In the formula of HAI, construction land had the greatest human impact intensity coefficients among the six land use classifications. A net loss of 388.19 km<sup>2</sup>of forestland over the research period and a dramatic 105% increase in building land as a result of fast urbanization account for this decline in ESV. The rapid urbanization of GUB over the past 3&#xa0;decades has resulted in a notable decline in agricultural and forestland and a notable rise in building area. The conversion of industrial structures, particularly the annual expansion of aquaculture regions, has resulted in the loss of some cropland (<xref ref-type="bibr" rid="B3">Chen et al., 2015</xref>; <xref ref-type="bibr" rid="B44">Wu et al., 2022</xref>). It is therefore evident that changes in land use of the GUB directly impact the ESV. The impact of anthropogenic activities on landscape patterns has resulted in a reduction in the ecosystem service capacity of the GUB (<xref ref-type="bibr" rid="B32">Qiao et al., 2025</xref>; <xref ref-type="bibr" rid="B25">Liu et al., 2022</xref>). This finding aligns with the results of previous studies in this field (<xref ref-type="bibr" rid="B57">Yao et al., 2025</xref>). The HAI is the predominant factor in ESV spatial differentiation, underscoring the repercussions of recurrent human activities on the ecological environment. The formulation of strict environmental protection policies and measures is imperative to enhance the effective management of human activities and to restrict unreasonable land use and development, thereby reducing the negative impact of human activities on the ecological environment (<xref ref-type="bibr" rid="B11">Hu et al., 2023</xref>).</p>
<p>A highly significant negative correlation was also identified between FVC and SHAP values in this study. When FVC was less than 0.76, it exhibited a promoting effect on ESV; conversely, when FVC was greater than 0.76, the effect changed to inhibitory. This finding is at odds with the conclusions of numerous preceding studies (<xref ref-type="bibr" rid="B31">Princelyn et al., 2025</xref>). This &#x201c;abnormal&#x201d; phenomenon is primarily attributable to the unique natural and socio-economic context of the GUB. A potential explanation for this phenomenon is that Ganzhou City had implemented large-scale artificial afforestation projects (primarily pure stands of cypress and pine) in rare earth tailings areas, slope farmland, and urban peripheries over the past 2&#xa0;decades. These projects had led to a rapid increase in regional FVC. These artificial forests consist of a single tree species, exhibit simple community structures, and possess low understory biodiversity (<xref ref-type="bibr" rid="B61">Zhang et al., 2025</xref>). Consequently, the core ecological functions of carbon sequestration, water conservation, and soil retention are significantly lower than those observed in natural evergreen broadleaf forests. This phenomenon has resulted in a decline in ESV per unit area. Another potential explanation pertains to remote sensing NDVI saturation. High FVC areas (&#x3e;0.7) are predominantly artificial pure forests, where NDVI has reached or approached saturation. This renders it impossible to distinguish differences in forest stand quality, thereby creating the illusion of &#x201c;high FVC-low ESV&#x201d; (<xref ref-type="bibr" rid="B21">Li Y. et al., 2025</xref>).</p>
</sec>
<sec id="s4-2">
<title>4.2 Assessment of ESV based on different scales</title>
<p>This study employs both grid-based and administrative scales to evaluate the total ESV, the unit area ESV, and their spatial distribution characteristics of the GUB. The grid method employed a 5&#xa0;km &#xd7; 5&#xa0;km grid, representing a micro-scale approach, which facilitated the mapping of the spatial distribution of unit area ESV across the various levels within the study area. Furthermore, it permitted a comparison of the fluctuations in different levels at two distinct points in time. While micro-scale assessments can elucidate the distinctions between diverse ecological subsystems at larger scales, the outcomes obtained at smaller scales are frequently challenging to extrapolate for ecological regulation applications at broader scales (<xref ref-type="bibr" rid="B66">Zhang et al., 2022</xref>).</p>
<p>Conversely, the spatial distribution of ESV based on administrative divisions represents a macro-scale assessment, offering insights into the spatial distribution of ESV across the 18 counties or districts within the study area. By analysing relative changes, similarities and differences in the trends of each county can be identified in comparison to the overall region. Administrative scale assessments may be constrained by the influence of dominant land and ecological system components within the units, which may result in the omission of variations among subsystems. Nevertheless, the benefit of administrative scales lies in their practical applicability, enabling the collection of statistical data related to administrative units and the establishment of ecological management models, which are more straightforward to implement than grid-scale assessments (<xref ref-type="bibr" rid="B12">Huang et al., 2019</xref>; <xref ref-type="bibr" rid="B59">Yu et al., 2025</xref>). Therefore, it is advantageous to combine several scales to fully comprehend the ecological functional status of the assessment units. The study of scale characteristics in ecosystem service evaluations can be enhanced to improve the objectivity, credibility, and practicality of assessment results (<xref ref-type="bibr" rid="B49">Xu et al., 2019</xref>; <xref ref-type="bibr" rid="B30">Peng et al., 2017</xref>).</p>
</sec>
<sec id="s4-3">
<title>4.3 Proposes</title>
<p>The ESV of the GUB was evaluated, revealing an overall decline in ESV from 1990 to 2020. To improve regional ecological service value, bolster ecological security, and advance the formulation of ecological compensation policies for water supplies, the following proposals and strategies are suggested:<list list-type="simple">
<list-item>
<p>(1) The major purpose is to improve approach aimed at conserving and rehabilitating forest ecosystems. Prioritizing the conservation of high ESV areas is essential. Development must be rigorously limited, and the safeguarding of natural forests along with the restoration of agricultural land to forest should be strengthened to improve climate and hydrological regulatory functions, which constitute 50 percent of the ESV (<xref ref-type="bibr" rid="B38">Sun et al., 2025</xref>). GUB boasts a substantial forest area, and through the implementation of afforestation and grassland restoration initiatives, it has attained a notable degree of greening in the southern Jiangxi region, approaching the upper limit of the achievable greening scale. Given the sensitivity of forest land to the ESV of the region, future research should prioritize the optimization of forest stand structure and the enhancement of forest quality within mountainous forest land. This approach is expected to contribute to the continuous enhancement of the climate regulation, biodiversity maintenance, soil conservation, and landscape aesthetic ecological service values of forest land. For forest reserves, conservation should be the primary focus, with the objective of maintaining the soil and water conservation and water source protection functions of forest land (<xref ref-type="bibr" rid="B53">Yang et al., 2024</xref>).</p>
</list-item>
<list-item>
<p>(2) Careful oversight of the growth of construction land and the achievement of suitable land use patterns are crucial. Stringent regulation is essential about the unregulated expansion of construction land, especially in the 16 counties that have experienced a significant decrease in ESV. Furthermore, the execution of intense land utilization patterns is essential. Implementing ecological restoration activities in grid areas showing a reduction in ESV is essential (<xref ref-type="bibr" rid="B69">Zhen et al., 2021</xref>; <xref ref-type="bibr" rid="B70">Zhou et al., 2024</xref>).</p>
</list-item>
<list-item>
<p>(3) It is essential to alleviate the detrimental environmental effects resulting from HAI. It is essential to control the degree of development. The analysis reveals that HAI adversely affects ESV by 30.57%, highlighting the need to restrict high-intensity activities, such as resource development and urban expansion, in ecologically sensitive areas (<xref ref-type="bibr" rid="B7">Deng et al., 2025</xref>). The &#x201c;high FVC-low ESV&#x201d; phenomenon observed in the GUB is not attributable to the inherent harmfulness of the vegetation. Rather, it is a consequence of systemic disadvantages in terms of tree species structure, substrate quality, and site conditions that are present in high FVC areas. Subsequent measures should encompass the following: Fistly, the primary objective is to optimize the structure of artificial forests, which is to be accomplished by replanting native broad-leaved trees and enhancing community heterogeneity. Secondly, the implementation of soil improvement and functional vegetation restoration in rare earth tailings areas is imperative. Thirdly, it is imperative to differentiate between natural forests and artificial forests in statistical analyses. This is essential to circumvent potential biases that may arise from NDVI saturation.</p>
</list-item>
<list-item>
<p>(4) In light of the ESV clustering results, a region-specific, precision-governance strategy is hereby proposed. In the &#x201c;high-high&#x201d; clusters, the existing natural-forest closure policy should be maintained. Additionally, the implementation of an ecological compensation fund is imperative, along with the establishment of a maximum limit on tourism capacity. In &#x201c;low-low&#x201d; clusters, the following strategies should be implemented: urban renewal and brownfield remediation, rooftop greening, and sponge-city techniques to reduce impervious surface.</p>
</list-item>
</list>
</p>
</sec>
</sec>
<sec sec-type="conclusion" id="s5">
<title>5 Conclusion</title>
<p>The principal findings are as follows:</p>
<p>(1) Forestland has consistently constituted the predominant terrain in the GUB, encompassing over 74% of the total area from 1990 to 2020. The ESV of the GUB showed a trend of initial expansion succeeded by a contraction, culminating in a net decrease of 21.53 &#xd7; 10<sup>8</sup> yuan. Regulating services constituted the predominant ecological function of the GUB, markedly exceeding other functions. Climate and hydrological regulation were first and second, respectively, accounting for roughly 50% of the overall value. (2) The grid-based examination of unit area ESV of the GUB demonstrates a notable geographical pattern, with higher values concentrated at the outside of counties or districts, and lower values found at their centers. An analysis of the ESV across administrative districts indicates that the ESV in Shangyou and Ganxian counties experienced minor rises, while the ESV in the other 16 counties showed a decrease. (3) The study identified the HGB model combined with the SHAP model as the optimal explainable machine learning model. Furthermore, the investigation into the driving factors of ESV revealed that HAI is the primary determinant of ESV of the GUB, with a feature importance of 30.57%, demonstrating a significant negative impact.</p>
</sec>
</body>
<back>
<sec sec-type="data-availability" id="s6">
<title>Data availability statement</title>
<p>The original contributions presented in the study are included in the article/<xref ref-type="sec" rid="s12">Supplementary Material</xref>, further inquiries can be directed to the corresponding author.</p>
</sec>
<sec sec-type="author-contributions" id="s7">
<title>Author contributions</title>
<p>XX: Methodology, Writing &#x2013; original draft, Conceptualization, Writing &#x2013; review and editing, Project administration. XZ: Formal Analysis, Writing &#x2013; original draft. LQ: Validation, Writing &#x2013; original draft. RL: Investigation, Writing &#x2013; original draft.</p>
</sec>
<sec sec-type="funding-information" id="s8">
<title>Funding</title>
<p>The author(s) declare that financial support was received for the research and/or publication of this article. This study was supported by the National Natural Science Foundation of China (42261015), the Science and Technology Foundation of the Education Department of Jiangxi Province (GJJ211426).</p>
</sec>
<sec sec-type="COI-statement" id="s9">
<title>Conflict of interest</title>
<p>The authors declare that the research was conducted in the absence of any commercial or financial relationships that could be construed as a potential conflict of interest.</p>
</sec>
<sec sec-type="ai-statement" id="s10">
<title>Generative AI statement</title>
<p>The author(s) declare that no Generative AI was used in the creation of this manuscript.</p>
</sec>
<sec sec-type="disclaimer" id="s11">
<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>
<sec sec-type="supplementary-material" id="s12">
<title>Supplementary material</title>
<p>The Supplementary Material for this article can be found online at: <ext-link ext-link-type="uri" xlink:href="https://www.frontiersin.org/articles/10.3389/fbioe.2025.1610806/full#supplementary-material">https://www.frontiersin.org/articles/10.3389/fbioe.2025.1610806/full&#x23;supplementary-material</ext-link>
</p>
<supplementary-material xlink:href="DataSheet1.docx" id="SM1" mimetype="application/docx" xmlns:xlink="http://www.w3.org/1999/xlink"/>
</sec>
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