<?xml version="1.0" encoding="UTF-8"?>
<!DOCTYPE article PUBLIC "-//NLM//DTD Journal Publishing DTD v2.3 20070202//EN" "journalpublishing.dtd">
<article article-type="research-article" dtd-version="2.3" xml:lang="EN" xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">
<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">1617210</article-id>
<article-id pub-id-type="doi">10.3389/fenvs.2025.1617210</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>Research on the driving mechanisms of ecosystem services in the alpine canyon areas of Southwest China</article-title>
<alt-title alt-title-type="left-running-head">Jiang 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.2025.1617210">10.3389/fenvs.2025.1617210</ext-link>
</alt-title>
</title-group>
<contrib-group>
<contrib contrib-type="author">
<name>
<surname>Jiang</surname>
<given-names>Jiahui</given-names>
</name>
<xref ref-type="aff" rid="aff1">
<sup>1</sup>
</xref>
<uri xlink:href="https://loop.frontiersin.org/people/3045148/overview"/>
<role content-type="https://credit.niso.org/contributor-roles/investigation/"/>
<role content-type="https://credit.niso.org/contributor-roles/Writing - review &#x26; editing/"/>
<role content-type="https://credit.niso.org/contributor-roles/conceptualization/"/>
<role content-type="https://credit.niso.org/contributor-roles/validation/"/>
<role content-type="https://credit.niso.org/contributor-roles/software/"/>
<role content-type="https://credit.niso.org/contributor-roles/methodology/"/>
<role content-type="https://credit.niso.org/contributor-roles/formal-analysis/"/>
<role content-type="https://credit.niso.org/contributor-roles/writing-original-draft/"/>
<role content-type="https://credit.niso.org/contributor-roles/data-curation/"/>
<role content-type="https://credit.niso.org/contributor-roles/visualization/"/>
</contrib>
<contrib contrib-type="author" corresp="yes">
<name>
<surname>Hou</surname>
<given-names>Jian</given-names>
</name>
<xref ref-type="aff" rid="aff1">
<sup>1</sup>
</xref>
<xref ref-type="corresp" rid="c001">&#x2a;</xref>
<uri xlink:href="https://loop.frontiersin.org/people/2186541/overview"/>
<role content-type="https://credit.niso.org/contributor-roles/funding-acquisition/"/>
<role content-type="https://credit.niso.org/contributor-roles/project-administration/"/>
<role content-type="https://credit.niso.org/contributor-roles/resources/"/>
<role content-type="https://credit.niso.org/contributor-roles/formal-analysis/"/>
<role content-type="https://credit.niso.org/contributor-roles/validation/"/>
<role content-type="https://credit.niso.org/contributor-roles/Writing - review &#x26; editing/"/>
<role content-type="https://credit.niso.org/contributor-roles/conceptualization/"/>
<role content-type="https://credit.niso.org/contributor-roles/supervision/"/>
</contrib>
<contrib contrib-type="author">
<name>
<surname>Zeng</surname>
<given-names>Chen</given-names>
</name>
<xref ref-type="aff" rid="aff2">
<sup>2</sup>
</xref>
<uri xlink:href="https://loop.frontiersin.org/people/1347857/overview"/>
<role content-type="https://credit.niso.org/contributor-roles/funding-acquisition/"/>
<role content-type="https://credit.niso.org/contributor-roles/project-administration/"/>
<role content-type="https://credit.niso.org/contributor-roles/resources/"/>
<role content-type="https://credit.niso.org/contributor-roles/Writing - review &#x26; editing/"/>
</contrib>
<contrib contrib-type="author">
<name>
<surname>Feng</surname>
<given-names>Haobo</given-names>
</name>
<xref ref-type="aff" rid="aff1">
<sup>1</sup>
</xref>
<uri xlink:href="https://loop.frontiersin.org/people/3114480/overview"/>
<role content-type="https://credit.niso.org/contributor-roles/Writing - review &#x26; editing/"/>
<role content-type="https://credit.niso.org/contributor-roles/resources/"/>
<role content-type="https://credit.niso.org/contributor-roles/data-curation/"/>
<role content-type="https://credit.niso.org/contributor-roles/project-administration/"/>
<role content-type="https://credit.niso.org/contributor-roles/investigation/"/>
</contrib>
<contrib contrib-type="author">
<name>
<surname>Zhu</surname>
<given-names>Yufan</given-names>
</name>
<xref ref-type="aff" rid="aff1">
<sup>1</sup>
</xref>
</contrib>
</contrib-group>
<aff id="aff1">
<sup>1</sup>
<institution>School of Soil and Water Conservation</institution>, <institution>Beijing Forestry University</institution>, <addr-line>Beijing</addr-line>, <country>China</country>
</aff>
<aff id="aff2">
<sup>2</sup>
<institution>Institute of Tibetan Plateau Research</institution>, <institution>Chinese Academy of Sciences</institution>, <addr-line>Beijing</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/1540051/overview">Pengcheng Hu</ext-link>, Commonwealth Scientific and Industrial Research Organisation (CSIRO), Australia</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/2888473/overview">Kun Zhang</ext-link>, Nanjing Institute of Environment Science, China</p>
<p>
<ext-link ext-link-type="uri" xlink:href="https://loop.frontiersin.org/people/3057342/overview">Chuan Yuan</ext-link>, Southwest University, China</p>
</fn>
<corresp id="c001">&#x2a;Correspondence: Jian Hou, <email>houjian@bifu.edu.cn</email>
</corresp>
</author-notes>
<pub-date pub-type="epub">
<day>15</day>
<month>07</month>
<year>2025</year>
</pub-date>
<pub-date pub-type="collection">
<year>2025</year>
</pub-date>
<volume>13</volume>
<elocation-id>1617210</elocation-id>
<history>
<date date-type="received">
<day>24</day>
<month>04</month>
<year>2025</year>
</date>
<date date-type="accepted">
<day>30</day>
<month>06</month>
<year>2025</year>
</date>
</history>
<permissions>
<copyright-statement>Copyright &#xa9; 2025 Jiang, Hou, Zeng, Feng and Zhu.</copyright-statement>
<copyright-year>2025</copyright-year>
<copyright-holder>Jiang, Hou, Zeng, Feng and Zhu</copyright-holder>
<license xlink:href="http://creativecommons.org/licenses/by/4.0/">
<p>This is an open-access article distributed under the terms of the Creative Commons Attribution License (CC BY). The use, distribution or reproduction in other forums is permitted, provided the original author(s) and the copyright owner(s) are credited and that the original publication in this journal is cited, in accordance with accepted academic practice. No use, distribution or reproduction is permitted which does not comply with these terms.</p>
</license>
</permissions>
<abstract>
<p>The Alpine Canyon Area of Southwest China represents a region of ecological and cultural significance, where multi-ethnic communities rely heavily on ecosystem services for sustenance, including food, water, and other vital resources. To systematically evaluate these dependencies, this study utilized multi-source datasets to quantify the spatiotemporal patterns of four key ecosystem services in the region: carbon sequestration food supply (FS), water yield (WY), and soil conservation (SR). Spearman correlation analysis, geographically weighted regression, and the geographic detector method were employed to analyze trade-offs and synergies among these ecosystem services and explore their driving mechanisms. The results indicated: (1) The four ecosystem services in the study area exhibited significant spatiotemporal heterogeneity. (2) During the study period, the synergies were observed between CS-WY, CS-SR, and WY-SR, highlighting a particularly strong synergy for WY-SR. Conversely, trade-offs were observed for CS-FS, FS-WY, and FS-SR, with the strongest trade-off occurring between food supply and water yield. (3) The trade-offs and synergies among ecosystem services in the region were significantly influenced by a combination of natural and socio-economic factors, with elevation, slope degree, temperature, and population density playing pivotal roles. Among all ecosystem services pairs, the interaction between elevation and other influencing factors represented the most critical driver combination. This study highlights the importance of ecosystem services in multi-ethnic regions, provides insights into ecosystem services trade-offs and synergies, and offers scientific support for regional ecological management.</p>
</abstract>
<kwd-group>
<kwd>southwest alpine canyon</kwd>
<kwd>ecosystem services</kwd>
<kwd>spatiotemporal patterns</kwd>
<kwd>trade-offs and synergies</kwd>
<kwd>geographically weighted regression model</kwd>
<kwd>driving mechanisms</kwd>
</kwd-group>
<custom-meta-wrap>
<custom-meta>
<meta-name>section-at-acceptance</meta-name>
<meta-value>Ecosystem Restoration</meta-value>
</custom-meta>
</custom-meta-wrap>
</article-meta>
</front>
<body>
<sec id="s1">
<title>1 Introduction</title>
<p>Ecosystem services (ESs), derived from ecosystem structures, processes, and functions, bridge ecological and social systems, ensuring ecological security, human safety, and quality of life (<xref ref-type="bibr" rid="B13">Fu and Yu, 2016</xref>; <xref ref-type="bibr" rid="B29">Reid et al., 2005</xref>; <xref ref-type="bibr" rid="B7">Costanza et al., 1998</xref>). Addressing the challenge of meeting humanity&#x2019;s growing demand for natural resources while maintaining fundamental ecosystem functions and resilience require an in-depth understanding of the complex relationships between ESs, understanding trade-offs - where enhancing one ESs diminish another - and synergies, where multiple ESs change concurrently (<xref ref-type="bibr" rid="B35">Tomscha and Gergel, 2016</xref>; <xref ref-type="bibr" rid="B36">Tomscha et al., 2016</xref>). Optimizing the management of conflicts between multiple objectives in ecosystem services management and alleviating trade-offs between ESs are essential for ensuring the diversification of ecosystem services and high-quality regional development (<xref ref-type="bibr" rid="B6">Cord et al., 2017</xref>).</p>
<p>According to the United Nations Millennium Ecosystem Assessment, most of the global ecosystem services have experienced degradation or unsustainable use over the past half-century, posing significant threats to regional and global ecological security (<xref ref-type="bibr" rid="B25">Pereira et al., 2024</xref>; <xref ref-type="bibr" rid="B36">Tomscha et al., 2016</xref>; <xref ref-type="bibr" rid="B29">Reid et al., 2005</xref>). To address challenges and conflicts arising from the impacts of ecosystem services on sustainable development, interdisciplinary research in geography, ecology, and economics have increasingly focused on ESs trade-offs and synergies (<xref ref-type="bibr" rid="B5">Boithias et al., 2014</xref>; <xref ref-type="bibr" rid="B24">Peng et al., 2017</xref>). Recent studies have employed diverse methodologies to explore ESs spatial-temporal patterns and capture trade-offs/synergies across diverse regions and scales (<xref ref-type="bibr" rid="B37">Wang et al., 2022</xref>; <xref ref-type="bibr" rid="B43">Yang et al., 2024</xref>). For instance, <xref ref-type="bibr" rid="B32">Shifaw et al. (2024)</xref> mapped the spatial-temporal distribution of four ESs (water production, carbon-fixation, habitat quality, and soil conservation) in the Upper Qing Nile River Basin in northwestern Ethiopia to evaluate the trade-offs and synergies. Similarly, <xref ref-type="bibr" rid="B12">Feng et al. (2021)</xref> utilized a Bayesian probability network to analyze trade-offs and synergies in the Beijing-Tianjin-Hebei region. These studies underscored the importance of understanding trade-offs and synergies in ESs for effective regional ecological management (<xref ref-type="bibr" rid="B16">Hao et al., 2023</xref>). Based on this, this study aims to examine these dynamics in ESs trade-offs/synergies and identify the underlying mechanisms driving these patterns, offering actionable insights to support sustainable ecological decision-making.</p>
<p>The Southwest Alpine Canyon are situated in southwestern China. Over 40 snow-capped mountains exceeding 6,000&#xa0;m in elevation dominate the landscape, providing freshwater for China major rivers, such as the Yangtze and Pearl Rivers. Water vapor and river runoff influenced by the Qinghai-Tibet Plateau and the Himalayas (<xref ref-type="bibr" rid="B18">Li, 2010</xref>; <xref ref-type="bibr" rid="B9">Da-ming and Xuan-juan, 2001</xref>; <xref ref-type="bibr" rid="B8">Daming et al., 2004</xref>). It is also a multi-ethnic settlement area, where diverse ethnic groups have developed unique cultural, religious, and customary practices, fostering ecosystem protection through traditional beliefs like &#x201c;nature worship&#x201d; and sacred ancestral lands (<xref ref-type="bibr" rid="B40">Wang et al., 2019</xref>; <xref ref-type="bibr" rid="B22">Lin and Gui, 2024</xref>). Settlements are concentrated in lowland areas, where water and soil cultivation, combined with natural barriers, enhance production and living spaces (<xref ref-type="bibr" rid="B14">Guo et al., 2023</xref>). However, rapid economic development has led to significant anthropogenic interference, resulting in resource overconsumption and ecosystem degradation (<xref ref-type="bibr" rid="B27">Ramyar et al., 2020</xref>; <xref ref-type="bibr" rid="B44">Zhang et al., 2020</xref>). Despite its ecological and cultural significance, the region remains understudied, with previous research primarily focusing on low and medium altitude areas, which differ markedly from the alpine canyon environment. Systematic evaluations of ESs are urgently needed to understand their overall characteristics, complex interactions, and the mechanisms driving trade-offs and synergies. Addressing these gaps are critical for advancing regional research, enhancing ESs value, and informing sustainable management in this unique alpine canyon area.</p>
<p>The Southwest Alpine Canyon exhibit significant ecological vulnerability due to its complex geological landforms, which create intricate ecosystems with low stability, poor recovery capacity, and high sensitivity to external disturbances (<xref ref-type="bibr" rid="B10">Ding et al., 2021</xref>; <xref ref-type="bibr" rid="B34">Tan et al., 2024</xref>). Key ecological challenges include degradation from soil erosion, bedrock exposure, and stone desertification (<xref ref-type="bibr" rid="B14">Guo et al., 2023</xref>), making water yield and soil retention particularly crucial for ecosystem management (<xref ref-type="bibr" rid="B42">Yahdjian et al., 2015</xref>). These processes are further exacerbated by land use changes that affect carbon sequestration services (<xref ref-type="bibr" rid="B15">Hall et al., 2012</xref>) and alter food supply systems, ultimately impacting regional governance and the livelihoods of ethnic minority communities dependent on these ecosystems. Based on the above, this study utilized multi-source datasets in the Southwest Alpine Canyon Area to analyze ESs. (1) The InVEST model was employed to evaluate four key ESs: carbon sequestration (CS), food supply (FS), water yield (WY), and soil conservation (SR). (2) Spearman correlation analysis and geographically weighted regression were used to reveal trade-offs, synergies, and spatial heterogeneity among these ESs. (3) The geographic detector model was applied to explore the mechanisms driving variations in ESs trade-offs and synergies. Our findings provide valuable insights for rational land use, ecological management, and the formulation of targeted strategies to ensure ecological safety in ethnic minority areas, offering guidance for the sustainable utilization of alpine canyon resources.</p>
</sec>
<sec id="s2">
<title>2 Study area and data</title>
<sec id="s2-1">
<title>2.1 Study area</title>
<p>The Southwest Alpine Canyon Area, located in southwestern China (<xref ref-type="fig" rid="F1">Figure 1</xref>), spans geographic coordinates from 24&#xb0;56&#x2032;N&#x2212;33&#xb0;09&#x2032;N latitude and 91&#xb0;24&#x2032;E&#x2212;104&#xb0;15&#x2032;E longitude. It encompasses three major topographic steps of China: The Transverse Mountains on the first topographic step, the Sichuan Basin on the second topographic step, and the plains in the middle and lower reaches of the Yangtze River on the third topographic step (<xref ref-type="bibr" rid="B40">Wang et al., 2019</xref>). The region exhibits a complex geological structure shaped by extensive tectonic movements, with landscapes ranging from mountains, hills, and plateaus to basins, canyons, river valleys, and dams, characterized by significant elevation variations (<xref ref-type="bibr" rid="B18">Li, 2010</xref>). The climate is diverse and vertically stratified, encompassing subtropical, temperate and cool-temperate (<xref ref-type="bibr" rid="B22">Lin and Gui, 2024</xref>). The water system is dense, with major rivers such as the Yarlung Zangbo, Lancang, and Jinsha Rivers flowing from northwest to southeast, forming extensive river networks (<xref ref-type="bibr" rid="B8">Daming et al., 2004</xref>). The region is home to a wide distribution of ethnic minorities, with nearly 30 groups, including the Yi, Pumi, Lisu, Hani, Lahu, Tibetan, and Hui, accounting for approximately 80% of the total population. This cultural diversity adds to the socio-environmental complexity of the area.</p>
<fig id="F1" position="float">
<label>FIGURE 1</label>
<caption>
<p>Location of the study area.</p>
</caption>
<graphic xlink:href="fenvs-13-1617210-g001.tif">
<alt-text content-type="machine-generated">Map showing elevation across regions of Tibet, Sichuan, and Yunnan in China. Areas are color-coded from high elevation (blue) to low (red). Notable regions include Eastern Tibet-Western Sichuan, Southeast Tibet, and Northwest Yunnan Alpine Canyon Areas. Insets indicate Tibet, Sichuan, and Yunnan locations. Major cities like Lhasa, Chengdu, and Kunming are marked. North arrow and scale provided.</alt-text>
</graphic>
</fig>
</sec>
<sec id="s2-2">
<title>2.2 Data sources</title>
<p>Estimation of ESs relies on multi-source datasets (<xref ref-type="table" rid="T1">Table 1</xref>). Spatial data were primarily sourced from public databases, with additional data derived using conversion tools and formulas. Land use data for 2002, 2012, and 2022, with a spatial resolution of 30 m &#xd7; 30 m, were obtained from the CLCD dataset, updated by Prof. Jie Yang and Xin Huang of Wuhan University. The dataset includes land use types such as cropland, forests, shrubs, grasslands, watersheds, snow and ice, bare ground, impervious surfaces, and wetlands (<xref ref-type="fig" rid="F2">Figure 2</xref>). Meteorological data (temperature, precipitation, and evapotranspiration) were acquired from the National Earth System Science Data Center at a 1&#xa0;km resolution. Elevation data, derived from a DEM, were sourced from the Geospatial Data Cloud Platform at a 30&#xa0;m resolution. Plant-available water content data were obtained from the World Soil Database, jointly developed by the Food and Agriculture Organization (FAO) and the International Institute for Applied Systems Analysis (IIASA). Vegetation cover data, with a resolution of 250&#xa0;m, were downloaded from the Earth Resources Data Cloud Platform. Soil data were extracted from the Harmonized World Soil Database (HWSD), with soil erodibility calculated from soil texture using the EPIC model. Socio-economic data, including population density, GDP, and primary, secondary, and tertiary industry data, were sourced from the China County Statistical Yearbook of the National Bureau of Statistics.</p>
<table-wrap id="T1" position="float">
<label>TABLE 1</label>
<caption>
<p>Data required for the InVEST model.</p>
</caption>
<table>
<thead valign="top">
<tr>
<th align="left">Data requirements</th>
<th align="left">Data sources</th>
</tr>
</thead>
<tbody valign="top">
<tr>
<td align="left">Land use</td>
<td align="left">
<ext-link ext-link-type="uri" xlink:href="https://zenodo.org/">https://zenodo.org/</ext-link>
</td>
</tr>
<tr>
<td align="left">DEM</td>
<td align="left">
<ext-link ext-link-type="uri" xlink:href="https://www.gscloud.cn/">https://www.gscloud.cn/</ext-link>
</td>
</tr>
<tr>
<td align="left">Temperature, precipitation, evapotranspiration</td>
<td align="left">
<ext-link ext-link-type="uri" xlink:href="https://www.geodata.cn/data/">https://www.geodata.cn/data/</ext-link>
</td>
</tr>
<tr>
<td align="left">Plant Available Water Content</td>
<td align="left">
<ext-link ext-link-type="uri" xlink:href="https://www.fao.org/soils-portal/data-hub/">https://www.fao.org/soils-portal/data-hub/</ext-link>
</td>
</tr>
<tr>
<td align="left">Fractional Vegetation Cover</td>
<td align="left">
<ext-link ext-link-type="uri" xlink:href="http://www.gis5g.com/">http://www.gis5g.com/</ext-link>
</td>
</tr>
<tr>
<td align="left">Harmonized World Soil Database</td>
<td align="left">
<ext-link ext-link-type="uri" xlink:href="https://gaez.fao.org/pages/hwsd">https://gaez.fao.org/pages/hwsd</ext-link>
</td>
</tr>
<tr>
<td align="left">Population density, GDP, primary sector, secondary sector, tertiary sector</td>
<td align="left">
<ext-link ext-link-type="uri" xlink:href="https://www.stats.gov.cn/">https://www.stats.gov.cn/</ext-link>
</td>
</tr>
</tbody>
</table>
</table-wrap>
<fig id="F2" position="float">
<label>FIGURE 2</label>
<caption>
<p>Land use in the Southwest Alpine Canyon, <bold>(a)</bold> 2002; <bold>(b)</bold> 2012; <bold>(c)</bold> 2022.</p>
</caption>
<graphic xlink:href="fenvs-13-1617210-g002.tif">
<alt-text content-type="machine-generated">Three land use maps show changes from 2002 to 2022. Each map uses colors representing different land types like cropland, forest, and water. Maps illustrate a decrease in green forest areas and an increase in red cropland over the years. The key in each map explains the color coding.</alt-text>
</graphic>
</fig>
</sec>
<sec id="s2-3">
<title>2.3 Methods</title>
<sec id="s2-3-1">
<title>2.3.1 Quantification of ecosystem services</title>
<p>The assessment methodology employs the InVEST model, a spatially explicit tool developed by Stanford University and collaborators to evaluate how ecosystem changes influence the provision of benefits to human societies. Based on a production function approach, the InVEST model quantifies ecosystem services and supports decision-making in natural resource management by identifying priority areas for investment to enhance both human wellbeing and ecological sustainability. The specific assessment procedures and computational frameworks for four key ecosystem services, carbon sequestration, food supply, water yield, and soil conservation, are detailed in <xref ref-type="table" rid="T2">Table 2</xref>.</p>
<table-wrap id="T2" position="float">
<label>TABLE 2</label>
<caption>
<p>Methods for evaluating ecosystem services.</p>
</caption>
<table>
<thead valign="top">
<tr>
<th align="center">Ecosystem services</th>
<th align="center">Principles and methods</th>
<th align="center">Calculation process</th>
</tr>
</thead>
<tbody valign="top">
<tr>
<td align="center">Carbon sequestration</td>
<td align="left">Carbon Storage and Sequestration module of the InVEST model: summarizing the amount of carbon stored based on the land use data provided. The amount of carbon stored in the study area depends strongly on the size of four carbon reservoirs: above-ground biomass, underground biomass, soil and dead organic matter</td>
<td align="left">
<inline-formula id="inf1">
<mml:math id="m1">
<mml:mrow>
<mml:msub>
<mml:mi>C</mml:mi>
<mml:mrow>
<mml:mi>t</mml:mi>
<mml:mi>o</mml:mi>
<mml:mi>t</mml:mi>
</mml:mrow>
</mml:msub>
<mml:mo>&#x3d;</mml:mo>
<mml:msub>
<mml:mi>C</mml:mi>
<mml:mrow>
<mml:mi>a</mml:mi>
<mml:mi>b</mml:mi>
<mml:mi>o</mml:mi>
<mml:mi>v</mml:mi>
<mml:mi>e</mml:mi>
</mml:mrow>
</mml:msub>
<mml:mo>&#x2b;</mml:mo>
<mml:msub>
<mml:mi>C</mml:mi>
<mml:mrow>
<mml:mi>b</mml:mi>
<mml:mi>e</mml:mi>
<mml:mi>l</mml:mi>
<mml:mi>o</mml:mi>
<mml:mi>w</mml:mi>
</mml:mrow>
</mml:msub>
<mml:mo>&#x2b;</mml:mo>
<mml:msub>
<mml:mi>C</mml:mi>
<mml:mrow>
<mml:mi>s</mml:mi>
<mml:mi>o</mml:mi>
<mml:mi>i</mml:mi>
<mml:mi>l</mml:mi>
</mml:mrow>
</mml:msub>
<mml:mo>&#x2b;</mml:mo>
<mml:msub>
<mml:mi>C</mml:mi>
<mml:mrow>
<mml:mi>d</mml:mi>
<mml:mi>e</mml:mi>
<mml:mi>a</mml:mi>
<mml:mi>d</mml:mi>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> (1)<break/>Where, <inline-formula id="inf2">
<mml:math id="m2">
<mml:mrow>
<mml:msub>
<mml:mi>C</mml:mi>
<mml:mrow>
<mml:mi>t</mml:mi>
<mml:mi>o</mml:mi>
<mml:mi>t</mml:mi>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> denotes the total carbon stock, <inline-formula id="inf3">
<mml:math id="m3">
<mml:mrow>
<mml:msub>
<mml:mi>C</mml:mi>
<mml:mrow>
<mml:mi>a</mml:mi>
<mml:mi>b</mml:mi>
<mml:mi>o</mml:mi>
<mml:mi>v</mml:mi>
<mml:mi>e</mml:mi>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> denotes the aboveground biogenic carbon stock, <inline-formula id="inf4">
<mml:math id="m4">
<mml:mrow>
<mml:msub>
<mml:mi>C</mml:mi>
<mml:mrow>
<mml:mi>b</mml:mi>
<mml:mi>e</mml:mi>
<mml:mi>l</mml:mi>
<mml:mi>o</mml:mi>
<mml:mi>w</mml:mi>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> denotes the belowground biogenic carbon stock, <inline-formula id="inf5">
<mml:math id="m5">
<mml:mrow>
<mml:msub>
<mml:mi>C</mml:mi>
<mml:mrow>
<mml:mi>s</mml:mi>
<mml:mi>o</mml:mi>
<mml:mi>i</mml:mi>
<mml:mi>l</mml:mi>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> denotes the soil carbon stock, and <inline-formula id="inf6">
<mml:math id="m6">
<mml:mrow>
<mml:msub>
<mml:mi>C</mml:mi>
<mml:mrow>
<mml:mi>d</mml:mi>
<mml:mi>e</mml:mi>
<mml:mi>a</mml:mi>
<mml:mi>d</mml:mi>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> denotes the dead organic carbon stock</td>
</tr>
<tr>
<td align="center">Food supply</td>
<td align="left">InVEST model Crop Production module: based on regression models. Crop production regression models can provide yield estimates for a given fertilizer input (<xref ref-type="bibr" rid="B23">Mueller et al., 2016</xref>) </td>
<td align="left"/>
</tr>
<tr>
<td align="center">Water yield</td>
<td align="left">The InVEST model Annual Water Yield module: runs on a rasterized map and evaluates the amount of water in each sub-basin of a given watershed (<xref ref-type="bibr" rid="B11">Donohue et al., 2012</xref>)</td>
<td align="left">
<inline-formula id="inf7">
<mml:math id="m7">
<mml:mrow>
<mml:mi>Y</mml:mi>
<mml:mrow>
<mml:mfenced open="(" close=")" separators="|">
<mml:mrow>
<mml:mi>x</mml:mi>
</mml:mrow>
</mml:mfenced>
</mml:mrow>
<mml:mo>&#x3d;</mml:mo>
<mml:mrow>
<mml:mfenced open="(" close=")" separators="|">
<mml:mrow>
<mml:mn>1</mml:mn>
<mml:mo>&#x2212;</mml:mo>
<mml:mfrac>
<mml:mrow>
<mml:mi>A</mml:mi>
<mml:mi>E</mml:mi>
<mml:mi>T</mml:mi>
<mml:mrow>
<mml:mfenced open="(" close=")" separators="|">
<mml:mrow>
<mml:mi>x</mml:mi>
</mml:mrow>
</mml:mfenced>
</mml:mrow>
</mml:mrow>
<mml:mrow>
<mml:mi>P</mml:mi>
<mml:mrow>
<mml:mfenced open="(" close=")" separators="|">
<mml:mrow>
<mml:mi>x</mml:mi>
</mml:mrow>
</mml:mfenced>
</mml:mrow>
</mml:mrow>
</mml:mfrac>
</mml:mrow>
</mml:mfenced>
</mml:mrow>
<mml:mo>&#xb7;</mml:mo>
<mml:mi>P</mml:mi>
<mml:mrow>
<mml:mfenced open="(" close=")" separators="|">
<mml:mrow>
<mml:mi>x</mml:mi>
</mml:mrow>
</mml:mfenced>
</mml:mrow>
</mml:mrow>
</mml:math>
</inline-formula> (2)<break/>Where, <italic>AET</italic> (<italic>x</italic>) is the annual actual evapotranspiration of the <italic>x</italic> grid and <italic>P</italic> (<italic>x</italic>) is the annual precipitation of the <italic>x</italic> grid</td>
</tr>
<tr>
<td align="center">Soil conservation</td>
<td align="left">InVEST model Sediment Delivery Ratio module: it can overcome the limitations of traditional soil erosion models, analyze the soil loss and sediment output of each land use type. Quantifying the amount of sediment in rivers, reservoirs and other water bodies, thus enabling the characterization of hydrological connectivity in watersheds</td>
<td align="left">
<inline-formula id="inf8">
<mml:math id="m8">
<mml:mrow>
<mml:mi>S</mml:mi>
<mml:mi>R</mml:mi>
<mml:mo>&#x3d;</mml:mo>
<mml:mi>R</mml:mi>
<mml:mi>K</mml:mi>
<mml:mi>L</mml:mi>
<mml:mi>S</mml:mi>
<mml:mo>&#x2212;</mml:mo>
<mml:mi>U</mml:mi>
<mml:mi>S</mml:mi>
<mml:mi>L</mml:mi>
<mml:mi>E</mml:mi>
<mml:mo>&#x3d;</mml:mo>
<mml:mi>R</mml:mi>
<mml:mo>&#xd7;</mml:mo>
<mml:mi>K</mml:mi>
<mml:mo>&#xd7;</mml:mo>
<mml:mi>L</mml:mi>
<mml:mi>S</mml:mi>
<mml:mo>&#xd7;</mml:mo>
<mml:mrow>
<mml:mfenced open="(" close=")" separators="|">
<mml:mrow>
<mml:mn>1</mml:mn>
<mml:mo>&#x2212;</mml:mo>
<mml:mi>C</mml:mi>
<mml:mo>&#xd7;</mml:mo>
<mml:mi>P</mml:mi>
</mml:mrow>
</mml:mfenced>
</mml:mrow>
</mml:mrow>
</mml:math>
</inline-formula> (3)<break/>Where, SR is the annual soil conservation (t/hm<sup>2</sup>), RKLS is the maximum possible soil loss (t/hm<sup>2</sup>), USLE is the actual soil loss (t/hm<sup>2</sup>)</td>
</tr>
</tbody>
</table>
</table-wrap>
</sec>
<sec id="s2-3-2">
<title>2.3.2 Correlation analysis</title>
<p>Correlation analysis can effectively reflect the direction and intensity of ESs trade-offs and synergies (<xref ref-type="bibr" rid="B2">Agudelo et al., 2020</xref>). Spearman correlation analysis was used to quantify variation and relationships between ESs trade-offs and synergies on the three temporal scales in 2002, 2012, and 2022. Positive correlations between ESs correspond to synergies, and negative correlations correspond to trade-offs. The formula was as follows:<disp-formula id="e4">
<mml:math id="m9">
<mml:mrow>
<mml:mtable columnalign="left">
<mml:mtr>
<mml:mtd>
<mml:mrow>
<mml:msub>
<mml:mi>&#x3c1;</mml:mi>
<mml:mrow>
<mml:mi>X</mml:mi>
<mml:mo>,</mml:mo>
<mml:mi>Y</mml:mi>
</mml:mrow>
</mml:msub>
<mml:mo>&#x3d;</mml:mo>
<mml:mfrac>
<mml:mrow>
<mml:mi>c</mml:mi>
<mml:mi>o</mml:mi>
<mml:mi>v</mml:mi>
<mml:mrow>
<mml:mfenced open="(" close=")" separators="|">
<mml:mrow>
<mml:mi>X</mml:mi>
<mml:mo>,</mml:mo>
<mml:mi>Y</mml:mi>
</mml:mrow>
</mml:mfenced>
</mml:mrow>
</mml:mrow>
<mml:mrow>
<mml:msub>
<mml:mi>&#x3c3;</mml:mi>
<mml:mi>x</mml:mi>
</mml:msub>
<mml:msub>
<mml:mi>&#x3c3;</mml:mi>
<mml:mi>y</mml:mi>
</mml:msub>
</mml:mrow>
</mml:mfrac>
<mml:mo>&#x3d;</mml:mo>
<mml:mfrac>
<mml:mrow>
<mml:mi>E</mml:mi>
<mml:mrow>
<mml:mfenced open="(" close=")" separators="|">
<mml:mrow>
<mml:mrow>
<mml:mfenced open="(" close=")" separators="|">
<mml:mrow>
<mml:mi>X</mml:mi>
<mml:mo>&#x2212;</mml:mo>
<mml:msub>
<mml:mi>&#x3bc;</mml:mi>
<mml:mi>x</mml:mi>
</mml:msub>
</mml:mrow>
</mml:mfenced>
</mml:mrow>
<mml:mrow>
<mml:mfenced open="(" close=")" separators="|">
<mml:mrow>
<mml:mi>Y</mml:mi>
<mml:mo>&#x2212;</mml:mo>
<mml:msub>
<mml:mi>&#x3bc;</mml:mi>
<mml:mi>y</mml:mi>
</mml:msub>
</mml:mrow>
</mml:mfenced>
</mml:mrow>
</mml:mrow>
</mml:mfenced>
</mml:mrow>
</mml:mrow>
<mml:mrow>
<mml:msub>
<mml:mi>&#x3c3;</mml:mi>
<mml:mi>x</mml:mi>
</mml:msub>
<mml:msub>
<mml:mi>&#x3c3;</mml:mi>
<mml:mi>y</mml:mi>
</mml:msub>
</mml:mrow>
</mml:mfrac>
<mml:mo>&#x3d;</mml:mo>
<mml:mi>E</mml:mi>
<mml:mrow>
<mml:mfenced open="(" close=")" separators="|">
<mml:mrow>
<mml:mi>X</mml:mi>
<mml:mi>Y</mml:mi>
</mml:mrow>
</mml:mfenced>
</mml:mrow>
<mml:mo>&#x2212;</mml:mo>
<mml:mfrac>
<mml:mrow>
<mml:mi>E</mml:mi>
<mml:mrow>
<mml:mfenced open="(" close=")" separators="|">
<mml:mrow>
<mml:mi>X</mml:mi>
</mml:mrow>
</mml:mfenced>
</mml:mrow>
<mml:mi>E</mml:mi>
<mml:mrow>
<mml:mfenced open="(" close=")" separators="|">
<mml:mrow>
<mml:mi>Y</mml:mi>
</mml:mrow>
</mml:mfenced>
</mml:mrow>
</mml:mrow>
<mml:mrow>
<mml:msqrt>
<mml:mrow>
<mml:mi>E</mml:mi>
<mml:mrow>
<mml:mfenced open="(" close=")" separators="|">
<mml:mrow>
<mml:msup>
<mml:mi>X</mml:mi>
<mml:mn>2</mml:mn>
</mml:msup>
</mml:mrow>
</mml:mfenced>
</mml:mrow>
<mml:mo>&#x2212;</mml:mo>
<mml:msup>
<mml:mi>E</mml:mi>
<mml:mn>2</mml:mn>
</mml:msup>
<mml:mrow>
<mml:mfenced open="(" close=")" separators="|">
<mml:mrow>
<mml:mi>X</mml:mi>
</mml:mrow>
</mml:mfenced>
</mml:mrow>
</mml:mrow>
</mml:msqrt>
<mml:msqrt>
<mml:mrow>
<mml:mi>E</mml:mi>
<mml:mrow>
<mml:mfenced open="(" close=")" separators="|">
<mml:mrow>
<mml:msup>
<mml:mi>Y</mml:mi>
<mml:mn>2</mml:mn>
</mml:msup>
</mml:mrow>
</mml:mfenced>
</mml:mrow>
<mml:mo>&#x2212;</mml:mo>
<mml:msup>
<mml:mi>E</mml:mi>
<mml:mn>2</mml:mn>
</mml:msup>
<mml:mrow>
<mml:mfenced open="(" close=")" separators="|">
<mml:mrow>
<mml:mi>Y</mml:mi>
</mml:mrow>
</mml:mfenced>
</mml:mrow>
</mml:mrow>
</mml:msqrt>
</mml:mrow>
</mml:mfrac>
</mml:mrow>
</mml:mtd>
</mml:mtr>
<mml:mtr>
<mml:mtd>
<mml:mrow>
<mml:msub>
<mml:mi>r</mml:mi>
<mml:mi>g</mml:mi>
</mml:msub>
<mml:mo>&#x3d;</mml:mo>
<mml:msub>
<mml:mi>&#x3c1;</mml:mi>
<mml:mrow>
<mml:mi>r</mml:mi>
<mml:msub>
<mml:mi>g</mml:mi>
<mml:mi>X</mml:mi>
</mml:msub>
<mml:mo>,</mml:mo>
<mml:mi>r</mml:mi>
<mml:msub>
<mml:mi>g</mml:mi>
<mml:mi>Y</mml:mi>
</mml:msub>
</mml:mrow>
</mml:msub>
<mml:mo>&#x3d;</mml:mo>
<mml:mfrac>
<mml:mrow>
<mml:mi>c</mml:mi>
<mml:mi>o</mml:mi>
<mml:mi>v</mml:mi>
<mml:mrow>
<mml:mfenced open="(" close=")" separators="|">
<mml:mrow>
<mml:mi>r</mml:mi>
<mml:msub>
<mml:mi>g</mml:mi>
<mml:mi>X</mml:mi>
</mml:msub>
<mml:mo>,</mml:mo>
<mml:mi>r</mml:mi>
<mml:msub>
<mml:mi>g</mml:mi>
<mml:mi>Y</mml:mi>
</mml:msub>
</mml:mrow>
</mml:mfenced>
</mml:mrow>
</mml:mrow>
<mml:mrow>
<mml:msub>
<mml:mi>&#x3c1;</mml:mi>
<mml:mrow>
<mml:mi>r</mml:mi>
<mml:msub>
<mml:mi>g</mml:mi>
<mml:mi>X</mml:mi>
</mml:msub>
</mml:mrow>
</mml:msub>
<mml:msub>
<mml:mi>&#x3c1;</mml:mi>
<mml:mrow>
<mml:mi>r</mml:mi>
<mml:msub>
<mml:mi>g</mml:mi>
<mml:mi>Y</mml:mi>
</mml:msub>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:mfrac>
</mml:mrow>
</mml:mtd>
</mml:mtr>
</mml:mtable>
</mml:mrow>
</mml:math>
<label>(4)</label>
</disp-formula>
<inline-formula id="inf9">
<mml:math id="m10">
<mml:mrow>
<mml:msub>
<mml:mi>&#x3c1;</mml:mi>
<mml:mrow>
<mml:mi>X</mml:mi>
<mml:mo>,</mml:mo>
<mml:mi>Y</mml:mi>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> denotes the Pearson correlation coefficient of variables X and Y, cov denotes covariance, &#x3c3; denotes standard deviation, and <inline-formula id="inf10">
<mml:math id="m11">
<mml:mrow>
<mml:msub>
<mml:mi>&#x3c1;</mml:mi>
<mml:mrow>
<mml:mi>r</mml:mi>
<mml:msub>
<mml:mi>g</mml:mi>
<mml:mi>X</mml:mi>
</mml:msub>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> and <inline-formula id="inf11">
<mml:math id="m12">
<mml:mrow>
<mml:msub>
<mml:mi>&#x3c1;</mml:mi>
<mml:mrow>
<mml:mi>r</mml:mi>
<mml:msub>
<mml:mi>g</mml:mi>
<mml:mi>Y</mml:mi>
</mml:msub>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> denote the Spearman&#x2019;s correlation coefficient applied to the rank order of the original variables.</p>
</sec>
<sec id="s2-3-3">
<title>2.3.3 Geographically weighted regression (GWR) model</title>
<p>While correlation analysis offers a general understanding of overall trade-offs and synergies, it fails to capture the spatial heterogeneity of these effects. The GWR model, a robust spatial data analysis method, addresses this limitation by accounting for the heterogeneity and non-stationarity of spatial data, surpassing traditional regression models (<xref ref-type="bibr" rid="B17">Kupfer and Farris, 2007</xref>). To gain deeper insights into the spatial distribution of trade-offs and synergies among ESs, the GWR model was employed to reveal their spatial variations. The calculation formula was as follows:<disp-formula id="e5">
<mml:math id="m13">
<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>&#x3b2;</mml:mi>
<mml:mi>o</mml:mi>
</mml:msub>
<mml:mrow>
<mml:mfenced open="(" close=")" separators="|">
<mml:mrow>
<mml:msub>
<mml:mi>u</mml:mi>
<mml:mi>i</mml:mi>
</mml:msub>
<mml:mo>,</mml:mo>
<mml:msub>
<mml:mi>v</mml:mi>
<mml:mi>i</mml:mi>
</mml:msub>
</mml:mrow>
</mml:mfenced>
</mml:mrow>
<mml:mo>&#x2b;</mml:mo>
<mml:mstyle displaystyle="true">
<mml:munderover>
<mml:mo>&#x2211;</mml:mo>
<mml:mrow>
<mml:mi>k</mml:mi>
<mml:mo>&#x3d;</mml:mo>
<mml:mn>1</mml:mn>
</mml:mrow>
<mml:mi>p</mml:mi>
</mml:munderover>
</mml:mstyle>
<mml:mtext>&#x2009;</mml:mtext>
<mml:msub>
<mml:mi>&#x3b2;</mml:mi>
<mml:mi>k</mml:mi>
</mml:msub>
<mml:mrow>
<mml:mfenced open="(" close=")" separators="|">
<mml:mrow>
<mml:msub>
<mml:mi>u</mml:mi>
<mml:mi>i</mml:mi>
</mml:msub>
<mml:mo>,</mml:mo>
<mml:msub>
<mml:mi>v</mml:mi>
<mml:mi>i</mml:mi>
</mml:msub>
</mml:mrow>
</mml:mfenced>
</mml:mrow>
<mml:msub>
<mml:mi>x</mml:mi>
<mml:mrow>
<mml:mi>i</mml:mi>
<mml:mi>k</mml:mi>
</mml:mrow>
</mml:msub>
<mml:mo>&#x2b;</mml:mo>
<mml:msub>
<mml:mi>&#x3b5;</mml:mi>
<mml:mi>i</mml:mi>
</mml:msub>
</mml:mrow>
</mml:math>
<label>(5)</label>
</disp-formula>
</p>
<p>In the formula, <inline-formula id="inf12">
<mml:math id="m14">
<mml:mrow>
<mml:msub>
<mml:mi>y</mml:mi>
<mml:mi>i</mml:mi>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> is the explanatory variable, <inline-formula id="inf13">
<mml:math id="m15">
<mml:mrow>
<mml:msub>
<mml:mi>x</mml:mi>
<mml:mrow>
<mml:mi>i</mml:mi>
<mml:mi>k</mml:mi>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> is the independent variable, <inline-formula id="inf14">
<mml:math id="m16">
<mml:mrow>
<mml:mfenced open="(" close=")" separators="|">
<mml:mrow>
<mml:msub>
<mml:mi>u</mml:mi>
<mml:mi>i</mml:mi>
</mml:msub>
<mml:mo>,</mml:mo>
<mml:msub>
<mml:mi>v</mml:mi>
<mml:mi>i</mml:mi>
</mml:msub>
</mml:mrow>
</mml:mfenced>
</mml:mrow>
</mml:math>
</inline-formula> is the spatial location of point I, <inline-formula id="inf15">
<mml:math id="m17">
<mml:mrow>
<mml:msub>
<mml:mi>&#x3b2;</mml:mi>
<mml:mi>o</mml:mi>
</mml:msub>
<mml:mrow>
<mml:mfenced open="(" close=")" separators="|">
<mml:mrow>
<mml:msub>
<mml:mi>u</mml:mi>
<mml:mi>i</mml:mi>
</mml:msub>
<mml:mo>,</mml:mo>
<mml:msub>
<mml:mi>v</mml:mi>
<mml:mi>i</mml:mi>
</mml:msub>
</mml:mrow>
</mml:mfenced>
</mml:mrow>
</mml:mrow>
</mml:math>
</inline-formula> is the intercept at point I, <inline-formula id="inf16">
<mml:math id="m18">
<mml:mrow>
<mml:msub>
<mml:mi>&#x3b2;</mml:mi>
<mml:mi>k</mml:mi>
</mml:msub>
<mml:mrow>
<mml:mfenced open="(" close=")" separators="|">
<mml:mrow>
<mml:msub>
<mml:mi>u</mml:mi>
<mml:mi>i</mml:mi>
</mml:msub>
<mml:mo>,</mml:mo>
<mml:msub>
<mml:mi>v</mml:mi>
<mml:mi>i</mml:mi>
</mml:msub>
</mml:mrow>
</mml:mfenced>
</mml:mrow>
</mml:mrow>
</mml:math>
</inline-formula> is the regression coefficient, K is the ordinal number of the independent variable, P is the number of the independent variable, and &#x3b2; &#x3e; 0 is the positive correlation between explanatory and independent variables, and <italic>vice versa</italic> for the negative correlation. <inline-formula id="inf17">
<mml:math id="m19">
<mml:mrow>
<mml:msub>
<mml:mi>&#x3b5;</mml:mi>
<mml:mi>i</mml:mi>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> is a random disturbance term.</p>
</sec>
<sec id="s2-3-4">
<title>2.3.4 Geographic detector model</title>
<p>Geographic detector is a new statistical method for revealing the underlying mechanism driving it. Its q-statistics, which detect explanatory factors, and analyze interactions between variables, have been widely applied across natural and social sciences (<xref ref-type="bibr" rid="B45">Zhao et al., 2020</xref>). In this study, factor detection within the geographic detector framework was employed to explore the influence of individual factors on trade-offs and synergies among ESs, while interaction detection was used to further elucidate the interplay among these driving factors.</p>
<p>Factor detection quantifies the extent to which a single driver explains spatial divergence in ESs trade-offs and synergies, measured using the q-value metric. The formula was calculated as follows:<disp-formula id="e6">
<mml:math id="m20">
<mml:mrow>
<mml:mi mathvariant="normal">q</mml:mi>
<mml:mo>&#x3d;</mml:mo>
<mml:mn>1</mml:mn>
<mml:mo>&#x2212;</mml:mo>
<mml:mfrac>
<mml:mrow>
<mml:msubsup>
<mml:mo>&#x2211;</mml:mo>
<mml:mrow>
<mml:mi>k</mml:mi>
<mml:mo>&#x3d;</mml:mo>
<mml:mn>1</mml:mn>
</mml:mrow>
<mml:mi>n</mml:mi>
</mml:msubsup>
<mml:mtext>&#x2009;</mml:mtext>
<mml:msub>
<mml:mi>N</mml:mi>
<mml:mi>k</mml:mi>
</mml:msub>
<mml:msubsup>
<mml:mi>&#x3c3;</mml:mi>
<mml:mi>k</mml:mi>
<mml:mn>2</mml:mn>
</mml:msubsup>
</mml:mrow>
<mml:mrow>
<mml:mi>N</mml:mi>
<mml:msup>
<mml:mi>&#x3c3;</mml:mi>
<mml:mn>2</mml:mn>
</mml:msup>
</mml:mrow>
</mml:mfrac>
</mml:mrow>
</mml:math>
<label>(6)</label>
</disp-formula>where q is the effect of the driving factor on ESs trade-offs and synergies. K &#x3d; 1, &#x2026; , n is the classification of this influencing factor. N<sub>K</sub> and N are the number of cells in the sub-region and the whole region, respectively. &#x3c3;<sup>2</sup>
<sub>K</sub> and &#x3c3;<sup>2</sup> are the variance in the Y-values in the sub-region and the whole region, respectively.</p>
<p>Interaction detection was conducted to assess the relationships among different factors, specifically whether their combined interactions enhance or diminish the explanatory power of trade-offs and synergies among ESs, or whether their effects operate independently. The following five types of relationships were included:</p>
<p>If q(A&#x2229;B)&#x3c;Min(q(A), q(B)), the two factors are nonlinearly weakened.</p>
<p>If Min(q(A), q(B))&#x3c;q(A&#x2229;B)&#x3c;Max(q(A), q(B)), the one-factor nonlinearity is weakened.</p>
<p>If q(A&#x2229;B)&#x3e;Max(q(A), q(B)), then the two factors are enhanced.</p>
<p>If q(A&#x2229;B) &#x3d; q(A)&#x2b;q(B), the two factors are independent of each other.</p>
<p>If q(A&#x2229;B)&#x3e;q(A)&#x2b;q(B), then the two factors are nonlinearly enhanced.</p>
<p>Building on the primary factors identified in previous studies as drivers of variation in ESs trade-offs and synergies, and considering the distinctive landscape patterns of the Southwest Alpine Canyon Area, 12 influencing factors, encompassing both natural and socio-economic dimensions, were selected for analysis (<xref ref-type="table" rid="T3">Table 3</xref>).</p>
<table-wrap id="T3" position="float">
<label>TABLE 3</label>
<caption>
<p>Factors affecting ESs trade-offs and synergies.</p>
</caption>
<table>
<thead valign="top">
<tr>
<th align="left">Type</th>
<th align="left">Nature</th>
<th align="left">Socio-economic</th>
</tr>
</thead>
<tbody valign="top">
<tr>
<td rowspan="7" align="left">Driving factors</td>
<td align="left">Elevations</td>
<td align="left">Population density</td>
</tr>
<tr>
<td align="left">Precipitation</td>
<td align="left">GDP</td>
</tr>
<tr>
<td align="left">Evapotranspiration</td>
<td align="left">primary industry</td>
</tr>
<tr>
<td align="left">Temperature</td>
<td align="left">secondary industry</td>
</tr>
<tr>
<td align="left">Slope degree</td>
<td align="left">tertiary industry</td>
</tr>
<tr>
<td align="left">Slope aspect</td>
<td align="left"/>
</tr>
<tr>
<td align="left">Forest vegetation cover</td>
<td align="left"/>
</tr>
</tbody>
</table>
</table-wrap>
</sec>
</sec>
</sec>
<sec sec-type="results" id="s3">
<title>3 Results</title>
<sec id="s3-1">
<title>3.1 Spatial and temporal patterns of ecosystem services</title>
<p>The four ESs of CS, FS, WY, and SR in study area exhibit distinct spatial distribution patterns (<xref ref-type="fig" rid="F3">Figure 3</xref>). During the study period, low-value areas of CS were predominantly concentrated in the high-altitude alpine canyon regions of southeastern Tibet and the alpine canyon areas of eastern Tibet-western Sichuan (<xref ref-type="fig" rid="F1">Figure 1</xref>). High-value areas of FS were mainly located in the southern part of the study area, particularly in the high mountain canyon regions of southeastern Yunnan-southwestern Sichuan. WY exhibited high-value areas primarily in the high-altitude alpine canyon region of southeastern Tibet, while SR high-value areas were concentrated along the edges of the high-altitude alpine canyon region in southeastern Tibet and the alpine canyon region of northwestern Yunnan. Severe soil erosion and low soil conservation efficiency are prevalent in this region. High-value areas of soil retention and water yield were primarily located in the forested regions of the southern high-altitude alpine canyon area in southeastern Tibet, where extensive vegetation coverage, effective artificial protection measures, and high water and soil retention capacities prevail. These areas experience minimal human interference and exhibit elevated levels of ESs. In contrast, low-value zones were mainly found in the high mountain canyon regions of northern Yunnan-southwestern Sichuan and northwestern Yunnan, where intensive human activities have reduced naturalness and ESs levels. Arable lands in the high mountain valley areas of northern Yunnan-western Sichuan and northwestern Yunnan were significantly influenced by anthropogenic activities, leading to enhanced crop production capacity. The study area exhibited superior carbon storage services due to the widespread distribution of forest, which enhance carbon sequestration capabilities. Conversely, low-value areas of carbon storage were primarily located in the ice and snow-covered regions of the western part of the study area.</p>
<fig id="F3" position="float">
<label>FIGURE 3</label>
<caption>
<p>Spatial and temporal characteristics of ESs in the Southwest Alpine Canyon Area listed left to right as follows: <bold>(a)</bold> 2002, <bold>(b)</bold> 2012 and <bold>(c)</bold> 2022, and from top to bottom: CS, carbon sequestration; FS, food supply; WY, water yield; SR, soil conservation.</p>
</caption>
<graphic xlink:href="fenvs-13-1617210-g003.tif">
<alt-text content-type="machine-generated">Three panels labeled (a) 2002, (b) 2012, and (c) 2022 show maps with data for CS, FS, WY, and SR, each in different colors. CS in green, FS in red, WY in blue, and SR in orange. Each map uses a gradient to display different ranges of values.</alt-text>
</graphic>
</fig>
<p>From 2002 to 2022, the degree of change in ESs is illustrated in <xref ref-type="fig" rid="F4">Figure 4</xref>, with distinct patterns observed across different services. Carbon sequestration initially decreased and then increased, while both water yield and soil conservation showed a declining trend, with more pronounced changes in water production. Among all ESs, food supply demonstrated the most significant increase, showing a continuous upward trend. For the periods 2002&#x2013;2012 and 2012&#x2013;2022, water yield decreased by 1.14% and 6.75%, respectively, while soil conservation decreased by 1.72% and 1.63%, respectively. In contrast, food supply experienced an overall improvement, increasing by 8.46% and 10.04% during the same periods. Carbon sequestration decreased by 0.11% from 2002 to 2012 but showed a slight increase of 0.25% from 2012 to 2022.</p>
<fig id="F4" position="float">
<label>FIGURE 4</label>
<caption>
<p>Changes in ESs in the southwestern alpine canyon area, 2002&#x2013;2022. Note: CS, carbon sequestration; FS, food supply; WY, water yield; SR, soil conservation.</p>
</caption>
<graphic xlink:href="fenvs-13-1617210-g004.tif">
<alt-text content-type="machine-generated">Bar chart illustrating ecosystem service change percentages for years 2002-2012, 2012-2022, and 2002-2022 across four categories: CS, FS, WY, SR. FS shows the largest increase, while WY and SR demonstrate declines.</alt-text>
</graphic>
</fig>
</sec>
<sec id="s3-2">
<title>3.2 Ecosystem services trade-offs and synergies</title>
<sec id="s3-2-1">
<title>3.2.1 Trade-offs and synergies between ecosystem services</title>
<p>From 2002 to 2022, the study identified trade-offs and synergistic relationships among four ecosystem services: CS, FS, WY, and SR (<xref ref-type="fig" rid="F5">Figure 5</xref>). Six pairs of relationships were found, revealing significant synergistic effects for CS-WY, CS-SR, and WY-SR, highlighting a particularly strong synergy for WY-SR. Conversely, trade-off effects were observed for CS-FS, FS-WY, and FS-SR, with FS consistently exhibiting trade-offs with other ESs. The most pronounced trade-off was between FS and WY. Over the three time periods, the trade-offs between FS-WY and FS-SR initially intensified and subsequently weakened. The weakest trade-offs were recorded in 2002 (&#x2212;0.44 and &#x2212;0.38, respectively), while the strongest trade-offs occurred in 2012 (&#x2212;0.66 and &#x2212;0.56, respectively).</p>
<fig id="F5" position="float">
<label>FIGURE 5</label>
<caption>
<p>Trade-offs and synergies among ESs in the southwestern alpine canyon area: spearman correlation between different ecosystem services, in <bold>(a)</bold> 2002, <bold>(b)</bold> 2012, and <bold>(c)</bold> 2022. (Green indicate trade-offs, purple indicate synergies and the size of the circle indicate the strength of the correlation) Note: CS, carbon sequestration; FS, food supply; WY, water yield; SR, soil conservation.</p>
</caption>
<graphic xlink:href="fenvs-13-1617210-g005.tif">
<alt-text content-type="machine-generated">Three correlation matrices depicting trade-offs and synergies for the years 2002, 2012, and 2022. Each matrix shows correlations among CS, FS, WY, and SR, indicated by color intensity and circle size. Stronger positive correlations have larger blue circles; negative ones are teal. Correlation values are labeled, and significant correlations (p&#x3C;0.001) are marked with an asterisk. A color bar on the right shows the correlation scale from negative one to one.</alt-text>
</graphic>
</fig>
</sec>
<sec id="s3-2-2">
<title>3.2.2 Spatial heterogeneity in ecosystem services trade-offs and synergies</title>
<p>The study revealed significant spatial heterogeneity of trade-offs and synergies among ecosystem services (<xref ref-type="fig" rid="F6">Figure 6</xref>). The spatial synergies of between FS and WY as well as between FS and SR exhibited a broad distribution, predominantly concentrated in the high-altitude alpine canyon regions of southeastern Tibet and the alpine canyon areas of eastern Tibet-western Sichuan within the western part of the study area (<xref ref-type="fig" rid="F1">Figure 1</xref>). Conversely, the spatial trade-offs of between WY and SR were widely distributed across most regions in study area, excluding the northern edge of the study area, with particularly pronounced strong trade-offs observed in the alpine canyon regions of northern Yunnan-southwestern Sichuan and northwestern Yunnan. Furthermore, during the study period, a pronounced increasing trend in the spatial strong trade-offs between CS and WY, as well as between WY and SR, was consistently observed over time.</p>
<fig id="F6" position="float">
<label>FIGURE 6</label>
<caption>
<p>Spatial patterns of trade-offs and synergies among ESs in the Southwest Alpine Canyon Area from top to bottom: <bold>(a)</bold> 2002, <bold>(b)</bold> 2012 and <bold>(c)</bold> 2022. Note: CS-FS, carbon sequestration and food supply; CS-WY, carbon sequestration and water yield; CS-SR, carbon sequestration and soil conservation; FS-WY, food supply and water yield; FS-SR, food supply and soil conservation; WY-SR, water yield and soil conservation.</p>
</caption>
<graphic xlink:href="fenvs-13-1617210-g006.tif">
<alt-text content-type="machine-generated">Maps display changes in trade-offs and synergies over a region for the years 2002, 2012, and 2022. Each panel shows six maps with various color gradients representing trade-off and synergy levels between different components labeled CS-FS, CS-WY, CS-SR, FS-WY, FS-SR, and WY-SR. The color gradients range from high to low, indicating variations over time. A scale and orientation marker are included.</alt-text>
</graphic>
</fig>
</sec>
</sec>
<sec id="s3-3">
<title>3.3 Mechanisms driving ecosystem services trade-offs and synergies</title>
<sec id="s3-3-1">
<title>3.3.1 Explanatory power of natural factors and socio-economic factors</title>
<p>The study assessed the explanatory power of drivers affecting trade-offs and synergies among ecosystem services, and used q-statistic to identify dominant drivers (<xref ref-type="fig" rid="F7">Figure 7</xref>). In 2002, elevation was the primary driver for the vast majority ESs trade-offs and synergistic pairs, while slope degree dominated CS-SR. Temperature ranked second for CS-FS and WY-SR. GDP was the second most influential factor for CS-WY, and population density was the second most important for FS-WY and FS-SR. In 2012, elevation remained the primary factor for CS-FS, while temperature emerged as the dominant driver for CS-WY and WY-SR. Slope degree continued to lead CS-SR, and population density became the primary factor for FS-WY and FS-SR. In 2022, elevation retained its dominance for most ESs trade-offs and synergistic pairs. Secondary industry became the primary factor for CS-SR, and temperature was the most influential for WY-SR. Temperature ranked second for CS-FS, population density was the second most important for CS-WY, FS-WY, and FS-SR, slope degree was the second most significant for CS-SR, and elevation was the second most important for WY-SR.</p>
<fig id="F7" position="float">
<label>FIGURE 7</label>
<caption>
<p>Factor detection results revealing the effects of factors on trade-offs and synergies between ESs. From top to bottom, respectively: <bold>(a)</bold> 2002 Factor detector, <bold>(b)</bold> 2012 Factor detector and <bold>(c)</bold> 2022 Factor detector. Note: CS-FS, carbon sequestration and food supply; CS-WY, carbon sequestration and water yield; CS-SR, carbon sequestration and soil conservation; FS-WY, food supply and water yield; FS-SR, food supply and soil conservation; WY-SR, water yield and soil conservation.</p>
</caption>
<graphic xlink:href="fenvs-13-1617210-g007.tif">
<alt-text content-type="machine-generated">Three heatmaps, labeled (a), (b), and (c), represent 2002, 2012, and 2022 factor detectors. Each chart displays the relationship between paired ecosystem services and various driving factors like elevation, precipitation, and GDP. The color gradient represents q values, with darker colors indicating higher values.</alt-text>
</graphic>
</fig>
<p>In summary, elevation consistently drove CS-FS dynamics, other ESs pairs exhibited temporal shifts in dominant factors, such as slope degree (2002&#x2013;2012) and secondary industry (2022) for CS-SR. Furthermore, the trade-offs and synergies among ESs in the region are significantly influenced by a combination of natural and socio-economic factors, with elevation, slope degree, temperature, and population density playing pivotal roles.</p>
</sec>
<sec id="s3-3-2">
<title>3.3.2 Combination of interactions between natural factors and socio-economic factors</title>
<p>The results showed that the interactions between any two factors significantly enhanced explanatory power (<xref ref-type="fig" rid="F8">Figure 8</xref>). During the study period, FS-WY and FS-SR interactions exhibited the highest sensitivity. In 2002, the interactions between elevation and slope degree, forest vegetation cover, tertiary industry exhibited the strongest explanatory power for CS-FS. For CS-WY, the interaction between slope degree and elevation, secondary industry, had significant influence. Forest vegetation cover and slope degree dominated CS-SR. The interactions between elevation and precipitation, evapotranspiration, and forest vegetation cover were the primary driver combinations for FS-WY and FS-SR. Regarding WY-SR, the interaction between temperature and primary industry, tertiary industry was the most significant explanatory power. In 2012, elevation and slope degree, primary industry, and tertiary industry were the main interaction combinations for CS-FS. For CS-WY, slope degree and elevation, GDP and evapotranspiration, and temperature and precipitation were the primary combinations of explanatory power. Tertiary industry and slope degree exerted the most significant influence on CS-SR, while the interactions between elevation and population density, primary industry had the largest effect on FS-WY and FS-SR. The interactions between temperature and evapotranspiration, slope degree, primary industry, and tertiary industry were the primary driver combinations for WY-SR. In 2022, secondary industry and elevation were the most significant for CS-FS and CS-WY. Primary industry and elevation dominated CS-SR. The interaction between elevation and other factors constitutes the primary driver combination for FS-WY and FS-SR. Primary industry and temperature were the most influential for WY-SR.</p>
<fig id="F8" position="float">
<label>FIGURE 8</label>
<caption>
<p>Interaction detection results of factors driving trade-offs and synergies between ESs from top to bottom: <bold>(a)</bold> 2002 Interaction detector, <bold>(b)</bold> 2012 Interaction detector and <bold>(c)</bold> 2022 Interaction detector. Note: CS-FS, carbon sequestration and food supply; CS-WY, carbon sequestration and water yield; CS-SR, carbon sequestration and soil conservation; FS-WY, food supply and water yield; FS-SR, food supply and soil conservation; WY-SR, water yield and soil conservation.</p>
</caption>
<graphic xlink:href="fenvs-13-1617210-g008.tif">
<alt-text content-type="machine-generated">Three panels of heat maps labeled (a) 2002, (b) 2012, and (c) 2022, show interactions between driving and response factors. Each panel has six subplots comparing factors like elevation, precipitation, and GDP, with q-values represented by color gradients.</alt-text>
</graphic>
</fig>
<p>In summary, interactions were primarily characterized by two-factor enhancement or nonlinear enhancement, with no independent effects. In all ESs pairs, the interaction between elevation and other influencing factors represents the most critical driver combination.</p>
</sec>
</sec>
</sec>
<sec sec-type="discussion" id="s4">
<title>4 Discussion</title>
<sec id="s4-1">
<title>4.1 Ecosystem services in alpine canyon areas of Southwest China</title>
<p>Human survival is fundamentally dependent on the continuous provision of ecosystem services, and this dependence intensifies over time (<xref ref-type="bibr" rid="B4">Bennett et al., 2009</xref>). In the alpine canyon area of southwest China, carbon sequestration services provide the most significant ESs benefits. Areas with high carbon sequestration capacity are predominantly located in mountainous and hilly regions, where extensive natural and semi-natural forest landscapes serve as critical carbon sinks (<xref ref-type="bibr" rid="B31">Shen et al., 2020</xref>). Furthermore, the region&#x2019;s high elevation and rugged terrain enhance humid airflow, resulting in abundant precipitation, while the elevated altitude reduces evaporation rates (<xref ref-type="bibr" rid="B34">Tan et al., 2024</xref>). These topographic and climatic characteristics collectively enhance the carbon sequestration potential and protective capacity of the Southwest Alpine Canyon. However, soil conservation and water yield services in this region have exhibited a decline, undermining their ecological functions (<xref ref-type="bibr" rid="B3">Aneseyee et al., 2020</xref>). Previous studies have indicated that water yield and soil conservation services tend to diminish when the forest area ratio exceeds a certain threshold (<xref ref-type="bibr" rid="B26">Pergams and Zaradic, 2008</xref>). To meet growing service demands, ecosystems are often transformed, either by reducing natural ecosystem areas or intensifying human energy inputs (<xref ref-type="bibr" rid="B46">Zhou et al., 2022</xref>). For instance, converting mountains and slopes for crop cultivation increases food supply but exacerbates soil erosion. Similarly, deforestation for agricultural expansion boosts food production but reduces biodiversity, water production, and soil retention capacity. To address these challenges, ecological protection must be prioritized during development, ensuring a balance between progress and conservation.</p>
</sec>
<sec id="s4-2">
<title>4.2 Dynamics of ecosystem service trade-offs and synergies</title>
<p>The relationships between ESs in the study area have changed over time. These changes are characterized by trade-offs and synergies, influenced by the diversity of ESs types, their uneven spatial distribution, and selective human utilization (<xref ref-type="bibr" rid="B38">Wang et al., 2024</xref>). These interactions are inherently complex (<xref ref-type="bibr" rid="B30">Schirpke et al., 2019</xref>), necessitating systematic analysis to clarify their dynamics and optimize ecosystem structure. In this study, trade-offs were observed between food supply and carbon sequestration, water yield, and soil conservation, consistent with findings from other regions. For instance, <xref ref-type="bibr" rid="B28">Raudsepp-Hearne and Peterson (2016)</xref> highlighted the importance of scale in ESs evaluation in the Richelieu and Yamaska basins of Canada, while <xref ref-type="bibr" rid="B16">Hao et al. (2023)</xref> identified similar trade-offs in the Qiantang River Basin in southeastern China. Additionally, significant synergies were observed for CS-WY, CS-SR, and WY-SR. These findings align with studies in the Beijing-Tianjin-Hebei region (<xref ref-type="bibr" rid="B12">Feng et al., 2021</xref>) and the Nile River Basin (<xref ref-type="bibr" rid="B32">Shifaw et al., 2024</xref>), which also reported synergies between CS, SR, and WY. The spatial heterogeneity of ESs trade-offs and synergies further underscores their complexity. For example, in the eastern part of the study area where precipitation is abundant, precipitation enhances wind erosion resistance and carbon fixation by regulating soil moisture and increasing vegetation coverage, fostering synergies between water production and carbon fixation services (<xref ref-type="bibr" rid="B1">Abera et al., 2021</xref>). However, arid and semi-arid areas in the western part of the study area, increased precipitation and soil moisture elevate evaporation rates, reducing surface temperatures and limiting vegetation photosynthesis in high-altitude cold areas (<xref ref-type="bibr" rid="B41">Xu et al., 2017</xref>; <xref ref-type="bibr" rid="B33">Tallis et al., 2008</xref>), resulting in a trade-off between water production and carbon fixation services. Understanding these dynamics provide a scientific foundation for regional land planning, biodiversity conservation, and ecological compensation.</p>
</sec>
<sec id="s4-3">
<title>4.3 Factors influencing ecosystem services trade-offs and synergies</title>
<p>The study explore the intrinsic mechanisms underlying changes in ESs trade-offs and synergies, and identify the natural and socio-economic factors influencing ESs trade-offs and synergies (<xref ref-type="bibr" rid="B20">Li et al., 2022</xref>; <xref ref-type="bibr" rid="B21">Liang et al., 2024</xref>; <xref ref-type="bibr" rid="B43">Yang et al., 2024</xref>). The results reveal that the trade-offs and synergies among ESs in the region are significantly influenced by a combination of natural and socio-economic factors, with elevation, slope degree, temperature, and population density playing pivotal roles. These factors are intricately interconnected, shaping the dynamics of ESs interactions in the region. Notably, in all ESs pairs, the interaction between elevation and other influencing factors represent the most critical driver combination. Mountainous areas, characterized by more complex topographic conditions than plains (<xref ref-type="bibr" rid="B19">Li et al., 2013</xref>), the effect of elevation is amplified by carrying greater elevation change per unit of horizontal distance and by the mountain range orientation interfering with atmospheric circulation. Widely varying elevation differences are common in the study area, leading to reorganization of hydrothermal conditions that directly determine vegetation types, soil development, and species distribution (<xref ref-type="bibr" rid="B39">Wang and Dai, 2020</xref>). These findings corroborate the conclusion that elevation are primary drivers of ESs trade-offs and synergies. Population density and GDP significantly explained ESs interactions, underscoring the regulatory role of human activities. Furthermore, the results indicate that two-factor enhancement and nonlinear enhancement dominated, emphasizing the critical role of factor interactions in shaping ESs dynamics (<xref ref-type="bibr" rid="B4">Bennett et al., 2009</xref>).</p>
</sec>
<sec id="s4-4">
<title>4.4 Sustainable development and research prospects</title>
<p>Ethnic minority communities in Southwest China have long inhabited the high-altitude alpine canyon areas, where limited production and construction land coexist with fragile ecosystems. These communities have accumulated substantial ecological wisdom, integrated into their traditional culture, which is crucial for the region&#x2019;s sustainable development. This study conducted an in-depth analysis of ESs trade-offs and synergies in the alpine canyon, elucidating the mechanisms by which natural and human factors interact to shape ESs dynamics. This approach addresses the limitations of quantitative analyses in highly vulnerable and complex ecosystems, providing novel insights into ESs research in alpine canyons. By emphasizing the importance of individual factors and their interactions, as well as analyzing the spatial heterogeneity of ESs trade-offs and synergies, establishing development and protection priorities can inform optimal land use planning and policy measures. These measures support sustainable development, environmental protection, and regional planning in the Alpine Canyon area. Furthermore, this study offers scientific and technological support for ecological civilization policies and economic development in ethnic minority gathering areas of the China Southwest Alpine Canyon.</p>
</sec>
</sec>
<sec sec-type="conclusion" id="s5">
<title>5 Conclusion</title>
<p>This study, utilizing multi-source datasets from the Southwest Alpine Canyon Area, quantitatively evaluate the spatiotemporal dynamics of key ESs - including carbon sequestration, food supply, water yield, and soil conservation - from 2002 to 2022. The trade-offs and synergies among ESs were quantified, and their spatial heterogeneity was systematically analyzed. Furthermore, the primary driving factors of ESs trade-offs and synergies, as well as the explanatory power of interactions among these factors, were identified. For the whole study area, carbon sequestration initially decreased and then increased. Water yield and soil conservation generally declined, with water yield showing more significant changes. Among all services, food supply exhibited the most significant increase, continuing to rise over the study period. A trade-off was observed between food supply and other ESs, with the most pronounced trade-off occurring between food supply and water yield. Spatially, this trade-off was predominantly distributed in the environmentally favorable alpine canyon regions of North Yunnan-Southwest Sichuan and Northwest Yunnan. In all ESs pairs, the interaction between elevation and other influencing factors represent the most critical driver combination. The trade-offs and synergies among ESs in the region are significantly influenced by a combination of natural and socio-economic factors, with elevation, slope degree, temperature, and population density playing pivotal roles. These factors are intricately interconnected, shaping the dynamics of ESs interactions in the region. These findings provide both valuable insights and theoretical foundations for the scientific management of ESs in the Southwest Alpine Canyon Area. By analyzing the trade-offs and synergies among ESs, this research identifies strategies to optimize resource utilization intensity, thereby reducing the vulnerability of both the environment and society to emergencies. Additionally, the study offers practical value for land use management in multi-ethnic gathering areas, as well as for enhancing ecological construction and environmental protection in key watersheds within the region.</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/supplementary material, further inquiries can be directed to the corresponding author.</p>
</sec>
<sec sec-type="author-contributions" id="s7">
<title>Author contributions</title>
<p>JJ: Investigation, Writing &#x2013; review and editing, Conceptualization, Validation, Software, Methodology, Formal Analysis, Writing &#x2013; original draft, Data curation, Visualization. JH: Funding acquisition, Project administration, Resources, Formal Analysis, Validation, Writing &#x2013; review and editing, Conceptualization, Supervision. CZ: Funding acquisition, Project administration, Resources, Writing &#x2013; review and editing. HF: Writing &#x2013; review and editing, Resources, Data curation, Project administration, Investigation. YZ: Data curation, Investigation, Writing &#x2013; review and editing.</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 research was supported by the National Key Research and Development Program of China (2022YFF1302905).</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>
<ref-list>
<title>References</title>
<ref id="B1">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Abera</surname>
<given-names>W.</given-names>
</name>
<name>
<surname>Tamene</surname>
<given-names>L.</given-names>
</name>
<name>
<surname>Kassawmar</surname>
<given-names>T.</given-names>
</name>
<name>
<surname>Mulatu</surname>
<given-names>K.</given-names>
</name>
<name>
<surname>Kassa</surname>
<given-names>H.</given-names>
</name>
<name>
<surname>Verchot</surname>
<given-names>L.</given-names>
</name>
<etal/>
</person-group> (<year>2021</year>). <article-title>Impacts of land use and land cover dynamics on ecosystem services in the yayo coffee forest biosphere reserve, Southwestern Ethiopia</article-title>. <source>Ecosyst. Serv.</source> <volume>50</volume>, <fpage>101338</fpage>. <pub-id pub-id-type="doi">10.1016/j.ecoser.2021.101338</pub-id>
</citation>
</ref>
<ref id="B2">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Agudelo</surname>
<given-names>C. A. R.</given-names>
</name>
<name>
<surname>Bustos</surname>
<given-names>S. L. H.</given-names>
</name>
<name>
<surname>Moreno</surname>
<given-names>C. A. P.</given-names>
</name>
</person-group> (<year>2020</year>). <article-title>Modeling interactions among multiple ecosystem services. A critical review</article-title>. <source>Ecol. Modell.</source> <volume>429</volume>, <fpage>109103</fpage>. <pub-id pub-id-type="doi">10.1016/j.ecolmodel.2020.109103</pub-id>
</citation>
</ref>
<ref id="B3">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Aneseyee</surname>
<given-names>A. B.</given-names>
</name>
<name>
<surname>Elias</surname>
<given-names>E.</given-names>
</name>
<name>
<surname>Soromessa</surname>
<given-names>T.</given-names>
</name>
<name>
<surname>Feyisa</surname>
<given-names>G. L.</given-names>
</name>
</person-group> (<year>2020</year>). <article-title>Land use/land cover change effect on soil erosion and sediment delivery in the winike watershed, omo gibe basin, Ethiopia</article-title>. <source>Sci. Total Environ.</source> <volume>728</volume>, <fpage>138776</fpage>. <pub-id pub-id-type="doi">10.1016/j.scitotenv.2020.138776</pub-id>
</citation>
</ref>
<ref id="B4">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Bennett</surname>
<given-names>E. M.</given-names>
</name>
<name>
<surname>Peterson</surname>
<given-names>G. D.</given-names>
</name>
<name>
<surname>Gordon</surname>
<given-names>L. J.</given-names>
</name>
</person-group> (<year>2009</year>). <article-title>Understanding relationships among multiple ecosystem services</article-title>. <source>Ecol. Lett.</source> <volume>12</volume>, <fpage>1394</fpage>&#x2013;<lpage>1404</lpage>. <pub-id pub-id-type="doi">10.1111/j.1461-0248.2009.01387x</pub-id>
</citation>
</ref>
<ref id="B5">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Boithias</surname>
<given-names>L.</given-names>
</name>
<name>
<surname>Acu&#xf1;a</surname>
<given-names>V.</given-names>
</name>
<name>
<surname>Vergo&#xf1;&#xf3;s</surname>
<given-names>L.</given-names>
</name>
<name>
<surname>Ziv</surname>
<given-names>G.</given-names>
</name>
<name>
<surname>Marc&#xe9;</surname>
<given-names>R.</given-names>
</name>
<name>
<surname>Sabater</surname>
<given-names>S.</given-names>
</name>
</person-group> (<year>2014</year>). <article-title>Assessment of the water supply: demand ratios in a Mediterranean Basin under different global change scenarios and mitigation alternatives</article-title>. <source>Sci. Total Environ.</source> <volume>470</volume>, <fpage>567</fpage>&#x2013;<lpage>577</lpage>. <pub-id pub-id-type="doi">10.1016/j.scitotenv.2013.10.003</pub-id>
</citation>
</ref>
<ref id="B6">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Cord</surname>
<given-names>A. F.</given-names>
</name>
<name>
<surname>Bartkowski</surname>
<given-names>B.</given-names>
</name>
<name>
<surname>Beckmann</surname>
<given-names>M.</given-names>
</name>
<name>
<surname>Dittrich</surname>
<given-names>A.</given-names>
</name>
<name>
<surname>Hermans-Neumann</surname>
<given-names>K.</given-names>
</name>
<name>
<surname>Kaim</surname>
<given-names>A.</given-names>
</name>
<etal/>
</person-group> (<year>2017</year>). <article-title>Towards systematic analyses of ecosystem service trade-offs and synergies: main concepts, methods and the road ahead</article-title>. <source>Ecosyst. Serv.</source> <volume>28</volume>, <fpage>264</fpage>&#x2013;<lpage>272</lpage>. <pub-id pub-id-type="doi">10.1016/j.ecoser.2017.07.012</pub-id>
</citation>
</ref>
<ref id="B7">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Costanza</surname>
<given-names>R.</given-names>
</name>
<name>
<surname>d&#x2019;Arge</surname>
<given-names>R.</given-names>
</name>
<name>
<surname>De Groot</surname>
<given-names>R.</given-names>
</name>
<name>
<surname>Farber</surname>
<given-names>S.</given-names>
</name>
<name>
<surname>Grasso</surname>
<given-names>M.</given-names>
</name>
<name>
<surname>Hannon</surname>
<given-names>B.</given-names>
</name>
<etal/>
</person-group> (<year>1998</year>). <article-title>The value of the world&#x27;s ecosystem services and natural capital</article-title>. <source>Ecol. Econ.</source> <volume>25</volume>, <fpage>3</fpage>&#x2013;<lpage>15</lpage>. <pub-id pub-id-type="doi">10.1016/S0921-8009(98)00020-2</pub-id>
</citation>
</ref>
<ref id="B8">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Daming</surname>
<given-names>H.</given-names>
</name>
<name>
<surname>Wenjuan</surname>
<given-names>Z.</given-names>
</name>
<name>
<surname>Yan</surname>
<given-names>F.</given-names>
</name>
</person-group> (<year>2004</year>). <article-title>Research progress of international Rivers in China</article-title>. <source>J. Geogr. Sci.</source> <volume>14</volume>, <fpage>21</fpage>&#x2013;<lpage>28</lpage>. <pub-id pub-id-type="doi">10.1007/BF02841103</pub-id>
</citation>
</ref>
<ref id="B9">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Da-ming</surname>
<given-names>H.</given-names>
</name>
<name>
<surname>Xuan-juan</surname>
<given-names>L.</given-names>
</name>
</person-group> (<year>2001</year>). <article-title>Equitable utilisation and effective protection of sharing transboundary water resources: international Rivers of Western China</article-title>. <source>J. Geogr. Sci.</source> <volume>11</volume>, <fpage>490</fpage>&#x2013;<lpage>500</lpage>. <pub-id pub-id-type="doi">10.1007/BF02837978</pub-id>
</citation>
</ref>
<ref id="B10">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Ding</surname>
<given-names>Z.</given-names>
</name>
<name>
<surname>Jichun</surname>
<given-names>T.</given-names>
</name>
<name>
<surname>Wenyong</surname>
<given-names>T.</given-names>
</name>
<name>
<surname>Wang</surname>
<given-names>K.</given-names>
</name>
<name>
<surname>Zhao</surname>
<given-names>S.</given-names>
</name>
<name>
<surname>Song</surname>
<given-names>W.</given-names>
</name>
<etal/>
</person-group> (<year>2021</year>). <article-title>A graph theory into street network characteristics of the plain-type and the slope-type historical blocks: based on China&#x27;s Southwestern regions</article-title>. <source>Fundam. Res., ISUF 2020 Virtual Conf. Proc.</source> <fpage>104</fpage>, <lpage>110</lpage>. <pub-id pub-id-type="doi">10.1016/j.fmre.2021.02.002</pub-id>
</citation>
</ref>
<ref id="B11">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Donohue</surname>
<given-names>R. J.</given-names>
</name>
<name>
<surname>Roderick</surname>
<given-names>M. L.</given-names>
</name>
<name>
<surname>McVicar</surname>
<given-names>T. R.</given-names>
</name>
</person-group> (<year>2012</year>). <article-title>Roots, storms and soil pores: incorporating key ecohydrological processes into Budyko&#x2019;s hydrological model</article-title>. <source>J. Hydrol.</source> <volume>436</volume>, <fpage>35</fpage>&#x2013;<lpage>50</lpage>. <pub-id pub-id-type="doi">10.1016/j.jhydrol.2012.02.033</pub-id>
</citation>
</ref>
<ref id="B12">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Feng</surname>
<given-names>Z.</given-names>
</name>
<name>
<surname>Chen</surname>
<given-names>T.</given-names>
</name>
<name>
<surname>Wu</surname>
<given-names>J.</given-names>
</name>
</person-group> (<year>2021</year>). <article-title>Understanding trade-offs and synergies of ecosystem services to support the decision-making in the beig-tian-hebei region</article-title>. <source>Land Use Policy</source> <volume>106</volume>, <fpage>105446</fpage>. <pub-id pub-id-type="doi">10.1016/j.landusepol.2021.105446</pub-id>
</citation>
</ref>
<ref id="B13">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Fu</surname>
<given-names>B. J.</given-names>
</name>
<name>
<surname>Yu</surname>
<given-names>D. D.</given-names>
</name>
</person-group> (<year>2016</year>). <article-title>Trade-off analyses and synthetic integrated method of multiple ecosystem services</article-title>. <source>Resour. Sci.</source> <volume>38</volume>, <fpage>1</fpage>&#x2013;<lpage>9</lpage>. <pub-id pub-id-type="doi">10.18402/resci.2016.01.01</pub-id>
</citation>
</ref>
<ref id="B14">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Guo</surname>
<given-names>B.</given-names>
</name>
<name>
<surname>Yang</surname>
<given-names>F.</given-names>
</name>
<name>
<surname>Fan</surname>
<given-names>Y.</given-names>
</name>
<name>
<surname>Zang</surname>
<given-names>W.</given-names>
</name>
</person-group> (<year>2023</year>). <article-title>The dominant driving factors of rocky desertification and their variations in typical mountainous karst areas of southwest China in the context of global change</article-title>. <source>Catena</source> <volume>220</volume>, <fpage>106674</fpage>. <pub-id pub-id-type="doi">10.1016/j.catena.2022.106674</pub-id>
</citation>
</ref>
<ref id="B15">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Hall</surname>
<given-names>G. L.</given-names>
</name>
<name>
<surname>Thompson</surname>
<given-names>B. R.</given-names>
</name>
<name>
<surname>Stanojevic</surname>
<given-names>S.</given-names>
</name>
<name>
<surname>Abramson</surname>
<given-names>M. J.</given-names>
</name>
<name>
<surname>Beasley</surname>
<given-names>R.</given-names>
</name>
<name>
<surname>Coates</surname>
<given-names>A.</given-names>
</name>
<etal/>
</person-group> (<year>2012</year>). <article-title>The global lung initiative 2012 reference values reflect contemporary Australasian spirometry</article-title>. <source>Respirology</source> <volume>17</volume>, <fpage>1150</fpage>&#x2013;<lpage>1151</lpage>. <pub-id pub-id-type="doi">10.1111/j.1440-1843.2012.02232x</pub-id>
</citation>
</ref>
<ref id="B16">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Hao</surname>
<given-names>X.</given-names>
</name>
<name>
<surname>Yuan</surname>
<given-names>S.</given-names>
</name>
<name>
<surname>Prishchepov</surname>
<given-names>A. V.</given-names>
</name>
</person-group> (<year>2023</year>). <article-title>Spatial-temporal heterogeneity of ecosystem service interactions and their social-ecological drivers: implications for spatial planning and management</article-title>. <source>Resour. Conserv. Recy.</source> <volume>189</volume>, <fpage>106767</fpage>. <pub-id pub-id-type="doi">10.1016/j.resconrec.2022.106767</pub-id>
</citation>
</ref>
<ref id="B17">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Kupfer</surname>
<given-names>J. A.</given-names>
</name>
<name>
<surname>Farris</surname>
<given-names>C. A.</given-names>
</name>
</person-group> (<year>2007</year>). <article-title>Incorporating spatial non-stationarity of regression coefficients into predictive vegetation models</article-title>. <source>Landsc. Ecol.</source> <volume>22</volume>, <fpage>837</fpage>&#x2013;<lpage>852</lpage>. <pub-id pub-id-type="doi">10.1007/s10980-006-9058-2</pub-id>
</citation>
</ref>
<ref id="B18">
<citation citation-type="book">
<person-group person-group-type="author">
<name>
<surname>Li</surname>
<given-names>J. H.</given-names>
</name>
</person-group> (<year>2010</year>). <source>The cultural interpretation of southwest settlement patterns</source>. <publisher-loc>Chongqing</publisher-loc>: <publisher-name>Chongqing University</publisher-name>.</citation>
</ref>
<ref id="B19">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Li</surname>
<given-names>S. C.</given-names>
</name>
<name>
<surname>Zhang</surname>
<given-names>C. Y.</given-names>
</name>
<name>
<surname>Liu</surname>
<given-names>J. L.</given-names>
</name>
<name>
<surname>Zhu</surname>
<given-names>W. B.</given-names>
</name>
<name>
<surname>Ma</surname>
<given-names>C.</given-names>
</name>
<name>
<surname>Wang</surname>
<given-names>J.</given-names>
</name>
</person-group> (<year>2013</year>). <article-title>The tradeoffs and synergies of ecosystem services: research progress, development trend, and themes of geography</article-title>. <source>Geogr. Res.</source> <volume>32</volume>, <fpage>1379</fpage>&#x2013;<lpage>1390</lpage>. <pub-id pub-id-type="doi">10.1111/geor.12016</pub-id>
</citation>
</ref>
<ref id="B20">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Li</surname>
<given-names>Y.</given-names>
</name>
<name>
<surname>Zeng</surname>
<given-names>C.</given-names>
</name>
<name>
<surname>Liu</surname>
<given-names>Z.</given-names>
</name>
<name>
<surname>Cai</surname>
<given-names>B.</given-names>
</name>
<name>
<surname>Zhang</surname>
<given-names>Y.</given-names>
</name>
</person-group> (<year>2022</year>). <article-title>Integrating landscape pattern into characterising and optimising ecosystem services for regional sustainable development</article-title>. <source>Land</source> <volume>11</volume>, <fpage>140</fpage>. <pub-id pub-id-type="doi">10.3390/land11010140</pub-id>
</citation>
</ref>
<ref id="B21">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Liang</surname>
<given-names>S.</given-names>
</name>
<name>
<surname>Yang</surname>
<given-names>F.</given-names>
</name>
<name>
<surname>Zhang</surname>
<given-names>J.</given-names>
</name>
<name>
<surname>Xiong</surname>
<given-names>S.</given-names>
</name>
<name>
<surname>Xu</surname>
<given-names>Z.</given-names>
</name>
</person-group> (<year>2024</year>). <article-title>Assessment and management zoning of ecosystem service trade-Off/Synergy based on the social-ecological balance: a case of the chang-zhu-tan metropolitan area</article-title>. <source>Land</source> <volume>13</volume>, <fpage>127</fpage>. <pub-id pub-id-type="doi">10.3390/land13020127</pub-id>
</citation>
</ref>
<ref id="B22">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Lin</surname>
<given-names>L.</given-names>
</name>
<name>
<surname>Gui</surname>
<given-names>Y.</given-names>
</name>
</person-group> (<year>2024</year>). <article-title>Traditional culture of settlements associated with the natural environment: the case of yi minority southwest China</article-title>. <source>J. Asian Archit. Build. Eng.</source> <volume>24</volume>, <fpage>2411</fpage>&#x2013;<lpage>2429</lpage>. <pub-id pub-id-type="doi">10.1080/13467581.2024.2373822</pub-id>
</citation>
</ref>
<ref id="B23">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Mueller</surname>
<given-names>A. H.</given-names>
</name>
<name>
<surname>Szymanowski</surname>
<given-names>L.</given-names>
</name>
<name>
<surname>Wallon</surname>
<given-names>S.</given-names>
</name>
<name>
<surname>Gao</surname>
<given-names>B. W.</given-names>
</name>
<name>
<surname>Yuan</surname>
<given-names>F.</given-names>
</name>
</person-group> (<year>2016</year>). <article-title>Sudakov resummations in mueller-navelet dijet production</article-title>. <source>J. High. Energy Phys.</source> <volume>2016</volume>, <fpage>96</fpage>&#x2013;<lpage>24</lpage>. <pub-id pub-id-type="doi">10.1007/JHEP03(2016)096</pub-id>
</citation>
</ref>
<ref id="B24">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Peng</surname>
<given-names>J.</given-names>
</name>
<name>
<surname>Hu</surname>
<given-names>X. X.</given-names>
</name>
<name>
<surname>Zhao</surname>
<given-names>M. Y.</given-names>
</name>
<name>
<surname>Liu</surname>
<given-names>Y.</given-names>
</name>
<name>
<surname>Tian</surname>
<given-names>L.</given-names>
</name>
</person-group> (<year>2017</year>). <article-title>Research progress on ecosystem service trade-offs: from cognition to decision-making</article-title>. <source>Acta Geogr. Sin.</source> <volume>72</volume>, <fpage>960</fpage>&#x2013;<lpage>973</lpage>. <pub-id pub-id-type="doi">10.11821/dlxb201706002</pub-id>
</citation>
</ref>
<ref id="B25">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Pereira</surname>
<given-names>H. M.</given-names>
</name>
<name>
<surname>Martins</surname>
<given-names>I. S.</given-names>
</name>
<name>
<surname>Rosa</surname>
<given-names>I. M.</given-names>
</name>
<name>
<surname>Kim</surname>
<given-names>H.</given-names>
</name>
<name>
<surname>Leadley</surname>
<given-names>P.</given-names>
</name>
<name>
<surname>Popp</surname>
<given-names>A.</given-names>
</name>
<etal/>
</person-group> (<year>2024</year>). <article-title>Global trends and scenarios for terrestrial biodiversity and ecosystem services from 1900 to 2050</article-title>. <source>Science</source> <volume>384</volume>, <fpage>458</fpage>&#x2013;<lpage>465</lpage>. <pub-id pub-id-type="doi">10.1126/science.adn3441</pub-id>
</citation>
</ref>
<ref id="B26">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Pergams</surname>
<given-names>O. R.</given-names>
</name>
<name>
<surname>Zaradic</surname>
<given-names>P. A.</given-names>
</name>
</person-group> (<year>2008</year>). <article-title>Evidence for a fundamental and pervasive shift away from nature-based recreation</article-title>. <source>Proc. Natl. Acad. Sci. U. S. A.</source> <volume>105</volume>, <fpage>2295</fpage>&#x2013;<lpage>2300</lpage>. <pub-id pub-id-type="doi">10.1073/pnas.0709893105</pub-id>
</citation>
</ref>
<ref id="B27">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Ramyar</surname>
<given-names>R.</given-names>
</name>
<name>
<surname>Saeedi</surname>
<given-names>S.</given-names>
</name>
<name>
<surname>Bryant</surname>
<given-names>M.</given-names>
</name>
<name>
<surname>Davatgar</surname>
<given-names>A.</given-names>
</name>
<name>
<surname>Hedjri</surname>
<given-names>G. M.</given-names>
</name>
</person-group> (<year>2020</year>). <article-title>Ecosystem services mapping for green infrastructure planning&#x2013;the case of Tehran</article-title>. <source>Sci. Total Environ.</source> <volume>703</volume>, <fpage>135466</fpage>. <pub-id pub-id-type="doi">10.1016/j.scitotenv.2019.135466</pub-id>
</citation>
</ref>
<ref id="B28">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Raudsepp-Hearne</surname>
<given-names>C.</given-names>
</name>
<name>
<surname>Peterson</surname>
<given-names>G. D.</given-names>
</name>
</person-group> (<year>2016</year>). <article-title>Scale and ecosystem services: how do observation, management, and analysis shift with scale-lessons from Qu&#xe9;bec</article-title>. <source>Ecol. Soc.</source> <volume>21</volume>, <fpage>art16</fpage>. <pub-id pub-id-type="doi">10.5751/es-08605-210316</pub-id>
</citation>
</ref>
<ref id="B29">
<citation citation-type="book">
<person-group person-group-type="author">
<name>
<surname>Reid</surname>
<given-names>W. V.</given-names>
</name>
<name>
<surname>Mooney</surname>
<given-names>H. A.</given-names>
</name>
<name>
<surname>Cropper</surname>
<given-names>A.</given-names>
</name>
<name>
<surname>Capistrano</surname>
<given-names>D.</given-names>
</name>
<name>
<surname>Carpenter</surname>
<given-names>S. R.</given-names>
</name>
<name>
<surname>Chopra</surname>
<given-names>K.</given-names>
</name>
</person-group> (<year>2005</year>). <source>Ecosystems and human well-being-Synthesis: a report of the millennium ecosystem assessment</source>. <publisher-name>Island Press</publisher-name>. <comment>Available online at: <ext-link ext-link-type="uri" xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="https://research.wur.nl/en/publications/ecosystems-and-human-well-being-synthesis-a-report-of-the-millenn">https://research.wur.nl/en/publications/ecosystems-and-human-well-being-synthesis-a-report-of-the-millenn</ext-link>
</comment>
</citation>
</ref>
<ref id="B30">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Schirpke</surname>
<given-names>U.</given-names>
</name>
<name>
<surname>Candiago</surname>
<given-names>S.</given-names>
</name>
<name>
<surname>Vigl</surname>
<given-names>L. E.</given-names>
</name>
<name>
<surname>J&#xe4;ger</surname>
<given-names>H.</given-names>
</name>
<name>
<surname>Labadini</surname>
<given-names>A.</given-names>
</name>
<name>
<surname>Marsoner</surname>
<given-names>T.</given-names>
</name>
<etal/>
</person-group> (<year>2019</year>). <article-title>Integrating supply, flow and demand to enhance the understanding of interactions among multiple ecosystem services</article-title>. <source>Sci. Total Environ.</source> <volume>651</volume>, <fpage>928</fpage>&#x2013;<lpage>941</lpage>. <pub-id pub-id-type="doi">10.1016/j.scitotenv.2018.09.235</pub-id>
</citation>
</ref>
<ref id="B31">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Shen</surname>
<given-names>J.</given-names>
</name>
<name>
<surname>Tang</surname>
<given-names>P.</given-names>
</name>
<name>
<surname>Zeng</surname>
<given-names>H.</given-names>
</name>
</person-group> (<year>2020</year>). <article-title>Does China&#x27;s carbon emission trading reduce carbon emissions? Evidence from listed firms</article-title>. <source>Energy sustain. Dev.</source> <volume>59</volume>, <fpage>120</fpage>&#x2013;<lpage>129</lpage>. <pub-id pub-id-type="doi">10.1016/j.esd.2020.09.007</pub-id>
</citation>
</ref>
<ref id="B32">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Shifaw</surname>
<given-names>E.</given-names>
</name>
<name>
<surname>Sha</surname>
<given-names>J.</given-names>
</name>
<name>
<surname>Li</surname>
<given-names>X.</given-names>
</name>
<name>
<surname>Bao</surname>
<given-names>Z.</given-names>
</name>
<name>
<surname>Ji</surname>
<given-names>J.</given-names>
</name>
<name>
<surname>Ji</surname>
<given-names>Z.</given-names>
</name>
<etal/>
</person-group> (<year>2024</year>). <article-title>Ecosystem services dynamics and their influencing factors: synergies/tradeoffs interactions and implications, the case of upper Blue Nile basin, Ethiopia</article-title>. <source>Sci. Total Environ.</source> <volume>938</volume>. <pub-id pub-id-type="doi">10.1016/j.scitotenv.2024.173524</pub-id>
</citation>
</ref>
<ref id="B33">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Tallis</surname>
<given-names>H.</given-names>
</name>
<name>
<surname>Kareiva</surname>
<given-names>P.</given-names>
</name>
<name>
<surname>Marvier</surname>
<given-names>M.</given-names>
</name>
<name>
<surname>Chang</surname>
<given-names>A.</given-names>
</name>
</person-group> (<year>2008</year>). <article-title>An ecosystem services framework to support both practical conservation and economic development</article-title>. <source>Proc. Natl. Acad. Sci. U. S. A.</source> <volume>105</volume>, <fpage>9457</fpage>&#x2013;<lpage>9464</lpage>. <pub-id pub-id-type="doi">10.1073/pnas.0705797105</pub-id>
</citation>
</ref>
<ref id="B34">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Tan</surname>
<given-names>F.</given-names>
</name>
<name>
<surname>Lu</surname>
<given-names>Z.</given-names>
</name>
<name>
<surname>Zeng</surname>
<given-names>F.</given-names>
</name>
</person-group> (<year>2024</year>). <article-title>Study on the trade-off/synergy spatiotemporal benefits of ecosystem services and its influencing factors in hilly areas of southern China</article-title>. <source>Front. Ecol. Evol.</source> <volume>11</volume>, <fpage>1342766</fpage>. <pub-id pub-id-type="doi">10.3389/fevo.2023.1342766</pub-id>
</citation>
</ref>
<ref id="B35">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Tomscha</surname>
<given-names>S. A.</given-names>
</name>
<name>
<surname>Gergel</surname>
<given-names>S. E.</given-names>
</name>
</person-group> (<year>2016</year>). <article-title>Ecosystem service trade-offs and synergies misunderstood without landscape history</article-title>. <source>Ecol. Soc.</source> <volume>21</volume>, <fpage>art43</fpage>. <pub-id pub-id-type="doi">10.5751/ES-08345-210143</pub-id>
</citation>
</ref>
<ref id="B36">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Tomscha</surname>
<given-names>S. A.</given-names>
</name>
<name>
<surname>Sutherland</surname>
<given-names>I. J.</given-names>
</name>
<name>
<surname>Renard</surname>
<given-names>D.</given-names>
</name>
<name>
<surname>Gergel</surname>
<given-names>S. E.</given-names>
</name>
<name>
<surname>Rhemtulla</surname>
<given-names>J. M.</given-names>
</name>
<name>
<surname>Bennett</surname>
<given-names>E. M.</given-names>
</name>
<etal/>
</person-group> (<year>2016</year>). <article-title>A guide to historical data sets for reconstructing ecosystem service change over time</article-title>. <source>BioScience</source> <volume>66</volume>, <fpage>747</fpage>&#x2013;<lpage>762</lpage>. <pub-id pub-id-type="doi">10.1093/biosci/biw086</pub-id>
</citation>
</ref>
<ref id="B37">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Wang</surname>
<given-names>C.</given-names>
</name>
<name>
<surname>Ma</surname>
<given-names>L.</given-names>
</name>
<name>
<surname>Zhang</surname>
<given-names>Y.</given-names>
</name>
<name>
<surname>Chen</surname>
<given-names>N.</given-names>
</name>
<name>
<surname>Wang</surname>
<given-names>W.</given-names>
</name>
</person-group> (<year>2022</year>). <article-title>Spatiotemporal dynamics of wetlands and their driving factors based on PLS-SEM: a case study in wuhan</article-title>. <source>Sci. Total Environ.</source> <volume>806</volume>, <fpage>151310</fpage>. <pub-id pub-id-type="doi">10.1016/j.scitotenv.2021.151310</pub-id>
</citation>
</ref>
<ref id="B38">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Wang</surname>
<given-names>J.</given-names>
</name>
<name>
<surname>Wu</surname>
<given-names>W.</given-names>
</name>
<name>
<surname>Yang</surname>
<given-names>M.</given-names>
</name>
<name>
<surname>Gao</surname>
<given-names>Y.</given-names>
</name>
<name>
<surname>Shao</surname>
<given-names>J.</given-names>
</name>
<name>
<surname>Yang</surname>
<given-names>W.</given-names>
</name>
<etal/>
</person-group> (<year>2024</year>). <article-title>Exploring the complex trade-offs and synergies of global ecosystem services</article-title>. <source>Environ. Sci. Ecotech.</source> <volume>21</volume>, <fpage>100391</fpage>. <pub-id pub-id-type="doi">10.1016/j.ese.2024.100391</pub-id>
</citation>
</ref>
<ref id="B39">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Wang</surname>
<given-names>Y.</given-names>
</name>
<name>
<surname>Dai</surname>
<given-names>E.</given-names>
</name>
</person-group> (<year>2020</year>). <article-title>Spatial-temporal changes in ecosystem services and the trade-off relationship in Mountain regions: a case study of hengduan Mountain region in southwest China</article-title>. <source>J. Clean. Prod.</source> <volume>264</volume>, <fpage>121573</fpage>. <pub-id pub-id-type="doi">10.1016/j.jclepro.2020.121573</pub-id>
</citation>
</ref>
<ref id="B40">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Wang</surname>
<given-names>Z.</given-names>
</name>
<name>
<surname>Jiang</surname>
<given-names>Q.</given-names>
</name>
<name>
<surname>Jiao</surname>
<given-names>Y.</given-names>
</name>
</person-group> (<year>2019</year>). <article-title>Traditional ecological wisdom in modern society: perspectives from terraced fields in honghe and chongqing, southwest China</article-title>. <source>Ecol. Wis. Theory Pract.</source>, <fpage>125</fpage>&#x2013;<lpage>148</lpage>. <pub-id pub-id-type="doi">10.1007/978-981-13-0571-9_8</pub-id>
</citation>
</ref>
<ref id="B41">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Xu</surname>
<given-names>S.</given-names>
</name>
<name>
<surname>Liu</surname>
<given-names>Y.</given-names>
</name>
<name>
<surname>Wang</surname>
<given-names>X.</given-names>
</name>
<name>
<surname>Zhang</surname>
<given-names>G.</given-names>
</name>
</person-group> (<year>2017</year>). <article-title>Scale effect on spatial patterns of ecosystem services and associations among them in semi-arid area: a case study in Ningxia hui autonomous region, China</article-title>. <source>China. <italic>Sci. Total Environ</italic>.</source> <volume>598</volume>, <fpage>297</fpage>&#x2013;<lpage>306</lpage>. <pub-id pub-id-type="doi">10.1016/j.scitotenv.2017.04.009</pub-id>
</citation>
</ref>
<ref id="B42">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Yahdjian</surname>
<given-names>L.</given-names>
</name>
<name>
<surname>Sala</surname>
<given-names>O. E.</given-names>
</name>
<name>
<surname>Havstad</surname>
<given-names>K. M.</given-names>
</name>
</person-group> (<year>2015</year>). <article-title>Rangeland ecosystem services: shifting focus from supply to reconciling supply and demand</article-title>. <source>Front. Ecol. Environ.</source> <volume>13</volume>, <fpage>44</fpage>&#x2013;<lpage>51</lpage>. <pub-id pub-id-type="doi">10.1890/140156</pub-id>
</citation>
</ref>
<ref id="B43">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Yang</surname>
<given-names>Y.</given-names>
</name>
<name>
<surname>Yuan</surname>
<given-names>X.</given-names>
</name>
<name>
<surname>An</surname>
<given-names>J.</given-names>
</name>
<name>
<surname>Su</surname>
<given-names>Q.</given-names>
</name>
<name>
<surname>Chen</surname>
<given-names>B.</given-names>
</name>
</person-group> (<year>2024</year>). <article-title>Drivers of ecosystem services and their trade-offs and synergies in different land use policy zones of Shaanxi Province, China</article-title>. <source>J. Clean. Prod.</source> <volume>452</volume>, <fpage>142077</fpage>. <pub-id pub-id-type="doi">10.1016/j.jclepro.2024.142077</pub-id>
</citation>
</ref>
<ref id="B44">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Zhang</surname>
<given-names>L.</given-names>
</name>
<name>
<surname>Guo</surname>
<given-names>X.</given-names>
</name>
<name>
<surname>Li</surname>
<given-names>J.</given-names>
</name>
<name>
<surname>Chen</surname>
<given-names>Q.</given-names>
</name>
<name>
<surname>Wei</surname>
<given-names>Y.</given-names>
</name>
<name>
<surname>Zhao</surname>
<given-names>X.</given-names>
</name>
</person-group> (<year>2020</year>). <article-title>Urbanization and its impact on ecosystem services: a review</article-title>. <source>Sustainability</source> <volume>12</volume>, <fpage>4725</fpage>. <pub-id pub-id-type="doi">10.3390/s12114725</pub-id>
</citation>
</ref>
<ref id="B45">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Zhao</surname>
<given-names>R.</given-names>
</name>
<name>
<surname>Zhan</surname>
<given-names>L.</given-names>
</name>
<name>
<surname>Yao</surname>
<given-names>M.</given-names>
</name>
<name>
<surname>Yang</surname>
<given-names>L.</given-names>
</name>
</person-group> (<year>2020</year>). <article-title>A geographically weighted regression model augmented by geodetector analysis and principal component analysis for the spatial distribution of PM2.5</article-title>. <source>Sustain. Cities Soc.</source> <volume>56</volume>, <fpage>102106</fpage>. <pub-id pub-id-type="doi">10.1016/j.scs.2020.102106</pub-id>
</citation>
</ref>
<ref id="B46">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Zhou</surname>
<given-names>M.</given-names>
</name>
<name>
<surname>Ma</surname>
<given-names>Y.</given-names>
</name>
<name>
<surname>Wu</surname>
<given-names>T.</given-names>
</name>
<name>
<surname>Zhang</surname>
<given-names>S.</given-names>
</name>
<name>
<surname>Chen</surname>
<given-names>W.</given-names>
</name>
</person-group> (<year>2022</year>). <article-title>Modeling the impacts of land use changes on ecosystem services in a rapidly urbanizing</article-title>.</citation>
</ref>
</ref-list>
</back>
</article>