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<front>
<journal-meta>
<journal-id journal-id-type="publisher-id">Front. Environ. Sci.</journal-id>
<journal-title-group>
<journal-title>Frontiers in Environmental Science</journal-title>
<abbrev-journal-title abbrev-type="pubmed">Front. Environ. Sci.</abbrev-journal-title>
</journal-title-group>
<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">1667693</article-id>
<article-id pub-id-type="doi">10.3389/fenvs.2025.1667693</article-id>
<article-version article-version-type="Version of Record" vocab="NISO-RP-8-2008"/>
<article-categories>
<subj-group subj-group-type="heading">
<subject>Original Research</subject>
</subj-group>
</article-categories>
<title-group>
<article-title>Spatiotemporal dynamics and sustainable pathways of water ecological footprint in northeast Sichuan, China</article-title>
<alt-title alt-title-type="left-running-head">Pan 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.2025.1667693">10.3389/fenvs.2025.1667693</ext-link>
</alt-title>
</title-group>
<contrib-group>
<contrib contrib-type="author" corresp="yes">
<name>
<surname>Pan</surname>
<given-names>An</given-names>
</name>
<xref ref-type="aff" rid="aff1"/>
<xref ref-type="corresp" rid="c001">&#x2a;</xref>
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</contrib>
<contrib contrib-type="author">
<name>
<surname>Cao</surname>
<given-names>Longyu</given-names>
</name>
<xref ref-type="aff" rid="aff1"/>
<role vocab="credit" vocab-identifier="https://credit.niso.org/" vocab-term="Writing &#x2013; original draft" vocab-term-identifier="https://credit.niso.org/contributor-roles/writing-original-draft/">Writing &#x2013; original draft</role>
</contrib>
<contrib contrib-type="author">
<name>
<surname>Shu</surname>
<given-names>Chengqiang</given-names>
</name>
<xref ref-type="aff" rid="aff1"/>
<role vocab="credit" vocab-identifier="https://credit.niso.org/" vocab-term="Writing &#x2013; review &amp; editing" vocab-term-identifier="https://credit.niso.org/contributor-roles/writing-review-editing/">Writing &#x2013; review &amp; editing</role>
</contrib>
<contrib contrib-type="author">
<name>
<surname>Yang</surname>
<given-names>Ying</given-names>
</name>
<xref ref-type="aff" rid="aff1"/>
<role vocab="credit" vocab-identifier="https://credit.niso.org/" vocab-term="Writing &#x2013; original draft" vocab-term-identifier="https://credit.niso.org/contributor-roles/writing-original-draft/">Writing &#x2013; original draft</role>
</contrib>
<contrib contrib-type="author">
<name>
<surname>Zhou</surname>
<given-names>Heng</given-names>
</name>
<xref ref-type="aff" rid="aff1"/>
<uri xlink:href="https://loop.frontiersin.org/people/3137485"/>
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</contrib>
<contrib contrib-type="author">
<name>
<surname>Cong</surname>
<given-names>Rui</given-names>
</name>
<xref ref-type="aff" rid="aff1"/>
<role vocab="credit" vocab-identifier="https://credit.niso.org/" vocab-term="Writing &#x2013; original draft" vocab-term-identifier="https://credit.niso.org/contributor-roles/writing-original-draft/">Writing &#x2013; original draft</role>
</contrib>
</contrib-group>
<aff id="aff1">
<institution>School of Geographical Sciences, China West Normal University</institution>, <city>Nanchong</city>, <state>Sichuan</state>, <country country="CN">China</country>
</aff>
<author-notes>
<corresp id="c001">
<label>&#x2a;</label>Correspondence: An Pan, <email xlink:href="panan@cwnu.edu.cn">panan@cwnu.edu.cn</email>
</corresp>
</author-notes>
<pub-date publication-format="electronic" date-type="pub" iso-8601-date="2026-01-30">
<day>30</day>
<month>01</month>
<year>2026</year>
</pub-date>
<pub-date publication-format="electronic" date-type="collection">
<year>2025</year>
</pub-date>
<volume>13</volume>
<elocation-id>1667693</elocation-id>
<history>
<date date-type="received">
<day>21</day>
<month>07</month>
<year>2025</year>
</date>
<date date-type="rev-recd">
<day>01</day>
<month>10</month>
<year>2025</year>
</date>
<date date-type="accepted">
<day>13</day>
<month>10</month>
<year>2025</year>
</date>
</history>
<permissions>
<copyright-statement>Copyright &#xa9; 2026 Pan, Cao, Shu, Yang, Zhou and Cong.</copyright-statement>
<copyright-year>2026</copyright-year>
<copyright-holder>Pan, Cao, Shu, Yang, Zhou and Cong</copyright-holder>
<license>
<ali:license_ref start_date="2026-01-30">https://creativecommons.org/licenses/by/4.0/</ali:license_ref>
<license-p>This is an open-access article distributed under the terms of the <ext-link ext-link-type="uri" xlink:href="https://creativecommons.org/licenses/by/4.0/">Creative Commons Attribution License (CC BY)</ext-link>. The use, distribution or reproduction in other forums is permitted, provided the original author(s) and the copyright owner(s) are credited and that the original publication in this journal is cited, in accordance with accepted academic practice. No use, distribution or reproduction is permitted which does not comply with these terms.</license-p>
</license>
</permissions>
<abstract>
<p>Given the characteristics of water resources in Northeast Sichuan, a systematic evaluation system for water resources utilization was developed based on the water resources ecological footprint model and calculation methods. This system was applied to analyze the ecological footprint of water resources and the sustainable development capacity of Northeast Sichuan from 2013 to 2022. The results showed the following: (1) The ecological footprint of water resources in Northeast Sichuan increased by a total of 1.35 &#xd7; 10<sup>6</sup>&#xa0;ha(hectare) from 2013 to 2022, with the largest <italic>per capita</italic> ecological footprint of water resources in each city being Guangyuan and the smallest being Bazhong. (2) The ecological carrying capacity of water resources in the region varies greatly from year to year, mainly affected by the total amount of water resources and the amount of precipitation in that year, with large spatial differences between districts and counties, and a general downward trend. (3) The ecological footprint of water quality shows a trend of first increasing and then continuously decreasing, indicating that the treatment rate of wastewater is continuously improving. The value of water resources&#x2019; ecological footprint of 10,000 yuan GDP (Gross Domestic Product) in each district and county basically stays around 0.10&#xa0;ha, and the utilization efficiency of water resources is improving. (4) Water resource utilization and economic growth in Northeast Sichuan are in a weakly decoupled state, and economic growth is still dependent on water resource consumption, and benign development is not stable enough. In the future, attention will be paid to the ecological protection of water resources to avoid possible ecological risks and water scarcity. This will ensure the sustainable development of water resources.</p>
</abstract>
<kwd-group>
<kwd>northeast sichuan</kwd>
<kwd>ecological footprint of water resources</kwd>
<kwd>sustainable use</kwd>
<kwd>ecological carrying capacity</kwd>
<kwd>time and space changes</kwd>
</kwd-group>
<funding-group>
<funding-statement>The author(s) declare that financial support was received for the research and/or publication of this article. This project was supported by Study on the Coordinated Development of Population-Economy-Space in Northeastern Sichuan Cities, China (473527), Study on the Ecological Vulnerability Characteristics and Management of the Dry and Hot River Valley in Southwestern Sichuan, China (412886), Study on the Ecologically Sensitive Areas of the Jialing River Basin, China (463083).</funding-statement>
</funding-group>
<counts>
<fig-count count="8"/>
<table-count count="4"/>
<equation-count count="11"/>
<ref-count count="44"/>
<page-count count="15"/>
</counts>
<custom-meta-group>
<custom-meta>
<meta-name>section-at-acceptance</meta-name>
<meta-value>Water and Wastewater Management</meta-value>
</custom-meta>
</custom-meta-group>
</article-meta>
</front>
<body>
<sec sec-type="intro" id="s1">
<label>1</label>
<title>Introduction</title>
<p>The uneven distribution of water resources, as a key resource of the earth, has led to shortages and deterioration of water quality in some regions, while other regions have experienced wastage and pollution due to mismanagement (<xref ref-type="bibr" rid="B28">Wang et al., 2019</xref>). Global industrialization and urbanization have exacerbated the impacts of climate change in the form of melting glaciers, fluctuating river runoff, and increased water pollution, putting systemic pressure on all parts of the water cycle, from water sources (<xref ref-type="bibr" rid="B2">Cheng et al., 2021</xref>). The current core challenges of water resources management include pollution, groundwater overdraft, and inefficient utilization (<xref ref-type="bibr" rid="B11">Jing et al., 2024</xref>), which not only threaten human health and socio-economic development but also pose significant risks to ecosystem sustainability (<xref ref-type="bibr" rid="B42">Zheng et al., 2022</xref>). In order to realize the coordination of the &#x201c;social-economic-ecological&#x201d; system, it is urgent to promote the sustainable use of water resources through innovative concepts, which has become a major issue of international consensus (<xref ref-type="bibr" rid="B5">Feng, 2018</xref>).</p>
<p>The Ecological Footprint (EF), a pivotal metric for quantifying anthropogenic impacts on Earth&#x2019;s ecosystems, was initially proposed by William Rees and subsequently refined by his student <xref ref-type="bibr" rid="B26">Wackernagel and Rees (1997)</xref> (<xref ref-type="bibr" rid="B23">Rees, 1996</xref>; <xref ref-type="bibr" rid="B22">Rees, 1992</xref>). This concept was introduced to China by <xref ref-type="bibr" rid="B31">Xu and Chen (2001)</xref> (<xref ref-type="bibr" rid="B32">Xu et al., 2002</xref>) and progressively applied to sustainability research domains such as water resources (<xref ref-type="bibr" rid="B33">Xu et al., 2003</xref>). Domestic scholars have substantially advanced its applications, manifested through: (1) Deepening of research contents&#x2013;<xref ref-type="bibr" rid="B3">Duan et al. (2012)</xref> incorporated freshwater and pollution accounts into the original model, aiming to address its limitations in water resource assessment and environmental carrying capacity quantification; <xref ref-type="bibr" rid="B12">Li et al. (2015)</xref> conducted empirical analysis of China&#x2019;s water resource ecological footprint and carrying capacity in 2012. (2) Innovation in methodologies&#x2013;<xref ref-type="bibr" rid="B18">Ouyang et al. (2023)</xref> integrated grey water footprint to quantify water required for pollution assimilation, coupled with system dynamics simulation for sustainable water utilization regulation; <xref ref-type="bibr" rid="B30">Xiong et al. (2022)</xref> developed an enhanced three-dimensional EF model resolving fossil energy carrying capacity deficits while optimizing land-use equivalence factors. This methodological framework originated from <xref ref-type="bibr" rid="B17">Niccolucci et al. (2011)</xref>, who first defined the stock-flow relationship in ecological capital accounting. From regional scales to provincial, municipal, and county scales, many scholars have analyzed the development and utilization of water resources in regions such as Beijing (<xref ref-type="bibr" rid="B36">Yue et al., 2021</xref>; <xref ref-type="bibr" rid="B21">Qin et al., 2023</xref>; <xref ref-type="bibr" rid="B1">Bin et al., 2023</xref>), Tianjin (<xref ref-type="bibr" rid="B37">Yue et al., 2022</xref>; <xref ref-type="bibr" rid="B15">Liu and Song, 2021</xref>), Shaanxi (<xref ref-type="bibr" rid="B40">Zhang et al., 2021</xref>), and Sichuan (<xref ref-type="bibr" rid="B41">Zhao et al., 2020</xref>; <xref ref-type="bibr" rid="B13">Li et al., 2023</xref>), and put forward targeted suggestions.</p>
<p>One of the most complex aspects of water resource accounting is assessing point source and non-point source pollution caused by various human activities. Scholars at home and abroad have mainly followed the water footprint theoretical framework proposed by <xref ref-type="bibr" rid="B8">Hoekstra (2017)</xref>. In their research on water quality ecological footprint, and gradually incorporated the accounting of pollutant assimilation capacity. In recent years, researchers have taken the Grey Water Footprint as a core indicator, whose development serves as one of the methods for quantifying water pollution. By quantifying the degree of water resource occupation during the pollutant assimilation process, the Grey Water Footprint provides an important methodological tool for evaluating the impact of human activities on the water environment (<xref ref-type="bibr" rid="B4">Ene and Teodosiu, 2011</xref>).</p>
<p>Northeast Sichuan, as a comprehensive transportation hub for eastward and northward Sichuan, is a key area to support national strategies such as the Western Development and the Yangtze River Economic Belt. The site is located in the ecological barrier zone of the upper reaches of the Yangtze River in China, with well-developed water systems but uneven spatial and temporal distribution of water resources. Accompanied by rapid urbanization, water demand for industry and agriculture continues to grow, while high water-consuming industrial agglomeration and agricultural water inefficiency lead to increased resource wastage, posing a serious challenge to integrated water resources management (<xref ref-type="bibr" rid="B27">Wang, 2024</xref>). Given this, it is crucial for this study to quantitatively analyze the spatial and temporal evolution patterns and influence mechanisms of the water resources ecological footprint in Northeast Sichuan from 2013 to 2022 based on the water resources ecological footprint theory, using the water resources ecological footprint, ecological carrying capacity, water quality ecological footprint, and the Tapio decoupling model.</p>
</sec>
<sec sec-type="materials|methods" id="s2">
<label>2</label>
<title>Materials and methods</title>
<sec id="s2-1">
<label>2.1</label>
<title>Overview of the study area</title>
<p>Northeast Sichuan includes five prefecture-level cities, Nanchong, Guang&#x2019;an, Dazhou, Bazhong, and Guangyuan, with a total land area of 64,004.4&#xa0;km<sup>2</sup> (accounting for 0.66% of China&#x2019;s total area) as of 2021, and a total resident population of 19.071 million (with an urbanization rate of 48.85%) at the end of 2022. <xref ref-type="fig" rid="F1">Figure 1</xref> shows an overview map of the geographic location of the study area. The region is bounded by the parallel ridge and valley of east Sichuan in the east, with high terrain in the north and low terrain in the south, with large topographic ups and downs, and it is the southern edge of China&#x2019;s north-south transition zone and the key zone for the extension of the mountainous areas of the Sichuan Basin circumference to the center of the basin. The climate type of this area belongs to the su btropical humid monsoon climate, rain and heat at the same time, the southern low mountainous area is cold in winter and hot in summer, the northern middle mountainous area is cold in winter and cool in summer, precipitation is mainly concentrated from June to September, with large seasonal and interannual variations, the Qiujiang River and the Jialing River flow through the area, the amount of water is plentiful, the environment is superior, but there is an imbalance of water resources in the distribution of space and time (<xref ref-type="bibr" rid="B19">Pan et al., 2020</xref>).</p>
<fig id="F1" position="float">
<label>FIGURE 1</label>
<caption>
<p>Overview of the study area. Note: This map is based on the standard map downloaded from the Standard Map Service Website of the Ministry of Natural Resources of the People&#x2019;s Republic of China, with map review number GS (2019)1822. The base map boundaries have not been modified in any way, and subsequent maps follow the same principle.</p>
</caption>
<graphic xlink:href="fenvs-13-1667693-g001.tif">
<alt-text content-type="machine-generated">Three maps highlight Sichuan Province in China. The top-left map shows China with Sichuan in purple, indicating national and nine-dash lines. The bottom-left map details Sichuan Province, marking the northeastern area and administrative centers. The right map displays Sichuan&#x27;s elevation and administrative divisions, showing rivers, county lines, and provincial boundaries, with elevation ranging from 163 to 3,802 meters. Legends and scale bars are included.</alt-text>
</graphic>
</fig>
<p>As shown in <xref ref-type="fig" rid="F2">Figure 2</xref>, the interannual variation trends of total water resources, surface water resources and precipitation in Northeast Sichuan are consistent, while the groundwater resources remain stable with a small variation range. Affected by the significant monsoon climate, the region&#x2019;s water resources are mainly replenished by atmospheric precipitation, which is concentrated in June-September. From 2013 to 2022, the annual average precipitation in the region was 76.229 billion m<sup>3</sup>, and the annual average total water resources was 35.225 billion m<sup>3</sup>. The maximum values of both precipitation and total water resources occurred in 2021, and the minimum values in 2016, indicating that the total water resources are significantly affected by precipitation. Specifically, 2019 and 2021 were wet years; 2013, 2017, 2018 and 2020 were normal flow years; and 2015, 2016 and 2022 were dry years.</p>
<fig id="F2" position="float">
<label>FIGURE 2</label>
<caption>
<p>Trend of water resources in Northeast of Sichuan Province from 2013 to 2022.</p>
</caption>
<graphic xlink:href="fenvs-13-1667693-g002.tif">
<alt-text content-type="machine-generated">Line graph depicting annual precipitation, total water resources, surface water, and groundwater from 2013 to 2022. Annual precipitation fluctuates between 625 and 1125 million cubic meters, peaking in 2021. Total and surface water generally rise from 2013 to 2022, with notable spikes in 2021. Groundwater remains relatively stable near 125 million cubic meters.</alt-text>
</graphic>
</fig>
<p>By the end of 2022, the total precipitation in Northeast Sichuan was 65.973 billion m<sup>3</sup>, the surface water resources were 21.528 billion m<sup>3</sup> (accounting for 9.75% of Sichuan Province&#x2019;s total surface water resources), and the groundwater resources were 4.012 billion m<sup>3</sup> (accounting for 7.33% of Sichuan Province&#x2019;s total groundwater resources). Affected by the severe drought in Sichuan Province in 2022 (the average precipitation in the province was 842.7&#xa0;mm, the fourth lowest rainfall year since 1956, a decrease of 12.4% compared with the multi-year average), the total precipitation in the region in 2022 decreased by 41.418 billion m<sup>3</sup> compared with 2021 (a year-on-year decrease of 38.6% and a decrease of 13.5% compared with the multi-year average), and the total water resources decreased by 40.178 billion m<sup>3</sup> compared with 2021 (a year-on-year decrease of 61.1% and a decrease of 27.5% compared with the multi-year average). Only Bazhong City saw a slight increase in precipitation by 1.4%, while the other four cities experienced varying degrees of decrease.</p>
</sec>
<sec id="s2-2">
<label>2.2</label>
<title>Data sources</title>
<p>The datasets employed in this study encompass three categories: water resources, socio-economic indices, and geospatial information. Water resources data comprise annual precipitation, total water resources, surface water, groundwater, and sectoral water consumption (agricultural, industrial, domestic, ecological), alongside wastewater discharge, ammonia nitrogen emissions, and chemical oxygen demand. These data are sourced from the Water Resources Bulletin of Sichuan Province, Ecological Environment Status Bulletin of Sichuan Province, and the Statistical Yearbooks of Sichuan Province and its prefecture-level cities for the period 2013&#x2013;2022. Socio-economic data (including gross regional product, permanent resident population, population density, and urbanization rate) are sourced from the Statistical Yearbooks at both provincial and municipal levels for the period 2013&#x2013;2022. Geospatial datasets (administrative boundaries, administrative centers, digital elevation models, river networks) were obtained from the Resource and Environment Science and Data Center (RESDC) of the Chinese Academy of Sciences and the Geospatial Data Cloud platform.</p>
</sec>
<sec id="s2-3">
<label>2.3</label>
<title>Research method</title>
<sec id="s2-3-1">
<label>2.3.1</label>
<title>Water ecological footprint model</title>
<p>The ecological footprint of water resources is used to measure the <italic>per capita</italic> water consumption in a region and convert it into the corresponding land area (<xref ref-type="bibr" rid="B24">Sun et al., 2024</xref>), by converting the water resources consumed by various types of production, living and ecological activities in the region into the corresponding ecological area, to show the consumption of water resources in a quantitative form (<xref ref-type="bibr" rid="B7">Guan, 2017</xref>). The formula for its calculation is as follows:<disp-formula id="e1">
<mml:math id="m1">
<mml:mrow>
<mml:mi>E</mml:mi>
<mml:msub>
<mml:mi>F</mml:mi>
<mml:mi>W</mml:mi>
</mml:msub>
<mml:mo>&#x3d;</mml:mo>
<mml:mi>N</mml:mi>
<mml:mo>&#xd7;</mml:mo>
<mml:msub>
<mml:mtext>ef</mml:mtext>
<mml:mi mathvariant="normal">w</mml:mi>
</mml:msub>
<mml:mo>&#x3d;</mml:mo>
<mml:mi>N</mml:mi>
<mml:mo>&#xd7;</mml:mo>
<mml:msub>
<mml:mi>&#x3b3;</mml:mi>
<mml:mi>w</mml:mi>
</mml:msub>
<mml:mo>&#xd7;</mml:mo>
<mml:mrow>
<mml:mfenced open="(" close=")" separators="|">
<mml:mrow>
<mml:mi>W</mml:mi>
<mml:mo>/</mml:mo>
<mml:msub>
<mml:mi>P</mml:mi>
<mml:mi>W</mml:mi>
</mml:msub>
</mml:mrow>
</mml:mfenced>
</mml:mrow>
</mml:mrow>
</mml:math>
<label>(1)</label>
</disp-formula>
</p>
<p>Where <inline-formula id="inf1">
<mml:math id="m2">
<mml:mrow>
<mml:mi>E</mml:mi>
<mml:msub>
<mml:mi>F</mml:mi>
<mml:mi>W</mml:mi>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> is the total ecological footprint of water resources (ha); <inline-formula id="inf2">
<mml:math id="m3">
<mml:mrow>
<mml:msub>
<mml:mtext>ef</mml:mtext>
<mml:mi mathvariant="normal">w</mml:mi>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> is the ecological footprint of water resources <italic>per capita</italic> (ha/person); <italic>N</italic> represents the number of resident population at the end of the year (persons); <inline-formula id="inf3">
<mml:math id="m4">
<mml:mrow>
<mml:msub>
<mml:mi>&#x3b3;</mml:mi>
<mml:mi>w</mml:mi>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> is the global equilibrium factor of water resources; <italic>W</italic> represents the total consumption of water resources (cubic meters); and <inline-formula id="inf4">
<mml:math id="m5">
<mml:mrow>
<mml:msub>
<mml:mi>P</mml:mi>
<mml:mi>W</mml:mi>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> is the global average production capacity of water resources (m<sup>3</sup>/ha).</p>
</sec>
<sec id="s2-3-2">
<label>2.3.2</label>
<title>Water ecological carrying capacity model</title>
<p>The concept of ecological carrying capacity of water resources refers to the upper limit of water resources in a region to meet the water demand for domestic, productive, and ecological use (<xref ref-type="bibr" rid="B34">Xu et al., 2013</xref>). It measures the maximum capacity of a natural system to provide resources and services within a sustainable range (<xref ref-type="bibr" rid="B38">Zhang et al., 2012</xref>). The formula is as follows:<disp-formula id="e2">
<mml:math id="m6">
<mml:mrow>
<mml:mi>E</mml:mi>
<mml:msub>
<mml:mi>C</mml:mi>
<mml:mi>W</mml:mi>
</mml:msub>
<mml:mo>&#x3d;</mml:mo>
<mml:mi>N</mml:mi>
<mml:mo>&#xd7;</mml:mo>
<mml:msub>
<mml:mtext>ec</mml:mtext>
<mml:mi mathvariant="normal">w</mml:mi>
</mml:msub>
<mml:mo>&#x3d;</mml:mo>
<mml:mn>0.4</mml:mn>
<mml:mo>&#xd7;</mml:mo>
<mml:mi>&#x3c8;</mml:mi>
<mml:mo>&#xd7;</mml:mo>
<mml:msub>
<mml:mi>&#x3b3;</mml:mi>
<mml:mi>w</mml:mi>
</mml:msub>
<mml:mo>&#xd7;</mml:mo>
<mml:mi>Q</mml:mi>
<mml:mo>/</mml:mo>
<mml:msub>
<mml:mi>P</mml:mi>
<mml:mi>W</mml:mi>
</mml:msub>
</mml:mrow>
</mml:math>
<label>(2)</label>
</disp-formula>
</p>
<p>Where, <inline-formula id="inf5">
<mml:math id="m7">
<mml:mrow>
<mml:mi>E</mml:mi>
<mml:msub>
<mml:mi>C</mml:mi>
<mml:mi>W</mml:mi>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> is the ecological carrying capacity of water resources (ha); <inline-formula id="inf6">
<mml:math id="m8">
<mml:mrow>
<mml:msub>
<mml:mtext>ec</mml:mtext>
<mml:mi mathvariant="normal">w</mml:mi>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> is the ecological carrying capacity of water resources <italic>per capita</italic> (ha/person); <inline-formula id="inf7">
<mml:math id="m9">
<mml:mrow>
<mml:mi>&#x3c8;</mml:mi>
</mml:mrow>
</mml:math>
</inline-formula> represents the regional water resources production factor; and <italic>Q</italic> represents the total amount of water resources (cubic meters). A region consumes 60% of its water resources to maintain regional biodiversity and ecosystems themselves, so the ecological carrying capacity of water resources needs to be multiplied by.</p>
</sec>
<sec id="s2-3-3">
<label>2.3.3</label>
<title>Water quality ecological footprint model</title>
<p>The ecological footprint of water quality is the area of water resource land required to absorb water pollutants discharged during urban production and living processes (<xref ref-type="bibr" rid="B39">Zhang et al., 2013</xref>). Chemical oxygen demand (COD) and ammonia nitrogen (NH<sub>3</sub>) emissions are key indicators characterizing the emission patterns of organic pollutants and nitrogen pollution in industrial wastewater: COD reflects the total amount of reducing organic matter, and ammonia nitrogen directly indicates the degradation degree of nitrogen-containing pollutants. According to China&#x2019;s &#x201c;Action Plan for Water Pollution Prevention and Control&#x201d;, COD and NH<sub>3</sub> are binding indicators for total pollutant control, which are of direct significance for practical supervision. Among the monitoring data of the study area, the continuity and integrity of these two parameters are also better than those of other indicators (e.g., total phosphorus, heavy metals). In addition, many core papers have selected COD and NH<sub>3</sub> emissions to analyze the dynamic changes of water quality ecological footprint. Therefore, these two indicators were prioritized in this study (<xref ref-type="bibr" rid="B9">Huang et al., 2008</xref>). Their calculation formulas are as follows:<disp-formula id="e3">
<mml:math id="m10">
<mml:mrow>
<mml:mi>E</mml:mi>
<mml:msub>
<mml:mi>F</mml:mi>
<mml:mi mathvariant="normal">q</mml:mi>
</mml:msub>
<mml:mo>&#x3d;</mml:mo>
<mml:mi>E</mml:mi>
<mml:msub>
<mml:mi>F</mml:mi>
<mml:mrow>
<mml:mi>C</mml:mi>
<mml:mi>O</mml:mi>
<mml:mi>D</mml:mi>
</mml:mrow>
</mml:msub>
<mml:mo>&#x2b;</mml:mo>
<mml:mi>E</mml:mi>
<mml:msub>
<mml:mi>F</mml:mi>
<mml:mrow>
<mml:mi>N</mml:mi>
<mml:msub>
<mml:mi>H</mml:mi>
<mml:mn>3</mml:mn>
</mml:msub>
</mml:mrow>
</mml:msub>
<mml:mo>&#x3d;</mml:mo>
<mml:mi>&#x3b3;</mml:mi>
<mml:mmultiscripts>
<mml:mo>&#xd7;</mml:mo>
<mml:mprescripts/>
<mml:mi>W</mml:mi>
<mml:none/>
</mml:mmultiscripts>
<mml:mrow>
<mml:mfenced open="[" close="]" separators="|">
<mml:mrow>
<mml:mrow>
<mml:mfenced open="(" close=")" separators="|">
<mml:mrow>
<mml:msub>
<mml:mi>U</mml:mi>
<mml:mrow>
<mml:mi>C</mml:mi>
<mml:mi>O</mml:mi>
<mml:mi>D</mml:mi>
</mml:mrow>
</mml:msub>
<mml:mo>/</mml:mo>
<mml:msub>
<mml:mi>P</mml:mi>
<mml:mrow>
<mml:mi>C</mml:mi>
<mml:mi>O</mml:mi>
<mml:mi>D</mml:mi>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:mfenced>
</mml:mrow>
<mml:mo>&#x2b;</mml:mo>
<mml:mrow>
<mml:mfenced open="(" close=")" separators="|">
<mml:mrow>
<mml:msub>
<mml:mi>U</mml:mi>
<mml:mrow>
<mml:mi>N</mml:mi>
<mml:msub>
<mml:mi>H</mml:mi>
<mml:mn>3</mml:mn>
</mml:msub>
</mml:mrow>
</mml:msub>
<mml:mo>/</mml:mo>
<mml:msub>
<mml:mi>P</mml:mi>
<mml:mrow>
<mml:mi>N</mml:mi>
<mml:msub>
<mml:mi>H</mml:mi>
<mml:mn>3</mml:mn>
</mml:msub>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:mfenced>
</mml:mrow>
</mml:mrow>
</mml:mfenced>
</mml:mrow>
</mml:mrow>
</mml:math>
<label>(3)</label>
</disp-formula>
</p>
<p>Where <inline-formula id="inf8">
<mml:math id="m11">
<mml:mrow>
<mml:mi>E</mml:mi>
<mml:msub>
<mml:mi>F</mml:mi>
<mml:mi mathvariant="normal">q</mml:mi>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> is the ecological footprint of water quality (ha); <inline-formula id="inf9">
<mml:math id="m12">
<mml:mrow>
<mml:mi>E</mml:mi>
<mml:msub>
<mml:mi>F</mml:mi>
<mml:mrow>
<mml:mi>C</mml:mi>
<mml:mi>O</mml:mi>
<mml:mi>D</mml:mi>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula>, <inline-formula id="inf10">
<mml:math id="m13">
<mml:mrow>
<mml:mi>E</mml:mi>
<mml:msub>
<mml:mi>F</mml:mi>
<mml:mrow>
<mml:mi>N</mml:mi>
<mml:msub>
<mml:mi>H</mml:mi>
<mml:mn>3</mml:mn>
</mml:msub>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> respectively, is the ecological footprint of water quality of COD, NH<sub>3</sub> (ha); <inline-formula id="inf11">
<mml:math id="m14">
<mml:mrow>
<mml:msub>
<mml:mi>U</mml:mi>
<mml:mrow>
<mml:mi>C</mml:mi>
<mml:mi>O</mml:mi>
<mml:mi>D</mml:mi>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula>, <inline-formula id="inf12">
<mml:math id="m15">
<mml:mrow>
<mml:msub>
<mml:mi>U</mml:mi>
<mml:mrow>
<mml:mi>N</mml:mi>
<mml:msub>
<mml:mi>H</mml:mi>
<mml:mn>3</mml:mn>
</mml:msub>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula>, respectively, represents the emissions of COD, NH<sub>3</sub> (cubic meters); <inline-formula id="inf13">
<mml:math id="m16">
<mml:mrow>
<mml:msub>
<mml:mi>P</mml:mi>
<mml:mrow>
<mml:mi>C</mml:mi>
<mml:mi>O</mml:mi>
<mml:mi>D</mml:mi>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula>, <inline-formula id="inf14">
<mml:math id="m17">
<mml:mrow>
<mml:msub>
<mml:mi>P</mml:mi>
<mml:mrow>
<mml:mi>N</mml:mi>
<mml:msub>
<mml:mi>H</mml:mi>
<mml:mn>3</mml:mn>
</mml:msub>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula>, respectively, represents the purification capacity of COD, NH<sub>3</sub> per unit area of water (m<sup>3</sup>/ha).</p>
</sec>
<sec id="s2-3-4">
<label>2.3.4</label>
<title>The efficiency of water resource ecological footprint</title>
<p>The water resources ecological footprint of 10,000 Yuan GDP, which is calculated as a standardized ratio of water resources ecological footprint to regional gross domestic product (GDP), constructs a quantitative relationship between economic output and water resources consumption, and can assess the efficiency of regional water resources use. The calculation formula is as follows:<disp-formula id="e4">
<mml:math id="m18">
<mml:mrow>
<mml:mi>E</mml:mi>
<mml:mi>F</mml:mi>
<mml:mi>w</mml:mi>
<mml:mi>p</mml:mi>
<mml:mi>e</mml:mi>
<mml:mi>r</mml:mi>
<mml:mn>10</mml:mn>
<mml:mo>,</mml:mo>
<mml:mn>000</mml:mn>
<mml:mi>Y</mml:mi>
<mml:mi>u</mml:mi>
<mml:mi>a</mml:mi>
<mml:mi>n</mml:mi>
<mml:mi>G</mml:mi>
<mml:mi>D</mml:mi>
<mml:mi>P</mml:mi>
<mml:mo>&#x3d;</mml:mo>
<mml:mi>E</mml:mi>
<mml:msub>
<mml:mi>F</mml:mi>
<mml:mi>W</mml:mi>
</mml:msub>
<mml:mo>/</mml:mo>
<mml:mi>G</mml:mi>
<mml:mi>D</mml:mi>
<mml:mi>P</mml:mi>
</mml:mrow>
</mml:math>
<label>(4)</label>
</disp-formula>
</p>
</sec>
<sec id="s2-3-5">
<label>2.3.5</label>
<title>Tapio decoupling model</title>
<p>Decoupling models are often used to explore the interrelationships between economic growth and the resource environment and their changes. In this study, the Tapio decoupling model is introduced to calculate the decoupling elasticity of water resource use and economic growth in Northeast Sichuan, and the decoupling status of Northeast Sichuan is evaluated and analyzed. The calculation model is as follows:<disp-formula id="e5">
<mml:math id="m19">
<mml:mrow>
<mml:mi>T</mml:mi>
<mml:mo>&#x3d;</mml:mo>
<mml:mo>&#x394;</mml:mo>
<mml:mi>E</mml:mi>
<mml:msub>
<mml:mi>F</mml:mi>
<mml:mi>W</mml:mi>
</mml:msub>
<mml:mo>/</mml:mo>
<mml:mo>&#x394;</mml:mo>
<mml:mi>G</mml:mi>
<mml:mi>D</mml:mi>
<mml:mi>P</mml:mi>
<mml:mo>&#x3d;</mml:mo>
<mml:mrow>
<mml:mrow>
<mml:mfenced open="[" close="]" separators="|">
<mml:mrow>
<mml:mrow>
<mml:mfenced open="(" close=")" separators="|">
<mml:mrow>
<mml:mi>E</mml:mi>
<mml:msub>
<mml:mi>F</mml:mi>
<mml:msub>
<mml:mi>W</mml:mi>
<mml:mi mathvariant="normal">t</mml:mi>
</mml:msub>
</mml:msub>
<mml:mo>&#x2212;</mml:mo>
<mml:mi>E</mml:mi>
<mml:msub>
<mml:mi>F</mml:mi>
<mml:msub>
<mml:mi>W</mml:mi>
<mml:mrow>
<mml:mi mathvariant="normal">t</mml:mi>
<mml:mo>&#x2212;</mml:mo>
<mml:mn>1</mml:mn>
</mml:mrow>
</mml:msub>
</mml:msub>
</mml:mrow>
</mml:mfenced>
</mml:mrow>
<mml:mo>/</mml:mo>
<mml:mi>E</mml:mi>
<mml:msub>
<mml:mi>F</mml:mi>
<mml:msub>
<mml:mi>W</mml:mi>
<mml:mrow>
<mml:mi mathvariant="normal">t</mml:mi>
<mml:mo>&#x2212;</mml:mo>
<mml:mn>1</mml:mn>
</mml:mrow>
</mml:msub>
</mml:msub>
</mml:mrow>
</mml:mfenced>
</mml:mrow>
<mml:mo>/</mml:mo>
<mml:mrow>
<mml:mfenced open="[" close="]" separators="|">
<mml:mrow>
<mml:mrow>
<mml:mfenced open="(" close=")" separators="|">
<mml:mrow>
<mml:mi>G</mml:mi>
<mml:mi>D</mml:mi>
<mml:msub>
<mml:mi>P</mml:mi>
<mml:mi mathvariant="normal">t</mml:mi>
</mml:msub>
<mml:mo>&#x2212;</mml:mo>
<mml:mi>G</mml:mi>
<mml:mi>D</mml:mi>
<mml:msub>
<mml:mi>P</mml:mi>
<mml:mrow>
<mml:mi mathvariant="normal">t</mml:mi>
<mml:mo>&#x2212;</mml:mo>
<mml:mn>1</mml:mn>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:mfenced>
</mml:mrow>
<mml:mo>/</mml:mo>
<mml:mi>G</mml:mi>
<mml:mi>D</mml:mi>
<mml:msub>
<mml:mi>P</mml:mi>
<mml:mrow>
<mml:mi mathvariant="normal">t</mml:mi>
<mml:mo>&#x2212;</mml:mo>
<mml:mn>1</mml:mn>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:mfenced>
</mml:mrow>
</mml:mrow>
</mml:mrow>
</mml:math>
<label>(5)</label>
</disp-formula>
</p>
<p>Where <inline-formula id="inf15">
<mml:math id="m20">
<mml:mrow>
<mml:mo>&#x394;</mml:mo>
<mml:mi>E</mml:mi>
<mml:msub>
<mml:mi>F</mml:mi>
<mml:mi>W</mml:mi>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula>, <inline-formula id="inf16">
<mml:math id="m21">
<mml:mrow>
<mml:mo>&#x394;</mml:mo>
<mml:mi>G</mml:mi>
<mml:mi>D</mml:mi>
<mml:mi>P</mml:mi>
</mml:mrow>
</mml:math>
</inline-formula> denotes the growth rate of water resources ecological footprint, economic growth rate, respectively; <inline-formula id="inf17">
<mml:math id="m22">
<mml:mrow>
<mml:mi>T</mml:mi>
</mml:mrow>
</mml:math>
</inline-formula> denotes the decoupling index. In this paper, based on the research of Jia Li (<xref ref-type="bibr" rid="B10">Jia et al., 2018</xref>), Pan Yuanquan (<xref ref-type="bibr" rid="B19">Pan et al., 2020</xref>), and others, the evaluation standard of decoupling status is determined. When <inline-formula id="inf18">
<mml:math id="m23">
<mml:mrow>
<mml:mo>&#x394;</mml:mo>
<mml:mi>E</mml:mi>
<mml:msub>
<mml:mi>F</mml:mi>
<mml:mi>W</mml:mi>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> is lower than <inline-formula id="inf19">
<mml:math id="m24">
<mml:mrow>
<mml:mo>&#x394;</mml:mo>
<mml:mi>G</mml:mi>
<mml:mi>D</mml:mi>
<mml:mi>P</mml:mi>
</mml:mrow>
</mml:math>
</inline-formula>, the two are decoupled and the development is more coordinated; on the contrary, when <inline-formula id="inf20">
<mml:math id="m25">
<mml:mrow>
<mml:mo>&#x394;</mml:mo>
<mml:mi>E</mml:mi>
<mml:msub>
<mml:mi>F</mml:mi>
<mml:mi>W</mml:mi>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> is higher than <inline-formula id="inf21">
<mml:math id="m26">
<mml:mrow>
<mml:mo>&#x394;</mml:mo>
<mml:mi>G</mml:mi>
<mml:mi>D</mml:mi>
<mml:mi>P</mml:mi>
</mml:mrow>
</mml:math>
</inline-formula>, it indicates that the two are not decoupled, and the economic growth is still dependent on the consumption of water resources, and the benign development is not stable enough (<xref ref-type="bibr" rid="B16">Liu et al., 2025</xref>).</p>
<p>The index factor decomposition method is used to assess the degree of influence of each factor by decomposing the indicators of the influencing factors into simple indicators that are easy to study (<xref ref-type="bibr" rid="B43">Zhu et al., 2022</xref>). Currently, Laspeyres and Divisia are commonly used exponential decomposition methods, but they suffer from the problem of residual terms and &#x201c;0&#x201d; values. To address these issues, the LMDI (Logarithmic Mean Divisia Index) model was chosen in this study to analyze the drivers of water resources ecological footprint changes in Northeast Sichuan, as follows (<xref ref-type="bibr" rid="B44">Zuo et al., 2020</xref>):<disp-formula id="e6">
<mml:math id="m27">
<mml:mrow>
<mml:msub>
<mml:mtext>ef</mml:mtext>
<mml:mi mathvariant="normal">t</mml:mi>
</mml:msub>
<mml:mo>&#x3d;</mml:mo>
<mml:munderover>
<mml:mo>&#x2211;</mml:mo>
<mml:mrow>
<mml:mi mathvariant="normal">i</mml:mi>
<mml:mo>&#x3d;</mml:mo>
<mml:mn>1</mml:mn>
</mml:mrow>
<mml:mn>3</mml:mn>
</mml:munderover>
<mml:mrow>
<mml:mfenced open="[" close="]" separators="|">
<mml:mrow>
<mml:mrow>
<mml:mfenced open="(" close=")" separators="|">
<mml:mrow>
<mml:msub>
<mml:mtext>ef</mml:mtext>
<mml:mtext>it</mml:mtext>
</mml:msub>
<mml:mo>/</mml:mo>
<mml:msub>
<mml:mtext>ef</mml:mtext>
<mml:mi mathvariant="normal">t</mml:mi>
</mml:msub>
</mml:mrow>
</mml:mfenced>
</mml:mrow>
<mml:mo>&#xb7;</mml:mo>
<mml:mrow>
<mml:mfenced open="(" close=")" separators="|">
<mml:mrow>
<mml:msub>
<mml:mtext>ef</mml:mtext>
<mml:mi mathvariant="normal">t</mml:mi>
</mml:msub>
<mml:mo>/</mml:mo>
<mml:msub>
<mml:mi mathvariant="normal">r</mml:mi>
<mml:mi mathvariant="normal">t</mml:mi>
</mml:msub>
</mml:mrow>
</mml:mfenced>
</mml:mrow>
<mml:mo>&#xb7;</mml:mo>
<mml:mrow>
<mml:mfenced open="(" close=")" separators="|">
<mml:mrow>
<mml:msub>
<mml:mi mathvariant="normal">r</mml:mi>
<mml:mi mathvariant="normal">t</mml:mi>
</mml:msub>
<mml:mo>/</mml:mo>
<mml:msub>
<mml:mi mathvariant="normal">p</mml:mi>
<mml:mi mathvariant="normal">t</mml:mi>
</mml:msub>
</mml:mrow>
</mml:mfenced>
</mml:mrow>
<mml:mo>&#xb7;</mml:mo>
<mml:msub>
<mml:mi mathvariant="normal">p</mml:mi>
<mml:mi mathvariant="normal">t</mml:mi>
</mml:msub>
</mml:mrow>
</mml:mfenced>
</mml:mrow>
</mml:mrow>
</mml:math>
<label>(6)</label>
</disp-formula>
<disp-formula id="e7">
<mml:math id="m28">
<mml:mrow>
<mml:mo>&#x394;</mml:mo>
<mml:msub>
<mml:mtext>ef</mml:mtext>
<mml:mi>t</mml:mi>
</mml:msub>
<mml:mo>&#x3d;</mml:mo>
<mml:mi>e</mml:mi>
<mml:msub>
<mml:mi>f</mml:mi>
<mml:mi>t</mml:mi>
</mml:msub>
<mml:mo>&#x2212;</mml:mo>
<mml:mi>e</mml:mi>
<mml:msub>
<mml:mi>f</mml:mi>
<mml:mn>0</mml:mn>
</mml:msub>
<mml:mo>&#x3d;</mml:mo>
<mml:mo>&#x394;</mml:mo>
<mml:mi>e</mml:mi>
<mml:msub>
<mml:mi>f</mml:mi>
<mml:mi>s</mml:mi>
</mml:msub>
<mml:mo>&#x2b;</mml:mo>
<mml:mo>&#x394;</mml:mo>
<mml:mi>e</mml:mi>
<mml:msub>
<mml:mi>f</mml:mi>
<mml:mi>i</mml:mi>
</mml:msub>
<mml:mo>&#x2b;</mml:mo>
<mml:mo>&#x394;</mml:mo>
<mml:mi>e</mml:mi>
<mml:msub>
<mml:mi>f</mml:mi>
<mml:mi>r</mml:mi>
</mml:msub>
<mml:mo>&#x2b;</mml:mo>
<mml:mo>&#x394;</mml:mo>
<mml:mi>e</mml:mi>
<mml:msub>
<mml:mi>f</mml:mi>
<mml:mi>p</mml:mi>
</mml:msub>
</mml:mrow>
</mml:math>
<label>(7)</label>
</disp-formula>
</p>
<p>Where <inline-formula id="inf22">
<mml:math id="m29">
<mml:mrow>
<mml:mi>e</mml:mi>
<mml:msub>
<mml:mi>f</mml:mi>
<mml:mi>t</mml:mi>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> is the ecological footprint of water resources <italic>per capita</italic> in year&#xa0;<italic>t</italic> for category <italic>i</italic> (ha/person); <inline-formula id="inf23">
<mml:math id="m30">
<mml:mrow>
<mml:mi>e</mml:mi>
<mml:msub>
<mml:mi>f</mml:mi>
<mml:mn>0</mml:mn>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> is the ecological footprint of water resources <italic>per capita</italic> in year&#xa0;<italic>t</italic> (ha/person); <inline-formula id="inf24">
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</mml:math>
</inline-formula> are the regional <italic>GDP</italic> (in millions of yuan) and the number of resident population (in ten thousand) in year&#xa0;<italic>t</italic>, respectively; <inline-formula id="inf26">
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</inline-formula> is the ecological footprint of water resources <italic>per capita</italic> (ha/person) in 2013; <inline-formula id="inf27">
<mml:math id="m34">
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</inline-formula>, <inline-formula id="inf28">
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</mml:math>
</inline-formula> represent structural effects, technological effects, economic effects, and demographic effects; <inline-formula id="inf31">
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</mml:mrow>
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</inline-formula> denote the amount of change in the ecological footprint of water resources <italic>per capita</italic> (ha/person) caused by each factor, respectively.<disp-formula id="e8">
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<label>(8)</label>
</disp-formula>
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<label>(9)</label>
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<label>(10)</label>
</disp-formula>
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<mml:munderover>
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</mml:math>
<label>(11)</label>
</disp-formula>
</p>
<p>Where <inline-formula id="inf35">
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<mml:msub>
<mml:mi mathvariant="normal">y</mml:mi>
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</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula>; <inline-formula id="inf37">
<mml:math id="m48">
<mml:mrow>
<mml:msub>
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</inline-formula>, <inline-formula id="inf38">
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<mml:mrow>
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</mml:mrow>
</mml:math>
</inline-formula> is the share of the ecological footprint of water resource category <italic>i</italic> to the total ecological footprint of water resource in year, <italic>t</italic> representing the structural effect; <inline-formula id="inf39">
<mml:math id="m50">
<mml:mrow>
<mml:msub>
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<mml:mi>t</mml:mi>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> is the ecological footprint of water resources per unit of <italic>GDP</italic> in year, <italic>t</italic> representing the technology effect; <inline-formula id="inf40">
<mml:math id="m51">
<mml:mrow>
<mml:msub>
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<mml:mi>t</mml:mi>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> is <italic>GDP per capita</italic> in year, <italic>t</italic> representing the economic effect; <inline-formula id="inf41">
<mml:math id="m52">
<mml:mrow>
<mml:msub>
<mml:mi>p</mml:mi>
<mml:mi>t</mml:mi>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> is the number of permanent residents in year, <italic>t</italic> representing the demographic effect.</p>
</sec>
</sec>
</sec>
<sec id="s3">
<label>3</label>
<title>Results and analysis</title>
<sec id="s3-1">
<label>3.1</label>
<title>Temporal variation analysis of water ecological footprint</title>
<sec id="s3-1-1">
<label>3.1.1</label>
<title>Change characteristics of water ecological footprint</title>
<p>Calculated using the water resources ecological footprint model, the results are shown in <xref ref-type="table" rid="T1">Table 1</xref>. The total water resources ecological footprint of Northeast Sichuan&#x2019;s current situation shows a trend of growth, but the growth rate is small, and the overall tendency is benign. The fluctuation of the total ecological footprint of water resources from 2013 to 2022 remained between 6.256 &#xd7; 10<sup>6</sup>&#xa0;ha and 7.652 &#xd7; 10<sup>6</sup>&#xa0;ha, with the maximum value occurring in 2018 and the minimum value in 2013. The average ecological footprint of water resources was calculated to be 7.304 &#xd7; 10<sup>6</sup>&#xa0;ha over the 10&#xa0;years, with 80% of the years (2015&#x2013;2022) being above this baseline level, while only 20% of the years (2013&#x2013;2014) were below the average. The ecological footprint of water resources of each water account remained relatively stable during the study period, but still showed some degree of fluctuation.</p>
<table-wrap id="T1" position="float">
<label>TABLE 1</label>
<caption>
<p>Northeast of Sichuan province water resources ecological footprint summary.</p>
</caption>
<table>
<thead valign="top">
<tr>
<th align="center">Year</th>
<th align="center">Agricultural water use (10<sup>6</sup>&#xa0;ha)</th>
<th align="center">Industrial water use(10<sup>6</sup>&#xa0;ha)</th>
<th align="center">Domestic water use (10<sup>6</sup>&#xa0;ha)</th>
<th align="center">Ecological water use (10<sup>6</sup>&#xa0;ha)</th>
<th align="center">Total water ecological footprin (10<sup>6</sup>&#xa0;ha)</th>
<th align="center">Per capita water ecological footprint (ha)</th>
</tr>
</thead>
<tbody valign="top">
<tr>
<td align="center">2013</td>
<td align="center">3.465</td>
<td align="center">1.533</td>
<td align="center">1.115</td>
<td align="center">0.143</td>
<td align="center">6.256</td>
<td align="center">0.307</td>
</tr>
<tr>
<td align="center">2014</td>
<td align="center">3.787</td>
<td align="center">1.241</td>
<td align="center">1.483</td>
<td align="center">0.170</td>
<td align="center">6.681</td>
<td align="center">0.330</td>
</tr>
<tr>
<td align="center">2015</td>
<td align="center">4.149</td>
<td align="center">1.433</td>
<td align="center">1.669</td>
<td align="center">0.084</td>
<td align="center">7.335</td>
<td align="center">0.364</td>
</tr>
<tr>
<td align="center">2016</td>
<td align="center">4.350</td>
<td align="center">1.409</td>
<td align="center">1.705</td>
<td align="center">0.145</td>
<td align="center">7.609</td>
<td align="center">0.381</td>
</tr>
<tr>
<td align="center">2017</td>
<td align="center">4.337</td>
<td align="center">1.219</td>
<td align="center">1.783</td>
<td align="center">0.147</td>
<td align="center">7.486</td>
<td align="center">0.377</td>
</tr>
<tr>
<td align="center">2018</td>
<td align="center">4.259</td>
<td align="center">1.207</td>
<td align="center">1.972</td>
<td align="center">0.214</td>
<td align="center">7.652</td>
<td align="center">0.389</td>
</tr>
<tr>
<td align="center">2019</td>
<td align="center">4.278</td>
<td align="center">1.106</td>
<td align="center">1.921</td>
<td align="center">0.206</td>
<td align="center">7.511</td>
<td align="center">0.386</td>
</tr>
<tr>
<td align="center">2020</td>
<td align="center">4.611</td>
<td align="center">0.778</td>
<td align="center">1.808</td>
<td align="center">0.192</td>
<td align="center">7.389</td>
<td align="center">0.383</td>
</tr>
<tr>
<td align="center">2021</td>
<td align="center">4.628</td>
<td align="center">0.826</td>
<td align="center">1.882</td>
<td align="center">0.205</td>
<td align="center">7.541</td>
<td align="center">0.394</td>
</tr>
<tr>
<td align="center">2022</td>
<td align="center">4.767</td>
<td align="center">0.742</td>
<td align="center">1.871</td>
<td align="center">0.229</td>
<td align="center">7.609</td>
<td align="center">0.399</td>
</tr>
<tr>
<td align="center">Average</td>
<td align="center">4.263</td>
<td align="center">1.149</td>
<td align="center">1.721</td>
<td align="center">0.168</td>
<td align="center">7.304</td>
<td align="center">0.373</td>
</tr>
</tbody>
</table>
</table-wrap>
<p>During 2013&#x2013;2022, the four water resource ecological footprint (WEF) accounts in Northeast Sichuan exhibited significant proportional disparities. Agricultural WEF dominated the accounts, with a multi-year mean of 4.27 &#xd7; 10<sup>6</sup>&#xa0;ha, demonstrating a persistent upward trend that peaked at 4.77 &#xd7; 10<sup>6</sup>&#xa0;ha in 2022. This predominance stems from regional agricultural expansion driven by the topographic advantages of deep hills-low mountains in the Sichuan Basin and the Jialing River system, sustaining elevated water demand. Industrial WEF averaged 1.15 &#xd7; 10<sup>6</sup>&#xa0;ha, showing a gradual decline throughout the period and reaching its minimum (0.74 &#xd7; 10<sup>6</sup>&#xa0;ha) in 2022&#x2014;a trend directly attributable to the area&#x2019;s underdeveloped industrial infrastructure and lagging growth. Domestic WEF remained stable at 1.72 &#xd7; 10<sup>6</sup>&#xa0;ha annually with modest growth, reflecting routine urban and rural water needs. Ecological WEF constituted the smallest proportion (multi-year mean: 0.17 &#xd7; 10<sup>6</sup>&#xa0;ha), its growth effectively constrained through water-saving technology promotion, public awareness enhancement, and optimized allocation measures, maintaining consistently low levels.</p>
</sec>
<sec id="s3-1-2">
<label>3.1.2</label>
<title>Variation signatures of water ecological carrying capacity</title>
<p>The ecological carrying capacity of water resources in northeastern Sichuan was calculated using by <xref ref-type="disp-formula" rid="e1">Equation 2</xref>. Water resource ecological carrying capacity (WRECC) in Northeast Sichuan declined from 2.10 &#xd7; 10<sup>7</sup> to 1.69 &#xd7; 10<sup>7</sup>&#xa0;ha during 2013&#x2013;2022, representing a modest 19.52% reduction (<xref ref-type="table" rid="T2">Table 2</xref>). Despite this gradual decrease, the decadal mean remained substantial at 2.31 &#xd7; 10<sup>7</sup>&#xa0;ha. Notable interannual fluctuations included: a minimum of 1.40 &#xd7; 10<sup>7</sup>&#xa0;ha (2016) and maximum of 4.34 &#xd7; 10<sup>7</sup>&#xa0;ha (2021), with the most extreme interannual changes being &#x2b;82.35% (2020&#x2013;2021) and &#x2212;61.06% (2021&#x2013;2022). The <italic>per capita</italic> ecological carrying capacity of water resources corresponds to specific years, with the highest value of 2.27&#xa0;ha <italic>per capita</italic> in 2021 and the lowest of 0.70&#xa0;ha <italic>per capita</italic> in 2016. The factors influencing the changes in <italic>per capita</italic> ecological carrying capacity of water resources are mainly the total water resources and total precipitation of the corresponding year. According to the data from the Sichuan Provincial Water Resources Bulletin, the total water resources in 2021 reached 65.718 billion cubic meters, and the total precipitation was 107.391 billion cubic meters&#x2014;both of which were the highest during the study period, and the ecological carrying capacity of water resources also reached the highest level in the historical years. Therefore, the change in <italic>per capita</italic> ecological carrying capacity of water resources is closely related to hydrometeorological conditions: years with high carrying capacity are wet years, characterized by sufficient regional water resource recharge; while years with low carrying capacity are mainly characterized by persistent low precipitation and prolonged drought, belonging to dry years. Sustained drought conditions will exacerbate the contradiction between water supply and demand, ultimately leading to a decline in the <italic>per capita</italic> ecological carrying capacity of water resources.</p>
<table-wrap id="T2" position="float">
<label>TABLE 2</label>
<caption>
<p>Northeast of Sichuan province, total ecological carrying capacity of water resources.</p>
</caption>
<table>
<thead valign="top">
<tr>
<th align="center">year</th>
<th align="center">Ecological carrying capacity of water resources (10<sup>7</sup>&#xa0;ha)</th>
<th align="center">Ecological carrying capacity of water resources <italic>per capita</italic> (ha/capita)</th>
</tr>
</thead>
<tbody valign="top">
<tr>
<td align="center">2013</td>
<td align="center">2.102</td>
<td align="center">1.032</td>
</tr>
<tr>
<td align="center">2014</td>
<td align="center">2.291</td>
<td align="center">1.132</td>
</tr>
<tr>
<td align="center">2015</td>
<td align="center">1.745</td>
<td align="center">0.867</td>
</tr>
<tr>
<td align="center">2016</td>
<td align="center">1.398</td>
<td align="center">0.700</td>
</tr>
<tr>
<td align="center">2017</td>
<td align="center">2.412</td>
<td align="center">1.215</td>
</tr>
<tr>
<td align="center">2018</td>
<td align="center">1.917</td>
<td align="center">0.975</td>
</tr>
<tr>
<td align="center">2019</td>
<td align="center">2.804</td>
<td align="center">1.440</td>
</tr>
<tr>
<td align="center">2020</td>
<td align="center">2.376</td>
<td align="center">1.233</td>
</tr>
<tr>
<td align="center">2021</td>
<td align="center">4.340</td>
<td align="center">2.267</td>
</tr>
<tr>
<td align="center">2022</td>
<td align="center">1.687</td>
<td align="center">0.884</td>
</tr>
<tr>
<td align="center">Average</td>
<td align="center">2.307</td>
<td align="center">1.174</td>
</tr>
</tbody>
</table>
</table-wrap>
</sec>
<sec id="s3-1-3">
<label>3.1.3</label>
<title>Temporal dynamics of water quality ecological footprint</title>
<p>According to China&#x2019;s Action Plan for Water Pollution Prevention and Control, chemical oxygen demand (COD) and ammonia nitrogen (NH<sub>3</sub>) are binding indicators for the total amount control of pollutants, and they have direct significance for practical supervision. Among the monitoring data of the study area, the continuity and integrity of these two parameters are also better than those of other indicators (such as total phosphorus and heavy metals); therefore, they are prioritized for selection. The water quality ecological footprint data calculated by <xref ref-type="disp-formula" rid="e3">Formula 3</xref> are illustrated in <xref ref-type="fig" rid="F3">Figures 3A,B</xref>, from 2016 to 2022, COD emissions in Northeast Sichuan exhibited a general downward trend, with NH<sub>3</sub> emissions also demonstrating a decline. The stabilization of COD and NH<sub>3</sub> emissions indicates that Northeast Sichuan is taking measures to address the issue of water environmental pollution. Furthermore, there has been an observed increase in sewage discharge, with a rise from 52,200 tons to 62,900 tons, indicating a growth rate of 20.40%. This represents an average annual growth rate of approximately 3.41%.</p>
<fig id="F3" position="float">
<label>FIGURE 3</label>
<caption>
<p>Emissions of major indicators of water pollution and Water quality ecological footprint changes in the Northeast of Sichuan Province. <bold>(A)</bold> Water quality ecological footprint from 2016 to 2022. <bold>(B)</bold> Emissions of major indicators of water pollution from 2016 to 2022.</p>
</caption>
<graphic xlink:href="fenvs-13-1667693-g003.tif">
<alt-text content-type="machine-generated">Line charts showing trends from 2016 to 2022. Chart A depicts a decrease in water quality ecological footprint, measured in ten thousand cubic meters. Chart B shows emissions of COD, wastewater, and NH&#x2083;. COD emissions peak in 2017, then decline. Wastewater emissions are stable, while NH&#x2083; emissions slightly decrease.</alt-text>
</graphic>
</fig>
<p>This underscores the necessity for enhanced oversight and strict regulation of high water consumption, substantial emissions resulting from enterprise production and business activities, and sustained endeavors to enhance water environment management. These measures are imperative to ensure fundamental improvement in the quality of the regional water environment and to achieve harmonization between economic development and environmental protection.</p>
<p>The water quality ecological footprint of Northeast Sichuan can be calculated from 2016 to 2022. This calculation is based on COD and NH<sub>3</sub> emissions and the water quality ecological footprint model. As demonstrated in <xref ref-type="fig" rid="F3">Figures 3A,B</xref>, the water quality ecological footprint of Northeast Sichuan exhibited an initial increase, followed by a subsequent decline during the period from 2016 to 2022. The water quality ecological footprint exhibited an increasing trend during the period from 2016 to 2017, with a rise from 0.390 &#xd7; 10<sup>8</sup>&#xa0;ha in 2016 to 0.418 &#xd7; 10<sup>8</sup>&#xa0;ha in 2017, representing a 7.18% increase. This period also marked the attainment of the maximum value for the regional water quality ecological footprint. However, from 2018 to 2022, the water quality ecological footprint demonstrated a persistent downward trend, declining from 0.317 &#xd7; 10<sup>8</sup>&#xa0;ha in 2018 to 0.168 &#xd7; 10<sup>8</sup>&#xa0;ha in 2022, marking a substantial 47% decrease. A comprehensive analysis reveals that the water quality ecological footprint of Northeast Sichuan has undergone a substantial decline, with a 56.92% decrease observed in 2022 compared to the 2016 baseline. On September 22, 2017, the Sichuan Province promulgated the Regulations on Environmental Protection of Sichuan Province, which took effect on January 1, 2018. Consequently, Northeast Sichuan has exhibited a favorable response to the policy call by implementing stringent environmental protection policies, augmenting environmental protection enforcement, fortifying the treatment of water pollution, safeguarding the regional water environment, sustaining the fundamental functions of the water ecosystem, and progressively diminishing the ecological footprint of water quality.</p>
</sec>
<sec id="s3-1-4">
<label>3.1.4</label>
<title>Evolutionary signatures of water use efficiency</title>
<p>The ecological footprint of water resources of 10,000 yuan GDP is a critical metric for evaluating the coordination between regional water resources utilization and economic development. It effectively reflects the utilization efficiency of regional water resources management. The ecological footprint of water resources of 10,000 yuan GDP is calculated by <xref ref-type="disp-formula" rid="e4">Equation 4</xref>. As demonstrated in <xref ref-type="fig" rid="F4">Figure 4A</xref>, the ecological footprint of water resources associated with 10,000 yuan of GDP exhibited a persistent downward trend from 2013 to 2022, diminishing from a peak of 0.1520&#xa0;ha in 2015 to 0.0893&#xa0;ha in 2022, marking a cumulative decrease of 40.68%. The mean value of 0.1218&#xa0;ha during the study period demonstrates stability below the mean level after 2018. As illustrated in <xref ref-type="fig" rid="F4">Figure 4B</xref>, the Gross Domestic Product (GDP) generated per cubic meter of water exhibited an increase from $108.75 in 2015 to $185.04 in 2022, with an average annual growth rate of 6.2%. This phenomenon aligns with the observed decline in the ecological footprint of water resources of 10,000 yuan GDP, thereby substantiating the systematic enhancement in the region&#x2019;s water resource utilization efficiency. Consequently, it can be concluded that the region has achieved notable success in its endeavor to promote the development of a water-saving society. This initiative has not only enhanced the economic efficiency of water resources but also established a substantial foundation for the sustainable management of regional water resources.</p>
<fig id="F4" position="float">
<label>FIGURE 4</label>
<caption>
<p>The ecological footprint of water resources of 10,000 Yuan GDP and Water use efficiency index changes in the Northeast of Sichuan Province. <bold>(A)</bold> Water resource ecological footprint of 10,000 yuan GDP from 2013 to 2022. <bold>(B)</bold> Water use efficiency index from 2013 to 2022.</p>
</caption>
<graphic xlink:href="fenvs-13-1667693-g004.tif">
<alt-text content-type="machine-generated">Two line graphs depict trends from 2013 to 2022. Graph A shows a declining water resource ecological footprint per 10,000 Yuan GDP, starting around 0.15 and ending below 0.1. Graph B shows an increasing water use efficiency index, starting near 110 yuan per cubic meter and rising to approximately 190 yuan per cubic meter.</alt-text>
</graphic>
</fig>
</sec>
</sec>
<sec id="s3-2">
<label>3.2</label>
<title>Geospatial differentiation signatures of aquatic ecosystem footprint</title>
<sec id="s3-2-1">
<label>3.2.1</label>
<title>Geospatial differentiation of municipal water footprint per capita</title>
<p>
<xref ref-type="fig" rid="F5">Figure 5</xref> depicts the spatiotemporal evolution of <italic>per capita</italic> water ecological footprint (PWEF) across five cities in Northeast Sichuan (2013&#x2013;2022). Bazhong maintained the region&#x2019;s lowest PWEF (0.24&#x2013;0.33&#xa0;ha/capita) due to: (i) topographic constraints in the Daba Mountains limiting agricultural land; (ii) underdeveloped industries reducing water demand; and (iii) abundant Jialing River tributary flows under humid subtropical monsoon climate ensuring water balance. Conversely, Guangyuan exhibited the highest PWEF (0.394&#x2013;0.456&#xa0;ha/capita), attributable to its mountain-basin transitional position where: (a) 75% agricultural population sustains 6.5-million-acre croplands; (b) water-intensive industries (textiles, machinery, chemicals) dominate. Guang&#x2019;an, Nanchong, and Dazhou showed moderate PWEF variability (0.271&#x2013;0.426&#xa0;ha/capita) with stable total water resources.</p>
<fig id="F5" position="float">
<label>FIGURE 5</label>
<caption>
<p>Northeast of Sichuan Province spatial distribution of <italic>per capita</italic> ecological footprint of water resources by municipalities. <bold>(a)</bold> Spatial distribution of per capita water resource ecological footprint by municipalities in Northeast of Sichuan Province (Year 2013), <bold>(b)</bold> Spatial distribution of per capita water resource ecological footprint by municipalities in Northeast of Sichuan Province (Year 2016), <bold>(c)</bold> Spatial distribution of per capita water resource ecological footprint by municipalities in Northeast of Sichuan Province (Year 2019), <bold>(d)</bold> Spatial distribution of per capita water resource ecological footprint by municipalities in Northeast of Sichuan Province (Year 2022).</p>
</caption>
<graphic xlink:href="fenvs-13-1667693-g005.tif">
<alt-text content-type="machine-generated">Maps illustrating changes in land use per capita for Guangyuan, Bazhong, Nanchong, Dazhou, and Guang&#x27;an cities over four years. (a) 2013 map shows a gradient from light to dark blue, indicating low to moderate usage. (b) 2016 map shows more areas in darker blue. (c) 2019 map, darker shades indicate increased usage. (d) 2022 map shows widespread dark blue, signifying higher land use. Each map includes a scale bar and directional arrow.</alt-text>
</graphic>
</fig>
</sec>
<sec id="s3-2-2">
<label>3.2.2</label>
<title>Inter-city spatial heterogeneity analysis of per capita water ecological carrying capacity</title>
<p>
<xref ref-type="fig" rid="F6">Figure 6</xref> demonstrates that the spatial distribution of <italic>per capita</italic> ecological carrying capacity of water resources in the five cities in northeast Sichuan exhibits unevenness across the four periods of 2013, 2016, 2019, and 2022, thereby manifesting a trend of &#x201c;high in the north and low in the south&#x201d;. The ecological footprint of water resources <italic>per capita</italic> in northeastern Sichuan is maintained at approximately 1.35&#xa0;ha/person across the four periods. Guangyuan City has the highest <italic>per capita</italic> water resources carrying capacity, with an average of 2.468&#xa0;ha/person over 10 years and a change interval of 1.365&#x2013;2.468&#xa0;ha/person. Bazhong City follows with an average of 1.765&#xa0;ha/person over 10&#xa0;years and a change interval of 0.779&#x2013;3.605&#xa0;ha/person. These two cities are located in the Qinba Mountain area. They are influenced by southwest airflow and have high precipitation, a developed regional water system, abundant runoff resources, and a high ecological carrying capacity of water resources. Nanchong City has had the lowest <italic>per capita</italic> water resources carrying capacity in northeast Sichuan for 9&#xa0;years. This is mainly due to low precipitation in Nanchong City compared to other areas in northeast Sichuan. The continuous development of agriculture and industry, as well as the gradual increase in population, has put great pressure on water resources. Therefore, adjusting the water use structure is inevitable.</p>
<fig id="F6" position="float">
<label>FIGURE 6</label>
<caption>
<p>Northeast of Sichuan Province, spatial distribution of <italic>per capita</italic> water resource ecological carrying capacity of municipalities. <bold>(a)</bold> Spatial distribution of per capita water resource ecological carrying capacity of municipalities in Northeast of Sichuan Province (Year 2013), <bold>(b)</bold> Spatial distribution of per capita water resource ecological carrying capacity of municipalities in Northeast of Sichuan Province (Year 2016), <bold>(c)</bold> Spatial distribution of per capita water resource ecological carrying capacity of municipalities in Northeast of Sichuan Province (Year 2019), <bold>(d)</bold> Spatial distribution of per capita water resource ecological carrying capacity of municipalities in Northeast of Sichuan Province (Year 2022).</p>
</caption>
<graphic xlink:href="fenvs-13-1667693-g006.tif">
<alt-text content-type="machine-generated">Four choropleth maps showing changes in data across cities from 2013 to 2022. GuangYuan City consistently displays high values, indicated by dark red. BaZhong City shows increasing values over time, transitioning from light orange to darker shades. NanChong City, DaZhou City, and GuangAn City maintain lower values in lighter shades. Each map features a legend with value ranges and a north arrow for orientation.</alt-text>
</graphic>
</fig>
</sec>
<sec id="s3-2-3">
<label>3.2.3</label>
<title>Spatial analysis of water use efficiency by municipality</title>
<p>
<xref ref-type="fig" rid="F7">Figure 7</xref> illustrates the systematic decline in water ecological footprint per 10,000 Chinese Yuan GDP (WEF/10<sup>4</sup>CNY) across five cities in Northeast Sichuan (2013&#x2013;2022), revealing pronounced spatial heterogeneity. Southern Nanchong (decadal mean: 0.1168&#xa0;ha/10<sup>4</sup>CNY), Dazhou (0.1173), and Guang&#x2019;an (0.1156) formed a water-efficient cluster, successively achieving regional minima during 2013&#x2013;2014, 2015&#x2013;2017, and 2018&#x2013;2022 respectively. This progression demonstrates synergistic optimization between economic development and intensive water resource utilization. Conversely, northern Bazhong (0.1439) and Guangyuan (0.1356) consistently exceeded regional averages, with Bazhong recording the highest values in 9 of 10 years. These disparities stem from delayed industrial restructuring and inadequate technological innovation capacity, necessitating institutional reforms and technology diffusion to enhance water use efficiency.</p>
<fig id="F7" position="float">
<label>FIGURE 7</label>
<caption>
<p>Northeast of Sichuan Province spatial distribution of water resource ecological footprint of 10,000 Yuan GDP by municipalities. <bold>(a)</bold> Spatial distribution of water resource ecological footprint of 10,000 Yuan GDP by municipalities in Northeast of Sichuan Province (Year 2013), <bold>(b)</bold> Spatial distribution of water resource ecological footprint of 10,000 Yuan GDP by municipalities in Northeast of Sichuan Province (Year 2016), <bold>(c)</bold> Spatial distribution of water resource ecological footprint of 10,000 Yuan GDP by municipalities in Northeast of Sichuan Province (Year 2019), <bold>(d)</bold> Spatial distribution of water resource ecological footprint of 10,000 Yuan GDP by municipalities in Northeast of Sichuan Province (Year 2022).</p>
</caption>
<graphic xlink:href="fenvs-13-1667693-g007.tif">
<alt-text content-type="machine-generated">Four maps depict land area per person in square hectometers for cities in a region across four years: (a) 2013, (b) 2016, (c) 2019, and (d) 2022. The regions include GuangYuan City, BaZhong City, NanChong City, DaZhou City, and GuangAn City. Each map shows color gradients for values ranging from 0.0 to 0.20, with darker shades indicating higher values.</alt-text>
</graphic>
</fig>
</sec>
</sec>
<sec id="s3-3">
<label>3.3</label>
<title>Analysis of ecological footprint drivers for water resources</title>
<sec id="s3-3-1">
<label>3.3.1</label>
<title>Tapio decoupling model coordination relationship analysis</title>
<p>The Tapio decoupling index is calculated by <xref ref-type="disp-formula" rid="e5">Equation 5</xref>. Tapio decoupling analysis reveals that elevated water ecological footprint (WEF) growth intensifies water resource pressure during economic expansion, resulting in weaker decoupling (60% of years exhibiting weak decoupling in Northeast Sichuan, 2013&#x2013;2022). <xref ref-type="table" rid="T3">Table 3</xref> and <xref ref-type="fig" rid="F8">Figure 8</xref> illustrate the dynamics of decoupling water use and economic development in the northeast Sichuan region from 2013 to 2022. Conversely, diminished or stabilized WEF growth facilitates stronger resource-economic decoupling by reducing water dependency. The region manifested three decoupling states: expansive negative decoupling in 2015 (WEF growth &#x3e; GDP growth), strong decoupling in 2017/2019/2020 (WEF declines of &#x2212;1.85% to &#x2212;1.61%), and predominant weak decoupling in remaining years (WEF growth &#x3c; GDP growth). Although 90% of years achieved decoupling&#x2014;confirming effective water conservation amid economic growth&#x2014;the prevalence of weak decoupling indicates persistent resource dependence and systemic instability. Strategic optimizations are imperative: implementing water-saving policies, upgrading industrial structures, refining urban-water system integration, and advancing sustainable water-economy coordination mechanisms.</p>
<table-wrap id="T3" position="float">
<label>TABLE 3</label>
<caption>
<p>Decoupling index for northeast Sichuan from 2013 to 2022.</p>
</caption>
<table>
<thead valign="top">
<tr>
<th align="center">year</th>
<th align="center">&#x25b3;EFW</th>
<th align="center">&#x25b3;GDP</th>
<th align="center">Decoupling index</th>
<th align="center">Degree of decoupling</th>
</tr>
</thead>
<tbody valign="top">
<tr>
<td align="center">2013</td>
<td align="center">0.062</td>
<td align="center">0.128</td>
<td align="center">0.483</td>
<td align="center">weakly decoupled</td>
</tr>
<tr>
<td align="center">2014</td>
<td align="center">0.068</td>
<td align="center">0.092</td>
<td align="center">0.736</td>
<td align="center">weakly decoupled</td>
</tr>
<tr>
<td align="center">2015</td>
<td align="center">0.098</td>
<td align="center">0.064</td>
<td align="center">1.541</td>
<td align="center">Expansive negative decoupling</td>
</tr>
<tr>
<td align="center">2016</td>
<td align="center">0.037</td>
<td align="center">0.082</td>
<td align="center">0.452</td>
<td align="center">weakly decoupled</td>
</tr>
<tr>
<td align="center">2017</td>
<td align="center">&#x2212;0.016</td>
<td align="center">0.138</td>
<td align="center">&#x2212;0.117</td>
<td align="center">force a hook</td>
</tr>
<tr>
<td align="center">2018</td>
<td align="center">0.022</td>
<td align="center">0.134</td>
<td align="center">0.166</td>
<td align="center">weakly decoupled</td>
</tr>
<tr>
<td align="center">2019</td>
<td align="center">&#x2212;0.018</td>
<td align="center">0.079</td>
<td align="center">&#x2212;0.232</td>
<td align="center">force a hook</td>
</tr>
<tr>
<td align="center">2020</td>
<td align="center">&#x2212;0.016</td>
<td align="center">0.030</td>
<td align="center">&#x2212;0.541</td>
<td align="center">force a hook</td>
</tr>
<tr>
<td align="center">2021</td>
<td align="center">0.021</td>
<td align="center">0.099</td>
<td align="center">0.208</td>
<td align="center">weakly decoupled</td>
</tr>
<tr>
<td align="center">2022</td>
<td align="center">0.009</td>
<td align="center">0.035</td>
<td align="center">0.258</td>
<td align="center">weakly decoupled</td>
</tr>
</tbody>
</table>
</table-wrap>
<fig id="F8" position="float">
<label>FIGURE 8</label>
<caption>
<p>Dynamics of decoupling water use and economic development in the Northeast of Sichuan Province from 2013 to 2022.</p>
</caption>
<graphic xlink:href="fenvs-13-1667693-g008.tif">
<alt-text content-type="machine-generated">Bar and line graph showing change indices from 2013 to 2022. Yellow bars represent GDP change, orange bars represent EFW change, and the green line represents the decoupling index. GDP values fluctuate with a peak in 2015 and 2020. EFW exhibits smaller variations, generally decreasing. The decoupling index shows significant fluctuation, peaking around 2015 and 2022 with dips in 2016 and 2019. Dual y-axes indicate change and decoupling index levels.</alt-text>
</graphic>
</fig>
</sec>
<sec id="s3-3-2">
<label>3.3.2</label>
<title>Analysis of LMDI model drivers</title>
<p>The LMDI decomposition quantifies drivers of water ecological footprint dynamics in Northeast Sichuan (2014&#x2013;2022), where positive/negative decomposed effects respectively promote/inhibit WEF growth (<xref ref-type="bibr" rid="B14">Lin et al., 2017</xref>; <xref ref-type="bibr" rid="B24">Sun et al., 2024</xref>). Calculations based on <xref ref-type="disp-formula" rid="e6">Equations 6</xref>&#x2013;<xref ref-type="disp-formula" rid="e11">11</xref>, categorized by structural, technological, economic, and population effects (2013 base year; <xref ref-type="table" rid="T4">Table 4</xref>), results reveal a mean total effect of &#x2b;7.09 million ha&#x2014;consistent with observed WEF increases. Crucially, structural and economic effects consistently exhibited positive contributions, while technological effects remained negative (except 2015) alongside persistently inhibitory population effects, demonstrating multi-dimensional drivers of regional water resource pressure.</p>
<table-wrap id="T4" position="float">
<label>TABLE 4</label>
<caption>
<p>Northeast of Sichuan Province decomposition values of water resources ecological footprint factors.</p>
</caption>
<table>
<thead valign="top">
<tr>
<th align="center">year</th>
<th align="center">Structural effect</th>
<th align="center">Technological effect</th>
<th align="center">Economic effect</th>
<th align="center">Demographic effect</th>
<th align="center">Aggregate effect</th>
<th align="center">The main contributing factors</th>
<th align="center">The main inhibiting factors</th>
</tr>
</thead>
<tbody valign="top">
<tr>
<td align="center">2013</td>
<td align="center">0</td>
<td align="center">0</td>
<td align="center">0</td>
<td align="center">0</td>
<td align="center">0</td>
<td align="center">&#x2013;</td>
<td align="center">&#x2013;</td>
</tr>
<tr>
<td align="center">2014</td>
<td align="center">0.00002</td>
<td align="center">&#x2212;0.00514</td>
<td align="center">0.03015</td>
<td align="center">&#x2212;0.00205</td>
<td align="center">0.02299</td>
<td align="center">Economic effect</td>
<td align="center">Technological effect</td>
</tr>
<tr>
<td align="center">2015</td>
<td align="center">0.00010</td>
<td align="center">0.00685</td>
<td align="center">0.05390</td>
<td align="center">&#x2212;0.00377</td>
<td align="center">0.05709</td>
<td align="center">Economic effect</td>
<td align="center">Demographic effect</td>
</tr>
<tr>
<td align="center">2016</td>
<td align="center">0.00008</td>
<td align="center">&#x2212;0.00511</td>
<td align="center">0.08470</td>
<td align="center">&#x2212;0.00629</td>
<td align="center">0.07337</td>
<td align="center">Economic effect</td>
<td align="center">Demographic effect</td>
</tr>
<tr>
<td align="center">2017</td>
<td align="center">0.00013</td>
<td align="center">&#x2212;0.05204</td>
<td align="center">0.13062</td>
<td align="center">&#x2212;0.00874</td>
<td align="center">0.06996</td>
<td align="center">Economic effect</td>
<td align="center">Technological effect</td>
</tr>
<tr>
<td align="center">2018</td>
<td align="center">0.00027</td>
<td align="center">&#x2212;0.08542</td>
<td align="center">0.17908</td>
<td align="center">&#x2212;0.01203</td>
<td align="center">0.08190</td>
<td align="center">Economic effect</td>
<td align="center">Technological effect</td>
</tr>
<tr>
<td align="center">2019</td>
<td align="center">0.00025</td>
<td align="center">&#x2212;0.11442</td>
<td align="center">0.20793</td>
<td align="center">&#x2212;0.01532</td>
<td align="center">0.07844</td>
<td align="center">Economic effect</td>
<td align="center">Technological effect</td>
</tr>
<tr>
<td align="center">2020</td>
<td align="center">0.00018</td>
<td align="center">&#x2212;0.12638</td>
<td align="center">0.22111</td>
<td align="center">&#x2212;0.01881</td>
<td align="center">0.07610</td>
<td align="center">Economic effect</td>
<td align="center">Technological effect</td>
</tr>
<tr>
<td align="center">2021</td>
<td align="center">0.00023</td>
<td align="center">&#x2212;0.15136</td>
<td align="center">0.25938</td>
<td align="center">&#x2212;0.02152</td>
<td align="center">0.08673</td>
<td align="center">Economic effect</td>
<td align="center">Technological effect</td>
</tr>
<tr>
<td align="center">2022</td>
<td align="center">0.00024</td>
<td align="center">&#x2212;0.16001</td>
<td align="center">0.27438</td>
<td align="center">&#x2212;0.02291</td>
<td align="center">0.09170</td>
<td align="center">Economic effect</td>
<td align="center">Technological effect</td>
</tr>
</tbody>
</table>
</table-wrap>
<p>During 2014&#x2013;2022, the economic effect consistently exerted a positive driving force on the water resource ecological footprint (WEF) in Northeast Sichuan, constituting the dominant growth factor. Its decomposition value increased persistently from 30.1 million ha in 2014 to 274.4 million ha in 2022. Concurrently, the regional gross domestic product (GDP) rose from 453.765 billion yuan to 851.798 billion yuan, reflecting an average annual growth rate of 9.75%. Economic expansion triggered water demand escalation, thereby propelling a sustained increase in WEF and intensifying regional water stress.</p>
<p>The structural effect characterizes how industrial composition and water conservation measures influence water use efficiency. During 2014&#x2013;2022, this effect remained positive but exhibited a low contribution rate with decelerating growth, indicating limited positive driving force on the water resource ecological footprint (WEF) in Northeast Sichuan. This trajectory reflects synergistic effects from regional industrial restructuring&#x2014;transitioning water-intensive industries to low-water-consumption, high-technology sectors&#x2014;and widespread adoption of water-saving technologies. By enhancing water use efficiency and curbing excessive resource consumption, these measures effectively alleviated growth pressure on the WEF.</p>
<p>The uncertainty of the LMDI model in this study mainly stems from slight fluctuations in input data (such as total water consumption and GDP), with relatively small errors.</p>
<p>The technological effect exhibited consistently negative values during 2014&#x2013;2022 (except 2015), indicating a significant inhibitory effect on water resource ecological footprint (WEF) growth. The core mechanism involves reducing water consumption per unit GDP through technological innovation and application, thereby curbing the ecological footprint. With iterative advancements in green technologies, intelligent water management systems, and water conservation techniques, this effect will continue strengthening its constraining influence on the ecological footprint. Such progression fosters synergistic development between economic growth and sustainable water resource utilization.</p>
<p>From the perspective of the population effect, the decomposition value of the population effect has always remained negative during the period of 2014&#x2013;2022, which effectively inhibits the increase of the ecological footprint of water resources to a certain extent. The phenomenon under scrutiny can be attributed primarily to the stringent enforcement of the national family planning policy, which has been implemented to effectively regulate the population base. Concurrently, the rising expenditure on child education, healthcare, and other forms of support has led to a decline in the region&#x2019;s birth rate, thereby reducing the natural population growth rate. Consequently, the population effect has hindered the expansion of the ecological footprint of water resources.</p>
</sec>
</sec>
</sec>
<sec sec-type="discussion" id="s4">
<label>4</label>
<title>Discussion</title>
<p>The predominant nature of produced water in total water consumption underscores the pivotal role of enhancing its utilization efficiency in mitigating regional water stress (<xref ref-type="bibr" rid="B25">Tao and Guo, 2018</xref>). The ecological footprint of production water constituted a substantial proportion of each water use account in northeast Sichuan, a finding that aligns with the results of the water resources ecological footprint study of Sichuan Province by <xref ref-type="bibr" rid="B13">Li et al. (2023)</xref>. The optimization of production water management has been demonstrated to be an effective strategy for reducing water consumption and providing substantial support for the sustainable utilization of regional water resources.</p>
<p>Water resource ecological carrying capacity demonstrates a significant correlation with regional precipitation, a finding consistent with <xref ref-type="bibr" rid="B29">Wang et al. (2025)</xref> in the Three-River Source Region. As the primary replenishment source of water resources, precipitation governs regional water availability through its interannual variability and seasonal distribution patterns, directly regulating surface runoff and groundwater recharge. Furthermore, alterations in precipitation regimes influence ecosystem stability indirectly by modulating ecological factors such as vegetation coverage and soil moisture content.</p>
<p>Water resource ecological carrying capacity (WRECC) in Northeast Sichuan exhibits marked spatial heterogeneity, a characteristic reflecting regional natural water endowment that aligns with Yang et al.&#x27;s (<xref ref-type="bibr" rid="B35">Yang et al., 2024</xref>) findings for China&#x2019;s seven major river basins. The higher WRECC in northern areas is primarily attributed to the Daba Mountains&#x2019; subtropical monsoon climate, characterized by extended flood seasons and abundant precipitation that generates richer surface water resources. To enhance regional water sustainability, priority should be given to optimizing production water management, strengthening regulatory control over domestic water use, and promoting eco-environmental water allocation practices.</p>
<p>The findings of this study align with the research results of scholars such as <xref ref-type="bibr" rid="B20">Qian and He (2011)</xref> and <xref ref-type="bibr" rid="B6">Gao et al. (2020)</xref>, which demonstrate that regional industrial structure, economic development level, and the degree of water resource pollution have a more significant impact on the water resource utilization efficiency. In order to enhance the efficacy with which regional water resources are utilized, government regulation of water usage behavior is one potential solution. Such regulation would take the form of institutional constraints. Conversely, the conditions of regional water resources endowment mandate the formulation of a scientific reserve strategy tailored to local circumstances, thereby ensuring the long-term sustainable utilization of regional water resources.</p>
</sec>
<sec sec-type="conclusion" id="s5">
<label>5</label>
<title>Conclusion</title>
<p>
<list list-type="order">
<list-item>
<p>From 2013 to 2022, the total water resources ecological footprint in Northeast Sichuan increased by 1.35 &#xd7; 10<sup>6</sup> hectares. The driving force behind this growth lies in the rising water demand caused by population expansion and the development of urban areas, industry, and agriculture. Among the four water resource categories, agricultural water has the highest proportion of ecological footprint but the lowest ecological water consumption. In terms of spatial distribution, it presents a &#x201c;high in the west and low in the east&#x201d; pattern: the western region shows gentle changes due to the balance between economic development and ecological benefits, while the eastern region has the phenomenon of excessive water consumption accompanying economic growth.</p>
</list-item>
<list-item>
<p>The annual average value of regional water resources ecological carrying capacity is 2.31 &#xd7; 10<sup>7</sup> hectares, showing an overall fluctuating downward trend. The inter-annual fluctuations are mainly affected by the total precipitation, and it is necessary to strengthen water storage projects to ensure stable water supply. In terms of spatial differences, the <italic>per capita</italic> carrying capacity of Guangyuan and Bazhong in the northern part is significantly higher than that of Nanchong and Guang&#x2019;an in the southern part.</p>
</list-item>
<list-item>
<p>From 2016 to 2022, the water quality ecological footprint showed a trend of &#x201c;first increasing and then decreasing&#x201d;. Although the emissions of COD and NH<sub>3</sub> in the region decreased, the wastewater discharge still showed an upward trend. This indicates that the current environmental protection policies have improved the wastewater treatment rate, but it is necessary to further strengthen the control of wastewater discharge to reduce pollution risks. During the same period, the water resources ecological footprint per 10,000 yuan of GDP decreased by 40.68% from 2013 to 2022. Among them, the indicator levels of Nanchong, Dazhou, and Guang&#x2019;an are relatively low, and the improvement effect of water resources utilization efficiency is more significant.</p>
</list-item>
<list-item>
<p>The water resources utilization and economic growth in the region are in a state of weak decoupling, and the dependence of economic growth on water consumption has not been fundamentally changed. The LMDI index decomposition shows that both the economic effect and the structural effect promote the expansion of the water resources ecological footprint, but the growth rate has slowed down significantly; the technological effect and the demographic effect effectively inhibit the growth of the footprint, and have become key driving factors supporting the sustainable development of water resources, providing a direction for the subsequent optimization of water resources management.</p>
</list-item>
</list>
</p>
</sec>
</body>
<back>
<sec sec-type="data-availability" id="s6">
<title>Data availability statement</title>
<p>The datasets presented in this study can be found in online repositories. The names of the repository/repositories and accession number(s) can be found in the article/supplementary material.</p>
</sec>
<sec sec-type="author-contributions" id="s7">
<title>Author contributions</title>
<p>AP: Writing &#x2013; review and editing. LC: Writing &#x2013; original draft. CS: Writing &#x2013; review and editing. YY: Writing &#x2013; original draft. HZ: Writing &#x2013; original draft. RC: Writing &#x2013; original draft.</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>
<p>Any alternative text (alt text) provided alongside figures in this article has been generated by Frontiers with the support of artificial intelligence and reasonable efforts have been made to ensure accuracy, including review by the authors wherever possible. If you identify any issues, please contact us.</p>
</sec>
<sec sec-type="disclaimer" id="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>
<fn-group>
<fn fn-type="custom" custom-type="edited-by">
<p>
<bold>Edited by:</bold> <ext-link ext-link-type="uri" xlink:href="https://loop.frontiersin.org/people/1335424/overview">Reza Kerachian</ext-link>, University of Tehran, Iran</p>
</fn>
<fn fn-type="custom" custom-type="reviewed-by">
<p>
<bold>Reviewed by:</bold> <ext-link ext-link-type="uri" xlink:href="https://loop.frontiersin.org/people/3113968/overview">Manoj Kumar</ext-link>, ICAR - Indian Institute of Soil and Water Conservation Chandigarh, India</p>
<p>
<ext-link ext-link-type="uri" xlink:href="https://loop.frontiersin.org/people/3121900/overview">Mohamed M. Elsharkawy</ext-link>, Beni-Suef University, Egypt</p>
</fn>
</fn-group>
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