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<front>
<journal-meta>
<journal-id journal-id-type="publisher-id">Front. Sustain. Cities</journal-id>
<journal-title>Frontiers in Sustainable Cities</journal-title>
<abbrev-journal-title abbrev-type="pubmed">Front. Sustain. Cities</abbrev-journal-title>
<issn pub-type="epub">2624-9634</issn>
<publisher>
<publisher-name>Frontiers Media S.A.</publisher-name>
</publisher>
</journal-meta>
<article-meta>
<article-id pub-id-type="doi">10.3389/frsc.2025.1616652</article-id>
<article-categories>
<subj-group subj-group-type="heading">
<subject>Sustainable Cities</subject>
<subj-group>
<subject>Original Research</subject>
</subj-group>
</subj-group>
</article-categories>
<title-group>
<article-title>Variations and impact factors of land use carbon emissions in the Yangtze River Economic Belt from a multiscale perspective</article-title>
</title-group>
<contrib-group>
<contrib contrib-type="author">
<name><surname>Liu</surname> <given-names>Chong</given-names></name>
<xref ref-type="aff" rid="aff1"><sup>1</sup></xref>
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</contrib>
<contrib contrib-type="author" corresp="yes">
<name><surname>Wang</surname> <given-names>Xiaoman</given-names></name>
<xref ref-type="aff" rid="aff2"><sup>2</sup></xref>
<xref ref-type="corresp" rid="c001"><sup>&#x002A;</sup></xref>
<uri xlink:href="https://loop.frontiersin.org/people/3044751/overview"/>
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<contrib contrib-type="author">
<name><surname>Li</surname> <given-names>Haiyang</given-names></name>
<xref ref-type="aff" rid="aff3"><sup>3</sup></xref>
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<aff id="aff1"><sup>1</sup><institution>School of Public Policy &#x0026; Management, Anhui Jianzhu University</institution>, <addr-line>Hefei</addr-line>, <country>China</country></aff>
<aff id="aff2"><sup>2</sup><institution>School of Government, Sun Yat-sen University</institution>, <addr-line>Guangzhou</addr-line>, <country>China</country></aff>
<aff id="aff3"><sup>3</sup><institution>School of Public Policy and Management, Tsinghua University</institution>, <addr-line>Beijing</addr-line>, <country>China</country></aff>
<author-notes>
<fn fn-type="edited-by" id="fn0003">
<p>Edited by: Francisco Sampaio, Escola Superior de Enfermagem do Porto, Portugal</p>
</fn>
<fn fn-type="edited-by" id="fn0004">
<p>Reviewed by: Qingxi Zhang, Hebei Normal University, China</p>
<p>Xiaoping Zhang, Shandong Jianzhu University, China</p>
<p>Bin Liu, Chinese Academy of Sciences (CAS), China</p>
<p>Chao Zhang, Chinese Academy of Forestry, China</p>
<p>Wei Heng, Zhongkai University of Agriculture and Engineering, China</p>
</fn>
<corresp id="c001">&#x002A;Correspondence: Xiaoman Wang, <email>wangxm87@mail2.sysu.edu.cn</email></corresp>
</author-notes>
<pub-date pub-type="epub">
<day>22</day>
<month>07</month>
<year>2025</year>
</pub-date>
<pub-date pub-type="collection">
<year>2025</year>
</pub-date>
<volume>7</volume>
<elocation-id>1616652</elocation-id>
<history>
<date date-type="received">
<day>23</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 &#x00A9; 2025 Liu, Wang and Li.</copyright-statement>
<copyright-year>2025</copyright-year>
<copyright-holder>Liu, Wang and Li</copyright-holder>
<license xlink:href="http://creativecommons.org/licenses/by/4.0/">
<p>This is an open-access article distributed under the terms of the Creative Commons Attribution License (CC BY). The use, distribution or reproduction in other forums is permitted, provided the original author(s) and the copyright owner(s) are credited and that the original publication in this journal is cited, in accordance with accepted academic practice. No use, distribution or reproduction is permitted which does not comply with these terms.</p>
</license>
</permissions>
<abstract>
<p>Land use carbon emissions (LUCE) contribute significantly to global warming. Recognizing the influence of regional heterogeneity and geographical scale on socioeconomic development, studying LUCE at various scales is crucial for devising more effective emission reduction measures. However, previous studies have predominantly focused on a single scale. This study focuses on the Yangtze River Economic Belt (YREB), utilizing land use, nighttime light, and energy consumption data to compute LUCE at provincial, prefectural, and county scales, employing spatial autocorrelation, geographic detectors, and the Multiscale Geographically Weighted Regression (MGWR) model to analyze the spatiotemporal dynamics and impact factors of LUCE across different scales. Our results show: (1) Throughout the study period, LUCE in the YREB exhibited a steady increase, rising from 28,434.32&#x202F;&#x00D7;&#x202F;10<sup>4</sup> t to 86,581.79&#x202F;&#x00D7;&#x202F;10<sup>4</sup> t. (2) Positive spatial autocorrelation was observed in LUCE at all three scales. Notably, spatial clustering intensified at the provincial and prefectural levels, while a diminishing trend in clustering was noted at the county scale. (3) Predominant clustering patterns at the prefectural and county scales included H&#x2013;H and L&#x2013;L types, with the county scale displaying more pronounced clustering characteristics. (4) Economic development emerged as the primary influencing factor on LUCE at both the prefectural and county scales. Nevertheless, the intensity of impact from carbon emission intensity, industrial structure, population size, government intervention, and land use degree differs between the two levels. This research underscores the high sensitivity of LUCE to administrative scales, emphasizing the necessity of considering these scales when formulating emission reduction strategies.</p>
</abstract>
<kwd-group>
<kwd>land use carbon emissions</kwd>
<kwd>impact factor</kwd>
<kwd>multiscale perspective</kwd>
<kwd>MGWR</kwd>
<kwd>Yangtze River Economic Belt</kwd>
</kwd-group>
<counts>
<fig-count count="12"/>
<table-count count="3"/>
<equation-count count="5"/>
<ref-count count="59"/>
<page-count count="20"/>
<word-count count="12324"/>
</counts>
<custom-meta-wrap>
<custom-meta>
<meta-name>section-at-acceptance</meta-name>
<meta-value>Climate Change and Cities</meta-value>
</custom-meta>
</custom-meta-wrap>
</article-meta>
</front>
<body>
<sec sec-type="intro" id="sec1">
<label>1</label>
<title>Introduction</title>
<p>In the 21st century, one of the most pressing issues facing humanity is global warming, and how to prepare for climate change is a major global concern (<xref ref-type="bibr" rid="ref39">Shehzad, 2023</xref>; <xref ref-type="bibr" rid="ref57">Yuan et al., 2024</xref>;<xref ref-type="bibr" rid="ref53">Yang et al., 2025</xref>). Human activities related to land use changes were responsible for approximately 33% of carbon emissions between 1850 and 1990 (<xref ref-type="bibr" rid="ref16">Houghton and Hackler, 1999</xref>), and according to the Global Carbon Project 2020, from 1850 to 2019, land use change resulted in a cumulative amount of around 265 Gt of carbon dioxide (<xref ref-type="bibr" rid="ref11">Friedlingstein et al., 2020</xref>). LUCE is a major contributor to global warming (<xref ref-type="bibr" rid="ref15">Houghton, 2002</xref>; <xref ref-type="bibr" rid="ref20">Lau et al., 2021</xref>; <xref ref-type="bibr" rid="ref51">Yan et al., 2022</xref>). China is now the biggest carbon emitter in the world, surpassing the combined emissions of the US and the EU (<xref ref-type="bibr" rid="ref55">Yu et al., 2022</xref>). In September 2020, China declared ambitious goals to reach maximum emissions of carbon by 2030 and zero emissions of carbon by 2060. To achieve China&#x2019;s carbon neutrality target and encourage high-quality economic development, the national carbon peak plan must be implemented more quickly (<xref ref-type="bibr" rid="ref35">Quan and Zhenghao, 2025</xref>). The Yangtze River Economic Belt (YREB) is one of the two principal axes of China&#x2019;s territorial development and economic layout (<xref ref-type="bibr" rid="ref28">Lu, 2018</xref>), as well as a key region for advancing ecological conservation and green development (<xref ref-type="bibr" rid="ref17">Hu et al., 2025</xref>). The Chinese government unveiled a strategy for the YREB in November 2018 that prioritizes sustainable development, dissuades massive expansion, supports green ecosystem projects, and unifies operations in the upstream, middle, and downstream sectors of the area. However, many challenges remain in creating ecological development and paths of green growth in the YREB. Rapid economic growth has resulted in significant carbon emissions, a rise in construction, and a rapid decline in ecological and high-quality arable areas. Thus, research on LUCE in the YREB is essential for promoting low-carbon economic growth by informing policies and practices that enable sustainable and low-carbon land use in China.</p>
<p>Scholars have studied LUCE extensively, including carbon emission mechanisms, spatial distribution characteristics, impact factors, and carbon emissions accounting. Land use structure, population increase, and economic output are all major variables in increasing LUCE (<xref ref-type="bibr" rid="ref4">Darwish et al., 2023</xref>). The bookkeeping model (<xref ref-type="bibr" rid="ref44">van Marle et al., 2022</xref>), the plot inventory approach (<xref ref-type="bibr" rid="ref49">Winkler et al., 2023</xref>), and the IPCC&#x2019;s approach to emission coefficients (<xref ref-type="bibr" rid="ref9">Feng et al., 2024</xref>; <xref ref-type="bibr" rid="ref12">Garofalo et al., 2022</xref>) are currently the primary carbon emission accounting methods. Scholars commonly utilize IPCC criteria to calculate LUCE for country greenhouse gas inventories (<xref ref-type="bibr" rid="ref33">McGlynn et al., 2022</xref>). However, this method utilizes diverse energy consumption data. At larger administrative scales, data completeness is higher, whereas, at smaller scales, data availability is limited. For instance, there are significant gaps in China&#x2019;s energy consumption statistics at the prefectural and county scales (<xref ref-type="bibr" rid="ref30">Lv et al., 2020</xref>), although the data at the province scale is comparatively full (<xref ref-type="bibr" rid="ref2">Bu et al., 2022</xref>). Energy consumption data are frequently used as the primary foundation for calculating carbon emissions from construction land that are indirect. Therefore, past research has mostly concentrated on the national (<xref ref-type="bibr" rid="ref19">Lai et al., 2016</xref>) and provincial scale (<xref ref-type="bibr" rid="ref38">Rong et al., 2022</xref>), with few studies undertaken at the prefectural and county scales and much fewer multiscale studies. The intensity of nighttime light and carbon emissions from energy use have been found to be significantly correlated as remote sensing technology develops (<xref ref-type="bibr" rid="ref37">Raupach et al., 2010</xref>). Scholars have increasingly utilized nighttime light data to explore LUCE at prefectural (<xref ref-type="bibr" rid="ref61">Zheng et al., 2024</xref>) and county (<xref ref-type="bibr" rid="ref26">Liu et al., 2024a</xref>) levels. However, research on LUCE has predominantly focused on single administrative scales. Given that socioeconomic development is significantly influenced by regional heterogeneity and geographical scale (<xref ref-type="bibr" rid="ref5">Deng et al., 2022</xref>), a systematic investigation of LUCE across multiple administrative levels is essential for devising more reasonable and effective emission reduction strategies. Consequently, adopting a multi-scale perspective to study LUCE is of great importance in supporting the formulation of targeted and efficient emission reduction policies for governments at various administrative levels in YREB.</p>
<p>Prior research has used a number of techniques to examine the variables impacting carbon emissions, such as the STIRPAT model (<xref ref-type="bibr" rid="ref1">Aziz and Chowdhury, 2023</xref>), the IPAT model (<xref ref-type="bibr" rid="ref14">Haberl et al., 2023</xref>), and the logarithmic mean Divisia index (LDMI) (<xref ref-type="bibr" rid="ref18">Khan and Majeed, 2023</xref>). However, these investigations predominantly rely on traditional econometric approaches for factor decomposition, often neglecting the spatial dimension&#x2019;s influence on carbon emission factors and failing to address potential spatial deviations that could affect the results. Furthermore, Moreover, the cumulative effect of numerous influencing factors on carbon emissions is not considered. Geographically weighted regression (GWR) is a traditional local regression model that takes into account both the spatial properties of the data and the geographic location of effect variables. Compared to the classical global regression model, GWR effectively addresses geographical heterogeneity (<xref ref-type="bibr" rid="ref34">Pribadi and Pauleit, 2016</xref>). However, GWR employs a single bandwidth, leading to homogeneous regression features and a lack of multiscale consideration in studying the impact elements of LUCE. Different factors show varying scale effects on LUCE, and the MGWR model overcomes the limitations of GWR by allowing each factor to possess a unique bandwidth. This exclusive bandwidth reflects its spatial scale and mitigates estimation bias (<xref ref-type="bibr" rid="ref10">Fotheringham et al., 2017</xref>). MGWR was introduced in 2017 and has seen gradual refinement and practical application since (<xref ref-type="bibr" rid="ref56">Yu et al., 2020</xref>). Currently, there is limited research utilizing MGWR, primarily focusing on multiscale impact analysis related to environmental pollution and ecological resources. Few academics have applied this approach to studying the impact variables of LUCE. Meanwhile, the geographical detector effectively analyzes the interactions between different influencing factors (<xref ref-type="bibr" rid="ref48">Wang and Yang, 2024</xref>), distinguishing between individual effects and interactive effects, demonstrating strong applicability. However, the integration of the geographical detector with the MGWR model for an in-depth investigation of the effect factors of LUCE remains limited.</p>
<p>Based on this, this paper focuses on the YREB to investigate the spatiotemporal characteristics and influencing factors of LUCE. Using land use data, energy consumption data, and nighttime light data, LUCE is calculated at the provincial, prefectural, and county levels. Subsequently, a multi-scale analysis is conducted to systematically examine the spatiotemporal features of LUCE and its impact factors through spatial autocorrelation analysis, the Geographic Detector, and the MGWR model. The study aims to provide a scientific foundation for governmental authorities at various administrative levels within the YREB to develop tailored emission reduction strategies.</p>
</sec>
<sec sec-type="materials|methods" id="sec2">
<label>2</label>
<title>Materials and methods</title>
<sec id="sec3">
<label>2.1</label>
<title>Summary of the research area</title>
<p>The YREB (<xref ref-type="fig" rid="fig1">Figure 1</xref>) is one of China&#x2019;s key economic zones, playing a significant role in the country&#x2019;s overall development (<xref ref-type="bibr" rid="ref41">Song et al., 2022</xref>). It spans China&#x2019;s eastern, central, and western regions, serving as a vital link between these areas. The YREB, which makes up over 20% of China&#x2019;s geographical area and accounts for 45% of the country&#x2019;s GDP, is essential to economic growth. The YREB is divided into three regions (<xref ref-type="bibr" rid="ref6">Dong et al., 2020</xref>): the lower reaches (Shanghai, Zhejiang, Jiangsu, and Anhui), covering 17.1% of the belt (353,300&#x202F;km<sup>2</sup>); the middle reaches (Jiangxi, Hubei, and Hunan), covering 27.5% of the belt (564,600&#x202F;km<sup>2</sup>); and the upstream region (Chongqing, Guizhou, Sichuan, and Yunnan), covering 55.4% of the belt (1,137,400 km<sup>2</sup>). The region is rich in resources of natural origin and has significant growth potential.</p>
<fig position="float" id="fig1">
<label>Figure 1</label>
<caption>
<p>The YREB&#x2019;s location map.</p>
</caption>
<graphic xlink:href="frsc-07-1616652-g001.tif">
<alt-text content-type="machine-generated">Map illustrating the Yangtze River Economic Belt in China, highlighting provinces like Sichuan, Yunnan, Hubei, and Shanghai. It shows the river's path and variations in elevation, marked in a gradient from low to high. A smaller inset map of China indicates the region's location.</alt-text>
</graphic>
</fig>
</sec>
<sec id="sec4">
<label>2.2</label>
<title>Sources of data</title>
<p>The land use data were sourced from Resource and Environmental Science Data Platform.<xref ref-type="fn" rid="fn0001"><sup>1</sup></xref> This dataset covers five time periods: 2000, 2005, 2010, 2015, and 2020. To meet the research needs, the original 30&#x202F;m resolution data is resampled to 300&#x202F;m. In the study area, the land was divided into six primary varieties, including grassland, woodlands, cropland, water, construction land, and unused land. The nighttime light data came from the corrected Chinese long-term dataset spanning 2000&#x2013;2020 (<xref ref-type="bibr" rid="ref500">Zhong et al., 2022</xref>), whereas the energy data came from the China Energy Statistical Yearbook (2001&#x2013;2021). Socioeconomic data primarily originated from the China County Statistical Yearbook and district/county reports on national economic and social development statistics (2001&#x2013;2021). Population data were retrieved from the World Population database.<xref ref-type="fn" rid="fn0002"><sup>2</sup></xref> Prefectural scale economic data were obtained through conversions from corresponding county scale data to ensure consistency and accuracy, thereby eliminating errors arising from statistical discrepancies.</p>
</sec>
<sec id="sec5">
<label>2.3</label>
<title>Selection of influencing factors</title>
<p>Economic development (X1), government intervention (X2), population size (X3), industrial structure (X4), carbon emission intensity (X5), and land use degree (X6) were chosen for this article based on available literature and relevant studies (<xref ref-type="bibr" rid="ref21">Li et al., 2021</xref>; <xref ref-type="bibr" rid="ref36">Rahaman et al., 2022</xref>;<xref ref-type="bibr" rid="ref3">Cai and Li, 2024</xref>; <xref ref-type="bibr" rid="ref7">Fan et al., 2024</xref>; <xref ref-type="bibr" rid="ref45">Wang et al., 2024</xref>). Carbon dioxide emissions are greatly influenced by economic development; fast economic expansion frequently results in higher energy consumption and, consequently, higher carbon dioxide emissions, as measured by GDP (<xref ref-type="bibr" rid="ref40">Shi et al., 2019</xref>). Government intervention is a pivotal factor in impacting economic growth, industrial composition, and technological advancement and, consequently, carbon emissions. The ratio of fiscal expenditure to GDP is frequently used to evaluate the degree of government intervention (<xref ref-type="bibr" rid="ref32">Ma and Liu, 2021</xref>). The industrial sector is a major source of CO<sub>2</sub> emissions, and changes in industrial structure can have a large influence on carbon emissions (<xref ref-type="bibr" rid="ref40">Shi et al., 2019</xref>). Population has a considerable impact on carbon dioxide emissions, as there is a tight link between the two. The continuing rise of the population not only directly contributes to increasing energy consumption but also to higher carbon dioxide emissions (<xref ref-type="bibr" rid="ref22">Li et al., 2017</xref>). The industrial structure is assessed by calculating the ratio of the output value of the tertiary industry to that of the secondary industry (<xref ref-type="bibr" rid="ref23">Li et al., 2023</xref>). It is anticipated that carbon emission intensity will continue to decline as technology develops, which is essential for reducing total CO<sub>2</sub> emissions (<xref ref-type="bibr" rid="ref21">Li et al., 2021</xref>). The quantity of carbon emissions for each unit of economic production is shown by the carbon intensity decrease, which is computed as the ratio of total carbon emissions to GDP. A higher land use degree usually leads to larger construction land areas and greater carbon emissions. However, efficient and economical construction land use can reduce carbon dioxide emissions. The percentage of construction land to the entire land area is one metric used to evaluate the extent of land utilization (<xref ref-type="bibr" rid="ref41">Song et al., 2022</xref>).</p>
</sec>
<sec id="sec6">
<label>2.4</label>
<title>Research approach</title>
<sec id="sec7">
<label>2.4.1</label>
<title>Method of calculating carbon emissions</title>
<p>Direct carbon emission calculation method:</p>
<disp-formula id="E1">
<label>(1)</label>
<mml:math id="M1">
<mml:mi mathvariant="italic">&#x0395;&#x03BA;</mml:mi>
<mml:mo>=</mml:mo>
<mml:mo>&#x2211;</mml:mo>
<mml:mi mathvariant="italic">Ei</mml:mi>
<mml:mo>=</mml:mo>
<mml:mo>&#x2211;</mml:mo>
<mml:mi mathvariant="italic">Ti</mml:mi>
<mml:mo>&#x00D7;</mml:mo>
<mml:mi mathvariant="italic">&#x03B4;i</mml:mi>
</mml:math>
</disp-formula>
<p>where <italic>E<sub>k</sub></italic> is direct carbon emission; <italic>E<sub>i</sub></italic> represents the amount of carbon emissions produced in type <italic>i</italic> land; <italic>T<sub>i</sub></italic> stands for the total land area of type <italic>i</italic>; and <italic>&#x03B4;<sub>i</sub></italic> signifies the coefficient representing carbon emissions or absorption for land use type <italic>i</italic>. Based on prior research findings, the carbon emission (absorption) coefficients for different land use types were established as follows: cropland (0.422&#x202F;t/ha<sup>2</sup>.a) (<xref ref-type="bibr" rid="ref42">Sun et al., 2015</xref>; <xref ref-type="bibr" rid="ref58">Zhang et al., 2022</xref>), woodland (&#x2212;0.644&#x202F;t/ha<sup>2</sup>.a) (<xref ref-type="bibr" rid="ref42">Sun et al., 2015</xref>; <xref ref-type="bibr" rid="ref58">Zhang et al., 2022</xref>), grassland (&#x2212;0.021&#x202F;t/ha<sup>2</sup>.a) (<xref ref-type="bibr" rid="ref42">Sun et al., 2015</xref>; <xref ref-type="bibr" rid="ref58">Zhang et al., 2022</xref>), water (&#x2212;0.253&#x202F;t/ha<sup>2</sup>.a) (<xref ref-type="bibr" rid="ref42">Sun et al., 2015</xref>; <xref ref-type="bibr" rid="ref58">Zhang et al., 2022</xref>), and unused land (&#x2212;0.005&#x202F;t/ha<sup>2</sup>.a) (<xref ref-type="bibr" rid="ref42">Sun et al., 2015</xref>; <xref ref-type="bibr" rid="ref58">Zhang et al., 2022</xref>).</p>
<sec id="sec8">
<label>2.4.1.1</label>
<title>Indirect carbon emission calculation method</title>
<p>Energy consumption data and nighttime light data were utilized to indirectly estimate the carbon emissions from construction land in the provinces, prefecture-level cities, and counties of the YREB (<xref ref-type="bibr" rid="ref27">Liu et al., 2024b</xref>). The comprehensive calculation process is provided in <xref ref-type="supplementary-material" rid="SM1">Supplementary Appendix</xref>.</p>
</sec>
</sec>
<sec id="sec9">
<label>2.4.2</label>
<title>Global spatial autocorrelation analysis</title>
<p>The following is the formula:</p>
<disp-formula id="E2">
<label>(2)</label>
<mml:math id="M2">
<mml:mi>I</mml:mi>
<mml:mo>=</mml:mo>
<mml:mfrac>
<mml:mrow>
<mml:mi>n</mml:mi>
<mml:msubsup>
<mml:mo>&#x2211;</mml:mo>
<mml:mrow>
<mml:mi>i</mml:mi>
<mml:mo>=</mml:mo>
<mml:mn>1</mml:mn>
</mml:mrow>
<mml:mi>n</mml:mi>
</mml:msubsup>
<mml:msubsup>
<mml:mo>&#x2211;</mml:mo>
<mml:mrow>
<mml:mi>j</mml:mi>
<mml:mo>=</mml:mo>
<mml:mn>1</mml:mn>
</mml:mrow>
<mml:mi>n</mml:mi>
</mml:msubsup>
<mml:msub>
<mml:mi>w</mml:mi>
<mml:mi mathvariant="italic">ij</mml:mi>
</mml:msub>
<mml:mo stretchy="true">(</mml:mo>
<mml:msub>
<mml:mi>x</mml:mi>
<mml:mi>i</mml:mi>
</mml:msub>
<mml:mo>&#x2212;</mml:mo>
<mml:mover accent="true">
<mml:mi>x</mml:mi>
<mml:mo stretchy="true">&#x00AF;</mml:mo>
</mml:mover>
<mml:mo stretchy="true">)</mml:mo>
<mml:mo stretchy="true">(</mml:mo>
<mml:msub>
<mml:mi>x</mml:mi>
<mml:mi>j</mml:mi>
</mml:msub>
<mml:mo>&#x2212;</mml:mo>
<mml:mover accent="true">
<mml:mi>x</mml:mi>
<mml:mo stretchy="true">&#x00AF;</mml:mo>
</mml:mover>
<mml:mo stretchy="true">)</mml:mo>
</mml:mrow>
<mml:mrow>
<mml:msubsup>
<mml:mo>&#x2211;</mml:mo>
<mml:mrow>
<mml:mi>i</mml:mi>
<mml:mo>=</mml:mo>
<mml:mn>1</mml:mn>
</mml:mrow>
<mml:mi>n</mml:mi>
</mml:msubsup>
<mml:msubsup>
<mml:mo>&#x2211;</mml:mo>
<mml:mrow>
<mml:mi>j</mml:mi>
<mml:mo>=</mml:mo>
<mml:mn>1</mml:mn>
</mml:mrow>
<mml:mi>n</mml:mi>
</mml:msubsup>
<mml:msub>
<mml:mi>w</mml:mi>
<mml:mi mathvariant="italic">ij</mml:mi>
</mml:msub>
<mml:msubsup>
<mml:mo>&#x2211;</mml:mo>
<mml:mrow>
<mml:mi>i</mml:mi>
<mml:mo>=</mml:mo>
<mml:mn>1</mml:mn>
</mml:mrow>
<mml:mi>n</mml:mi>
</mml:msubsup>
<mml:msup>
<mml:mrow>
<mml:mo stretchy="true">(</mml:mo>
<mml:msub>
<mml:mi>x</mml:mi>
<mml:mi>i</mml:mi>
</mml:msub>
<mml:mo>&#x2212;</mml:mo>
<mml:mover accent="true">
<mml:mi>x</mml:mi>
<mml:mo stretchy="true">&#x00AF;</mml:mo>
</mml:mover>
<mml:mo stretchy="true">)</mml:mo>
</mml:mrow>
<mml:mn>2</mml:mn>
</mml:msup>
</mml:mrow>
</mml:mfrac>
</mml:math>
</disp-formula>
<p>where <italic>I</italic> is the global Moran&#x2019;s value; <italic>n</italic> stands for the quantity of study subjects; <italic>x<sub>i</sub></italic> and <italic>x<sub>j</sub></italic> are the desired genus traits&#x2019; values that were observed in the objects of study <italic>i</italic> and <italic>j</italic>; <italic>w<sub>ij</sub></italic> is the adjacent weight of objects <italic>i</italic> and <italic>j</italic>; and <inline-formula>
<mml:math id="M3">
<mml:mover accent="true">
<mml:mi>x</mml:mi>
<mml:mo stretchy="true">&#x21BC;</mml:mo>
</mml:mover>
</mml:math>
</inline-formula> represents the mean value of the attribute of the research object.</p>
</sec>
<sec id="sec10">
<label>2.4.3</label>
<title>Local spatial autocorrelation analysis</title>
<p>The following is the expression:</p>
<disp-formula id="E3">
<label>(3)</label>
<mml:math id="M4">
<mml:mi mathvariant="italic">Ii</mml:mi>
<mml:mo>=</mml:mo>
<mml:msubsup>
<mml:mi>x</mml:mi>
<mml:mi>i</mml:mi>
<mml:mo>'</mml:mo>
</mml:msubsup>
<mml:munderover>
<mml:mo movablelimits="false">&#x2211;</mml:mo>
<mml:mrow>
<mml:mi>j</mml:mi>
<mml:mo>=</mml:mo>
<mml:mn>1</mml:mn>
</mml:mrow>
<mml:mi>n</mml:mi>
</mml:munderover>
<mml:mi mathvariant="italic">wij</mml:mi>
<mml:msubsup>
<mml:mi>x</mml:mi>
<mml:mi>j</mml:mi>
<mml:mo>'</mml:mo>
</mml:msubsup>
</mml:math>
</disp-formula>
<p>where <italic>I<sub>i</sub></italic> is the local Moran index; <italic>x&#x2019;<sub>i</sub></italic> and <italic>x&#x2019;<sub>j</sub></italic> are unit observations that are standardized; and <italic>w<sub>ij</sub></italic> is the weight.</p>
</sec>
<sec id="sec11">
<label>2.4.4</label>
<title>Geographical detector</title>
<p>This study primarily utilizes two methods from the Geographical Detector: factor detection and interaction detection. The exact equation is as follows (<xref ref-type="bibr" rid="ref47">Wang and Xu, 2017</xref>):</p>
<disp-formula id="E4">
<label>(4)</label>
<mml:math id="M5">
<mml:mi mathvariant="normal">q</mml:mi>
<mml:mo>=</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>h</mml:mi>
<mml:mo>=</mml:mo>
<mml:mn>1</mml:mn>
</mml:mrow>
<mml:mi>L</mml:mi>
</mml:msubsup>
<mml:msub>
<mml:mi>N</mml:mi>
<mml:mi>h</mml:mi>
</mml:msub>
<mml:msubsup>
<mml:mi>&#x03C3;</mml:mi>
<mml:mi>h</mml:mi>
<mml:mn>2</mml:mn>
</mml:msubsup>
</mml:mrow>
<mml:mrow>
<mml:mi>N</mml:mi>
<mml:msup>
<mml:mi>&#x03C3;</mml:mi>
<mml:mn>2</mml:mn>
</mml:msup>
</mml:mrow>
</mml:mfrac>
</mml:math>
</disp-formula>
<p>Where <italic>q</italic> represents the explanatory power of the impact factor on LUCE; <italic>h</italic>&#x202F;=&#x202F;1,&#x2026;, <italic>L</italic> represents the categorization or zoning of LUCE impact factor X; <italic>N<sub>h</sub></italic> and <italic>N</italic> are the sample sizes for layer <italic>h</italic> and the study area; and the variances of Y values for layer <italic>h</italic> and the entire area are denoted as. The value of <italic>q</italic> ranges from [0,1], with larger values indicating stronger explanatory power of the influencing factor on LUCE.</p>
<p>The interaction detector is used to identify the interactions between different influencing factors, i.e., to assess whether the joint effect of two factors enhances or weakens the explanatory power of LUCE. The relationships between two factors include five types: nonlinear weakening, single-factor nonlinear weakening, two-factor enhancement, independence, and nonlinear enhancement.</p>
</sec>
<sec id="sec12">
<label>2.4.5</label>
<title>MGWR</title>
<p>The MGWR model is expressed as:</p>
<disp-formula id="E5">
<label>(5)</label>
<mml:math id="M6">
<mml:mi mathvariant="italic">yi</mml:mi>
<mml:mo>=</mml:mo>
<mml:mi>&#x03B2;</mml:mi>
<mml:mn>0</mml:mn>
<mml:mo stretchy="true">(</mml:mo>
<mml:mi mathvariant="italic">ui</mml:mi>
<mml:mo>,</mml:mo>
<mml:mi mathvariant="italic">vi</mml:mi>
<mml:mo stretchy="true">)</mml:mo>
<mml:mo>+</mml:mo>
<mml:msubsup>
<mml:mo>&#x2211;</mml:mo>
<mml:mrow>
<mml:mi>j</mml:mi>
<mml:mo>=</mml:mo>
<mml:mn>1</mml:mn>
</mml:mrow>
<mml:mi>k</mml:mi>
</mml:msubsup>
<mml:mtext mathvariant="italic">&#x03B2;bwj</mml:mtext>
<mml:mo stretchy="true">(</mml:mo>
<mml:mi mathvariant="italic">ui</mml:mi>
<mml:mo>,</mml:mo>
<mml:mi mathvariant="italic">vi</mml:mi>
<mml:mo stretchy="true">)</mml:mo>
<mml:mi mathvariant="italic">xij</mml:mi>
<mml:mo>+</mml:mo>
<mml:mi mathvariant="italic">&#x03B5;i</mml:mi>
</mml:math>
</disp-formula>
<p>where <italic>y<sub>i</sub></italic> is the explained variable of research area <italic>i</italic>, (<italic>u<sub>i</sub>, v<sub>i</sub></italic>) represents the central coordinate of position <italic>i</italic>, <italic>x<sub>ij</sub></italic> stands for the value of the <italic>j</italic>th impact factor in study area <italic>i</italic>, <italic>&#x03B2;</italic><sub>0</sub> is the intercept term, <italic>&#x03B5;<sub>i</sub></italic> is the error term, <italic>&#x03B2;<sub>bwj</sub></italic> (<italic>u<sub>i, vi</sub></italic>) is the local regression coefficient of the <italic>j</italic>th impact factor in study region <italic>i</italic>, and <italic>bwj</italic> stands for the bandwidth used by the regression coefficient of the <italic>j</italic>th impact factor.</p>
</sec>
</sec>
</sec>
<sec sec-type="results" id="sec13">
<label>3</label>
<title>Results</title>
<sec id="sec14">
<label>3.1</label>
<title>Land use change analysis</title>
<p>Significant variance was seen in land use types and change patterns over the whole YREB from 2000 to 2020. The most common land use categories were grassland, cropland, and woodland (<xref ref-type="fig" rid="fig2">Figure 2a</xref>). In general, cropland with grassland consistently decreased, while woodlands, water bodies, construction land, and unused land exhibited upward trends. Notably, among these changes, the shifts in cropland and construction land were particularly noteworthy. Cropland decreased from 638,558.68 to 607,027.86&#x202F;km<sup>2</sup>, marking a total reduction of 31,530.83&#x202F;km<sup>2</sup>. Conversely, construction land expanded from 52,107.04 to 84,604.74&#x202F;km<sup>2</sup>, representing a gain of 32,497.7&#x202F;km<sup>2</sup>. Woodlands, water, and unused land increased by 661.14, 2,142.44, and 269.34&#x202F;km<sup>2</sup>, respectively, while the grassland area remained under 4,039.80&#x202F;km<sup>2</sup>. According to Sankey&#x2019;s diagram (<xref ref-type="fig" rid="fig2">Figure 2b</xref>) illustrating land use transitions over different periods, cropland, primarily converted into construction land, emerged as the most significant land use transformation. This implies that a significant loss of cropland resources resulted from the YREB&#x2019;s fast urbanization.</p>
<fig position="float" id="fig2">
<label>Figure 2</label>
<caption>
<p>Land use change in the YREB.</p>
</caption>
<graphic xlink:href="frsc-07-1616652-g002.tif">
<alt-text content-type="machine-generated">Bar chart and Sankey diagram depicting land use changes from 2000 to 2020. The bar chart shows area and percentage changes in cropland, woodland, grassland, water, construction land, and unused land. The Sankey diagram illustrates the flow and transformation of these land use types across four periods: 2000-2005, 2005-2010, 2010-2015, and 2015-2020.</alt-text>
</graphic>
</fig>
</sec>
<sec id="sec15">
<label>3.2</label>
<title>Spatiotemporal evolution characteristics of the LUCE in the YREB</title>
<sec id="sec16">
<label>3.2.1</label>
<title>Time evolution characteristics</title>
<p>The overall LUCE (sum of the carbon sources and carbon sinks) in the YREB increased by nearly 3.04 times between 2000 and 2020 (<xref ref-type="fig" rid="fig3">Figure 3c</xref>), from 28434.32&#x202F;&#x00D7;&#x202F;10<sup>4</sup>&#x202F;t to 86,581.79&#x202F;&#x00D7;&#x202F;10<sup>4</sup>&#x202F;t. <xref ref-type="fig" rid="fig3">Figure 3a</xref> illustrates the variations in the carbon source structure of various land types. It is evident that the carbon source from construction land is much greater, surpassing 92%, while the carbon source from cropland is very low, making up less than 8%. While the YREB&#x2019;s construction land area grew between 2000 and 2020, the cropland area continued to decline. This shift led to a steady decrease in the percentage of carbon emissions from cropland, while the percentage from construction land progressively increased (<xref ref-type="fig" rid="fig3">Figure 3a</xref>). Carbon sinks serve a crucial function in carbon sequestration and regional carbon emissions. The YREB (<xref ref-type="fig" rid="fig3">Figure 3b</xref>) witnessed minimal variations in carbon sinks over the research period, with woodlands contributing to approximately 96% of the region&#x2019;s carbon sink capacity. Conversely, the combined amount of the other three land types accounted for around 4% of the carbon sink capacity of the area.</p>
<fig position="float" id="fig3">
<label>Figure 3</label>
<caption>
<p>Changes in the LUCE in the YREB.</p>
</caption>
<graphic xlink:href="frsc-07-1616652-g003.tif">
<alt-text content-type="machine-generated">Two bar charts and one bar graph depict land use and carbon metrics from 2000 to 2020. The first chart shows proportions of carbon sources by land use, with construction land in pink. The second chart shows proportions of carbon sinks, highlighting woodland in green. The graph below compares total carbon sources and sinks, showing increases over time, with LUCE in orange.</alt-text>
</graphic>
</fig>
</sec>
<sec id="sec17">
<label>3.2.2</label>
<title>Characteristics of spatial evolution</title>
<p>From 2000 to 2020 (<xref ref-type="fig" rid="fig4">Figures 4</xref>&#x2013;<xref ref-type="fig" rid="fig6">6</xref>), the LUCE in the YREB showed different characteristics of regional change. In general, they have &#x201C;high downstream and low upstream&#x201D; characteristics. At the provincial scale (<xref ref-type="fig" rid="fig4">Figure 4</xref>), Jiangsu and Zhejiang consistently ranked highest in terms of LUCE within the YREB. Notably, these two provinces are also prominent developed regions in China. Their rapid economic growth has been accompanied by an expansion of construction land and significant energy consumption, resulting in substantial carbon emissions. Consequently, Jiangsu and Zhejiang Provinces should be the YREB&#x2019;s primary emission reduction provinces. On the other hand, Yunnan, Jiangxi, and Guizhou reported the lowest LUCE. These provinces are less developed within China and are characterized by relatively underdeveloped economies and extensive woodland and grassland areas, which contribute to their lower LUCE.</p>
<fig position="float" id="fig4">
<label>Figure 4</label>
<caption>
<p>Spatial distribution of provincial LUCE in the YREB.</p>
</caption>
<graphic xlink:href="frsc-07-1616652-g004.tif">
<alt-text content-type="machine-generated">Five maps display the distribution of a numerical value across various provinces in China from 2000 to 2020. Provinces are colored in shades ranging from light to dark orange and red, indicating increasing values. A legend identifies value ranges associated with each color.</alt-text>
</graphic>
</fig>
<fig position="float" id="fig5">
<label>Figure 5</label>
<caption>
<p>Spatial distribution of prefecture LUCE in the YREB.</p>
</caption>
<graphic xlink:href="frsc-07-1616652-g005.tif">
<alt-text content-type="machine-generated">Five maps illustrate the spatial distribution of a variable across Chinese provinces from 2000 to 2020. Each map, labeled a.2000, b.2005, c.2010, d.2015, and e.2020, shows varying intensities of color from light to dark, representing different data ranges. The color scale indicates values from below zero to over 5579.27 in units of ten thousand. Provinces like Chongqing, Shanghai, and Jiangsu exhibit significant changes over time. Maps include provincial boundaries and a scale bar for distance reference.</alt-text>
</graphic>
</fig>
<fig position="float" id="fig6">
<label>Figure 6</label>
<caption>
<p>Spatial distribution of county-scale LUCE in the YREB.</p>
</caption>
<graphic xlink:href="frsc-07-1616652-g006.tif">
<alt-text content-type="machine-generated">Maps of China from 2000 to 2020, highlighting tonal changes in specific provinces: Jiangsu, Anhui, Shanghai, Zhejiang, Hubei, Hunan, Jiangxi, Sichuan, Chongqing, Guizhou, Yunnan. Colors range from light beige to dark brown, indicating varying data values on a scale from negative fifty five point five two to one thousand five hundred fifty eight point six seven. Provincial boundaries are marked, with a scale bar for distance reference.</alt-text>
</graphic>
</fig>
<p>At the prefecture scale (<xref ref-type="fig" rid="fig5">Figure 5</xref>), cities with high LUCE are primarily located in Jiangsu, Zhejiang, Shanghai, and Chongqing. Conversely, cities with lower LUCE scales are primarily located in Sichuan and Yunnan. Specifically, Shanghai, Chongqing, Suzhou, and Wuhan have the highest LUCE values, followed by Wuxi, Hangzhou, Ningbo, Changsha, Chengdu, Nanjing, Nantong, and Hefei. These cities should be the central focus of carbon emission reduction efforts within the YREB. When compared to the provincial scale, Jiangsu and Zhejiang have the highest LUCE values. The prefectural cities with the highest LUCE generally follow provincial trends but also show some variations within the same province.</p>
<p>At the county scale (<xref ref-type="fig" rid="fig6">Figure 6</xref>), there is a noticeable increase in areas with high LUCE values within the YREB. These areas are primarily concentrated in Zhejiang and Jiangsu Provinces, along with major cities such as Shanghai, Suzhou, Wuxi, Nantong, and others. These counties with higher LUCE scales are focal points for carbon emissions reduction within the YREB&#x2019;s county scale. The distribution of LUCE characteristics at the county scale in the YREB is similar to that at the provincial and prefectural scales, although there are notable internal differences.</p>
</sec>
</sec>
<sec id="sec18">
<label>3.3</label>
<title>Spatial correlation examination</title>
<p>From 2000 to 2020, the LUCE&#x2019;s global Moran&#x2019;s <italic>I</italic> values at the three administrative scales in the YREB are continuously positive (<xref ref-type="table" rid="tab1">Table 1</xref>). The <italic>Z</italic>-value exceeds 1.96, except for the provincial scales in 2005, 2010, and 2015, with the <italic>p</italic>-value at the 5% level being significant. These findings suggest a significant positive spatial correlation in the LUCE at all three administrative scales in the YREB. Between 2000 and 2020, there were significant fluctuations in the global Moran&#x2019;s <italic>I</italic> values for LUCE across different administrative scales. Specifically, at the provincial scale, the global Moran&#x2019;s <italic>I</italic> grew from 0.201 to 0.211, indicating a clear upward trend. Similarly, at the prefectural scale, the global Moran&#x2019;s <italic>I</italic> also showed an increasing trend, rising from 0.136 in 2000 to 0.161 in 2020. It is noteworthy that the increase in Moran&#x2019;s <italic>I</italic> at the provincial scale was more pronounced than that at the prefectural scale. Conversely, at the county scale, the global Moran&#x2019;s <italic>I</italic> showed a decreasing trend, declining from 0.561 in 2000 to 0.522 in 2020. This phenomenon may be attributed to the diversification of land use patterns among counties and the differences in policy implementation and development positioning. Some counties have significantly reduced carbon emissions due to the promotion of ecological protection and restoration projects, while others have experienced increased carbon emissions driven by urbanization and the expansion of construction land. This heterogeneity has weakened the spatial agglomeration at the county level. Meanwhile, during rapid urbanization, the relatively slower growth of carbon emissions in economically underdeveloped counties further diminishes the agglomeration effect. In contrast, the increase in the global Moran&#x2019;s index at the provincial and prefectural levels reflects the uniformity of macro-level policies and the convergence of industrial planning. At these scales, the development of low-carbon industries and regional coordination planning significantly enhance the spatial correlation of carbon emissions. Larger spatial units effectively smooth out local differences, resulting in a stronger spatial aggregation effect over broader areas. Overall, the spatiotemporal characteristics of land use carbon emissions exhibit significant scale effects, with the county level highlighting local heterogeneity more prominently.</p>
<table-wrap position="float" id="tab1">
<label>Table 1</label>
<caption>
<p>Global correlation analysis results.</p>
</caption>
<table frame="hsides" rules="groups">
<thead>
<tr>
<th/>
<th/>
<th align="left" valign="top">2000 year</th>
<th align="left" valign="top">2005 year</th>
<th align="left" valign="top">2010 year</th>
<th align="left" valign="top">2015 year</th>
<th align="left" valign="top">2020 year</th>
</tr>
</thead>
<tbody>
<tr>
<td align="left" valign="middle" rowspan="2">Provincial scale</td>
<td align="left" valign="middle">Moran&#x2019;s I</td>
<td align="left" valign="middle">0.201</td>
<td align="left" valign="middle">0.102</td>
<td align="left" valign="middle">0.067</td>
<td align="left" valign="middle">0.165</td>
<td align="left" valign="middle">0.211</td>
</tr>
<tr>
<td align="left" valign="middle">z</td>
<td align="left" valign="middle">1.979</td>
<td align="left" valign="middle">1.377</td>
<td align="left" valign="middle">1.038</td>
<td align="left" valign="middle">1.955</td>
<td align="left" valign="middle">2.155</td>
</tr>
<tr>
<td align="left" valign="middle" rowspan="2">Prefectural scale</td>
<td align="left" valign="middle">Moran&#x2019;s I</td>
<td align="left" valign="middle">0.136</td>
<td align="left" valign="middle">0.145</td>
<td align="left" valign="middle">0.114</td>
<td align="left" valign="middle">0.142</td>
<td align="left" valign="middle">0.161</td>
</tr>
<tr>
<td align="left" valign="middle">z</td>
<td align="left" valign="middle">3.237</td>
<td align="left" valign="middle">3.375</td>
<td align="left" valign="middle">3.102</td>
<td align="left" valign="middle">3.863</td>
<td align="left" valign="middle">3.941</td>
</tr>
<tr>
<td align="left" valign="middle" rowspan="2">County scale</td>
<td align="left" valign="middle">Moran&#x2019;s I</td>
<td align="left" valign="middle">0.561</td>
<td align="left" valign="middle">0.553</td>
<td align="left" valign="middle">0.545</td>
<td align="left" valign="middle">0.531</td>
<td align="left" valign="middle">0.522</td>
</tr>
<tr>
<td align="left" valign="middle">z</td>
<td align="left" valign="middle">34.024</td>
<td align="left" valign="middle">33.151</td>
<td align="left" valign="middle">32.929</td>
<td align="left" valign="middle">32.188</td>
<td align="left" valign="middle">30.373</td>
</tr>
</tbody>
</table>
<table-wrap-foot>
<p>Z&#x202F;&#x003E;&#x202F;1.96 indicates that the test has passed the 95% confidence level; Z&#x202F;&#x003E;&#x202F;2.58 indicates that the test has passed the 99% confidence level.</p>
</table-wrap-foot>
</table-wrap>
<p>Concerning local spatial autocorrelation, it is observed that at the provincial scale, the LUCE in the YREB lacks spatial agglomeration features. At the prefectural scale, there is no significant alteration in the spatial clustering pattern of the LUCE in the YREB (<xref ref-type="fig" rid="fig7">Figure 7</xref>). This pattern is characterized by High&#x2013;High (H&#x2013;H) and Low&#x2013;Low (L&#x2013;L) regional clustering, along with sporadic occurrences in High&#x2013;Low (H&#x2013;L) and Low&#x2013;High (L&#x2013;H) regions. In general, the H&#x2013;H agglomeration regions are concentrated in the lower Yangtze River region, encompassing Shanghai, Jiangsu, and Zhejiang provinces. L&#x2013;L agglomeration regions are primarily situated in Sichuan and Yunnan Provinces. L&#x2013;H regions are mostly located in Huzhou, Zhoushan, and Ziyang. These cities are mainly concentrated around cities with high LUCE, indicating that their LUCE is low but affected by the positive spillover effect of high-carbon areas. The main regions with H&#x2013;L characteristics are Chengdu and Chongqing, clustered predominantly around L&#x2013;L agglomeration areas, leading to significant carbon emissions that spill over into the low-value regions. The prefectural scale LUCE displays more pronounced regional agglomeration and spatial heterogeneity compared to the provincial level.</p>
<fig position="float" id="fig7">
<label>Figure 7</label>
<caption>
<p>LISA aggregation map of prefectural LUCE in the YREB.</p>
</caption>
<graphic xlink:href="frsc-07-1616652-g007.tif">
<alt-text content-type="machine-generated">Five maps show changes in regional significance in China from 2000 to 2020, with labeled provinces. Colors indicate significance levels: H-H (high-high) in orange, L-L (low-low) in blue, H-L (high-low) in pink, L-H (low-high) in dark blue, and not significant areas in white. Each map represents a different year: 2000, 2005, 2010, 2015, and 2020.</alt-text>
</graphic>
</fig>
<p>At the county level (<xref ref-type="fig" rid="fig8">Figure 8</xref>), the spatial clustering of the LUCE in the YREB exhibits no significant variation. They are characterized by H&#x2013;H and L&#x2013;L regional agglomeration, with sporadic instances of H&#x2013;L and L&#x2013;H distribution. From 2000 to 2020, regions with H&#x2013;H agglomeration were mostly concentrated in Zhejiang, Jiangsu, and Shanghai, and their numbers continued to grow. H&#x2013;H agglomeration regions were detected in the districts and counties of Wuhan, Changsha, Chongqing, and Chengdu. L&#x2013;L agglomeration areas were mostly found in Jiangxi, Yunnan, and Sichuan. Additionally, they were sparsely distributed in the central parts of Hubei and Hunan, with occasional appearances in the lower Yangtze River portions of Zhejiang. L&#x2013;H agglomeration regions are characterized by low LUCE values, although they are impacted by the favorable spillover effects of high-carbon areas. H&#x2013;L agglomeration regions are located around the L&#x2013;L agglomeration regions in the central reaches of Hunan, Hubei, and Jiangxi Provinces, and the upstream regions of Sichuan and Yunnan Provinces. Their high LUCE scales have a spillover impact on the L&#x2013;L agglomeration regions to some extent. The findings of the global Moran&#x2019;s <italic>I</italic> analysis are consistent with this, indicating that the spatial correlation of LUCE at the county level decreased throughout this time. In summary, the county level exhibits greater spatial heterogeneity and regional agglomeration characteristics compared to the prefectural scale.</p>
<fig position="float" id="fig8">
<label>Figure 8</label>
<caption>
<p>LISA aggregation map of county-scale LUCE in the YREB.</p>
</caption>
<graphic xlink:href="frsc-07-1616652-g008.tif">
<alt-text content-type="machine-generated">Map series showing spatial patterns in five-year intervals from 2000 to 2020. Each map indicates areas with high-high (H-H) and low-low (L-L) significance in orange and blue, respectively. Locations such as Sichuan, Hubei, and Shanghai are labeled. The legend includes categories: provincial boundaries, low-high (L-H), high-low (H-L), not significant, with scale bars indicating distance.</alt-text>
</graphic>
</fig>
</sec>
<sec id="sec19">
<label>3.4</label>
<title>Research on impact factors</title>
<p>Due to data availability and the limited number of provincial-scale samples, this study focuses exclusively on examining the factors influencing LUCE at the prefectural and county scales within the YREB for the years 2000, 2005, 2010, 2015, and 2020.</p>
<sec id="sec20">
<label>3.4.1</label>
<title>Geographical detector analysis results</title>
<sec id="sec21">
<label>3.4.1.1</label>
<title>Single factor detection characteristics at the prefectural scale</title>
<p>Using the GD package in R, the natural break classification method was applied to categorize the LUCE impact factors at the prefectural scale in the YREB for the years 2000, 2005, 2010, 2015, and 2020. The <italic>q</italic>-values of these factors were calculated, and the spatial scale with the optimal <italic>q</italic>-value was selected as the parameter for the geographic detector analysis. The significance test was passed by every detection factor, as seen in <xref ref-type="fig" rid="fig9">Figure 9a</xref>. In the results of the single-factor <italic>q</italic>-values for the LUCE influencing factors at the prefectural scale for the five periods in the YREB, economic development (X1) consistently had the highest <italic>q</italic>-values, ranging from 0.8128 to 0.9273, indicating that economic development is the most significant influencing factor with the greatest explanatory power over LUCE. Population (X3) had the second-highest <italic>q</italic>-values, from 0.6032 to 0.7579, with a relatively stable trend of initially decreasing and then increasing, suggesting that population size also has a strong explanatory power over LUCE at the prefecture level, with a certain level of stability. Government intervention (X2) showed a continuous increase in its <italic>q</italic>-values, from 0.1263 in 2000 to 0.2465 in 2020. Its explanatory power increased from 6th place in 2000 to 4th in 2005, where it remained at 4th position throughout the research period. Industrial structure (X4) had <italic>q</italic>-values ranging from 0.1300 to 0.1862, maintaining 5th or 6th place in terms of explanatory power, indicating that while industrial structure&#x2019;s explanatory power is relatively low compared to other factors, it remains stable over time. Carbon emission intensity (X5) exhibited a downward trend, with <italic>q</italic>-values ranging from 0.1246 to 0.2243, decreasing from 0.2243 in 2000 to 0.1336 in 2020. Its explanatory power dropped from 3rd place in 2000 to 5th in 2005 and 2010, and further declined to 6th place in 2015 and 2020, suggesting significant fluctuations and relative instability in its explanatory power compared to other factors. Land use degree (X6) showed a continuous increase in its <italic>q</italic>-values, ranging from 0.2005 to 0.4571, indicating that the explanatory power of land use degree on LUCE increased over the research period.</p>
<fig position="float" id="fig9">
<label>Figure 9</label>
<caption>
<p>Single-factor <italic>q</italic>-values of LUCE at different scales in the YREB.</p>
</caption>
<graphic xlink:href="frsc-07-1616652-g009.tif">
<alt-text content-type="machine-generated">Two bar charts compare variable values from 2000 to 2020. Chart (a) titled "Prefectural scale" and chart (b) titled "County scale" display six variables, X1 to X6, with varying heights. Each variable is represented by a different color, illustrating changes in values over the years.</alt-text>
</graphic>
</fig>
<p>From the perspective of the magnitude of each influencing factor in different periods, the <italic>q</italic>-values for the influencing factors in 2000 were ranked as follows: economic development (X1)&#x202F;&#x003E;&#x202F;population (X3)&#x202F;&#x003E;&#x202F;carbon emission intensity (X5)&#x202F;&#x003E;&#x202F;land use degree (X6)&#x202F;&#x003E;&#x202F;industrial structure (X4)&#x202F;&#x003E;&#x202F;government intervention (X2). In 2005, the <italic>q</italic>-values were ranked as: economic development (X1)&#x202F;&#x003E;&#x202F;population (X3)&#x202F;&#x003E;&#x202F;land use degree (X6)&#x202F;&#x003E;&#x202F;government intervention (X2)&#x202F;&#x003E;&#x202F;carbon emission intensity (X5)&#x202F;&#x003E;&#x202F;industrial structure (X4). In 2010, the ranking was: economic development (X1)&#x202F;&#x003E;&#x202F;population (X3)&#x202F;&#x003E;&#x202F;land use degree (X6)&#x202F;&#x003E;&#x202F;government intervention (X2)&#x202F;&#x003E;&#x202F;carbon emission intensity (X5)&#x202F;&#x003E;&#x202F;industrial structure (X4). In 2015, the ranking was: economic development (X1)&#x202F;&#x003E;&#x202F;population (X3)&#x202F;&#x003E;&#x202F;land use degree (X6)&#x202F;&#x003E;&#x202F;government intervention (X2)&#x202F;&#x003E;&#x202F;industrial structure (X4)&#x202F;&#x003E;&#x202F;carbon emission intensity (X5). In 2020, the ranking was: economic development (X1)&#x202F;&#x003E;&#x202F;population (X3)&#x202F;&#x003E;&#x202F;land use degree (X6)&#x202F;&#x003E;&#x202F;government intervention (X2)&#x202F;&#x003E;&#x202F;industrial structure (X4)&#x202F;&#x003E;&#x202F;carbon emission intensity (X5). The average strength of the influencing factors over the five periods is ranked as follows: economic development (X1)&#x202F;&#x003E;&#x202F;population (X3)&#x202F;&#x003E;&#x202F;land use degree (X6)&#x202F;&#x003E;&#x202F;government intervention (X2)&#x202F;&#x003E;&#x202F;carbon emission intensity (X5)&#x202F;&#x003E;&#x202F;industrial structure (X4).</p>
</sec>
<sec id="sec22">
<label>3.4.1.2</label>
<title>Single-factor detection characteristics at the county scale</title>
<p>All detection factors passed the significance test (<xref ref-type="fig" rid="fig9">Figure 9b</xref>). In the results of single-factor <italic>q</italic>-values for LUCE detection at the county scale in the YREB across five periods, economic development (X1) consistently had the highest q-values, ranging from 0.4318 to 0.6689. The q-value of economic development (X1) initially increased and then decreased, with a clear overall trend upward, arising from 0.4318 in 2000 to 0.6328 in 2020. This indicates that economic development (X1) has a high and continually increasing explanatory power for LUCE at the county scale in the YREB. The <italic>q</italic>-values of government intervention (X2) followed a trend similar to that of economic development (X1), with a pattern of initially increasing and then decreasing, but overall showing a significant rise from 0.1300 in 2000 to 0.2442 in 2020. The explanatory power of government intervention (X2) also increased during the study period, with its ranking rising from 5th in 2000 to 4th in 2010 and maintaining that ranking thereafter. The <italic>q</italic>-values of the population (X3) showed continuous growth during the study period, increasing from 0.2324 in 2000 to 0.4977 in 2020. The explanatory power of population (X3) also rose in ranking, from 4th in 2000 to 3rd in 2005, and further to 2nd in 2015. This indicates that the explanatory power of population on LUCE at the county scale significantly increased. The <italic>q</italic>-values of industrial structure (X4) ranged from 0.1016 to 0.1706, with the explanatory power consistently ranked 6th throughout the study period. This indicates that the industrial structure has relatively low but stable explanatory power for LUCE compared to other factors. The <italic>q</italic>-values of carbon emission intensity (X5) ranged from 0.1813 to 0.2833, exhibiting an overall downward trend. It decreased from 0.2243 in 2000 to 0.1966 in 2020. Its explanatory power also decreased from 3rd in 2000 to 4th in 2005 and continued to decline, ranking 6th in 2010, 2015, and 2020. This suggests that the explanatory power of carbon emission intensity for LUCE is diminishing relative to other factors. The <italic>q</italic>-values of land use intensity (X6) ranged from 0.3932 to 0.4127, with relatively stable changes, and the explanatory power ranked consistently between 2nd and 3rd. This indicates that land use intensity (X6) has a strong and stable explanatory power for LUCE.</p>
<p>In 2000, the <italic>q</italic>-values of the factors were ranked as: economic development (X1)&#x202F;&#x003E;&#x202F;land use intensity (X6)&#x202F;&#x003E;&#x202F;carbon emission intensity (X5)&#x202F;&#x003E;&#x202F;population (X3)&#x202F;&#x003E;&#x202F;government intervention (X2)&#x202F;&#x003E;&#x202F;industrial structure (X4). In 2005, the <italic>q</italic>-values were ranked as: economic development (X1)&#x202F;&#x003E;&#x202F;land use intensity (X6)&#x202F;&#x003E;&#x202F;population (X3)&#x202F;&#x003E;&#x202F;carbon emission intensity (X5)&#x202F;&#x003E;&#x202F;government intervention (X2)&#x202F;&#x003E;&#x202F;industrial structure (X4). In 2010, the <italic>q</italic>-values were ranked as: economic development (X1)&#x202F;&#x003E;&#x202F;land use intensity (X6)&#x202F;&#x003E;&#x202F;population (X3)&#x202F;&#x003E;&#x202F;government intervention (X2)&#x202F;&#x003E;&#x202F;carbon emission intensity (X5)&#x202F;&#x003E;&#x202F;industrial structure (X4). In 2015, the <italic>q</italic>-values were ranked as: economic development (X1)&#x202F;&#x003E;&#x202F;population (X3)&#x202F;&#x003E;&#x202F;land use intensity (X6)&#x202F;&#x003E;&#x202F;government intervention (X2)&#x202F;&#x003E;&#x202F;carbon emission intensity (X5)&#x202F;&#x003E;&#x202F;industrial structure (X4). In 2020, the ranking of the influencing factors remained the same as in 2015. The average <italic>q</italic>-values of the influencing factors over the five periods were ranked as: economic development (X1)&#x202F;&#x003E;&#x202F;land use intensity (X6)&#x202F;&#x003E;&#x202F;population (X3)&#x202F;&#x003E;&#x202F;carbon emission intensity (X5)&#x202F;&#x003E;&#x202F;government intervention (X2)&#x202F;&#x003E;&#x202F;industrial structure (X4).</p>
</sec>
<sec id="sec23">
<label>3.4.1.3</label>
<title>The dual-factor interaction results of LUCE at the prefectural scale</title>
<p>The types of interactions among the factors only included dual-factor enhancement and nonlinear enhancement. Throughout the study period, dual-factor enhancement was predominant, with relatively stable changes (<xref ref-type="fig" rid="fig10">Figure 10a</xref>). Overall, the interaction effect of dual factors was larger than the individual effects of the factors. The research results indicate that LUCE at the prefecture-level city scale in the YREB is not caused by a single factor but by the combined effects of multiple factors. During the study period, the interaction strength of economic development (X1) and population (X3) with other factors was greater than 0.5, suggesting that economic development (X1) and population (X3) are the main influencing factors of LUCE at the prefecture-level city scale in the YREB. Additionally, we found that the interaction between economic development (X1) and carbon emission intensity (X5) was the strongest. Therefore, it is crucial to completely take into account how economic development and technology advancement interact when creating emission reduction plans, since this may help ensure that these plans are implemented effectively.</p>
<fig position="float" id="fig10">
<label>Figure 10</label>
<caption>
<p>Dual-factor interaction detection of LUCE in the YREB.</p>
</caption>
<graphic xlink:href="frsc-07-1616652-g010.tif">
<alt-text content-type="machine-generated">Grid of nine heatmaps comparing factor enhancements at prefectural and county scales over five years: 2000, 2005, 2010, 2015, and 2020. Each heatmap displays variables X1 to X6 with q-Values. Colors range from light green to dark orange, indicating levels of enhancement. Asterisks denote significance levels, with two indicating bi-factor enhancement and three indicating non-linear enhancement. Heatmaps organized into two groups: a) Prefectural scale (top) and b) County scale (bottom), showing variations across different scales and years.</alt-text>
</graphic>
</fig>
</sec>
<sec id="sec24">
<label>3.4.1.4</label>
<title>The dual-factor interaction results of LUCE at the county scale</title>
<p>The types of factor interactions were limited to dual-factor enhancement and nonlinear enhancement, consistent with the results at the municipal scale. Throughout the study period, dual-factor enhancement predominated, showing relatively stable variation (<xref ref-type="fig" rid="fig10">Figure 10b</xref>). Overall, the interaction effects of dual factors were greater than the individual effects of single factors. In line with the findings at the prefectural scale, the results show that the variables affecting LUCE at the county scale in the YREB are not caused by a single factor but rather by the combined impacts of several factors. During the study period, the interaction strength between economic development (X1) and other factors was greater than 0.5, significantly exceeding the interactions between other factors, suggesting that economic development (X1) is the primary driver of LUCE at the county scale. Additionally, it was found that the interaction between economic development (X1) and carbon emission intensity (X5) was the most powerful, and in all five periods, this interaction exhibited a nonlinear enhancement type.</p>
</sec>
</sec>
<sec id="sec25">
<label>3.4.2</label>
<title>MGWR analysis results</title>
<p>Although the use of the Geodetector model determined the main impact factors of LUCE at the municipal and county scales in the YREB, the results are global and do not account for spatial location factors. Therefore, the MGWR model was further established to examine the local features of the influence of impact factors on LUCE. Significant factors were used as explanatory variables, and local spatial regression analysis of the impact factors for the year 2020 at both the prefectural and county administrative scales in the YREB was carried out to examine the spatial differences of the different impact factors.</p>
<sec id="sec26">
<label>3.4.2.1</label>
<title>Prefectural scale</title>
<p>All the factors under investigation have been tested for multicollinearity. To further assess the accuracy of the MGWR model, this study also established Ordinary Least Squares (OLS) and GWR models for comparative analysis with the MGWR model. The adjusted <italic>R</italic><sup>2</sup> of the standard OLS model is 0.965, the adjusted <italic>R</italic><sup>2</sup> of the GWR model is 0.975, and the adjusted <italic>R</italic><sup>2</sup> of the MGWR model is 0.987, as indicated by the findings in <xref ref-type="table" rid="tab2">Table 2</xref>. The MGWR model offers a better match than the other two models, as seen by its higher adjusted <italic>R</italic><sup>2</sup> value. The reason for selecting the adjusted <italic>R</italic><sup>2</sup> for comparison lies in its ability to more accurately reflect the goodness-of-fit of the model compared to the original <italic>R</italic><sup>2</sup>. Specifically, when the number of variables differs among models, the adjusted <italic>R</italic><sup>2</sup> effectively mitigates the artificial inflation of <italic>R</italic><sup>2</sup> caused by the inclusion of additional variables. This ensures a more objective evaluation of the model&#x2019;s performance. According to the AICc criterion, the AICc value of the MGWR model is smaller. The reason for using AICc lies in its ability to assess the goodness-of-fit of the model while incorporating a penalty term for model complexity, effectively mitigating the risk of overfitting. Compared to the traditional AIC, AICc is more suitable for small sample sizes, as its correction term better accounts for the influence of sample size on model selection. Therefore, adopting AICc as an evaluation criterion provides a more comprehensive balance between model fit and complexity, thereby enhancing the reliability of the results. This further indicates that the MGWR model demonstrates a certain level of robustness (<xref ref-type="bibr" rid="ref59">Zhao et al., 2015</xref>).</p>
<table-wrap position="float" id="tab2">
<label>Table 2</label>
<caption>
<p>Comparison of OLS, GWR, and MGWR regression results at the prefectural scale.</p>
</caption>
<table frame="hsides" rules="groups">
<thead>
<tr>
<th rowspan="2"/>
<th align="center" valign="top">Year</th>
<th align="center" valign="top" colspan="3">2020</th>
</tr>
<tr>
<th align="center" valign="middle">Model</th>
<th align="center" valign="middle">OLS</th>
<th align="center" valign="middle">GWR</th>
<th align="center" valign="middle">MGWR</th>
</tr>
</thead>
<tbody>
<tr>
<td rowspan="4"/>
<td align="center" valign="middle">AIC</td>
<td align="center" valign="middle">&#x2212;60.526</td>
<td align="center" valign="middle">&#x2212;145.927</td>
<td align="center" valign="middle">&#x2212;168.267</td>
</tr>
<tr>
<td align="center" valign="middle">AICc</td>
<td align="center" valign="middle">&#x2212;57.336</td>
<td align="center" valign="middle">&#x2212;125.546</td>
<td align="center" valign="middle">&#x2212;147.484</td>
</tr>
<tr>
<td align="center" valign="middle">R2</td>
<td align="center" valign="middle">0.967</td>
<td align="center" valign="middle">0.978</td>
<td align="center" valign="middle">0.99</td>
</tr>
<tr>
<td align="center" valign="middle">Adj. R2</td>
<td align="center" valign="middle">0.965</td>
<td align="center" valign="middle">0.975</td>
<td align="center" valign="middle">0.987</td>
</tr>
<tr>
<td align="center" valign="middle" rowspan="7">Variable bandwidth</td>
<td align="center" valign="middle">Economic development</td>
<td align="center" valign="middle" rowspan="7">&#x2013;</td>
<td align="center" valign="middle" rowspan="7">55</td>
<td align="center" valign="middle">43</td>
</tr>
<tr>
<td align="center" valign="middle">Population</td>
<td align="center" valign="middle">43</td>
</tr>
<tr>
<td align="center" valign="middle">Government intervention</td>
<td align="center" valign="middle">129</td>
</tr>
<tr>
<td align="center" valign="middle">Industrial structure</td>
<td align="center" valign="middle">43</td>
</tr>
<tr>
<td align="center" valign="middle">Carbon emission intensity</td>
<td align="center" valign="middle">43</td>
</tr>
<tr>
<td align="center" valign="middle">Land use intensity</td>
<td align="center" valign="middle">67</td>
</tr>
<tr>
<td align="center" valign="middle">Constant term</td>
<td align="center" valign="middle">44</td>
</tr>
</tbody>
</table>
</table-wrap>
<p>The geographical heterogeneity of the impact factor&#x2019;s effect decreases with increasing bandwidth and vice versa (<xref ref-type="bibr" rid="ref52">Yang and Li, 2022</xref>). By comparing the sizes of different bandwidths, this study found that, at the prefectural scale in 2020, the bandwidths for economic development, industrial structure, government intervention, population size, land use intensity, and carbon emission intensity were 43, 43, 129, 43, 67, and 43, respectively. The spatial heterogeneity of each influencing factor at the prefectural scale is ranked from largest to smallest as follows: economic development&#x202F;=&#x202F;industrial structure&#x202F;=&#x202F;population&#x202F;=&#x202F;carbon emission intensity &#x003E; land use intensity &#x003E; government intervention. Among these, government intervention exhibits a global scale effect with almost no spatial heterogeneity (<xref ref-type="table" rid="tab2">Table 2</xref>). These results suggest that at the prefectural scale, factors such as economic development, industrial structure, population size, and carbon emission intensity have strong spatial heterogeneity. This is because there are significant differences in the economic, industrial, and population characteristics among cities, leading to notable spatial variation. The bandwidth for land use intensity is 67, which is relatively large, indicating weaker spatial heterogeneity. This can be as a result of the minimal variations in land use among cities and the comparatively uniform land use rules and planning at the prefectural scale. The bandwidth for government intervention is the largest at 129, showing almost no spatial heterogeneity. This suggests that at the prefectural scale, government policies and interventions are more uniform, and there is generally a lack of significant spatial differences.</p>
<p>The following are the spatial distribution features of each impact factor&#x2019;s regression coefficients (<xref ref-type="fig" rid="fig11">Figure 11</xref>). The regression coefficients for economic development (0.591&#x2013;0.985) are consistently positive, indicating a positive influence on the LUCE. The regions with high regression coefficients are predominantly located in Jiangsu, Anhui, Hubei, Zhejiang, and Shanghai, while those with low regression coefficients are situated in Sichuan, Yunnan, and Guizhou. The degree of economic development is closely correlated with this trend. The industrial structure regression coefficients (&#x2212;0.174 to &#x2212;0.011) are all negative, demonstrating that industry structure has an inhibitory influence on LUCE at the prefectural scale. Cities located in Jiangsu Province, Shanghai, and Zhejiang, show a strong negative correlation, suggesting their relatively advanced economic development and successful transition from a &#x201C;231&#x201D; to a &#x201C;321&#x201D; industrial structure. In contrast, regions with weaker negative correlations are primarily found in cities in Sichuan and Yunnan. This might be attributed to the relatively underdeveloped urban economies in these areas, lower resource allocation efficiency, and slower growth of the tertiary sector, which hinders the maximization of carbon reduction benefits from industrial upgrading. The regression coefficients of government intervention (&#x2212;0.07 to &#x2212;0.061) are all negative, and their variation range is small, indicating that government intervention has an inhibitory effect on LUCE at the prefectural scale and that the effect is relatively consistent. The population factor regression coefficients (0.113&#x2013;0.290) are positive, demonstrating that the population has a positive influence on LUCE. The regions with high coefficients are mainly located in Jiangsu, Anhui, Hubei, and Chongqing, whereas the regions with low coefficients are primarily located in Jiangxi, Hunan, Sichuan, and Yunnan, which is essentially aligned with the distribution characteristics of the population. The regression coefficients for land use degree (0.009&#x2013;0.124) are positive, indicating that the expansion of construction land promotes carbon emissions from land use. Spatially, the expansion shows a general pattern of higher values in the central region and lower values on both sides. This is possibly due to the downstream areas being economically developed, where efficient and intensive land use practices have reduced carbon emissions. Meanwhile, the central region has further absorbed traditional industries from the upstream areas, leading to more construction land and higher carbon emissions. In contrast, the upstream regions have a less developed economy, limited construction land, and lower overall carbon emissions. Regions with higher regression coefficients are primarily located in Hunan, Jiangxi, and Hubei, while regions with lower coefficients are primarily found in Sichuan and Guizhou. Carbon emission intensity regression coefficients (0.052&#x2013;0.446) are all positive, showing that carbon emission intensity promotes the LUCE, and the overall performance is high in the east and low in the west. Potential explanations for this include the fact that although the eastern region&#x2019;s economy is advanced and technical advancements have continued to lower carbon intensity, the region&#x2019;s high energy consumption means that overall carbon emissions remain high. This situation compensates for the reduced impact of lower carbon emission intensity. Central and western regions, in comparison, exhibit lower economic development, a relatively uniform industrial structure, and limited technological advancement, leading to increased carbon emission intensity. However, due to lower total carbon emissions in these regions, the influence of carbon emission intensity on overall carbon emissions is less pronounced compared to the eastern region on the whole, economic development, population size, land use degree, and carbon emission intensity can promote LUCE. while industrial structure and government intervention can inhibit LUCE.</p>
<fig position="float" id="fig11">
<label>Figure 11</label>
<caption>
<p>Spatial distribution of regression coefficients of impact factor at the prefectural scale in 2020.</p>
</caption>
<graphic xlink:href="frsc-07-1616652-g011.tif">
<alt-text content-type="machine-generated">Six maps of China show spatial distributions across six metrics: economic development, industrial structure, government intervention, population size, land use degree, and carbon intensity. Each map uses a gradient color scale from light to dark orange to represent different value ranges for each metric across provinces such as Jiangsu, Anhui, Shanghai, Zhejiang, and others, with a north indicator and scale bar.</alt-text>
</graphic>
</fig>
</sec>
<sec id="sec27">
<label>3.4.2.2</label>
<title>County scale</title>
<p>The results at the county scale show that in 2020, the bandwidths for economic development, industrial structure, government intervention, population, land use degree, and carbon emission intensity were 43, 271, 68, 61, 71, and 47, respectively. At the county level, the spatial heterogeneity of various influencing factors in the YREB, from large to small, is as follows: economic development &#x003E; carbon emission intensity &#x003E; population &#x003E; government intervention &#x003E; land use degree &#x003E; industrial structure (<xref ref-type="table" rid="tab3">Table 3</xref>). Due to notable variations in economic development levels among various county units, which directly affect carbon emissions, economic development exhibits the greatest geographical heterogeneity. Carbon emission intensity ranks second, exhibiting substantial spatial heterogeneity due to multiple factors such as energy efficiency and technological level.</p>
<table-wrap position="float" id="tab3">
<label>Table 3</label>
<caption>
<p>Comparison of OLS, GWR, and MGWR regression results at the county scale.</p>
</caption>
<table frame="hsides" rules="groups">
<thead>
<tr>
<th rowspan="2"/>
<th align="center" valign="top">Year</th>
<th align="center" valign="top" colspan="3">2020</th>
</tr>
<tr>
<th align="center" valign="middle">Modle</th>
<th align="center" valign="middle">OLS</th>
<th align="center" valign="middle">GWR</th>
<th align="center" valign="middle">MGWR</th>
</tr>
</thead>
<tbody>
<tr>
<td rowspan="4"/>
<td align="center" valign="middle">AIC</td>
<td align="center" valign="middle">1386.669</td>
<td align="center" valign="middle">118.391</td>
<td align="center" valign="middle">36.31</td>
</tr>
<tr>
<td align="center" valign="middle">AICc</td>
<td align="center" valign="middle">1388.805</td>
<td align="center" valign="middle">212.511</td>
<td align="center" valign="middle">203.223</td>
</tr>
<tr>
<td align="center" valign="middle">R<sup>2</sup></td>
<td align="center" valign="middle">0.789</td>
<td align="center" valign="middle">0.955</td>
<td align="center" valign="middle">0.963</td>
</tr>
<tr>
<td align="center" valign="middle">Adj. R<sup>2</sup></td>
<td align="center" valign="middle">0.787</td>
<td align="center" valign="middle">0.945</td>
<td align="center" valign="middle">0.951</td>
</tr>
<tr>
<td align="center" valign="middle" rowspan="7">Variable bandwidth</td>
<td align="center" valign="middle">Economic development</td>
<td align="center" valign="middle" rowspan="7">&#x2013;</td>
<td align="center" valign="middle" rowspan="7">58</td>
<td align="center" valign="middle">43</td>
</tr>
<tr>
<td align="center" valign="middle">population</td>
<td align="center" valign="middle">61</td>
</tr>
<tr>
<td align="center" valign="middle">Government intervention</td>
<td align="center" valign="middle">68</td>
</tr>
<tr>
<td align="center" valign="middle">Industrial structure</td>
<td align="center" valign="middle">271</td>
</tr>
<tr>
<td align="center" valign="middle">Carbon emission intensity</td>
<td align="center" valign="middle">47</td>
</tr>
<tr>
<td align="center" valign="middle">Land use degree</td>
<td align="center" valign="middle">71</td>
</tr>
<tr>
<td align="center" valign="middle">Constant term</td>
<td align="center" valign="middle">106</td>
</tr>
</tbody>
</table>
</table-wrap>
<p>The spatial distribution features of each impact factor&#x2019;s regression coefficients are as follows (<xref ref-type="fig" rid="fig12">Figure 12</xref>): the economic development regression coefficients (0.197&#x2013;1.362) are all positive, demonstrating that economic growth promotes LUCE at the county scale. The provinces with the highest regression coefficients are Anhui, Hubei, and Hunan, whereas the provinces with the lowest regression coefficients are Jiangxi, Guizhou, and Sichuan. Most districts and counties in Zhejiang, Shanghai, and Jiangsu have lower economic regression coefficients than the prefectural scale, indicating that economic green growth is simpler to achieve at the county scale. The regression coefficient of industrial structure (&#x2212;0.22 to 0.057) is positive and negative, indicating a negative correlation in general. The negative zone is mainly located in the provinces of the Yangtze River&#x2019;s upper and middle reaches, while the positive zone is primarily situated in Yunnan, Sichuan, and Guizhou. Compared to the prefectural scale, the impact of industrial structure on carbon emissions may show a longer delay at the county scale. Government intervention has a positive and negative regression coefficient (&#x2212;1.376 to 0.064), and total performance has a negative correlation, showing that government involvement has an inhibitory influence on LUCE. The positive values observed in a few districts and counties could be explained by the orientation of government intervention in fiscal budget expenditure. This orientation may lead to the clustering of similar enterprises and even duplication of construction, resulting in increased carbon emissions. This suggests that government intervention is more likely to have a negative effect at the county scale. The regression coefficients for population factors (ranging from 0.001 to 0.511) were consistently positive, with high-value areas concentrated primarily in upstream Jiangsu, Shanghai, Zhejiang, Hubei, and Sichuan. The regression coefficient of land use degree (&#x2212;0.257 to 0.563) was positive, and the negative area was mainly concentrated in upstream Jiangsu, Anhui, Shanghai, Zhejiang, and downstream Sichuan. Compared with the prefectural scale, the inhibitory effect of intensive LUCE was better reflected at the county scale. The carbon emission intensity regression coefficients (0.004&#x2013;2.422) are all positive, and overall performance is high in the east and low in the west, which is similar to the prefectural scale distribution. Overall, economic growth, population, land use degree, and carbon emission intensity promote LUCE, but the industrial structure and government intervention limit LUCE, consistent with the prefectural scale.</p>
<fig position="float" id="fig12">
<label>Figure 12</label>
<caption>
<p>Spatial distribution of regression coefficients of each impact factor at the county scale in 2020.</p>
</caption>
<graphic xlink:href="frsc-07-1616652-g012.tif">
<alt-text content-type="machine-generated">Six colored maps depict various factors across Chinese provinces: economic development (a), industrial structure (b), government intervention (c), population size (d), land use degree (e), and carbon intensity (f). Each map uses different shades of orange to represent varying levels of each factor and includes a labeled scale for reference. Geographic locations such as Sichuan, Chongqing, Hubei, Anhui, and others are marked for orientation. Each map includes a directional arrow pointing north and a distance scale.</alt-text>
</graphic>
</fig>
</sec>
</sec>
</sec>
</sec>
<sec sec-type="discussion" id="sec28">
<label>4</label>
<title>Discussion</title>
<p>China&#x2019;s administrative divisions are hierarchical, comprising provinces with numerous prefectural cities and prefectural units encompassing multiple county-scale entities (<xref ref-type="bibr" rid="ref24">Liao and Shi, 2022</xref>). Research has indicated that a single administrative scale cannot effectively represent spatial patterns at other scales (<xref ref-type="bibr" rid="ref31">Ma et al., 2016</xref>). Thus, it is essential to study the temporal and spatial characteristics, along with the impact factors, of the LUCE at various administrative scales. Based on this, our study focuses on the YREB as our research area. We investigate the spatiotemporal characteristics of LUCE across three administrative scales: province, prefectural city, and county. To explore the impact factors at the prefectural and county scales.</p>
<sec id="sec29">
<label>4.1</label>
<title>Spatiotemporal evolution of the LUCE in the YREB at different scales</title>
<p>The YREB&#x2019;s considerable increase in LUCE from 2000 to 2020 was mostly caused by the expansion of construction land that contributes to carbon emissions. The period between 2000 and 2010 saw rapid growth (<xref ref-type="fig" rid="fig3">Figure 3</xref>), fueled by an extensive development model and the expansion of construction land. However, growth slowed from 2010 to 2020, influenced by the 2012 ecological civilization construction plan and subsequent sustainable development policies (<xref ref-type="bibr" rid="ref25">Lin, 2018</xref>). Despite the slowdown, urbanization and construction land expansion persist, leading to a continued rise in LUCE.</p>
<p>The spatial distribution of the LUCE in the YREB can be summarized as higher in the lower reaches and lower in the upper reaches. The downstream provinces in the YREB, such as Zhejiang, Jiangsu, and Shanghai, are economically developed and experience rapid infrastructure development, accompanied by significant human activity, substantial energy consumption, and the ongoing growth of construction land (<xref ref-type="bibr" rid="ref46">Wang and Shao, 2023</xref>). Simultaneously, the ongoing reduction in cropland, woodlands, and grasslands leads to the LUCE&#x2019;s growth. In contrast, the upstream region, with slower urbanization and larger woodlands, grasslands, and carbon sequestration capacity (<xref ref-type="bibr" rid="ref29">Luo et al., 2022</xref>), exhibits lower LUCE. However, the middle and upper reaches experience increasing LUCE, attributed to &#x201C;Western development,&#x201D; &#x201C;One Belt, One Road&#x201D; initiatives, and the relocation of high-emission enterprises (<xref ref-type="bibr" rid="ref43">Tian et al., 2019</xref>).</p>
<p>County-scale LUCE in the YREB demonstrates stronger spatial autocorrelation, indicating that smaller administrative units are prone to prominent spatial clustering patterns for LUCE (<xref ref-type="bibr" rid="ref40">Shi et al., 2019</xref>). Local spatial autocorrelation analysis indicates that the provincial administrative scale lacks significant spatial agglomeration, possibly due to a limited number of samples. The prefectural scale exhibits positive spatial agglomeration, while the county administrative scale shows even more significant positive spatial agglomeration than the prefectural scale. Overall, the county scale in the YREB demonstrates stronger spatial heterogeneity and regional agglomeration features compared to the other two administrative scales. The primary reasons for the observed results lie in the differences in spatial unit division and socio-economic driving factors across various administrative scales. At the provincial scale, the relatively large administrative unit size often conceals internal variations in land use. The prefectural scale, situated between the provincial and county scales, provides a better representation of land use differences and their connections to regional economic activities, while also revealing heterogeneity that remains undetected at the provincial scale. In contrast, the county scale focuses on smaller spatial units, capturing local characteristics of land use changes, population distribution, and economic activities more comprehensively. This allows for a more pronounced observation of spatial heterogeneity and agglomeration effects. Consequently, land use carbon emissions exhibit distinct spatial heterogeneity across different administrative scales.</p>
</sec>
<sec id="sec30">
<label>4.2</label>
<title>Impact factors of the LUCE in the YREB at different scales</title>
<p>Economic development is the primary determinant of LUCE at the prefectural and county levels in the YREB, according to the findings of the geographic detector study. This result is in line with previous studies showing that the main driver of the rise in carbon emissions in Chinese cities has always been economic development (<xref ref-type="bibr" rid="ref13">Guan et al., 2018</xref>; <xref ref-type="bibr" rid="ref60">Zheng et al., 2020</xref>). The main cause for this result is that rapid local economic growth mainly stems from infrastructure construction and industrial upgrading. Meanwhile, infrastructure development and industrial upgrading also affect regional energy consumption and carbon emissions. With the advancement of urbanization, the urban agglomeration effect further strengthens the driving force behind local economic development, creating a virtuous cycle. This cyclical mechanism leads to the continuous interaction between economic development, industrial upgrading, and urbanization, promoting rapid regional economic growth. However, as economic activities increase, carbon emissions also show a noticeable accumulation trend, particularly in regions with rapid economic development, where the growth in carbon emissions is especially prominent.</p>
<p>Apart from economic development, other influencing factors also show different characteristics at different administrative scales. Specifically, at the prefectural scale, the importance of influencing factors is ranked as follows: population, land use degree, government intervention, industrial structure, and carbon emission intensity. At the county scale, the ranking is: land use degree, population, carbon emission intensity, government intervention, and industrial structure. The differences in the intensity ranking of influencing factors across scales highlight the impact of scale effects on carbon emissions. The differences in the ranking of carbon emission influencing factors across administrative scales essentially reflect the scale effect, meaning that the importance of these factors varies with scale due to differences in spatial and social contexts. This effect highlights the regional heterogeneity and the necessity of tailoring policies to local conditions, indicating that emission reduction strategies should be precisely designed according to the specific circumstances of each region. An examination of the two-factor interaction reveals that it takes the form of two-factor enhancement and nonlinear enhancement at both scales. This implies that the combined activity of several factors influences LUCE, with the two-factor interaction having a greater effect than the effects of the individual elements. A thorough analysis of the interplay between variables should be taken into account while developing emission reduction strategies.</p>
<p>The MGWR model is utilized to investigate the influencing variables of LUCE at the prefectural and county scales in the YREB in 2020 in order to better assess the local characteristics of the influencing factors on LUCE while taking spatial aspects into account. Applying the MGWR model in 2020 at the prefectural and county scales, economic development, population size, industrial structure, and carbon emission intensity exhibit similar bandwidths with pronounced spatial heterogeneity. Land use intensity followed, while government intervention manifested as a global feature, with minimal spatial heterogeneity. However, at the county scale, the bandwidths of impact factors demonstrated certain spatial heterogeneity, with no single dominant global factor. The degree of spatial heterogeneity decreased in the order of economic development &#x003E; carbon intensity &#x003E; population size &#x003E; government intervention &#x003E; land use intensity &#x003E; industrial structure. This indicates that different impact factors show different spatial heterogeneity on the same research scale, and the same impact factors would also show different spatial heterogeneity due to different research scales. Comparing impact factor coefficient ranges between prefectural and county scales reveals that the county scale exhibits greater variability, emphasizing its stronger spatial heterogeneity in contrast with the prefectural scale. Comparing the coefficient ranges of the same impact factors between the prefectural and county scales, we found that the county scale showed larger variations than the prefectural scale. This is mainly because, in comparison to the prefectural scale, different counties have significant geographic, economic, and social differences, which, at the county scale, lead to a noticeable regional variability in the LUCE affecting factors.</p>
</sec>
<sec id="sec31">
<label>4.3</label>
<title>Policy implications</title>
<p>The study&#x2019;s findings are critical for the government in developing more accurate emission reduction plans and measures for the YREB. Based on this, the following three recommendations are made in this study. First, county-scale carbon emission management: because the spatial heterogeneity of factors affecting LUCE at the county scale is high, the government should prioritize county-scale carbon emission control. To address the carbon emission challenges effectively, tailored policies and measures must be developed, taking into account the unique characteristics and issues specific to various county-scale regions. This may involve the implementation of strategies like promoting low-carbon agriculture, enhancing ecological preservation efforts, and advancing renewable energy initiatives in high-carbon emission counties. Additionally, providing comprehensive support through carbon emission monitoring and technological assistance is essential. Second, urban planning and carbon emission reduction should be integrated. As economic growth drives LUCE, the government must integrate carbon emission reduction into urban planning. This requires adopting low-carbon urban planning, setting carbon reduction targets, and fostering economic development while coordinating carbon emissions effectively. This might involve encouraging the use of clean energy, encouraging sustainable mobility, enhancing urban land planning, and enhancing the monitoring and control of carbon emissions. By combining urban planning and carbon emission management, a win-win scenario of economic expansion and carbon emission reduction may be realized. Finally, interregional cooperation should be strengthened. LUCE at different scales in the YREB have differing spatial heterogeneity, implying that interregional differences must be addressed and resolved. To jointly address carbon emission challenges, governments can promote interregional collaboration and cooperation as well as share experience and technology through cross-regional cooperation mechanisms. Additionally, the government can enhance interregional policy coordination and formulate integrated carbon emission management policies. This will facilitate coordinated development and optimize carbon emission reduction across diverse YREB regions.</p>
</sec>
<sec id="sec32">
<label>4.4</label>
<title>Limitations and future research</title>
<p>In this paper, we examined the spatiotemporal traits of LUCE in YREB provinces, prefectural cities, and counties. We also evaluated the LUCE-affecting elements at the county and prefectural levels, which led to important findings. Nevertheless, the following restrictions are present: (1) Because most energy data at the prefectural and county scales are unavailable, the energy carbon emission data estimated at the prefectural and county scales must be checked and examined further. (2) As impact factors, only economic development, industrial structure, government interference, population size, land use degree, and carbon emission intensity are examined. However, because LUCE is a complicated process with numerous impact components, other driving forces and internal processes need to be studied further.</p>
</sec>
</sec>
<sec sec-type="conclusion" id="sec33">
<label>5</label>
<title>Conclusion</title>
<p>This study marks the inaugural assessment of LUCE in the YREB at the provincial, prefectural, and county scales. It delves into the spatiotemporal evolution variations of LUCE at these administrative scales and employs the MGWR model to scrutinize impact factors at the prefectural and county scales. The following are the resulting conclusions:</p>
<p>LUCE grew in the YREB from 2000 to 2020, growing at a greater pace from 2000 to 2010 and then noticeably slowing down between 2010 and 2020. The change in the administrative scale affects the spatiotemporal change in the LUCE. At different administrative scales within the YREB, there was a notable positive spatial correlation. The global Moran&#x2019;s <italic>I</italic> displayed varying trends, with LUCE in the YREB showing a greater concentration at the provincial and prefectural scales while becoming more dispersed at the county scale. Based on local spatial autocorrelation analysis, the LUCE in the YREB did not exhibit significant spatial clustering at the provincial administrative scale. However, they did demonstrate spatial clustering at the prefectural and county scales. Specifically, the H-H and L-L types were the primary clustering patterns at the prefectural and county scales, with the county scale showing stronger clustering characteristics and spatial heterogeneity. Impact factors exhibited varying effects on spatial patterns at both the prefecture and county scales. Economic growth had the greatest influence on LUCE in both tiers. However, the impacts of industrial structure, population size, government intervention, and land use degree diverged between these administrative scales.</p>
</sec>
</body>
<back>
<sec sec-type="data-availability" id="sec34">
<title>
<sup>Data availability statement</sup>
</title>
<p>The original contributions presented in the study are included in the article/<xref ref-type="supplementary-material" rid="SM1">Supplementary material</xref>, further inquiries can be directed to the corresponding author.</p>
</sec>
<sec sec-type="author-contributions" id="sec35">
<title>Author contributions</title>
<p>CL: Methodology, Data curation, Writing &#x2013; original draft, Visualization, Conceptualization, Software, Investigation, Writing &#x2013; review &#x0026; editing, Formal analysis. XW: Data curation, Writing &#x2013; original draft, Validation, Formal analysis, Methodology, Conceptualization, Investigation, Software, Supervision. HL: Investigation, Formal analysis, Software, Data curation, Conceptualization, Methodology, Writing &#x2013; review &#x0026; editing.</p>
</sec>
<sec sec-type="funding-information" id="sec36">
<title>Funding</title>
<p>The author(s) declare that financial support was received for the research and/or publication of this article. This work was supported by Postdoctoral Special Project of Anhui Jianzhu University (Grant No. 2025QDHR02).</p>
</sec>
<sec sec-type="COI-statement" id="sec37">
<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="sec38">
<title>Generative AI statement</title>
<p>The authors declare that no Gen AI was used in the creation of this manuscript.</p>
</sec>
<sec sec-type="disclaimer" id="sec39">
<title>Publisher&#x2019;s note</title>
<p>All claims expressed in this article are solely those of the authors and do not necessarily represent those of their affiliated organizations, or those of the publisher, the editors and the reviewers. Any product that may be evaluated in this article, or claim that may be made by its manufacturer, is not guaranteed or endorsed by the publisher.</p>
</sec>
<sec sec-type="supplementary-material" id="sec40">
<title>Supplementary material</title>
<p>The Supplementary material for this article can be found online at: <ext-link xlink:href="https://www.frontiersin.org/articles/10.3389/frsc.2025.1616652/full#supplementary-material" ext-link-type="uri">https://www.frontiersin.org/articles/10.3389/frsc.2025.1616652/full#supplementary-material</ext-link></p>
<supplementary-material xlink:href="Data_Sheet_1.pdf" id="SM1" mimetype="application/pdf" xmlns:xlink="http://www.w3.org/1999/xlink"/>
</sec>
<fn-group>
<fn id="fn0001"><p><sup>1</sup><ext-link xlink:href="https://www.resdc.cn/" ext-link-type="uri">https://www.resdc.cn/</ext-link></p></fn>
<fn id="fn0002"><p><sup>2</sup><ext-link xlink:href="https://landscan.ornl.gov/" ext-link-type="uri">https://landscan.ornl.gov/</ext-link></p></fn>
</fn-group>
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