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<journal-meta>
<journal-id journal-id-type="publisher-id">Front. Environ. Sci.</journal-id>
<journal-title>Frontiers in Environmental Science</journal-title>
<abbrev-journal-title abbrev-type="pubmed">Front. Environ. Sci.</abbrev-journal-title>
<issn pub-type="epub">2296-665X</issn>
<publisher>
<publisher-name>Frontiers Media S.A.</publisher-name>
</publisher>
</journal-meta>
<article-meta>
<article-id pub-id-type="publisher-id">1636744</article-id>
<article-id pub-id-type="doi">10.3389/fenvs.2025.1636744</article-id>
<article-categories>
<subj-group subj-group-type="heading">
<subject>Environmental Science</subject>
<subj-group>
<subject>Original Research</subject>
</subj-group>
</subj-group>
</article-categories>
<title-group>
<article-title>Zoning of urban territorial spaces: evaluating socio-economic-ecological low-carbon development efficiency in Xuzhou, China</article-title>
<alt-title alt-title-type="left-running-head">Liu et al.</alt-title>
<alt-title alt-title-type="right-running-head">
<ext-link ext-link-type="uri" xlink:href="https://doi.org/10.3389/fenvs.2025.1636744">10.3389/fenvs.2025.1636744</ext-link>
</alt-title>
</title-group>
<contrib-group>
<contrib contrib-type="author">
<name>
<surname>Liu</surname>
<given-names>Pin</given-names>
</name>
<xref ref-type="aff" rid="aff1">
<sup>1</sup>
</xref>
<xref ref-type="aff" rid="aff2">
<sup>2</sup>
</xref>
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<contrib contrib-type="author" corresp="yes">
<name>
<surname>Ji</surname>
<given-names>Xiang</given-names>
</name>
<xref ref-type="aff" rid="aff1">
<sup>1</sup>
</xref>
<xref ref-type="corresp" rid="c001">&#x2a;</xref>
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<contrib contrib-type="author">
<name>
<surname>Wang</surname>
<given-names>Dong</given-names>
</name>
<xref ref-type="aff" rid="aff3">
<sup>3</sup>
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<contrib contrib-type="author">
<name>
<surname>Jiang</surname>
<given-names>Deping</given-names>
</name>
<xref ref-type="aff" rid="aff1">
<sup>1</sup>
</xref>
<xref ref-type="aff" rid="aff3">
<sup>3</sup>
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<contrib contrib-type="author" corresp="yes">
<name>
<surname>Hong</surname>
<given-names>Xiaochun</given-names>
</name>
<xref ref-type="aff" rid="aff4">
<sup>4</sup>
</xref>
<xref ref-type="corresp" rid="c001">&#x2a;</xref>
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<aff id="aff1">
<sup>1</sup>
<institution>School of Mechanics and Civil Engineering, China University of Mining and Technology</institution>, <addr-line>Xuzhou</addr-line>, <addr-line>Jiangsu</addr-line>, <country>China</country>
</aff>
<aff id="aff2">
<sup>2</sup>
<institution>School of Environmental Engineering, Xuzhou University of Technology</institution>, <addr-line>Xuzhou</addr-line>, <addr-line>Jiangsu</addr-line>, <country>China</country>
</aff>
<aff id="aff3">
<sup>3</sup>
<institution>Jiangsu Collaborative Innovation Center for Building Energy Saving and Construction Technology, Jiangsu Vocational Institute of Architectural Technology</institution>, <addr-line>Xuzhou</addr-line>, <addr-line>Jiangsu</addr-line>, <country>China</country>
</aff>
<aff id="aff4">
<sup>4</sup>
<institution>College of Architecture Science and Engineering, Yangzhou University</institution>, <addr-line>Yangzhou</addr-line>, <addr-line>Jiangsu</addr-line>, <country>China</country>
</aff>
<author-notes>
<fn fn-type="edited-by">
<p>
<bold>Edited by:</bold> <ext-link ext-link-type="uri" xlink:href="https://loop.frontiersin.org/people/493603/overview">Maria Alzira Pimenta Dinis</ext-link>, University Fernando Pessoa UFP, Portugal</p>
</fn>
<fn fn-type="edited-by">
<p>
<bold>Reviewed by:</bold> <ext-link ext-link-type="uri" xlink:href="https://loop.frontiersin.org/people/3125181/overview">Qingqing Cao</ext-link>, Shandong Jianzhu University, China</p>
<p>
<ext-link ext-link-type="uri" xlink:href="https://loop.frontiersin.org/people/3150553/overview">Weihao Shi</ext-link>, Tianjin University, China</p>
</fn>
<corresp id="c001">&#x2a;Correspondence: Xiang Ji, <email>jixiang0615@yeah.net</email>; Xiaochun Hong, <email>hongxc@yzu.edu.cn</email>
</corresp>
</author-notes>
<pub-date pub-type="epub">
<day>09</day>
<month>10</month>
<year>2025</year>
</pub-date>
<pub-date pub-type="collection">
<year>2025</year>
</pub-date>
<volume>13</volume>
<elocation-id>1636744</elocation-id>
<history>
<date date-type="received">
<day>28</day>
<month>05</month>
<year>2025</year>
</date>
<date date-type="accepted">
<day>25</day>
<month>09</month>
<year>2025</year>
</date>
</history>
<permissions>
<copyright-statement>Copyright &#xa9; 2025 Liu, Ji, Wang, Jiang and Hong.</copyright-statement>
<copyright-year>2025</copyright-year>
<copyright-holder>Liu, Ji, Wang, Jiang and Hong</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>As a critical spatial carrier for achieving the &#x201c;dual carbon&#x201d; strategic goals, measuring carbon emissions and assessing low-carbon development efficiency in urban territorial spaces are of great significance for promoting urban green and low-carbon transitions. This study focuses on urban territorial space as its research object, constructs a carbon accounting system for territorial spaces based on multi-source big data, and innovatively establishes a composite-dimensional low-carbon development efficiency evaluation model. It systematically evaluates the economic-social-ecological low-carbon development efficiency levels of various territorial spatial units and conducts a corresponding low-carbon zoning study. The findings indicate that the territorial space carbon accounting method developed in this study effectively supports the evaluation of composite-dimensional low-carbon development efficiency and provides a scientific methodological foundation for urban low-carbon zoning. The spatial structure of low-carbon development efficiency exhibits significant dimensional heterogeneity, with its characteristics conforming to regional socioeconomic development patterns. This reveals the inherent imbalance in low-carbon development across metropolitan territorial spaces. Based on the low-carbon development efficiency evaluations, territorial spatial units are classified into five types of low-carbon zones, including economically advantaged low-carbon zones, socially advantaged low-carbon zones, ecologically advantaged low-carbon zones, economically-socially advantaged low-carbon zones, and socially-ecologically advantaged low-carbon zones. The findings reveal significant spatial disparities in low-carbon development efficiency across Xuzhou City, necessitating differentiated low-carbon regulation strategies tailored to the carbon emission characteristics of each zone to foster low-carbon development in urban territorial spaces.</p>
</abstract>
<kwd-group>
<kwd>carbon emissions</kwd>
<kwd>low-carbon development efficiency</kwd>
<kwd>low-carbon zoning</kwd>
<kwd>urbanterritorial spaces</kwd>
<kwd>composite dimension</kwd>
</kwd-group>
<counts>
<page-count count="15"/>
</counts>
<custom-meta-wrap>
<custom-meta>
<meta-name>section-at-acceptance</meta-name>
<meta-value>Social-Ecological Urban Systems</meta-value>
</custom-meta>
</custom-meta-wrap>
</article-meta>
</front>
<body>
<sec sec-type="intro" id="s1">
<title>1 Introduction</title>
<p>Research data indicate that approximately 70% of global energy consumption and 75% of carbon emissions are concentrated in urban areas (<xref ref-type="bibr" rid="B23">Seto et al., 2014</xref>). As the primary spatial carrier of global carbon emissions, low-carbon development in urban territorial spaces has become a critical pathway for China to address climate change and achieve its strategic goals of &#x2018;carbon peaking and carbon neutrality&#x2019;. Functioning as a pivotal spatial nexus connecting national and local governance, urban territories encompass carbon emission activities spanning both central urban districts and rural township areas. A comprehensive analysis of the spatial characteristics of urban carbon emissions not only addresses the low-carbon governance demands of diverse planning stakeholders but also effectively supports the vertical integration and horizontal coordination of low-carbon strategies within the territorial spatial planning framework (<xref ref-type="bibr" rid="B37">Zhang D. et al., 2023</xref>). Low-carbon development efficiency, serving as a core metric for evaluating regional carbon emission performance, directly correlates with the achievement of urban carbon reduction targets and the scientific formulation of low-carbon policies in territorial spatial planning (<xref ref-type="bibr" rid="B31">Wang et al., 2021</xref>). Multidimensional factors, including economic development gradients, resource allocation efficiency, and natural baseline conditions, lead to significant spatial heterogeneity in carbon budgets and pronounced imbalance in low-carbon development efficiency from composite-dimensional perspectives. These efficiency disparities necessitate differentiated positioning in low-carbon strategy implementation, as homogeneous governance approaches neglecting spatial heterogeneity may compromise urban low-carbon transition objectives. This study proposes establishing differentiated regulatory mechanisms based on comprehensive assessments of regional low-carbon development efficiency. By deconstructing spatial differentiation patterns of multidimensional efficiency indicators, spatially adaptive carbon reduction strategies can be formulated. This research approach contributes to constructing a more efficient and refined territorial spatial governance system, systematically supporting the realization of the &#x2018;Dual Carbon&#x2019; goals.</p>
<p>Carbon accounting in territorial spatial systems constitutes the fundamental basis for subsequent research on low-carbon development efficiency. Current carbon emission accounting frameworks primarily adopt two distinct paradigms, namely, bottom-up and top-down approaches. The former employs activity-level data at the micro-scale (e.g., factories (<xref ref-type="bibr" rid="B10">Jiang et al., 2023</xref>), equipment (<xref ref-type="bibr" rid="B34">Wiggins et al., 2021</xref>), and products (<xref ref-type="bibr" rid="B4">Deng et al., 2023</xref>)) for hierarchical aggregation, offering higher accounting accuracy yet constrained by data collection costs and computational complexity, thus being predominantly applicable to micro-level emission quantification scenarios (<xref ref-type="bibr" rid="B11">Li et al., 2013</xref>). The latter utilizes macro-scale statistical data to develop estimation models based on energy consumption and economic activity levels at national (<xref ref-type="bibr" rid="B20">Miller et al., 2019</xref>), sectoral (<xref ref-type="bibr" rid="B7">Hasan and Khanam, 2020</xref>), or regional (<xref ref-type="bibr" rid="B6">Guan et al., 2012</xref>) levels. It benefits from superior data accessibility for macroscopic carbon accounting, albeit with inherent limitations in measurement precision. For instance, existing studies have established an accounting system integrating the correspondence between urban sectoral carbon inventories and land-use-type carbon emissions based on the IPCC Guidelines for National Greenhouse Gas Inventories (<xref ref-type="bibr" rid="B24">Shan et al., 2018a</xref>). While this framework achieves quantitative statistics and spatial representation of carbon emission magnitudes, it inadequately characterizes the spatial heterogeneity of carbon emissions (<xref ref-type="bibr" rid="B26">Shi et al., 2012</xref>). Furthermore, some scholars have attempted to establish correlations between carbon emissions and geospatial elements (<xref ref-type="bibr" rid="B9">Jiang et al., 2013</xref>) and have implemented spatial allocation of emissions through geospatial data (<xref ref-type="bibr" rid="B16">Long et al., 2021</xref>). However, the homogenization of allocation entities results in lower accuracy, failing to meet the requirements for refined carbon-emission governance.</p>
<p>Once a carbon accounting framework is established, the next challenge is evaluating low-carbon development efficiency. Scholars have conducted evaluations of low-carbon development efficiency across distinct analytical dimensions. In the economic dimension, studies employing coupling coordination degree models have examined the coupling coordination relationships between industrial carbon emission efficiency and industrial structure optimization (<xref ref-type="bibr" rid="B14">Li and Wang, 2022</xref>). Within the social dimension, the Theil index has been applied to measure carbon-emission welfare performance, revealing regional disparities in social benefits derived from carbon emissions across geographical units (<xref ref-type="bibr" rid="B19">Meng and Zhang, 2022</xref>). From an ecological perspective, the Super-SBM model has been utilized to construct urban green development efficiency indicators, enabling analysis of spatiotemporal evolution patterns in regional green development efficiency (<xref ref-type="bibr" rid="B21">Qin and Liu, 2022</xref>). While these studies have provided substantial ideas and methods for single-dimensional assessments, research on urban low-carbon development efficiency evaluations from multidimensional composite perspectives remains insufficient. Furthermore, constrained by limitations in carbon accounting data precision and evaluation system comprehensiveness, existing low-carbon zoning studies predominantly focus on macro-scales such as the national level (<xref ref-type="bibr" rid="B13">Li et al., 2021</xref>; <xref ref-type="bibr" rid="B37">Zhang D. et al., 2023</xref>) and regional levels (<xref ref-type="bibr" rid="B42">Zhao et al., 2014</xref>; <xref ref-type="bibr" rid="B18">Ma et al., 2022</xref>), with urban-scale zoning research being comparatively underdeveloped.</p>
<p>Therefore, this study takes Xuzhou&#x2019;s urban territorial space as a case study, aiming to advance methodological innovations and practical applications in low-carbon development efficiency through the following innovative research framework. Firstly, we develop a high-precision spatial allocation method for carbon emissions based on geospatial big data systems, significantly improving the accuracy of carbon accounting in territorial spaces. Secondly, this study overcomes the limitations of traditional single-dimensional evaluations by constructing a socio-economic-ecological multidimensional assessment system for low-carbon development efficiency, systematically analyzing the spatial differentiation characteristics and formation mechanisms of multidimensional low-carbon development efficiency. Subsequently, this research develops a multidimensional low-carbon zoning methodology based on efficiency evaluations, enabling low-carbon zoning at the intra-urban county scale. Finally, spatially tailored carbon reduction policies are proposed based on the zoning results, providing scientific support for optimizing the carbon emission patterns of territorial spaces.</p>
</sec>
<sec sec-type="materials" id="s2">
<title>2 Materials</title>
<sec id="s2-1">
<title>2.1 Overview of study area</title>
<p>Xuzhou City is situated in the eastern region of China, within the northern section of the Yangtze River Delta urban agglomeration (<xref ref-type="fig" rid="F1">Figure 1</xref>). Geographically, the city lies at the interface between the Huang-Huai Plain and the Shandong Hills, encompassing diverse landforms of low mountains, hills, plains, and lakes. As a key energy hub in East China, Xuzhou has historically depended on coal resource exploitation, establishing an industrial structure primarily centered on coal mining, thermal power generation, and steel production. The Xuzhou mining district ranks among the largest coal mining regions in eastern China, with substantial coal reserves that have played a crucial role in supporting both regional and national energy demands. However, prolonged coal mining activities have resulted in significant eco-environmental problems, including groundwater depletion, surface subsidence, and ecological degradation. Additionally, coal combustion and the concentration of energy-intensive industries have positioned Xuzhou as one of the cities with the highest carbon emission intensity within the Yangtze River Delta urban agglomeration. As a traditional coal mining and heavy industry hub in East China, Xuzhou exemplifies the challenges and opportunities of low-carbon transitions in resource-dependent cities. However, recent efforts in industrial restructuring, renewable energy adoption, and green manufacturing demonstrate a systematic shift toward sustainable development. As the regional energy base, Xuzhou amplifies its influence by driving low-carbon transitions across the Yangtze River Delta. By promoting green and low-carbon development, it also contributes to sustainable spatial planning, providing empirical evidence for balancing economic growth with emission reduction. As a representative case of China&#x2019;s industrial cities under the &#x2018;Dual Carbon&#x2019; targets, Xuzhou&#x2019;s policies and practices offer transferable lessons for low-carbon transition in similar regions globally.</p>
<fig id="F1" position="float">
<label>FIGURE 1</label>
<caption>
<p>Location of Xuzhou City. <bold>(a)</bold> Location of Xuzhou in Yangtze River Delta; <bold>(b)</bold> administrative boundary of Xuzhou. Source: authors.</p>
</caption>
<graphic xlink:href="fenvs-13-1636744-g001.tif">
<alt-text content-type="machine-generated">Map showing Xu Zhou in red on the left, highlighting its location within a larger region with marked city and urban agglomeration boundaries. The right side focuses on Xu Zhou&#x27;s detailed county arrangement, indicating areas for construction, green spaces, and water, with specific areas labeled such as Fengxian, Peixian, and Xinyi. Legends are included for both sections.</alt-text>
</graphic>
</fig>
</sec>
<sec id="s2-2">
<title>2.2 Data sources</title>
<p>The research data consists of both statistical and spatial data (<xref ref-type="table" rid="T1">Table 1</xref>). The statistical data includes energy, traffic, industry, agriculture, economy, and population information, primarily sourced from the Xuzhou Statistical Yearbook (2023). The spatial data covers POI data for industrial and commercial service sectors, mobile signaling data, road networks, land use, and administrative boundaries of Xuzhou. Specifically, POI data was obtained via the Gaode Map API; Mobile signaling data came from China Unicom&#x2019;s &#x201c;Smart Footprint Platform&#x201d;; Road data was extracted from OpenStreetMap (OSM); Land use data was derived from Wuhan University&#x2019;s CLCD (China Land Cover Dataset) database, known for its high accuracy and continuity; Administrative boundaries were acquired from the Ministry of Natural Resources&#x2019; Standard Map Service.</p>
<table-wrap id="T1" position="float">
<label>TABLE 1</label>
<caption>
<p>Description of research data sources.</p>
</caption>
<table>
<thead valign="top">
<tr>
<th align="left">Data type</th>
<th align="left">Specific data</th>
<th align="left">Data content</th>
<th align="left">Data source</th>
</tr>
</thead>
<tbody valign="top">
<tr>
<td rowspan="6" align="left">Statistical data</td>
<td align="left">Energy data</td>
<td align="left">The energy consumption of industry and construction sector</td>
<td rowspan="6" align="left">Xuzhou Statistical Yearbook (2023)</td>
</tr>
<tr>
<td align="left">Traffic data</td>
<td align="left">The turnover and annual mileage of various modes of transportation</td>
</tr>
<tr>
<td align="left">Industry data</td>
<td align="left">Main industrial product output</td>
</tr>
<tr>
<td align="left">Agriculture data</td>
<td align="left">Animal inventory, crop yield, agricultural machinery quantity, pesticide quantity, etc.</td>
</tr>
<tr>
<td align="left">Economy data</td>
<td align="left">The gross domestic product (GDP) of each district and county</td>
</tr>
<tr>
<td align="left">Population data</td>
<td align="left">The total population of each district and county</td>
</tr>
<tr>
<td rowspan="5" align="left">Spatial data</td>
<td align="left">POI date</td>
<td align="left">POI data for industrial and commercial service industries</td>
<td align="left">Gaode Map API (2023)</td>
</tr>
<tr>
<td align="left">Mobile signaling data</td>
<td align="left">Geospatial residential population distribution data</td>
<td align="left">China Unicom&#x2019;s &#x201c;Smart Footprint Platform&#x201d; (2023)</td>
</tr>
<tr>
<td align="left">Road data</td>
<td align="left">Urban graded road spatial data</td>
<td align="left">OpenStreetMap (2023)</td>
</tr>
<tr>
<td align="left">Land use data</td>
<td align="left">The spatial data categorized into nine land use types (including forest land, grassland, water bodies, and built-up areas)</td>
<td align="left">Wuhan University&#x2019;s CLCD database (2023)</td>
</tr>
<tr>
<td align="left">Administrative boundary data</td>
<td align="left">Administrative boundary spatial data of each district and county</td>
<td align="left">Ministry of Natural Resources&#x2019; Standard Map Service (2023)</td>
</tr>
</tbody>
</table>
</table-wrap>
</sec>
<sec id="s2-3">
<title>2.3 Theoretical basis</title>
<p>The level of low-carbon development varies spatially across urban districts and counties, with its efficiency serves as a crucial indicator for assessing the degree of low-carbon development within urban territorial spaces (<xref ref-type="bibr" rid="B21">Qin and Liu, 2022</xref>). Simultaneously with the generation of economic value in a given region, carbon emissions are produced. Carbon emission efficiency serves as a key indicator of the level of low-carbon economic development. Improvements in efficiency signify the achievement of high economic benefits while minimizing carbon emissions. Moreover, within the context of the &#x201c;dual carbon&#x201d; goal, carbon emissions associated with regional populations and spatial resources are constrained. Limitations on per capita carbon emissions and carbon emission intensity will allocate differing carbon emission rights and carbon reduction responsibilities across human societies (<xref ref-type="bibr" rid="B29">Wang et al., 2014</xref>). Additionally, the negative externalities on the ecological environment resulting from rapid economic and social development exacerbate the mismatch between regional carbon sink capacity and emission levels (<xref ref-type="bibr" rid="B12">Li et al., 2019</xref>). From this, it can be seen that carbon emissions, as an unintended byproduct of socio-economic development, exert negative impacts on economic growth, social equity, and the ecological environment. Consequently, low-carbon development should not be viewed solely as the pursuit of sustainability at a specific level, but rather as a comprehensive concept encompassing multiple dimensions&#x2014;economic, social, and ecological. Building upon this analysis, this article develops a research framework for comprehensive efficiency and establishes a three-dimensional model to evaluate low-carbon development efficiency across economic, social, and ecological dimensions (<xref ref-type="fig" rid="F2">Figure 2</xref>).</p>
<fig id="F2" position="float">
<label>FIGURE 2</label>
<caption>
<p>Model diagram of economic-social-ecological low-carbon development efficiency. Source: adapted from <xref ref-type="bibr" rid="B30">Wang et al., 2020</xref>.</p>
</caption>
<graphic xlink:href="fenvs-13-1636744-g002.tif">
<alt-text content-type="machine-generated">Triangular diagram illustrating comprehensive low-carbon development. The central triangle labeled&#x22; Comprehensive low-carbon development&#x22; is composed of three smaller triangles: &#x22;Economic dimension,&#x22; &#x22;Social dimension,&#x22; and &#x22;Ecological dimension.&#x22; Surrounding triangles are indicators corresponding to dimensions: &#x22;Economic Low-carbon Development Efficiency Index,&#x22; &#x22;Ecological Carrying Carbon-sink Efficiency Index,&#x22; and &#x22;Social Share-carbon Responsibility Efficiency Index.&#x22; The outermost layer of triangles are target corresponding to dimensions: &#x22;Efficiency,&#x22; &#x22;Ecology,&#x22; and &#x22;Equity.</alt-text>
</graphic>
</fig>
</sec>
</sec>
<sec sec-type="methods" id="s3">
<title>3 Methods</title>
<sec id="s3-1">
<title>3.1 Carbon emission calculation method of urban territorial space</title>
<sec id="s3-1-1">
<title>3.1.1 Carbon emission calculation method of urban sectors</title>
<p>Building on the IPCC Guidelines for National Greenhouse Gas Inventories, we develop a method to calculate carbon emissions from urban sectors. It estimates emissions by analyzing energy, feedstock, waste, and other resource consumption per sector, using the intensity data of sector-specific activity and relevant emission factors (<xref ref-type="bibr" rid="B17">Lu et al., 2012</xref>). The calculation formula is given in <xref ref-type="disp-formula" rid="e1">Equation 1</xref>. Specifically, the method covers six emission sectors, namely, industry (C<sub>E</sub>), construction (C<sub>B</sub>), traffic (C<sub>T</sub>), agriculture (C<sub>F</sub>), waste (C<sub>W</sub>), and carbon sink (C<sub>A</sub>). The city&#x2019;s total emissions (C) are then obtained by aggregating all sector contributions as shown in <xref ref-type="disp-formula" rid="e2">Equation 2</xref>.<disp-formula id="e1">
<mml:math id="m1">
<mml:mrow>
<mml:msub>
<mml:mi mathvariant="bold-italic">C</mml:mi>
<mml:mi mathvariant="bold-italic">i</mml:mi>
</mml:msub>
<mml:mo>&#x3d;</mml:mo>
<mml:mstyle displaystyle="true">
<mml:munder>
<mml:mo>&#x2211;</mml:mo>
<mml:mi mathvariant="bold-italic">j</mml:mi>
</mml:munder>
</mml:mstyle>
<mml:msub>
<mml:mi mathvariant="bold-italic">Q</mml:mi>
<mml:mi mathvariant="bold-italic">j</mml:mi>
</mml:msub>
<mml:mo>&#xd7;</mml:mo>
<mml:msub>
<mml:mi mathvariant="bold-italic">&#x3b1;</mml:mi>
<mml:mi mathvariant="bold-italic">j</mml:mi>
</mml:msub>
</mml:mrow>
</mml:math>
<label>(1)</label>
</disp-formula>
<disp-formula id="e2">
<mml:math id="m2">
<mml:mrow>
<mml:mi mathvariant="bold-italic">C</mml:mi>
<mml:mo>&#x3d;</mml:mo>
<mml:msub>
<mml:mi mathvariant="bold-italic">C</mml:mi>
<mml:mi mathvariant="bold-italic">E</mml:mi>
</mml:msub>
<mml:mo>&#x2b;</mml:mo>
<mml:msub>
<mml:mi mathvariant="bold-italic">C</mml:mi>
<mml:mi mathvariant="bold-italic">B</mml:mi>
</mml:msub>
<mml:mo>&#x2b;</mml:mo>
<mml:msub>
<mml:mi mathvariant="bold-italic">C</mml:mi>
<mml:mi mathvariant="bold-italic">T</mml:mi>
</mml:msub>
<mml:mo>&#x2b;</mml:mo>
<mml:msub>
<mml:mi mathvariant="bold-italic">C</mml:mi>
<mml:mi mathvariant="bold-italic">F</mml:mi>
</mml:msub>
<mml:mo>&#x2b;</mml:mo>
<mml:msub>
<mml:mi mathvariant="bold-italic">C</mml:mi>
<mml:mi mathvariant="bold-italic">W</mml:mi>
</mml:msub>
<mml:mo>&#x2b;</mml:mo>
<mml:msub>
<mml:mi mathvariant="bold-italic">C</mml:mi>
<mml:mi mathvariant="bold-italic">A</mml:mi>
</mml:msub>
</mml:mrow>
</mml:math>
<label>(2)</label>
</disp-formula>
</p>
<p>Where <inline-formula id="inf1">
<mml:math id="m3">
<mml:mrow>
<mml:msub>
<mml:mi>C</mml:mi>
<mml:mi>i</mml:mi>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> represents total carbon emissions of urban sector <inline-formula id="inf2">
<mml:math id="m4">
<mml:mrow>
<mml:mi>i</mml:mi>
</mml:mrow>
</mml:math>
</inline-formula>; <inline-formula id="inf3">
<mml:math id="m5">
<mml:mrow>
<mml:mi>j</mml:mi>
</mml:mrow>
</mml:math>
</inline-formula> represents the type of emission activity; <inline-formula id="inf4">
<mml:math id="m6">
<mml:mrow>
<mml:msub>
<mml:mi>Q</mml:mi>
<mml:mi>j</mml:mi>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> represents the intensity of activity type <inline-formula id="inf5">
<mml:math id="m7">
<mml:mrow>
<mml:mi>j</mml:mi>
</mml:mrow>
</mml:math>
</inline-formula>; <inline-formula id="inf6">
<mml:math id="m8">
<mml:mrow>
<mml:msub>
<mml:mi>&#x3b1;</mml:mi>
<mml:mi>j</mml:mi>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> represents the emission factor for activity type <inline-formula id="inf7">
<mml:math id="m9">
<mml:mrow>
<mml:mi>j</mml:mi>
</mml:mrow>
</mml:math>
</inline-formula>.</p>
<p>The carbon emissions from the industrial sector originate from energy consumption, feedstock use, and manufacturing processes. Industrial energy emissions are calculated based on annual industrial fuel combustion types and quantities, while process emissions derive from production volumes of key products including cement, steel, and synthetic ammonia (<xref ref-type="bibr" rid="B8">Hu and Man, 2023</xref>). Construction sector emissions primarily reflect building energy consumption (electricity, natural gas), estimated through energy use data and corresponding emission factors (<xref ref-type="bibr" rid="B27">Shi et al., 2023</xref>). For the traffic sector, emissions are determined by activity intensity and emission factors of various transport modes, with total sector emissions obtained by aggregating all modes&#x2019; contributions (<xref ref-type="bibr" rid="B35">Xia et al., 2020</xref>). Agricultural emissions mainly come from farm machinery operations, fertilizer applications, and land-use changes, calculated using activity intensity data and specific emission factors (<xref ref-type="bibr" rid="B32">West and Marland, 2002</xref>). Waste sector emissions predominantly arise from landfills, wastewater treatment and incineration activities, estimated by analyzing waste categories (organic, recyclable, hazardous) and treatment-specific emission factors (<xref ref-type="bibr" rid="B41">Zhao et al., 2012</xref>). Additionally, urban carbon sinks including cropland, forests, grasslands, urban green spaces and water bodies are quantified based on their areas and respective carbon absorption rates (<xref ref-type="bibr" rid="B28">Strohbach and Haase, 2012</xref>).</p>
</sec>
<sec id="s3-1-2">
<title>3.1.2 Carbon emission calculation method of urban territorial spaces</title>
<sec id="s3-1-2-1">
<title>3.1.2.1 Establish a &#x201c;carbon emission-territorial space&#x201d; correspondence framework</title>
<p>To accurately measure carbon emissions in urban territorial spaces, this study establishes a linkage between urban carbon emission inventories and land use types. First, from a consumption-based perspective, we reorganize the emission sectors outlined in the IPCC Guidelines for National Greenhouse Gas Inventories into six categories, including industry, construction, traffic, agriculture, waste, and carbon sink (<xref ref-type="bibr" rid="B44">Zheng et al., 2021</xref>). Next, we select spatial carriers of municipal territories and allocate carbon emission activities from these six sectors to corresponding land use types based on the spatial locations where end-use consumption activities generate emissions (<xref ref-type="bibr" rid="B40">Zhang Z. et al., 2023</xref>). Ultimately, we establish a municipal-level &#x201c;carbon emission-territorial space&#x201d; correspondence framework (<xref ref-type="fig" rid="F3">Figure 3</xref>).</p>
<fig id="F3" position="float">
<label>FIGURE 3</label>
<caption>
<p>&#x201c;Carbon emission-territorial space&#x201d; correspondence framework. Source: authors.</p>
</caption>
<graphic xlink:href="fenvs-13-1636744-g003.tif">
<alt-text content-type="machine-generated">Sankey diagram illustrating the relationship between sectors, activity types, and land use types. Sectors include industry, carbon sink, traffic, construction, waste, and agriculture. Activity types range from passenger transport to mining. Land use types include transportation land, public facilities land, and residential land. The diagram shows the flow and distribution of activities across different land use categories. Each flow is color-coded to represent connections between sectors and corresponding activities, demonstrating the complex interaction between industry activities and land use.</alt-text>
</graphic>
</fig>
</sec>
<sec id="s3-1-2-2">
<title>3.1.2.2 Methods for carbon emissions spatialization</title>
<p>To characterize the spatial heterogeneity of carbon emissions generated by human activities and land-use elements, while highlighting the structural patterns of carbon emissions in municipal territorial spaces, this study employs the established &#x201c;carbon emission-territorial space&#x201d; correspondence framework. Based on sector-specific emission characteristics, we select appropriate spatial allocation indicators and utilize geospatial big data to design differentiated spatialization methodologies (<xref ref-type="table" rid="T2">Table 2</xref>). This approach enables the allocation of specific total carbon emission values to individual territorial spatial parcels, ultimately achieving high-precision measurement of carbon emissions of urban territorial spaces.</p>
<table-wrap id="T2" position="float">
<label>TABLE 2</label>
<caption>
<p>Methods for carbon emission spatialization method based on geospatial big data.</p>
</caption>
<table>
<thead valign="top">
<tr>
<th align="left">Sectors</th>
<th align="left">Land use types</th>
<th align="left">Allocation indicators</th>
<th align="left">Spatialization methods</th>
</tr>
</thead>
<tbody valign="top">
<tr>
<td align="left">Industry</td>
<td align="left">Industrial and mining land, public facilities land</td>
<td align="left">The number of POIs in various industries and the output of various industrial products</td>
<td align="left">The carbon emissions are allocated based on the ratio of enterprise POIs within a land parcel to the total number of POIs in the corresponding industry, followed by cumulative aggregation (<xref ref-type="bibr" rid="B3">Chuai and Feng, 2019</xref>)</td>
</tr>
<tr>
<td align="left">Construction</td>
<td align="left">Residential land, Commercial and service industries land, public management and public service land</td>
<td align="left">Number of residents, number of POIs for commercial service facilities, and number of POIs for public management facilities</td>
<td align="left">1. Carbon emissions are allocated based on the ratio of a land parcel&#x2019;s population to the total population (<xref ref-type="bibr" rid="B45">Zheng et al., 2022</xref>)<break/>2. Carbon emissions are allocated based on the ratio of facility-specific POI counts within each land parcel to the total POI counts for each facility category, followed by cumulative aggregation (<xref ref-type="bibr" rid="B45">Zheng et al., 2022</xref>)</td>
</tr>
<tr>
<td align="left">Traffic</td>
<td align="left">Transportation land</td>
<td align="left">Classification and quantity of urban roads, number of POI for transportation facilities</td>
<td align="left">Carbon emissions from railway, waterway, and rail transit land uses are allocated based on the ratio of their respective transport segment lengths to the total network length of each transportation mode. For urban road emissions, allocation is performed by adjusting traffic activity intensity using POI density of transportation facilities (<xref ref-type="bibr" rid="B15">Li et al., 2023</xref>)</td>
</tr>
<tr>
<td align="left">Agriculture</td>
<td align="left">Agricultural facilities land</td>
<td rowspan="3" align="center">Land-use area</td>
<td rowspan="3" align="left">Carbon emissions from the sector are allocated based on the ratio of individual land parcel area to the total area of the corresponding land use category (<xref ref-type="bibr" rid="B3">Chuai and Feng, 2019</xref>)</td>
</tr>
<tr>
<td align="left">Waste</td>
<td align="left">Industrial and mining land, public facilities land</td>
</tr>
<tr>
<td align="left">Carbon sink</td>
<td align="left">Non construction land, Agricultural facilities land</td>
</tr>
</tbody>
</table>
</table-wrap>
</sec>
</sec>
</sec>
<sec id="s3-2">
<title>3.2 Calculation method for low-carbon development efficiency</title>
<sec id="s3-2-1">
<title>3.2.1 Economic low-carbon development Efficiency Index</title>
<p>The Economic Low-carbon Development Efficiency Index (ELDEI) evaluates regional low-carbon development performance at the economic level, indicating relative carbon emission efficiency across urban areas. The index employs two key ratios to quantify economic output per unit of carbon emissions, specifically the ratio of sub-regional GDP to citywide GDP and the ratio of sub-regional carbon emissions to citywide emissions. These metrics collectively assess the low-carbon efficiency of economic development at the spatial unit level (<xref ref-type="bibr" rid="B17">Lu et al., 2012</xref>), as shown in <xref ref-type="disp-formula" rid="e3">Equation 3</xref>.<disp-formula id="e3">
<mml:math id="m10">
<mml:mrow>
<mml:mi mathvariant="bold-italic">E</mml:mi>
<mml:mi mathvariant="bold-italic">L</mml:mi>
<mml:mi mathvariant="bold-italic">D</mml:mi>
<mml:mi mathvariant="bold-italic">E</mml:mi>
<mml:mi mathvariant="bold-italic">I</mml:mi>
<mml:mo>&#x3d;</mml:mo>
<mml:mfrac>
<mml:mrow>
<mml:msub>
<mml:mi mathvariant="bold-italic">G</mml:mi>
<mml:mi mathvariant="bold-italic">i</mml:mi>
</mml:msub>
</mml:mrow>
<mml:mrow>
<mml:mi mathvariant="bold-italic">G</mml:mi>
</mml:mrow>
</mml:mfrac>
<mml:mo>/</mml:mo>
<mml:mfrac>
<mml:mrow>
<mml:msub>
<mml:mi mathvariant="bold-italic">C</mml:mi>
<mml:mi mathvariant="bold-italic">i</mml:mi>
</mml:msub>
</mml:mrow>
<mml:mrow>
<mml:mi mathvariant="bold-italic">C</mml:mi>
</mml:mrow>
</mml:mfrac>
</mml:mrow>
</mml:math>
<label>(3)</label>
</disp-formula>
</p>
<p>Where <inline-formula id="inf8">
<mml:math id="m11">
<mml:mrow>
<mml:msub>
<mml:mi>G</mml:mi>
<mml:mi>i</mml:mi>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> and <inline-formula id="inf9">
<mml:math id="m12">
<mml:mrow>
<mml:mi>G</mml:mi>
</mml:mrow>
</mml:math>
</inline-formula> represent the GDP of spatial unit <inline-formula id="inf10">
<mml:math id="m13">
<mml:mrow>
<mml:mi>i</mml:mi>
</mml:mrow>
</mml:math>
</inline-formula> and the city&#x2019;s total GDP, respectively; <inline-formula id="inf11">
<mml:math id="m14">
<mml:mrow>
<mml:msub>
<mml:mi>C</mml:mi>
<mml:mi>i</mml:mi>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> and <inline-formula id="inf12">
<mml:math id="m15">
<mml:mrow>
<mml:mi>C</mml:mi>
</mml:mrow>
</mml:math>
</inline-formula> represent the carbon emissions of spatial unit <inline-formula id="inf13">
<mml:math id="m16">
<mml:mrow>
<mml:mi>i</mml:mi>
</mml:mrow>
</mml:math>
</inline-formula> and the city&#x2019;s total carbon emissions, respectively. When ELDEI &#x3e;1, it indicates that the region&#x2019;s carbon emission efficiency is higher than the city&#x2019;s average level, reflecting relatively high low-carbon economic development. Conversely, when ELDEI &#x3c;1, it suggests lower-than-average carbon emission efficiency and relatively poor low-carbon economic development.</p>
</sec>
<sec id="s3-2-2">
<title>3.2.2 Social shared-carbon responsibility Efficiency Index</title>
<p>The Social Shared-Carbon Responsibility Efficiency Index (SSREI) evaluates regional low-carbon development at the societal level. Building on existing applications in carbon emission rights allocation studies (<xref ref-type="bibr" rid="B33">Wang et al., 2023</xref>), this index characterizes the relative levels of per capita carbon emissions and emission density within a region, quantifying the region&#x2019;s carbon reduction responsibility. The calculation is formalized in <xref ref-type="disp-formula" rid="e4">Equation 4</xref>.<disp-formula id="e4">
<mml:math id="m17">
<mml:mrow>
<mml:mi mathvariant="bold-italic">S</mml:mi>
<mml:mi mathvariant="bold-italic">S</mml:mi>
<mml:mi mathvariant="bold-italic">R</mml:mi>
<mml:mi mathvariant="bold-italic">E</mml:mi>
<mml:mi mathvariant="bold-italic">I</mml:mi>
<mml:mo>&#x3d;</mml:mo>
<mml:mfrac>
<mml:mn mathvariant="bold">1</mml:mn>
<mml:mrow>
<mml:mn mathvariant="bold">0.7</mml:mn>
<mml:mo>&#xd7;</mml:mo>
<mml:mfrac>
<mml:mrow>
<mml:msub>
<mml:mover accent="true">
<mml:mi mathvariant="bold-italic">S</mml:mi>
<mml:mo>&#xaf;</mml:mo>
</mml:mover>
<mml:mrow>
<mml:mi mathvariant="bold-italic">p</mml:mi>
<mml:mi mathvariant="bold-italic">i</mml:mi>
</mml:mrow>
</mml:msub>
</mml:mrow>
<mml:mrow>
<mml:msub>
<mml:mover accent="true">
<mml:mi mathvariant="bold-italic">S</mml:mi>
<mml:mo>&#xaf;</mml:mo>
</mml:mover>
<mml:mi mathvariant="bold-italic">p</mml:mi>
</mml:msub>
</mml:mrow>
</mml:mfrac>
<mml:mo>&#x2b;</mml:mo>
<mml:mn mathvariant="bold">0.3</mml:mn>
<mml:mo>&#xd7;</mml:mo>
<mml:mfrac>
<mml:mrow>
<mml:msub>
<mml:mover accent="true">
<mml:mi mathvariant="bold-italic">S</mml:mi>
<mml:mo>&#xaf;</mml:mo>
</mml:mover>
<mml:mrow>
<mml:mi mathvariant="bold-italic">l</mml:mi>
<mml:mi mathvariant="bold-italic">i</mml:mi>
</mml:mrow>
</mml:msub>
</mml:mrow>
<mml:mrow>
<mml:msub>
<mml:mover accent="true">
<mml:mi mathvariant="bold-italic">S</mml:mi>
<mml:mo>&#xaf;</mml:mo>
</mml:mover>
<mml:mi mathvariant="bold-italic">l</mml:mi>
</mml:msub>
</mml:mrow>
</mml:mfrac>
</mml:mrow>
</mml:mfrac>
</mml:mrow>
</mml:math>
<label>(4)</label>
</disp-formula>
</p>
<p>Where <inline-formula id="inf14">
<mml:math id="m18">
<mml:mrow>
<mml:msub>
<mml:mover accent="true">
<mml:mi>S</mml:mi>
<mml:mo>&#xaf;</mml:mo>
</mml:mover>
<mml:mrow>
<mml:mi>p</mml:mi>
<mml:mi>i</mml:mi>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> and <inline-formula id="inf15">
<mml:math id="m19">
<mml:mrow>
<mml:msub>
<mml:mover accent="true">
<mml:mi>S</mml:mi>
<mml:mo>&#xaf;</mml:mo>
</mml:mover>
<mml:mi>p</mml:mi>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> represent per capita carbon emissions for spatial unit <inline-formula id="inf16">
<mml:math id="m20">
<mml:mrow>
<mml:mi>i</mml:mi>
</mml:mrow>
</mml:math>
</inline-formula> and the city average, respectively; <inline-formula id="inf17">
<mml:math id="m21">
<mml:mrow>
<mml:msub>
<mml:mover accent="true">
<mml:mi>S</mml:mi>
<mml:mo>&#xaf;</mml:mo>
</mml:mover>
<mml:mrow>
<mml:mi>l</mml:mi>
<mml:mi>i</mml:mi>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> and <inline-formula id="inf18">
<mml:math id="m22">
<mml:mrow>
<mml:msub>
<mml:mover accent="true">
<mml:mi>S</mml:mi>
<mml:mo>&#xaf;</mml:mo>
</mml:mover>
<mml:mi>l</mml:mi>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> represent carbon emission density for spatial unit <inline-formula id="inf19">
<mml:math id="m23">
<mml:mrow>
<mml:mi>i</mml:mi>
</mml:mrow>
</mml:math>
</inline-formula> and the city average, respectively. Given that the study area is situated in eastern China&#x2014;a region characterized by high population density and significant carbon emissions due to intensive human activity&#x2014;this paper applied the Delphi method to determine the weights of two indicators of per capita carbon emissions and carbon emission density. A consensus was reached among 80% of the expert panel, assigning weights of 0.7 and 0.3 to per capita carbon emissions and carbon emission density, respectively. When SSREI &#x3e;1, both per capita emissions and emission density in the region are below citywide averages, indicating both reduced carbon reduction responsibility and advanced social low-carbon development. Conversely, when SSREI &#x3c;1, the region&#x2019;s carbon emission intensity exceeds citywide averages, resulting in greater carbon reduction obligations and lower social-level low-carbon development.</p>
</sec>
<sec id="s3-2-3">
<title>3.2.3 Ecological carrying carbon-sink Efficiency Index</title>
<p>The Ecological Carrying Carbon-sink Efficiency Index (ECCEI) evaluates a region&#x2019;s low-carbon development at the ecological level. This index, which is widely adopted in studies assessing regional carbon sink capacity and carbon compensation potential (<xref ref-type="bibr" rid="B40">Zhang Z. et al., 2023</xref>), characterizes the relative carbon sink carrying capacity across urban spatial units as formalized in <xref ref-type="disp-formula" rid="e5">Equation 5</xref>.<disp-formula id="e5">
<mml:math id="m24">
<mml:mrow>
<mml:mi mathvariant="bold-italic">E</mml:mi>
<mml:mi mathvariant="bold-italic">C</mml:mi>
<mml:mi mathvariant="bold-italic">C</mml:mi>
<mml:mi mathvariant="bold-italic">E</mml:mi>
<mml:mi mathvariant="bold-italic">I</mml:mi>
<mml:mo>&#x3d;</mml:mo>
<mml:mfrac>
<mml:mrow>
<mml:msub>
<mml:msub>
<mml:mi mathvariant="bold-italic">C</mml:mi>
<mml:mi mathvariant="bold-italic">S</mml:mi>
</mml:msub>
<mml:mi mathvariant="bold-italic">i</mml:mi>
</mml:msub>
</mml:mrow>
<mml:mrow>
<mml:msub>
<mml:mi mathvariant="bold-italic">C</mml:mi>
<mml:mi mathvariant="bold-italic">S</mml:mi>
</mml:msub>
</mml:mrow>
</mml:mfrac>
<mml:mo>/</mml:mo>
<mml:mfrac>
<mml:mrow>
<mml:msub>
<mml:mi mathvariant="bold-italic">C</mml:mi>
<mml:mi mathvariant="bold-italic">i</mml:mi>
</mml:msub>
</mml:mrow>
<mml:mrow>
<mml:mi mathvariant="bold-italic">C</mml:mi>
</mml:mrow>
</mml:mfrac>
</mml:mrow>
</mml:math>
<label>(5)</label>
</disp-formula>
</p>
<p>Where <inline-formula id="inf20">
<mml:math id="m25">
<mml:mrow>
<mml:msub>
<mml:msub>
<mml:mi>C</mml:mi>
<mml:mi>S</mml:mi>
</mml:msub>
<mml:mi>i</mml:mi>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> and <inline-formula id="inf21">
<mml:math id="m26">
<mml:mrow>
<mml:msub>
<mml:mi>C</mml:mi>
<mml:mi>S</mml:mi>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> represent the carbon sequestration capacity of spatial unit <inline-formula id="inf22">
<mml:math id="m27">
<mml:mrow>
<mml:mi>i</mml:mi>
</mml:mrow>
</mml:math>
</inline-formula> and the citywide average respectively; <inline-formula id="inf23">
<mml:math id="m28">
<mml:mrow>
<mml:msub>
<mml:mi>C</mml:mi>
<mml:mi>i</mml:mi>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> and <inline-formula id="inf24">
<mml:math id="m29">
<mml:mrow>
<mml:mi>C</mml:mi>
</mml:mrow>
</mml:math>
</inline-formula> represent the carbon emissions of spatial unit <inline-formula id="inf25">
<mml:math id="m30">
<mml:mrow>
<mml:mi>i</mml:mi>
</mml:mrow>
</mml:math>
</inline-formula> and the citywide total respectively. When ECCEI &#x3e;1, the region exhibits an above-average carbon compensation rate, enhanced carbon sink capacity, and advanced ecological low-carbon development. Conversely, when ECCEI &#x3c;1, the region demonstrates a below-average compensation rate, diminished sequestration capacity, and underdeveloped ecological low-carbon performance.</p>
</sec>
<sec id="s3-2-4">
<title>3.2.4 Low-carbon development comprehensive Efficiency Index</title>
<p>To provide an overall assessment of regional low-carbon development levels, this study establishes a Low-carbon Development Comprehensive Efficiency Index to evaluate the regions&#x2019; comprehensive efficiency across economic, social, and ecological dimensions (<xref ref-type="bibr" rid="B29">Wang et al., 2014</xref>). The calculation formula is given in <xref ref-type="disp-formula" rid="e6">Equation 6</xref>.<disp-formula id="e6">
<mml:math id="m31">
<mml:mrow>
<mml:msub>
<mml:mi mathvariant="bold-italic">I</mml:mi>
<mml:mrow>
<mml:mn mathvariant="bold">3</mml:mn>
<mml:mi mathvariant="bold-italic">E</mml:mi>
</mml:mrow>
</mml:msub>
<mml:mo>&#x3d;</mml:mo>
<mml:msub>
<mml:mi mathvariant="bold-italic">I</mml:mi>
<mml:mrow>
<mml:mi mathvariant="bold-italic">E</mml:mi>
<mml:mi mathvariant="bold-italic">L</mml:mi>
<mml:mi mathvariant="bold-italic">D</mml:mi>
<mml:mi mathvariant="bold-italic">E</mml:mi>
<mml:mi mathvariant="bold-italic">I</mml:mi>
</mml:mrow>
</mml:msub>
<mml:msub>
<mml:mi mathvariant="bold-italic">&#x3b4;</mml:mi>
<mml:mrow>
<mml:mi mathvariant="bold-italic">E</mml:mi>
<mml:mi mathvariant="bold-italic">L</mml:mi>
<mml:mi mathvariant="bold-italic">D</mml:mi>
<mml:mi mathvariant="bold-italic">E</mml:mi>
<mml:mi mathvariant="bold-italic">I</mml:mi>
</mml:mrow>
</mml:msub>
<mml:mo>&#x2b;</mml:mo>
<mml:msub>
<mml:mi mathvariant="bold-italic">I</mml:mi>
<mml:mrow>
<mml:mi mathvariant="bold-italic">S</mml:mi>
<mml:mi mathvariant="bold-italic">S</mml:mi>
<mml:mi mathvariant="bold-italic">R</mml:mi>
<mml:mi mathvariant="bold-italic">E</mml:mi>
<mml:mi mathvariant="bold-italic">I</mml:mi>
</mml:mrow>
</mml:msub>
<mml:msub>
<mml:mi mathvariant="bold-italic">&#x3b4;</mml:mi>
<mml:mrow>
<mml:mi mathvariant="bold-italic">S</mml:mi>
<mml:mi mathvariant="bold-italic">S</mml:mi>
<mml:mi mathvariant="bold-italic">R</mml:mi>
<mml:mi mathvariant="bold-italic">E</mml:mi>
<mml:mi mathvariant="bold-italic">I</mml:mi>
</mml:mrow>
</mml:msub>
<mml:mo>&#x2b;</mml:mo>
<mml:msub>
<mml:mi mathvariant="bold-italic">I</mml:mi>
<mml:mrow>
<mml:mi mathvariant="bold-italic">E</mml:mi>
<mml:mi mathvariant="bold-italic">C</mml:mi>
<mml:mi mathvariant="bold-italic">C</mml:mi>
<mml:mi mathvariant="bold-italic">E</mml:mi>
<mml:mi mathvariant="bold-italic">I</mml:mi>
</mml:mrow>
</mml:msub>
<mml:msub>
<mml:mi mathvariant="bold-italic">&#x3b4;</mml:mi>
<mml:mrow>
<mml:mi mathvariant="bold-italic">E</mml:mi>
<mml:mi mathvariant="bold-italic">C</mml:mi>
<mml:mi mathvariant="bold-italic">C</mml:mi>
<mml:mi mathvariant="bold-italic">E</mml:mi>
<mml:mi mathvariant="bold-italic">I</mml:mi>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:math>
<label>(6)</label>
</disp-formula>
</p>
<p>Where <inline-formula id="inf26">
<mml:math id="m32">
<mml:mrow>
<mml:msub>
<mml:mi>I</mml:mi>
<mml:mrow>
<mml:mn>3</mml:mn>
<mml:mi>E</mml:mi>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> represents low-carbon development comprehensive efficiency; <inline-formula id="inf27">
<mml:math id="m33">
<mml:mrow>
<mml:msub>
<mml:mi>I</mml:mi>
<mml:mrow>
<mml:mi>E</mml:mi>
<mml:mi>L</mml:mi>
<mml:mi>D</mml:mi>
<mml:mi>E</mml:mi>
<mml:mi>I</mml:mi>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula>, <inline-formula id="inf28">
<mml:math id="m34">
<mml:mrow>
<mml:msub>
<mml:mi>I</mml:mi>
<mml:mrow>
<mml:mi>S</mml:mi>
<mml:mi>S</mml:mi>
<mml:mi>R</mml:mi>
<mml:mi>E</mml:mi>
<mml:mi>I</mml:mi>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> and <inline-formula id="inf29">
<mml:math id="m35">
<mml:mrow>
<mml:msub>
<mml:mi>I</mml:mi>
<mml:mrow>
<mml:mi>E</mml:mi>
<mml:mi>C</mml:mi>
<mml:mi>C</mml:mi>
<mml:mi>E</mml:mi>
<mml:mi>I</mml:mi>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> represent economic, social, and ecological low-carbon development efficiency, respectively; <inline-formula id="inf30">
<mml:math id="m36">
<mml:mrow>
<mml:msub>
<mml:mi>&#x3b4;</mml:mi>
<mml:mrow>
<mml:mi>E</mml:mi>
<mml:mi>L</mml:mi>
<mml:mi>D</mml:mi>
<mml:mi>E</mml:mi>
<mml:mi>I</mml:mi>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula>, <inline-formula id="inf31">
<mml:math id="m37">
<mml:mrow>
<mml:msub>
<mml:mi>&#x3b4;</mml:mi>
<mml:mrow>
<mml:mi>S</mml:mi>
<mml:mi>S</mml:mi>
<mml:mi>R</mml:mi>
<mml:mi>E</mml:mi>
<mml:mi>I</mml:mi>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula>, <inline-formula id="inf32">
<mml:math id="m38">
<mml:mrow>
<mml:msub>
<mml:mi>&#x3b4;</mml:mi>
<mml:mrow>
<mml:mi>E</mml:mi>
<mml:mi>C</mml:mi>
<mml:mi>C</mml:mi>
<mml:mi>E</mml:mi>
<mml:mi>I</mml:mi>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> represent the corresponding weighting coefficients. The weights for the indicators were determined using the Delphi method. Ten experts were invited to assign weights to the three indicators, considering the close link between regional carbon emissions and economic development, as well as the strong carbon sequestration capacity of forests. After the experts&#x2019; opinions were synthesized, a high consensus was achieved. Consequently, the arithmetic mean was adopted, resulting in final weights of 0.4, 0.2, and 0.4 for <inline-formula id="inf33">
<mml:math id="m39">
<mml:mrow>
<mml:msub>
<mml:mi>&#x3b4;</mml:mi>
<mml:mrow>
<mml:mi>E</mml:mi>
<mml:mi>L</mml:mi>
<mml:mi>D</mml:mi>
<mml:mi>E</mml:mi>
<mml:mi>I</mml:mi>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula>, <inline-formula id="inf34">
<mml:math id="m40">
<mml:mrow>
<mml:msub>
<mml:mi>&#x3b4;</mml:mi>
<mml:mrow>
<mml:mi>S</mml:mi>
<mml:mi>S</mml:mi>
<mml:mi>R</mml:mi>
<mml:mi>E</mml:mi>
<mml:mi>I</mml:mi>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula>, <inline-formula id="inf35">
<mml:math id="m41">
<mml:mrow>
<mml:msub>
<mml:mi>&#x3b4;</mml:mi>
<mml:mrow>
<mml:mi>E</mml:mi>
<mml:mi>C</mml:mi>
<mml:mi>C</mml:mi>
<mml:mi>E</mml:mi>
<mml:mi>I</mml:mi>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula>, respectively.</p>
</sec>
</sec>
<sec id="s3-3">
<title>3.3 Low-carbon zoning method</title>
<p>The Normalized Revealed Comparative Advantage Index (NRCA) is primarily employed to evaluate competitive advantages in specific industries or products at regional scales. Building on Balassa&#x2019;s Revealed Comparative Advantage Index (RCA) (<xref ref-type="bibr" rid="B1">Balassa, 1965</xref>) and incorporating methodological refinements by <xref ref-type="bibr" rid="B36">Yu et al. (2009)</xref>, this study adapts the NRCA Index to assess comparative advantages in multi-dimensional low-carbon development efficiency, as formalized in <xref ref-type="disp-formula" rid="e7">Equation 7</xref>. This approach enables scientifically robust identification of regional strengths within low-carbon transition processes.<disp-formula id="e7">
<mml:math id="m42">
<mml:mrow>
<mml:msubsup>
<mml:mrow>
<mml:mi mathvariant="bold-italic">L</mml:mi>
<mml:mi mathvariant="bold-italic">C</mml:mi>
<mml:mi mathvariant="bold-italic">N</mml:mi>
<mml:mi mathvariant="bold-italic">R</mml:mi>
<mml:mi mathvariant="bold-italic">C</mml:mi>
<mml:mi mathvariant="bold-italic">A</mml:mi>
</mml:mrow>
<mml:mi mathvariant="bold-italic">j</mml:mi>
<mml:mi mathvariant="bold-italic">i</mml:mi>
</mml:msubsup>
<mml:mo>&#x3d;</mml:mo>
<mml:mfrac>
<mml:mrow>
<mml:msubsup>
<mml:mi mathvariant="bold-italic">X</mml:mi>
<mml:mi mathvariant="bold-italic">j</mml:mi>
<mml:mi mathvariant="bold-italic">i</mml:mi>
</mml:msubsup>
</mml:mrow>
<mml:mrow>
<mml:mi mathvariant="bold-italic">X</mml:mi>
</mml:mrow>
</mml:mfrac>
<mml:mo>&#x2212;</mml:mo>
<mml:mfrac>
<mml:mrow>
<mml:msub>
<mml:mi mathvariant="bold-italic">X</mml:mi>
<mml:mi mathvariant="bold-italic">j</mml:mi>
</mml:msub>
<mml:msup>
<mml:mi mathvariant="bold-italic">X</mml:mi>
<mml:mi mathvariant="bold-italic">i</mml:mi>
</mml:msup>
</mml:mrow>
<mml:mrow>
<mml:mi mathvariant="bold-italic">X</mml:mi>
<mml:mi mathvariant="bold-italic">X</mml:mi>
</mml:mrow>
</mml:mfrac>
</mml:mrow>
</mml:math>
<label>(7)</label>
</disp-formula>
</p>
<p>Where <inline-formula id="inf36">
<mml:math id="m43">
<mml:mrow>
<mml:msubsup>
<mml:mrow>
<mml:mi>L</mml:mi>
<mml:mi>C</mml:mi>
<mml:mi>N</mml:mi>
<mml:mi>R</mml:mi>
<mml:mi>C</mml:mi>
<mml:mi>A</mml:mi>
</mml:mrow>
<mml:mi>j</mml:mi>
<mml:mi>i</mml:mi>
</mml:msubsup>
</mml:mrow>
</mml:math>
</inline-formula> represents the comparative advantage index of low-carbon development efficiency in dimension <inline-formula id="inf37">
<mml:math id="m44">
<mml:mrow>
<mml:mi>j</mml:mi>
</mml:mrow>
</mml:math>
</inline-formula> for district i; <inline-formula id="inf38">
<mml:math id="m45">
<mml:mrow>
<mml:mi>j</mml:mi>
</mml:mrow>
</mml:math>
</inline-formula> represents the dimensions of low-carbon development efficiency; <inline-formula id="inf39">
<mml:math id="m46">
<mml:mrow>
<mml:msubsup>
<mml:mi>X</mml:mi>
<mml:mi>j</mml:mi>
<mml:mi>i</mml:mi>
</mml:msubsup>
</mml:mrow>
</mml:math>
</inline-formula> represents the low carbon development efficiency in dimension <inline-formula id="inf40">
<mml:math id="m47">
<mml:mrow>
<mml:mi>j</mml:mi>
</mml:mrow>
</mml:math>
</inline-formula> for district <inline-formula id="inf41">
<mml:math id="m48">
<mml:mrow>
<mml:mi>i</mml:mi>
</mml:mrow>
</mml:math>
</inline-formula>; <inline-formula id="inf42">
<mml:math id="m49">
<mml:mrow>
<mml:msub>
<mml:mi>X</mml:mi>
<mml:mi>j</mml:mi>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> represents the total efficiency across all districts in dimension <inline-formula id="inf43">
<mml:math id="m50">
<mml:mrow>
<mml:mi>j</mml:mi>
</mml:mrow>
</mml:math>
</inline-formula>; <inline-formula id="inf44">
<mml:math id="m51">
<mml:mrow>
<mml:msup>
<mml:mi>X</mml:mi>
<mml:mi>i</mml:mi>
</mml:msup>
</mml:mrow>
</mml:math>
</inline-formula> represents the total efficiency value of district <inline-formula id="inf45">
<mml:math id="m52">
<mml:mrow>
<mml:mi>i</mml:mi>
</mml:mrow>
</mml:math>
</inline-formula> across three dimensions; <inline-formula id="inf46">
<mml:math id="m53">
<mml:mrow>
<mml:mi>X</mml:mi>
</mml:mrow>
</mml:math>
</inline-formula> represents the total efficiency value across all dimensions and districts. When <inline-formula id="inf47">
<mml:math id="m54">
<mml:mrow>
<mml:msubsup>
<mml:mrow>
<mml:mi>L</mml:mi>
<mml:mi>C</mml:mi>
<mml:mi>N</mml:mi>
<mml:mi>R</mml:mi>
<mml:mi>C</mml:mi>
<mml:mi>A</mml:mi>
</mml:mrow>
<mml:mi>j</mml:mi>
<mml:mi>i</mml:mi>
</mml:msubsup>
</mml:mrow>
</mml:math>
</inline-formula> &#x3e;0, the low-carbon development in District <inline-formula id="inf48">
<mml:math id="m55">
<mml:mrow>
<mml:mi>i</mml:mi>
</mml:mrow>
</mml:math>
</inline-formula> exhibits comparative advantages in dimension <inline-formula id="inf49">
<mml:math id="m56">
<mml:mrow>
<mml:mi>j</mml:mi>
</mml:mrow>
</mml:math>
</inline-formula>, indicating prioritized development potential. Conversely, when <inline-formula id="inf50">
<mml:math id="m57">
<mml:mrow>
<mml:msubsup>
<mml:mrow>
<mml:mi>L</mml:mi>
<mml:mi>C</mml:mi>
<mml:mi>N</mml:mi>
<mml:mi>R</mml:mi>
<mml:mi>C</mml:mi>
<mml:mi>A</mml:mi>
</mml:mrow>
<mml:mi>j</mml:mi>
<mml:mi>i</mml:mi>
</mml:msubsup>
</mml:mrow>
</mml:math>
</inline-formula> &#x3c;0, the low-carbon development in District <inline-formula id="inf51">
<mml:math id="m58">
<mml:mrow>
<mml:mi>i</mml:mi>
</mml:mrow>
</mml:math>
</inline-formula> demonstrates comparative disadvantages in dimension <inline-formula id="inf52">
<mml:math id="m59">
<mml:mrow>
<mml:mi>j</mml:mi>
</mml:mrow>
</mml:math>
</inline-formula>, requiring strategic optimization priority.</p>
</sec>
</sec>
<sec sec-type="results" id="s4">
<title>4 Results</title>
<sec id="s4-1">
<title>4.1 Carbon emission calculation</title>
<sec id="s4-1-1">
<title>4.1.1 Carbon emission calculation of urban sectors</title>
<p>According to the carbon emission calculation method of urban sectors, the total carbon dioxide emissions in Xuzhou City for 2023 are estimated at approximately 92.2701 million tons (<xref ref-type="table" rid="T3">Table 3</xref>). The industrial sector being the largest contributor (75.1773 million tons, 81.47% of total emissions) (<xref ref-type="fig" rid="F4">Figure 4</xref>), primarily originating from industrial land (48.1135 million tons, 52.14%) and public facility land (27.0638 million tons, 29.33%), reflecting the city&#x2019;s reliance on traditional energy sources and a production model characterized by high energy consumption. Residential activities generate 8.4906 million tons (9.2% of total emissions), distributed across residential land (2.2925 million tons), rural homesteads (1.5283 million tons), commercial and service industries land (3.0566 million tons), and public management and public service land (1.6132 million tons). Electricity consumption is the primary emissions source of the construction sector, indicating fossil fuel dependence in power generation. The transportation sector emits 8.1415 million tons (8.82%), linked to transportation land, while emissions from agriculture (1.14%) and waste (1.12%) are comparatively minor. Xuzhou City has limited carbon sink capacity, with carbon-absorbing lands such as forests, grasslands, and water bodies collectively absorbing 1.6133 million tons.</p>
<table-wrap id="T3" position="float">
<label>TABLE 3</label>
<caption>
<p>Carbon emission calculation results of urban sectors.</p>
</caption>
<table>
<thead valign="top">
<tr>
<th align="center">Sectors</th>
<th align="center">Sector carbon emissions (million tons)</th>
<th align="center">Land use types</th>
<th align="center">Land use types carbon emissions (million tons)</th>
</tr>
</thead>
<tbody valign="top">
<tr>
<td rowspan="2" align="center">Industry</td>
<td rowspan="2" align="center">75.1773</td>
<td align="center">Industrial land</td>
<td align="center">48.1135</td>
</tr>
<tr>
<td align="center">Public facilities land</td>
<td align="center">27.0638</td>
</tr>
<tr>
<td rowspan="4" align="center">Construction</td>
<td rowspan="4" align="center">8.4906</td>
<td align="center">Urban residential land</td>
<td align="center">2.2925</td>
</tr>
<tr>
<td align="center">Rural homesteads</td>
<td align="center">1.5283</td>
</tr>
<tr>
<td align="center">Commercial and service industries land</td>
<td align="center">3.0566</td>
</tr>
<tr>
<td align="center">Public management and service land</td>
<td align="center">1.6132</td>
</tr>
<tr>
<td align="center">Traffic</td>
<td align="center">8.1415</td>
<td align="center">Transportation land</td>
<td align="center">8.1415</td>
</tr>
<tr>
<td rowspan="2" align="center">Agriculture</td>
<td rowspan="2" align="center">1.0481</td>
<td align="center">Farmland and garden</td>
<td align="center">0.9852</td>
</tr>
<tr>
<td align="center">Facility agricultural land</td>
<td align="center">0.0629</td>
</tr>
<tr>
<td rowspan="2" align="center">Waste</td>
<td rowspan="2" align="center">1.0259</td>
<td align="center">Industrial land</td>
<td align="center">0.0036</td>
</tr>
<tr>
<td align="center">Public facilities land</td>
<td align="center">1.0223</td>
</tr>
<tr>
<td rowspan="2" align="center">Carbon sink</td>
<td rowspan="2" align="center">&#x2212;1.6133</td>
<td align="center">Farmland and garden</td>
<td align="center">&#x2212;0.4679</td>
</tr>
<tr>
<td align="center">Forest land, grassland and water area</td>
<td align="center">&#x2212;1.1454</td>
</tr>
</tbody>
</table>
</table-wrap>
<fig id="F4" position="float">
<label>FIGURE 4</label>
<caption>
<p>Proportion of carbon emissions by departments and land use. Source: authors.</p>
</caption>
<graphic xlink:href="fenvs-13-1636744-g004.tif">
<alt-text content-type="machine-generated">Concentric ring chart showing percentages of land-use carbon emissions. Inner ring: Industry 80.07%, Construction 9.04%, Traffic 8.67%, Agriculture 1.14%, Waste 1.12%. Outer ring: Industrial land 51.25%, Public facilities land 28.83%, Transportation land 8.67%. Additional categories include Urban residential, Rural homesteads, and various service lands. Color legend provided.</alt-text>
</graphic>
</fig>
</sec>
<sec id="s4-1-2">
<title>4.1.2 Carbon emission calculation of urban territorial spaces</title>
<p>Based on the carbon emission calculation method for urban territorial spaces, an appropriate spatial allocation method was employed to distribute carbon emissions from various sectors across specific land-use categories within the city. Utilizing the administrative boundaries data of each district and county, carbon emissions and sink levels for Xuzhou City were compiled (<xref ref-type="fig" rid="F5">Figure 5</xref>). The results indicate that total carbon emissions across counties and districts range from 2.28 to 17.23 million tons (average: 9.39 million tons). Notably, Gulou District and Yunlong District exhibit the lowest emissions, while Suining County and Pizhou County are identified as high-emission zones. Spatial visualization of carbon emissions reveals a distinct pattern characterized by &#x201c;higher emissions in the east and west, and lower emissions in the center&#x201d;, with a pronounced low-carbon core in the central urban area. In contrast, Suining County and Pizhou County have developed into high-carbon-emission cores in eastern and central Xuzhou. Regarding carbon sinks, the total sequestration across counties and districts ranges from 3,000 to 320,000 tons (average: 290,000 tons). Gulou District and Quanshan District demonstrate minimal sequestration capacity, whereas Tongshan District and Pizhou County contribute significantly to carbon sinks. The spatial distribution of carbon sinks follows a &#x201c;low-central, high-peripheral, and concentric&#x201d; structure. A low carbon-sink core dominates the central urban area, while peripheral counties and districts form a high-value carbon-sink belt, exhibiting a circular spatial trend.</p>
<fig id="F5" position="float">
<label>FIGURE 5</label>
<caption>
<p>Carbon emissions and sink of district and county units in Xuzhou City. <bold>(a)</bold> Carbon emissions; <bold>(b)</bold> carbon sinks. Source: authors.</p>
</caption>
<graphic xlink:href="fenvs-13-1636744-g005.tif">
<alt-text content-type="machine-generated">Two maps depict regions of Xuzhou City colored to show carbon emissions and carbon sinks. The left map uses shades of red to represent carbon emissions, ranging from low to high. The right map uses shades of green to indicate carbon sinks, also ranging from low to high. Each map includes a legend with specific ranges. Regions like Suiningxian and Peixian are labeled, with directional indicators and a scale in kilometers.</alt-text>
</graphic>
</fig>
</sec>
</sec>
<sec id="s4-2">
<title>4.2 Low-carbon development efficiency calculation</title>
<sec id="s4-2-1">
<title>4.2.1 Economic low-carbon development efficiency</title>
<p>The Economic Low-Carbon Development Efficiency Index (ELDEI) is employed to assess the low-carbon economic performance of district and county units in Xuzhou City. According to the results presented in <xref ref-type="fig" rid="F6">Figure 6</xref>, the ELDEI values across Xuzhou&#x2019;s districts and counties range from 0.53 to 3.72. Five districts and counties (50% of the total) exhibit values exceeding 1, with Quanshan District and Yunlong District demonstrating the highest efficiency. In contrast, Suining County and Feng County show the lowest efficiency, with ELDEI values below 1. Beyond these numerical disparities, a distinct &#x201c;high-central, low-peripheral&#x201d; spatial structure characterizes the low-carbon economic efficiency. The central urban area forms a high-efficiency core, surrounded by elevated efficiency zones in a semi-enclosed pattern. Moderately efficient areas cluster in the eastern region, while low-efficiency zones dominate the western and southern parts of the city. This spatial variation can be primarily attributed to differences in industrial functional positioning. The central urban area&#x2019;s high reliance on tertiary industries (e.g., services and technology) minimizes carbon emissions per unit of economic output, enhancing economic low-carbon efficiency. Conversely, peripheral counties depend on traditional energy-intensive industries, resulting in structural disadvantages and lower efficiency.</p>
<fig id="F6" position="float">
<label>FIGURE 6</label>
<caption>
<p>Low-carbon development efficiency of district and county units in Xuzhou City. <bold>(a)</bold> Economic low-carbon development efficiency; <bold>(b)</bold> social shared-carbon responsibility efficiency. Source: authors.</p>
</caption>
<graphic xlink:href="fenvs-13-1636744-g006.tif">
<alt-text content-type="machine-generated">Map shows low-carbon development efficiency of district and county units in Xuzhou City: (a) Economic Low-carbon Development Efficiency and (b) Social Share-carbon Responsibility Efficiency. Each map uses a color gradient from green (low) to dark red (high) to represent efficiency levels in regions like Fengxian, Peixian, and Xinyi. Legends indicate index values corresponding to each color, providing a visual assessment of regional efficiency variations. North direction is marked with a compass rose.</alt-text>
</graphic>
</fig>
</sec>
<sec id="s4-2-2">
<title>4.2.2 Social shared-carbon responsibility efficiency</title>
<p>The Social Shared-Carbon Responsibility Efficiency Index (SSREI) is employed to measure the consumption of territorial carbon resources and the corresponding shared responsibilities for emission reductions. It reflects the relative social low-carbon development levels across districts and counties in Xuzhou City. It can be seen from <xref ref-type="fig" rid="F6">Figure 6</xref> that the SSREI values range from 0.73 to 1.24 across districts and counties. Only two districts and counties (20% of the total) exceed an SSREI of 1, with Tongshan District and Pei County demonstrating the highest efficiency. In contrast, Suining County and Gulou District exhibit the lowest SSREI values. Beyond the numerical values, the spatial distribution of SSREI follows a distinct &#x201c;high in the west and north, low in the center and east&#x201d; structural pattern. High- and higher-efficiency zones cluster in the western and northern regions, while moderate-efficiency areas scatter across the north-central parts. Low- and lower-efficiency regions dominate the central urban area and eastern periphery. This pronounced spatial disparity can be explained by variations in per capita carbon resource consumption and emissions density. Higher consumption and density in the central urban area lead to larger carbon shares, necessitating greater responsibility for emission reductions. Production and living activities in this core zone are associated with elevated carbon costs and constrained emission rights. Conversely, northwestern peripheral districts and counties experience lower carbon demands, enabling relatively higher social low-carbon development levels.</p>
</sec>
<sec id="s4-2-3">
<title>4.2.3 Ecological carrying carbon-sink efficiency</title>
<p>The Ecological Carrying Carbon-Sink Efficiency (ECCEI) is utilized to assess the ecological carbon sink capacity of districts and counties. According to the results presented in <xref ref-type="fig" rid="F7">Figure 7</xref>, the overall ECCEI for districts and counties within Xuzhou City ranges from 0.08 to 1.42. A total of five areas exhibit ECCEI values greater than 1, accounting for 50%, while the remaining five areas have ECCEI values below 1. Specifically, Tongshan District and Feng County demonstrate relatively high levels of ecological carrying carbon-sink efficiency, whereas Quanshan District and Gulou District exhibit relatively low levels. Spatially, the ECCEI exhibits a distinct pattern characterized by &#x201c;high in the surrounding areas and low in the center.&#x201d; In detail, high-value and higher-value clusters are predominantly found in the western and eastern edge districts and counties within urban areas, where the ecological carbon sink capacity is notably strong. In contrast, the low-value cluster, centered around Gulou and Quanshan districts, is surrounded by high-efficiency areas. This central area exhibits a critical mismatch between ecological absorption and carbon emissions, resulting in an inefficient level of ecological carbon sink capacity. This spatial pattern can be primarily attributed to the natural ecological basis, which serves as the main body of carbon sink, providing the foundation for the spatial ecological carbon sink capacity. However, the insufficient integrity of the ecological network results in notable disparities in the level of ecological carbon sink capacity across urban territories. Furthermore, the continuous expansion of downtown has led to the encroachment of ecological spaces, thereby disrupting the balance between carbon emissions and carbon absorption.</p>
<fig id="F7" position="float">
<label>FIGURE 7</label>
<caption>
<p>Low-carbon development efficiency of district and county units in Xuzhou City. <bold>(a)</bold> Ecological carrying carbon-sink efficiency; <bold>(b)</bold> low-carbon development comprehensive efficiency. Source: authors.</p>
</caption>
<graphic xlink:href="fenvs-13-1636744-g007.tif">
<alt-text content-type="machine-generated">Map shows low-carbon development efficiency of district and county units in Xuzhou City: (a) Ecological carrying Carbon-sink Efficiency and (b) Low-carbon Development Comprehensive Efficiency. Colored areas correspond to efficiency levels: green for low, yellow for lower, orange for median, brown for higher, and dark red for high. Each map includes a north arrow and scale in kilometers.</alt-text>
</graphic>
</fig>
</sec>
<sec id="s4-2-4">
<title>4.2.4 Low-carbon development comprehensive efficiency</title>
<p>The Low-Carbon Development Comprehensive Efficiency reflects the relative level of low-carbon comprehensive development across districts and counties within the city. It can be seen from <xref ref-type="fig" rid="F7">Figure 7</xref> that the overall low-carbon development comprehensive efficiency among districts and counties in Xuzhou City ranges from 0.74 to 1.71. Notably, Quanshan District and Tongshan District exhibit relatively high levels of low-carbon-development comprehensive efficiency, whereas Suining County and Jiawang District demonstrate comparatively lower levels. Spatially, this efficiency exhibits a distinct spatial structure characterized by a &#x201c;high-value-strip distribution and low-value dispersed distribution.&#x201d; To elaborate, high-value and higher-value clusters are concentrated along a north-south strip extending from Pei County to Tongshan District. Meanwhile, the median-value areas are predominantly concentrated in the eastern part of the city. In contrast, regions with low value and lower value are primarily dispersed along the urban fringe districts and counties. This spatial pattern arises primarily because in high-efficiency areas, there is a spatially integrated and proportionally balanced distribution of carbon sources and sinks. This balance is complemented by the generation of substantial socioeconomic value from specific carbon resources, which collectively fosters favorable conditions for low-carbon comprehensive development. Conversely, the spatial configurations of districts and counties with lower efficiency levels are relatively simplistic, lacking integrated and contiguous layouts, with poor coordination between carbon emissions and sinks. Furthermore, economic output in these areas is heavily dependent on high-carbon consumption, which represents the primary obstacle hindering the region&#x2019;s overall low-carbon development.</p>
</sec>
</sec>
<sec id="s4-3">
<title>4.3 Low-carbon zoning</title>
<sec id="s4-3-1">
<title>4.3.1 Classification basis for low-carbon zoning</title>
<p>To clarify the strategic directions for low-carbon development across districts and counties, the NRCA Index values for low-carbon development efficiency are calculated across various dimensions. These values form the basis for spatial zoning, enabling low-carbon zoning within Xuzhou City. Based on the zoning outcomes, differentiated and context-specific low-carbon pathways and strategies are proposed to foster comprehensive green transformation of urban economic and social development.</p>
<p>Research indicates that an NRCA Index value greater than 0 signifies that a spatial unit holds a competitive advantage in low-carbon development within a specific dimension. Conversely, a value of 0 or less indicates a lack of advantage, marking these areas as key targets for future optimization in low-carbon development. Thus, 0 serves as the threshold for all NRCA Indices. Based on the NRCA Indices in economic, social, and ecological dimensions, district and county units can be categorized into five advantage zones, namely, economically advantaged low-carbon zones, socially advantaged low-carbon zones, ecologically advantaged low-carbon zones, economically-socially advantaged low-carbon zones, and socially-ecologically advantaged low-carbon zones (<xref ref-type="table" rid="T4">Table 4</xref>).</p>
<table-wrap id="T4" position="float">
<label>TABLE 4</label>
<caption>
<p>Classification basis for low-carbon zoning.</p>
</caption>
<table>
<thead valign="top">
<tr>
<th align="left">Low-carbon zones</th>
<th align="left">Classification basis</th>
<th align="left">Advantageous direction of low-carbon development</th>
</tr>
</thead>
<tbody valign="top">
<tr>
<td align="left">economically advantaged low-carbon zone</td>
<td align="left">L<sub>ELDEI</sub> &#x3e;0, L<sub>SSREI</sub> &#x3c;0, L<sub>ECCEI</sub> &#x3c;0</td>
<td align="left">Low carbon development in the economic dimension has advantages</td>
</tr>
<tr>
<td align="left">socially advantaged low-carbon zone</td>
<td align="left">L<sub>ELDEI</sub> &#x3c;0, L<sub>SSREI</sub> &#x3e;0, L<sub>ECCEI </sub>&#x3c;0</td>
<td align="left">Low carbon development in the social dimension has advantages</td>
</tr>
<tr>
<td align="left">ecologically advantaged low-carbon zone</td>
<td align="left">L<sub>ELDEI</sub> &#x3c;0, L<sub>SSREI</sub> &#x3c;0, L<sub>ECCEI</sub> &#x3e;0</td>
<td align="left">Low carbon development in the ecological dimension has advantages</td>
</tr>
<tr>
<td align="left">economically-socially advantaged low-carbon zone</td>
<td align="left">L<sub>ELDEI</sub> &#x3e;0, L<sub>SSREI</sub> &#x3e;0, L<sub>ECCEI</sub> &#x3c;0</td>
<td align="left">Low carbon development in both economic and social dimensions have advantages</td>
</tr>
<tr>
<td align="left">socially-ecologically advantaged low-carbon zone</td>
<td align="left">L<sub>ELDEI</sub> &#x3c;0, L<sub>SSREI</sub> &#x3e;0, L<sub>ECCEI</sub> &#x3e;0</td>
<td align="left">Low carbon development in both social and ecological dimensions have advantages</td>
</tr>
</tbody>
</table>
<table-wrap-foot>
<fn>
<p>L<sub>LELDEI</sub>, represents the NRCA, Index for economic low-carbon development efficiency; L<sub>SSREI</sub>, represents the NRCA, Index for social shared-carbon responsibility efficiency; L<sub>ECCEI</sub>, represents the NRCA, Index for ecological carrying carbon-sink efficiency.</p>
</fn>
</table-wrap-foot>
</table-wrap>
</sec>
<sec id="s4-3-2">
<title>4.3.2 Spatial distribution of low-carbon zones</title>
<p>Based on the low-carbon zoning approach, the results of the zoning analysis for Xuzhou City are illustrated in <xref ref-type="fig" rid="F8">Figure 8</xref>. The economically advantaged low-carbon zone is characterized by high energy utilization efficiency and carbon emission efficiency, reflecting strengths exclusively in the economic dimension of low-carbon development. Two district and county units fall into this category, primarily located within the central urban area of Xuzhou. These units serve as core drivers of the city&#x2019;s economic growth, where elevated economic output is accompanied by considerable carbon emissions, yet also by high economic returns. Although these zones exhibit superior carbon emission efficiency, they bear significant carbon reduction responsibilities and display relatively limited ecological carrying capacity.</p>
<fig id="F8" position="float">
<label>FIGURE 8</label>
<caption>
<p>Spatial pattern of low carbon zoning in Xuzhou city. Source: authors.</p>
</caption>
<graphic xlink:href="fenvs-13-1636744-g008.tif">
<alt-text content-type="machine-generated">Map illustrating low-carbon zoning types in various regions. Fengxian, Jiawang, Suiningxian, and Xinyi are marked as ecologically advantaged zones with green diagonal stripes. Peixian, Tongshan, and Pizhou are socially-ecologically advantaged zones with light yellow stripes. Economically-socially advantaged zones include marked areas around Xinbei and Gulou with red stripes. A scale and compass are included.</alt-text>
</graphic>
</fig>
<p>In contrast, the socially advantaged low-carbon zone demonstrates advantages only in social low-carbon development. These zones are marked by relatively low shared carbon responsibility, moderate pressure for emission reduction, and appropriate carbon emission density. Two district and county units are identified as socially advantaged, mainly distributed across the central and western parts of the city. These areas show lower carbon emission intensity in terms of both population and land use, leading to more generous allocations of carbon emission rights. However, they require further enhancement in economic and ecological aspects of low-carbon development. The ecologically advantaged low-carbon zone exhibits strengths solely in ecological low-carbon development, with notable carbon sequestration benefits and high ecological carrying capacity. Four district and county units are classified into this category, predominantly situated in the northwestern and southeastern periphery of Xuzhou. These regions are endowed with abundant carbon sink resources and maintain relatively low carbon emission levels. Nevertheless, their carbon emission efficiency remains suboptimal, and they are faced with considerable carbon reduction obligations.</p>
<p>Additionally, the economically-socially advantaged low-carbon zone combines advantages in both economic and social dimensions, featuring high carbon emission efficiency and relatively manageable carbon reduction pressure. At present, only Yunlong District is assigned to this zone type. Such areas actively foster low-carbon economic development and benefit from substantial carbon emission rights allocations, though they still need to strengthen their ecological performance. Finally, the socially-ecologically advantaged low-carbon zone possesses dual strengths in social and ecological low-carbon development, characterized by strong ecological carbon sink capacity and relatively low carbon reduction pressure. Currently, only Pizhou County is categorized under this type. It demonstrates a high carbon compensation rate alongside low per-capita and land-based carbon emission intensity, yet economic low-carbon development in this zone requires further improvement.</p>
</sec>
</sec>
<sec id="s4-4">
<title>4.4 Differentiated low-carbon development strategy based on low-carbon zoning</title>
<p>To achieve a dynamic equilibrium between economic development and ecological conservation, it is essential to establish a multidimensional low-carbon synergy system through differentiated zonal strategies. For economically advantaged low-carbon zones, measures should include implementing ecological redline zoning to restrict high-emission projects in sensitive areas, along with promoting investments in afforestation, wetland restoration, and urban green corridors to strengthen carbon sequestration. Governments are advised to introduce carbon tax incentives for industries transitioning to clean energy and enforce standardized carbon footprint disclosures for major enterprises. In socially advantaged low-carbon zones, policymakers should enforce sector-specific carbon caps in key areas such as construction and manufacturing, while subsidizing distributed renewable energy systems&#x2014;including rooftop solar and community microgrids. These efforts ought to be complemented by public awareness campaigns advocating low-carbon lifestyles and the incorporation of carbon credit mechanisms into urban planning.</p>
<p>Ecologically advantaged low-carbon zones are encouraged to pilot net-zero industrial parks that emphasize closed-loop resource utilization&#x2014;such as waste-to-energy conversion and agroforestry systems&#x2014;and to establish regional carbon trading platforms to incentivize emission reductions while funding biodiversity corridor projects. In economically-socially advantaged low-carbon zones, integrated solutions are critical, such as deploying smart grids and sponge city infrastructure to enhance climate resilience, issuing green bonds to support eco-friendly public transportation, and aligning fiscal policies with carbon performance metrics. In socially-ecologically advantaged low-carbon zones, development should focus on circular economy hubs (e.g., industrial recycling clusters and low-impact eco-tourism), with support from R&#x26;D tax incentives for advanced technologies such as carbon capture and hydrogen energy. It is also crucial that regional GDP growth targets be realigned with Sustainable Development Goal (SDG)-based decarbonization indicators.</p>
<p>Overall, system-wide coordination is necessary to harmonize carbon management frameworks across all zones, leverage differentiated resilience-building pathways, and ultimately achieve bidirectional optimization of emission structures and ecosystem service functions. Cross-regional ecological compensation mechanisms and AI-enhanced carbon monitoring systems will further help balance developmental disparities and strengthen the city&#x2019;s integrated low-carbon governance.</p>
</sec>
<sec id="s4-5">
<title>4.5 Spatial trade-offs and underlying mechanisms in urban low-carbon development</title>
<p>The spatial distribution of low-carbon zones, as identified by our NRCA-based analysis, reveals a distinct center-periphery pattern that is intrinsically linked to the city&#x2019;s socioeconomic gradients and land-use configuration. This pattern largely corroborates and extends the foundational research on urban spatial differentiation (<xref ref-type="bibr" rid="B42">Zhao et al., 2014</xref>). Specifically, the classification of peripheral counties as ecologically advantaged zones aligns with expectations, given their abundance of carbon sink entities and robust ecological carrying capacity. Conversely, the central urban areas, characterized by a dominant tertiary sector and rationalized industrial structure, logically emerge as economically advantaged zones due to their higher carbon emission economic efficiency (<xref ref-type="bibr" rid="B25">Shan et al., 2018b</xref>). However, our findings add a critical nuance that the high economic efficiency in the core comes at the cost of ecological space, as urban expansion encroaches on carbon sinks, creating a tangible trade-off between economic and ecological advantages within the urban system. This observation on the link between spatial form and environmental efficiency is further supported by <xref ref-type="bibr" rid="B43">Yang et al. (2022)</xref>, who quantified the impact of urban compactness on resource use in Chinese cities.</p>
<p>This observed trade-off resonates with the theoretical framework of land-use conflict in rapidly urbanizing regions (<xref ref-type="bibr" rid="B22">Seto et al., 2011</xref>). More importantly, the emergence of socially advantaged zones in central and western districts, marked by lower carbon emission density, suggests that factors like population density and spatial scale are pivotal independent determinants of low-carbon development. This finding partially diverges from studies that primarily correlate low-carbon performance with either economic structure or ecological endowment alone (<xref ref-type="bibr" rid="B28">Strohbach and Haase, 2012</xref>; <xref ref-type="bibr" rid="B21">Qin and Liu, 2022</xref>). It underscores the value of our multi-dimensional framework in uncovering the complex, and sometimes countervailing, forces at play. This approach is consistent with a multi-dimensional zoning scheme recently applied to the Yangtze River Delta, which identified zones with distinct economic, social, and ecological low-carbon advantages (<xref ref-type="bibr" rid="B5">Fan et al., 2024</xref>). Similarly, certain central urban areas exhibit advantages in economy and society, owing to their relatively favorable carbon emission scales and lower per capita and land emissions. The distribution patterns and characteristics of these low-carbon zones share similarities with findings from prior research (<xref ref-type="bibr" rid="B2">Chen et al., 2022</xref>).</p>
<p>From a theoretical perspective, the success of the NRCA index in mapping these relative advantages demonstrates the utility of integrating comparative advantage theory from economics into spatial environmental planning. It moves beyond conventional efficiency rankings (<xref ref-type="bibr" rid="B38">Zhang et al., 2015</xref>) by providing a relational understanding of a region&#x2019;s strengths relative to the system as a whole. A key limitation of this zoning approach, however, is its static nature, capturing a snapshot in time. Future research should incorporate temporal dynamics to track the evolution of these advantages and the effectiveness of differentiated policies. This need for a dynamic perspective is echoed in recent work by <xref ref-type="bibr" rid="B39">Zhang et al. (2025)</xref>, which emphasizes that sustaining long-term advantages requires synergistic advancements in green innovation and ecological resilience, alongside stronger cross-regional coordination. Nevertheless, by explicitly linking zone-specific characteristics to actionable optimization pathways, this study translates the theoretical concept of spatially differentiated governance into a practical tool for policymakers seeking to balance developmental and environmental goals.</p>
</sec>
</sec>
<sec sec-type="conclusion" id="s5">
<title>5 Conclusion</title>
<p>This study establishes a high-precision spatial allocation method for carbon emissions using geospatial big data, enabling refined estimation of carbon emissions across urban territorial space. An integrated multidimensional evaluation system was further developed to assess socio-economic-ecological efficiency in low-carbon development, through which spatial heterogeneity within the study area was systematically examined. Based on the efficiency assessment results, a multidimensional zoning framework was constructed to support low-carbon spatial planning at the district and county level. The total carbon emissions of Xuzhou City were calculated as 92.27 million tons, with the industrial sector accounting for 81.47% of emissions, underscoring the city&#x2019;s heavy reliance on traditional energy sources. Industrial land use exhibited the highest emission intensity, while the carbon sink capacity was substantially outweighed by emissions, indicating limited offset potential from ecological resources. Significant spatial heterogeneity was observed in both emissions and sinks, with most spatial units showing a clear mismatch between emission levels and sequestration capability.</p>
<p>The low-carbon development efficiency also displayed notable spatial variation across economic, social, and ecological dimensions, reflecting inherent disparities in regional socio-economic development patterns. Based on the proposed zoning methodology, district and county units were classified into five types of low-carbon advantaged zones. Results reveal that multi-dimensional advantaged zones remain scarce, suggesting that current urban spatial planning has yet to fully integrate coordinated low-carbon development across economic, social, and ecological perspectives. Spatially tailored strategies are therefore necessary to promote a transition from single-dimensional to multi-dimensional low-carbon advantages.</p>
<p>It should be noted that the low-carbon strategy proposed in this study focuses primarily on emission reduction targets, without fully accounting for inter-regional differences in socio-economic conditions and natural resource endowments. This limits its compatibility with the broader objectives of territorial spatial planning. While this research has contributed methodologies for carbon emission accounting, efficiency evaluation, and zoning, future work should explore the underlying factors influencing efficiency disparities. Further integration of low-carbon zoning outcomes with urban functional area planning could help optimize spatial structures and enhance the effectiveness of urban low-carbon governance, ultimately supporting the achievement of high-quality, sustainable urban development.</p>
</sec>
</body>
<back>
<sec sec-type="data-availability" id="s6">
<title>Data availability statement</title>
<p>The original contributions presented in the study are included in the article/supplementary material, further inquiries can be directed to the corresponding authors.</p>
</sec>
<sec sec-type="author-contributions" id="s7">
<title>Author contributions</title>
<p>PL: Methodology, Conceptualization, Project administration, Investigation, Funding acquisition, Supervision, Writing &#x2013; review and editing, Writing &#x2013; original draft, Formal Analysis. XJ: Writing &#x2013; original draft, Writing &#x2013; review and editing, Data curation, Software, Funding acquisition. DW: Investigation, Resources, Software, Supervision, Data curation, Visualization, Project administration, Writing &#x2013; review and editing. DJ: Investigation, Writing &#x2013; review and editing, Project administration, Methodology, Supervision. XH: Validation, Visualization, Funding acquisition, Writing &#x2013; review and editing, Investigation.</p>
</sec>
<sec sec-type="funding-information" id="s8">
<title>Funding</title>
<p>The author(s) declare that financial support was received for the research and/or publication of this article. This research was funded by the National Key Research and Development Program of China grant number 2018YFD1100200, General Project of Philosophy and Social Science Research in Colleges and Universities of Jiangsu Province&#x201d; Research on the Construction of Aging Adaptability Residential Environment in Northern Jiangsu Based on Climate Comfort Optimization&#x201d; grant number 2021SJA1107 and Jiangsu Collaborative Innovation Center for Building Energy Saving and Construct Technology Major Research Fund Program Project Grant No. SJXTZD21051.</p>
</sec>
<sec sec-type="COI-statement" id="s9">
<title>Conflict of interest</title>
<p>The authors declare that the research was conducted in the absence of any commercial or financial relationships that could be construed as a potential conflict of interest.</p>
</sec>
<sec sec-type="ai-statement" id="s10">
<title>Generative AI statement</title>
<p>The author(s) declare that no Generative AI was used in the creation of this manuscript.</p>
<p>Any alternative text (alt text) provided alongside figures in this article has been generated by Frontiers with the support of artificial intelligence and reasonable efforts have been made to ensure accuracy, including review by the authors wherever possible. If you identify any issues, please contact us.</p>
</sec>
<sec sec-type="disclaimer" id="s11">
<title>Publisher&#x2019;s note</title>
<p>All claims expressed in this article are solely those of the authors and do not necessarily represent those of their affiliated organizations, or those of the publisher, the editors and the reviewers. Any product that may be evaluated in this article, or claim that may be made by its manufacturer, is not guaranteed or endorsed by the publisher.</p>
</sec>
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