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<journal-id journal-id-type="publisher-id">Front. Environ. Sci.</journal-id>
<journal-title-group>
<journal-title>Frontiers in Environmental Science</journal-title>
<abbrev-journal-title abbrev-type="pubmed">Front. Environ. Sci.</abbrev-journal-title>
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<issn pub-type="epub">2296-665X</issn>
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<article-id pub-id-type="publisher-id">1731000</article-id>
<article-id pub-id-type="doi">10.3389/fenvs.2025.1731000</article-id>
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<subject>Original Research</subject>
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<title-group>
<article-title>Spatiotemporal heterogeneity of driving factors of carbon emission efficiency in industrial parks: evidence from China&#x2019;s national high-tech zones</article-title>
<alt-title alt-title-type="left-running-head">Li and Han</alt-title>
<alt-title alt-title-type="right-running-head">
<ext-link ext-link-type="uri" xlink:href="https://doi.org/10.3389/fenvs.2025.1731000">10.3389/fenvs.2025.1731000</ext-link>
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<contrib contrib-type="author" corresp="yes">
<name>
<surname>Li</surname>
<given-names>Chunling</given-names>
</name>
<xref ref-type="aff" rid="aff1">
<sup>1</sup>
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<surname>Han</surname>
<given-names>Jun</given-names>
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<sup>2</sup>
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<aff id="aff1">
<label>1</label>
<institution>School of Statistics and Data Science, Lanzhou University of Finance and Economics</institution>, <city>Lanzhou</city>, <country country="CN">China</country>
</aff>
<aff id="aff2">
<label>2</label>
<institution>Graduate School, Lanzhou University of Finance and Economics</institution>, <city>Lanzhou</city>, <country country="CN">China</country>
</aff>
<author-notes>
<corresp id="c001">
<label>&#x2a;</label>Correspondence: Chunling Li, <email xlink:href="mailto:lichunling@lzufe.edu.cn">lichunling@lzufe.edu.cn</email>
</corresp>
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<pub-date publication-format="electronic" date-type="pub" iso-8601-date="2025-12-10">
<day>10</day>
<month>12</month>
<year>2025</year>
</pub-date>
<pub-date publication-format="electronic" date-type="collection">
<year>2025</year>
</pub-date>
<volume>13</volume>
<elocation-id>1731000</elocation-id>
<history>
<date date-type="received">
<day>24</day>
<month>10</month>
<year>2025</year>
</date>
<date date-type="rev-recd">
<day>20</day>
<month>11</month>
<year>2025</year>
</date>
<date date-type="accepted">
<day>30</day>
<month>11</month>
<year>2025</year>
</date>
</history>
<permissions>
<copyright-statement>Copyright &#xa9; 2025 Li and Han.</copyright-statement>
<copyright-year>2025</copyright-year>
<copyright-holder>Li and Han</copyright-holder>
<license>
<ali:license_ref start_date="2025-12-10">https://creativecommons.org/licenses/by/4.0/</ali:license_ref>
<license-p>This is an open-access article distributed under the terms of the <ext-link ext-link-type="uri" xlink:href="https://creativecommons.org/licenses/by/4.0/">Creative Commons Attribution License (CC BY)</ext-link>. The use, distribution or reproduction in other forums is permitted, provided the original author(s) and the copyright owner(s) are credited and that the original publication in this journal is cited, in accordance with accepted academic practice. No use, distribution or reproduction is permitted which does not comply with these terms.</license-p>
</license>
</permissions>
<abstract>
<p>Industrial parks serve as the core spatial units of global manufacturing and energy consumption, and their low-carbon transformation plays a critical role in achieving the &#x201c;dual-carbon&#x201d; goals. This study employs a non-oriented Super Slack-Based Measure model under the assumption of non-increasing returns to scale to measure the carbon emission efficiency of 178 national high-tech zones in China from 2008 to 2023. Within the framework of eight integrated economic regions, regional comparison, efficiency rating, and industrial-combination analyses are conducted. The Moran Index is applied to test spatial autocorrelation, while the Geographical Detector and the Multiscale Geographically and Temporally Weighted Regression model are used to analyze the explanatory power and spatiotemporal heterogeneity of driving factors across four dimensions: economic development and industrial structure, technological innovation and research and development, environmental policy and green finance, and human and social development. The results reveal that carbon emission efficiency shows a spatial pattern characterized by higher values in the south and coastal areas and lower values in the west and inland regions. High-efficiency industrial combinations exhibit synergistic enhancement effects, whereas low-efficiency combinations experience efficiency losses. Overall efficiency displays a spatially negative correlation, indicating insufficient diffusion of low-carbon technologies and a noticeable &#x201c;siphon effect&#x201d; among neighboring zones. Among endogenous factors, park area and carbon emissions per unit of industrial output are the dominant driving forces, while exogenous factors play a relatively limited role. Variables at the local scale demonstrate high heterogeneity and short response times, suggesting that expanding production capacity should be accompanied by technological progress and the efficient allocation of land and capital to reduce carbon emissions per unit of output. On this basis, differentiated emission-reduction pathways can be designed to promote the coordinated advancement of economic growth and low-carbon transformation.</p>
</abstract>
<kwd-group>
<kwd>industrial parks</kwd>
<kwd>carbon emission efficiency</kwd>
<kwd>driving factors</kwd>
<kwd>spatiotemporalheterogeneity</kwd>
<kwd>national high-tech zones</kwd>
</kwd-group>
<funding-group>
<funding-statement>The author(s) declared that financial support was received for this work and/or its publication. This research was funded by the National Social Science Foundation of China, grant number 22BTJ001.</funding-statement>
</funding-group>
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<meta-value>Environmental Economics and Management</meta-value>
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</front>
<body>
<sec sec-type="intro" id="s1">
<label>1</label>
<title>Introduction</title>
<p>Global climate change poses a major challenge to sustainable human development, and controlling greenhouse gas emissions&#x2014;primarily carbon dioxide&#x2014;has become the core focus of climate governance. Since the acceleration of industrialization in the late nineteenth century, the industrial sector has been not only a key pillar of economic growth, but also a principal source of global energy consumption and carbon emissions (<xref ref-type="bibr" rid="B12">IPCC, 2023</xref>). As the world&#x2019;s largest manufacturing country, China&#x2019;s industrial restructuring and energy system transformation are crucial not only for achieving its &#x201c;dual-carbon&#x201d; targets, but also for shaping global temperature control trajectories. China&#x2019;s industrial system is characterized by a massive scale and broad geographical coverage. According to national planning, by 2060 carbon emissions from the industrial sector must be reduced by nearly 95% relative to current levels (<xref ref-type="bibr" rid="B10">IEA, 2021</xref>). This ambitious reduction target both reflects China&#x2019;s nationally determined contribution and underscores the critical role of the industrial sector in achieving carbon neutrality.</p>
<p>Within China&#x2019;s industrial system, industrial parks, as spatial economic units shaped by policy guidance and factor agglomeration, play an important role in accommodating industrial layout and driving regional economic growth. At present, there are approximately 25,000 industrial parks nationwide (<xref ref-type="bibr" rid="B20">Lyu et al., 2023</xref>). These parks were initially established in coastal areas with relatively mature industrial foundations and institutional environments, and subsequently expanded into central and western regions driven by industrial relocation and regional coordination strategies. Among the numerous industrial parks across China, national high-tech zones (HTZs) occupy less than 2.5% of the country&#x2019;s construction land, yet contribute about 14% of GDP, serving as a core engine for regional economic development and scientific and technological innovation (<xref ref-type="bibr" rid="B26">State Council of the PRC, 2022</xref>). In 1991, China established the first batch of national HTZs in 21 cities, drawing in part on the industry-university-research integration model of the Stanford Research Park (<xref ref-type="bibr" rid="B22">Nahm, 2000</xref>). With the continuous advancement of national science and technology policies and industrial development needs, the number of HTZs has steadily increased to 178, and in 2020 they were designated as national demonstration zones for green and low-carbon transformation.</p>
<p>In recent years, energy efficiency and carbon emission performance in HTZs have continued to improve. Between 2015 and 2020, comprehensive energy consumption per unit of industrial value added decreased from 0.584 to 0.451 tonnes of standard coal per 10,000 yuan, with an average annual decline of 4.3%, accompanied by a simultaneous reduction in carbon intensity (<xref ref-type="bibr" rid="B19">Liu et al., 2023</xref>). These improvements are partly attributable to the promotion of technical and managerial measures such as building-integrated photovoltaics, smart energy systems and green finance, and partly to regional differences in resource endowments, industrial structures and the stringency of policy implementation. Building on these achievements, the <italic>National High-Tech Zone Green Development Special Action Plan</italic> sets the target that, by 2025, comprehensive energy consumption per unit of industrial value added should fall below 0.4 tonnes of standard coal per 10,000 yuan, with half of the zones achieving levels better than 0.3, and CO<sub>2</sub> emissions per unit of output declining at an average annual rate of no less than 4% (<xref ref-type="bibr" rid="B10">IEA, 2021</xref>).</p>
<p>Although HTZs have begun to show results in green development, their low-carbon transition still faces multiple practical challenges (<xref ref-type="bibr" rid="B34">Zhou, 2021</xref>): energy consumption and carbon emission statistics for small and medium-sized enterprises remain incomplete; inconsistencies between park boundaries and administrative divisions lead to ambiguous accounting scopes; supply-chain life-cycle accounting and information sharing are insufficient; and carbon management capacity and specialized support platforms are relatively weak. Against this backdrop, it is necessary to establish a unified carbon emission efficiency evaluation system, systematically analyze the main driving factors and reveal their spatiotemporal heterogeneity, so as to provide useful decision-making references for the green and low-carbon transformation of China&#x2019;s industrial parks and similar regions elsewhere.</p>
<p>The remainder of this paper is organized as follows: <xref ref-type="sec" rid="s2">Section 2</xref> reviews the relevant research literature; <xref ref-type="sec" rid="s3">Section 3</xref> introduces the data and research methods; <xref ref-type="sec" rid="s4">Section 4</xref> presents the empirical analysis and results; The study&#x2019;s limitations and potential future research directions are covered in <xref ref-type="sec" rid="s5">Section 5</xref>, and the key findings are presented in <xref ref-type="sec" rid="s6">Section 6</xref>.</p>
</sec>
<sec id="s2">
<label>2</label>
<title>Literature review</title>
<p>Carbon dioxide (CO<sub>2</sub>) is the primary component of anthropogenic greenhouse gas emissions, and its concentration changes directly influence the intensity of the greenhouse effect and the trajectory of global warming (<xref ref-type="bibr" rid="B23">NASA, 2024</xref>). Given that traditional carbon-intensity indicators are unable to capture the multi-input, multi-output nature of emissions, the production frontier and total factor productivity framework (<xref ref-type="bibr" rid="B9">Ganley and Cubbin, 1992</xref>) has gradually become a mainstream tool in carbon emission research. Because it can simultaneously handle desirable and undesirable outputs, Data Envelopment Analysis (DEA) and its extended Super-SBM models (<xref ref-type="bibr" rid="B28">Tone, 2001</xref>; <xref ref-type="bibr" rid="B29">Tone, 2002</xref>) has been widely applied in studies of environmental performance (<xref ref-type="bibr" rid="B5">Charnes et al., 1978</xref>). The &#x201c;carbon emission efficiency&#x201d; index constructed under this evaluation framework can simultaneously reflect resource-use efficiency, economic output capacity, and pollution-control requirements, and thus provides an effective measure of the level of low-carbon development in a given region (<xref ref-type="bibr" rid="B36">Asteriou and Bashmakova, 2013</xref>; <xref ref-type="bibr" rid="B35">Afanasyev et al., 2015</xref>).</p>
<p>Despite the continuous enrichment of carbon emission efficiency measurement methods, existing studies still fall short in explaining the carbon emission efficiency of regions or industrial parks characterized by innovation-driven development. <xref ref-type="bibr" rid="B18">Lin et al. (2020)</xref> applied the SBM model to evaluate the carbon emission efficiency of countries with different energy structures, highlighting the advantages of developed economies in energy use and carbon reduction. <xref ref-type="bibr" rid="B6">Elahi et al. (2024)</xref> found significant spatial heterogeneity and spillover effects in agricultural carbon efficiency along China&#x2019;s Yangtze River Basin, demonstrating that regional disparities are key sources of efficiency variation. <xref ref-type="bibr" rid="B14">Jiang et al. (2022)</xref> further employed the Super-SBM model to measure industrial carbon emission efficiency in cities of the Pearl River Basin, showing a continuous increase from 2009 to 2017. <xref ref-type="bibr" rid="B32">Yu (2023)</xref> revealed spatial disparities in green development efficiency across 171 Chinese industrial parks. These studies have provided important insights at the national, regional, and park levels, but their objects of analysis do not encompass national HTZs, which are highly innovation-intensive areas. Therefore, the measurement of carbon emission efficiency and the exploration of its driving mechanisms at the level of national HTZs still require further in-depth investigation.</p>
<p>Regarding the driving factors of carbon emission efficiency, scholars have mainly discussed them from the perspectives of economic development, energy use, industrial structure, and urbanization. For example, the Environmental Kuznets Curve (EKC) hypothesis posits an inverted U-shaped relationship between carbon emissions and income (<xref ref-type="bibr" rid="B27">Stern, 2004</xref>). <xref ref-type="bibr" rid="B16">Kacprzyk and Kuchta (2020)</xref> empirically confirmed a nonlinear relationship between fossil-fuel CO<sub>2</sub> emissions and economic development. <xref ref-type="bibr" rid="B25">Opoku et al. (2022)</xref> found that a 0.1 increase in the Human Development Index can significantly reduce the carbon footprint and <italic>per capita</italic> CO<sub>2</sub> emissions, indicating that education and human capital exert a positive effect on carbon efficiency. <xref ref-type="bibr" rid="B37">Waheed et al. (2019)</xref> pointed out that most developed countries have essentially decoupled economic growth from emissions, whereas many developing countries remain in an energy-driven growth stage. <xref ref-type="bibr" rid="B14">Jiang et al. (2022)</xref> further showed that supply chain structures shape emission reduction strategies. <xref ref-type="bibr" rid="B3">Azizalrahman and Hasyimi (2019)</xref> identified a stage-dependent nonlinear relationship between urbanization levels and carbon emissions.</p>
<p>Institutional factors and innovation have also been shown to exert a significant influence on carbon emission efficiency. Although technological progress is an important driver of efficiency improvement, it is constrained by path dependence and technological lock-in (<xref ref-type="bibr" rid="B17">Li et al., 2021</xref>; <xref ref-type="bibr" rid="B1">Albitar et al., 2023</xref>). Green finance contributes to emission reduction by directing capital flows toward clean technologies and renewable energy (<xref ref-type="bibr" rid="B7">ElBannan and L&#xf6;ffler, 2024</xref>). Foreign trade exhibits a stage-specific effect: it may increase carbon emissions in the short term, but in the long run it can promote structural upgrading and efficiency gains (<xref ref-type="bibr" rid="B24">Onwachukwu et al., 2021</xref>). Inadequate enforcement of environmental regulations may also lead to a &#x201c;rebound effect,&#x201d; thereby aggravating carbon emissions (<xref ref-type="bibr" rid="B4">Baloch and Danish, 2022</xref>).</p>
<p>Although existing studies have established analytical frameworks for carbon emission efficiency at the macro level, they have not yet incorporated national high-tech zones as a distinct economic unit. To address this research gap, this paper proposes the following innovations: (1) builds a full-sample dataset covering 178 national HTZs from 2008 to 2023; (2) it uses the Super-SBM model within a non-oriented and NIRS framework, combining unwanted outputs and scale features to increase measurement accuracy; (3) it develops a dominant industrial combination&#x2013;carbon efficiency matrix to examine how different industrial structures affect efficiency; and (4) it expands the analysis of driving factors to spatiotemporal dimensions, integrating the Geographical Detector and the Multi-Scale Geographically and Temporally Weighted Regression (MGTWR) model to reveal spatial heterogeneity in carbon emission efficiency and identify the differentiated effects of various factors across time and space.</p>
<p>This study takes China&#x2019;s national HTZs as its research focus and constructs a comprehensive framework for measuring carbon emission efficiency and analyzing its driving mechanisms. The analysis spans national, regional, and industrial levels, providing new theoretical perspectives and methodological support for advancing the green transition and low-carbon governance of HTZs.</p>
</sec>
<sec sec-type="materials|methods" id="s3">
<label>3</label>
<title>Materials and methods</title>
<sec id="s3-1">
<label>3.1</label>
<title>Research methods</title>
<sec id="s3-1-1">
<label>3.1.1</label>
<title>Carbon emission measurement</title>
<p>Carbon emission data were derived from the CO<sub>2</sub> global gridded dataset in the EDGAR_2024_GHG greenhouse gas database, jointly released by the IEA and EDGAR (<xref ref-type="bibr" rid="B15">Johansson et al., 2017</xref>). First, the original 1 &#xb0; &#xd7; 1 &#xb0; resolution data were upscaled to 1&#xa0;km &#xd7; 1&#xa0;km using R, and then clipped to the territorial extent of China. Subsequently, the dataset was resampled to a 500&#xa0;m &#xd7; 500&#xa0;m resolution in ArcGIS 10.8 to enhance spatial precision. Vector boundaries and attribute information of national HTZs were extracted via the AMap (Gaode) API using Python, and spatially overlaid with the resampled raster data. Annual total carbon emissions were then extracted for each zone, constructing a continuous time series covering 2008&#x2013;2023. To ensure high boundary-matching accuracy, a dual &#x201c;grid&#x2013;administrative boundary&#x201d; verification procedure was employed, complemented by alignment with township and subdistrict boundaries.</p>
</sec>
<sec id="s3-1-2">
<label>3.1.2</label>
<title>Carbon emission efficiency measurement</title>
<p>The Super Slack-Based Measure (Super-SBM) model (<xref ref-type="bibr" rid="B29">Tone, 2002</xref>) is an important extension of Data Envelopment Analysis (DEA). It overcomes the limitations of traditional radial models, which neglect slack variables and are unable to differentiate among efficient decision-making units with efficiency scores greater than 1. By directly optimizing input excesses and output shortfalls, the Super-SBM model improves the precision of efficiency measurement. It also incorporates undesirable outputs&#x2014;such as carbon emissions&#x2014;into the analysis, quantifying their excess levels and providing a more comprehensive reflection of environmental efficiency (<xref ref-type="bibr" rid="B2">Amirteimoori et al., 2024</xref>).</p>
<p>This study assesses the carbon emission efficiency of national HTZs using a non-oriented Super-SBM model with undesired outputs under the assumption of NIRS. The non-oriented setting simultaneously optimizes inputs and outputs, which aligns with the multi-objective characteristics of real production activities. The NIRS constraint prevents misinterpreting efficiency improvements as scale expansion, making it particularly suitable for contexts in which carbon emission efficiency improvements are driven primarily by technological progress rather than scale effects. This model is well-suited to assessing environmental efficiency within a multi-input&#x2013;multi-output framework and provides a more accurate measurement of resource utilization and green performance. The model is expressed as follows (<xref ref-type="disp-formula" rid="e1">Equation 1</xref>):<disp-formula id="e1">
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</mml:mrow>
</mml:msub>
<mml:mo>&#x2b;</mml:mo>
<mml:mstyle displaystyle="true">
<mml:msubsup>
<mml:mo>&#x2211;</mml:mo>
<mml:mrow>
<mml:mi>t</mml:mi>
<mml:mo>&#x3d;</mml:mo>
<mml:mn>1</mml:mn>
</mml:mrow>
<mml:msub>
<mml:mi>q</mml:mi>
<mml:mn>2</mml:mn>
</mml:msub>
</mml:msubsup>
</mml:mstyle>
<mml:msubsup>
<mml:mi>s</mml:mi>
<mml:mi>t</mml:mi>
<mml:msup>
<mml:mi>b</mml:mi>
<mml:mo>&#x2212;</mml:mo>
</mml:msup>
</mml:msubsup>
<mml:mo>/</mml:mo>
<mml:msub>
<mml:mi>b</mml:mi>
<mml:mrow>
<mml:mi>r</mml:mi>
<mml:mi>k</mml:mi>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:mfenced>
</mml:mrow>
</mml:mrow>
</mml:mfrac>
</mml:mrow>
</mml:mtd>
</mml:mtr>
<mml:mtr>
<mml:mtd>
<mml:mrow>
<mml:mi>s</mml:mi>
<mml:mo>.</mml:mo>
<mml:mi>t</mml:mi>
<mml:mo>.</mml:mo>
<mml:mstyle displaystyle="true">
<mml:munderover>
<mml:mo>&#x2211;</mml:mo>
<mml:mrow>
<mml:mi>j</mml:mi>
<mml:mo>&#x3d;</mml:mo>
<mml:mn>1</mml:mn>
<mml:mo>,</mml:mo>
<mml:mi>j</mml:mi>
<mml:mo>&#x2260;</mml:mo>
<mml:mi>k</mml:mi>
</mml:mrow>
<mml:mi>n</mml:mi>
</mml:munderover>
</mml:mstyle>
<mml:msub>
<mml:mi>x</mml:mi>
<mml:mrow>
<mml:mi>i</mml:mi>
<mml:mi>j</mml:mi>
</mml:mrow>
</mml:msub>
<mml:msub>
<mml:mi mathvariant="normal">&#x3bb;</mml:mi>
<mml:mi>j</mml:mi>
</mml:msub>
<mml:mo>&#x2212;</mml:mo>
<mml:msubsup>
<mml:mi>s</mml:mi>
<mml:mi>i</mml:mi>
<mml:mo>&#x2212;</mml:mo>
</mml:msubsup>
<mml:mo>&#x3d;</mml:mo>
<mml:msub>
<mml:mi>x</mml:mi>
<mml:mrow>
<mml:mi>i</mml:mi>
<mml:mi>k</mml:mi>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:mtd>
</mml:mtr>
<mml:mtr>
<mml:mtd>
<mml:mrow>
<mml:mstyle displaystyle="true">
<mml:munderover>
<mml:mo>&#x2211;</mml:mo>
<mml:mrow>
<mml:mi>j</mml:mi>
<mml:mo>&#x3d;</mml:mo>
<mml:mn>1</mml:mn>
<mml:mo>,</mml:mo>
<mml:mi>j</mml:mi>
<mml:mo>&#x2260;</mml:mo>
<mml:mi>k</mml:mi>
</mml:mrow>
<mml:mi>n</mml:mi>
</mml:munderover>
</mml:mstyle>
<mml:msub>
<mml:mi>y</mml:mi>
<mml:mrow>
<mml:mi>r</mml:mi>
<mml:mi>j</mml:mi>
</mml:mrow>
</mml:msub>
<mml:msub>
<mml:mi mathvariant="normal">&#x3bb;</mml:mi>
<mml:mi>j</mml:mi>
</mml:msub>
<mml:mo>&#x2b;</mml:mo>
<mml:msubsup>
<mml:mi>s</mml:mi>
<mml:mi>i</mml:mi>
<mml:mo>&#x2b;</mml:mo>
</mml:msubsup>
<mml:mo>&#x3d;</mml:mo>
<mml:msub>
<mml:mi>y</mml:mi>
<mml:mrow>
<mml:mi>r</mml:mi>
<mml:mi>k</mml:mi>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:mtd>
</mml:mtr>
<mml:mtr>
<mml:mtd>
<mml:mrow>
<mml:mstyle displaystyle="true">
<mml:munderover>
<mml:mo>&#x2211;</mml:mo>
<mml:mrow>
<mml:mi>j</mml:mi>
<mml:mo>&#x3d;</mml:mo>
<mml:mn>1</mml:mn>
<mml:mo>,</mml:mo>
<mml:mi>j</mml:mi>
<mml:mo>&#x2260;</mml:mo>
<mml:mi>k</mml:mi>
</mml:mrow>
<mml:mi>n</mml:mi>
</mml:munderover>
</mml:mstyle>
<mml:msub>
<mml:mi>b</mml:mi>
<mml:mrow>
<mml:mi>t</mml:mi>
<mml:mi>j</mml:mi>
</mml:mrow>
</mml:msub>
<mml:msub>
<mml:mi mathvariant="normal">&#x3bb;</mml:mi>
<mml:mi>j</mml:mi>
</mml:msub>
<mml:mo>&#x2b;</mml:mo>
<mml:msubsup>
<mml:mi>s</mml:mi>
<mml:mi>t</mml:mi>
<mml:msup>
<mml:mi>b</mml:mi>
<mml:mo>&#x2212;</mml:mo>
</mml:msup>
</mml:msubsup>
<mml:mo>&#x3d;</mml:mo>
<mml:msub>
<mml:mi>b</mml:mi>
<mml:mrow>
<mml:mi>t</mml:mi>
<mml:mi>k</mml:mi>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:mtd>
</mml:mtr>
<mml:mtr>
<mml:mtd>
<mml:mrow>
<mml:msub>
<mml:mi>&#x3bb;</mml:mi>
<mml:mi>j</mml:mi>
</mml:msub>
<mml:mo>&#x2265;</mml:mo>
<mml:mn>0</mml:mn>
<mml:mo>,</mml:mo>
<mml:mstyle displaystyle="true">
<mml:munderover>
<mml:mo>&#x2211;</mml:mo>
<mml:mrow>
<mml:mi>j</mml:mi>
<mml:mo>&#x3d;</mml:mo>
<mml:mn>1</mml:mn>
<mml:mo>,</mml:mo>
<mml:mi>j</mml:mi>
<mml:mo>&#x2260;</mml:mo>
<mml:mi>k</mml:mi>
</mml:mrow>
<mml:mi>n</mml:mi>
</mml:munderover>
</mml:mstyle>
<mml:msub>
<mml:mi>&#x3bb;</mml:mi>
<mml:mi>j</mml:mi>
</mml:msub>
<mml:mo>&#x2264;</mml:mo>
<mml:mn>1</mml:mn>
</mml:mrow>
</mml:mtd>
</mml:mtr>
<mml:mtr>
<mml:mtd>
<mml:mrow>
<mml:msup>
<mml:mi>s</mml:mi>
<mml:mo>&#x2212;</mml:mo>
</mml:msup>
<mml:mo>,</mml:mo>
<mml:msup>
<mml:mi>s</mml:mi>
<mml:mo>&#x2b;</mml:mo>
</mml:msup>
<mml:mo>,</mml:mo>
<mml:msup>
<mml:msup>
<mml:mi>s</mml:mi>
<mml:mi>b</mml:mi>
</mml:msup>
<mml:mo>&#x2212;</mml:mo>
</mml:msup>
<mml:mo>&#x2265;</mml:mo>
<mml:mn>0</mml:mn>
</mml:mrow>
</mml:mtd>
</mml:mtr>
<mml:mtr>
<mml:mtd>
<mml:mrow>
<mml:mi>i</mml:mi>
<mml:mo>&#x3d;</mml:mo>
<mml:mn>1</mml:mn>
<mml:mo>,</mml:mo>
<mml:mn>2</mml:mn>
<mml:mo>,</mml:mo>
<mml:mo>&#x2026;</mml:mo>
<mml:mo>,</mml:mo>
<mml:mi>m</mml:mi>
<mml:mo>;</mml:mo>
</mml:mrow>
</mml:mtd>
</mml:mtr>
<mml:mtr>
<mml:mtd>
<mml:mrow>
<mml:mi>r</mml:mi>
<mml:mo>&#x3d;</mml:mo>
<mml:mn>1</mml:mn>
<mml:mo>,</mml:mo>
<mml:mn>2</mml:mn>
<mml:mo>,</mml:mo>
<mml:mo>&#x2026;</mml:mo>
<mml:mo>,</mml:mo>
<mml:mi>q</mml:mi>
<mml:mo>;</mml:mo>
</mml:mrow>
</mml:mtd>
</mml:mtr>
<mml:mtr>
<mml:mtd>
<mml:mrow>
<mml:mi>j</mml:mi>
<mml:mo>&#x3d;</mml:mo>
<mml:mn>1</mml:mn>
<mml:mo>,</mml:mo>
<mml:mn>2</mml:mn>
<mml:mo>,</mml:mo>
<mml:mo>&#x2026;</mml:mo>
<mml:mo>,</mml:mo>
<mml:mi>n</mml:mi>
<mml:mrow>
<mml:mfenced open="(" close=")" separators="|">
<mml:mrow>
<mml:mi>j</mml:mi>
<mml:mo>&#x2260;</mml:mo>
<mml:mi>k</mml:mi>
</mml:mrow>
</mml:mfenced>
</mml:mrow>
</mml:mrow>
</mml:mtd>
</mml:mtr>
</mml:mtable>
</mml:mrow>
</mml:math>
<label>(1)</label>
</disp-formula>
</p>
<p>In a system with <inline-formula id="inf1">
<mml:math id="m2">
<mml:mrow>
<mml:mi>n</mml:mi>
</mml:mrow>
</mml:math>
</inline-formula> Decision Making Units <inline-formula id="inf2">
<mml:math id="m3">
<mml:mrow>
<mml:mrow>
<mml:mfenced open="(" close=")" separators="|">
<mml:mrow>
<mml:msub>
<mml:mrow>
<mml:mi>D</mml:mi>
<mml:mi>M</mml:mi>
<mml:mi>U</mml:mi>
</mml:mrow>
<mml:mi>S</mml:mi>
</mml:msub>
</mml:mrow>
</mml:mfenced>
</mml:mrow>
</mml:mrow>
</mml:math>
</inline-formula>, the efficiency value is given by <inline-formula id="inf3">
<mml:math id="m4">
<mml:mrow>
<mml:mi>&#x3c1;</mml:mi>
<mml:mrow>
<mml:mfenced open="(" close=")" separators="|">
<mml:mrow>
<mml:mi>&#x3c1;</mml:mi>
<mml:mo>&#x3e;</mml:mo>
<mml:mn>0</mml:mn>
</mml:mrow>
</mml:mfenced>
</mml:mrow>
</mml:mrow>
</mml:math>
</inline-formula>. Define the <inline-formula id="inf4">
<mml:math id="m5">
<mml:mrow>
<mml:mi>k</mml:mi>
</mml:mrow>
</mml:math>
</inline-formula>-th <inline-formula id="inf5">
<mml:math id="m6">
<mml:mrow>
<mml:mi>D</mml:mi>
<mml:mi>M</mml:mi>
<mml:mi>U</mml:mi>
</mml:mrow>
</mml:math>
</inline-formula> as <inline-formula id="inf6">
<mml:math id="m7">
<mml:mrow>
<mml:msub>
<mml:mrow>
<mml:mi>D</mml:mi>
<mml:mi>M</mml:mi>
<mml:mi>U</mml:mi>
</mml:mrow>
<mml:mi>k</mml:mi>
</mml:msub>
<mml:mrow>
<mml:mfenced open="(" close=")" separators="|">
<mml:mrow>
<mml:mi>k</mml:mi>
<mml:mo>&#x3d;</mml:mo>
<mml:mn>1</mml:mn>
<mml:mo>,</mml:mo>
<mml:mn>2</mml:mn>
<mml:mo>,</mml:mo>
<mml:mo>&#x2026;</mml:mo>
<mml:mo>,</mml:mo>
<mml:mi>n</mml:mi>
</mml:mrow>
</mml:mfenced>
</mml:mrow>
</mml:mrow>
</mml:math>
</inline-formula>. Every <inline-formula id="inf7">
<mml:math id="m8">
<mml:mrow>
<mml:mi>D</mml:mi>
<mml:mi>M</mml:mi>
<mml:mi>U</mml:mi>
</mml:mrow>
</mml:math>
</inline-formula> employs m inputs <inline-formula id="inf8">
<mml:math id="m9">
<mml:mrow>
<mml:msub>
<mml:mi>x</mml:mi>
<mml:mrow>
<mml:mi>i</mml:mi>
<mml:mi>k</mml:mi>
</mml:mrow>
</mml:msub>
<mml:mrow>
<mml:mfenced open="(" close=")" separators="|">
<mml:mrow>
<mml:mi>i</mml:mi>
<mml:mo>&#x3d;</mml:mo>
<mml:mn>1</mml:mn>
<mml:mo>,</mml:mo>
<mml:mn>2</mml:mn>
<mml:mo>&#x2026;</mml:mo>
<mml:mo>,</mml:mo>
<mml:mi>m</mml:mi>
</mml:mrow>
</mml:mfenced>
</mml:mrow>
</mml:mrow>
</mml:math>
</inline-formula> to generate <inline-formula id="inf9">
<mml:math id="m10">
<mml:mrow>
<mml:msub>
<mml:mi>q</mml:mi>
<mml:mn>1</mml:mn>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> desirable outputs <inline-formula id="inf10">
<mml:math id="m11">
<mml:mrow>
<mml:msub>
<mml:mi>y</mml:mi>
<mml:mrow>
<mml:mi>r</mml:mi>
<mml:mi>k</mml:mi>
</mml:mrow>
</mml:msub>
<mml:mrow>
<mml:mfenced open="(" close=")" separators="|">
<mml:mrow>
<mml:mi>r</mml:mi>
<mml:mo>&#x3d;</mml:mo>
<mml:mn>1</mml:mn>
<mml:mo>,</mml:mo>
<mml:mn>2</mml:mn>
<mml:mo>&#x2026;</mml:mo>
<mml:mo>,</mml:mo>
<mml:msub>
<mml:mi>q</mml:mi>
<mml:mn>1</mml:mn>
</mml:msub>
</mml:mrow>
</mml:mfenced>
</mml:mrow>
</mml:mrow>
</mml:math>
</inline-formula>, and <inline-formula id="inf11">
<mml:math id="m12">
<mml:mrow>
<mml:msub>
<mml:mi>q</mml:mi>
<mml:mn>2</mml:mn>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> unwanted outputs <inline-formula id="inf12">
<mml:math id="m13">
<mml:mrow>
<mml:msub>
<mml:mi>b</mml:mi>
<mml:mrow>
<mml:mi>r</mml:mi>
<mml:mi>k</mml:mi>
</mml:mrow>
</mml:msub>
<mml:mrow>
<mml:mfenced open="(" close=")" separators="|">
<mml:mrow>
<mml:mi>r</mml:mi>
<mml:mo>&#x3d;</mml:mo>
<mml:mn>1</mml:mn>
<mml:mo>,</mml:mo>
<mml:mn>2</mml:mn>
<mml:mo>&#x2026;</mml:mo>
<mml:mo>,</mml:mo>
<mml:msub>
<mml:mi>q</mml:mi>
<mml:mn>2</mml:mn>
</mml:msub>
</mml:mrow>
</mml:mfenced>
</mml:mrow>
</mml:mrow>
</mml:math>
</inline-formula>.</p>
<p>Use <inline-formula id="inf13">
<mml:math id="m14">
<mml:mrow>
<mml:msubsup>
<mml:mi>s</mml:mi>
<mml:mi>i</mml:mi>
<mml:mo>&#x2212;</mml:mo>
</mml:msubsup>
</mml:mrow>
</mml:math>
</inline-formula>, <inline-formula id="inf14">
<mml:math id="m15">
<mml:mrow>
<mml:msubsup>
<mml:mi>s</mml:mi>
<mml:mi>i</mml:mi>
<mml:mo>&#x2b;</mml:mo>
</mml:msubsup>
</mml:mrow>
</mml:math>
</inline-formula>, and <inline-formula id="inf15">
<mml:math id="m16">
<mml:mrow>
<mml:msubsup>
<mml:mi>s</mml:mi>
<mml:mi>t</mml:mi>
<mml:msup>
<mml:mi>b</mml:mi>
<mml:mo>&#x2212;</mml:mo>
</mml:msup>
</mml:msubsup>
</mml:mrow>
</mml:math>
</inline-formula> to express slack variables for inputs, desirable outputs, and unpleasant outputs. The linear combination coefficients <inline-formula id="inf16">
<mml:math id="m17">
<mml:mrow>
<mml:msub>
<mml:mi>&#x3bb;</mml:mi>
<mml:mi>j</mml:mi>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> are given and restricted to be <inline-formula id="inf17">
<mml:math id="m18">
<mml:mrow>
<mml:msub>
<mml:mi>&#x3bb;</mml:mi>
<mml:mi>j</mml:mi>
</mml:msub>
<mml:mo>&#x2265;</mml:mo>
<mml:mn>0</mml:mn>
</mml:mrow>
</mml:math>
</inline-formula>.</p>
<p>The restriction of non-increasing returns to scale (NIRS) prevents irrational expansion by assuming that inputs do not enhance outputs proportionally. This condition is <xref ref-type="disp-formula" rid="e2">Equation 2</xref>:<disp-formula id="e2">
<mml:math id="m19">
<mml:mrow>
<mml:mstyle displaystyle="true">
<mml:munderover>
<mml:mo>&#x2211;</mml:mo>
<mml:mrow>
<mml:mi>j</mml:mi>
<mml:mo>&#x3d;</mml:mo>
<mml:mn>1</mml:mn>
<mml:mo>,</mml:mo>
<mml:mi>j</mml:mi>
<mml:mo>&#x2260;</mml:mo>
<mml:mi>k</mml:mi>
</mml:mrow>
<mml:mi>n</mml:mi>
</mml:munderover>
</mml:mstyle>
<mml:msub>
<mml:mi>&#x3bb;</mml:mi>
<mml:mi>j</mml:mi>
</mml:msub>
<mml:mo>&#x2264;</mml:mo>
<mml:mn>1</mml:mn>
</mml:mrow>
</mml:math>
<label>(2)</label>
</disp-formula>
</p>
</sec>
<sec id="s3-1-3">
<label>3.1.3</label>
<title>Moran index</title>
<p>Geospatial data&#x2019;s spatial autocorrelation is tested using Moran&#x2019;s I, which has values between &#x2212;1 and 1 (<xref ref-type="bibr" rid="B21">Moran, 1950</xref>). Positive spatial autocorrelation is shown when Moran&#x2019;s I &#x3e; 0, which means that nearby regions have comparable characteristics and create &#x201c;high&#x2013;high&#x201d; or &#x201c;low&#x2013;low&#x201d; clusters. Negative spatial autocorrelation is shown when Moran&#x2019;s I is less than zero, suggesting notable regional differences with &#x201c;high&#x2013;low&#x201d; or &#x201c;low&#x2013;high&#x201d; distributed patterns. A random spatial distribution with negligible spatial correlation is suggested by Moran&#x2019;s I &#x2248; 0. The global Moran&#x2019;s I statistic is calculated as follows (<xref ref-type="disp-formula" rid="e3">Equation 3</xref>):<disp-formula id="e3">
<mml:math id="m20">
<mml:mrow>
<mml:mi>M</mml:mi>
<mml:msup>
<mml:mtext>oran</mml:mtext>
<mml:mo>&#x2032;</mml:mo>
</mml:msup>
<mml:mi mathvariant="normal">s</mml:mi>
<mml:mtext>&#xa0;</mml:mtext>
<mml:mi>I</mml:mi>
<mml:mo>&#x3d;</mml:mo>
<mml:mfrac>
<mml:mrow>
<mml:msubsup>
<mml:mo>&#x2211;</mml:mo>
<mml:mrow>
<mml:mi>i</mml:mi>
<mml:mo>&#x3d;</mml:mo>
<mml:mn>1</mml:mn>
</mml:mrow>
<mml:mi>n</mml:mi>
</mml:msubsup>
<mml:msubsup>
<mml:mo>&#x2211;</mml:mo>
<mml:mrow>
<mml:mi>j</mml:mi>
<mml:mo>&#x3d;</mml:mo>
<mml:mn>1</mml:mn>
</mml:mrow>
<mml:mi>n</mml:mi>
</mml:msubsup>
<mml:msub>
<mml:mi>&#x3c9;</mml:mi>
<mml:mrow>
<mml:mi>i</mml:mi>
<mml:mi>j</mml:mi>
</mml:mrow>
</mml:msub>
<mml:mrow>
<mml:mfenced open="(" close=")" separators="|">
<mml:mrow>
<mml:msub>
<mml:mi>x</mml:mi>
<mml:mi>i</mml:mi>
</mml:msub>
<mml:mo>&#x2212;</mml:mo>
<mml:mover accent="true">
<mml:mi>x</mml:mi>
<mml:mo>&#xaf;</mml:mo>
</mml:mover>
</mml:mrow>
</mml:mfenced>
</mml:mrow>
<mml:mrow>
<mml:mfenced open="(" close=")" separators="|">
<mml:mrow>
<mml:msub>
<mml:mi>x</mml:mi>
<mml:mi>j</mml:mi>
</mml:msub>
<mml:mo>&#x2212;</mml:mo>
<mml:mover accent="true">
<mml:mi>x</mml:mi>
<mml:mo>&#xaf;</mml:mo>
</mml:mover>
</mml:mrow>
</mml:mfenced>
</mml:mrow>
</mml:mrow>
<mml:mrow>
<mml:msup>
<mml:mi>S</mml:mi>
<mml:mn>2</mml:mn>
</mml:msup>
<mml:msubsup>
<mml:mo>&#x2211;</mml:mo>
<mml:mrow>
<mml:mi>i</mml:mi>
<mml:mo>&#x3d;</mml:mo>
<mml:mn>1</mml:mn>
</mml:mrow>
<mml:mi>n</mml:mi>
</mml:msubsup>
<mml:msubsup>
<mml:mo>&#x2211;</mml:mo>
<mml:mrow>
<mml:mi>j</mml:mi>
<mml:mo>&#x3d;</mml:mo>
<mml:mn>1</mml:mn>
</mml:mrow>
<mml:mi>n</mml:mi>
</mml:msubsup>
<mml:msub>
<mml:mi>&#x3c9;</mml:mi>
<mml:mrow>
<mml:mi>i</mml:mi>
<mml:mi>j</mml:mi>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:mfrac>
</mml:mrow>
</mml:math>
<label>(3)</label>
</disp-formula>
</p>
<p>Let <inline-formula id="inf18">
<mml:math id="m21">
<mml:mrow>
<mml:mi>n</mml:mi>
</mml:mrow>
</mml:math>
</inline-formula> denotes the denote the count of HTZs; <inline-formula id="inf19">
<mml:math id="m22">
<mml:mrow>
<mml:msub>
<mml:mi>x</mml:mi>
<mml:mi>i</mml:mi>
</mml:msub>
<mml:mo>,</mml:mo>
<mml:msub>
<mml:mi>x</mml:mi>
<mml:mi>j</mml:mi>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> are efficiency observations for zones <inline-formula id="inf20">
<mml:math id="m23">
<mml:mrow>
<mml:mi>i</mml:mi>
</mml:mrow>
</mml:math>
</inline-formula> and <inline-formula id="inf21">
<mml:math id="m24">
<mml:mrow>
<mml:mi>j</mml:mi>
</mml:mrow>
</mml:math>
</inline-formula>; <inline-formula id="inf22">
<mml:math id="m25">
<mml:mrow>
<mml:mover accent="true">
<mml:mi>x</mml:mi>
<mml:mo>&#xaf;</mml:mo>
</mml:mover>
</mml:mrow>
</mml:math>
</inline-formula> is the sample mean; <inline-formula id="inf23">
<mml:math id="m26">
<mml:mrow>
<mml:msup>
<mml:mi>S</mml:mi>
<mml:mn>2</mml:mn>
</mml:msup>
</mml:mrow>
</mml:math>
</inline-formula> is the overall variance; and <inline-formula id="inf24">
<mml:math id="m27">
<mml:mrow>
<mml:msub>
<mml:mi>&#x3c9;</mml:mi>
<mml:mrow>
<mml:mi>i</mml:mi>
<mml:mi>j</mml:mi>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> is the spatial weight matrix element.</p>
<p>Assign <inline-formula id="inf25">
<mml:math id="m28">
<mml:mrow>
<mml:mi>n</mml:mi>
</mml:mrow>
</mml:math>
</inline-formula> to the number of HTZs, <inline-formula id="inf26">
<mml:math id="m29">
<mml:mrow>
<mml:msub>
<mml:mi>x</mml:mi>
<mml:mi>i</mml:mi>
</mml:msub>
<mml:mo>,</mml:mo>
<mml:msub>
<mml:mi>x</mml:mi>
<mml:mi>j</mml:mi>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> to efficiency observations for zones <inline-formula id="inf27">
<mml:math id="m30">
<mml:mrow>
<mml:mi>i</mml:mi>
</mml:mrow>
</mml:math>
</inline-formula> and <inline-formula id="inf28">
<mml:math id="m31">
<mml:mrow>
<mml:mi>j</mml:mi>
</mml:mrow>
</mml:math>
</inline-formula>, <inline-formula id="inf29">
<mml:math id="m32">
<mml:mrow>
<mml:mover accent="true">
<mml:mi>x</mml:mi>
<mml:mo>&#xaf;</mml:mo>
</mml:mover>
</mml:mrow>
</mml:math>
</inline-formula> to the sample mean, <inline-formula id="inf30">
<mml:math id="m33">
<mml:mrow>
<mml:msup>
<mml:mi>S</mml:mi>
<mml:mn>2</mml:mn>
</mml:msup>
</mml:mrow>
</mml:math>
</inline-formula> to the overall variance, and <inline-formula id="inf31">
<mml:math id="m34">
<mml:mrow>
<mml:msub>
<mml:mi>&#x3c9;</mml:mi>
<mml:mrow>
<mml:mi>i</mml:mi>
<mml:mi>j</mml:mi>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> to the spatial weight matrix element.</p>
<p>The weights are based on economic&#x2013;geographic distance (<xref ref-type="disp-formula" rid="e4">Equation 4</xref>).<disp-formula id="e4">
<mml:math id="m35">
<mml:mrow>
<mml:msub>
<mml:mi>&#x3c9;</mml:mi>
<mml:mrow>
<mml:mi>i</mml:mi>
<mml:mi>j</mml:mi>
</mml:mrow>
</mml:msub>
<mml:mo>&#x3d;</mml:mo>
<mml:mrow>
<mml:mfenced open="|" close="|" separators="|">
<mml:mrow>
<mml:mi>G</mml:mi>
<mml:mi>I</mml:mi>
<mml:msub>
<mml:mi>O</mml:mi>
<mml:mi>i</mml:mi>
</mml:msub>
<mml:mo>&#x2212;</mml:mo>
<mml:mi>G</mml:mi>
<mml:mi>I</mml:mi>
<mml:msub>
<mml:mi>O</mml:mi>
<mml:mi>j</mml:mi>
</mml:msub>
</mml:mrow>
</mml:mfenced>
</mml:mrow>
<mml:mo>&#xd7;</mml:mo>
<mml:mfrac>
<mml:mrow>
<mml:mn>1</mml:mn>
</mml:mrow>
<mml:mrow>
<mml:msubsup>
<mml:mi>d</mml:mi>
<mml:mrow>
<mml:mi>i</mml:mi>
<mml:mi>j</mml:mi>
</mml:mrow>
<mml:mn>2</mml:mn>
</mml:msubsup>
</mml:mrow>
</mml:mfrac>
</mml:mrow>
</mml:math>
<label>(4)</label>
</disp-formula>
</p>
<p>Let <inline-formula id="inf32">
<mml:math id="m36">
<mml:mrow>
<mml:msub>
<mml:mrow>
<mml:mi>G</mml:mi>
<mml:mi>I</mml:mi>
<mml:mi>O</mml:mi>
</mml:mrow>
<mml:mi>i</mml:mi>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> and <inline-formula id="inf33">
<mml:math id="m37">
<mml:mrow>
<mml:msub>
<mml:mrow>
<mml:mi>G</mml:mi>
<mml:mi>I</mml:mi>
<mml:mi>O</mml:mi>
</mml:mrow>
<mml:mi>j</mml:mi>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> represent gross industrial outputs for zones <inline-formula id="inf34">
<mml:math id="m38">
<mml:mrow>
<mml:mi>i</mml:mi>
</mml:mrow>
</mml:math>
</inline-formula> and <inline-formula id="inf35">
<mml:math id="m39">
<mml:mrow>
<mml:mi>j</mml:mi>
</mml:mrow>
</mml:math>
</inline-formula>, and <inline-formula id="inf36">
<mml:math id="m40">
<mml:mrow>
<mml:msub>
<mml:mi>d</mml:mi>
<mml:mrow>
<mml:mi>i</mml:mi>
<mml:mi>j</mml:mi>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> represent their geographic distance.</p>
<p>Analysis of localized spatial autocorrelation uses Local Moran&#x2019;s I (<xref ref-type="disp-formula" rid="e5">Equation 5</xref>):<disp-formula id="e5">
<mml:math id="m41">
<mml:mrow>
<mml:mi>M</mml:mi>
<mml:msup>
<mml:mtext>oran</mml:mtext>
<mml:mo>&#x2032;</mml:mo>
</mml:msup>
<mml:mi mathvariant="normal">s</mml:mi>
<mml:mtext>&#xa0;</mml:mtext>
<mml:msub>
<mml:mi>I</mml:mi>
<mml:mi>i</mml:mi>
</mml:msub>
<mml:mo>&#x3d;</mml:mo>
<mml:mfrac>
<mml:mrow>
<mml:mfenced open="(" close=")" separators="|">
<mml:mrow>
<mml:msub>
<mml:mi>x</mml:mi>
<mml:mi>i</mml:mi>
</mml:msub>
<mml:mo>&#x2212;</mml:mo>
<mml:mover accent="true">
<mml:mi>x</mml:mi>
<mml:mo>&#xaf;</mml:mo>
</mml:mover>
</mml:mrow>
</mml:mfenced>
</mml:mrow>
<mml:msup>
<mml:mi>S</mml:mi>
<mml:mn>2</mml:mn>
</mml:msup>
</mml:mfrac>
<mml:munderover>
<mml:mo>&#x2211;</mml:mo>
<mml:mrow>
<mml:mi>j</mml:mi>
<mml:mo>&#x3d;</mml:mo>
<mml:mn>1</mml:mn>
</mml:mrow>
<mml:mi>n</mml:mi>
</mml:munderover>
<mml:msub>
<mml:mi>&#x3c9;</mml:mi>
<mml:mrow>
<mml:mi>i</mml:mi>
<mml:mi>j</mml:mi>
</mml:mrow>
</mml:msub>
<mml:mrow>
<mml:mfenced open="(" close=")" separators="|">
<mml:mrow>
<mml:msub>
<mml:mi>x</mml:mi>
<mml:mi>j</mml:mi>
</mml:msub>
<mml:mo>&#x2212;</mml:mo>
<mml:mover accent="true">
<mml:mi>x</mml:mi>
<mml:mo>&#xaf;</mml:mo>
</mml:mover>
</mml:mrow>
</mml:mfenced>
</mml:mrow>
</mml:mrow>
</mml:math>
<label>(5)</label>
</disp-formula>
<inline-formula id="inf37">
<mml:math id="m42">
<mml:mrow>
<mml:msub>
<mml:mi>I</mml:mi>
<mml:mi>i</mml:mi>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> measures zone i&#x2019;s local spatial relationship with its neighbors.</p>
</sec>
<sec id="s3-1-4">
<label>3.1.4</label>
<title>Geographical detector</title>
<p>The Geographical Detector is a statistical method used to identify spatial stratified heterogeneity and detect driving factors. Its core idea is that if an independent variable has a significant impact on a dependent variable, the two should exhibit similar spatial distribution patterns (<xref ref-type="bibr" rid="B30">Wang et al., 2010</xref>). In this study, the explanatory power of each driving factor on the carbon emission efficiency of national HTZs is evaluated using the determinant power (q-value) of the Geographical Detector. The q-value ranges from 0 to 1, with larger values indicating stronger explanatory power. A q-value of 0 suggests no spatial association between the two distributions, while a q-value of 1 indicates complete spatial consistency. The calculation is given as follows (<xref ref-type="disp-formula" rid="e6">Equation 6</xref>):<disp-formula id="e6">
<mml:math id="m43">
<mml:mrow>
<mml:mi>q</mml:mi>
<mml:mo>&#x3d;</mml:mo>
<mml:mn>1</mml:mn>
<mml:mo>&#x2212;</mml:mo>
<mml:mfrac>
<mml:mn>1</mml:mn>
<mml:mrow>
<mml:mi>N</mml:mi>
<mml:msup>
<mml:mi>&#x3b4;</mml:mi>
<mml:mn>2</mml:mn>
</mml:msup>
</mml:mrow>
</mml:mfrac>
<mml:mstyle displaystyle="true">
<mml:munderover>
<mml:mo>&#x2211;</mml:mo>
<mml:mrow>
<mml:mi>h</mml:mi>
<mml:mo>&#x3d;</mml:mo>
<mml:mn>1</mml:mn>
</mml:mrow>
<mml:mi>L</mml:mi>
</mml:munderover>
</mml:mstyle>
<mml:msub>
<mml:mi>N</mml:mi>
<mml:mi>h</mml:mi>
</mml:msub>
<mml:mo>&#xb7;</mml:mo>
<mml:msubsup>
<mml:mi>&#x3b4;</mml:mi>
<mml:mi>h</mml:mi>
<mml:mn>2</mml:mn>
</mml:msubsup>
</mml:mrow>
</mml:math>
<label>(6)</label>
</disp-formula>
<inline-formula id="inf38">
<mml:math id="m44">
<mml:mrow>
<mml:mi>L</mml:mi>
</mml:mrow>
</mml:math>
</inline-formula> counts subregions, <inline-formula id="inf39">
<mml:math id="m45">
<mml:mrow>
<mml:msub>
<mml:mi>N</mml:mi>
<mml:mi>h</mml:mi>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> the sample size in region <inline-formula id="inf40">
<mml:math id="m46">
<mml:mrow>
<mml:mi>h</mml:mi>
</mml:mrow>
</mml:math>
</inline-formula>; <inline-formula id="inf41">
<mml:math id="m47">
<mml:mrow>
<mml:msubsup>
<mml:mi>&#x3b4;</mml:mi>
<mml:mi>h</mml:mi>
<mml:mn>2</mml:mn>
</mml:msubsup>
</mml:mrow>
</mml:math>
</inline-formula> he dependent variable&#x2019;s within-region variance, <inline-formula id="inf42">
<mml:math id="m48">
<mml:mrow>
<mml:mi>N</mml:mi>
</mml:mrow>
</mml:math>
</inline-formula> the total sample size, and <inline-formula id="inf43">
<mml:math id="m49">
<mml:mrow>
<mml:msup>
<mml:mi>&#x3b4;</mml:mi>
<mml:mn>2</mml:mn>
</mml:msup>
</mml:mrow>
</mml:math>
</inline-formula> the study area&#x2019;s overall variance. The <inline-formula id="inf44">
<mml:math id="m50">
<mml:mrow>
<mml:mi>q</mml:mi>
</mml:mrow>
</mml:math>
</inline-formula> value quantifies how much each driving component affects carbon emission efficiency spatially.</p>
</sec>
<sec id="s3-1-5">
<label>3.1.5</label>
<title>Multiscale geographically and Temporally Weighted Regression (MGTWR) model</title>
<p>The Multi-Scale Geographically and Temporally Weighted Regression (MGTWR) model is an extension of the GTWR model that incorporates a multi-scale weighting mechanism across both spatial and temporal dimensions. This allows for a more precise characterization of spatiotemporal dependence and non-stationarity (<xref ref-type="bibr" rid="B31">Wu et al., 2019</xref>). While GTWR simultaneously accounts for spatial and temporal effects, it applies a single spatiotemporal bandwidth to all variables (<xref ref-type="bibr" rid="B8">Fotheringham et al., 2015</xref>), which limits its ability to capture the multi-scale differences among various driving factors. To address this limitation, MGTWR assigns independent bandwidth parameters to each variable in both the spatial and temporal dimensions, thereby enhancing the model&#x2019;s capacity to describe and explain spatiotemporal heterogeneity. The model can be expressed as follows (<xref ref-type="disp-formula" rid="e7">Equation 7</xref>):<disp-formula id="e7">
<mml:math id="m51">
<mml:mrow>
<mml:msub>
<mml:mi>Y</mml:mi>
<mml:mi>i</mml:mi>
</mml:msub>
<mml:mo>&#x3d;</mml:mo>
<mml:msub>
<mml:mi>&#x3b2;</mml:mi>
<mml:mn>0</mml:mn>
</mml:msub>
<mml:mrow>
<mml:mfenced open="(" close=")" separators="|">
<mml:mrow>
<mml:msub>
<mml:mi>u</mml:mi>
<mml:mi>i</mml:mi>
</mml:msub>
<mml:mo>,</mml:mo>
<mml:msub>
<mml:mi>v</mml:mi>
<mml:mi>i</mml:mi>
</mml:msub>
<mml:mo>,</mml:mo>
<mml:msub>
<mml:mi>t</mml:mi>
<mml:mi>i</mml:mi>
</mml:msub>
</mml:mrow>
</mml:mfenced>
</mml:mrow>
<mml:mo>&#x2b;</mml:mo>
<mml:mstyle displaystyle="true">
<mml:munderover>
<mml:mo>&#x2211;</mml:mo>
<mml:mrow>
<mml:mi>k</mml:mi>
<mml:mo>&#x3d;</mml:mo>
<mml:mn>1</mml:mn>
</mml:mrow>
<mml:mi>p</mml:mi>
</mml:munderover>
</mml:mstyle>
<mml:msub>
<mml:mi>&#x3b2;</mml:mi>
<mml:mi>k</mml:mi>
</mml:msub>
<mml:mrow>
<mml:mfenced open="(" close=")" separators="|">
<mml:mrow>
<mml:msub>
<mml:mi>u</mml:mi>
<mml:mi>i</mml:mi>
</mml:msub>
<mml:mo>,</mml:mo>
<mml:msub>
<mml:mi>v</mml:mi>
<mml:mi>i</mml:mi>
</mml:msub>
<mml:mo>,</mml:mo>
<mml:msub>
<mml:mi>t</mml:mi>
<mml:mi>i</mml:mi>
</mml:msub>
<mml:mo>;</mml:mo>
<mml:msubsup>
<mml:mi>h</mml:mi>
<mml:mi>k</mml:mi>
<mml:mi>s</mml:mi>
</mml:msubsup>
<mml:mo>,</mml:mo>
<mml:msubsup>
<mml:mi>h</mml:mi>
<mml:mi>k</mml:mi>
<mml:mi>t</mml:mi>
</mml:msubsup>
</mml:mrow>
</mml:mfenced>
</mml:mrow>
<mml:mo>&#xb7;</mml:mo>
<mml:msub>
<mml:mi>x</mml:mi>
<mml:mrow>
<mml:mi>i</mml:mi>
<mml:mi>k</mml:mi>
</mml:mrow>
</mml:msub>
<mml:mo>&#x2b;</mml:mo>
<mml:msub>
<mml:mi>&#x3b5;</mml:mi>
<mml:mi>i</mml:mi>
</mml:msub>
</mml:mrow>
</mml:math>
<label>(7)</label>
</disp-formula>
<inline-formula id="inf45">
<mml:math id="m52">
<mml:mrow>
<mml:msub>
<mml:mi>Y</mml:mi>
<mml:mi>i</mml:mi>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> represents carbon emission efficiency at location <inline-formula id="inf46">
<mml:math id="m53">
<mml:mrow>
<mml:mi>i</mml:mi>
</mml:mrow>
</mml:math>
</inline-formula> and time <inline-formula id="inf47">
<mml:math id="m54">
<mml:mrow>
<mml:msub>
<mml:mi>t</mml:mi>
<mml:mi>i</mml:mi>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula>, <inline-formula id="inf48">
<mml:math id="m55">
<mml:mrow>
<mml:msub>
<mml:mi>&#x3b2;</mml:mi>
<mml:mn>0</mml:mn>
</mml:msub>
<mml:mrow>
<mml:mfenced open="(" close=")" separators="|">
<mml:mrow>
<mml:msub>
<mml:mi>u</mml:mi>
<mml:mi>i</mml:mi>
</mml:msub>
<mml:mo>,</mml:mo>
<mml:msub>
<mml:mi>v</mml:mi>
<mml:mi>i</mml:mi>
</mml:msub>
<mml:mo>,</mml:mo>
<mml:msub>
<mml:mi>t</mml:mi>
<mml:mi>i</mml:mi>
</mml:msub>
</mml:mrow>
</mml:mfenced>
</mml:mrow>
</mml:mrow>
</mml:math>
</inline-formula> is the local intercept, <inline-formula id="inf49">
<mml:math id="m56">
<mml:mrow>
<mml:msub>
<mml:mi>&#x3b2;</mml:mi>
<mml:mi>k</mml:mi>
</mml:msub>
<mml:mrow>
<mml:mfenced open="(" close=")" separators="|">
<mml:mrow>
<mml:msub>
<mml:mi>u</mml:mi>
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<mml:msub>
<mml:mi>t</mml:mi>
<mml:mi>i</mml:mi>
</mml:msub>
<mml:mo>;</mml:mo>
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<mml:mi>k</mml:mi>
<mml:mi>s</mml:mi>
</mml:msubsup>
<mml:mo>,</mml:mo>
<mml:msubsup>
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<mml:mi>k</mml:mi>
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</mml:msubsup>
</mml:mrow>
</mml:mfenced>
</mml:mrow>
</mml:mrow>
</mml:math>
</inline-formula> is the spatiotemporal coefficient of the <inline-formula id="inf50">
<mml:math id="m57">
<mml:mrow>
<mml:mi>k</mml:mi>
</mml:mrow>
</mml:math>
</inline-formula>-th driver, <inline-formula id="inf51">
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<mml:mrow>
<mml:msub>
<mml:mi>x</mml:mi>
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</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> is the observed value of the <inline-formula id="inf52">
<mml:math id="m59">
<mml:mrow>
<mml:mi>k</mml:mi>
</mml:mrow>
</mml:math>
</inline-formula>-th variable; and <inline-formula id="inf53">
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<mml:mi>&#x3b5;</mml:mi>
<mml:mi>i</mml:mi>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> is the random error.</p>
</sec>
</sec>
<sec id="s3-2">
<label>3.2</label>
<title>Choice of indicators and study region</title>
<p>The study focuses on 178 national HTZs included in the &#x201c;Torch Program.&#x201d; The eight integrated economic regions suggested by the State Council&#x2019;s Development Research Center serve as the basis for the regional classification. An input-output indicator system was created in order to satisfy the standards for measuring carbon emission efficiency (see <xref ref-type="table" rid="T1">Table 1</xref>).</p>
<table-wrap id="T1" position="float">
<label>TABLE 1</label>
<caption>
<p>Input&#x2013;output framework for the carbon emission efficiency of HTZs.</p>
</caption>
<table>
<thead valign="top">
<tr>
<th align="center">Category</th>
<th align="center">Component</th>
<th align="center">Indicator</th>
<th align="center">Unit</th>
<th align="center">Max</th>
<th align="center">Min</th>
<th align="center">Mean</th>
<th align="center">Std. Dev</th>
</tr>
</thead>
<tbody valign="top">
<tr>
<td rowspan="5" align="center" style="color:#0D0D0D">Inputs</td>
<td align="center" style="color:#0D0D0D">Capital</td>
<td align="center" style="color:#0D0D0D">Total assets</td>
<td align="center" style="color:#0D0D0D">10<sup>3</sup> CNY</td>
<td align="center" style="color:#0D0D0D">198746.6</td>
<td align="center" style="color:#0D0D0D">10.60</td>
<td align="center" style="color:#0D0D0D">3258.14</td>
<td align="center" style="color:#0D0D0D">10507.41</td>
</tr>
<tr>
<td align="center" style="color:#0D0D0D">Labor</td>
<td align="center" style="color:#0D0D0D">R&#x26;D personnel</td>
<td align="center" style="color:#0D0D0D">Persons</td>
<td align="center" style="color:#0D0D0D">1005583</td>
<td align="center" style="color:#0D0D0D">38</td>
<td align="center" style="color:#0D0D0D">26671.63</td>
<td align="center" style="color:#0D0D0D">70585.24</td>
</tr>
<tr>
<td align="center" style="color:#0D0D0D">R&#x26;D investment</td>
<td align="center" style="color:#0D0D0D">R&#x26;D expenditure</td>
<td align="center" style="color:#0D0D0D">10<sup>3</sup> CNY</td>
<td align="center" style="color:#0D0D0D">4200.72</td>
<td align="center" style="color:#0D0D0D">0.0833</td>
<td align="center" style="color:#0D0D0D">80.30259</td>
<td align="center" style="color:#0D0D0D">264.13</td>
</tr>
<tr>
<td align="center" style="color:#0D0D0D">Land use</td>
<td align="center" style="color:#0D0D0D">Industrial park area</td>
<td align="center" style="color:#0D0D0D">km<sup>2</sup>
</td>
<td align="center" style="color:#0D0D0D">1079</td>
<td align="center" style="color:#0D0D0D">2.55</td>
<td align="center" style="color:#0D0D0D">131.83</td>
<td align="center" style="color:#0D0D0D">142.61</td>
</tr>
<tr>
<td align="center" style="color:#0D0D0D">Energy</td>
<td align="center" style="color:#0D0D0D">Total energy consumption</td>
<td align="center" style="color:#0D0D0D">tce<xref ref-type="table-fn" rid="Tfn1">
<sup>a</sup>
</xref>
</td>
<td align="center" style="color:#0D0D0D">7334.78</td>
<td align="center" style="color:#0D0D0D">0.82</td>
<td align="center" style="color:#0D0D0D">696.45</td>
<td align="center" style="color:#0D0D0D">864.98</td>
</tr>
<tr>
<td rowspan="2" align="center">Outputs</td>
<td align="center" style="color:#0D0D0D">Desirable</td>
<td align="center" style="color:#0D0D0D">Gross industrial output value</td>
<td align="center" style="color:#0D0D0D">10<sup>3</sup> CNY</td>
<td align="center" style="color:#0D0D0D">17463.76</td>
<td align="center" style="color:#0D0D0D">1.41</td>
<td align="center" style="color:#0D0D0D">1436.33</td>
<td align="center" style="color:#0D0D0D">1830.28</td>
</tr>
<tr>
<td align="center" style="color:#0D0D0D">Undesirable</td>
<td align="center" style="color:#0D0D0D">CO<sub>2</sub> emissions</td>
<td align="center" style="color:#0D0D0D">t CO<sub>2</sub>
</td>
<td align="center" style="color:#0D0D0D">95061.52</td>
<td align="center" style="color:#0D0D0D">41.64</td>
<td align="center" style="color:#0D0D0D">5905.45</td>
<td align="center" style="color:#0D0D0D">7483.17</td>
</tr>
</tbody>
</table>
<table-wrap-foot>
<fn id="Tfn1">
<label>
<sup>a</sup>
</label>
<p>tce stands for &#x201c;ton of coal equivalent&#x201d;; 1 tce&#x2248;29.31&#xa0;GJ, or 11,630&#xa0;kWh.</p>
</fn>
</table-wrap-foot>
</table-wrap>
<p>The input indicators account for both production and innovation factors. Capital is measured by the total assets of each zone at year-end, reflecting the capacity of fixed asset support. Labor is represented by the number of R&#x26;D personnel, indicating the level of knowledge input. Technological input is measured by R&#x26;D expenditure, capturing its role in promoting low-carbon technologies and cleaner production. Land is represented by the built-up area of each zone. Energy input is measured by total energy consumption, which is calculated indirectly based on the China National High-Tech Zone Comprehensive Development Report, using the formula &#x201c;total energy consumption &#x3d; industrial output &#xd7; energy consumption per unit of output.&#x201d;</p>
<p>The input indicators account for both production and innovation factors. Capital is measured by the total assets of each zone at year-end, reflecting the capacity of fixed asset support. Labor is represented by the number of R&#x26;D personnel, indicating the level of knowledge input. Technological input is measured by R&#x26;D expenditure, capturing its role in promoting low-carbon technologies and cleaner production. Land is represented by the built-up area of each zone. Energy input is measured by total energy consumption, which is calculated indirectly based on the China National High-Tech Zone Comprehensive Development Report, using the formula &#x201c;total energy consumption &#x3d; industrial output &#xd7; energy consumption per unit of output.&#x201d;</p>
<p>The output indicators encompass both desired and unpleasant outcomes. The desired result is total industrial production, while the undesirable output is CO<sub>2</sub> emissions, which are extracted by matching the gridded carbon emission data from the EDGAR database with the vector boundaries of the HTZs. Economic, technological, and regional data are primarily obtained from the China Torch Statistical Yearbook and are supplemented and cross-validated with data from the China City Statistical Yearbook, China Environmental Statistical Yearbook, and various county- and district-level statistical yearbooks.</p>
</sec>
</sec>
<sec sec-type="results" id="s4">
<label>4</label>
<title>Results</title>
<sec id="s4-1">
<label>4.1</label>
<title>National high-tech zone carbon emission efficiency measurement</title>
<sec id="s4-1-1">
<label>4.1.1</label>
<title>Regional differences and national overview</title>
<p>Based on the assumption of NIRS, this study statistically assesses the carbon emission efficiency of 178 national HTZs between 2008 and 2023 using a non-oriented Super-SBM model with unwanted outputs. Their low-carbon transition features are methodically examined from three angles: regional disparities, park-level efficiency ratings, and industrial combinations.</p>
<p>Overall, the carbon emission efficiency of national HTZs has evolved through four stages: quick improvement, volatile adjustment, steady development, and short-term fall (<xref ref-type="fig" rid="F1">Figure 1</xref>). In 2009, efficiency reached a temporary peak under the combined influence of the global financial crisis and China&#x2019;s domestic demand expansion policies. Between 2011 and 2014, the expansion of energy-intensive industries and increasing regional development disparities led to a significant decline in efficiency. In 2016, the initial implementation of carbon market pilot programs began to take effect, driving a gradual recovery in efficiency. From 2017 to 2020, guided by the &#x201c;carbon peaking&#x201d; target, continued investment in clean energy and industrial restructuring sustained efficiency growth. Although the COVID-19 pandemic posed challenges in 2020, the digital economy helped maintain efficiency at a relatively high level. Between 2021 and 2023, efficiency declined to approximately 0.84, primarily due to a rebound in industrial carbon intensity, rising carbon investment elasticity, and shortages of hydropower.</p>
<fig id="F1" position="float">
<label>FIGURE 1</label>
<caption>
<p>Average carbon emission Efficiency (2008&#x2013;2023).</p>
</caption>
<graphic xlink:href="fenvs-13-1731000-g001.tif">
<alt-text content-type="machine-generated">Box plot displaying the mean carbon emission efficiency from 2008 to 2023. Each year is represented with a box and whisker showing distribution, median values, and outliers, indicated by red dots. Vertical distribution trends slightly upwards, with variations in color for each year, reflecting changes over time.</alt-text>
</graphic>
</fig>
<p>Building on this foundation, regional comparison results (<xref ref-type="fig" rid="F2">Figure 2</xref>) reveal a clear &#x201c;higher in the south, lower in the west&#x201d; spatial pattern of carbon emission efficiency across the eight integrated economic regions. The Southern Coastal region exhibits the highest efficiency (0.878), followed by the Northeast (0.863) and the Middle Reaches of the Yangtze River (0.862), which show similar levels. The Eastern Coastal (0.856), Southwest (0.850), and Northern Coastal (0.849) regions fall into the intermediate range, while the Yellow River Midstream (0.800) and Northwest (0.772) regions display relatively low efficiency levels. To further uncover intra-regional characteristics, the following section examines carbon emission efficiency from the perspective of park-level ratings.</p>
<fig id="F2" position="float">
<label>FIGURE 2</label>
<caption>
<p>Regional average carbon emission efficiency.</p>
</caption>
<graphic xlink:href="fenvs-13-1731000-g002.tif">
<alt-text content-type="machine-generated">Bar graph showing carbon emission efficiency means across eight regions: Middle Yellow River, Eastern Coastal, Northern Coastal, Middle Yangtze River, Southern Coastal, Northeast, Great Southwest, and Great Northwest. Values range from approximately 0.79 to 0.88. A dashed line with red points indicates a trend peaking at Southern Coastal.</alt-text>
</graphic>
</fig>
</sec>
<sec id="s4-1-2">
<label>4.1.2</label>
<title>Tiered carbon emission efficiency assessment in national high-tech zones</title>
<p>In order to describe national HTZs&#x27; carbon emission efficiency levels across different regions, a rating system was established based on average efficiency values: Zones achieving an average efficiency &#x2265;1.0 are designated &#x201c;Excellent&#x201d;, those in the range of 0.9&#x2013;1.0 and 0.7&#x2013;0.9 are considered &#x201c;Good&#x201d; and &#x201c;Average&#x201d;, respectively, while those below 0.7 are regarded as &#x201c;Poor.&#x201d; <xref ref-type="fig" rid="F3">Figure 3</xref> illustrates the spatial distribution and rating results of national HTZs.</p>
<fig id="F3" position="float">
<label>FIGURE 3</label>
<caption>
<p>Regional carbon emission efficiency grading map of HTZs.</p>
</caption>
<graphic xlink:href="fenvs-13-1731000-g003.tif">
<alt-text content-type="machine-generated">Map of China illustrating various regions with color coding: Southern Coastal, Northeast, Middle Yangtze River, Great Southwest, Northern Coastal, Eastern Coastal, Middle Yellow River, and Great Northwest. Cities marked with symbols indicate carbon emission efficiency ratings: purple diamonds for excellent, blue triangles for good, and green circles for average. A compass and scale in miles are included.</alt-text>
</graphic>
</fig>
<p>In the Southern Coastal Economic Region (Fujian, Guangdong, Hainan), which comprises 22 national HTZs, 50% are rated &#x201c;Excellent&#x201d; or &#x201c;Good.&#x201d; Putian (1.062), Sanming (1.033), and Zhanjiang (1.010) perform particularly well. Leveraging locational, policy, and technological advantages, this region has achieved synergy between ecological and economic benefits. Parks have pursued diversified green transition pathways through industrial decarbonization, green finance, and technological innovation.</p>
<p>In the Northeast Economic Region (Liaoning, Jilin, Heilongjiang), 31.3% of the 16 national HTZs are rated &#x201c;Excellent&#x201d; or &#x201c;Good.&#x201d; Changchun (1.083), Yanji (1.065), and Daqing (1.050) lead the region. Efficiency improvements have been achieved through smart energy management, CCUS applications, and cleaner production, with technological upgrading and resource recycling emerging as key drivers.</p>
<p>In the Middle Reaches of the Yangtze River Economic Region (Hubei, Hunan, Jiangxi, Anhui), 37.6% of the 38 national HTZs fall into the &#x201c;Excellent&#x201d; or &#x201c;Good&#x201d; categories. Yichun promotes green production through its full lithium battery industry chain, while Xiaogan leverages 5G industrial internet to increase the share of green electricity. However, parks such as Jiujiang and Xianning are constrained by a single energy structure and low industrial energy efficiency.</p>
<p>In the Southwest Economic Region (Yunnan, Guizhou, Sichuan, Guangxi, Chongqing), 33.3% of the 22 national HTZs fall into the &#x201c;Excellent&#x201d; or &#x201c;Good&#x201d; categories. Yuxi has built a zero-carbon park, and Guiyang has implemented green access standards, both significantly reducing emissions. However, Panzhihua&#x2019;s vanadium&#x2013;titanium industry faces technological constraints limiting its mitigation potential, and Beihai lacks a well-developed circular system. Overall, the region&#x2019;s green development foundation remains weak, requiring accelerated technological upgrading and structural optimization.</p>
<p>In the Northern Coastal Economic Region (Beijing&#x2013;Tianjin&#x2013;Hebei, Shandong), 25% of the 20 national HTZs achieve &#x201c;Excellent&#x201d; or &#x201c;Good&#x201d; ratings. Zhongguancun in Beijing has taken the lead through zero-carbon park initiatives and AI-based energy management. The Yellow River Delta has optimized its energy structure via carbon capture and integrated &#x201c;source&#x2013;grid&#x2013;load&#x2013;storage&#x201d; systems. The regional promotion of &#x201c;AI &#x2b; energy&#x201d; models and expansion of blue carbon pilot projects are contributing to coordinated emission reduction.</p>
<p>In the Eastern Coastal Economic Region (Shanghai, Jiangsu, Zhejiang), 16.7% of the 24 national HTZs fall into the &#x201c;Excellent&#x201d; or &#x201c;Good&#x201d; categories. Zhangjiang has improved efficiency through waste heat recovery, photovoltaic power generation, and ground-source heat pumps, while Xiaoshan Linjiang has advanced a &#x201c;materials&#x2013;manufacturing&#x2013;recycling&#x201d; closed-loop transformation. These efforts have produced notable results in energy optimization and carbon reduction, with strong demonstration effects.</p>
<p>In the Yellow River Midstream Economic Region (Shaanxi, Shanxi, Henan, Inner Mongolia), none of the 21 national HTZs are rated &#x201c;Excellent,&#x201d; and only Ankang is rated &#x201c;Good.&#x201d; The region&#x2019;s industrial structure is dominated by coal, chemicals, and metallurgy, leading to high carbon intensity. While Xi&#x2019;an and Yulin have begun developing full hydrogen and photovoltaic industry chains, and some parks are introducing carbon capture technologies with demonstration potential, the region faces pronounced issues of industrial homogeneity and resource misallocation.</p>
<p>In the Northwest Economic Region (Gansu, Qinghai, Ningxia, Tibet, Xinjiang), all 11 national HTZs fall into the &#x201c;Medium&#x201d; category. Despite increases in renewable energy capacity, multiple constraints&#x2014;including grid regulation limitations, the concentration of heavy industries, coal dependence, technological lag, and insufficient policy support&#x2014;have hindered efficiency improvements.</p>
</sec>
<sec id="s4-1-3">
<label>4.1.3</label>
<title>Carbon efficiency analysis of Dominant Industry Combinations</title>
<p>To analyze the impact of dominant industries on carbon emission efficiency, this study identifies the two industries with the highest shares of total industrial output in each national HTZs, based on the 2018 revised Catalogue for the Review of Chinese Development Zones issued by six ministries and industry data from the official websites of each park. These dominant industries are then used to construct an industrial combination&#x2013;carbon emission efficiency matrix (<xref ref-type="fig" rid="F4">Figure 4</xref>). The results reveal substantial differences in efficiency across industrial combinations: high-efficiency combinations exhibit synergistic effects, whereas low-efficiency combinations face significant risks of efficiency loss.</p>
<fig id="F4" position="float">
<label>FIGURE 4</label>
<caption>
<p>Efficiency matrix of dominant industry combinations.</p>
</caption>
<graphic xlink:href="fenvs-13-1731000-g004.tif">
<alt-text content-type="machine-generated">Heatmap showing scores across various industries, including Electronic Information, Biomedicine, and Aerospace. Color gradient ranges from blue to red, indicating scores from 0.739 to 1.018.</alt-text>
</graphic>
</fig>
<p>Industrial combinations led by the new energy sector achieve the highest efficiency levels. The combination of new energy and energy-saving industries reaches an efficiency score of 1.018. Combinations of new energy with high-tech services (0.971) and new materials (0.895) also perform well. These combinations are typically supported by well-developed green infrastructure and highly integrated industrial chains, with extensive applications in photovoltaics, energy storage, and carbon nanomaterials, resulting in outstanding resource use efficiency.</p>
<p>Several &#x201c;strong&#x2013;weak&#x201d; industrial combinations also show considerable improvement potential. The electronic information industry alone has an efficiency of 0.908, but its combination with biopharmaceuticals yields an efficiency of 0.882, reflecting the role of intelligent manufacturing technologies in improving energy efficiency within the pharmaceutical sector. The combination of advanced manufacturing and aerospace reaches an efficiency of 0.932, indicating that precision manufacturing offers energy-saving advantages in complex processing stages. Such combinations generally feature complete chains from R&#x26;D to application, demonstrating strong industrial linkage effects.</p>
<p>In contrast, low-efficiency combinations reflect issues of structural mismatch and insufficient integration. The combination of light industry and new materials achieves an efficiency of only 0.785, while the combination of high-tech services and electronic information is even lower at 0.739. These results expose weaknesses such as high energy consumption in traditional manufacturing, inadequate technological integration, and severe resource redundancy. When light-asset services and heavy-asset manufacturing fail to connect effectively, synergistic effects are difficult to achieve, leading instead to increased energy consumption and emissions. The efficiency of the combination of high-tech services and aerospace is only 0.769, indicating a pronounced mismatch between their production chains and demand structures; the low degree of industrial linkage makes it difficult to achieve effective synergy.</p>
<p>Overall, high-efficiency industries exert a positive spillover effect, but the magnitude of this improvement is bounded. Conversely, combinations led by low-efficiency industries significantly drag down overall efficiency, indicating that both the technological characteristics of dominant industries and their capacity for coordination with supporting industries jointly determine overall carbon efficiency in HTZs.</p>
</sec>
</sec>
<sec id="s4-2">
<label>4.2</label>
<title>Spatial correlation analysis of carbon emission efficiency</title>
<p>Moran&#x2019;s I is used to examine the global spatial autocorrelation of carbon emission efficiency across national HTZs (<xref ref-type="table" rid="T2">Table 2</xref>). The index is negative for all years, with only the 2020 P-value not reaching statistical significance. This indicates an overall &#x201c;high&#x2013;low&#x201d; or &#x201c;low&#x2013;high&#x201d; spatial distribution pattern, meaning that high-efficiency parks are more likely to be located near low-efficiency parks. Such negative spatial correlation reflects insufficient technological diffusion and resource competition among regions, resulting in a clear &#x201c;efficiency siphoning&#x201d; effect.</p>
<table-wrap id="T2" position="float">
<label>TABLE 2</label>
<caption>
<p>Global spatial autocorrelation test results.</p>
</caption>
<table>
<thead valign="top">
<tr>
<th align="center">Year</th>
<th align="center">I</th>
<th align="center">Sd(I)</th>
<th align="center">Z-vale</th>
<th align="center">P-value</th>
</tr>
</thead>
<tbody valign="top">
<tr>
<td align="center">2008</td>
<td align="center">&#x2212;0.1459</td>
<td align="center">0.0418</td>
<td align="center">&#x2212;3.3559</td>
<td align="center">0.0008</td>
</tr>
<tr>
<td align="center">2009</td>
<td align="center">&#x2212;0.1194</td>
<td align="center">0.0419</td>
<td align="center">&#x2212;2.7157</td>
<td align="center">0.0066</td>
</tr>
<tr>
<td align="center">2010</td>
<td align="center">&#x2212;0.1436</td>
<td align="center">0.0418</td>
<td align="center">&#x2212;3.3000</td>
<td align="center">0.0010</td>
</tr>
<tr>
<td align="center">2011</td>
<td align="center">&#x2212;0.1666</td>
<td align="center">0.0419</td>
<td align="center">&#x2212;3.8458</td>
<td align="center">0.0001</td>
</tr>
<tr>
<td align="center">2012</td>
<td align="center">&#x2212;0.1368</td>
<td align="center">0.0419</td>
<td align="center">&#x2212;3.1270</td>
<td align="center">0.0018</td>
</tr>
<tr>
<td align="center">2013</td>
<td align="center">&#x2212;0.1304</td>
<td align="center">0.0419</td>
<td align="center">&#x2212;2.9735</td>
<td align="center">0.0029</td>
</tr>
<tr>
<td align="center">2014</td>
<td align="center">&#x2212;0.0972</td>
<td align="center">0.0419</td>
<td align="center">&#x2212;2.1832</td>
<td align="center">0.0290</td>
</tr>
<tr>
<td align="center">2015</td>
<td align="center">&#x2212;0.1139</td>
<td align="center">0.0420</td>
<td align="center">&#x2212;2.5809</td>
<td align="center">0.0099</td>
</tr>
<tr>
<td align="center">2016</td>
<td align="center">&#x2212;0.1002</td>
<td align="center">0.0419</td>
<td align="center">&#x2212;2.2305</td>
<td align="center">0.0250</td>
</tr>
<tr>
<td align="center">2017</td>
<td align="center">&#x2212;0.1512</td>
<td align="center">0.0419</td>
<td align="center">&#x2212;3.4760</td>
<td align="center">0.0005</td>
</tr>
<tr>
<td align="center">2018</td>
<td align="center">&#x2212;0.1125</td>
<td align="center">0.0418</td>
<td align="center">&#x2212;2.5567</td>
<td align="center">0.0106</td>
</tr>
<tr>
<td align="center">2019</td>
<td align="center">&#x2212;0.0910</td>
<td align="center">0.0419</td>
<td align="center">&#x2212;2.0385</td>
<td align="center">0.0415</td>
</tr>
<tr>
<td align="center">2020</td>
<td align="center">&#x2212;0.0744</td>
<td align="center">0.0419</td>
<td align="center">&#x2212;1.6421</td>
<td align="center">0.1006</td>
</tr>
<tr>
<td align="center">2021</td>
<td align="center">&#x2212;0.1696</td>
<td align="center">0.0419</td>
<td align="center">&#x2212;3.9136</td>
<td align="center">0.0001</td>
</tr>
<tr>
<td align="center">2022</td>
<td align="center">&#x2212;0.1077</td>
<td align="center">0.0418</td>
<td align="center">&#x2212;2.4451</td>
<td align="center">0.0145</td>
</tr>
<tr>
<td align="center">2023</td>
<td align="center">&#x2212;0.0994</td>
<td align="center">0.0419</td>
<td align="center">&#x2212;2.2383</td>
<td align="center">0.0252</td>
</tr>
</tbody>
</table>
</table-wrap>
<p>The absolute values of the Z-statistics are generally greater than 2 for all years, and the standard deviation remains stable between 0.0418 and 0.0420, demonstrating strong statistical robustness. In 2020, the Z-value was &#x2212;1.6421. Due to the impact of the COVID-19, pandemic, the carbon emission efficiency of some parks deviated from their original spatial distribution, leading to a temporary weakening of overall spatial association.</p>
<p>Based on the 2023 local Moran scatter plot (<xref ref-type="fig" rid="F5">Figure 5</xref>), several typical spatial clustering patterns can be identified. Parks such as Chuzhou and Benxi fall into the first quadrant, exhibiting a &#x201c;high&#x2013;high&#x201d; clustering pattern. This indicates positive interactions with neighboring parks through industrial chain linkages, resource sharing, and coordinated policies. Parks such as Zizhu in Shanghai, Jingyue in Changchun, and Harbin appear in the second quadrant, forming a &#x201c;low&#x2013;high&#x201d; pattern, which suggests that these lower-efficiency parks possess strong potential for technological absorption and catch-up. No significant clusters are observed in the third quadrant, indicating that low-efficiency parks have not formed stable spatial clusters, consistent with the rating results showing no parks in the &#x201c;Poor&#x201d; category. Parks such as Zhongguancun in Beijing and Zhangjiang in Shanghai fall into the fourth quadrant, showing a &#x201c;high&#x2013;low&#x201d; clustering pattern, where high-efficiency parks are surrounded by lower-efficiency ones, revealing significant regional disparities in low-carbon development levels.</p>
<fig id="F5" position="float">
<label>FIGURE 5</label>
<caption>
<p>Moran scatterplot of carbon emission efficiency in 2023.</p>
</caption>
<graphic xlink:href="fenvs-13-1731000-g005.tif">
<alt-text content-type="machine-generated">Scatterplot chart categorizing cities based on Z-value and Wz axes. Cities like Shanghaizizhu and Changchunjingyue are positioned in the top-left quadrant, while Xiangyang and Changchun are in the bottom-right. The chart divides data into four quadrants, indicating diverse variations among the cities plotted.</alt-text>
</graphic>
</fig>
<p>Accordingly, efforts should focus on leveraging the demonstration and spillover effects of &#x201c;high&#x2013;high&#x201d; clusters to promote the diffusion of technologies and management practices. For &#x201c;low&#x2013;high&#x201d; transitional zones, targeted policies should enhance technology spillovers and institutional alignment to support efficiency improvements. In &#x201c;high&#x2013;low&#x201d; clusters, coordinated regional development should be strengthened to address resource misallocation and efficiency divergence caused by uneven development levels.</p>
</sec>
<sec id="s4-3">
<label>4.3</label>
<title>Analysis of the main driving factors of carbon emission efficiency in national high-tech zones</title>
<p>After testing for multicollinearity, redundant variables were removed and only indicators with VIF values below 10 were retained (<xref ref-type="table" rid="TA1">Table A1</xref>). Based on this, a 16-indicator system was constructed, encompassing four dimensions: economic development and industrial structure, technological innovation and R&#x26;D, environmental policy and green finance, and human and social development (<xref ref-type="table" rid="T3">Table 3</xref>). This system integrates both park-level input&#x2013;output characteristics and city-level policy, financial, and social factors. The former serve as endogenous variables that directly influence carbon emission efficiency, while the latter act as exogenous environmental factors that indirectly affect efficiency performance.</p>
<table-wrap id="TA1" position="float">
<label>TABLE A1</label>
<caption>
<p>VIF test results for driving factors.</p>
</caption>
<table>
<thead valign="top">
<tr>
<th align="center">Dimension</th>
<th align="center">Variable (Unit)</th>
<th align="center">Abbreviation</th>
<th align="center">
<inline-formula id="inf54">
<mml:math id="m61">
<mml:mrow>
<mml:mi>&#x3b2;</mml:mi>
</mml:mrow>
</mml:math>
</inline-formula>
</th>
<th align="center">
<inline-formula id="inf55">
<mml:math id="m62">
<mml:mrow>
<mml:mi>t</mml:mi>
</mml:mrow>
</mml:math>
</inline-formula>-value</th>
<th align="center">Sig</th>
<th align="center">Toleranc</th>
<th align="center">VIF</th>
</tr>
</thead>
<tbody valign="top">
<tr>
<td rowspan="8" align="center" style="color:#0D0D0D">Economic development and industrial structure</td>
<td align="center" style="color:#0D0D0D">Industrial output of the park (10<sup>6</sup> CNY)</td>
<td align="center" style="color:#0D0D0D">GIO</td>
<td align="center" style="color:#0D0D0D">0.000</td>
<td align="center" style="color:#0D0D0D">11.642</td>
<td align="center" style="color:#0D0D0D">0.000</td>
<td align="center" style="color:#0D0D0D">0.147</td>
<td align="center" style="color:#0D0D0D">6.783</td>
</tr>
<tr>
<td align="center" style="color:#0D0D0D">Total assets at year-end (10<sup>6</sup> CNY)</td>
<td align="center" style="color:#0D0D0D">TAP</td>
<td align="center" style="color:#0D0D0D">0.000</td>
<td align="center" style="color:#0D0D0D">&#x2212;7.565</td>
<td align="center" style="color:#0D0D0D">0.000</td>
<td align="center" style="color:#0D0D0D">0.189</td>
<td align="center" style="color:#0D0D0D">5.297</td>
</tr>
<tr>
<td align="center" style="color:#0D0D0D">Park area (km<sup>2</sup>)</td>
<td align="center" style="color:#0D0D0D">AP</td>
<td align="center" style="color:#0D0D0D">0.000</td>
<td align="center" style="color:#0D0D0D">&#x2212;6.992</td>
<td align="center" style="color:#0D0D0D">0.000</td>
<td align="center" style="color:#0D0D0D">0.866</td>
<td align="center" style="color:#0D0D0D">1.154</td>
</tr>
<tr>
<td align="center" style="color:#0D0D0D">Asset intensity (10<sup>6</sup> CNY/enterprise)</td>
<td align="center" style="color:#0D0D0D">AIP</td>
<td align="center" style="color:#0D0D0D">0.000</td>
<td align="center" style="color:#0D0D0D">2.481</td>
<td align="center" style="color:#0D0D0D">0.013</td>
<td align="center" style="color:#0D0D0D">0.911</td>
<td align="center" style="color:#0D0D0D">1.098</td>
</tr>
<tr>
<td align="center" style="color:#0D0D0D">Export value of the park (10<sup>6</sup> CNY)</td>
<td align="center" style="color:#0D0D0D">EVP</td>
<td align="center" style="color:#0D0D0D">0.000</td>
<td align="center" style="color:#0D0D0D">&#x2212;3.865</td>
<td align="center" style="color:#0D0D0D">0.000</td>
<td align="center" style="color:#0D0D0D">0.249</td>
<td align="center" style="color:#0D0D0D">4.010</td>
</tr>
<tr>
<td align="center" style="color:#0D0D0D">Tax contribution of the park (10<sup>6</sup> CNY)</td>
<td align="center" style="color:#0D0D0D">TCP</td>
<td align="center" style="color:#0D0D0D">0.000</td>
<td align="center" style="color:#0D0D0D">12.197</td>
<td align="center" style="color:#0D0D0D">0.000</td>
<td align="center" style="color:#0D0D0D">0.118</td>
<td align="center" style="color:#0D0D0D">8.462</td>
</tr>
<tr>
<td align="center" style="color:#0D0D0D">Per capita GDP of the city (10<sup>3</sup> CNY)</td>
<td align="center" style="color:#0D0D0D">PCGDP</td>
<td align="center" style="color:#0D0D0D">0.000</td>
<td align="center" style="color:#0D0D0D">&#x2212;3.473</td>
<td align="center" style="color:#0D0D0D">0.001</td>
<td align="center" style="color:#0D0D0D">0.499</td>
<td align="center" style="color:#0D0D0D">2.004</td>
</tr>
<tr>
<td align="center" style="color:#0D0D0D">City&#x2019;s industrial structure (%)</td>
<td align="center" style="color:#0D0D0D">IS</td>
<td align="center" style="color:#0D0D0D">&#x2212;0.011</td>
<td align="center" style="color:#0D0D0D">&#x2212;2.463</td>
<td align="center" style="color:#0D0D0D">0.014</td>
<td align="center" style="color:#0D0D0D">0.518</td>
<td align="center" style="color:#0D0D0D">1.929</td>
</tr>
<tr>
<td rowspan="3" align="center" style="color:#0D0D0D">Technical innovation and R&#x26;D</td>
<td align="center" style="color:#0D0D0D">R&#x26;D efficiency (10<sup>3</sup> CNY/person)</td>
<td align="center" style="color:#0D0D0D">RDE</td>
<td align="center" style="color:#0D0D0D">0.000</td>
<td align="center" style="color:#0D0D0D">6.175</td>
<td align="center" style="color:#0D0D0D">0.000</td>
<td align="center" style="color:#0D0D0D">0.870</td>
<td align="center" style="color:#0D0D0D">1.149</td>
</tr>
<tr>
<td align="center" style="color:#0D0D0D">Level of scientific development in the park (%)</td>
<td align="center" style="color:#0D0D0D">TDL</td>
<td align="center" style="color:#0D0D0D">&#x2212;0.039</td>
<td align="center" style="color:#0D0D0D">&#x2212;4.496</td>
<td align="center" style="color:#0D0D0D">0.000</td>
<td align="center" style="color:#0D0D0D">0.927</td>
<td align="center" style="color:#0D0D0D">1.078</td>
</tr>
<tr>
<td align="center" style="color:#0D0D0D">Technology revenue of the park (10<sup>6</sup> yuan)</td>
<td align="center" style="color:#0D0D0D">TRP</td>
<td align="center" style="color:#0D0D0D">0.000</td>
<td align="center" style="color:#0D0D0D">&#x2212;5.525</td>
<td align="center" style="color:#0D0D0D">0.000</td>
<td align="center" style="color:#0D0D0D">0.220</td>
<td align="center" style="color:#0D0D0D">4.544</td>
</tr>
<tr>
<td rowspan="3" align="center" style="color:#0D0D0D">Environmental regulation and green Financing</td>
<td align="center" style="color:#0D0D0D">Carbon emission per unit of industrial output (10<sup>3</sup> yuan/ton of tce)</td>
<td align="center" style="color:#0D0D0D">CUE</td>
<td align="center" style="color:#0D0D0D">&#x2212;0.008</td>
<td align="center" style="color:#0D0D0D">&#x2212;8.534</td>
<td align="center" style="color:#0D0D0D">0.000</td>
<td align="center" style="color:#0D0D0D">0.927</td>
<td align="center" style="color:#0D0D0D">1.078</td>
</tr>
<tr>
<td align="center" style="color:#0D0D0D">Green credit index of the city (%)</td>
<td align="center" style="color:#0D0D0D">GCI</td>
<td align="center" style="color:#0D0D0D">0.271</td>
<td align="center" style="color:#0D0D0D">2.524</td>
<td align="center" style="color:#0D0D0D">0.012</td>
<td align="center" style="color:#0D0D0D">0.832</td>
<td align="center" style="color:#0D0D0D">1.201</td>
</tr>
<tr>
<td align="center" style="color:#0D0D0D">Intensity of environmental regulation (%)</td>
<td align="center" style="color:#0D0D0D">ERI</td>
<td align="center" style="color:#0D0D0D">0.029</td>
<td align="center" style="color:#0D0D0D">4.461</td>
<td align="center" style="color:#0D0D0D">0.000</td>
<td align="center" style="color:#0D0D0D">0.979</td>
<td align="center" style="color:#0D0D0D">1.022</td>
</tr>
<tr>
<td rowspan="2" align="center" style="color:#0D0D0D">Human and social development</td>
<td align="center" style="color:#0D0D0D">Quality of labor in the park (%)</td>
<td align="center" style="color:#0D0D0D">QLF</td>
<td align="center" style="color:#0D0D0D">&#x2212;0.201</td>
<td align="center" style="color:#0D0D0D">&#x2212;13.447</td>
<td align="center" style="color:#0D0D0D">0.000</td>
<td align="center" style="color:#0D0D0D">0.681</td>
<td align="center" style="color:#0D0D0D">1.468</td>
</tr>
<tr>
<td align="center" style="color:#0D0D0D">Urbanization rate (%)</td>
<td align="center" style="color:#0D0D0D">UR</td>
<td align="center" style="color:#0D0D0D">0.109</td>
<td align="center" style="color:#0D0D0D">5.140</td>
<td align="center" style="color:#0D0D0D">0.000</td>
<td align="center" style="color:#0D0D0D">0.476</td>
<td align="center" style="color:#0D0D0D">2.101</td>
</tr>
</tbody>
</table>
</table-wrap>
<table-wrap id="T3" position="float">
<label>TABLE 3</label>
<caption>
<p>Statistical description of driving factors.</p>
</caption>
<table>
<thead valign="top">
<tr>
<th align="center">Dimension</th>
<th align="center">Variable (Unit)</th>
<th align="center">Abbreviation</th>
<th align="center">Max</th>
<th align="center">Min</th>
<th align="center">Mean</th>
<th align="center">Std. Dev</th>
</tr>
</thead>
<tbody valign="top">
<tr>
<td rowspan="8" align="center">Economic development and industrial structure</td>
<td align="center">Industrial output of the park (10<sup>6</sup> CNY)</td>
<td align="center">GIO</td>
<td align="center">1,746,376</td>
<td align="center">141</td>
<td align="center">143,633</td>
<td align="center">183,028</td>
</tr>
<tr>
<td align="center">Total assets at year-end (10<sup>6</sup> CNY)</td>
<td align="center">TAP</td>
<td align="center">19,874,662</td>
<td align="center">1,060</td>
<td align="center">325,814</td>
<td align="center">1,050,741</td>
</tr>
<tr>
<td align="center">Park area (km<sup>2</sup>)</td>
<td align="center">AP</td>
<td align="center">1,079</td>
<td align="center">2.55</td>
<td align="center">131.83</td>
<td align="center">142.61</td>
</tr>
<tr>
<td align="center">Asset intensity (10<sup>6</sup> CNY/enterprise)</td>
<td align="center">AIP</td>
<td align="center">2,719</td>
<td align="center">0.24</td>
<td align="center">87</td>
<td align="center">169</td>
</tr>
<tr>
<td align="center">Export value of the park (10<sup>6</sup> CNY)</td>
<td align="center">EVP</td>
<td align="center">657,537</td>
<td align="center">1.284</td>
<td align="center">26,327</td>
<td align="center">55,259</td>
</tr>
<tr>
<td align="center">Tax contribution of the park (10<sup>6</sup> CNY)</td>
<td align="center">TCP</td>
<td align="center">326,897</td>
<td align="center">5.915</td>
<td align="center">10,821</td>
<td align="center">23,922</td>
</tr>
<tr>
<td align="center">Per capita GDP of the city (10<sup>3</sup> CNY</td>
<td align="center">PCGDP</td>
<td align="center">278</td>
<td align="center">14.341</td>
<td align="center">75.932</td>
<td align="center">39.442</td>
</tr>
<tr>
<td align="center">City&#x2019;s industrial structure (%)</td>
<td align="center">IS</td>
<td align="center">568.98</td>
<td align="center">13.87</td>
<td align="center">116.04</td>
<td align="center">60.50</td>
</tr>
<tr>
<td rowspan="3" align="center">Technical innovation and R&#x26;D</td>
<td align="center">R&#x26;D efficiency (10<sup>3</sup> CNY/person)</td>
<td align="center">RDE</td>
<td align="center">2,414.88</td>
<td align="center">20.49</td>
<td align="center">280.17</td>
<td align="center">144.77</td>
</tr>
<tr>
<td align="center">Level of scientific development in the park (%)</td>
<td align="center">TDL</td>
<td align="center">6.4804</td>
<td align="center">0.0135</td>
<td align="center">0.5822</td>
<td align="center">0.2440</td>
</tr>
<tr>
<td align="center">Technology revenue of the park (10<sup>6</sup> yuan)</td>
<td align="center">TRP</td>
<td align="center">2,647,855</td>
<td align="center">0.046</td>
<td align="center">29,065</td>
<td align="center">131,370</td>
</tr>
<tr>
<td rowspan="3" align="center">Environmental regulation and green financing</td>
<td align="center">Carbon emission per unit of industrial output (10<sup>3</sup> yuan/ton of tce)</td>
<td align="center">CUE</td>
<td align="center">64.49</td>
<td align="center">0.0038</td>
<td align="center">0.92</td>
<td align="center">2.11</td>
</tr>
<tr>
<td align="center">Green credit index of the city (%)</td>
<td align="center">GCI</td>
<td align="center">19.82</td>
<td align="center">0.74</td>
<td align="center">5.39</td>
<td align="center">2.06</td>
</tr>
<tr>
<td align="center">Intensity of environmental regulation (%)</td>
<td align="center">ERI</td>
<td align="center">700.00</td>
<td align="center">32.81</td>
<td align="center">96.89</td>
<td align="center">31.04</td>
</tr>
<tr>
<td rowspan="2" align="center">Human and social development</td>
<td align="center">Quality of labor in the park (%)</td>
<td align="center">QLF</td>
<td align="center">263.08</td>
<td align="center">3.94</td>
<td align="center">46.52</td>
<td align="center">16.38</td>
</tr>
<tr>
<td align="center">Urbanization rate (%)</td>
<td align="center">UR</td>
<td align="center">100.00</td>
<td align="center">24.92</td>
<td align="center">64.49</td>
<td align="center">13.75</td>
</tr>
</tbody>
</table>
</table-wrap>
<p>
<xref ref-type="table" rid="T4">Table 4</xref> shows the determinant power (q-values) and significance levels of the factors that influence overall and regional carbon emission efficiency in national HTZs. All variables pass the 1% significance test, confirming the statistical reliability of the results. At the national level, park area (AP, q &#x3d; 0.564) and carbon emissions per unit of industrial output (CUE, q &#x3d; 0.312) are identified as the key factors influencing carbon emission efficiency, indicating that spatial scale and carbon intensity per unit of output exert a direct and decisive effect on efficiency. Industrial output (GIO, q &#x3d; 0.279) and tax contribution (TCP, q &#x3d; 0.208) follow, reflecting the positive role of economic dynamism and fiscal capacity.</p>
<table-wrap id="T4" position="float">
<label>TABLE 4</label>
<caption>
<p>Explanatory power (q) and significance levels (p) of driving factors across economic regions.</p>
</caption>
<table>
<thead valign="top">
<tr>
<th rowspan="2" align="center">Dimension</th>
<th rowspan="2" align="center">Variable</th>
<th colspan="2" align="center">Overall</th>
<th colspan="2" align="center">Eastern<break/>coastal</th>
<th colspan="2" align="center">Northern<break/>coastal</th>
<th colspan="2" align="center">Southern<break/>coastal</th>
<th colspan="2" align="center">Middle yangtze river</th>
<th colspan="2" align="center">Middle yellow<break/>river</th>
<th colspan="2" align="center">Northeast</th>
<th colspan="2" align="center">Greater<break/>southwest</th>
<th colspan="2" align="center">Greater<break/>northwest</th>
</tr>
<tr>
<th align="center">q-value</th>
<th align="center">p-value</th>
<th align="center">q-value</th>
<th align="center">p-value</th>
<th align="center">q-value</th>
<th align="center">p-value</th>
<th align="center">q-value</th>
<th align="center">p-value</th>
<th align="center">q-value</th>
<th align="center">p-value</th>
<th align="center">q-value</th>
<th align="center">p-value</th>
<th align="center">q-value</th>
<th align="center">p-value</th>
<th align="center">q-value</th>
<th align="center">p-value</th>
<th align="center">q-value</th>
<th align="center">p-value</th>
</tr>
</thead>
<tbody valign="top">
<tr>
<td rowspan="8" align="center">Economic and industrial structure</td>
<td align="center">GIO</td>
<td align="center">0.279</td>
<td align="center">0.000</td>
<td align="center">0.534</td>
<td align="center">0.000</td>
<td align="center">0.477</td>
<td align="center">0.000</td>
<td align="center">0.276</td>
<td align="center">0.000</td>
<td align="center">0.100</td>
<td align="center">0.000</td>
<td align="center">0.273</td>
<td align="center">0.003</td>
<td align="center">0.281</td>
<td align="center">0.000</td>
<td align="center">0.104</td>
<td align="center">0.043</td>
<td align="center">0.189</td>
<td align="center">0.078</td>
</tr>
<tr>
<td align="center">TAP</td>
<td align="center">0.177</td>
<td align="center">0.000</td>
<td align="center">0.333</td>
<td align="center">0.000</td>
<td align="center">0.469</td>
<td align="center">0.000</td>
<td align="center">0.174</td>
<td align="center">0.000</td>
<td align="center">0.099</td>
<td align="center">0.288</td>
<td align="center">0.218</td>
<td align="center">0.000</td>
<td align="center">0.073</td>
<td align="center">0.064</td>
<td align="center">0.146</td>
<td align="center">0.000</td>
<td align="center">0.312</td>
<td align="center">0.000</td>
</tr>
<tr>
<td align="center">AP</td>
<td align="center">0.564</td>
<td align="center">0.000</td>
<td align="center">0.676</td>
<td align="center">0.000</td>
<td align="center">0.724</td>
<td align="center">0.000</td>
<td align="center">0.526</td>
<td align="center">0.000</td>
<td align="center">0.427</td>
<td align="center">0.000</td>
<td align="center">0.225</td>
<td align="center">0.999</td>
<td align="center">0.556</td>
<td align="center">0.000</td>
<td align="center">0.299</td>
<td align="center">0.003</td>
<td align="center">0.308</td>
<td align="center">0.032</td>
</tr>
<tr>
<td align="center">AIP</td>
<td align="center">0.017</td>
<td align="center">0.000</td>
<td align="center">0.119</td>
<td align="center">0.000</td>
<td align="center">0.115</td>
<td align="center">0.006</td>
<td align="center">0.068</td>
<td align="center">0.379</td>
<td align="center">0.198</td>
<td align="center">0.000</td>
<td align="center">0.162</td>
<td align="center">0.000</td>
<td align="center">0.140</td>
<td align="center">0.027</td>
<td align="center">0.149</td>
<td align="center">0.006</td>
<td align="center">0.098</td>
<td align="center">0.824</td>
</tr>
<tr>
<td align="center">EVP</td>
<td align="center">0.167</td>
<td align="center">0.000</td>
<td align="center">0.372</td>
<td align="center">0.000</td>
<td align="center">0.388</td>
<td align="center">0.000</td>
<td align="center">0.315</td>
<td align="center">0.000</td>
<td align="center">0.111</td>
<td align="center">0.028</td>
<td align="center">0.127</td>
<td align="center">0.007</td>
<td align="center">0.127</td>
<td align="center">0.007</td>
<td align="center">0.07</td>
<td align="center">0.044</td>
<td align="center">0.16</td>
<td align="center">0.370</td>
</tr>
<tr>
<td align="center">TCP</td>
<td align="center">0.208</td>
<td align="center">0.000</td>
<td align="center">0.441</td>
<td align="center">0.000</td>
<td align="center">0.398</td>
<td align="center">0.000</td>
<td align="center">0.28</td>
<td align="center">0.000</td>
<td align="center">0.144</td>
<td align="center">0.073</td>
<td align="center">0.161</td>
<td align="center">0.000</td>
<td align="center">0.283</td>
<td align="center">0.000</td>
<td align="center">0.216</td>
<td align="center">0.000</td>
<td align="center">0.29</td>
<td align="center">0.010</td>
</tr>
<tr>
<td align="center">PCGDP</td>
<td align="center">0.101</td>
<td align="center">0.092</td>
<td align="center">0.061</td>
<td align="center">0.089</td>
<td align="center">0.144</td>
<td align="center">0.000</td>
<td align="center">0.13</td>
<td align="center">0.006</td>
<td align="center">0.124</td>
<td align="center">0.085</td>
<td align="center">0.094</td>
<td align="center">0.050</td>
<td align="center">0.147</td>
<td align="center">0.005</td>
<td align="center">0.067</td>
<td align="center">0.334</td>
<td align="center">0.118</td>
<td align="center">0.288</td>
</tr>
<tr>
<td align="center">IS</td>
<td align="center">0.02</td>
<td align="center">0.000</td>
<td align="center">0.25</td>
<td align="center">0.000</td>
<td align="center">0.332</td>
<td align="center">0.000</td>
<td align="center">0.198</td>
<td align="center">0.000</td>
<td align="center">0.162</td>
<td align="center">0.018</td>
<td align="center">0.109</td>
<td align="center">0.008</td>
<td align="center">0.188</td>
<td align="center">0.000</td>
<td align="center">0.05</td>
<td align="center">0.455</td>
<td align="center">0.329</td>
<td align="center">0.014</td>
</tr>
<tr>
<td rowspan="3" align="center">Technological innovation and R&#x26;D</td>
<td align="center">RDE</td>
<td align="center">0.124</td>
<td align="center">0.000</td>
<td align="center">0.142</td>
<td align="center">0.000</td>
<td align="center">0.147</td>
<td align="center">0.002</td>
<td align="center">0.186</td>
<td align="center">0.000</td>
<td align="center">0.028</td>
<td align="center">0.172</td>
<td align="center">0.142</td>
<td align="center">0.000</td>
<td align="center">0.184</td>
<td align="center">0.000</td>
<td align="center">0.108</td>
<td align="center">0.029</td>
<td align="center">0.371</td>
<td align="center">0.031</td>
</tr>
<tr>
<td align="center">TDL</td>
<td align="center">0.017</td>
<td align="center">0.029</td>
<td align="center">0.112</td>
<td align="center">0.003</td>
<td align="center">0.083</td>
<td align="center">0.051</td>
<td align="center">0.083</td>
<td align="center">0.167</td>
<td align="center">0.035</td>
<td align="center">0.729</td>
<td align="center">0.042</td>
<td align="center">0.366</td>
<td align="center">0.215</td>
<td align="center">0.000</td>
<td align="center">0.040</td>
<td align="center">0.332</td>
<td align="center">0.092</td>
<td align="center">0.831</td>
</tr>
<tr>
<td align="center">TRP</td>
<td align="center">0.147</td>
<td align="center">0.000</td>
<td align="center">0.197</td>
<td align="center">0.000</td>
<td align="center">0.344</td>
<td align="center">0.000</td>
<td align="center">0.128</td>
<td align="center">0.010</td>
<td align="center">0.103</td>
<td align="center">0.088</td>
<td align="center">0.161</td>
<td align="center">0.000</td>
<td align="center">0.12</td>
<td align="center">0.018</td>
<td align="center">0.048</td>
<td align="center">0.356</td>
<td align="center">0.119</td>
<td align="center">0.511</td>
</tr>
<tr>
<td rowspan="3" align="center">Environmental policy and green finance</td>
<td align="center">CUE</td>
<td align="center">0.312</td>
<td align="center">0.000</td>
<td align="center">0.312</td>
<td align="center">0.000</td>
<td align="center">0.473</td>
<td align="center">0.000</td>
<td align="center">0.541</td>
<td align="center">0.000</td>
<td align="center">0.424</td>
<td align="center">0.000</td>
<td align="center">0.198</td>
<td align="center">0.000</td>
<td align="center">0.385</td>
<td align="center">0.000</td>
<td align="center">0.123</td>
<td align="center">0.036</td>
<td align="center">0.321</td>
<td align="center">0.006</td>
</tr>
<tr>
<td align="center">GCI</td>
<td align="center">0.108</td>
<td align="center">0.021</td>
<td align="center">0.098</td>
<td align="center">0.016</td>
<td align="center">0.124</td>
<td align="center">0.002</td>
<td align="center">0.101</td>
<td align="center">0.067</td>
<td align="center">0.137</td>
<td align="center">0.053</td>
<td align="center">0.146</td>
<td align="center">0.002</td>
<td align="center">0.133</td>
<td align="center">0.005</td>
<td align="center">0.104</td>
<td align="center">0.091</td>
<td align="center">0.251</td>
<td align="center">0.037</td>
</tr>
<tr>
<td align="center">ERI</td>
<td align="center">0.019</td>
<td align="center">0.060</td>
<td align="center">0.026</td>
<td align="center">0.848</td>
<td align="center">0.039</td>
<td align="center">0.541</td>
<td align="center">0.061</td>
<td align="center">0.216</td>
<td align="center">0.158</td>
<td align="center">0.044</td>
<td align="center">0.124</td>
<td align="center">0.016</td>
<td align="center">0.081</td>
<td align="center">0.363</td>
<td align="center">0.124</td>
<td align="center">0.014</td>
<td align="center">0.094</td>
<td align="center">0.588</td>
</tr>
<tr>
<td rowspan="2" align="center">Human and social development</td>
<td align="center">QLF</td>
<td align="center">0.018</td>
<td align="center">0.006</td>
<td align="center">0.126</td>
<td align="center">0.000</td>
<td align="center">0.111</td>
<td align="center">0.000</td>
<td align="center">0.072</td>
<td align="center">0.200</td>
<td align="center">0.118</td>
<td align="center">0.000</td>
<td align="center">0.095</td>
<td align="center">0.029</td>
<td align="center">0.076</td>
<td align="center">0.153</td>
<td align="center">0.073</td>
<td align="center">0.374</td>
<td align="center">0.174</td>
<td align="center">0.461</td>
</tr>
<tr>
<td align="center">UR</td>
<td align="center">0.149</td>
<td align="center">0.005</td>
<td align="center">0.285</td>
<td align="center">0.000</td>
<td align="center">0.402</td>
<td align="center">0.000</td>
<td align="center">0.216</td>
<td align="center">0.000</td>
<td align="center">0.048</td>
<td align="center">0.49</td>
<td align="center">0.07</td>
<td align="center">0.169</td>
<td align="center">0.255</td>
<td align="center">0.000</td>
<td align="center">0.048</td>
<td align="center">0.333</td>
<td align="center">0.260</td>
<td align="center">0.021</td>
</tr>
</tbody>
</table>
</table-wrap>
<p>Significant regional differences exist in the driving factors. In the Eastern Coastal region, efficiency improvements rely primarily on AP (0.676) and GIO (0.534), while TCP (0.441) and EVP (0.372) also play strong roles, indicating that economic scale and openness are important supports for efficiency gains. TRP (0.197) has a limited effect, and ERI, is not significant, revealing insufficient policy regulation intensity. The Northern Coastal region exhibits a similar pattern, with AP (0.724), TRP (0.344), and IS (0.332) playing prominent roles, while ERI, remains insignificant.</p>
<p>In the Southern Coastal region, CUE (0.541) and AP (0.526) are the dominant drivers, while AIP (0.379) and TDL (0.167) are not significant, suggesting that technological investment and resource efficiency have not yet been effectively translated into emission reduction advantages. Similarly, in the Middle Reaches of the Yangtze River region, AP (0.427) and CUE (0.424) dominate, whereas TAP (0.288) and RDE (0.172) are not significant, indicating weak linkages between asset investment and innovation output.</p>
<p>In the Northeast region, AP (0.556) and CUE (0.385) are the main drivers, TCP (0.283) plays a moderate role, and TDL (0.215) and RDE (0.184) have noticeable effects, reflecting the region&#x2019;s strong potential for technological progress. In the Yellow River Midstream region, GIO (0.273) and CUE (0.198) dominate, while TDL is not significant, indicating that the traditional industrial structure remains the primary bottleneck for efficiency improvement.</p>
<p>In the Southwest region, AP (0.299), TCP (0.216), and AIP (0.149) contribute relatively more than other factors, but overall determinant power remains low. IS and technological variables (TDL, TRP) are not significant, indicating that industrial structure and technological levels still constrain efficiency improvement. In the Northwest region, IS (0.329) and RDE (0.371) are the dominant factors, whereas AIP is not significant, suggesting that industrial structure and technological innovation exert strong influences on carbon emission efficiency, while capital utilization efficiency remains relatively weak.</p>
<p>Overall, endogenous factors such as AP, GIO, and TCP generally exhibit higher determinant power and constitute the core drivers of efficiency improvements. The influence of exogenous factors varies considerably across regions: GCI, IS, and ERI play significant roles only in certain areas, reflecting the regional specificity of policy and institutional effects. The role of technological innovation is nonlinear: it is significant in the Northeast and Northwest regions but shows limited conversion effects in the Middle Reaches of the Yangtze River and Yellow River Midstream regions. To improve carbon emissions in national HTZs, it&#x27;s important to consolidate the economic and industrial base while also enhancing technological innovation and governmental assistance at the regional level.</p>
</sec>
<sec id="s4-4">
<label>4.4</label>
<title>Spatiotemporal heterogeneity of national high-tech zones carbon emission Efficiency Drivers</title>
<p>In the previous section, the Geographical Detector was used to identify the explanatory power of key driving factors for carbon emission efficiency in national HTZs from a static perspective. To further uncover spatiotemporal heterogeneity, this study introduces the Multi-Scale Geographically and Temporally Weighted Regression (MGTWR) model to analyse the non-stationarity of these factors across spatial and temporal dimensions from a dynamic perspective. The applicability of the model is verified by comparing it with Global OLS and GTWR models (<xref ref-type="table" rid="T5">Table 5</xref>). The results show that MGTWR achieves the highest goodness of fit and yields the lowest AICc and RSS values, indicating its superior ability to capture spatiotemporal heterogeneity and more accurately reflect the underlying data characteristics.</p>
<table-wrap id="T5" position="float">
<label>TABLE 5</label>
<caption>
<p>Regression model comparison of drivers.</p>
</caption>
<table>
<thead valign="top">
<tr>
<th align="center">Model</th>
<th align="center">Global-OLS</th>
<th align="center">GTWR</th>
<th align="center">MGTWR</th>
</tr>
</thead>
<tbody valign="top">
<tr>
<td align="center">R<sup>2</sup>
</td>
<td align="center">0.38</td>
<td align="center">0.813</td>
<td align="center">0.882</td>
</tr>
<tr>
<td align="center">Adjusted R<sup>2</sup>
</td>
<td align="center">0.375</td>
<td align="center">0.812</td>
<td align="center">0.881</td>
</tr>
<tr>
<td align="center">AICc</td>
<td align="center">4912.345</td>
<td align="center">&#x2212;2200.388</td>
<td align="center">&#x2212;2390.942</td>
</tr>
<tr>
<td align="center">RSS</td>
<td align="center">1281.279</td>
<td align="center">385.603</td>
<td align="center">243.319</td>
</tr>
</tbody>
</table>
</table-wrap>
<p>The spatiotemporal characteristics of the estimated parameters for each variable are presented in <xref ref-type="table" rid="T6">Table 6</xref>. Bandwidths, expressed as multiples of the minimum spatial distance (68.21&#xa0;km), indicate the spatial and temporal extent of each variable&#x2019;s influence (<xref ref-type="bibr" rid="B33">Yu and Fotheringham, 2025</xref>). A larger spatial bandwidth reflects a broader impact range, with the spatial scale approaching a global pattern; a longer temporal bandwidth indicates more persistent effects and greater structural stability. Based on spatial scales, the 16 variables can be categorized as local (&#x3c;200&#xa0;km), regional (200&#x2013;700&#xa0;km), and global (&#x3e;700&#xa0;km). Temporal scales are measured in years and classified as short-term (&#x3c;0.3&#xa0;years), medium-term (0.3&#x2013;1.0&#xa0;years), and long-term (&#x3e;1.0&#xa0;years) responses.</p>
<table-wrap id="T6" position="float">
<label>TABLE 6</label>
<caption>
<p>Spatiotemporal characteristics of estimated parameters.</p>
</caption>
<table>
<thead valign="top">
<tr>
<th align="center">Dimension</th>
<th align="center">Variable</th>
<th align="center">&#x3b2;<sub>max</sub>
</th>
<th align="center">&#x3b2;<sub>avg</sub>
</th>
<th align="center">&#x3b2;<sub>min</sub>
</th>
<th align="center">Bandwidth (km)</th>
<th align="center">Spatial<break/>scale</th>
<th align="center">Temporal<break/>scale (years)</th>
</tr>
</thead>
<tbody valign="top">
<tr>
<td rowspan="8" align="center">Economic and industrial structure</td>
<td align="center">GIO</td>
<td align="center">1.54</td>
<td align="center">0.60</td>
<td align="center">&#x2212;0.24</td>
<td align="center">136.28</td>
<td align="center">Local</td>
<td align="center">0.234</td>
</tr>
<tr>
<td align="center">TAP</td>
<td align="center">0.17</td>
<td align="center">&#x2212;0.36</td>
<td align="center">&#x2212;0.78</td>
<td align="center">128.62</td>
<td align="center">Local</td>
<td align="center">0.221</td>
</tr>
<tr>
<td align="center">AP</td>
<td align="center">0.05</td>
<td align="center">&#x2212;0.16</td>
<td align="center">&#x2212;0.36</td>
<td align="center">123.95</td>
<td align="center">Local</td>
<td align="center">0.213</td>
</tr>
<tr>
<td align="center">AIP</td>
<td align="center">0.11</td>
<td align="center">0.05</td>
<td align="center">&#x2212;0.02</td>
<td align="center">661.26</td>
<td align="center">Regional</td>
<td align="center">1.136</td>
</tr>
<tr>
<td align="center">EVP</td>
<td align="center">0.06</td>
<td align="center">&#x2212;0.16</td>
<td align="center">&#x2212;0.34</td>
<td align="center">901.75</td>
<td align="center">Global</td>
<td align="center">1.550</td>
</tr>
<tr>
<td align="center">TCP</td>
<td align="center">2.10</td>
<td align="center">0.67</td>
<td align="center">&#x2212;0.34</td>
<td align="center">488.09</td>
<td align="center">Regional</td>
<td align="center">0.839</td>
</tr>
<tr>
<td align="center">PCGDP</td>
<td align="center">0.04</td>
<td align="center">&#x2212;0.10</td>
<td align="center">&#x2212;0.21</td>
<td align="center">136.95</td>
<td align="center">Local</td>
<td align="center">0.235</td>
</tr>
<tr>
<td align="center">IS</td>
<td align="center">0.04</td>
<td align="center">&#x2212;0.07</td>
<td align="center">&#x2212;0.16</td>
<td align="center">756.80</td>
<td align="center">Global</td>
<td align="center">1.301</td>
</tr>
<tr>
<td rowspan="3" align="center">Technological innovation and R&#x26;D</td>
<td align="center">RDE</td>
<td align="center">0.29</td>
<td align="center">0.14</td>
<td align="center">&#x2212;0.06</td>
<td align="center">477.44</td>
<td align="center">Regional</td>
<td align="center">0.820</td>
</tr>
<tr>
<td align="center">TDL</td>
<td align="center">0.06</td>
<td align="center">&#x2212;0.10</td>
<td align="center">&#x2212;0.22</td>
<td align="center">133.32</td>
<td align="center">Local</td>
<td align="center">0.229</td>
</tr>
<tr>
<td align="center">TRP</td>
<td align="center">0.13</td>
<td align="center">&#x2212;0.25</td>
<td align="center">&#x2212;0.52</td>
<td align="center">110.43</td>
<td align="center">Local</td>
<td align="center">0.190</td>
</tr>
<tr>
<td rowspan="3" align="center">Environmental policy and green<break/>Finance</td>
<td align="center">CUE</td>
<td align="center">0.07</td>
<td align="center">&#x2212;0.19</td>
<td align="center">&#x2212;0.45</td>
<td align="center">127.78</td>
<td align="center">Local</td>
<td align="center">0.220</td>
</tr>
<tr>
<td align="center">GCI</td>
<td align="center">0.13</td>
<td align="center">0.06</td>
<td align="center">&#x2212;0.03</td>
<td align="center">421.50</td>
<td align="center">Regional</td>
<td align="center">0.724</td>
</tr>
<tr>
<td align="center">ERI</td>
<td align="center">0.24</td>
<td align="center">0.10</td>
<td align="center">&#x2212;0.04</td>
<td align="center">890.43</td>
<td align="center">Global</td>
<td align="center">1.530</td>
</tr>
<tr>
<td rowspan="2" align="center">Human and social development</td>
<td align="center">QLF</td>
<td align="center">0.21</td>
<td align="center">&#x2212;0.32</td>
<td align="center">&#x2212;0.69</td>
<td align="center">436.99</td>
<td align="center">Regional</td>
<td align="center">0.751</td>
</tr>
<tr>
<td align="center">UR</td>
<td align="center">0.33</td>
<td align="center">0.16</td>
<td align="center">&#x2212;0.08</td>
<td align="center">951.65</td>
<td align="center">Global</td>
<td align="center">1.635</td>
</tr>
</tbody>
</table>
</table-wrap>
<p>Global-scale variables (EVP, IS, ERI, UR) have bandwidths exceeding 750&#xa0;km, covering the entire country with relatively small regional differences. All exhibit long-term response characteristics, indicating persistent and stable impacts that are less affected by short-term policy or market fluctuations. Among them, UR shows the longest temporal scale, reflecting its dependence on long-term public service provision and infrastructure development, which can continuously enhance carbon emission efficiency over extended periods.</p>
<p>Regional-scale variables (AIP, TCP, RDE, GCI, QLF) have bandwidths ranging from 421 to 661&#xa0;km, with impacts spanning provincial and economic regions. These variables display medium-term response characteristics, exerting their influence gradually through fiscal support, technological R&#x26;D and transformation, green finance investment, and human capital development. TCP (<inline-formula id="inf56">
<mml:math id="m63">
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</inline-formula> &#x3d; 0.67) stands out as the most influential among them, indicating that parks with stronger fiscal rebate capacities are better able to sustain green investment, technological upgrades, and governance improvements, thereby significantly enhancing carbon emission efficiency.</p>
<p>Local-scale variables (GIO, TAP, AP, PCGDP, TDL, TRP, CUE) have bandwidths between 110.43 and 137&#xa0;km&#x2014;approximately twice the minimum neighborhood distance&#x2014;and their impacts are mostly confined to parks and their surrounding cities. These variables exhibit short-term response characteristics, with TRP (0.19&#xa0;years), CUE (0.22&#xa0;years), and TDL (0.229&#xa0;years) being particularly sensitive to policy and market changes and showing high volatility. Notably, CUE (<inline-formula id="inf57">
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<mml:mi>g</mml:mi>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> &#x3d; &#x2212;0.19) indicates that an increasing share of energy-intensive industries significantly suppresses park-level carbon emission performance in the short run.</p>
<p>Based on the Geographical Detector ranking of driving forces, the five local-scale variables with the strongest heterogeneity were selected for visualization of their average estimated coefficients (<inline-formula id="inf58">
<mml:math id="m65">
<mml:mrow>
<mml:msub>
<mml:mi>&#x3b2;</mml:mi>
<mml:mrow>
<mml:mi>a</mml:mi>
<mml:mi>v</mml:mi>
<mml:mi>g</mml:mi>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula>) (<xref ref-type="fig" rid="F6">Figure 6</xref>). Industrial output (GIO) is the most significant positive driver, with <inline-formula id="inf59">
<mml:math id="m66">
<mml:mrow>
<mml:msub>
<mml:mi>&#x3b2;</mml:mi>
<mml:mrow>
<mml:mi>a</mml:mi>
<mml:mi>v</mml:mi>
<mml:mi>g</mml:mi>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> &#x3d; 0.60, showing strong effects in the Eastern Coastal and Middle Reaches of the Yangtze River regions. This reflects the synergy between output expansion and efficiency improvement. Yichun, Jiangxi, with its complete lithium battery industry chain, exhibits the highest GIO coefficient (0.81), effectively curbing the growth rate of carbon emissions. Quanzhou&#x2019;s coefficient surpasses that of Sanming, demonstrating the advantages of core industrial zones in energy efficiency management. However, in parts of the Northwest and Northeast regions, the driving effect of GIO is weaker, indicating that high output does not necessarily translate into high efficiency&#x2014;the effect depends critically on industrial structure and energy composition.</p>
<fig id="F6" position="float">
<label>FIGURE 6</label>
<caption>
<p>Local-scale spatial visualization of carbon-efficiency drivers by economic region: <bold>(A)</bold> Eastern coastal, <bold>(B)</bold> northern coastal, <bold>(C)</bold> southern coastal, <bold>(D)</bold> middle reaches of the yangtze river, <bold>(E)</bold> middle reaches of the yellow river, <bold>(F)</bold> northeast, <bold>(G)</bold> southwest, and <bold>(H)</bold> northwest economic regions.</p>
</caption>
<graphic xlink:href="fenvs-13-1731000-g006.tif">
<alt-text content-type="machine-generated">Grouped horizontal bar charts labeled A to H, each displaying data for Chinese regions. Data points are color-coded: GIO (green), TAP (blue), AP (pink), TRP (purple), and CUE (orange), plotted against the beta value on the x-axis. Regions include Eastern, Southern, Middle Yangtze River, Middle Yellow River, Northeast, Great Southwest, and Great Northwest. Each chart shows variations in data points by city within the respective regions.</alt-text>
</graphic>
</fig>
<p>Total assets at year-end (TAP) generally exhibit a negative effect on carbon emission efficiency, with an average coefficient (<inline-formula id="inf60">
<mml:math id="m67">
<mml:mrow>
<mml:msub>
<mml:mi>&#x3b2;</mml:mi>
<mml:mrow>
<mml:mi>a</mml:mi>
<mml:mi>v</mml:mi>
<mml:mi>g</mml:mi>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula>) of &#x2212;0.36, particularly evident in the Northern Coastal, Yellow River Midstream, and Southeastern Coastal regions. Weihai, Shandong, shows a coefficient of &#x2212;0.42, indicating that capital-intensive expansion has not led to efficiency improvements but rather to overcapacity and the locking-in of high-carbon assets. Similar patterns are observed in Zhongguancun (Beijing), Binhai (Tianjin), and Kunshan, suggesting persistent bottlenecks in converting capital accumulation into green efficiency gains.</p>
<p>Park area (AP) reflects the carbon burden effect of spatial expansion, with <inline-formula id="inf61">
<mml:math id="m68">
<mml:mrow>
<mml:msub>
<mml:mi>&#x3b2;</mml:mi>
<mml:mrow>
<mml:mi>a</mml:mi>
<mml:mi>v</mml:mi>
<mml:mi>g</mml:mi>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> &#x3d; &#x2212;0.16. This negative effect is most pronounced in the Western Development regions and old industrial bases in the Northeast, largely due to large park areas and dispersed industrial layouts, which increase infrastructure-related energy consumption. For example, Lhasa HTZ&#x2019;s large area and scattered industries significantly increase transportation distances and infrastructure energy use. In contrast, Shenzhen and Dongguan benefit from high industrial agglomeration and infrastructure utilization rates, which partially offset the negative effects of land expansion. This indicates that the impact of AP depends on spatial structure and land-use intensity.</p>
<p>The technological development level (TDL) shows a <inline-formula id="inf62">
<mml:math id="m69">
<mml:mrow>
<mml:msub>
<mml:mi>&#x3b2;</mml:mi>
<mml:mrow>
<mml:mi>a</mml:mi>
<mml:mi>v</mml:mi>
<mml:mi>g</mml:mi>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> of &#x2212;0.10, with the most pronounced negative effects observed in the Yellow River Midstream, Middle Reaches of the Yangtze River, and Northwest regions. This pattern is mainly due to insufficient R&#x26;D investment and low technology transfer efficiency, which hinder the establishment of effective green technology support systems. Laiwu and Ordos, for instance, are constrained by low industrial technological levels and inadequate investment in green R&#x26;D, preventing the realization of their energy-saving and emission-reduction potential. As a result, technological development fails to translate into emission reductions, leading to declines in carbon emission efficiency.</p>
<p>Carbon emissions per unit of industrial output (CUE) are consistently negatively correlated with efficiency, with <inline-formula id="inf63">
<mml:math id="m70">
<mml:mrow>
<mml:msub>
<mml:mi>&#x3b2;</mml:mi>
<mml:mrow>
<mml:mi>a</mml:mi>
<mml:mi>v</mml:mi>
<mml:mi>g</mml:mi>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> &#x3d; &#x2212;0.19. Parks such as Aral, Tangshan, and Fushun are dominated by steel, chemical, and other energy-intensive industries, characterized by high energy consumption and carbon intensity, resulting in lower efficiency. In contrast, Suzhou and Foshan have maintained higher carbon emission efficiency by strengthening energy use monitoring, promoting energy-saving technologies, and leveraging carbon market price signals to encourage emission reductions.</p>
<p>In summary, improvements in industrial output efficiency depend critically on clean production processes and refined management. Capital and land expansion, when supported by technological progress, can simultaneously increase capacity and reduce carbon emissions per unit of output, mitigating the negative effects of high-carbon asset lock-in. Conversely, when R&#x26;D investment is insufficient and technology transfer efficiency is low, expansion tends to be accompanied by rising energy consumption and emissions, ultimately leading to declines in efficiency.</p>
</sec>
</sec>
<sec sec-type="discussion" id="s5">
<label>5</label>
<title>Discussion</title>
<p>Previous studies have often relied on city-level carbon emission data to indirectly estimate park level efficiency; however, this approach fails to accurately reflect the actual emission characteristics within parks. In contrast, this study employs EDGAR&#x2013;CO<sub>2</sub> gridded emission data based on emission inventories and matches them with the vector boundaries of national HTZs to directly extract total park-level carbon emissions. This method improves both the spatial matching accuracy and the credibility of the emission data.</p>
<p>The study employs a non-oriented Super-SBM model with undesirable outputs under a NIRS assumption to measure efficiency. By simultaneously optimizing both inputs and outputs, this approach helps avoid, to some extent, inflated efficiency scores arising from scale expansion, and better reflects real-world conditions in which efficiency improvements are primarily driven by technological progress. In addition, a carbon emission efficiency matrix of leading industry combinations is constructed to link park-level efficiency performance with their dominant industrial structures. This approach reveals the emission reduction potential and efficiency gaps associated with different industry portfolios, offering a new analytical perspective on the low-carbon transition of national HTZs.</p>
<p>The study classifies the driving factors into four dimensions&#x2014;economic and industrial structure, technological innovation and R&#x26;D, environmental policy and green finance, and human and social development&#x2014;and integrates the geographic detector with the multiscale geographically and MGTWR model. This extends the analysis from a static perspective to a spatiotemporal one, clarifying the spatiotemporal heterogeneity and multi-scale mechanisms of how these driving factors affect efficiency.</p>
<p>Although this study conducts a systematic exploration of efficiency measurement, regional disparities, and driving factors, it still has certain limitations that need to be further improved in future research. While the EDGAR emission inventory offers high international comparability and spatial resolution, it is subject to uncertainties in inventory compilation and biases in underlying energy statistics. Therefore, the carbon emissions of HTZs extracted using EDGAR-CO<sub>2</sub> data should be understood as the best possible estimates under current data conditions, rather than absolutely precise values.</p>
<p>The input&#x2013;output indicator system adopts total industrial output and CO<sub>2</sub> emissions as the desirable and undesirable outputs, respectively, without incorporating other economic indicators or atmospheric pollutant emission indicators, which may to some extent constrain a more comprehensive representation of the connotation of green and low-carbon development. Subject to data availability, future studies could enhance the explanatory power of carbon emission efficiency evaluation by introducing multiple desirable and undesirable output indicators.</p>
<p>The combined use of the geographic detector and the MGTWR model in this study is mainly intended to analyze spatial correlations and spatiotemporal heterogeneity among variables, and to identify the scales at which the driving factors are more strongly associated with carbon emission efficiency, rather than to directly establish causal relationships. Future research could incorporate causal inference approaches such as quasi-natural experiments and event-study designs, with a particular focus on how environmental regulation, green finance, and carbon markets interact to influence the carbon emission efficiency of national HTZs and shape their emission reduction pathways, thereby providing an empirical basis for formulating more operational low-carbon transition policies.</p>
</sec>
<sec sec-type="conclusion" id="s6">
<label>6</label>
<title>Conclusion</title>
<p>The study measures the carbon emission efficiency of 178 national HTZs from 2008 to 2023 and conducts an empirical analysis from three perspectives: overall, regional, and industrial. The results show that the carbon emission efficiency of HTZs exhibits an evolutionary pattern of &#x201c;fluctuating upward and gradually stabilizing,&#x201d; with only 24% of the parks rated as &#x201c;excellent or good,&#x201d; while most fall into the &#x201c;medium&#x201d; category. This indicates that, under the guidance of the &#x201c;dual-carbon&#x201d; goals and the innovation-driven strategy, national HTZs have already achieved notable emission reduction outcomes. However, the fact that only about 24% of the parks reach an excellent level and the majority remain at a medium level also suggests substantial room for improvement in their overall carbon emission efficiency.</p>
<p>The efficiency pattern across the eight integrated economic regions exhibits a &#x201c;high in the south, low in the north&#x201d; distribution. The Southern Coastal and Eastern Coastal economic regions show relatively higher efficiency, while the Great Northwest and the Yellow River Middle Reaches lag behind, indicating that regional differences in technological development, industrial structure, and institutional arrangements have a pronounced impact on carbon emission efficiency.</p>
<p>The carbon emission efficiency of national HTZs exhibits an overall pattern of negative spatial correlation, characterized by high-low and low-high adjacency patterns among parks, indicating problems such as insufficient technological diffusion and unbalanced resource allocation across regions. Park area (AP) and carbon emissions per unit of industrial output (CUE) are key variables affecting efficiency. The direction and magnitude of the effects of different factors are not consistent across temporal and spatial scales, with the heterogeneity of local-scale variables such as GIO, TAP, AP, TDL, and CUE being particularly pronounced. This suggests that the carbon emission efficiency of national HTZs is jointly shaped by macro-level policies, resource endowments, and their stage of development.</p>
<p>These findings suggest that improving carbon emission efficiency requires expanding production capacity on the basis of technological progress, optimizing energy use and industrial structure, and reducing carbon emissions per unit of output through the efficient allocation of land and capital. At the same time, it is necessary to design context-specific mitigation pathways that fully respect regional heterogeneity and stages of development, so as to advance economic growth and the low-carbon transition in a coordinated manner.</p>
</sec>
</body>
<back>
<sec sec-type="data-availability" id="s7">
<title>Data availability statement</title>
<p>The original contributions presented in the study are included in the article/<xref ref-type="sec" rid="s13">Supplementary Material</xref>, further inquiries can be directed to the corresponding author.</p>
</sec>
<sec sec-type="author-contributions" id="s8">
<title>Author contributions</title>
<p>CL: Software, Writing &#x2013; original draft, Formal Analysis, Methodology, Visualization, Data curation, Validation, Conceptualization, Writing &#x2013; review and editing. JH: Writing &#x2013; review and editing, Conceptualization, Funding acquisition, Resources, Project administration, Validation, Supervision.</p>
</sec>
<sec sec-type="COI-statement" id="s10">
<title>Conflict of interest</title>
<p>The author(s) declared that this work 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="s11">
<title>Generative AI statement</title>
<p>The author(s) declared that generative AI was not 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="s12">
<title>Publisher&#x2019;s note</title>
<p>All claims expressed in this article are solely those of the authors and do not necessarily represent those of their affiliated organizations, or those of the publisher, the editors and the reviewers. Any product that may be evaluated in this article, or claim that may be made by its manufacturer, is not guaranteed or endorsed by the publisher.</p>
</sec>
<sec sec-type="supplementary-material" id="s13">
<title>Supplementary material</title>
<p>The Supplementary Material for this article can be found online at: <ext-link ext-link-type="uri" xlink:href="https://www.frontiersin.org/articles/10.3389/fenvs.2025.1731000/full#supplementary-material">https://www.frontiersin.org/articles/10.3389/fenvs.2025.1731000/full&#x23;supplementary-material</ext-link>
</p>
<supplementary-material xlink:href="Table1.xlsx" id="SM1" mimetype="application/xlsx" xmlns:xlink="http://www.w3.org/1999/xlink"/>
</sec>
<fn-group>
<fn fn-type="custom" custom-type="edited-by">
<p>
<bold>Edited by:</bold> <ext-link ext-link-type="uri" xlink:href="https://loop.frontiersin.org/people/645617/overview">Xu Zhao</ext-link>, Shandong University, China</p>
</fn>
<fn fn-type="custom" custom-type="reviewed-by">
<p>
<bold>Reviewed by:</bold> <ext-link ext-link-type="uri" xlink:href="https://loop.frontiersin.org/people/1955481/overview">Suisui Chen</ext-link>, Ocean University of China, China</p>
<p>
<ext-link ext-link-type="uri" xlink:href="https://loop.frontiersin.org/people/3143603/overview">Meiling Wu</ext-link>, Chengdu University of Technology, China</p>
</fn>
</fn-group>
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<app-group>
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<title>Appendix A</title>
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