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<front>
<journal-meta>
<journal-id journal-id-type="publisher-id">Front. Ecol. Evol.</journal-id>
<journal-title>Frontiers in Ecology and Evolution</journal-title>
<abbrev-journal-title abbrev-type="pubmed">Front. Ecol. Evol.</abbrev-journal-title>
<issn pub-type="epub">2296-701X</issn>
<publisher>
<publisher-name>Frontiers Media S.A.</publisher-name>
</publisher>
</journal-meta>
<article-meta>
<article-id pub-id-type="doi">10.3389/fevo.2023.1230919</article-id>
<article-categories>
<subj-group subj-group-type="heading">
<subject>Ecology and Evolution</subject>
<subj-group>
<subject>Original Research</subject>
</subj-group>
</subj-group>
</article-categories>
<title-group>
<article-title>Ecological and economic influencing factors on the spatial and temporal evolution of carbon balance zoning in the Taihu Basin</article-title>
</title-group>
<contrib-group>
<contrib contrib-type="author">
<name>
<surname>Wang</surname>
<given-names>Yazhu</given-names>
</name>
<uri xlink:href="https://loop.frontiersin.org/people/2208423"/>
</contrib>
<contrib contrib-type="author">
<name>
<surname>Wang</surname>
<given-names>Yuxiang</given-names>
</name>
</contrib>
<contrib contrib-type="author" corresp="yes">
<name>
<surname>Duan</surname>
<given-names>Xuejun</given-names>
</name>
<xref ref-type="author-notes" rid="fn001">
<sup>*</sup>
</xref>
</contrib>
</contrib-group>
<aff id="aff1">
<institution>Nanjing Institute of Geography and Limnology, Chinese Academy of Sciences</institution>, <addr-line>Nanjing, Jiangsu</addr-line>, <country>China</country>
</aff>
<author-notes>
<fn fn-type="edited-by">
<p>Edited by: Changchun Huang, Nanjing Normal University, China</p>
</fn>
<fn fn-type="edited-by">
<p>Reviewed by: Shicheng Li, China University of Geosciences Wuhan, China</p>
<p>Yu Chen, Nanjing Normal University, China</p>
<p>Chenjing Fan, Nanjing Forestry University, China</p>
</fn>
<fn fn-type="corresp" id="fn001">
<p>*Correspondence: Xuejun Duan, <email xlink:href="mailto:xjduan@niglas.ac.cn">xjduan@niglas.ac.cn</email>
</p>
</fn>
</author-notes>
<pub-date pub-type="epub">
<day>17</day>
<month>01</month>
<year>2024</year>
</pub-date>
<pub-date pub-type="collection">
<year>2023</year>
</pub-date>
<volume>11</volume>
<elocation-id>1230919</elocation-id>
<history>
<date date-type="received">
<day>01</day>
<month>06</month>
<year>2023</year>
</date>
<date date-type="accepted">
<day>30</day>
<month>11</month>
<year>2023</year>
</date>
</history>
<permissions>
<copyright-statement>Copyright &#xa9; 2024 Wang, Wang and Duan</copyright-statement>
<copyright-year>2024</copyright-year>
<copyright-holder>Wang, Wang and Duan</copyright-holder>
<license xlink:href="http://creativecommons.org/licenses/by/4.0/">
<p>This is an open-access article distributed under the terms of the Creative Commons Attribution License (CC BY). The use, distribution or reproduction in other forums is permitted, provided the original author(s) and the copyright owner(s) are credited and that the original publication in this journal is cited, in accordance with accepted academic practice. No use, distribution or reproduction is permitted which does not comply with these terms.</p>
</license>
</permissions>
<abstract>
<p>The escalation in carbon dioxide concentration has precipitated global climate warming, accentuating ecological and environmental concerns. Notably, China stands as the world&#x2019;s largest carbon emitter, with the Taihu Lake basin emerging as a carbon-intensive region within the country. This paper undertakes a comprehensive analysis spanning 2005 to 2020, calculating the economic contribution coefficient of carbon emissions and the ecological carrying coefficient of carbon absorption in the Taihu Lake basin. The study includes a delineation of carbon balance zones and an exploration of the geographical and spatial influences of both ecosystem and economic factors. The overarching trend in carbon emissions within the Taihu Lake Basin initially exhibited rapid growth, followed by a fluctuating decline, with the pivotal year being 2012, recording the apex of emissions at 575.8293 million tons. Concurrently, total carbon absorption demonstrated a fluctuating growth trajectory, ascending from 82.3503 million tons in 2005 to 85.6488 million tons in 2020. The carbon emission intensity in the basin manifested a pattern of high concentration in the northeast and low concentration in the southwest, while the carbon absorption intensity displayed the inverse pattern. The carbon balance across the Taihu Lake Basin revealed a spatial incongruity, characterized by a suboptimal pattern in the northeast and a favorable pattern in the southwest. Zhejiang Province emerged as an ecological stronghold within the basin, acting as the primary carbon sink functional area. Urban built-up areas and forested regions emerged as principal influencers of carbon balance in the Taihu Lake basin. Urban construction land, population density, and arable land area were identified as primary contributors to carbon emissions, whereas per capita GDP, forests, grasslands, and water bodies were identified as main contributors to carbon absorption in the watershed.</p>
</abstract>
<kwd-group>
<kwd>multiscale geographically weighted regression (MGWR)</kwd>
<kwd>carbon balance</kwd>
<kwd>carbon balance zoning</kwd>
<kwd>Taihu lake basin</kwd>
<kwd>carbon neutrality</kwd>
</kwd-group>
<counts>
<fig-count count="9"/>
<table-count count="2"/>
<equation-count count="3"/>
<ref-count count="65"/>
<page-count count="13"/>
<word-count count="6041"/>
</counts>
<custom-meta-wrap>
<custom-meta>
<meta-name>section-in-acceptance</meta-name>
<meta-value>Environmental Informatics and Remote Sensing</meta-value>
</custom-meta>
</custom-meta-wrap>
</article-meta>
</front>
<body>
<sec id="s1" sec-type="intro">
<label>1</label>
<title>Introduction</title>
<p>Since the advent of the Industrial Revolution, the global community has expressed widespread apprehension concerning the issue of global climate change, originating from the upswing in carbon emissions (<xref ref-type="bibr" rid="B41">Meinshausen et&#xa0;al., 2009</xref>; <xref ref-type="bibr" rid="B3">Al-Arkawazi, 2018</xref>). This phenomenon poses a substantial long-term challenge to human society, primarily materializing as greenhouse effects resulting from heightened energy consumption and carbon dioxide emissions (<xref ref-type="bibr" rid="B31">Kerr, 2001</xref>; <xref ref-type="bibr" rid="B56">Wang and Zhao, 2018</xref>). In a bid to address global climate change and facilitate worldwide carbon emission reduction (<xref ref-type="bibr" rid="B11">Chowdhury, 2012</xref>), more than 130 countries and regions have articulated ambitious goals or visions centered around &#x201c;carbon neutrality&#x201d; (<xref ref-type="bibr" rid="B17">Dhakal, 2009</xref>; <xref ref-type="bibr" rid="B53">Taylor et&#xa0;al., 2016</xref>). In alignment with the 2020 Paris Agreement, the Chinese government has pledged to attain its peak carbon emissions by 2030 and achieve carbon neutrality by 2060 (<xref ref-type="bibr" rid="B18">Dong et&#xa0;al., 2019</xref>). However, China currently contends with the status of harboring the highest urban population, the most substantial energy consumption, and the largest carbon emissions globally, thereby confronting considerable pressure to mitigate its carbon footprint (<xref ref-type="bibr" rid="B19">Dong et&#xa0;al., 2018</xref>). It is imperative to acknowledge that the climate impacts of carbon are not solely contingent upon carbon emissions but also on carbon sequestration (<xref ref-type="bibr" rid="B48">Sahe et&#xa0;al., 2018</xref>). Through the application of carbon balance partitioning, the scrutiny of carbon balance across diverse spatial units becomes feasible, providing a valuable tool for realizing regional carbon neutrality. Consequently, this approach assumes paramount significance in China&#x2019;s pursuit of its climate goals (<xref ref-type="bibr" rid="B40">Madlener and Sunak, 2011</xref>).</p>
<p>Carbon balance assumes a pivotal role in global climate change research, constituting a fundamental aspect of green and low-carbon development (<xref ref-type="bibr" rid="B16">Davis and Caldeira, 2010</xref>; <xref ref-type="bibr" rid="B22">Friedlingstein et&#xa0;al., 2010</xref>). Scholars have extensively delved into diverse facets of carbon accounting, spatiotemporal differentiation, the interaction between carbon balance and industrial structure (<xref ref-type="bibr" rid="B1">Abd Rashid and Yusoff, 2015</xref>), economic growth (<xref ref-type="bibr" rid="B12">Chuai et&#xa0;al., 2012</xref>), and land use patterns (<xref ref-type="bibr" rid="B4">Anderson et&#xa0;al., 1996</xref>), as well as factors influencing carbon balance (<xref ref-type="bibr" rid="B20">Feng et&#xa0;al., 2013</xref>). Furthermore, regional disparities have given rise to divergent capacities for carbon balance across various areas (<xref ref-type="bibr" rid="B62">Yao et&#xa0;al., 2021</xref>). The emerging field of carbon compensation has garnered attention in the context of global climate change and green and low-carbon development. Numerous literature reviews have scrutinized carbon balance, carbon equilibrium, and carbon cycling from different research perspectives, spanning global scales (<xref ref-type="bibr" rid="B26">Hong et&#xa0;al., 2021</xref>), national levels (<xref ref-type="bibr" rid="B34">Liu et&#xa0;al., 2020</xref>), urban agglomerations (<xref ref-type="bibr" rid="B24">Fu et&#xa0;al., 2019</xref>; <xref ref-type="bibr" rid="B35">Liu et&#xa0;al., 2022</xref>), provincial regions (<xref ref-type="bibr" rid="B60">Xiong et&#xa0;al., 2022</xref>), cities (<xref ref-type="bibr" rid="B55">Wang et&#xa0;al., 2017</xref>), and counties (<xref ref-type="bibr" rid="B58">Xiong et&#xa0;al., 2019</xref>). Quantitative research models have emerged as a prominent methodological approach, encompassing input-output analysis (<xref ref-type="bibr" rid="B29">Huang et&#xa0;al., 2018</xref>), time series regression models (<xref ref-type="bibr" rid="B2">Acquaye and Duffffy, 2010</xref>), fixed-effects models, STIRPAT model (<xref ref-type="bibr" rid="B23">Fu et&#xa0;al., 2015</xref>), IPAT environmental pollution model (<xref ref-type="bibr" rid="B32">Kopidou et&#xa0;al., 2016</xref>), and Granger causality tests, among others.</p>
<p>The relationship between urbanization and carbon balance is also a research hotspot (<xref ref-type="bibr" rid="B37">Lv et&#xa0;al., 2019</xref>). The impact of urbanization on carbon balance is intricate, involving multiple factors and complex transmission processes (<xref ref-type="bibr" rid="B45">Poumanyvong and Kaneko, 2010</xref>). Generally, driving factors encompass population size, economic level (<xref ref-type="bibr" rid="B6">Auffffhammer and Carson, 2008</xref>), technological factors, industrial structure, energy consumption structure (<xref ref-type="bibr" rid="B51">Sim&#xc3;&#xb5;es et&#xa0;al., 2016</xref>), and degree of openness. The urbanization process significantly influences CO<sub>2</sub> balance (<xref ref-type="bibr" rid="B44">Ponce de Leon Barido and Marshall, 2014</xref>), as it represents a major contributor to global carbon emissions (<xref ref-type="bibr" rid="B17">Dhakal, 2009</xref>; <xref ref-type="bibr" rid="B9">Chen and Lin, 2021</xref>) and a key factor altering land carbon balance (<xref ref-type="bibr" rid="B65">Zhang et&#xa0;al., 2022</xref>). Moreover, ecosystem carbon sequestration can modify carbon emissions within human activity-intensive areas, thereby exerting a substantial influence on global carbon balance (<xref ref-type="bibr" rid="B33">Lai et&#xa0;al., 2016</xref>).</p>
<p>Reflecting on prior research, the majority of studies have predominantly examined changes in carbon emissions resulting from human activities within cities (<xref ref-type="bibr" rid="B49">Satterthwaite, 2008</xref>), while investigations on the integrated changes stemming from the interplay between human activities and ecosystems at the river basin scale have received less attention (<xref ref-type="bibr" rid="B54">Wang and Feng, 2017</xref>). Existing studies have generally overlooked the spatial interdependence of carbon balance among research units and the spatial heterogeneity of influential factors (<xref ref-type="bibr" rid="B8">Chen et&#xa0;al., 2018</xref>). Moreover, they have neglected the endogenous spatial expansion mechanism of carbon emissions, driven by variations in multi-subject ecological and economic elements, as well as the spatial interaction mechanism of carbon emissions within the region (<xref ref-type="bibr" rid="B14">Corrado and Fingleton, 2012</xref>). Consequently, this oversight introduces potential contingencies in research conclusions pertaining to spatial effects (<xref ref-type="bibr" rid="B39">Maddison, 2006</xref>).</p>
<p>To bridge these gaps, this study aims to address existing gaps by making four primary contributions. Firstly, we computed the geographical and spatiotemporal characteristics of CO<sub>2</sub> balance in the Taihu Basin, investigating the patterns and scale of spatial spillover effects. This facilitates the differentiation of emission reduction responsibilities among regions and offers evidence for carbon emission quota allocation (<xref ref-type="bibr" rid="B30">Kanaroglou et&#xa0;al., 2013</xref>). Secondly, we assessed the spatial heterogeneity of ecosystem impact factors and mechanisms related to CO<sub>2</sub> emissions in the Taihu Basin, a critical perspective often overlooked in numerous studies despite its significance for CO<sub>2</sub> emission reduction practices. Thirdly, the research findings substantiate the spatial partitioning of carbon balance, quantify the relationship between ecosystems, economic development, and carbon emissions, and advocate for diverse government departments to implement measures for carbon emission control (<xref ref-type="bibr" rid="B64">Zhang et&#xa0;al., 2011</xref>). Finally, a robust spatial correlation exists within the carbon balance. This article utilizes the multiscale geographically weighted regression model, accounting for spatial effects and thereby enhancing the precision of the research findings (<xref ref-type="bibr" rid="B28">Huang et&#xa0;al., 2020</xref>).</p>
<p>The Taihu Basin holds significant importance as a terrestrial ecological carbon sink within China. Simultaneously, it represents an economically developed and densely populated region characterized by substantial carbon emissions. Given the interconnectedness and integrity of the basin&#x2019;s ecological environment, studying regional carbon balance and implementing optimization measures within the basin becomes of immense practical significance (<xref ref-type="bibr" rid="B38">Ma et&#xa0;al., 2022</xref>). In this study, the research area focuses specifically on the Taihu Basin, integrating carbon emission data from 2005 to 2020. The county serves as the fundamental unit, and the MGWR model is employed to examine the spatial distribution and influencing factors of carbon emissions and carbon absorption intensity within the basin. Additionally, the study aims to delineate carbon balance zones, thereby providing a scientific foundation for addressing carbon balance, ecological governance, restoration, and consolidation efforts within the Taihu Basin.</p>
</sec>
<sec id="s2">
<label>2</label>
<title>Data and methods</title>
<sec id="s2_1">
<label>2.1</label>
<title>Study area</title>
<p>The Taihu Lake Basin is situated between 119&#xb0;11&#x2019;&#x2013;121&#xb0;53&#x2019; E and 30&#xb0;28&#x2019;&#x2013;32&#xb0;15&#x2019; N at the heart of the Yangtze River Delta. Renowned for its economic prowess, this region stands as one of China&#x2019;s most developed and densely populated areas, serving as a focal point for the nation&#x2019;s most advanced technologies. The region contends with a conspicuous contradiction involving economic growth, environmental considerations, and resource management (<xref ref-type="fig" rid="f1">
<bold>Figure&#xa0;1</bold>
</xref>). Within the core of the Yangtze River Delta lies Taihu Lake, encompassing the most thriving urban agglomeration in China, which includes cities such as Shanghai, Suzhou, Changzhou, Wuxi, Zhenjiang, Hangzhou, Jiaxing, Huzhou, and several others located within the basin. Since 1980, the basin&#x2019;s economy has experienced substantial growth, marked by an average annual gross domestic product (GDP) growth rate of 15.7%, a population growth rate of 3.0%, and an urbanization rate of 9.2%. By 2020, the total population residing in the region reached 67.55 million, while the total GDP amounted to 9,997.8 billion yuan. Despite occupying a mere 0.4% of China&#x2019;s total land area, the Taihu Lake Basin accounts for 4.80% of the total population and 9.80% of the total GDP (<xref ref-type="bibr" rid="B61">Yang et&#xa0;al., 2023</xref>). However, it consumes 17.5% of China&#x2019;s total energy and is responsible for 15.5% of the nation&#x2019;s total carbon emissions. Industrial activities predominantly drive carbon emissions exhibiting a general upward trend, with a 2.5-fold increase from 2,076,300 tons in 2005 to 5,232,500 tons in 2020. The region has experienced swift industrialization and urbanization, leading to substantial changes in patterns of industrial energy consumption, industrial enterprise, and carbon emissions. Consequently, the Taihu Lake Basin holds pivotal significance in China&#x2019;s endeavors to achieve its &#x201c;carbon peak&#x201d; and &#x201c;carbon neutrality&#x201d; commitments (<xref ref-type="bibr" rid="B57">Wu et&#xa0;al., 2018</xref>).</p>
<fig id="f1" position="float">
<label>Figure&#xa0;1</label>
<caption>
<p>Overview of the Taihu Lake Basin Urban Study Area.</p>
</caption>
<graphic mimetype="image" mime-subtype="tiff" xlink:href="fevo-11-1230919-g001.tif"/>
</fig>
</sec>
<sec id="s2_2">
<label>2.2</label>
<title>Data sources</title>
<p>The research incorporated adjustments for recent changes in counties and cities based on the administrative divisions of Jiangsu Province, Zhejiang Province, and Shanghai in 2020. The investigation covered the period from 2005 to 2020 and utilized GDP spatial data and land use data (1 km grid) obtained from the Science and Environment Data Center at the Chinese Academy of Sciences (<ext-link ext-link-type="uri" xlink:href="HTTP://www.resdc.cn/">HTTP://www.resdc.cn/</ext-link>). The population data is sourced from the &#x201c;China Urban Statistical Yearbook&#x201d; (2001-2021) and the statistical yearbooks of various provinces. Carbon emissions and carbon absorption data were obtained from the China carbon accounting database CEADS (<ext-link ext-link-type="uri" xlink:href="https://www.ceads.net.cn/">https://www.ceads.net.cn/</ext-link>), which employs the particle swarm optimization-backpropagation (PSO-BP) algorithm to harmonize and standardize DMSP/OLS and NPP/VIIRS satellite data with nighttime artificial light data, representing China&#x2019;s provinces and cities, as well as CO<sub>2</sub> emission data indicating fossil energy consumption in China. The approach utilizes a top-down method to estimate CO<sub>2</sub> emissions from fossil energy consumption at the district and county levels, leveraging the total artificial light in each district and county as a weighting factor. Lastly, the carbon sequestration associated with terrestrial vegetation was assessed using the conversion coefficient for vegetation dry matter and CO<sub>2</sub> absorption (<ext-link ext-link-type="uri" xlink:href="https://www.resdc.cn/data.aspx?DATAID=343">https://www.resdc.cn/data.aspx?DATAID=343</ext-link>).</p>
</sec>
<sec id="s2_3">
<label>2.3</label>
<title>Methods</title>
<sec id="s2_3_1">
<label>2.3.1</label>
<title>Economy contributive coefficient of carbon emissions</title>
<p>The Economy Contributive Coefficient (ECC) was employed to gauge the variations in carbon emissions within the basin through an economic benefit lens (<xref ref-type="bibr" rid="B47">Rong et&#xa0;al., 2020</xref>). The calculation formula for ECC is as follows:</p>
<disp-formula id="eq1">
<label>(1)</label>
<mml:math display="block" id="M1">
<mml:mrow>
<mml:mtable>
<mml:mtr>
<mml:mtd>
<mml:mrow>
<mml:mtext>ECC</mml:mtext>
<mml:mo>=</mml:mo>
<mml:mfrac>
<mml:mrow>
<mml:mfrac>
<mml:mrow>
<mml:mtext>Cn</mml:mtext>
</mml:mrow>
<mml:mtext>C</mml:mtext>
</mml:mfrac>
</mml:mrow>
<mml:mrow>
<mml:mfrac>
<mml:mrow>
<mml:mtext>Dn</mml:mtext>
</mml:mrow>
<mml:mtext>D</mml:mtext>
</mml:mfrac>
</mml:mrow>
</mml:mfrac>
</mml:mrow>
</mml:mtd>
</mml:mtr>
</mml:mtable>
</mml:mrow>
</mml:math>
</disp-formula>
<p>In the formula, Cn and Dn denote the GDP and carbon emissions of the nth county, while C and D represent the GDP and carbon emissions of the Taihu Lake Basin, respectively. An ECC value greater than 1 signifies a high economic contribution coefficient for carbon emissions in a county, whereas a value less than 1 indicates the opposite scenario.</p>
</sec>
<sec id="s2_3_2">
<label>2.3.2</label>
<title>Carbon absorption ecological carrying coefficient</title>
<p>The Ecological Support Coefficient (ESC) is a metric that quantifies the ratio of carbon absorption to carbon emissions within a specific region relative to a larger area, thereby serving as an indicator of the carbon sink capacity of a given watershed (<xref ref-type="bibr" rid="B21">Fotheringham et&#xa0;al., 2017</xref>). The calculation formula for ESC is as follows:</p>
<disp-formula id="eq2">
<label>(2)</label>
<mml:math display="block" id="M2">
<mml:mrow>
<mml:mtable>
<mml:mtr>
<mml:mtd>
<mml:mrow>
<mml:mtext>ESC</mml:mtext>
<mml:mo>=</mml:mo>
<mml:mfrac>
<mml:mrow>
<mml:mfrac>
<mml:mrow>
<mml:mtext>Em</mml:mtext>
</mml:mrow>
<mml:mtext>E</mml:mtext>
</mml:mfrac>
</mml:mrow>
<mml:mrow>
<mml:mfrac>
<mml:mrow>
<mml:mtext>Dm</mml:mtext>
</mml:mrow>
<mml:mtext>D</mml:mtext>
</mml:mfrac>
</mml:mrow>
</mml:mfrac>
</mml:mrow>
</mml:mtd>
</mml:mtr>
</mml:mtable>
</mml:mrow>
</mml:math>
</disp-formula>
<p>In the formula, Em and Dm denote the carbon absorption and carbon emissions of the mth county, while E and D represent the carbon absorption and carbon emissions of the entire Taihu Lake Basin, respectively. An ESC value greater than 1 signifies a high carbon absorption ecological carrying capacity in a county, while a value less than 1 indicates the opposite scenario.</p>
</sec>
<sec id="s2_3_3">
<label>2.3.3</label>
<title>Carbon balance zoning method</title>
<p>In this study, the SOM-K-means clustering model is employed to delineate the carbon balance zoning within the Taihu Basin. The self-organizing feature mapping neural network (SOM) is a type of unsupervised classification neural network that effectively addresses classification problems. Conversely, the K-means clustering algorithm is a clustering analysis technique that utilizes the sum of squared errors as a criterion function to organize data samples with similar features (<xref ref-type="bibr" rid="B5">Arima et&#xa0;al., 2003</xref>). By integrating the self-organizing, adaptive, and fault-tolerant properties of SOM with the high efficiency, interpretability, and rapid convergence rate of K-means, the SOM-K-means clustering model conducts a two-stage clustering approach on the data samples. In the first stage, SOM is utilized to perform preliminary clustering and determine the number of categories as well as the center points for each category. Subsequently, in the second stage, the clustering results from the first stage are utilized as input values, and the K-means clustering algorithm is applied to generate the final clustering outcomes.</p>
</sec>
<sec id="s2_3_4">
<label>2.3.4</label>
<title>The multiscale geographically weighted regression model</title>
<p>The MGWR model incorporates varying levels of spatial smoothing for individual variables and employs distinct bandwidths for each independent variable to capture the extent of geographic spatial effects on dependent variables. In contrast to the geographically weighted regression (GWR) model and multiple linear regression models (OLS), the MGWR model better accommodates the spatial heterogeneity inherent in geographical processes. It was a statistical inference method for this model was subsequently (<xref ref-type="bibr" rid="B63">Yu et&#xa0;al., 2020</xref>). The model&#x2019;s structure can be outlined as follows:</p>
<disp-formula id="eq3">
<label>(3)</label>
<mml:math display="block" id="M3">
<mml:mrow>
<mml:mtable>
<mml:mtr>
<mml:mtd>
<mml:mrow>
<mml:msub>
<mml:mi>Y</mml:mi>
<mml:mi>i</mml:mi>
</mml:msub>
<mml:mo>=</mml:mo>
<mml:msub>
<mml:mi>&#x3b2;</mml:mi>
<mml:mn>0</mml:mn>
</mml:msub>
<mml:msub>
<mml:mo stretchy="false">(</mml:mo>
<mml:mtext>Ui</mml:mtext>
</mml:msub>
<mml:mi>,</mml:mi>
<mml:msub>
<mml:mi>V</mml:mi>
<mml:mi>i</mml:mi>
</mml:msub>
<mml:mo stretchy="false">)</mml:mo>
<mml:mo>+</mml:mo>
<mml:mstyle displaystyle="true">
<mml:munderover>
<mml:mo>&#x2211;</mml:mo>
<mml:mrow>
<mml:mi>j</mml:mi>
<mml:mo>=</mml:mo>
<mml:mn>1</mml:mn>
</mml:mrow>
<mml:mi>k</mml:mi>
</mml:munderover>
<mml:mrow>
<mml:msub>
<mml:mi>&#x3b2;</mml:mi>
<mml:mrow>
<mml:mi>b</mml:mi>
<mml:mi>w</mml:mi>
<mml:mi>j</mml:mi>
</mml:mrow>
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<mml:mrow>
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</mml:mrow>
</mml:msub>
<mml:mo>+</mml:mo>
<mml:msub>
<mml:mi>&#x3f5;</mml:mi>
<mml:mi>i</mml:mi>
</mml:msub>
</mml:mrow>
</mml:mstyle>
</mml:mrow>
</mml:mtd>
</mml:mtr>
</mml:mtable>
</mml:mrow>
</mml:math>
</disp-formula>
<p>where <inline-formula>
<mml:math display="inline" id="im1">
<mml:mrow>
<mml:msub>
<mml:mi>Y</mml:mi>
<mml:mi>i</mml:mi>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> is the attribute value of <inline-formula>
<mml:math display="inline" id="im2">
<mml:mrow>
<mml:mi>i</mml:mi>
<mml:mo>;</mml:mo>
</mml:mrow>
</mml:math>
</inline-formula> <inline-formula>
<mml:math display="inline" id="im3">
<mml:mrow>
<mml:msub>
<mml:mi>U</mml:mi>
<mml:mi>i</mml:mi>
</mml:msub>
<mml:mi>,</mml:mi>
<mml:msub>
<mml:mi>V</mml:mi>
<mml:mi>i</mml:mi>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> indicates the coordinates at position i; <inline-formula>
<mml:math display="inline" id="im4">
<mml:mrow>
<mml:msub>
<mml:mi>&#x3b2;</mml:mi>
<mml:mn>0</mml:mn>
</mml:msub>
<mml:msub>
<mml:mi>U</mml:mi>
<mml:mi>i</mml:mi>
</mml:msub>
<mml:mi>,</mml:mi>
<mml:msub>
<mml:mi>V</mml:mi>
<mml:mi>i</mml:mi>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> is the intercept <inline-formula>
<mml:math display="inline" id="im5">
<mml:mrow>
<mml:mi>i</mml:mi>
<mml:mtext>&#xa0;</mml:mtext>
</mml:mrow>
</mml:math>
</inline-formula>of the model at <inline-formula>
<mml:math display="inline" id="im6">
<mml:mrow>
<mml:mi>b</mml:mi>
<mml:mi>w</mml:mi>
<mml:mi>j</mml:mi>
</mml:mrow>
</mml:math>
</inline-formula>; <inline-formula>
<mml:math display="inline" id="im7">
<mml:mi>j</mml:mi>
</mml:math>
</inline-formula> represents the bandwidth used by the regression coefficient of the first variable for which the relationship between the explanatory variable and the dependent variable allows <inline-formula>
<mml:math display="inline" id="im8">
<mml:mrow>
<mml:msub>
<mml:mi>&#x3b2;</mml:mi>
<mml:mrow>
<mml:mi>b</mml:mi>
<mml:mi>w</mml:mi>
<mml:mi>j</mml:mi>
<mml:msub>
<mml:mi>U</mml:mi>
<mml:mi>i</mml:mi>
</mml:msub>
<mml:mi>,</mml:mi>
<mml:msub>
<mml:mi>V</mml:mi>
<mml:mi>i</mml:mi>
</mml:msub>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> to change <inline-formula>
<mml:math display="inline" id="im9">
<mml:mrow>
<mml:mi>i</mml:mi>
<mml:mtext>&#xa0;</mml:mtext>
</mml:mrow>
</mml:math>
</inline-formula> in <inline-formula>
<mml:math display="inline" id="im10">
<mml:mrow>
<mml:mi>j</mml:mi>
<mml:mtext>&#xa0;</mml:mtext>
</mml:mrow>
</mml:math>
</inline-formula> space, the regression coefficient <inline-formula>
<mml:math display="inline" id="im11">
<mml:mrow>
<mml:msub>
<mml:mi>&#x3f5;</mml:mi>
<mml:mi>i</mml:mi>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> is the first variable, and <inline-formula>
<mml:math display="inline" id="im12">
<mml:mrow>
<mml:mtext>&#xa0;</mml:mtext>
<mml:mi>i</mml:mi>
<mml:mtext>&#xa0;</mml:mtext>
</mml:mrow>
</mml:math>
</inline-formula> is the error term of the model. The quadratic kernel function and corrected Akaike information criterion (AICc), respectively, were adopted in this study as the model kernel function and the broadband selection criterion (<xref ref-type="bibr" rid="B7">Brunsdon et&#xa0;al., 2002</xref>).</p>
</sec>
</sec>
</sec>
<sec id="s3" sec-type="results">
<label>3</label>
<title>Results and discussion</title>
<sec id="s3_1">
<label>3.1</label>
<title>Carbon emissions and their spatiotemporal characteristics in the Taihu Lake Basin</title>
<p>The results indicate a noteworthy trend in the carbon emissions of the Taihu Lake Basin from 2005 to 2020, characterized by rapid growth followed by fluctuating decline with 2012 as the turning point (<xref ref-type="fig" rid="f2">
<bold>Figure&#xa0;2</bold>
</xref>). In 2005, the basin produced a total of 207.632 million tons of carbon emissions, which escalated sharply to 523.2451 million tons by 2020, reflecting an average annual growth rate of 10.13%. In 2012, the discharge within the Taihu Lake Basin peaked at 575.8293 million tons, representing the highest recorded volume during the specified period. Rapid urbanization and industrialization have brought about sharp energy consumption and increased carbon emissions (<xref ref-type="bibr" rid="B42">Miao et&#xa0;al., 2019</xref>). This period can be divided into two stages: 2005 to 2012 marked by rapid growth, and 2013 to 2020 characterized by volatile decline. Examining different regions within the basin, Jiangsu Province stood out with carbon emissions reaching 252.4574 million tons in 2020, surpassing Shanghai as the highest emitter. After stabilizing with an average annual growth rate of 9.22% post-2011, the province held the second position with 173.5355 million tons of emissions, yet experienced a rapid growth due to an average annual growth rate of 9.91%. Shanghai, driven by industrial development, claimed the leading role in carbon emissions in 2015; however, emissions decreased with an average annual growth rate of -3.5% after that. Zhejiang Province, with carbon emissions totaling 97.2522 million tons, ranked third in the basin from 2005 to 2012, showcasing an average annual carbon emissions growth rate of 17.84%. Post-2012, carbon emissions fluctuated and declined with an average annual growth rate of -8.11%.</p>
<fig id="f2" position="float">
<label>Figure&#xa0;2</label>
<caption>
<p>Trend of carbon emissions from 2005 to 2020 in the Taihu Lake Basin.</p>
</caption>
<graphic mimetype="image" mime-subtype="tiff" xlink:href="fevo-11-1230919-g002.tif"/>
</fig>
<p>From 2005 to 2020, there were notable changes in the carbon emission intensity across different districts and counties within the Taihu Lake Basin (<xref ref-type="fig" rid="f3">
<bold>Figure&#xa0;3</bold>
</xref>). In 2005, high-value areas of carbon emission intensity were concentrated in the eastern Shanghai area, extending throughout the basin. At that time, only Putuo District in Shanghai displayed a carbon emission intensity above 6, while 35 districts and counties exhibited carbon emission intensities below 0.5, spread across Jiangsu Province and Zhejiang Province excluding Shanghai. Throughout this period, carbon emissions were generally higher in the east and lower in the west. By 2020, the area of high carbon emission gradually expanded from Shanghai, forming a region of elevated carbon emission intensity covering the entire northern part of the basin with Shanghai at its center. During this time, two districts, Putuo District and Hongkou District in Shanghai, exhibited carbon emission intensities above 6. The number of districts and counties with carbon emission intensity below 0.5 decreased to 7, primarily located in the southwest region of the watershed bordering Zhejiang Province. Consequently, three levels of carbon emission intensity emerged in the basin: high intensity in the northern region along the Yangtze River, moderate intensity running through the middle of the basin from northwest to southeast, and low intensity in the western part, aligning in a north-south direction. Therefore, the spatial pattern of carbon emission intensity in the Taihu Lake Basin demonstrates higher levels in the east compared to the west and higher levels in the north compared to the south during this period. This finding aligns with previous research indicating substantial variations in CO<sub>2</sub> emissions among counties (<xref ref-type="bibr" rid="B59">Xiong et&#xa0;al., 2020</xref>).</p>
<fig id="f3" position="float">
<label>Figure&#xa0;3</label>
<caption>
<p>Carbon emission intensity from 2005 to 2020 in the Taihu Lake Basin.</p>
</caption>
<graphic mimetype="image" mime-subtype="tiff" xlink:href="fevo-11-1230919-g003.tif"/>
</fig>
</sec>
<sec id="s3_2">
<label>3.2</label>
<title>Carbon uptake and its spatiotemporal characteristics in the Taihu Lake Basin</title>
<p>From 2005 to 2020, the total carbon absorption exhibited a fluctuating growth trend, rising from 82.3503 million tons in 2005 to 85.6488 million tons in 2020, with an average annual growth rate of 0.26% (<xref ref-type="fig" rid="f4">
<bold>Figure&#xa0;4</bold>
</xref>). This increase can be segmented into three stages: 2005 to 2008, during which absorption declined with an average annual growth rate of -3.1%; 2009 to 2011, characterized by relatively stable absorption and an average annual growth rate of -0.42%; and 2012 to 2020, when absorption experienced rapid growth with an average annual growth rate of 0.18%. Examining different regions within the basin, Jiangsu Province exhibited a fluctuating growth trend in carbon absorption from 2005 to 2020, with an average annual growth rate of 0.31%, resulting in an annual carbon absorption of 39.1067 million tons in 2020, ranking first in terms of carbon absorption. Zhejiang Province ranked second, with a carbon absorption of 35.4185 million tons, also following a fluctuating growth trend from 2005 to 2020 but with a higher average annual growth rate of 0.43% compared to Jiangsu Province. Shanghai experienced a fluctuating downward trend in carbon absorption from 2005 to 2020, with an average annual growth rate of -0.32%. The variability in carbon uptake across the basin is evident, likely due to the varying regions and land use types. This has been confirmed by numerous studies (<xref ref-type="bibr" rid="B27">Houghton et&#xa0;al., 2012</xref>; <xref ref-type="bibr" rid="B25">Gui et&#xa0;al., 2023</xref>).</p>
<fig id="f4" position="float">
<label>Figure&#xa0;4</label>
<caption>
<p>Carbon uptake trend in the Taihu Lake Basin from 2005 to 2020.</p>
</caption>
<graphic mimetype="image" mime-subtype="tiff" xlink:href="fevo-11-1230919-g004.tif"/>
</fig>
<p>The changes in carbon absorption intensity among the districts and counties of the Taihu Lake Basin exhibited significant fluctuations during the period from 2005 to 2020 (<xref ref-type="fig" rid="f5">
<bold>Figure&#xa0;5</bold>
</xref>). In 2005, areas with high carbon absorption were primarily concentrated in the western and southeastern margins of the basin, with three districts and counties showing carbon absorption intensities above 0.5: Jurong City, Pinghu City, and Xinwu District. During this period, nine districts and counties displayed a carbon absorption intensity below 0.1, mostly comprising large cities in the central part of the basin. By 2020, 31 districts and counties in the western and southeastern regions demonstrated varying degrees of increase in carbon absorption intensity, while the number of districts and counties with carbon absorption intensities below 0.1 increased to 11, and the carbon absorption intensity in the urban cores further decreased. The carbon absorption intensity in the watershed exhibited a pattern of high intensity around the perimeter and low intensity within the urban core located in the middle. Overall, the pattern displayed lower intensity in the central area and higher intensity in the surrounding regions, accompanied by significant topographical differences.</p>
<fig id="f5" position="float">
<label>Figure&#xa0;5</label>
<caption>
<p>Carbon uptake intensity map for the Taihu Lake Basin from 2005 to 2020.</p>
</caption>
<graphic mimetype="image" mime-subtype="tiff" xlink:href="fevo-11-1230919-g005.tif"/>
</fig>
</sec>
<sec id="s3_3">
<label>3.3</label>
<title>Analysis of spatiotemporal ECC and ESC characteristics in the Taihu Lake Basin</title>
<p>The results are presented in <xref ref-type="table" rid="T1">
<bold>Table&#xa0;1</bold>
</xref>. The mean values of the carbon emission economic contribution coefficient (ECC) for the entire basin exhibited a downward trend, decreasing from 2.84 to 2.69 over the four time periods of 2005, 2010, 2015, and 2020. Shanghai consistently ranked first across all four periods, while Zhejiang Province surpassed Jiangsu Province to secure the second position. In Shanghai, the average ECC dropped to 5.37 in 2015 and then increased to 7.52 in 2020, indicating an overall growth trend. Conversely, Jiangsu Province experienced a continuous decline in the average ECC, dropping from 1.8 to 0.73. As for Zhejiang Province, the average ECC rose to 2.22 in 2015 and then declined to 1.86 in 2020, signifying an overall increase. Shanghai exhibited significantly higher ECC values compared to Jiangsu and Zhejiang, indicating superior economic efficiency and energy utilization during this period. Turning to the carbon ecological carrying coefficient (ESC), the average value for the four time periods decreased from 1.46 in 2005 to 1.25 in 2020, displaying a noticeable downward trend. Zhejiang Province ranked first, followed by Jiangsu Province, while Shanghai had the lowest average ESC. Shanghai&#x2019;s average ESC value steadily increased, while Jiangsu Province displayed a downward trend on an annual basis. In contrast, Zhejiang Province maintained a relatively stable average ESC value, suggesting a higher carbon sink capacity compared to Jiangsu Province and Shanghai.</p>
<table-wrap id="T1" position="float">
<label>Table&#xa0;1</label>
<caption>
<p>Average ECC and ESC values from 2005 to 2020 in the Taihu Lake Basin.</p>
</caption>
<table frame="hsides">
<thead>
<tr>
<th valign="top" align="left" rowspan="2"/>
<th valign="top" colspan="2" align="center">2005</th>
<th valign="top" colspan="2" align="center">2010</th>
<th valign="top" colspan="2" align="center">2015</th>
<th valign="top" colspan="2" align="center">2020</th>
</tr>
<tr>
<th valign="top" align="center">ECC</th>
<th valign="top" align="center">ESC</th>
<th valign="top" align="center">ECC</th>
<th valign="top" align="center">ESC</th>
<th valign="top" align="center">ECC</th>
<th valign="top" align="center">ESC</th>
<th valign="top" align="center">ECC</th>
<th valign="top" align="center">ESC</th>
</tr>
</thead>
<tbody>
<tr>
<td valign="top" align="left">Shanghai Mean</td>
<td valign="top" align="center">6.71</td>
<td valign="top" align="center">0.19</td>
<td valign="top" align="center">5.80</td>
<td valign="top" align="center">0.20</td>
<td valign="top" align="center">5.37</td>
<td valign="top" align="center">0.21</td>
<td valign="top" align="center">7.52</td>
<td valign="top" align="center">0.25</td>
</tr>
<tr>
<td valign="top" align="left">Jiangsu Mean</td>
<td valign="top" align="center">1.80</td>
<td valign="top" align="center">1.50</td>
<td valign="top" align="center">1.60</td>
<td valign="top" align="center">1.26</td>
<td valign="top" align="center">1.55</td>
<td valign="top" align="center">1.21</td>
<td valign="top" align="center">0.73</td>
<td valign="top" align="center">1.02</td>
</tr>
<tr>
<td valign="top" align="left">Zhejiang Mean</td>
<td valign="top" align="center">1.35</td>
<td valign="top" align="center">2.41</td>
<td valign="top" align="center">2.12</td>
<td valign="top" align="center">2.40</td>
<td valign="top" align="center">2.22</td>
<td valign="top" align="center">2.39</td>
<td valign="top" align="center">1.86</td>
<td valign="top" align="center">2.40</td>
</tr>
<tr>
<td valign="top" align="left">Basin Mean</td>
<td valign="top" align="center">2.84</td>
<td valign="top" align="center">1.46</td>
<td valign="top" align="center">2.76</td>
<td valign="top" align="center">1.35</td>
<td valign="top" align="center">2.66</td>
<td valign="top" align="center">1.33</td>
<td valign="top" align="center">2.69</td>
<td valign="top" align="center">1.25</td>
</tr>
</tbody>
</table>
</table-wrap>
<p>In order to provide a more comprehensive understanding of the differences observed in the ECC and ESC across different regions over time, the analysis focused on the time periods of 2005, 2010, 2015, and 2020, and nuclear density curves were plotted (<xref ref-type="fig" rid="f6">
<bold>Figures&#xa0;6</bold>
</xref>, <xref ref-type="fig" rid="f7">
<bold>7</bold>
</xref>). The ECC exhibited a clear unimodal pattern in all four periods, with the majority of values below 1. The degree of polarization was high in 2005, slightly decreased in 2010, and then increased again in 2020. Overall, there was a rightward shift from 2005 to 2020, indicating a downward trend in the basin&#x2019;s ECC. The ESCs showed significant elongation in all four periods, suggesting an increasing divergence in the ESCs and expanding spatial disparities in ecological carrying capacity within the watershed. Most ESC values for the four time periods were above 1, indicating a right-skewed distribution and higher ESCs from 2005 to 2020. The curve for the period between 2010 and 2015 exhibited a bimodal pattern, with peaks around one and three. The first peak was notably higher than the second, suggesting a relatively low degree of polarization in ESCs during this period. The curve narrowed in 2020, indicating a higher degree of polarization in ESCs during this period. From 2015 to 2020, the nuclear density curve remained relatively stable, but the density of ESCs above 3 decreased significantly, indicating an overall decline in ESC. These findings illustrate that rapid social development has led to varying degrees of ecosystem damage attributable to increased human activity. This observation aligns with prior research results (<xref ref-type="bibr" rid="B15">Cui et&#xa0;al., 2018</xref>).</p>
<fig id="f6" position="float">
<label>Figure&#xa0;6</label>
<caption>
<p>ECC core density map for Taihu Lake basin.</p>
</caption>
<graphic mimetype="image" mime-subtype="tiff" xlink:href="fevo-11-1230919-g006.tif"/>
</fig>
<fig id="f7" position="float">
<label>Figure&#xa0;7</label>
<caption>
<p>ESC core density map for Taihu Lake basin.</p>
</caption>
<graphic mimetype="image" mime-subtype="tiff" xlink:href="fevo-11-1230919-g007.tif"/>
</fig>
</sec>
<sec id="s3_4">
<label>3.4</label>
<title>Carbon balance zoning in the Taihu Lake Basin</title>
<p>The carbon balance zones were identified for the years 2005, 2010, 2015, and 2020, and a comparative analysis was conducted based on administrative divisions. Through calculations of total carbon emissions, carbon emission intensity, economic contribution rate, and ecological carrying coefficient for each district and county, the basin was classified into four distinct areas: the carbon balance area, carbon intensity control area, carbon sink functional zone, and high-carbon optimization zone. The carbon balance area encompasses counties and cities with ECC &gt; 1 and ESC &gt; 1. These regions exhibit either low total carbon emissions or low carbon emissions per unit of GDP, high carbon absorption, and relatively limited ecological pressure. The carbon intensity control areas consist of counties and cities where ECC &gt; 1 and ESC&lt; 1. Despite their economic development, these districts and counties have relatively small carbon emissions per unit of GDP but face challenges due to insufficient ecosystem planning and construction, resulting in high overall carbon emissions. The carbon sink functional areas comprise districts and counties with low absorption and ecological carrying coefficients, characterized by ECC&lt; 1 and ESC &gt; 1. These regions experience high carbon emissions per unit of GDP and possess extensive economies, but their total carbon emissions remain low due to favorable ecological conditions. Lastly, the high carbon optimization areas include counties and cities with ECC&lt; 1 and ESC&lt; 1. These regions exhibit high carbon absorption and low ecological pressure; however, they face challenges of relatively large total carbon emissions or high carbon emissions per unit of GDP, coupled with lower carbon absorption. The findings are presented in <xref ref-type="fig" rid="f8">
<bold>Figure&#xa0;8</bold>
</xref>.</p>
<fig id="f8" position="float">
<label>Figure&#xa0;8</label>
<caption>
<p>Regional map showing the carbon balance in the Taihu Lake Basin in <bold>(A)</bold> 2005, <bold>(B)</bold> 2010, <bold>(C)</bold> 2015, and <bold>(D)</bold> 2020.</p>
</caption>
<graphic mimetype="image" mime-subtype="tiff" xlink:href="fevo-11-1230919-g008.tif"/>
</fig>
<p>From a basin-wide perspective, the spatial characteristics reveal that the eastern and northern areas, primarily Shanghai, exhibit high carbon emission intensity but low carbon absorption intensity. Improving carbon reduction technologies in the region is the most important. There are two types of areas: high-carbon optimization and carbon intensity control. The western and southern areas, on the other hand, display low carbon emission intensity and high carbon absorption intensity. Additionally, there are two types of areas: carbon sink function and carbon balance. Over the 15-year period from 2005 to 2020, the number of carbon balance areas, where ECC&gt;1 and ESC&gt;1, decreased from 3 in 2005 to 1 in 2020, constituting only 1.59% of the total area. Compared to other regions, these areas not only demonstrate high carbon emission economic efficiency but also exhibit high carbon offset rates. The number of carbon intensity control areas, with ECC&gt;1 and ESC&lt;1, decreased to 15 in 2020, accounting for 23.81% of the total area. Most of these areas consist of municipal districts in various cities with relatively developed economies and high carbon intensity. Despite their greater economic contributions, these regions had relatively low ecological carrying coefficients, indicating a lack of harmony between economic development and ecological sustainability. The number of carbon sink functional areas, with ECC&lt;1 and ESC&gt;1, decreased from 30 in 2005 to 23 in 2020, accounting for 36.51% of the total area. These areas exhibit relatively poor economic efficiency and small economic contribution coefficients. However, they have extensive crop planting areas, abundant forest resources, high carbon absorption, and higher carbon compensation rates compared to other regions. The number of high carbon-optimized areas, where ECC&lt;1 and ESC&lt;1, increased from 13 in 2005 to 24 in 2020, comprising 38.10% of the total area. These areas demonstrate low economic efficiency, relatively limited ecological carrying capacities, and carbon sink capacities significantly lower than the carbon emissions resulting from human activities.</p>
</sec>
<sec id="s3_5">
<label>3.5</label>
<title>Analysis of ecological and economic factors influencing carbon balance based on MGWR</title>
<p>The MGWR model utilizes the modified AICc as its criterion for bandwidth selection. The bandwidth in this model is defined as the number of sample points involved in the regression, thereby influencing the regression coefficients. In this study, the bandwidth unit is determined by the number of districts, indicating the level of influence for a specific variable. To derive meaningful calculation outcomes, the model incorporates various indicators include population density, per capita GDP, construction land area, cultivated land area, forest area, grassland area, water area, and others (<xref ref-type="bibr" rid="B10">Chikaraishi et&#xa0;al., 2015</xref>; <xref ref-type="bibr" rid="B50">Shahbaz et&#xa0;al., 2016</xref>).The VIFs of the explanatory variables are all less than 10, and there is no multicollinearity. The obtained results reveal R<sup>2</sup> and adjusted R<sup>2</sup> values of 0.934 and 0.907, respectively, indicating a substantial fit of the MGWR model to the actual circumstances (<xref ref-type="table" rid="T2">
<bold>Table&#xa0;2</bold>
</xref>).</p>
<table-wrap id="T2" position="float">
<label>Table&#xa0;2</label>
<caption>
<p>Statistical description of regression coefficients in the MGWR model.</p>
</caption>
<table frame="hsides">
<thead>
<tr>
<th valign="top" colspan="2" align="center">Variable</th>
<th valign="top" align="center">Mean</th>
<th valign="top" align="center">STD</th>
<th valign="top" align="center">Min</th>
<th valign="top" align="center">Median</th>
<th valign="top" align="center">Max</th>
</tr>
</thead>
<tbody>
<tr>
<td valign="top" align="center">Intercept</td>
<td valign="top" align="center"/>
<td valign="top" align="center">-0.123</td>
<td valign="top" align="center">0.096</td>
<td valign="top" align="center">-0.224</td>
<td valign="top" align="center">-0.160</td>
<td valign="top" align="center">0.051</td>
</tr>
<tr>
<td valign="top" align="center">Population density</td>
<td valign="top" align="center">(X1)</td>
<td valign="top" align="center">0.020</td>
<td valign="top" align="center">0.050</td>
<td valign="top" align="center">-0.097</td>
<td valign="top" align="center">0.045</td>
<td valign="top" align="center">0.068</td>
</tr>
<tr>
<td valign="top" align="center">Per GDP</td>
<td valign="top" align="center">(X2)</td>
<td valign="top" align="center">-0.007</td>
<td valign="top" align="center">0.023</td>
<td valign="top" align="center">-0.036</td>
<td valign="top" align="center">-0.012</td>
<td valign="top" align="center">0.035</td>
</tr>
<tr>
<td valign="top" align="center">Impervious</td>
<td valign="top" align="center">(X3)</td>
<td valign="top" align="center">0.696</td>
<td valign="top" align="center">0.115</td>
<td valign="top" align="center">0.537</td>
<td valign="top" align="center">0.661</td>
<td valign="top" align="center">0.887</td>
</tr>
<tr>
<td valign="top" align="center">Cropland</td>
<td valign="top" align="center">(X4)</td>
<td valign="top" align="center">0.190</td>
<td valign="top" align="center">0.111</td>
<td valign="top" align="center">0.052</td>
<td valign="top" align="center">0.162</td>
<td valign="top" align="center">0.351</td>
</tr>
<tr>
<td valign="top" align="center">Forest</td>
<td valign="top" align="center">(X5)</td>
<td valign="top" align="center">-0.302</td>
<td valign="top" align="center">0.328</td>
<td valign="top" align="center">-0.895</td>
<td valign="top" align="center">-0.066</td>
<td valign="top" align="center">-0.016</td>
</tr>
<tr>
<td valign="top" align="center">Grassland</td>
<td valign="top" align="center">(X6)</td>
<td valign="top" align="center">0.139</td>
<td valign="top" align="center">0.068</td>
<td valign="top" align="center">0.064</td>
<td valign="top" align="center">0.112</td>
<td valign="top" align="center">0.257</td>
</tr>
<tr>
<td valign="top" align="center">Water</td>
<td valign="top" align="center">(X7)</td>
<td valign="top" align="center">0.076</td>
<td valign="top" align="center">0.007</td>
<td valign="top" align="center">0.062</td>
<td valign="top" align="center">0.078</td>
<td valign="top" align="center">0.086</td>
</tr>
</tbody>
</table>
</table-wrap>
<p>In general, the regression coefficient for urban construction land ranges from 0.537 to 0.887, demonstrating a positive correlation in various regions. The mean regression coefficient of 0.696 reveals a notable impact on the elevation of carbon emission intensity, suggesting that regions characterized by urban construction land tend to produce heightened levels of carbon emissions (refer to <xref ref-type="fig" rid="f9">
<bold>Figure&#xa0;9A</bold>
</xref>). The presence of compact urban construction land contributes to the mitigation of urban carbon emissions. Analogous findings are supported by <xref ref-type="bibr" rid="B43">Onafowora and Owoye (2014)</xref>. Notably, the cities in Shanghai have experienced considerable urbanization, resulting in a distinct spatial differentiation pattern where high-emission areas are predominantly situated in the eastern region. Conversely, the carbon emission intensity in the southwestern part of the watershed, which is less impacted by urban construction, remains relatively low compared to the rest of the watershed. Specifically, the presence of urban construction areas exerts a substantial impact on carbon emissions in the eastern region, where Shanghai is located, contributing to higher carbon emission intensity in this area relative to the remainder of the watershed.</p>
<fig id="f9" position="float">
<label>Figure&#xa0;9</label>
<caption>
<p>Spatial distribution pattern of MGWR regression coefficients. <bold>(A)</bold> Impervious, <bold>(B)</bold> Forest, <bold>(C)</bold> Population density, <bold>(D)</bold> Per GDP, <bold>(E)</bold> Cropland, <bold>(F)</bold> Grassland, <bold>(G)</bold> Water.</p>
</caption>
<graphic mimetype="image" mime-subtype="tiff" xlink:href="fevo-11-1230919-g009.tif"/>
</fig>
<p>The regression coefficients associated with forest area in the Taihu Lake Basin exhibited a range of -0.016 to -0.895, indicating negative values across various spatial ranges (<xref ref-type="fig" rid="f9">
<bold>Figure&#xa0;9B</bold>
</xref>). The average regression coefficient of -0.302 significantly contributes to an increase in carbon absorption intensity. These findings suggest that a larger forest area corresponds to a higher carbon absorption intensity (<xref ref-type="bibr" rid="B52">Tang et&#xa0;al., 2023</xref>). Forest ecosystems have the function of fixing carbon and storing carbon. The positive impact of forests on carbon absorption intensity reveals a spatial differentiation pattern, characterized by higher values in the western regions and lower values in the eastern regions. In the Taihu Lake Basin, the western areas, primarily governed by Jiangsu and Zhejiang, feature abundant low mountains, hills, dense vegetation, larger forest areas, and a high carbon absorption intensity, making them significant contributors to carbon absorption. Conversely, the eastern part of the watershed, which is dominated by major cities such as Shanghai, exhibits lower forest coverage and the lowest carbon sequestration intensity.</p>
<p>The regression coefficients for population density across distinct regions within the basin exhibit a range from -0.097 to 0.068, indicative of varied impact outcomes. The average regression coefficient, standing at 0.020, contributes to an overarching escalation in carbon emission intensity across the basin, as illustrated in <xref ref-type="fig" rid="f9">
<bold>Figure&#xa0;9C</bold>
</xref>. More specifically, in the northeastern watershed predominantly under the jurisdiction of Shanghai, the regression coefficient associated with population density amplifies the overall carbon emission intensity. In contrast, within the southwestern segment of the watershed, primarily governed by Zhejiang Province, the regression coefficient linked to population density significantly influences carbon absorption intensity, resulting in a positive effect. This observation aligns with the findings reported by <xref ref-type="bibr" rid="B46">Qin et&#xa0;al. (2019)</xref>.</p>
<p>The regression coefficients for per capita GDP, ranging from -0.036 to 0.035, demonstrate diverse effects on carbon emission intensity and carbon absorption intensity in different regions. The influence of economic development on carbon emissions exhibits a non-linear pattern, aligning with findings from prior research (<xref ref-type="bibr" rid="B45">Poumanyvong and Kaneko, 2010</xref>). The average regression coefficient of -0.007 enhances the carbon absorption intensity, as depicted in <xref ref-type="fig" rid="f9">
<bold>Figure&#xa0;9D</bold>
</xref>. Notably, the areas within the watershed experiencing the most substantial increase in carbon absorption, according to the regression coefficient for per capita GDP, are primarily located in the southeast, encompassing Shanghai and Zhejiang Province. This suggests that these regions, characterized by a combination of technological innovation and economic development, optimize their industrial growth, aligning with the findings of <xref ref-type="bibr" rid="B13">Coondoo and Dinda (2008)</xref>. Furthermore, the intensity of carbon emissions has progressively decreased, while the intensity of carbon absorption has gradually increased. In the northwestern part of the basin, primarily represented by Jiangsu Province, the regression coefficient of per capita GDP amplifies the carbon emission intensity, reflecting a slightly lower level of economic development compared to eastern Shanghai in this specific region.</p>
<p>The regression coefficient for cultivated land area ranges from 0.052 to 0.351, while the plot regression coefficient for grassland area ranges from 0.064 to 0.257. These coefficients exhibit positive values across different spatial ranges, with average regression coefficients of 0.190 and 0.139, respectively. The slight enhancement in these coefficients suggests a relatively similar distribution of influence (<xref ref-type="fig" rid="f9">
<bold>Figures&#xa0;9E, F</bold>
</xref>). Within the watershed, areas experiencing the most significant enhancement in carbon absorption, attributed to the cultivated land area coefficient and the grassland area coefficient, are primarily situated in the eastern part of the watershed, dominated by Shanghai. On the contrary, the western segment of the watershed, comprising Jiangsu and Zhejiang Provinces, exhibits a notable rise in carbon emissions concerning the coefficients of cultivated land area and grassland area. The extensive exploitation of arable land is identified as a factor contributing to the escalation in carbon emissions (<xref ref-type="bibr" rid="B36">Luo et&#xa0;al., 2020</xref>).</p>
<p>The regression coefficient for water area ranges from 0.062 to 0.086, consistently exhibiting positive values across all regions, and yielding an average regression coefficient of 0.076. This positive coefficient is indicative of its role in augmenting carbon emissions, as depicted in <xref ref-type="fig" rid="f9">
<bold>Figure&#xa0;9G</bold>
</xref>. Within the watershed, noteworthy amplification in carbon absorption, attributed to the water area coefficient, is predominantly observed in the northern segment between the Yangtze River and Taihu Lake. These areas delineate a ring-like structure, with the intensity of carbon emissions impact diminishing progressively in outward spatial progression. Notably, the water area coefficient exerts the weakest effect on carbon emissions in the eastern part of the watershed, dominated by Shanghai.</p>
</sec>
</sec>
<sec id="s4" sec-type="conclusions">
<label>4</label>
<title>Conclusions</title>
<p>From 2005 to 2020, the cumulative carbon emissions in the Taihu Lake Basin witnessed an annual upswing, reaching 523.2451 million tons. Throughout this timeframe, the total carbon emissions consistently exceeded the overall carbon absorption. Districts and counties within the Taihu Lake Basin manifested divergent spatial attributes regarding carbon emissions and absorption.</p>
<p>The carbon equilibrium delineation in the Taihu Lake Basin is intricately linked to the socio-economic scale of each unit. The eastern and northern sectors of the basin, centered around Shanghai, predominantly constitute zones marked by high-carbon optimization and carbon intensity control. These regions exhibit elevated carbon emission intensity coupled with diminished carbon absorption intensity.</p>
<p>In the Taihu Lake Basin, urbanized areas emerge as the primary contributors to carbon emissions, while forested areas play a pivotal role in carbon absorption. Both population size and density exhibit robust positive correlations with CO<sub>2</sub> emission levels. Larger population sizes correlate with heightened energy consumption and increased CO<sub>2</sub> emissions. Per capita GDP, forest area, arable land area, grassland area, and water area are pivotal determinants influencing carbon absorption within the basin.</p>
</sec>
<sec id="s5" sec-type="data-availability">
<title>Data availability statement</title>
<p>The raw data supporting the conclusions of this article will be made available by the authors, without undue reservation.</p>
</sec>
<sec id="s6" sec-type="author-contributions">
<title>Author contributions</title>
<p>YzW: conceptualization, software, validation, writing&#x2014;original draft preparation, review and editing. YxW: formal analysis, data curation, writing&#x2014;original draft preparation, project administration. XD: validation, visualization, supervision, funding acquisition. All authors contributed to the article and approved the submitted version.</p>
</sec>
</body>
<back>
<sec id="s7" sec-type="funding-information">
<title>Funding</title>
<p>The author(s) declare that no financial support was received for the research, authorship, and/or publication of this article.</p>
</sec>
<ack>
<title>Acknowledgments</title>
<p>We would like to acknowledge the reviewers for their helpful comments on this paper.</p>
</ack>
<sec id="s8" sec-type="COI-statement">
<title>Conflict of interest</title>
<p>The authors declare that the research was conducted in the absence of any commercial or financial relationships that could be construed as a potential conflict of interest.</p>
</sec>
<sec id="s9" sec-type="disclaimer">
<title>Publisher&#x2019;s note</title>
<p>All claims expressed in this article are solely those of the authors and do not necessarily represent those of their affiliated organizations, or those of the publisher, the editors and the reviewers. Any product that may be evaluated in this article, or claim that may be made by its manufacturer, is not guaranteed or endorsed by the publisher.</p>
</sec>
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