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<front>
<journal-meta>
<journal-id journal-id-type="publisher-id">Front. Sustain. Food Syst.</journal-id>
<journal-title>Frontiers in Sustainable Food Systems</journal-title>
<abbrev-journal-title abbrev-type="pubmed">Front. Sustain. Food Syst.</abbrev-journal-title>
<issn pub-type="epub">2571-581X</issn>
<publisher>
<publisher-name>Frontiers Media S.A.</publisher-name>
</publisher>
</journal-meta>
<article-meta>
<article-id pub-id-type="doi">10.3389/fsufs.2025.1617727</article-id>
<article-categories>
<subj-group subj-group-type="heading">
<subject>Sustainable Food Systems</subject>
<subj-group>
<subject>Original Research</subject>
</subj-group>
</subj-group>
</article-categories>
<title-group>
<article-title>The evolutionary characteristics and driving factors of the coupling coordination degree of digital economy and cultivated land use efficiency in China</article-title>
</title-group>
<contrib-group>
<contrib contrib-type="author" equal-contrib="yes">
<name><surname>Li</surname> <given-names>Yanwei</given-names></name>
<xref ref-type="aff" rid="aff1"><sup>1</sup></xref>
<xref rid="fn00001" ref-type="author-notes"><sup>&#x2020;</sup></xref>
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<contrib contrib-type="author" equal-contrib="yes">
<name><surname>Ma</surname> <given-names>Wenjie</given-names></name>
<xref ref-type="aff" rid="aff2"><sup>2</sup></xref>
<xref rid="fn00001" ref-type="author-notes"><sup>&#x2020;</sup></xref>
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<contrib contrib-type="author">
<name><surname>Li</surname> <given-names>Yetong</given-names></name>
<xref ref-type="aff" rid="aff2"><sup>2</sup></xref>
</contrib>
<contrib contrib-type="author">
<name><surname>Luo</surname> <given-names>Liang</given-names></name>
<xref ref-type="aff" rid="aff2"><sup>2</sup></xref>
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<contrib contrib-type="author">
<name><surname>Pan</surname> <given-names>Yongpeng</given-names></name>
<xref ref-type="aff" rid="aff3"><sup>3</sup></xref>
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<contrib contrib-type="author" corresp="yes">
<name><surname>Wei</surname> <given-names>Jie</given-names></name>
<xref ref-type="aff" rid="aff2"><sup>2</sup></xref>
<xref ref-type="corresp" rid="c001"><sup>&#x002A;</sup></xref>
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<contrib contrib-type="author" corresp="yes">
<name><surname>Cui</surname> <given-names>Yong</given-names></name>
<xref ref-type="aff" rid="aff4"><sup>4</sup></xref>
<xref ref-type="corresp" rid="c002"><sup>&#x002A;</sup></xref>
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<aff id="aff1"><sup>1</sup><institution>Human Resources and Social Security Bureau of Gangcheng District</institution>, <addr-line>Shandong, Jinan</addr-line>, <country>China</country></aff>
<aff id="aff2"><sup>2</sup><institution>College of Agriculture, Guangxi University</institution>, <addr-line>Nanning</addr-line>, <country>China</country></aff>
<aff id="aff3"><sup>3</sup><institution>Fruit Production Technical Guidance Station, Guangxi</institution>, <addr-line>Baise</addr-line>, <country>China</country></aff>
<aff id="aff4"><sup>4</sup><institution>College of Smart Human Settlements Industry, Guangxi Arts University</institution>, <addr-line>Nanning</addr-line>, <country>China</country></aff>
<author-notes>
<fn fn-type="edited-by" id="fn0004">
<p>Edited by: Sukoluhle Mazwane, University of Mpumalanga, South Africa</p>
</fn>
<fn fn-type="edited-by" id="fn0005">
<p>Reviewed by: Yunxian Yan, Jilin Agriculture University, China</p>
<p>Yifan Tang, Hunan Agricultural University, China</p>
</fn>
<corresp id="c001">&#x002A;Correspondence: Jie Wei, <email>jiewei@gxu.edu.cn</email></corresp>
<corresp id="c002">Yong Cui, <email>20200114@gxau.edu.cn</email></corresp>
<fn id="fn00001" fn-type="equal"><p><sup>&#x2020;</sup>These authors share first authorship</p></fn>
</author-notes>
<pub-date pub-type="epub">
<day>23</day>
<month>07</month>
<year>2025</year>
</pub-date>
<pub-date pub-type="collection">
<year>2025</year>
</pub-date>
<volume>9</volume>
<elocation-id>1617727</elocation-id>
<history>
<date date-type="received">
<day>24</day>
<month>04</month>
<year>2025</year>
</date>
<date date-type="accepted">
<day>01</day>
<month>07</month>
<year>2025</year>
</date>
</history>
<permissions>
<copyright-statement>Copyright &#x00A9; 2025 Li, Ma, Li, Luo, Pan, Wei and Cui.</copyright-statement>
<copyright-year>2025</copyright-year>
<copyright-holder>Li, Ma, Li, Luo, Pan, Wei and Cui</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 coupled and coordinated interaction between digital economy and cultivated land use efficiency (CLUE) is of great practical significance for guaranteeing national food security. Therefore, this study constructed the evaluation index system from two aspects of digital economy and CLUE, and used the coupling coordination degree (CCD) model to measure the level of their coordination and interaction, and then analyzed the spatial and temporal evolution of the CCD. At the same time, the Tobit model is introduced to explore the driving factors and make recommendations accordingly. The study shows that: (1) Both the CLUE and the digital economy show an upward trend during the study period, but there are obvious spatial differences, and the development level of CLUE is better than that of the digital economy. (2) The CCD has steadily risen, regional differences have been narrowing, and the overall level has risen from mild disorder to benign coordination over the study period. Spatially, high value areas are mainly clustered in the eastern region and part of the central region. (3) The CCD has the stability of maintaining the original level state, and the dynamic evolution is a gradual process. There is a positive synergy effect when the level of neighboring regions is the same as its own level. (4) The Tobit model shows that economic, technical innovation and urbanization promote the CCD, while the urban&#x2013;rural development gap and industrial structure inhibit the CCD.</p>
</abstract>
<kwd-group>
<kwd>digital economy</kwd>
<kwd>cultivated land use efficiency</kwd>
<kwd>coupling coordination degree model</kwd>
<kwd>driving factors</kwd>
<kwd>spatial differences</kwd>
<kwd>spatial autocorrelation</kwd>
</kwd-group>
<counts>
<fig-count count="7"/>
<table-count count="9"/>
<equation-count count="22"/>
<ref-count count="48"/>
<page-count count="15"/>
<word-count count="10552"/>
</counts>
<custom-meta-wrap>
<custom-meta>
<meta-name>section-at-acceptance</meta-name>
<meta-value>Agricultural and Food Economics</meta-value>
</custom-meta>
</custom-meta-wrap>
</article-meta>
</front>
<body>
<sec sec-type="intro" id="sec1">
<label>1</label>
<title>Introduction</title>
<p>According to the <italic>Global Report on Food Crises</italic>, over 280 million people worldwide experienced severe food insecurity in 2023 (<xref ref-type="bibr" rid="ref32">World Food Programme, 2024</xref>), influenced by factors such as international political instability and public health crises. The urgency of addressing food security has intensified, given its direct association with national stability and socioeconomic development. Cultivated land represents the essential natural basis for ensuring a nation&#x2019;s food security. Although China supports approximately 22% of the world&#x2019;s population, its cultivated land accounts for only 7.8% of the global total. The contradiction of &#x201C;more people, less land&#x201D; is becoming increasingly prominent. Traditional production models that depend heavily on excessive agricultural inputs and inefficient labor practices have contributed to environmental degradation, including soil pollution (<xref ref-type="bibr" rid="ref38">Yang et al., 2024</xref>). These challenges present significant barriers to the sustainable use of cultivated land, thereby jeopardizing national food security and impeding high-quality economic and social development. In this context, a significant issue today is how to enhance agricultural productivity with scarce land resources, decrease the escalation of conflict among people and land, and promote environmental monitoring while improving cultivated land use efficiency (CLUE).</p>
<p>Since the Chinese government first proposed the goal of &#x201C;strengthening and expanding the digital economy&#x201D; in 2016, efforts have been made to integrate digital technologies into agricultural land management through a range of policy initiatives and infrastructure investments. These initiatives have created opportunities to enhance the efficiency of cultivated land use. By optimizing land resource allocation, supported by precise surveying and real-time monitoring technologies, intensive land use can be promoted while reducing resource waste and environmental degradation. However, the process of digital transformation still faces challenges, including regional disparities in development and inadequate infrastructure (<xref ref-type="bibr" rid="ref37">Xu et al., 2023</xref>). Therefore, establishing a framework for the coordinated development of the digital economy and CLUE is essential to ensuring food security, optimizing regional land resources, and achieving both ecological sustainability and agricultural modernization.</p>
<p>The remainder of this paper is structured as follows: Sections 2 and 3 review the existing literature and explain the theoretical mechanism underlying the coupling coordination between the digital economy and CLUE. Section 4 presents the data sources and research methodology. Section 5 analyzes the spatiotemporal evolution of the coupling coordination degree (CCD) and identifies its driving factors. Section 6 summarizes the main findings, offers policy recommendations, discusses research limitations, and outlines directions for future research.</p>
</sec>
<sec id="sec2">
<label>2</label>
<title>Literature review</title>
<sec id="sec3">
<label>2.1</label>
<title>Digital economy</title>
<p>The term &#x201C;digital economy&#x201D; refers to economic activities that generate communication and create value through digital technologies such as the Internet, cloud computing, and big data (<xref ref-type="bibr" rid="ref24">Miao, 2021</xref>). With the rapid advancement of digital technologies, the digital economy has gradually become a key driver of global economic growth. Current research primarily focuses on measuring the digital economy and examining its economic and societal impacts (<xref ref-type="bibr" rid="ref27">Subkhan et al., 2025</xref>; <xref ref-type="bibr" rid="ref42">Zhang et al., 2024</xref>; <xref ref-type="bibr" rid="ref14">Jiang and Sun, 2020</xref>). More recently, research has extended into the agricultural sector, seeking to uncover the underlying mechanisms through which the digital economy promotes agricultural development.</p>
<p>First, the digital economy utilizes technologies such as the Internet of Things (IoT) to convert relevant agricultural information into data, which is then integrated as a key production factor within agricultural systems (<xref ref-type="bibr" rid="ref10">Hua et al., 2024</xref>). This process strengthens traditional production factors and improves the efficiency of resource allocation, including labor, capital, land, and information. As a result, total factor productivity is enhanced, accelerating the digital transformation of agriculture (<xref ref-type="bibr" rid="ref13">Jia et al., 2025</xref>). Second, the digital economy has fostered innovations in industrial efficiency, introduced new business models, and optimized development pathways (<xref ref-type="bibr" rid="ref31">Wang et al., 2024</xref>). These advancements have transformed agricultural production and rural livelihoods, continuously promoting the shift from extensive to high-quality agricultural development.</p>
</sec>
<sec id="sec4">
<label>2.2</label>
<title>Cultivated land use efficiency</title>
<p>Cultivated land use has long been a topic of significant academic interest, resulting in a substantial body of research. Common methods for calculating CLUE include Principal Component Analysis (PCA) (<xref ref-type="bibr" rid="ref33">Wu et al., 2024</xref>), Data Envelopment Analysis (DEA) (<xref ref-type="bibr" rid="ref36">Xiang et al., 2023</xref>), Stochastic Frontier Analysis (SFA) (<xref ref-type="bibr" rid="ref4">Chen et al., 2025</xref>), and Directional Distance Function (DDF) (<xref ref-type="bibr" rid="ref16">Khataza et al., 2019</xref>) models. More recently, researchers have begun to examine the negative impacts of diesel, herbicides, and fertilizers on cultivated land yields (<xref ref-type="bibr" rid="ref3">Chen et al., 2020</xref>; <xref ref-type="bibr" rid="ref45">Zhu et al., 2022</xref>). Consequently, some scholars have developed the Super-SBM model to incorporate these unexpected outputs, such as fertilizer non-point source pollution and carbon dioxide emissions (<xref ref-type="bibr" rid="ref43">Zhang et al., 2024</xref>; <xref ref-type="bibr" rid="ref25">Pei and Chen, 2024</xref>; <xref ref-type="bibr" rid="ref12">Huang et al., 2024</xref>). In analyzing the factors influencing CLUE, commonly used analytical methods include the Tobit model (<xref ref-type="bibr" rid="ref29">Tian et al., 2023</xref>), Spatial Durbin model (<xref ref-type="bibr" rid="ref21">Luo et al., 2024</xref>), and multiple linear regression model (<xref ref-type="bibr" rid="ref15">Kaiyong and Pengyan, 2013</xref>). The factors influencing CLUE can generally be classified into two levels: macro-level factors and micro-level factors. Micro-level factors include household income characteristics (<xref ref-type="bibr" rid="ref39">Yu et al., 2022</xref>), average years of education (<xref ref-type="bibr" rid="ref44">Zhang et al., 2025</xref>), and farmers land value (<xref ref-type="bibr" rid="ref40">Zhang et al., 2017</xref>). Macro-level factors include the level of economic development (<xref ref-type="bibr" rid="ref8">Gui et al., 2021</xref>), urbanization (<xref ref-type="bibr" rid="ref7">Fu and Xue, 2025</xref>), and the natural ecosystem (<xref ref-type="bibr" rid="ref22">Lyu et al., 2024</xref>). In addition, growing scholarly attention has been paid to the coupling relationship between cultivated land use intensity and economic development, as well as the correlation between cultivated land area and regional economic growth (<xref ref-type="bibr" rid="ref36">Xiang et al., 2023</xref>; <xref ref-type="bibr" rid="ref9">Han and Zhang, 2020</xref>).</p>
</sec>
<sec id="sec5">
<label>2.3</label>
<title>Research on the digital economy and cultivated land use efficiency</title>
<p>The impact of the digital economy on the allocation of land, capital, and labor resources has been widely studied. Existing research on its relationship with land use indicates that the digital economy, characterized by low cost and high penetration, can be integrated with traditional production factors such as land (<xref ref-type="bibr" rid="ref11">Huang and Huang, 2024</xref>). This integration helps mitigate land scarcity constraints and promotes the digital transformation of land use. Moreover, the rapid growth of the digital economy has influenced the scale, structure, and spatial patterns of land resources, thereby improving the efficiency of land resource allocation (<xref ref-type="bibr" rid="ref34">Wu et al., 2024</xref>).</p>
<p>Currently, scholars have conducted extensive research on the relationship between the digital economy and cultivated land use systems. By applying the Super-SBM model and entropy method to measure agricultural land use efficiency and digital economic development, respectively, and using the Tobit model to assess the impact of the digital economy, studies have found that digital development significantly enhances agricultural land utilization efficiency. Improvements in economic development, reductions in the urban&#x2013;rural income gap, and strengthened irrigation capacity have also been shown to promote land use efficiency (<xref ref-type="bibr" rid="ref18">Li et al., 2025</xref>). Additionally, methods such as multi-period difference-in-differences, triple difference models, and threshold models have been used to evaluate the effect of digital economy development on urban land green use efficiency. These studies confirm that the digital economy positively influences urban land use, mainly through technological integration and environmental innovation (<xref ref-type="bibr" rid="ref6">Fan et al., 2023</xref>). Despite this progress, existing literature still has limitations. While prior studies have discussed the impact of the digital economy on cultivated land use systems, relatively little attention has been given to the underlying impact mechanisms within cultivated land use ecosystems. Further exploration of these mechanisms would provide valuable scientific insights for promoting the effective integration of the digital economy and CLUE.</p>
<p>Therefore, drawing on panel data from 30 provinces in China spanning the period from 2014 to 2022, this study employs multiple analytical methods to examine the relationship between the digital economy and CLUE. Compared with the existing literature, the marginal contributions of this paper are threefold. First, it systematically clarifies the internal mechanisms underlying the coupling and coordination between China&#x2019;s digital economy and CLUE. Second, it applies coupling coordination models, Gini coefficients, Moran indices, and Markov chain analysis to quantitatively characterize the geospatial correlation and coupling relationship across regions. Third, it further investigates the driving factors that influence the interaction between the digital economy and CLUE.</p>
</sec>
</sec>
<sec id="sec6">
<label>3</label>
<title>Theoretical framework</title>
<p>The digital economy and CLUE function as independent systems while achieving synergistic evolution through circular interaction. As shown in <xref ref-type="fig" rid="fig1">Figure 1</xref>, the digital economy comprises three key components: digital infrastructure, digital industries, and digital innovation. It relies on advanced technologies such as cloud computing, artificial intelligence, and big data to transcend traditional industrial boundaries, deeply integrate the manufacturing, service, and information sectors, promote the development of the tertiary industry, accelerate the upgrading of traditionally extensive industries, reduce undesirable outputs, and improve ecological outcomes.</p>
<fig position="float" id="fig1">
<label>Figure 1</label>
<caption>
<p>Coordination mechanism framework between the digital economy and cultivated land use efficiency.</p>
</caption>
<graphic xlink:href="fsufs-09-1617727-g001.tif">
<alt-text content-type="machine-generated">Diagram depicting the coupling coordination system between the digital economy and cultivated land use efficiency. The digital economy includes digital infrastructure, industry, and innovation. Cultivated land use efficiency involves input, output, and unexpected output. Arrows illustrate the flow of resource allocation and industry structure towards cultivated land, and demand and green development back towards the digital economy.</alt-text>
</graphic>
</fig>
<p>In addition, the digital economy improves resource allocation efficiency, reduces land resource waste, and facilitates the integration of fragmented cultivated land into virtually contiguous digital farms. This process enables both economies of scale and precision management. In turn, improvements in CLUE contribute to the development of the digital economy. On one hand, enhanced land use efficiency creates new market demand, encouraging the digital industry to expand its service scope and fostering deeper segmentation within the agricultural digital service sector. On the other hand, more efficient farmland use promotes green development, supports the digital transformation of energy-intensive and polluting industries, improves resource utilization, accelerates technological innovation and factor upgrading, and advances sustainable development. These outcomes further stimulate digital economic growth and enhance its overall development level. The two systems will form a virtuous cycle of mutual promotion and development.</p>
</sec>
<sec id="sec7">
<label>4</label>
<title>Data sources and research methods</title>
<sec id="sec8">
<label>4.1</label>
<title>Data sources</title>
<p>The research sample for this study is data from 30 provinces (municipalities and autonomous areas) in mainland China between 2014 and 2022 (Taiwan, Hong Kong, Macau, and Tibet are not included in the study owing to data restrictions). The 30 provinces are categorized into three research regions: Eastern,<xref ref-type="fn" rid="fn0001"><sup>1</sup></xref> Central,<xref ref-type="fn" rid="fn0002"><sup>2</sup></xref> and Western<xref ref-type="fn" rid="fn0003"><sup>3</sup></xref> China. The sample data is derived mostly from the <italic>China Statistical Yearbook</italic>, <italic>China Environmental Yearbook</italic>, <italic>China Science and Technology Statistical Yearbook</italic>, and the <italic>National Economic and Social Development Statistical Yearbook</italic> (2015&#x2013;2023).</p>
</sec>
<sec id="sec9">
<label>4.2</label>
<title>Indicator system construction</title>
<sec id="sec10">
<label>4.2.1</label>
<title>Digital economy</title>
<p>An assessment system for the digital economy was created by following data availability and scientific rigor guidelines, using the earlier research framework and previous studies as references (<xref ref-type="bibr" rid="ref30">Wang et al., 2025</xref>; <xref ref-type="bibr" rid="ref17">Li et al., 2024</xref>). A total of 11 indicators were selected, which primarily reflect the overall level of digital development across regions and indirectly influence agricultural digitalization. The weights of each indicator were calculated using the entropy method, with details provided in <xref ref-type="table" rid="tab1">Table 1</xref>.</p>
<table-wrap position="float" id="tab1">
<label>Table 1</label>
<caption>
<p>Digital economy evaluation indicator system.</p>
</caption>
<table frame="hsides" rules="groups">
<thead>
<tr>
<th align="left" valign="top">Main index</th>
<th align="left" valign="top">Dimension</th>
<th align="left" valign="top">Indicators</th>
<th align="center" valign="top">Properties</th>
<th align="center" valign="top">Weight</th>
</tr>
</thead>
<tbody>
<tr>
<td align="left" valign="top" rowspan="11">Digital economy</td>
<td align="left" valign="top" rowspan="4">Digital infrastructure</td>
<td align="left" valign="top">Fiber optic line length</td>
<td align="center" valign="top">+</td>
<td align="center" valign="top">0.0616</td>
</tr>
<tr>
<td align="left" valign="top">Number of Internet broadband access ports</td>
<td align="center" valign="top">+</td>
<td align="center" valign="top">0.0591</td>
</tr>
<tr>
<td align="left" valign="top">Cell phone penetration rate</td>
<td align="center" valign="top">+</td>
<td align="center" valign="top">0.0294</td>
</tr>
<tr>
<td align="left" valign="top">Internet penetration rate</td>
<td align="center" valign="top">+</td>
<td align="center" valign="top">0.0252</td>
</tr>
<tr>
<td align="left" valign="top" rowspan="4">Digital industry</td>
<td align="left" valign="top">Software business revenue as a percentage of GDP</td>
<td align="center" valign="top">+</td>
<td align="center" valign="top">0.1503</td>
</tr>
<tr>
<td align="left" valign="top">Total telecommunication services</td>
<td align="center" valign="top">+</td>
<td align="center" valign="top">0.1342</td>
</tr>
<tr>
<td align="left" valign="top">E-commerce sales</td>
<td align="center" valign="top">+</td>
<td align="center" valign="top">0.1501</td>
</tr>
<tr>
<td align="left" valign="top">Number of websites per 100 enterprises</td>
<td align="center" valign="top">+</td>
<td align="center" valign="top">0.0127</td>
</tr>
<tr>
<td align="left" valign="top" rowspan="3">Digital innovation</td>
<td align="left" valign="top">Digital financial inclusion index</td>
<td align="center" valign="top">+</td>
<td align="center" valign="top">0.0294</td>
</tr>
<tr>
<td align="left" valign="top">Employment in information technology services</td>
<td align="center" valign="top">+</td>
<td align="center" valign="top">0.1360</td>
</tr>
<tr>
<td align="left" valign="top">Expenditure on R&#x0026;D institutions</td>
<td align="center" valign="top">+</td>
<td align="center" valign="top">0.2120</td>
</tr>
</tbody>
</table>
</table-wrap>
</sec>
<sec id="sec11">
<label>4.2.2</label>
<title>Cultivated land use efficiency</title>
<p>Drawing on existing research (<xref ref-type="bibr" rid="ref47">Zou et al., 2024</xref>; <xref ref-type="bibr" rid="ref23">Ma et al., 2024</xref>; <xref ref-type="bibr" rid="ref28">Tan et al., 2024</xref>), this study constructs an evaluation indicator system for CLUE, focusing on input, expected output, and unexpected output. <xref ref-type="table" rid="tab2">Table 2</xref> lists the 11 indicators that were chosen in total.</p>
<table-wrap position="float" id="tab2">
<label>Table 2</label>
<caption>
<p>Cultivated land use efficiency evaluation indicator system.</p>
</caption>
<table frame="hsides" rules="groups">
<thead>
<tr>
<th align="left" valign="top">Main index</th>
<th align="left" valign="top">Dimension</th>
<th align="left" valign="top">Indicators</th>
<th align="left" valign="top">Description of indicators</th>
</tr>
</thead>
<tbody>
<tr>
<td align="left" valign="top" rowspan="11">Cultivated land use efficiency</td>
<td align="left" valign="top" rowspan="8">Input</td>
<td align="left" valign="top">Land input</td>
<td align="left" valign="top">Total area under crop cultivation</td>
</tr>
<tr>
<td align="left" valign="top">Agricultural machinery input</td>
<td align="left" valign="top">Gross power of agricultural machinery</td>
</tr>
<tr>
<td align="left" valign="top">Fertilizer input</td>
<td align="left" valign="top">Fertilizer consumption</td>
</tr>
<tr>
<td align="left" valign="top">Pesticide input</td>
<td align="left" valign="top">Pesticide consumption</td>
</tr>
<tr>
<td align="left" valign="top">Irrigation input</td>
<td align="left" valign="top">Effective irrigated area</td>
</tr>
<tr>
<td align="left" valign="top">Labor input</td>
<td align="left" valign="top">Agricultural workers</td>
</tr>
<tr>
<td align="left" valign="top">Agricultural film input</td>
<td align="left" valign="top">Agricultural film usage</td>
</tr>
<tr>
<td align="left" valign="top">Electricity input</td>
<td align="left" valign="top">Rural electricity consumption</td>
</tr>
<tr>
<td align="left" valign="top" rowspan="2">Expected output</td>
<td align="left" valign="top">Economic output</td>
<td align="left" valign="top">Gross proceeds from agriculture</td>
</tr>
<tr>
<td align="left" valign="top">Social output</td>
<td align="left" valign="top">Total food output</td>
</tr>
<tr>
<td align="left" valign="top">Unexpected output</td>
<td align="left" valign="top">Carbon emission</td>
<td align="left" valign="top">Total carbon emissions from cultivated land</td>
</tr>
</tbody>
</table>
</table-wrap>
</sec>
</sec>
<sec id="sec12">
<label>4.3</label>
<title>Research methods</title>
<p>The relationship among the methods and models employed in this study is illustrated in <xref ref-type="fig" rid="fig2">Figure 2</xref>. First, the development levels of China&#x2019;s digital economy and CLUE were measured using the entropy method and the super-efficiency SBM model of unexpected output, respectively. Second, the CCD was calculated using the coupling coordination model based on the measured development levels. Third, Third, the Dagum Gini coefficient, spatial correlation test (Moran index), and Markov chain were applied to analyze regional disparities, assess spatial dependence, and predict transitions in coordination states. Finally, the Tobit model was used to examine the driving factors influencing the CCD.</p>
<fig position="float" id="fig2">
<label>Figure 2</label>
<caption>
<p>Research framework diagram.</p>
</caption>
<graphic xlink:href="fsufs-09-1617727-g002.tif">
<alt-text content-type="machine-generated">Flowchart showing the relationship between methods: Entropy Method and Super-Efficiency SBM Model lead to the Coupling Coordination Degree Model. This model connects to Dagum Gini Coefficient, Spatial Correlation Test, and Markov Chain Model, which further link to the Tobit Model.</alt-text>
</graphic>
</fig>
<sec id="sec13">
<label>4.3.1</label>
<title>Entropy method</title>
<p>The entropy technique circumvents the drawbacks of subjective weighing by using an objective methodology that determines weights based on the fluctuation in indicator data (<xref ref-type="bibr" rid="ref2">Chen, 2019</xref>). Entropy is the method tested in this work to provide weights to the digital economy&#x2019;s indicators and conduct a thorough evaluation of China&#x2019;s level of growth in this area. Main calculation stages as in <xref ref-type="disp-formula" rid="EQ1">Equations 1</xref>&#x2013;<xref ref-type="disp-formula" rid="EQ6">6</xref>:</p>
<p>The first step, the standardization of the raw data, the standardized data values for the positive indicators and negative indicators are as follows:</p>
<disp-formula id="EQ1">
<label>(1)</label>
<mml:math id="M1">
<mml:msub>
<mml:mi>x</mml:mi>
<mml:mrow>
<mml:mi mathvariant="italic">ij</mml:mi>
<mml:mo>&#x2032;</mml:mo>
</mml:mrow>
</mml:msub>
<mml:mo>=</mml:mo>
<mml:mfrac>
<mml:mrow>
<mml:msub>
<mml:mi>x</mml:mi>
<mml:mi mathvariant="italic">ij</mml:mi>
</mml:msub>
<mml:mo>&#x2212;</mml:mo>
<mml:mo>min</mml:mo>
<mml:mo stretchy="true">[</mml:mo>
<mml:msub>
<mml:mi>x</mml:mi>
<mml:mi mathvariant="italic">ij</mml:mi>
</mml:msub>
<mml:mo stretchy="true">]</mml:mo>
</mml:mrow>
<mml:mrow>
<mml:mo>max</mml:mo>
<mml:mo stretchy="true">[</mml:mo>
<mml:msub>
<mml:mi>x</mml:mi>
<mml:mi mathvariant="italic">ij</mml:mi>
</mml:msub>
<mml:mo stretchy="true">]</mml:mo>
<mml:mo>&#x2212;</mml:mo>
<mml:mo>min</mml:mo>
<mml:mo stretchy="true">[</mml:mo>
<mml:msub>
<mml:mi>x</mml:mi>
<mml:mi mathvariant="italic">ij</mml:mi>
</mml:msub>
<mml:mo stretchy="true">]</mml:mo>
</mml:mrow>
</mml:mfrac>
<mml:mo>,</mml:mo>
<mml:msub>
<mml:mi>x</mml:mi>
<mml:mrow>
<mml:mi mathvariant="italic">ij</mml:mi>
<mml:mo>&#x2032;</mml:mo>
</mml:mrow>
</mml:msub>
<mml:mo>=</mml:mo>
<mml:mfrac>
<mml:mrow>
<mml:mo>max</mml:mo>
<mml:mo stretchy="true">[</mml:mo>
<mml:msub>
<mml:mi>x</mml:mi>
<mml:mi mathvariant="italic">ij</mml:mi>
</mml:msub>
<mml:mo stretchy="true">]</mml:mo>
<mml:mo>&#x2212;</mml:mo>
<mml:msub>
<mml:mi>x</mml:mi>
<mml:mi mathvariant="italic">ij</mml:mi>
</mml:msub>
</mml:mrow>
<mml:mrow>
<mml:mo>max</mml:mo>
<mml:mo stretchy="true">[</mml:mo>
<mml:msub>
<mml:mi>x</mml:mi>
<mml:mi mathvariant="italic">ij</mml:mi>
</mml:msub>
<mml:mo stretchy="true">]</mml:mo>
<mml:mo>&#x2212;</mml:mo>
<mml:mo>min</mml:mo>
<mml:mo stretchy="true">[</mml:mo>
<mml:msub>
<mml:mi>x</mml:mi>
<mml:mi mathvariant="italic">ij</mml:mi>
</mml:msub>
<mml:mo stretchy="true">]</mml:mo>
</mml:mrow>
</mml:mfrac>
</mml:math>
</disp-formula>
<p>The second step, calculate the information entropy:</p>
<disp-formula id="EQ2">
<label>(2)</label>
<mml:math id="M2">
<mml:msub>
<mml:mi>P</mml:mi>
<mml:mi mathvariant="italic">ij</mml:mi>
</mml:msub>
<mml:mo>=</mml:mo>
<mml:mfrac>
<mml:msub>
<mml:mi>X</mml:mi>
<mml:mi mathvariant="italic">ij</mml:mi>
</mml:msub>
<mml:mrow>
<mml:munderover>
<mml:mo movablelimits="false">&#x2211;</mml:mo>
<mml:mrow>
<mml:mi>i</mml:mi>
<mml:mo>=</mml:mo>
<mml:mn>1</mml:mn>
</mml:mrow>
<mml:mi>n</mml:mi>
</mml:munderover>
<mml:mspace width="0.25em"/>
<mml:msub>
<mml:mi>X</mml:mi>
<mml:mi mathvariant="italic">ij</mml:mi>
</mml:msub>
</mml:mrow>
</mml:mfrac>
</mml:math>
</disp-formula>
<disp-formula id="EQ3">
<label>(3)</label>
<mml:math id="M3">
<mml:msub>
<mml:mi>e</mml:mi>
<mml:mi>j</mml:mi>
</mml:msub>
<mml:mo>=</mml:mo>
<mml:mo>&#x2212;</mml:mo>
<mml:mi>k</mml:mi>
<mml:munderover>
<mml:mo movablelimits="false">&#x2211;</mml:mo>
<mml:mrow>
<mml:mi>i</mml:mi>
<mml:mo>=</mml:mo>
<mml:mn>1</mml:mn>
</mml:mrow>
<mml:mi>n</mml:mi>
</mml:munderover>
<mml:mspace width="0.25em"/>
<mml:msub>
<mml:mi>P</mml:mi>
<mml:mi mathvariant="italic">ij</mml:mi>
</mml:msub>
<mml:mo>ln</mml:mo>
<mml:msub>
<mml:mi>P</mml:mi>
<mml:mi mathvariant="italic">ij</mml:mi>
</mml:msub>
</mml:math>
</disp-formula>
<p>The third step, calculate the weight of each indicator:</p>
<disp-formula id="EQ4">
<label>(4)</label>
<mml:math id="M4">
<mml:msub>
<mml:mi>d</mml:mi>
<mml:mi>j</mml:mi>
</mml:msub>
<mml:mo>=</mml:mo>
<mml:mn>1</mml:mn>
<mml:mo>&#x2212;</mml:mo>
<mml:msub>
<mml:mi>e</mml:mi>
<mml:mi>j</mml:mi>
</mml:msub>
</mml:math>
</disp-formula>
<disp-formula id="EQ5">
<label>(5)</label>
<mml:math id="M5">
<mml:msub>
<mml:mi>&#x03C9;</mml:mi>
<mml:mi>j</mml:mi>
</mml:msub>
<mml:mo>=</mml:mo>
<mml:mfrac>
<mml:msub>
<mml:mi>d</mml:mi>
<mml:mi>j</mml:mi>
</mml:msub>
<mml:mrow>
<mml:munderover>
<mml:mo movablelimits="false">&#x2211;</mml:mo>
<mml:mrow>
<mml:mi>j</mml:mi>
<mml:mo>=</mml:mo>
<mml:mn>1</mml:mn>
</mml:mrow>
<mml:mi>m</mml:mi>
</mml:munderover>
<mml:mspace width="0.25em"/>
<mml:msub>
<mml:mi>d</mml:mi>
<mml:mi>j</mml:mi>
</mml:msub>
</mml:mrow>
</mml:mfrac>
</mml:math>
</disp-formula>
<p>The fourth step, calculate the Digital Economy Development Index:</p>
<disp-formula id="EQ6">
<label>(6)</label>
<mml:math id="M6">
<mml:msub>
<mml:mi>D</mml:mi>
<mml:mi>j</mml:mi>
</mml:msub>
<mml:mo>=</mml:mo>
<mml:munderover>
<mml:mo movablelimits="false">&#x2211;</mml:mo>
<mml:mrow>
<mml:mi>j</mml:mi>
<mml:mo>=</mml:mo>
<mml:mn>1</mml:mn>
</mml:mrow>
<mml:mi>m</mml:mi>
</mml:munderover>
<mml:mspace width="0.25em"/>
<mml:msub>
<mml:mi>w</mml:mi>
<mml:mi>j</mml:mi>
</mml:msub>
<mml:mo>&#x00D7;</mml:mo>
<mml:msub>
<mml:mi>p</mml:mi>
<mml:mi mathvariant="italic">ij</mml:mi>
</mml:msub>
</mml:math>
</disp-formula>
</sec>
<sec id="sec14">
<label>4.3.2</label>
<title>Super-efficiency SBM model</title>
<p>This investigation used the super-efficiency SBM model. The efficient decision-making units are further broken down and ranked, and unexpected outcomes are included in the efficiency level assessment, improving the precision and applicability of efficiency assessments (<xref ref-type="bibr" rid="ref35">Wu and Wen, 2025</xref>). The expression is as follows:</p>
<disp-formula id="E1">
<mml:math id="M7">
<mml:msup>
<mml:mi>&#x03C1;</mml:mi>
<mml:mo>&#x2217;</mml:mo>
</mml:msup>
<mml:mo>=</mml:mo>
<mml:mo>min</mml:mo>
<mml:mfrac>
<mml:mrow>
<mml:mn>1</mml:mn>
<mml:mo>&#x2212;</mml:mo>
<mml:mfrac>
<mml:mn>1</mml:mn>
<mml:mi>m</mml:mi>
</mml:mfrac>
<mml:munderover>
<mml:mo movablelimits="false">&#x2211;</mml:mo>
<mml:mrow>
<mml:mi>i</mml:mi>
<mml:mo>=</mml:mo>
<mml:mn>1</mml:mn>
</mml:mrow>
<mml:mi>m</mml:mi>
</mml:munderover>
<mml:mspace width="0.25em"/>
<mml:mfrac>
<mml:msubsup>
<mml:mi>S</mml:mi>
<mml:mi>i</mml:mi>
<mml:mo>&#x2212;</mml:mo>
</mml:msubsup>
<mml:msub>
<mml:mi>x</mml:mi>
<mml:mi mathvariant="italic">ik</mml:mi>
</mml:msub>
</mml:mfrac>
</mml:mrow>
<mml:mrow>
<mml:mn>1</mml:mn>
<mml:mo>+</mml:mo>
<mml:mfrac>
<mml:mn>1</mml:mn>
<mml:mrow>
<mml:msub>
<mml:mi>p</mml:mi>
<mml:mn>1</mml:mn>
</mml:msub>
<mml:mo>+</mml:mo>
<mml:msub>
<mml:mi>p</mml:mi>
<mml:mn>2</mml:mn>
</mml:msub>
</mml:mrow>
</mml:mfrac>
<mml:mo stretchy="true">(</mml:mo>
<mml:munderover>
<mml:mo movablelimits="false">&#x2211;</mml:mo>
<mml:mrow>
<mml:mi>r</mml:mi>
<mml:mo>=</mml:mo>
<mml:mn>1</mml:mn>
</mml:mrow>
<mml:msub>
<mml:mi>P</mml:mi>
<mml:mn>1</mml:mn>
</mml:msub>
</mml:munderover>
<mml:mspace width="0.25em"/>
<mml:mfrac>
<mml:msubsup>
<mml:mi>S</mml:mi>
<mml:mi>r</mml:mi>
<mml:mo>+</mml:mo>
</mml:msubsup>
<mml:msub>
<mml:mi>y</mml:mi>
<mml:mi mathvariant="italic">rk</mml:mi>
</mml:msub>
</mml:mfrac>
<mml:mo>+</mml:mo>
<mml:munderover>
<mml:mo movablelimits="false">&#x2211;</mml:mo>
<mml:mrow>
<mml:mi>h</mml:mi>
<mml:mo>=</mml:mo>
<mml:mn>1</mml:mn>
</mml:mrow>
<mml:msub>
<mml:mi>P</mml:mi>
<mml:mn>2</mml:mn>
</mml:msub>
</mml:munderover>
<mml:mspace width="0.25em"/>
<mml:mfrac>
<mml:msubsup>
<mml:mi>S</mml:mi>
<mml:mi>h</mml:mi>
<mml:mrow>
<mml:mi>b</mml:mi>
<mml:mo>&#x2212;</mml:mo>
</mml:mrow>
</mml:msubsup>
<mml:msub>
<mml:mi>b</mml:mi>
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</mml:msub>
</mml:mfrac>
<mml:mo stretchy="true">)</mml:mo>
</mml:mrow>
</mml:mfrac>
<mml:mspace width="0.25em"/>
</mml:math>
</disp-formula><disp-formula id="EQ7">
<label>(7)</label>
<mml:math id="M8">
<mml:mi>s</mml:mi>
<mml:mo>.</mml:mo>
<mml:mi>t</mml:mi>
<mml:mo>.</mml:mo>
<mml:mo stretchy="true">{</mml:mo>
<mml:mtable displaystyle="true">
<mml:mtr>
<mml:mtd>
<mml:msub>
<mml:mi>x</mml:mi>
<mml:mi>k</mml:mi>
</mml:msub>
<mml:mo>=</mml:mo>
<mml:mi mathvariant="italic">X&#x03BB;</mml:mi>
<mml:mo>+</mml:mo>
<mml:msup>
<mml:mi>s</mml:mi>
<mml:mo>&#x2212;</mml:mo>
</mml:msup>
</mml:mtd>
</mml:mtr>
<mml:mtr>
<mml:mtd>
<mml:msub>
<mml:mi>y</mml:mi>
<mml:mi>k</mml:mi>
</mml:msub>
<mml:mo>=</mml:mo>
<mml:mi mathvariant="italic">Y&#x03BB;</mml:mi>
<mml:mo>&#x2212;</mml:mo>
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</mml:msup>
</mml:mtd>
</mml:mtr>
<mml:mtr>
<mml:mtd>
<mml:msub>
<mml:mi>b</mml:mi>
<mml:mi>k</mml:mi>
</mml:msub>
<mml:mo>=</mml:mo>
<mml:mi mathvariant="italic">B&#x03BB;</mml:mi>
<mml:mo>+</mml:mo>
<mml:msup>
<mml:mi>s</mml:mi>
<mml:mrow>
<mml:mi>b</mml:mi>
<mml:mo>&#x2212;</mml:mo>
</mml:mrow>
</mml:msup>
</mml:mtd>
</mml:mtr>
<mml:mtr>
<mml:mtd>
<mml:mi>&#x03BB;</mml:mi>
<mml:mo>&#x2A7E;</mml:mo>
<mml:mn>0</mml:mn>
<mml:mo>,</mml:mo>
<mml:msup>
<mml:mi>s</mml:mi>
<mml:mo>&#x2212;</mml:mo>
</mml:msup>
<mml:mo>&#x2A7E;</mml:mo>
<mml:mn>0</mml:mn>
<mml:mo>,</mml:mo>
<mml:msup>
<mml:mi>s</mml:mi>
<mml:mo>+</mml:mo>
</mml:msup>
<mml:mo>&#x2A7E;</mml:mo>
<mml:mn>0</mml:mn>
<mml:mo>,</mml:mo>
<mml:msup>
<mml:mi>s</mml:mi>
<mml:mrow>
<mml:mi>b</mml:mi>
<mml:mo>&#x2212;</mml:mo>
</mml:mrow>
</mml:msup>
<mml:mo>&#x2A7E;</mml:mo>
<mml:mn>0</mml:mn>
</mml:mtd>
</mml:mtr>
</mml:mtable>
<mml:mo stretchy="true">}</mml:mo>
</mml:math>
</disp-formula>
<p>In <xref ref-type="disp-formula" rid="EQ7">Equation 7</xref>, each province represents a decision-making unit. <inline-formula>
<mml:math id="M9">
<mml:mi>m</mml:mi>
<mml:mspace width="0.25em"/>
</mml:math>
</inline-formula> denotes the input for each decision-making unit, <inline-formula>
<mml:math id="M10">
<mml:msub>
<mml:mi>p</mml:mi>
<mml:mn>1</mml:mn>
</mml:msub>
<mml:mspace width="0.25em"/>
</mml:math>
</inline-formula> represents the expected output, <inline-formula>
<mml:math id="M11">
<mml:msub>
<mml:mi>p</mml:mi>
<mml:mn>2</mml:mn>
</mml:msub>
<mml:mspace width="0.25em"/>
</mml:math>
</inline-formula> represents the unexpected output, and <inline-formula>
<mml:math id="M12">
<mml:msup>
<mml:mi>s</mml:mi>
<mml:mo>&#x2212;</mml:mo>
</mml:msup>
</mml:math>
</inline-formula>, <inline-formula>
<mml:math id="M13">
<mml:msup>
<mml:mi>s</mml:mi>
<mml:mo>+</mml:mo>
</mml:msup>
</mml:math>
</inline-formula>, <inline-formula>
<mml:math id="M14">
<mml:msup>
<mml:mi>s</mml:mi>
<mml:mrow>
<mml:mi>b</mml:mi>
<mml:mo>&#x2212;</mml:mo>
</mml:mrow>
</mml:msup>
<mml:mspace width="0.25em"/>
</mml:math>
</inline-formula> represent the slack variables for input, expected output, and unexpected output, respectively. <inline-formula>
<mml:math id="M15">
<mml:msub>
<mml:mi>x</mml:mi>
<mml:mi>k</mml:mi>
</mml:msub>
</mml:math>
</inline-formula>, <inline-formula>
<mml:math id="M16">
<mml:msub>
<mml:mi>y</mml:mi>
<mml:mi>k</mml:mi>
</mml:msub>
</mml:math>
</inline-formula>, <inline-formula>
<mml:math id="M17">
<mml:msub>
<mml:mi>b</mml:mi>
<mml:mi>k</mml:mi>
</mml:msub>
<mml:mspace width="0.25em"/>
</mml:math>
</inline-formula> represent the input, expected output, and unexpected output vectors of the decision-making unit, respectively. <italic>X</italic>, <italic>Y</italic>, <italic>B</italic> represent the input, expected output, and unexpected output matrices, respectively, and <inline-formula>
<mml:math id="M18">
<mml:mi>&#x03BB;</mml:mi>
<mml:mspace width="0.25em"/>
</mml:math>
</inline-formula> denotes the weight vector.</p>
</sec>
<sec id="sec15">
<label>4.3.3</label>
<title>Coupling coordination degree model</title>
<p>The two parts of the Coupling Coordination Degree Model are the coupling and coordination degrees. The coupling degree denotes the level of interaction among various systems, whereas the coordination degree indicates the developmental status of diverse systems according to a uniform measuring standard (<xref ref-type="bibr" rid="ref26">Qindong et al., 2025</xref>). The CCD between the digital economy and CLUE is calculated in this study using the coupling coordination degree model. The following is the calculating formula:</p>
<disp-formula id="EQ8">
<label>(8)</label>
<mml:math id="M19">
<mml:mi>C</mml:mi>
<mml:mo>=</mml:mo>
<mml:mfrac>
<mml:mrow>
<mml:mn>2</mml:mn>
<mml:msqrt>
<mml:mrow>
<mml:msub>
<mml:mi>U</mml:mi>
<mml:mn>1</mml:mn>
</mml:msub>
<mml:msub>
<mml:mi>U</mml:mi>
<mml:mn>2</mml:mn>
</mml:msub>
</mml:mrow>
</mml:msqrt>
</mml:mrow>
<mml:mrow>
<mml:msub>
<mml:mi>U</mml:mi>
<mml:mn>1</mml:mn>
</mml:msub>
<mml:mo>+</mml:mo>
<mml:msub>
<mml:mi>U</mml:mi>
<mml:mn>2</mml:mn>
</mml:msub>
</mml:mrow>
</mml:mfrac>
</mml:math>
</disp-formula>
<disp-formula id="EQ9">
<label>(9)</label>
<mml:math id="M20">
<mml:mi>T</mml:mi>
<mml:mo>=</mml:mo>
<mml:mi>&#x03B1;</mml:mi>
<mml:msub>
<mml:mi>U</mml:mi>
<mml:mn>1</mml:mn>
</mml:msub>
<mml:mo>+</mml:mo>
<mml:mi>&#x03B2;</mml:mi>
<mml:msub>
<mml:mi>U</mml:mi>
<mml:mn>2</mml:mn>
</mml:msub>
</mml:math>
</disp-formula>
<disp-formula id="EQ10">
<label>(10)</label>
<mml:math id="M21">
<mml:mi>D</mml:mi>
<mml:mo>=</mml:mo>
<mml:msqrt>
<mml:mrow>
<mml:mi>C</mml:mi>
<mml:mo>&#x00D7;</mml:mo>
<mml:mi>T</mml:mi>
</mml:mrow>
</mml:msqrt>
</mml:math>
</disp-formula>
<p>In <xref ref-type="disp-formula" rid="EQ8">Equations 8</xref>&#x2013;<xref ref-type="disp-formula" rid="EQ10">10</xref>: <inline-formula>
<mml:math id="M22">
<mml:mi>C</mml:mi>
<mml:mspace width="0.25em"/>
</mml:math>
</inline-formula> represents the coupling degree, <inline-formula>
<mml:math id="M23">
<mml:mi>T</mml:mi>
<mml:mspace width="0.25em"/>
</mml:math>
</inline-formula> represents the coordination degree, and <inline-formula>
<mml:math id="M24">
<mml:mi>D</mml:mi>
<mml:mspace width="0.25em"/>
</mml:math>
</inline-formula> represents the CCD, with a value range of [0, 1]. The closer <inline-formula>
<mml:math id="M25">
<mml:mi>D</mml:mi>
<mml:mspace width="0.25em"/>
</mml:math>
</inline-formula> is to 1, the greater the coordination between the two systems. <inline-formula>
<mml:math id="M26">
<mml:mi>&#x03B1;</mml:mi>
<mml:mspace width="0.25em"/>
</mml:math>
</inline-formula> and <inline-formula>
<mml:math id="M27">
<mml:mi>&#x03B2;</mml:mi>
<mml:mspace width="0.25em"/>
</mml:math>
</inline-formula> are the system weights, with their sum equal to 1. Based on existing research, the CCD is divided into five levels, as shown in <xref ref-type="table" rid="tab3">Table 3</xref>.</p>
<table-wrap position="float" id="tab3">
<label>Table 3</label>
<caption>
<p>Coupling coordination degree level classification.</p>
</caption>
<table frame="hsides" rules="groups">
<thead>
<tr>
<th align="left" valign="top">Coupling coordination</th>
<th align="center" valign="top">0.0&#x202F;&#x2264;&#x202F;D&#x202F;&#x003C;&#x202F;0.3</th>
<th align="center" valign="top">0.3&#x202F;&#x2264;&#x202F;D&#x202F;&#x003C;&#x202F;0.4</th>
<th align="center" valign="top">0.4&#x202F;&#x2264;&#x202F;D&#x202F;&#x003C;&#x202F;0.5</th>
<th align="center" valign="top">0.5&#x202F;&#x2264;&#x202F;D&#x202F;&#x003C;&#x202F;0.6</th>
<th align="center" valign="top">0.6&#x202F;&#x2264;&#x202F;D&#x202F;&#x003C;&#x202F;1</th>
</tr>
</thead>
<tbody>
<tr>
<td align="left" valign="top">Degree of coordination</td>
<td align="center" valign="top">Serious disorder</td>
<td align="center" valign="top">Mild disorder</td>
<td align="center" valign="top">Imminent disorder</td>
<td align="center" valign="top">Basic coordination</td>
<td align="center" valign="top">Benign coordination</td>
</tr>
</tbody>
</table>
</table-wrap>
</sec>
<sec id="sec16">
<label>4.3.4</label>
<title>Dagum Gini coefficient</title>
<p><xref ref-type="bibr" rid="ref9001">Dagum (1997)</xref> suggested a decomposition method for the Gini coefficient that overcomes the drawbacks of current approaches to measuring regional differences. This approach makes finding the causes of regional discrepancies easier (<xref ref-type="bibr" rid="ref19">Liu et al., 2025</xref>). This approach makes finding the causes of regional discrepancies easier. This study uses the Dagum Gini coefficient and its decomposition approach to thoroughly examine the general variations and causes of variations in the degree of coupling coordination regarding China&#x2019;s digital economy and CLUE. The calculation formulas for the overall Gini coefficient <inline-formula>
<mml:math id="M28">
<mml:mi>G</mml:mi>
</mml:math>
</inline-formula>, intra-regional Gini coefficient <inline-formula>
<mml:math id="M29">
<mml:mspace width="0.25em"/>
<mml:msub>
<mml:mi>G</mml:mi>
<mml:mi mathvariant="italic">ij</mml:mi>
</mml:msub>
</mml:math>
</inline-formula>, and inter-regional Gini coefficient <inline-formula>
<mml:math id="M30">
<mml:mspace width="0.25em"/>
<mml:msub>
<mml:mi>G</mml:mi>
<mml:mi mathvariant="italic">jh</mml:mi>
</mml:msub>
<mml:mspace width="0.25em"/>
</mml:math>
</inline-formula> are detailed in <xref ref-type="disp-formula" rid="EQ11">Equations 11</xref>&#x2013;<xref ref-type="disp-formula" rid="EQ13">13</xref>:</p>
<disp-formula id="EQ11">
<label>(11)</label>
<mml:math id="M31">
<mml:mi>G</mml:mi>
<mml:mo>=</mml:mo>
<mml:mfrac>
<mml:mn>1</mml:mn>
<mml:mrow>
<mml:mn>2</mml:mn>
<mml:msup>
<mml:mi>n</mml:mi>
<mml:mn>2</mml:mn>
</mml:msup>
<mml:mover accent="true">
<mml:mi>y</mml:mi>
<mml:mo stretchy="true">&#x00AF;</mml:mo>
</mml:mover>
</mml:mrow>
</mml:mfrac>
<mml:munderover>
<mml:mo movablelimits="false">&#x2211;</mml:mo>
<mml:mrow>
<mml:mi>j</mml:mi>
<mml:mo>=</mml:mo>
<mml:mn>1</mml:mn>
</mml:mrow>
<mml:mi>k</mml:mi>
</mml:munderover>
<mml:mspace width="0.25em"/>
<mml:munderover>
<mml:mo movablelimits="false">&#x2211;</mml:mo>
<mml:mrow>
<mml:mi>h</mml:mi>
<mml:mo>=</mml:mo>
<mml:mn>1</mml:mn>
</mml:mrow>
<mml:mi>k</mml:mi>
</mml:munderover>
<mml:mspace width="0.25em"/>
<mml:munderover>
<mml:mo movablelimits="false">&#x2211;</mml:mo>
<mml:mrow>
<mml:mi>i</mml:mi>
<mml:mo>=</mml:mo>
<mml:mn>1</mml:mn>
</mml:mrow>
<mml:msub>
<mml:mi>n</mml:mi>
<mml:mi>j</mml:mi>
</mml:msub>
</mml:munderover>
<mml:mspace width="0.25em"/>
<mml:munderover>
<mml:mo movablelimits="false">&#x2211;</mml:mo>
<mml:mrow>
<mml:mi>r</mml:mi>
<mml:mo>=</mml:mo>
<mml:mn>1</mml:mn>
</mml:mrow>
<mml:msub>
<mml:mi>n</mml:mi>
<mml:mi>k</mml:mi>
</mml:msub>
</mml:munderover>
<mml:mspace width="0.25em"/>
<mml:mo>&#x2223;</mml:mo>
<mml:msub>
<mml:mi>y</mml:mi>
<mml:mi mathvariant="italic">ji</mml:mi>
</mml:msub>
<mml:mo>&#x2212;</mml:mo>
<mml:msub>
<mml:mi>y</mml:mi>
<mml:mi mathvariant="italic">hr</mml:mi>
</mml:msub>
<mml:mo>&#x2223;</mml:mo>
</mml:math>
</disp-formula>
<disp-formula id="EQ12">
<label>(12)</label>
<mml:math id="M32">
<mml:msub>
<mml:mi>G</mml:mi>
<mml:mi mathvariant="italic">ij</mml:mi>
</mml:msub>
<mml:mo>=</mml:mo>
<mml:mfrac>
<mml:mn>1</mml:mn>
<mml:mrow>
<mml:mn>2</mml:mn>
<mml:msub>
<mml:mi>u</mml:mi>
<mml:mi>j</mml:mi>
</mml:msub>
<mml:msubsup>
<mml:mi>n</mml:mi>
<mml:mi>j</mml:mi>
<mml:mn>2</mml:mn>
</mml:msubsup>
</mml:mrow>
</mml:mfrac>
<mml:munderover>
<mml:mo movablelimits="false">&#x2211;</mml:mo>
<mml:mrow>
<mml:mi>i</mml:mi>
<mml:mo>=</mml:mo>
<mml:mn>1</mml:mn>
</mml:mrow>
<mml:msub>
<mml:mi>n</mml:mi>
<mml:mi>j</mml:mi>
</mml:msub>
</mml:munderover>
<mml:mspace width="0.25em"/>
<mml:munderover>
<mml:mo movablelimits="false">&#x2211;</mml:mo>
<mml:mrow>
<mml:mi>r</mml:mi>
<mml:mo>=</mml:mo>
<mml:mn>1</mml:mn>
</mml:mrow>
<mml:msub>
<mml:mi>n</mml:mi>
<mml:mi>j</mml:mi>
</mml:msub>
</mml:munderover>
<mml:mo>&#x2223;</mml:mo>
<mml:msub>
<mml:mi>y</mml:mi>
<mml:mi mathvariant="italic">ji</mml:mi>
</mml:msub>
<mml:mo>&#x2212;</mml:mo>
<mml:msub>
<mml:mi>y</mml:mi>
<mml:mi mathvariant="italic">jr</mml:mi>
</mml:msub>
<mml:mo>&#x2223;</mml:mo>
</mml:math>
</disp-formula>
<disp-formula id="EQ13">
<label>(13)</label>
<mml:math id="M33">
<mml:msub>
<mml:mi>G</mml:mi>
<mml:mi mathvariant="italic">jh</mml:mi>
</mml:msub>
<mml:mo>=</mml:mo>
<mml:mo stretchy="true">(</mml:mo>
<mml:munderover>
<mml:mo movablelimits="false">&#x2211;</mml:mo>
<mml:mrow>
<mml:mi>i</mml:mi>
<mml:mo>=</mml:mo>
<mml:mn>1</mml:mn>
</mml:mrow>
<mml:msub>
<mml:mi>n</mml:mi>
<mml:mi>j</mml:mi>
</mml:msub>
</mml:munderover>
<mml:munderover>
<mml:mo movablelimits="false">&#x2211;</mml:mo>
<mml:mrow>
<mml:mi>r</mml:mi>
<mml:mo>=</mml:mo>
<mml:mn>1</mml:mn>
</mml:mrow>
<mml:msub>
<mml:mi>n</mml:mi>
<mml:mi>h</mml:mi>
</mml:msub>
</mml:munderover>
<mml:mo>&#x2223;</mml:mo>
<mml:msub>
<mml:mi>y</mml:mi>
<mml:mi mathvariant="italic">ji</mml:mi>
</mml:msub>
<mml:mo>&#x2212;</mml:mo>
<mml:msub>
<mml:mi>y</mml:mi>
<mml:mi mathvariant="italic">hr</mml:mi>
</mml:msub>
<mml:mo>&#x2223;</mml:mo>
<mml:mo stretchy="true">)</mml:mo>
<mml:mo>/</mml:mo>
<mml:mo stretchy="true">(</mml:mo>
<mml:msub>
<mml:mi>n</mml:mi>
<mml:mi>j</mml:mi>
</mml:msub>
<mml:msub>
<mml:mi>n</mml:mi>
<mml:mi>h</mml:mi>
</mml:msub>
<mml:mo>&#x2223;</mml:mo>
<mml:msub>
<mml:mi>y</mml:mi>
<mml:mi mathvariant="italic">ij</mml:mi>
</mml:msub>
<mml:mo>&#x2212;</mml:mo>
<mml:msub>
<mml:mi>y</mml:mi>
<mml:mi mathvariant="italic">ir</mml:mi>
</mml:msub>
<mml:mo>&#x2223;</mml:mo>
<mml:mo stretchy="true">)</mml:mo>
</mml:math>
</disp-formula>
<p>Further, in <xref ref-type="disp-formula" rid="EQ14">Equations 14</xref>&#x2013;<xref ref-type="disp-formula" rid="EQ16">16</xref>, the Gini coefficient is decomposed into the contributions of regional differences <inline-formula>
<mml:math id="M34">
<mml:mspace width="0.25em"/>
<mml:msub>
<mml:mi>G</mml:mi>
<mml:mi>w</mml:mi>
</mml:msub>
</mml:math>
</inline-formula>, inter-regional differences <inline-formula>
<mml:math id="M35">
<mml:mspace width="0.25em"/>
<mml:msub>
<mml:mi>G</mml:mi>
<mml:mi mathvariant="italic">nb</mml:mi>
</mml:msub>
</mml:math>
</inline-formula>, and super-density contributions <inline-formula>
<mml:math id="M36">
<mml:mspace width="0.25em"/>
<mml:msub>
<mml:mi>G</mml:mi>
<mml:mi>t</mml:mi>
</mml:msub>
</mml:math>
</inline-formula>:</p>
<disp-formula id="EQ14">
<label>(14)</label>
<mml:math id="M37">
<mml:msub>
<mml:mi mathvariant="normal">G</mml:mi>
<mml:mi mathvariant="normal">w</mml:mi>
</mml:msub>
<mml:mo>=</mml:mo>
<mml:munderover>
<mml:mo movablelimits="false">&#x2211;</mml:mo>
<mml:mrow>
<mml:mi>j</mml:mi>
<mml:mo>=</mml:mo>
<mml:mn>1</mml:mn>
</mml:mrow>
<mml:mi>k</mml:mi>
</mml:munderover>
<mml:mspace width="0.25em"/>
<mml:msub>
<mml:mi>G</mml:mi>
<mml:mi mathvariant="italic">jj</mml:mi>
</mml:msub>
<mml:msub>
<mml:mi>P</mml:mi>
<mml:mi>j</mml:mi>
</mml:msub>
<mml:msub>
<mml:mi>s</mml:mi>
<mml:mi>j</mml:mi>
</mml:msub>
</mml:math>
</disp-formula>
<disp-formula id="EQ15">
<label>(15)</label>
<mml:math id="M38">
<mml:msub>
<mml:mi>G</mml:mi>
<mml:mi mathvariant="italic">nb</mml:mi>
</mml:msub>
<mml:mo>=</mml:mo>
<mml:munderover>
<mml:mo movablelimits="false">&#x2211;</mml:mo>
<mml:mrow>
<mml:mi>j</mml:mi>
<mml:mo>=</mml:mo>
<mml:mn>2</mml:mn>
</mml:mrow>
<mml:mi>k</mml:mi>
</mml:munderover>
<mml:mspace width="0.25em"/>
<mml:munderover>
<mml:mo movablelimits="false">&#x2211;</mml:mo>
<mml:mrow>
<mml:mi>h</mml:mi>
<mml:mo>=</mml:mo>
<mml:mn>1</mml:mn>
</mml:mrow>
<mml:mrow>
<mml:mi>j</mml:mi>
<mml:mo>&#x2212;</mml:mo>
<mml:mn>1</mml:mn>
</mml:mrow>
</mml:munderover>
<mml:mspace width="0.25em"/>
<mml:msub>
<mml:mi>G</mml:mi>
<mml:mi mathvariant="italic">jh</mml:mi>
</mml:msub>
<mml:mo stretchy="true">(</mml:mo>
<mml:msub>
<mml:mi>p</mml:mi>
<mml:mi>j</mml:mi>
</mml:msub>
<mml:msub>
<mml:mi>s</mml:mi>
<mml:mi>h</mml:mi>
</mml:msub>
<mml:mo>+</mml:mo>
<mml:msub>
<mml:mi>p</mml:mi>
<mml:mi>h</mml:mi>
</mml:msub>
<mml:msub>
<mml:mi>s</mml:mi>
<mml:mi>j</mml:mi>
</mml:msub>
<mml:mo stretchy="true">)</mml:mo>
<mml:msub>
<mml:mi>D</mml:mi>
<mml:mi mathvariant="italic">jh</mml:mi>
</mml:msub>
</mml:math>
</disp-formula>
<disp-formula id="EQ16">
<label>(16)</label>
<mml:math id="M39">
<mml:msub>
<mml:mi mathvariant="normal">G</mml:mi>
<mml:mi mathvariant="normal">t</mml:mi>
</mml:msub>
<mml:mo>=</mml:mo>
<mml:munderover>
<mml:mo movablelimits="false">&#x2211;</mml:mo>
<mml:mrow>
<mml:mi>j</mml:mi>
<mml:mo>=</mml:mo>
<mml:mn>2</mml:mn>
</mml:mrow>
<mml:mi mathvariant="normal">k</mml:mi>
</mml:munderover>
<mml:mspace width="0.25em"/>
<mml:munderover>
<mml:mo movablelimits="false">&#x2211;</mml:mo>
<mml:mrow>
<mml:mi>h</mml:mi>
<mml:mo>=</mml:mo>
<mml:mn>1</mml:mn>
</mml:mrow>
<mml:mrow>
<mml:mi>j</mml:mi>
<mml:mo>&#x2212;</mml:mo>
<mml:mn>1</mml:mn>
</mml:mrow>
</mml:munderover>
<mml:mspace width="0.25em"/>
<mml:msub>
<mml:mi>G</mml:mi>
<mml:mi mathvariant="italic">jh</mml:mi>
</mml:msub>
<mml:mo stretchy="true">(</mml:mo>
<mml:msub>
<mml:mi mathvariant="normal">P</mml:mi>
<mml:mi mathvariant="normal">j</mml:mi>
</mml:msub>
<mml:msub>
<mml:mi>s</mml:mi>
<mml:mi>h</mml:mi>
</mml:msub>
<mml:mo>+</mml:mo>
<mml:msub>
<mml:mi mathvariant="normal">P</mml:mi>
<mml:mi mathvariant="normal">h</mml:mi>
</mml:msub>
<mml:msub>
<mml:mi>s</mml:mi>
<mml:mi>j</mml:mi>
</mml:msub>
<mml:mo stretchy="true">)</mml:mo>
<mml:mspace width="0.25em"/>
<mml:mo stretchy="true">(</mml:mo>
<mml:mn>1</mml:mn>
<mml:mo>&#x2212;</mml:mo>
<mml:msub>
<mml:mi>D</mml:mi>
<mml:mi mathvariant="italic">jh</mml:mi>
</mml:msub>
<mml:mo stretchy="true">)</mml:mo>
</mml:math>
</disp-formula>
</sec>
<sec id="sec17">
<label>4.3.5</label>
<title>Spatial correlation test</title>
<p>Adjacent regions exhibit some form of spatial interaction and dependence. This work uses Moran&#x2019;s I index for spatial autocorrelation analysis to make measuring their correlation easier. While the local Moran&#x2019;s I index is used to examine the precise locations and extent of the aggregation, the global Moran&#x2019;s I index is used to determine if spatial aggregation occurs within the region (<xref ref-type="bibr" rid="ref41">Zhang et al., 2025</xref>). <xref ref-type="disp-formula" rid="EQ17">Equations 17</xref>,<xref ref-type="disp-formula" rid="EQ18">18</xref> are used to calculate the global and local Moran&#x2019;s I indices:</p>
<disp-formula id="EQ17">
<label>(17)</label>
<mml:math id="M40">
<mml:mi>I</mml:mi>
<mml:mo>=</mml:mo>
<mml:mfrac>
<mml:mrow>
<mml:munderover>
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<mml:mrow>
<mml:mi>i</mml:mi>
<mml:mo>=</mml:mo>
<mml:mn>1</mml:mn>
</mml:mrow>
<mml:mi>n</mml:mi>
</mml:munderover>
<mml:mspace width="0.25em"/>
<mml:munderover>
<mml:mo movablelimits="false">&#x2211;</mml:mo>
<mml:mrow>
<mml:mi>j</mml:mi>
<mml:mo>=</mml:mo>
<mml:mn>1</mml:mn>
</mml:mrow>
<mml:mi>n</mml:mi>
</mml:munderover>
<mml:mspace width="0.25em"/>
<mml:msub>
<mml:mi>w</mml:mi>
<mml:mi mathvariant="italic">ij</mml:mi>
</mml:msub>
<mml:mo stretchy="true">(</mml:mo>
<mml:msub>
<mml:mi>z</mml:mi>
<mml:mi>i</mml:mi>
</mml:msub>
<mml:mo>&#x2212;</mml:mo>
<mml:mover accent="true">
<mml:mi>z</mml:mi>
<mml:mo stretchy="true">&#x00AF;</mml:mo>
</mml:mover>
<mml:mo stretchy="true">)</mml:mo>
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<mml:mi>j</mml:mi>
</mml:msub>
<mml:mo>&#x2212;</mml:mo>
<mml:mover accent="true">
<mml:mi>z</mml:mi>
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</mml:mover>
<mml:mo stretchy="true">)</mml:mo>
</mml:mrow>
<mml:mrow>
<mml:msup>
<mml:mi>S</mml:mi>
<mml:mn>2</mml:mn>
</mml:msup>
<mml:munderover>
<mml:mo movablelimits="false">&#x2211;</mml:mo>
<mml:mrow>
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<mml:mo>=</mml:mo>
<mml:mn>1</mml:mn>
</mml:mrow>
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<mml:munderover>
<mml:mo movablelimits="false">&#x2211;</mml:mo>
<mml:mrow>
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<mml:mo>=</mml:mo>
<mml:mn>1</mml:mn>
</mml:mrow>
<mml:mi>n</mml:mi>
</mml:munderover>
<mml:mspace width="0.25em"/>
<mml:msub>
<mml:mi>w</mml:mi>
<mml:mi mathvariant="italic">ij</mml:mi>
</mml:msub>
</mml:mrow>
</mml:mfrac>
</mml:math>
</disp-formula>
<disp-formula id="EQ18">
<label>(18)</label>
<mml:math id="M41">
<mml:msub>
<mml:mi>I</mml:mi>
<mml:mi>i</mml:mi>
</mml:msub>
<mml:mo>=</mml:mo>
<mml:mfrac>
<mml:mrow>
<mml:msub>
<mml:mi>z</mml:mi>
<mml:mi>i</mml:mi>
</mml:msub>
<mml:mo>&#x2212;</mml:mo>
<mml:mover accent="true">
<mml:mi>z</mml:mi>
<mml:mo stretchy="true">&#x00AF;</mml:mo>
</mml:mover>
</mml:mrow>
<mml:msup>
<mml:mi>S</mml:mi>
<mml:mn>2</mml:mn>
</mml:msup>
</mml:mfrac>
<mml:mo>&#x22C5;</mml:mo>
<mml:munderover>
<mml:mo movablelimits="false">&#x2211;</mml:mo>
<mml:mrow>
<mml:mi>j</mml:mi>
<mml:mo>&#x2260;</mml:mo>
<mml:mi>i</mml:mi>
</mml:mrow>
<mml:mi>n</mml:mi>
</mml:munderover>
<mml:msub>
<mml:mi>w</mml:mi>
<mml:mi mathvariant="italic">ij</mml:mi>
</mml:msub>
<mml:mo stretchy="true">(</mml:mo>
<mml:msub>
<mml:mi>z</mml:mi>
<mml:mi>j</mml:mi>
</mml:msub>
<mml:mo>&#x2212;</mml:mo>
<mml:mover accent="true">
<mml:mi>z</mml:mi>
<mml:mo stretchy="true">&#x00AF;</mml:mo>
</mml:mover>
<mml:mo stretchy="true">)</mml:mo>
</mml:math>
</disp-formula>
<p><inline-formula>
<mml:math id="M42">
<mml:mi>I</mml:mi>
<mml:mspace width="0.25em"/>
</mml:math>
</inline-formula> is the global Moran&#x2019;s I index. When <inline-formula>
<mml:math id="M43">
<mml:mi>I</mml:mi>
</mml:math>
</inline-formula> &#x003E; 0, it indicates a positive spatial correlation in the distribution of the variable, the larger the value, the stronger the spatial correlation. When <inline-formula>
<mml:math id="M44">
<mml:mi>I</mml:mi>
</mml:math>
</inline-formula> &#x003C; 0, it indicates a negative spatial correlation, and the smaller the value, the greater the spatial disparity. When <inline-formula>
<mml:math id="M45">
<mml:mi>I</mml:mi>
</mml:math>
</inline-formula> = 0, it indicates no spatial correlation of the variable. <inline-formula>
<mml:math id="M46">
<mml:msub>
<mml:mi>I</mml:mi>
<mml:mi>i</mml:mi>
</mml:msub>
<mml:mspace width="0.25em"/>
</mml:math>
</inline-formula> represents the local Moran&#x2019;s I index.</p>
</sec>
<sec id="sec18">
<label>4.3.6</label>
<title>Markov chain model</title>
<p>This research uses the classic Markov chain and spatial Markov chain analysis methods to determine the transition probability matrix under various scenarios (<xref ref-type="bibr" rid="ref1">Abhinav and Rajesh, 2025</xref>). The calculation formulas are as follows:</p>
<disp-formula id="EQ19">
<label>(19)</label>
<mml:math id="M47">
<mml:msub>
<mml:mi>P</mml:mi>
<mml:mi mathvariant="italic">ij</mml:mi>
</mml:msub>
<mml:mo>=</mml:mo>
<mml:mfrac>
<mml:msub>
<mml:mi>n</mml:mi>
<mml:mi mathvariant="italic">ij</mml:mi>
</mml:msub>
<mml:msub>
<mml:mi>n</mml:mi>
<mml:mi>i</mml:mi>
</mml:msub>
</mml:mfrac>
</mml:math>
</disp-formula>
<disp-formula id="EQ20">
<label>(20)</label>
<mml:math id="M48">
<mml:mi>Lag</mml:mi>
<mml:mo>=</mml:mo>
<mml:mi mathvariant="normal">X</mml:mi>
<mml:mo>&#x00D7;</mml:mo>
<mml:mi mathvariant="normal">W</mml:mi>
</mml:math>
</disp-formula>
<p>In <xref ref-type="disp-formula" rid="EQ19">Equations 19</xref>,<xref ref-type="disp-formula" rid="EQ20">20</xref>, <inline-formula>
<mml:math id="M49">
<mml:msub>
<mml:mi>P</mml:mi>
<mml:mi mathvariant="italic">ij</mml:mi>
</mml:msub>
<mml:mspace width="0.25em"/>
</mml:math>
</inline-formula> represents the transition probability, <inline-formula>
<mml:math id="M50">
<mml:mi>Lag</mml:mi>
</mml:math>
</inline-formula> denotes the spatial lag value, <inline-formula>
<mml:math id="M51">
<mml:mi mathvariant="normal">X</mml:mi>
</mml:math>
</inline-formula> represents the observed value, and <inline-formula>
<mml:math id="M52">
<mml:mi mathvariant="normal">W</mml:mi>
</mml:math>
</inline-formula> denotes the spatial weight matrix.</p>
</sec>
<sec id="sec19">
<label>4.3.7</label>
<title>Tobit model</title>
<p>This model selects the CCD as the dependent variable, which has a range of values between 0 and 1, making it a limited dependent variable (<xref ref-type="bibr" rid="ref46">Zhu et al., 2025</xref>). The influence of driving factors on the CCD may not be well reflected in the skewed regression findings that arise from using OLS to estimate a constrained dependent variable. To do regression on the driving factors, this study uses the Tobit model, which has the following formula:</p>
<disp-formula id="EQ21">
<label>(21)</label>
<mml:math id="M53">
<mml:msub>
<mml:mi>y</mml:mi>
<mml:mi mathvariant="italic">it</mml:mi>
</mml:msub>
<mml:mo>=</mml:mo>
<mml:mi>a</mml:mi>
<mml:mo>+</mml:mo>
<mml:msub>
<mml:mi>x</mml:mi>
<mml:mi mathvariant="italic">it</mml:mi>
</mml:msub>
<mml:msub>
<mml:mi>&#x03B2;</mml:mi>
<mml:mi>i</mml:mi>
</mml:msub>
<mml:mo>+</mml:mo>
<mml:msub>
<mml:mi>&#x03B5;</mml:mi>
<mml:mi mathvariant="italic">it</mml:mi>
</mml:msub>
</mml:math>
</disp-formula>
<p>In <xref ref-type="disp-formula" rid="EQ21">Equation 21</xref>: <inline-formula>
<mml:math id="M54">
<mml:msub>
<mml:mi>y</mml:mi>
<mml:mi mathvariant="italic">it</mml:mi>
</mml:msub>
</mml:math>
</inline-formula> is the dependent variable, <inline-formula>
<mml:math id="M55">
<mml:msub>
<mml:mi>x</mml:mi>
<mml:mi mathvariant="italic">it</mml:mi>
</mml:msub>
</mml:math>
</inline-formula> represents the driving factors, <inline-formula>
<mml:math id="M56">
<mml:mi>a</mml:mi>
</mml:math>
</inline-formula> is the constant term, <inline-formula>
<mml:math id="M57">
<mml:msub>
<mml:mi>&#x03B2;</mml:mi>
<mml:mi>i</mml:mi>
</mml:msub>
<mml:mspace width="0.25em"/>
</mml:math>
</inline-formula> is the regression coefficient, and <inline-formula>
<mml:math id="M58">
<mml:msub>
<mml:mi>&#x03B5;</mml:mi>
<mml:mi mathvariant="italic">it</mml:mi>
</mml:msub>
<mml:mspace width="0.25em"/>
</mml:math>
</inline-formula> is the random error term.</p>
</sec>
</sec>
</sec>
<sec id="sec20">
<label>5</label>
<title>Empirical results and analysis</title>
<sec id="sec21">
<label>5.1</label>
<title>Measurement of digital economy and cultivated land utilization efficiency</title>
<sec id="sec22">
<label>5.1.1</label>
<title>Digital economy</title>
<p>This study applies the entropy method to construct China&#x2019;s digital economy development index from 2014 to 2022. As shown in <xref ref-type="fig" rid="fig3">Figure 3</xref>, the national index exhibited a fluctuating upward trend, rising from 0.0859 to 0.1998 over the study period. Regionally, the eastern area experienced rapid growth, with its index increasing from 0.1459 to 0.3156, significantly outpacing other regions. The central region&#x2019;s index rose from 0.0573 to 0.1476, while the western region, starting from a lower base, increased steadily from 0.0467 to 0.1219. In 2014, most provinces had a digital economy development index between 0.05 and 0.10. By 2022, the index had grown substantially, particularly in the eastern region, where most provinces recorded values between 0.20 and 0.40. Notably, Beijing and Guangdong exceeded 0.50, indicating leading positions in digital economic development.</p>
<fig position="float" id="fig3">
<label>Figure 3</label>
<caption>
<p>Digital economy development levels in China and three major regions from 2014 to 2022.</p>
</caption>
<graphic xlink:href="fsufs-09-1617727-g003.tif">
<alt-text content-type="machine-generated">Line graph depicting trends from 2014 to 2022 for four regions: Nationwide, Central, Eastern, and Western. The Eastern region shows a consistent upward trend, while the Central and Nationwide regions exhibit moderate growth. The Western region remains lower and relatively stable.</alt-text>
</graphic>
</fig>
<p>In summary, the growth of China&#x2019;s digital economy exhibits significant regional variation. The eastern region consistently leads due to its strong technological innovation capacity and robust economic foundation. Although the central and western regions have shown positive momentum and some advantages as late developers, they continue to face challenges related to uneven development and structural constraints.</p>
</sec>
<sec id="sec23">
<label>5.1.2</label>
<title>Cultivated land use efficiency</title>
<p>To assess CLUE in China from 2014 to 2022, the study employed the super-efficient SBM model based on unexpected output. As shown in <xref ref-type="table" rid="tab4">Table 4</xref>, both national and regional CLUE demonstrated a consistent upward trend during the study period. At the national level, efficiency increased from 0.4881 to 0.8736. The central region began with a relatively high efficiency score of 0.5377 but exhibited slower growth, reaching 0.7534 by 2022. In contrast, the western region experienced the most rapid improvement, with efficiency rising from 0.4599 to 0.9214. Notably, most provinces in the western region recorded efficiency values exceeding 1.0. Although the overall efficiency in the central region remains lower than in the west, provinces such as Jilin, Hubei, and Heilongjiang surpassed the 1.0 threshold.</p>
<table-wrap position="float" id="tab4">
<label>Table 4</label>
<caption>
<p>Cultivated land use efficiency in China and three major regions from 2014 to 2022.</p>
</caption>
<table frame="hsides" rules="groups">
<thead>
<tr>
<th align="left" valign="top">Year</th>
<th align="center" valign="top">2014</th>
<th align="center" valign="top">2015</th>
<th align="center" valign="top">2016</th>
<th align="center" valign="top">2017</th>
<th align="center" valign="top">2018</th>
<th align="center" valign="top">2019</th>
<th align="center" valign="top">2020</th>
<th align="center" valign="top">2021</th>
<th align="center" valign="top">2022</th>
</tr>
</thead>
<tbody>
<tr>
<td align="left" valign="top">Nationwide</td>
<td align="center" valign="top">0.4881</td>
<td align="center" valign="top">0.4772</td>
<td align="center" valign="top">0.4978</td>
<td align="center" valign="top">0.5310</td>
<td align="center" valign="top">0.5903</td>
<td align="center" valign="top">0.6284</td>
<td align="center" valign="top">0.6556</td>
<td align="center" valign="top">0.7547</td>
<td align="center" valign="top">0.8736</td>
</tr>
<tr>
<td align="left" valign="top">Eastern</td>
<td align="center" valign="top">0.5377</td>
<td align="center" valign="top">0.4928</td>
<td align="center" valign="top">0.4883</td>
<td align="center" valign="top">0.5853</td>
<td align="center" valign="top">0.5605</td>
<td align="center" valign="top">0.6001</td>
<td align="center" valign="top">0.6169</td>
<td align="center" valign="top">0.6802</td>
<td align="center" valign="top">0.7534</td>
</tr>
<tr>
<td align="left" valign="top">Central</td>
<td align="center" valign="top">0.4843</td>
<td align="center" valign="top">0.4799</td>
<td align="center" valign="top">0.5116</td>
<td align="center" valign="top">0.5170</td>
<td align="center" valign="top">0.6113</td>
<td align="center" valign="top">0.6438</td>
<td align="center" valign="top">0.6462</td>
<td align="center" valign="top">0.7839</td>
<td align="center" valign="top">0.9132</td>
</tr>
<tr>
<td align="left" valign="top">Western</td>
<td align="center" valign="top">0.4559</td>
<td align="center" valign="top">0.4633</td>
<td align="center" valign="top">0.4908</td>
<td align="center" valign="top">0.5054</td>
<td align="center" valign="top">0.5910</td>
<td align="center" valign="top">0.6337</td>
<td align="center" valign="top">0.6930</td>
<td align="center" valign="top">0.7798</td>
<td align="center" valign="top">0.9214</td>
</tr>
</tbody>
</table>
</table-wrap>
<p>The steady increase in CLUE across the country and within regions can be attributed to the implementation of China&#x2019;s cultivated land conservation system, strict controls on converting cultivated land to construction land, and reinforcement of the balance between cultivated land occupation and compensation. However, substantial regional disparities persist. The eastern and western regions have outperformed the central region, primarily due to advances in agricultural technology, improvements in farm management practices, and stronger policy support.</p>
</sec>
</sec>
<sec id="sec24">
<label>5.2</label>
<title>Temporal evolution law of coupling coordination degree</title>
<sec id="sec25">
<label>5.2.1</label>
<title>Trends in the change of coupling coordination degree</title>
<p><xref ref-type="table" rid="tab5">Table 5</xref> presents a shift from mild disorder to benign coordination in the national CCD between the digital economy and CLUE, rising from 0.341 in 2014 to 0.621 in 2022. The eastern region has always been at the forefront, with the CCD increasing from 0.404 to 0.723, indicating a transition from imminent disorder to benign coordination. This sustained advantage suggests that the eastern region is better positioned to integrate and coordinate the development of the digital economy and CLUE due to its strong infrastructure and technological foundation.</p>
<table-wrap position="float" id="tab5">
<label>Table 5</label>
<caption>
<p>Coupling coordination degree of China and three major regions from 2014 to 2022.</p>
</caption>
<table frame="hsides" rules="groups">
<thead>
<tr>
<th align="left" valign="top">Year</th>
<th align="center" valign="top">2014</th>
<th align="center" valign="top">2015</th>
<th align="center" valign="top">2016</th>
<th align="center" valign="top">2017</th>
<th align="center" valign="top">2018</th>
<th align="center" valign="top">2019</th>
<th align="center" valign="top">2020</th>
<th align="center" valign="top">2021</th>
<th align="center" valign="top">2022</th>
</tr>
</thead>
<tbody>
<tr>
<td align="left" valign="top">Nationwide</td>
<td align="center" valign="top">0.341</td>
<td align="center" valign="top">0.364</td>
<td align="center" valign="top">0.390</td>
<td align="center" valign="top">0.432</td>
<td align="center" valign="top">0.483</td>
<td align="center" valign="top">0.523</td>
<td align="center" valign="top">0.554</td>
<td align="center" valign="top">0.574</td>
<td align="center" valign="top">0.621</td>
</tr>
<tr>
<td align="left" valign="top">Eastern</td>
<td align="center" valign="top">0.404</td>
<td align="center" valign="top">0.434</td>
<td align="center" valign="top">0.460</td>
<td align="center" valign="top">0.494</td>
<td align="center" valign="top">0.556</td>
<td align="center" valign="top">0.597</td>
<td align="center" valign="top">0.624</td>
<td align="center" valign="top">0.666</td>
<td align="center" valign="top">0.723</td>
</tr>
<tr>
<td align="left" valign="top">Central</td>
<td align="center" valign="top">0.320</td>
<td align="center" valign="top">0.331</td>
<td align="center" valign="top">0.357</td>
<td align="center" valign="top">0.421</td>
<td align="center" valign="top">0.445</td>
<td align="center" valign="top">0.484</td>
<td align="center" valign="top">0.510</td>
<td align="center" valign="top">0.515</td>
<td align="center" valign="top">0.550</td>
</tr>
<tr>
<td align="left" valign="top">Western</td>
<td align="center" valign="top">0.293</td>
<td align="center" valign="top">0.317</td>
<td align="center" valign="top">0.344</td>
<td align="center" valign="top">0.377</td>
<td align="center" valign="top">0.437</td>
<td align="center" valign="top">0.478</td>
<td align="center" valign="top">0.515</td>
<td align="center" valign="top">0.524</td>
<td align="center" valign="top">0.571</td>
</tr>
</tbody>
</table>
</table-wrap>
<p>In 2014, most provinces in China had relatively low CCD, primarily between 0.3 and 0.4, corresponding to the mild disorder category. By 2018, the eastern region&#x2019;s coordination levels had improved further, with all provinces exceeding 0.4. Notably, coordination degrees in Shanghai, Guangdong, and Jiangsu surpassed 0.6. During the same period, the central and western regions also showed improvement, with values increasing from 0.35 to 0.50. By 2022, the CCD had significantly increased across all regions, although notable regional differences remained. In the central region, most provinces had coordination values between 0.4 and 0.6. In the western region, values ranged from 0.5 to 0.7. In the eastern region, most provinces recorded values between 0.6 and 0.9.</p>
</sec>
<sec id="sec26">
<label>5.2.2</label>
<title>Characteristics of coupling coordination degree type changes</title>
<p>As shown in <xref ref-type="fig" rid="fig4">Figure 4</xref>, the relationship between the digital economy and CLUE in China exhibited a steady and positive growth trend from 2014 to 2022. Based on CCD levels, the study period can be divided into two distinct stages. In the first stage, from 2014 to 2018, the CCD rose from 0.341 to 0.483, progressing from the mild disorder stage to the imminent disorder stage. A key characteristic of this phase was a marked decline in the proportion of serious disorder, the initial emergence of benign coordination, and a gradual increase in the share of basic coordination. However, overall coordination remained limited, largely due to underdeveloped digital infrastructure and a shortage of skilled digital technology professionals during the early development phase. In the second stage, from 2019 to 2022, the CCD increased significantly from 0.523 to 0.621, reaching the benign coordination stage. During this period, serious disorder was eliminated, mild disorder declined sharply, and benign coordination became the dominant state. This transformation can be attributed to the Chinese government&#x2019;s 2020 policy to accelerate digital development, promote the construction of a digital China, and advance smart agriculture and digital rural development. In this context, the digital transformation and upgrading of traditional agricultural sectors, along with the widespread adoption of agricultural machinery, significantly enhanced productivity and further improved the coupling coordination between the digital economy and CLUE.</p>
<fig position="float" id="fig4">
<label>Figure 4</label>
<caption>
<p>The coupling coordination degree type proportion relationship of China from 2014 to 2022.</p>
</caption>
<graphic xlink:href="fsufs-09-1617727-g004.tif">
<alt-text content-type="machine-generated">Stacked bar chart showing percentages of five categories from 2014 to 2022: Serious disorder, Mild disorder, Imminent disorder, Basic coordination, and Benign coordination. Over the years, serious and mild disorders decrease, while benign coordination increases significantly.</alt-text>
</graphic>
</fig>
</sec>
</sec>
<sec id="sec27">
<label>5.3</label>
<title>Spatial distribution pattern of coupling coordination degree</title>
<sec id="sec28">
<label>5.3.1</label>
<title>Spatial distribution characteristics</title>
<p>From the temporal variation of the CCD, it is evident that in 2014, 2018, and 2022, China as a whole was in different stages of coordinated development. These years were selected as characteristic points for visualization analysis using ArcGIS 10.8.1, as shown in <xref ref-type="fig" rid="fig5">Figure 5</xref>. Throughout the study period, a distinct spatial differentiation pattern was visible in the CCD between China&#x2019;s digital economy and CLUE. In 2018, a &#x201C;multi-core&#x201D; growth pole, centered around Guangdong, Shanghai, and Jiangsu&#x2014;three provinces with benign coordination&#x2014;radiated outward, driving the expansion of the coastal eastern region toward the inland central region. This ultimately formed a development pattern of &#x201C;eastern lead, central moderate, and western rise.&#x201D; Even though the coordination in the west and center of the country got better across the research, these areas still faced problems like uneven policy support, limited benefits from technological advancements, and basic industrial setups. As a result, the digital economy and CLUE failed to interact benignly, and a gap remained compared to the eastern region. Although regional disparities remained, the nation&#x2019;s overall CCD had significantly improved by 2022. The eastern and some central areas were home to the majority of the high-coordination provinces. In 2014, 57.8% of provinces in the central and western regions were in a state of serious disorder. By 2022, the coordination types in these areas gradually shifted to basic coordination, with provinces such as Sichuan, Henan, Hubei, Guizhou, Chongqing, and Shaanxi improving to a benign coordination state.</p>
<fig position="float" id="fig5">
<label>Figure 5</label>
<caption>
<p>Spatial distribution characteristics of coupling coordination degree in 2014, 2018, and 2022.</p>
</caption>
<graphic xlink:href="fsufs-09-1617727-g005.tif">
<alt-text content-type="machine-generated">Three maps of China from 2014, 2018, and 2022 show regional data using color gradients. The colors range from light yellow (0.01-0.30) to dark blue (0.61-1.00). Over time, more regions change to darker shades, indicating increasing values. Some areas show no data. A scale bar indicates distances of zero to two thousand kilometers.</alt-text>
</graphic>
</fig>
</sec>
<sec id="sec29">
<label>5.3.2</label>
<title>Spatial agglomeration characteristics</title>
<p>This study uses Stata 17.0 to calculate the global Moran&#x2019;s index of the CCD for the period from 2014 to 2022. As shown in <xref ref-type="table" rid="tab6">Table 6</xref>, all estimated values of the Moran&#x2019;s index are positive. In 2018, the <italic>p</italic>-value is greater than 0.05, indicating that the result is not statistically significant. In contrast, the <italic>p</italic>-values for the other years are all less than 0.05, suggesting statistically significant spatial autocorrelation. These results indicate that provinces with similar levels of coupling coordination, whether high or low, tend to cluster spatially. Moreover, the global Moran&#x2019;s index follows a generally upward trend, rising from 0.0960 in 2014 to 0.1418 in 2022. This pattern shows that the spatial agglomeration of the CCD has gradually intensified over time.</p>
<table-wrap position="float" id="tab6">
<label>Table 6</label>
<caption>
<p>Moran&#x2019;s index from 2014 to 2022.</p>
</caption>
<table frame="hsides" rules="groups">
<thead>
<tr>
<th align="left" valign="top">Year</th>
<th align="center" valign="top">Moran&#x2019;s I</th>
<th align="center" valign="top"><italic>Z</italic></th>
<th align="center" valign="top"><italic>P</italic>-value</th>
</tr>
</thead>
<tbody>
<tr>
<td align="left" valign="top">2014</td>
<td align="center" valign="top">0.0960</td>
<td align="center" valign="top">2.0781</td>
<td align="center" valign="top">0.0377</td>
</tr>
<tr>
<td align="left" valign="top">2015</td>
<td align="center" valign="top">0.1219</td>
<td align="center" valign="top">2.4968</td>
<td align="center" valign="top">0.0125</td>
</tr>
<tr>
<td align="left" valign="top">2016</td>
<td align="center" valign="top">0.1196</td>
<td align="center" valign="top">2.4252</td>
<td align="center" valign="top">0.0153</td>
</tr>
<tr>
<td align="left" valign="top">2017</td>
<td align="center" valign="top">0.1023</td>
<td align="center" valign="top">2.1554</td>
<td align="center" valign="top">0.0311</td>
</tr>
<tr>
<td align="left" valign="top">2018</td>
<td align="center" valign="top">0.0781</td>
<td align="center" valign="top">1.7986</td>
<td align="center" valign="top">0.0721</td>
</tr>
<tr>
<td align="left" valign="top">2019</td>
<td align="center" valign="top">0.0902</td>
<td align="center" valign="top">1.9885</td>
<td align="center" valign="top">0.0468</td>
</tr>
<tr>
<td align="left" valign="top">2020</td>
<td align="center" valign="top">0.1103</td>
<td align="center" valign="top">2.3308</td>
<td align="center" valign="top">0.0198</td>
</tr>
<tr>
<td align="left" valign="top">2021</td>
<td align="center" valign="top">0.1302</td>
<td align="center" valign="top">2.6097</td>
<td align="center" valign="top">0.0091</td>
</tr>
<tr>
<td align="left" valign="top">2022</td>
<td align="center" valign="top">0.1418</td>
<td align="center" valign="top">2.8085</td>
<td align="center" valign="top">0.0050</td>
</tr>
</tbody>
</table>
</table-wrap>
<p>Using the economic geographic distance matrix, the local Moran index for 2014 and 2022 was calculated, and the local Moran scatter plots for these key years were generated. As illustrated in <xref ref-type="fig" rid="fig6">Figure 6</xref>, the &#x201C;high-high&#x201D; (HH) areas in the first quadrant and the &#x201C;low-low&#x201D; (LL) areas in the third quadrant are the main patterns of how the digital economy and CLUE are connected, and this connection remains fairly stable over time. The &#x201C;High-High&#x201D; (HH) type agglomeration areas in the first quadrant are mainly concentrated in the central and eastern regions, indicating that the provinces in these areas have strong spillover effects and act as important growth poles driving coordinated development in other regions. On the other hand, provinces in the western regions mostly appear in the &#x201C;Low-Low&#x201D; (LL) type agglomeration areas in the third quadrant. The number of provinces exhibiting the &#x201C;Low-High&#x201D; (LH) and &#x201C;High-Low&#x201D; (HL) clustering patterns is small and dispersed across different regions, suggesting weaker spatial heterogeneity in these areas. Ultimately, a spatial association pattern with &#x201C;homogeneous features as the main characteristic and heterogeneous features as the supplementary&#x201D; is formed. However, among the four spatial correlation patterns, the majority of provinces fall under the &#x201C;Low-Low&#x201D; (LL) type homogeneous agglomeration pattern in the third quadrant.</p>
<fig position="float" id="fig6">
<label>Figure 6</label>
<caption>
<p>2014 and 2022 local Moran scatter plots. Eastern: 1, 4, 7, 10, 12, 15, 17, 19, 20, 24, 26. Central: 5, 9, 11, 16, 18, 21, 22, 30. Western: 2, 3, 6, 8, 13, 14, 23, 25, 27, 28, 29.</p>
</caption>
<graphic xlink:href="fsufs-09-1617727-g006.tif">
<alt-text content-type="machine-generated">Two Moran scatterplots compare spatial autocorrelation for 2014 and 2022. The 2014 plot shows a Moran's I of 0.0960 with a p-value of 0.0377, while the 2022 plot shows a Moran's I of 0.1418 with a p-value of 0.0050. Each scatterplot displays data points along quadrants with fitted lines, indicating the spatial relationship.</alt-text>
</graphic>
</fig>
</sec>
</sec>
<sec id="sec30">
<label>5.4</label>
<title>Spatial differences in coupling coordination degree</title>
<sec id="sec31">
<label>5.4.1</label>
<title>Intra-regional differences</title>
<p><xref ref-type="fig" rid="fig7">Figure 7a</xref> illustrates that from 2014 to 2022, the Gini coefficient of regional coupling coordination exhibited a declining trend, indicating that disparities in internal coupling coordination levels across regions have gradually narrowed. The average Gini coefficient in the central region was lower than that in the eastern region, which in turn was lower than that in the western region. This suggests that the central provinces exhibited less variation in coordination development than the eastern region, while the western region showed the most pronounced disparities. Notably, the central region experienced the largest decrease in intra-regional differences, with its Gini coefficient declining from 0.173 in 2014 to 0.076 in 2022, marking a 56.07 percent reduction.</p>
<fig position="float" id="fig7">
<label>Figure 7</label>
<caption>
<p>Intra-regional differences, inter-regional differences, and their contribution rates for each region from 2014 to 2022. <bold>(a)&#x2013;(b)</bold> merely sorts the images and has no special.</p>
</caption>
<graphic xlink:href="fsufs-09-1617727-g007.tif">
<alt-text content-type="machine-generated">Three graphs analyzing regional contributions from 2014 to 2022. (a) Line graph showing intra-regional differences nationwide and by Central, Eastern, and Western regions. (b) Line graph depicting inter-regional differences between Eastern-Central, Eastern-Western, and Western-Central regions. (c) Stacked bar chart illustrating contribution rates by hypervariable density, intraregional, and interregional factors.</alt-text>
</graphic>
</fig>
<p>These differences reflect imbalances in technological innovation, economic development, and other structural factors among provinces during the promotion of the digital economy and the enhancement of CLUE. The implementation of the Central Region Revitalization Plan in 2016 provided targeted policy support, leading to industrial upgrading, improved infrastructure connectivity, and the integration of underdeveloped areas into broader regional economic systems. These initiatives significantly fostered coordinated development across eastern, central, and western regions, thereby narrowing the internal development gap within the central region.</p>
</sec>
<sec id="sec32">
<label>5.4.2</label>
<title>Inter-regional differences</title>
<p>As illustrated in <xref ref-type="fig" rid="fig7">Figure 7b</xref>, inter-regional differences generally declined over time; however, disparities between the eastern and western regions have gradually widened since 2019. The average Gini coefficient between the eastern and western regions is 0.138, which is higher than the national average and thus warrants special attention. These differences may stem from uneven development in economic capacity, capital accumulation, and technological progress. The eastern region benefits from geographic advantages such as flat terrain and access to international trade through major ports, making it a hub for industrial clustering and global commerce. Foreign investment and advanced technologies are highly concentrated in this region, enabling the transformation of western natural resources into high value-added products through technological upgrading. This dynamic has created a pattern of &#x201C;resource transfer westward, profit flow eastward,&#x201D; which has also contributed to labor siphoning from the west to the east. As a result, technological talent has continuously migrated eastward, slowing the western region&#x2019;s progress in digital economy development and CLUE.</p>
</sec>
<sec id="sec33">
<label>5.4.3</label>
<title>Sources and contributions of differences</title>
<p><xref ref-type="fig" rid="fig7">Figure 7c</xref> reveals that inter-regional differences have consistently contributed the most to the total Gini coefficient, maintaining a dominant share of approximately 47%. In contrast, intra-regional differences remain relatively stable, typically ranging between 27 and 30%. Additionally, the declining contribution rate of hypervariable density suggests that developmental disparities among provinces are gradually narrowing. Given that inter-regional discrepancies represent the largest share of overall inequality, future efforts to address spatial imbalances in the coupling coordination between the digital economy and CLUE should prioritize narrowing regional gaps.</p>
</sec>
</sec>
<sec id="sec34">
<label>5.5</label>
<title>Dynamic evolution trend of coupling coordination degree</title>
<p>Spatial correlation analysis reveals a significant spatial relationship in the evolution of the CCD between the digital economy and CLUE. To further investigate the dynamic evolution of CCD under spatial interactions, this study constructs a spatial Markov chain model. Based on the classification criteria previously presented (<xref ref-type="table" rid="tab3">Table 3</xref>), CCD is divided into five categories: severe disorder (0.0&#x2013;0.3), mild disorder (0.3&#x2013;0.4), imminent disorder (0.4&#x2013;0.5), basic coordination (0.5&#x2013;0.6), and benign coordination (0.6&#x2013;1). These five states are denoted by <italic>k</italic>&#x202F;=&#x202F;1, 2, 3, 4, 5, where a higher value of k indicates a higher level of coupling coordination (<xref ref-type="bibr" rid="ref20">Liu et al., 2018</xref>).</p>
<p>Excluding spatial factors, the dynamic evolution of the CCD between the digital economy and CLUE is presented in <xref ref-type="table" rid="tab7">Table 7</xref>. The analysis reveals the following key characteristics: First, the CCD exhibits a strong &#x201C;state-locking&#x201D; effect, as the diagonal elements in the transition matrix are consistently higher than the off-diagonal elements. This indicates a high probability that regions will remain in their current coordination state. The highest retention probabilities are observed in the categories of severe disorder (62.86%), basic coordination (68.42%), and benign coordination (100%), reflecting a tendency for stability in these states. Moreover, the CCD shows a clear upward convergence trend, consistent with the &#x201C;club convergence&#x201D; phenomenon, where regions tend to cluster at higher coordination levels. Second, upward transitions are more likely than downward ones, as evidenced by the higher probabilities above the diagonal. This pattern underscores the positive momentum in the coordinated development of CLUE and the digital economy in China. Finally, all transitions occur between adjacent states, with no observed leapfrog transitions across non-adjacent categories. This indicates that the progression in coupling coordination occurs gradually rather than through abrupt shifts.</p>
<table-wrap position="float" id="tab7">
<label>Table 7</label>
<caption>
<p>2014&#x2013;2022 coupling coordination degree transition probability matrix.</p>
</caption>
<table frame="hsides" rules="groups">
<thead>
<tr>
<th align="left" valign="top">Type</th>
<th align="center" valign="top">Lag type</th>
<th align="center" valign="top"><italic>t</italic>/(<italic>t</italic>&#x202F;+&#x202F;1)</th>
<th align="center" valign="top">1</th>
<th align="center" valign="top">2</th>
<th align="center" valign="top">3</th>
<th align="center" valign="top">4</th>
<th align="center" valign="top">5</th>
</tr>
</thead>
<tbody>
<tr>
<td align="left" valign="top" rowspan="5">Traditional</td>
<td align="center" valign="top" rowspan="5">No lag</td>
<td align="center" valign="top">1</td>
<td align="center" valign="top">0.6286</td>
<td align="center" valign="top">0.3714</td>
<td align="center" valign="top">0.0000</td>
<td align="center" valign="top">0.0000</td>
<td align="center" valign="top">0.0000</td>
</tr>
<tr>
<td align="center" valign="top">2</td>
<td align="center" valign="top">0.0000</td>
<td align="center" valign="top">0.5532</td>
<td align="center" valign="top">0.4468</td>
<td align="center" valign="top">0.0000</td>
<td align="center" valign="top">0.0000</td>
</tr>
<tr>
<td align="center" valign="top">3</td>
<td align="center" valign="top">0.0000</td>
<td align="center" valign="top">0.0145</td>
<td align="center" valign="top">0.6232</td>
<td align="center" valign="top">0.3623</td>
<td align="center" valign="top">0.0000</td>
</tr>
<tr>
<td align="center" valign="top">4</td>
<td align="center" valign="top">0.0000</td>
<td align="center" valign="top">0.0000</td>
<td align="center" valign="top">0.0526</td>
<td align="center" valign="top">0.6842</td>
<td align="center" valign="top">0.2632</td>
</tr>
<tr>
<td align="center" valign="top">5</td>
<td align="center" valign="top">0.0000</td>
<td align="center" valign="top">0.0000</td>
<td align="center" valign="top">0.0000</td>
<td align="center" valign="top">0.0000</td>
<td align="center" valign="top">1.0000</td>
</tr>
<tr>
<td align="left" valign="top" rowspan="25">Spatial</td>
<td align="center" valign="top" rowspan="5">1</td>
<td align="center" valign="top">1</td>
<td align="center" valign="top">0.0000</td>
<td align="center" valign="top">0.0000</td>
<td align="center" valign="top">0.0000</td>
<td align="center" valign="top">0.0000</td>
<td align="center" valign="top">0.0000</td>
</tr>
<tr>
<td align="center" valign="top">2</td>
<td align="center" valign="top">0.0000</td>
<td align="center" valign="top">1.0000</td>
<td align="center" valign="top">0.0000</td>
<td align="center" valign="top">0.0000</td>
<td align="center" valign="top">0.0000</td>
</tr>
<tr>
<td align="center" valign="top">3</td>
<td align="center" valign="top">0.0000</td>
<td align="center" valign="top">0.0000</td>
<td align="center" valign="top">0.0000</td>
<td align="center" valign="top">0.0000</td>
<td align="center" valign="top">0.0000</td>
</tr>
<tr>
<td align="center" valign="top">4</td>
<td align="center" valign="top">0.0000</td>
<td align="center" valign="top">0.0000</td>
<td align="center" valign="top">0.0000</td>
<td align="center" valign="top">0.0000</td>
<td align="center" valign="top">0.0000</td>
</tr>
<tr>
<td align="center" valign="top">5</td>
<td align="center" valign="top">0.0000</td>
<td align="center" valign="top">0.0000</td>
<td align="center" valign="top">0.0000</td>
<td align="center" valign="top">0.0000</td>
<td align="center" valign="top">0.0000</td>
</tr>
<tr>
<td align="center" valign="top" rowspan="5">2</td>
<td align="center" valign="top">1</td>
<td align="center" valign="top">0.6897</td>
<td align="center" valign="top">0.3103</td>
<td align="center" valign="top">0.0000</td>
<td align="center" valign="top">0.0000</td>
<td align="center" valign="top">0.0000</td>
</tr>
<tr>
<td align="center" valign="top">2</td>
<td align="center" valign="top">0.0000</td>
<td align="center" valign="top">0.4737</td>
<td align="center" valign="top">0.5263</td>
<td align="center" valign="top">0.0000</td>
<td align="center" valign="top">0.0000</td>
</tr>
<tr>
<td align="center" valign="top">3</td>
<td align="center" valign="top">0.0000</td>
<td align="center" valign="top">0.0400</td>
<td align="center" valign="top">0.6400</td>
<td align="center" valign="top">0.3200</td>
<td align="center" valign="top">0.0000</td>
</tr>
<tr>
<td align="center" valign="top">4</td>
<td align="center" valign="top">0.0000</td>
<td align="center" valign="top">0.0000</td>
<td align="center" valign="top">0.1111</td>
<td align="center" valign="top">0.7778</td>
<td align="center" valign="top">0.1111</td>
</tr>
<tr>
<td align="center" valign="top">5</td>
<td align="center" valign="top">0.0000</td>
<td align="center" valign="top">0.0000</td>
<td align="center" valign="top">0.0000</td>
<td align="center" valign="top">0.0000</td>
<td align="center" valign="top">0.0000</td>
</tr>
<tr>
<td align="center" valign="top" rowspan="5">3</td>
<td align="center" valign="top">1</td>
<td align="center" valign="top">0.3333</td>
<td align="center" valign="top">0.6667</td>
<td align="center" valign="top">0.0000</td>
<td align="center" valign="top">0.0000</td>
<td align="center" valign="top">0.0000</td>
</tr>
<tr>
<td align="center" valign="top">2</td>
<td align="center" valign="top">0.0000</td>
<td align="center" valign="top">0.6000</td>
<td align="center" valign="top">0.4000</td>
<td align="center" valign="top">0.0000</td>
<td align="center" valign="top">0.0000</td>
</tr>
<tr>
<td align="center" valign="top">3</td>
<td align="center" valign="top">0.0000</td>
<td align="center" valign="top">0.0000</td>
<td align="center" valign="top">0.5263</td>
<td align="center" valign="top">0.4737</td>
<td align="center" valign="top">0.0000</td>
</tr>
<tr>
<td align="center" valign="top">4</td>
<td align="center" valign="top">0.0000</td>
<td align="center" valign="top">0.0000</td>
<td align="center" valign="top">0.0000</td>
<td align="center" valign="top">0.7143</td>
<td align="center" valign="top">0.2857</td>
</tr>
<tr>
<td align="center" valign="top">5</td>
<td align="center" valign="top">0.0000</td>
<td align="center" valign="top">0.0000</td>
<td align="center" valign="top">0.0000</td>
<td align="center" valign="top">0.0000</td>
<td align="center" valign="top">1.0000</td>
</tr>
<tr>
<td align="center" valign="top" rowspan="5">4</td>
<td align="center" valign="top">1</td>
<td align="center" valign="top">0.0000</td>
<td align="center" valign="top">0.0000</td>
<td align="center" valign="top">0.0000</td>
<td align="center" valign="top">0.0000</td>
<td align="center" valign="top">0.0000</td>
</tr>
<tr>
<td align="center" valign="top">2</td>
<td align="center" valign="top">0.0000</td>
<td align="center" valign="top">0.4444</td>
<td align="center" valign="top">0.5556</td>
<td align="center" valign="top">0.0000</td>
<td align="center" valign="top">0.0000</td>
</tr>
<tr>
<td align="center" valign="top">3</td>
<td align="center" valign="top">0.0000</td>
<td align="center" valign="top">0.0000</td>
<td align="center" valign="top">0.6957</td>
<td align="center" valign="top">0.3043</td>
<td align="center" valign="top">0.0000</td>
</tr>
<tr>
<td align="center" valign="top">4</td>
<td align="center" valign="top">0.0000</td>
<td align="center" valign="top">0.0000</td>
<td align="center" valign="top">0.0833</td>
<td align="center" valign="top">0.5833</td>
<td align="center" valign="top">0.3333</td>
</tr>
<tr>
<td align="center" valign="top">5</td>
<td align="center" valign="top">0.0000</td>
<td align="center" valign="top">0.0000</td>
<td align="center" valign="top">0.0000</td>
<td align="center" valign="top">0.0000</td>
<td align="center" valign="top">1.0000</td>
</tr>
<tr>
<td align="center" valign="top" rowspan="5">5</td>
<td align="center" valign="top">1</td>
<td align="center" valign="top">0.0000</td>
<td align="center" valign="top">0.0000</td>
<td align="center" valign="top">0.0000</td>
<td align="center" valign="top">0.0000</td>
<td align="center" valign="top">0.0000</td>
</tr>
<tr>
<td align="center" valign="top">2</td>
<td align="center" valign="top">0.0000</td>
<td align="center" valign="top">1.0000</td>
<td align="center" valign="top">0.0000</td>
<td align="center" valign="top">0.0000</td>
<td align="center" valign="top">0.0000</td>
</tr>
<tr>
<td align="center" valign="top">3</td>
<td align="center" valign="top">0.0000</td>
<td align="center" valign="top">0.0000</td>
<td align="center" valign="top">0.5000</td>
<td align="center" valign="top">0.5000</td>
<td align="center" valign="top">0.0000</td>
</tr>
<tr>
<td align="center" valign="top">4</td>
<td align="center" valign="top">0.0000</td>
<td align="center" valign="top">0.0000</td>
<td align="center" valign="top">0.0000</td>
<td align="center" valign="top">1.0000</td>
<td align="center" valign="top">0.0000</td>
</tr>
<tr>
<td align="center" valign="top">5</td>
<td align="center" valign="top">0.0000</td>
<td align="center" valign="top">0.0000</td>
<td align="center" valign="top">0.0000</td>
<td align="center" valign="top">0.0000</td>
<td align="center" valign="top">0.0000</td>
</tr>
</tbody>
</table>
</table-wrap>
<p>Considering Spatial Factors, as shown in <xref ref-type="table" rid="tab7">Table 7</xref>: First, under varying spatial lag types, the spatial Markov transition probabilities differ, suggesting that dynamic transitions in CCD are influenced by the coordination levels of neighboring regions. Second, the positive spatial spillover effects from adjacent regions are conditional. Specifically, when a region shares the same coordination level as its neighbors, the probability of transitioning to a higher state increases compared to scenarios without spatial considerations. This indicates that homogeneous regions are more likely to form effective collaborative networks, whereas heterogeneous regions may require tailored policy interventions. Consequently, inter-regional connectivity should be enhanced to facilitate the diffusion of best practices and technological innovations from more developed regions to less developed ones. Establishing a development framework where advanced regions support lagging areas can foster coordinated regional progress.</p>
</sec>
<sec id="sec35">
<label>5.6</label>
<title>Analysis of the driving factors of coupling coordination degree</title>
<sec id="sec36">
<label>5.6.1</label>
<title>Selection of driving factors</title>
<p>Several elements influence the degree of cooperation between China&#x2019;s digital economy and the efficiency of cultivated land use. Based on relevant studies, this paper takes the CCD as the dependent variable and analyzes the impact of five factors as independent variables: urbanization, economic level, industry structure, technological innovation level, and urban&#x2013;rural development gap, with the variable definitions provided in <xref ref-type="table" rid="tab8">Table 8</xref>. A multicollinearity test is performed on the driving factors to guarantee the independence of each variable and the dependability of the regression findings (<xref ref-type="bibr" rid="ref5">De La Puente Pacheco et al., 2025</xref>). Further analysis may be carried out as there is no multicollinearity among the variables, as indicated by the VIF of all driving factors being less than 10.</p>
<table-wrap position="float" id="tab8">
<label>Table 8</label>
<caption>
<p>The driving factors of coupling coordination degree.</p>
</caption>
<table frame="hsides" rules="groups">
<thead>
<tr>
<th align="left" valign="top">Variable</th>
<th align="center" valign="top">Symbol</th>
<th align="center" valign="top">VIF</th>
<th align="center" valign="top"><italic>N</italic></th>
</tr>
</thead>
<tbody>
<tr>
<td align="left" valign="top">Urbanization</td>
<td align="center" valign="top">Urb</td>
<td align="center" valign="top">5.55</td>
<td align="center" valign="top">270</td>
</tr>
<tr>
<td align="left" valign="top">Economic level</td>
<td align="center" valign="top">Eco</td>
<td align="center" valign="top">5.68</td>
<td align="center" valign="top">270</td>
</tr>
<tr>
<td align="left" valign="top">Industry structure</td>
<td align="center" valign="top">Ind</td>
<td align="center" valign="top">2.83</td>
<td align="center" valign="top">270</td>
</tr>
<tr>
<td align="left" valign="top">Technological innovation level</td>
<td align="center" valign="top">Tec</td>
<td align="center" valign="top">2.71</td>
<td align="center" valign="top">270</td>
</tr>
<tr>
<td align="left" valign="top">Urban&#x2013;rural development gap</td>
<td align="center" valign="top">Gap</td>
<td align="center" valign="top">1.66</td>
<td align="center" valign="top">270</td>
</tr>
</tbody>
</table>
</table-wrap>
</sec>
<sec id="sec37">
<label>5.6.2</label>
<title>Analysis of the driving factors</title>
<p>The driving factors of the CCD from 2014 to 2022 were examined by including the degree of coordination between China&#x2019;s digital economy and CLUE into a Tobit regression model with random effects panel using StataMP 17 software. The regression results are shown in <xref ref-type="table" rid="tab9">Table 9</xref>. As seen from <xref ref-type="table" rid="tab2">Table 2</xref>, there are significant differences among the various driving factors, with the degree of impact ranked as follows: urbanization &#x003E; technological innovation level &#x003E; economic level &#x003E; urban&#x2013;rural development gap &#x003E; industry structure.</p>
<table-wrap position="float" id="tab9">
<label>Table 9</label>
<caption>
<p>Regression results of driving factors.</p>
</caption>
<table frame="hsides" rules="groups">
<thead>
<tr>
<th align="left" valign="top">Variables</th>
<th align="center" valign="top">(1) Nationwide</th>
<th align="center" valign="top">(2) East</th>
<th align="center" valign="top">(3) Central</th>
<th align="center" valign="top">(4) West</th>
</tr>
</thead>
<tbody>
<tr>
<td align="left" valign="top" rowspan="2">Urb</td>
<td align="center" valign="top">1.2180&#x002A;&#x002A;&#x002A;</td>
<td align="center" valign="top">1.3136&#x002A;&#x002A;&#x002A;</td>
<td align="center" valign="top">0.6557</td>
<td align="center" valign="top">1.0107&#x002A;&#x002A;&#x002A;</td>
</tr>
<tr>
<td align="center" valign="top">(6.37)</td>
<td align="center" valign="top">(2.89)</td>
<td align="center" valign="top">(1.63)</td>
<td align="center" valign="top">(3.78)</td>
</tr>
<tr>
<td align="left" valign="top" rowspan="2">Eco</td>
<td align="center" valign="top">0.0184&#x002A;&#x002A;&#x002A;</td>
<td align="center" valign="top">0.0067</td>
<td align="center" valign="top">0.0360&#x002A;&#x002A;&#x002A;</td>
<td align="center" valign="top">0.0241&#x002A;&#x002A;&#x002A;</td>
</tr>
<tr>
<td align="center" valign="top">(4.76)</td>
<td align="center" valign="top">(1.00)</td>
<td align="center" valign="top">(4.12)</td>
<td align="center" valign="top">(2.78)</td>
</tr>
<tr>
<td align="left" valign="top" rowspan="2">Ind</td>
<td align="center" valign="top">&#x2212;0.2471&#x002A;</td>
<td align="center" valign="top">&#x2212;0.6740&#x002A;</td>
<td align="center" valign="top">&#x2212;0.4490&#x002A;&#x002A;</td>
<td align="center" valign="top">&#x2212;0.3590&#x002A;&#x002A;</td>
</tr>
<tr>
<td align="center" valign="top">(&#x2212;1.89)</td>
<td align="center" valign="top">(&#x2212;1.83)</td>
<td align="center" valign="top">(&#x2212;2.54)</td>
<td align="center" valign="top">(&#x2212;2.15)</td>
</tr>
<tr>
<td align="left" valign="top" rowspan="2">Tec</td>
<td align="center" valign="top">0.0326&#x002A;&#x002A;&#x002A;</td>
<td align="center" valign="top">0.0054&#x002A;&#x002A;&#x002A;</td>
<td align="center" valign="top">0.0006</td>
<td align="center" valign="top">0.0001</td>
</tr>
<tr>
<td align="center" valign="top">(5.16)</td>
<td align="center" valign="top">(4.95)</td>
<td align="center" valign="top">(0.70)</td>
<td align="center" valign="top">(0.06)</td>
</tr>
<tr>
<td align="left" valign="top" rowspan="2">Gap</td>
<td align="center" valign="top">&#x2212;0.1438&#x002A;&#x002A;&#x002A;</td>
<td align="center" valign="top">&#x2212;0.0927</td>
<td align="center" valign="top">&#x2212;0.1310&#x002A;</td>
<td align="center" valign="top">&#x2212;0.2134&#x002A;&#x002A;&#x002A;</td>
</tr>
<tr>
<td align="center" valign="top">(&#x2212;3.16)</td>
<td align="center" valign="top">(&#x2212;0.83)</td>
<td align="center" valign="top">(&#x2212;1.65)</td>
<td align="center" valign="top">(&#x2212;4.44)</td>
</tr>
<tr>
<td align="left" valign="top" rowspan="2">Sigma u</td>
<td align="center" valign="top">0.1900&#x002A;&#x002A;&#x002A;</td>
<td align="center" valign="top">0.2512&#x002A;&#x002A;&#x002A;</td>
<td align="center" valign="top">0.0560&#x002A;&#x002A;&#x002A;</td>
<td align="center" valign="top">0.1216&#x002A;&#x002A;&#x002A;</td>
</tr>
<tr>
<td align="center" valign="top">(7.28)</td>
<td align="center" valign="top">(4.01)</td>
<td align="center" valign="top">(3.11)</td>
<td align="center" valign="top">(4.44)</td>
</tr>
<tr>
<td align="left" valign="top" rowspan="2">sigma e</td>
<td align="center" valign="top">0.0403&#x002A;&#x002A;&#x002A;</td>
<td align="center" valign="top">0.0520&#x002A;&#x002A;&#x002A;</td>
<td align="center" valign="top">0.0259&#x002A;&#x002A;&#x002A;</td>
<td align="center" valign="top">0.0273&#x002A;&#x002A;&#x002A;</td>
</tr>
<tr>
<td align="center" valign="top">(21.75)</td>
<td align="center" valign="top">(12.98)</td>
<td align="center" valign="top">(10.93)</td>
<td align="center" valign="top">(13.18)</td>
</tr>
<tr>
<td align="left" valign="top" rowspan="2">Constant</td>
<td align="center" valign="top">0.0570</td>
<td align="center" valign="top">&#x2212;0.0097</td>
<td align="center" valign="top">0.4078</td>
<td align="center" valign="top">0.5304&#x002A;</td>
</tr>
<tr>
<td align="center" valign="top">(0.22)</td>
<td align="center" valign="top">(&#x2212;0.02)</td>
<td align="center" valign="top">(0.94)</td>
<td align="center" valign="top">(1.81)</td>
</tr>
<tr>
<td align="left" valign="top">Observations</td>
<td align="center" valign="top">270</td>
<td align="center" valign="top">99</td>
<td align="center" valign="top">72</td>
<td align="center" valign="top">99</td>
</tr>
</tbody>
</table>
<table-wrap-foot>
<p>The symbols &#x002A;, &#x002A;&#x002A;, and &#x002A;&#x002A;&#x002A; denote significance at the 10%, 5%, and 1% levels, respectively.</p>
</table-wrap-foot>
</table-wrap>
<p>Economic development, technological innovation, and urbanization have a positive impact on the coordination between China&#x2019;s digital economy and CLUE. The spatial concentration of population, capital, and technology during urbanization accelerates the spread of digital technologies into agriculture, promoting a shift from scattered to intensive land use. Around cities, cultivated land is consolidated into contiguous farming areas through reclamation and restoration efforts. This aggregation of production factors improves land use efficiency, reduces the cost of technology adoption, and promotes the widespread application of digital tools such as land monitoring systems and intelligent irrigation technologies. Technological innovation is the fundamental driving force. The development of smart agricultural equipment and the integration of digital technologies enhance the precision of land resource management. Agricultural big data platforms combine meteorological, soil, and market information to optimize crop rotation plans, reduce pollution from fertilizers and pesticides, improve soil quality, and increase land use efficiency. These improvements help resolve the traditional conflict between agricultural efficiency and environmental protection. Economic development provides the material foundation for digital research and application. Economically developed regions are more likely to invest in digital infrastructure and promote green technologies, thereby supporting the intensive and ecological transformation of cultivated land and facilitating the integration of digital technologies with land resources.</p>
<p>In contrast, the urban&#x2013;rural development gap and industrial structure negatively affect coordination. To enhance the synergy between the digital economy and land use efficiency, it is necessary to adjust the industrial structure and narrow urban&#x2013;rural disparities. The government should focus on guiding industries toward high value-added activities that enable the diffusion of digital capabilities into the agricultural sector, reshaping cultivated land use models. If the urban&#x2013;rural gap remains large, it may lead to the outflow of rural labor and capital, widen the technological divide, and concentrate public resources in urban areas. As a result, rural areas may become overly reliant on intensive land development to compensate for economic disadvantages, increasing ecological pressure and weakening ecosystems. Addressing these imbalances, promoting integrated urban and rural development, and improving the coordination between the digital economy and land use efficiency are essential for sustainable progress.</p>
</sec>
<sec id="sec38">
<label>5.6.3</label>
<title>Heterogeneity analysis</title>
<p>The driving characteristics of the CCD between the digital economy and CLUE in various areas are analyzed. <xref ref-type="table" rid="tab9">Table 9</xref> columns (2) through (4) display the findings. First, with values of &#x2212;0.6740, &#x2212;0.4490, and &#x2212;0.3590, respectively, the industry structure coefficients in the eastern, central, and western areas all passed the significance test, suggesting that the influence of industry structure varies by region. Second, urbanization has a significant impact on the eastern and western regions. This shows that urbanization promotes the efficient integration of the digital economy and agricultural resources through the concentration of population, capital, and technology in cities, thereby improving CLUE. Third, economic levels have a positive impact on the central and western regions. Economic growth can drive the development of the digital economy, thereby creating conditions for improving CLUE. Fourth, the urban&#x2013;rural development gap has a negative impact on central and western regions. The urban&#x2013;rural development gap leads to a long-term one-way flow of capital, technology, and talent toward cities, creating a digital divide. Rural areas lack digital infrastructure and talent, weakening the synergistic potential between the digital economy and farmland efficiency. Finally, technological innovation has a significant positive effect on the eastern region, but not on other regions. This shows that the eastern region may be more likely to convert science and technology into productivity and improve CLUE due to its high level of science and technology transformation. In contrast, the digital infrastructure level in the central and western regions is relatively backward, and the cost of technology diffusion is too high, thereby inhibiting and offsetting the promotional effect that technological innovation should have on the CCD.</p>
</sec>
</sec>
</sec>
<sec id="sec39">
<label>6</label>
<title>Conclusion and recommendations</title>
<sec id="sec40">
<label>6.1</label>
<title>Conclusion</title>
<p>The conclusions of this paper are as follows: (1) The development of the digital economy shows significant regional imbalance. The gap between the eastern region and the central and western regions continues to widen. In contrast, the improvement in CLUE is more obvious, with significant increases in CLUE values in all regions. Although there are still differences between regions, the overall situation is better than that of the digital economy. (2) The CCD between the digital economy and CLUE has steadily increased, but regional development imbalances remain significant. Provinces with high coordination are mainly concentrated in the eastern region and parts of the central region. For example, Guangdong, Shanghai, Hubei, and other provinces have surpassed Gansu, Qinghai, and other provinces in terms of development level. (3) The difference in the CCD between the digital economy and CLUE continues to narrow, with significant reductions in both intra-regional and inter-regional differences, but inter-regional differences remain the main source of regional differences. (4) The CCD aggregation characteristics are statistically significant. High-high aggregation areas are mainly concentrated in the eastern and central regions, while low-low aggregation areas are mainly in the western region. The local spatial correlation pattern is dominated by low-low aggregation, and the degree of aggregation is further increasing. (5) The coordination relationship between the digital economy and CLUE exhibits club convergence characteristics. Spatial Markov chains supplement the conclusions of traditional Markov analysis, indicating that changes in coordination status are also influenced by neighboring areas. (6) Urbanization, technological innovation, economic development, urban&#x2013;rural development gaps, and industrial structure have a significant impact on the CCD. Among these, economic development, technological innovation, and urbanization have a positive impact, while industrial structure and urban&#x2013;rural development have a negative impact. From the perspective of regional heterogeneity, industrial structure is always an important factor affecting the coordinated development of coupling, while the impact of other factors on the CCD varies across different regions.</p>
</sec>
<sec id="sec41">
<label>6.2</label>
<title>Recommendations</title>
<p>Based on the study&#x2019;s findings, the following measures are proposed to promote the coordinated development of China&#x2019;s digital economy and CLUE.</p>
<p>First, the &#x201C;Classified Guidance, Gradient Advancement&#x201D; regional development strategy should be implemented. The eastern region should prioritize technological innovation in the digital economy and the aggregation of high-end factors, while the central and western regions need to strengthen investments in digital infrastructure. Efforts should focus on expanding the coverage of foundational technologies such as the Agricultural Internet of Things (IoT) and remote sensing monitoring, exploring the integration of &#x201C;digital technology + specialty agriculture,&#x201D; and guiding the east-to-west diffusion of digital technologies to mitigate the geographical attenuation of technological spillovers.</p>
<p>Second, a digital agriculture collaborative development fund should be established to support the joint development of digital agriculture demonstration zones. This initiative should facilitate cross-regional flows of technology, capital, and land resources. High-coordination provinces should be encouraged to support low-coordination areas through technical hosting and talent exchange programs to reduce regional development disparities.</p>
<p>Third, adjustments and upgrades to the industrial structure should be promoted. Enterprises should be guided toward high-value-added emerging industries, shifting away from excessive land resource consumption and alleviating the ecological pressures associated with rapid industrialization and economic growth. Finally, the mutually reinforcing relationship between the digital economy and CLUE should be fully leveraged. The transition from traditional agriculture to digital agriculture and integrated sectors such as eco-agriculture and agri-tourism should be supported, fostering a virtuous cycle of &#x201C;advancing agriculture through digitalization and enhancing digitalization through agriculture.&#x201D;</p>
</sec>
<sec id="sec42">
<label>6.3</label>
<title>Limitations and outlook</title>
<p>This study has several limitations, despite offering valuable insights into the coupling and coordination between China&#x2019;s digital economy and CLUE.</p>
<p>First, although a range of statistical methods was employed, the construction of the indicator system involved numerous variables, making data collection challenging. To prevent data gaps from influencing the results, the analysis was limited to the period from 2014 to 2022. Future studies could extend the time span to enable more comprehensive evaluations.</p>
<p>Second, the study primarily relied on large-scale statistical data to assess the degree of synergy between the digital economy and CLUE. However, such data may not fully capture subtle interactions and underlying mechanisms. Future research could benefit from incorporating case studies and micro-level survey data.</p>
<p>Third, with the continued evolution of the digital economy, emerging technologies such as blockchain, artificial intelligence, and big data analytics may significantly reshape the relationship between digitalization and land use. Future studies should explore how these technological trends influence sustainable land use and agricultural modernization.</p>
<p>Finally, the current digital economy indicator system lacks agriculture-specific metrics. Future research should integrate agricultural digitalization indicators to more accurately analyze the relationship between agricultural digital transformation and land use efficiency.</p>
</sec>
</sec>
</body>
<back>
<sec sec-type="data-availability" id="sec43">
<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 sec-type="author-contributions" id="sec44">
<title>Author contributions</title>
<p>YaL: Writing &#x2013; review &#x0026; editing, Methodology, Conceptualization, Funding acquisition. WM: Writing &#x2013; original draft. YeL: Data curation, Writing &#x2013; original draft. LL: Writing &#x2013; review &#x0026; editing. YP: Writing &#x2013; review &#x0026; editing, Data curation, Supervision, Validation. JW: Writing &#x2013; review &#x0026; editing. YC: Funding acquisition, Writing &#x2013; review &#x0026; editing.</p>
</sec>
<sec sec-type="funding-information" id="sec45">
<title>Funding</title>
<p>The author(s) declare that no financial support was received for the research and/or publication of this article.</p>
</sec>
<sec sec-type="COI-statement" id="sec46">
<title>Conflict of interest</title>
<p>The authors declare that the research was conducted in the absence of any commercial or financial relationships that could be construed as a potential conflict of interest.</p>
</sec>
<sec sec-type="ai-statement" id="sec47">
<title>Generative AI statement</title>
<p>The authors declare that no Gen AI was used in the creation of this manuscript.</p>
</sec>
<sec sec-type="disclaimer" id="sec48">
<title>Publisher&#x2019;s note</title>
<p>All claims expressed in this article are solely those of the authors and do not necessarily represent those of their affiliated organizations, or those of the publisher, the editors and the reviewers. Any product that may be evaluated in this article, or claim that may be made by its manufacturer, is not guaranteed or endorsed by the publisher.</p>
</sec>
<fn-group>
<fn id="fn0001"><p><sup>1</sup>Shanghai, Beijing, Tianjin, Shandong, Guangdong, Jiangsu, Hebei, Zhejiang, Hainan, Fujian, Liaoning.</p></fn>
<fn id="fn0002"><p><sup>2</sup>Jilin, Anhui, Shanxi, Jiangxi, Henan, Hubei, Hunan, Heilongjiang.</p></fn>
<fn id="fn0003"><p><sup>3</sup>Yunnan, Inner Mongolia, Sichuan, Ningxia, Guangxi, Xinjiang, Gansu, Guizhou, Chongqing, Shaanxi, Qinghai.</p></fn>
</fn-group>
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