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<front>
<journal-meta>
<journal-id journal-id-type="publisher-id">Front. Public Health</journal-id>
<journal-title-group>
<journal-title>Frontiers in Public Health</journal-title>
<abbrev-journal-title abbrev-type="pubmed">Front. Public Health</abbrev-journal-title>
</journal-title-group>
<issn pub-type="epub">2296-2565</issn>
<publisher>
<publisher-name>Frontiers Media S.A.</publisher-name>
</publisher>
</journal-meta>
<article-meta>
<article-id pub-id-type="doi">10.3389/fpubh.2025.1649372</article-id><article-version article-version-type="Version of Record" vocab="NISO-RP-8-2008"/>
<article-categories>
<subj-group subj-group-type="heading"><subject>Original Research</subject></subj-group>
</article-categories>
<title-group>
<article-title>What kind of urban&#x2013;rural basic public services can affect the urban&#x2013;rural income gap?&#x2013;an analysis of FsQCA based on the TOE framework</article-title>
</title-group>
<contrib-group>
<contrib contrib-type="author">
<name>
<surname>He</surname>
<given-names>Qianqian</given-names>
</name>
<xref ref-type="aff" rid="aff1"><sup>1</sup></xref>
<uri xlink:href="https://loop.frontiersin.org/people/3104802"/>
<role vocab="credit" vocab-identifier="https://credit.niso.org/" vocab-term="methodology" vocab-term-identifier="https://credit.niso.org/contributor-roles/methodology/">Methodology</role>
<role vocab="credit" vocab-identifier="https://credit.niso.org/" vocab-term="Writing &#x2013; original draft" vocab-term-identifier="https://credit.niso.org/contributor-roles/writing-original-draft/">Writing &#x2013; original draft</role>
<role vocab="credit" vocab-identifier="https://credit.niso.org/" vocab-term="Data curation" vocab-term-identifier="https://credit.niso.org/contributor-roles/data-curation/">Data curation</role>
</contrib>
<contrib contrib-type="author" corresp="yes">
<name>
<surname>Dong</surname>
<given-names>Tiantian</given-names>
</name>
<xref ref-type="aff" rid="aff2"><sup>2</sup></xref>
<xref ref-type="corresp" rid="c001"><sup>&#x002A;</sup></xref>
<role vocab="credit" vocab-identifier="https://credit.niso.org/" vocab-term="Formal analysis" vocab-term-identifier="https://credit.niso.org/contributor-roles/formal-analysis/">Formal analysis</role>
<role vocab="credit" vocab-identifier="https://credit.niso.org/" vocab-term="conceptualization" vocab-term-identifier="https://credit.niso.org/contributor-roles/conceptualization/">Conceptualization</role>
<role vocab="credit" vocab-identifier="https://credit.niso.org/" vocab-term="Writing &#x2013; review &amp; editing" vocab-term-identifier="https://credit.niso.org/contributor-roles/writing-review-editing/">Writing &#x2013; review &#x0026; editing</role>
</contrib>
<contrib contrib-type="author">
<name>
<surname>Gadan</surname>
<given-names>Cairang</given-names>
</name>
<xref ref-type="aff" rid="aff1"><sup>1</sup></xref>
<role vocab="credit" vocab-identifier="https://credit.niso.org/" vocab-term="supervision" vocab-term-identifier="https://credit.niso.org/contributor-roles/supervision/">Supervision</role>
<role vocab="credit" vocab-identifier="https://credit.niso.org/" vocab-term="Writing &#x2013; review &amp; editing" vocab-term-identifier="https://credit.niso.org/contributor-roles/writing-review-editing/">Writing &#x2013; review &#x0026; editing</role>
</contrib>
</contrib-group>
<aff id="aff1"><label>1</label><institution>School of Economics and Management, Qinghai Normal University</institution>, <city>Xining</city>, <country country="cn">China</country></aff>
<aff id="aff2"><label>2</label><institution>Research Center for Integrated Development of Culture and Tourism, Sichuan Tourism University</institution>, <city>Chengdu</city>, <country country="cn">China</country></aff>
<author-notes><corresp id="c001"><label>&#x002A;</label>Correspondence: Tiantian Dong, <email xlink:href="mailto:dtiantian@163.com">dtiantian@163.com</email></corresp></author-notes>
<pub-date publication-format="electronic" date-type="pub" iso-8601-date="2025-11-06">
<day>06</day>
<month>11</month>
<year>2025</year>
</pub-date>
<pub-date publication-format="electronic" date-type="collection">
<year>2025</year>
</pub-date>
<volume>13</volume>
<elocation-id>1649372</elocation-id>
<history>
<date date-type="received">
<day>23</day>
<month>06</month>
<year>2025</year>
</date>
<date date-type="accepted">
<day>22</day>
<month>10</month>
<year>2025</year>
</date>
</history>
<permissions>
<copyright-statement>Copyright &#x00A9; 2025 He, Dong and Gadan.</copyright-statement>
<copyright-year>2025</copyright-year>
<copyright-holder>He, Dong and Gadan</copyright-holder>
<license><ali:license_ref start_date="2025-11-06">https://creativecommons.org/licenses/by/4.0/</ali:license_ref>
<license-p>This is an open-access article distributed under the terms of the <ext-link ext-link-type="uri" xlink:href="https://creativecommons.org/licenses/by/4.0/">Creative Commons Attribution License (CC BY)</ext-link>. The use, distribution or reproduction in other forums is permitted, provided the original author(s) and the copyright owner(s) are credited and that the original publication in this journal is cited, in accordance with accepted academic practice. No use, distribution or reproduction is permitted which does not comply with these terms.</license-p>
</license>
</permissions>
<abstract>
<sec id="sec1001">
<title>Introduction</title>
<p>The urban&#x2013;rural income gap and the non-equalization of basic public services constitute the core contradiction in China&#x2019;s urban&#x2013;rural development.</p>
</sec>
<sec id="sec2001">
<title>Methods</title>
<p>This study employs the fsQCA method based on the TOE framework to determine how technological, organizational, and environmental conditions collectively shape the urban&#x2013;rural income gap in China&#x2019;s Yangtze River Delta region.</p>
</sec>
<sec id="sec3001">
<title>Results</title>
<p>The findings reveal three distinct configurations of high income disparity and three distinct configurations of non-high income disparity, emphasizing that no single factor is indispensable. Rather, combinations are crucial. High-disparity configurations manifest through three divergent pathways: dual squeezes from fiscal constraints and lagging digital infrastructure; structural disconnect between economic growth and digitalization; and cyclical lock-in between low-level economies and public service shortages. Non-high-disparity configurations emerge via three equivalent pathways: factor rebalancing driven by high economic output; cross-regional coordination through institutional optimization and digital empowerment; and compensatory mechanisms based on fiscal resilience and governance innovation.</p>
</sec>
<sec id="sec4001">
<title>Discussion</title>
<p>The study offers recommendations for basic public service allocation across cities in China&#x2019;s three major regions, holding significant implications for the integrated urban&#x2013;rural development of China.</p>
</sec>
</abstract>
<kwd-group>
<kwd>urban&#x2013;rural basic public services</kwd>
<kwd>the urban&#x2013;rural income gap</kwd>
<kwd>fsQCA</kwd>
<kwd>configuration analysis</kwd>
<kwd>TOE framework</kwd>
</kwd-group><funding-group><funding-statement>The author(s) declare that financial support was received for the research and/or publication of this article. This study was conducted by the Social Science Foundation Project of Qinghai Province (grant number 23Y033), Chengdu Green and Low-carbon Development Research base (grant number LD2024Z23), The Sichuan Cuisine Development and Research Center (grant number CC23G01).</funding-statement></funding-group>
<counts>
<fig-count count="1"/>
<table-count count="5"/>
<equation-count count="1"/>
<ref-count count="58"/>
<page-count count="12"/>
<word-count count="10819"/>
</counts>
<custom-meta-group>
<custom-meta>
<meta-name>section-at-acceptance</meta-name>
<meta-value>Health Economics</meta-value>
</custom-meta>
</custom-meta-group>
</article-meta>
</front>
<body>
<sec sec-type="intro" id="sec1">
<label>1</label>
<title>Introduction</title>
<p>Uneven urban&#x2013;rural development is a common challenge faced by developing countries in the modernization process globally, with the deep connection between the urban&#x2013;rural income gap and the uneven distribution of basic public services being particularly prominent (<xref ref-type="bibr" rid="ref1">1</xref>). Reducing the urban&#x2013;rural income gap is an important factor in promoting globalization and achieving sustainable regional development, and enhancing the efficiency of public employment services is an effective means of achieving this goal (<xref ref-type="bibr" rid="ref2">2</xref>). In China, the dual household registration system rigidly binds access to public services to household status, creating institutional barriers for rural residents in areas such as education, healthcare, and social security (<xref ref-type="bibr" rid="ref3">3</xref>, <xref ref-type="bibr" rid="ref4">4</xref>). This structural imbalance exacerbates intergenerational poverty transmission through mechanisms such as insufficient human capital accumulation and labor market segmentation (<xref ref-type="bibr" rid="ref5">5</xref>, <xref ref-type="bibr" rid="ref6">6</xref>). With the continued promotion of the rural revitalization strategy, household registration system reform, and other policies, the ratio of disposable income per capita of urban and rural residents will be 2.34 in 2024, down from 2.39 in 2023, a change that reflects the trend of improvement in the pattern of income distribution in China, and the absolute gap between urban and rural incomes is continuing to narrow. However, China&#x2019;s urban&#x2013;rural income gap is still in the risk range of 2.0&#x2013;2.5, which is at the middle to low level globally, and the problem of uneven income distribution between urban and rural areas is still relatively prominent.</p>
<p>The widening urban&#x2013;rural income gap is essentially an economic mapping of the imbalance in the distribution of public services. Insufficient investment in early education directly constrains the rural labor force from moving to higher-skilled positions (<xref ref-type="bibr" rid="ref7">7</xref>, <xref ref-type="bibr" rid="ref8">8</xref>), while the urban&#x2013;rural split in social security further amplifies market risks (<xref ref-type="bibr" rid="ref9">9</xref>). Policies in developing countries on promoting balanced regional economic development mainly support infrastructure investment and economic development in less developed regions (<xref ref-type="bibr" rid="ref10">10</xref>).</p>
<p>Existing studies have mostly focused on the linear effects of single dimensions such as education investment, social security level, or industrial structure (<xref ref-type="bibr" rid="ref11">11</xref>, <xref ref-type="bibr" rid="ref27">27</xref>). However, the equalization of public services is essentially a systematic project that involves the synergistic effects of technology application, organizational governance, and the external environment (<xref ref-type="bibr" rid="ref12">12</xref>). The TOE framework was proposed by Tornatzky &#x0026; Fleischer (<xref ref-type="bibr" rid="ref13">13</xref>), and its core lies in summarizing the factors affecting organizational behaviors and technological adoption into the three types of systematic conditions&#x2013;technological, organizational, and environmental&#x2013;and emphasizing the interaction mechanism among the three. The framework integrates the diffusion of innovation theory and the technology acceptance model (<xref ref-type="bibr" rid="ref14">14</xref>) and has been widely used in the fields of technology adoption, digital transformation, and other management research because it can analyze complex organizational phenomena from a multilevel dimension (<xref ref-type="bibr" rid="ref15">15</xref>, <xref ref-type="bibr" rid="ref16">16</xref>).</p>
<p>The practice of cross-regional governance innovation and digital technology application in the Yangtze River Delta region provides a typical scenario for exploring the group effect of multiple conditions. Traditional measurement methods are limited by linear assumptions, making it difficult to capture &#x201C;multiple concurrent causal&#x201D; relationships, while fuzzy set qualitative comparative analysis (fsQCA) is able to identify the combinatorial effects of conditioned variables and reveal asymmetric causal pathways (<xref ref-type="bibr" rid="ref17">17</xref>, <xref ref-type="bibr" rid="ref18">18</xref>), which is highly compatible with the TOE framework&#x2019;s emphasis on the interaction of technological, organizational, and environmental conditions (<xref ref-type="bibr" rid="ref19">19</xref>). Therefore, combining the TOE framework with fsQCA helps to systematically analyze the synergistic or substitution effects of multiple factors in the allocation of basic public services in urban and rural areas and breaks through the limitations of traditional single-factor analysis.</p>
<p>Taking the Yangtze River Delta (YRD) urban agglomeration as the study area, this study utilizes the fsQCA methodology to explore the complex association between urban&#x2013;rural basic public service allocation and income disparity based on the TOE framework, with the aim of answering the following questions: First, which core elements of urban&#x2013;rural basic public services have a significant impact on urban&#x2013;rural income disparity? Second, are there multiple paths of urban&#x2013;rural basic public service combinations that can affect the urban&#x2013;rural income gap? The urban agglomeration of the Yangtze River Delta (YRD) combines a gradient difference in economic development with an early advantage in institutional innovation, which makes the YRD cities an ideal region to study the configuration effects of the urban&#x2013;rural gap, not only to verify the &#x201C;trickle-down effect&#x201D; of the external environment on the income gap, but also to examine the substitution mechanism of the financial constraints imposed by the organizational and technological conditions (<xref ref-type="bibr" rid="ref20">20</xref>).</p>
<p>This study breaks through the traditional single-factor analysis framework and reveals the &#x201C;group dependence&#x201D; of the urban&#x2013;rural income gap from the perspective of the TOE framework, aiming at proving that the balanced development of urban and rural areas does not only depend on the strength of a single policy instrument but also depends on the synergistic or substitution effects of technical, organizational, and environmental conditions. By placing urban&#x2013;rural basic public services in the TOE framework for group analysis, this study provides a new theoretical perspective for urban&#x2013;rural income disparity research, which not only enriches the multidimensional analytical framework for urban&#x2013;rural disparity, research but also provides &#x201C;group optimization&#x201D; ideas for the deepening of the integration strategy of the Yangtze River Delta.</p>
</sec>
<sec id="sec2">
<label>2</label>
<title>Literature review and theoretical background</title>
<sec id="sec3">
<label>2.1</label>
<title>Basic public services in urban and rural areas</title>
<p>As a core component of social policy, urban and rural basic public services refer to government-led provision of basic services directly related to the right to survival and development of urban and rural residents, covering such areas as education, health care, social security, infrastructure, public health, etc. (<xref ref-type="bibr" rid="ref4">4</xref>, <xref ref-type="bibr" rid="ref21">21</xref>). Its essence is to guarantee the basic rights of citizens through its organizational conditions; however, in developing countries affected by the dual economic structure and institutional barriers, the non-equalization of basic public services in urban and rural areas has become a prominent problem (<xref ref-type="bibr" rid="ref1">1</xref>).</p>
<p>In China, the distribution of basic public services between urban and rural areas is constrained by institutional factors. It links public identity to access to public services, forming a &#x201C;rural&#x2013;urban&#x201D; dichotomy (<xref ref-type="bibr" rid="ref22">22</xref>). This manifests in rural residents being excluded from urban public service systems even after prolonged urban employment. Rural migrant workers can only enroll in the New Rural Cooperative Medical Scheme (NRCCM) at their place of residence, where hospitalization reimbursement rates are significantly lower than those under the basic medical insurance for urban employees (<xref ref-type="bibr" rid="ref23">23</xref>).</p>
<p>Under the TOE framework perspective, the essence of urban&#x2013;rural basic public services is a comprehensive reflection of organizational, environmental, and technological conditions. Government governance needs to integrate various tools such as finance, land, and industry, and the non-equalization of urban and rural public services in China exposes the dual deficiencies of governance capacity and financial capacity (<xref ref-type="bibr" rid="ref12">12</xref>). Existing research also reveals that there are significant differences in the &#x201C;soft&#x201D; and &#x201C;hard&#x201D; structures of public services. &#x201C;Soft&#x201D; public services (education, healthcare, social security) have a much higher moderating effect on income disparity than &#x201C;hard&#x201D; public services (infrastructure) (<xref ref-type="bibr" rid="ref24">24</xref>). Differential investment in early education has the highest contribution to income disparity in China, and subsidizing early education is seen as the most effective policy (<xref ref-type="bibr" rid="ref8">8</xref>), while insufficient investment in education in rural areas directly constrains the accumulation of human capital and creates a cycle of intergenerational poverty (<xref ref-type="bibr" rid="ref5">5</xref>, <xref ref-type="bibr" rid="ref6">6</xref>).</p>
<p>In summary, the disparity in basic public services between urban and rural areas stems from the combined effects of government governance, economic development, and technological innovation. Addressing this challenge requires focusing on organizational conditions within the TOE framework, such as optimizing fiscal transfer mechanisms and enhancing local governments&#x2019; collaborative governance capabilities (<xref ref-type="bibr" rid="ref20">20</xref>, <xref ref-type="bibr" rid="ref25">25</xref>). These theoretical studies provide a research framework for analyzing urban&#x2013;rural income disparities and lay the theoretical foundation for this study&#x2019;s exploration of pathways for public service grouping.</p>
</sec>
<sec id="sec4">
<label>2.2</label>
<title>Urban&#x2013;rural income gap</title>
<p>The urban&#x2013;rural income gap is a concentrated manifestation of structural contradictions in developing countries. In China, this gap shows typical stage characteristics, and although it has declined after policy interventions such as rural revitalization, the absolute gap still persists along with the non-equalization of public services (<xref ref-type="bibr" rid="ref26">26</xref>). The perpetuation of the gap not only inhibits the expansion of the consumer market but also creates a &#x201C;poverty cycle&#x201D; through the intergenerational distribution of resources such as education and healthcare, and the lack of investment in the human capital of rural families has led to barriers to the career advancement of their children, exacerbating the solidification of the social stratification (<xref ref-type="bibr" rid="ref5">5</xref>, <xref ref-type="bibr" rid="ref6">6</xref>).</p>
<p>Institutional constraints form the core explanatory factor for the urban&#x2013;rural income gap. By restricting access to public services, they result in inadequate coverage of pension insurance for migrant workers, forcing them to enroll in the New Rural Cooperative Medical Scheme only in their registered hometowns (<xref ref-type="bibr" rid="ref9">9</xref>). The double-edged sword effect of economic structural transformation is also pronounced: industrial upgrading in eastern regions widens the gap initially through an &#x201C;N-curve&#x201D; before narrowing it, while western regions experience an expanding gap due to labor skill mismatches (<xref ref-type="bibr" rid="ref27">27</xref>). Urbanization, while widening disparities in the short term through factor concentration, converges gaps in the long run via the spillover effects of public services, thereby constraining human capital development (<xref ref-type="bibr" rid="ref28">28</xref>).</p>
<p>Social capital differences amplify income differentiation through the human capital pathway. Unequal distribution of educational resources contributes 35% to the income gap, with insufficient investment in early education directly constraining rural labor mobility to higher-skilled jobs (<xref ref-type="bibr" rid="ref7">7</xref>, <xref ref-type="bibr" rid="ref8">8</xref>), and urban&#x2013;rural disparities in healthcare resources reduce labor productivity through health human capital depletion (<xref ref-type="bibr" rid="ref29">29</xref>, <xref ref-type="bibr" rid="ref30">30</xref>), as evidenced by the fact that urban households are generally better equipped with soap and water hand-washing facilities than rural households (<xref ref-type="bibr" rid="ref31">31</xref>). Under the perspective of the TOE framework, the misconfiguration of technological, organizational, and environmental conditions exacerbates the structural contradictions, and most of the existing research focuses on the linear effects of single factors and seldom studies the group relationship among variables of each dimension. Based on the TOE framework, this study introduces fuzzy set qualitative comparative analysis (fsQCA), aiming to reveal the multiple concurrent causal relationships of the condition variables, break through the explanatory limitations of the traditional linear model, and provide a new theoretical perspective for the systematic optimization of urban&#x2013;rural integration policies.</p>
</sec>
<sec id="sec5">
<label>2.3</label>
<title>Impact of urban&#x2013;rural basic public services on the urban&#x2013;rural income gap</title>
<p>The impact of urban&#x2013;rural basic public services on the urban&#x2013;rural income gap is a core topic of development economics and institutional research, and its mechanism runs through the multiple dimensions of resource allocation, human capital accumulation, and government governance. As a core public service area, the distribution of educational resources is an important factor affecting the urban&#x2013;rural income gap. Becker &#x0026; Chiswick (<xref ref-type="bibr" rid="ref32">32</xref>) were the first to reveal the decisive role of education differences in income differentiation. Yang &#x0026; Qiu (<xref ref-type="bibr" rid="ref8">8</xref>) further found that differences in China&#x2019;s investment in early childhood education contributed 35% to the income gap and proposed that the subsidization of rural preschool education is the most effective policy tool. The rural&#x2013;urban split in social security, on the other hand, exacerbates imbalances through labor market discrimination, with insufficient levels of social security in rural areas directly widening the income gap (<xref ref-type="bibr" rid="ref33">33</xref>), while research in India suggests that the lack of formal insurance leads to labor mismatches and the formation of a spatial wage divide (<xref ref-type="bibr" rid="ref34">34</xref>).</p>
<p>The impact of &#x201C;hard&#x201D; public services such as infrastructure varies regionally. For instance, China&#x2019;s high-speed rail construction has shown a weak convergence effect on urban&#x2013;rural income disparities (<xref ref-type="bibr" rid="ref35">35</xref>). However, in underdeveloped regions, low internet penetration rates (IPR) may create a &#x201C;digital poverty trap&#x201D; hindering rural residents&#x2019; access to emerging employment opportunities like e-commerce (<xref ref-type="bibr" rid="ref36">36</xref>). A study employing triadic graph analysis found that disparities in basic healthcare service levels between urban and rural areas are highly correlated with residential space. Across 73 countries, basic healthcare coverage in urban areas significantly exceeds that in rural areas, suggesting that unequal distribution of public service resources may exacerbate urban&#x2013;rural income gaps through human capital pathways (<xref ref-type="bibr" rid="ref31">31</xref>). However, institutional constraints weaken the poverty-reducing effects of the former (<xref ref-type="bibr" rid="ref24">24</xref>). Disparities in educational investment reinforce income stratification through the intergenerational transmission of human capital (<xref ref-type="bibr" rid="ref6">6</xref>). Inadequate coordination between policy design and governance capacity exacerbates structural contradictions; achieving equitable public services requires integrating multidimensional policy instruments across finance, land, and industry (<xref ref-type="bibr" rid="ref20">20</xref>). Regions with significant income disparities often lag in basic public services and social governance, leading to economic imbalances (<xref ref-type="bibr" rid="ref25">25</xref>).</p>
<p>Established studies on the impact of urban&#x2013;rural basic public services on the urban&#x2013;rural income gap mostly focus on the linear impact of a single factor and seldom explore the group effects among the dimensions of public services from the perspective of the TOE framework. Based on the TOE framework, this study introduces fuzzy set qualitative comparative analysis (fsQCA), aiming to reveal how conditional variables affect the urban&#x2013;rural income gap through synergistic or substitution effects and to provide a nonlinear explanatory framework and policy recommendations for solving the urban&#x2013;rural basic public service allocation challenges.</p>
</sec>
<sec id="sec6">
<label>2.4</label>
<title>The TOE framework</title>
<p>The TOE framework was proposed by Tornatzky &#x0026; Fleischer (<xref ref-type="bibr" rid="ref13">13</xref>), which centers on summarizing the factors affecting organizational behavior and technology adoption into three types of systemic conditions, namely, technology, organization, and environment, and emphasizes the interaction mechanism among the three. The framework integrates the diffusion of innovation theory and technology acceptance model (<xref ref-type="bibr" rid="ref14">14</xref>) and has been widely used in management research fields such as technology adoption and digital transformation because it can analyze complex organizational phenomena from multilevel dimensions (<xref ref-type="bibr" rid="ref15">15</xref>, <xref ref-type="bibr" rid="ref16">16</xref>). In industries such as healthcare and e-commerce, scholars have used the framework to identify the differential impacts of technological capabilities, organizational resources, and external market environment on technology adoption (<xref ref-type="bibr" rid="ref37">37</xref>, <xref ref-type="bibr" rid="ref38">38</xref>). Its theoretical strength lies in capturing the synergistic logic of technology-organization-environment through a systemic perspective (<xref ref-type="bibr" rid="ref39">39</xref>), providing a structured analytical framework for analyzing multifactor interactions.</p>
<p>In the technology dimension, the TOE framework focuses on the technological status of organizations, covering descriptive indicators such as technological capabilities, government pressure, and resources (<xref ref-type="bibr" rid="ref40">40</xref>). For example, in the context of Industry 4.0, digital technologies such as artificial intelligence and big data governance have become key enablers of entrepreneurial activities by reshaping the global value chain (<xref ref-type="bibr" rid="ref41">41</xref>, <xref ref-type="bibr" rid="ref42">42</xref>), suggesting that technological sophistication drives organizational effectiveness (<xref ref-type="bibr" rid="ref43">43</xref>). Organizational dimensions focus on internal attributes, including resource availability, organizational rules, degree of technological need, and strategic orientation (<xref ref-type="bibr" rid="ref44">44</xref>, <xref ref-type="bibr" rid="ref45">45</xref>). Organizational absorptive capacity for technology, top management support, and human resource reserves directly affect the depth and breadth of technology adoption (<xref ref-type="bibr" rid="ref46">46</xref>, <xref ref-type="bibr" rid="ref47">47</xref>). The environmental dimension involves the organization&#x2019;s external ecosystem, which contains market competition, policies and regulations, and industry characteristics (<xref ref-type="bibr" rid="ref48">48</xref>). For example, a favorable business environment (e.g., low entry costs, land availability) significantly promotes SME growth (<xref ref-type="bibr" rid="ref49">49</xref>), whereas government pressure and industry competition patterns constitute external constraints on technology adoption (<xref ref-type="bibr" rid="ref40">40</xref>).</p>
<p>The TOE framework provides researchers with a strong theoretical foundation and explains the influence of many factor groups on the technological activities of firms (<xref ref-type="bibr" rid="ref48">48</xref>), and thus the integration of the TOE framework with fuzzy-set qualitative comparative analysis (fsQCA) provides a unique advantage in the analysis of groupings of complex social phenomena. fsQCA&#x2019;s nonlinear causal logic is highly compatible with the TOE framework&#x2019;s The concept of interaction of technological, organizational, and environmental conditions is highly compatible (<xref ref-type="bibr" rid="ref18">18</xref>, <xref ref-type="bibr" rid="ref19">19</xref>) and is able to identify synergistic paths of multiple conditions through multi-case comparisons. In the research scenario of urban&#x2013;rural basic public services and income disparity, this combination can break through the limitations of traditional single-factor analysis and systematically analyze the configuration effect in the TOE framework. Through the configuration analysis of fsQCA, this study aims to reveal the key combinations of conditions affecting the urban&#x2013;rural income gap and to provide an empirically based analytical paradigm and theoretical basis for the expansion of the application of the TOE framework in urban&#x2013;rural basic public services.</p>
</sec>
</sec>
<sec id="sec7">
<label>3</label>
<title>Research methods and data</title>
<sec id="sec8">
<label>3.1</label>
<title>Methods of analysis</title>
<sec id="sec9">
<label>3.1.1</label>
<title>Qualitative comparative analysis of fuzzy sets and necessary condition analysis</title>
<p>This paper incorporates both Necessary Condition Analysis (NCA) and Qualitative Comparative Analysis (QCA) research methods, focusing on exploring two types of causal associations: first, exploring whether a particular element constitutes a necessary condition for city district to achieve a low urban&#x2013;rural income gap and the extent to which the element plays such a role; and, second, analyzing how these elements interact and combine to contribute to a high urban&#x2013;rural income gap or non-high urban&#x2013;rural income disparities.</p>
<p>Qualitative Comparative Analysis (QCA) is a set-theoretic approach using Boolean algebra principles to identify different combinations of attributes that lead to necessary or sufficient conditions for a particular outcome (<xref ref-type="bibr" rid="ref18">18</xref>). Fuzzy-set qualitative comparative analysis (fsQCA) is particularly good at revealing different groupings of sufficient and/or necessary conditions that lead to a relevant outcome (<xref ref-type="bibr" rid="ref50">50</xref>). The fuzzy-set qualitative comparative analysis (fsQCA) method skillfully blends the strengths of qualitative and quantitative analyses and, to a certain extent, fills the gap between large-sample quantitative analyses in terms of capturing qualitative variations and the depth of complex phenomena. The method not only enhances the general applicability and explanatory power of the research results but also ensures the meticulousness of the analysis process. Compared with traditional regression analysis methods, the core of the fsQCA method lies in the use of Boolean algebraic logic, a feature that fundamentally avoids the problem of omitted variable bias. During fsQCA analysis, the researcher does not need to set control variables, thus allowing more freedom to explore how multiple factors work together to contribute to an outcome (<xref ref-type="bibr" rid="ref51">51</xref>).</p>
<p>This paper employs the Necessary Condition Analysis (NCA) method (<xref ref-type="bibr" rid="ref17">17</xref>) and effectively combines the QCA method, which has excelled in the analysis of sufficient conditions, in particular the fuzzy-set qualitative comparative analysis (fsQCA). Although fsQCA is capable of identifying necessary conditions, its formulation is limited to a qualitative level and fails to quantitatively demonstrate the extent of necessary conditions. NCA, on the other hand, can provide a complement in this regard, especially when dealing with fuzzy sets, and its rich affiliation scores make the use of NCA in combination with fsQCA even more valuable in revealing complex causality in a more comprehensive manner (<xref ref-type="bibr" rid="ref52">52</xref>).</p>
</sec>
</sec>
<sec id="sec10">
<label>3.2</label>
<title>Research model</title>
<p>This study builds a theoretical model based on the TOE framework and constructs conditional variables of urban&#x2013;rural basic public services based on technological, organizational, and environmental conditions: technological conditions cover human capital and informationization level, organizational conditions focus on government governance and resource allocation, and environmental conditions focus on the level of economic development. Through the interaction effect among the three types of conditions, the degree of equalization of urban&#x2013;rural basic public services is presented so as to analyze the complex causal mechanism of the urban&#x2013;rural income gap under the multi-conditional grouping. Therefore, this study proposes the following theoretical model (<xref ref-type="fig" rid="fig1">Figure 1</xref>) for subsequent analysis using the fsQCA 4.1 software (<xref ref-type="fig" rid="fig1">Figure 1</xref>).</p>
<fig position="float" id="fig1">
<label>Figure 1</label>
<caption><p>Analytical model.</p></caption>
<graphic xlink:href="fpubh-13-1649372-g001.tif" mimetype="image" mime-subtype="tiff">
<alt-text content-type="machine-generated">Flowchart illustrating interactions affecting urban-rural basic public services, composed of technological conditions (human capital, informatization level), organizational conditions (government governance, resource allocation), and environmental conditions (economic development). These services influence the urban-rural income gap.</alt-text>
</graphic>
</fig>
</sec>
<sec id="sec11">
<label>3.3</label>
<title>Data sources</title>
<p>The data for this study are derived from the 2023 China Statistical Yearbook, provincial and municipal statistical yearbooks or bulletins, the GuotaiAn Regional Economic Database, the China Urban Statistical Yearbook, and the Evaluation Report on Political-Business Relationships in Chinese Cities.</p>
</sec>
<sec id="sec12">
<label>3.4</label>
<title>Measurement of variables</title>
<p>Technological, organizational, and environmental conditions are taken as the measurement dimensions of the condition variables, and the subdivided variables under each dimension are intergovernmental relations, government-market relations, government-society relations, economic development, human capital and informatization level, as shown in <xref ref-type="table" rid="tab1">Table 1</xref>.</p>
<table-wrap position="float" id="tab1">
<label>Table 1</label>
<caption><p>Summary of the variables used in the model.</p></caption>
<table frame="hsides" rules="groups">
<thead>
<tr>
<th align="left" valign="top">Variable type</th>
<th align="left" valign="top">Dimension of measurement</th>
<th align="left" valign="top">Segmentation variables</th>
<th align="left" valign="top">Measurement indicators</th>
</tr>
</thead>
<tbody>
<tr>
<td align="left" valign="top">outcome variable</td>
<td/>
<td align="left" valign="top">Urban&#x2013;rural income gap</td>
<td align="left" valign="top">Tyrell&#x2019;s index</td>
</tr>
<tr>
<td align="left" valign="top" rowspan="7">conditional variable</td>
<td align="left" valign="top" rowspan="4">Organizational conditions</td>
<td align="left" valign="top">Intergovernmental relations</td>
<td align="left" valign="top">Fiscal self-sufficiency rate</td>
</tr>
<tr>
<td align="left" valign="top" rowspan="2">Government-market relations</td>
<td align="left" valign="top">Political-Business Relationship Index</td>
</tr>
<tr>
<td align="left" valign="top">Government cleanliness index</td>
</tr>
<tr>
<td align="left" valign="top">Government-society relations</td>
<td align="left" valign="top">Public service expenditures</td>
</tr>
<tr>
<td align="left" valign="top">Environmental conditions</td>
<td align="left" valign="top">Economic development</td>
<td align="left" valign="top">Per capita GDP</td>
</tr>
<tr>
<td align="left" valign="top" rowspan="2">Technological conditions</td>
<td align="left" valign="top">Human capital</td>
<td align="left" valign="top">Number of full-time teachers in general higher education</td>
</tr>
<tr>
<td align="left" valign="top">informatization level</td>
<td align="left" valign="top">Internet penetration</td>
</tr>
</tbody>
</table>
</table-wrap>
<sec id="sec13">
<label>3.4.1</label>
<title>The Theil index</title>
<p>The Thiel index is used as an outcome variable to assess the overall amount of urban&#x2013;rural income discrepancy. This indicator is calculated by comparing the proportion of urban and rural residents&#x2019; incomes to the proportion of the population, and it has the advantage of more accurately reflecting the income disparity between urban and rural population shares, with larger values indicating higher levels of inequality. The formula for measuring the Theil index is as follows (<xref ref-type="disp-formula" rid="EQ1">Equation 1</xref>):</p>
<disp-formula id="EQ1"><mml:math id="M1"><mml:msub><mml:mtext mathvariant="italic">Theil</mml:mtext><mml:mi>t</mml:mi></mml:msub><mml:mo>=</mml:mo><mml:mfrac><mml:msub><mml:mi>Y</mml:mi><mml:mrow><mml:mn>1</mml:mn><mml:mi>t</mml:mi></mml:mrow></mml:msub><mml:msub><mml:mi>Y</mml:mi><mml:mi>t</mml:mi></mml:msub></mml:mfrac><mml:mtext mathvariant="italic">In</mml:mtext><mml:mo stretchy="true">(</mml:mo><mml:mfrac><mml:mrow><mml:msub><mml:mi>Y</mml:mi><mml:mrow><mml:mn>1</mml:mn><mml:mi>t</mml:mi></mml:mrow></mml:msub><mml:mo>/</mml:mo><mml:msub><mml:mi>P</mml:mi><mml:mrow><mml:mn>1</mml:mn><mml:mi>t</mml:mi></mml:mrow></mml:msub></mml:mrow><mml:mrow><mml:msub><mml:mi>Y</mml:mi><mml:mi>t</mml:mi></mml:msub><mml:mo>/</mml:mo><mml:msub><mml:mi>P</mml:mi><mml:mi>t</mml:mi></mml:msub></mml:mrow></mml:mfrac><mml:mo stretchy="true">)</mml:mo><mml:mo>+</mml:mo><mml:mfrac><mml:msub><mml:mi>Y</mml:mi><mml:mrow><mml:mn>2</mml:mn><mml:mi>t</mml:mi></mml:mrow></mml:msub><mml:msub><mml:mi>Y</mml:mi><mml:mi>t</mml:mi></mml:msub></mml:mfrac><mml:mtext mathvariant="italic">In</mml:mtext><mml:mo stretchy="true">(</mml:mo><mml:mfrac><mml:mrow><mml:msub><mml:mi>Y</mml:mi><mml:mrow><mml:mn>2</mml:mn><mml:mi>t</mml:mi></mml:mrow></mml:msub><mml:mo>/</mml:mo><mml:msub><mml:mi>P</mml:mi><mml:mrow><mml:mn>2</mml:mn><mml:mi>t</mml:mi></mml:mrow></mml:msub></mml:mrow><mml:mrow><mml:msub><mml:mi>Y</mml:mi><mml:mi>t</mml:mi></mml:msub><mml:mo>/</mml:mo><mml:msub><mml:mi>P</mml:mi><mml:mi>t</mml:mi></mml:msub></mml:mrow></mml:mfrac><mml:mo stretchy="true">)</mml:mo></mml:math><label>(1)</label></disp-formula>
<p>Where <inline-formula><mml:math id="M2"><mml:msub><mml:mi mathvariant="normal">Y</mml:mi><mml:mrow><mml:mn>1</mml:mn><mml:mi mathvariant="normal">t</mml:mi></mml:mrow></mml:msub></mml:math></inline-formula> and<inline-formula><mml:math id="M3"><mml:mspace width="0.25em"/><mml:msub><mml:mi mathvariant="normal">Y</mml:mi><mml:mrow><mml:mn>2</mml:mn><mml:mi mathvariant="normal">t</mml:mi></mml:mrow></mml:msub></mml:math></inline-formula> denote the total income of urban and rural residents in period t, respectively (obtained by multiplying the total population and the per capita income level);<inline-formula><mml:math id="M4"><mml:mspace width="0.25em"/><mml:msub><mml:mi mathvariant="normal">Y</mml:mi><mml:mi mathvariant="normal">t</mml:mi></mml:msub></mml:math></inline-formula> is the sum of the total incomes of urban and rural residents in period t;<inline-formula><mml:math id="M5"><mml:mspace width="0.25em"/><mml:msub><mml:mi mathvariant="normal">P</mml:mi><mml:mrow><mml:mn>1</mml:mn><mml:mi mathvariant="normal">t</mml:mi></mml:mrow></mml:msub></mml:math></inline-formula> and<inline-formula><mml:math id="M6"><mml:mspace width="0.25em"/><mml:msub><mml:mi mathvariant="normal">P</mml:mi><mml:mrow><mml:mn>2</mml:mn><mml:mi mathvariant="normal">t</mml:mi></mml:mrow></mml:msub></mml:math></inline-formula> denote the population size of urban and rural areas in period t, respectively; and<inline-formula><mml:math id="M7"><mml:mspace width="0.25em"/><mml:msub><mml:mi mathvariant="normal">P</mml:mi><mml:mi mathvariant="normal">t</mml:mi></mml:msub></mml:math></inline-formula> is the total population size in period t.</p>
</sec>
<sec id="sec14">
<label>3.4.2</label>
<title>Technological condition</title>
<p>The technology dimension focuses on the technological status and innovation capacity of organizations, including human capital and digitalization level (<xref ref-type="bibr" rid="ref41">41</xref>, <xref ref-type="bibr" rid="ref42">42</xref>). Endogenous growth theory states that human capital accumulation is the core driver of technological progress, which drives sustained economic growth through knowledge creation and spillover effects. Differences in early education investment have the highest contribution rate to the income gap in China (<xref ref-type="bibr" rid="ref8">8</xref>), and in this study, the number of college students per 10,000 students commonly used as an indicator for measuring human capital in Chinese cities is selected to represent the level of human capital, reflecting regional knowledge reserves and innovation potential (<xref ref-type="bibr" rid="ref43">43</xref>), which is a key element in promoting the technologization and precision of public services in urban and rural areas; the Internet penetration rate, as a measure of the level of informatization, reflects the degree of penetration of digital technology in urban and rural society, and is closely related to the application of technologies such as big data governance and intelligent service platforms in the context of Industry 4.0 (<xref ref-type="bibr" rid="ref41">41</xref>). Endogenous growth theory emphasizes the facilitating effect of technological diffusion on knowledge spillover, and digital technology can break through the geographic boundaries of traditional public services and enhance the accessibility of services in rural areas through the sharing of educational resources, medical remote diagnosis, etc. (<xref ref-type="bibr" rid="ref42">42</xref>), whereas the accumulation of human capital strengthens the effectiveness of the application of technology, and the two together constitute the technological configuration of urban and rural public service allocation. The two together constitute the technological support for the allocation of urban and rural public services, echoing the theoretical kernel of endogenous growth theory in which technology and human capital synergistically drive development.</p>
</sec>
<sec id="sec15">
<label>3.4.3</label>
<title>Organizational conditions</title>
<p>The TOE framework of organizational conditions focuses on the role of intra-organizational attributes on technology application and decision-making, covering core elements such as resource availability, organizational rules, and policy support (<xref ref-type="bibr" rid="ref44">44</xref>, <xref ref-type="bibr" rid="ref45">45</xref>). According to public choice theory, this study refines organizational conditions into three types of indicators: intergovernmental relations, government-market relations, and government-society relations. Intergovernmental relations are measured by the financial self-sufficiency rate, which not only reflects the financial autonomy of the local government but also fits the assumption of &#x201C;bureaucratic budget maximization&#x201D; in public choice theory and reveals that resource allocation barriers are formed by financial competition between governments. The government-market relationship is measured by the government-business relationship index and the government cleanliness index, which correspond to the public choice theory&#x2019;s criticism of rent-seeking behavior and quantitatively assess the risk of resource mismatch due to collusion or corruption among interest groups; the government-society relationship is measured by the public service expenditure index, which echoes the &#x201C;middle-voter theorem,&#x201D; reflecting the problem of inadequate rural service provision and inefficient resource allocation due to voter preference bias in government spending decisions (<xref ref-type="bibr" rid="ref45">45</xref>). Resource support at the organizational level is the foundation of technology application and social governance (<xref ref-type="bibr" rid="ref53">53</xref>), and the improvement of governmental governance capacity and rational allocation of resources can alleviate income inequality by narrowing the urban&#x2013;rural public service gap.</p>
</sec>
<sec id="sec16">
<label>3.4.4</label>
<title>Environmental conditions</title>
<p>Environmental conditions focus on the organization&#x2019;s external ecosystem, including market competition, policy environment, and level of economic development (<xref ref-type="bibr" rid="ref49">49</xref>, <xref ref-type="bibr" rid="ref54">54</xref>). From the perspective of growth pole theory, the economic development conditions of a particular region are a reflection of the &#x201C;agglomeration effect&#x201D; of economic growth poles, which in turn indicates that balanced economic development has a significant impact on the equalization of basic public services between urban and rural areas. This study measures economic development by GDP per capita, which not only reflects the overall scale of regional wealth but also implies the differences between urban and rural industrial structure and factor flow patterns. From the perspective of environmental embeddedness, regions with higher levels of economic development usually have more abundant financial resources for public service provision, while the process of industrialization and urbanization may accelerate urban&#x2013;rural population mobility, forcing the optimization of the public service system (<xref ref-type="bibr" rid="ref49">49</xref>). The imbalance of economic development may also lead to the agglomeration of resources to cities, exacerbating the urban&#x2013;rural income gap (<xref ref-type="bibr" rid="ref54">54</xref>). Therefore, the level of economic development is not only the material basis for urban and rural basic public service inputs but also an environmental constraint that affects the effectiveness of technology application and the efficiency of policy implementation, which needs to be examined in the group analysis of its interaction with technological and organizational conditions.</p>
</sec>
</sec>
<sec id="sec17">
<label>3.5</label>
<title>Data calibration</title>
<p>In this study, the observed variables are calibrated using the direct method, which involves changing them into fuzzy-sets. Based on the treatment in the published literature (<xref ref-type="bibr" rid="ref55">55</xref>), &#x201C;three anchor points&#x201D; for the four condition variables and one outcome variable (Thiel index) are selected: &#x201C;full membership,&#x201D; &#x201C;crossover point,&#x201D; and &#x201C;full non-membership.&#x201D; Specifically, the anchor points for the sample data are the upper quartile (75%), median, and lower quartile (25%). The calibration of the non-high urban&#x2013;rural income gap is achieved by excluding the high urban&#x2013;rural income difference. <xref ref-type="table" rid="tab2">Table 2</xref> shows the specific calibration findings for each study variable.</p>
<table-wrap position="float" id="tab2">
<label>Table 2</label>
<caption><p>Data calibration.</p></caption>
<table frame="hsides" rules="groups">
<thead>
<tr>
<th align="left" valign="top">Variable classification</th>
<th align="left" valign="top" colspan="2">Variable description</th>
<th align="left" valign="top">Full membership</th>
<th align="left" valign="top">Crossover point</th>
<th align="left" valign="top">Full non-membership</th>
</tr>
</thead>
<tbody>
<tr>
<td align="left" valign="top">outcome variable</td>
<td align="left" valign="top">TI</td>
<td align="left" valign="top">Urban&#x2013;rural income gap</td>
<td align="left" valign="top">0.0617</td>
<td align="left" valign="top">0.0394</td>
<td align="left" valign="top">0.0266</td>
</tr>
<tr>
<td align="left" valign="top" rowspan="7">conditional variable</td>
<td align="left" valign="top">FSR</td>
<td align="left" valign="top">Fiscal self-sufficiency rate</td>
<td align="left" valign="top">0.6588</td>
<td align="left" valign="top">0.5167</td>
<td align="left" valign="top">0.4119</td>
</tr>
<tr>
<td align="left" valign="top">GBRI</td>
<td align="left" valign="top">Political-Business Relationship Index</td>
<td align="left" valign="top">64.5</td>
<td align="left" valign="top">47.32</td>
<td align="left" valign="top">41.82</td>
</tr>
<tr>
<td align="left" valign="top">GII</td>
<td align="left" valign="top">Government cleanliness index</td>
<td align="left" valign="top">67.08</td>
<td align="left" valign="top">49.09</td>
<td align="left" valign="top">43.63</td>
</tr>
<tr>
<td align="left" valign="top">PGDP</td>
<td align="left" valign="top">per capita GDP</td>
<td align="left" valign="top">147,057</td>
<td align="left" valign="top">93,731</td>
<td align="left" valign="top">76,853</td>
</tr>
<tr>
<td align="left" valign="top">PSE</td>
<td align="left" valign="top">Public service expenditures</td>
<td align="left" valign="top">89.87</td>
<td align="left" valign="top">61.87</td>
<td align="left" valign="top">34.53</td>
</tr>
<tr>
<td align="left" valign="top">HC</td>
<td align="left" valign="top">The ratio of college students to the total local population</td>
<td align="left" valign="top">297.87</td>
<td align="left" valign="top">215.26</td>
<td align="left" valign="top">128.26</td>
</tr>
<tr>
<td align="left" valign="top">IPR</td>
<td align="left" valign="top">Internet penetration rate</td>
<td align="left" valign="top">6.5206</td>
<td align="left" valign="top">4.6107</td>
<td align="left" valign="top">3.9134</td>
</tr>
</tbody>
</table>
</table-wrap>
</sec>
</sec>
<sec sec-type="conclusions" id="sec18">
<label>4</label>
<title>Conclusion</title>
<sec id="sec19">
<label>4.1</label>
<title>Necessity analysis</title>
<p>This study empirically examines the possible adequacy or necessity of the relationship between conditional variables and outcome variables in terms of the dimensions of consistency and coverage. Using the fsQCA 4.1 analysis tool, reference was made to established research (<xref ref-type="bibr" rid="ref56">56</xref>), and in order to ensure the reliability of the study&#x2019;s conclusions, a systematic analysis was also carried out to analyze the situations where the condition variable had a missing status (marked with a &#x201C;~&#x201C;). The empirical results show (<xref ref-type="table" rid="tab3">Table 3</xref> for details) that the consistency of individual conditional necessities is below the threshold of 0.9 for determining the necessity condition, a finding that suggests that, in the case of urban&#x2013;rural basic public services, none of its dimensional indicators meets the criteria of the necessary preconditions that drive the urban&#x2013;rural income gap.</p>
<table-wrap position="float" id="tab3">
<label>Table 3</label>
<caption><p>Results of necessity analysis for individual condition variables.</p></caption>
<table frame="hsides" rules="groups">
<thead>
<tr>
<th align="left" valign="top" rowspan="2">Conditional variable</th>
<th align="left" valign="top" rowspan="2">Description of variables</th>
<th align="left" valign="top" colspan="2">High urban&#x2013;rural income gap</th>
<th align="left" valign="top" colspan="2">Non-high urban&#x2013;rural income gap</th>
</tr>
<tr>
<th align="left" valign="top">Consistency</th>
<th align="left" valign="top">Coverage</th>
<th align="left" valign="top">Consistency</th>
<th align="left" valign="top">Coverage</th>
</tr>
</thead>
<tbody>
<tr>
<td align="left" valign="top">FSR</td>
<td align="left" valign="top">High financial self-sufficiency</td>
<td align="char" valign="top" char=".">0.328880</td>
<td align="char" valign="top" char=".">0.326864</td>
<td align="char" valign="top" char=".">0.730269</td>
<td align="char" valign="top" char=".">0.803371</td>
</tr>
<tr>
<td align="left" valign="top">~FSR</td>
<td align="left" valign="top">Low financial self-sufficiency</td>
<td align="char" valign="top" char=".">0.802158</td>
<td align="char" valign="top" char=".">0.728758</td>
<td align="char" valign="top" char=".">0.388115</td>
<td align="char" valign="top" char=".">0.390289</td>
</tr>
<tr>
<td align="left" valign="top">GBRI</td>
<td align="left" valign="top">High political and business relations index</td>
<td align="char" valign="top" char=".">0.320658</td>
<td align="char" valign="top" char=".">0.307541</td>
<td align="char" valign="top" char=".">0.740018</td>
<td align="char" valign="top" char=".">0.785609</td>
</tr>
<tr>
<td align="left" valign="top">~GBRI</td>
<td align="left" valign="top">Low Political-Business Relationship Index</td>
<td align="char" valign="top" char=".">0.776465</td>
<td align="char" valign="top" char=".">0.729599</td>
<td align="char" valign="top" char=".">0.347725</td>
<td align="char" valign="top" char=".">0.361661</td>
</tr>
<tr>
<td align="left" valign="top">GII</td>
<td align="left" valign="top">High government cleanliness index</td>
<td align="char" valign="top" char=".">0.449126</td>
<td align="char" valign="top" char=".">0.450283</td>
<td align="char" valign="top" char=".">0.587279</td>
<td align="char" valign="top" char=".">0.651726</td>
</tr>
<tr>
<td align="left" valign="top">~GII</td>
<td align="left" valign="top">Low government innocence index</td>
<td align="char" valign="top" char=".">0.652621</td>
<td align="char" valign="top" char=".">0.588235</td>
<td align="char" valign="top" char=".">0.504642</td>
<td align="char" valign="top" char=".">0.503474</td>
</tr>
<tr>
<td align="left" valign="top">PGDP</td>
<td align="left" valign="top">High GDP per capita</td>
<td align="char" valign="top" char=".">0.285200</td>
<td align="char" valign="top" char=".">0.268765</td>
<td align="char" valign="top" char=".">0.811049</td>
<td align="char" valign="top" char=".">0.846005</td>
</tr>
<tr>
<td align="left" valign="top">~PGDP</td>
<td align="left" valign="top">Low GDP per capita</td>
<td align="char" valign="top" char=".">0.836588</td>
<td align="char" valign="top" char=".">0.800000</td>
<td align="char" valign="top" char=".">0.298979</td>
<td align="char" valign="top" char=".">0.316462</td>
</tr>
<tr>
<td align="left" valign="top">PSE</td>
<td align="left" valign="top">High public service expenditures</td>
<td align="char" valign="top" char=".">0.313464</td>
<td align="char" valign="top" char=".">0.295400</td>
<td align="char" valign="top" char=".">0.783194</td>
<td align="char" valign="top" char=".">0.816949</td>
</tr>
<tr>
<td align="left" valign="top">~PSE</td>
<td align="left" valign="top">Low public service expenditures</td>
<td align="char" valign="top" char=".">0.805755</td>
<td align="char" valign="top" char=".">0.770516</td>
<td align="char" valign="top" char=".">0.324513</td>
<td align="char" valign="top" char=".">0.343489</td>
</tr>
<tr>
<td align="left" valign="top">HC</td>
<td align="left" valign="top">High ratio of university students to total local population</td>
<td align="char" valign="top" char=".">0.292909</td>
<td align="char" valign="top" char=".">0.277778</td>
<td align="char" valign="top" char=".">0.800371</td>
<td align="char" valign="top" char=".">0.840156</td>
</tr>
<tr>
<td align="left" valign="top">~HC</td>
<td align="left" valign="top">Low ratio of university students to total local population</td>
<td align="char" valign="top" char=".">0.831449</td>
<td align="char" valign="top" char=".">0.790039</td>
<td align="char" valign="top" char=".">0.311978</td>
<td align="char" valign="top" char=".">0.328125</td>
</tr>
<tr>
<td align="left" valign="top">IPR</td>
<td align="left" valign="top">High Internet penetration</td>
<td align="char" valign="top" char=".">0.316547</td>
<td align="char" valign="top" char=".">0.300488</td>
<td align="char" valign="top" char=".">0.804550</td>
<td align="char" valign="top" char=".">0.845366</td>
</tr>
<tr>
<td align="left" valign="top">~IPR</td>
<td align="left" valign="top">Low Internet penetration</td>
<td align="char" valign="top" char=".">0.837102</td>
<td align="char" valign="top" char=".">0.794634</td>
<td align="char" valign="top" char=".">0.334262</td>
<td align="char" valign="top" char=".">0.351220</td>
</tr>
</tbody>
</table>
</table-wrap>
</sec>
<sec id="sec20">
<label>4.2</label>
<title>Pathways and case studies</title>
<p>In this study, the consistency threshold is set at 0.8, and the case cutoff value is set at 2. Based on the uncertainty of the direction of the influence of environmental conditions, the symmetry assumption is used to conduct a counterfactual analysis by comparing the intermediate solution with the parsimonious solution to identify the core conditions and the edge conditions (<xref ref-type="bibr" rid="ref55">55</xref>). The histogram analysis paths are shown in <xref ref-type="table" rid="tab4">Table 4</xref>, with several driving paths (H1-H6) for high urban&#x2013;rural income gap and several inhibiting paths (L1-L7) for non-high urban&#x2013;rural income gap. The results of the group analysis are shown in <xref ref-type="table" rid="tab5">Table 5</xref>, with total coverage of 0.685 and 0.736, which can explain 68.5 and 73.6% of the sample cases, respectively, and the overall consistency is higher than 0.9, which verifies the robustness of the analysis results. Each grouping that affects the urban&#x2013;rural income gap is analyzed in detail below.</p>
<table-wrap position="float" id="tab4">
<label>Table 4</label>
<caption><p>Results of the configuration analysis.</p></caption>
<table frame="hsides" rules="groups">
<thead>
<tr>
<th align="left" valign="top">Solutions</th>
<th align="left" valign="top">High urban&#x2013;rural income gap</th>
<th align="left" valign="top">Non-high rural&#x2013;urban income gap</th>
</tr>
</thead>
<tbody>
<tr>
<td align="left" valign="top">Parsimonious solution</td>
<td align="left" valign="top">~PSE&#x002A;&#x202F;~&#x202F;IPR<break/>~FSR&#x002A;&#x202F;~&#x202F;PGDP</td>
<td align="left" valign="top">PSE<break/>FSR&#x002A;IPR</td>
</tr>
<tr>
<td align="left" valign="top">Complex (intermediate) solution</td>
<td align="left" valign="top">~GBRI&#x002A;&#x202F;~&#x202F;PGDP&#x002A;&#x202F;~&#x202F;PSE&#x002A;&#x202F;~&#x202F;HC&#x002A;&#x202F;~&#x202F;IPR<break/>~FSR&#x002A;&#x202F;~&#x202F;GBRI&#x002A;&#x202F;~&#x202F;GII&#x002A;&#x202F;~&#x202F;PGDP&#x002A;&#x202F;~&#x202F;PSE&#x002A;&#x202F;~&#x202F;IPR<break/>~FSR&#x002A;&#x202F;~&#x202F;GBRI&#x002A;&#x202F;~&#x202F;GII&#x002A;&#x202F;~&#x202F;PGDP&#x002A;&#x202F;~&#x202F;PSE&#x002A;&#x202F;~&#x202F;HC<break/>~FSR&#x002A;GII&#x002A;&#x202F;~&#x202F;PGDP&#x002A;&#x202F;~&#x202F;PSE&#x002A;&#x202F;~&#x202F;HC&#x002A;&#x202F;~&#x202F;IPR<break/>FSR&#x002A;&#x202F;~&#x202F;GBRI&#x002A;GII&#x002A;&#x202F;~&#x202F;PSE&#x002A;&#x202F;~&#x202F;HC&#x002A;&#x202F;~&#x202F;IPR<break/>~FSR&#x002A;GBRI&#x002A;GII&#x002A;&#x202F;~&#x202F;PGDP&#x002A;PSE&#x002A;HC&#x002A;&#x202F;~&#x202F;IPR</td>
<td align="left" valign="top">FSR&#x002A;GBRI&#x002A;PGDP&#x002A;HC&#x002A;IPR<break/>FSR&#x002A;GBRI&#x002A;GII&#x002A;PSE&#x002A;&#x202F;~&#x202F;HC&#x002A;IPR<break/>FSR&#x002A;&#x202F;~&#x202F;GII&#x002A;PGDP&#x002A;PSE&#x002A;HC&#x002A;IPR<break/>GBRI&#x002A;&#x202F;~&#x202F;GII&#x002A;PGDP&#x002A;PSE&#x002A;HC&#x002A;IPR<break/>~FSR&#x002A;&#x202F;~&#x202F;GBRI&#x002A;&#x202F;~&#x202F;GII&#x002A;PGDP&#x002A;PSE&#x002A;HC&#x002A;&#x202F;~&#x202F;IPR<break/>FSR&#x002A;&#x202F;~&#x202F;GBRI&#x002A;&#x202F;~&#x202F;GII&#x002A;PGDP&#x002A;&#x202F;~&#x202F;PSE&#x002A;&#x202F;~&#x202F;HC&#x002A;IPR<break/>~FSR&#x002A;GBRI&#x002A;GII&#x002A;&#x202F;~&#x202F;PGDP&#x002A;PSE&#x002A;HC&#x002A;&#x202F;~&#x202F;IPR</td>
</tr>
</tbody>
</table>
<table-wrap-foot>
<p>&#x002A;Means Boolean logic &#x201C;and&#x201D;; ~ means Boolean logic &#x201C;not&#x201D;.</p>
</table-wrap-foot>
</table-wrap>
<table-wrap position="float" id="tab5">
<label>Table 5</label>
<caption><p>Paths of high and non-high urban&#x2013;rural income gap.</p></caption>
<table frame="hsides" rules="groups">
<thead>
<tr>
<th align="left" valign="top" rowspan="2">Conditional variable</th>
<th align="center" valign="top" colspan="6">High urban&#x2013;rural income gap</th>
<th align="center" valign="top" colspan="7">Non-high urban&#x2013;rural income gap</th>
</tr>
<tr>
<th align="center" valign="top">H<sub>1a</sub></th>
<th align="center" valign="top">H<sub>1b</sub></th>
<th align="center" valign="top">H<sub>2a</sub></th>
<th align="center" valign="top">H<sub>2b</sub></th>
<th align="center" valign="top">H<sub>3a</sub></th>
<th align="center" valign="top">H<sub>3b</sub></th>
<th align="center" valign="top">L<sub>1a</sub></th>
<th align="center" valign="top">L<sub>1b</sub></th>
<th align="center" valign="top">L<sub>2a</sub></th>
<th align="center" valign="top">L<sub>2b</sub></th>
<th align="center" valign="top">L<sub>3a</sub></th>
<th align="center" valign="top">L<sub>3b</sub></th>
<th align="center" valign="top">L<sub>3c</sub></th>
</tr>
</thead>
<tbody>
<tr>
<td align="left" valign="top">FSR</td>
<td/>
<td align="center" valign="top"><inline-graphic xlink:href="fpubh-13-1649372-i001.tif" mimetype="image" mime-subtype="tiff">
<alt-text content-type="machine-generated">A solid black circle without any additional features or patterns.</alt-text>
</inline-graphic></td>
<td align="center" valign="top"><inline-graphic xlink:href="fpubh-13-1649372-i002.tif" mimetype="image" mime-subtype="tiff">
<alt-text content-type="machine-generated">Black and white circular icon with a bold black outline and a white interior.</alt-text>
</inline-graphic></td>
<td align="center" valign="top"><inline-graphic xlink:href="fpubh-13-1649372-i002.tif" mimetype="image" mime-subtype="tiff">
<alt-text content-type="machine-generated">Black and white circular icon with a bold black outline and a white interior.</alt-text>
</inline-graphic></td>
<td align="center" valign="top"><inline-graphic xlink:href="fpubh-13-1649372-i002.tif" mimetype="image" mime-subtype="tiff">
<alt-text content-type="machine-generated">Black and white circular icon with a bold black outline and a white interior.</alt-text>
</inline-graphic></td>
<td align="center" valign="top"><inline-graphic xlink:href="fpubh-13-1649372-i002.tif" mimetype="image" mime-subtype="tiff">
<alt-text content-type="machine-generated">Black and white circular icon with a bold black outline and a white interior.</alt-text>
</inline-graphic></td>
<td align="center" valign="top"><inline-graphic xlink:href="fpubh-13-1649372-i003.tif" mimetype="image" mime-subtype="tiff">
<alt-text content-type="machine-generated">A small, solid black circle on a white background.</alt-text>
</inline-graphic></td>
<td align="center" valign="top"><inline-graphic xlink:href="fpubh-13-1649372-i003.tif" mimetype="image" mime-subtype="tiff">
<alt-text content-type="machine-generated">A small, solid black circle on a white background.</alt-text>
</inline-graphic></td>
<td align="center" valign="top"><inline-graphic xlink:href="fpubh-13-1649372-i003.tif" mimetype="image" mime-subtype="tiff">
<alt-text content-type="machine-generated">A small, solid black circle on a white background.</alt-text>
</inline-graphic></td>
<td align="center" valign="top"><inline-graphic xlink:href="fpubh-13-1649372-i003.tif" mimetype="image" mime-subtype="tiff">
<alt-text content-type="machine-generated">A small, solid black circle on a white background.</alt-text>
</inline-graphic></td>
<td align="center" valign="top"><inline-graphic xlink:href="fpubh-13-1649372-i004.tif" mimetype="image" mime-subtype="tiff">
<alt-text content-type="machine-generated">A small, simple black circle with a white center resembling a basic button or lens.</alt-text>
</inline-graphic></td>
<td/>
<td align="center" valign="top"><inline-graphic xlink:href="fpubh-13-1649372-i004.tif" mimetype="image" mime-subtype="tiff">
<alt-text content-type="machine-generated">A small, simple black circle with a white center resembling a basic button or lens.</alt-text>
</inline-graphic></td>
</tr>
<tr>
<td align="left" valign="top">GBRI</td>
<td align="center" valign="top"><inline-graphic xlink:href="fpubh-13-1649372-i004.tif" mimetype="image" mime-subtype="tiff">
<alt-text content-type="machine-generated">A small, simple black circle with a white center resembling a basic button or lens.</alt-text>
</inline-graphic></td>
<td align="center" valign="top"><inline-graphic xlink:href="fpubh-13-1649372-i004.tif" mimetype="image" mime-subtype="tiff">
<alt-text content-type="machine-generated">A small, simple black circle with a white center resembling a basic button or lens.</alt-text>
</inline-graphic></td>
<td align="center" valign="top"><inline-graphic xlink:href="fpubh-13-1649372-i004.tif" mimetype="image" mime-subtype="tiff">
<alt-text content-type="machine-generated">A small, simple black circle with a white center resembling a basic button or lens.</alt-text>
</inline-graphic></td>
<td/>
<td align="center" valign="top"><inline-graphic xlink:href="fpubh-13-1649372-i004.tif" mimetype="image" mime-subtype="tiff">
<alt-text content-type="machine-generated">A small, simple black circle with a white center resembling a basic button or lens.</alt-text>
</inline-graphic></td>
<td align="center" valign="top"><inline-graphic xlink:href="fpubh-13-1649372-i001.tif" mimetype="image" mime-subtype="tiff">
<alt-text content-type="machine-generated">A solid black circle without any additional features or patterns.</alt-text>
</inline-graphic></td>
<td align="center" valign="top"><inline-graphic xlink:href="fpubh-13-1649372-i001.tif" mimetype="image" mime-subtype="tiff">
<alt-text content-type="machine-generated">A solid black circle without any additional features or patterns.</alt-text>
</inline-graphic></td>
<td align="center" valign="top"><inline-graphic xlink:href="fpubh-13-1649372-i004.tif" mimetype="image" mime-subtype="tiff">
<alt-text content-type="machine-generated">A small, simple black circle with a white center resembling a basic button or lens.</alt-text>
</inline-graphic></td>
<td/>
<td align="center" valign="top"><inline-graphic xlink:href="fpubh-13-1649372-i001.tif" mimetype="image" mime-subtype="tiff">
<alt-text content-type="machine-generated">A solid black circle without any additional features or patterns.</alt-text>
</inline-graphic></td>
<td align="center" valign="top"><inline-graphic xlink:href="fpubh-13-1649372-i004.tif" mimetype="image" mime-subtype="tiff">
<alt-text content-type="machine-generated">A small, simple black circle with a white center resembling a basic button or lens.</alt-text>
</inline-graphic></td>
<td align="center" valign="top"><inline-graphic xlink:href="fpubh-13-1649372-i001.tif" mimetype="image" mime-subtype="tiff">
<alt-text content-type="machine-generated">A solid black circle without any additional features or patterns.</alt-text>
</inline-graphic></td>
<td align="center" valign="top"><inline-graphic xlink:href="fpubh-13-1649372-i001.tif" mimetype="image" mime-subtype="tiff">
<alt-text content-type="machine-generated">A solid black circle without any additional features or patterns.</alt-text>
</inline-graphic></td>
</tr>
<tr>
<td align="left" valign="top">GII</td>
<td/>
<td align="center" valign="top"><inline-graphic xlink:href="fpubh-13-1649372-i001.tif" mimetype="image" mime-subtype="tiff">
<alt-text content-type="machine-generated">A solid black circle without any additional features or patterns.</alt-text>
</inline-graphic></td>
<td align="center" valign="top"><inline-graphic xlink:href="fpubh-13-1649372-i004.tif" mimetype="image" mime-subtype="tiff">
<alt-text content-type="machine-generated">A small, simple black circle with a white center resembling a basic button or lens.</alt-text>
</inline-graphic></td>
<td align="center" valign="top"><inline-graphic xlink:href="fpubh-13-1649372-i001.tif" mimetype="image" mime-subtype="tiff">
<alt-text content-type="machine-generated">A solid black circle without any additional features or patterns.</alt-text>
</inline-graphic></td>
<td align="center" valign="top"><inline-graphic xlink:href="fpubh-13-1649372-i004.tif" mimetype="image" mime-subtype="tiff">
<alt-text content-type="machine-generated">A small, simple black circle with a white center resembling a basic button or lens.</alt-text>
</inline-graphic></td>
<td align="center" valign="top"><inline-graphic xlink:href="fpubh-13-1649372-i001.tif" mimetype="image" mime-subtype="tiff">
<alt-text content-type="machine-generated">A solid black circle without any additional features or patterns.</alt-text>
</inline-graphic></td>
<td/>
<td align="center" valign="top"><inline-graphic xlink:href="fpubh-13-1649372-i004.tif" mimetype="image" mime-subtype="tiff">
<alt-text content-type="machine-generated">A small, simple black circle with a white center resembling a basic button or lens.</alt-text>
</inline-graphic></td>
<td align="center" valign="top"><inline-graphic xlink:href="fpubh-13-1649372-i004.tif" mimetype="image" mime-subtype="tiff">
<alt-text content-type="machine-generated">A small, simple black circle with a white center resembling a basic button or lens.</alt-text>
</inline-graphic></td>
<td align="center" valign="top"><inline-graphic xlink:href="fpubh-13-1649372-i001.tif" mimetype="image" mime-subtype="tiff">
<alt-text content-type="machine-generated">A solid black circle without any additional features or patterns.</alt-text>
</inline-graphic></td>
<td align="center" valign="top"><inline-graphic xlink:href="fpubh-13-1649372-i004.tif" mimetype="image" mime-subtype="tiff">
<alt-text content-type="machine-generated">A small, simple black circle with a white center resembling a basic button or lens.</alt-text>
</inline-graphic></td>
<td align="center" valign="top"><inline-graphic xlink:href="fpubh-13-1649372-i004.tif" mimetype="image" mime-subtype="tiff">
<alt-text content-type="machine-generated">A small, simple black circle with a white center resembling a basic button or lens.</alt-text>
</inline-graphic></td>
<td align="center" valign="top"><inline-graphic xlink:href="fpubh-13-1649372-i001.tif" mimetype="image" mime-subtype="tiff">
<alt-text content-type="machine-generated">A solid black circle without any additional features or patterns.</alt-text>
</inline-graphic></td>
</tr>
<tr>
<td align="left" valign="top">PGDP</td>
<td align="center" valign="top"><inline-graphic xlink:href="fpubh-13-1649372-i004.tif" mimetype="image" mime-subtype="tiff">
<alt-text content-type="machine-generated">A small, simple black circle with a white center resembling a basic button or lens.</alt-text>
</inline-graphic></td>
<td/>
<td align="center" valign="top"><inline-graphic xlink:href="fpubh-13-1649372-i002.tif" mimetype="image" mime-subtype="tiff">
<alt-text content-type="machine-generated">Black and white circular icon with a bold black outline and a white interior.</alt-text>
</inline-graphic></td>
<td align="center" valign="top"><inline-graphic xlink:href="fpubh-13-1649372-i002.tif" mimetype="image" mime-subtype="tiff">
<alt-text content-type="machine-generated">Black and white circular icon with a bold black outline and a white interior.</alt-text>
</inline-graphic></td>
<td align="center" valign="top"><inline-graphic xlink:href="fpubh-13-1649372-i002.tif" mimetype="image" mime-subtype="tiff">
<alt-text content-type="machine-generated">Black and white circular icon with a bold black outline and a white interior.</alt-text>
</inline-graphic></td>
<td align="center" valign="top"><inline-graphic xlink:href="fpubh-13-1649372-i002.tif" mimetype="image" mime-subtype="tiff">
<alt-text content-type="machine-generated">Black and white circular icon with a bold black outline and a white interior.</alt-text>
</inline-graphic></td>
<td align="center" valign="top"><inline-graphic xlink:href="fpubh-13-1649372-i001.tif" mimetype="image" mime-subtype="tiff">
<alt-text content-type="machine-generated">A solid black circle without any additional features or patterns.</alt-text>
</inline-graphic></td>
<td align="center" valign="top"><inline-graphic xlink:href="fpubh-13-1649372-i001.tif" mimetype="image" mime-subtype="tiff">
<alt-text content-type="machine-generated">A solid black circle without any additional features or patterns.</alt-text>
</inline-graphic></td>
<td align="center" valign="top"><inline-graphic xlink:href="fpubh-13-1649372-i001.tif" mimetype="image" mime-subtype="tiff">
<alt-text content-type="machine-generated">A solid black circle without any additional features or patterns.</alt-text>
</inline-graphic></td>
<td/>
<td align="center" valign="top"><inline-graphic xlink:href="fpubh-13-1649372-i001.tif" mimetype="image" mime-subtype="tiff">
<alt-text content-type="machine-generated">A solid black circle without any additional features or patterns.</alt-text>
</inline-graphic></td>
<td align="center" valign="top"><inline-graphic xlink:href="fpubh-13-1649372-i001.tif" mimetype="image" mime-subtype="tiff">
<alt-text content-type="machine-generated">A solid black circle without any additional features or patterns.</alt-text>
</inline-graphic></td>
<td align="center" valign="top"><inline-graphic xlink:href="fpubh-13-1649372-i004.tif" mimetype="image" mime-subtype="tiff">
<alt-text content-type="machine-generated">A small, simple black circle with a white center resembling a basic button or lens.</alt-text>
</inline-graphic></td>
</tr>
<tr>
<td align="left" valign="top">PSE</td>
<td align="center" valign="top"><inline-graphic xlink:href="fpubh-13-1649372-i002.tif" mimetype="image" mime-subtype="tiff">
<alt-text content-type="machine-generated">Black and white circular icon with a bold black outline and a white interior.</alt-text>
</inline-graphic></td>
<td align="center" valign="top"><inline-graphic xlink:href="fpubh-13-1649372-i002.tif" mimetype="image" mime-subtype="tiff">
<alt-text content-type="machine-generated">Black and white circular icon with a bold black outline and a white interior.</alt-text>
</inline-graphic></td>
<td align="center" valign="top"><inline-graphic xlink:href="fpubh-13-1649372-i002.tif" mimetype="image" mime-subtype="tiff">
<alt-text content-type="machine-generated">Black and white circular icon with a bold black outline and a white interior.</alt-text>
</inline-graphic></td>
<td align="center" valign="top"><inline-graphic xlink:href="fpubh-13-1649372-i002.tif" mimetype="image" mime-subtype="tiff">
<alt-text content-type="machine-generated">Black and white circular icon with a bold black outline and a white interior.</alt-text>
</inline-graphic></td>
<td align="center" valign="top"><inline-graphic xlink:href="fpubh-13-1649372-i004.tif" mimetype="image" mime-subtype="tiff">
<alt-text content-type="machine-generated">A small, simple black circle with a white center resembling a basic button or lens.</alt-text>
</inline-graphic></td>
<td align="center" valign="top"><inline-graphic xlink:href="fpubh-13-1649372-i001.tif" mimetype="image" mime-subtype="tiff">
<alt-text content-type="machine-generated">A solid black circle without any additional features or patterns.</alt-text>
</inline-graphic></td>
<td/>
<td align="center" valign="top"><inline-graphic xlink:href="fpubh-13-1649372-i004.tif" mimetype="image" mime-subtype="tiff">
<alt-text content-type="machine-generated">A small, simple black circle with a white center resembling a basic button or lens.</alt-text>
</inline-graphic></td>
<td align="center" valign="top"><inline-graphic xlink:href="fpubh-13-1649372-i003.tif" mimetype="image" mime-subtype="tiff">
<alt-text content-type="machine-generated">A small, solid black circle on a white background.</alt-text>
</inline-graphic></td>
<td align="center" valign="top"><inline-graphic xlink:href="fpubh-13-1649372-i003.tif" mimetype="image" mime-subtype="tiff">
<alt-text content-type="machine-generated">A small, solid black circle on a white background.</alt-text>
</inline-graphic></td>
<td align="center" valign="top"><inline-graphic xlink:href="fpubh-13-1649372-i003.tif" mimetype="image" mime-subtype="tiff">
<alt-text content-type="machine-generated">A small, solid black circle on a white background.</alt-text>
</inline-graphic></td>
<td align="center" valign="top"><inline-graphic xlink:href="fpubh-13-1649372-i003.tif" mimetype="image" mime-subtype="tiff">
<alt-text content-type="machine-generated">A small, solid black circle on a white background.</alt-text>
</inline-graphic></td>
<td align="center" valign="top"><inline-graphic xlink:href="fpubh-13-1649372-i003.tif" mimetype="image" mime-subtype="tiff">
<alt-text content-type="machine-generated">A small, solid black circle on a white background.</alt-text>
</inline-graphic></td>
</tr>
<tr>
<td align="left" valign="top">HC</td>
<td align="center" valign="top"><inline-graphic xlink:href="fpubh-13-1649372-i004.tif" mimetype="image" mime-subtype="tiff">
<alt-text content-type="machine-generated">A small, simple black circle with a white center resembling a basic button or lens.</alt-text>
</inline-graphic></td>
<td align="center" valign="top"><inline-graphic xlink:href="fpubh-13-1649372-i004.tif" mimetype="image" mime-subtype="tiff">
<alt-text content-type="machine-generated">A small, simple black circle with a white center resembling a basic button or lens.</alt-text>
</inline-graphic></td>
<td/>
<td align="center" valign="top"><inline-graphic xlink:href="fpubh-13-1649372-i004.tif" mimetype="image" mime-subtype="tiff">
<alt-text content-type="machine-generated">A small, simple black circle with a white center resembling a basic button or lens.</alt-text>
</inline-graphic></td>
<td align="center" valign="top"><inline-graphic xlink:href="fpubh-13-1649372-i004.tif" mimetype="image" mime-subtype="tiff">
<alt-text content-type="machine-generated">A small, simple black circle with a white center resembling a basic button or lens.</alt-text>
</inline-graphic></td>
<td align="center" valign="top"><inline-graphic xlink:href="fpubh-13-1649372-i001.tif" mimetype="image" mime-subtype="tiff">
<alt-text content-type="machine-generated">A solid black circle without any additional features or patterns.</alt-text>
</inline-graphic></td>
<td align="center" valign="top"><inline-graphic xlink:href="fpubh-13-1649372-i001.tif" mimetype="image" mime-subtype="tiff">
<alt-text content-type="machine-generated">A solid black circle without any additional features or patterns.</alt-text>
</inline-graphic></td>
<td align="center" valign="top"><inline-graphic xlink:href="fpubh-13-1649372-i004.tif" mimetype="image" mime-subtype="tiff">
<alt-text content-type="machine-generated">A small, simple black circle with a white center resembling a basic button or lens.</alt-text>
</inline-graphic></td>
<td align="center" valign="top"><inline-graphic xlink:href="fpubh-13-1649372-i001.tif" mimetype="image" mime-subtype="tiff">
<alt-text content-type="machine-generated">A solid black circle without any additional features or patterns.</alt-text>
</inline-graphic></td>
<td align="center" valign="top"><inline-graphic xlink:href="fpubh-13-1649372-i004.tif" mimetype="image" mime-subtype="tiff">
<alt-text content-type="machine-generated">A small, simple black circle with a white center resembling a basic button or lens.</alt-text>
</inline-graphic></td>
<td align="center" valign="top"><inline-graphic xlink:href="fpubh-13-1649372-i001.tif" mimetype="image" mime-subtype="tiff">
<alt-text content-type="machine-generated">A solid black circle without any additional features or patterns.</alt-text>
</inline-graphic></td>
<td align="center" valign="top"><inline-graphic xlink:href="fpubh-13-1649372-i001.tif" mimetype="image" mime-subtype="tiff">
<alt-text content-type="machine-generated">A solid black circle without any additional features or patterns.</alt-text>
</inline-graphic></td>
<td align="center" valign="top"><inline-graphic xlink:href="fpubh-13-1649372-i001.tif" mimetype="image" mime-subtype="tiff">
<alt-text content-type="machine-generated">A solid black circle without any additional features or patterns.</alt-text>
</inline-graphic></td>
</tr>
<tr>
<td align="left" valign="top">IPR</td>
<td align="center" valign="top"><inline-graphic xlink:href="fpubh-13-1649372-i002.tif" mimetype="image" mime-subtype="tiff">
<alt-text content-type="machine-generated">Black and white circular icon with a bold black outline and a white interior.</alt-text>
</inline-graphic></td>
<td align="center" valign="top"><inline-graphic xlink:href="fpubh-13-1649372-i002.tif" mimetype="image" mime-subtype="tiff">
<alt-text content-type="machine-generated">Black and white circular icon with a bold black outline and a white interior.</alt-text>
</inline-graphic></td>
<td align="center" valign="top"><inline-graphic xlink:href="fpubh-13-1649372-i002.tif" mimetype="image" mime-subtype="tiff">
<alt-text content-type="machine-generated">Black and white circular icon with a bold black outline and a white interior.</alt-text>
</inline-graphic></td>
<td align="center" valign="top"><inline-graphic xlink:href="fpubh-13-1649372-i002.tif" mimetype="image" mime-subtype="tiff">
<alt-text content-type="machine-generated">Black and white circular icon with a bold black outline and a white interior.</alt-text>
</inline-graphic></td>
<td/>
<td align="center" valign="top"><inline-graphic xlink:href="fpubh-13-1649372-i004.tif" mimetype="image" mime-subtype="tiff">
<alt-text content-type="machine-generated">A small, simple black circle with a white center resembling a basic button or lens.</alt-text>
</inline-graphic></td>
<td align="center" valign="top"><inline-graphic xlink:href="fpubh-13-1649372-i003.tif" mimetype="image" mime-subtype="tiff">
<alt-text content-type="machine-generated">A small, solid black circle on a white background.</alt-text>
</inline-graphic></td>
<td align="center" valign="top"><inline-graphic xlink:href="fpubh-13-1649372-i003.tif" mimetype="image" mime-subtype="tiff">
<alt-text content-type="machine-generated">A small, solid black circle on a white background.</alt-text>
</inline-graphic></td>
<td align="center" valign="top"><inline-graphic xlink:href="fpubh-13-1649372-i003.tif" mimetype="image" mime-subtype="tiff">
<alt-text content-type="machine-generated">A small, solid black circle on a white background.</alt-text>
</inline-graphic></td>
<td align="center" valign="top"><inline-graphic xlink:href="fpubh-13-1649372-i003.tif" mimetype="image" mime-subtype="tiff">
<alt-text content-type="machine-generated">A small, solid black circle on a white background.</alt-text>
</inline-graphic></td>
<td align="center" valign="top"><inline-graphic xlink:href="fpubh-13-1649372-i004.tif" mimetype="image" mime-subtype="tiff">
<alt-text content-type="machine-generated">A small, simple black circle with a white center resembling a basic button or lens.</alt-text>
</inline-graphic></td>
<td align="center" valign="top"><inline-graphic xlink:href="fpubh-13-1649372-i001.tif" mimetype="image" mime-subtype="tiff">
<alt-text content-type="machine-generated">A solid black circle without any additional features or patterns.</alt-text>
</inline-graphic></td>
<td align="center" valign="top"><inline-graphic xlink:href="fpubh-13-1649372-i004.tif" mimetype="image" mime-subtype="tiff">
<alt-text content-type="machine-generated">A small, simple black circle with a white center resembling a basic button or lens.</alt-text>
</inline-graphic></td>
</tr>
<tr>
<td align="left" valign="top">Solution coverage</td>
<td align="center" valign="top" colspan="6">0.684995</td>
<td align="center" valign="top" colspan="7">0.73584</td>
</tr>
<tr>
<td align="left" valign="top">Solution consistency</td>
<td align="center" valign="top" colspan="6">0.955556</td>
<td align="center" valign="top" colspan="7">0.931805</td>
</tr>
</tbody>
</table>
<table-wrap-foot>
<p><inline-graphic xlink:href="fpubh-13-1649372-i003.tif" mimetype="image" mime-subtype="tiff">
<alt-text content-type="machine-generated">A small, solid black circle on a white background.</alt-text>
</inline-graphic> indicates that the core condition exists; <inline-graphic xlink:href="fpubh-13-1649372-i002.tif" mimetype="image" mime-subtype="tiff">
<alt-text content-type="machine-generated">Black and white circular icon with a bold black outline and a white interior.</alt-text>
</inline-graphic> indicates that the core condition is missing; <inline-graphic xlink:href="fpubh-13-1649372-i001.tif" mimetype="image" mime-subtype="tiff">
<alt-text content-type="machine-generated">A solid black circle without any additional features or patterns.</alt-text>
</inline-graphic> indicates that the marginal condition exists; <inline-graphic xlink:href="fpubh-13-1649372-i004.tif" mimetype="image" mime-subtype="tiff">
<alt-text content-type="machine-generated">A small, simple black circle with a white center resembling a basic button or lens.</alt-text>
</inline-graphic> indicates that the marginal condition is missing; and a blank space indicates that the condition may or may not exist.</p>
</table-wrap-foot>
</table-wrap>
<sec id="sec21">
<label>4.2.1</label>
<title>Analysis of the high urban&#x2013;rural income gap</title>
<sec id="sec22">
<label>4.2.1.1</label>
<title>Inadequate public services and digital infrastructure path (H<sub>1a</sub>, H<sub>1b</sub>)</title>
<p>The core missing conditions of this path are insufficient public service spending and low Internet penetration, accompanied by marginal missing conditions such as poor government-business relations and weak human capital, with typical cases such as Xuzhou in northern Jiangsu. Xuzhou&#x2019;s rural areas face a serious imbalance in public service investment over time, with per capita public service expenditure in rural areas only 36.7% of the urban level in 2022; the Internet penetration rate in rural areas is 52.6% in 2023, and digital and e-commerce infrastructure is lagging behind, making it difficult for education and healthcare resources to cover the rural areas efficiently and effectively; meanwhile, low government-business coordination efficiency and the proportion of skilled labor further exacerbate the low allocation of resources. At the same time, the low efficiency of government-business coordination and the proportion of skilled labor further exacerbate the inefficiency and mismatch of resource allocation, hindering the transformation of traditional agriculture into a digital distribution system. It is recommended to establish a cross-regional coordination mechanism for the provision of public services in the Yangtze River Delta, increase targeted investment in rural digital infrastructure, and simultaneously promote the standardization of government-business relations and the construction of vocational skills training systems.</p>
</sec>
<sec id="sec23">
<label>4.2.1.2</label>
<title>The path of total factor resource scarcity (H<sub>2a</sub>, H<sub>2b</sub>)</title>
<p>This path is characterized by multiple deficiencies in core conditions such as financial autonomy, per capita GDP, public service expenditure, and Internet penetration, as in Chuzhou, Anhui Province. This type of city is limited by weak fiscal autonomy, low economic aggregate, rural public service provision, and digital technology application caught in systematic deficiencies. 2023 Chuzhou rural public service expenditure accounted for only 28.1%, the Internet penetration rate was 38.5%, the traditional industrial structure constrained on the fiscal blood-creation capacity, the formation of lagging economic development, insufficient fiscal drawing capacity, shortage of public services, and digital penetration of the weak composite dilemma. It is necessary to upgrade the economic capacity through the Yangtze River Delta Industrial Cooperation Park, set up a special fund for fiscal transfer payments and digital infrastructure, and clarify the rigid proportion of rural public service expenditures.</p>
</sec>
<sec id="sec24">
<label>4.2.1.3</label>
<title>The path of fiscal and economic recession accompanied by institutional manpower shortage (H<sub>3a</sub>, H<sub>3b</sub>)</title>
<p>This path is characterized by the absence of core conditions such as financial self-sufficiency rate and GDP per capita and the absence of marginal conditions such as political and business relations index and human capital, typical of Huainan in northern Anhui Province. Because of the long-term dependence on resource-based industries, the fiscal self-sufficiency rate is below the critical value and the economic structure is single, which is compounded by the unstandardized government-business relationship and the loss of human capital, and the supply of rural public services lacks sustainable support. Huainan&#x2019;s rural labor force lacks professional skills, and the allocation of public service resources is inefficient. It is necessary to promote the transformation of resource-based industries into high value-added sectors to enhance financial resilience, introduce the experience of the core cities of the Yangtze River Delta in the governance of government-business relations, and establish incentives for the return of talent and a platform for cross-regional cooperation in vocational education.</p>
</sec>
</sec>
<sec id="sec25">
<label>4.2.2</label>
<title>Analysis of the non-high urban&#x2013;rural income gap</title>
<sec id="sec26">
<label>4.2.2.1</label>
<title>Fiscal capacity digital technology synergy path (L<sub>1a</sub>, L<sub>1b</sub>)</title>
<p>This path is characterized by the existence of core conditions such as fiscal self-sufficiency and Internet penetration rate, and marginal conditions such as GDP per capita, typical of Shanghai Qingpu. Typical examples include Qingpu, Shanghai. This type of city relies on high financial self-sufficiency and Internet penetration to form the foundation of urban&#x2013;rural integration with financial support and digital empowerment. Through the construction of the Yangtze River Delta Eco-Green Integrated Development Demonstration Zone, Qingpu has utilized the advantage of financial resources to promote the full coverage of rural 5G networks, with the coverage rate of the rural digital government platform reaching 92% in 2024 and more than 300 items of government services being &#x201C;cross-provincial,&#x201D; effectively breaking down administrative barriers. The existence of per capita GDP edge conditions has strengthened the absorption capacity of industrial upgrading for rural labor, and local rural residents are involved in e-commerce operations, smart agriculture, and other new businesses through digital skills training, and the proportion of non-farm income has increased significantly. Policies need to deepen the cross-regional financial synergy mechanism, incorporate digital infrastructure standards into the framework of urban&#x2013;rural public service integration, and promote the deep penetration of digital technology into rural livelihoods.</p>
</sec>
<sec id="sec27">
<label>4.2.2.2</label>
<title>Fiscal digital service synergistic promotion path (L<sub>2a</sub>, L<sub>2b</sub>)</title>
<p>The path is manifested by the existence of the fiscal self-sufficiency rate, the Internet penetration rate, and the core conditions of public service expenditure, with typical cases such as Suzhou. Suzhou, with high financial self-sufficiency to support public service spending to rural tilt, 2023 urban and rural residents of the basic health insurance financial subsidy standard unification of 1,200 yuan per person per year, relying on high Internet penetration to build a rural e-commerce ecosystem, Kunshan and other places in the rural e-commerce turnover growth rate of more than 25% per annum. The group states that through financial protection, equal service, and digital efficiency synergistic mechanisms, it will realize the balanced allocation of urban and rural public service resources and rural economic industry upgrading. It is recommended to further optimize the structure of fiscal expenditure, incorporate the digital transformation of public services into the budget assessment, and establish precise supply mechanisms such as &#x201C;digital service vouchers&#x201D; to enhance the accessibility of digital public services for rural residents.</p>
</sec>
<sec id="sec28">
<label>4.2.2.3</label>
<title>Public service-led human capital support path (L<sub>3a</sub>, L<sub>3b</sub>, L<sub>3c</sub>)</title>
<p>This path is characterized by the existence of core conditions for public service expenditure and marginal conditions for human capital levels, with typical cases such as Changzhou. Changzhou promotes the balanced allocation of urban and rural education and medical resources through high public service expenditures, and in 2023, the standard of per-pupil public funding for compulsory education in rural areas will be the same as that in urban areas, and the equipment allocation of primary medical institutions will reach the standard rate of 95%. The existence of marginal conditions for the level of human capital provides support for the transformation of the effectiveness of public services, relying on the resources of local universities to carry out &#x201C;new vocational farmers&#x201D; training, annual training of rural e-commerce talents, and the formation of a virtuous cycle of service provision, manpower enhancement, and income growth. Policies need to strengthen the linkage mechanism between public services and human capital cultivation, such as the establishment of a special fund for rural education and health care and the simultaneous establishment of a &#x201C;human capital points&#x201D; system that links skills training to eligibility for public services, so as to enhance the efficiency of resource allocation.</p>
</sec>
</sec>
</sec>
<sec id="sec29">
<label>4.3</label>
<title>Sensitivity analysis</title>
<p>This study conducted robustness tests on the pre-configurations of high urban&#x2013;rural income disparities and non-high urban&#x2013;rural income disparities (<xref ref-type="bibr" rid="ref57">57</xref>). In the fsQCA4.1 software, the consistency threshold for configurations generating high and non-high urban&#x2013;rural income disparities was raised from 0.8 to 0.85, yielding configurations largely consistent with existing results.</p>
<p>Robustness tests revealed no substantial deviation in configuration paths, maintaining a clear subset relationship with the original solution, indicating stable findings.</p>
<p>Notably, the stricter parameter threshold essentially eliminated peripheral solutions while preserving core configurations that satisfy enhanced logical rigor (<xref ref-type="bibr" rid="ref18">18</xref>). This strategic refinement confirms the persistence of core causal configurations under stricter analysis. Based on these tests, the study&#x2019;s findings demonstrate robustness.</p>
</sec>
</sec>
<sec id="sec30">
<label>5</label>
<title>Discussion and implications</title>
<sec id="sec31">
<label>5.1</label>
<title>Main findings</title>
<p>Based on the TOE framework, this study uses fuzzy set qualitative comparative analysis (fsQCA) to explore the group relationship between urban&#x2013;rural basic public service allocation and urban&#x2013;rural income disparity in the Yangtze River Delta (YRD) urban agglomeration and finds that both the high urban&#x2013;rural income disparity and the non-high urban&#x2013;rural income disparity are caused by multifactorial interactions, and there is a differentiated driving path.</p>
<p>The high urban&#x2013;rural income gap is driven by three types of groupings: first, the path of insufficient public services and digital infrastructure, characterized by a core lack of public service expenditures and Internet penetration, and the superimposition of marginal conditions such as poor government-business relations and weak human capital; second, the path of scarcity of total factor resources, which presents a lack of total factors such as the fiscal self-sufficiency rate, per capita GDP, and public service expenditures; and, third, the path of fiscal and economic decline accompanied by a lack of human capacity in the system. The third is the path of fiscal and economic recession accompanied by institutional manpower shortage, characterized by the core lack of fiscal self-sufficiency rate and GDP per capita, accompanied by the irregularity of government-business relations and the loss of human capital.</p>
<p>Three types of paths exist for non-high urban&#x2013;rural income gaps: digital technology synergy of financial capacity, synergistic promotion of financial digital services, and public service-led human capital support. The study shows that single conditions are not necessary for the urban&#x2013;rural income gap and that the grouping effects of technological, organizational, and environmental conditions are key, providing a non-linear explanatory framework for urban&#x2013;rural integration policies.</p>
</sec>
<sec id="sec32">
<label>5.2</label>
<title>Theoretical implications</title>
<p>This study combines the TOE framework with the fsQCA method, breaks through the theoretical limitations of traditional linear causal logic, and provides a new theoretical perspective of &#x201C;group dependence&#x201D; for the study of the urban&#x2013;rural income gap. Existing literature mostly focuses on the influence of single factors such as education investment, city size, and social security level on the urban&#x2013;rural income gap but seldom explores the interaction mechanism of technology, organization, and environmental conditions. This study confirms that the formation of the urban&#x2013;rural income gap is not the result of a single condition but the product of the synergy or substitution of multiple groupings of technological, organizational, and environmental conditions, which expands the boundary of the application of the TOE framework in the field of public services and provides a theoretical paradigm for the understanding of non-linear causality of complex social phenomena.</p>
<p>At the methodological level, the study identifies the differentiated driving paths of the high urban&#x2013;rural income gap and the non-high urban&#x2013;rural income gap through the fsQCA method, revealing the characteristic of &#x201C;multiple concurrent causation,&#x201D; and fills the gap in the traditional measurement method in terms of capturing the conditional combination effect of urban&#x2013;rural basic public services. This research paradigm, which combines the TOE framework with group analysis, not only enriches the multidimensional analytical framework of urban&#x2013;rural disparity research but also provides methodological innovations for the study of complex issues in the field of public services.</p>
</sec>
<sec id="sec33">
<label>5.3</label>
<title>Policy and administrative implications</title>
<p>The study provides systematic governance ideas for cracking the urban&#x2013;rural dichotomy: in the technological dimension, accelerating the penetration of digital technology and talent cultivation in rural areas, and breaking through geographic boundaries through digital services such as educational resource sharing platforms and telemedicine; in the organizational dimension, focusing on innovations in governmental governance and resource allocation, for example, linking public service expenditures to the degree of standardization of the relationship between the government and the business sector; in the environmental dimension, building a collaborative governance network of public services across administrative regions based on the strategy of regional economic integration. In the environmental dimension, relying on the regional economic integration strategy, a collaborative governance network of public services across administrative regions is constructed. This kind of systematic governance idea can fundamentally break down the systemic barriers of non-equalization of urban and rural public services, provide practical inspiration for the integrated development of urban and rural areas in the new era, and provide practical paths for realizing the goal of common prosperity.</p>
<sec id="sec34">
<label>5.3.1</label>
<title>Implications for technology policy</title>
<p>The three types of high urban&#x2013;rural income disparity groupings identified in the study provide a grouping tool for &#x201C;problem diagnosis&#x201D; in the precise design of policies. For example, for Xuzhou in northern Jiangsu Province and other areas with &#x201C;insufficient public services and digital infrastructure,&#x201D; we can increase investment in rural digital infrastructure (e.g., 5G networks, e-commerce platforms) and set up a mechanism for cross-regional collaboration in the provision of public services in the Yangtze River Delta; for Chuzhou in Anhui Province and other cities with &#x201C;a lack of factor resources,&#x201D; we need to enhance economic capacity through industrial cooperation parks and set up a mechanism for the provision of public services across the Yangtze River Delta. For &#x201C;total factor resource-poor&#x201D; cities such as Chuzhou in Anhui Province, it is necessary to enhance the economic capacity through industrial cooperation parks and at the same time, set up a special fund for fiscal transfers to clarify the rigid proportion of rural public service expenditures. This kind of policy intervention based on group characteristics can break through the traditional &#x201C;one-size-fits-all&#x201D; policy model and realize the precision and efficiency of resource allocation.</p>
</sec>
<sec id="sec35">
<label>5.3.2</label>
<title>Implications for fiscal governance</title>
<p>The empirical analysis of the Yangtze River Delta Urban Agglomeration shows that the formation of non-high urban&#x2013;rural income disparity relies on multiple paths, such as technological, organizational, and environmental conditions. This conclusion provides differentiated references for regions at different stages of development: economically developed regions (e.g., Shanghai Qingpu) can deepen the cross-regional fiscal synergy mechanism and incorporate digital infrastructure standards into the framework of urban&#x2013;rural public service integration; manufacturing powerhouse cities (e.g., Suzhou) can optimize their fiscal expenditure structure and establish precise supply mechanisms such as digital service vouchers; and human capital-rich regions (e.g., Changzhou) need to strengthen the linkage between public services and vocational skills training, and enhance the efficiency of resource allocation through the human capital points system. This kind of policy adaptation based on regional grouping characteristics can effectively promote the deep coupling of urban&#x2013;rural integration policies with local development conditions.</p>
</sec>
</sec>
</sec>
<sec id="sec36">
<label>6</label>
<title>Limitations and future research</title>
<p>This study uses the TOE framework to investigate the urban&#x2013;rural income difference in the Yangtze River Delta. However, due to limitations in research design and data availability, further research is needed in certain areas. The study focuses on typical scenarios of the YRD urban agglomeration. While it can provide insight into urban&#x2013;rural integration and synergistic growth of regional institutions, the sample&#x2019;s regional distinctiveness may limit the generalizability of the findings. For example, the YRD region generally has a high rate of financial self-sufficiency and a strong foundation of digital governance, whereas less developed regions in the central and western regions may be more constrained by a lack of financial capacity and the rigidity of the household registration system (<xref ref-type="bibr" rid="ref58">58</xref>), and the driving patterns and inhibiting paths of the urban&#x2013;rural gap may show significant differences. Future research could expand to regional comparisons across economic gradients to reveal the differentiating effects of public service patterns at different stages of development.</p>
<p>Second, the study uses cross-sectional data to characterize static group relationships, which does not capture the dynamic lags of policy effects. For example, the &#x201C;N-curve&#x201D; effect of industrial structure upgrading on the urban&#x2013;rural income gap (<xref ref-type="bibr" rid="ref27">27</xref>) and the release of long-term dividends from the reform of the household registration system need to be tracked and observed through panel data. In the future, a more comprehensive analytical framework can be constructed by introducing a dynamic assessment model and combining it with policy text analysis.</p>
<p>Overall, this study provides a regional paradigm for the study of the configuration of the urban&#x2013;rural income gap, and future studies can further reveal the spatial and temporal evolution of urban&#x2013;rural basic public services on the urban&#x2013;rural income gap through the expansion of samples and dynamic tracking in order to provide more generalized theoretical support for the precise design of urban&#x2013;rural integration policies.</p>
</sec>
</body>
<back>
<sec sec-type="data-availability" id="sec37">
<title>Data availability statement</title>
<p>The original contributions presented in the study are included in the article/supplementary material, further inquiries can be directed to the corresponding author.</p>
</sec>
<sec sec-type="author-contributions" id="sec38">
<title>Author contributions</title>
<p>QH: Methodology, Writing &#x2013; original draft, Data curation. TD: Formal analysis, Conceptualization, Writing &#x2013; review &#x0026; editing. CG: Supervision, Writing &#x2013; review &#x0026; editing.</p>
</sec>

<ack><title>Acknowledgments</title>
<p>The authors would like to thank all the editors and reviewers for their suggestions.</p>
</ack>
<sec sec-type="COI-statement" id="sec40">
<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="sec41">
<title>Generative AI statement</title>
<p>The author(s) declare that no Gen AI was used in the creation of this manuscript.</p>
<p>Any alternative text (alt text) provided alongside figures in this article has been generated by Frontiers with the support of artificial intelligence and reasonable efforts have been made to ensure accuracy, including review by the authors wherever possible. If you identify any issues, please contact us.</p>
</sec>
<sec sec-type="disclaimer" id="sec42">
<title>Publisher&#x2019;s note</title>
<p>All claims expressed in this article are solely those of the authors and do not necessarily represent those of their affiliated organizations, or those of the publisher, the editors and the reviewers. Any product that may be evaluated in this article, or claim that may be made by its manufacturer, is not guaranteed or endorsed by the publisher.</p>
</sec>
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</ref-list><fn-group><fn id="fn0001" fn-type="custom" custom-type="edited-by"><p>Edited by: <ext-link ext-link-type="uri" xlink:href="https://loop.frontiersin.org/people/1990243/overview">Xin Long Xu</ext-link>, Hunan Normal University, China</p></fn>
<fn id="fn0002" fn-type="custom" custom-type="reviewed-by"><p>Reviewed by: <ext-link ext-link-type="uri" xlink:href="https://loop.frontiersin.org/people/773361/overview">Mack Shelley</ext-link>, Iowa State University, United States; <ext-link ext-link-type="uri" xlink:href="https://loop.frontiersin.org/people/1876946/overview">Fakhr E. Alam Afridi</ext-link>, National University of Modern Languages, Pakistan</p></fn></fn-group></back>
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