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<journal-id journal-id-type="publisher-id">Front. Sustain. Food Syst.</journal-id>
<journal-title>Frontiers in Sustainable Food Systems</journal-title>
<abbrev-journal-title abbrev-type="pubmed">Front. Sustain. Food Syst.</abbrev-journal-title>
<issn pub-type="epub">2571-581X</issn>
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<publisher-name>Frontiers Media S.A.</publisher-name>
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<article-id pub-id-type="doi">10.3389/fsufs.2025.1649953</article-id>
<article-categories>
<subj-group subj-group-type="heading">
<subject>Sustainable Food Systems</subject>
<subj-group>
<subject>Original Research</subject>
</subj-group>
</subj-group>
</article-categories>
<title-group>
<article-title>Digital factors spur rural industrial integration: mediating roles of rural entrepreneurship and agricultural innovation in China</article-title>
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<contrib contrib-type="author">
<name><surname>Jia</surname><given-names>Xingmei</given-names></name>
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<name><surname>Zhu</surname><given-names>Tingting</given-names></name>
<xref ref-type="corresp" rid="c001"><sup>&#x002A;</sup></xref>
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<aff><institution>School of Business, Anhui University of Technology, Anhui University of Technology</institution>, <addr-line>Ma'anshan</addr-line>, <country>China</country></aff>
<author-notes>
<fn fn-type="edited-by" id="fn0001">
<p>Edited by: <ext-link ext-link-type="uri" xlink:href="https://loop.frontiersin.org/people/3107383/overview">Prince Gyimah</ext-link>, Akenten Appiah-Menka University of Skills Training and Entrepreneurial Development, Ghana</p></fn>
<fn fn-type="edited-by" id="fn0002">
<p>Reviewed by: <ext-link ext-link-type="uri" xlink:href="https://loop.frontiersin.org/people/3001338/overview">Listowel Owusu Appiah</ext-link>, Akenten Appiah-Menka University of Skills Training and Entrepreneurial Development, Ghana</p>
<p><ext-link ext-link-type="uri" xlink:href="https://loop.frontiersin.org/people/3110244/overview">Morrisson Gouthon</ext-link>, Universit&#x00E9; de Parakou, Benin</p></fn>
<corresp id="c001">&#x002A;Correspondence: Tingting Zhu, <email>zhutingting@ahut.edu.cn</email></corresp>
</author-notes>
<pub-date pub-type="epub">
<day>15</day>
<month>09</month>
<year>2025</year>
</pub-date>
<pub-date pub-type="collection">
<year>2025</year>
</pub-date>
<volume>9</volume>
<elocation-id>1649953</elocation-id>
<history>
<date date-type="received">
<day>19</day>
<month>06</month>
<year>2025</year>
</date>
<date date-type="accepted">
<day>01</day>
<month>09</month>
<year>2025</year>
</date>
</history>
<permissions>
<copyright-statement>Copyright &#x00A9; 2025 Jia and Zhu.</copyright-statement>
<copyright-year>2025</copyright-year>
<copyright-holder>Jia and Zhu</copyright-holder>
<license xlink:href="http://creativecommons.org/licenses/by/4.0/">
<p>This is an open-access article distributed under the terms of the Creative Commons Attribution License (CC BY). The use, distribution or reproduction in other forums is permitted, provided the original author(s) and the copyright owner(s) are credited and that the original publication in this journal is cited, in accordance with accepted academic practice. No use, distribution or reproduction is permitted which does not comply with these terms.</p>
</license>
</permissions>
<abstract>
<p>The integration of digital technologies into rural industries is reshaping traditional development pathways, giving rise to novel sectors and innovative business models. Using a balanced panel dataset comprising observations from 30 Chinese provinces over the period 2013&#x2013;2021, we analyze a structured sample encompassing agricultural professional cooperatives, family farms, new professional farmers, agricultural enterprises, and ordinary farmers. We utilize a mediation model to identify the channels through which digital factors facilitate rural industrial integration (RI), emphasizing rural entrepreneurship and agricultural innovation. Our analysis demonstrates that digital factors significantly enhances RI, notably in China&#x2019;s central region and major grain-producing areas. We highlight rural entrepreneurship and agricultural innovation as crucial mediators, with regional disparities in their relative importance. Specifically, rural entrepreneurship exerts a stronger mediating influence in eastern regions and non-major grain-producing areas, while agricultural innovation plays a dominant mediating role in central and major grain-producing regions. Our findings advocate for intensified digital integration within rural economies, targeted enhancements in agricultural innovation, and strengthened entrepreneurial ecosystems to further elevate RI.</p>
</abstract>
<kwd-group>
<kwd>digital factors</kwd>
<kwd>rural industrial integration</kwd>
<kwd>rural entrepreneurship</kwd>
<kwd>agricultural innovation</kwd>
<kwd>regional development disparities</kwd>
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<meta-name>section-at-acceptance</meta-name>
<meta-value>Agricultural and Food Economics</meta-value>
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</front>
<body>
<sec sec-type="intro" id="sec1">
<label>1</label>
<title>Introduction</title>
<p>Rural industrial integration (RI) denotes the transformation of rural economies beyond traditional agricultural production through the convergence of agriculture with processing, services, and other related sectors. By extending value chains, broadening industrial scope, and redefining industrial functions, this process fosters the integration of agriculture with activities such as agri-food processing, distribution, rural tourism, cultural services, healthcare, and e-commerce. The result is the emergence of a modern rural industrial system characterized by complete value chains, functional diversification, rich industrial forms, and closely aligned stakeholder interests. At its core, RI seeks to transcend the conventional single-function model of agriculture, enabling the coordinated development of primary, secondary, and tertiary industries in rural areas. This integrated approach enhances agricultural value addition, increases rural incomes, and serves as a vital driver of rural revitalization.</p>
<p>As the digital economy progresses, the integration of rural industries in China is increasingly seeking a harmonious balance between disparate sectors and regions (<xref ref-type="bibr" rid="ref58">Yu and Wu, 2023</xref>; <xref ref-type="bibr" rid="ref60">Zhang L. et al., 2023</xref>; <xref ref-type="bibr" rid="ref61">Zhang Z. P. et al., 2023</xref>). Nevertheless, RI in China remains at a relatively low level, with pronounced disparities across regions (<xref ref-type="bibr" rid="ref60">Zhang L. et al., 2023</xref>; <xref ref-type="bibr" rid="ref61">Zhang Z. P. et al., 2023</xref>; <xref ref-type="bibr" rid="ref32">Meng, 2025</xref>), this evolution has been accompanied by significant challenges, notably the migration of high-quality resources from rural areas to urban centers, which has led to the depletion of rural vitality (<xref ref-type="bibr" rid="ref28">Li T. et al., 2022</xref>). In response, China&#x2019;s rural revitalization strategy, leveraging policies to enhance the allocation of talent, land, and financial resources, aims to reverse these trends and deepen industrial integration through the strategic deployment of talent, technology, and information (<xref ref-type="bibr" rid="ref68">Zhu et al., 2022</xref>; <xref ref-type="bibr" rid="ref47">Wang X. et al., 2023</xref>; <xref ref-type="bibr" rid="ref49">Wang R. et al., 2023</xref>). The digital economy plays a vital role in advancing both urban&#x2013;rural integration and RI (<xref ref-type="bibr" rid="ref7">Gao et al., 2025</xref>; <xref ref-type="bibr" rid="ref66">Zhou et al., 2024</xref>; <xref ref-type="bibr" rid="ref48">Wang et al., 2025</xref>; <xref ref-type="bibr" rid="ref17">Jia and Zhu, 2024</xref>). Its transformative impact on agriculture and its capacity to foster RI underscore the need to prioritize talent development and innovation (<xref ref-type="bibr" rid="ref54">Xu, 2022</xref>; <xref ref-type="bibr" rid="ref62">Zhang et al., 2022</xref>; <xref ref-type="bibr" rid="ref15">Huang et al., 2023</xref>). By enhancing technological innovation and entrepreneurial activity, the digital economy has become a key mechanism for promoting RI (<xref ref-type="bibr" rid="ref33">Meng et al., 2023</xref>; <xref ref-type="bibr" rid="ref59">Yuan and Sun, 2024</xref>). Notably, emerging research suggests that the influence of digital factors on RI is not uniform but varies significantly across geographic regions, shaped by differences in digital infrastructure, innovation ecosystems, and socio-economic conditions (<xref ref-type="bibr" rid="ref66">Zhou et al., 2024</xref>). This heterogeneity underscores the importance of examining regional contexts when evaluating digital empowerment&#x2019;s impact on rural integration.</p>
<p>This study proposes to examine the impact of digital technology on RI from the perspectives of rural entrepreneurship and agricultural innovation. The return of entrepreneurs&#x2014;including migrant workers, university graduates, and science and technology professionals&#x2014;to their hometowns has led to a marked increase in agricultural innovation and entrepreneurship (<xref ref-type="bibr" rid="ref44">Wahab et al., 2023</xref>; <xref ref-type="bibr" rid="ref40">Shan et al., 2023</xref>). This return-driven entrepreneurship fosters RI by promoting novel business models and stimulating innovative capacity, with demonstrable positive spatial spillover effects (<xref ref-type="bibr" rid="ref6">Fang et al., 2025</xref>).</p>
<p>This paper questions the extent to which rural entrepreneurship and innovation, fueled by digital technology, can significantly influence RI. It critiques the traditional metrics of educational attainment as inadequate for gauging the impact of rural entrepreneurship and agricultural innovation. Instead, it offers an in-depth analysis of how digital empowerment can facilitate the integration of rural industries, proposing a conceptual framework to understand this relationship. Recent studies underscore the transformative role of digital technology in enhancing entrepreneurial ventures, particularly within rural family businesses. <xref ref-type="bibr" rid="ref11">Han and Guo (2022)</xref>, alongside <xref ref-type="bibr" rid="ref45">Wang and Cai (2022)</xref>, argue that digitization fosters family entrepreneurship, although this potential is modulated by factors such as domicile registration and age. These constraints notwithstanding, the depth of digital technology adoption emerges as a pivotal driver for rural entrepreneurial ventures (<xref ref-type="bibr" rid="ref11">Han and Guo, 2022</xref>; <xref ref-type="bibr" rid="ref45">Wang and Cai, 2022</xref>). <xref ref-type="bibr" rid="ref30">Liu (2022)</xref> extends this discourse by illustrating how digitization fuels entrepreneurial zeal in the labor market, facilitating growth through technological innovation (<xref ref-type="bibr" rid="ref30">Liu, 2022</xref>). This body of research collectively affirms the positive correlation between digitization and entrepreneurial activity (<xref ref-type="bibr" rid="ref38">Runck et al., 2022</xref>), while also noting its heterogeneity and spatial spillover effects. Moreover, the digital economy&#x2019;s capacity to enhance regional entrepreneurial dynamism is increasingly evident, acting through the conduit of regional innovation efficiency (<xref ref-type="bibr" rid="ref28">Li T. et al., 2022</xref>; <xref ref-type="bibr" rid="ref10">Guo and Zhu, 2022</xref>). <xref ref-type="bibr" rid="ref36">Ren (2022)</xref> broadens this perspective by asserting that the digital economy catalyzes innovative development across a spectrum of areas&#x2014;technology, industry sectors, business models, and product innovations (<xref ref-type="bibr" rid="ref36">Ren, 2022</xref>). This multi-faceted growth is propelled by factor expansion, steering economic growth models towards a new paradigm characterized by a dual thrust of factor-driven and innovation-driven strategies. This shift signifies a movement from quantitative expansion to qualitative enhancement, marking a pivotal phase in the co-evolution of scale and scope economies (<xref ref-type="bibr" rid="ref55">Yang and Chen, 2022</xref>; <xref ref-type="bibr" rid="ref24">Li and He, 2021</xref>; <xref ref-type="bibr" rid="ref63">Zhao and Fang, 2023</xref>).</p>
<p>Recent literature underscores the pivotal role of innovation in propelling RI forward. <xref ref-type="bibr" rid="ref42">Tian and Xie (2020)</xref> highlight that various forms of innovation uniformly bolster RI (<xref ref-type="bibr" rid="ref42">Tian and Xie, 2020</xref>), evidencing a synergy among diverse innovative activities in driving RI&#x2019;s development (<xref ref-type="bibr" rid="ref15">Huang et al., 2023</xref>). Concurrently, <xref ref-type="bibr" rid="ref46">Wang et al. (2021)</xref> delineate how multidimensional innovation&#x2014;stimulated by both internal and external factors&#x2014;facilitates the convergence of technology, products, business strategies, and market dynamics. This convergence, enriched by market dynamics, talent, and social spillover effects, emerges as a critical catalyst for RI (<xref ref-type="bibr" rid="ref46">Wang et al., 2021</xref>). Yet, a significant gap remains in understanding how these dynamics play out across different regional contexts. The spatially uneven distribution of digital infrastructure and innovation capabilities suggests that region-specific analysis is essential to uncovering the full spectrum of digital technology&#x2019;s influence on RI (<xref ref-type="bibr" rid="ref6">Fang et al., 2025</xref>). Notably, existing research traverses the impact of digitalization on entrepreneurial enthusiasm and the influence of entrepreneurship and innovation on RI. Yet, the interrelation between digital technologies, rural entrepreneurship, innovation, and the development of RI remains underexplored. What is particularly lacking is an understanding of how digital factors translate into integration outcomes&#x2014;through which processes and intermediating dynamics these effects unfold. To address this, our study adopts a mediation perspective, not merely to observe correlations, but to uncover the causal pathways that link digitalization to RI. Mediation analysis allows us to disentangle indirect effects&#x2014;via rural entrepreneurship and agricultural innovation&#x2014;from direct influences, providing insight into the underlying mechanisms. This paper seeks to bridge this gap by delving into how digital factors enhance RI, specifically through the lenses of rural entrepreneurship and agricultural innovation. Our study aims to elucidate the mechanisms and pathways through which digitalization fosters RI, offering new perspectives on leveraging technology for rural development.</p>
<p>This study sets out to achieve two primary objectives within the context of RI. First, it aims to elucidate the mechanisms and pathways through which digital factors influence RI, leveraging insights from rural entrepreneurship and agricultural innovation. This approach not only broadens the scope of inquiry but also contributes novel perspectives to the existing body of research on digital transformation&#x2019;s role in rural economies. Second, this study seeks to provide an empirical foundation for shaping the future trajectory and objectives of digital interventions in RI, with a particular focus on understanding related heterogeneities. Specifically, it acknowledges the differentiated nature of digital impact across China&#x2019;s diverse economic landscapes, examining regional disparities by analyzing three major regions and principal grain-producing areas. Simultaneously, it delves into dimensional heterogeneities, encompassing the infrastructure, technology level, efficiency, and services of digital products. Through this dual lens, this study intends to offer actionable insights for tailoring digital strategies to the diverse needs and potentials of rural areas, thereby fostering a more nuanced and effective integration of digital technologies into the rural industrial framework.</p>
<p>This paper is structured to logically advance from theoretical grounding to empirical validation and practical implications. Section 2 presents the theoretical analysis and develops the research hypotheses. It explores the underlying mechanisms through which digital factors may influence RI, emphasizing the mediating roles of rural entrepreneurship and agricultural innovation. Section 3 outlines the research design, including the study area, sample selection, variable definitions, data sources, and the methodological approach. Section 4 reports the empirical results, testing the proposed hypotheses through analyses conducted at the national, regional, and dimensional levels. A panel quantile regression is employed to ensure robustness and to capture heterogeneity in the digital-RI relationship across contexts. Finally, Section 5 synthesizes the theoretical and empirical insights, discusses the broader implications, articulates policy recommendations, and acknowledges limitations, offering directions for future research.</p>
</sec>
<sec id="sec2">
<label>2</label>
<title>Theoretical analysis and research hypotheses</title>
<sec id="sec3">
<label>2.1</label>
<title>The mediating effect of rural entrepreneurship</title>
<p>In the Chinese context, rural entrepreneurship extends beyond traditional agriculture to encompass a broad range of industrial and commercial activities. Typically organized around family-based units, rural entrepreneurship is characterized by the mobilization of entrepreneurial capital and capabilities to identify opportunities, reallocate resources, innovate business models, and pioneer emerging sectors (<xref ref-type="bibr" rid="ref53">Xiong and Huang, 2022</xref>; <xref ref-type="bibr" rid="ref23">Li X. et al., 2022</xref>). This dynamic not only enhances economic diversification but also expands employment opportunities and increases rural incomes. Effective rural entrepreneurship thus plays a pivotal role in driving local economic transformation and unlocking the developmental potential of rural regions (<xref ref-type="bibr" rid="ref51">Wei et al., 2023</xref>).</p>
<p>Digital technologies have increasingly become pivotal in transforming rural entrepreneurial activities, offering profound impacts across various dimensions, including opportunities, costs, and risks associated with entrepreneurship (<xref ref-type="bibr" rid="ref64">Zhao et al., 2023</xref>; <xref ref-type="bibr" rid="ref39">Samudra, 2023</xref>). Notably, digitalization facilitates the emergence of innovative business models and operations (<xref ref-type="bibr" rid="ref1">Ajide and Osinubi, 2023</xref>; <xref ref-type="bibr" rid="ref22">Li, 2023</xref>; <xref ref-type="bibr" rid="ref27">Li Y. et al., 2022</xref>), exemplified by initiatives like rural Taobao and direct-to-consumer sales models. This evolution, coupled with the integration of online and offline channels, broadens the horizon of entrepreneurial ventures, unlocking new opportunities and bolstering entrepreneurial engagement in rural areas. On the dimension of costs and risks (<xref ref-type="bibr" rid="ref50">Wanming et al., 2023</xref>), advancements in rural infrastructure alongside the pervasive use of internet and mobile platforms significantly streamline transactional processes and information searches for financial services, thereby reducing associated costs (<xref ref-type="bibr" rid="ref35">Ozgen, 2022</xref>). Big data platforms enhance transparency around enterprise credit information, mitigating risks linked to information asymmetry. Furthermore, the application of big data analytics substantially lowers the barriers to risk assessment in rural entrepreneurial ventures, rendering a more conducive environment for business operations. Consequently, digital technologies not only furnish a robust platform for production and sales but also curtail entrepreneurial costs and risks, thereby energizing rural entrepreneurship. The dynamism in rural entrepreneurship, fueled by increased opportunities and reduced costs and risks, catalyzes employment creation, fosters integration across agricultural and other industrial sectors, and augments rural incomes. This synergy cultivates a self-reinforcing cycle that propels the rural economy forward (<xref ref-type="bibr" rid="ref23">Li X. et al., 2022</xref>; <xref ref-type="bibr" rid="ref53">Xiong and Huang, 2022</xref>). Based on this analysis, we posit our first hypothesis:</p>
<disp-quote>
<p><italic>Hypothesis 1 (H1):</italic> Digital factors positively influence the development of RI by augmenting rural entrepreneurial vitality, with rural entrepreneurship serving as a mediating factor in the relationship between digital factors and RI.</p>
</disp-quote>
</sec>
<sec id="sec4">
<label>2.2</label>
<title>The mediating effect of agricultural innovation</title>
<p>Agricultural innovation is inherently multidimensional, with existing scholarship identifying five key domains: the restructuring of agricultural practices, novel recombination within agricultural systems, synergistic effects arising from the transformation of production factors, systemic innovations in agricultural management, and challenge-driven innovation in response to sector-specific constraints (<xref ref-type="bibr" rid="ref65">Zhao et al., 2020</xref>).</p>
<p>The infusion of innovative factors and the stimulation of external market demand are pivotal in catalyzing innovation activities. These dynamics foster investments in research and development, elevate the modernization of agriculture, and consequently, facilitate RI (<xref ref-type="bibr" rid="ref25">Li et al., 2023</xref>). Three primary mechanisms underlie this process: Firstly, the proliferation of digital factors increases the availability of novel inputs and leverages digital technologies to heighten capital allocation efficiency (<xref ref-type="bibr" rid="ref3">Cui and Wang, 2023</xref>). This enhancement allows rural finances to exert a more substantial impact, augmenting the efficiency of modern agricultural production and fostering a more integrated development of rural tertiary industries (<xref ref-type="bibr" rid="ref14">Hu et al., 2023</xref>). Secondly, the expansion of digital factors, coupled with the adoption of digital technologies, bolsters the level of rural human capital and innovation efficiency. This dynamic propels technological advancements in agriculture, contributing to the deeper development of RI (<xref ref-type="bibr" rid="ref52">Wu et al., 2021</xref>). Thirdly, the escalation in digital factor inputs diversifies consumption patterns, sparking the emergence and adoption of new consumption methods and technological innovations. These innovations stimulate activities that upgrade the industrial structure and amplify the level of RI (<xref ref-type="bibr" rid="ref56">Yang and Wang, 2022</xref>). Based on these observations, we articulate our second hypothesis:</p>
<disp-quote>
<p><italic>Hypothesis 2 (H2):</italic> Digital factors positively impact the development of RI by fostering agricultural innovation. Furthermore, agricultural innovation serves as a mediating factor in the relationship between digital factors and RI.</p>
</disp-quote>
</sec>
</sec>
<sec id="sec5">
<label>3</label>
<title>Research methodology</title>
<sec id="sec6">
<label>3.1</label>
<title>Study area and sample selection</title>
<p>This study focuses on 30 provincial-level administrative regions in mainland China from 2013 to 2021. Tibet, Hong Kong, Macao, and Taiwan are excluded due to limitations in data availability and institutional comparability. Specifically, Tibet&#x2019;s unique geographical and agricultural conditions, along with differences in statistical standards, impede data consistency. Hong Kong and Macao, as special administrative regions with minimal agricultural contributions to GDP and distinct statistical systems, are not included. Data from Taiwan remain inaccessible due to institutional constraints.</p>
<p>The research sample encompasses key actors in RI: agricultural enterprises, professional cooperatives, family farms, newly emerging professional farmers, and smallholder farmers. These entities represent the principal agents driving the convergence of agriculture with secondary and tertiary industries.</p>
<p>Agricultural enterprises serve as core coordinators, functioning simultaneously as organizers of the industrial chain, enhancers of the value chain, and architects of the benefit-sharing mechanism. Professional cooperatives facilitate centralized production and modern agricultural management, playing a pivotal role in industrial organization. Family farms, as the smallest operational units, bridge the upstream demands of enterprises and cooperatives with the heterogeneity of individual households. New professional farmers act as catalysts of innovation, embedding technological capabilities into rural industrial systems and accelerating industrial upgrading. Smallholder farmers constitute the foundational base upon which all integrative processes rely.</p>
</sec>
<sec id="sec7">
<label>3.2</label>
<title>Variable description</title>
<p>The operationalization of RI, the core variable of our study, draws upon the comprehensive framework proposed by <xref ref-type="bibr" rid="ref29">Li and Xu (2020)</xref>. This framework, informed by an extensive review of the literature and a nuanced understanding of RI&#x2019;s multifaceted nature (<xref ref-type="bibr" rid="ref12">Hao et al., 2023</xref>; <xref ref-type="bibr" rid="ref2">Cui et al., 2022</xref>; <xref ref-type="bibr" rid="ref26">Li and Liu, 2021</xref>), constructs an indicator system that captures the essence of RI from several dimensions. These dimensions include: Firstly, integration subjects. This category encompasses entities such as agricultural professional cooperatives, family farms, new professional farmers, agricultural enterprises, and ordinary farmers, highlighting the diverse actors involved in RI. Secondly, the integration environment. This dimension reflects the contextual factors that facilitate or hinder RI, including policy and financial environments, infrastructure quality, and market demand. Thirdly, integration methods. It looks at the strategies employed to achieve RI, focusing on industrial chain extension and the promotion of service industry leadership. Fourthly, integration dynamics: This aspect examines the forces driving RI forward, such as technological innovation, diffusion, and industrial restructuring. Finally, integration effects. The outcomes of RI, including improvements in agricultural efficiency, rural prosperity, and farmer income, are assessed under this dimension.</p>
<p>Digital factors, representing a unique category of production resources, are pivotal in driving productivity advancements (<xref ref-type="bibr" rid="ref26">Li and Liu, 2021</xref>). Recognizing their role as distinct production factor forms, this study constructs an indicator system for digital factors based on their multifaceted impact on the digital economy. This system is informed by the prevailing definitions and classifications within core digital economy sectors, encompassing a broad spectrum of dimensions: Firstly, digital infrastructure captures the foundational elements of digitalization, including hardware, software, information network facilities, and the level of logistics infrastructure, all of which are essential for enabling digital activities (<xref ref-type="bibr" rid="ref18">Kai et al., 2022</xref>). Secondly, digital technology encompasses the adoption and application of advanced information networks, information and communication technologies (ICTs), and internet finance solutions, highlighting the technological underpinnings of digital transformation. Thirdly, digital efficiency evaluates the effectiveness of digitalization in agriculture, measuring the extent of agricultural digitization, digital transactions of agricultural products, and digital investments in the agricultural sector. Finally, digital product services assess the availability and consumption of digital services, including the expertise of digital professionals, consumption patterns of digital products, and the provision of digital technology services.</p>
<p>To quantitatively assess rural entrepreneurship, this study adopts a multifaceted measurement framework encompassing key indicators of entrepreneurial scope and success. These include enterprise performance, land transfers exceeding 10 acres, annual agricultural incomes surpassing CNY 50,000 (<xref ref-type="bibr" rid="ref53">Xiong and Huang, 2022</xref>), participation in individual or private enterprises (<xref ref-type="bibr" rid="ref29">Li and Xu, 2020</xref>), and operational scales exceeding four times the per capita arable land (<xref ref-type="bibr" rid="ref31">Liu and Qian, 2022</xref>). Recognizing the predominance of individual businesses and private enterprises in China&#x2019;s rural entrepreneurial landscape&#x2014;and the limited availability of disaggregated data on private investors&#x2014;we use employment figures from these entities as a proxy for entrepreneurial activity. Specifically, we define rural entrepreneurship as the ratio of employment in private enterprises and individual businesses to the total rural population (<xref ref-type="bibr" rid="ref16">Ji et al., 2023</xref>), offering a novel and practical metric for capturing entrepreneurial dynamics. While this approach reflects broad patterns of formal entrepreneurship, it does not capture informal or unregistered entrepreneurial activities, which remain significant but are absent from official statistics.</p>
<p>To quantify agricultural innovation, prior studies have employed a range of indicators, including innovation efficiency, total factor productivity in agriculture (<xref ref-type="bibr" rid="ref52">Wu et al., 2021</xref>), investment in agricultural R&#x0026;D, the number of agricultural invention patents granted, and the introduction of new crop varieties (<xref ref-type="bibr" rid="ref56">Yang and Wang, 2022</xref>). These metrics capture diverse dimensions of the agricultural innovation landscape&#x2014;from tangible outputs such as patents and new varieties to broader systemic measures such as productivity and efficiency. While informative, each indicator reflects only a subset of the innovation process and may not fully capture the scope and complexity of innovation activities across the sector. To address this, our analysis employs agricultural patents as a proxy for the level of agricultural innovation, guided by two primary considerations. First, the utilization of patent data offers a high degree of comparability across different regions within the same country due to uniform patent authorization regulations. This consistency ensures that the comparison of patent activities across domestic regions is both valid and robust. Second, despite the diversity of patent types, including invention patents and utility models, and the absence of a specific international classification standard exclusively for agricultural patents, the international patent classification system&#x2019;s Class A provides a relevant aggregation of patents in agriculture, forestry, animal husbandry, and related fields. Therefore, this study quantifies agricultural innovation by analyzing the proportion of invention and utility model patents granted in the agricultural sector relative to the total number of patents issued. Agricultural innovation is driven by a diverse set of actors, and not all forms of innovation are captured through formal metrics such as patent filings. Process innovations, organizational improvements, and non-technological advances often fall outside the scope of patent systems. Moreover, innovations arising from small-scale entrepreneurs and individual farmers are typically informal and seldom documented in official statistics, leading to a systematic underestimation of innovation activity within the sector.</p>
</sec>
<sec id="sec8">
<label>3.3</label>
<title>Data sources</title>
<p>The study covers the period from 2013 to 2021. Data on RI were drawn from a broad array of official sources, including the Rural Business Management Statistical Yearbook (2014&#x2013;2018), the China Rural Cooperative Economy Statistical Yearbook (2019&#x2013;2021), and other specialized yearbooks and sectoral reports that capture diverse dimensions of China&#x2019;s rural economy&#x2014;from policy frameworks to financial indicators and intellectual property. Supplementary data were obtained from the National Bureau of Statistics and provincial statistical yearbooks to ensure comprehensive coverage.</p>
<p>Digitalization indicators for the same period were primarily derived from the Peking University Digital Inclusive Finance Index, the China Statistical Yearbook, and regional statistical publications. Where necessary, gaps were filled using data from the National Bureau of Statistics, the Ministry of Commerce, and relevant research reports. Data on rural entrepreneurship were compiled from official statistics released by the National Bureau of Statistics, while agricultural innovation metrics were sourced from the China National Intellectual Property Administration&#x2019;s patent database.</p>
<p>The operationalization and measurement of all variables are detailed in <xref ref-type="table" rid="tab1">Table 1</xref>, reflecting the study&#x2019;s emphasis on methodological transparency and its commitment to accurately capturing the complexity of rural transformation processes.</p>
<table-wrap position="float" id="tab1">
<label>Table 1</label>
<caption>
<p>Overview of main variables and their measurement methods.</p>
</caption>
<table frame="hsides" rules="groups">
<thead>
<tr>
<th align="left" valign="top">Variables</th>
<th align="center" valign="top">Symbols</th>
<th align="left" valign="top">Specific measurement methods</th>
</tr>
</thead>
<tbody>
<tr>
<td align="left" valign="middle">Rural industrial integration</td>
<td align="center" valign="middle">
<inline-formula>
<mml:math id="M1">
<mml:mi mathvariant="italic">RI</mml:mi>
</mml:math>
</inline-formula>
</td>
<td align="left" valign="middle">Index system construction: A composite index reflecting the multifaceted dimensions of rural industrial integration.</td>
</tr>
<tr>
<td align="left" valign="middle">Digital factors</td>
<td align="center" valign="middle">
<inline-formula>
<mml:math id="M2">
<mml:mi mathvariant="italic">DF</mml:mi>
</mml:math>
</inline-formula>
</td>
<td align="left" valign="middle">Index system construction: A composite index capturing the extent and impact of digital technologies in rural areas.</td>
</tr>
<tr>
<td align="left" valign="middle">Rural entrepreneurship</td>
<td align="center" valign="middle">
<inline-formula>
<mml:math id="M3">
<mml:mi mathvariant="italic">RE</mml:mi>
</mml:math>
</inline-formula>
</td>
<td align="left" valign="middle">Employment ratio: The ratio of employment in rural private enterprises and individual businesses to the permanent rural population.</td>
</tr>
<tr>
<td align="left" valign="middle">Agricultural innovation</td>
<td align="center" valign="middle">
<inline-formula>
<mml:math id="M4">
<mml:mi mathvariant="italic">AI</mml:mi>
</mml:math>
</inline-formula>
</td>
<td align="left" valign="middle">Patent ratio: The proportion of agricultural patent authorizations to the total number of patent authorizations.</td>
</tr>
</tbody>
</table>
</table-wrap>
</sec>
<sec id="sec9">
<label>3.4</label>
<title>Methodological approach</title>
<p>This study investigates the mechanisms by which digital factors facilitate the integration of RI, with particular attention to the pathways through which digitalization enables this process. To elucidate these mechanisms, we adopt a mediation analysis framework, which allows us to examine not merely whether digital factors exert an influence, but how and why they do so. Unlike traditional regression models that focus on establishing the presence or magnitude of an effect, mediation models decompose the total effect of an independent variable (X) on a dependent variable (Y) into direct and indirect components. The indirect pathway captures the influence of X on Y via an intermediary variable (M), thereby uncovering latent mechanisms that may be obscured in standard causal inference. This analytical approach helps mitigate the risk of misattribution by explicitly modeling the processes underlying observed relationships. In this context, we identify rural entrepreneurship and agricultural innovation as key mediating variables linking digitalization to RI.</p>
<p>This modeling framework quantitatively captures both the direct and indirect effects of digital factors on RI, offering a structured approach to disentangle the complex interactions among digitalization, rural entrepreneurship, and agricultural innovation. The analytical model is specified through <xref ref-type="disp-formula" rid="EQ1 EQ2 EQ3">Equations 1&#x2013;3</xref> as follows:</p><disp-formula id="EQ1">
<label>(1)</label>
<mml:math id="M5">
<mml:mi>R</mml:mi>
<mml:msub>
<mml:mi>I</mml:mi>
<mml:mi mathvariant="italic">it</mml:mi>
</mml:msub>
<mml:mo>=</mml:mo>
<mml:msub>
<mml:mi>&#x03B1;</mml:mi>
<mml:mn>0</mml:mn>
</mml:msub>
<mml:mo>+</mml:mo>
<mml:msub>
<mml:mi>&#x03B1;</mml:mi>
<mml:mn>1</mml:mn>
</mml:msub>
<mml:mi mathvariant="italic">DF</mml:mi>
<mml:mo>+</mml:mo>
<mml:msub>
<mml:mi>&#x03B5;</mml:mi>
<mml:mi mathvariant="italic">it</mml:mi>
</mml:msub>
</mml:math>
</disp-formula><disp-formula id="EQ2">
<label>(2)</label>
<mml:math id="M6">
<mml:mi>R</mml:mi>
<mml:msub>
<mml:mi>E</mml:mi>
<mml:mi mathvariant="italic">it</mml:mi>
</mml:msub>
<mml:mo stretchy="true">(</mml:mo>
<mml:mi>A</mml:mi>
<mml:msub>
<mml:mi>I</mml:mi>
<mml:mi mathvariant="italic">it</mml:mi>
</mml:msub>
<mml:mo stretchy="true">)</mml:mo>
<mml:mo>=</mml:mo>
<mml:msub>
<mml:mi>&#x03B2;</mml:mi>
<mml:mn>0</mml:mn>
</mml:msub>
<mml:mo>+</mml:mo>
<mml:msub>
<mml:mi>&#x03B2;</mml:mi>
<mml:mn>1</mml:mn>
</mml:msub>
<mml:mi>D</mml:mi>
<mml:msub>
<mml:mi>F</mml:mi>
<mml:mi mathvariant="italic">it</mml:mi>
</mml:msub>
<mml:mo>+</mml:mo>
<mml:msub>
<mml:mi>&#x03B5;</mml:mi>
<mml:mi mathvariant="italic">it</mml:mi>
</mml:msub>
</mml:math>
</disp-formula><disp-formula id="EQ3">
<label>(3)</label>
<mml:math id="M7">
<mml:mi>R</mml:mi>
<mml:msub>
<mml:mi>I</mml:mi>
<mml:mi mathvariant="italic">it</mml:mi>
</mml:msub>
<mml:mo>=</mml:mo>
<mml:msub>
<mml:mi>&#x03B7;</mml:mi>
<mml:mn>0</mml:mn>
</mml:msub>
<mml:mo>+</mml:mo>
<mml:msub>
<mml:mi>&#x03B7;</mml:mi>
<mml:mn>1</mml:mn>
</mml:msub>
<mml:mi>D</mml:mi>
<mml:msub>
<mml:mi>F</mml:mi>
<mml:mi mathvariant="italic">it</mml:mi>
</mml:msub>
<mml:mo>+</mml:mo>
<mml:msub>
<mml:mi>&#x03B7;</mml:mi>
<mml:mn>2</mml:mn>
</mml:msub>
<mml:mi>R</mml:mi>
<mml:msub>
<mml:mi>E</mml:mi>
<mml:mi mathvariant="italic">it</mml:mi>
</mml:msub>
<mml:mo stretchy="true">(</mml:mo>
<mml:mi>A</mml:mi>
<mml:msub>
<mml:mi>I</mml:mi>
<mml:mi mathvariant="italic">it</mml:mi>
</mml:msub>
<mml:mo stretchy="true">)</mml:mo>
<mml:mo>+</mml:mo>
<mml:msub>
<mml:mi>&#x03B5;</mml:mi>
<mml:mi mathvariant="italic">it</mml:mi>
</mml:msub>
</mml:math>
</disp-formula>
<p>In this model, we delineate the relationships between digital factors, rural entrepreneurship, agricultural innovation, and RI through a series of equations. Each equation is designed to test a specific aspect of our hypothesis: <xref ref-type="disp-formula" rid="EQ1">Equation 1</xref> assesses the direct impact of digital factors on RI, aiming to establish a foundational understanding of how digitalization contributes to rural industrial development. <xref ref-type="disp-formula" rid="EQ2">Equation 2</xref> examines the influence of digital factors on rural entrepreneurship and agricultural innovation. This step is crucial for understanding the mechanisms through which digitalization fosters an environment conducive to entrepreneurial and innovative activities in the rural sector. <xref ref-type="disp-formula" rid="EQ3">Equation 3</xref> evaluates the effects of rural entrepreneurship and agricultural innovation on RI, thereby elucidating the mediating role these variables play in the digital transformation of rural industries.</p>
<p>In these equations: <inline-formula>
<mml:math id="M8">
<mml:mi>i</mml:mi>
</mml:math>
</inline-formula> denotes the province, <inline-formula>
<mml:math id="M9">
<mml:mi>t</mml:mi>
</mml:math>
</inline-formula> denotes the year; <inline-formula>
<mml:math id="M10">
<mml:mi mathvariant="italic">RI</mml:mi>
</mml:math>
</inline-formula>, <inline-formula>
<mml:math id="M11">
<mml:mi mathvariant="italic">DF</mml:mi>
</mml:math>
</inline-formula>,<inline-formula>
<mml:math id="M12">
<mml:mi mathvariant="italic">RE</mml:mi>
</mml:math>
</inline-formula>and <inline-formula>
<mml:math id="M13">
<mml:mi mathvariant="italic">AI</mml:mi>
</mml:math>
</inline-formula> correspond to the constructs detailed in <xref ref-type="table" rid="tab1">Table 1</xref>, <inline-formula>
<mml:math id="M14">
<mml:mi>&#x03B5;</mml:mi>
</mml:math>
</inline-formula> represents a stochastic disturbance term to account for unobserved heterogeneity and random shocks.</p>
</sec>
</sec>
<sec id="sec10">
<label>4</label>
<title>Empirical analysis</title>
<p>To rigorously test the hypotheses outlined in this study, we integrate theoretical modeling with empirical investigation across three levels: national, regional, and by dimensional stratification. The analysis proceeds in three steps. First, we examine national-level trends. Second, we assess regional heterogeneity. Third, we employ quantile regression to evaluate robustness across varying dimensions.</p>
<sec id="sec11">
<label>4.1</label>
<title>National-level analysis</title>
<p>Pearson correlation analysis indicates minimal risk of multicollinearity, with all coefficients below 0.5&#x2014;except for a strong correlation (<italic>r</italic>&#x202F;=&#x202F;0.859) between digital infrastructure and RI. Using data from 2013 to 2021 and <xref ref-type="disp-formula" rid="EQ1">Equation 1</xref>, the national-level results (<xref ref-type="table" rid="tab2">Table 2</xref>, column 1) suggest that digitalization significantly promotes the integration of rural industries. To address potential endogeneity, we apply a GMM estimator, using rural broadband access as an instrumental variable. The results show no evidence of significant endogeneity.</p>
<table-wrap position="float" id="tab2">
<label>Table 2</label>
<caption>
<p>Effects of rural entrepreneurship and agricultural innovation at the national level.</p>
</caption>
<table frame="hsides" rules="groups">
<thead>
<tr>
<th align="left" valign="top">Variable</th>
<th align="center" valign="top">
<inline-formula>
<mml:math id="M15">
<mml:mi mathvariant="italic">RI</mml:mi>
</mml:math>
</inline-formula>
</th>
<th align="center" valign="top">
<inline-formula>
<mml:math id="M16">
<mml:mi mathvariant="italic">RE</mml:mi>
</mml:math>
</inline-formula>
</th>
<th align="center" valign="top">
<inline-formula>
<mml:math id="M17">
<mml:mi mathvariant="italic">RI</mml:mi>
</mml:math>
</inline-formula>
</th>
<th align="center" valign="top">
<inline-formula>
<mml:math id="M18">
<mml:mi mathvariant="italic">AI</mml:mi>
</mml:math>
</inline-formula>
</th>
<th align="center" valign="top">
<inline-formula>
<mml:math id="M19">
<mml:mi mathvariant="italic">RI</mml:mi>
</mml:math>
</inline-formula>
</th>
</tr>
</thead>
<tbody>
<tr>
<td align="left" valign="middle">Constant</td>
<td align="center" valign="middle">0.0310 (0.0340)</td>
<td align="center" valign="middle">0.0272&#x002A; (0.0070)</td>
<td align="center" valign="middle">0.2185&#x002A; (0.0061)</td>
<td align="center" valign="middle">&#x2212;0.1077&#x002A; (0.0086)</td>
<td align="center" valign="middle">0.1748&#x002A; (0.0164)</td>
</tr>
<tr>
<td align="left" valign="middle">
<inline-formula>
<mml:math id="M20">
<mml:mi mathvariant="italic">DF</mml:mi>
</mml:math>
</inline-formula>
</td>
<td align="center" valign="middle">0.9439&#x002A; (0.1129)</td>
<td align="center" valign="middle">0.1863&#x002A; (0.0209)</td>
<td align="center" valign="middle">0.2525&#x002A; (0.0202)</td>
<td align="center" valign="middle">0.7059&#x002A; (0.0257)</td>
<td align="center" valign="middle">0.3337&#x002A; (0.0501)</td>
</tr>
<tr>
<td align="left" valign="middle">
<inline-formula>
<mml:math id="M21">
<mml:mi mathvariant="italic">RE</mml:mi>
</mml:math>
</inline-formula>
</td>
<td/>
<td/>
<td align="center" valign="middle">0.2398&#x002A; (0.0523)</td>
<td/>
<td/>
</tr>
<tr>
<td align="left" valign="middle">
<inline-formula>
<mml:math id="M22">
<mml:mi mathvariant="italic">AI</mml:mi>
</mml:math>
</inline-formula>
</td>
<td/>
<td/>
<td/>
<td/>
<td align="center" valign="middle">0.0903&#x002A;&#x002A; (0.0448)</td>
</tr>
<tr>
<td align="left" valign="middle">
<inline-formula>
<mml:math id="M23">
<mml:msup>
<mml:mi>R</mml:mi>
<mml:mn>2</mml:mn>
</mml:msup>
</mml:math>
</inline-formula>
</td>
<td align="center" valign="middle">0.9240</td>
<td align="center" valign="middle">0.3266</td>
<td align="center" valign="middle">0.5460</td>
<td align="center" valign="middle">0.7441</td>
<td align="center" valign="middle">0.9382</td>
</tr>
<tr>
<td align="left" valign="middle">Intermediary effect 1</td>
<td/>
<td/>
<td align="center" valign="middle">0.0473</td>
<td/>
<td align="center" valign="middle">0.0675</td>
</tr>
<tr>
<td align="left" valign="middle">Intermediary effect 2</td>
<td/>
<td/>
<td align="center" valign="middle">0.1769</td>
<td/>
<td align="center" valign="middle">0.1910</td>
</tr>
</tbody>
</table>
<table-wrap-foot>
<p>The symbols &#x002A;, &#x002A;&#x002A;, and &#x002A;&#x002A;&#x002A; denote significance levels at 1, 5, and 10% for <italic>t</italic>-tests, respectively (the same below). Values in parentheses indicate standard errors, providing a measure of the precision of the estimated coefficients. Mediating effects were assessed using two distinct analytical methods <inline-formula>
<mml:math id="M24">
<mml:mfrac>
<mml:mrow>
<mml:msub>
<mml:mi>&#x03B2;</mml:mi>
<mml:mn>1</mml:mn>
</mml:msub>
<mml:mo>&#x00D7;</mml:mo>
<mml:msub>
<mml:mi>&#x03B7;</mml:mi>
<mml:mn>2</mml:mn>
</mml:msub>
</mml:mrow>
<mml:msub>
<mml:mi>&#x03B1;</mml:mi>
<mml:mn>1</mml:mn>
</mml:msub>
</mml:mfrac>
</mml:math>
</inline-formula> and <inline-formula>
<mml:math id="M25">
<mml:mfrac>
<mml:mrow>
<mml:msub>
<mml:mi>&#x03B2;</mml:mi>
<mml:mn>1</mml:mn>
</mml:msub>
<mml:mo>&#x00D7;</mml:mo>
<mml:msub>
<mml:mi>&#x03B7;</mml:mi>
<mml:mn>2</mml:mn>
</mml:msub>
</mml:mrow>
<mml:msub>
<mml:mi>&#x03B7;</mml:mi>
<mml:mn>1</mml:mn>
</mml:msub>
</mml:mfrac>
</mml:math>
</inline-formula>, ensuring robustness in our findings. This approach to significance and mediation analysis is consistently applied across all subsequent tables in this study.</p>
</table-wrap-foot>
</table-wrap>
<p>Applying <xref ref-type="disp-formula" rid="EQ2 EQ3">Equations 2, 3</xref>, we further find that digital infrastructure plays a critical role in fostering rural entrepreneurship (<xref ref-type="table" rid="tab2">Table 2</xref>, columns 2 and 3), reinforcing the view that digitalization is a key driver of rural economic vitality. Two primary mechanisms emerge from this analysis: Firstly, the infusion of rural entrepreneurship catalyzes the creation of new industries, business models, and formats, thereby amplifying the impact of digitalization on RI. Secondly, rural entrepreneurship contributes to the enhancement of human capital in rural areas, further facilitating RI development.</p>
<p>Column 4 of <xref ref-type="table" rid="tab2">Table 2</xref> reveals that digital factors significantly influence agricultural innovation, suggesting that advancements in digital technology are pivotal in fostering innovation within the agricultural sector. This influence is characterized by the facilitation and development of agricultural innovation, underscoring the integral role of digitalization in modernizing rural industries. Further examination in column 5 of <xref ref-type="table" rid="tab2">Table 2</xref> demonstrates that agricultural innovation significantly contributes to the enhancement of RI through digital factors. The impact of digitalization on agricultural innovation and RI unfolds in two critical dimensions: firstly, by accelerating innovation through the dissemination of digital knowledge, thereby expediting the pace of industrial development. Secondly, the synergy between digital advancements and innovation optimizes resource allocation, significantly promoting the integration and advancement of rural industries (<xref ref-type="bibr" rid="ref19">Kim, 2023</xref>; <xref ref-type="bibr" rid="ref43">Vasilchenko et al., 2023</xref>; <xref ref-type="bibr" rid="ref41">Steinke et al., 2021</xref>).</p>
</sec>
<sec id="sec12">
<label>4.2</label>
<title>Regional-level analysis</title>
<p>To examine regional heterogeneity in the impact of digitalization on the integrated development of rural industries, we adopt a tripartite regional framework based on the official classification introduced in the 1986 &#x201C;Seventh Five-Year Plan.&#x201D; This division&#x2014;eastern, central, and western China&#x2014;captures both geographic and economic distinctions and has been reinforced through major national strategies, including the Western Development Strategy and the Rise of Central China Plan. It thus provides a robust basis for comparative analysis. In parallel, we consider the categorization of &#x201C;main grain-producing areas,&#x201D; defined administratively through a multidimensional assessment of resource endowment, production scale, commercialization level, export capacity, and strategic relevance to national food security. This policy-oriented classification encompasses 13 provinces: Hebei, Inner Mongolia, Liaoning, Jilin, Heilongjiang, Jiangsu, Anhui, Jiangxi, Shandong, Henan, Hubei, Hunan, and Sichuan, serving both agro-ecological and strategic planning purposes.</p>
<sec id="sec13">
<label>4.2.1</label>
<title>Analysis across eastern, central, and western regions</title>
<p><xref ref-type="table" rid="tab3">Table 3</xref> reveals the differential mediating roles of rural entrepreneurship and agricultural innovation in the relationship between digital factors and RI across China&#x2019;s eastern, central, and western regions. Our findings indicate that digital factors significantly enhance RI across all regions, with the impact being statistically significant at the 1% level. Notably, the central region exhibits the most pronounced effect (refer to <xref ref-type="table" rid="tab3">Table 3</xref>, column 1), highlighting regional disparities in the digital transformation of rural industries. Upon comparing the influence of digital factors across these regions, it becomes evident that their impact on agricultural innovation surpasses that on rural entrepreneurship. This trend is consistent across the eastern, central, and western regions, with the magnitude of influence diminishing from east to west (<xref ref-type="table" rid="tab3">Table 3</xref>, columns 2 and 4). This suggests a gradient in the efficacy of digital factors, with the eastern region experiencing the highest impact, followed by the central and western regions. Further analysis, incorporating digital factors alongside rural entrepreneurship and agricultural innovation as explanatory variables (<xref ref-type="table" rid="tab3">Table 3</xref>, columns 3 and 5), shows that while the influence of digital factors on RI remains positive and highly significant, the magnitude of this effect is somewhat reduced compared to the initial assessment in column 1 of <xref ref-type="table" rid="tab3">Table 3</xref>. This reduction underscores the mediating role of rural entrepreneurship and agricultural innovation in digital factors&#x2019; empowerment of RI. This nuanced regional analysis underscores the varying degrees to which digital factors, through the mechanisms of rural entrepreneurship and agricultural innovation, contribute to the enhancement of RI. It highlights the critical role of digitalization in fostering rural industrial development, while also pointing to the differential capacities of regions to leverage these digital advancements for economic growth.</p>
<table-wrap position="float" id="tab3">
<label>Table 3</label>
<caption>
<p>Comparative analysis of the effects of rural entrepreneurship and agricultural innovation across eastern, central, and western regions.</p>
</caption>
<table frame="hsides" rules="groups">
<thead>
<tr>
<th align="left" valign="top">Variable</th>
<th align="center" valign="top">
<inline-formula>
<mml:math id="M26">
<mml:mi mathvariant="italic">RI</mml:mi>
</mml:math>
</inline-formula>
</th>
<th align="center" valign="top">
<inline-formula>
<mml:math id="M27">
<mml:mi mathvariant="italic">RE</mml:mi>
</mml:math>
</inline-formula>
</th>
<th align="center" valign="top">
<inline-formula>
<mml:math id="M28">
<mml:mi mathvariant="italic">RI</mml:mi>
</mml:math>
</inline-formula>
</th>
<th align="center" valign="top">
<inline-formula>
<mml:math id="M29">
<mml:mi mathvariant="italic">AI</mml:mi>
</mml:math>
</inline-formula>
</th>
<th align="center" valign="top">
<inline-formula>
<mml:math id="M30">
<mml:mi mathvariant="italic">RI</mml:mi>
</mml:math>
</inline-formula>
</th>
</tr>
</thead>
<tbody>
<tr>
<td align="left" valign="middle" colspan="6">Eastern region</td>
</tr>
<tr>
<td align="left" valign="middle">Constant</td>
<td align="center" valign="middle">&#x2212;0.0334 (0.0613)</td>
<td align="center" valign="middle">&#x2212;0.0971 (0.0659)</td>
<td align="center" valign="middle">0.2259&#x002A; (0.0172)</td>
<td align="center" valign="middle">&#x2212;0.1516&#x002A; (0.0308)</td>
<td align="center" valign="middle">0.1167&#x002A; (0.0418)</td>
</tr>
<tr>
<td align="left" valign="middle">
<inline-formula>
<mml:math id="M31">
<mml:mi mathvariant="italic">DF</mml:mi>
</mml:math>
</inline-formula>
</td>
<td align="center" valign="middle">0.8903&#x002A; (0.1393)</td>
<td align="center" valign="middle">0.4784&#x002A; (0.1498)</td>
<td align="center" valign="middle">0.2014&#x002A; (0.0399)</td>
<td align="center" valign="middle">0.7961&#x002A; (0.0661)</td>
<td align="center" valign="middle">0.5073&#x002A; (0.0864)</td>
</tr>
<tr>
<td align="left" valign="middle">
<inline-formula>
<mml:math id="M32">
<mml:mi mathvariant="italic">RE</mml:mi>
</mml:math>
</inline-formula>
</td>
<td/>
<td/>
<td align="center" valign="middle">0.3846&#x002A; (0.0831)</td>
<td/>
<td/>
</tr>
<tr>
<td align="left" valign="middle">
<inline-formula>
<mml:math id="M33">
<mml:mi mathvariant="italic">AI</mml:mi>
</mml:math>
</inline-formula>
</td>
<td/>
<td/>
<td/>
<td/>
<td align="center" valign="middle">0.0917&#x002A;&#x002A;&#x002A; (0.0550)</td>
</tr>
<tr>
<td align="left" valign="middle">
<inline-formula>
<mml:math id="M34">
<mml:msup>
<mml:mi>R</mml:mi>
<mml:mn>2</mml:mn>
</mml:msup>
</mml:math>
</inline-formula>
</td>
<td align="center" valign="middle">0.9441</td>
<td align="center" valign="middle">0.8642</td>
<td align="center" valign="middle">0.4870</td>
<td align="center" valign="middle">0.6237</td>
<td align="center" valign="middle">0.9428</td>
</tr>
<tr>
<td align="left" valign="middle">Intermediary effect 1</td>
<td/>
<td/>
<td align="center" valign="middle">0.2067</td>
<td/>
<td align="center" valign="middle">0.0820</td>
</tr>
<tr>
<td align="left" valign="middle">Intermediary effect 2</td>
<td/>
<td/>
<td align="center" valign="middle">0.9136</td>
<td/>
<td align="center" valign="middle">0.1439</td>
</tr>
<tr>
<td align="left" valign="middle" colspan="6">Central region</td>
</tr>
<tr>
<td align="left" valign="middle">Constant</td>
<td align="center" valign="middle">0.0702 (0.0859)</td>
<td align="center" valign="middle">0.0198&#x002A; (0.0214)</td>
<td align="center" valign="middle">0.1854&#x002A; (0.0118)</td>
<td align="center" valign="middle">&#x2212;0.0635&#x002A; (0.0128)</td>
<td align="center" valign="middle">0.2113&#x002A; (0.0124)</td>
</tr>
<tr>
<td align="left" valign="middle">
<inline-formula>
<mml:math id="M35">
<mml:mi mathvariant="italic">DF</mml:mi>
</mml:math>
</inline-formula>
</td>
<td align="center" valign="middle">0.9918&#x002A; (0.3529)</td>
<td align="center" valign="middle">0.2181&#x002A;&#x002A; (0.0868)</td>
<td align="center" valign="middle">0.5610&#x002A; (0.0496)</td>
<td align="center" valign="middle">0.5466&#x002A; (0.0521)</td>
<td align="center" valign="middle">0.2787&#x002A; (0.0697)</td>
</tr>
<tr>
<td align="left" valign="middle">
<inline-formula>
<mml:math id="M36">
<mml:mi mathvariant="italic">RE</mml:mi>
</mml:math>
</inline-formula>
</td>
<td/>
<td/>
<td align="center" valign="middle">0.1486&#x002A;&#x002A; (0.0612)</td>
<td/>
<td/>
</tr>
<tr>
<td align="left" valign="middle">
<inline-formula>
<mml:math id="M37">
<mml:mi mathvariant="italic">AI</mml:mi>
</mml:math>
</inline-formula>
</td>
<td/>
<td/>
<td/>
<td/>
<td align="center" valign="middle">0.3598&#x002A; (0.0996)</td>
</tr>
<tr>
<td align="left" valign="middle">
<inline-formula>
<mml:math id="M38">
<mml:msup>
<mml:mi>R</mml:mi>
<mml:mn>2</mml:mn>
</mml:msup>
</mml:math>
</inline-formula>
</td>
<td align="center" valign="middle">0.7434</td>
<td align="center" valign="middle">0.7251</td>
<td align="center" valign="middle">0.6515</td>
<td align="center" valign="middle">0.6122</td>
<td align="center" valign="middle">0.7156</td>
</tr>
<tr>
<td align="left" valign="middle">Intermediary effect 1</td>
<td/>
<td/>
<td align="center" valign="middle">0.0327</td>
<td/>
<td align="center" valign="middle">0.1982</td>
</tr>
<tr>
<td align="left" valign="middle">Intermediary effect 2</td>
<td/>
<td/>
<td align="center" valign="middle">0.0578</td>
<td/>
<td align="center" valign="middle">0.7057</td>
</tr>
<tr>
<td align="left" valign="middle" colspan="6">Western region</td>
</tr>
<tr>
<td align="left" valign="middle">Constant</td>
<td align="center" valign="middle">0.0798&#x002A;&#x002A;&#x002A; (0.0469)</td>
<td align="center" valign="middle">0.0171 (0.0220)</td>
<td align="center" valign="middle">0.1615&#x002A; (0.0196)</td>
<td align="center" valign="middle">&#x2212;0.0571&#x002A; (0.0054)</td>
<td align="center" valign="middle">0.1727&#x002A; (0.0183)</td>
</tr>
<tr>
<td align="left" valign="middle">
<inline-formula>
<mml:math id="M39">
<mml:mi mathvariant="italic">DF</mml:mi>
</mml:math>
</inline-formula>
</td>
<td align="center" valign="middle">0.9550&#x002A; (0.2298)</td>
<td align="center" valign="middle">0.2147&#x002A;&#x002A;&#x002A; (0.1087)</td>
<td align="center" valign="middle">0.4992&#x002A; (0.0933)</td>
<td align="center" valign="middle">0.4542&#x002A; (0.0256)</td>
<td align="center" valign="middle">0.4286&#x002A; (0.0832)</td>
</tr>
<tr>
<td align="left" valign="middle">
<inline-formula>
<mml:math id="M40">
<mml:mi mathvariant="italic">RE</mml:mi>
</mml:math>
</inline-formula>
</td>
<td/>
<td/>
<td align="center" valign="middle">0.1824&#x002A; (0.0863)</td>
<td/>
<td/>
</tr>
<tr>
<td align="left" valign="middle">
<inline-formula>
<mml:math id="M41">
<mml:mi mathvariant="italic">AI</mml:mi>
</mml:math>
</inline-formula>
</td>
<td/>
<td/>
<td/>
<td/>
<td align="center" valign="middle">0.4054&#x002A;&#x002A;&#x002A; (0.2082)</td>
</tr>
<tr>
<td align="left" valign="middle">
<inline-formula>
<mml:math id="M42">
<mml:msup>
<mml:mi>R</mml:mi>
<mml:mn>2</mml:mn>
</mml:msup>
</mml:math>
</inline-formula>
</td>
<td align="center" valign="middle">0.7270</td>
<td align="center" valign="middle">0.6071</td>
<td align="center" valign="middle">0.8049</td>
<td align="center" valign="middle">0.7833</td>
<td align="center" valign="middle">0.7709</td>
</tr>
<tr>
<td align="left" valign="middle">Intermediary effect 1</td>
<td/>
<td/>
<td align="center" valign="middle">0.0410</td>
<td/>
<td align="center" valign="middle">0.1928</td>
</tr>
<tr>
<td align="left" valign="middle">Intermediary effect 2</td>
<td/>
<td/>
<td align="center" valign="middle">0.0784</td>
<td/>
<td align="center" valign="middle">0.4296</td>
</tr>
</tbody>
</table>
</table-wrap>
<p>Among the three regions, the eastern region exhibits a stronger mediating effect from rural entrepreneurship than from agricultural innovation, highlighting the pivotal role of entrepreneurial activities in driving digital empowerment and integration processes. Conversely, in the central and western regions, agricultural innovation emerges as the stronger mediator compared to rural entrepreneurship, underscoring the significance of innovation in agriculture for RI in these areas. Upon comparing the mediating effects across all three regions, a clear pattern emerges: the influence of rural entrepreneurship on RI diminishes in the order of the eastern, central, and western regions. This suggests that the impact of entrepreneurial activities on RI is most pronounced in the eastern region, with a gradual decrease moving westward. In contrast, the mediating effect of agricultural innovation on RI follows a different trajectory, decreasing sequentially from the central region to the western and then to the eastern region. This indicates that agricultural innovation plays a more significant role in the central region, with its impact lessening in the eastern region. These findings underscore the variability in how rural entrepreneurship and agricultural innovation serve as conduits for digital factors&#x2019; influence on RI across different geographical contexts. The regional disparities highlight the importance of tailoring strategies to leverage local strengths in entrepreneurship and innovation for rural industrial development.</p>
</sec>
<sec id="sec14">
<label>4.2.2</label>
<title>Comparative empirical analysis in main-grain-producing and non-main-grain-producing areas</title>
<p>Our analysis, as detailed in <xref ref-type="table" rid="tab4">Table 4</xref>, examines the mediating roles of rural entrepreneurship and agricultural innovation in the relationship between digital factors and RI across main-grain-producing and non-main-grain-producing areas. The findings indicate that digital factors exert a positive influence on RI across both types of regions, with the impact being statistically significant at the 1% level. Notably, this effect is more pronounced in main-grain-producing areas (<xref ref-type="table" rid="tab4">Table 4</xref>, column 1), highlighting the variable impact of digitalization based on the agricultural focus of the region. Further comparison between the two regions reveals that digital factors significantly enhance both rural entrepreneurship and agricultural innovation (<xref ref-type="table" rid="tab4">Table 4</xref>, columns 2 and 4). This suggests that digital advancements contribute to the dynamism of rural entrepreneurship and the development of innovative agricultural practices, irrespective of the region&#x2019;s primary agricultural output. When integrating rural entrepreneurship and agricultural innovation as explanatory variables alongside digital factors (<xref ref-type="table" rid="tab4">Table 4</xref>, columns 3 and 5), the influence of digital factors on RI remains positive and statistically significant at the 1% level. However, the magnitude of this impact diminishes relative to the initial observations in column 1 of <xref ref-type="table" rid="tab4">Table 4</xref>. This reduction in coefficient size underscores the mediating effect of rural entrepreneurship and agricultural innovation in facilitating the digital empowerment of RI. This comparative analysis illuminates the nuanced roles that rural entrepreneurship and agricultural innovation play in mediating the impact of digital factors on RI, with variations observed between main and non-main grain-producing areas. It highlights the importance of contextual factors in shaping the digital transformation of rural industries, suggesting tailored approaches may be required to fully leverage digitalization&#x2019;s potential in diverse agricultural settings.</p>
<table-wrap position="float" id="tab4">
<label>Table 4</label>
<caption>
<p>Comparative effects of rural entrepreneurship and agricultural innovation in main vs. non-main grain-producing areas.</p>
</caption>
<table frame="hsides" rules="groups">
<thead>
<tr>
<th align="left" valign="top">Variable</th>
<th align="center" valign="top">
<inline-formula>
<mml:math id="M43">
<mml:mi mathvariant="italic">RI</mml:mi>
</mml:math>
</inline-formula>
</th>
<th align="center" valign="top">
<inline-formula>
<mml:math id="M44">
<mml:mi mathvariant="italic">RE</mml:mi>
</mml:math>
</inline-formula>
</th>
<th align="center" valign="top">
<inline-formula>
<mml:math id="M45">
<mml:mi mathvariant="italic">RI</mml:mi>
</mml:math>
</inline-formula>
</th>
<th align="center" valign="top">
<inline-formula>
<mml:math id="M46">
<mml:mi mathvariant="italic">AI</mml:mi>
</mml:math>
</inline-formula>
</th>
<th align="center" valign="top">
<inline-formula>
<mml:math id="M47">
<mml:mi mathvariant="italic">RI</mml:mi>
</mml:math>
</inline-formula>
</th>
</tr>
</thead>
<tbody>
<tr>
<td align="left" valign="middle" colspan="6">Main grain-producing areas</td>
</tr>
<tr>
<td align="left" valign="middle">Constant</td>
<td align="center" valign="middle">0.0492 (0.0462)</td>
<td align="center" valign="middle">0.0308&#x002A; (0.0139)</td>
<td align="center" valign="middle">0.1693&#x002A; (0.0089)</td>
<td align="center" valign="middle">&#x2212;0.1750&#x002A; (0.0122)</td>
<td align="center" valign="middle">0.2201&#x002A; (0.0146)</td>
</tr>
<tr>
<td align="left" valign="middle">
<inline-formula>
<mml:math id="M48">
<mml:mi mathvariant="italic">DF</mml:mi>
</mml:math>
</inline-formula>
</td>
<td align="center" valign="middle">0.9664&#x002A; (0.1568)</td>
<td align="center" valign="middle">0.1754&#x002A; (0.0447)</td>
<td align="center" valign="middle">0.5134&#x002A; (0.0297)</td>
<td align="center" valign="middle">0.9776&#x002A; (0.0393)</td>
<td align="center" valign="middle">0.2845&#x002A; (0.0692)</td>
</tr>
<tr>
<td align="left" valign="middle">
<inline-formula>
<mml:math id="M49">
<mml:mi mathvariant="italic">RE</mml:mi>
</mml:math>
</inline-formula>
</td>
<td/>
<td/>
<td align="center" valign="middle">0.1541&#x002A;&#x002A; (0.0601)</td>
<td/>
<td/>
</tr>
<tr>
<td align="left" valign="middle">
<inline-formula>
<mml:math id="M50">
<mml:mi mathvariant="italic">AI</mml:mi>
</mml:math>
</inline-formula>
</td>
<td/>
<td/>
<td/>
<td/>
<td align="center" valign="middle">0.2599&#x002A; (0.0654)</td>
</tr>
<tr>
<td align="left" valign="middle">
<inline-formula>
<mml:math id="M51">
<mml:msup>
<mml:mi>R</mml:mi>
<mml:mn>2</mml:mn>
</mml:msup>
</mml:math>
</inline-formula>
</td>
<td align="center" valign="middle">0.8549</td>
<td align="center" valign="middle">0.3112</td>
<td align="center" valign="middle">0.7904</td>
<td align="center" valign="middle">0.8532</td>
<td align="center" valign="middle">0.7855</td>
</tr>
<tr>
<td align="left" valign="middle">Intermediary effect 1</td>
<td/>
<td/>
<td align="center" valign="middle">0.0280</td>
<td/>
<td align="center" valign="middle">0.2629</td>
</tr>
<tr>
<td align="left" valign="middle">Intermediary effect 2</td>
<td/>
<td/>
<td align="center" valign="middle">0.0526</td>
<td/>
<td align="center" valign="middle">0.8903</td>
</tr>
<tr>
<td align="left" valign="middle" colspan="6">Non-main grain-producing areas</td>
</tr>
<tr>
<td align="left" valign="middle">Constant</td>
<td align="center" valign="middle">0.0297&#x002A; (0.0488)</td>
<td align="center" valign="middle">0.0259&#x002A; (0.0086)</td>
<td align="center" valign="middle">0.1654&#x002A; (0.0225)</td>
<td align="center" valign="middle">&#x2212;0.0957&#x002A; (0.0111)</td>
<td align="center" valign="middle">0.1435&#x002A;&#x002A; (0.0219)</td>
</tr>
<tr>
<td align="left" valign="middle">
<inline-formula>
<mml:math id="M52">
<mml:mi mathvariant="italic">DF</mml:mi>
</mml:math>
</inline-formula>
</td>
<td align="center" valign="middle">0.8864&#x002A; (0.1594)</td>
<td align="center" valign="middle">0.1894&#x002A; (0.0245)</td>
<td align="center" valign="middle">0.4041&#x002A; (0.0769)</td>
<td align="center" valign="middle">0.6354&#x002A; (0.0315)</td>
<td align="center" valign="middle">0.4502&#x002A; (0.0678)</td>
</tr>
<tr>
<td align="left" valign="middle">
<inline-formula>
<mml:math id="M53">
<mml:mi mathvariant="italic">RE</mml:mi>
</mml:math>
</inline-formula>
</td>
<td/>
<td/>
<td align="center" valign="middle">0.1399&#x002A;&#x002A; (0.0632)</td>
<td/>
<td/>
</tr>
<tr>
<td align="left" valign="middle">
<inline-formula>
<mml:math id="M54">
<mml:mi mathvariant="italic">AI</mml:mi>
</mml:math>
</inline-formula>
</td>
<td/>
<td/>
<td/>
<td/>
<td align="center" valign="middle">0.2003&#x002A; (0.0452)</td>
</tr>
<tr>
<td align="left" valign="middle">
<inline-formula>
<mml:math id="M55">
<mml:msup>
<mml:mi>R</mml:mi>
<mml:mn>2</mml:mn>
</mml:msup>
</mml:math>
</inline-formula>
</td>
<td align="center" valign="middle">0.9052</td>
<td align="center" valign="middle">0.3499</td>
<td align="center" valign="middle">0.9355</td>
<td align="center" valign="middle">0.7423</td>
<td align="center" valign="middle">0.9335</td>
</tr>
<tr>
<td align="left" valign="middle">Intermediary effect 1</td>
<td/>
<td/>
<td align="center" valign="middle">0.0299</td>
<td/>
<td align="center" valign="middle">0.1436</td>
</tr>
<tr>
<td align="left" valign="middle">Intermediary effect 2</td>
<td/>
<td/>
<td align="center" valign="middle">0.0656</td>
<td/>
<td align="center" valign="middle">0.2827</td>
</tr>
</tbody>
</table>
</table-wrap>
<p>Our study&#x2019;s analysis reveals insightful patterns regarding the mediating effects of rural entrepreneurship and agricultural innovation in digital factors&#x2019; impact on RI, differing across main and non-main grain-producing areas. In terms of the relative strength of these mediating effects, agricultural innovation consistently exhibits a more pronounced role than rural entrepreneurship across both types of regions. This finding underscores the critical importance of innovation in agriculture as a key driver in the digital transformation process within rural industries. When specifically examining the intermediary effect of rural entrepreneurship, it is observed that non-main grain-producing areas exhibit a stronger mediation effect compared to main grain-producing areas. This suggests that in regions less focused on primary grain production, entrepreneurial activities may play a more vital role in leveraging digital advancements for rural industrial development. Conversely, from the perspective of agricultural innovation&#x2019;s mediating role, main grain-producing areas surpass non-main grain-producing areas. This indicates that in regions with a primary focus on grain production, the integration of innovative agricultural practices and technologies is more influential in mediating the effects of digitalization on rural industrial advancement. These insights highlight the differential impacts of rural entrepreneurship and agricultural innovation as mediators in the digital enhancement of RI, suggesting that the sectoral focus of a region may influence the relative effectiveness of these mediating factors.</p>
</sec>
</sec>
<sec id="sec15">
<label>4.3</label>
<title>Dimensional analysis of digital factors&#x2019; impact on RI</title>
<p>While the preceding section presents an empirical analysis from a regional perspective, the following section shifts focus to a multidimensional framework, dissecting the roles of digital infrastructure, technology level, efficiency, and product services. Our results demonstrate that digital infrastructure, technology level, efficiency, and product services significantly enhance RI, albeit with variations in the magnitude of their impacts (<xref ref-type="table" rid="tab5">Table 5</xref>). Notably, digital infrastructure and product services emerge as the most influential dimensions. This suggests that the foundational aspects of digitalization, alongside the availability and quality of digital products, are crucial drivers of rural industrial development. Further comparative analysis across these dimensions confirms that all four digital factors&#x2014;infrastructure, technology level, efficiency, and product services&#x2014;positively affect rural entrepreneurship and agricultural innovation, with statistical significance at the 1% level. This underscores the comprehensive role of digitalization in fostering an environment conducive to entrepreneurial and innovative activities within rural settings.</p>
<table-wrap position="float" id="tab5">
<label>Table 5</label>
<caption>
<p>Effects of rural entrepreneurship and agricultural innovation across varied dimensions.</p>
</caption>
<table frame="hsides" rules="groups">
<thead>
<tr>
<th align="left" valign="top">Variable</th>
<th align="center" valign="top">
<inline-formula>
<mml:math id="M56">
<mml:mi mathvariant="italic">RI</mml:mi>
</mml:math>
</inline-formula>
</th>
<th align="center" valign="top">
<inline-formula>
<mml:math id="M57">
<mml:mi mathvariant="italic">RE</mml:mi>
</mml:math>
</inline-formula>
</th>
<th align="center" valign="top">
<inline-formula>
<mml:math id="M58">
<mml:mi mathvariant="italic">RI</mml:mi>
</mml:math>
</inline-formula>
</th>
<th align="center" valign="top">
<inline-formula>
<mml:math id="M59">
<mml:mi mathvariant="italic">AI</mml:mi>
</mml:math>
</inline-formula>
</th>
<th align="center" valign="top">
<inline-formula>
<mml:math id="M60">
<mml:mi mathvariant="italic">RI</mml:mi>
</mml:math>
</inline-formula>
</th>
</tr>
</thead>
<tbody>
<tr>
<td align="left" valign="middle" colspan="6">(a) Effects of digital infrastructure on rural entrepreneurship and agricultural innovation.</td>
</tr>
<tr>
<td align="left" valign="middle">Constant</td>
<td align="center" valign="middle">&#x2212;0.0348 (0.0597)</td>
<td align="center" valign="middle">0.0440&#x002A; (0.0078)</td>
<td align="center" valign="middle">0.2151&#x002A; (0.0066)</td>
<td align="center" valign="middle">&#x2212;0.1162&#x002A; (0.0085)</td>
<td align="center" valign="middle">0.2489&#x002A; (0.0088)</td>
</tr>
<tr>
<td align="left" valign="middle">Digital infrastructure</td>
<td align="center" valign="middle">1.1529&#x002A; (0.1968)</td>
<td align="center" valign="middle">0.1297&#x002A; (0.0232)</td>
<td align="center" valign="middle">0.2280&#x002A; (0.0197)</td>
<td align="center" valign="middle">0.7312&#x002A; (0.0256)</td>
<td align="center" valign="middle">0.1640&#x002A; (0.0410)</td>
</tr>
<tr>
<td align="left" valign="middle">
<inline-formula>
<mml:math id="M61">
<mml:mi mathvariant="italic">RE</mml:mi>
</mml:math>
</inline-formula>
</td>
<td/>
<td/>
<td align="center" valign="middle">0.3662&#x002A; (0.0499)</td>
<td/>
<td/>
</tr>
<tr>
<td align="left" valign="middle">
<inline-formula>
<mml:math id="M62">
<mml:mi mathvariant="italic">AI</mml:mi>
</mml:math>
</inline-formula>
</td>
<td/>
<td/>
<td/>
<td/>
<td align="center" valign="middle">0.1526&#x002A; (0.0489)</td>
</tr>
<tr>
<td align="left" valign="middle">
<inline-formula>
<mml:math id="M63">
<mml:msup>
<mml:mi>R</mml:mi>
<mml:mn>2</mml:mn>
</mml:msup>
</mml:math>
</inline-formula>
</td>
<td align="center" valign="middle">0.8452</td>
<td align="center" valign="middle">0.2169</td>
<td align="center" valign="middle">0.5199</td>
<td align="center" valign="middle">0.7610</td>
<td align="center" valign="middle">0.4410</td>
</tr>
<tr>
<td align="left" valign="middle">Intermediary effect 1</td>
<td/>
<td/>
<td align="center" valign="middle">0.0412</td>
<td/>
<td align="center" valign="middle">0.0968</td>
</tr>
<tr>
<td align="left" valign="middle">Intermediary effect 2</td>
<td/>
<td/>
<td align="center" valign="middle">0.2083</td>
<td/>
<td align="center" valign="middle">0.6804</td>
</tr>
<tr>
<td align="left" valign="top" colspan="6">(b) Effects of digital technology on rural entrepreneurship and agricultural innovation.</td>
</tr>
<tr>
<td align="left" valign="top">Constant</td>
<td align="center" valign="top">0.1048&#x002A; (0.0282)</td>
<td align="center" valign="bottom">0.0372&#x002A; (0.0059)</td>
<td align="center" valign="bottom">0.2342&#x002A; (0.0054)</td>
<td align="center" valign="bottom">&#x2212;0.0580&#x002A; (0.0081)</td>
<td align="center" valign="bottom">0.2470&#x002A; (0.0056)</td>
</tr>
<tr>
<td align="left" valign="top">Digital technology</td>
<td align="center" valign="top">0.7089&#x002A; (0.0953)</td>
<td align="center" valign="bottom">0.1545&#x002A; (0.0168)</td>
<td align="center" valign="bottom">0.2048&#x002A; (0.0165)</td>
<td align="center" valign="bottom">0.5447&#x002A; (0.0232)</td>
<td align="center" valign="bottom">0.2005&#x002A; (0.0260)</td>
</tr>
<tr>
<td align="left" valign="middle">
<inline-formula>
<mml:math id="M64">
<mml:mi mathvariant="italic">RE</mml:mi>
</mml:math>
</inline-formula>
</td>
<td/>
<td/>
<td align="center" valign="bottom">0.2295&#x002A; (0.0529)</td>
<td/>
<td/>
</tr>
<tr>
<td align="left" valign="middle">
<inline-formula>
<mml:math id="M65">
<mml:mi mathvariant="italic">AI</mml:mi>
</mml:math>
</inline-formula>
</td>
<td/>
<td/>
<td/>
<td/>
<td align="center" valign="top">0.0729&#x002A;&#x002A;&#x002A; (0.0393)</td>
</tr>
<tr>
<td align="left" valign="middle">
<inline-formula>
<mml:math id="M66">
<mml:msup>
<mml:mi>R</mml:mi>
<mml:mn>2</mml:mn>
</mml:msup>
</mml:math>
</inline-formula>
</td>
<td align="center" valign="top">0.9040</td>
<td align="center" valign="top">0.3381</td>
<td align="center" valign="top">0.5442</td>
<td align="center" valign="top">0/6808</td>
<td align="center" valign="top">0.5174</td>
</tr>
<tr>
<td align="left" valign="middle">Intermediary effect 1</td>
<td/>
<td/>
<td align="center" valign="top">0.0500</td>
<td/>
<td align="center" valign="top">0.0560</td>
</tr>
<tr>
<td align="left" valign="middle">Intermediary effect 2</td>
<td/>
<td/>
<td align="center" valign="top">0.1731</td>
<td/>
<td align="center" valign="top">0.1980</td>
</tr>
<tr>
<td align="left" valign="top" colspan="6">(c) Effects of digital efficiency on rural entrepreneurship and agricultural innovation.</td>
</tr>
<tr>
<td align="left" valign="top">Constant</td>
<td align="center" valign="top">0.0182 (0.0681)</td>
<td align="center" valign="bottom">0.0258&#x002A; (0.0062)</td>
<td align="center" valign="bottom">0.2367&#x002A; (0.0063)</td>
<td align="center" valign="bottom">&#x2212;0.0481&#x002A; (0.01145)</td>
<td align="center" valign="bottom">0.2530&#x002A; (0.0061)</td>
</tr>
<tr>
<td align="left" valign="top">Digital efficiency</td>
<td align="center" valign="top">0.8418&#x002A; (0.1930)</td>
<td align="center" valign="bottom">0.1628&#x002A; (0.0154)</td>
<td align="center" valign="bottom">0.1577&#x002A; (0.0182)</td>
<td align="center" valign="bottom">0.4320&#x002A; (0.0285)</td>
<td align="center" valign="bottom">0.1155&#x002A; (0.0201)</td>
</tr>
<tr>
<td align="left" valign="middle">
<inline-formula>
<mml:math id="M67">
<mml:mi mathvariant="italic">RE</mml:mi>
</mml:math>
</inline-formula>
</td>
<td/>
<td/>
<td align="center" valign="bottom">0.2651&#x002A; (0.0610)</td>
<td/>
<td/>
</tr>
<tr>
<td align="left" valign="middle">
<inline-formula>
<mml:math id="M68">
<mml:mi mathvariant="italic">AI</mml:mi>
</mml:math>
</inline-formula>
</td>
<td/>
<td/>
<td/>
<td/>
<td align="center" valign="top">0.1976&#x002A; (0.0319)</td>
</tr>
<tr>
<td align="left" valign="middle">
<inline-formula>
<mml:math id="M69">
<mml:msup>
<mml:mi>R</mml:mi>
<mml:mn>2</mml:mn>
</mml:msup>
</mml:math>
</inline-formula>
</td>
<td align="center" valign="top">0.7208</td>
<td align="center" valign="top">0.3853</td>
<td align="center" valign="top">0.4366</td>
<td align="center" valign="top">0.4716</td>
<td align="center" valign="top">0.4734</td>
</tr>
<tr>
<td align="left" valign="middle">Intermediary effect 1</td>
<td/>
<td/>
<td align="center" valign="top">0.0513</td>
<td/>
<td align="center" valign="top">0.1014</td>
</tr>
<tr>
<td align="left" valign="middle">Intermediary effect 2</td>
<td/>
<td/>
<td align="center" valign="top">0.2737</td>
<td/>
<td align="center" valign="top">0.7391</td>
</tr>
<tr>
<td align="left" valign="middle" colspan="6">(d) Effects of digital product services on rural entrepreneurship and agricultural innovation.</td>
</tr>
<tr>
<td align="left" valign="middle">Constant</td>
<td align="center" valign="middle">0.0516 (0.0489)</td>
<td align="center" valign="middle">0.0330&#x002A; (0.0068)</td>
<td align="center" valign="middle">0.2266&#x002A; (0.0062)</td>
<td align="center" valign="middle">&#x2212;0.0774&#x002A; (0.0102)</td>
<td align="center" valign="middle">0.2481&#x002A; (0.0067)</td>
</tr>
<tr>
<td align="left" valign="middle">Digital product services</td>
<td align="center" valign="middle">1.0703&#x002A; (0.1985)</td>
<td align="center" valign="middle">0.2033&#x002A; (0.0245)</td>
<td align="center" valign="middle">0.2581&#x002A; (0.0242)</td>
<td align="center" valign="middle">0.7369&#x002A; (0.0365)</td>
<td align="center" valign="middle">0.2030&#x002A; (0.0351)</td>
</tr>
<tr>
<td align="left" valign="middle">
<inline-formula>
<mml:math id="M70">
<mml:mi mathvariant="italic">RE</mml:mi>
</mml:math>
</inline-formula>
</td>
<td/>
<td/>
<td align="center" valign="middle">0.2899&#x002A; (0.0544)</td>
<td/>
<td/>
</tr>
<tr>
<td align="left" valign="middle">
<inline-formula>
<mml:math id="M71">
<mml:mi mathvariant="italic">AI</mml:mi>
</mml:math>
</inline-formula>
</td>
<td/>
<td/>
<td/>
<td/>
<td align="center" valign="middle">0.1548&#x002A; (0.0372)</td>
</tr>
<tr>
<td align="left" valign="middle">
<inline-formula>
<mml:math id="M72">
<mml:msup>
<mml:mi>R</mml:mi>
<mml:mn>2</mml:mn>
</mml:msup>
</mml:math>
</inline-formula>
</td>
<td align="center" valign="middle">0.8172</td>
<td align="center" valign="middle">0.3059</td>
<td align="center" valign="middle">0.4947</td>
<td align="center" valign="middle">0.6123</td>
<td align="center" valign="middle">0.4743</td>
</tr>
<tr>
<td align="left" valign="middle">Intermediary effect 1</td>
<td/>
<td/>
<td align="center" valign="middle">0.0551</td>
<td/>
<td align="center" valign="middle">0.1066</td>
</tr>
<tr>
<td align="left" valign="middle">Intermediary effect 2</td>
<td/>
<td/>
<td align="center" valign="middle">0.2283</td>
<td/>
<td align="center" valign="middle">0.5619</td>
</tr>
</tbody>
</table>
</table-wrap>
<p>Incorporating these digital factors alongside rural entrepreneurship and agricultural innovation into a unified model reveals a persistent positive impact on RI, although the magnitude of this effect diminishes slightly, as indicated by the comparison with the baseline coefficients in <xref ref-type="table" rid="tab5">Table 5</xref>, column 1. This reduction in coefficients suggests that while digital factors directly influence RI, their impact is further mediated and enhanced through the stimulation of rural entrepreneurship and agricultural innovation. This dimensional analysis underscores the multifaceted influence of digital factors on RI, highlighting the essential role of rural entrepreneurship and agricultural innovation as mediators in this process. It emphasizes the need for a holistic approach to digitalization that considers infrastructure, technology, efficiency, and product services as key drivers of RI.</p>
<p>Our analysis, from the perspective of mediating effects, reveals that agricultural innovation exerts a stronger mediating influence on the relationship between digital factors and RI than rural entrepreneurship. This distinction underscores the pivotal role of innovation in agriculture as a key driver of digital transformation in rural industries. When comparing the mediating effects across various digital dimensions, we observe distinct patterns for rural entrepreneurship and agricultural innovation. For rural entrepreneurship, the mediating effects follow a descending order, starting with digital efficiency, followed by digital product services, digital infrastructure, and finally, digital technology. This sequence highlights the relative importance of digital efficiency in enhancing the impact of rural entrepreneurship on RI. Conversely, the mediating effect of agricultural innovation is characterized by a different order of significance: digital efficiency leads, succeeded by digital infrastructure, digital product services, and digital technology. This order emphasizes the critical role of digital efficiency and infrastructure in amplifying agricultural innovation&#x2019;s contribution to RI. These findings illuminate the nuanced ways in which rural entrepreneurship and agricultural innovation serve as conduits for the influence of digital factors on RI. The variance in their mediating effects across digital dimensions suggests that targeted strategies might be required to fully leverage digital transformation in rural settings.</p>
</sec>
<sec id="sec16">
<label>4.4</label>
<title>Robustness testing through panel quantile regression</title>
<p>In assessing the robustness of our findings, we employ panel quantile regression, a methodology chosen for its several key advantages. Unlike traditional regression models, panel quantile regression does not presuppose a normal distribution of the dependent variable, offering resilience against outliers and eliminating the need to address heteroscedasticity directly. This approach provides detailed insights by outputting regression coefficients and measures of fit, facilitating a comprehensive analysis of the relationship between independent and dependent variables across the distribution. The panel quantile regression serves two primary purposes in our analysis. It allows us to trace the varying impact of independent variables on the dependent variable across different points in the distribution, offering a nuanced view of these relationships. In addition, it enables us to rigorously test the robustness of our regression model (<xref ref-type="bibr" rid="ref55">Yang and Chen, 2022</xref>), ensuring the reliability of our results. To this end, we focus on quantiles at the 25th, 50th, and 75th percentiles, providing a broad assessment of the model&#x2019;s performance across the distribution.</p>
<p>The robustness testing, detailed in <xref ref-type="table" rid="tab6">Table 6</xref>, underscores the varying impact of digital factors on RI across different quantiles. Notably, digital factors consistently exert a positive influence on RI, evidencing their pivotal role across the spectrum of rural industrial development stages. For rural entrepreneurship, our analysis reveals a nuanced relationship with RI. At the 25th quantile, rural entrepreneurship significantly promotes RI, with an estimated coefficient of 0.2457. However, as we move towards the 75th quantile, this effect diminishes, becoming non-significant with an estimated coefficient decreasing to 0.0684 and further to 0.0225. This trend suggests that the contribution of rural entrepreneurship to RI is more pronounced in provinces with lower levels of integration, diminishing in significance as the level of RI increases. Conversely, the influence of agricultural innovation on RI presents an opposite trend. Initially, at the 25th quantile, the effect of agricultural innovation is not significant, with an estimated coefficient of 0.0658. Yet, as the quantile progresses to 0.75, the impact becomes significantly positive, with the coefficient increasing to 0.2763. This indicates that agricultural innovation&#x2019;s role in enhancing RI becomes increasingly significant in provinces with higher levels of industrial integration.</p>
<table-wrap position="float" id="tab6">
<label>Table 6</label>
<caption>
<p>Results of national-level robustness testing.</p>
</caption>
<table frame="hsides" rules="groups">
<thead>
<tr>
<th align="left" valign="top">Variable</th>
<th align="center" valign="top">0.25</th>
<th align="center" valign="top">0.50</th>
<th align="center" valign="top">0.75</th>
<th align="center" valign="top">Variable</th>
<th align="center" valign="top">0.25</th>
<th align="center" valign="top">0.50</th>
<th align="center" valign="top">0.75</th>
</tr>
</thead>
<tbody>
<tr>
<td align="left" valign="middle">Constant</td>
<td align="center" valign="middle">0.2034&#x002A; (0.0110)</td>
<td align="center" valign="middle">0.2207&#x002A; (0.0074)</td>
<td align="center" valign="middle">0.2314&#x002A; (0.0081)</td>
<td align="center" valign="middle">Constant</td>
<td align="center" valign="middle">0.2204&#x002A; (0.0268)</td>
<td align="center" valign="middle">0.2208&#x002A; (0.0065)</td>
<td align="center" valign="middle">0.2460&#x002A; (0.0053)</td>
</tr>
<tr>
<td align="left" valign="middle">
<inline-formula>
<mml:math id="M73">
<mml:mi mathvariant="italic">DF</mml:mi>
</mml:math>
</inline-formula>
</td>
<td align="center" valign="middle">0.1986&#x002A; (0.0498)</td>
<td align="center" valign="middle">0.2996&#x002A; (0.0423)</td>
<td align="center" valign="middle">0.3697&#x002A; (0.0458)</td>
<td align="center" valign="middle">
<inline-formula>
<mml:math id="M74">
<mml:mi mathvariant="italic">DF</mml:mi>
</mml:math>
</inline-formula>
</td>
<td align="center" valign="middle">0.2397 (0.1555)</td>
<td align="center" valign="middle">0.3174&#x002A; (0.0391)</td>
<td align="center" valign="middle">0.2301&#x002A; (0.0250)</td>
</tr>
<tr>
<td align="left" valign="middle">
<inline-formula>
<mml:math id="M75">
<mml:mi mathvariant="italic">RE</mml:mi>
</mml:math>
</inline-formula>
</td>
<td align="center" valign="middle">0.2457&#x002A; (0.0690)</td>
<td align="center" valign="middle">0.0684 (0.0637)</td>
<td align="center" valign="middle">0.0225 (0.0661)</td>
<td align="center" valign="middle">
<inline-formula>
<mml:math id="M76">
<mml:mi mathvariant="italic">AI</mml:mi>
</mml:math>
</inline-formula>
</td>
<td align="center" valign="middle">0.0658 (0.1692)</td>
<td align="center" valign="middle">0.0212 (0.1058)</td>
<td align="center" valign="middle">0.2763&#x002A; (0.0554)</td>
</tr>
<tr>
<td align="left" valign="middle">Fitting</td>
<td align="center" valign="middle">0.2562</td>
<td align="center" valign="middle">0.2908</td>
<td align="center" valign="middle">0.4172</td>
<td align="center" valign="middle">Fitting</td>
<td align="center" valign="middle">0.1308</td>
<td align="center" valign="middle">0.2900</td>
<td align="center" valign="middle">0.4672</td>
</tr>
</tbody>
</table>
</table-wrap>
<p>These trends may reflect diminishing marginal returns and path dependence in the process of RI. In the early stages, integration is constrained primarily by shortages of production factors, underdeveloped markets, and fragmented industrial chains. At this point, entrepreneurial activity plays a catalytic role: it fills structural gaps, introduces new market participants and resources, and stimulates industrial dynamism. The contribution of entrepreneurship to integration is thus both direct and substantial.</p>
<p>However, as integration advances and industrial chains mature, the constraints shift. The focus moves from establishing basic linkages to upgrading value chains, enhancing productivity, and fostering competitiveness. Under these conditions, the proliferation of new enterprises alone contributes less to integration. Incumbent firms, fortified by capital and technological advantages, raise entry barriers, limiting opportunities for new entrants. The marginal impact of primary entrepreneurial activity diminishes, while high-quality entrepreneurship&#x2014;centered on value creation, efficiency gains, and sustainability&#x2014;becomes increasingly vital. This marks the entry point for agricultural innovation.</p>
<p>Yet innovation is often subject to delayed returns. In early integration stages, weak infrastructure, limited human capital, underdeveloped institutional frameworks, and restricted market demand hinder the adoption and diffusion of innovation. Consequently, its impact remains muted. Once a higher level of integration is achieved, however, the situation changes. More robust industrial systems, stronger factor markets, and increased absorptive capacity enable innovation to be scaled through multiplier effects, yielding increasing marginal returns.</p>
<p>In sum, rural entrepreneurship serves as a &#x201C;disruptor&#x201D; and &#x201C;growth catalyst&#x201D; during the nascent phases of integration, accelerating progress through enhanced market connectivity and resource mobilization. As integration deepens and competition intensifies, its marginal returns naturally wane. Conversely, agricultural innovation&#x2014;initially constrained by systemic limitations&#x2014;emerges as a &#x201C;quality and efficiency enhancer&#x201D; and &#x201C;value creator&#x201D; in more advanced stages, delivering transformative gains and exhibiting significant marginal contributions.</p>
<p>The robustness testing across the eastern, central, and western regions, as presented in <xref ref-type="table" rid="tab7">Table 7</xref>. In the eastern region, the results closely mirror national trends, affirming the general pattern. In the central and western regions, however, the effect of rural entrepreneurship on RI shifts from non-significant to strongly positive across higher quantiles, indicating its growing relevance in driving industrial development in these areas.</p>
<table-wrap position="float" id="tab7">
<label>Table 7</label>
<caption>
<p>Regional robustness testing across eastern, central, and western regions.</p>
</caption>
<table frame="hsides" rules="groups">
<thead>
<tr>
<th align="left" valign="top">Variable</th>
<th align="center" valign="top">0.25</th>
<th align="center" valign="top">0.50</th>
<th align="center" valign="top">0.75</th>
<th align="center" valign="top">Variable</th>
<th align="center" valign="top">0.25</th>
<th align="center" valign="top">0.50</th>
<th align="center" valign="top">0.75</th>
</tr>
</thead>
<tbody>
<tr>
<td align="left" valign="middle" colspan="8">Eastern region</td>
</tr>
<tr>
<td align="left" valign="middle">Constant</td>
<td align="center" valign="middle">0.2487&#x002A; (0.0179)</td>
<td align="center" valign="middle">0.2217&#x002A; (0.0245)</td>
<td align="center" valign="middle">0.2316&#x002A; (0.0245)</td>
<td align="center" valign="middle">Constant</td>
<td align="center" valign="middle">0.2053&#x002A; (0.0215)</td>
<td align="center" valign="middle">0.2012&#x002A; (0.0166)</td>
<td align="center" valign="middle">0.2373&#x002A; (0.0161)</td>
</tr>
<tr>
<td align="left" valign="middle">
<inline-formula>
<mml:math id="M77">
<mml:mi mathvariant="italic">DF</mml:mi>
</mml:math>
</inline-formula>
</td>
<td align="center" valign="middle">0.0697&#x002A;&#x002A;&#x002A; (0.0404)</td>
<td align="center" valign="middle">0.2654&#x002A; (0.0926)</td>
<td align="center" valign="middle">0.3177&#x002A; (0.0948)</td>
<td align="center" valign="middle">
<inline-formula>
<mml:math id="M78">
<mml:mi mathvariant="italic">DF</mml:mi>
</mml:math>
</inline-formula>
</td>
<td align="center" valign="middle">0.3446&#x002A; (0.0729)</td>
<td align="center" valign="middle">0.3842&#x002A; (0.0496)</td>
<td align="center" valign="middle">0.2568&#x002A; (0.0410)</td>
</tr>
<tr>
<td align="left" valign="middle">
<inline-formula>
<mml:math id="M79">
<mml:mi mathvariant="italic">RE</mml:mi>
</mml:math>
</inline-formula>
</td>
<td align="center" valign="middle">0.3808&#x002A; (0.0523)</td>
<td align="center" valign="middle">0.1513 (0.1181)</td>
<td align="center" valign="middle">0.1469 (0.9590)</td>
<td align="center" valign="middle">
<inline-formula>
<mml:math id="M80">
<mml:mi mathvariant="italic">AI</mml:mi>
</mml:math>
</inline-formula>
</td>
<td align="center" valign="middle">0.0510 (0.0935)</td>
<td align="center" valign="middle">0.0594 (0.0959)</td>
<td align="center" valign="middle">0.2604&#x002A; (0.0739)</td>
</tr>
<tr>
<td align="left" valign="middle">Fitting</td>
<td align="center" valign="middle">0.2241</td>
<td align="center" valign="middle">0.2917</td>
<td align="center" valign="middle">0.3040</td>
<td align="center" valign="middle">Fitting</td>
<td align="center" valign="middle">0.1209</td>
<td align="center" valign="middle">0.2675</td>
<td align="center" valign="middle">0.3837</td>
</tr>
<tr>
<td align="left" valign="middle" colspan="8">Central region</td>
</tr>
<tr>
<td align="left" valign="middle">Constant</td>
<td align="center" valign="middle">0.1736&#x002A; (0.0147)</td>
<td align="center" valign="middle">0.1932&#x002A; (0.0121)</td>
<td align="center" valign="middle">0.1868&#x002A; (0.0099)</td>
<td align="center" valign="middle">Constant</td>
<td align="center" valign="middle">0.2090&#x002A; (0.0175)</td>
<td align="center" valign="middle">0.1971&#x002A; (0.0146)</td>
<td align="center" valign="middle">0.2177&#x002A; (0.0257)</td>
</tr>
<tr>
<td align="left" valign="middle">
<inline-formula>
<mml:math id="M81">
<mml:mi mathvariant="italic">DF</mml:mi>
</mml:math>
</inline-formula>
</td>
<td align="center" valign="middle">0.5419&#x002A; (0.0845)</td>
<td align="center" valign="middle">0.5143&#x002A; (0.0498)</td>
<td align="center" valign="middle">0.5773&#x002A; (0.0402)</td>
<td align="center" valign="middle">
<inline-formula>
<mml:math id="M82">
<mml:mi mathvariant="italic">DF</mml:mi>
</mml:math>
</inline-formula>
</td>
<td align="center" valign="middle">0.2643&#x002A; (0.1040)</td>
<td align="center" valign="middle">0.3785&#x002A; (0.0885)</td>
<td align="center" valign="middle">0.2682 (0.2037)</td>
</tr>
<tr>
<td align="left" valign="middle">
<inline-formula>
<mml:math id="M83">
<mml:mi mathvariant="italic">RE</mml:mi>
</mml:math>
</inline-formula>
</td>
<td align="center" valign="middle">0.1024 (0.1456)</td>
<td align="center" valign="middle">0.1018 (0.0619)</td>
<td align="center" valign="middle">0.0994&#x002A;&#x002A; (0.0437)</td>
<td align="center" valign="middle">
<inline-formula>
<mml:math id="M84">
<mml:mi mathvariant="italic">AI</mml:mi>
</mml:math>
</inline-formula>
</td>
<td align="center" valign="middle">0.3612&#x002A; (0.1121)</td>
<td align="center" valign="middle">0.2963&#x002A;&#x002A; (0.1315)</td>
<td align="center" valign="middle">0.5522 (0.4221)</td>
</tr>
<tr>
<td align="left" valign="middle">Fitting</td>
<td align="center" valign="middle">0.4030</td>
<td align="center" valign="middle">0.5210</td>
<td align="center" valign="middle">0.4795</td>
<td align="center" valign="middle">Fitting</td>
<td align="center" valign="middle">0.4614</td>
<td align="center" valign="middle">0.5400</td>
<td align="center" valign="middle">0.5092</td>
</tr>
<tr>
<td align="left" valign="middle" colspan="8">Western region</td>
</tr>
<tr>
<td align="left" valign="middle">Constant</td>
<td align="center" valign="middle">0.2606&#x002A; (0.0142)</td>
<td align="center" valign="middle">0.2863&#x002A; (0.0137)</td>
<td align="center" valign="middle">0.3297&#x002A; (0.0226)</td>
<td align="center" valign="middle">Constant</td>
<td align="center" valign="middle">0.2680&#x002A; (0.0158)</td>
<td align="center" valign="middle">0.2953&#x002A; (0.0173)</td>
<td align="center" valign="middle">0.3090&#x002A; (0.0301)</td>
</tr>
<tr>
<td align="left" valign="middle">
<inline-formula>
<mml:math id="M85">
<mml:mi mathvariant="italic">DF</mml:mi>
</mml:math>
</inline-formula>
</td>
<td align="center" valign="middle">0.0064 (0.0565)</td>
<td align="center" valign="middle">0.0205 (0.0551)</td>
<td align="center" valign="middle">0.0925 (0.0724)</td>
<td align="center" valign="middle">
<inline-formula>
<mml:math id="M86">
<mml:mi mathvariant="italic">DF</mml:mi>
</mml:math>
</inline-formula>
</td>
<td align="center" valign="middle">0.1002 (0.0937)</td>
<td align="center" valign="middle">0.1607 (0.1134)</td>
<td align="center" valign="middle">0.1110 (0.2291)</td>
</tr>
<tr>
<td align="left" valign="middle">
<inline-formula>
<mml:math id="M87">
<mml:mi mathvariant="italic">RE</mml:mi>
</mml:math>
</inline-formula>
</td>
<td align="center" valign="middle">0.1118 (0.1193)</td>
<td align="center" valign="middle">0.1905&#x002A;&#x002A;&#x002A; (0.1139)</td>
<td align="center" valign="middle">0.2851&#x002A;&#x002A; (0.1335)</td>
<td align="center" valign="middle">
<inline-formula>
<mml:math id="M88">
<mml:mi mathvariant="italic">AI</mml:mi>
</mml:math>
</inline-formula>
</td>
<td align="center" valign="middle">0.2417 (0.1603)</td>
<td align="center" valign="middle">0.2443 (0.2149)</td>
<td align="center" valign="middle">0.2142 (0.5001)</td>
</tr>
<tr>
<td align="left" valign="middle">Fitting</td>
<td align="center" valign="middle">0.0107</td>
<td align="center" valign="middle">0.0405</td>
<td align="center" valign="middle">0.0616</td>
<td align="center" valign="middle">Fitting</td>
<td align="center" valign="middle">0.0160</td>
<td align="center" valign="middle">0.0142</td>
<td align="center" valign="middle">0.0033</td>
</tr>
</tbody>
</table>
</table-wrap>
<p>By contrast, the role of agricultural innovation diverges across regions. In the central region, its influence on RI diminishes&#x2014;significant at lower quantiles but fading at higher ones&#x2014;suggesting an early-stage contribution that weakens as integration progresses. In the western region, agricultural innovation shows no significant effect across all quantiles, underscoring the limited role of innovation in shaping industrial integration in this context. These findings highlight distinct regional trajectories in how entrepreneurship and innovation contribute to rural industrial transformation.</p>
<p>In the eastern region, high labor and land costs have eroded the profitability of labor-intensive entrepreneurship, accelerating a shift towards high-tech, innovation-driven models. The region&#x2019;s mature market division of labor further limits the viability of new, homogeneous ventures, thereby reducing their marginal contribution to RI. However, the eastern region&#x2019;s advanced technological base facilitates closer alignment between research and application&#x2014;what might be termed a seamless integration between the &#x201C;laboratory&#x201D; and the &#x201C;farmland.&#x201D; High-income consumer segments continue to pay premiums for quality agricultural products, incentivizing agribusinesses to invest in technological innovation and amplifying the region&#x2019;s integration momentum.</p>
<p>In contrast, the central and western regions have increasingly absorbed agricultural processing activities from the east, gradually strengthening local industrial chains. Infrastructure initiatives, such as universal broadband access, have lowered barriers to entry and catalyzed the rapid growth of rural e-commerce and other entrepreneurial models, thereby enhancing marginal returns. Nevertheless, agricultural innovation in these regions has underperformed. Limited capacity for technology transfer and application has constrained its impact, resulting in only modest contributions to rural industrial development.</p>
<p>Our analysis, from the perspective of main versus non-main grain-producing areas, reveals a progressive increase in the impact of digital factors on the integrated development of rural industries as we move across higher quantiles. This trend underscores a consistent and growing influence of digitalization on enhancing RI, highlighting the pivotal role of digital advancements in driving the economic development of rural areas, irrespective of their agricultural production focus.</p>
<p>As shown in <xref ref-type="table" rid="tab8">Table 8</xref>, our analysis within main grain-producing areas reveals a nuanced relationship between rural entrepreneurship, agricultural innovation, and the integrated development of rural industries across varying levels of RI. As we examine higher quantiles, the influence of rural entrepreneurship on RI demonstrates a notable increase, with the estimated coefficient rising from 0.0247 to 0.0907. Initially non-significant, the impact becomes positively significant at higher quantiles, highlighting that rural entrepreneurship exerts a stronger effect in provinces characterized by advanced levels of RI. Conversely, the trajectory of agricultural innovation&#x2019;s influence on RI presents a contrasting pattern. Starting with a high estimated coefficient of 0.3446, indicating a strong positive impact on RI, the coefficient decreases to 0.1716 at higher quantiles. This trend suggests that while agricultural innovation significantly contributes to the development of RI, its relative impact diminishes in provinces with more developed rural industries.</p>
<table-wrap position="float" id="tab8">
<label>Table 8</label>
<caption>
<p>Robustness testing across main and non-main grain-producing areas.</p>
</caption>
<table frame="hsides" rules="groups">
<thead>
<tr>
<th align="left" valign="top">Variable</th>
<th align="center" valign="top">0.25</th>
<th align="center" valign="top">0.50</th>
<th align="center" valign="top">0.75</th>
<th align="center" valign="top">Variable</th>
<th align="center" valign="top">0.25</th>
<th align="center" valign="top">0.50</th>
<th align="center" valign="top">0.75</th>
</tr>
</thead>
<tbody>
<tr>
<td align="left" valign="middle" colspan="8">Main grain-producing areas</td>
</tr>
<tr>
<td align="left" valign="middle">Constant</td>
<td align="center" valign="middle">0.1824&#x002A; (0.0262)</td>
<td align="center" valign="middle">0.1773&#x002A; (0.0102)</td>
<td align="center" valign="middle">0.1775&#x002A; (0.0059)</td>
<td align="center" valign="middle">Constant</td>
<td align="center" valign="middle">0.2264&#x002A; (0.0249)</td>
<td align="center" valign="middle">0.1983&#x002A; (0.0121)</td>
<td align="center" valign="middle">0.1983&#x002A; (0.0129)</td>
</tr>
<tr>
<td align="left" valign="middle">
<inline-formula>
<mml:math id="M89">
<mml:mi mathvariant="italic">DF</mml:mi>
</mml:math>
</inline-formula>
</td>
<td align="center" valign="middle">0.4497&#x002A; (0.1297)</td>
<td align="center" valign="middle">05604&#x002A; (0.0460)</td>
<td align="center" valign="middle">0.6146&#x002A; (0.0225)</td>
<td align="center" valign="middle">
<inline-formula>
<mml:math id="M90">
<mml:mi mathvariant="italic">DF</mml:mi>
</mml:math>
</inline-formula>
</td>
<td align="center" valign="middle">0.1680 (0.1493)</td>
<td align="center" valign="middle">0.4024&#x002A; (0.0668)</td>
<td align="center" valign="middle">0.4516&#x002A; (0.0716)</td>
</tr>
<tr>
<td align="left" valign="middle">
<inline-formula>
<mml:math id="M91">
<mml:mi mathvariant="italic">RE</mml:mi>
</mml:math>
</inline-formula>
</td>
<td align="center" valign="middle">0.0247 (0.0700)</td>
<td align="center" valign="middle">0.0440 (0.0500)</td>
<td align="center" valign="middle">0.0907&#x002A;&#x002A; (0.0389)</td>
<td align="center" valign="middle">
<inline-formula>
<mml:math id="M92">
<mml:mi mathvariant="italic">AI</mml:mi>
</mml:math>
</inline-formula>
</td>
<td align="center" valign="middle">0.3446&#x002A;&#x002A; (0.34459)</td>
<td align="center" valign="middle">0.1890&#x002A; (0.0699)</td>
<td align="center" valign="middle">0.1716&#x002A;&#x002A; (0.0796)</td>
</tr>
<tr>
<td align="left" valign="middle">Fitting</td>
<td align="center" valign="middle">0.3146</td>
<td align="center" valign="middle">0.5349</td>
<td align="center" valign="middle">0.6344</td>
<td align="center" valign="middle">Fitting</td>
<td align="center" valign="middle">0.3598</td>
<td align="center" valign="middle">0.5563</td>
<td align="center" valign="middle">0.6503</td>
</tr>
<tr>
<td align="left" valign="middle" colspan="8">Non-main grain-producing areas</td>
</tr>
<tr>
<td align="left" valign="middle">Constant</td>
<td align="center" valign="middle">0.1905&#x002A; (0.0101)</td>
<td align="center" valign="middle">0.2262&#x002A; (0.0106)</td>
<td align="center" valign="middle">0.2415&#x002A; (0.0083)</td>
<td align="center" valign="middle">Constant</td>
<td align="center" valign="middle">0.1849&#x002A; (0.0227)</td>
<td align="center" valign="middle">0.2072&#x002A; (0.0102)</td>
<td align="center" valign="middle">0.2319&#x002A; (0.0076)</td>
</tr>
<tr>
<td align="left" valign="middle">
<inline-formula>
<mml:math id="M93">
<mml:mi mathvariant="italic">DF</mml:mi>
</mml:math>
</inline-formula>
</td>
<td align="center" valign="middle">0.1404&#x002A; (0.0222)</td>
<td align="center" valign="middle">0.1924&#x002A; (0.0597)</td>
<td align="center" valign="middle">0.2529&#x002A; (0.0470)</td>
<td align="center" valign="middle">
<inline-formula>
<mml:math id="M94">
<mml:mi mathvariant="italic">DF</mml:mi>
</mml:math>
</inline-formula>
</td>
<td align="center" valign="middle">0.3627&#x002A; (0.1219)</td>
<td align="center" valign="middle">0.3849&#x002A; (0.0441)</td>
<td align="center" valign="middle">0.3799&#x002A; (0.0330)</td>
</tr>
<tr>
<td align="left" valign="middle">
<inline-formula>
<mml:math id="M95">
<mml:mi mathvariant="italic">RE</mml:mi>
</mml:math>
</inline-formula>
</td>
<td align="center" valign="middle">0.4401&#x002A; (0.0490)</td>
<td align="center" valign="middle">0.2524&#x002A; (0.0996)</td>
<td align="center" valign="middle">0.1211 (0.0805)</td>
<td align="center" valign="middle">
<inline-formula>
<mml:math id="M96">
<mml:mi mathvariant="italic">AI</mml:mi>
</mml:math>
</inline-formula>
</td>
<td align="center" valign="middle">0.2666&#x002A;&#x002A;&#x002A; (0.1404)</td>
<td align="center" valign="middle">0.2167&#x002A; (0.0769)</td>
<td align="center" valign="middle">0.1806&#x002A; (0.0592)</td>
</tr>
<tr>
<td align="left" valign="middle">Fitting</td>
<td align="center" valign="middle">0.2126</td>
<td align="center" valign="middle">0.2969</td>
<td align="center" valign="middle">0.4366</td>
<td align="center" valign="middle">Fitting</td>
<td align="center" valign="middle">0.1761</td>
<td align="center" valign="middle">0.2967</td>
<td align="center" valign="middle">0.4593</td>
</tr>
</tbody>
</table>
</table-wrap>
<p>Analyzing the impact within non-main grain-producing regions, we observe a distinct pattern in the relationship between rural entrepreneurship, agricultural innovation, and the development of RI across various quantiles. The estimated coefficient for rural entrepreneurship on RI decreases from 0.4401 to 0.1211 as we progress to higher quantiles. Initially significant, this influence transitions to non-significant, underscoring that rural entrepreneurship is particularly impactful in provinces with less advanced levels of RI. In contrast, agricultural innovation consistently exerts a significant positive effect on RI across all quantiles, although the magnitude of this impact diminishes from 0.2666 to 0.1806. This decreasing trend in the estimated coefficient suggests that while agricultural innovation remains a critical driver for RI, its relative influence is more pronounced in provinces with lower levels of RI, decreasing as the level of integration advances.</p>
<p>In major grain-producing regions, the core objective of industrial integration is primarily to reduce costs, enhance efficiency, ensure stable supply, and bolster the competitiveness of the grain sector&#x2014;rather than to foster diversification or novel business formats. Entrusted with the responsibility of national food security, these regions exhibit a relatively rigid agricultural production structure. As a result, industrial chain extension and business model innovation are constrained by stronger policy boundaries and path dependence. Demand for high value-added innovation within large-scale grain systems remains limited.</p>
<p>At advanced stages of integration, readily attainable technological innovations in grain production may approach saturation or encounter bottlenecks, reducing their marginal returns. Breakthrough innovations, while potentially transformative, are hampered by long development cycles, high risk, and delayed payoff. Furthermore, these regions are typically characterized by high land turnover rates and the dominance of large-scale farming enterprises. In such contexts, entrepreneurship that enhances service provision, logistics, and cost-efficiency aligns more closely with regional needs, offering immediate and practical gains.</p>
<p>In contrast, non-major grain-producing areas are marked by more diversified agricultural structures and lower barriers to entry for new ventures. In early integration stages, this fosters a surge in low-threshold, homogeneous entrepreneurship. However, as integration deepens, market saturation, intensified competition, and diminishing returns set in. At higher levels of integration, the marginal contribution of conventional entrepreneurship declines sharply.</p>
<p>Enhancing competitiveness in these regions thus hinges on innovation-led differentiation and value addition. The observed decline in marginal gains at high percentiles likely reflects the exhaustion of easily diffused innovations and the slow maturation of more advanced ones. While higher-level innovations demand greater investment and longer time horizons, their absolute contributions to rural industrial transformation remain substantial and irreplaceable.</p>
<p>As displayed in <xref ref-type="table" rid="tab9">Table 9</xref>, our analysis across different digital dimensions reveals nuanced effects on the development of RI. Digital infrastructure emerges as a consistent positive driver for RI across varying quantiles, indicating its foundational role in facilitating rural economic development. The impact of rural entrepreneurship on RI demonstrates a significant to non-significant shift as quantiles increase, with the estimated coefficient depicting a downward trend. This pattern is observed not only in the context of digital infrastructure but also regarding the level of digital technology, suggesting that while rural entrepreneurship initially contributes to RI, its influence wanes at higher levels of integration. Conversely, from the perspectives of digital efficiency and digital product services, rural entrepreneurship exhibits a pronounced positive effect on RI, underscoring the importance of these digital aspects in empowering rural entrepreneurs. Regarding digital infrastructure and product services, agricultural innovation significantly propels RI forward, with the estimated coefficient indicating an upward trend as quantiles increase. This highlights the critical role of innovation in agriculture, particularly supported by robust digital infrastructure and services. Similarly, the influence of agricultural innovation on RI, viewed through the lenses of digital technology and efficiency, transitions from non-significant to significantly positive, with a gradually increasing coefficient. This suggests the growing importance of agricultural innovation in enhancing RI, especially as digital technology and efficiency improve.</p>
<table-wrap position="float" id="tab9">
<label>Table 9</label>
<caption>
<p>Dimensional robustness testing of RI influences.</p>
</caption>
<table frame="hsides" rules="groups">
<thead>
<tr>
<th align="left" valign="top">Variable</th>
<th align="center" valign="top">0.25</th>
<th align="center" valign="top">0.50</th>
<th align="center" valign="top">0.75</th>
<th align="center" valign="top">Variable</th>
<th align="center" valign="top">0.25</th>
<th align="center" valign="top">0.50</th>
<th align="center" valign="top">0.75</th>
</tr>
</thead>
<tbody>
<tr>
<td align="left" valign="middle" colspan="8"><italic>RI</italic></td>
</tr>
<tr>
<td align="left" valign="middle">Constant</td>
<td align="center" valign="middle">0.2215&#x002A; (0.0137)</td>
<td align="center" valign="middle">0.2124&#x002A; (0.0127)</td>
<td align="center" valign="middle">0.2132&#x002A; (0.0082)</td>
<td align="center" valign="middle">Constant</td>
<td align="center" valign="middle">0.2618&#x002A; (0.0154)</td>
<td align="center" valign="middle">0.2211&#x002A; (0.0099)</td>
<td align="center" valign="middle">0.2363&#x002A; (0.0080)</td>
</tr>
<tr>
<td align="left" valign="middle">Digital Infrastructure</td>
<td align="center" valign="middle">0.1219&#x002A; (0.0310)</td>
<td align="center" valign="middle">0.3077&#x002A; (0.0718)</td>
<td align="center" valign="middle">0.4034&#x002A; (0.0404)</td>
<td align="center" valign="middle">Digital Infrastructure</td>
<td align="center" valign="middle">0.0310 (0.0777)</td>
<td align="center" valign="middle">0.2724&#x002A; (0.0517)</td>
<td align="center" valign="middle">0.2630&#x002A; (0.0409)</td>
</tr>
<tr>
<td align="left" valign="middle">
<inline-formula>
<mml:math id="M97">
<mml:mi mathvariant="italic">RE</mml:mi>
</mml:math>
</inline-formula>
</td>
<td align="center" valign="middle">0.2401&#x002A;&#x002A;&#x002A; (0.1305)</td>
<td align="center" valign="middle">0.1663&#x002A;&#x002A;&#x002A; (0.1030)</td>
<td align="center" valign="middle">0.0968 (0.0619)</td>
<td align="center" valign="middle">
<inline-formula>
<mml:math id="M98">
<mml:mi mathvariant="italic">AI</mml:mi>
</mml:math>
</inline-formula>
</td>
<td align="center" valign="middle">0.2550&#x002A; (0.0594)</td>
<td align="center" valign="middle">0.1852&#x002A;&#x002A;&#x002A; (0.0950)</td>
<td align="center" valign="middle">0.3028&#x002A; (0.0686)</td>
</tr>
<tr>
<td align="left" valign="middle">Fitting</td>
<td align="center" valign="middle">0.1062</td>
<td align="center" valign="middle">0.2614</td>
<td align="center" valign="middle">0.4152</td>
<td align="center" valign="middle">Fitting</td>
<td align="center" valign="middle">0.1164</td>
<td align="center" valign="middle">0.2668</td>
<td align="center" valign="middle">0.4522</td>
</tr>
<tr>
<td align="left" valign="middle" colspan="8"><italic>RI</italic></td>
</tr>
<tr>
<td align="left" valign="middle">Variable</td>
<td align="center" valign="middle">0.25</td>
<td align="center" valign="middle">0.50</td>
<td align="center" valign="middle">0.75</td>
<td align="center" valign="middle">Variable</td>
<td align="center" valign="middle">0.25</td>
<td align="center" valign="middle">0.50</td>
<td align="center" valign="middle">0.75</td>
</tr>
<tr>
<td align="left" valign="middle">Constant</td>
<td align="center" valign="middle">0.2130&#x002A; (0.0059)</td>
<td align="center" valign="middle">0.2409&#x002A; (0.0061)</td>
<td align="center" valign="middle">0.2550&#x002A; (0.0070)</td>
<td align="center" valign="middle">Constant</td>
<td align="center" valign="middle">0.2248&#x002A; (0.0078)</td>
<td align="center" valign="middle">0.2410&#x002A; (0.0071)</td>
<td align="center" valign="middle">0.2660&#x002A; (0.0053)</td>
</tr>
<tr>
<td align="left" valign="middle">Digital Technology</td>
<td align="center" valign="middle">0.1804&#x002A; (0.0230)</td>
<td align="center" valign="middle">0.1994&#x002A; (0.0341)</td>
<td align="center" valign="middle">0.2665&#x002A; (0.0458)</td>
<td align="center" valign="middle">Digital Technology</td>
<td align="center" valign="middle">0.2241&#x002A; (0.0462)</td>
<td align="center" valign="middle">0.1996&#x002A;&#x002A;&#x002A; (0.1167)</td>
<td align="center" valign="middle">0.1422&#x002A; (0.0292)</td>
</tr>
<tr>
<td align="left" valign="middle">
<inline-formula>
<mml:math id="M99">
<mml:mi mathvariant="italic">RE</mml:mi>
</mml:math>
</inline-formula>
</td>
<td align="center" valign="middle">0.2047&#x002A; (0.0497)</td>
<td align="center" valign="middle">0.103463 (0.0666)</td>
<td align="center" valign="middle">0.0924 (0.1235)</td>
<td align="center" valign="middle">
<inline-formula>
<mml:math id="M100">
<mml:mi mathvariant="italic">AI</mml:mi>
</mml:math>
</inline-formula>
</td>
<td align="center" valign="middle">0.0797 (0.0782)</td>
<td align="center" valign="middle">0.1368 (0.4626)</td>
<td align="center" valign="middle">0.3689&#x002A; (0.0685)</td>
</tr>
<tr>
<td align="left" valign="middle">Fitting</td>
<td align="center" valign="middle">0.2004</td>
<td align="center" valign="middle">0.2709</td>
<td align="center" valign="middle">0.3552</td>
<td align="center" valign="middle">Fitting</td>
<td align="center" valign="middle">0.1808</td>
<td align="center" valign="middle">0.2681</td>
<td align="center" valign="middle">0.4399</td>
</tr>
<tr>
<td align="left" valign="middle" colspan="8"><italic>RI</italic></td>
</tr>
<tr>
<td align="left" valign="middle">Constant</td>
<td align="center" valign="middle">0.2192&#x002A; (0.0070)</td>
<td align="center" valign="middle">0.2483&#x002A; (0.0054)</td>
<td align="center" valign="middle">0.2572&#x002A; (0.0066)</td>
<td align="center" valign="middle">Constant</td>
<td align="center" valign="middle">0.2386&#x002A; (0.0106)</td>
<td align="center" valign="middle">0.2480&#x002A; (0.0058)</td>
<td align="center" valign="middle">0.2697&#x002A; (0.0049)</td>
</tr>
<tr>
<td align="left" valign="middle">Digital Efficiency</td>
<td align="center" valign="middle">0.1337&#x002A; (0.0158)</td>
<td align="center" valign="middle">0.1304&#x002A; (0.0193)</td>
<td align="center" valign="middle">0.1662&#x002A; (0.0262)</td>
<td align="center" valign="middle">Digital Efficiency</td>
<td align="center" valign="middle">0.1080&#x002A;&#x002A; (0.0506)</td>
<td align="center" valign="middle">0.1288&#x002A;&#x002A; (0.0515)</td>
<td align="center" valign="middle">0.0844&#x002A; (0.0207)</td>
</tr>
<tr>
<td align="left" valign="middle">
<inline-formula>
<mml:math id="M101">
<mml:mi mathvariant="italic">RE</mml:mi>
</mml:math>
</inline-formula>
</td>
<td align="center" valign="middle">0.1942&#x002A; (0.0491)</td>
<td align="center" valign="middle">0.1811&#x002A; (0.0585)</td>
<td align="center" valign="middle">0.2945&#x002A; (0.0786)</td>
<td align="center" valign="middle">
<inline-formula>
<mml:math id="M102">
<mml:mi mathvariant="italic">AI</mml:mi>
</mml:math>
</inline-formula>
</td>
<td align="center" valign="middle">0.0559 (0.0717)</td>
<td align="center" valign="middle">0.2989 (0.2462)</td>
<td align="center" valign="middle">0.4661&#x002A; (0.0573)</td>
</tr>
<tr>
<td align="left" valign="middle">Fitting</td>
<td align="center" valign="middle">0.1600</td>
<td align="center" valign="middle">0.2392</td>
<td align="center" valign="middle">0.2922</td>
<td align="center" valign="middle">Fitting</td>
<td align="center" valign="middle">0.1332</td>
<td align="center" valign="middle">0.2438</td>
<td align="center" valign="middle">0.4194</td>
</tr>
<tr>
<td align="left" valign="middle" colspan="8"><italic>RI</italic></td>
</tr>
<tr>
<td align="left" valign="middle">Variable</td>
<td align="center" valign="middle">0.25</td>
<td align="center" valign="middle">0.50</td>
<td align="center" valign="middle">0.75</td>
<td align="center" valign="middle">Variable</td>
<td align="center" valign="middle">0.25</td>
<td align="center" valign="middle">0.50</td>
<td align="center" valign="middle">0.75</td>
</tr>
<tr>
<td align="left" valign="middle">Constant</td>
<td align="center" valign="middle">0.2222&#x002A; (0.0119)</td>
<td align="center" valign="middle">0.2329&#x002A; (0.0075)</td>
<td align="center" valign="middle">0.2509&#x002A; (0.0077)</td>
<td align="center" valign="middle">Constant</td>
<td align="center" valign="middle">0.2559&#x002A; (0.0183)</td>
<td align="center" valign="middle">0.2366&#x002A; (0.0055)</td>
<td align="center" valign="middle">0.2590&#x002A; (0.0048)</td>
</tr>
<tr>
<td align="left" valign="middle">Digital Product Services</td>
<td align="center" valign="middle">0.1599&#x002A; (0.0461)</td>
<td align="center" valign="middle">0.2421&#x002A; (0.0472)</td>
<td align="center" valign="middle">0.3034&#x002A; (0.0425)</td>
<td align="center" valign="middle">Digital Product Services</td>
<td align="center" valign="middle">0.0027 (0.1093)</td>
<td align="center" valign="middle">0.2255&#x002A; (0.0355)</td>
<td align="center" valign="middle">0.1879&#x002A; (0.0222)</td>
</tr>
<tr>
<td align="left" valign="middle">
<inline-formula>
<mml:math id="M103">
<mml:mi mathvariant="italic">RE</mml:mi>
</mml:math>
</inline-formula>
</td>
<td align="center" valign="middle">0.2385&#x002A;&#x002A; (0.1021)</td>
<td align="center" valign="middle">0.2728&#x002A; (0.0638)</td>
<td align="center" valign="middle">0.1823&#x002A; (0.0521)</td>
<td align="center" valign="middle">
<inline-formula>
<mml:math id="M104">
<mml:mi mathvariant="italic">AI</mml:mi>
</mml:math>
</inline-formula>
</td>
<td align="center" valign="middle">0.2378&#x002A; (0.0593)</td>
<td align="center" valign="middle">0.2773&#x002A; (0.0971)</td>
<td align="center" valign="middle">0.3893&#x002A; (0.0492)</td>
</tr>
<tr>
<td align="left" valign="middle">Fitting</td>
<td align="center" valign="middle">0.0920</td>
<td align="center" valign="middle">0.2373</td>
<td align="center" valign="middle">0.3495</td>
<td align="center" valign="middle">Fitting</td>
<td align="center" valign="middle">0.1146</td>
<td align="center" valign="middle">0.2622</td>
<td align="center" valign="middle">0.4447</td>
</tr>
</tbody>
</table>
</table-wrap>
<p>Our comparative analysis of quantile results across different regions and digital dimensions consistently underscores the significant positive influence of digital factors on the development of RI. This analysis reveals that while the impact of rural entrepreneurship on RI exhibits variability across quantiles, it consistently contributes positively to RI development. Similarly, agricultural innovation demonstrates a significant forward-direction influence on RI, underscoring its pivotal role in enhancing rural industries. The variability in the degree of impact across quantiles and contexts notwithstanding, both rural entrepreneurship and agricultural innovation exhibit clear positive effects on RI. These findings affirm the robustness of our results, indicating that digital factors, rural entrepreneurship, and agricultural innovation are integral to the advancement of RI, irrespective of regional or dimensional specificities.</p>
<p>At early stages of RI, investments in digital infrastructure can rapidly yield returns, catalyzing entrepreneurial activity and market participation. However, as integration deepens, the marginal stimulus provided by additional infrastructure diminishes. Reliance solely on infrastructure and general-purpose technologies risks entrenching low-level, undifferentiated competition, insufficient to meet the demands for value-added differentiation characteristic of advanced integration stages.</p>
<p>High-tech entrepreneurship&#x2014;such as intelligent breeding or drone-enabled crop protection&#x2014;requires substantial fixed capital investment (e.g., agricultural IoT systems, satellite remote sensing) and specialized expertise, posing significant barriers for most rural entrepreneurs. Consequently, technological reserves often fail to translate into entrepreneurial competitiveness. At low levels of integration, these advanced innovations remain largely unviable due to limited supporting infrastructure. In contrast, at high levels of integration, improvements in digital infrastructure&#x2014;such as widespread 5G coverage and the deployment of agricultural big data platforms&#x2014;amplify the marginal returns to innovation, as reflected in increasing coefficients.</p>
<p>Digital technologies directly reduce transaction costs and inventory risks, while digital services offer accessible pathways to value creation. Industrial service innovations generate new consumption scenarios and unlock untapped markets. Platform-based tools further lower technological thresholds, enabling ordinary entrepreneurs to engage with high-value ecosystems. However, realizing the full potential of digital innovation requires advanced absorptive capacity, such as data analytics expertise for deploying digital twins. At low integration levels, the scarcity of human capital limits such capabilities. At higher levels, the accumulation of skills and experience&#x2014;facilitated by &#x201C;learning-by-doing&#x201D; dynamics&#x2014;overcomes these barriers, resulting in a significant and positive impact on entrepreneurial performance.</p>
</sec>
</sec>
<sec sec-type="discussion" id="sec17">
<label>5</label>
<title>Discussion</title>
<sec id="sec18">
<label>5.1</label>
<title>Research findings</title>
<p>This study, leveraging data from 2013 to 2021, examines the role of digital factors in enhancing RI, with a specific focus on the mechanisms of rural entrepreneurship and agricultural innovation. Our comprehensive analysis spans national, regional, and various digital dimensions, employing intermediary effect models and quantile regression methods to elucidate the dynamics at play.</p>
<p>Firstly, our analysis identifies digital factors as key enhancers of rural entrepreneurship and agricultural innovation, with the magnitude of their influence exhibiting significant regional and sectoral variations. Specifically, the impact of digital factors on rural entrepreneurship and innovation is notably strongest in the eastern regions, reflecting a more pronounced digital transformation in these areas. In contrast, the central and western regions experience a relatively weaker influence, suggesting a need for targeted digital infrastructure and policy support to bridge the regional digital divide. Within the agricultural sector, the influence of digital factors on rural entrepreneurship shows minor differences between main and non-main grain-producing areas, with non-main areas experiencing slightly greater benefits. This indicates a more uniform digital penetration in the entrepreneurial domain across agricultural contexts. However, when it comes to rural innovation, main grain-producing areas enjoy a more significant boost from digital factors, highlighting the role of digital technologies in enhancing innovation in regions with intensive agricultural production.</p>
<p>Secondly, our findings elucidate the mediating roles of rural entrepreneurship and agricultural innovation in the process through which digital factors facilitate RI. The impact of these mediating factors varies across different regions and agricultural contexts. In terms of the mediation by rural entrepreneurship, we observe a decreasing trend from the eastern regions to the western and central regions. This indicates a stronger mediating effect in the eastern regions, diminishing progressively westward. Conversely, the mediation by agricultural innovation shows a different pattern, being most pronounced in the central regions, followed by the eastern and western regions. This suggests regional disparities in how agricultural innovation influences the digital transformation of rural industries. When contrasting main grain-producing areas with non-main grain-producing areas, the intermediary effect of rural entrepreneurship is more significant in non-main grain-producing regions. This points to a greater role of entrepreneurship in mediating digital impacts in areas with less intensive grain production. On the other hand, the mediating effect of agricultural innovation is more substantial in main grain-producing areas, highlighting the importance of innovation in agriculture for digital empowerment in regions focused on grain production.</p>
<p>Thirdly, our robustness testing further substantiates the significant positive influence of digital factors on the development of RI. While rural entrepreneurship consistently demonstrates a positive influence on RI, this impact exhibits variability across different quantiles. Despite these fluctuations, rural entrepreneurship maintains a significant forward-moving impact on RI development. Agricultural innovation, akin to rural entrepreneurship, plays a substantial role in enhancing RI. Our findings indicate that its impact, much like that of rural entrepreneurship, varies across quantiles, reinforcing the complexity and multifaceted nature of these influences. The robustness tests across different regions reveal divergent trends in the influence of rural entrepreneurship and agricultural innovation on RI. As quantiles increase, these influences show varying trajectories, with some regions even exhibiting non-significant impacts. This highlights the heterogeneity in the effectiveness of these factors across different regional and sectoral contexts.</p>
<p>Fourthly, our analysis across different digital dimensions reveals that digital infrastructure, technology level, efficiency, and product services all substantially foster RI in a positive manner. Each digital dimension&#x2014;infrastructure, technology level, efficiency, and product services&#x2014;demonstrates a significant and positive role in promoting RI. This underscores the broad and multifaceted influence of digitalization in facilitating rural economic development. Additionally, these digital factors exert a significant positive impact on both rural entrepreneurship and agricultural innovation. Their enhancement of these areas further contributes to the advancement of RI, highlighting the interconnected nature of digital factors and rural economic activities. Importantly, rural entrepreneurship and agricultural innovation act as intermediary forces in the digital empowerment process. Their mediating roles vary depending on the specific digital dimension in question. For rural entrepreneurship, the order of mediating effects descends from digital efficiency to digital technology. For agricultural innovation, the sequence is similarly characterized, starting with digital efficiency and ending with digital technology. This dimensional analysis reveals that while all digital factors positively impact RI, the extent of their influence through rural entrepreneurship and agricultural innovation varies. The nuanced mediating effects across these dimensions suggest that targeted strategies might be required to fully leverage the potential of digitalization in different aspects of rural development.</p>
</sec>
<sec id="sec19">
<label>5.2</label>
<title>Theoretical implications</title>
<p>This study extends existing theoretical frameworks by critically addressing several identified gaps in the literature concerning the dynamics of RI driven by digitalization. First, previous research largely treated digitalization&#x2019;s impact on rural economies in broad strokes, often neglecting regional and sector-specific heterogeneity (<xref ref-type="bibr" rid="ref60">Zhang L. et al., 2023</xref>; <xref ref-type="bibr" rid="ref61">Zhang Z. P. et al., 2023</xref>; <xref ref-type="bibr" rid="ref20">Lei et al., 2025</xref>). By explicitly examining the nuanced variations across regional contexts&#x2014;particularly the distinct patterns observed between eastern, central, and western regions&#x2014;and differentiating the mediating roles of rural entrepreneurship and agricultural innovation, our study provides a more granular theoretical understanding of digital technology&#x2019;s varied impacts.</p>
<p>Second, the conventional metrics used in prior research&#x2014;primarily educational attainment or general infrastructure indices&#x2014;have been critiqued as insufficient for fully capturing the complexities inherent in rural entrepreneurial and innovative capacities (<xref ref-type="bibr" rid="ref5">Fahmi and Savira, 2023</xref>; <xref ref-type="bibr" rid="ref47">Wang X. et al., 2023</xref>; <xref ref-type="bibr" rid="ref49">Wang R. et al., 2023</xref>). Our study advances theory by incorporating a mediation analysis that explicates the causal pathways linking digitalization with RI through the specific mechanisms of entrepreneurship and innovation. This approach not only enriches the theoretical narrative but also underscores the necessity of using more precise indicators that reflect digital technology&#x2019;s multidimensional influences.</p>
<p>Third, our findings challenge the assumption that digital technology uniformly empowers rural economies by revealing significant variations in the intermediary effects across main and non-main grain-producing areas. The nuanced interplay identified in our study between digital dimensions (infrastructure, technology level, efficiency, and services) and RI further deepens theoretical understanding by highlighting how specific digital components differentially catalyze entrepreneurial and innovative activities (<xref ref-type="bibr" rid="ref34">M&#x00FC;ller and Korsgaard, 2018</xref>; <xref ref-type="bibr" rid="ref67">Zhu et al., 2024</xref>).</p>
<p>Lastly, this research contributes to the evolving discourse on spatial spillovers in RI by empirically substantiating the critical roles played by both rural entrepreneurship and agricultural innovation as mediators influenced by digital technology. This reinforces the theoretical proposition that regional policies aimed at digital enhancement must carefully consider local entrepreneurial ecosystems and innovation capacities to effectively harness digital potential for rural revitalization (<xref ref-type="bibr" rid="ref57">Ye, 2025</xref>; <xref ref-type="bibr" rid="ref12">Hao et al., 2023</xref>).</p>
<p>Collectively, these theoretical contributions underscore the complexity and multifaceted nature of rural digitalization&#x2019;s impact, urging future research to adopt similarly nuanced analytical approaches to advance the theorization of rural economic transformations.</p>
</sec>
<sec id="sec20">
<label>5.3</label>
<title>Implications of finding</title>
<p>The integration of advanced digital technologies&#x2014;such as artificial intelligence and big data&#x2014;has increasingly permeated the agricultural sector, unlocking new avenues for rural economic transformation. In this era of digitalization, traditional production factors are undergoing a fundamental reconfiguration, with digital technologies emerging as novel and strategic inputs that reshape production relationships. This study highlights the transformative potential of digitalization in rural contexts, demonstrating how digital infrastructure and tools underpin innovative entrepreneurial activity and catalyze the development of modern rural industries.</p>
<p>First, digitalization exerts a significant and positive impact on RI, not only yielding economies of scale but also enhancing marginal returns. As enablers of modernization, digital technologies inject advanced elements into the rural economy, improving resource allocation, streamlining traditional economic structures, and fostering the emergence of new industries. Their adoption drives the evolution of business formats and models, illustrating the capacity of digital tools to reconfigure rural industrial landscapes (<xref ref-type="bibr" rid="ref9">Guo et al., 2023</xref>; <xref ref-type="bibr" rid="ref13">Hellemans et al., 2022</xref>; <xref ref-type="bibr" rid="ref21">Leng and Tong, 2022</xref>). Empirical evidence confirms that digital technologies are foundational to rural industrial development, underpinning productivity gains, economic diversification, and the creation of new industrial paradigms.</p>
<p>Second, digital technologies enhance access to information and capital, providing the infrastructure necessary to support rural entrepreneurship. This digital empowerment plays a pivotal role in attracting a new wave of rural entrepreneurs, typically comprising two groups: returnee migrant workers equipped with financial and operational experience, and highly educated individuals&#x2014;such as university graduates&#x2014;who, though less experienced, possess the adaptive capacity and technical fluency to leverage digital tools effectively.</p>
<p>Finally, the interplay between digitalization and agricultural innovation further amplifies rural industrial development. Digital technologies not only facilitate the management of agricultural information and the deployment of digital platforms but also act as catalysts for systemic innovation across the sector (<xref ref-type="bibr" rid="ref8">Ge et al., 2022</xref>; <xref ref-type="bibr" rid="ref4">Cumming et al., 2022</xref>; <xref ref-type="bibr" rid="ref37">Reza-Gharehbagh et al., 2023</xref>). These findings underscore the strategic imperative of integrating digital technologies with agricultural innovation to advance the agenda of sustainable RI.</p>
</sec>
<sec id="sec21">
<label>5.4</label>
<title>Policy recommendations</title>
<p>Drawing from the key findings of our study, we outline the following policy recommendations to optimize the integration of digital factors in rural industrial development.</p>
<p>Firstly, enhancing digital infrastructure for RI. It is crucial to bolster the digital infrastructure foundational to modern agricultural development. This involves accelerating the deployment of technologies like big data, the Internet of Things, and comprehensive information infrastructure, particularly focusing on agricultural production needs. Special attention is required to address challenges in remote areas, such as low population density and high construction costs, which hinder the widespread adoption of basic digital services like mobile internet. Policies should aim for an equitable expansion of digital technology to these areas, ensuring regional, urban&#x2013;rural, and cross-industry information interconnectivity. In addition, enhancing the capacity of cold chain logistics infrastructure is vital for reducing losses of agricultural products. Developing a robust cold chain data platform that integrates production, temperature control, and product information can provide valuable services to farmers. Such a platform would facilitate informed decision-making, helping farmers avoid misjudgments about supply and demand, ultimately leading to increased income. These recommendations are aimed at leveraging digital advancements to foster sustainable and inclusive growth within rural industries, addressing specific challenges and harnessing the potential of digital technologies for rural development.</p>
<p>Secondly, enhancing agricultural digital transformation to boost RI. Central to this initiative is the role of leading agricultural enterprises in facilitating digital integration throughout the industrial chain. By deepening the application of digital technology, consolidating digital resources, and establishing shared digital platforms, these enterprises can drive both upstream and downstream entities towards comprehensive digital adoption, thereby guiding new agricultural management entities in their digital transformation journey. The digitalization of agriculture relies heavily on advancing key technologies, including information and biotechnology. Enhancing these digital technologies is crucial for a successful agricultural transformation. This involves bolstering the agricultural science and technology innovation system, aiming to utilize digital transformation as a catalyst for improving the quality, efficiency, and dynamics of RI. The digital transformation of agriculture encompasses a wide array of factors: from elevating total factor productivity to ensuring the sustainable development of the entire ecological industry, and addressing challenges in industrial chains. Strengthening advancements in these areas will unleash new potentials and functionalities in the digital transformation process, propelling the agricultural sector towards a more efficient and sustainable future. These policy recommendations are designed to foster a digital ecosystem in agriculture that not only enhances the sector&#x2019;s productivity and sustainability but also serves as a cornerstone for the broader integration and advancement of rural industries.</p>
<p>Thirdly, advancing RI through enhanced information platforms. Strengthening digital information platforms is paramount. These platforms should be leveraged to provide real-time, accurate data on market dynamics like product prices, sales, and demand. By minimizing agricultural supply inefficiencies and facilitating timely adjustments in agricultural production, these platforms can synchronize demand and supply, refine marketing strategies, and create synergies between production, transactions, and services. The ultimate goal is to maximize the value of agricultural products and ensure a better alignment with market needs. Another critical aspect is the integration of agricultural management information systems with cutting-edge technologies. By making advanced agricultural knowledge and digital tools widely accessible to farming and management entities, we can significantly enhance the convenience and accuracy of information. This approach not only reduces operational risks but also fosters a more cohesive and integrated rural industry sector. The emphasis here is on using digital technology as a tool to bring together diverse strands of agricultural knowledge and practice, thereby streamlining processes and enhancing efficiency within the rural industrial ecosystem. These recommendations aim to harness the power of digital information platforms and integrated systems to catalyze the transformation and upgrading of the agricultural sector, positioning it as a vital component in the broader landscape of RI.</p>
<p>Fourthly, enhancing the ecosystem for rural entrepreneurship and agricultural innovation. Essential to the development of RI is the creation of a supportive environment for rural entrepreneurship. National policies should focus on providing conditions that facilitate ease of business for rural entrepreneurs. This includes support for farmers to directly manage or engage in cooperative ventures within rural industries. Encouraging local and nearby entrepreneurship among farmers can significantly broaden their income opportunities and contribute to the economic vibrancy of rural areas. In addition, innovation in agricultural products and business formats is critical for reshaping the agricultural sector. Strategies aimed at extending the agricultural value chain and introducing novel business models are pivotal. These innovations can lead to a more diversified and sustainable rural industrial landscape, enhancing the overall resilience and dynamism of rural economies. Implementing these policy measures will not only promote the integration and development of rural industries but also ensure their sustainable evolution in line with modern technological and entrepreneurial advancements.</p>
</sec>
<sec id="sec22">
<label>5.5</label>
<title>Limitations and future research</title>
<p>While the use of GMM estimation helps mitigate endogeneity concerns in the main effects, we acknowledge that mediation models may still be subject to reverse causality, particularly between RI and the mediators of rural entrepreneurship and agricultural innovation. Given the complex, potentially bidirectional relationships involved, the causal pathways identified in this study should be interpreted with caution. Future research employing panel structural equation modeling or instrumental variable strategies within the mediation framework may help further isolate these dynamic effects.</p>
</sec>
</sec>
</body>
<back>
<sec sec-type="data-availability" id="sec23">
<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="sec24">
<title>Author contributions</title>
<p>XJ: Software, Writing &#x2013; original draft, Funding acquisition, Methodology, Data curation, Conceptualization. TZ: Supervision, Conceptualization, Writing &#x2013; review &#x0026; editing, Funding acquisition, Formal analysis, Project administration.</p>
</sec>
<sec sec-type="funding-information" id="sec25">
<title>Funding</title>
<p>The author(s) declare that financial support was received for the research and/or publication of this article. This study was supported by the Anhui Philosophy and Social Sciences Planning Key Project (AHSKD2023D024), Outstanding Youth Research Project of Anhui Universities (2022AH020030), Anhui Provincial Natural Science Foundation General Project (2108085MG248), the Science Foundation of the Ministry of Education of China (21YJCZH252), the Science Foundation for the Excellent Youth Scholars of Universities in Anhui Province (2023AH030033), the Science Foundation for Postdoctoral Research Projects in Sichuan Province (TB2023088), the Philosophy and Social Science Foundation of Anhui Province (AHSKQ2021D17), the Anhui Provincial Quality Engineering Project (2023kcszsf055), and the New Era Education Quality Engineering Project (2023qyw/sysfkc018).</p>
</sec>
<sec sec-type="COI-statement" id="sec26">
<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="sec27">
<title>Generative AI statement</title>
<p>The authors 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="sec28">
<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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