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<front>
<journal-meta>
<journal-id journal-id-type="publisher-id">Front. Sustain. Food Syst.</journal-id>
<journal-title-group>
<journal-title>Frontiers in Sustainable Food Systems</journal-title>
<abbrev-journal-title abbrev-type="pubmed">Front. Sustain. Food Syst.</abbrev-journal-title>
</journal-title-group>
<issn pub-type="epub">2571-581X</issn>
<publisher>
<publisher-name>Frontiers Media S.A.</publisher-name>
</publisher>
</journal-meta>
<article-meta>
<article-id pub-id-type="doi">10.3389/fsufs.2025.1737358</article-id>
<article-version article-version-type="Version of Record" vocab="NISO-RP-8-2008"/>
<article-categories>
<subj-group subj-group-type="heading">
<subject>Original Research</subject>
</subj-group>
</article-categories>
<title-group>
<article-title>Ensuring food security: how does digital inclusive finance affect the new quality productivity of grain</article-title>
</title-group>
<contrib-group>
<contrib contrib-type="author">
<name>
<surname>Li</surname>
<given-names>Meihong</given-names>
</name>
<xref ref-type="aff" rid="aff1"><sup>1</sup></xref>
<uri xlink:href="https://loop.frontiersin.org/people/3262257"/>
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</contrib>
<contrib contrib-type="author">
<name>
<surname>Wang</surname>
<given-names>Cai</given-names>
</name>
<xref ref-type="aff" rid="aff2"><sup>2</sup></xref>
<uri xlink:href="https://loop.frontiersin.org/people/3263872"/>
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</contrib>
<contrib contrib-type="author" corresp="yes">
<name>
<surname>Wu</surname>
<given-names>Yucen</given-names>
</name>
<xref ref-type="aff" rid="aff3"><sup>3</sup></xref>
<xref ref-type="corresp" rid="c001"><sup>&#x002A;</sup></xref>
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<aff id="aff1"><label>1</label><institution>School of Accounting, Chongqing Finance and Economics College</institution>, <city>Chongqing</city>, <country country="cn">China</country></aff>
<aff id="aff2"><label>2</label><institution>Yiyang International Taxation Research Association</institution>, <city>Yiyang</city>, <country country="cn">China</country></aff>
<aff id="aff3"><label>3</label><institution>Legal Affairs Department, Chongqing General Hospital</institution>, <city>Chongqing</city>, <country country="cn">China</country></aff>
<author-notes>
<corresp id="c001"><label>&#x002A;</label>Correspondence: Yucen Wu, <email xlink:href="mailto:1156969341@qq.com">1156969341@qq.com</email></corresp>
</author-notes>
<pub-date publication-format="electronic" date-type="pub" iso-8601-date="2026-01-12">
<day>12</day>
<month>01</month>
<year>2026</year>
</pub-date>
<pub-date publication-format="electronic" date-type="collection">
<year>2025</year>
</pub-date>
<volume>9</volume>
<elocation-id>1737358</elocation-id>
<history>
<date date-type="received">
<day>01</day>
<month>11</month>
<year>2025</year>
</date>
<date date-type="rev-recd">
<day>18</day>
<month>12</month>
<year>2025</year>
</date>
<date date-type="accepted">
<day>22</day>
<month>12</month>
<year>2025</year>
</date>
</history>
<permissions>
<copyright-statement>Copyright &#x00A9; 2026 Li, Wang and Wu.</copyright-statement>
<copyright-year>2026</copyright-year>
<copyright-holder>Li, Wang and Wu</copyright-holder>
<license>
<ali:license_ref start_date="2026-01-12">https://creativecommons.org/licenses/by/4.0/</ali:license_ref>
<license-p>This is an open-access article distributed under the terms of the <ext-link ext-link-type="uri" xlink:href="https://creativecommons.org/licenses/by/4.0/">Creative Commons Attribution License (CC BY)</ext-link>. The use, distribution or reproduction in other forums is permitted, provided the original author(s) and the copyright owner(s) are credited and that the original publication in this journal is cited, in accordance with accepted academic practice. No use, distribution or reproduction is permitted which does not comply with these terms.</license-p>
</license>
</permissions>
<abstract>
<sec>
<title>Background</title>
<p>Accelerating the development of new-quality productive forces in grain is a crucial focus for ensuring effective grain supply and food security in China. Against this backdrop, the question of whether digital inclusive finance (DIF), as an emerging financial model empowered by digital technology, can effectively enhance grain new-quality productivity (Nqpg) has become an important academic and practical issue.</p>
</sec>
<sec>
<title>Methods</title>
<p>This study utilizes panel data from 31 Chinese provinces (autonomous regions and municipalities) between 2012 and 2022. It empirically examines the impact of DIF on Nqpg using a dual fixed-effects model, alongside mechanism tests and threshold effect models to analyze transmission pathways and nonlinear characteristics.</p>
</sec>
<sec>
<title>Results</title>
<p>(1) DIF significantly promotes the enhancement of Nqpg, and this conclusion remains robust after a series of robustness tests and endogeneity analyses. (2) Mechanism testing indicates that DIF enhances Nqpg primarily by elevating the level of scientific and technological innovation and promoting the intensification of agricultural production. (3) Threshold effect analysis reveals a significant nonlinear increasing effect of DIF in driving Nqpg development. (4) Heterogeneity analysis shows that the impact of DIF on Nqpg is significantly stronger in major grain-producing regions than in non-major grain-producing regions. Moreover, the positive effect of DIF on Nqpg is more pronounced in regions with lower levels of traditional financial development compared to those with higher levels.</p>
</sec>
<sec>
<title>Conclusion</title>
<p>To further leverage the developmental dividends of DIF, enhance Nqpg, and ensure national food security, it is recommended to strengthen DIF infrastructure, establish a collaborative mechanism between DIF and technological innovation, and optimize the regional development layout of DIF.</p>
</sec>
</abstract>
<kwd-group>
<kwd>DIF</kwd>
<kwd>food security</kwd>
<kwd>mediation analysis</kwd>
<kwd>new quality productivity</kwd>
<kwd>technological innovation</kwd>
</kwd-group>
<funding-group>
<funding-statement>The author(s) declared that financial support was not received for this work and/or its publication.</funding-statement>
</funding-group>
<counts>
<fig-count count="1"/>
<table-count count="9"/>
<equation-count count="3"/>
<ref-count count="56"/>
<page-count count="16"/>
<word-count count="13155"/>
</counts>
<custom-meta-group>
<custom-meta>
<meta-name>section-at-acceptance</meta-name>
<meta-value>Agricultural and Food Economics</meta-value>
</custom-meta>
</custom-meta-group>
</article-meta>
</front>
<body>
<sec sec-type="intro" id="sec1">
<label>1</label>
<title>Introduction</title>
<p>Agriculture, as the foundational industry of the national economy, makes food security the fundamental guarantee for national development. Promoting high-quality development in the grain industry is the essential path to achieving agricultural modernization and building a strong agricultural nation (<xref ref-type="bibr" rid="ref56">Zhu et al., 2021</xref>). In recent years, the Chinese government has consistently placed the &#x201C;three rural issues&#x201D; at the core of its policies. Through comprehensive measures such as increasing fiscal investment, strengthening talent support, and improving the policy system, it has driven the grain industry toward leapfrog development, achieving remarkable results. <italic>National statistical data</italic> reveals that between 2012 and 2024, China&#x2019;s total grain output grew steadily, agricultural mechanization levels rose continuously, and fertilizer application decreased annually&#x2014;reflecting a shift toward intensive and green production. However, China&#x2019;s grain production currently faces multiple challenges: tightening resource and environmental constraints, heightened uncertainties in international supply chains, and diminishing marginal returns from traditional factor-driven models. Against the backdrop of intensifying global climate change and frequent geopolitical risks, these challenges may further intensify, posing potential threats to national food security and hindering the fulfillment of the people&#x2019;s growing demand for high-quality agricultural products. Therefore, shifting grain production from an extensive growth model reliant on traditional factor inputs to an intensive development path driven by technological innovation and total factor productivity growth has become an urgent task to unlock the potential of the grain industry and solidify the foundation of national security.</p>
<p>The proposal of the concept of &#x201C;new quality productive forces&#x201D; provides crucial theoretical guidance and practical direction for addressing the aforementioned challenges. New quality productive forces are driven by the application of high and new technologies, with a substantial increase in total factor productivity as the core indicator. They emphasize achieving a qualitative leap in productivity through revolutionary technological breakthroughs, innovative allocation of production factors, and in-depth industrial transformation and upgrading (<xref ref-type="bibr" rid="ref12">Hu and Jia, 2025</xref>). In the field of grain production, fostering new quality productive forces entails promoting systemic and qualitative transformations in labor, means of production, objects of labor, and their combinations. Examples include cultivating high-quality new professional farmers, promoting the application of intelligent agricultural machinery and digital agricultural technologies, and developing green and efficient planting models, thereby realizing high-tech, high-efficiency, and high-quality development in the grain industry (<xref ref-type="bibr" rid="ref8">Fan et al., 2024</xref>). However, the formation and evolution of new quality productive forces heavily rely on sustained and efficient factor inputs and resource allocation, particularly requiring effective support from the financial system. Traditional financial services, constrained by factors such as insufficient coverage of physical branches, high costs of risk identification, and high service thresholds, exhibit significant &#x201C;financial exclusion&#x201D; in rural areas, especially within grain production. This makes it difficult to meet the substantial funding demands arising from the sector&#x2019;s scaling and technological transformation.</p>
<p>The rise of digital inclusive finance (DIF) has brought a historic opportunity to bridge this financial supply&#x2013;demand gap. Leveraging digital technologies such as mobile internet, big data, and artificial intelligence, it can reach the &#x201C;long-tail&#x201D; clients traditionally underserved by conventional finance with lower costs and greater efficiency, while enhancing service sustainability through data-driven risk control models (<xref ref-type="bibr" rid="ref14">Jia and Guo, 2024</xref>). Theoretically, DIF holds the potential to empower technological innovation, factor optimization, and organizational transformation in grain production by alleviating financing constraints, reducing transaction costs, and mitigating information asymmetry, thereby serving as a key catalyst for fostering new quality productive forces in the grain sector. However, existing academic research has not yet paid sufficient attention to this topic. Most studies focus on the macro-level measurement of new quality productive forces or their general influencing factors, or examine the broad impacts of digital finance on economic growth and urban&#x2013;rural income. Empirical research that systematically links DIF with new quality productive forces in the specific strategic industry of grain, and delves into its underlying mechanisms and boundary conditions, remains relatively scarce.</p>
<p>Given this, this paper aims to fill this research gap by systematically examining the impact effects, operational mechanisms, and heterogeneous characteristics of DIF on China&#x2019;s new-quality productive forces in agriculture from both theoretical and empirical perspectives. The specific scientific objectives of this study are as follows: First, at the theoretical level, construct an analytical framework integrating financial empowerment, technological innovation, and industrial organizational transformation to clarify the theoretical logic and transmission pathways through which DIF influences new-quality productive forces in agriculture. Second, at the empirical level, utilizing provincial-level panel data from China and employing multiple econometric models, rigorously test the direct promotional effects of DIF on new-quality agricultural productivity, its mediating mechanisms, and potential nonlinear threshold characteristics; Third, at the policy level, based on the heterogeneous empirical findings, provide scientific decision-making support for governments to formulate differentiated and targeted digital financial support policies, thereby more effectively fostering new-quality productive forces in agriculture and safeguarding national food security. This research not only deepens understanding of the specific manifestations and cultivation pathways of new productive forces in agriculture while expanding the interdisciplinary scope of digital finance and industrial development studies, but also holds significant practical reference value for reshaping rural financial ecosystems and driving the transformation and upgrading of the grain industry through digital technologies in the new development stage.</p>
</sec>
<sec id="sec2">
<label>2</label>
<title>Literature review</title>
<p>Currently, academic research on new-quality productive forces is increasingly abundant, with extensive discussions on its conceptual definition, level measurement, influencing factors, and economic effects, laying a foundation for understanding this new theoretical paradigm. However, existing studies still exhibit notable limitations, particularly in applying the concept of new-quality productive forces to specific industries (especially the grain industry) and identifying its key drivers (such as DIF), which require further in-depth and systematic exploration.</p>
<sec id="sec3">
<label>2.1</label>
<title>Core essence and theoretical development of new quality productivity</title>
<p>Academic circles widely recognize that new-quality productive forces represent an inheritance and development of traditional productive forces theory. Its core lies in taking technological innovation as the primary driving force, achieving a qualitative leap in total factor productivity through revolutionary technological breakthroughs, innovative allocation of production factors, and deep industrial transformation and upgrading. This forms an advanced productive force characterized by high technology, high efficiency, and high quality (<xref ref-type="bibr" rid="ref19">Lin et al., 2024</xref>; <xref ref-type="bibr" rid="ref4">Dai and Zheng, 2025</xref>; <xref ref-type="bibr" rid="ref37">Sun, 2024</xref>). This definition emphasizes the systemic nature of coordinated technological and factor transformation, providing a theoretical anchor for empirical research on new-quality productive forces. It is worth noting that despite the concept&#x2019;s prominence, its specific manifestations at the micro-industrial level, its evolutionary pathways, and its distinctions from classical productivity theories (such as total factor productivity, TFP) still require further theoretical clarification and integration.</p>
</sec>
<sec id="sec4">
<label>2.2</label>
<title>Evolution of measurement methods for new quality productivity</title>
<p>Regarding horizontal measurement, scholars have constructed comprehensive evaluation systems based on multiple dimensions. Mainstream approaches fall into two categories: First, establishing integrated indicator systems encompassing dimensions such as laborers, means of labor, objects of labor, and their optimized combinations (<xref ref-type="bibr" rid="ref46">Xia et al., 2025</xref>; <xref ref-type="bibr" rid="ref38">Sun and Guo, 2024</xref>); Second, approaches starting from production functions identify and measure &#x201C;new-quality&#x201D; components in input&#x2013;output, such as the contribution of digital equipment and services (<xref ref-type="bibr" rid="ref29">Qiao and Ma, 2024</xref>). In the agricultural sector, some studies have begun attempting to construct evaluation indicators for new-quality productivity in grain production (<xref ref-type="bibr" rid="ref18">Li et al., 2024</xref>; <xref ref-type="bibr" rid="ref43">Wang and Wei, 2025</xref>). However, existing measurement studies predominantly focus on national, regional, or urban scales, with specialized, refined measurement systems for the specific strategic industry of &#x201C;food&#x201D; remaining relatively scarce. Differences in indicator selection and weighting across studies limit the comparability of measurement results and reflect an insufficient capture of core characteristics of new-quality productivity in the food industry, such as biotechnology application, supply chain resilience, and green ecological value.</p>
</sec>
<sec id="sec5">
<label>2.3</label>
<title>Influencing factors of new quality productivity and the role of financial support</title>
<p>Regarding influencing factors, existing research has explored the promotional effects of the digital economy (<xref ref-type="bibr" rid="ref49">Xu and Chen, 2024</xref>; <xref ref-type="bibr" rid="ref45">Wu et al., 2024</xref>) and green finance (<xref ref-type="bibr" rid="ref27">Mao and Wang, 2024</xref>) on new-quality productive forces. As a key supporting element, the role of finance is gaining increasing attention. DIF, characterized by its inclusiveness and digital attributes, has been preliminarily demonstrated to promote new-type productive forces by expanding coverage, deepening usage, and enhancing digitalization levels. It exhibits diminishing marginal effects and regional heterogeneity (<xref ref-type="bibr" rid="ref3">Cui, 2021</xref>) while also contributing to shared prosperity between urban and rural areas by advancing new-type productive forces development (<xref ref-type="bibr" rid="ref52">Yang and Wang, 2024</xref>). These studies offer valuable insights into the relationship between finance and productivity upgrading.</p>
</sec>
<sec id="sec6">
<label>2.4</label>
<title>Research review and positioning of this paper</title>
<p>Through a systematic review of existing literature, this paper identifies the following primary limitations in current research, thereby clarifying the scope for marginal contributions in this study: (1) Research perspectives require greater focus and depth. Much literature concentrates on new productive forces at the macro or meso levels, while relatively few studies systematically examine their precise integration into the &#x201C;food&#x201D; sector&#x2014;a foundational industry vital to national economy and people&#x2019;s livelihood. Food production uniquely intertwines natural reproduction with economic reproduction. Consequently, the formation mechanisms, manifestations, and driving factors of new productive forces in this sector inevitably differ from those in industry or services, necessitating targeted theoretical analysis and empirical testing. (2) The analysis of influencing mechanisms remains superficial, particularly lacking detailed examination of key financial instruments. Although the role of DIF has garnered preliminary attention, existing research often treats it as a homogeneous entity. It fails to deeply dissect how its dual attributes of &#x201C;inclusiveness&#x201D; and &#x201C;digitalization&#x201D; overcome the &#x201C;exclusion&#x201D; phenomenon of traditional finance in specific sectors like food production&#x2014;where traditional financial services are weak and risk characteristics are pronounced&#x2014;and through which specific channels it empowers the qualitative leap in productivity. Whether DIF complements, substitutes for, or synergizes with traditional finance in promoting new-quality agricultural productivity remains under-explored, with insufficient empirical evidence and theoretical elaboration. (3) Insufficient exploration of nonlinear relationships and heterogeneous conditions. The penetration of digital technologies and the diffusion of financial services may follow nonlinear patterns, potentially involving threshold effects. Additionally, China exhibits significant regional disparities. The effectiveness of DIF may vary systematically across regions with different resource endowments, policy environments, and developmental stages. Existing research has not yet conducted comprehensive and in-depth analyses of this heterogeneity.</p>
<p>Given this, this paper aims to address the aforementioned research gaps: First, it precisely focuses the research perspective on &#x201C;new-quality productive forces in food production,&#x201D; deepening understanding of the specific forms and evolutionary patterns of new-quality productive forces within key foundational industries. Second, it not only verifies the overall impact of DIF on new-quality productivity in food production but also focuses on constructing a mediation effect model to systematically reveal its underlying mechanisms through two core pathways: &#x201C;promoting technological innovation&#x201D; and &#x201C;alleviating constraints of agricultural dispersion to drive intensification.&#x201D; Third, it comprehensively employs threshold models and panel regression methods to empirically test the nonlinear characteristics of DIF&#x2019;s impact and its heterogeneous manifestations across major grain-producing regions and areas with varying levels of traditional financial development. This provides a more robust empirical basis for formulating differentiated and targeted policies.</p>
</sec>
</sec>
<sec id="sec7">
<label>3</label>
<title>Theoretical framework, mechanism analysis, and research hypotheses</title>
<sec id="sec8">
<label>3.1</label>
<title>Theoretical framework: the theoretical origins and conceptual definition of new quality productivity</title>
<p>New quality productive forces do not emerge in a vacuum; their theoretical foundation can be traced back to the fundamental principles of dialectical interaction between productive forces and production relations in Marxist political economy. Marx pointed out that &#x201C;the productivity of labor is determined by various circumstances, including, among others, the average skill level of the workers, the level of development of science and its technological application.&#x201D; This inherently implies the revolutionary role of science and technology as permeating elements in driving the transformation of the productive forces system (<xref ref-type="bibr" rid="ref30">Rosenberg, 1974</xref>). New-quality productive forces represent the contemporary evolution of Marxist productivity theory against the backdrop of a new round of technological revolution and industrial transformation. It emphasizes an advanced state of productive forces characterized by high technology, high efficiency, and high quality, with technological innovation as the core driving force. This advancement is achieved through revolutionary technological breakthroughs, innovative allocation of production factors, and deep industrial transformation and upgrading (<xref ref-type="bibr" rid="ref4">Dai and Zheng, 2025</xref>). Unlike traditional total factor productivity (TFP), which primarily measures improvements in factor allocation efficiency under existing technological conditions, new-quality productivity focuses more on the structural and qualitative transformation of the productivity system itself, driven by disruptive technologies such as digital and biotechnologies (<xref ref-type="bibr" rid="ref21">Lipsey and Carlaw, 2004</xref>). In the realm of food production, new-quality productive forces signify not only enhanced production efficiency but also a qualitative leap in the composition of productive elements: workers transition from traditional experience-based farmers to new professional farmers equipped with digital skills and modern agricultural knowledge; means of labor evolve from conventional farm machinery and tools to digital infrastructure such as smart agricultural machinery, agricultural robots, and the Internet of Things for agriculture; and objects of labor expand beyond traditional land and seeds to include novel elements like gene-edited crops and precision agriculture data. Data, as a new key factor of production, plays a central role in catalyzing new-quality productive forces in food production through its deep integration and reconfiguration with traditional factors, such as land, labor and capital (<xref ref-type="bibr" rid="ref13">Huang et al., 2024</xref>).</p>
<p>The new growth theory provides a further microfoundation for this (<xref ref-type="bibr" rid="ref1">Aghion and Howitt, 1995</xref>). This theory endogenizes knowledge, technology, and innovation, emphasizing that knowledge spillovers, human capital accumulation, and creative destruction are the sources of sustained economic growth. DIF, as a new financial model integrating digital technology, can effectively promote knowledge creation, technology diffusion, and human capital enhancement in the agricultural sector by alleviating financing constraints and reducing information asymmetry. It thus becomes a key institutional-technological arrangement for stimulating and empowering new productive forces in food production.</p>
</sec>
<sec id="sec9">
<label>3.2</label>
<title>Theoretical mechanisms and research hypotheses on the impact of DIF on new-quality productivity in grain production</title>
<p>Based on the aforementioned theoretical framework, the impact of DIF on the new quality productive forces in agriculture transcends the simple &#x201C;lubricant&#x201D; function of traditional finance. Instead, it triggers systemic transformation by reshaping the composition and combination of production factors.</p>
<sec id="sec10">
<label>3.2.1</label>
<title>The direct impact of DIF on new-quality productivity in the grain sector</title>
<p>Traditional productivity theory views laborers, means of production, and objects of labor as the three fundamental elements constituting productivity (<xref ref-type="bibr" rid="ref32">Sayers, 2007</xref>). Against the backdrop of multiple intertwining factors&#x2014;including the accelerated advancement of the information technology revolution, significant shifts in the primary social contradictions, and profound changes in the economic development environment&#x2014;traditional productivity theory has become increasingly ill-suited to meet the demands of the new era. To provide proper guidance for practical needs under the new circumstances, the concept of new-quality productivity has emerged. While it places greater emphasis on the leading role of scientific and technological innovation, the supporting role of data elements, and the driving role of emerging industries, and also stresses the symbolic significance of total factor productivity as a marker of new-quality productivity development, its fundamental essence remains rooted in these three basic elements (<xref ref-type="bibr" rid="ref47">Xie et al., 2025</xref>). Therefore, when analyzing the direct impact of DIF on the new-quality productivity of the grain sector, the analysis should still be conducted from the three dimensions of labor force, means of production, and objects of labor.</p>
<p>First, from the perspective of labor force development, DIF promotes the development of new-quality agricultural productivity through two pathways: enhancing labor force quality and optimizing labor force structure. In terms of improving labor force quality, leveraging the inclusive nature of digital technology, DIF overcomes the geographical limitations of traditional financial services, providing financial support to rural &#x201C;long-tail groups&#x201D; (<xref ref-type="bibr" rid="ref54">Zhang and Yu, 2025</xref>). This support manifests itself in two ways: first, by providing funding for professional skill training for grain producers, enabling them to master advanced production technologies and improve grain yield and quality; second, by offering specialized educational financial products to enhance access to educational resources for rural laborers and their descendants, thereby elevating overall human capital levels and laying the foundation for cultivating new-type professional farmers (<xref ref-type="bibr" rid="ref24">Lu et al., 2022</xref>). In terms of optimizing the labor force structure, the grain production sector has long been constrained by natural conditions, market saturation, and insufficient policy support, coupled with weak rural infrastructure, leading to a single industrial structure and low production efficiency. The application of digital technology has enhanced financial institutions&#x2019; data processing capabilities, enabling them to accurately identify market demand and industrial potential. Additionally, data-driven precision services have driven the development of new industries such as rural e-commerce and leisure agriculture, extending the grain industry chain (<xref ref-type="bibr" rid="ref26">Luo and Wang, 2022</xref>). This diversification of industries has led to an expansion in the scale of labor demand and structural differentiation, thereby achieving dynamic optimization of the labor force structure and sustained improvements in production efficiency.</p>
<p>Second, from the perspective of labor resources, DIF promotes the enhancement of new-quality productive forces in the grain sector through the following three pathways: first, replacing traditional infrastructure. Compared to traditional financial institutions that rely on physical branches and manual services, which face issues such as high costs, low efficiency, and insufficient coverage, DIF leverages digital infrastructure to build online comprehensive service platforms. This not only optimizes approval processes and risk control mechanisms but also breaks through geographical constraints, significantly reducing operational costs while expanding service coverage, thereby achieving cost reduction and efficiency improvements in financial services (<xref ref-type="bibr" rid="ref5">Du et al., 2023</xref>). Second, it enhances agricultural mechanization levels. DIF utilizes cloud computing and big data technology to integrate multi-dimensional information such as farmers&#x2019; transaction records and credit histories, effectively addressing the financing challenges posed by the lack of collateral. Additionally, its online service platform provides efficient loan approval services, ensuring farmers can promptly access funds needed for agricultural machinery purchase and maintenance, thereby providing robust financial support for agricultural production (<xref ref-type="bibr" rid="ref44">Wang et al., 2023</xref>). Third, it promotes agricultural technological innovation. Given the long cycle and high risk of innovation activities, DIF alleviates information asymmetry issues, relies on multi-dimensional data to accurately assess the credit status of innovation entities, and achieves precise capital allocation. At the same time, it establishes special loans and a capital supervision mechanism to ensure the effective use of innovation funds, providing continuous and stable financial support for agricultural technological innovation (<xref ref-type="bibr" rid="ref35">Shen et al., 2024</xref>).</p>
<p>Finally, from the perspective of the labor object, DIF promotes the development of new-quality agricultural productivity through two pathways: optimizing land resource allocation and enhancing the modernization level of the industrial chain. In terms of land resource allocation, the accelerated urbanization process has intensified rural population migration, exacerbating land abandonment. However, remaining farmers are constrained by funding limitations, making it difficult to effectively advance land transfers, thereby hindering improvements in land utilization efficiency. DIF leverages big data analysis technology to provide farmers with financial support through unsecured credit financing models, effectively alleviating financing constraints in land transfers and promoting the intensive use of abandoned land, thereby laying a solid foundation of arable land resources for grain production (<xref ref-type="bibr" rid="ref34">Shen et al., 2023</xref>). In terms of industrial chain upgrading, a financial information platform built on cloud computing, big data, and the Internet of Things integrates information resources across all links of the grain industrial chain, effectively addressing information asymmetry and financial suppression issues within the agricultural industrial chain. This platform-based service model not only achieves seamless integration across grain production, processing, distribution, and sales, driving vertical expansion and value enhancement along the supply chain, but also fosters the development of agricultural leading enterprises through precise financial support, strengthens brand building and market expansion, and promotes the grain industry&#x2019;s transition toward high-quality, high-value-added development, thereby comprehensively enhancing the industry&#x2019;s market competitiveness. Based on the above theoretical analysis, the article proposes the following research hypothesis:</p>
<disp-quote>
<p><italic>H1</italic>: DIF can effectively promote the enhancement of new-quality productive capacity in grain production.</p>
</disp-quote>
</sec>
<sec id="sec11">
<label>3.2.2</label>
<title>The mechanism of DIF&#x2019;S impact on the new productivity of food production</title>
<sec id="sec12">
<label>3.2.2.1</label>
<title>Based on the mechanism of action of scientific and technological innovation</title>
<p>Enhancing the level of scientific and technological innovation is a key pathway for driving the transformation of grain production toward standardization, specialization, and intensification (<xref ref-type="bibr" rid="ref53">You and Tian, 2024</xref>). However, its development faces financing constraints due to characteristics such as high risk, long cycles, and uncertain returns. Therefore, when examining the impact mechanism of DIF on the new productive capacity of grain production, the role of scientific and technological innovation as a key intermediate variable cannot be overlooked. From the perspective of financial supply, DIF promotes technological innovation through two pathways: first, the expansion of financing channels. DIF leverages the internet and mobile devices to overcome the spatial and temporal limitations of traditional financial institutions, significantly enhancing the coverage and penetration of financial services, enabling agricultural innovation entities in remote areas to access financial services on an equal footing (<xref ref-type="bibr" rid="ref11">He, 2020</xref>); Additionally, by leveraging big data analysis technology, it can provide tailored financing solutions for agricultural innovation entities of different scales, industries, and development stages, achieving precise alignment between financial supply and innovation demand (<xref ref-type="bibr" rid="ref6">Duarte et al., 2012</xref>). Second, the effect of reduced financing costs. DIF lowers transaction costs through digitized service processes, reduces information asymmetry via intelligent risk control technology, and enhances financial institutions&#x2019; risk tolerance by establishing multi-party risk-sharing mechanisms, thereby systematically reducing financing costs for agricultural technological innovation (<xref ref-type="bibr" rid="ref40">Tang et al., 2020</xref>). From the perspective of the production function, technological innovation, as the core driving force of new productive forces, enhances grain production efficiency through factor upgrading pathways. In terms of labor factors, technological innovation fosters digital learning platforms, promoting the cross-regional dissemination of agricultural technical knowledge and the accumulation of human capital; in terms of labor tools, it drives the research, development, and application of intelligent agricultural machinery, achieving precise operations and efficiency improvements, and ensuring the sustainable use of farmland through soil improvement technological innovations; in terms of labor objects, it accelerates progress in biological breeding technology, cultivates high-quality, high-yield new varieties, and extends the grain processing industry chain to enhance product value-added. This transmission mechanism fully illustrates the intrinsic logic of &#x201C;financial support&#x2014;scientific and technological innovation&#x2014;productivity enhancement.&#x201D; Based on the above theoretical analysis, the article proposes the following research hypothesis:</p>
<disp-quote>
<p><italic>H2</italic>: DIF can further enhance the new quality of agricultural productivity by advancing technological innovation.</p>
</disp-quote>
</sec>
</sec>
<sec id="sec13">
<label>3.2.3</label>
<title>Mechanisms for alleviating constraints from agricultural fragmentation</title>
<p>The leap in new-quality productive forces relies not only on technological advancement itself but more critically on its deep integration with compatible forms of production organization (<xref ref-type="bibr" rid="ref7">Eliasson, 1996</xref>). The fragmented, small-scale traditional agricultural production model has become a structural bottleneck constraining the development of new-quality productive forces in food production due to high transaction costs, weak risk resilience, and limited technology adoption capacity (<xref ref-type="bibr" rid="ref28">Ntihinyurwa and de Vries, 2021</xref>). DIF effectively promotes agricultural intensification, establishing a critical organizational framework and scale foundation for the large-scale, efficient application of new technologies and factors. This process profoundly demonstrates the synergistic complementarity between technological progress and organizational evolution (<xref ref-type="bibr" rid="ref48">Xiong et al., 2024</xref>). Specifically, DIF drives intensification through two dimensions: At the factor level, it directly alleviates farmers&#x2019; liquidity constraints in land consolidation and fixed-asset investment by providing targeted financial products such as land transfer deposit loans, scaled-operation start-up funds, and agricultural machinery leasing. This significantly reduces land fragmentation, promotes the optimized allocation and contiguous management of arable resources, and creates the physical prerequisites for agricultural mechanization and automation (<xref ref-type="bibr" rid="ref31">Ruzzante et al., 2021</xref>). At the organizational level, it leverages innovative models such as supply chain finance, contract farming financing, and cooperative credit mutual aid to precisely empower new agricultural entities like family farms, farmer cooperatives, and leading agricultural industrialization enterprises. This not only improves their capital structure but also strengthens coordination and contractual stability across the industrial chain through embedded financial services. Essentially, this drives adaptive adjustments in agricultural production relations to align with the application of advanced agricultural technologies (<xref ref-type="bibr" rid="ref22">Liu et al., 2025</xref>). This finance-driven intensification not only significantly reduces the unit costs of smart irrigation systems, precision fertilization devices, agricultural drones, thereby enhancing the economic viability of technology adoption. Moreover, the standardized production processes and unified management systems inherent in intensive operations greatly facilitate the collection, aggregation, and analysis of data throughout the entire agricultural production process. This provides indispensable application scenarios and a structured foundation for the deep integration and value realization of data as a new factor of production, as well as for AI-based intelligent decision-making and autonomous management (<xref ref-type="bibr" rid="ref55">Zhao et al., 2023</xref>). Therefore, DIF promotes agricultural intensification by mitigating fragmentation. This not only optimizes the spatial and organizational allocation of traditional factors like land, labor, and capital but, more crucially, establishes an operational environment where technological advancement and data-driven approaches deeply integrate. Consequently, it systematically catalyzes a qualitative leap in food production efficiency, effectiveness, and quality, constituting one of the core mechanisms for developing new-quality productive forces. Based on the above theoretical analysis, this paper proposes the following research hypothesis:</p>
<disp-quote>
<p><italic>H3</italic>: DIF enhances new-quality productive forces in food production by alleviating constraints arising from agricultural fragmentation.</p>
</disp-quote>
</sec>
<sec id="sec14">
<label>3.2.4</label>
<title>The nonlinear effects of DIF on new-quality productivity in grain production</title>
<p>The preceding theoretical analysis has elucidated the linear promotional effect of DIF on new-quality productive forces in agriculture and its mediating pathways. However, the Technology Diffusion Theory (<xref ref-type="bibr" rid="ref9">Ghezzi et al., 2013</xref>) and the literature on the nonlinear effects of financial development (<xref ref-type="bibr" rid="ref2">Botev et al., 2019</xref>) indicate that the impacts of emerging technology popularization and financial deepening are not simply linear. Instead, they depend on specific initial conditions or development stages and exhibit threshold characteristics. As a new financial model highly reliant on digital technology penetration and network externalities, the enabling effect of DIF on the new-quality productive forces in the grain sector may show phased changes with the variation of its own development level, regional infrastructure conditions or the capabilities of application subjects, which means a nonlinear relationship exists. From the perspective of technology adoption and network externalities, the effectiveness of DIF services is highly dependent on the penetration rate of digital infrastructure, users&#x2019; digital literacy and the network scale of participating entities. In the initial stage of development, limited coverage of infrastructure, low user acceptance and insufficient data accumulation lead to a small service scale and weak network effects. At this stage, DIF can only address the accessibility issue of financial services shifting from non-availability to availability, exerting limited effects on the optimal allocation of productivity factors with an insignificant marginal improvement effect. Once the critical threshold is crossed, with improved infrastructure, a user base reaching the tipping point and the initial formation of a data ecosystem, network externalities will become prominent. By reducing the unit cost of services, enhancing the accuracy of risk pricing and demand matching, and attracting the agglomeration of complementary resources, a positive feedback loop will be formed (<xref ref-type="bibr" rid="ref50">Xu et al., 2025</xref>). This loop will significantly amplify the role of DIF in advancing technological innovation and promoting intensification, thereby accelerating its empowerment of the new-quality productive forces in the grain sector. From the perspective of factor matching and synergistic evolution, the upgrading of the new-quality productive forces in the grain sector is the result of the synergistic evolution of technological progress, organizational transformation and financial support (<xref ref-type="bibr" rid="ref36">Shi et al., 2025</xref>). When the level of DIF is relatively low, financial support is fragmented with low standardization, which makes it difficult to systematically support substantive technological innovation and in-depth organizational transformation. Only when DIF develops to a relatively high level, featuring customized product design, embedded service models and intelligent risk control, can it meet the high-level demands of the new-quality productive forces in the grain sector for the precise drip irrigation and systematic empowerment of financial resources, thus unlocking greater potential (<xref ref-type="bibr" rid="ref17">Li and Li, 2022</xref>). From the perspective of regional heterogeneity and absorptive capacity, differences in the traditional financial foundation, human capital stock and policy support intensity across regions constitute the absorptive capacity threshold (<xref ref-type="bibr" rid="ref20">Lin and Peng, 2025</xref>). In regions with weak traditional financial foundations, DIF can quickly fill the service gaps, resulting in obvious marginal effects in the initial stage. In contrast, regions with advanced traditional financial systems need DIF to form complementary advantages or carry out differentiated competition. This requires DIF to possess more unique digital advantages or higher integration capabilities; otherwise, its effects may not be significant. Such heterogeneity also implies a nonlinear structure of the overall impact (<xref ref-type="fig" rid="fig1">Figure 1</xref>).</p>
<fig position="float" id="fig1">
<label>Figure 1</label>
<caption>
<p>Theoretical framework diagram.</p>
</caption>
<graphic xlink:href="fsufs-09-1737358-g001.tif" mimetype="image" mime-subtype="tiff">
<alt-text content-type="machine-generated">Flowchart showing relationships between various factors. Central box labeled "Laborers," "Labor resources," and "Labor object" is surrounded by four main components: "Science and technology innovation (STI)," "New quality productivity of grain (Nqpg)," "Agricultural decentralization (AD)," and "Digital inclusive finance (DIF)." Arrows indicate enhancement or empowerment connections between these elements.</alt-text>
</graphic>
</fig>
<p>In summary, the impact of DIF on the new-quality productive forces in the grain sector is not a constant linear relationship but a threshold effect based on its own development level or external environmental conditions. Before reaching the specific threshold value, the promotion effect is moderate or limited. After crossing the threshold, the promotion effect will be significantly amplified due to the enhanced network effects, synergistic effects and absorptive capacity. Based on the above analysis, this paper proposes the following research hypothesis:</p>
<disp-quote>
<p><italic>H4</italic>: DIF exerts a nonlinear threshold effect on the new quality productive forces in agriculture.</p>
</disp-quote>
<p>Below a specific threshold, its promotional impact is limited or insignificant; once this threshold is crossed, the promotional effect significantly intensifies.</p>
</sec>
</sec>
</sec>
<sec id="sec15">
<label>4</label>
<title>Research design and data sources</title>
<sec id="sec16">
<label>4.1</label>
<title>Model settings</title>
<sec id="sec17">
<label>4.1.1</label>
<title>Basic regression model</title>
<p>In order to test the impact of digital financial inclusion on the new quality productivity of food, and at the same time taking into account the differences in geographic conditions, historical accumulation and other factors in different regions, the article adopts a double fixed effect model for parameter estimation. The constructed econometric model is as follows:</p>
<disp-formula id="E1">
<mml:math id="M1">
<mml:mi mathvariant="italic">Nqp</mml:mi>
<mml:msub>
<mml:mi>g</mml:mi>
<mml:mrow>
<mml:mi>i</mml:mi>
<mml:mo>,</mml:mo>
<mml:mi>t</mml:mi>
</mml:mrow>
</mml:msub>
<mml:mo>=</mml:mo>
<mml:msub>
<mml:mi>a</mml:mi>
<mml:mn>0</mml:mn>
</mml:msub>
<mml:mo>+</mml:mo>
<mml:msub>
<mml:mi>a</mml:mi>
<mml:mn>1</mml:mn>
</mml:msub>
<mml:mi mathvariant="italic">DI</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>a</mml:mi>
<mml:mn>2</mml:mn>
</mml:msub>
<mml:mtext mathvariant="italic">Control</mml:mtext>
<mml:msub>
<mml:mi>s</mml:mi>
<mml:mrow>
<mml:mi>i</mml:mi>
<mml:mo>,</mml:mo>
<mml:mi>t</mml:mi>
</mml:mrow>
</mml:msub>
<mml:mo>+</mml:mo>
<mml:msub>
<mml:mi>&#x03B7;</mml:mi>
<mml:mi>i</mml:mi>
</mml:msub>
<mml:mo>+</mml:mo>
<mml:msub>
<mml:mi>&#x03B4;</mml:mi>
<mml:mi>t</mml:mi>
</mml:msub>
<mml:mo>+</mml:mo>
<mml:msub>
<mml:mi>&#x03B5;</mml:mi>
<mml:mrow>
<mml:mi>i</mml:mi>
<mml:mo>,</mml:mo>
<mml:mi>t</mml:mi>
</mml:mrow>
</mml:msub>
</mml:math>
<label>(1)</label>
</disp-formula>
<p>In <xref ref-type="disp-formula" rid="E1">Equation 1</xref>, i denotes the province, t denotes the year, Nqpg<sub>i,t</sub> is the level of new food quality productivity in province i in year t, DIF is the Digital Inclusion Index, Controls is the set of control variables, &#x03B7;<sub>i</sub> is the area fixed effects, &#x03B4;<sub>t</sub> is the time fixed effects, &#x03B5;<sub>i,t</sub> is the random perturbation term, &#x03B1;<sub>0</sub> is the constant term, and &#x03B1;<sub>1</sub> and &#x03B1;<sub>2</sub> are both parameters to be estimated.</p>
</sec>
<sec id="sec18">
<label>4.1.2</label>
<title>Mechanism testing model</title>
<p>In order to test research hypotheses 2 and 3, the article, on the basis of <xref ref-type="disp-formula" rid="E1">Equation 1</xref>, empirically tests the role path and mechanism of DIF affecting the new quality productivity of food, and constructs the following mechanism testing model with reference to <xref ref-type="bibr" rid="ref15">Jiang&#x2019;s (2022)</xref> research:</p>
<disp-formula id="E2">
<mml:math id="M2">
<mml:mi mathvariant="italic">Me</mml:mi>
<mml:msub>
<mml:mi>d</mml:mi>
<mml:mrow>
<mml:mi>i</mml:mi>
<mml:mo>,</mml:mo>
<mml:mi>t</mml:mi>
</mml:mrow>
</mml:msub>
<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 mathvariant="italic">DI</mml:mi>
<mml:msub>
<mml:mi>F</mml:mi>
<mml:mrow>
<mml:mi>i</mml:mi>
<mml:mo>,</mml:mo>
<mml:mi>t</mml:mi>
</mml:mrow>
</mml:msub>
<mml:mo>+</mml:mo>
<mml:msub>
<mml:mi>&#x03B2;</mml:mi>
<mml:mn>2</mml:mn>
</mml:msub>
<mml:mtext mathvariant="italic">Control</mml:mtext>
<mml:msub>
<mml:mi>s</mml:mi>
<mml:mrow>
<mml:mi>i</mml:mi>
<mml:mo>,</mml:mo>
<mml:mi>t</mml:mi>
</mml:mrow>
</mml:msub>
<mml:mo>+</mml:mo>
<mml:msub>
<mml:mi>&#x03B7;</mml:mi>
<mml:mi>i</mml:mi>
</mml:msub>
<mml:mo>+</mml:mo>
<mml:msub>
<mml:mi>&#x03B4;</mml:mi>
<mml:mi>t</mml:mi>
</mml:msub>
<mml:mo>+</mml:mo>
<mml:msub>
<mml:mi>&#x03B5;</mml:mi>
<mml:mrow>
<mml:mi>i</mml:mi>
<mml:mo>,</mml:mo>
<mml:mi>t</mml:mi>
</mml:mrow>
</mml:msub>
</mml:math>
<label>(2)</label>
</disp-formula>
<p>In <xref ref-type="disp-formula" rid="E2">Equation 2</xref>, Medi, s is the mechanism variable, including science and technology innovation (STI) and agricultural decentralization (AD). &#x03B2;0 and &#x03B3;0 are constant terms, &#x03B2;1 is the parameter to be estimated, and the rest of the variables are defined in the same way as the baseline regression model.</p>
</sec>
<sec id="sec19">
<label>4.1.3</label>
<title>Threshold effect model</title>
<p>In order to further explore the non-linear marginal effects of digital financial inclusion affecting the new quality productivity of food, the article adopts a threshold effect model to test the non-linear relationship; the model may have single or multiple thresholds, and the article only takes a single threshold as an example here. The constructed panel threshold model is as follows:</p>
<disp-formula id="E3">
<mml:math id="M3">
<mml:mtable columnalign="left" displaystyle="true">
<mml:mtr>
<mml:mtd>
<mml:mi mathvariant="italic">Nqp</mml:mi>
<mml:msub>
<mml:mi>g</mml:mi>
<mml:mrow>
<mml:mi>i</mml:mi>
<mml:mo>,</mml:mo>
<mml:mi>t</mml:mi>
</mml:mrow>
</mml:msub>
<mml:mo>=</mml:mo>
<mml:msub>
<mml:mi>&#x03C6;</mml:mi>
<mml:mn>0</mml:mn>
</mml:msub>
<mml:mo>+</mml:mo>
<mml:msub>
<mml:mi>&#x03C6;</mml:mi>
<mml:mn>1</mml:mn>
</mml:msub>
<mml:mi mathvariant="italic">DI</mml:mi>
<mml:msub>
<mml:mi>F</mml:mi>
<mml:mrow>
<mml:mi>i</mml:mi>
<mml:mo>,</mml:mo>
<mml:mi>t</mml:mi>
</mml:mrow>
</mml:msub>
<mml:mi>I</mml:mi>
<mml:mo stretchy="true">(</mml:mo>
<mml:msub>
<mml:mi>q</mml:mi>
<mml:mi mathvariant="italic">it</mml:mi>
</mml:msub>
<mml:mo>&#x2264;</mml:mo>
<mml:mi>&#x03B7;</mml:mi>
<mml:mo stretchy="true">)</mml:mo>
<mml:mo>+</mml:mo>
<mml:msub>
<mml:mi>&#x03C6;</mml:mi>
<mml:mn>2</mml:mn>
</mml:msub>
<mml:mi mathvariant="italic">DI</mml:mi>
<mml:msub>
<mml:mi>F</mml:mi>
<mml:mrow>
<mml:mi>i</mml:mi>
<mml:mo>,</mml:mo>
<mml:mi>t</mml:mi>
</mml:mrow>
</mml:msub>
<mml:mi>I</mml:mi>
<mml:mo stretchy="true">(</mml:mo>
<mml:msub>
<mml:mi>q</mml:mi>
<mml:mrow>
<mml:mi>i</mml:mi>
<mml:mo>,</mml:mo>
<mml:mi>t</mml:mi>
</mml:mrow>
</mml:msub>
<mml:mo>&#x2264;</mml:mo>
<mml:mi>&#x03B7;</mml:mi>
<mml:mo stretchy="true">)</mml:mo>
</mml:mtd>
</mml:mtr>
<mml:mtr>
<mml:mtd>
<mml:mo>+</mml:mo>
<mml:msub>
<mml:mi>&#x03C6;</mml:mi>
<mml:mn>3</mml:mn>
</mml:msub>
<mml:mtext mathvariant="italic">Control</mml:mtext>
<mml:msub>
<mml:mi>s</mml:mi>
<mml:mrow>
<mml:mi>i</mml:mi>
<mml:mo>,</mml:mo>
<mml:mi>t</mml:mi>
</mml:mrow>
</mml:msub>
<mml:mo>+</mml:mo>
<mml:msub>
<mml:mi>&#x03B7;</mml:mi>
<mml:mi>i</mml:mi>
</mml:msub>
<mml:mo>+</mml:mo>
<mml:msub>
<mml:mi>&#x03B4;</mml:mi>
<mml:mi>t</mml:mi>
</mml:msub>
<mml:mo>+</mml:mo>
<mml:msub>
<mml:mi>&#x03B5;</mml:mi>
<mml:mrow>
<mml:mi>i</mml:mi>
<mml:mo>,</mml:mo>
<mml:mi>t</mml:mi>
</mml:mrow>
</mml:msub>
</mml:mtd>
</mml:mtr>
</mml:mtable>
</mml:math>
<label>(3)</label>
</disp-formula>
<p>In <xref ref-type="disp-formula" rid="E3">Equation 3</xref>, <italic>&#x0399;</italic>(&#x00B7;) is the schematic function, q<sub>it</sub> is the threshold variable, <italic>&#x03B7;</italic> is the threshold value, &#x03C6;<sub>1</sub> and &#x03C6;<sub>2</sub> are the coefficients to be estimated, and the rest of the variables have the same meaning as in model (1).</p>
</sec>
</sec>
<sec id="sec20">
<label>4.2</label>
<title>Selection and description of variables</title>
<sec id="sec21">
<label>4.2.1</label>
<title>Explanatory variable</title>
<p>The explanatory variable of the article is grain new-quality productivity (Nqpg). Referring to the existing studies on the construction of an indicator system to comprehensively measure the new quality productivity of food (<xref ref-type="bibr" rid="ref18">Li et al., 2024</xref>; <xref ref-type="bibr" rid="ref42">Wang and Wang, 2024</xref>), the three elements of productivity, namely, laborers, labor objects and labor materials, are used as the first-level indicators to measure the new quality productivity of food. At the same time, considering the availability and desirability of data, the article firstly measures the individual dimension of workers from the level of labour skills, efficiency and awareness; secondly, it measures the labour objects from the level of technological progress, food security, and green development; and finally, it measures the labour materials from the three aspects of infrastructure, energy consumption, and scientific and technological innovation, with reference to the relevant studies on the specific indicator system and its measurement method (<xref ref-type="bibr" rid="ref51">Yang et al., 2024</xref>; <xref ref-type="bibr" rid="ref41">Wang et al., 2025</xref>) as shown in <xref ref-type="table" rid="tab1">Table 1</xref>. In order to comprehensively examine the indicators of grain new quality productivity, the article adopts the entropy value method to measure the index of the development level of grain new quality productivity in each province (district and city).</p>
<table-wrap position="float" id="tab1">
<label>Table 1</label>
<caption>
<p>System of new quality productivity indicators for food.</p>
</caption>
<table frame="hsides" rules="groups">
<thead>
<tr>
<th align="left" valign="top">First indexes</th>
<th align="left" valign="top">Second indexes</th>
<th align="left" valign="top">Specific indexes</th>
<th align="left" valign="top">Unit</th>
<th align="center" valign="top">Weights</th>
</tr>
</thead>
<tbody>
<tr>
<td align="left" valign="middle" rowspan="6">Laborer</td>
<td align="left" valign="middle" rowspan="2">Labor skill</td>
<td align="left" valign="middle">Educational attainment of the rural population (+)</td>
<td align="left" valign="middle">Percentage</td>
<td align="char" valign="middle" char=".">0.0050</td>
</tr>
<tr>
<td align="left" valign="middle">Percentage of rural residents in tertiary education (+)</td>
<td align="left" valign="middle">Percentage</td>
<td align="char" valign="middle" char=".">0.0473</td>
</tr>
<tr>
<td align="left" valign="middle" rowspan="2">Labor efficiency</td>
<td align="left" valign="middle">Food production per capita (+)</td>
<td align="left" valign="middle">Kg</td>
<td align="char" valign="middle" char=".">0.0599</td>
</tr>
<tr>
<td align="left" valign="middle">per capita GDP (+)</td>
<td align="left" valign="middle">Yuan</td>
<td align="char" valign="middle" char=".">0.0423</td>
</tr>
<tr>
<td align="left" valign="middle" rowspan="2">Labor awareness</td>
<td align="left" valign="middle">Number of rural laborers (+)</td>
<td align="left" valign="middle">10,000 people</td>
<td align="char" valign="middle" char=".">0.0586</td>
</tr>
<tr>
<td align="left" valign="middle">Tertiary employment/total employment (+)</td>
<td align="left" valign="middle">Percentage</td>
<td align="char" valign="middle" char=".">0.0205</td>
</tr>
<tr>
<td align="left" valign="middle" rowspan="11">Target audience</td>
<td align="left" valign="middle" rowspan="4">Technological progress</td>
<td align="left" valign="middle">Integrated mechanization rate of grain cultivation (+)</td>
<td align="left" valign="middle">Percentage</td>
<td align="char" valign="middle" char=".">0.0166</td>
</tr>
<tr>
<td align="left" valign="middle">Number of national key leading enterpri-ses in agricultural industrialization (+)</td>
<td align="left" valign="middle">Items</td>
<td align="char" valign="middle" char=".">0.0294</td>
</tr>
<tr>
<td align="left" valign="middle">Total grain production/area sown with grain (+)</td>
<td align="left" valign="middle">Kg/thousand hectares</td>
<td align="char" valign="middle" char=".">0.0222</td>
</tr>
<tr>
<td align="left" valign="middle">Total sown area of crops/area of arable land (+)</td>
<td align="left" valign="middle">Percentage</td>
<td align="char" valign="middle" char=".">0.0271</td>
</tr>
<tr>
<td align="left" valign="middle" rowspan="3">Food security</td>
<td align="left" valign="middle">Total agricultural exports and imports/gr-oss agricultural output (&#x2212;)</td>
<td align="left" valign="middle">Percentage</td>
<td align="char" valign="middle" char=".">0.0037</td>
</tr>
<tr>
<td align="left" valign="middle">(current year&#x2019;s food production average of all years&#x2019; food production)/average (&#x2212;)</td>
<td align="left" valign="middle">Percentage</td>
<td align="char" valign="middle" char=".">0.0061</td>
</tr>
<tr>
<td align="left" valign="middle">Area affected by crops/area sown with crops (&#x2212;)</td>
<td align="left" valign="middle">Percentage</td>
<td align="char" valign="middle" char=".">0.0063</td>
</tr>
<tr>
<td align="left" valign="middle" rowspan="4">Green development</td>
<td align="left" valign="middle">Net use of agricultural fertilizers/total sown area of crops (&#x2212;)</td>
<td align="left" valign="middle">Tons/thousand hectares</td>
<td align="char" valign="middle" char=".">0.0109</td>
</tr>
<tr>
<td align="left" valign="middle">Pesticide application/total sown area of crops (&#x2212;)</td>
<td align="left" valign="middle">Tons/thousand hectares</td>
<td align="char" valign="middle" char=".">0.0047</td>
</tr>
<tr>
<td align="left" valign="middle">Effective irrigated area/total sown area of crops (+)</td>
<td align="left" valign="middle">percentage</td>
<td align="char" valign="middle" char=".">0.0409</td>
</tr>
<tr>
<td align="left" valign="middle">Carbon emissions per unit of sown area (&#x2212;)</td>
<td align="left" valign="middle">Tons/thousand hectares</td>
<td align="char" valign="middle" char=".">0.0132</td>
</tr>
<tr>
<td align="left" valign="middle" rowspan="7">Labor resources</td>
<td align="left" valign="middle" rowspan="3">Infrastructure</td>
<td align="left" valign="middle">Gross power of agricultural machinery (+)</td>
<td align="left" valign="middle">Kilowatt</td>
<td align="char" valign="middle" char=".">0.0662</td>
</tr>
<tr>
<td align="left" valign="middle">Average number of people served per outlet (+)</td>
<td align="left" valign="middle">10,000 people</td>
<td align="char" valign="middle" char=".">0.0453</td>
</tr>
<tr>
<td align="left" valign="middle">Number of agrometeorological observatio-n stations (+)</td>
<td align="left" valign="middle">Items</td>
<td align="char" valign="middle" char=".">0.0285</td>
</tr>
<tr>
<td align="left" valign="middle" rowspan="2">Energy consumption</td>
<td align="left" valign="middle">Rural electricity consumption / rural population (+)</td>
<td align="left" valign="middle">Billion kilowatt hours per 10,000 people</td>
<td align="char" valign="middle" char=".">0.1938</td>
</tr>
<tr>
<td align="left" valign="middle">Agricultural diesel use/gross agricultural output (&#x2212;)</td>
<td align="left" valign="middle">Tons/billion dollars</td>
<td align="char" valign="middle" char=".">0.0059</td>
</tr>
<tr>
<td align="left" valign="middle" rowspan="2">Technological innovation</td>
<td align="left" valign="middle">Internal expenditure on R&#x0026;D funding &#x00D7; (gross value of agricultural, forestry, animal husbandry and fishery output/gross regional product) (+)</td>
<td align="left" valign="middle">Percentage</td>
<td align="char" valign="middle" char=".">0.1701</td>
</tr>
<tr>
<td align="left" valign="middle">Number of patents in three types of agricultural science and technology (applicat-ions + authorizations + utilities) (+)</td>
<td align="left" valign="middle">Items</td>
<td align="char" valign="middle" char=".">0.0755</td>
</tr>
</tbody>
</table>
</table-wrap>
</sec>
<sec id="sec22">
<label>4.2.2</label>
<title>Core explanatory variables</title>
<p>The article adopts Peking University&#x2019;s DIF Index (DIF) as the core explanatory variable, which is both vertically and horizontally comparable, and can reflect the level of development of DIF in different regions at different times, with high reliability and validity. In order to standardize the scale, the article divides the DIF index by 100, which is used to characterize the final core explanatory variables.</p>
</sec>
<sec id="sec23">
<label>4.2.3</label>
<title>Mechanism variables</title>
<p>The article selects science and technology innovation (STI) and agricultural decentralization (AD) as mechanism variables. Among them, STI is measured by the ratio of internal expenditure on R&#x0026;D funding to regional GDP. This indicator is widely used to characterize the overall intensity of regional investment in science and technology innovation (<xref ref-type="bibr" rid="ref16">Lettice et al., 2012</xref>). The underlying logic is that R&#x0026;D investment serves as the source of knowledge creation and technological advancement; higher investment intensity typically signifies more active innovation activities and faster technological accumulation. In the agriculture and food industry sectors, increased overall regional R&#x0026;D investment can drive progress in areas such as agricultural biotechnology, intelligent agricultural machinery, food processing techniques, and supply chain management technologies through channels including knowledge spillovers, human capital enhancement, and industry-academia-research collaboration (<xref ref-type="bibr" rid="ref33">Sharif, 2021</xref>). Therefore, although this indicator is not exclusive to the agricultural sector, it captures the macro R&#x0026;D environment and foundational innovation capabilities that underpin technological innovation and transformation across the entire food value chain (from production to processing). It represents a key regional innovation factor driving the development of new-quality productive forces in food production.</p>
<p>Agricultural decentralization (AD) is measured by the ratio of regional per capita primary industry output to national per capita primary industry output. The rationale behind this indicator is as follows: if a region&#x2019;s per capita agricultural output is significantly below the national average, it typically indicates a more prevalent agricultural production model characterized by small-scale, fragmented operations, with relatively low land use efficiency and production concentration. Conversely, regions where per capita agricultural output approaches or exceeds the national average often exhibit higher levels of scaled-up and intensive farming practices (<xref ref-type="bibr" rid="ref10">Gomes et al., 2019</xref>). DIF can promote the optimized allocation and concentration of production factors like land by providing financing for land transfers and supporting new types of agricultural operators, thereby enhancing per capita output efficiency. Consequently, changes in this ratio can indirectly reflect the role of DIF in mitigating agricultural fragmentation and advancing intensive farming practices.</p>
</sec>
<sec id="sec24">
<label>4.2.4</label>
<title>Control variable</title>
<p>To accurately identify the net impact of DIF on new-quality agricultural productivity and control for other potential factors that may influence the results, this study selected the following set of control variables based on existing literature on agricultural productivity and financial development (<xref ref-type="bibr" rid="ref23">Lu et al., 2025</xref>; <xref ref-type="bibr" rid="ref39">Tan et al., 2025</xref>; <xref ref-type="bibr" rid="ref25">Lu et al., 2025</xref>):</p>
<list list-type="order">
<list-item>
<p>Urbanization Rate: The urbanization process profoundly impacts agricultural production patterns and efficiency by transferring rural labor, altering land use practices, and reshaping the demand structure for agricultural products. Typically, an increase in the urbanization rate may be accompanied by the diversion of arable land resources for non-agricultural purposes, but it may also promote land transfers and large-scale operations due to labor outflow. Therefore, this paper uses the ratio of the urban population to the total regional population (Urban) to control for the effects of this structural change.</p>
</list-item>
<list-item>
<p>Government Support Intensity: Government fiscal expenditures, particularly transfer payments and public investments targeting agriculture and rural areas, constitute a key exogenous factor influencing agricultural production conditions and innovation capacity. To control for the degree of government intervention, this study employs the ratio of general fiscal budget expenditures to regional GDP (Gov) as a proxy variable.</p>
</list-item>
<list-item>
<p>Level of Traditional Financial Development: The maturity of a region&#x2019;s traditional financial system may influence the scope and model of DIF. In areas with well-developed traditional finance, digital finance may primarily play a supplementary or synergistic role; whereas in regions experiencing financial repression, its &#x201C;inclusive&#x201D; value may become more pronounced. To this end, this paper introduces the ratio of financial institutions&#x2019; loan balances to regional GDP (Fin) as a measure of traditional financial deepening to examine the interactive relationship between digital and traditional finance.</p>
</list-item>
<list-item>
<p>Farmers&#x2019; Income Levels: Household income levels directly influence investment capacity, willingness to adopt technology, and risk tolerance, forming the endogenous economic foundation for agricultural modernization. This study employs log-transformed per capita disposable income (Inco) to control for this demand-side factor.</p>
</list-item>
<list-item>
<p>Industrial Structure: Regional economic structure, particularly the relationship between non-agricultural industries and agriculture, influences resource allocation across sectors, thereby affecting the opportunity costs and factor returns in agricultural production. This paper employs the ratio of tertiary industry output to secondary industry output (As) to capture the resource allocation effects and demand-pull effects that industrial upgrading may exert on the agricultural sector.</p>
</list-item>
<list-item>
<p>Degree of Openness to the Outside World: International trade influences domestic agricultural production decisions and efficiency through price transmission, technology diffusion, and competitive effects. Regions with high grain trade dependency are more vulnerable to shocks from international market price fluctuations. To control for this external market environment factor, this paper measures regional economic openness using the ratio of total goods imports and exports to regional GDP (Open).</p>
</list-item>
</list>
</sec>
</sec>
<sec id="sec25">
<label>4.3</label>
<title>Data sources and descriptive statistics</title>
<p>Based on the accessibility and validity of the data, the article selects the panel data of 31 provinces (autonomous regions and municipalities) in China (excluding China&#x2019;s Hong Kong, Macao, and Taiwan) from 2012 to 2022 as the research sample. The data used in the article mainly come from Peking University&#x2019;s DIF Index, China Statistical Yearbook, China Rural Statistical Yearbook, China Education Statistical Yearbook, public data on the official website of the National Bureau of Statistics and statistical yearbooks of provinces (autonomous regions and municipalities), and are additionally supplemented with data from the EPS and Cathay Pacific databases. Meanwhile, for a small amount of missing data, the linear interpolation method was used to calculate the complement. The descriptive statistical analysis of each variable is shown in <xref ref-type="table" rid="tab2">Table 2</xref>.</p>
<table-wrap position="float" id="tab2">
<label>Table 2</label>
<caption>
<p>Descriptive statistics.</p>
</caption>
<table frame="hsides" rules="groups">
<thead>
<tr>
<th align="left" valign="top">Variable name</th>
<th align="left" valign="top">Symbol</th>
<th align="center" valign="top">Obs</th>
<th align="center" valign="top">Mean</th>
<th align="center" valign="top">Standard</th>
<th align="center" valign="top">Min</th>
<th align="center" valign="top">Max</th>
</tr>
</thead>
<tbody>
<tr>
<td align="left" valign="top">New quality productivity for food</td>
<td align="left" valign="top">Nqpg</td>
<td align="center" valign="top">341</td>
<td align="char" valign="top" char=".">0.229</td>
<td align="char" valign="top" char=".">0.079</td>
<td align="char" valign="top" char=".">0.099</td>
<td align="char" valign="top" char=".">0.494</td>
</tr>
<tr>
<td align="left" valign="top">DIF Index</td>
<td align="left" valign="top">DIF</td>
<td align="center" valign="top">341</td>
<td align="char" valign="top" char=".">2.613</td>
<td align="char" valign="top" char=".">0.923</td>
<td align="char" valign="top" char=".">0.615</td>
<td align="char" valign="top" char=".">4.607</td>
</tr>
<tr>
<td align="left" valign="top">Population urbanization rate</td>
<td align="left" valign="top">Urban</td>
<td align="center" valign="top">341</td>
<td align="char" valign="top" char=".">0.598</td>
<td align="char" valign="top" char=".">0.127</td>
<td align="char" valign="top" char=".">0.229</td>
<td align="char" valign="top" char=".">0.896</td>
</tr>
<tr>
<td align="left" valign="top">government support</td>
<td align="left" valign="top">Gov</td>
<td align="center" valign="top">341</td>
<td align="char" valign="top" char=".">0.291</td>
<td align="char" valign="top" char=".">0.205</td>
<td align="char" valign="top" char=".">0.105</td>
<td align="char" valign="top" char=".">1.354</td>
</tr>
<tr>
<td align="left" valign="top">Level of financial development</td>
<td align="left" valign="top">Fin</td>
<td align="center" valign="top">341</td>
<td align="char" valign="top" char=".">1.520</td>
<td align="char" valign="top" char=".">0.447</td>
<td align="char" valign="top" char=".">0.701</td>
<td align="char" valign="top" char=".">2.996</td>
</tr>
<tr>
<td align="left" valign="top">Level of farmers&#x2019; income</td>
<td align="left" valign="top">Inco</td>
<td align="center" valign="top">341</td>
<td align="char" valign="top" char=".">9.493</td>
<td align="char" valign="top" char=".">0.402</td>
<td align="char" valign="top" char=".">8.503</td>
<td align="char" valign="top" char=".">10.59</td>
</tr>
<tr>
<td align="left" valign="top">Industrial structure</td>
<td align="left" valign="top">AS</td>
<td align="center" valign="top">341</td>
<td align="char" valign="top" char=".">1.392</td>
<td align="char" valign="top" char=".">0.740</td>
<td align="char" valign="top" char=".">0.611</td>
<td align="char" valign="top" char=".">5.283</td>
</tr>
<tr>
<td align="left" valign="top">Degree of openness to the outside world</td>
<td align="left" valign="top">Open</td>
<td align="center" valign="top">341</td>
<td align="char" valign="top" char=".">0.260</td>
<td align="char" valign="top" char=".">0.266</td>
<td align="char" valign="top" char=".">0.008</td>
<td align="char" valign="top" char=".">1.354</td>
</tr>
<tr>
<td align="left" valign="top">Technological innovation</td>
<td align="left" valign="top">STI</td>
<td align="center" valign="top">341</td>
<td align="char" valign="top" char=".">0.177</td>
<td align="char" valign="top" char=".">0.117</td>
<td align="char" valign="top" char=".">0.019</td>
<td align="char" valign="top" char=".">0.684</td>
</tr>
<tr>
<td align="left" valign="top">Decentralization of agriculture</td>
<td align="left" valign="top">AD</td>
<td align="center" valign="top">341</td>
<td align="char" valign="top" char=".">1.220</td>
<td align="char" valign="top" char=".">0.656</td>
<td align="char" valign="top" char=".">0.0310</td>
<td align="char" valign="top" char=".">3.263</td>
</tr>
</tbody>
</table>
</table-wrap>
</sec>
</sec>
<sec id="sec26">
<label>5</label>
<title>Empirical analysis</title>
<sec id="sec27">
<label>5.1</label>
<title>Analysis of baseline regression results</title>
<p>The first consideration of this paper is whether digital financial inclusion affects the new quality productivity of food, and in the regression model selection, the Hausman test result of 0.0000 shows that it is more appropriate to use the fixed effect model, so the article mainly focuses on the fixed effect regression analysis. <xref ref-type="table" rid="tab3">Table 3</xref> demonstrates the effect of digital financial inclusion on new quality productivity of food. The estimation results show that the coefficients of the core explanatory variables are significantly positive at least at the 10% level regardless of whether the relevant control variables are added or not, indicating that the development of DIF is favorable to the improvement of the level of new quality productivity of food. Column (2) presents the estimation results after adding economic variables related to new food quality productivity, and finds that the coefficient of the impact of digital financial inclusion on new food quality productivity is 0.0646 after controlling for the relevant variables, and it significantly enhances new food quality productivity at the 1% level, which means that each unit of increase in digital financial inclusion can contribute to the enhancement of new food quality productivity, while keeping other variables unchanged productivity by 0.0646&#x202F;units. Therefore, the research hypothesis 1 of the article is proved.</p>
<table-wrap position="float" id="tab3">
<label>Table 3</label>
<caption>
<p>Benchmark regression results.</p>
</caption>
<table frame="hsides" rules="groups">
<thead>
<tr>
<th align="left" valign="top" rowspan="2">Variant</th>
<th align="center" valign="top">(1)</th>
<th align="center" valign="top">(2)</th>
</tr>
<tr>
<th align="center" valign="top">Nqpg</th>
<th align="center" valign="top">Nqpg</th>
</tr>
</thead>
<tbody>
<tr>
<td align="left" valign="middle">DIF</td>
<td align="center" valign="top">0.0548&#x002A; (0.0290)</td>
<td align="center" valign="top">0.0646&#x002A;&#x002A;&#x002A; (0.0227)</td>
</tr>
<tr>
<td align="left" valign="middle">Urban</td>
<td/>
<td align="center" valign="top">0.3188&#x002A; (0.1856)</td>
</tr>
<tr>
<td align="left" valign="middle">Gov</td>
<td/>
<td align="center" valign="top">0.1577&#x002A;&#x002A;&#x002A; (0.0449)</td>
</tr>
<tr>
<td align="left" valign="middle">Fin</td>
<td/>
<td align="center" valign="top">&#x2212;0.0328&#x002A;&#x002A;&#x002A; (0.0073)</td>
</tr>
<tr>
<td align="left" valign="middle">Inco</td>
<td/>
<td align="center" valign="top">0.0049 (0.0589)</td>
</tr>
<tr>
<td align="left" valign="middle">As</td>
<td/>
<td align="center" valign="top">&#x2212;0.0147 (0.0091)</td>
</tr>
<tr>
<td align="left" valign="middle">Open</td>
<td/>
<td align="center" valign="top">&#x2212;0.1197&#x002A;&#x002A;&#x002A; (0.0318)</td>
</tr>
<tr>
<td align="left" valign="middle">fixed time</td>
<td align="center" valign="middle">Yes</td>
<td align="center" valign="middle">Yes</td>
</tr>
<tr>
<td align="left" valign="middle">Province fixed</td>
<td align="center" valign="middle">Yes</td>
<td align="center" valign="middle">Yes</td>
</tr>
<tr>
<td align="left" valign="middle">_cons</td>
<td align="center" valign="top">0.0861 (0.0755)</td>
<td align="center" valign="top">&#x2212;0.1213 (0.4990)</td>
</tr>
<tr>
<td align="left" valign="middle">N</td>
<td align="center" valign="middle">341</td>
<td align="center" valign="middle">341</td>
</tr>
<tr>
<td align="left" valign="middle"><italic>R</italic>
<sup>2</sup>
</td>
<td align="center" valign="middle">0.9401</td>
<td align="center" valign="middle">0.9474</td>
</tr>
</tbody>
</table>
<table-wrap-foot>
<p>&#x002A;&#x002A;&#x002A;, and &#x002A; respectively indicate significance at the 1% and 10% levels; robust standard errors in parentheses.</p>
</table-wrap-foot>
</table-wrap>
</sec>
<sec id="sec28">
<label>5.2</label>
<title>Robustness tests and endogeneity treatment</title>
<sec id="sec29">
<label>5.2.1</label>
<title>Replace the dependent variable</title>
<p>This paper employs factor analysis to recalibrate the weights of the new-quality grain productivity index, measuring the comprehensive scores of new-quality grain productivity (denoted as Nqpg_f) for each province (autonomous region, municipality) over the years. This adjusted score is then reintroduced as the explanatory variable into the regression model for parameter estimation. The regression results are presented in Column (1) of <xref ref-type="table" rid="tab4">Table 4</xref>. Based on the results in the table, it can be observed that DIF consistently exerts a positive influence on new-quality grain productivity, passing the 1% significance level test. Therefore, the test results after replacing the core explanatory variable support the research conclusions drawn from the baseline regression analysis presented earlier.</p>
<table-wrap position="float" id="tab4">
<label>Table 4</label>
<caption>
<p>Robustness test results.</p>
</caption>
<table frame="hsides" rules="groups">
<thead>
<tr>
<th align="left" valign="top" rowspan="2">Variant</th>
<th align="center" valign="top">(1)</th>
<th align="center" valign="top">(2)</th>
<th align="center" valign="top">(3)</th>
<th align="center" valign="top">(4)</th>
<th align="center" valign="top">(5)</th>
</tr>
<tr>
<th align="center" valign="top">Nqpg_f</th>
<th align="center" valign="top">Nqpg</th>
<th align="center" valign="top">Nqpg</th>
<th align="center" valign="top">DIF</th>
<th align="center" valign="top">Nqpg</th>
</tr>
</thead>
<tbody>
<tr>
<td align="left" valign="middle">DIF</td>
<td align="center" valign="top">0.2797&#x002A;&#x002A;&#x002A; (0.0678)</td>
<td align="center" valign="top">0.0785&#x002A;&#x002A;&#x002A; (0.0242)</td>
<td align="center" valign="top">0.0646&#x002A;&#x002A;&#x002A; (0.0157)</td>
<td/>
<td align="center" valign="middle">0.2955&#x002A;&#x002A;&#x002A; (0.0505)</td>
</tr>
<tr>
<td align="left" valign="middle">Tele</td>
<td/>
<td/>
<td/>
<td align="center" valign="middle">0.4507&#x002A;&#x002A;&#x002A; (0.0578)</td>
<td/>
</tr>
<tr>
<td align="left" valign="middle">Control variable</td>
<td align="center" valign="middle">Yes</td>
<td align="center" valign="middle">Yes</td>
<td align="center" valign="middle">Yes</td>
<td align="center" valign="middle">Yes</td>
<td align="center" valign="middle">Yes</td>
</tr>
<tr>
<td align="left" valign="middle">fixed time</td>
<td align="center" valign="middle">Yes</td>
<td align="center" valign="middle">Yes</td>
<td align="center" valign="middle">Yes</td>
<td align="center" valign="middle">Yes</td>
<td align="center" valign="middle">Yes</td>
</tr>
<tr>
<td align="left" valign="middle">Province fixed</td>
<td align="center" valign="middle">Yes</td>
<td align="center" valign="middle">Yes</td>
<td align="center" valign="middle">Yes</td>
<td align="center" valign="middle">Yes</td>
<td align="center" valign="middle">Yes</td>
</tr>
<tr>
<td align="left" valign="middle">_cons</td>
<td align="center" valign="top">&#x2212;12.1203&#x002A;&#x002A;&#x002A; (2.9418)</td>
<td align="center" valign="top">&#x2212;1.2743&#x002A; (0.6091)&#x002A;</td>
<td align="center" valign="top">&#x2212;0.0019&#x002A;&#x002A; (0.4607)</td>
<td align="center" valign="middle">&#x2212;4.7505&#x002A;&#x002A; (2.0771)</td>
<td align="center" valign="middle">0.6054 (0.6577)</td>
</tr>
<tr>
<td align="left" valign="middle" colspan="4">Kleibergen-Paap rk LM statistic</td>
<td align="center" valign="middle" colspan="2">50.93&#x002A;&#x002A;&#x002A;</td>
</tr>
<tr>
<td align="left" valign="middle" colspan="4">Kleibergen-Paap Wald rk F statistic</td>
<td align="center" valign="middle" colspan="2">60.84{16.38}</td>
</tr>
<tr>
<td align="left" valign="middle" colspan="4">Cragg-Donald Wald F statistic</td>
<td align="center" valign="middle" colspan="2">65.09{16.38}</td>
</tr>
<tr>
<td align="left" valign="middle">N</td>
<td align="center" valign="middle">340</td>
<td align="center" valign="middle">341</td>
<td align="center" valign="middle">341</td>
<td align="center" valign="middle">341</td>
<td align="center" valign="middle">341</td>
</tr>
<tr>
<td align="left" valign="middle">R<sup>2</sup></td>
<td align="center" valign="top">0.9711</td>
<td align="center" valign="top">0.9510</td>
<td/>
<td align="center" valign="middle">0.9962</td>
<td align="center" valign="middle">0.9141</td>
</tr>
</tbody>
</table>
<table-wrap-foot>
<p>&#x002A;&#x002A;&#x002A;, &#x002A;&#x002A;, and &#x002A; indicate significant at the 1%, 5%, and 10% levels, respectively; robust standard errors in parentheses.</p>
</table-wrap-foot>
</table-wrap>
</sec>
<sec id="sec30">
<label>5.2.2</label>
<title>Truncation treatment</title>
<p>To mitigate potential impacts of extreme values on estimation results, parameter estimation was repeated after applying 1% forward and backward truncation to all variables. As shown in Column (2) of <xref ref-type="table" rid="tab4">Table 4</xref>, the impact of DIF on new-quality agricultural productivity still passed the 1% significance level test, indicating the robustness of the research conclusions.</p>
</sec>
<sec id="sec31">
<label>5.2.3</label>
<title>Replacement of the estimation model</title>
<p>Due to the truncation feature of the index of the level of new quality productivity of food measured using the entropy method, in order to overcome the possible estimation bias, the article chooses the Tobit model to re-run the regression analysis. The regression results in column (3) of <xref ref-type="table" rid="tab4">Table 4</xref> show that the promotion effect of digital financial inclusion on new quality productivity of food is still significant at the 1% significance level, a result that is consistent with the baseline regression conclusions and further validates the robustness of the study&#x2019;s conclusions.</p>
</sec>
<sec id="sec32">
<label>5.2.4</label>
<title>Endogenous mitigation</title>
<p>Although the article has controlled for relevant economic variables as well as constructed a two-way fixed effects model for regression analysis as much as possible to avoid biased estimates due to omission of important variables, there may be a causal relationship between DIF and Nqpg, which may lead to endogeneity problems. Therefore, the article selects the cross-multiplier term (Tele) of the number of national fixed-line telephones in 2000 and the number of national Internet users in the previous year as the instrumental variable, and uses the two-stage least squares (2SLS) method for parameter estimation. The instrumental variables are chosen because, on the one hand, the penetration of fixed telephones and the size of Internet users can reflect the level of regional informatization infrastructure, which is correlated with the development of digital financial inclusion and satisfies the correlation condition of instrumental variables; on the other hand, the historical data of the number of fixed telephones and the number of Internet users serve as exogenous variables, which are not subject to the inverse influence of the current period&#x2019;s development of digital financial inclusion and are difficult to influence the explanatory variables directly through other channels to directly affect the explanatory variables, satisfying the exclusivity constraint condition. Meanwhile, considering that the number of year-end landline telephone subscribers in 2000 is cross-sectional data, which cannot be directly applied to the endogeneity test of the panel model, the article conducts the endogeneity test by constructing its interaction term with the number of national Internet subscribers in the previous year as an instrumental variable. The results are shown in column (4) and column (5) of <xref ref-type="table" rid="tab4">Table 4</xref>. The digital financial inclusion index after considering the endogeneity issue still passes the 1% significance level test, further validating the robustness of the research findings.</p>
</sec>
</sec>
<sec id="sec33">
<label>5.3</label>
<title>Mechanism test analysis</title>
<p>To further explore the impact mechanism of DIF development on the new quality productive forces in agriculture, based on the theoretical analysis and research hypotheses presented earlier in this paper, we examined the mechanism of action at two levels: technological innovation and agricultural production intensification. The results are shown in <xref ref-type="table" rid="tab5">Table 5</xref>.</p>
<table-wrap position="float" id="tab5">
<label>Table 5</label>
<caption>
<p>Mechanism test results.</p>
</caption>
<table frame="hsides" rules="groups">
<thead>
<tr>
<th align="left" valign="top" rowspan="2">Variant</th>
<th align="center" valign="top">(1)</th>
<th align="center" valign="top">(2)</th>
<th align="center" valign="top">(3)</th>
<th align="center" valign="top">(4)</th>
</tr>
<tr>
<th align="center" valign="top">STI</th>
<th align="center" valign="top">Nqpg</th>
<th align="center" valign="top">AD</th>
<th align="center" valign="top">Nqpg</th>
</tr>
</thead>
<tbody>
<tr>
<td align="left" valign="middle">DIF</td>
<td align="center" valign="middle">0.1236&#x002A;&#x002A;&#x002A; (0.0133)</td>
<td/>
<td align="center" valign="middle">&#x2212;0.5722&#x002A;&#x002A;&#x002A; (0.1042)</td>
<td/>
</tr>
<tr>
<td align="left" valign="middle">STI</td>
<td/>
<td align="center" valign="middle">0.1784&#x002A;&#x002A;&#x002A; (0.0684)</td>
<td/>
<td/>
</tr>
<tr>
<td align="left" valign="middle">AD</td>
<td/>
<td/>
<td/>
<td align="center" valign="middle">&#x2212;0.0234&#x002A;&#x002A;&#x002A; (0.0072)</td>
</tr>
<tr>
<td align="left" valign="middle">Control variable</td>
<td align="center" valign="middle">Yes</td>
<td align="center" valign="middle">Yes</td>
<td align="center" valign="middle">Yes</td>
<td align="center" valign="middle">Yes</td>
</tr>
<tr>
<td align="left" valign="middle">Fixed time</td>
<td align="center" valign="middle">Yes</td>
<td align="center" valign="middle">Yes</td>
<td align="center" valign="middle">Yes</td>
<td align="center" valign="middle">Yes</td>
</tr>
<tr>
<td align="left" valign="middle">Province fixed</td>
<td align="center" valign="middle">Yes</td>
<td align="center" valign="middle">Yes</td>
<td align="center" valign="middle">Yes</td>
<td align="center" valign="middle">Yes</td>
</tr>
<tr>
<td align="left" valign="middle">_cons</td>
<td align="center" valign="middle">&#x2212;1.8897&#x002A;&#x002A;&#x002A; (0.6840)</td>
<td align="center" valign="middle">0.1454 (0.4979)</td>
<td align="center" valign="middle">3.4904&#x002A;&#x002A; (1.5714)</td>
<td align="center" valign="middle">&#x2212;0.1245 (0.5516)</td>
</tr>
<tr>
<td align="left" valign="middle"><italic>N</italic></td>
<td align="center" valign="middle">341</td>
<td align="center" valign="middle">341</td>
<td align="center" valign="middle">341</td>
<td align="center" valign="middle">341</td>
</tr>
<tr>
<td align="left" valign="middle"><italic>R</italic>
<sup>2</sup>
</td>
<td align="center" valign="middle">0.9804</td>
<td align="center" valign="middle">0.9465</td>
<td align="center" valign="middle">0.9837</td>
<td align="center" valign="middle">0.9455</td>
</tr>
</tbody>
</table>
<table-wrap-foot>
<p>&#x002A;&#x002A;&#x002A; and &#x002A;&#x002A; respectively indicate significance at the 1% and 5% levels robust standard errors in parentheses.</p>
</table-wrap-foot>
</table-wrap>
<p>The results in columns (1) and (2) of <xref ref-type="table" rid="tab5">Table 5</xref> show that the development of DIF can indeed promote scientific and technological innovation by broadening financing channels and lowering innovation costs, while scientific and technological innovation has a significant positive impact on the new quality productivity of food, which confirms the strategic assertion that &#x201C;science and technology is the first productive force&#x201D; and is in line with the policy orientation of strengthening the support of agricultural science and technology as stated in the &#x201C;14th Five-Year Plan for Promoting Modernization of Agriculture and Rural Areas&#x201D; of China. This confirms the strategic assertion that &#x201C;science and technology is the first productive force,&#x201D; which is in line with the policy direction of strengthening agricultural science and technology support in China&#x2019;s &#x201C;14th Five-Year Plan for Promoting Modernization of Agriculture and Rural Areas.&#x201D; According to the regression results in column (3), the estimated coefficient of the variable of DIF is significantly negative at the 1% level, indicating that the development of DIF inhibits agricultural decentralization to a certain extent, which may stem from the fact that DIF, with the help of the Internet, big data, and other technologies, promotes large-scale operation in agriculture through the optimization of resource allocation, thus reducing the degree of agricultural decentralization. Column (4) reports a certain negative impact of agricultural decentralization on the improvement of new food quality productivity. Such results profoundly reflect the contradiction between China&#x2019;s smallholder production model and the efficiency of modern agriculture, in which the fragmentation of land and the small scale of operation have led to the widespread diffusion of advanced agricultural technologies, which is contrary to the standardized and process-oriented production emphasized by the new quality productivity. It also indicates the need to integrate fragmented arable land and cultivate new agricultural management main body through digital technology, so as to break through the constraints of production relations on advanced productivity and realize the high-quality development of food industry. Therefore, the article research hypothesis 2 and hypothesis 3 are proved.</p>
</sec>
<sec id="sec34">
<label>5.4</label>
<title>Analysis of threshold effects</title>
<p>The above analysis focuses on the linear impact of digital financial inclusion on the new quality of food productivity. However, the economic paradigm of digital technology is inherently characterized by non-linear evolution, and its development often follows the law of &#x201C;tipping points.&#x201D; Specifically, in the early stage of the development of DIF, due to the imperfect infrastructure, farmers&#x2019; digital literacy and other constraints, its role in promoting food production may be relatively limited; only when the penetration rate of digital technology reaches a specific threshold, its scale effect, network externalities and technological spillover effects will be fully realized. Therefore, the article takes digital financial inclusion as the core threshold variable, and applies the panel threshold regression model to examine in depth the effect of digital financial inclusion on new quality productivity of food under different development stages. Using Bootstrap method to repeat the sampling 300 times, the results in <xref ref-type="table" rid="tab6">Table 6</xref> show that the effect of DIF on new quality productivity of food only has a single-threshold effect, and it is significant at the 1% statistical level. Therefore, a single threshold test model should be constructed to analyze the threshold effect.</p>
<table-wrap position="float" id="tab6">
<label>Table 6</label>
<caption>
<p>Threshold effect test results.</p>
</caption>
<table frame="hsides" rules="groups">
<thead>
<tr>
<th align="left" valign="top">Threshold variables</th>
<th align="left" valign="top">Threshold number</th>
<th align="center" valign="top">F</th>
<th align="center" valign="top">
<italic>p</italic>
</th>
</tr>
</thead>
<tbody>
<tr>
<td align="left" valign="middle" rowspan="2">DIF</td>
<td align="left" valign="middle">single threshold</td>
<td align="char" valign="middle" char=".">46.12&#x002A;&#x002A;&#x002A;</td>
<td align="char" valign="middle" char=".">0.0000</td>
</tr>
<tr>
<td align="left" valign="middle">double threshold</td>
<td align="char" valign="middle" char=".">11.47</td>
<td align="char" valign="middle" char=".">0.1233</td>
</tr>
</tbody>
</table>
<table-wrap-foot>
<p>&#x002A;&#x002A;&#x002A; indicate significant at the 1% levels, robust standard errors in parentheses.</p>
</table-wrap-foot>
</table-wrap>
<p><xref ref-type="table" rid="tab7">Table 7</xref> reports the single-threshold regression results for the impact of DIF on new-quality agricultural productivity. The effect of DIF on new-quality agricultural productivity exhibits phased differences based on varying levels of DIF. When the level of DIF falls below the threshold value of 3.3192, its estimated coefficient is 0.0102 and statistically insignificant. Upon crossing the threshold of 3.3192, the coefficient of DIF&#x2019;s impact on new-quality agricultural productivity increases to 0.0171 and passes the 10% significance level test. This result indicates that the impact of DIF on new-quality agricultural productivity exhibits increasing marginal effects. Specifically, DIF demonstrates a pronounced threshold effect in driving the development of new-quality agricultural productivity, meaning its positive influence on grain production can only be fully realized once its development reaches a certain level. The economic significance of this nonlinear increasing effect lies in the fact that during the early stages of DIF development, its limited coverage, low user penetration, and insufficient data accumulation have yet to generate significant network effects and economies of scale. Consequently, its marginal contribution to enhancing new-quality agricultural productivity remains weak. Once DIF crosses a critical threshold (corresponding to an index value of 3.3192), it signifies that digital infrastructure is largely established, farmer adoption rates have significantly increased, and financial service scenarios are deeply integrated with agricultural production and management. At this stage, DIF not only reduces unit service costs through economies of scale but also enhances agricultural technology diffusion and knowledge spillovers via cross-regional and cross-entity data connectivity and information sharing. This facilitates the optimization and restructuring of production factors alongside collaborative innovation, thereby fully unleashing its potential to empower new-quality agricultural productivity. Moreover, high digital financial penetration helps establish a virtuous cycle where &#x201C;data drives credit&#x2014;credit facilitates financing&#x2014;financing supports innovation,&#x201D; further amplifying its role in driving qualitative and efficiency transformations within the grain industry.</p>
<table-wrap position="float" id="tab7">
<label>Table 7</label>
<caption>
<p>Threshold effect regression results.</p>
</caption>
<table frame="hsides" rules="groups">
<thead>
<tr>
<th align="left" valign="top">Threshold variables</th>
<th align="center" valign="top">Nqpg</th>
</tr>
</thead>
<tbody>
<tr>
<td align="left" valign="middle">(DIF) DIF&#x202F;&#x2264;&#x202F;3.3192</td>
<td align="center" valign="middle">0.0102 (0.0092)</td>
</tr>
<tr>
<td align="left" valign="middle">(DIF) DIF&#x003E;3.3192</td>
<td align="center" valign="middle">0.0171&#x002A; (0.0096)</td>
</tr>
<tr>
<td align="left" valign="middle">Control variable</td>
<td align="center" valign="middle">Yes</td>
</tr>
<tr>
<td align="left" valign="middle">_cons</td>
<td align="center" valign="middle">0.3552 (0.3064)</td>
</tr>
<tr>
<td align="left" valign="middle"><italic>N</italic></td>
<td align="center" valign="middle">341</td>
</tr>
<tr>
<td align="left" valign="middle"><italic>R</italic><sup>2</sup></td>
<td align="center" valign="middle">0.5381</td>
</tr>
</tbody>
</table>
<table-wrap-foot>
<p>&#x002A; indicate significant at the 10% level, robust standard errors in parentheses.</p>
</table-wrap-foot>
</table-wrap>
</sec>
<sec id="sec35">
<label>5.5</label>
<title>Heterogeneity analysis</title>
<sec id="sec36">
<label>5.5.1</label>
<title>Heterogeneity based on the division of major food producing areas</title>
<p>Due to the significant spatial heterogeneity among Chinese regions in terms of resource endowment, technological innovation capacity, and policy environment, the development process of DIF and its policy effects may show obvious regional differences. In order to examine this heterogeneous feature in depth, the article divides the sample into two sub-samples of main grain-producing areas and non-main grain-producing areas based on the regional division of labor pattern of grain production and conducts regression analyses separately in order to reveal the regionally differentiated performance of the impact of digital financial inclusion on the productivity of new grain quality. According to the results in <xref ref-type="table" rid="tab8">Table 8</xref>, the promotion effect of DIF on new quality productivity of food exhibits statistical significance in both main grain producing areas and non-main grain producing areas, but there is obvious regional heterogeneity in the intensity of its impact. Specifically, the marginal effect is significantly higher in main food-producing regions than in non-main food-producing regions. This difference may be due to the fact that, first, food-producing regions usually have better agricultural infrastructure and large-scale production conditions, which enable digital financial tools to be more effectively embedded in the whole process of agricultural production. In contrast, the decentralized business model in non-food-producing regions may limit the depth of penetration and breadth of application of digital financial inclusion to some extent. Second, major food-producing regions tend to have a more mature agricultural industrialization system, including a complete industrial chain and stable market channels. This industrial ecology creates favorable conditions for the in-depth integration of digital financial services and agricultural production factors, thus more fully releasing its productivity-enhancing effects. In addition, regional differences in policy support are also important influencing factors. The main food-producing regions usually enjoy greater financial subsidies and financial policy tilts, and this institutional environment creates policy synergies with DIF, further amplifying its role in promoting new food productivity.</p>
<table-wrap position="float" id="tab8">
<label>Table 8</label>
<caption>
<p>Results of the heterogeneity test based on the division of the main grain producing areas.</p>
</caption>
<table frame="hsides" rules="groups">
<thead>
<tr>
<th align="left" valign="top" rowspan="2">Variant</th>
<th align="center" valign="top">(1)</th>
<th align="center" valign="top">(2)</th>
</tr>
<tr>
<th align="center" valign="top">Nqpg major agricultural region</th>
<th align="center" valign="top">Nqpg Non-food-producing regions</th>
</tr>
</thead>
<tbody>
<tr>
<td align="left" valign="middle">DIF</td>
<td align="center" valign="top">0.0807&#x002A;&#x002A;&#x002A; (0.0197)</td>
<td align="center" valign="top">0.0702&#x002A; (0.0410)</td>
</tr>
<tr>
<td align="left" valign="middle">Control variable</td>
<td align="center" valign="middle">Yes</td>
<td align="center" valign="middle">Yes</td>
</tr>
<tr>
<td align="left" valign="middle">fixed time</td>
<td align="center" valign="middle">Yes</td>
<td align="center" valign="middle">Yes</td>
</tr>
<tr>
<td align="left" valign="middle">Province fixed</td>
<td align="center" valign="middle">Yes</td>
<td align="center" valign="middle">Yes</td>
</tr>
<tr>
<td align="left" valign="middle">_cons</td>
<td align="center" valign="top">&#x2212;0.7863 (0.7192)</td>
<td align="center" valign="top">&#x2212;0.3323 (0.6299)</td>
</tr>
<tr>
<td align="left" valign="middle"><italic>N</italic></td>
<td align="center" valign="middle">143</td>
<td align="center" valign="middle">198</td>
</tr>
<tr>
<td align="left" valign="middle"><italic>R</italic>
<sup>2</sup>
</td>
<td align="center" valign="top">0.9763</td>
<td align="center" valign="top">0.9092</td>
</tr>
</tbody>
</table>
<table-wrap-foot>
<p>&#x002A;&#x002A;&#x002A; and &#x002A; respectively indicate significance at the 1% and 10% levels, robust standard errors in parentheses.</p>
</table-wrap-foot>
</table-wrap>
</sec>
<sec id="sec37">
<label>5.5.2</label>
<title>Heterogeneity based on traditional financial level segmentation</title>
<p>Considering that the level of traditional financial development can often effectively measure the degree of regional financial deepening, reflecting the maturity of traditional financial services to the real economy, and providing benchmarks for further analyzing the &#x201C;complementary effect&#x201D; or &#x201C;substitution effect&#x201D; of digital financial inclusion, identifying the optimal synergy boundary between digital finance and traditional finance. It provides a benchmark for further analyzing the &#x201C;complementary effect&#x201D; or &#x201C;substitution effect&#x201D; of DIF, and identifies the optimal synergy boundary between digital and traditional finance. Therefore, the article adopts the ratio of the loan balance of financial institutions to GDP to measure the development level of traditional finance in each region. Regions with traditional finance development level higher than its median are categorized into one group, and those lower than its median are categorized into another group, and group regression analysis is carried out. The results in <xref ref-type="table" rid="tab9">Table 9</xref> show that in regions with high levels of traditional finance, DIF has a dampening effect on the new quality productivity of food, but its estimated coefficient is not statistically significant, whereas in regions with less developed levels of traditional finance, it shows a significant boosting effect and passes the test of 1% significance level. The reason for this phenomenon may lie in the fact that the developed traditional financial regions have formed a perfect credit service system, and the intervention of DIF may lead to the duplication of financial resources and the crowding out effect. When the target groups of the two types of financial services are highly overlapping, it exacerbates excessive competition among financial institutions and reduces the efficiency of resource allocation. On the contrary, in regions with a low level of traditional financial development, due to the lack of traditional services, DIF can break through the geographical limitations, directly fill the service vacuum, more accurately meet the financing needs of marginalized groups, and open up the &#x201C;last kilometer&#x201D; of digital financial services.</p>
<table-wrap position="float" id="tab9">
<label>Table 9</label>
<caption>
<p>Heterogeneity test results based on traditional financial level segmentation.</p>
</caption>
<table frame="hsides" rules="groups">
<thead>
<tr>
<th align="left" valign="top" rowspan="2">Variant</th>
<th align="center" valign="top">(1)</th>
<th align="center" valign="top">(2)</th>
</tr>
<tr>
<th align="center" valign="top">Nqpg Higher level of traditional finance</th>
<th align="center" valign="top">Nqpg Low level of traditional finance</th>
</tr>
</thead>
<tbody>
<tr>
<td align="left" valign="middle">DIF</td>
<td align="center" valign="top">&#x2212;0.0053 (0.0404)</td>
<td align="center" valign="top">0.0731&#x002A;&#x002A;&#x002A; (0.0186)</td>
</tr>
<tr>
<td align="left" valign="middle">Control variable</td>
<td align="center" valign="middle">Yes</td>
<td align="center" valign="middle">Yes</td>
</tr>
<tr>
<td align="left" valign="middle">fixed time</td>
<td align="center" valign="middle">Yes</td>
<td align="center" valign="middle">Yes</td>
</tr>
<tr>
<td align="left" valign="middle">Province fixed</td>
<td align="center" valign="middle">Yes</td>
<td align="center" valign="middle">Yes</td>
</tr>
<tr>
<td align="left" valign="middle">_cons</td>
<td align="center" valign="top">&#x2212;0.5741 (0.6089)</td>
<td align="center" valign="top">0.7502 (0.8569)</td>
</tr>
<tr>
<td align="left" valign="middle"><italic>N</italic></td>
<td align="center" valign="top">168</td>
<td align="center" valign="top">170</td>
</tr>
<tr>
<td align="left" valign="middle"><italic>R</italic>
<sup>2</sup>
</td>
<td align="center" valign="top">0.9422</td>
<td align="center" valign="top">0.9842</td>
</tr>
</tbody>
</table>
<table-wrap-foot>
<p>&#x002A;&#x002A;&#x002A; indicate significant at the 1% levels, robust standard errors in parentheses.</p>
</table-wrap-foot>
</table-wrap>
</sec>
</sec>
</sec>
<sec id="sec38">
<label>6</label>
<title>Main conclusions and recommendations</title>
<sec id="sec39">
<label>6.1</label>
<title>Key findings and discussion</title>
<p>This study systematically examines the impact of DIF on China&#x2019;s new-quality productive forces in agriculture through theoretical analysis and empirical testing. Key findings include:</p>
<p>First, the results of benchmark regression and robustness tests confirm that DIF significantly promotes the new quality of agricultural productivity. This finding aligns with emerging research focusing on fintech&#x2019;s role in empowering high-quality agricultural development (<xref ref-type="bibr" rid="ref14">Jia and Guo, 2024</xref>). However, by adopting a more refined sectoral focus (grain production) and a more rigorous endogeneity treatment (instrumental variables approach), this study provides more robust empirical evidence, deepening our understanding of digital finance&#x2019;s practical utility within specific foundational industries.</p>
<p>Second, the mechanism analysis reveals that DIF primarily exerts its effects through two intermediary pathways: &#x201C;enhancing technological innovation levels&#x201D; and &#x201C;alleviating the constraints of agricultural fragmentation to promote intensification.&#x201D; The former validates the critical role of financial support in agricultural technology R&#x0026;D and adoption (<xref ref-type="bibr" rid="ref40">Tang et al., 2020</xref>), while the latter highlights digital finance&#x2019;s unique value in reshaping agricultural production organization and creating the scale foundation for advanced technology application (<xref ref-type="bibr" rid="ref48">Xiong et al., 2024</xref>). The identification of these dual pathways not only enriches the &#x201C;finance-technology-productivity&#x201D; transmission theory but also offers a new interpretive perspective on how DIF overcomes the fragmentation bottleneck in traditional agriculture.</p>
<p>Third, threshold effect analysis indicates that the impact of DIF exhibits significant nonlinear characteristics. Once its development level crosses specific thresholds, the marginal promotional effect on new-quality productive forces in agriculture significantly intensifies. This finding aligns with the &#x201C;tipping point&#x201D; theory of digital technology diffusion, suggesting that policymakers should focus on the threshold effects of digital infrastructure and user penetration rates rather than relying on simple linear inputs.</p>
<p>Fourth, heterogeneity analysis reveals that the promotional effect of DIF is more pronounced in major grain-producing regions and areas with weak traditional financial services. This finding aligns with existing scholarly observations on regional heterogeneity in digital finance (<xref ref-type="bibr" rid="ref3">Cui, 2021</xref>), but further clarifies its &#x201C;supplementary effect&#x201D; and &#x201C;synergistic value&#x201D; in bridging financial gaps in key production areas and serving traditional financial &#x201C;blind spots.&#x201D; It provides empirical evidence for implementing regionally differentiated financial policies.</p>
</sec>
<sec id="sec40">
<label>6.2</label>
<title>Theoretical contributions and policy recommendations</title>
<p>The theoretical contributions of this paper are primarily reflected in the following three aspects: First, it applies the theory of new-quality productive forces to the specific agricultural sector, constructing an analytical framework for new-quality productive forces in food production from the perspective of qualitative leaps in the &#x201C;laborer-means of labor-object of labor&#x201D; dynamic. This expands the empirical boundaries of the new-quality productive forces theory. Second, it reveals the dual intermediary mechanism through which DIF impacts new-quality productive forces in agriculture, clarifying the transmission pathway of &#x201C;finance-technology-alleviation of fragmentation-productivity&#x201D; and deepening theoretical understanding of finance&#x2019;s role in empowering high-quality agricultural development. Third, it identifies the nonlinear characteristics and heterogeneous conditions of DIF&#x2019;s effects, providing empirical evidence for understanding its differentiated outcomes across regional and structural variations.</p>
<p>Based on these conclusions, the paper proposes the following policy recommendations: (1) Strengthen the development of digital inclusive financial infrastructure. The development of DIF relies on robust infrastructure. Governments should increase investment in rural infrastructure such as network communications and smart devices to enhance the quality and stability of rural network coverage while reducing the cost of digital device usage. This will enable more farmers and agricultural operators to conveniently access and utilize digital financial services. Concurrently, efforts must be made to strengthen data security and privacy protection by establishing robust legal frameworks and regulatory mechanisms. Ensuring the security of DIF data and safeguarding user privacy rights will create favorable conditions for the deeper application of DIF in the grain production sector. (2) Establish a Collaborative Mechanism for DIF and Technological Innovation. Deepening cooperation between financial institutions and agricultural technology enterprises, research institutes, and other entities, we will establish a multi-departmental coordination mechanism to promote the deep integration of DIF and agricultural technological innovation. Financial institutions can develop specialized financial products and services for agricultural technology innovation projects, providing low-cost, long-term funding support to advance agricultural technology R&#x0026;D and dissemination. Leveraging big data analytics and artificial intelligence technologies from DIF, these institutions can conduct precise evaluations and risk monitoring of agricultural technology innovation projects. This enhances the accuracy and effectiveness of financial support, drives continuous progress in grain production technologies, and elevates the new quality of agricultural productivity. (3) Optimizing the Regional Development Layout of DIF. Develop differentiated strategies for DIF based on each region&#x2019;s economic development level, traditional financial infrastructure, and grain production characteristics. For areas with underdeveloped traditional financial systems, intensify policy support through fiscal subsidies and tax incentives to guide financial institutions in increasing investments in DIF. This will expand service coverage and enhance the accessibility and convenience of financial services. In major grain-producing regions, further strengthen the integrated development of DIF with the grain industry. Provide diversified, customized financial solutions across the entire grain production chain&#x2014;including cultivation, processing, storage, and sales&#x2014;to bolster support for critical production stages and new agricultural business entities. This will promote industrial transformation and upgrading while enhancing the new productive capacity of the grain sector.</p>
</sec>
</sec>
<sec id="sec41">
<label>7</label>
<title>Research limitations and future perspectives</title>
<p>Although this study has yielded certain findings, several limitations remain that warrant further refinement and deepening in future research. First, the construction and measurement of indicators involve a degree of subjectivity. When assessing new-quality agricultural productivity (Nqpg), this study established an evaluation framework based on the three factors of productivity and employed the entropy weighting method for weighting. While entropy weighting is an objective weighting technique, the selection of specific indicators still involves subjective judgment. Future research could employ multiple weighting methods (such as combining entropy weighting with the Analytic Hierarchy Process) for cross-validation to mitigate subjective influences. Second, the data time span is relatively limited. This study utilizes panel data from 2012 to 2022, covering only 11&#x202F;years. Given that new-quality agricultural productivity is a long-term dynamic evolutionary process, the shorter time span may struggle to capture the long-term cumulative effects of DIF and the structural changes in new-quality agricultural productivity. As more years of data accumulate, future research could extend the time span to conduct long-term dynamic tracking analysis. Finally, external environmental shocks were not fully accounted for. While this study focuses on the impact of DIF on new-quality agricultural productivity, it does not consider the interference of external shocks such as extreme weather events or international grain price fluctuations. For instance, global climate change may affect agricultural production efficiency, thereby influencing new-quality productivity; international grain price volatility may alter domestic producers&#x2019; production decisions, indirectly affecting the effectiveness of DIF. Future research could incorporate interaction terms between external shock variables and DIF to explore the heterogeneous effects of DIF under varying external conditions.</p>
</sec>
</body>
<back>
<sec sec-type="data-availability" id="sec42">
<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="sec43">
<title>Author contributions</title>
<p>ML: Conceptualization, Methodology, Data curation, Writing &#x2013; original draft, Writing &#x2013; review &#x0026; editing. CW: Formal analysis, Investigation, Validation, Writing &#x2013; review &#x0026; editing. YW: Resources, Project administration, Software, Supervision, Writing &#x2013; review &#x0026; editing.</p>
</sec>
<sec sec-type="COI-statement" id="sec44">
<title>Conflict of interest</title>
<p>The author(s) declared that this work was conducted in the absence of any commercial or financial relationships that could be construed as a potential conflict of interest.</p>
</sec>
<sec sec-type="ai-statement" id="sec45">
<title>Generative AI statement</title>
<p>The author(s) declared that Generative AI was not used in the creation of this manuscript.</p>
<p>Any alternative text (alt text) provided alongside figures in this article has been generated by Frontiers with the support of artificial intelligence and reasonable efforts have been made to ensure accuracy, including review by the authors wherever possible. If you identify any issues, please contact us.</p>
</sec>
<sec sec-type="disclaimer" id="sec46">
<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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<fn fn-type="custom" custom-type="edited-by" id="fn0001">
<p>Edited by: <ext-link ext-link-type="uri" xlink:href="https://loop.frontiersin.org/people/1815475/overview">Andy Yang</ext-link>, Monash University, Australia</p>
</fn>
<fn fn-type="custom" custom-type="reviewed-by" id="fn0002">
<p>Reviewed by: <ext-link ext-link-type="uri" xlink:href="https://loop.frontiersin.org/people/2916608/overview">Xuhong Wang</ext-link>, Southwest University, China</p>
<p><ext-link ext-link-type="uri" xlink:href="https://loop.frontiersin.org/people/3228870/overview">Xueqing Wang</ext-link>, Wuchang University of Technology, China</p>
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