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<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>
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<article-meta>
<article-id pub-id-type="doi">10.3389/fsufs.2025.1632170</article-id>
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<article-categories>
<subj-group subj-group-type="heading">
<subject>Original Research</subject>
</subj-group>
</article-categories>
<title-group>
<article-title>Credit access, land management scale and farmers&#x2019; E-commerce participation: evidence from rural China</article-title>
</title-group>
<contrib-group>
<contrib contrib-type="author"><name><surname>Qiu</surname> <given-names>Hailan</given-names></name><xref ref-type="aff" rid="aff1"><sup>1</sup></xref>
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<contrib contrib-type="author"><name><surname>Chi</surname> <given-names>Yiming</given-names></name><xref ref-type="aff" rid="aff1"><sup>1</sup></xref>
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<contrib contrib-type="author"><name><surname>Peng</surname> <given-names>Ruohan</given-names></name><xref ref-type="aff" rid="aff2"><sup>2</sup></xref>
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<contrib contrib-type="author" corresp="yes"><name><surname>Chen</surname> <given-names>Xiaozhi</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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<contrib contrib-type="author" corresp="yes"><name><surname>Wu</surname> <given-names>Zhihua</given-names></name><xref ref-type="aff" rid="aff1"><sup>1</sup></xref><xref ref-type="corresp" rid="c001"><sup>&#x002A;</sup></xref>
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<contrib contrib-type="author" corresp="yes"><name><surname>Sheng</surname> <given-names>Biao</given-names></name><xref ref-type="aff" rid="aff4"><sup>4</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 Economics and Management, Jiangxi Agricultural University</institution>, <city>Nanchang</city>, <country country="cn">China</country></aff>
<aff id="aff2"><label>2</label><institution>Business School, The University of New South Wales</institution>, <city>Sydney</city>, <state>NSW</state>, <country country="au">Australia</country></aff>
<aff id="aff3"><label>3</label><institution>South China Institute of Innovative Finance, Guangdong University of Finance</institution>, <city>Guangzhou</city>, <country country="cn">China</country></aff>
<aff id="aff4"><label>4</label><institution>School of Systems Science and Engineering, Sun Yat-sen University</institution>, <city>Guangzhou</city>, <country country="cn">China</country></aff>
<author-notes>
<corresp id="c001"><label>&#x002A;</label>Correspondence: Xiaozhi Chen, <email xlink:href="mailto:chenxzzz95@163.com">chenxzzz95@163.com</email>; Zhihua Wu, <email xlink:href="mailto:wuzhihua0831@126.com">wuzhihua0831@126.com</email>; Biao Sheng, <email xlink:href="mailto:shengb5@mail2.sysu.edu.cn">shengb5@mail2.sysu.edu.cn</email></corresp>
</author-notes>
<pub-date publication-format="electronic" date-type="pub" iso-8601-date="2026-01-27">
<day>27</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>1632170</elocation-id>
<history>
<date date-type="received">
<day>20</day>
<month>05</month>
<year>2025</year>
</date>
<date date-type="rev-recd">
<day>08</day>
<month>12</month>
<year>2025</year>
</date>
<date date-type="accepted">
<day>17</day>
<month>12</month>
<year>2025</year>
</date>
</history>
<permissions>
<copyright-statement>Copyright &#x00A9; 2026 Qiu, Chi, Peng, Chen, Wu and Sheng.</copyright-statement>
<copyright-year>2026</copyright-year>
<copyright-holder>Qiu, Chi, Peng, Chen, Wu and Sheng</copyright-holder>
<license>
<ali:license_ref start_date="2026-01-27">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>Introduction</title>
<p>The diversification of credit methods opens up new ways for the development of rural E-Commerce.</p>
</sec>
<sec>
<title>Methods</title>
<p>Based on the data from the 2020 China Rural Revitalization Survey, this paper explores the impact and mechanism of credit access on farmers&#x2019; E-Commerce participation by using the binary probit model and mediation effect model.</p>
</sec>
<sec>
<title>Results and discussion</title>
<p>The results of the study show that credit access raises the probability of operating an E-Commerce by 7.7 percentage points (p.p.): formal credit alone adds 6.4 p.p. and informal credit 8.8 p.p.; IV and robustness checks confirm the result. Mediation analysis reveals that 11.42 p.p. of the total effect operates through enlarged farm scale. Heterogeneity tests indicate that farmers on the plains, in major grain-producing areas, in central-eastern provinces and digital credit has a greater promotional effect on farmers&#x2019; E-Commerce participation. Further discussion of the results shows that credit access and formal credit access have a greater promotional effect on scale E-Commerce and social E-Commerce. Overall, flexible, trust-based credit systems can accelerate rural digital transformation and inclusive participation in E-Commerce. Therefore, expanding differentiated, digital-enabled rural credit could thus accelerate structural transformation and inclusive growth.</p>
</sec>
</abstract>
<kwd-group>
<kwd>credit access</kwd>
<kwd>digital finance</kwd>
<kwd>farmers</kwd>
<kwd>E-Commerce participation</kwd>
<kwd>land scale</kwd>
</kwd-group>
<funding-group>
<award-group id="gs1">
<funding-source id="sp1">
<institution-wrap>
<institution>Management Science Project of Jiangxi Province in 2025</institution>
</institution-wrap>
</funding-source>
<award-id rid="sp1">20252BAA100021</award-id>
<award-id rid="sp1">20252BAA100020</award-id>
</award-group>
<award-group id="gs2">
<funding-source id="sp2">
<institution-wrap>
<institution>Jiangxi Province Social Science Fund &#x201C;14th Five Year Plan&#x201D; (2025) Regional Project</institution>
</institution-wrap>
</funding-source>
<award-id rid="sp2">25ZXDQ30</award-id>
</award-group>
<award-group id="gs3">
<funding-source id="sp3">
<institution-wrap>
<institution>National Social Science Foundation of China</institution>
</institution-wrap>
</funding-source>
<award-id rid="sp3">22CGL027</award-id>
</award-group>
<funding-statement>The author(s) declared that financial support was received for this work and/or its publication. The paper is supported by the National Social Science Foundation of China (No. 22CGL027); Jiangxi Province Social Science Fund &#x201C;14th Five Year Plan&#x201D; (2025) Regional Project (No. 25ZXDQ30); the National Natural Science Foundation of China (No. 72573074); the Management Science Project of Jiangxi Province in 2025 (Nos. 20252BAA100020 and 20252BAA100021). Guangdong Provincial Philosophy and Social Sciences Planning Project (No. GD25ST08).</funding-statement>
</funding-group>
<counts>
<fig-count count="3"/>
<table-count count="14"/>
<equation-count count="4"/>
<ref-count count="55"/>
<page-count count="18"/>
<word-count count="11394"/>
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<custom-meta-group>
<custom-meta>
<meta-name>section-at-acceptance</meta-name>
<meta-value>Land, Livelihoods and Food Security</meta-value>
</custom-meta>
</custom-meta-group>
</article-meta>
</front>
<body>
<sec sec-type="intro" id="sec1">
<label>1</label>
<title>Introduction</title>
<p>Digital platforms have turned scattered Chinese villages into E-commerce clusters (<xref ref-type="bibr" rid="ref45">Wang et al., 2021</xref>; <xref ref-type="bibr" rid="ref22">Li and Qin, 2022</xref>; <xref ref-type="bibr" rid="ref29">Liu and Zhou, 2023</xref>; <xref ref-type="bibr" rid="ref51">Zhang et al., 2024a</xref>, <xref ref-type="bibr" rid="ref53">2024b</xref>). By the end of 2022, China&#x2019;s Taobao villages have covered 28 provinces and 180 cities, with the number reaching 7,780, an increase of 757 compared with that of last year, with a growth rate of 11%. The number of Taobao towns reached 2,429, an increase of 258 over last year, with a growth rate of 12%.</p>
<p>Although rural E-commerce has been developing rapidly due to policy support and improved market environment (<xref ref-type="bibr" rid="ref10">Chao et al., 2021</xref>; <xref ref-type="bibr" rid="ref48">Yu et al., 2023</xref>; <xref ref-type="bibr" rid="ref39">Tang et al., 2024</xref>), its further development is still faced with systemic constraints from three key challenges: unbalanced infrastructure, general lack of digital skills and weak financial support system. At the infrastructure level, the logistics network, communication facilities and warehousing system in rural areas are still not perfect, which directly restricts the efficiency and scale of E-commerce transactions. In terms of digital skills, some farmer entrepreneurs lack the necessary digital literacy, making it difficult for them to effectively participate in and adapt to the rapidly changing digital market competition. At the level of financial support, the rural financial ecosystem exhibits threefold structural deficiencies: geographically constrained service penetration, elevated capital acquisition costs, and suboptimal allocative efficiency in funding deployment (<xref ref-type="bibr" rid="ref30">Ma et al., 2019</xref>; <xref ref-type="bibr" rid="ref44">Wang and He, 2020</xref>). Such financial market imperfections mechanistically translate into capital-intensive entry barriers and protracted return horizons for rural E-commerce ventures (<xref ref-type="bibr" rid="ref41">Tang and Zhu, 2020</xref>).</p>
<p>In recent year, China&#x2019;s financial regulatory authorities have improved the loan system directly related to rural E-commerce scenarios, such as supply chain financing based on industrial chains and digital credit scoring relying on transaction data, and introduced policies to address financing challenges, effectively enhancing financial inclusiveness (<xref ref-type="bibr" rid="ref52">Zhang and Zhang, 2024</xref>). Geographically, most case studies focus on E-commerce pioneer provinces like Zhejiang and Jiangsu, with their successful models now being replicated nationwide. Meanwhile, entrepreneurs in these regions and rural communities are actively leveraging social networks to access informal loans through family-based savings groups (<xref ref-type="bibr" rid="ref43">Wang, 2022</xref>) and community lending platforms (<xref ref-type="bibr" rid="ref15">Hoang et al., 2023</xref>), using trust-based agreements to bypass traditional bank collateral requirements (<xref ref-type="bibr" rid="ref1">Bach et al., 2023</xref>). While these informal financing channels offer smaller single-transaction amounts, they provide flexible decision-making and rapid disbursement, effectively complementing formal credit systems that, though more widely accessible and larger in scale, come with higher entry barriers. This dual approach-combining government-backed and community-based financing&#x2014;shows how rural entrepreneurs adapt to gaps in financial systems where banks lack local knowledge. Accordingly, this study addresses the following three research questions: First, does enhanced credit accessibility causally induce rural E-commerce growth? Second, do heterogeneous treatment effects exist across formal versus informal financing channels? Third, through what transmission mechanisms&#x2014;whether financial inclusion mechanisms or social capital substitution effects-does credit access principally influence E-Commerce participation.</p>
<p>E-commerce participation is a positive-profit entrepreneurial project whose minimum efficient scale lies above the endowment of most farm households. Liquidity-constrained farmers therefore face a corner solution of zero adoption (<xref ref-type="bibr" rid="ref31">Omri, 2020</xref>; <xref ref-type="bibr" rid="ref24">Li et al., 2021a</xref>, <xref ref-type="bibr" rid="ref23">2021b</xref>). Credit&#x2014;whether collateralised formal loans or reputation-based informal loans&#x2014;relaxes the liquidity constraint (<xref ref-type="bibr" rid="ref47">Yang et al., 2021</xref>; <xref ref-type="bibr" rid="ref32">Qin and Kong, 2022</xref>; <xref ref-type="bibr" rid="ref16">Hu et al., 2023</xref>), allowing the household to reach the threshold scale (<xref ref-type="bibr" rid="ref6">Cai et al., 2018</xref>; <xref ref-type="bibr" rid="ref26">Lin et al., 2019</xref>). Yet informational asymmetry and limited collateralisable wealth render formal credit rationed (<xref ref-type="bibr" rid="ref40">Tang and Guo, 2017</xref>; <xref ref-type="bibr" rid="ref36">Steijvers and Voordeckers, 2009</xref>), so informal finance often dominates (<xref ref-type="bibr" rid="ref5">Boucher and Guirkinger, 2007</xref>; <xref ref-type="bibr" rid="ref14">Guirkinger, 2008</xref>; <xref ref-type="bibr" rid="ref9">Chandio et al., 2017</xref>; <xref ref-type="bibr" rid="ref54">Zhou et al., 2018</xref>). By easing liquidity constraints, credit lowers the marginal cost of renting land, shifting the optimal operational scale rightward; enlarged output raises marketable surplus and spreads the fixed cost of online marketing, pushing the net return from E-commerce above the zero-profit threshold and triggering participation (<xref ref-type="bibr" rid="ref18">Hussain and Thapa, 2012</xref>; <xref ref-type="bibr" rid="ref46">Wu and Wu, 2023</xref>).</p>
<p>Beyond traditional formal or informal loans, rural China has witnessed a fintech revolution that delivers digital credit. It is cash-less, loans originated entirely through mobile apps and algorithmic scoring. Because disbursement can occur within minutes, transaction costs approach zero, and repayment history on E-commerce or social-media platforms often substitutes for collateral, digital credit may lower liquidity constraints more sharply than either bank or kinship finance (<xref ref-type="bibr" rid="ref42">Vasudevan et al., 2025</xref>). Surprisingly, little evidence exists on whether this new channel accelerates farmers&#x2019; E-Commerce participation. We therefore embed a digital-credit test in our empirical framework and hypothesise that its superior speed, data-driven risk assessment and seamless integration with E-commerce ecosystems will generate an even larger marginal effect on E-Commerce participation than traditional credit sources.</p>
<p>In general, studies have noted the positive effects of credit access on the entrepreneurial behaviour of farmers, but there is still room for further expansion: first, most studies have focused on the effects of credit access on the general entrepreneurial behaviour of farmers, and the effects and mechanisms of such entrepreneurial behaviour as E-Commerce participation need to be further explored; second, most studies have examined the effects of credit access on the E-Commerce participation of farmers, but it is difficult to identify the differences in the effects of formal and informal credit access, and it has not clarified the differences between traditional credit and digital credit; third, existing studies have not yet clarified the differences in the impact of different credit access methods on farmers&#x2019; E-Commerce participation, as well as the differences in the impacts of credit access on the scale of E-Commerce participation and E-Commerce participation modes of different farmers. Based on this, this paper uses data from the China Rural Revitalisation Survey (CRRS) to examine the impact and mechanism of credit access on farmers&#x2019; E-Commerce participation, to compare the differences in E-Commerce effects between formal and informal credit, and explore the effect differences between different credit access methods and different E-Commerce participation scales and E-Commerce participation modes.</p>
<p>The potential marginal contributions of this paper are: first, it places formal and informal credit in a unified research framework and compares the effects of different credit access channels on farmers&#x2019; E-Commerce participation using nationwide micro-survey data; second, it explores the heterogeneous effects of credit access on farmers&#x2019; E-Commerce participation, which provides useful empirical insights for the implementation of targeted policies; and third, it further distinguishes between the effect differences between different credit access Third, it further distinguishes between the effects of different credit access methods and different E-Commerce participation scales and E-Commerce participation models, providing a feasible path for promoting rural E-Commerce development.</p>
<p>The remainder of the study is organized as follows. Section 2 describes theoretical analysis of this issue. Section 3 introduces the materials and methods. Econometric evidence is presented in Section 4, and Section 5 summarizes the main findings. Through these sections, the influence of different credit access on farmers&#x2019; E-Commerce participation and its internal mechanism are discussed, and the differences of these influences are also discussed.</p>
</sec>
<sec id="sec2">
<label>2</label>
<title>Theoretical analysis</title>
<sec id="sec3">
<label>2.1</label>
<title>The impact of credit access on farmers&#x2019; E-Commerce participation</title>
<p>Farmers&#x2019; E-Commerce participation are primarily agricultural, involving production, distribution, and sales. These operations are characterized by long cycles, slow returns, high risks, and instability (<xref ref-type="bibr" rid="ref11">Dias et al., 2019</xref>), influenced by both natural and market environments. As a result, farmers need substantial and stable capital to maintain liquidity and ensure continuous investment. At the same time, as rural E-Commerce moves towards scale and specialisation, its production and operation mode has gradually changed from labour-intensive to capital-intensive and technology-intensive. Relying solely on farmers&#x2019; own funds can hardly meet their entrepreneurial financing needs, and external financial capital support is needed (<xref ref-type="bibr" rid="ref20">Lahiri and Daramola, 2023</xref>). The credit support provided by the rural financial market can effectively alleviate the financial constraints and promote the E-Commerce participation of farmers. The government provides diversified and multi-level formal credit support for farmers&#x2019; E-Commerce participation by promoting financial product innovation and establishing a modern rural financial service system that is multi-level, wide-coverage and sustainable, so as to crack the financing problem of E-Commerce participation and promote farmers&#x2019; E-Commerce participation. However, due to the high entry conditions, credit rationing system and profit orientation of banks and other formal institutions, it is more difficult for farmers to obtain formal credit. Informal credit based on personal, geographical and business relationships has information advantages and lower borrowing costs, which can better meet the financial needs of farmers&#x2019; E-Commerce participation. The credit-based informal credit support system established in the vernacular society plays a positive role in providing entrepreneurial capital and smoothing entrepreneurial risks, which promotes farmers&#x2019; E-Commerce participation. Based on this, this paper proposes research hypothesis 1:</p>
<disp-quote>
<p>H1: Credit access has a significant positive effect on farmers&#x2019; E-Commerce participation, and informal credit is more likely to promote farmers&#x2019; E-Commerce participation than formal credit.</p>
</disp-quote>
</sec>
<sec id="sec4">
<label>2.2</label>
<title>The mechanism of land management scale</title>
<p>Land operation scale is a prerequisite for agricultural entrepreneurship (<xref ref-type="bibr" rid="ref21">Li et al., 2023</xref>). When the land management area reaches a certain scale, the agricultural production and operation activities can be changed from the self-sufficient smallholder operation mode to the market-led modern operation mode. E-Commerce participation for farmers overcome geographical barriers to reach wider markets, necessitating large-scale agricultural production. Additionally, expanding land operations helps farmers specialize, adopt new technologies, and invest in machinery (<xref ref-type="bibr" rid="ref13">Geng et al., 2022</xref>), which boosts production efficiency and the likelihood of successful E-Commerce ventures (<xref ref-type="bibr" rid="ref55">Zou and Mishra, 2024</xref>). In the institutional context of land equalisation and land rights, the expansion of land management scale relies on land transfer through the land transfer market, and the continuously rising land rent further aggravates the financial constraints of the land transferring parties. Credit support can effectively solve the problem of insufficient funds for farmers&#x2019; land transfer, meet the needs of farmers&#x2019; land transfer and land levelling planning needs as well as the needs of related water conservancy facilities construction, and realise large-scale production operations, thus promoting farmers&#x2019; E-Commerce participation. Based on this, this paper proposes research hypothesis 2:</p>
<disp-quote>
<p>H2: Credit access promotes farmers&#x2019; E-Commerce participation by expanding the scale of land management.</p>
</disp-quote>
</sec>
<sec id="sec5">
<label>2.3</label>
<title>The heterogeneous impact of credit access on farmers&#x2019; E-Commerce participation</title>
<p>The impact of credit access on farmers&#x2019; E-Commerce participation is heterogeneous in terms of regional endowment. First, the impact of credit access on farmers&#x2019; E-Commerce participation is topographically heterogeneous E-Commerce participation need to be supported by a well-developed logistics system and transport hubs (<xref ref-type="bibr" rid="ref8">Cano et al., 2022</xref>; <xref ref-type="bibr" rid="ref38">Sun and Li, 2022</xref>; <xref ref-type="bibr" rid="ref4">Beckers and Cant, 2024</xref>). Mountainous regions face higher logistics costs and lower efficiency due to challenging terrain and roads, while plains offer easier transport and lower costs, facilitating farmers&#x2019; E-Commerce activities post-credit access.</p>
<p>Second, the impact of credit access on farmers&#x2019; E-Commerce participation is heterogeneous in terms of agricultural functional zoning. Compared with non-food producing areas, agricultural support policies in food producing areas are more comprehensive, continuous and stable, and it is easier to obtain financial support provided by the government, which enhances the probability of E-Commerce participation of farmers. At the same time, rural E-Commerce is mainly based on agricultural products trading (<xref ref-type="bibr" rid="ref50">Zhang et al., 2022</xref>), compared with non-food main producing areas, the agricultural infrastructure in food main producing areas is more perfect, reduce the threshold of agricultural products trading, and be able to better play the E-Commerce participation effect of credit funds.</p>
<p>Third, the impact of credit access on farmers&#x2019; E-Commerce participation is heterogeneous in terms of geographical location. The effective operation of E-Commerce is closely related to the external economic environment and policy environment. Compared with the western region, the central and eastern regions have a higher degree of economic development, and have more complete E-Commerce facilities, which is conducive to the E-Commerce participation activities of farmers after obtaining credit funds. In addition, the financial services and credit supply system in the central and eastern regions is more perfect, farmers are more likely to obtain financial support through formal financial channels, and then carry out E-Commerce participation activities.</p>
<p>Finally, the impact of credit access on farmers&#x2019; E-Commerce participation is heterogeneous in terms of credit access method. Compared with traditional credit, digital credit departs from both traditional formal and informal paradigms in three ways that matter for E-Commerce participation. First, its algorithmic scoring taps real-time sales, logistics and social-network data, eliminating collateral barriers for asset-poor smallholders (<xref ref-type="bibr" rid="ref12">Gabor and Brooks, 2020</xref>). Second, API-triggered disbursement aligns loan inflows with working-capital peaks, letting farmers restock inventory exactly when online orders surge (<xref ref-type="bibr" rid="ref2">Balyuk and Davydenko, 2024</xref>). Third, most platforms automatically deduct repayments from sales receipts, cutting default risk and emboldening risk-averse farmers to open online storefronts (<xref ref-type="bibr" rid="ref17">Hua and Huang, 2021</xref>). Therefore, digital credit will exhibit the strongest indirect effect on E-Commerce participation among all credit types. Based on this, this paper proposes research hypothesis 3:</p>
<disp-quote>
<p>H3: The impact of credit access on farmers&#x2019; E-Commerce participation is heterogeneous in terms of topography, agricultural functional districts, geographical position and credit access method.</p>
</disp-quote>
<p>The mechanism framework of the article is shown in <xref ref-type="fig" rid="fig1">Figure 1</xref>.</p>
<fig position="float" id="fig1">
<label>Figure 1</label>
<caption>
<p>The impact mechanism of credit access on farmers&#x2019; E-Commerce participation.</p>
</caption>
<graphic xlink:href="fsufs-09-1632170-g001.tif" mimetype="image" mime-subtype="tiff">
<alt-text content-type="machine-generated">Flowchart showing the process from credit access to e-commerce participation. Credit access leads to paying land lease fees and increasing land investment, alleviating financial constraints. This enables expanding land management and promoting specialized production and mechanization. These steps establish the foundation for e-commerce participation.</alt-text>
</graphic>
</fig>
</sec>
</sec>
<sec sec-type="materials|methods" id="sec6">
<label>3</label>
<title>Materials and methods</title>
<sec id="sec7">
<label>3.1</label>
<title>Data sources</title>
<p>This article is based on the 2020 China Rural Revitalization Survey (CRRS), a large-scale nationwide rural tracking survey initiated and completed by the Institute of Rural Development of the Chinese Academy of Social Sciences (CASS), which reflects China&#x2019;s rural development issues, such as rural population and labour force, rural industrial structure, farmers&#x2019; income and expenditure, and social well-being. Taking into account the level of economic development, regional location, and agricultural development, the research team randomly selected sample provinces in the East, Central, West, and Northeast regions, covering 10 provinces (autonomous regions), including Guangdong, Zhejiang, Shandong, Anhui, Henan, Heilongjiang, Guizhou, Sichuan, Shaanxi, and Ningxia Hui Autonomous Region, and used an equidistant random sampling method based on the per capita GDP. The sample counties are selected based on the GDP per capita at the county level of the province; on this basis, the sample townships and villages are randomly selected based on the level of economic development of the local townships and villages; and finally, the sample households are randomly selected based on the roster provided by the village committees. The CRRS data covers 50 counties (cities), 156 townships and 300 villages, with 3,833 samples of farm households, which is a strong representation of the population in the whole country. According to the research needs, after eliminating the missing values and outliers of key variables, 2,557 valid samples were finally selected for the study.</p>
</sec>
<sec id="sec8">
<label>3.2</label>
<title>Variables</title>
<sec id="sec9">
<label>3.2.1</label>
<title>Dependent variable</title>
<p>The dependent variable in this paper is farmers&#x2019; E-Commerce participation. Referring to the study of <xref ref-type="bibr" rid="ref34">Qiu et al. (2024a</xref>, <xref ref-type="bibr" rid="ref33">2024b)</xref>, the questionnaire &#x201C;whether your family operates and has products traded through the network&#x201D; is selected for measurement, and the answer of &#x201C;yes&#x201D; is assigned as 1, which means that farmers have E-Commerce participation behaviour; the answer of &#x201C;no&#x201D; is assigned as 0, which means that farmers do not have E-Commerce participation behaviour. The answer of &#x201C;no&#x201D; is assigned as 0, which means that the farmers do not have E-Commerce participation behaviour.</p>
</sec>
<sec id="sec10">
<label>3.2.2</label>
<title>Core independent variables</title>
<p>The core independent variables in this paper are credit access, formal credit access and informal credit access. Credit access refers to the behaviour and process of economic entities to obtain funds from capital suppliers to cope with shocks or carry out production and investment. Formal credit acquisition specifically refers to the process where economic entities successfully obtain loans from formal financial institutions. The core characteristics of this type of credit acquisition lie in its institutionalization, regulatory oversight, and contractual nature. In contrast, informal credit acquisition primarily relies on social networks, geographical connections, kinship ties, or personal trust. Its defining features include non-regulatory characteristics, relationship-dependent mechanisms, and flexible adaptability. Referring to the study of <xref ref-type="bibr" rid="ref47">Yang et al. (2021)</xref>, credit access is measured by the indicator of farmers&#x2019; credit access, which is regarded as access credit and assigned the value of 1, otherwise it is assigned the value of 0. At the same time, credit access is classified according to the source of borrowing funds. Borrowing from formal financial institutions&#x2014;including but not limited to commercial banks (e.g., state-owned and joint-equity banks), rural credit unions, and other regulated entities such as licensed microfinance institutions (MFIs) or online lending platforms&#x2014;is regarded as formal credit access and assigned a value of 1. Borrowing from all other sources (e.g., informal lenders, friends, or relatives) is assigned a value of 0. Borrowing from informal financial institutions, such as relatives, friends and private financing platforms, is regarded as informal credit access and assigned the value of 1, otherwise it is assigned the value of 0.</p>
</sec>
<sec id="sec11">
<label>3.2.3</label>
<title>Mediating variables</title>
<p>Based on the previous theoretical analysis, it is known that credit access promotes farmers&#x2019; E-Commerce participation by expanding the scale of land operation. Under the land equalization and confirmation system, credit support mainly promotes E-Commerce participations by alleviating the financial constraints of land scale expansion. Specifically, credit is primarily used to pay land rents, level land and build water conservancy facilities, thus directly driving the expansion of land management scale, which is the most direct and core transmission mechanism of credit affecting E-Commerce participations. Referring to the study of <xref ref-type="bibr" rid="ref35">Rogers et al. (2021)</xref>, the indicator of land transfer area, which represents the newly transferred-in land area and is a continuous variable, is used to measure the land management scale.</p>
</sec>
<sec id="sec12">
<label>3.2.4</label>
<title>Control variables</title>
<p>With reference to the studies of <xref ref-type="bibr" rid="ref28">Liu et al. (2020)</xref>, <xref ref-type="bibr" rid="ref24">Li et al. (2021a</xref>, <xref ref-type="bibr" rid="ref23">2021b)</xref>, and <xref ref-type="bibr" rid="ref52">Zhang and Zhang (2024)</xref>, this paper introduces three levels of variables, namely, individual characteristics of the head of the household, household characteristics, and regional characteristics, as control variables. Variables such as gender, age, marital status, education level, political profile, and health status are selected at the individual farm household level; variables such as the number of family labour force, family economic status, and family social capital are selected at the household level; and variables such as village topography, village traffic conditions, village economic level, and regional economic level are selected at the regional level. The descriptive statistical characteristics of all variables are shown in <xref ref-type="table" rid="tab1">Table 1</xref>. We outlined the measurement criteria for each variable in the questionnaire, along with their corresponding mean values and standard deviations.</p>
<table-wrap position="float" id="tab1">
<label>Table 1</label>
<caption>
<p>Variable definitions, measures and descriptive statistical analyses.</p>
</caption>
<table frame="hsides" rules="groups">
<thead>
<tr>
<th align="left" valign="top">Variable</th>
<th align="left" valign="top">Definition</th>
<th align="center" valign="top">Mean</th>
<th align="center" valign="top">Std. dev</th>
</tr>
</thead>
<tbody>
<tr>
<td align="left" valign="middle" colspan="4">Dependent variable</td>
</tr>
<tr>
<td align="left" valign="middle">E-Commerce participation</td>
<td align="left" valign="middle">Does it operate and have products for online trading? Yes&#x202F;=&#x202F;1, No&#x202F;=&#x202F;0</td>
<td align="char" valign="middle" char=".">0.078</td>
<td align="char" valign="middle" char=".">0.268</td>
</tr>
<tr>
<td align="left" valign="middle" colspan="4">Core independent variables</td>
</tr>
<tr>
<td align="left" valign="middle">Credit access</td>
<td align="left" valign="middle">Has there been any credit? Yes&#x202F;=&#x202F;1, No&#x202F;=&#x202F;0</td>
<td align="char" valign="middle" char=".">0.475</td>
<td align="char" valign="middle" char=".">0.499</td>
</tr>
<tr>
<td align="left" valign="middle">Formal credit access</td>
<td align="left" valign="middle">Is there credit from formal financial institutions? Yes&#x202F;=&#x202F;1, No&#x202F;=&#x202F;0</td>
<td align="char" valign="middle" char=".">0.215</td>
<td align="char" valign="middle" char=".">0.411</td>
</tr>
<tr>
<td align="left" valign="middle">Informal credit access</td>
<td align="left" valign="middle">Is there credit from informal financial institutions? Yes&#x202F;=&#x202F;1, No&#x202F;=&#x202F;0</td>
<td align="char" valign="middle" char=".">0.364</td>
<td align="char" valign="middle" char=".">0.481</td>
</tr>
<tr>
<td align="left" valign="middle" colspan="4">Mediating variables</td>
</tr>
<tr>
<td align="left" valign="middle">Scale of land management</td>
<td align="left" valign="middle">Area of land transferred (ha)</td>
<td align="char" valign="middle" char=".">0.858</td>
<td align="char" valign="middle" char=".">5.165</td>
</tr>
<tr>
<td align="left" valign="middle" colspan="4">Control variables</td>
</tr>
<tr>
<td align="left" valign="top">Gender</td>
<td align="left" valign="top">Male&#x202F;=&#x202F;1, Female&#x202F;=&#x202F;0</td>
<td align="char" valign="middle" char=".">0.939</td>
<td align="char" valign="middle" char=".">0.239</td>
</tr>
<tr>
<td align="left" valign="top">Age</td>
<td align="left" valign="top">Actual age of head of household (years)</td>
<td align="char" valign="middle" char=".">57.099</td>
<td align="char" valign="middle" char=".">11.339</td>
</tr>
<tr>
<td align="left" valign="top">Marital status</td>
<td align="left" valign="top">Married&#x202F;=&#x202F;1, Unmarried&#x202F;=&#x202F;0</td>
<td align="char" valign="middle" char=".">0.916</td>
<td align="char" valign="middle" char=".">0.277</td>
</tr>
<tr>
<td align="left" valign="middle">Educational level</td>
<td align="left" valign="top">Lower secondary and below&#x202F;=&#x202F;1, High school&#x202F;=&#x202F;2, Tertiary&#x202F;=&#x202F;3, Bachelor and above&#x202F;=&#x202F;4</td>
<td align="char" valign="middle" char=".">1.172</td>
<td align="char" valign="middle" char=".">0.452</td>
</tr>
<tr>
<td align="left" valign="top">Political profile</td>
<td align="left" valign="top">Political party member&#x202F;=&#x202F;1, Non-party member&#x202F;=&#x202F;0</td>
<td align="char" valign="middle" char=".">0.207</td>
<td align="char" valign="middle" char=".">0.405</td>
</tr>
<tr>
<td align="left" valign="top">Health status</td>
<td align="left" valign="top">Very poor health condition&#x202F;=&#x202F;1, Poor health condition&#x202F;=&#x202F;2, General health condition&#x202F;=&#x202F;3, Good health condition&#x202F;=&#x202F;4, Excellent health condition&#x202F;=&#x202F;5</td>
<td align="char" valign="middle" char=".">3.579</td>
<td align="char" valign="middle" char=".">1.009</td>
</tr>
<tr>
<td align="left" valign="top">Number of family labourers</td>
<td align="left" valign="middle">Person</td>
<td align="char" valign="middle" char=".">2.776</td>
<td align="char" valign="middle" char=".">1.310</td>
</tr>
<tr>
<td align="left" valign="top">Family economic situation</td>
<td align="center" valign="top">Amount of deposits (ten thousand CNY), in logarithms</td>
<td align="char" valign="middle" char=".">0.431</td>
<td align="char" valign="middle" char=".">0.500</td>
</tr>
<tr>
<td align="left" valign="middle">Family social capital</td>
<td align="left" valign="top">Amount spent on gifts (ten thousand CNY), in logarithms</td>
<td align="char" valign="middle" char=".">0.042</td>
<td align="char" valign="middle" char=".">0.140</td>
</tr>
<tr>
<td align="left" valign="top">Village topography</td>
<td align="left" valign="top">Plain&#x202F;=&#x202F;1, Hilly&#x202F;=&#x202F;2, Mid-levels&#x202F;=&#x202F;3, Mountain area&#x202F;=&#x202F;4</td>
<td align="char" valign="middle" char=".">2.359</td>
<td align="char" valign="middle" char=".">1.330</td>
</tr>
<tr>
<td align="left" valign="top">Village transport conditions</td>
<td align="center" valign="top">Distance of the village from the county town (kilometres)</td>
<td align="char" valign="middle" char=".">26.470</td>
<td align="char" valign="middle" char=".">17.813</td>
</tr>
<tr>
<td align="left" valign="top">Economic level of villages</td>
<td align="center" valign="top">Per capita disposable income in villages (ten thousand CNY)</td>
<td align="char" valign="middle" char=".">1.426</td>
<td align="char" valign="middle" char=".">0.938</td>
</tr>
<tr>
<td align="left" valign="top">Regional economic level</td>
<td align="left" valign="top">GDP per capita in the municipality (ten thousand CNY)</td>
<td align="char" valign="middle" char=".">5.859</td>
<td align="char" valign="middle" char=".">3.089</td>
</tr>
</tbody>
</table>
</table-wrap>
<p>This paper compares the E-Commerce participation of farmers with and without credit access as shown in <xref ref-type="table" rid="tab2">Table 2</xref>. There is a significant difference in the probability of E-Commerce participation between credit-accessed and non-credit-accessed farmers. Farmers with credit access exhibit a 0.079 higher probability of E-Commerce participation. Those with formal credit access show a 0.071 higher probability, while those with informal credit access show a 0.096 higher probability. From this, it can be preliminarily concluded that credit access plays an important role in promoting E-Commerce participation of farmers. Of course, a more rigorous econometric analysis is still needed to confirm the impact effect of credit access on farmers&#x2019; E-Commerce participation. The following section will empirically analyse the impact of credit access on farmers&#x2019; E-Commerce participation.</p>
<table-wrap position="float" id="tab2">
<label>Table 2</label>
<caption>
<p>Comparison of the difference in the mean value of E-Commerce participation between credit-accessed and non-credit-accessed farm households.</p>
</caption>
<table frame="hsides" rules="groups">
<thead>
<tr>
<th align="left" valign="top">Variable name</th>
<th align="center" valign="top">Credit-accessed</th>
<th align="center" valign="top">Non-credit-accessed</th>
<th align="center" valign="top">Mean difference</th>
</tr>
</thead>
<tbody>
<tr>
<td align="left" valign="middle">Credit access</td>
<td align="char" valign="middle" char=".">0.119</td>
<td align="char" valign="middle" char=".">0.040</td>
<td align="char" valign="middle" char=".">0.079&#x002A;&#x002A;&#x002A;</td>
</tr>
<tr>
<td align="left" valign="middle">Formal credit access</td>
<td align="char" valign="middle" char=".">0.131</td>
<td align="char" valign="middle" char=".">0.060</td>
<td align="char" valign="middle" char=".">0.071&#x002A;&#x002A;&#x002A;</td>
</tr>
<tr>
<td align="left" valign="middle">Informal credit access</td>
<td align="char" valign="middle" char=".">0.143</td>
<td align="char" valign="middle" char=".">0.047</td>
<td align="char" valign="middle" char=".">0.096&#x002A;&#x002A;&#x002A;</td>
</tr>
</tbody>
</table>
</table-wrap>
</sec>
</sec>
<sec id="sec13">
<label>3.3</label>
<title>Model construction</title>
<sec id="sec14">
<label>3.3.1</label>
<title>Benchmark regression model</title>
<p>The dependent variable in this study is the E-Commerce participation, represented as a binary categorical variable. Therefore, a binary probit model is constructed as shown in <xref ref-type="disp-formula" rid="E1">Equation 1</xref>:</p>
<disp-formula id="E1">
<mml:math id="M1">
<mml:mrow>
<mml:mi>Y</mml:mi>
<mml:mo>=</mml:mo>
<mml:msub>
<mml:mi>&#x03B1;</mml:mi>
<mml:mn>0</mml:mn>
</mml:msub>
<mml:mo>+</mml:mo>
<mml:msub>
<mml:mi>&#x03B1;</mml:mi>
<mml:mn>1</mml:mn>
</mml:msub>
<mml:mi>C</mml:mi>
<mml:mo>+</mml:mo>
<mml:msub>
<mml:mi>&#x03B1;</mml:mi>
<mml:mn>2</mml:mn>
</mml:msub>
<mml:mi>X</mml:mi>
<mml:mo>+</mml:mo>
<mml:mi>&#x03C3;</mml:mi>
<mml:mspace width="0.25em"/>
</mml:mrow>
</mml:math>
<label>(1)</label>
</disp-formula>
<p>In <xref ref-type="disp-formula" rid="E1">Equation 1</xref>, where <italic>Y</italic> denotes farmers&#x2019; E-Commerce participation; <italic>C</italic> denotes credit access, formal credit access and informal credit access, X denotes a series of control variables; <inline-formula>
<mml:math id="M2">
<mml:mrow>
<mml:msub>
<mml:mi>&#x03B1;</mml:mi>
<mml:mn>0</mml:mn>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> is a constant term; <inline-formula>
<mml:math id="M3">
<mml:mrow>
<mml:msub>
<mml:mi>&#x03B1;</mml:mi>
<mml:mn>1</mml:mn>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula>, <inline-formula>
<mml:math id="M4">
<mml:mrow>
<mml:msub>
<mml:mi>&#x03B1;</mml:mi>
<mml:mn>1</mml:mn>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula>are regression coefficients; <inline-formula>
<mml:math id="M5">
<mml:mi>&#x03C3;</mml:mi>
</mml:math>
</inline-formula> is the error term.</p>
<p>After estimating the baseline probit models, we pre-registered a multi-pronged robustness protocol in our internal analysis plan. Specifically, we (i) re-estimate all equations with a logit specification to check functional-form sensitivity; (ii) replace key variables with alternative proxies (variable-replacement tests); (iii) exclude potentially contaminated sub-samples (exclusion-sample checks); (iv) construct a balanced sample using Propensity Score Matching (PSM) to mitigate selection bias; and (v) implement the Extended Regression Model (ERM) framework with an instrumental variable to accommodate endogeneity in a non-linear setting. Detailed results of each validation step are reported in Section 4.2 and 4.3.</p>
</sec>
<sec id="sec15">
<label>3.3.2</label>
<title>The mediating effect model</title>
<p>In order to explore the mechanism of credit access on farmers&#x2019; E-Commerce participation, the following mediation effect model is constructed with reference to <xref ref-type="bibr" rid="ref3">Baron and Kenny&#x2019;s (1986)</xref> study:</p>
<disp-formula id="E2">
<mml:math id="M6">
<mml:mrow>
<mml:mi>Y</mml:mi>
<mml:mo>=</mml:mo>
<mml:msub>
<mml:mi>c</mml:mi>
<mml:mn>0</mml:mn>
</mml:msub>
<mml:mo>+</mml:mo>
<mml:msub>
<mml:mi>c</mml:mi>
<mml:mn>1</mml:mn>
</mml:msub>
<mml:mi>C</mml:mi>
<mml:mo>+</mml:mo>
<mml:msub>
<mml:mi>c</mml:mi>
<mml:mn>2</mml:mn>
</mml:msub>
<mml:mi>X</mml:mi>
<mml:mo>+</mml:mo>
<mml:msub>
<mml:mi>&#x03B5;</mml:mi>
<mml:mn>1</mml:mn>
</mml:msub>
<mml:mspace width="0.25em"/>
</mml:mrow>
</mml:math>
<label>(2)</label>
</disp-formula>
<disp-formula id="E3">
<mml:math id="M7">
<mml:mrow>
<mml:mi>M</mml:mi>
<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>C</mml:mi>
<mml:mo>+</mml:mo>
<mml:msub>
<mml:mi>a</mml:mi>
<mml:mn>2</mml:mn>
</mml:msub>
<mml:mi>X</mml:mi>
<mml:mo>+</mml:mo>
<mml:msub>
<mml:mi>&#x03B5;</mml:mi>
<mml:mn>2</mml:mn>
</mml:msub>
</mml:mrow>
</mml:math>
<label>(3)</label>
</disp-formula>
<disp-formula id="E4">
<mml:math id="M8">
<mml:mrow>
<mml:mi>Y</mml:mi>
<mml:mo>=</mml:mo>
<mml:msub>
<mml:mi>b</mml:mi>
<mml:mn>0</mml:mn>
</mml:msub>
<mml:mo>+</mml:mo>
<mml:mi>c</mml:mi>
<mml:mi>C</mml:mi>
<mml:mo>+</mml:mo>
<mml:msub>
<mml:mi>b</mml:mi>
<mml:mn>1</mml:mn>
</mml:msub>
<mml:mi>M</mml:mi>
<mml:mo>+</mml:mo>
<mml:msub>
<mml:mi>b</mml:mi>
<mml:mn>2</mml:mn>
</mml:msub>
<mml:mi>M</mml:mi>
<mml:mo>+</mml:mo>
<mml:msub>
<mml:mi>&#x03B5;</mml:mi>
<mml:mn>3</mml:mn>
</mml:msub>
</mml:mrow>
</mml:math>
<label>(4)</label>
</disp-formula>
<p>In <xref ref-type="disp-formula" rid="E2 E3 E4">Equations 2&#x2013;4</xref>, <italic>Y</italic> denote farmers&#x2019; E-Commerce participation; <italic>C</italic> denote credit access, formal credit access and informal credit access; <italic>M</italic> denotes the mediator variable, and <italic>X</italic> denote the control variable; <inline-formula>
<mml:math id="M9">
<mml:mrow>
<mml:msub>
<mml:mi>a</mml:mi>
<mml:mn>0</mml:mn>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula>, <inline-formula>
<mml:math id="M10">
<mml:mrow>
<mml:msub>
<mml:mi>b</mml:mi>
<mml:mn>0</mml:mn>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula>, <inline-formula>
<mml:math id="M11">
<mml:mrow>
<mml:msub>
<mml:mi>c</mml:mi>
<mml:mn>0</mml:mn>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula>, are the constant term, and <inline-formula>
<mml:math id="M12">
<mml:mrow>
<mml:msub>
<mml:mi>a</mml:mi>
<mml:mn>1</mml:mn>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula>, <inline-formula>
<mml:math id="M13">
<mml:mrow>
<mml:msub>
<mml:mi>b</mml:mi>
<mml:mn>1</mml:mn>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula>, <italic>c</italic>, <inline-formula>
<mml:math id="M14">
<mml:mrow>
<mml:msub>
<mml:mi>c</mml:mi>
<mml:mn>1</mml:mn>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula>, <inline-formula>
<mml:math id="M15">
<mml:mrow>
<mml:msub>
<mml:mi>a</mml:mi>
<mml:mn>2</mml:mn>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula>, <inline-formula>
<mml:math id="M16">
<mml:mrow>
<mml:msub>
<mml:mi>b</mml:mi>
<mml:mn>2</mml:mn>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula>, <inline-formula>
<mml:math id="M17">
<mml:mrow>
<mml:msub>
<mml:mi>c</mml:mi>
<mml:mn>2</mml:mn>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula>, are the coefficient to be estimated; and <inline-formula>
<mml:math id="M18">
<mml:mrow>
<mml:msub>
<mml:mi>&#x03B5;</mml:mi>
<mml:mn>1</mml:mn>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula>, <inline-formula>
<mml:math id="M19">
<mml:mrow>
<mml:msub>
<mml:mi>&#x03B5;</mml:mi>
<mml:mn>2</mml:mn>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula>, <inline-formula>
<mml:math id="M20">
<mml:mrow>
<mml:msub>
<mml:mi>&#x03B5;</mml:mi>
<mml:mn>3</mml:mn>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> are the error term.</p>
</sec>
</sec>
</sec>
<sec sec-type="results" id="sec16">
<label>4</label>
<title>Results</title>
<sec id="sec17">
<label>4.1</label>
<title>Benchmark regression</title>
<p>The results of the impact of credit access on farmers&#x2019; E-Commerce participation behaviour are shown in <xref ref-type="table" rid="tab3">Table 3</xref>. The results show that after controlling the variables of farmers individual characteristics, household characteristics and regional characteristics, credit access, formal credit access and informal credit access have a significant positive effect on farmers&#x2019; E-Commerce participation, and the effect of informal credit is stronger, and the research hypothesis H1 has been confirmed. The credit access has effectively alleviated financial constraints for farmers engaged in E-Commerce participation. Informal credit demonstrates stronger driving force primarily due to its flexibility and social embeddedness compared to formal credit. It better meets the financing needs of small-scale farmers during their initial business stages, typically requiring no complex procedures or collateral, thereby reducing transaction costs.</p>
<table-wrap position="float" id="tab3">
<label>Table 3</label>
<caption>
<p>Benchmark regression results of credit access on farmers&#x2019; E-Commerce participation.</p>
</caption>
<table frame="hsides" rules="groups">
<thead>
<tr>
<th align="left" valign="top" rowspan="2">Variable name</th>
<th align="center" valign="top" colspan="2">(1)</th>
<th align="center" valign="top" colspan="2">(2)</th>
<th align="center" valign="top" colspan="2">(3)</th>
</tr>
<tr>
<th align="center" valign="top">Coefficient</th>
<th align="center" valign="top">Marginal effect</th>
<th align="center" valign="top">Coefficient</th>
<th align="center" valign="top">Marginal effect</th>
<th align="center" valign="top">Coefficient</th>
<th align="center" valign="top">Marginal effect</th>
</tr>
</thead>
<tbody>
<tr>
<td align="left" valign="middle">Credit access</td>
<td align="center" valign="middle">0.597&#x002A;&#x002A;&#x002A; (0.085)</td>
<td align="center" valign="middle">0.077&#x002A;&#x002A;&#x002A; (0.011)</td>
<td/>
<td/>
<td/>
<td/>
</tr>
<tr>
<td align="left" valign="middle">Formal credit access</td>
<td/>
<td/>
<td align="center" valign="middle">0.491&#x002A;&#x002A;&#x002A; (0.080)</td>
<td align="center" valign="middle">0.064&#x002A;&#x002A;&#x002A; (0.011)</td>
<td/>
<td/>
</tr>
<tr>
<td align="left" valign="middle">Informal credit access</td>
<td/>
<td/>
<td/>
<td/>
<td align="center" valign="middle">0.677&#x002A;&#x002A;&#x002A; (0.091)</td>
<td align="center" valign="middle">0.088&#x002A;&#x002A;&#x002A; (0.012)</td>
</tr>
<tr>
<td align="left" valign="middle">Gender</td>
<td align="center" valign="middle">0.129 (0.187)</td>
<td align="center" valign="middle">0.017 (0.024)</td>
<td align="center" valign="middle">0.123 (0.187)</td>
<td align="center" valign="middle">0.016 (0.024)</td>
<td align="center" valign="middle">0.081 (0.183)</td>
<td align="center" valign="middle">0.011 (0.024)</td>
</tr>
<tr>
<td align="left" valign="middle">Age</td>
<td align="center" valign="middle">&#x2212;0.016&#x002A;&#x002A;&#x002A; (0.004)</td>
<td align="center" valign="middle">&#x2212;0.002&#x002A;&#x002A;&#x002A; (0.001)</td>
<td align="center" valign="middle">&#x2212;0.016&#x002A;&#x002A;&#x002A; (0.004)</td>
<td align="center" valign="middle">&#x2212;0.002&#x002A;&#x002A;&#x002A; (0.001)</td>
<td align="center" valign="middle">&#x2212;0.019&#x002A;&#x002A;&#x002A; (0.004)</td>
<td align="center" valign="middle">&#x2212;0.002&#x002A;&#x002A;&#x002A; (0.000)</td>
</tr>
<tr>
<td align="left" valign="middle">Marital status</td>
<td align="center" valign="middle">0.204 (0.197)</td>
<td align="center" valign="middle">0.026 (0.026)</td>
<td align="center" valign="middle">0.207 (0.197)</td>
<td align="center" valign="middle">0.027 (0.026)</td>
<td align="center" valign="middle">0.219 (0.196)</td>
<td align="center" valign="middle">0.028 (0.025)</td>
</tr>
<tr>
<td align="left" valign="middle">Educational level</td>
<td align="center" valign="middle">0.158&#x002A;&#x002A; (0.075)</td>
<td align="center" valign="middle">0.020&#x002A;&#x002A; (0.010)</td>
<td align="center" valign="middle">0.148&#x002A;&#x002A; (0.075)</td>
<td align="center" valign="middle">0.019&#x002A;&#x002A; (0.010)</td>
<td align="center" valign="middle">0.173&#x002A;&#x002A; (0.075)</td>
<td align="center" valign="middle">0.022&#x002A;&#x002A; (0.010)</td>
</tr>
<tr>
<td align="left" valign="middle">Political profile</td>
<td align="center" valign="middle">0.194&#x002A;&#x002A; (0.094)</td>
<td align="center" valign="middle">0.025&#x002A;&#x002A; (0.012)</td>
<td align="center" valign="middle">0.175&#x002A; (0.093)</td>
<td align="center" valign="middle">0.023&#x002A; (0.012)</td>
<td align="center" valign="middle">0.267&#x002A;&#x002A;&#x002A; (0.095)</td>
<td align="center" valign="middle">0.035&#x002A;&#x002A;&#x002A; (0.012)</td>
</tr>
<tr>
<td align="left" valign="middle">Health status</td>
<td align="center" valign="middle">0.048 (0.040)</td>
<td align="center" valign="middle">0.006 (0.005)</td>
<td align="center" valign="middle">0.034 (0.040)</td>
<td align="center" valign="middle">0.004 (0.005)</td>
<td align="center" valign="middle">0.057 (0.040)</td>
<td align="center" valign="middle">0.007 (0.005)</td>
</tr>
<tr>
<td align="left" valign="middle">Number of family labourers</td>
<td align="center" valign="middle">0.090&#x002A;&#x002A; (0.035)</td>
<td align="center" valign="middle">0.012&#x002A;&#x002A; (0.005)</td>
<td align="center" valign="middle">0.093&#x002A;&#x002A;&#x002A; (0.035)</td>
<td align="center" valign="middle">0.012&#x002A;&#x002A;&#x002A; (0.005)</td>
<td align="center" valign="middle">0.093&#x002A;&#x002A;&#x002A; (0.035)</td>
<td align="center" valign="middle">0.012&#x002A;&#x002A;&#x002A; (0.005)</td>
</tr>
<tr>
<td align="left" valign="middle">Family economic situation</td>
<td align="center" valign="middle">0.097 (0.075)</td>
<td align="center" valign="middle">0.012 (0.010)</td>
<td align="center" valign="middle">0.075 (0.074)</td>
<td align="center" valign="middle">0.010 (0.010)</td>
<td align="center" valign="middle">0.115 (0.076)</td>
<td align="center" valign="middle">0.015 (0.010)</td>
</tr>
<tr>
<td align="left" valign="middle">Family social capital</td>
<td align="center" valign="middle">0.278 (0.232)</td>
<td align="center" valign="middle">0.036 (0.030)</td>
<td align="center" valign="middle">0.258 (0.233)</td>
<td align="center" valign="middle">0.034 (0.030)</td>
<td align="center" valign="middle">0.239 (0.233)</td>
<td align="center" valign="middle">0.031 (0.030)</td>
</tr>
<tr>
<td align="left" valign="middle">Village topography</td>
<td align="center" valign="middle">&#x2212;0.058&#x002A; (0.033)</td>
<td align="center" valign="middle">&#x2212;0.007&#x002A; (0.004)</td>
<td align="center" valign="middle">&#x2212;0.060&#x002A; (0.033)</td>
<td align="center" valign="middle">&#x2212;0.008&#x002A;&#x002A; (0.004)</td>
<td align="center" valign="middle">&#x2212;0.052 (0.033)</td>
<td align="center" valign="middle">&#x2212;0.007&#x002A; (0.004)</td>
</tr>
<tr>
<td align="left" valign="middle">Village transport conditions</td>
<td align="center" valign="middle">&#x2212;0.006&#x002A;&#x002A; (0.003)</td>
<td align="center" valign="middle">&#x2212;0.001&#x002A;&#x002A;&#x002A; (0.000)</td>
<td align="center" valign="middle">&#x2212;0.005&#x002A;&#x002A; (0.002)</td>
<td align="center" valign="middle">&#x2212;0.001&#x002A;&#x002A;&#x002A; (0.000)</td>
<td align="center" valign="middle">&#x2212;0.008&#x002A;&#x002A;&#x002A; (0.003)</td>
<td align="center" valign="middle">&#x2212;0.001&#x002A;&#x002A;&#x002A; (0.000)</td>
</tr>
<tr>
<td align="left" valign="middle" rowspan="2">Economic level of villages</td>
<td align="center" valign="middle" rowspan="2">0.124&#x002A;&#x002A;&#x002A; (0.046)</td>
<td align="center" valign="middle" rowspan="2">0.016&#x002A;&#x002A;&#x002A; (0.006)</td>
<td align="center" valign="middle" rowspan="2">0.110&#x002A;&#x002A; (0.046)</td>
<td align="center" valign="middle" rowspan="2">0.143&#x002A;&#x002A; (0.006)</td>
<td align="center" valign="middle">0.125&#x002A;&#x002A;&#x002A; (0.046)</td>
<td align="center" valign="middle" rowspan="2">0.016&#x002A;&#x002A;&#x002A; (0.006)</td>
</tr>
<tr>
<td align="left" valign="middle">Regional economic level</td>
<td align="center" valign="middle">0.029&#x002A;&#x002A; (0.014)</td>
<td align="center" valign="middle">0.004&#x002A;&#x002A; (0.002)</td>
<td align="center" valign="middle">0.028&#x002A;&#x002A; (0.014)</td>
<td align="center" valign="middle">0.004&#x002A;&#x002A; (0.002)</td>
<td align="center" valign="middle">0.031&#x002A;&#x002A; (0.014)</td>
<td align="center" valign="middle">0.004&#x002A;&#x002A; (0.002)</td>
</tr>
<tr>
<td align="left" valign="middle">Constant term</td>
<td align="center" valign="middle">&#x2212;2.044&#x002A;&#x002A;&#x002A; (0.407)</td>
<td/>
<td align="center" valign="middle">&#x2212;1.808&#x002A;&#x002A;&#x002A; (0.402)</td>
<td/>
<td align="center" valign="middle">&#x2212;1.726&#x002A;&#x002A;&#x002A; (0.395)</td>
<td/>
</tr>
<tr>
<td align="left" valign="middle">Pseudo R<sup>2</sup></td>
<td align="center" valign="middle">0.117</td>
<td/>
<td align="center" valign="middle">0.107</td>
<td/>
<td align="center" valign="middle">0.119</td>
<td/>
</tr>
<tr>
<td align="left" valign="middle"><italic>N</italic></td>
<td align="center" valign="middle">2,557</td>
<td align="center" valign="middle">2,557</td>
<td align="center" valign="middle">2,557</td>
<td align="center" valign="middle">2,557</td>
<td align="center" valign="middle">2,557</td>
<td align="center" valign="middle">2,557</td>
</tr>
</tbody>
</table>
<table-wrap-foot>
<p>&#x002A;, &#x002A;&#x002A;, and &#x002A;&#x002A;&#x002A;indicate significance at the 10, 5, and 1% levels, respectively (same table below).</p>
</table-wrap-foot>
</table-wrap>
<p>Among the control variables, the level of education, political appearance, the number of family labourers, the economic level of the village and the economic level of the region have a significant positive effect on the E-Commerce participation of farmers. In addition, age and village transport conditions have a significant negative impact on farmers&#x2019; E-Commerce participation. Educational attainment and household labor force size, respectively, demonstrate the foundational support roles of human capital and family resources. The economic development level of villages and regions provides external impetus for E-Commerce activities through market environment and infrastructure conditions. Conversely, the risk-averse tendencies associated with aging populations, coupled with increased logistics costs and transportation challenges in remote areas, constitute practical barriers for farmers to engage in E-Commerce.</p>
<p>To pinpoint the differential marginal impacts of formal and informal credit access, we plot their respective marginal effects in <xref ref-type="fig" rid="fig2">Figure 2</xref>. The figure shows that informal credit almost doubles the probability of farmers&#x2019; E-Commerce participation compared with formal credit. Three mutually reinforcing characteristics of rural informal finance drive this advantage.</p>
<fig position="float" id="fig2">
<label>Figure 2</label>
<caption>
<p>The marginal effect of formal credit access and informal credit access.</p>
</caption>
<graphic xlink:href="fsufs-09-1632170-g002.tif" mimetype="image" mime-subtype="tiff">
<alt-text content-type="machine-generated">Bar chart showing average marginal effects of credit access types. The bar for informal credit access is longer, indicating a greater effect compared to formal credit access. Error bars indicate variability.</alt-text>
</graphic>
</fig>
<p>First, speed and zero bureaucracy: rotating savings associations, relatives, or village money-lenders can approve a loan within hours of a handshake, allowing farmers to seize fleeting selling windows on E-Commerce platforms. Second, trust-based flexibility: repayment terms can be renegotiated immediately after a harvest shock or delivery delay, sharply reducing the liquidity risk that deters many online sellers. Third, low-transaction-cost complementarity: informal lenders often double as agricultural wholesalers or E-Commerce brokers; a single visit simultaneously secures credit, packaging materials, and shipping contacts-services that formal banks neither provide nor understand. Consequently, informal credit acts as a fast source of working capital bundled with micro-consulting, making it the preferred springboard for farmers entering E-Commerce markets.</p>
</sec>
<sec id="sec18">
<label>4.2</label>
<title>Robustness test</title>
<sec id="sec19">
<label>4.2.1</label>
<title>Replacement model</title>
<p>In order to test the robustness of the above results, this paper adopts the binary Logit model for re-estimation, and the results are shown in <xref ref-type="table" rid="tab4">Table 4</xref>. The results show that credit access, formal credit access and informal credit access still have significant positive effects on farmers&#x2019; E-Commerce participation, and informal credit access is more able to promote farmers&#x2019; E-Commerce participation, which supports the robustness of the previous results.</p>
<table-wrap position="float" id="tab4">
<label>Table 4</label>
<caption>
<p>Robustness tests&#x2014;replacement models.</p>
</caption>
<table frame="hsides" rules="groups">
<thead>
<tr>
<th align="left" valign="top" rowspan="2">Variable name</th>
<th align="center" valign="top" colspan="2">(1)</th>
<th align="center" valign="top" colspan="2">(2)</th>
<th align="center" valign="top" colspan="2">(3)</th>
</tr>
<tr>
<th align="center" valign="top">Coefficient</th>
<th align="center" valign="top">Marginal effect</th>
<th align="center" valign="top">Coefficient</th>
<th align="center" valign="top">Marginal effect</th>
<th align="center" valign="top">Coefficient</th>
<th align="center" valign="top">Marginal effect</th>
</tr>
</thead>
<tbody>
<tr>
<td align="left" valign="middle">Credit access</td>
<td align="center" valign="middle">1.231&#x002A;&#x002A;&#x002A; (0.176)</td>
<td align="center" valign="middle">0.081&#x002A;&#x002A;&#x002A; (0.012)</td>
<td/>
<td/>
<td/>
<td/>
</tr>
<tr>
<td align="left" valign="middle">Formal credit access</td>
<td/>
<td/>
<td align="center" valign="middle">0.981&#x002A;&#x002A;&#x002A; (0.161)</td>
<td align="center" valign="middle">0.065&#x002A;&#x002A;&#x002A; (0.011)</td>
<td/>
<td/>
</tr>
<tr>
<td align="left" valign="middle">Informal credit access</td>
<td/>
<td/>
<td/>
<td/>
<td align="center" valign="middle">1.437&#x002A;&#x002A;&#x002A; (0.180)</td>
<td align="center" valign="middle">0.095&#x002A;&#x002A;&#x002A; (0.012)</td>
</tr>
<tr>
<td align="left" valign="middle">Gender</td>
<td align="center" valign="middle">0.185 (0.362)</td>
<td align="center" valign="middle">0.012 (0.023)</td>
<td align="center" valign="middle">0.171 (0.360)</td>
<td align="center" valign="middle">0.011 (0.023)</td>
<td align="center" valign="middle">0.130 (0.358)</td>
<td align="center" valign="middle">0.009 (0.024)</td>
</tr>
<tr>
<td align="left" valign="middle">Age</td>
<td align="center" valign="middle">&#x2212;0.031&#x002A;&#x002A;&#x002A; (0.008)</td>
<td align="center" valign="middle">&#x2212;0.002&#x002A;&#x002A;&#x002A; (0.001)</td>
<td align="center" valign="middle">&#x2212;0.032&#x002A;&#x002A;&#x002A; (0.008)</td>
<td align="center" valign="middle">&#x2212;0.002&#x002A;&#x002A;&#x002A; (0.001)</td>
<td align="center" valign="middle">&#x2212;0.038&#x002A;&#x002A;&#x002A; (0.008)</td>
<td align="center" valign="middle">&#x2212;0.003&#x002A;&#x002A;&#x002A; (0.001)</td>
</tr>
<tr>
<td align="left" valign="middle">Marital status</td>
<td align="center" valign="middle">0.382 (0.400)</td>
<td align="center" valign="middle">0.025 (0.026)</td>
<td align="center" valign="middle">0.386 (0.399)</td>
<td align="center" valign="middle">0.026 (0.027)</td>
<td align="center" valign="middle">0.437 (0.402)</td>
<td align="center" valign="middle">0.029 (0.027)</td>
</tr>
<tr>
<td align="left" valign="middle">Educational level</td>
<td align="center" valign="middle">0.263&#x002A; (0.144)</td>
<td align="center" valign="middle">0.017&#x002A; (0.009)</td>
<td align="center" valign="middle">0.240&#x002A; (0.142)</td>
<td align="center" valign="middle">0.016&#x002A; (0.009)</td>
<td align="center" valign="middle">0.299&#x002A;&#x002A;&#x002A; (0.142)</td>
<td align="center" valign="middle">0.020&#x002A;&#x002A; (0.009)</td>
</tr>
<tr>
<td align="left" valign="middle">Political profile</td>
<td align="center" valign="middle">0.379&#x002A;&#x002A; (0.182)</td>
<td align="center" valign="middle">0.025&#x002A;&#x002A; (0.012)</td>
<td align="center" valign="middle">0.337&#x002A; (0.181)</td>
<td align="center" valign="middle">0.022&#x002A; (0.012)</td>
<td align="center" valign="middle">0.565&#x002A;&#x002A;&#x002A; (0.186)</td>
<td align="center" valign="middle">0.037&#x002A;&#x002A;&#x002A; (0.012)</td>
</tr>
<tr>
<td align="left" valign="middle">Health status</td>
<td align="center" valign="middle">0.096 (0.081)</td>
<td align="center" valign="middle">0.006 (0.005)</td>
<td align="center" valign="middle">0.069 (0.080)</td>
<td align="center" valign="middle">0.005 (0.005)</td>
<td align="center" valign="middle">0.120 (0.080)</td>
<td align="center" valign="middle">0.008 (0.005)</td>
</tr>
<tr>
<td align="left" valign="middle">Number of family labourers</td>
<td align="center" valign="middle">0.164&#x002A;&#x002A; (0.071)</td>
<td align="center" valign="middle">0.011&#x002A;&#x002A; (0.005)</td>
<td align="center" valign="middle">0.173&#x002A;&#x002A; (0.071)</td>
<td align="center" valign="middle">0.012&#x002A;&#x002A; (0.005)</td>
<td align="center" valign="middle">0.170&#x002A;&#x002A; (0.070)</td>
<td align="center" valign="middle">0.011&#x002A;&#x002A; (0.005)</td>
</tr>
<tr>
<td align="left" valign="middle">Family economic situation</td>
<td align="center" valign="middle">0.188 (0.145)</td>
<td align="center" valign="middle">0.012 (0.010)</td>
<td align="center" valign="middle">0.143 (0.147)</td>
<td align="center" valign="middle">0.010 (0.010)</td>
<td align="center" valign="middle">0.242 (0.149)</td>
<td align="center" valign="middle">0.016 (0.010)</td>
</tr>
<tr>
<td align="left" valign="middle">Family social capital</td>
<td align="center" valign="middle">0.526 (0.445)</td>
<td align="center" valign="middle">0.035 (0.029)</td>
<td align="center" valign="middle">0.516 (0.443)</td>
<td align="center" valign="middle">0.034 (0.030)</td>
<td align="center" valign="middle">0.446 (0.449)</td>
<td align="center" valign="middle">0.029 (0.030)</td>
</tr>
<tr>
<td align="left" valign="middle">Village topography</td>
<td align="center" valign="middle">&#x2212;0.115&#x002A; (0.066)</td>
<td align="center" valign="middle">&#x2212;0.008&#x002A;&#x002A; (0.004)</td>
<td align="center" valign="middle">&#x2212;0.108 (0.066)</td>
<td align="center" valign="middle">&#x2212;0.007&#x002A; (0.004)</td>
<td align="center" valign="middle">&#x2212;0.121&#x002A;&#x002A; (0.067)</td>
<td align="center" valign="middle">&#x2212;0.008&#x002A;&#x002A; (0.004)</td>
</tr>
<tr>
<td align="left" valign="middle">Village transport conditions</td>
<td align="center" valign="middle">&#x2212;0.013&#x002A;&#x002A;&#x002A; (0.005)</td>
<td align="center" valign="middle">&#x2212;0.001&#x002A;&#x002A;&#x002A; (0.000)</td>
<td align="center" valign="middle">&#x2212;0.010&#x002A;&#x002A; (0.005)</td>
<td align="center" valign="middle">&#x2212;0.001&#x002A;&#x002A;&#x002A; (0.000)</td>
<td align="center" valign="middle">&#x2212;0.018&#x002A;&#x002A;&#x002A; (0.006)</td>
<td align="center" valign="middle">&#x2212;0.001&#x002A;&#x002A;&#x002A; (0.000)</td>
</tr>
<tr>
<td align="left" valign="middle">Economic level of villages</td>
<td align="center" valign="middle">0.227&#x002A;&#x002A; (0.089)</td>
<td align="center" valign="middle">0.015&#x002A;&#x002A; (0.006)</td>
<td align="center" valign="middle">0.210&#x002A;&#x002A; (0.088)</td>
<td align="center" valign="middle">0.014&#x002A;&#x002A; (0.006)</td>
<td align="center" valign="middle">0.225&#x002A;&#x002A; (0.089)</td>
<td align="center" valign="middle">0.015&#x002A;&#x002A; (0.006)</td>
</tr>
<tr>
<td align="left" valign="middle">Regional economic level</td>
<td align="center" valign="middle">0.054&#x002A;&#x002A; (0.027)</td>
<td align="center" valign="middle">0.004&#x002A;&#x002A; (0.002)</td>
<td align="center" valign="middle">0.051&#x002A; (0.026)</td>
<td align="center" valign="middle">0.003 (0.002)</td>
<td align="center" valign="middle">0.059&#x002A;&#x002A; (0.027)</td>
<td align="center" valign="middle">0.004&#x002A;&#x002A; (0.002)</td>
</tr>
<tr>
<td align="left" valign="middle">Constant term</td>
<td align="center" valign="middle">&#x2212;3.532&#x002A;&#x002A;&#x002A; (0.803)</td>
<td/>
<td align="center" valign="middle">&#x2212;3.073&#x002A;&#x002A;&#x002A; (0.794)</td>
<td/>
<td align="center" valign="middle">&#x2212;2.919&#x002A;&#x002A;&#x002A; (0.790)</td>
<td/>
</tr>
<tr>
<td align="left" valign="middle">Pseudo R<sup>2</sup></td>
<td align="center" valign="middle">0.116</td>
<td/>
<td align="center" valign="middle">0.105</td>
<td/>
<td align="center" valign="middle">0.121</td>
<td/>
</tr>
<tr>
<td align="left" valign="middle"><italic>N</italic></td>
<td align="center" valign="middle">2,557</td>
<td align="center" valign="middle">2,557</td>
<td align="center" valign="middle">2,557</td>
<td align="center" valign="middle">2,557</td>
<td align="center" valign="middle">2,557</td>
<td align="center" valign="middle">2,557</td>
</tr>
</tbody>
</table>
</table-wrap>
</sec>
<sec id="sec20">
<label>4.2.2</label>
<title>Replacement variables</title>
<p>In addition to replacing the model, this paper further conducts robustness tests by replacing the variables. The amount of credit can reflect the degree of credit access of farmers. Therefore, this paper adopts total credit amount, formal credit amount, and informal credit amount to measure credit access, formal credit access, and informal credit access, respectively, and re-runs the regression analysis, and the results are shown in <xref ref-type="table" rid="tab5">Table 5</xref>. The results show that after replacing the variables, credit access, formal credit access and informal credit access still have a significant positive effect on farmers&#x2019; E-Commerce participation, and informal credit access is more likely to promote farmers&#x2019; E-Commerce participation, which supports the robustness of the previous results.</p>
<table-wrap position="float" id="tab5">
<label>Table 5</label>
<caption>
<p>Robustness tests&#x2014;replacement variables.</p>
</caption>
<table frame="hsides" rules="groups">
<thead>
<tr>
<th align="left" valign="top" rowspan="2">Variable name</th>
<th align="center" valign="top" colspan="2">(1)</th>
<th align="center" valign="top" colspan="2">(2)</th>
<th align="center" valign="top" colspan="2">(3)</th>
</tr>
<tr>
<th align="center" valign="top">Coefficient</th>
<th align="center" valign="top">Marginal effect</th>
<th align="center" valign="top">Coefficient</th>
<th align="center" valign="top">Marginal effect</th>
<th align="center" valign="top">Coefficient</th>
<th align="center" valign="top">Marginal effect</th>
</tr>
</thead>
<tbody>
<tr>
<td align="left" valign="middle">Credit access</td>
<td align="center" valign="middle">0.283&#x002A;&#x002A;&#x002A; (0.048)</td>
<td align="center" valign="middle">0.035&#x002A;&#x002A;&#x002A; (0.006)</td>
<td/>
<td/>
<td/>
<td/>
</tr>
<tr>
<td align="left" valign="middle">Formal credit access</td>
<td/>
<td/>
<td align="center" valign="middle">0.252&#x002A;&#x002A;&#x002A; (0.047)</td>
<td align="center" valign="middle">0.031&#x002A;&#x002A;&#x002A; (0.006)</td>
<td/>
<td/>
</tr>
<tr>
<td align="left" valign="middle">Informal credit access</td>
<td/>
<td/>
<td/>
<td/>
<td align="center" valign="middle">0.775&#x002A;&#x002A;&#x002A; (0.122)</td>
<td align="center" valign="middle">0.095&#x002A;&#x002A;&#x002A; (0.015)</td>
</tr>
<tr>
<td align="left" valign="middle">Gender</td>
<td align="center" valign="middle">0.115 (0.189)</td>
<td align="center" valign="middle">0.014 (0.023)</td>
<td align="center" valign="middle">0.115 (0.189)</td>
<td align="center" valign="middle">0.014 (0.023)</td>
<td align="center" valign="middle">0.077 (0.185)</td>
<td align="center" valign="middle">0.009 (0.022)</td>
</tr>
<tr>
<td align="left" valign="middle">Age</td>
<td align="center" valign="middle">&#x2212;0.018&#x002A;&#x002A;&#x002A; (0.004)</td>
<td align="center" valign="middle">&#x2212;0.002&#x002A;&#x002A;&#x002A; (0.004)</td>
<td align="center" valign="middle">&#x2212;0.018&#x002A;&#x002A;&#x002A; (0.004)</td>
<td align="center" valign="middle">&#x2212;0.002&#x002A;&#x002A;&#x002A; (0.000)</td>
<td align="center" valign="middle">&#x2212;0.021&#x002A;&#x002A;&#x002A; (0.004)</td>
<td align="center" valign="middle">&#x2212;0.003&#x002A;&#x002A;&#x002A; (0.000)</td>
</tr>
<tr>
<td align="left" valign="middle">Marital status</td>
<td align="center" valign="middle">0.314 (0.204)</td>
<td align="center" valign="middle">0.038 (0.025)</td>
<td align="center" valign="middle">0.309 (0.203)</td>
<td align="center" valign="middle">0.038 (0.025)</td>
<td align="center" valign="middle">0.361&#x002A; (0.206)</td>
<td align="center" valign="middle">0.044&#x002A; (0.025)</td>
</tr>
<tr>
<td align="left" valign="middle">Educational level</td>
<td align="center" valign="middle">0.132&#x002A; (0.077)</td>
<td align="center" valign="middle">0.016&#x002A; (0.009)</td>
<td align="center" valign="middle">0.133&#x002A; (0.077)</td>
<td align="center" valign="middle">0.016&#x002A; (0.009)</td>
<td align="center" valign="middle">0.174&#x002A;&#x002A; (0.077)</td>
<td align="center" valign="middle">0.021&#x002A;&#x002A; (0.009)</td>
</tr>
<tr>
<td align="left" valign="middle">Political profile</td>
<td align="center" valign="middle">0.172&#x002A; (0.093)</td>
<td align="center" valign="middle">0.021&#x002A; (0.011)</td>
<td align="center" valign="middle">0.172&#x002A; (0.092)</td>
<td align="center" valign="middle">0.021&#x002A; (0.011)</td>
<td align="center" valign="middle">0.222&#x002A;&#x002A; (0.093)</td>
<td align="center" valign="middle">0.027&#x002A;&#x002A; (0.011)</td>
</tr>
<tr>
<td align="left" valign="middle">Health status</td>
<td align="center" valign="middle">0.038 (0.041)</td>
<td align="center" valign="middle">0.005 (0.005)</td>
<td align="center" valign="middle">0.034 (0.041)</td>
<td align="center" valign="middle">0.004 (0.004)</td>
<td align="center" valign="middle">0.065 (0.041)</td>
<td align="center" valign="middle">0.008 (0.005)</td>
</tr>
<tr>
<td align="left" valign="middle">Number of family labourers</td>
<td align="center" valign="middle">0.072&#x002A;&#x002A; (0.036)</td>
<td align="center" valign="middle">0.009&#x002A;&#x002A; (0.004)</td>
<td align="center" valign="middle">0.074&#x002A;&#x002A; (0.036)</td>
<td align="center" valign="middle">0.009&#x002A;&#x002A; (0.004)</td>
<td align="center" valign="middle">0.070&#x002A;&#x002A; (0.036)</td>
<td align="center" valign="middle">0.009&#x002A;&#x002A; (0.004)</td>
</tr>
<tr>
<td align="left" valign="middle">Family economic situation</td>
<td align="center" valign="middle">0.089 (0.061)</td>
<td align="center" valign="middle">0.011 (0.007)</td>
<td align="center" valign="middle">0.084 (0.061)</td>
<td align="center" valign="middle">0.010 (0.007)</td>
<td align="center" valign="middle">0.124&#x002A;&#x002A; (0.061)</td>
<td align="center" valign="middle">0.015&#x002A;&#x002A; (0.007)</td>
</tr>
<tr>
<td align="left" valign="middle">Family social capital</td>
<td align="center" valign="middle">0.142 (0.202)</td>
<td align="center" valign="middle">0.017 (0.025)</td>
<td align="center" valign="middle">0.142 (0.202)</td>
<td align="center" valign="middle">0.017 (0.025)</td>
<td align="center" valign="middle">0.165 (0.205)</td>
<td align="center" valign="middle">0.020 (0.025)</td>
</tr>
<tr>
<td align="left" valign="middle">Village topography</td>
<td align="center" valign="middle">&#x2212;0.062&#x002A; (0.032)</td>
<td align="center" valign="middle">&#x2212;0.008&#x002A;&#x002A; (0.004)</td>
<td align="center" valign="middle">&#x2212;0.062&#x002A; (0.032)</td>
<td align="center" valign="middle">&#x2212;0.008&#x002A;&#x002A; (0.004)</td>
<td align="center" valign="middle">&#x2212;0.055 (0.033)</td>
<td align="center" valign="middle">&#x2212;0.006 (0.004)</td>
</tr>
<tr>
<td align="left" valign="middle">Village transport conditions</td>
<td align="center" valign="middle">&#x2212;0.006&#x002A;&#x002A; (0.003)</td>
<td align="center" valign="middle">&#x2212;0.001&#x002A;&#x002A;&#x002A; (0.000)</td>
<td align="center" valign="middle">&#x2212;0.006&#x002A;&#x002A; (0.003)</td>
<td align="center" valign="middle">&#x2212;0.001&#x002A;&#x002A;&#x002A; (0.000)</td>
<td align="center" valign="middle">&#x2212;0.006&#x002A;&#x002A; (0.003)</td>
<td align="center" valign="middle">&#x2212;0.001&#x002A;&#x002A;&#x002A; (0.000)</td>
</tr>
<tr>
<td align="left" valign="middle">Economic level of villages</td>
<td align="center" valign="middle">0.144&#x002A;&#x002A;&#x002A; (0.051)</td>
<td align="center" valign="middle">0.018&#x002A;&#x002A;&#x002A; (0.000)</td>
<td align="center" valign="middle">0.145&#x002A;&#x002A;&#x002A; (0.050)</td>
<td align="center" valign="middle">0.018&#x002A;&#x002A;&#x002A; (0.006)</td>
<td align="center" valign="middle">0.161&#x002A;&#x002A;&#x002A; (0.050)</td>
<td align="center" valign="middle">0.020&#x002A;&#x002A;&#x002A; (0.006)</td>
</tr>
<tr>
<td align="left" valign="middle">Regional economic level</td>
<td align="center" valign="middle">0.039&#x002A;&#x002A;&#x002A; (0.014)</td>
<td align="center" valign="middle">0.004&#x002A;&#x002A; (0.002)</td>
<td align="center" valign="middle">0.039&#x002A;&#x002A;&#x002A; (0.014)</td>
<td align="center" valign="middle">0.005&#x002A;&#x002A; (0.002)</td>
<td align="center" valign="middle">0.041&#x002A;&#x002A;&#x002A; (0.014)</td>
<td align="center" valign="middle">0.005&#x002A;&#x002A; (0.002)</td>
</tr>
<tr>
<td align="left" valign="middle">Constant term</td>
<td align="center" valign="middle">&#x2212;1.890&#x002A;&#x002A;&#x002A; (0.398)</td>
<td/>
<td align="center" valign="middle">&#x2212;1.809&#x002A;&#x002A;&#x002A; (0.396)</td>
<td/>
<td align="center" valign="middle">&#x2212;1.854&#x002A;&#x002A;&#x002A; (0.393)</td>
<td/>
</tr>
<tr>
<td align="left" valign="middle">Pseudo R<sup>2</sup></td>
<td align="center" valign="middle">0.122</td>
<td/>
<td align="center" valign="middle">0.118</td>
<td/>
<td align="center" valign="middle">0.127</td>
<td/>
</tr>
<tr>
<td align="left" valign="middle"><italic>N</italic></td>
<td align="center" valign="middle">2,557</td>
<td align="center" valign="middle">2,557</td>
<td align="center" valign="middle">2,557</td>
<td align="center" valign="middle">2,557</td>
<td align="center" valign="middle">2,557</td>
<td align="center" valign="middle">2,557</td>
</tr>
</tbody>
</table>
</table-wrap>
</sec>
<sec id="sec21">
<label>4.2.3</label>
<title>Exclusion sample</title>
<p>Considering the special characteristics of farmers under 16 and over 64&#x202F;years old in terms of physical ability and health status, according to the judgment standard of full labour force, this paper only retains the sample of farmers aged 16&#x2013;64 with labour capacity and re-estimates it (<xref ref-type="bibr" rid="ref34">Qiu et al., 2024a</xref>, <xref ref-type="bibr" rid="ref33">2024b</xref>), and the results are shown in <xref ref-type="table" rid="tab6">Table 6</xref>. The results show that after deleting part of the sample, credit access, formal credit access and informal credit access still have a significant positive impact on farmers&#x2019; E-Commerce participation, and informal credit access is more able to promote farmers&#x2019; E-Commerce participation, further verifying the robustness of the previous results.</p>
<table-wrap position="float" id="tab6">
<label>Table 6</label>
<caption>
<p>Robustness tests&#x2014;exclusion samples.</p>
</caption>
<table frame="hsides" rules="groups">
<thead>
<tr>
<th align="left" valign="top" rowspan="2">Variable name</th>
<th align="center" valign="top" colspan="2">(1)</th>
<th align="center" valign="top" colspan="2">(2)</th>
<th align="center" valign="top" colspan="2">(3)</th>
</tr>
<tr>
<th align="center" valign="top">Coefficient</th>
<th align="center" valign="top">Marginal effect</th>
<th align="center" valign="top">Coefficient</th>
<th align="center" valign="top">Marginal effect</th>
<th align="center" valign="top">Coefficient</th>
<th align="center" valign="top">Marginal effect</th>
</tr>
</thead>
<tbody>
<tr>
<td align="left" valign="middle">Credit access</td>
<td align="center" valign="middle">0.417&#x002A;&#x002A;&#x002A; (0.092)</td>
<td align="center" valign="middle">0.058&#x002A;&#x002A;&#x002A; (0.013)</td>
<td/>
<td/>
<td/>
<td/>
</tr>
<tr>
<td align="left" valign="middle">Formal credit access</td>
<td/>
<td/>
<td align="center" valign="middle">0.314&#x002A;&#x002A;&#x002A; (0.089)</td>
<td align="center" valign="middle">0.044&#x002A;&#x002A;&#x002A; (0.013)</td>
<td/>
<td/>
</tr>
<tr>
<td align="left" valign="middle">Informal credit access</td>
<td/>
<td/>
<td/>
<td/>
<td align="center" valign="middle">0.456&#x002A;&#x002A;&#x002A; (0.086)</td>
<td align="center" valign="middle">0.063&#x002A;&#x002A;&#x002A; (0.012)</td>
</tr>
<tr>
<td align="left" valign="middle">Gender</td>
<td align="center" valign="middle">0.108 (0.203)</td>
<td align="center" valign="middle">0.015 (0.028)</td>
<td align="center" valign="middle">0.108 (0.205)</td>
<td align="center" valign="middle">0.015 (0.028)</td>
<td align="center" valign="middle">0.086 (0.200)</td>
<td align="center" valign="middle">0.012 (0.028)</td>
</tr>
<tr>
<td align="left" valign="middle">Age</td>
<td align="center" valign="middle">&#x2212;0.013&#x002A;&#x002A; (0.005)</td>
<td align="center" valign="middle">&#x2212;0.002&#x002A;&#x002A; (0.001)</td>
<td align="center" valign="middle">&#x2212;0.014&#x002A;&#x002A; (0.005)</td>
<td align="center" valign="middle">&#x2212;0.002&#x002A;&#x002A; (0.001)</td>
<td align="center" valign="middle">&#x2212;0.015&#x002A;&#x002A;&#x002A; (0.005)</td>
<td align="center" valign="middle">&#x2212;0.002&#x002A;&#x002A; (0.001)</td>
</tr>
<tr>
<td align="left" valign="middle">Marital status</td>
<td align="center" valign="middle">0.493&#x002A; (0.258)</td>
<td align="center" valign="middle">0.068&#x002A; (0.036)</td>
<td align="center" valign="middle">0.481&#x002A; (0.260)</td>
<td align="center" valign="middle">0.066&#x002A; (0.036)</td>
<td align="center" valign="middle">0.533&#x002A;&#x002A; (0.256)</td>
<td align="center" valign="middle">0.074&#x002A;&#x002A; (0.036)</td>
</tr>
<tr>
<td align="left" valign="middle">Educational level</td>
<td align="center" valign="middle">0.138&#x002A; (0.080)</td>
<td align="center" valign="middle">0.019&#x002A; (0.011)</td>
<td align="center" valign="middle">0.127 (0.080)</td>
<td align="center" valign="middle">0.018 (0.011)</td>
<td align="center" valign="middle">0.149&#x002A; (0.079)</td>
<td align="center" valign="middle">0.021&#x002A; (0.011)</td>
</tr>
<tr>
<td align="left" valign="middle">Political profile</td>
<td align="center" valign="middle">0.210&#x002A;&#x002A; (0.101)</td>
<td align="center" valign="middle">0.029&#x002A;&#x002A; (0.014)</td>
<td align="center" valign="middle">0.203&#x002A;&#x002A; (0.101)</td>
<td align="center" valign="middle">0.028&#x002A;&#x002A; (0.014)</td>
<td align="center" valign="middle">0.242&#x002A;&#x002A; (0.100)</td>
<td align="center" valign="middle">0.034&#x002A;&#x002A; (0.014)</td>
</tr>
<tr>
<td align="left" valign="middle">Health status</td>
<td align="center" valign="middle">0.043 (0.044)</td>
<td align="center" valign="middle">0.006 (0.006)</td>
<td align="center" valign="middle">0.037 (0.044)</td>
<td align="center" valign="middle">0.005 (0.007)</td>
<td align="center" valign="middle">0.041 (0.044)</td>
<td align="center" valign="middle">0.006 (0.006)</td>
</tr>
<tr>
<td align="left" valign="middle">Number of family labourers</td>
<td align="center" valign="middle">0.030 (0.049)</td>
<td align="center" valign="middle">0.004 (0.006)</td>
<td align="center" valign="middle">0.038 (0.049)</td>
<td align="center" valign="middle">0.005 (0.006)</td>
<td align="center" valign="middle">0.031 (0.049)</td>
<td align="center" valign="middle">0.004 (0.007)</td>
</tr>
<tr>
<td align="left" valign="middle">Family economic situation</td>
<td align="center" valign="middle">0.200&#x002A;&#x002A; (0.079)</td>
<td align="center" valign="middle">0.028&#x002A;&#x002A; (0.011)</td>
<td align="center" valign="middle">0.176&#x002A;&#x002A; (0.079)</td>
<td align="center" valign="middle">0.024&#x002A;&#x002A; (0.011)</td>
<td align="center" valign="middle">0.203&#x002A;&#x002A; (0.080)</td>
<td align="center" valign="middle">0.028&#x002A;&#x002A; (0.011)</td>
</tr>
<tr>
<td align="left" valign="middle">Family social capital</td>
<td align="center" valign="middle">0.063 (0.190)</td>
<td align="center" valign="middle">0.009 (0.026)</td>
<td align="center" valign="middle">0.062 (0.191)</td>
<td align="center" valign="middle">0.009 (0.026)</td>
<td align="center" valign="middle">0.072 (0.192)</td>
<td align="center" valign="middle">0.010 (0.027)</td>
</tr>
<tr>
<td align="left" valign="middle">Village topography</td>
<td align="center" valign="middle">&#x2212;0.046 (0.036)</td>
<td align="center" valign="middle">&#x2212;0.006 (0.005)</td>
<td align="center" valign="middle">&#x2212;0.059 (0.036)</td>
<td align="center" valign="middle">&#x2212;0.008 (0.005)</td>
<td align="center" valign="middle">&#x2212;0.041 (0.036)</td>
<td align="center" valign="middle">&#x2212;0.006 (0.005)</td>
</tr>
<tr>
<td align="left" valign="middle">Village transport conditions</td>
<td align="center" valign="middle">&#x2212;0.001 (0.003)</td>
<td align="center" valign="middle">&#x2212;0.000 (0.000)</td>
<td align="center" valign="middle">&#x2212;0.001 (0.003)</td>
<td align="center" valign="middle">&#x2212;0.000 (0.000)</td>
<td align="center" valign="middle">&#x2212;0.001 (0.003)</td>
<td align="center" valign="middle">&#x2212;0.000 (0.000)</td>
</tr>
<tr>
<td align="left" valign="middle">Economic level of villages</td>
<td align="center" valign="middle">0.156&#x002A;&#x002A;&#x002A; (0.053)</td>
<td align="center" valign="middle">0.022&#x002A;&#x002A;&#x002A; (0.007)</td>
<td align="center" valign="middle">0.154&#x002A;&#x002A;&#x002A; (0.054)</td>
<td align="center" valign="middle">0.021&#x002A;&#x002A;&#x002A; (0.007)</td>
<td align="center" valign="middle">0.152&#x002A;&#x002A;&#x002A; (0.053)</td>
<td align="center" valign="middle">&#x2212;0.021&#x002A;&#x002A;&#x002A; (0.007)</td>
</tr>
<tr>
<td align="left" valign="middle">Regional economic level</td>
<td align="center" valign="middle">0.033&#x002A; (0.017)</td>
<td align="center" valign="middle">0.005&#x002A;&#x002A; (0.002)</td>
<td align="center" valign="middle">0.031&#x002A; (0.017)</td>
<td align="center" valign="middle">0.004&#x002A;&#x002A; (0.002)</td>
<td align="center" valign="middle">0.032&#x002A;&#x002A; (0.016)</td>
<td align="center" valign="middle">0.004&#x002A;&#x002A; (0.002)</td>
</tr>
<tr>
<td align="left" valign="middle">Constant term</td>
<td align="center" valign="middle">&#x2212;2.438&#x002A;&#x002A;&#x002A; (0.477)</td>
<td/>
<td align="center" valign="middle">&#x2212;2.292&#x002A;&#x002A;&#x002A; (0.472)</td>
<td/>
<td align="center" valign="middle">&#x2212;2.200&#x002A;&#x002A;&#x002A; (0.468)</td>
<td/>
</tr>
<tr>
<td align="left" valign="middle">Pseudo R<sup>2</sup></td>
<td align="center" valign="middle">0.085</td>
<td/>
<td align="center" valign="middle">0.092</td>
<td/>
<td align="center" valign="middle">0.078</td>
<td/>
</tr>
<tr>
<td align="left" valign="middle"><italic>N</italic></td>
<td align="center" valign="middle">2,089</td>
<td align="center" valign="middle">2,089</td>
<td align="center" valign="middle">2,089</td>
<td align="center" valign="middle">2,089</td>
<td align="center" valign="middle">2,089</td>
<td align="center" valign="middle">2,089</td>
</tr>
</tbody>
</table>
</table-wrap>
</sec>
</sec>
<sec id="sec22">
<label>4.3</label>
<title>Endogeneity test</title>
<sec id="sec23">
<label>4.3.1</label>
<title>Self-selection bias</title>
<p>Considering that credit access belongs to the self-selected behaviour of farmers, the previous model may have the endogeneity problem caused by self-selection bias, which can be effectively solved by the Propensity Score Matching (PSM) method. Therefore, this paper adopts Propensity Score Matching (PSM) to re-estimate and get the average treatment effect (ATT) of the impact of credit access on farmers&#x2019; E-Commerce participation, and the results are shown in <xref ref-type="table" rid="tab7">Table 7</xref>. The results show that credit access, formal credit access, and informal credit access have significant positive effects on farmers&#x2019; E-Commerce participation, and informal credit access has a greater effect on farmers&#x2019; E-Commerce participation, regardless of whether it is estimated using propensity score matching methods such as nearest-neighbour matching method, caliper matching method, kernel matching method, local linear regression matching, spline matching method, or Mahalanobis matching method.</p>
<table-wrap position="float" id="tab7">
<label>Table 7</label>
<caption>
<p>PSM estimation results of credit access on farmers&#x2019; E-Commerce participation.</p>
</caption>
<table frame="hsides" rules="groups">
<thead>
<tr>
<th align="left" valign="top" rowspan="2">Variable name</th>
<th align="center" valign="top" colspan="3">Credit access</th>
<th align="center" valign="top" colspan="3">Formal credit access</th>
<th align="center" valign="top" colspan="3">Informal credit access</th>
</tr>
<tr>
<th align="center" valign="top">Treated</th>
<th align="center" valign="top">Controls</th>
<th align="center" valign="top">ATT</th>
<th align="center" valign="top">Treated</th>
<th align="center" valign="top">Controls</th>
<th align="center" valign="top">ATT</th>
<th align="center" valign="top">Treated</th>
<th align="center" valign="top">Controls</th>
<th align="center" valign="top">ATT</th>
</tr>
</thead>
<tbody>
<tr>
<td align="left" valign="middle">Nearest neighbor matching</td>
<td align="char" valign="middle" char=".">0.119</td>
<td align="char" valign="middle" char=".">0.044</td>
<td align="char" valign="middle" char=".">0.075&#x002A;&#x002A;&#x002A;</td>
<td align="char" valign="middle" char=".">0.131</td>
<td align="char" valign="middle" char=".">0.048</td>
<td align="char" valign="middle" char=".">0.083&#x002A;&#x002A;&#x002A;</td>
<td align="char" valign="middle" char=".">0.143</td>
<td align="char" valign="middle" char=".">0.053</td>
<td align="char" valign="middle" char=".">0.090&#x002A;&#x002A;&#x002A;</td>
</tr>
<tr>
<td align="left" valign="middle">Caliper matching</td>
<td align="char" valign="middle" char=".">0.119</td>
<td align="char" valign="middle" char=".">0.040</td>
<td align="char" valign="middle" char=".">0.079&#x002A;&#x002A;&#x002A;</td>
<td align="char" valign="middle" char=".">0.131</td>
<td align="char" valign="middle" char=".">0.047</td>
<td align="char" valign="middle" char=".">0.084&#x002A;&#x002A;&#x002A;</td>
<td align="char" valign="middle" char=".">0.143</td>
<td align="char" valign="middle" char=".">0.060</td>
<td align="char" valign="middle" char=".">0.084&#x002A;&#x002A;&#x002A;</td>
</tr>
<tr>
<td align="left" valign="middle">Kernel matching</td>
<td align="char" valign="middle" char=".">0.119</td>
<td align="char" valign="middle" char=".">0.050</td>
<td align="char" valign="middle" char=".">0.069&#x002A;&#x002A;&#x002A;</td>
<td align="char" valign="middle" char=".">0.131</td>
<td align="char" valign="middle" char=".">0.060</td>
<td align="char" valign="middle" char=".">0.071&#x002A;&#x002A;&#x002A;</td>
<td align="char" valign="middle" char=".">0.143</td>
<td align="char" valign="middle" char=".">0.053</td>
<td align="char" valign="middle" char=".">0.090&#x002A;&#x002A;&#x002A;</td>
</tr>
<tr>
<td align="left" valign="middle">Local linear regression matching</td>
<td align="char" valign="middle" char=".">0.119</td>
<td align="char" valign="middle" char=".">0.051</td>
<td align="char" valign="middle" char=".">0.068&#x002A;&#x002A;&#x002A;</td>
<td align="char" valign="middle" char=".">0.131</td>
<td align="char" valign="middle" char=".">0.059</td>
<td align="char" valign="middle" char=".">0.072&#x002A;&#x002A;&#x002A;</td>
<td align="char" valign="middle" char=".">0.143</td>
<td align="char" valign="middle" char=".">0.054</td>
<td align="char" valign="middle" char=".">0.089&#x002A;&#x002A;&#x002A;</td>
</tr>
<tr>
<td align="left" valign="middle">Spline matching</td>
<td align="char" valign="middle" char=".">0.119</td>
<td align="char" valign="middle" char=".">0.051</td>
<td align="char" valign="middle" char=".">0.068&#x002A;&#x002A;&#x002A;</td>
<td align="char" valign="middle" char=".">0.131</td>
<td align="char" valign="middle" char=".">0.059</td>
<td align="char" valign="middle" char=".">0.072&#x002A;&#x002A;&#x002A;</td>
<td align="char" valign="middle" char=".">0.143</td>
<td align="char" valign="middle" char=".">0.054</td>
<td align="char" valign="middle" char=".">0.089&#x002A;&#x002A;&#x002A;</td>
</tr>
<tr>
<td align="left" valign="middle">Mahalanobis matching</td>
<td align="char" valign="middle" char=".">0.119</td>
<td align="char" valign="middle" char=".">0.037</td>
<td align="char" valign="middle" char=".">0.082&#x002A;&#x002A;&#x002A;</td>
<td align="char" valign="middle" char=".">0.131</td>
<td align="char" valign="middle" char=".">0.044</td>
<td align="char" valign="middle" char=".">0.087&#x002A;&#x002A;&#x002A;</td>
<td align="char" valign="middle" char=".">0.143</td>
<td align="char" valign="middle" char=".">0.051</td>
<td align="char" valign="middle" char=".">0.092&#x002A;&#x002A;&#x002A;</td>
</tr>
</tbody>
</table>
</table-wrap>
<p>The PSM model specification needs to satisfy the two prerequisites of overlap assumption and equilibrium properties (<xref ref-type="bibr" rid="ref7">Caliendo and Kopeinig, 2008</xref>). For the overlap assumption the public support domain needs to be tested and <xref ref-type="fig" rid="fig3">Figure 3</xref> shows the distribution of propensity scores for testing the public support domain. As can be seen from the figure, after matching, the credit access sample and the Non-credit access samples almost overlap in the propensity scores and there are large common support intervals, which suggests that the matching is more reasonable.</p>
<fig position="float" id="fig3">
<label>Figure 3</label>
<caption>
<p>Propensity score matching plot before and after matching. <bold>(a)</bold> Distribution of propensity scores before and after credit access matching. <bold>(b)</bold> Distribution of propensity scores before and after formal credit access matching. <bold>(c)</bold> Distribution of propensity scores before and after informal credit access matching.</p>
</caption>
<graphic xlink:href="fsufs-09-1632170-g003.tif" mimetype="image" mime-subtype="tiff">
<alt-text content-type="machine-generated">Graphs compare the distribution of propensity scores before and after matching. Panel a shows credit access matching, panel b shows formal credit access matching, and panel c shows informal credit access matching. Each panel includes two line graphs for treated and control groups before and after matching, illustrating changes in kernel density distributions.</alt-text>
</graphic>
</fig>
<p>In order to examine whether the above propensity score matching method balances the data better, a balance test is needed. Taking the nearest-neighbour matching method and credit access as an example, the test results are shown in <xref ref-type="table" rid="tab8">Table 8</xref>. The results show that compared with the pre-matching period, the standardised deviation rate of the control variables has basically been reduced after matching, and the standardised deviation rate is basically less than 10%. At the same time, the t-test results of most control variables do not reject the original hypothesis that there is no systematic difference between the experimental group and the control group, effectively balancing the differences in the distribution of covariates between the experimental group and the control group. Therefore, the propensity score matching results passed the balance test.</p>
<table-wrap position="float" id="tab8">
<label>Table 8</label>
<caption>
<p>Balance test results.</p>
</caption>
<table frame="hsides" rules="groups">
<thead>
<tr>
<th align="left" valign="top" rowspan="2">Variable name</th>
<th align="center" valign="top" colspan="2">Pre-match mean</th>
<th align="center" valign="top" colspan="2">Post-match mean</th>
<th align="center" valign="top" colspan="2">BIAS (%)</th>
<th align="center" valign="top" colspan="2">t-test</th>
</tr>
<tr>
<th align="center" valign="top">Treated</th>
<th align="center" valign="top">Control</th>
<th align="center" valign="top">Treated</th>
<th align="center" valign="top">Control</th>
<th align="center" valign="top">Pre-match</th>
<th align="center" valign="top">Post-match</th>
<th align="center" valign="top">t</th>
<th align="center" valign="top"><italic>p</italic>-value</th>
</tr>
</thead>
<tbody>
<tr>
<td align="left" valign="middle">Gender</td>
<td align="char" valign="middle" char=".">0.941</td>
<td align="char" valign="middle" char=".">0.937</td>
<td align="left" valign="middle">0.941</td>
<td align="left" valign="middle">0.941</td>
<td align="char" valign="middle" char=".">1.400</td>
<td align="char" valign="middle" char=".">0.000</td>
<td align="char" valign="middle" char=".">0.000</td>
<td align="char" valign="middle" char=".">1.000</td>
</tr>
<tr>
<td align="left" valign="middle">Age</td>
<td align="char" valign="middle" char=".">54.266</td>
<td align="char" valign="middle" char=".">59.660</td>
<td align="left" valign="middle">54.364</td>
<td align="left" valign="middle">53.955</td>
<td align="char" valign="middle" char=".">&#x2212;49.000</td>
<td align="char" valign="middle" char=".">&#x2212;3.700</td>
<td align="char" valign="middle" char=".">0.930</td>
<td align="char" valign="middle" char=".">0.352</td>
</tr>
<tr>
<td align="left" valign="middle">Marital status</td>
<td align="char" valign="middle" char=".">0.930</td>
<td align="char" valign="middle" char=".">0.904</td>
<td align="left" valign="middle">0.930</td>
<td align="left" valign="middle">0.913</td>
<td align="char" valign="middle" char=".">9.400</td>
<td align="char" valign="middle" char=".">6.000</td>
<td align="char" valign="middle" char=".">1.510</td>
<td align="char" valign="middle" char=".">0.131</td>
</tr>
<tr>
<td align="left" valign="middle">Educational level</td>
<td align="char" valign="middle" char=".">1.169</td>
<td align="char" valign="middle" char=".">1.176</td>
<td align="left" valign="middle">1.169</td>
<td align="left" valign="middle">1.205</td>
<td align="char" valign="middle" char=".">&#x2212;1.500</td>
<td align="char" valign="middle" char=".">&#x2212;8.000</td>
<td align="char" valign="middle" char=".">&#x2212;1.810</td>
<td align="char" valign="middle" char=".">0.071</td>
</tr>
<tr>
<td align="left" valign="middle">Political profile</td>
<td align="char" valign="middle" char=".">0.198</td>
<td align="char" valign="middle" char=".">0.216</td>
<td align="left" valign="middle">0.197</td>
<td align="left" valign="middle">0.213</td>
<td align="char" valign="middle" char=".">&#x2212;4.500</td>
<td align="char" valign="middle" char=".">&#x2212;4.100</td>
<td align="char" valign="middle" char=".">&#x2212;1.010</td>
<td align="char" valign="middle" char=".">0.314</td>
</tr>
<tr>
<td align="left" valign="middle">Health status</td>
<td align="char" valign="middle" char=".">3.497</td>
<td align="char" valign="middle" char=".">3.653</td>
<td align="left" valign="middle">3.495</td>
<td align="left" valign="middle">3.519</td>
<td align="char" valign="middle" char=".">&#x2212;15.500</td>
<td align="char" valign="middle" char=".">&#x2212;2.300</td>
<td align="char" valign="middle" char=".">&#x2212;0.540</td>
<td align="char" valign="middle" char=".">0.592</td>
</tr>
<tr>
<td align="left" valign="middle">Number of family labourers</td>
<td align="char" valign="middle" char=".">2.969</td>
<td align="char" valign="middle" char=".">2.601</td>
<td align="left" valign="middle">2.969</td>
<td align="left" valign="middle">3.016</td>
<td align="char" valign="middle" char=".">28.500</td>
<td align="char" valign="middle" char=".">&#x2212;3.600</td>
<td align="char" valign="middle" char=".">&#x2212;0.970</td>
<td align="char" valign="middle" char=".">0.331</td>
</tr>
<tr>
<td align="left" valign="middle">Family economic situation</td>
<td align="char" valign="middle" char=".">0.365</td>
<td align="char" valign="middle" char=".">0.490</td>
<td align="left" valign="middle">0.365</td>
<td align="left" valign="middle">0.430</td>
<td align="char" valign="middle" char=".">&#x2212;25.300</td>
<td align="char" valign="middle" char=".">&#x2212;13.00</td>
<td align="char" valign="middle" char=".">&#x2212;3.340</td>
<td align="char" valign="middle" char=".">0.001</td>
</tr>
<tr>
<td align="left" valign="middle">Family social capital</td>
<td align="char" valign="middle" char=".">0.050</td>
<td align="char" valign="middle" char=".">0.035</td>
<td align="left" valign="middle">0.050</td>
<td align="left" valign="middle">0.051</td>
<td align="char" valign="middle" char=".">11.200</td>
<td align="char" valign="middle" char=".">&#x2212;0.500</td>
<td align="char" valign="middle" char=".">&#x2212;0.120</td>
<td align="char" valign="middle" char=".">0.903</td>
</tr>
<tr>
<td align="left" valign="middle">Village topography</td>
<td align="char" valign="middle" char=".">2.518</td>
<td align="char" valign="middle" char=".">2.214</td>
<td align="left" valign="middle">2.512</td>
<td align="left" valign="middle">2.539</td>
<td align="char" valign="middle" char=".">23.000</td>
<td align="char" valign="middle" char=".">&#x2212;2.000</td>
<td align="char" valign="middle" char=".">&#x2212;0.480</td>
<td align="char" valign="middle" char=".">0.628</td>
</tr>
<tr>
<td align="left" valign="middle">Village transport conditions</td>
<td align="char" valign="middle" char=".">29.830</td>
<td align="char" valign="middle" char=".">23.432</td>
<td align="left" valign="middle">29.608</td>
<td align="left" valign="middle">30.728</td>
<td align="char" valign="middle" char=".">36.400</td>
<td align="char" valign="middle" char=".">&#x2212;6.400</td>
<td align="char" valign="middle" char=".">&#x2212;1.400</td>
<td align="char" valign="middle" char=".">0.160</td>
</tr>
<tr>
<td align="left" valign="middle">Economic level of villages</td>
<td align="char" valign="middle" char=".">1.343</td>
<td align="char" valign="middle" char=".">1.500</td>
<td align="left" valign="middle">1.345</td>
<td align="left" valign="middle">1.313</td>
<td align="char" valign="middle" char=".">&#x2212;16.800</td>
<td align="char" valign="middle" char=".">3.500</td>
<td align="char" valign="middle" char=".">0.950</td>
<td align="char" valign="middle" char=".">0.343</td>
</tr>
<tr>
<td align="left" valign="middle">Regional economic level</td>
<td align="char" valign="middle" char=".">5.587</td>
<td align="char" valign="middle" char=".">6.105</td>
<td align="left" valign="middle">5.594</td>
<td align="left" valign="middle">5.698</td>
<td align="char" valign="middle" char=".">&#x2212;16.800</td>
<td align="char" valign="middle" char=".">&#x2212;3.400</td>
<td align="char" valign="middle" char=".">&#x2212;0.830</td>
<td align="char" valign="middle" char=".">0.406</td>
</tr>
</tbody>
</table>
</table-wrap>
</sec>
<sec id="sec24">
<label>4.3.2</label>
<title>Reciprocal causation</title>
<p>In addition to self-selection bias, there may be a mutually causal endogeneity between credit access and farmers&#x2019; E-Commerce participation. On the one hand, farmers use credit access to alleviate financial constraints and then engage in E-Commerce participation activities; on the other hand, E-Commerce participation requires sustained financial investment, which will further stimulate farmers to actively seek financial support. In addition, omitted-variable concerns centre on unobserved entrepreneurial ability, risk appetite and household wealth that simultaneously determine borrowing and the decision to open an on-line store; if these traits are positively correlated with credit take-up, benchmark regression model will overstate the true impact. Measurement error is equally relevant: E-Commerce participation is self-reported and may be under-declared by respondents who fear tax scrutiny, while the credit-use variables capture only loans that households are willing to reveal, creating classical attenuation bias. Both issues motivate the instrumental-variable strategy and robustness checks reported below.</p>
<p>For this reason, this paper adopts Extended Regression Models (ERM) for estimation. Referring to the study of <xref ref-type="bibr" rid="ref34">Qiu et al. (2024a</xref>, <xref ref-type="bibr" rid="ref33">2024b)</xref>, the proportion of other farmers&#x2019; credit access in the village is selected as an instrumental variable in this paper. This variable satisfies the two core conditions for a valid instrument. Rural credit markets in China are information-intensive and highly referral-based. Loan officers rely on local social networks to screen clients; a higher Peer-share mechanically increases the pool of successful borrowers who can vouch for, co-guarantee, or simply inform their neighbours about upcoming bank visits. Consequently, a one-percentage-point rise in the peer-share raises the probability that any given household is offered a loan contract. However, the peer-share should affect a household&#x2019;s decision to engage in E-Commerce only through its own credit status. Neighbours&#x2019; loans do not directly supply the target household with internet skills, online storefronts, or logistics services; they merely loosen its liquidity constraint.</p>
<p>The results of the endogeneity test of credit access on farmers&#x2019; E-Commerce participation are shown in <xref ref-type="table" rid="tab9">Table 9</xref>. Both the F-stat lie well above conventional weak-instrument thresholds, confirming that the peer-share is a strong predictor of individual credit access. The results show that the corr value is significant at 1% statistical level, indicating that the original hypothesis that the variables are exogenous is rejected, i.e., there is an endogeneity problem. After considering the endogeneity problem of mutual causality, credit access, formal credit access, and informal credit access still have a significant positive effect on farmers&#x2019; E-Commerce participation, and the promotion effect of informal credit access on farmers&#x2019; E-Commerce participation is stronger, which further supports the reliability of the results of the previous study.</p>
<table-wrap position="float" id="tab9">
<label>Table 9</label>
<caption>
<p>Results of ERM estimation of credit access on farmers&#x2019; E-Commerce participation.</p>
</caption>
<table frame="hsides" rules="groups">
<thead>
<tr>
<th align="left" valign="top" rowspan="2">Variable name</th>
<th align="center" valign="top">(1)</th>
<th align="center" valign="top">(2)</th>
<th align="center" valign="top" rowspan="2">Formal credit access</th>
<th align="center" valign="top">(3)</th>
<th align="center" valign="top" rowspan="2">Informal credit access</th>
<th align="center" valign="top">(4)</th>
</tr>
<tr>
<th align="center" valign="top">Credit access</th>
<th align="center" valign="top">E-Commerce participation</th>
<th align="center" valign="top">E-Commerce participation</th>
<th align="center" valign="top">E-Commerce participation</th>
</tr>
</thead>
<tbody>
<tr>
<td align="left" valign="middle">IV</td>
<td align="center" valign="middle">0.640&#x002A;&#x002A;&#x002A; (0.041)</td>
<td/>
<td align="center" valign="middle">0.408&#x002A;&#x002A;&#x002A; (0.048)</td>
<td/>
<td align="center" valign="middle">0.338&#x002A;&#x002A;&#x002A; (0.039)</td>
<td/>
</tr>
<tr>
<td align="left" valign="middle">Credit access</td>
<td/>
<td align="center" valign="middle">1.817&#x002A;&#x002A;&#x002A; (0.126)</td>
<td/>
<td/>
<td/>
<td/>
</tr>
<tr>
<td align="left" valign="middle">Formal credit access</td>
<td/>
<td/>
<td/>
<td align="center" valign="middle">1.105&#x002A;&#x002A;&#x002A; (0.140)</td>
<td/>
<td/>
</tr>
<tr>
<td align="left" valign="middle">Informal credit access</td>
<td/>
<td/>
<td/>
<td/>
<td/>
<td align="center" valign="middle">1.202&#x002A;&#x002A;&#x002A; (0.142)</td>
</tr>
<tr>
<td align="left" valign="middle">Control variables</td>
<td align="center" valign="middle">Controlled</td>
<td align="center" valign="middle">Controlled</td>
<td align="center" valign="middle">Controlled</td>
<td align="center" valign="middle">Controlled</td>
<td align="center" valign="middle">Controlled</td>
<td align="center" valign="middle">Controlled</td>
</tr>
<tr>
<td align="left" valign="middle">Constant</td>
<td align="center" valign="middle">0.753&#x002A;&#x002A;&#x002A; (0.091)</td>
<td align="center" valign="middle">0.312&#x002A;&#x002A;&#x002A; (0.046)</td>
<td align="center" valign="middle">0.626&#x002A;&#x002A;&#x002A; (0.093)</td>
<td align="center" valign="middle">0.256&#x002A;&#x002A;&#x002A; (0.046)</td>
<td align="center" valign="middle">0.257&#x002A;&#x002A;&#x002A; (0.080)</td>
<td align="center" valign="middle">0.371&#x002A;&#x002A;&#x002A; (0.048)</td>
</tr>
<tr>
<td align="left" valign="middle">F-stat</td>
<td align="center" valign="middle">247.15&#x002A;&#x002A;&#x002A;</td>
<td/>
<td align="center" valign="middle">72.80&#x002A;&#x002A;&#x002A;</td>
<td/>
<td align="center" valign="middle">86.69&#x002A;&#x002A;&#x002A;</td>
<td/>
</tr>
<tr>
<td align="left" valign="middle">Adj R<sup>2</sup></td>
<td align="center" valign="middle">0.188</td>
<td/>
<td align="center" valign="middle">0.104</td>
<td/>
<td align="center" valign="middle">0.119</td>
<td/>
</tr>
<tr>
<td align="left" valign="middle"><italic>N</italic></td>
<td align="center" valign="middle">2,557</td>
<td align="center" valign="middle">2,557</td>
<td align="center" valign="middle">2,557</td>
<td align="center" valign="middle">2,557</td>
<td align="center" valign="middle">2,557</td>
<td align="center" valign="middle">2,557</td>
</tr>
</tbody>
</table>
</table-wrap>
<p>However, with only one instrument we cannot perform over-identification tests; the exclusion assumption rests on theoretical reasoning and the rich set of village-level controls. Future work that exploits multiple policy-based instruments (e.g., sequential county-level credit quotas) could further buttress identification.</p>
</sec>
</sec>
<sec id="sec25">
<label>4.4</label>
<title>Mediation effect analysis</title>
<p>Based on the previous theoretical analysis, it is known that credit access promotes farmers&#x2019; E-Commerce participation by expanding the scale of land operation. For this reason, drawing on <xref ref-type="bibr" rid="ref3">Baron and Kenny&#x2019;s (1986)</xref> research, this paper used the stepwise regression method to examine the above mechanism of action, and the results are shown in <xref ref-type="table" rid="tab10">Table 10</xref>. In the mediated effect test, the regression results of <xref ref-type="disp-formula" rid="E2">Equation 2</xref> are consistent with the benchmark regression results, which are limited to space and to avoid repetition, and are no longer shown in <xref ref-type="table" rid="tab10">Table 10</xref>. From the regression results, it can be seen that credit access can significantly expand the scale of land management and promote the E-Commerce participation of farmers. To obtain reliable inference we estimate the indirect effect with bias-corrected bootstrapped standard errors (1,000 replications). <xref ref-type="table" rid="tab10">Table 10</xref> confirm that the mediation pathway is statistically significant. Therefore, the research hypothesis H2 is confirmed. Specifically, credit financing provides farmers with essential capital support, enabling them to lease or lease more land and establish a more extensive land operation base. This expansion in production scale not only increases agricultural output and commercialization but also ensures a stable and sufficient supply of goods for E-Commerce participation, making online sales more feasible and economically viable. Therefore, the scale of land operations plays a crucial intermediary role in how credit resources influence farmers&#x2019; E-Commerce decisions.</p>
<table-wrap position="float" id="tab10">
<label>Table 10</label>
<caption>
<p>Regression results of the mediating effect of land management scale.</p>
</caption>
<table frame="hsides" rules="groups">
<thead>
<tr>
<th align="left" valign="top" rowspan="2">Variable name</th>
<th align="center" valign="top" colspan="2">(1)</th>
<th align="center" valign="top" colspan="2">(2)</th>
<th align="center" valign="top" colspan="2">(3)</th>
</tr>
<tr>
<th align="center" valign="top">Scale of land management</th>
<th align="center" valign="top">E-Commerce participation</th>
<th align="center" valign="top">Scale of land management</th>
<th align="center" valign="top">E-Commerce participation</th>
<th align="center" valign="top">Scale of land management</th>
<th align="center" valign="top">E-Commerce participation</th>
</tr>
</thead>
<tbody>
<tr>
<td align="left" valign="middle">Credit access</td>
<td align="center" valign="middle">0.309&#x002A;&#x002A;&#x002A; (0.047)</td>
<td align="center" valign="middle">0.529&#x002A;&#x002A;&#x002A; (0.086)</td>
<td/>
<td/>
<td/>
<td/>
</tr>
<tr>
<td align="left" valign="middle">Formal credit access</td>
<td/>
<td/>
<td align="center" valign="middle">0.310&#x002A;&#x002A;&#x002A; (0.046)</td>
<td align="center" valign="middle">0.415&#x002A;&#x002A;&#x002A; (0.082)</td>
<td/>
<td/>
</tr>
<tr>
<td align="left" valign="middle">Informal credit access</td>
<td/>
<td/>
<td/>
<td/>
<td align="center" valign="middle">0.126&#x002A;&#x002A; (0.049)</td>
<td align="center" valign="middle">0.655&#x002A;&#x002A;&#x002A; (0.092)</td>
</tr>
<tr>
<td align="left" valign="middle">Scale of land management</td>
<td/>
<td align="center" valign="middle">0.304&#x002A;&#x002A;&#x002A; (0.058)</td>
<td/>
<td align="center" valign="middle">0.309&#x002A;&#x002A;&#x002A; (0.058)</td>
<td/>
<td align="center" valign="middle">0.349&#x002A;&#x002A;&#x002A; (0.058)</td>
</tr>
<tr>
<td align="left" valign="middle">Control variables</td>
<td align="center" valign="middle">Controlled</td>
<td align="center" valign="middle">Controlled</td>
<td align="center" valign="middle">Controlled</td>
<td align="center" valign="middle">Controlled</td>
<td align="center" valign="middle">Controlled</td>
<td align="center" valign="middle">Controlled</td>
</tr>
<tr>
<td align="left" valign="middle" char="&#x00D7;">Proportion of the mediating effect</td>
<td align="char" valign="middle" char="&#x00D7;" colspan="2">11.42%</td>
<td align="char" valign="middle" char="&#x00D7;" colspan="2">13.77%</td>
<td align="char" valign="middle" char="&#x00D7;" colspan="2">3.98%</td>
</tr>
<tr>
<td align="left" valign="middle" char="&#x00D7;">Sobel Z</td>
<td align="char" valign="middle" char="&#x00D7;" colspan="2">4.67</td>
<td align="char" valign="middle" char="&#x00D7;" colspan="2">4.796</td>
<td align="char" valign="middle" char="&#x00D7;" colspan="2">2.167</td>
</tr>
<tr>
<td align="left" valign="middle" char="&#x00D7;">Bootstrap test 90% confidence interval</td>
<td align="char" valign="middle" char="&#x00D7;" colspan="2">[0.0051, 0.0137]</td>
<td align="char" valign="middle" char="&#x00D7;" colspan="2">[0.0055, 0.0147]</td>
<td align="char" valign="middle" char="&#x00D7;" colspan="2">[0.0005, 0.0078]</td>
</tr>
<tr>
<td align="left" valign="middle">Pseudo R<sup>2</sup></td>
<td align="center" valign="middle">0.100</td>
<td align="center" valign="middle">0.136</td>
<td align="center" valign="middle">0.081</td>
<td align="center" valign="middle">0.127</td>
<td align="center" valign="middle">0.097</td>
<td align="center" valign="middle">0.144</td>
</tr>
<tr>
<td align="left" valign="middle"><italic>N</italic></td>
<td align="center" valign="middle">2,557</td>
<td align="center" valign="middle">2,557</td>
<td align="center" valign="middle">2,557</td>
<td align="center" valign="middle">2,557</td>
<td align="center" valign="middle">2,557</td>
<td align="center" valign="middle">2,557</td>
</tr>
</tbody>
</table>
</table-wrap>
</sec>
<sec id="sec26">
<label>4.5</label>
<title>Heterogeneity test</title>
<sec id="sec27">
<label>4.5.1</label>
<title>Heterogeneous of the topography, agricultural functional districts, and geographical position</title>
<p>The three dimensions of topography, agricultural functional zoning and geographical location constitute the basic structural constraints affecting the development of rural E-Commerce. Therefore, this paper conducts group regressions on the samples at the topography, agricultural functional districts, and geographical position, respectively, and the results are shown in <xref ref-type="table" rid="tab11">Table 11</xref>. The results show that the impact of credit access on farmers&#x2019; E-Commerce participation is heterogeneous at the level of terrain, functional agricultural subdivisions, and geographic location, and the research hypothesis H3 is confirmed. In particular, credit access promotes E-Commerce participation of farmers in plain areas, food-producing areas and central-eastern areas, and it is worth noting that informal credit promotes E-Commerce participation of farmers in western areas. The reasons may stem from the relatively well-developed infrastructure, efficient logistics networks, and mature agricultural industrialization in plain regions, which enable credit funds to be effectively converted into actual E-Commerce production capacity. In major grain-producing areas, the established large-scale production systems and stable agricultural supply allow credit injections to more easily extend industrial chains and enhance product commercialization rates. Geographically, central and eastern regions demonstrate higher marginal effects of credit utilization due to their greater market potential and more complete digital infrastructure. Notably, in western regions, informal credit has shown unique value. Its flexible and accessible nature better accommodates the relative lack of formal financial services, serving as a crucial supplementary financing channel for farmers to explore E-Commerce participation.</p>
<table-wrap position="float" id="tab11">
<label>Table 11</label>
<caption>
<p>Heterogeneity test results.</p>
</caption>
<table frame="hsides" rules="groups">
<thead>
<tr>
<th align="left" valign="top" rowspan="2">Variable name</th>
<th align="center" valign="top" colspan="2">Village topography</th>
<th align="center" valign="top" colspan="2">Agricultural functional districts</th>
<th align="center" valign="top" colspan="2">Geographical position</th>
</tr>
<tr>
<th align="center" valign="top">Plain</th>
<th align="center" valign="top">Mountainous</th>
<th align="center" valign="top">Major agricultural region</th>
<th align="center" valign="top">Non-major agricultural region</th>
<th align="center" valign="top">East central region</th>
<th align="center" valign="top">Western region</th>
</tr>
</thead>
<tbody>
<tr>
<td align="left" valign="middle">Credit access</td>
<td align="center" valign="middle">0.711&#x002A;&#x002A;&#x002A; (0.129)</td>
<td align="center" valign="middle">0.506&#x002A;&#x002A;&#x002A; (0.113)</td>
<td align="center" valign="middle">0.844&#x002A;&#x002A;&#x002A; (0.134)</td>
<td align="center" valign="middle">0.422&#x002A;&#x002A;&#x002A; (0.117)</td>
<td align="center" valign="middle">0.588&#x002A;&#x002A;&#x002A; (0.112)</td>
<td align="center" valign="middle">0.483&#x002A;&#x002A;&#x002A; (0.141)</td>
</tr>
<tr>
<td align="left" valign="middle">Formal credit access</td>
<td align="center" valign="middle">0.549&#x002A;&#x002A;&#x002A; (0.107)</td>
<td align="center" valign="middle">0.410&#x002A;&#x002A;&#x002A; (0.123)</td>
<td align="center" valign="middle">0.720&#x002A;&#x002A;&#x002A; (0.126)</td>
<td align="center" valign="middle">0.324&#x002A;&#x002A;&#x002A; (0.109)</td>
<td align="center" valign="middle">0.573&#x002A;&#x002A;&#x002A; (0.110)</td>
<td align="center" valign="middle">0.306&#x002A;&#x002A; (0.130)</td>
</tr>
<tr>
<td align="left" valign="middle">Informal credit access</td>
<td align="center" valign="middle">1.090&#x002A;&#x002A;&#x002A; (0.154)</td>
<td align="center" valign="middle">0.470&#x002A;&#x002A;&#x002A; (0.119)</td>
<td align="center" valign="middle">1.058&#x002A;&#x002A;&#x002A; (0.148)</td>
<td align="center" valign="middle">0.441&#x002A;&#x002A;&#x002A; (0.121)</td>
<td align="center" valign="middle">0.612&#x002A;&#x002A;&#x002A; (0.131)</td>
<td align="center" valign="middle">0.718&#x002A;&#x002A;&#x002A; (0.140)</td>
</tr>
<tr>
<td align="left" valign="middle">Control variables</td>
<td align="center" valign="middle">Controlled</td>
<td align="center" valign="middle">Controlled</td>
<td align="center" valign="middle">Controlled</td>
<td align="center" valign="middle">Controlled</td>
<td align="center" valign="middle">Controlled</td>
<td align="center" valign="middle">Controlled</td>
</tr>
<tr>
<td align="left" valign="middle">Pseudo R<sup>2</sup> (Credit access)</td>
<td align="center" valign="middle">0.132</td>
<td align="center" valign="middle">0.113</td>
<td align="center" valign="middle">0.183</td>
<td align="center" valign="middle">0.112</td>
<td align="center" valign="middle">0.137</td>
<td align="center" valign="middle">0.174</td>
</tr>
<tr>
<td align="left" valign="middle">Pseudo R<sup>2</sup> (Formal credit access)</td>
<td align="center" valign="middle">0.099</td>
<td align="center" valign="middle">0.121</td>
<td align="center" valign="middle">0.167</td>
<td align="center" valign="middle">0.106</td>
<td align="center" valign="middle">0.135</td>
<td align="center" valign="middle">0.162</td>
</tr>
<tr>
<td align="left" valign="middle">Pseudo R<sup>2</sup> (Informal credit access)</td>
<td align="center" valign="middle">0.165</td>
<td align="center" valign="middle">0.106</td>
<td align="center" valign="middle">0.196</td>
<td align="center" valign="middle">0.112</td>
<td align="center" valign="middle">0.128</td>
<td align="center" valign="middle">0.196</td>
</tr>
<tr>
<td align="left" valign="middle"><italic>N</italic></td>
<td align="center" valign="middle">1,022</td>
<td align="center" valign="middle">1,535</td>
<td align="center" valign="middle">1,263</td>
<td align="center" valign="middle">1,294</td>
<td align="center" valign="middle">1,444</td>
<td align="center" valign="middle">1,113</td>
</tr>
</tbody>
</table>
</table-wrap>
</sec>
<sec id="sec28">
<label>4.5.2</label>
<title>Heterogeneous of credit access methods</title>
<p>Considering the wide application of digital technology in rural finance, this paper further explores the differences in the effects of different credit access methods on farmers&#x2019; E-Commerce participation. It not only overcomes the theoretical limitations of traditional research that homogenizes credit, but also provides empirical evidence for designing inclusive financial policies tailored to farmers&#x2019; actual needs, thereby effectively improving the allocation efficiency of financial resources in rural E-Commerce. Referring to the study of <xref ref-type="bibr" rid="ref37">Su et al. (2021)</xref>, based on the digital differences in borrowing methods, the credit access methods of farmers are divided into digital credit and traditional credit, and the effects of these two credit access methods on the E-Commerce participation of farmers are examined separately. Traditional credit access primarily relies on physical branches and collateral guarantees, with standardized offline approval processes. Digital credit access, however, leverages digital platforms and big data-driven risk models to enable full-process online operations. While the former depends on collateral and credit history, creating higher service barriers, the latter conducts online credit assessments, offering greater inclusivity and efficiency. The results are shown in <xref ref-type="table" rid="tab12">Table 12</xref>. The results indicate that digital credit significantly promotes farmers&#x2019; E-Commerce participation, while traditional credit also exerts a significant positive impact on farmers&#x2019; E-Commerce participation, yet its effect is considerably smaller. The possible reason is that traditional credit access is complicated, requires collateral and other assets, and the threshold for farmers to obtain credit is higher; while digital credit can use information advantages to efficiently match borrowing and lending needs, and the borrowing and lending process is relatively simple, which makes it more convenient for farmers to obtain funds in a timely and stable manner to engage in E-Commerce participation activities.</p>
<table-wrap position="float" id="tab12">
<label>Table 12</label>
<caption>
<p>Heterogeneity test of credit access methods.</p>
</caption>
<table frame="hsides" rules="groups">
<thead>
<tr>
<th align="left" valign="top">Variable name</th>
<th align="center" valign="top">(1)</th>
<th align="center" valign="top">(2)</th>
</tr>
</thead>
<tbody>
<tr>
<td align="left" valign="middle">Digital Credit</td>
<td align="center" valign="middle">0.302&#x002A;&#x002A;&#x002A; (0.059)</td>
<td/>
</tr>
<tr>
<td align="left" valign="middle">Traditional Credit</td>
<td/>
<td align="center" valign="middle">0.175&#x002A; (0.092)</td>
</tr>
<tr>
<td align="left" valign="middle">Control variables</td>
<td align="center" valign="middle">Controlled</td>
<td align="center" valign="middle">Controlled</td>
</tr>
<tr>
<td align="left" valign="middle">Pseudo R<sup>2</sup></td>
<td align="center" valign="middle">0.082</td>
<td align="center" valign="middle">0.080</td>
</tr>
<tr>
<td align="left" valign="middle"><italic>N</italic></td>
<td align="center" valign="middle">2,557</td>
<td align="center" valign="middle">2,557</td>
</tr>
</tbody>
</table>
</table-wrap>
</sec>
</sec>
<sec id="sec29">
<label>4.6</label>
<title>Further discussion</title>
<sec id="sec30">
<label>4.6.1</label>
<title>The impact of credit access on the size of different E-commerce participation</title>
<p>Referring to the study of <xref ref-type="bibr" rid="ref6">Cai et al. (2018)</xref>, this paper takes the mean value of E-Commerce sales as the cut-off point, divides E-Commerce participation into scale E-Commerce and non-scale E-Commerce, and explores the impact of credit access on different E-Commerce participation scales, and the results are shown in <xref ref-type="table" rid="tab13">Table 13</xref>. The results show that compared with non-scale E-Commerce, credit access can more significantly promote scale E-Commerce participation, which indicates that the initial small-scale E-Commerce participation has a lower demand for funds, but as the scale of E-Commerce participation expands, the importance of credit access grows progressively more salient. It is worth noting that formal credit access has a significant positive effect on large-scale E-Commerce participation, but the effect of informal credit access on large-scale E-Commerce participation is not significant. This suggests that informal credit plays an important role in the initial stage of E-Commerce participation, but as E-Commerce participation scale up, they become more dependent on formal credit support. The possible reason for this is that informal credit carries high implicit costs due to favors, imposing moral constraints on profits and leading entrepreneurs to repay loans quickly rather than reinvesting in operation expansion. Moreover, the scale of capital supply from informal credit, based on trust within a limited circle, is constrained and has a limited impact on expanding E-Commerce participation.</p>
<table-wrap position="float" id="tab13">
<label>Table 13</label>
<caption>
<p>Impact of credit access on the size of different E-Commerce participation.</p>
</caption>
<table frame="hsides" rules="groups">
<thead>
<tr>
<th align="left" valign="top">Variable name</th>
<th align="center" valign="top">Non-scale E-Commerce</th>
<th align="center" valign="top">Scale E-Commerce</th>
</tr>
</thead>
<tbody>
<tr>
<td align="left" valign="middle">Credit access</td>
<td align="center" valign="middle">0.178&#x002A; (0.093)</td>
<td align="center" valign="middle">0.250&#x002A;&#x002A; (0.115)</td>
</tr>
<tr>
<td align="left" valign="middle">Formal credit access</td>
<td align="center" valign="middle">0.169&#x002A; (0.088)</td>
<td align="center" valign="middle">0.283&#x002A;&#x002A; (0.140)</td>
</tr>
<tr>
<td align="left" valign="middle">Informal credit access</td>
<td align="center" valign="middle">0.210&#x002A; (0.109)</td>
<td align="center" valign="middle">0.154 (0.171)</td>
</tr>
<tr>
<td align="left" valign="middle">Control variables</td>
<td align="center" valign="middle">Controlled</td>
<td align="center" valign="middle">Controlled</td>
</tr>
<tr>
<td align="left" valign="middle">Pseudo R<sup>2</sup> (Credit access)</td>
<td align="center" valign="middle">0.099</td>
<td align="center" valign="middle">0.083</td>
</tr>
<tr>
<td align="left" valign="middle">Pseudo R<sup>2</sup> (Formal credit access)</td>
<td align="center" valign="middle">0.103</td>
<td align="center" valign="middle">0.086</td>
</tr>
<tr>
<td align="left" valign="middle">Pseudo R<sup>2</sup> (Informal credit access)</td>
<td align="center" valign="middle">0.098</td>
<td align="center" valign="middle">0.078</td>
</tr>
<tr>
<td align="left" valign="middle"><italic>N</italic></td>
<td align="center" valign="middle">2,557</td>
<td align="center" valign="middle">2,557</td>
</tr>
</tbody>
</table>
</table-wrap>
</sec>
<sec id="sec31">
<label>4.6.2</label>
<title>The impact of credit access on different E-commerce participation models</title>
<p>Currently, there are two main E-Commerce sales modes for agricultural products in rural areas, one is the platform E-Commerce mode in which farmers open online shops on E-Commerce platforms such as Jingdong, Taobao and Pindoduo to sell their agricultural products, and the other is the social E-Commerce mode in which farmers sell their agricultural products with the help of social tools such as WeChat, Xiaohongshu and Tik-Tok (<xref ref-type="bibr" rid="ref27">Liu et al., 2021</xref>). This paper further explores the impact of credit access on different E-Commerce participation models, and the results are shown in <xref ref-type="table" rid="tab14">Table 14</xref>. The findings reveal that credit access, formal credit access, and informal credit access significantly facilitate social e-commerce business. The possible reason for this is the social E-Commerce model offers a strong social aspect, low costs, and asset-light operations, with less financial constraint than platform E-Commerce. It also features lower market entry barriers and simpler operational standards, enabling farmers to engage in E-Commerce with microcredit support.</p>
<table-wrap position="float" id="tab14">
<label>Table 14</label>
<caption>
<p>Impact of credit access on different E-Commerce participation models.</p>
</caption>
<table frame="hsides" rules="groups">
<thead>
<tr>
<th align="left" valign="top">Variable name</th>
<th align="center" valign="top">Platform E-Commerce</th>
<th align="center" valign="top">Social E-Commerce</th>
</tr>
</thead>
<tbody>
<tr>
<td align="left" valign="middle">Credit access</td>
<td align="center" valign="middle">0.298&#x002A; (0.152)</td>
<td align="center" valign="middle">0.539&#x002A;&#x002A;&#x002A; (0.089)</td>
</tr>
<tr>
<td align="left" valign="middle">Formal credit access</td>
<td align="center" valign="middle">0.375&#x002A;&#x002A; (0.149)</td>
<td align="center" valign="middle">0.476&#x002A;&#x002A;&#x002A; (0.084)</td>
</tr>
<tr>
<td align="left" valign="middle">Informal credit access</td>
<td align="center" valign="middle">0.364&#x002A;&#x002A; (0.169)</td>
<td align="center" valign="middle">0.603&#x002A;&#x002A;&#x002A; (0.095)</td>
</tr>
<tr>
<td align="left" valign="middle">Control variables</td>
<td align="center" valign="middle">Controlled</td>
<td align="center" valign="middle">Controlled</td>
</tr>
<tr>
<td align="left" valign="middle">Pseudo R<sup>2</sup> (Credit access)</td>
<td align="center" valign="middle">0.183</td>
<td align="center" valign="middle">0.100</td>
</tr>
<tr>
<td align="left" valign="middle">Pseudo R<sup>2</sup> (Formal credit access)</td>
<td align="center" valign="middle">0.189</td>
<td align="center" valign="middle">0.095</td>
</tr>
<tr>
<td align="left" valign="middle">Pseudo R<sup>2</sup> (Informal credit access)</td>
<td align="center" valign="middle">0.184</td>
<td align="center" valign="middle">0.101</td>
</tr>
<tr>
<td align="left" valign="middle"><italic>N</italic></td>
<td align="center" valign="middle">2,557</td>
<td align="center" valign="middle">2,557</td>
</tr>
</tbody>
</table>
</table-wrap>
</sec>
</sec>
</sec>
<sec id="sec32">
<label>5</label>
<title>Conclusions and policy implications</title>
<sec id="sec33">
<label>5.1</label>
<title>Discussion</title>
<p>The findings of this paper confirm that credit access raises farmers&#x2019; E-Commerce participation, echoing <xref ref-type="bibr" rid="ref47">Yang et al. (2021)</xref> but extending their work by disaggregating formal, informal and digital channels and by testing impacts across business scales and models. At the individual level, age reduces and education or Party membership raises E-Commerce uptake, consistent with <xref ref-type="bibr" rid="ref49">Yu and Xiang (2021)</xref>, <xref ref-type="bibr" rid="ref19">Jin et al. (2020)</xref> and <xref ref-type="bibr" rid="ref25">Lin et al. (2021)</xref>. Family labour has a positive effect (<xref ref-type="bibr" rid="ref24">Li et al., 2021a</xref>, <xref ref-type="bibr" rid="ref23">2021b</xref>). Regionally, better roads surprisingly reduce while higher village and regional economic levels promote E-Commerce, matching <xref ref-type="bibr" rid="ref8">Cano et al. (2022)</xref>, <xref ref-type="bibr" rid="ref10">Chao et al. (2021)</xref> and <xref ref-type="bibr" rid="ref6">Cai et al. (2018)</xref>.</p>
<p>However, the findings also have certain limitations and need to be further improved in future research. First, the data are not timely enough, relying solely on cross-sectional data from 2020, making it difficult to capture the dynamic relationship between credit and E-Commerce participation. Second, the research scope is limited to China, and the universality of its conclusions needs further verification in different countries. Third, the examined mediating mechanisms are relatively limited, focusing only on the path of land scale, failing to fully reveal the multiple channels through which digital credit influences farmers&#x2019; E-Commerce behaviour. For example, digital credit can precisely meet farmers&#x2019; short-term liquidity needs in E-Commerce participation. It can provide immediate working capital for product packaging and logistics shipping, as well as support investments such as social media promotion, thereby effectively smoothing key links in E-Commerce participation.</p>
<p>Therefore, future studies should extend the analysis across countries to test whether the formal-informal-digital credit hierarchy holds under varying land-tenure and financial regulations. Longitudinal panels spanning pre- and post-COVID years are needed to separate transient policy shocks from persistent structural effects. Researchers should also incorporate additional mediators such as digital literacy, risk preferences and gender-specific networks, each of which may condition both credit uptake and the fixed costs of online marketing. Experimental or quasi-experimental designs that randomise digital-skills training or fintech exposure could further identify how human capital interacts with credit in driving E-Commerce participation.</p>
</sec>
<sec id="sec34">
<label>5.2</label>
<title>Conclusion</title>
<p>Through the above analyses, this paper draws the following four conclusions.</p>
<p>First, access to credit significantly boosts farmers&#x2019; E-Commerce participation, with informal credit proving more effective than formal credit. Second, credit access primarily drives E-Commerce development through expanding land management scale. Third, this promotional effect varies depending on factors like terrain, agricultural functional zoning, and geographical location. Fourth, digital credit demonstrates overall superior effects compared to traditional credit, particularly in facilitating large-scale E-Commerce through credit access and formal credit access, while social E-Commerce shows better comprehensive performance.</p>
</sec>
<sec id="sec35">
<label>5.3</label>
<title>Policy implications</title>
<p>Based on these findings, this paper draws the following policy implications.</p>
<p>First, optimize the rural credit system to lower financing barriers. Fiscal incentives should guide formal financial institutions to provide inclusive credit, while regulating informal credit markets to curb illegal financial activities and leverage their flexible, convenient supplementary role.</p>
<p>Second, strengthen the linkage between land and credit mechanisms. Improve land rights confirmation and transfer services, and develop specialized credit products for production needs like land consolidation and infrastructure construction. This will support moderate-scale agricultural operations through credit financing, laying the foundation for E-Commerce development.</p>
<p>Third, implement region-specific credit strategies. Design tailored credit guarantee and service models based on local topography, industries, and economic conditions to enhance the precision of credit resource allocation and inclusive efficiency.</p>
<p>Fourth, advance the digital transformation of rural finance. Build agricultural credit information platforms using big data and 5G technologies, develop user-friendly digital financial services, break down information barriers, improve farmers&#x2019; financing accessibility and convenience, and empower the scaled, diversified development of E-Commerce.</p>
</sec>
</sec>
</body>
<back>
<sec sec-type="data-availability" id="sec36">
<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 authors.</p>
</sec>
<sec sec-type="author-contributions" id="sec37">
<title>Author contributions</title>
<p>HQ: Conceptualization, Funding acquisition, Resources, Validation, Writing &#x2013; original draft. YC: Formal analysis, Investigation, Validation, Visualization, Writing &#x2013; original draft. RP: Software, Visualization, Writing &#x2013; review &#x0026; editing. XC: Resources, Writing &#x2013; review &#x0026; editing. ZW: Conceptualization, Methodology, Writing &#x2013; review &#x0026; editing. BS: Methodology, Resources, Writing &#x2013; review &#x0026; editing.</p>
</sec>
<sec sec-type="COI-statement" id="sec38">
<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="sec39">
<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="sec40">
<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-group>
<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/1422887/overview">Faizal Adams</ext-link>, Kwame Nkrumah University of Science and Technology, Ghana</p>
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<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/3235496/overview">Bernard Kwamena Cobbina Essel</ext-link>, Czech University of Life Sciences Prague, Czechia</p>
<p><ext-link ext-link-type="uri" xlink:href="https://loop.frontiersin.org/people/3239993/overview">George Akuriba</ext-link>, Cape Coast Polytechnic, Ghana</p>
<p><ext-link ext-link-type="uri" xlink:href="https://loop.frontiersin.org/people/3245197/overview">Ebenezer Donkor</ext-link>, Humber College, Canada</p>
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