1. Introduction
As a concrete manifestation of the shared development philosophy, urban–rural integration entails both the objective need to advance common prosperity and the goal orientation of achieving rural revitalization and promoting the coordinated development of both urban and rural areas. In traditional urban–rural development models, constrained by multiple factors such as geographic location, infrastructure, institutional barriers, and financial system limitations, high-quality production factors including capital, talent, and technology have long flowed unidirectionally from rural to urban areas. This has resulted in lagging rural industrial development, narrow income growth channels for farmers, and persistent urban–rural gaps in public services and income levels, severely restricting the optimal allocation of urban–rural resources and high-quality regional coordinated development. The principle of “adhering to urban–rural integration and facilitating the smooth flow of factors between urban and rural areas” clarifies the overall direction of China’s urban–rural relations for the coming period. High-quality urban–rural integration development is a new development model that breaks the urban–rural dual structure, centers on the coordinated advancement of population, economy, society, space, and ecology, and promotes two-way orderly population flows, complementary urban–rural economic interactions, equitable and inclusive public services, rational and optimized spatial layouts, and shared environmental governance, thereby achieving balanced allocation of urban–rural resources, co-construction and sharing of development outcomes, and comprehensive, coordinated, and sustainable urban–rural development. Amid the continuous advancement of Chinese-style modernization, the internal driving forces of economic demands in the new era have made high-quality urban–rural integration development an important goal, aimed at promoting the joint progress and common prosperity of both urban and rural areas. As the core essence of Chinese-style modernization, high-quality urban–rural integration development is a key pathway under the guidance of the new development philosophy to foster common urban–rural prosperity and achieve high-quality economic development. In the process of advancing the construction of a modern socialist country, exploring the mechanisms for achieving such integration has become a critically important issue.
Regarding the issue of high-quality urban–rural integration development, existing research primarily focuses on the following two dimensions. First, studies concentrate on the intrinsic definition and theoretical interpretation. For example, Zhang (2022) [
1] argues that high-quality urban–rural integration is not merely about rapid economic growth; rather, it is more conducive to the free flow and optimal allocation of production factors. Jiao (2023) [
2] proposes that high-quality urban–rural integration, built upon breaking the urban–rural divide, places greater emphasis on the quality, comprehensiveness, and sustainability of development. Bu (2023) [
3] contends that on the path of Chinese-style modernization, high-quality urban–rural integration, guided by the new development philosophy, aims to narrow the urban–rural gap, promote common prosperity, and achieve higher-level integration goals. Tacoli (1998) [
4] points out that population migration, commodity transactions, capital flows, and various social interactions between urban and rural areas constitute the core drivers of changes in urban–rural relations. Lynch (2005) [
5] places population mobility within the broader framework of multiple urban–rural flows, arguing that urban–rural integration is embodied in the multi-directional, cross-sectoral, and cross-regional circulation and integration of people, resources, materials, information, and capital between urban and rural areas. Bulderberga (2014) [
6], focusing on the practice of urban–rural relations in Latvia, suggests that urban–rural integration development can be divided into three progressive stages: cross-border factor flows, the formation of linkages between urban and rural areas, and ultimately the achievement of synergistic cooperation. The second dimension focuses on the measurement of development, primarily encompassing evaluation indicator systems and measurement methods. Regarding evaluation indicator systems, Zhang et al. (2022) [
7] analyze the rich implications and specific evolutionary process of urban–rural integration from the perspectives of urban, rural, and urban–rural integration. Li (2024) [
8] selects four aspects—urban–rural economic integration, urban–rural social harmony, urban–rural spatial coordination, and urban–rural ecological environment integration—to construct their indicator system. In terms of dimensional construction by international scholars in recent years, classic studies typically revolve around five dimensions: population, land, economy, society, and ecology. Cutting-edge research has further expanded to include transportation integration and information integration, constructing a comprehensive measurement system comprising seven dimensions (Fang et al., 2026) [
9]. Adhering to the people-centered philosophy and focusing on indicators constructed from economic, social, and ecological dimensions, empirical findings reveal that the digital economy significantly promotes urban-rural integration. (Huo & Liu, 2024) [
10]. Regarding measurement methods, Liu et al. (2020) [
11] employed the entropy weight method to divide the whole country into four regions—East, West, Central, and Northeast—and conducted measurement research and analysis on the level of high-quality urban–rural integration development in each region. Dou and Wang (2019) [
12] used factor analysis, Jenks natural breaks classification, and other methods to evaluate the level of urban–rural integration development in Shandong Province. Li (2019) [
13] applied factor analysis to conduct research in five dimensions: “integrated type,” “intensive type,” “ecological type,” “moderate type,” and “advanced type.” Overall, existing studies have made significant progress in theoretical construction and empirical measurement. However, several issues remain unresolved and warrant further research: the lack of a unified connotation definition, the absence of standardized indicator systems, and the challenge of effectively bridging international experience with China’s indigenous practice.
In the process of Chinese-style modernization, digital inclusive finance, characterized by inclusiveness, flexibility, accessibility, and digitalization, plays a central role in promoting high-quality urban–rural integration. On the one hand, it unlocks the growth potential of rural economies and significantly alleviates urban–rural disparities. On the other hand, it facilitates the flow of factor resources and enhances allocative efficiency. Simultaneously, digital inclusive finance accelerates rural technological innovation, injecting strong momentum into rural revitalization and urban–rural integration. Therefore, digital inclusive finance can be regarded as an important pathway leading high-quality urban–rural integration. Furthermore, this system encompasses multiple dimensions, including coverage breadth, depth of use, and degree of digitalization. As the roles of these dimensions vary across different stages of development, their impacts on the process of urban–rural integration also differ. The key to achieving urban–rural integration lies in promoting the two-way flow of factors between urban and rural areas. The continuous advancement of digital inclusive finance helps strengthen spatial agglomeration economies and facilitates the efficient integration of production factors such as labor, capital, and technology within specific regions. This acceleration of factor flows is becoming a vital force driving the urban–rural integration process, thereby contributing to the realization of high-quality urban–rural integration development. Given this, digital inclusive finance, with factor mobility as a mediating mechanism, can break down urban–rural factor circulation barriers and ultimately indirectly propel urban–rural integration toward successively higher stages of quality development.
In summary, this study conducts an empirical investigation into the mechanism through which digital inclusive finance drives high-quality urban–rural integration development, focusing on three main aspects: direct effects, heterogeneous performance, and indirect impacts. Using relevant data to empirically verify these issues holds significant practical implications for establishing and improving policy recommendations related to urban–rural integration development. The possible contributions of this paper are as follows: (1) Drawing on the new development philosophy, this paper constructs an evaluation system for high-quality urban–rural integration development and employs the TOPSIS entropy method to comprehensively assess its level. (2) Based on measuring the level of high-quality urban–rural integration development in China, this paper explores the impact of digital inclusive finance on such development, taking into account both regional heterogeneity and factor heterogeneity. (3) By incorporating factor mobility as a mediating variable, this paper confirms that digital inclusive finance has a significant indirect promoting effect on high-quality urban–rural integration development.
4. Results
4.1. Baseline Regression Analysis
This study employs STATA 17.0 software and, based on the panel data from 2012 to 2022, sequentially conducts the F-test, LM test, and Hausman test to scientifically and rigorously select the most appropriate model among the pooled regression model, fixed effects model, and random effects model. The model specification test indicates that the fixed effects model is the optimal choice for this study. The corresponding regression results are presented in
Table 4.
The regression results in
Table 4 show that in Column (1), which includes only the core independent variable, the regression coefficient of digital inclusive finance (Dif) is significantly positive at the 1% level. In Columns (2) through (6), where multiple control variables are gradually introduced, this coefficient remains positive and stable, with no decline in significance level and only slight fluctuations in coefficient values. Therefore, regardless of whether control variables are included, digital inclusive finance demonstrates a significant promoting effect on high-quality urban–rural integration development, thereby strongly validating Hypothesis H1, i.e., that there is a clear positive correlation between digital inclusive finance and high-quality urban–rural integration development. Further examining the regression coefficients of the control variables reveals that government intervention intensity and labor force level are both significantly positive at the 1% statistical level, indicating that urban–rural coordination policies enacted by local governments and the smooth two-way flow of urban–rural labor can effectively optimize urban–rural resource allocation and provide significant support for high-quality urban–rural integration development. The regression coefficients of R&D intensity and regional economic development level consistently fail to reach the 10% significance level, reflecting that, at the current stage, regional R&D resources are mostly concentrated in urban areas, and the channels for transforming technological achievements into rural industrial applications are insufficient. Moreover, mere expansion of aggregate economic output cannot automatically narrow the urban–rural development gap; thus, neither factor has yet formed a stable driver for urban–rural integration. The coefficient of the human capital level is significantly negative. The underlying reason is that, at present, highly educated and high-quality talent continues to flow unidirectionally from rural to urban areas, leading to a pronounced imbalance in urban–rural human capital stock, which in turn constrains balanced urban–rural integration development.
4.2. Heterogeneity Analysis
4.2.1. Regional Heterogeneity
There are imbalances among regions in terms of socio-economic development levels and infrastructure construction, leading to regional disparities in the development of urban–rural integration and digital inclusive finance. Therefore, it is necessary to examine whether the impact of digital inclusive finance on high-quality urban–rural integration development exhibits regional heterogeneity. Based on the classification standard of the three major economic zones by the National Bureau of Statistics of China, this paper divides the sample into three regions: Eastern, Central, and Western. The eastern region consists of Beijing, Tianjin, Hebei, Shanghai, Jiangsu, Zhejiang, Fujian, Shandong, Guangdong, Hainan and Liaoning. The central region includes Shanxi, Anhui, Jiangxi, Henan, Hunan, Hubei, Jilin and Heilongjiang. The western region covers Sichuan, Guizhou, Yunnan, Shaanxi, Gansu, Qinghai, Ningxia Hui Autonomous Region, Xinjiang Uygur Autonomous Region, Guangxi Zhuang Autonomous Region, Chongqing and Inner Mongolia Autonomous Region. On this basis, this paper further carries out an in-depth study on regional heterogeneity. and the results are presented in
Table 5.
As shown in the results in
Table 5, all three models for the Eastern, Central, and Western regions control for both provincial and time fixed effects. The sample sizes for each group are 121, 88, and 121, respectively, and the F-statistics for all models are significant, indicating that the grouped regression models have good explanatory power overall, and that the driving effect of digital inclusive finance on high-quality urban–rural integration development exhibits significant regional heterogeneity.
Using digital inclusive finance (Dif) as the core explanatory variable for analysis, the estimated coefficient for the Eastern region is 0.323, and that for the Central region is 0.085. Both coefficients are significantly positive at the 1% confidence level. The estimated coefficient for the Western region is −0.006, which fails the significance test. These results indicate that the dividends of digital inclusive finance enabling urban–rural integration are effectively released only in the Eastern and Central regions, and the positive driving force in the Eastern region is far stronger than that in the Central region. In contrast, digital inclusive finance in the Western region has not yet generated a driving effect on high-quality urban–rural integration development. The positive effect of digital inclusive finance on high-quality urban–rural integration development exhibits a regional differentiation pattern characterized by “strongest in the Wast, moderate in the Center, and weaker in the West.” Thus, the driving effect of digital inclusive finance on high-quality urban–rural integration development demonstrates clear regional heterogeneity, which validates Hypothesis H2a. The reasons for this are as follows: the Eastern region has well-established digital infrastructure and mature urban–rural financial supporting systems, enabling digital finance to effectively open up urban–rural capital circulation channels; the Central region has seen steady development of the digital industry, with the urban–rural coverage effect of digital finance initially emerging; and the Western region has a weak rural digital foundation and rural residents have not yet developed habits of using digital finance, making it difficult to penetrate financial resources downward, thus failing to exert a positive effect. From the perspective of differential performance among control variables, government intervention intensity is significantly positive only in the Central and Western regions, reflecting that the Central and Western regions rely more prominently on fiscal and policy adjustments to compensate for urban–rural shortcomings, whereas the Eastern region has a higher level of marketization, limiting the role of government intervention. Labor force level is significantly positive only in the Eastern region, benefiting from the more unimpeded two-way flow of urban–rural labor in the East. R&D intensity is significantly negative only in the Central region, indicating a phenomenon where urban R&D resources siphon rural innovation resources. Economic development level is significantly positive only in the Western region, suggesting that economic growth plays an obvious role in driving rural infrastructure development in the West. Human capital level is significantly positive in the Central and Western regions, helping to alleviate the urban–rural talent imbalance in those areas, whereas the urban–rural human capital gap in the Eastern region is relatively small, and thus this variable has no significant effect.
4.2.2. Dimensional Heterogeneity
According to the preceding theoretical analysis, the different dimensions encompassed by digital inclusive finance exhibit variations in promoting high-quality urban–rural integration development. To that end, this paper employs regression analysis to specifically examine the respective impacts of three sub-dimensions—coverage breadth (cover), depth of use (usage), and degree of digitalization (dig)—on high-quality urban–rural integration development. The specific regression results are presented in
Table 6.
As shown in
Table 6, the regression coefficients for the three dimensions of digital inclusive finance are 0.931, 0.714, and 0.553, respectively, all passing the positive significance test at the 1% level. This confirms Hypothesis H2b, i.e., that the impact of digital inclusive finance on high-quality urban–rural integration development exhibits dimensional heterogeneity. The coefficient for coverage breadth (cover) is 0.931, the highest among the three sub-dimensions, indicating that from 2012 to 2022, the coverage breadth of digital inclusive finance in China expanded rapidly and exerted the greatest driving effect on high-quality urban–rural integration development. This suggests that with the continuous expansion of digital inclusive financial service coverage, urban and rural residents have gained broader access to convenient and efficient financial support, thereby enhancing urban–rural economic interaction and exchange, and providing a strong impetus to urban–rural integration development. The coefficient for depth of use (usage) is 0.714, slightly lower than that of coverage breadth, but still indicates that depth of use plays an important role in urban–rural integration. Depth of use reflects the extent to which residents utilize digital inclusive financial services, encompassing payments, financing, wealth management, and other aspects. The coefficient for the degree of digitalization (dig) is 0.553, the lowest among the three sub-dimensions. This may be because the current degree of digitalization of digital inclusive finance in China is not yet sufficiently high, and there are certain technical and institutional constraints, limiting its role in promoting urban–rural integration. However, with continuous technological progress and policy improvement, the degree of digitalization is expected to be further enhanced in the future, thereby better promoting the development of urban–rural integration.
4.3. Endogeneity Test
To effectively mitigate the potential endogeneity problem of the core explanatory variable, digital inclusive finance, it is necessary to first clarify the main sources of such endogeneity. On the one hand, there may be a bidirectional causal relationship between digital inclusive finance and high-quality urban–rural integration development—that is, the two are mutually causal and drive each other. The former promotes the process of urban–rural integration, while the latter, in turn, creates a favorable environment for the further development of the former. On the other hand, there is a mutually reinforcing relationship between digital inclusive finance and the level of economic development: digital inclusive finance can stimulate regional economic growth, while a higher level of economic development can provide strong support for the popularization and upgrading of digital inclusive finance. Given that endogeneity issues may affect the accuracy and reliability of the research conclusions, it is of great significance to systematically explore and address them. This paper employs the instrumental variable method (2SLS) to test for endogeneity. Considering the research context, scope, and data availability, the first lag of the core explanatory variable, digital inclusive finance (Dif_lag1), is selected as the instrumental variable. At the same time, the economic development level, government intervention intensity, R&D intensity, human capital level, and labor force level are included in the model as control variables to ensure the robustness of the regression results.
As shown in the endogeneity test results in
Table 7, the coefficient of the one-period lagged digital inclusive finance equals 0.7362 in the first-stage regression and is statistically significant at the 1% level (t = 12.25), confirming a strong correlation between the instrumental variable and the core explanatory variable. The excluded-instrument F-statistic stands at 11,296.13, far exceeding the conventional critical value of 10 as well as the Stock–Yogo critical value of 16.38 at the 10% significance level, ruling out the concern of weak instrumental variables. The Kleibergen–Paap rk LM statistic is 128.53 (
p < 0.001), which rejects the null hypothesis of under-identification at the 1% significance level, thereby fully verifying the validity of the instrumental variable and the identification credibility of the empirical model.
Baseline ordinary least squares (OLS) regression documents a significantly positive coefficient of 0.2417 for digital inclusive finance on high-quality urban–rural integrated development at the 1% level, preliminarily confirming its positive driving effect. Nevertheless, plagued by endogeneity issues such as bidirectional causality and omitted variable bias, baseline OLS estimates suffer from systematic bias and fail to capture the true underlying causal relationship. After endogeneity correction via two-stage least squares (2SLS), the estimated coefficient of the core explanatory variable rises to 0.5684, with an identical sign to the baseline specification and a markedly larger magnitude. This finding implies that conventional OLS substantially underestimates the positive promotional impact of digital inclusive finance, whereas the 2SLS estimator effectively eliminates endogeneity distortions and yields more unbiased estimates of the genuine causal effect. Collectively, endogeneity tests and corresponding corrections robustly corroborate the core empirical findings. Despite the numerical discrepancy in coefficient magnitudes between OLS and 2SLS specifications, both estimations deliver consistent core conclusions: digital inclusive finance exerts a statistically significant and positive causal effect on high-quality urban–rural integrated development, and such inference remains robust after accounting for endogeneity disturbances. While baseline OLS results preliminarily verify the statistical validity of the focal impact, 2SLS-corrected outcomes further consolidate the paper’s core research hypothesis from the perspective of causal identification, furnishing rigorous empirical evidence for relevant policy formulation.
4.4. Robustness Test
To eliminate the bias on regression results stemming from the specificities of sample coverage and variable construction, this paper conducts robustness checks from multiple dimensions to guarantee the reliability of research conclusions. The test results in Columns (1) and (2) of
Table 8 reveal that the significantly positive impact of digital inclusive finance on high-quality urban–rural integrated development still holds.
- (1)
Excluding the influence of extreme values
To alleviate estimation bias driven by outliers, all continuous variables in this paper are Winsorized at the 1st and 99th percentiles on both tails to mitigate distortions from anomalous observations on coefficient estimation, followed by a regression rerun using the trimmed dataset. The re-estimated coefficient of the core explanatory variable stands at 0.5763 and remains significantly positive at the 1% statistical level. Consistent with the baseline regression outcome, this result verifies the robustness of model specification.
- (2)
Revising the combination of control variables
Robustness is further verified by adjusting the control variable set: the empirical model is re-estimated after dropping the government intervention intensity (Gov) from the regression specification. The regression output yields a core explanatory variable coefficient of 0.4996, which is still significantly positive at the 5% significance level and aligns closely with the baseline findings. Collectively, the above evidence confirms that baseline estimates are insensitive to the specific selection of control variables, consolidating the robustness of our core conclusions.
4.5. Mediation Effect Analysis
Framed within the analytical framework of factor mobility, this paper explores the intrinsic mechanism through which digital inclusive finance affects high-quality urban–rural integrated development. To verify the above hypothesis, we construct a mediation model with factor mobility as the mediating variable based on baseline regression and conduct mediation effect analysis; corresponding regression results are presented in
Table 9.
As shown in the regression results in
Table 9, the impact mechanism of digital inclusive finance on high-quality urban–rural integrated development comprises two paths: a direct effect and an indirect effect mediated by factor mobility. Under the total-effect estimation in Specification (1), the overall coefficient of digital inclusive finance is 0.225 and statistically significant at the 1% level. This satisfies the prerequisite for mediation effect testing and verifies that digital inclusive finance generally boosts high-quality urban–rural integrated development. In Specification (2), where factor mobility is specified as the dependent variable, the coefficient on digital inclusive finance is 0.179 (significant at the 1% level). This indicates that digital inclusive finance spurs the two-way flow of capital and labor between urban and rural regions. Digital financial services reduce the cross-regional financing cost of funds, provide credit support for rural entrepreneurship and non-farm employment, and accordingly eliminate barriers to factor mobility. After introducing the mediating variable into Specification (3), the coefficient of factor mobility equals 0.384 and is significant at the 1% level, demonstrating that unconstrained cross-urban–rural factor flows generate a marked positive effect on high-quality integration. By overcoming market segmentation, production factors such as capital and labor optimize the spatial layout of industries, enable complementary resource allocation, and elevate the overall quality of urban–rural integration. Meanwhile, the direct-effect coefficient of digital inclusive finance is 0.156 (significant at the 1% level), meaning its positive direct impact remains statistically robust.
To further verify the statistical reliability of the mediating effect, this paper supplements the Sobel test and Bootstrap test with 5000 repeated samplings, whose results are documented in
Table 10. The Sobel test yields an indirect effect of 0.0687 with a Z-statistic of 3.208 and a
p-value below 0.01, which is statistically significant at the 1% level. The Bootstrap estimation reports an average indirect effect of 0.0679 and a 95% confidence interval of [0.0202, 0.1273] (excluding zero), confirming significance at the 5% level. Results from the two tests are highly consistent, which substantiates the existence of a statistically significant indirect effect via factor mobility and further supports the conclusion that factor mobility serves as a partial mediator in the nexus between digital inclusive finance and high-quality urban–rural integrated development.
6. Discussion
Based on the comprehensive theoretical and empirical analyses above, this paper puts forward targeted policy recommendations as follows: (1) Improve institutional arrangements to strengthen the overall driving effectiveness of digital inclusive finance on urban–rural integration. Relying on institutional coordination, a long-term institutional framework shall be formulated to underpin urban–rural integrated development via digital inclusive finance. Incorporate the advancement of digital inclusive finance into the evaluation system for high-quality urban–rural integrated development, rationalize fiscal resource allocation and scale up fiscal transfer payments for Central, Western and rural regions. Priority shall be given to the construction of rural digital infrastructure and the outreach of grassroots financial services to reverse the unbalanced allocation of urban and rural financial resources and fully unlock the enabling dividends of digital inclusive finance. (2) Align differentiated policies with dimensional heterogeneity to advance coordinated upgrading across three dimensions of digital inclusive finance. Differentiated development strategies shall be formulated in light of heterogeneous impacts across dimensions. First, expand coverage breadth by improving grassroots financial service networks, streamlining administrative procedures for agriculture-related financing and lowering entry barriers for rural financial access. Second, deepen usage depth by developing customized agricultural credit and supply-chain financial products tailored to rural industrial revitalization and county-level economic expansion, so as to improve the compatibility between financial offerings and real economic demands. Third, upgrade the digitalization level by refining rural risk control models and scaling up digital financial literacy education for rural residents to bridge the urban–rural digital divide. (3) Adopt tiered and targeted regional policies in response to uneven regional development. Optimize policy design in line with localized development conditions across Eastern, Central and Western China. Benefiting from mature digital economy endowments, the Eastern region shall facilitate deep integration between digital inclusive finance, green agriculture and market-oriented allocation of urban–rural production factors to build pioneering financial innovation prototypes for urban–rural integration. The Central region shall prioritize agricultural modernization and the improvement of county-level financial ecology by expanding financial inclusion for rural industries and micro, small and medium-sized enterprises (MSMEs), thereby boosting two-way cross-border factor mobility between cities and the countryside. The Western region shall first remedy underdeveloped digital infrastructure, simplify operational procedures of financial products and design industry-specific financial instruments matching local featured resources to foster endogenous growth momentum for digital inclusive finance. (4) Dismantle institutional barriers to factor mobility and galvanize the mediating transmission channel of factor flows. Centered on smoothing the circular flow of urban and rural production factors, policymakers shall amplify the mediating effects of factor mobility. In terms of labor mobility, develop targeted credit products on digital inclusive finance platforms to grant low-cost financing for migrant workers returning home for entrepreneurship and rural laborers seeking off-farm jobs across regions, which effectively cuts financing constraints restraining labor migration. For capital flows, revitalize idle rural assets and mitigate risks and transaction costs for urban capital flowing into the countryside. Incentivize financial and private capital to channel into rural industries, infrastructure and public service sectors via digital finance to realize virtuous urban–rural capital circulation. Regarding technology diffusion, establish cross-regional platforms linking urban R&D institutes and rural entities to facilitate the commercialization of urban scientific achievements in rural areas. Special-purpose credit funds for agricultural technology transformation shall be launched to finance the introduction of advanced technologies, production equipment and crop varieties, accelerating the efficient spillover of technological factors across urban and rural areas.
7. Abbreviations and Their Meanings
1. TOPSIS: Technique for Order Preference by Similarity to Ideal Solution: TOPSIS is a commonly used comprehensive evaluation method first proposed by C.L. Hwang and K. Yoon in 1981. It is primarily used to rank evaluation objects based on their proximity to an idealized target, thereby assessing their relative merits.
2. Duri: Urban–Rural Integration: The high-quality urban–rural integrated development.
3. Dif: Digital Inclusive Finance: Digital inclusive finance refers to the integration of the concept of inclusive finance with digital technology, providing broader, more convenient, and efficient financial services through digital means.
4. Usage: usage depth: Usage depth emphasizes vertical development, reflecting the actual level of utilization of digital inclusive finance by the people of China. It measures the volume, extent, frequency, and activity level of users’ engagement with digital inclusive financial services and products.
5. Cover: Coverage breadth: Coverage breadth focuses on the “horizontal” extension of financial services and products, encompassing the coverage of target groups, geographical areas, and other aspects, and measures the reach and popularity of digital inclusive finance.
6. Dig: Digitization: The degree of digitization measures the level of convenience and affordability of digital inclusive financial services.
7. F-test: Fisher’s test: The most commonly used alias for the F-test is the joint hypothesis test, and it is also known as the variance ratio test or the test for homogeneity of variances. It is a test where, under the null hypothesis, the statistic follows an F-distribution.
8. LM test: Lagrange Multiplier test: In econometrics, the LM test is often used to test for problems such as autocorrelation and heteroscedasticity in time-series data.
9. Edl: Economic Development Level: This indicator is calculated by dividing the regional gross domestic product (GDP) by the total population of the region.
10. Gov: Government Intervention Intensity: This paper uses the ratio of public fiscal expenditure to GDP to measure government intervention.
11. Rd: Research and Development Intensity: This paper selects the proportion of research and development (R&D) expenditure to gross domestic product (GDP).
12. Hcl: Human Capital Level: Human capital is a concept in Western economics, also known as “non-physical capital”, which is opposed to “physical capital” and refers to the capital embodied in laborers.
13. Lfl: Labor Force Level: This paper uses the natural logarithm of the employed personnel at the end of the year.