Performance and sustainability evaluation of rural digitalization and its driving mechanism: evidence from Hunan province of China

Quantitatively measuring rural digitalization performance and development sustainability, identifying their key in ﬂ uencing factors and ﬁ guring out their driving mechanisms are of great value to policy design for rural revitalization and management. This paper analyzed the sustainable development degree, spatial patterns, and in ﬂ uencing factors of rural digitization in Hunan Province, China, based on a combination of PSR, TOPSIS, ESDA, GWR and GeoDetector, in an attempt to provide a basis for the planning and policy design of rural management. The sustainability and construction performance of rural digitalization in Hunan were characterized by signi ﬁ cant spatial inequality and positive autocorrelation, with coef ﬁ cients of variation of 0.33 and 0.24, and Moran ’ s I values of 0.29 and 0.34, respectively. The rural digitalization in Hunan showed signi ﬁ cant non-equilibrium across different dimensions and brought forward diversi ﬁ ed combination patterns, including single dimensional leadership, dual dimensional leadership, three-dimensional leadership, and all-round development. The pattern dual dimensional leadership, especially PS (pressure + state), was dominant in the sustainability of rural digitalization, compared to the pattern single dimensional leadership dominant in the construction performance, especially I (rural infra-structure digitalization), IL (rural infrastructure + life digitalization), IG (rural infrastructure + governance digitalization). The sustainability and construction performance of rural digitalization in Hunan were subject to a complex driving mechanism, with different factors differing signi ﬁ cantly in their action nature, force, spatial effects and interactions. Notably, economic development (gross domestic product) is a positive key factor, while government intervention capacity ( ﬁ scal self-suf ﬁ ciency rate) is an important factor, and natural environment (relief amplitude) is a mixed auxiliary factor (both positive


Introduction 1.Background
With the integration, development and innovative application of cloud computing, big data, artificial intelligence and other technologies and services, a new round of scientific and technological revolution and urban and rural development are rapidly taking shape and rising.In the context of rapid digital development around the world, the accelerated extension of information technology to the countryside, represented by 5G and 6G, has contributed to the fact that the center of gravity of digital development is gradually shifting from smart cities to digital villages (Ferrari, Wang, 2022).The application of digital and information technology to promote the transformation of villages and realize sustainable and high-quality development of villages has become a new development trend, with the goal of creating digital villages, smart villages, intelligent villages, and villages 4.0 (Malik, 2022).Rural digitalization is a process of continuous integration of digital technology with rural productivity, production relations and production factors.Its development helps to overcome the limitations of traditional rural "space-time, resources and talents," and promote the comprehensive upgrading of agriculture, the comprehensive progress of rural areas and the comprehensive development of farmers (Naldi, 2015;Li et al., 2023).Due to the outbreak of COVID-19, more countries around the world have embarked on the project to formulate rural digitalization and smart village development policies (including spatial planning, action plans, construction guidelines and standards), and some pioneering nations such as the United States, China, Russia, the European Union, and Australia are ready to optimize and update their policies on the digitalization of villages.Therefore, scientifically and quantitatively measuring the rural digitalization sustainability and revealing its driving mechanisms will provide a basis and obvious value for village management and revitalization.
In the context of smart earth, digital nation and smart city construction, digitalization is rising as a key variable affecting the sustainable development of rural areas, and an important foundation and prerequisite for villages to be smart.Countries around the globe have currently set off a boom in rural digitization, constantly innovating new modes, formats, technologies and products for the development of digital and smart villages.It is a remarkable fact that governments' management and planning of the development of the emerging rural digitization is generally not well founded, leading to overlapping projects, overbuilding, coexistence of underinvestment and waste of resources, and failure of pilots and experiments in the construction of digital and smart villages, which are obstacles and threats to the high-quality development of rural digitization.To accelerate and better promote rural digitalization, there is an urgent need to carry out rural digital sustainability assessment and reveal the driving mechanism behind it, so as to provide a basis for the government's decision-making on the construction of digital and smart village projects, as well as the policy and spatial planning for rural digitalization.This paper conducted an empirical study of Hunan, China on three areas.First, it quantitatively measured the sustainability and construction performance of rural digitalization in Hunan, based on the PSR model and TOPSIS model.Second, it analyzed the spatial characteristics of rural digitalization in Hunan, including spatial patterns and spatial effects, using ESDA and GIS models.Third, it analyzed the impact of different factors on rural digitalization, including the nature of the role, intensity, spatial variation characteristics and factor interaction effects, using the GWR model and GeoDetector.Notably, the sustainability evaluation of rural digitalization is an improvement of the analysis of its construction performance, and in order to reveal the similarities and differences between the two, a comparative analysis of their spatial characteristics and influencing factors was carried out during the study.
The important contribution of this study to rural revitalization and management is the shift from rural digitalization construction performance to development sustainability and the revealing of their driving mechanisms.Rural digitization construction performance and development sustainability, two different concepts, share some common points including large regional differences in rural digitization, significant spatial effects, low overall level, diversified modes of dimensional combinations, and high complexity of driving mechanisms.However, rural digitalization sustainability and construction performance significantly vary in evaluation results, dimension combinations, and driving mechanisms.The analytical framework, research methodology, findings and conclusions of this paper are applicable to the construction of digital villages and smart villages in Hunan, and also have inspirational value and implications for planning and policy making in similar regions in China and the world.In addition, this study is of great value to the construction of digital planning and rural planning disciplines, as well as to the development of digital and smart village theories.From the perspective of sustainable development of the spatial planning discipline, rural planning is a secondary discipline alongside urban planning and regional planning.Digitalization and intelligence, the latest trends in rural development, are driving changes in rural planning, and digital planning is transforming into a new direction for rural planning.This paper tries to summarize the regular features and the hidden order behind rural digitalization based on the case study of digital village construction in Hunan, helping to reshape the value of the industry, reconfigure the connotation of the discipline, fill the theoretical gap, to innovate the planning methodology and to upgrade the planning tools through rural planning and digital planning.According to their whole-life development trend, the construction of digital and smart villages is still in the ascendant and countries all over the world are in the exploratory stage.As a result, it is urgent for government decision makers to identify the actual conditions, ideal ways, and implementation path of rural digitalization.The case study on rural digitalization in Hunan will promote the research in this regard to be practical (what is the current actual situation), actual (what should be the theoretical or ideal situation) and made (how can we promote the integration of the current real situation towards the theoretical/ideal situation), which is of great significance for the construction and refinement of the theoretical system of digital and smart villages.

Literature review
Current research on rural digitalization focuses on the following three areas: First, regarding digitalization as a revolutionary tool to lead the high-quality development of the countryside, the research analyzes the penetration and application of digital and information technology in multiple fields such as economy, society, culture and life in the countryside, committed to exploring the impacts of different technologies on the sustainable development of the countryside as well as the specific application schemes or processes (Budziewicz-Guzlecka, 2022).Scholars mainly discuss the impact of emerging technologies such as the Internet of Things, Big Data, and Artificial Intelligence on farmers' lives, agriculture, and rural development processes, and propose application scenarios, programs, and pathways based on case studies and the characteristics of the study area (Murty, 2020;Ram, 2021).Currently, a large number of studies are on the digitization of tourism-based (Ciolac, 2022;Rodrigues, 2023), climate changeresponsive (Ho, 2014;Galiwango, 2022), and historical and cultural preservation-based (Huang, 2020;Qi, 2022) villages because the market and the government provide sufficient capital support for their digitization and smartening.Some scholars also attribute the research related to rural e-commerce and smart characteristic towns to the field of rural digitalization (Leong, 2016;Li, 2022).
Second, the research on the characteristics, evolution mode and influencing factors of rural digitalization provides the basis for the planning and policy design of digital village, smart village and village 4.0.Most papers in this field mainly discuss national scale rural digitalization planning, policies, experiences, lessons, opportunities, and barriers in the paradigm of case studies and empirical research (Fennell, 2018;Alabdali, 2023).For example, scholars from different countries, based on case studies or local development actuality, have analyzed the practice and progress of rural digitization in pioneer or leading countries, including the United States (Li, 2020), the European Union (Adesipo, 2020), Australia (Park, 2017;Randell-Moon, 2022), Slovenia (Zavratnik, 2018), Canada (Spicer, 2018), Ireland (McGuire, 2022), Poland (Adamowicz, Wojcik, 2021), Spain (Escalona-Orcao, 2016), and China (Li, 2022).A few scholars have analyzed the driving mechanism of rural digitization and its evolution, investigating the influence and nature of the role of different factors from economic, social, environmental and other dimensions.For example, Cao (2023) measured the rural digitalization in China and its driving mechanism at the national level based on entropy method and Tobit model; Zhang (2023a) analyzed the spatial differences of digital village construction and its influencing factors in Gansu of China from at the regional level using Geographic Information System (GIS) and GeoDetector.
Third, the research focuses on the relationship between rural digitization and agricultural modernization, farmers' income growth, and regional economic development, trying to find ways to promote their common development.In the practice of national and local governments, rural digitalization is commonly implemented together with other development strategies, such as agricultural modernization, industrialization, common prosperity, domestic demand upgrading, innovation and entrepreneurship (Mei, 2022).Therefore, the inevitable interaction between rural digitization and these development strategies has led scholars to realize that the study of rural digitalization cannot be confined to the "village."In recent years, a small number of scholars have begun to try relevant exploratory studies, including the coupling relationship between rural digitalization and high-quality development of agriculture (Wang, 2023), the synergistic relationship between rural digitalization and farmers' income (Cai, 2023), and the interactive relationship between rural digitalization and financial technology (Zhang, 2023b).
A review of published papers shows that rural digitalization research is increasingly emphasized by scholars and governments, and it is continuing to expand in breadth and depth (Zhao, 2022a;Rahoveanu, 2022).It is worth noting that, alongside the considerable progress and achievements, there are also clear gaps in existing research, mainly in the following two areas.First, scholars have taken an emphasis on rural digitalization construction performance (RDCP) and its driving mechanisms, with less attention paid to the evaluation of the rural digitalization sustainability and its influencing factors.Most scholars, only regarding digitalization as a key way to sustainable development in the countryside (Putri, Fernandez, 2023) in their study, are still in the conceptual discussion stage in the evaluation and management of rural digitalization sustainable development research (Agusta, 2023), with many blind spots remaining in areas such as technical route, methodological model and indicator system.In addition, most of the studies are limited to internal performance evaluation, neglecting the analysis of the external environmental pressure and multi-body active behavior faced by rural digitalization, resulting in incomplete and inaccurate conclusions.Second, the existing research has not paid enough attention to the spatial effect of rural digitization.Different regions and countries have different starting times for rural digitalization, construction paths, development models, planning objectives, management policies, government and resident attitudes and their participation, leading to large differences in development between regions (Maja, 2020).Some scholars have also found that there is a certain spatial correlation in rural digitalization, with significant mutual influence between neighboring regions.However, the existing research is mainly based on linear regression models and GeoDetector.The former directly ignores the spatial effects, while the latter only responds to the spatial effects as a whole without analyzing the local spatial effects, which hinders the accuracy of the results (Li et al., 2023).

Study area: Hunan province in China
Hunan is a provincial-level administrative region located in southern China, with Changsha as its capital.It is geographically bordered by Jiangxi, Guizhou, Guangdong, Guangxi, Hubei, and Chongqing (a municipality directly under the central government).With jurisdiction over 13 prefecture-level cities and 1 minority autonomous prefecture, it has 122 county-level administrative districts.The study area of this paper is 105 county-level administrative districts, which is highly representative with coverage of more than 86% of the province (Figure 1).It should be noted that Furong, Tianxin, Yuelu, Kaifu, Yuhua, Hetang, Lusong, Shifeng, Tianyuan, Yuhu, Yuetang, Shigu, Zhengxiang, Yueyanglou, Yunxi, Wuling, Hecheng, Hongjiang and Datonghu were excluded mainly due to the fact that they are all municipal districts of prefecture-level cities as the core areas of urban construction, with a small rural population and small-scale agricultural development.

Research methods
The establishment of index system and the selection of appropriate measurement model are the preconditions for empirical research.The selected indicator system contains principal component analysis, factor analysis and PSR models.The PSR model was selected in this paper due to the systemic nature of rural digitalization and the causality between different subsystems.For performance evaluation and sustainability assessment, approaches such as Hierarchical Analysis, Technique for Order Preference by Similarity to Ideal Solution (TOPSIS) and VlseKriterijumska Optimizacija I Kompromisno Resenje (VIKOR) can be used, and in this study TOPSIS was used to ensure the objective results of the calculations and to balance the actual conditions of the optimal and the worst cities.In the comparative analysis of multiple cities, the spatial effect is a potential influencing factor that should not be ignored.Therefore, we chose Exploratory Spatial Data Analysis (ESDA) to detect spatial heterogeneity and autocorrelation in this paper, and decided whether to choose a spatial regression model based on the results.Least squares linear regression was chosen when the spatial effect was absent or very weak; otherwise Geographically Weighted Regression (GWR) and GeoDetector were chosen to calculate the local regression equations and the interactions of the different factors to enhance the accuracy of the regression analysis results.

PSR and TOPSIS model
The PSR model is a causal chain composed of pressure, state, and response together, which originated from environmental science and is now widely used in sustainable development research.We evaluated rural digitalization sustainability by TOPSIS, which was created by C.L. Hwang and K. Yoon in 1981 as a method for ranking a limited number of evaluation objects based on their proximity to an idealized target (Li, 2023a).To analyze rural digitization using the PSR model requires a systems-theoretic perspective that captures the key features of digital and smart villages' construction status, the pressures they face, and their response, as well as rationalizing the logical relationships among the three.As for development pressure, the population demand is a key environmental factor influencing rural digitalization, including population size and structure (Lofving, 2021).The size consists of the resident population and the lost population, and the structure includes both age and education structures.The elderly is generally lower than the young in acceptance and adoption of digital products and services, so the impact of population aging is more important in the age structure (Arroyo-Menendez, 2022).Most digital products and services involve some emerging technology, and illiteracy is a key indicator affecting the matching between rural digitalization and population knowledge structure (Sun, 2023).Rural digitization is a core element of new urbanization construction and holds the same position as smart cities, so the impact of urbanization cannot be underestimated.Population urbanization is used to represent it in this study (Ren, 2023).Given that rural digitization is closely related to the regional industrialization, it is represented by GDP per capita (Chinn, 2007).Population loss, population aging and illiteracy are negative indicators, based on the data from the Hunan Provincial Statistical Yearbook and the Seventh Population Census.Rural digitalization is a typical complex adaptive system, and it can be further divided into many subsystems based on the state of construction, such as rural infrastructure digitization, rural economy (industry) digitization, rural life digitization, and rural governance digitization.The rural digitalization index represents the construction level of digital villages, with the data based on the research report published by Peking University (Chen et al., 2022;Liu et al., 2022).It is necessary to consider the act of the government, residents, professionals and technicians in an integrated manner in the response of interest subjects.The government act is mainly expressed in terms of both investment and policy.The government is currently investing heavily in digital infrastructure, using fixed asset investment to represent it (Hou, 2023).Policies include generic and pilot policies, and this paper represents the differences in support by different levels of pilots (Stojanova, 2021).The act of the population is mainly manifested as consumption, and represented by per capita consumption (Zhang, 2023a) (Table 1).
Attaching great importance to the rural digitization, Hunan has issued special development policies such as the Action Plan for the Development of Digital Countryside in Hunan Province (2023-2025), the Pilot Work Program for Digital Countryside in Hunan Province.The rural digitalization in Hunan is promoted in a hierarchical pattern of national pilot -provincial pilot-non-pilot, including both comprehensive and characteristic pilots, which coincide s with the development concept of the central government and is highly representative in the construction of digital villages in China.The four national pilots are Xiangxi Tujia and Miao Autonomous Prefecture, Daxiang in Shaoyang City, Shuangpai in Yongzhou City, and Shaoshan in Xiangtan City.According to the results of the final evaluation of the national digital village pilot (initiated by the Cyberspace Administration of China together with the Ministry of Agriculture and Rural Affairs, the National Development and Reform Commission, the Ministry of Industry and Information Technology, the Ministry of Science and Technology and other departments, and evaluated by invited experts), Huayuan in Xiangxi Tujia and Miao Autonomous Prefecture was rated as excellent.There are 40 provincial pilots, including 9 counties and cities as comprehensive rural digitalization pilots, 6 towns and villages as rural information infrastructure featured pilots, 6 towns and streets as digital agriculture featured pilots, and 19 towns and villages as rural digital governance featured pilots.In the quantitative analysis, national and provincial pilot and non-pilot projects were assigned values of 5, 3, and 1 respectively.

Exploratory spatial data analysis
ESDA is a classical method to detect spatial effects.In this paper, coefficient of variation (CV) and spatial cluster analysis diagram were introduced to measure spatial heterogeneity and characterize regional differences; Moran's I index and cold and hotspot analysis chart were used to measure spatial correlation and characterize regional dependence.A larger coefficient of variation indicates a higher level of the regional difference in rural digitalization.In general, 0.16 and 0.36 are used as thresholds to classify them into low, medium and high levels.A quantile model was used in the spatial cluster analysis to visualize the geographic patterns of rural digitization.A larger absolute value of Moran's I index indicates a higher level of rural digitalization, and it is classified into spatial positive autocorrelation and negative autocorrelation using zero as the threshold.The cold and hotspot analysis map visualizes the spatial correlation characteristics of rural digitization.The counties in the study area were classified into four types of hot, sub-hot, subcold, and coldspots according to the index Getis-Ord G * i .The equations are as follows (Zhang, 2021;Zhao, 2022b): where: Y i is a dependent variable, including RDSDI i and RDSI i ; Y is the average value of dependent variables; S represents the standard deviation of dependent variables; W ij is the spatial weight.A spatial adjacency matrix was used in this paper (that is, the weight is 1 if the two are adjacent, otherwise, 0).

Geographically weighted regression and GeoDetector
In this study, 105 cities in Hunan were selected to carry out case studies, and spatial heterogeneity and autocorrelation need to be prioritized in the multi-city comparative analysis to provide a basis for regression model selection.In the case of weak spatial effects, the influencing factor analysis can be directly performed based on the traditional least squares linear regression model; otherwise, the spatial regression model should be used.GWR, GeoDetector, spatial lag model and spatial error model are the most commonly used spatial regression models.The first two are used for analyzing both cross-sectional and panel spatial data, while the latter two are only applicable to panel spatial data.GWR enables the calculation of local regression coefficients, and GeoDetector detects the interaction effects between different factors.It can be seen that they fit with the type of interface spatial data used in this study and match each other with the goal of the driving mechanism analysis (revealing the nature, intensity, and interaction of the factors) in the study, so that GWR and GeoDetector are appropriate research methods.The former was used to analyze the direct influence intensity and properties of a single factor, while the latter was used to measure the interaction between different factors.GWR explores the driving factors of rural digitalization sustainable development degree by establishing the local regression equation of each county in space.Since it takes into account the spatially localized effects of rural digitization, it offers a higher computational accuracy than a traditional linear regression model (by least squares).GeoDetector is able to measure the explanatory power of different factors for rural digitization by characterizing the similarity of the spatial patterns of the independent variable (X i ) and the dependent variable (Y i ) using the q-index (Wang, 2010;Zhao, 2021a).Single factor forces of X i and X j on Y i are labeled as q (X i ) and q (X j ), and their bifactor joint force labeled as q (X i ∩ X j ).By calculating the minimum value, maximum value and sum value of single-factor forces, and comparing them with the bifactor joint force, we can reveal the interaction between the two factors (Zhao, 2021b).The equations are as follows (Wang, 2012;Shrestha, 2017): where, β 0 a constant term, (μ i , v i ) is the spatial position of the i-th county (geographical barycentric coordinates), β k (μ i ,v i ) represents the correlation between variables of the i-th county, ϵ i is the error term of regression equation, h = 1, 2, 3, . . .l, l is the number of partitions of spatial clustering, σ 2 is the total variance of dependent variables, σ 2 h is the variance of dependent variables of the h-th partition, SSW and SST are the sums of variances within the partition and the study area, respectively.Dependent variables include Rural Digitalization Sustainable Development Index (RDSDI i ) and Rural Digitalization State Index (RDSI i ), labeled as Y 1 and Y 2 , respectively.The selection of independent variables comprehensively considers the comprehensive impact of five aspects: economic development, government investment capacity, matching of residents' knowledge structure, social policies, and natural environment, labeled as X 1 to X 5 , respectively.A collinearity test of the data was required before regression analysis.In this paper, the VIF values in the least squares regression results were used for determination with 10 as its threshold (Marquaridt, 1970).The results of linear regression analysis showed that all VIFs were less than 5, indicating that there was no collinearity between independent variables (Table 2).
China is still practicing growthism, and economic development is still the key indicator for county government assessment.The capacity for economic development is also a fundamental driver of rural digitization, so the impact of the scale and stage of economic development should be taken into account, which is represented by the GDP indicator chosen in this paper (Perez-Martinez, 2023).Rural digitization is currently at the stage of self-sufficiency driven by government investment, and in this paper the fiscal selfsufficiency rate is chosen to represent the government's ability to intervene (Zhao, 2021c;Li, 2022).Education level determines digital literacy and urban earning ability, and the average length of education is chosen to represent their impact on rural digitalization and population urbanization (Cambra-Fierro, 2022;Li, 2023b).The government expects to reduce the urban-rural income gap through the Digital Village project, so as to achieve the goal of common prosperity and development (Li et al., 2023).Natural environmental factors, especially the complex of relief amplitude, have a significant impact on the sustainable development of rural digitization.Digitalization is a new way to break through the constraints and obstacles of inconvenient transportation (Zhu, 2023).The data of GDP, fishery selfsufficiency rate and urban-rural income ratio came from Hunan Provincial Statistical Yearbook, with the fiscal self-sufficiency rate calculated as the ratio of fiscal revenue to expenditure.The average length of education was derived from the census.The terrain undulation data is sourced from relief degree of land surface dataset of China (1 km) (You, 2018;Dang, 2022).

Spatial pattern analysis
The spatial clustering results showed that the digitization of rural infrastructure in Hunan had obvious spatial hierarchical characteristics.The spatial pattern was characterized by the formation of aggregation areas with high values, banded aggregation areas with low values, and a random distribution of the median values.Most of the counties at low level of rural infrastructure digitalization were in the northeast and northwest corner of Hunan, including Jishou, Changsha and Wangcheng.Most of the counties at low level of rural infrastructure digitalization were in the central part of Hunan, concentrated distribution along the Huaihua-Shaoyang-Hengyang continuous line, including Changning, Yanling, Shuangfeng, Wulingyuan, Longhui, Beita and Mayang (Figure 2).
The results of spatial clustering showed that the rural economy digitalization in Hunan was prominently characterized by spatial hierarchization and agglomeration.Most of the counties at low level of rural economy digitalization were concentrated in the Yiyang-Changsha region, including Changsha, Dingcheng and Taojiang.Counties at low level of rural economic digitization have formed large clusters in Huaihua-Shaoyang, and two small clusters in Zhangjiajie and Yongzhou, with members including Jiahe, Xintian and Linxiang.The counties at the medium level are concentrated around the high values, including Shaodong, Pingjiang and Yuanling.
The results of spatial clustering showed that the rural governance digitalization in Hunan was prominently characterized by spatial hierarchization and clustering.The highlevel digital counties for rural governance in Hunan were concentrated in the central and eastern parts of the province, and penetrated into the north, with members including Changsha, Wangcheng and Heshan.Most of the counties at low level of rural governance digitalization were concentrated in Huaihua and Chenzhou, including Yanfeng, Chenxi, Lengshuitan and Luxi.Those at medium or high level formed a central peripheral structure and they were concentrated in the Changde-Yiyang-Loudi region, including Xinhua, Wugang, Anxiang and Cili.
The spatial clustering results showed that no counties at high or medium level of rural life digitization in Hunan formed a cluster, except those at low level forming a horizontal "U" cluster belt along Yueyang-Changde-Huaihua-Shaoyang-Hengyang-Zhuzhou.The members of the agglomeration belt included Yizhang, Beihu, Linwu and Shimen.Counties with a high rural life digitalization index included Louxing, Xinhua and Heshan; and those with a low index included Chaling, Yongshun, Shuangpai and Jiahe.

Dimensional difference analysis
There is a significant difference in the development level of the four dimensions (rural infrastructure digitization, rural economy digitization, rural governance digitization, and rural life digitization) for rural digitization, with only Qidong, Heshan, Qiyang, Ningxiang, and Changsha having a coefficient of variation of less than 0.16, indicating negligible heterogeneity.In theory, the relationship between the four dimensions can form 15 combination patterns, including single dimensional leadership, dual dimensional leadership, three-dimensional leadership, and all-round development (Figure 3).The determination steps for the combination pattern are as follows: Firstly, calculate the sum of the four dimensions for each county in Hunan Province.Secondly, calculate the proportion of each dimension to represent their status.Finally, determine the combination pattern of the four dimensions based on their proportional relationship.The all-round development type requires that the proportion of each dimension be greater than 20%; The threshold for other types of classification is 25%.
Among the 15 combination patterns, 8 are not present in Hunan, including rural economy digitization (E), rural   Two high-value large agglomeration areas appeared in the eastern and western parts of Hunan, centered on the provincial capital and Huaihua-Shaoyang, with members including Changsha, Daxiang and Shaoshan.The median-value forms two clusters in the southern and northern parts of Hunan, centered on Hengyang and Changde, with members including Jiangyong, Louxing and Liling.The clustering areas of low value members are located in the northwest, southeast, and southwest corners of Hunan, with members including Linxiang, Linli and Beita.

Dimensional difference analysis
The development level of the three dimensions (pressure, state, and response) for evaluating the sustainability of rural digitalization also varied greatly, with only Shimen, Pingjiang, Dongkou, Li, Jiangyong, Jishou, Jianghua, Fenghuang, Heshan, Anhui, Hongjiang, Wangcheng, and Longhui having a coefficient of variation of less than 0.16, indicating negligible heterogeneity.About 90% of members had a moderate to high level of heterogeneity, with significant differences in the three dimensions.The relationship between the three dimensions was in seven combination patterns, including single dimensional leadership, dual dimensional leadership, and all-round development (Figure 6).The steps for determining the combination model were the same as for rural digitization performance, but the thresholds were determined differently.The all-round development required that the proportion of each dimension was greater than 30%; the threshold for other types was 33%.

Overall effect analysis of factors
For the rural digitalization sustainable development index, the coefficient of variation and Moran's I were 0.33 and 0.29 (Z = 5.02, p < 1%), respectively, indicating moderate spatial heterogeneity and high positive spatial autocorrelation in rural digitalization sustainability.Hotspots were concentrated in the provincial capital metropolitan area, with members including Liuyang, Pingjiang, Miluo, Ningxiang, Taojiang Xiangxiang and Shaoshan.While coldspots were concentrated in the southwest of Hunan, including Longshan, Yongshun, Yuanling, Guzhang, Lingxi and Chenxi (Figure 8).For the rural digitization state index, the coefficient of variation and Moran's I were 0.24 and 0.34, respectively (Z = 5.61, p < 1%), indicating moderate spatial heterogeneity and high positive spatial autocorrelation in rural digitization construction performance.Hotspots were also concentrated in the provincial capital metropolitan area, with members including Longshan, Yongshun, Yuanling, Hanshou, Guzhang, Lingxi and Chenxi.While coldspots formed three clusters in the western, southeastern, and southwestern corners of Hunan.The first cluster included members such as Yongshun, Yuanling, Guzhang, Chengbu, Xinning and Suining; the second cluster included Jiangyong, Daoxian, Shuangpai, Ningyuan, Lanshan, Xintian and Jiahe; and the third cluster included members such as Chaling, Yanling, Guidong, Zixing, Yongxing and Anren.Overall, the rural digitization in Hunan showed significant spatial effects, and it is necessary to analyze its driving mechanisms using spatial econometric models.
The nature of the factor's effect can be determined based on the maximum and minimum values of the regression coefficients.Gross domestic product, fiscal self-sufficiency rate, and average length of education play a positive role in the rural digitalization sustainability index; urban-rural income ratio plays a negative role, and relief amplitude is both positive and negative.Gross domestic product and average length of education play a positive role in the rural digitalization state index; fiscal self-sufficiency rate plays a negative role, and urban-rural income ratio and relief amplitude are both positive and negative.The strength of the direct influence of the factor can be determined from the average of the regression coefficients.Gross domestic product has a much higher direct influence on the rural digitalization sustainable development index than the other factors, playing a key role, while fiscal self-sufficiency rate, average length of education and fiscal self-sufficiency rate are important factors, and urban-rural income ratio and relief amplitude have a weak influence and play more of an auxiliary role.For the rural digitalization state index, gross domestic product is a key factor, fiscal self-sufficiency rate, average length of education and urban-rural income ratio are importance factors, and relief amplitude is an auxiliary factor (Table 3).

Spatial effect analysis of factors
Economic development is a positive driver of rural digitization in Hunan, including sustainability and performance, and is characterized by gradient changes.For the rural digitization sustainable development index, the influence of gross domestic products decreases from south to north.It has the strongest influence on Changde, Yueyang, Yiyang, and Zhangjiajie regions, and the weakest influence on Yongzhou and Chenzhou.For the rural digitization state index, the influence of gross domestic products increases from west to east.It has the weakest influence on the marginal areas of Huaihua, Shaoyang, and Yongzhou, and the strongest influence on the regions of Yueyang, Changsha, Xiangtan, and Zhuzhou (Figure 9).
The impact of government intervention capacity on the sustainability of rural digitalization in Hunan is in a hierarchical ring structure, and the impact on performance is characterized by gradient changes.The fiscal self-sufficiency rate has a strong influence on the rural digitization sustainable development index in the peripheral areas, especially in the western regions of Xiangxi and Huaihua.The influence on the central regions is weak, especially in Loudi and Yiyang.The influence of the fiscal self-sufficiency rate on the rural digitization state index is gradually increasing from northwest to southwest, with Xiangxi and Zhangjiajie being depressions, while Chenzhou and Zhuzhou being highlands.It is worth noting that the impact of government intervention capacity on the sustainability and performance of rural digitization development is opposite in nature, with the former being positive and the latter being negative.
The matching of residents' knowledge structure has a gradient effect on rural digitalization, and the spatial pattern of sustainability and performance is symmetrical.The average length of education has the highest impact on the rural digitization sustainable development index in Shaoyang and Huaihua, and the lowest impact on Chenzhou and Zhuzhou.It has the highest influence on the rural digitization state index in Changsha, Xiangtan, Hengyang, and Zhuzhou, and the lowest influence on the Xiangxi and Zhangjiajie.The highlands of its impact on the sustainability and performance of rural digitalization are located in the west and east, and the depressions are located in the southeast and northwest corners of the province, respectively.The common specialty social policy has gradient characteristics for rural digitalization, and there are significant differences in the geographical patterns of sustainability and performance.The influence of urban income ratio on rural digitization sustainable development index is concentrated in the southwest corner, including Huaihua, Shaoyang, and Yongzhou.
The depressions are concentrated in the north, including Changde and Zhangjiajie.The highland of urban income ratio's influence on the rural digitalization state index is located in Changde, while depressions are concentrated in Chenzhou and Yongzhou.It is worth noting that highlands have a negative impact, while depressions shift from negative to positive.The natural environment has a very complex impact on rural digital in terms of sustainability and performance, both in positive and negative directions, with quite different geographic patterns of driving forces.The impact of relief amplitude on the rural digitization sustainable development index shows a spatial feature of gradient changes from west to east.Its highlands are located in the western part of the province, especially in Huaihua and Xiangxi, playing a negative restraining role.Its depressions are in the eastern part, including Zhuzhou, Chenzhou, and Changsha, with the force changing from negative to positive.The impact of relief sampling on the rural digitization state index is characterized by clustering, forming three clusters (in embryonic form only) in the northern, southwestern, and southeastern parts of Hunan.The highlands of positive influence are located in Shaoyang, while the depressions of negative influence are mostly in Changde and Zhangjiajie.

Interaction effect analysis of factors
Different factors had significant synergy effect rather than antagonistic effect when they worked together, but there was variability in different aspects.For the rural digitization sustainable development index, all interaction relationships between factor pairs are nonlinearly enhanced.For the rural digitization state index, except for the gross domestic product (X 1 ) and urban-rural income ratio (X 4 ), gross domestic product (X 1 ) and relief amplitude (X 5 ), urban-rural  income ratio (X 4 ) and relief amplitude (X 5 ), other factor pairs belong to the nonlinear enhancement.From the perspective of influence intensity, the interactive effect of factors on the sustainability of rural digitalization is stronger than performance, and there is a large number of super interaction factor pairs, with the combined force close to or even more than twice the single factor force.In terms of rural digitization sustainable development index, super factor pairs are closely related to economic development, government intervention capacity, matching of residents' knowledge structure, common prosperity social policy.There are a large number of super factor pairs, including gross domestic product (X 1 ) and fiscal self-sufficiency rate (X 2 ), gross domestic product (X 1 ) and average length of education (X 3 ), gross domestic product (X 1 ) and urban-rural income ratio (X 4 ), fiscal self-sufficiency rate (X 2 ) and average length of education (X 3 ), fiscal self-sufficiency rate (X 2 ) and urban-rural income ratio (X 4 ), average length of education (X 3 ) and urban-rural income ratio (X 4 ).In terms of rural digitization state index, super factor pairs are only closely related to matching of residents' knowledge structure.The number of super factor pairs is relatively small, including gross domestic product (X 1 ) and average length of education (X 3 ), fiscal self-sufficiency rate (X 2 ) and average length of education (X 3 ), fiscal self-sufficiency rate (X 2 ) and urban-rural income ratio (X 4 ), average length of education (X 3 ) and urban-rural income ratio (X 4 ) (Table 4).

Discussion
4.1 Moving from performance to sustainability evaluation

Commonality
First, whether for rural digitalization sustainability or construction performance, the development gap in different regions should be emphasized, and the geographical distribution is characterized by significant spatial heterogeneity and correlation.It should be general rule, supported by similar conclusions reached by other scholars in their study.For example, a similar phenomenon is found in provinces such as Guangxi (Li, 2023c) and Gansu (Zhang, 2023c), and also found at macroscopic provincial scales (Hao, 2022;Zhang, 2023a), regional scales (Yellow River Basin) (Ren, 2022), and national scales (Billon, 2010;Zhu, 2022).
Second, rural digitalization is at a low level in both sustainability and construction performance, and the large heterogeneity across different dimensions contributes to a diversified combination pattern.Most scholars now agree that rural digitization performance and development sustainability levels need to be improved, but there is less attention paid to the research on its systemic complexity, making it difficult to put forward appropriate policy recommendations.The construction of digital villages is a systematic project that involves a number of subsystems, such as the construction of new digital infrastructures, agricultural production, farmers' lives and spatial governance.The timing and difficulty of building the different subsystems varies greatly, and few regions are currently able to synchronize the development of all subsystems.The asynchrony of construction in different dimensions creates great constraints on the rural digitalization sustainability.Most regions need to identify the development status of different dimensions to choose the model that suits their development capacity and conditions from the 16 combinations.In addition, the behavior of interest subjects and regional development environment have a great impact on the rural digitalization sustainable development, and a complex adaptive system with causal interaction relationship has come into being among pressure, state and response.Management policy design requires identifying the PSR portfolio model for each region and developing targeted measures and projects in accordance with the driving mechanisms.

Difference
First, the performance of rural digital construction is inconsistent with the evaluation results of development sustainability.For example, Liuyang, Changsha, Linxiang, Nan, Yuanjiang, Lengshuitan, Zhijiang have good construction performance against low development sustainability.The inconsistency is the result of the influence of national and provincial government policies, such as the "face-saving projects" of local governments during rural digitization.Especially in the construction of new digital infrastructure, the government focuses a large amount of funds on short-term blitz construction, while less investment in later utilization and maintenance leads to a mismatch between the supply of digital facilities and the demand of residents, and a low application rate.For example, the intelligent large screen and the rural digitalization one map system have become the "standard configurations" of most digital villages, especially the national and provincial pilots.However, despite the large scale of investment, they have become "instagrammable spots" for leaders and experts in their visit instead of locations with much value for many villages, resulting in investment waste.In addition, Pingjiang, Dongan, Anren, Fenghuang, Xinhuang, Xupu, Yongxing, Shuangqing, Hengshan, Xiangtan, Lukou, and You have low construction performance but high levels of development sustainability.Inconsistency may be due to the fact that they have found a construction model that works for them.
Although not in a leading position in the region, the level of digitization of facilities, production, life and governance matches their own basic conditions and environmental pressures, and the needs and behaviors of the stakeholders, thus achieving high-quality development.
Second, there are large differences in the mechanisms driving rural digitalization performance and development sustainability, and the nature, intensity, spatial effects and interactions of the same factor on them are not identical.For example, average length of education (matching of residents' knowledge structure) playing a positive role is a key factor for the rural digitalization sustainable development index (rural digitalization sustainability), and a key factor for the rural digitalization state index (rural digitalization construction performance); the spatial effect changes from high levels in the southwest and low levels elsewhere to high levels in the east and low levels in the northwest (Figure 10).

Spatial policy: planning zoning management
In the past, the central and local governments preferred to design unified planning and policies in the practice of rural digitalization and urbanization, leading to poor implementation performance (Zhang, 2021).The digitalization in Hunan is geographically unequal and unbalanced, with geographical clustering and spatial heterogeneity characterizing both construction performance and development sustainability.Therefore, in the process of policy design, it is necessary to adapt to local conditions and implement differentiated management based on the evaluation results of construction performance and sustainability in Sections 3.1, 3.2.Based on the coordination between rural digitalization construction performance and development sustainability as well as their geographic distribution and spatial effect characteristics, Hunan is divided into four policy zonings: leading, potential, warning, and general zones (Table 5).For the leading zone, the performance of rural digitalization construction is in harmony with the sustainability of development, and they have at least one index more than 0.5.Bwangcheng, Changsha, Liuyang, Ningxiang, Shaoshan and other regions are leading zones and they should further invest in the future to cultivate themselves as a business card of Hunan to participate in national and global competition.
Counties with the sustainability of rural digitalization much higher than construction performance are assigned to the potential zone, including You, Chaling, Yanfeng, Nanyue, Hengdong, Daxiang, Suining, and Chengbu.In the future, they should be given priority in related fields such as funds, policies and talents, so as to drive further improvements in construction performance and development sustainability, and to build themselves into new provincial leaders in Hunan with high-quality rural digitization.
Counties with rural digitalization sustainability far lower than the construction performance are put into the warning zone, including Qidong, Dingcheng, Cili, Nan, Taojiang, Beihu, and Lingling.In the future, it is necessary to limit investment in their constructive projects and increase investment in the maintenance and management of facilities, so as to raise the level of development sustainability, and to weaken and avoid the waste of resources.All other counties are classified in the general zone, which has a large number of members, including Lukou, Yanling, Liling, Xiangtan, Xiangxiang, Zhuhui, Hengyang, Hengnan, Hengshan, Leiyang, and Changning.The majority of general zone members rely on the market to explore and establish endogenous development models; while a few realize leapfrog development with the help of external assistance based on the rural tourism and scenic spot development, rural cultural heritage, historical heritage and traditional village protection projects.It should be noted that as the rural digitalization is still in its infancy and faces many dilemmas and challenges.Therefore, in order to improve efficiency and effectiveness, Hunan should prioritize development resources and factors towards the first three types of policy zones to better play the role of guidance and (Adamowicz, 2020;Wang, 2021).Rural digital development policy and planning used to be prepared independently by local governments and was highly closed.The multi-city comparative analysis of Hunan reveals strong spatial autocorrelation of rural digitalization between different cities, and interactions between neighboring cities in terms of construction performance and sustainability.Therefore, rural digitalization policies should be integrated and coordinated with spatial planning and design in the future, and local governments should strengthen cooperation with other cities in policy and planning design, implementation and management.Cooperation is available in both intra-group and inter-group forms, with the former referring to cooperation between different cities within the same policy area, and the latter referring to cooperation between cities that are in different policy areas but highly spatially correlated with each other.Intra-group cooperation highlights regularity and commonality, with its focus on the generalized work of rural digital construction and the joint promotion of regional projects; inter-group cooperation highlights distinctiveness and differences, focusing on seeking staggered development and learning from other leading cities to catch up with them.For cities with a high degree of inter-group correlation, those lagging behind in rural digitalization should, by benchmarking, clarify their own future development goals and directions, and the road map and timetable for catching up; those in the lead should timely summarize their own successful experience, design the standards and norms for the construction of digital villages, and, by taking the initiative to establish a "peer-topeer" partnership with those lagging behind, give full play to their own regional demonstration effect and driving power, and create a brand image.
Rural digital development policies and spatial planning were generally made in the past by agriculture and rural administration alone, and they were therefore monolithic and independent.The previous analysis shows that rural digitization performance and development sustainability are affected by many factors, and there are significant interactions between different factors.Therefore, it is necessary to introduce more government departments in the design, implementation and management of future rural digitalization policies and spatial planning, and strengthen the coordination and cooperation between different government departments, so as to effectively exert policy effects and release policy dividend based on a "combination of policies."According to the acting forces of influencing factors, combined with the main tasks of rural digitalization, Hunan should establish a leading group for digital village construction early in the future.The leader of the group should be the first person in charge of the local government, and the participants should include the Bureau of Agriculture and Rural Affairs, the Office of Internet Information, the Development and Reform Commission, the Science and Technology Bureau, the Bureau of Industry and Information Technology, the Bureau of Finance, and the Bureau of Transportation.Besides, highly related companies such as China Telecom, China Unicom and China Mobile, and administration of power supply, should be members of the group.In response to the problems facing rural digitalization of Hunan, all departments should work together to develop policies on finance, land, human resources, information infrastructure, smart agriculture, e-commerce, population, and clarify the division of labor and responsibilities among the departments, the routes of implementation, and the timeline.And they should design multi-policy combination schemes based on the interactions between different factors to enhance the relevance and synergy between different policies and to gain optimal policy performance.

Conclusion
Rural digitization has become the new trend of rural revitalization, and this paper empirically investigated Hunan Province of China based on a combination of many methods such as PSR, TOPSIS, ESDA, GWR and GeoDetector.The findings are as follows: First, sustainability and construction performance in rural digitalization in Hunan were characterized by significant spatial inequality, with coefficients of variation of 0.33 and 0.24.The cities, varying greatly from each other, were classified into high, medium and low levels and were distributed in clusters or bands.In addition, rural digitalization sustainable development and construction performance showed significant spatial correlation effects, with Moran's I of 0.29 and 0.34, respectively.Most of the hotspots were clustered in the provincial capital metropolitan area, while the coldspots were in the west and extended to the southwest and southeast corners.
Second, the rural digitalization in Hunan showed significant non-equilibrium across different dimensions and brought forward diversified combination patterns, including single dimensional leadership, dual dimensional leadership, three-dimensional leadership, and all-round development.From the perspective of rural digitalization construction performance, 15 combination Third, the sustainability of rural digitalization and construction performance in Hunan is subject to complex driving mechanisms, and there are great differences in the nature, intensity, spatial effects and interactions between different influencing factors, which have a significant impact on the multi-policy combination scheme and its implementation.Economic development (gross domestic product) is a positive key factor, and the spatial effects of development sustainability are high in the south and low in the north, and high in the northeast and low in the southwest for construction performance.Government intervention capacity (fiscal self-sufficiency rate) is an important factor, playing a positive driving role of edge high and center low on development sustainability, and a negative constraining role of high in the southeast and low in the northwest on construction performance.Matching of residents' knowledge structure (average length of education) is a positive key factor affecting the rural digitalization sustainability, with a spatial effect of high levels in the southwest and low levels elsewhere; it is also a positive important factor affecting construction performance, with a spatial effect of high levels in the east and low levels in the northwest.Common prosperity social policy (urban-rural income ratio) is a negative auxiliary factor affecting the rural digitalization sustainability, characterized by high levels in the southwest and low levels in the north; it is also a mixed (both positive and negative) important factor affecting construction performance, characterized by high levels in the north and low levels in the south.The natural environment (relief amplitude) is a mixed auxiliary factor, with spatial effects of high levels in the east and low levels in the west in development sustainability, and positive high levels in the southwest and negative high levels in the north in construction performance.There are significant synergistic effects between different factors, and their interaction is mainly characterized by nonlinear enhancement, with the factor-pair interaction effect of development sustainability stronger than that of construction performance.
Fourth, it is recommended that policy design should be tailored to local conditions with implementation of differentiated management, while emphasis should be placed on integration and coordination, and cooperation with neighboring counties should be strengthened.Based on the coordination of rural digital construction performance and development sustainability, as well as their geographic distribution and spatial effect characteristics, Hunan is divided into four planning zonings of leading, potential, warning and general zones, and it is recommended that the government implement differentiated spatial management policies.And sufficient attention should be given to the spatial and interactive effects of factor actions in policy design, especially super factor pairs such as gross domestic product (X 1 ) and average length of education (X 3 ), fiscal self-sufficiency rate (X 2 ) and average length of education (X 3 ), fiscal selfsufficiency rate (X 2 ) and urban-rural income ratio (X 4 ), average length of education (X 3 ) and urban-rural income ratio (X 4 ), to create more reasonable and practical policy combinations for development projects and management policies.In addition, the fact that construction performance is much higher or lower than development sustainability is a cause for concern, and the government should implement different management policies for them, as failure to do so will lead to unsatisfactory or even ineffective implementation of management policies.In rural digitization performance, the single dimension leading type especially I, IL, IG holds a dominant position; in terms of development sustainability, dual dimension leading type especially PS is dominant.The spatial effects and interactions of economic development (gross domestic product), matching of residents' knowledge structure (average length of education), natural environment (relief amplitude) are different, and the action nature, spatial effects and interactions of government intervention capacity (fiscal self-sufficiency rate) are different; and the action nature, intensity, spatial effects and interactions of common prosperity social policy (urban-rural income ratio) are different.
It should be noted that there are some limitations in this paper.For example, due to the shortage of data, this paper only carries out the analysis of cross-sectional data with no analysis of time-series and panel data, resulting in impossibility to determine the changing trend of rural digitalization sustainability and construction performance.In summary, sustainability of rural digitalization has a richer connotation than construction performance.The former is more appropriate for the current and future mature stages of rural digitalization, while the latter is more appropriate for its past start-up stages.Digital and smart villages are complex adaptive systems, and promoting mutual synergy and coupling of different subsystems is an important way to realize sustainable development and also an important direction for our future research.For example, Rural Infrastructure Digitalization, Rural Economy Digitalization, Rural Governance Digitalization and Rural Life Digitalization are four subsystems of digital and smart villages, and the coupling coordination between them is an important indicator to show the soundness of the entire rural digitalization system.Scholars are not currently paying enough attention to it.In the context of high-quality and sustainable rural digitalization, the analysis of the coupling coordination between different subsystems is a new direction worthy of future in-depth research.Therefore, we call on more scholars to shift their focus of research from construction performance to development sustainability, to promote rural digitization towards high-quality from a broader perspective and based on comprehensive systematic thinking.

FIGURE 1
FIGURE 1Hunan province and its location in China.

FIGURE 2 Frontiers
FIGURE 2Spatial clustering of rural digitalization construction performance in Hunan province.

FIGURE 3
FIGURE 3Combination patterns analysis of different dimensions in rural digitalization construction performance.Note: The dashed line represents that this pattern has not appeared in Hunan province.

FIGURE 4
FIGURE 4Construction performance of rural digitalization in Hunan province from different dimensions.

FIGURE 5
FIGURE 5Sustainability evaluation of rural digitalization in Hunan province.

FIGURE 6
FIGURE 6Combination patterns analysis of different dimensions in rural digitalization sustainability.

FIGURE 7
FIGURE 7Sustainability evaluation of rural digitalization in Hunan from different dimensions.

FIGURE 8
FIGURE 8Spatial correlation analysis of rural digital development in Hunan province.

FIGURE 9
FIGURE 9Geographical weighted regression results of impact factors on the performance and sustainability of rural digitization in Hunan province.

FIGURE 10
FIGURE 10Driving mechanism of rural digitization in Hunan province.

TABLE 1
Index system for sustainable development evaluating of rural digitalization.
Number of people engaged in scientific research, professional, information, and technical services

TABLE 2
Factor selection in GWR and GeoDetector analysis.

TABLE 3
Descriptive statistical analysis of geographically weighted regression results in hunan province.

TABLE 4
Interaction detection analysis results.

TABLE 5
Planning zoning for spatial management policy of rural digitization in Hunan province.