Spatio-Temporal Characteristics and Influencing Mechanisms of China’s Digital Rural Development: A Panel Data Analysis Across 31 Provinces
Abstract
1. Introduction
2. Research Design
2.1. Development of the Indicator System
2.2. Data Sources
2.3. Research Methodology
2.3.1. Entropy Weight Method
- 1.
- Data standardization:
- 2.
- Calculate the proportion Pij of sample i under the j-th indicator:
- 3.
- Calculate the information entropy Ej of the j-th indicator:
- 4.
- Calculate the information entropy redundancy Dij for the j-th indicator:
- 5.
- Calculate the weight Wj for the j-th indicator:
2.3.2. Dagum Gini Coefficient
2.3.3. Moran’s I Index
- Global Moran’s I: .
- Local Moran’s I: , where .
2.3.4. Spatial Durbin Model
3. Measurement and Analysis of DRD Levels
3.1. Temporal Evolution of DRD Levels
3.2. Spatial Characteristics of DRD Levels
3.3. Regional Variation Analysis
3.4. Spatial Correlation Analysis of DRD Levels
4. Mechanisms Influencing DRD Levels
4.1. Variable Selection
4.2. Model Selection
4.3. Analysis of Influencing Mechanisms
4.4. Robustness Test
5. Conclusions and Policy Implications
Author Contributions
Funding
Institutional Review Board Statement
Informed Consent Statement
Data Availability Statement
Conflicts of Interest
Correction Statement
References
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| Dimension | Indicator Name | Indicator Explanation | Unit | Indicator Attributes | Weighting |
|---|---|---|---|---|---|
| Digital Infrastructure | Internet Penetration Rate | Rural Broadband Subscribers | 104 households | Positive | 0.1017 |
| Computer Penetration Rate | Number of Computers Per 100 Rural Households at Year-End | Units/100 households | Positive | 0.0275 | |
| Smartphone Penetration Rate | Mobile Telephone Ownership Per Hundred Rural Households at Year-End | Units/100 households | Positive | 0.0161 | |
| Economic Digitalization | E-commerce Development Level | Agricultural Product E-Commerce Sales | Billion CNY | Positive | 0.1377 |
| Digital Finance | Rural Inclusive Finance Index Total | Positive | 0.0300 | ||
| Rural E-commerce Service Points | Indicator Number of Taobao Rurals | Number | Positive | 0.2797 | |
| Digital Governance | Capital Investment in Rural Digital Governance | Local Government Expenditure on Urban and Rural Community Affairs | Billion CNY | Positive | 0.0634 |
| Digital Government Human Resource Capacity | Agricultural Technicians in Public Economic Enterprise and Institutions | Name | Positive | 0.0616 | |
| Rural Digital Government Technology Application Level | Ecological and Agricultura Meteorological Experimental Stations | Number | Positive | 0.0633 | |
| Digitalization of Living Standards | Digital Cultural Resources Reaching Rurals and Households | Proportion of Rural Cable Television Subscribers to Total Households | % | Positive | 0.0605 |
| Level of Information Service Consumption | Per Capita Expenditure on Transport and Communications Among Rural Residents | Yuan | Positive | 0.0415 | |
| Information Technology Services | Total Telecommunications Business Revenue | Billion CNY | Positive | 0.1170 |
| Region | Province | 2013 | 2014 | 2015 | 2016 | 2017 | 2018 | 2019 | 2020 | 2021 | 2022 | Average | Rank |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
| Eastern Region | Beijing | 0.1567 | 0.1658 | 0.2012 | 0.2081 | 0.2351 | 0.2615 | 0.2917 | 0.3004 | 0.3124 | 0.3214 | 0.2454 | 5 |
| Tianjin | 0.0865 | 0.0922 | 0.1037 | 0.1228 | 0.1389 | 0.1318 | 0.1466 | 0.1533 | 0.1690 | 0.1698 | 0.1315 | 22 | |
| Hebei | 0.1228 | 0.1425 | 0.1543 | 0.1757 | 0.1965 | 0.2359 | 0.2950 | 0.3244 | 0.3151 | 0.3378 | 0.2300 | 6 | |
| Shanghai | 0.1341 | 0.1702 | 0.1824 | 0.1861 | 0.1913 | 0.2284 | 0.2354 | 0.2395 | 0.2525 | 0.2745 | 0.2094 | 7 | |
| Jiangsu | 0.2195 | 0.2456 | 0.2909 | 0.2984 | 0.3376 | 0.4072 | 0.4818 | 0.5096 | 0.4684 | 0.4899 | 0.3749 | 3 | |
| Zhejiang | 0.1733 | 0.1893 | 0.2473 | 0.2848 | 0.3401 | 0.4212 | 0.5257 | 0.5392 | 0.5746 | 0.6092 | 0.3905 | 2 | |
| Fujian | 0.1073 | 0.1232 | 0.1371 | 0.1536 | 0.1824 | 0.2100 | 0.2692 | 0.2586 | 0.2584 | 0.2856 | 0.1985 | 10 | |
| Shandong | 0.1904 | 0.2004 | 0.2403 | 0.2704 | 0.3157 | 0.3802 | 0.4017 | 0.4442 | 0.4327 | 0.4645 | 0.3341 | 4 | |
| Guangdong | 0.1802 | 0.2002 | 0.2357 | 0.2610 | 0.3500 | 0.4292 | 0.5610 | 0.5819 | 0.5490 | 0.5868 | 0.3935 | 1 | |
| Hainan | 0.0414 | 0.0508 | 0.0627 | 0.0630 | 0.0740 | 0.0939 | 0.1134 | 0.1258 | 0.1375 | 0.1592 | 0.0922 | 28 | |
| Average | 0.1412 | 0.1580 | 0.1856 | 0.2024 | 0.2362 | 0.2799 | 0.3322 | 0.3477 | 0.3470 | 0.3699 | 0.2600 | ||
| Central Region | Shanxi | 0.0815 | 0.0869 | 0.0974 | 0.1100 | 0.1196 | 0.1433 | 0.1600 | 0.1732 | 0.1964 | 0.2311 | 0.1400 | 20 |
| Anhui | 0.0801 | 0.0976 | 0.1157 | 0.1210 | 0.1467 | 0.1835 | 0.2168 | 0.2268 | 0.2104 | 0.2175 | 0.1616 | 15 | |
| Jiangxi | 0.0916 | 0.1056 | 0.1219 | 0.1411 | 0.1613 | 0.1879 | 0.2095 | 0.2107 | 0.1969 | 0.2096 | 0.1636 | 12 | |
| Henan | 0.1076 | 0.1314 | 0.1435 | 0.1612 | 0.1924 | 0.2222 | 0.2863 | 0.2919 | 0.2625 | 0.2684 | 0.2067 | 8 | |
| Hubei | 0.1099 | 0.1145 | 0.1340 | 0.1426 | 0.1587 | 0.1909 | 0.2383 | 0.2544 | 0.2491 | 0.2603 | 0.1853 | 11 | |
| Hunan | 0.0908 | 0.1012 | 0.1173 | 0.1374 | 0.1513 | 0.1813 | 0.2131 | 0.2223 | 0.1963 | 0.2083 | 0.1619 | 14 | |
| Average | 0.0936 | 0.1062 | 0.1216 | 0.1356 | 0.1550 | 0.1848 | 0.2207 | 0.2299 | 0.2186 | 0.2326 | 0.1698 | ||
| Northeast Region | Liaoning | 0.1208 | 0.1348 | 0.1440 | 0.1479 | 0.1573 | 0.1750 | 0.1903 | 0.1940 | 0.1831 | 0.1879 | 0.1635 | 13 |
| Jilin | 0.0959 | 0.1093 | 0.1190 | 0.1206 | 0.1268 | 0.1415 | 0.1483 | 0.1616 | 0.1475 | 0.1464 | 0.1317 | 21 | |
| Heilongjiang | 0.0976 | 0.0980 | 0.1101 | 0.1150 | 0.1260 | 0.1359 | 0.1555 | 0.1477 | 0.1382 | 0.1399 | 0.1264 | 24 | |
| Average | 0.1048 | 0.1140 | 0.1243 | 0.1278 | 0.1367 | 0.1508 | 0.1647 | 0.1678 | 0.1563 | 0.1581 | 0.1405 | ||
| Western Region | Guangxi | 0.0797 | 0.0868 | 0.1046 | 0.1064 | 0.1221 | 0.1547 | 0.1922 | 0.2012 | 0.1878 | 0.1964 | 0.1432 | 19 |
| Inner Mongolia | 0.1015 | 0.1113 | 0.1171 | 0.1215 | 0.1243 | 0.1295 | 0.1503 | 0.1571 | 0.1484 | 0.1519 | 0.1313 | 23 | |
| Chongqing | 0.0914 | 0.1059 | 0.1137 | 0.1208 | 0.1390 | 0.1565 | 0.1745 | 0.1887 | 0.1809 | 0.2082 | 0.1480 | 17 | |
| Sichuan | 0.1136 | 0.1258 | 0.1484 | 0.1579 | 0.1879 | 0.2184 | 0.2679 | 0.2908 | 0.2537 | 0.2845 | 0.2049 | 9 | |
| Guizhou | 0.0560 | 0.0653 | 0.0753 | 0.0860 | 0.1082 | 0.1338 | 0.1657 | 0.1742 | 0.1575 | 0.1745 | 0.1197 | 25 | |
| Yunnan | 0.0873 | 0.0997 | 0.1093 | 0.1077 | 0.1308 | 0.1609 | 0.1894 | 0.2042 | 0.1747 | 0.1791 | 0.1443 | 18 | |
| Tibet | 0.0152 | 0.0220 | 0.0307 | 0.0328 | 0.0359 | 0.0507 | 0.0626 | 0.0634 | 0.0682 | 0.0685 | 0.0450 | 31 | |
| Shaanxi | 0.0937 | 0.1021 | 0.1128 | 0.1239 | 0.1383 | 0.1643 | 0.1873 | 0.1983 | 0.1819 | 0.2018 | 0.1505 | 16 | |
| Gansu | 0.0595 | 0.0741 | 0.0805 | 0.0878 | 0.0995 | 0.1186 | 0.1354 | 0.1411 | 0.1334 | 0.1398 | 0.1070 | 27 | |
| Qinghai | 0.0409 | 0.0515 | 0.0592 | 0.0612 | 0.0676 | 0.0694 | 0.0810 | 0.0850 | 0.0857 | 0.0858 | 0.0687 | 30 | |
| Ningxia | 0.0475 | 0.0524 | 0.0582 | 0.0633 | 0.0718 | 0.0803 | 0.0873 | 0.0916 | 0.0937 | 0.0923 | 0.0738 | 29 | |
| Xinjiang | 0.0685 | 0.0855 | 0.0951 | 0.1003 | 0.1068 | 0.1043 | 0.1293 | 0.1326 | 0.1269 | 0.1365 | 0.1086 | 26 | |
| Average | 0.0712 | 0.0819 | 0.0921 | 0.0975 | 0.1110 | 0.1284 | 0.1519 | 0.1607 | 0.1494 | 0.1599 | 0.1204 | ||
| National | Average | 0.1014 | 0.1143 | 0.1311 | 0.1416 | 0.1624 | 0.1904 | 0.2246 | 0.2351 | 0.2272 | 0.2415 | 0.1770 |
| Dagum Gini Coefficient Measurement Results | |||||||
|---|---|---|---|---|---|---|---|
| Year | Gini Coefficient | Contribution Rate | |||||
| Total | Intra-Regional Gini Coefficient Gw | Inter-Regional Gini Coefficient Gb | Trans-Regional Gini Coefficient Gt | Intra-Regional Contribution Rate Gw | Inter-Regional Contribution Rate Gb | Trans-Regional Density Contribution Rate Gt | |
| 2013 | 0.242 | 0.055 | 0.158 | 0.029 | 22.787% | 65.218% | 11.995% |
| 2014 | 0.232 | 0.052 | 0.151 | 0.029 | 22.378% | 65. 148% | 12.474% |
| 2015 | 0.24 | 0.053 | 0.161 | 0.026 | 22.115% | 66.919% | 10.966% |
| 2016 | 0.244 | 0.052 | 0.168 | 0.024 | 21.378% | 68.762% | 9.860% |
| 2017 | 0.254 | 0.055 | 0.175 | 0.024 | 21.587% | 68.817% | 9.596% |
| 2018 | 0.267 | 0.058 | 0.182 | 0.027 | 21.816% | 68.060% | 10.125% |
| 2019 | 0.278 | 0.063 | 0.184 | 0.031 | 22.555% | 66.345% | 11.100% |
| 2020 | 0.278 | 0.064 | 0.183 | 0.032 | 22.883% | 65.619% | 11.499% |
| 2021 | 0.278 | 0.058 | 0.199 | 0.02 | 21.063% | 71.711% | 7.227% |
| 2022 | 0.282 | 0.06 | 0.2 | 0.022 | 21.175% | 70.993% | 7.832% |
| Year | Moran’s I Index | Expected Value E(I) | Standard Deviation SD (I) | z-Value | p-Value |
|---|---|---|---|---|---|
| 2013 | 0.063 | −0.033 | 0.034 | 2.807 | 0.005 |
| 2014 | 0.072 | −0.033 | 0.034 | 3.074 | 0.002 |
| 2015 | 0.072 | −0.033 | 0.034 | 3.094 | 0.002 |
| 2016 | 0.077 | −0.033 | 0.034 | 3.225 | 0.001 |
| 2017 | 0.058 | −0.033 | 0.034 | 2.669 | 0.008 |
| 2018 | 0.059 | −0.033 | 0.034 | 2.708 | 0.007 |
| 2019 | 0.047 | −0.033 | 0.034 | 2.391 | 0.017 |
| 2020 | 0.041 | −0.033 | 0.034 | 2.217 | 0.027 |
| 2021 | 0.055 | −0.033 | 0.034 | 2.623 | 0.009 |
| 2022 | 0.055 | −0.033 | 0.034 | 2.630 | 0.009 |
| Year | H-H Pattern | L-H Type | L-L Type | H-L Type |
|---|---|---|---|---|
| 2013 | Beijing, Hebei, Liaoning, Shanghai, Jiangsu, Zhejiang, Fujian, Shandong, Henan | Tianjin, Shanxi, Jilin, Anhui, Jiangxi, Hunan, Guangxi, Hainan | Heilongjiang, Chongqing, Guizhou, Yunnan, Tibet, Shaanxi, Gansu, Qinghai, Ningxia, Xinjiang | Inner Mongolia, Hubei, Guangdong, Sichuan |
| 2014 | Beijing, Hebei, Liaoning, Shanghai, Jiangsu, Zhejiang, Fujian, Shandong, Henan | Tianjin, Shanxi, Jilin, Anhui, Jiangxi, Guangxi, Hainan | Inner Mongolia, Heilongjiang, Hunan, Chongqing, Guizhou, Yunnan, Tibet, Shaanxi, Gansu, Qinghai, Ningxia, Xinjiang | Hubei, Guangdong, Sichuan |
| 2015 | Hebei, Shanghai, Jiangsu, Zhejiang, Fujian, Shandong, Henan | Tianjin, Shanxi, Anhui, Jiangxi, Guangxi, Hainan | Inner Mongolia, Jilin, Heilongjiang, Hunan, Chongqing, Guizhou, Yunnan, Tibet, Shaanxi, Gansu, Qinghai, Ningxia, Xinjiang | Beijing, Liaoning, Hubei, Guangdong, Sichuan |
| 2016 | Beijing, Hebei, Shanghai, Jiangsu, Zhejiang, Fujian, Shandong, Henan | Tianjin, Shanxi, Anhui, Jiangxi, Hunan, Guangxi, Hainan | Inner Mongolia, Jilin, Heilongjiang, Chongqing, Guizhou, Yunnan, Tibet, Shaanxi, Gansu, Qinghai, Ningxia, Xinjiang | Liaoning, Hubei, Guangdong, Sichuan |
| 2017 | Beijing, Hebei, Shanghai, Jiangsu, Zhejiang, Fujian, Shandong, Henan | Tianjin, Shanxi, Anhui, Jiangxi, Hunan, Guangxi, Hainan | Inner Mongolia, Liaoning, Jilin, Heilongjiang, Hubei, Chongqing, Guizhou, Yunnan, Tibet, Shaanxi, Gansu, Qinghai, Ningxia, Xinjiang | Guangdong, Sichuan |
| 2018 | Hebei, Shanghai, Jiangsu, Zhejiang, Fujian, Shandong, Henan | Tianjin, Anhui, Jiangxi, Hunan, Guangxi, Hainan | Shanxi, Inner Mongolia, Liaoning, Jilin, Heilongjiang, Chongqing, Guizhou, Yunnan, Tibet, Shaanxi, Gansu, Qinghai, Ningxia, Xinjiang | Beijing, Hubei, Guangdong, Sichuan |
| 2019 | Hebei, Shanghai, Jiangsu, Zhejiang, Fujian, Shandong, Henan | Tianjin, Shanxi, Anhui, Jiangxi, Hunan, Guangxi, Hainan | Inner Mongolia, Liaoning, Jilin, Heilongjiang, Chongqing, Guizhou, Yunnan, Tibet, Shaanxi, Gansu, Qinghai, Ningxia, Xinjiang | Beijing, Hubei, Guangdong, Sichuan |
| 2020 | Beijing, Hebei, Shanghai, Jiangsu, Zhejiang, Fujian, Shandong, Henan | Tianjin, Shanxi, Anhui, Jiangxi, Hunan, Guangxi, Hainan | Inner Mongolia, Liaoning, Jilin, Heilongjiang, Chongqing, Guizhou, Yunnan, Tibet, Shaanxi, Gansu, Qinghai, Ningxia, Xinjiang | Hubei, Guangdong, Sichuan |
| 2021 | Beijing, Hebei, Shanghai, Jiangsu, Zhejiang, Fujian, Shandong, Henan | Tianjin, Anhui, Jiangxi, Hunan, Guangxi, Hainan | Shanxi, Inner Mongolia, Liaoning, Jilin, Heilongjiang, Chongqing, Guizhou, Yunnan, Tibet, Shaanxi, Gansu, Qinghai, Ningxia, Xinjiang | Hubei, Guangdong, Sichuan |
| 2022 | Beijing, Hebei, Shanghai, Jiangsu, Zhejiang, Fujian, Shandong, Henan | Tianjin, Anhui, Jiangxi, Hunan, Guangxi, Hainan | Shanxi, Inner Mongolia, Liaoning, Jilin, Heilongjiang, Chongqing, Guizhou, Yunnan, Tibet, Shaanxi, Gansu, Qinghai, Ningxia, Xinjiang | Hubei, Guangdong, Sichuan |
| Dependent Variable | Comprehensive Score for DRD |
|---|---|
| Explanatory Variables | Urban–rural income disparity, ratio of per capita disposable income of urban residents to that of rural residents |
| Level of Urbanisation, Ratio of Urban Population to Rural Population | |
| Level of scientific and technological innovation, ratio of local government expenditure on science and technology to general budget expenditure | |
| Level of education, ratio of local education expenditure to local general budget expenditure | |
| Industrial structure upgrading, characterised by the proportion of secondary and tertiary industry value-added in GDP | |
| Rural population size, measured by the proportion of rural residents relative to the total regional population | |
| Population age structure, measured using the rural old-age dependency ratio |
| Name | Statistic | p-Value | |
|---|---|---|---|
| Spatial Error Model | LM Test RLM test | 91.286 86.890 | 0.000 0.000 |
| Spatial Lag Model | LM test RLM test | 9.545 5.149 | 0.002 0.023 |
| Wald Test | LR Test | |
|---|---|---|
| Can it be reduced to SAR? | 43.03 *** | 129.57 *** |
| Can it be reduced to SEM? | 46.65 *** | 10.14 *** |
| Variable Name | Coefficient | Variable Name | Coefficient |
|---|---|---|---|
| Urban–Rural Income Gap | −0.3029 (0.2282) | Wx Urban–rural income disparity | 0.5953 (1.6222) |
| Level of Urbanisation | 0.1436 (0.1945) | Wx Urbanisation Level | −0.5422 (1.1628) |
| Level of Technological Innovation | 2.7909 *** (0.3626) | Wx Level of Technological Innovation | 7.1008 *** (2.5995) |
| Industrial Structure Upgrading | 0.1896 (0.2877) | Wx Industrial Structure Upgrading | 5.7718 *** (2.0258) |
| Educational Attainment | 0.1983 (0. 1989) | Wx Educational Attainment | −2.8498 * (1.5453) |
| Rural Population Size | 0.2762 *** (0.0757) | Wx Rural Population Size | 4. 1654 *** (0.5879) |
| Population Age Structure | 0.0047 *** (0.0016) | Wx Population Age Structure | 0.0344 *** (0.0099) |
| p | −1.3209 *** (0.2704) | R2 | 0.0185 |
| Variable Name | Direct Effect | Indirect Effect | Total Effect |
|---|---|---|---|
| Urban–Rural Income | −0.3350 | 0.3559 | 0.0209 |
| Gap | (0.2583) | (0.7501) | (0.6614) |
| Level of urbanization | 0.1682 | −0.3130 | −0.1448 |
| (0.2260) | (0.6740) | (0.5512) | |
| Level of Technological | 2.5647 *** | 1.6057 | 4.1704 *** |
| Innovation | (0.4565) | (1.2614) | (1.1330) |
| Industrial Structure | −0.0213 | 2.6277 *** | 2.6064 *** |
| Upgrading | (0.2718) | (0.9391) | (0.9735) |
| Level of education | 0.3388 * | −1.4208 * | −1.0820 |
| (0. 1957) | (0.7645) | (0.7277) | |
| Rural Population Size | 0.1009 | 1.8512 *** | 1.9521 *** |
| (0.0750) | (0.3765) | (0.3592) | |
| Population Age | 0.0035 ** | 0.0135 ** | 0.0170 *** |
| Structure | (0.0018) | (0.0054) | (0.0049) |
| Variable Name | Coefficient | Variable Name | Coefficient |
|---|---|---|---|
| Urban–Rural Income Gap | −2.0296 ** (0.8918) | Wx Urban–rural income disparity | 9.9550 (6.3167) |
| Level of Urbanisation | 1.9125 ** (0.7572) | Wx Urbanisation Level | 5.9847 (4.6771) |
| Level of Technological Innovation | 2.7909 *** (0.3626) | Wx Level of Technological Innovation | 10.0171 (9.7639) |
| Industrial Structure Upgrading | 11.7251 *** (1.4146) | Wx Industrial Structure Upgrading | 24.6355 *** (7.8647) |
| Educational Attainment | 0.8679 (1.1237) | Wx Educational Attainment | −13.4848 ** (6.0566) |
| Rural Population Size | 1.2205 *** (0.2942) | Wx Rural Population Size | 15.7694 *** (2.3599) |
| Population Age Structure | 0.0184 *** (0.0060) | Wx Population Age Structure | 0.0800 ** (0.0391) |
| p | −0.9413 *** (0.2560) | R2 | 0.0482 |
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Xiong, C.; Xie, J.; Liu, F. Spatio-Temporal Characteristics and Influencing Mechanisms of China’s Digital Rural Development: A Panel Data Analysis Across 31 Provinces. Sustainability 2026, 18, 1808. https://doi.org/10.3390/su18041808
Xiong C, Xie J, Liu F. Spatio-Temporal Characteristics and Influencing Mechanisms of China’s Digital Rural Development: A Panel Data Analysis Across 31 Provinces. Sustainability. 2026; 18(4):1808. https://doi.org/10.3390/su18041808
Chicago/Turabian StyleXiong, Chunlin, Jia Xie, and Fen Liu. 2026. "Spatio-Temporal Characteristics and Influencing Mechanisms of China’s Digital Rural Development: A Panel Data Analysis Across 31 Provinces" Sustainability 18, no. 4: 1808. https://doi.org/10.3390/su18041808
APA StyleXiong, C., Xie, J., & Liu, F. (2026). Spatio-Temporal Characteristics and Influencing Mechanisms of China’s Digital Rural Development: A Panel Data Analysis Across 31 Provinces. Sustainability, 18(4), 1808. https://doi.org/10.3390/su18041808

