How Can Digital–Real Integration Affect High-Quality Development of the Regional Economy? Evidence from China
Abstract
1. Introduction
2. Theoretical Analysis and Hypothesis Formulation
2.1. Theoretical Basis
2.1.1. Spillover Effect Theory
2.1.2. Core-Periphery Theory
2.2. The Impact of DRI on HQD
2.3. Mechanisms of DRI on GI
2.3.1. Industrial Structure
2.3.2. Scientific and Technological Innovation
2.4. The Spatial Spillover Effects of DRI on HQD
3. Indicator Measurement and Metric Models
3.1. Variable Measure
3.1.1. Explained Variable
3.1.2. Explanatory Variable
- Positive Indicators
- Negative Indicators
- Calculate the information entropy of each indicator, where M represents the number of years evaluated
- Calculate the information entropy redundancy and the required indicator weight .
- Calculate the scores for digital economy, real economy, and high-quality economic development levels based on the indicator proportions and corresponding weights .
3.1.3. Control Variables
3.1.4. Mechanism Variables
3.2. Measurement Model Setting
3.2.1. Baseline Regression Model
3.2.2. Mediation Effect Model
3.2.3. Spatial Measurement Model
3.2.4. Classification of Coupling Coordination Degree
3.3. Data Sources and Descriptive Statistics
4. Results and Analysis
4.1. Analysis of Integration Measure Results
4.2. Baseline Regression
4.3. Robustness Test
4.3.1. Exclude Exceptional Years
4.3.2. Replace the Model
4.4. Endogeneity Test
4.5. Heterogeneity Analysis
4.6. Mechanism Analysis
4.7. Analysis of the Spatial Spillover Effect
4.7.1. Spatial Correlation Analysis
4.7.2. Spatial Metric Analysis
- 1
- LM Test
- 2
- LR Test
5. Discussion
6. Conclusions
6.1. Findings
6.2. Policy Recommendations
6.3. Limitations and Further Research
Author Contributions
Funding
Data Availability Statement
Conflicts of Interest
References
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| Target | Indicators | Measures |
|---|---|---|
| Innovation | R&D expenditure intensity | Regional R&D expenditure/GDP |
| R&D personnel expenditure intensity | Number of regional R&D personnel/People | |
| Science and technology financial expenditure intensity | Science and technology financial expenditure/General public finance budget expenditure | |
| Human capital | Number of students in regular institutions of higher learning/people | |
| Per capita number of patent application authorizations | Number of domestic invention patents application authorizations/People | |
| The proportion of the technology market turnover | Technology market turnover/GDP | |
| Co-ordination | Proportion of the tertiary industry | The added value of the tertiary industry/GDP |
| The growth rate of the industrial added value above scale | The growth rate of industrial added value above scale | |
| Disposable income difference between urban and rural residents | Urban per capita disposable income/Per capita disposable income of rural residents | |
| Differences in consumption expenditure between urban and rural residents | Per capita consumption expenditure of urban residents/Per capita consumption expenditure of the national rural residents | |
| Per capita GDP ratio | Per capita GDP per province/National per capita GDP | |
| Price stabilization | Consumer price index | |
| Stabilization of employment | Registered unemployment/Permanent population | |
| Green | Percentage of forest cover | Real coverage of forest/Total land area |
| Green coverage rate of the built district | Greening area of built-up area/Total built-up area | |
| Park area per capita | Per capita public green space area | |
| The degree of centralized treatment of sewage | Centralized Treatment Rate of Sewage Treatment Plant | |
| Harmless treatment ratio for house refuse | Harmless treatment capacity of domestic waste/Production waste generation | |
| Energy consumption per unit GDP | Total energy consumption/GDP | |
| Solid waste emissions per unit of GDP | Solid waste emissions/GDP | |
| Opean | Ratio of dependence on foreign trade | Total import and export of goods |
| Degree of foreign capital dependency | Actual use of foreign investment | |
| Share | On average, every 10,000 people own a road | Highway mileage/People |
| Investment in education funds | Education budget expenditure/Total expenditure of the financial budget | |
| Per capita possession of public library collections | — | |
| Number of hospital beds per 10,000 people | — | |
| The number of practicing (assistant) doctors per 10,000 people | — | |
| The proportion of fiscal social security and employment expenditure | Fiscal expenditure on social security and employment/GDP | |
| Coverage rate of pension insurance for urban workers | Coverage rate of pension insurance for urban workers |
| Target | Indicators | Measures |
|---|---|---|
| Digital economy | Development of digital financial inclusion | Digital Inclusive Finance Index |
| Proportion of telecommunication services | Total telecommunications service/GDP | |
| Employees related to the digital economy. | Employees in IT, computer services, and the software industry/People | |
| Internet market size | Internet broadband access users/People | |
| Mobile Internet Market Size | Cell phone subscribers/100 people | |
| Real economy | Scale of development of the real economy | Industrial added value/GDP |
| Secondary industry added value/GDP | ||
| Total exports and imports of goods | ||
| Number of industrial enterprises above the designated size | ||
| Quality of development of the real economy | Employees in the real sector/Total employment | |
| Total retail sales of consumer goods | ||
| Total profit of industrial enterprises above the designated size |
| Interval | Grade | Interval | Grade |
|---|---|---|---|
| [0, 0.1) | Extreme disorder | [0.5, 0.6) | Reluctant imbalance |
| [0.1, 0.2) | serious imbalance | [0.6, 0.7) | Primary imbalance |
| [0.2, 0.3) | Moderate imbalance | [0.7, 0.8) | Intermediate imbalance |
| [0.3, 0.4) | Mild disorders | [0.8, 0.9) | Good imbalance |
| [0.4, 0.5) | On the verge of disorder | [0.9, 1] | High-quality imbalance |
| Type | Variables | Obs | Mean | Std. Dev. | Min | Max |
|---|---|---|---|---|---|---|
| Explained variable | HQD | 341 | 15.120 | 1.744 | 0.488 | 18.287 |
| Explanatory variable | DRI | 341 | 0.461 | 0.165 | 0.150 | 0.884 |
| EDU | 341 | 9.328 | 1.085 | 5.330 | 12.560 | |
| INF | 341 | 17.400 | 5.086 | 4.370 | 26.780 | |
| ENV | 341 | 11.608 | 1.380 | 6.474 | 13.939 | |
| INVEST | 341 | 4.313 | 0.433 | 3.044 | 4.989 | |
| Control variables | FDI | 341 | 1.743 | 1.713 | 0.039 | 9.545 |
| MARKET | 341 | 8.261 | 2.223 | 1.124 | 12.725 | |
| TR | 341 | 0.247 | 0.254 | 0.011 | 1.197 | |
| IFS | 341 | 11.170 | 5.995 | 1.731 | 28.757 | |
| Mechanism variables | ISU | 341 | 1.441 | 0.754 | 0.716 | 5.234 |
| TECH | 341 | 2.221 | 1.582 | 0.333 | 6.543 |
| Variables | VIF | 1/VIF |
|---|---|---|
| DRI | 4.92 | 0.203056 |
| EDU | 3.71 | 0.269465 |
| INF | 1.78 | 0.562608 |
| ENV | 1.97 | 0.507143 |
| INVEST | 3.06 | 0.326499 |
| FDI | 1.60 | 0.623834 |
| MARKET | 5.28 | 0.189458 |
| TR | 4.73 | 0.211622 |
| IFS | 1.46 | 0.684408 |
| ISU | 3.36 | 0.297919 |
| TECH | 4.36 | 0.229150 |
| Mean VIF | 3.29 |
| (1) | (2) | |
|---|---|---|
| HQD | HQD | |
| DRI | 4.810 *** | 4.422 *** |
| (0.461) | (0.532) | |
| EDU | 0.217 *** | |
| (0.075) | ||
| INF | −0.008 | |
| (0.007) | ||
| ENV | −0.004 | |
| (0.020) | ||
| INVEST | −0.080 | |
| (0.074) | ||
| FDI | 0.030 *** | |
| (0.011) | ||
| MARKET | −0.057 ** | |
| (0.024) | ||
| TR | 0.957 *** | |
| (0.241) | ||
| IFS | −0.024 *** | |
| (0.005) | ||
| Constant | 13.486 *** | 12.594 *** |
| (0.143) | (0.790) | |
| Observations | 341 | 341 |
| R-squared | 0.536 | 0.597 |
| Individual effect | YES | YES |
| Time effect | YES | YES |
| F | 31.44 | 22.67 |
| (1) | (2) | |
|---|---|---|
| HQD | HQD | |
| DRI | 3.864 *** | 3.010 *** |
| (0.557) | (0.623) | |
| EDU | 0.264 *** | |
| (0.081) | ||
| INF | −0.008 | |
| (0.008) | ||
| ENV | −0.044 * | |
| (0.026) | ||
| INVEST | −0.014 | |
| (0.083) | ||
| FDI | 0.038 *** | |
| (0.013) | ||
| MARKET | −0.047 * | |
| (0.026) | ||
| TR | 0.825 *** | |
| (0.267) | ||
| IFS | −0.033 *** | |
| (0.007) | ||
| Constant | 13.770 *** | 12.870 *** |
| (0.171) | (0.937) | |
| Observations | 248 | 248 |
| R-squared | 0.475 | 0.580 |
| Individual effect | YES | YES |
| Time effect | YES | YES |
| F | 23.60 | 17.31 |
| (1) | (2) | |
|---|---|---|
| HQD | HQD | |
| DRI | 4.810 *** | 4.422 *** |
| −0.432 | −0.492 | |
| EDU | 0.217 *** | |
| −0.069 | ||
| INF | −0.008 | |
| −0.006 | ||
| ENV | −0.004 | |
| −0.018 | ||
| INVEST | −0.080 | |
| −0.069 | ||
| FDI | 0.030 *** | |
| −0.010 | ||
| MARKET | −0.057 ** | |
| −0.022 | ||
| TR | 0.957 *** | |
| −0.222 | ||
| IFS | −0.024 *** | |
| −0.005 | ||
| Constant | 14.682 *** | 12.784 *** |
| −0.218 | −0.940 | |
| Observations | 341 | 341 |
| Individual effect | YES | YES |
| Time effect | YES | YES |
| (1) | (2) | |
|---|---|---|
| Stage 1 | Stage 2 | |
| DRI | HQD | |
| Delayed Phase DRI | 0.7845 *** | |
| (0.0286) | ||
| DRI | 4.9577 *** | |
| (0.6577) | ||
| EDU | 0.0021 | 0.1279 * |
| (0.0041) | (0.0738) | |
| INF | −0.0010 *** | −0.0095 |
| (0.0004) | (0.0066) | |
| ENV | −0.0008 | 0.0034 |
| (0.0010) | (0.0187) | |
| INVEST | 0.0013 | −0.1251 * |
| (0.0042) | (0.0757) | |
| FDI | 0.0007 | 0.0281 ** |
| (0.0006) | (0.0109) | |
| MARKET | −0.0003 | −0.0692 *** |
| (0.0014) | (0.0247) | |
| TR | 0.0168 | 1.1639 *** |
| (0.0143) | (0.2597) | |
| IFS | 0.0001 | −0.0250 *** |
| (0.0003) | (0.0053) | |
| Non-identifiable test | 207.063 *** | |
| Weak Instrumental Variables Test | 751.264 | |
| Observations | 310 | 310 |
| Individual effect | YES | YES |
| Time effect | YES | YES |
| Statistical Measure | Statistical Value |
|---|---|
| F p value | 0 |
| F (2320) | 134.99 |
| The East Region | The Central Region | The Eastern Region | |
|---|---|---|---|
| DRI | 3.460 *** | 0.890 | 3.575 ** |
| (0.678) | (1.194) | (1.390) | |
| EDU | 0.476 *** | −0.141 | 0.146 |
| (0.103) | (0.126) | (0.136) | |
| INF | 0.030 *** | 0.005 | −0.041 *** |
| (0.010) | (0.016) | (0.012) | |
| ENV | −0.043 * | 0.017 | 0.023 |
| (0.023) | (0.037) | (0.040) | |
| INVEST | −0.241 *** | 0.006 | 0.261 |
| (0.091) | (0.095) | (0.191) | |
| FDI | 0.031 *** | 0.045 | 0.039 |
| (0.011) | (0.034) | (0.057) | |
| MARKET | −0.026 | −0.016 | −0.089 ** |
| (0.033) | (0.067) | (0.042) | |
| TR | 0.573 ** | 8.717 *** | 1.968 ** |
| (0.233) | (1.362) | (0.835) | |
| IFS | −0.006 | −0.009 | −0.035 *** |
| (0.008) | (0.008) | (0.009) | |
| Constant | 11.154 *** | 14.767 *** | 11.488 *** |
| (1.068) | (1.597) | (1.500) | |
| Observations | 143 | 66 | 132 |
| R-squared | 0.682 | 0.942 | 0.572 |
| Individual effect | YES | YES | YES |
| Time effect | YES | YES | YES |
| F | 12.51 | 35.32 | 7.104 |
| (1) | (2) | (3) | |
|---|---|---|---|
| HQD | ISU | TECH | |
| DRI | 4.422 *** | 1.249 *** | 10.562 *** |
| (0.532) | (0.385) | (1.136) | |
| EDU | 0.217 *** | −0.072 | −0.026 |
| (0.075) | (0.054) | (0.159) | |
| INF | −0.008 | −0.005 | 0.007 |
| (0.007) | (0.005) | (0.014) | |
| ENV | −0.004 | 0.011 | −0.099 ** |
| (0.020) | (0.014) | (0.042) | |
| INVEST | −0.080 | 0.009 | 0.061 |
| (0.074) | (0.054) | (0.159) | |
| FDI | 0.030 *** | −0.020 ** | 0.037 |
| (0.011) | (0.008) | (0.024) | |
| MARKET | −0.057 ** | −0.069 *** | −0.133 ** |
| (0.024) | (0.018) | (0.052) | |
| TR | 0.957 *** | −0.574 *** | −0.245 |
| (0.241) | (0.174) | (0.514) | |
| IFS | −0.024 *** | −0.009 ** | −0.044 *** |
| (0.005) | (0.004) | (0.011) | |
| Constant | 12.594 *** | 2.186 *** | 1.514 |
| (0.790) | (0.572) | (1.684) | |
| Observations | 341 | 341 | 341 |
| R-squared | 0.597 | 0.598 | 0.487 |
| Individual effect | YES | YES | YES |
| Time effect | YES | YES | YES |
| F | 22.67 | 22.74 | 14.52 |
| Year | Moran I | Z | p |
|---|---|---|---|
| 2013 | 0.3671 | 3.4151 | 0.0006 |
| 2014 | 0.3786 | 3.5131 | 0.0004 |
| 2015 | 0.4289 | 3.9244 | 0.0001 |
| 2016 | 0.4303 | 3.9216 | 0.0001 |
| 2017 | 0.4196 | 3.8507 | 0.0001 |
| 2018 | 0.3966 | 3.6569 | 0.0003 |
| 2019 | 0.3923 | 3.6225 | 0.0003 |
| 2020 | 0.4035 | 3.7334 | 0.0002 |
| 2021 | 0.4333 | 3.9866 | 0.0001 |
| 2022 | 0.4445 | 4.0705 | 0.0000 |
| 2023 | 0.4535 | 4.1229 | 0.0000 |
| Test | df | Statistic | p-Value | |
|---|---|---|---|---|
| Spatial error | Moran’s I | 1 | 0.459 | 0.646 |
| Lagrange multiplier | 1 | 0.701 | 0.402 | |
| Robust Lagrange multiplier | 1 | 0.469 | 0.494 | |
| Spatial lag | Lagrange multiplier | 1 | 3.331 | 0.068 |
| Robust Lagrange multiplier | 1 | 3.098 | 0.078 | |
| Test | Statistic | p-Value | |
|---|---|---|---|
| Hausman Test | 121.27 | 0.000 | |
| LR Test | Double fixed-individual | 78.62 | 0.000 |
| Double fixation–time | 719.22 | 0.000 | |
| (1) | (2) | (3) | |
|---|---|---|---|
| Direct Effect | Indirect Effect | Gross Effect | |
| DRI | 1.295 *** | 0.266 ** | 1.561 *** |
| (0.264) | (0.126) | (0.306) | |
| EDU | 0.184 *** | 0.038 * | 0.222 *** |
| (0.064) | (0.022) | (0.077) | |
| INF | −0.009 | −0.002 | −0.011 |
| (0.007) | (0.002) | (0.008) | |
| ENV | 0.019 | 0.004 | 0.023 |
| (0.019) | (0.005) | (0.023) | |
| INVEST | 0.023 | 0.005 | 0.028 |
| (0.071) | (0.016) | (0.086) | |
| FDI | 0.040 *** | 0.008 * | 0.048 *** |
| (0.012) | (0.005) | (0.015) | |
| MARKET | 0.005 | 0.001 | 0.006 |
| (0.023) | (0.005) | (0.028) | |
| TR | 1.671 *** | 0.354 ** | 2.025 *** |
| (0.224) | (0.179) | (0.316) | |
| IFS | −0.010 *** | −0.002 | −0.013 ** |
| (0.004) | (0.001) | (0.005) | |
| rho | 0.173 ** | ||
| (0.072) | |||
| sigma2_e | 0.044 *** | ||
| (0.004) | |||
| Observations | 310 | 310 | 310 |
| R-squared | 0.703 | 0.703 | 0.703 |
| Individual effect | YES | YES | YES |
| Time effect | YES | YES | YES |
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Zhao, X.; Xia, Y. How Can Digital–Real Integration Affect High-Quality Development of the Regional Economy? Evidence from China. Sustainability 2026, 18, 340. https://doi.org/10.3390/su18010340
Zhao X, Xia Y. How Can Digital–Real Integration Affect High-Quality Development of the Regional Economy? Evidence from China. Sustainability. 2026; 18(1):340. https://doi.org/10.3390/su18010340
Chicago/Turabian StyleZhao, Xin, and Yong Xia. 2026. "How Can Digital–Real Integration Affect High-Quality Development of the Regional Economy? Evidence from China" Sustainability 18, no. 1: 340. https://doi.org/10.3390/su18010340
APA StyleZhao, X., & Xia, Y. (2026). How Can Digital–Real Integration Affect High-Quality Development of the Regional Economy? Evidence from China. Sustainability, 18(1), 340. https://doi.org/10.3390/su18010340
