Digital Economy, Industry–Academia–Research Collaborative Innovation, and the Development of New-Quality Productive Forces
Abstract
:1. Introduction
2. Theoretical Analysis and Research Assumptions
2.1. The Impact of Digital Economy on New-Quality Productivity
2.2. The Influence of Industry–Academia–Research Collaborative Innovation on the Development of New-Quality Productivity
2.3. The Impact of the Matching Effect of Digital Economy and Industry–Academia–Research Collaborative Innovation on the Development of New-Quality Productivity
3. Research Design
3.1. Model Setting
3.1.1. Selection and Setting of the Spatial Metrology Model
3.1.2. Threshold Model Setting
3.2. Variable Definition
3.2.1. Explained Variable
3.2.2. Explanatory Variable
3.2.3. Control Variable
3.2.4. Data Sources and Descriptive Statistics
4. Empirical Results and Analysis
4.1. Empirical Analysis of the Spatial Econometric Model
4.1.1. Spatial Autocorrelation Analysis
4.1.2. Independent Effect Analysis of Digital Economy and Industry–Academic–Research Collaborative Innovation
4.1.3. Matching Effect Analysis of Digital Economy and Industry–Academic–Research Collaborative Innovation
4.1.4. Robustness Testing
4.2. Decomposition Testing of Spatial Correlation Between the Independent Effect and the Matching Effect
4.3. Empirical Analysis of the Panel Threshold Model
5. Conclusions and Policy Recommendations
5.1. Research Conclusion
5.2. Policy Suggestion
5.3. Discussion
Author Contributions
Funding
Institutional Review Board Statement
Informed Consent Statement
Data Availability Statement
Conflicts of Interest
References
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Primary Index | Secondary Index | Three-Level Index | Measurement Method | Stats |
---|---|---|---|---|
Labor | Human capital input | Scientific input | Annual government expenditure on science | + |
Educational input | Annual government expenditure on education | + | ||
Number of R&D personnel | Full-time equivalent of R&D personnel in industrial enterprises above designated size | + | ||
Labor output | Innovative R&D | Number of domestic patents granted | + | |
Labor skill | Human capital structure | Average number of students enrolled in colleges and universities | + | |
Labor productivity | Per capita output value | Per capita GDP | + | |
Object of labor | Emerging industry | emerging sectors of strategic importance | Output value of high-tech industries of industrial enterprises above designated size | + |
Activity of emerging industries | Total import and export trade | + | ||
Ecological environment | Intensity of environmental protection | Environmental protection expenditure/Government public finance expenditure | + | |
Pollutant discharge | Sulfur dioxide emission | − | ||
Pollutant treatment | Industrial waste gas treatment facilities (set) | + | ||
Means of labor | Level of infrastructure improvement | Traditional infrastructure | Highway mileage | + |
Railway mileage | + | |||
Digital infrastructure | Number of broadband Internet access ports | + | ||
Telecommunications service penetration | Total volume of telecommunication service | + | ||
Energy consumption level | Total energy consumption | Energy consumption | − | |
Scientific and technological innovation | R&D investment | R&D expenditure | + |
Variable | N | Mean | Std. Dev. | Min | Max |
---|---|---|---|---|---|
NPRO | 330 | 0.206 | 0.232 | 0.01 | 1.454 |
DI | 330 | 0.127 | 0.1 | 0.017 | 0.59 |
CXY | 330 | 0.146 | 0.152 | 0.009 | 0.945 |
Open | 330 | 0.265 | 0.268 | 0.008 | 1.354 |
EGdp | 330 | 6.069 | 3.084 | 1.895 | 19.031 |
GS | 330 | 0.113 | 0.032 | 0.058 | 0.245 |
HC | 330 | 0.021 | 0.006 | 0.009 | 0.044 |
LU | 330 | 0.607 | 0.117 | 0.363 | 0.896 |
FE | 330 | 330.416 | 87.255 | 107.07 | 475.26 |
Year | DI | CXY | NPRO |
---|---|---|---|
Moran’s I | Moran’s I | Moran’s I | |
2012 | 0.055 ** (2.493) | 0.011 ** (2.011) | 0.457 *** (4.000) |
2013 | 0.061 *** (2.666) | 0.019 *** (2.096) | 0.443 *** (3.880) |
2014 | 0.065 *** (2.786) | 0.023 *** (2.136) | 0.432 *** (3.796) |
2015 | 0.069 *** (2.914) | 0.036 *** (2.261) | 0.450 *** (3.947) |
2016 | 0.059 *** (2.650) | 0.042 *** (2.313) | 0.418 *** (3.699) |
2017 | 0.055 *** (2.543) | 0.049 *** (2.408) | 0.416 *** (3.698) |
2018 | 0.068 *** (2.913) | 0.055 *** (2.488) | 0.388 *** (3.508) |
2019 | 0.042 ** (2.191) | 0.058 ** (2.498) | 0.391 *** (3.546) |
2020 | 0.043 ** (2.228) | 0.063 ** (2.506) | 0.385 *** (3.504) |
2021 | 0.055 ** (0.982) | 0.067 ** (0.519) | 0.396 *** (3.593) |
2022 | 0.061 ** (1.585) | 0.073 ** (1.626) | 0.377 *** (3.435) |
Variable | SEM | SAR | SDM | |||
---|---|---|---|---|---|---|
Geographic Matrix | Economic Matrix | Geographic Matrix | Economic Matrix | Geographic Matrix | Economic Matrix | |
DI | 0.2411 ** (2.660) | 0.2033 ** (2.421) | 0.2162 ** (1.963) | 0.1372 *** (3.682) | 1.490 *** (0.105) | 1.466 *** (0.103) |
CXY | 0.1388 *** (3.665) | 0.1372 *** (3.650) | 0.0633 (0.1521) | 0.1169 *** (3.015) | 0.136 *** (4.633) | 0.119 *** (4.681) |
0.8147 *** (42.662) | 0.8266 *** (44.660) | 0.7199 *** (33.281) | 0.8311 *** (54.669) | 0.002 *** (19.365) | 0.018 *** (33.361) | |
W × DI | 0.393 * (2.339) | 0.616 ** (4.382) | ||||
W × CXY | 0.172 * (3.778) | 0.153 * (3.023) | ||||
Wald lag | 76.335 *** (15.013) | 41.775 *** (7.991) | ||||
Wald error | 88.286 *** (19.216) | 44.336 *** (8.188) | ||||
Controls | Yes | Yes | Yes | Yes | Yes | Yes |
Year | Yes | Yes | Yes | Yes | Yes | Yes |
Province | Yes | Yes | Yes | Yes | Yes | Yes |
LogL | 468.119 | 461.331 | 483.398 | 487.038 | 501.223 | 503.201 |
Adj_R2 | 0.441 | 0.440 | 0.522 | 0.599 | 0.683 | 0.763 |
Variable | SDM | |
---|---|---|
Geographic Matrix | Economic Matrix | |
DI × CXY | 0.326 *** (4.903) | 0.283 *** (4.551) |
Controls | YES | YES |
0.701 *** (29.033) | 0.749 *** (33.912) | |
W × DI × CXY | 0.439 (2.903) | 0.791 * (4.773) |
Wald lag | 83.891 *** (16.772) | 47.443 *** (8.656) |
Wald error | 90.286 *** (23.761) | 48.668 *** (10.286) |
LogL | 491.224 | 503.556 |
R2 | 0.608 | 0.583 |
Variable | SDM | SDM | ||
---|---|---|---|---|
Geographic Matrix | Economic Matrix | Geographic Matrix | Economic Matrix | |
DI | 0.248 *** (4.281) | 0.217 *** (3.871) | 1.501 *** (0.118) | 1.513 *** (0.121) |
CXY | 0.154 *** (4.631) | 0.159 *** (4.633) | 0.133 *** (4.615) | 0.111 *** (4.601) |
Controls | YES | YES | YES | YES |
0.692 *** (28.991) | 0.723 *** (32.608) | 0.003 *** (19.371) | 0.016 *** (33.353) | |
W × CXY | 0.163 * (3.681) | 0.133 * (3.029) | 0.179 * (3.782) | 0.162 (3.043) |
W × DI direct effect | 0.306 (3.431) | 0.501 * (3.686) | ||
W × DI indirect effect | 0.109 * (1.037) | 0.133 ** (1.039) | ||
W × DI direct effect × CXY | 0.359 (3.203) | 0.636 * (3.873) | ||
W × DI indirect effect × CXY | 0.131 ** (1.732) | 0.179 ** (2.018) | ||
Wald lag | 76.332 * (15.001) | 41.712 * (7.991) | 77.556 *** (16.337) | 42.651 *** (7.661) |
Wald error | 88.281 * (19.219) | 44.321 * (8.691) | 90.212 *** (20.236) | 45.305 *** (8.307) |
LogL | 501.220 | 503.201 | 505.203 | 509.273 |
R2 | 0.6392 | 0.6331 | 0.686 | 0.665 |
Variable | Direct Effect | Indirect Effect | Total Effect | |||
---|---|---|---|---|---|---|
Geographic Matrix | Economic Matrix | Geographic Matrix | Economic Matrix | Geographic Matrix | Economic Matrix | |
DI | 0.243 ** (2.663) | 0.201 ** (2.425) | 0.138 * (1.363) | 0.143 * (1.475) | 0.381 *** (4.286) | 0.344 *** (3.881) |
CXY | 0.147 * (3.117) | 0.106 ** (2.705) | 0.056 * (2.013) | 0.069 * (2.271) | 0.198 ** (3.806) | 0.173 ** (3.627) |
DI × CXY | 0.293 ** (2.981) | 0.306 ** (3.229) | 0.152 ** (1.525) | 0.173 ** (1.722) | 0.4422 ** (4.771) | 0.4743 ** (4.902) |
Controls | YES | YES | YES | YES | YES | YES |
Variable | Industry–Academic–Research Collaborative Innovation Is the Threshold Variable | Digital Economy Is the Threshold Variable | |||||
---|---|---|---|---|---|---|---|
Single-Threshold | Double-Threshold | Three-Threshold | Single-Threshold | Double-Threshold | Three-Threshold | ||
Single threshold estimate | 1.633 | 1.499 | 0.672 | 0.671 | |||
Confidence interval | [0.731, 1.623] | [1.001, 1.596] | [0.481, 0.798] | [0.481, 0.821] | |||
Double threshold estimates | 0.628 | 0.916 | |||||
Confidence interval | [0.667, 0.876] | [0.348, 1.239] | |||||
Three threshold estimates | 0.978 | 0.513 | |||||
Confidence interval | [0.621, 1.112] | [0.341, 0.973] | |||||
F statistic | 16.171 * | 14.991 ** | 5.777 | 14.771 ** | 8.013 | 7.779 | |
p-value | 0.033 | 0.010 | 0.301 | 0.051 | 0.315 | 0.162 | |
BS degree | 600 | 600 | 600 | 600 | 600 | 600 | |
Threshold | 1% | 69.35 | 20.332 | 28.033 | 44.338 | 45.772 | 34.128 |
5% | 44.991 | 14.885 | 18.191 | 31.664 | 35.663 | 29.661 | |
10% | 34.001 | 11.015 | 14.331 | 28.002 | 31.024 | 26.112 |
Variable | Digital Economy Is the Threshold Variable | Variable | Innovation Ability Cultivation Is the Threshold Variable | ||
---|---|---|---|---|---|
Estimated Value | T-Value | Estimated Value | T-Value | ||
Controls | YES | Controls | YES | ||
CXY1 | 0.037 | 0.823 | DL1 | 0.053 | 0.327 |
CXY2 | 0.091 ** | 2.661 | DL2 | 0.131 ** | 2.013 |
DL3 | 0.285 *** | 3.171 | |||
R2 | 0.578 | 0.612 |
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Zheng, M.; Yan, S.; Xu, S. Digital Economy, Industry–Academia–Research Collaborative Innovation, and the Development of New-Quality Productive Forces. Sustainability 2025, 17, 318. https://doi.org/10.3390/su17010318
Zheng M, Yan S, Xu S. Digital Economy, Industry–Academia–Research Collaborative Innovation, and the Development of New-Quality Productive Forces. Sustainability. 2025; 17(1):318. https://doi.org/10.3390/su17010318
Chicago/Turabian StyleZheng, Minggui, Shan Yan, and Shiqi Xu. 2025. "Digital Economy, Industry–Academia–Research Collaborative Innovation, and the Development of New-Quality Productive Forces" Sustainability 17, no. 1: 318. https://doi.org/10.3390/su17010318
APA StyleZheng, M., Yan, S., & Xu, S. (2025). Digital Economy, Industry–Academia–Research Collaborative Innovation, and the Development of New-Quality Productive Forces. Sustainability, 17(1), 318. https://doi.org/10.3390/su17010318