How Does Industrial Intelligence Enhance Green Total Factor Productivity in China? The Substitution Effect of Environmental Regulation
Abstract
1. Introduction
2. Literature Review and Hypotheses Development
2.1. Direct Impact of INT on GTFP
2.2. Indirect Pathways of INT’s Impact on GTFP
2.3. Potential Moderating Role of Environmental Regulation
2.4. Time-Lagged Effect of INT on GTFP
3. Methodology and Data
3.1. Model Settings
3.1.1. Benchmark Model
3.1.2. Mediating Effect Model
3.1.3. Moderating Effect Model
3.2. Variable Measures
3.2.1. Explained Variable
3.2.2. Explanatory Variable
- (1)
- The weight matrix (P) is calculated by measuring the distribution ratio of each sample for a certain indicator to reflect the relative importance of the data.
- (2)
- Calculate information entropy (e): Measure the degree of dispersion of indicator data. The smaller the entropy, the greater the amount of indicator information.
- (3)
- The difference coefficient (d) is calculated as 1—entropy value, reflecting the discriminating ability of the indicator. The larger the difference coefficient, the higher is the weight.
- (4)
- Calculate weights (w): Normalize the difference coefficients to obtain the final weights for each indicator.
- (5)
- Step-by-step calculation of the composite index (S).
3.2.3. Mediating Variables
3.2.4. Moderating Variable
3.2.5. Control Variables
3.3. Data Sources and Descriptive Statistics
4. Empirical Results and Analysis
4.1. Benchmark Regression
4.2. Robustness Tests
4.2.1. Replace the Explained Variable
4.2.2. Replace the Explanatory Variable
4.2.3. Exclude Special Samples
4.2.4. Adjust the Sample Period
4.2.5. Incorporate Additional Control Variables
4.2.6. Employ the Driscoll-Kraay Standard Errors
4.3. Endogeneity Tests
4.4. Heterogeneity Tests
5. Mechanism Analysis
5.1. The Mediating Effect of Green Innovation and Spatio-Economic Synergy
5.2. The Moderating Effect of Environmental Regulation
6. Further Analysis: Time-Lagged Effect
7. Conclusions, Discussions, and Policy Implications
7.1. Conclusions and Discussions
7.2. Policy Implications
7.3. Limitations and Future Directions
Author Contributions
Funding
Institutional Review Board Statement
Informed Consent Statement
Data Availability Statement
Conflicts of Interest
References
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| Primary Indicator | Secondary Indicator | Measurement Method | Data Source |
|---|---|---|---|
| Factor Input | Labor Input | Total number of employed persons at the end of the year in each region (10,000 persons) | CSY |
| Capital Input | Fixed-asset stock with a depreciation rate calculated based on the perpetual inventory method (taking 2011 as the base period) (100 million RMB) | CSY | |
| Energy Input | Total energy consumption in each region (10,000 tons of standard coal) | CSYE | |
| Desired Output | Actual Gross Domestic Product | Nominal GDP deflated using regional GDP deflators (taking 2011 as the base period) (100 million yuan) | CSY |
| Undesired Output | Pollution Emissions | Industrial sulfur dioxide emissions in each region (10,000 tons) | CISY |
| Industrial wastewater discharge in each region (10,000 tons) | CISY | ||
| Discharge of general industrial solid waste in each region (10,000 tons) | CISY |
| Primary Indicator | Secondary Indicator | Measurement Method | Data Source | Weight |
|---|---|---|---|---|
| Technological Innovation Environment | General Innovation Capacity | Number of patent applications authorized/Total population (10,000 persons) | CNIPA CSY | 0.31 |
| R&D Funding | Research and experimental development expenditures of industrial enterprises above the designated size (100 million RMB) | CSY | ||
| AI Innovation Achievement | Number of AI patents/Total population (10,000 persons) | CNIPA CSY | ||
| Industrial Development Foundation | Internet Coverage | Per capita Internet access ports | CISY | 0.33 |
| Information Technology Infrastructure | Length of long-distance optical cable lines (10,000 km)/Urban area (10,000 square kilometers) | CISY | ||
| INT Human Resource | Number of employees in urban units of information transmission, software, and information technology services (10,000 persons)/Total population (10,000 persons) | CPESY CSY | ||
| INT Capital Input | Fixed-asset investment in information transmission, software, and information technology services (100 million RMB)/GDP (100 million RMB) | CSY | ||
| Industrial Output Level | Industrial Robot Installation Density | Number of industrial robots installed in various sub-sectors | IFR | 0.36 |
| Quantity of INT Enterprise | Following Wang’s methodology [62], a Python-based (version 3.11.10) web crawler was employed to conduct fuzzy matching queries on the “business scope” field of the Tianyancha database, targeting INT-related keywords including “intelligent”, “machine learning”, “Internet of Things (IoT)”, and “big data”. | TYC | ||
| Contribution of INT Enterprise | Total profits of computer, communication, and other electronic equipment manufacturing enterprises (100 million RMB)/GDP (100 million RMB) | CISY CSY | ||
| INT Industry Business Revenue | Revenue of software and information technology services (100 million RMB)/Number of employees (10,000 persons) | CISY CSY |
| Moderating Variable | Regulation Type | Measurement Method | Data Source |
|---|---|---|---|
| Environmental Regulation | Policy-Oriented | Word frequency of environmental governance in policy texts (times)/Total length of policy texts (characters) | Government website |
| Tax-Adjusted | Total amount of environmental protection tax and resource tax (100 million RMB)/GDP (100 million RMB) | CSY | |
| Public-Supervision | Annual Baidu search index for “environmental pollution” | BAIDU | |
| Industrial-Governance | Year-end stock of enterprises related to green industries | CPPGD |
| Variable Type | Symbol | N | Mean | St. Dev. | Min | Max |
|---|---|---|---|---|---|---|
| Explained Variable | GTFP | 360 | 0.6240 | 0.1528 | 0.2614 | 1.0853 |
| Explanatory Variable | INT | 360 | 0.1683 | 0.1031 | 0.0185 | 0.5645 |
| Control Variables | Fin | 360 | 1.5147 | 0.4425 | 0.6768 | 2.7592 |
| FDI | 360 | 0.0027 | 0.0022 | 0.00001 | 0.0128 | |
| GRP | 360 | 10.9772 | 0.4435 | 9.8889 | 12.2075 | |
| Indus | 360 | 0.4119 | 0.0858 | 0.1449 | 0.5769 | |
| Gov | 360 | 0.2483 | 0.1015 | 0.1066 | 0.6430 |
| Explained Variable | ||||||
|---|---|---|---|---|---|---|
| GTFP | ||||||
| (1) | (2) | (3) | (4) | (5) | (6) | |
| INT | 0.356 *** | 0.376 *** | 0.365 *** | 0.328 *** | 0.310 *** | 0.305 *** |
| (0.093) | (0.078) | (0.077) | (0.076) | (0.076) | (0.076) | |
| Fin | −0.150 *** | −0.156 *** | −0.118 *** | −0.104 *** | −0.102 *** | |
| (0.013) | (0.013) | (0.016) | (0.017) | (0.017) | ||
| FDI | −5.427 *** | −6.724 *** | −6.296 *** | −6.059 *** | ||
| (1.848) | (1.848) | (1.826) | (1.900) | |||
| GRP | 0.102 *** | 0.078 *** | 0.068 * | |||
| (0.028) | (0.029) | (0.036) | ||||
| Indus | 0.333 *** | 0.341 *** | ||||
| (0.104) | (0.105) | |||||
| Gov | −0.060 | |||||
| (0.131) | ||||||
| Province FE | YES | YES | YES | YES | YES | YES |
| Year FE | YES | YES | YES | YES | YES | YES |
| Observations | 360 | 360 | 360 | 360 | 360 | 360 |
| Adjusted R2 | −0.079 | 0.237 | 0.255 | 0.283 | 0.304 | 0.302 |
| F Statistic | 14.706 *** | 76.890 *** | 55.367 *** | 46.444 *** | 40.312 *** | 33.544 *** |
| Explained Variable | ||||||
|---|---|---|---|---|---|---|
| NSE-EBM | GTFP | |||||
| (1) | (2) | (3) | (4) | (5) | (6) | |
| AI_Tech | 0.181 *** | |||||
| (0.037) | ||||||
| INT | 0.287 *** | 0.310 *** | 0.273 *** | 0.262 *** | 0.305 *** | |
| (0.075) | (0.081) | (0.098) | (0.087) | (0.049) | ||
| Fin | −0.097 *** | −0.068 *** | −0.105 *** | −0.125 *** | −0.108 *** | −0.102 *** |
| (0.017) | (0.018) | (0.018) | (0.020) | (0.018) | (0.017) | |
| FDI | −6.028 *** | −5.354 *** | −6.008 *** | −6.267 *** | −6.901 *** | −6.059 *** |
| (1.869) | (1.886) | (1.996) | (2.042) | (1.894) | (2.147) | |
| GRP | 0.071 ** | 0.076 ** | 0.046 | 0.108 ** | 0.017 | 0.068 ** |
| (0.036) | (0.036) | (0.041) | (0.044) | (0.042) | (0.033) | |
| Indus | 0.348 *** | 0.383 *** | 0.531 *** | 0.238 * | 1.160 *** | 0.341 ** |
| (0.104) | (0.104) | (0.121) | (0.122) | (0.247) | (0.164) | |
| Gov | −0.060 | −0.143 | −0.087 | 0.091 | −0.008 | −0.060 |
| (0.128) | (0.128) | (0.145) | (0.162) | (0.132) | (0.160) | |
| Add Controls | NO | NO | NO | NO | YES | NO |
| Province FE | YES | YES | YES | YES | YES | YES |
| Year FE | YES | YES | YES | YES | YES | YES |
| Observations | 360 | 360 | 312 | 270 | 360 | 360 |
| Adjusted R2 | 0.302 | 0.318 | 0.346 | 0.333 | 0.325 | 0.302 |
| F Statistic | 33.496 *** | 35.570 *** | 34.442 *** | 29.564 *** | 24.647 *** | 33.544 *** |
| 2SLS-Stage 1 | 2SLS-Stage 2 | 2SLS-Stage 1 | 2SLS-Stage 2 | |
|---|---|---|---|---|
| (1) | (2) | (3) | (4) | |
| IV1_Tel | 0.067 *** | |||
| (0.010) | ||||
| IV2_Policy×Post | 0.054 *** | |||
| (0.005) | ||||
| INT | 0.799 *** | 0.373 ** | ||
| (0.217) | (0.154) | |||
| Kleibergen-Paap LM | 35.353 *** | 57.837 *** | ||
| Cragg-Donald Wald F | 44.387 *** | 106.155 *** | ||
| Controls | YES | YES | YES | YES |
| Province FE | YES | YES | YES | YES |
| Year FE | YES | YES | YES | YES |
| Observations | 360 | 360 | 360 | 360 |
| Adjusted R2 | 0.938 | 0.940 | 0.947 | 0.939 |
| F Statistic | 118.214 *** | 124.102 *** | 139.822 *** | 121.032 *** |
| IndDom | Non_IndDom | Low_IndStr | Med_IndStr | High_IndStr | |
|---|---|---|---|---|---|
| (1) | (2) | (3) | (4) | (5) | |
| INT | −0.122 | 0.532 *** | −0.628 *** | 0.303 *** | 0.423 *** |
| (0.153) | (0.131) | (0.145) | (0.101) | (0.158) | |
| Controls | YES | YES | YES | YES | YES |
| Province FE | YES | YES | YES | YES | YES |
| Year FE | YES | YES | YES | YES | YES |
| Observations | 120 | 240 | 120 | 132 | 108 |
| Adjusted R2 | 0.693 | 0.401 | 0.702 | 0.407 | 0.206 |
| F Statistic | 37.152 *** | 24.715 *** | 51.148 *** | 19.513 *** | 8.784 *** |
| Explained Variable | ||||
|---|---|---|---|---|
| GI | GTFP | SES | GTFP | |
| (1) | (2) | (3) | (4) | |
| GI | 0.152 *** | |||
| (0.045) | ||||
| SES | 0.229 *** | |||
| (0.062) | ||||
| INT | 0.534 *** | 0.224 *** | 0.478 *** | 0.196 ** |
| (0.094) | (0.079) | (0.069) | (0.080) | |
| Controls | YES | YES | YES | YES |
| Province FE | YES | YES | YES | YES |
| Year FE | YES | YES | YES | YES |
| Observations | 360 | 360 | 360 | 360 |
| Adjusted R2 | 0.106 | 0.324 | 0.105 | 0.329 |
| F Statistic | 14.748 *** | 31.333 *** | 14.698 *** | 31.907 *** |
| Explained Variable | |||||
|---|---|---|---|---|---|
| GTFP | GI | GTFP | SES | GTFP | |
| (1) | (2) | (3) | (4) | (5) | |
| GI | 0.134 *** | ||||
| (0.044) | |||||
| SES | 0.193 *** | ||||
| (0.059) | |||||
| INT | 0.555 *** | 1.043 *** | 0.415 *** | 0.782 *** | 0.405 *** |
| (0.102) | (0.131) | (0.111) | (0.097) | (0.111) | |
| ER | 0.198 *** | 0.086 ** | 0.186 *** | 0.066 ** | 0.185 *** |
| (0.027) | (0.034) | (0.027) | (0.026) | (0.027) | |
| INT×ER | −0.631 *** | −1.075 *** | −0.487 *** | −0.652 *** | −0.506 *** |
| (0.160) | (0.204) | (0.164) | (0.151) | (0.162) | |
| Controls | YES | YES | YES | YES | YES |
| Province FE | YES | YES | YES | YES | YES |
| Year FE | YES | YES | YES | YES | YES |
| Observations | 360 | 360 | 360 | 360 | 360 |
| Adjusted R2 | 0.403 | 0.178 | 0.419 | 0.151 | 0.421 |
| F Statistic | 36.308 *** | 15.714 *** | 34.187 *** | 13.958 *** | 34.460 *** |
| Direct | Moderate | Low_ER | Med_ER | High_ER | |
|---|---|---|---|---|---|
| (1) | (2) | (3) | (4) | (5) | |
| INT_lag1 | 0.250 *** | 0.495 *** | 0.721 *** | 0.152 | −0.410 *** |
| (0.082) | (0.110) | (0.166) | (0.141) | (0.105) | |
| ER | 0.191 *** | ||||
| (0.028) | |||||
| INT_lag1×ER | −0.590 *** | ||||
| (0.175) | |||||
| Controls | YES | YES | YES | YES | YES |
| Province FE | YES | YES | YES | YES | YES |
| Year FE | YES | YES | YES | YES | YES |
| Observations | 360 | 330 | 109 | 109 | 112 |
| Adjusted R2 | 0.292 | 0.388 | 0.385 | 0.513 | 0.615 |
| F Statistic | 30.169 *** | 31.957 *** | 16.623 *** | 24.663 *** | 35.408 *** |
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Xie, S.; Ji, J.; Zhang, Y.; Wang, S. How Does Industrial Intelligence Enhance Green Total Factor Productivity in China? The Substitution Effect of Environmental Regulation. Sustainability 2025, 17, 7881. https://doi.org/10.3390/su17177881
Xie S, Ji J, Zhang Y, Wang S. How Does Industrial Intelligence Enhance Green Total Factor Productivity in China? The Substitution Effect of Environmental Regulation. Sustainability. 2025; 17(17):7881. https://doi.org/10.3390/su17177881
Chicago/Turabian StyleXie, Shiheng, Jiaqi Ji, Yiran Zhang, and Shuping Wang. 2025. "How Does Industrial Intelligence Enhance Green Total Factor Productivity in China? The Substitution Effect of Environmental Regulation" Sustainability 17, no. 17: 7881. https://doi.org/10.3390/su17177881
APA StyleXie, S., Ji, J., Zhang, Y., & Wang, S. (2025). How Does Industrial Intelligence Enhance Green Total Factor Productivity in China? The Substitution Effect of Environmental Regulation. Sustainability, 17(17), 7881. https://doi.org/10.3390/su17177881

