Harnessing the Industrial Digitalization for Carbon Productivity: New Insights from China
Abstract
1. Introduction
2. Data and Methods
2.1. Indicator Selection
2.2. Variable Definitions
2.3. Data Sources
2.4. Model Construction
- Dagum Gini coefficient method
- 2.
- Kernel density estimation
- 3.
- Baseline Regression Model
- 4.
- Dynamic Threshold Model
- 5.
- Revised gravity model
- 6.
- Spatial Durbin Model
3. Results
3.1. Measurement, Spatial Differentiation, and Dynamic Evolution of Industrial Digitization
3.1.1. Measurement Results of Industrial Digitization
3.1.2. Decomposition of Spatial Differences in Industrial Digitization
3.1.3. Dynamic Evolution Analysis of Industrial Digitalization Development Level
3.2. The Direct Effect of Industrial Digitalization on Carbon Productivity
3.2.1. Benchmark Regression Results
3.2.2. Robustness and Endogeneity Tests
- Changing the time window
- 2.
- Adjusting the sample size
- 3.
- GMM regression
3.2.3. Spatial Geographic Heterogeneity
3.3. The Indirect Effect of Industrial Digitalization Empowering Carbon Productivity
3.3.1. The Threshold Effect of Industrial Digitalization on Industrial Transformation and Upgrading of Carbon Productivity
3.3.2. Spatial Spillover Effects of Industrial Digitalization Empowering Carbon Productivity
- The spatial relationship between Industrial Digitalization and Carbon Productivity
- 2.
- Analysis of regression results of spatial Durbin model
4. Discussion
5. Conclusions, Implications and Future Research Directions
5.1. Conclusions
5.2. Theoretical Contribution
5.3. Policy Recommendations
Author Contributions
Funding
Institutional Review Board Statement
Informed Consent Statement
Data Availability Statement
Conflicts of Interest
References
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| Primary Indicators | Secondary Indicators | Variable Description | Attribute | Weight |
|---|---|---|---|---|
| Industrial digitalization foundation | Fiber optic cable coverage | Length of optical cable line (km) | + | 7.02% |
| Internet popularization | Number of internet broadband access ports/number of permanent residents at the end of the year (%) | + | 4.16% | |
| Scientific and technological support | Proportion of science and technology expenditure in public finance expenditure (%) | + | 7.98% | |
| Mobile phone popularization | Mobile phone popularization (department/hundred people) | + | 2.93% | |
| Internet broadband popularization | Internet broadband penetration rate (households/person) | + | 4.21% | |
| Industrial digitalization investment | R&D personnel in industrial enterprises | Full-time equivalent of R&D personnel in industrial enterprises above designated size (ten thousand people) | + | 14.35% |
| R&D funding support | R&D expenditure as a percentage of GDP (%) | + | 6.84% | |
| Industrial digitalization capability | E-commerce transactions | E-commerce sales revenue (ten thousand yuan) | + | 14.43% |
| Software revenue | Software business revenue (ten thousand yuan) | + | 18.64% | |
| Proportion of high-tech professionals | Proportion of computer service and software professionals (%) | + | 10.04% | |
| Computer usage | Number of people using computers per 100 people (units/Hundred people) | + | 4.87% | |
| Industrial digitalization application | E-commerce enterprises | Proportion of e-commerce enterprises (%) | + | 3.32% |
| corporate website | Number of websites per hundred enterprises (number per- hundred) | + | 1.21% |
| Variable Abbreviation | Calculation Method | Mean | P50 | S.D | Min | Max |
|---|---|---|---|---|---|---|
| DIG | indicator construction | 0.200 | 0.159 | 0.134 | 0.044 | 0.756 |
| CAR | GDP/CO2 | 0.965 | 0.757 | 0.823 | 0.082 | 6.128 |
| TRA | 2.392 | 2.382 | 0.126 | 2.182 | 2.836 | |
| URB | urban permanent residents/Region’s total population | 0.608 | 0.593 | 0.117 | 0.363 | 0.896 |
| OPE | total import and export trade volume/GDP | 0.265 | 0.145 | 0.268 | 0.008 | 1.354 |
| CON | total retail sales of consumer goods in society/GDP | 0.382 | 0.388 | 0.069 | 0.183 | 0.603 |
| MAR | Marketization index | 8.250 | 8.337 | 1.915 | 3.359 | 12.864 |
| Variable | Without Control Variables (1) | With Control Variables (2) | With Control Variables (3) | With Control Variables (4) | With Control Variables (5) |
|---|---|---|---|---|---|
| DIG | 3.995 *** (18.74) | 5.066 *** (15.73) | 5.234 *** (16.20) | 5.219 *** (15.60) | 4.518 *** (11.73) |
| URB | −2.283 *** (−4.35) | −2.655 *** (−4.97) | −2.719 *** (−4.27) | −2.307 *** (−3.63) | |
| CON | 0.936 *** (2.95) | 0.938 *** (2.95) | 0.825 *** (2.63) | ||
| MAR | 0.006 (0.19) | 0.023 (0.73) | |||
| OPEN | −0.839 *** (−3.48) | ||||
| Provincial Fixed Effects | Controlled | Controlled | Controlled | Controlled | Controlled |
| Year Fixed Effects | Controlled | Controlled | Controlled | Controlled | Controlled |
| Constant Term | 0.165 *** (3.67) | 1.338 *** (4.89) | 1.173 *** (4.25) | 1.166 *** (4.18) | 1.181 *** (4.32) |
| R2 | 0.546 | 0.567 | 0.580 | 0.580 | 0.596 |
| Number of Observations | 330 | 330 | 330 | 330 | 330 |
| Variable | Change the Time Window (1) | Adjust the Sample (2) | GMM Regression (3) |
|---|---|---|---|
| DIG | 5.128 *** (11.04) | 2.143 *** (8.38) | 0.546 ** (1.98) |
| Lagged term of the dependent variable | 0.733 *** (8.48) | ||
| Control variable | Controlled | Controlled | Controlled |
| Provincial Fixed Effects | Controlled | Controlled | Controlled |
| Year Fixed Effects | Controlled | Controlled | Controlled |
| Constant Term | 1.285 *** (4.02) | −0.532 (−3.22) | |
| R2 | 0.606 | 0.647 | |
| AR (1) | 0.000 | ||
| AR (2) | 0.288 | ||
| Sargan inspection | 0.012 | ||
| Observed value | 270 | 286 | 270 |
| Variable | Eastern Region (1) | Central Region (2) | Western Region (3) | Plain Area (4) | Non-Plain Area (5) |
|---|---|---|---|---|---|
| DIG | 4.687 *** (7.92) | 3.258 *** (3.17) | 7.385 *** (7.15) | 5.724 *** (10.26) | 2.640 *** (5.71) |
| Control Variables | Controlled | Controlled | Controlled | Controlled | Controlled |
| Province Fixed Effects | Controlled | Controlled | Controlled | Controlled | Controlled |
| Year Fixed Effects | Controlled | Controlled | Controlled | Controlled | Controlled |
| Constant Term | 4.801 *** (6.11) | −0.462 (−0.75) | 1.524 *** (3.07) | 2.837 *** (5.47) | −0.710 *** (−3.02) |
| R2 | 0.647 | 0.847 | 0.640 | 0.717 | 0.615 |
| Observations | 143 | 66 | 121 | 165 | 154 |
| Critical Value | ||||||
|---|---|---|---|---|---|---|
| F-Value | p-Value | BS Times | 1% | 5% | 10% | |
| Single threshold | 73.527 *** | 0.007 | 300 | 71.500 | 35.168 | 16.043 |
| Double threshold | 9.926 ** | 0.047 | 300 | 17.964 | 9.758 | 6.612 |
| Triple threshold | 0.000 | 0.103 | 300 | 0.000 | 0.000 | 0.000 |
| Threshold | Threshold Estimate | 95% Confidence Interval |
|---|---|---|
| Single threshold | 2.739 | [2.739, 2.739] |
| Double threshold | 2.382 | [2.375, 2.629] |
| 2.739 | [2.739, 2.739] | |
| Triple threshold | 2.552 | [2.552, 2.598] |
| Variable | Coef. | Std. Err. | Z | p Value | [95% Conf. Interval] | |
|---|---|---|---|---|---|---|
| L1. | 1.052865 *** | 0.0075356 | 139.72 | 0.000 | [1.038095 | 1.067634] |
| L2. | −0.046465 *** | 0.0107211 | −4.33 | 0.000 | [−0.0674779 | −0.0254521] |
| URB | −0.1640073 *** | 0.0308319 | −5.32 | 0.000 | [−0.2244367 | −0.103578] |
| OPE | 0.0839705 *** | 0.0179476 | 4.68 | 0.000 | [0.0487939 | 0.1191471] |
| CON | 0.0901897 ** | 0.0408018 | 2.21 | 0.027 | [0.0102197 | 0.1701597] |
| MAR | 0.013018 *** | 0.0026552 | 4.90 | 0.000 | [0.0078139 | 0.0182222] |
| DIG(TRA ≤ 2.382) | −0.2192954 *** | 0.0556509 | −3.94 | 0.000 | [−0.3283332 | −0.1101855] |
| DIG(0.958 < TRA ≤ 2.739) | −0.1617879 *** | 0.0417977 | −3.87 | 0.000 | [−0.24371 | −0.0798658] |
| DIG(TRA > 2.739) | 0.487719 *** | 0.0784499 | 6.22 | 0.000 | [0.33396 | 0.6414781] |
| _cons | 0.0140238 | 0.0324501 | 0.43 | 0.666 | [−0.0495773 | 0.0776248] |
| Test | Statistic | p-Value |
|---|---|---|
| Robust LM_lag | 5.623 ** | 0.018 |
| Robust LM_err | 10.930 *** | 0.001 |
| LR_sdm_sar | 149.28 *** | 0.000 |
| LR_sdm_sem | 143.91 *** | 0.000 |
| Wald_sar | 189.25 *** | 0.000 |
| Wald_sem | 167.04 *** | 0.000 |
| Influencing Factors | LR_Direct | LR_Indirect | LR_Total |
|---|---|---|---|
| DIG | 1.0637 *** (5.48) | 0.9749 ** (2.33) | 2.0386 *** (4.97) |
| URB | 2.4469 (1.45) | −30.3516 *** (−12.03) | −27.9047 *** (−12.39) |
| CON | 0.1197 (0.38) | 2.6546 *** (3.71) | 2.7743 *** (3.50) |
| MAR | 0.0257 (0.96) | 0.0697 (1.06) | 0.0954 (1.37) |
| OPEN | −0.3234 (−1.28) | −0.0686 (−0.16) | −0.3921 (−0.83) |
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Cui, X.; Zhang, Y.; Yan, F. Harnessing the Industrial Digitalization for Carbon Productivity: New Insights from China. Sustainability 2026, 18, 3032. https://doi.org/10.3390/su18063032
Cui X, Zhang Y, Yan F. Harnessing the Industrial Digitalization for Carbon Productivity: New Insights from China. Sustainability. 2026; 18(6):3032. https://doi.org/10.3390/su18063032
Chicago/Turabian StyleCui, Xiaochong, Yuan Zhang, and Feier Yan. 2026. "Harnessing the Industrial Digitalization for Carbon Productivity: New Insights from China" Sustainability 18, no. 6: 3032. https://doi.org/10.3390/su18063032
APA StyleCui, X., Zhang, Y., & Yan, F. (2026). Harnessing the Industrial Digitalization for Carbon Productivity: New Insights from China. Sustainability, 18(6), 3032. https://doi.org/10.3390/su18063032
