Coupling Effect of the Energy–Economy–Environment System in the Yangtze River Economic Belt
Abstract
1. Introduction
2. Literature Review
2.1. Concept of 3E System and the Relationships Between Subsystems
2.2. Construction and Practical Application of the 3E System
2.3. Summary
3. Data and Methodology
3.1. Data Sources
3.2. Method Principles
3.3. Models Construction
3.3.1. The Construction of Index System
3.3.2. The Calculation of Indicator Weights
3.3.3. Coupling Coordination Degree Model
3.3.4. Spatial Analysis Model
3.3.5. Spatial Durbin Model Principle
4. Results Analysis
4.1. Coupling Coordination Degree
4.2. Ternary Coupled Spatial Auto-Correlation
4.3. Local Moran’s I
4.4. Spatial Durbin Model
5. Discussion
5.1. Discussion on Methodological Improvements
5.2. Robustness Test and Discussion About Spatial Regression Analysis
5.2.1. Sample Size Constraints
5.2.2. Robustness Test
5.3. Discussion and Comparison of Research Conclusions
6. Conclusions
Author Contributions
Funding
Data Availability Statement
Conflicts of Interest
References
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| Criterion Layer | Theory | Indicators | Unit | Symbol (+/−) |
|---|---|---|---|---|
| Energy subsystem | Pressure | Total energy consumption | Tons of standard coal | − |
| State | Industrial electricity consumption | Billion KWH | + | |
| State | Total electricity production | Billion KWH | − | |
| Impact | Electricity consumption per unit of GDP | KWH/yuan | − | |
| Impact | Energy consumption per unit of GDP | Tons of standard coal/yuan | − | |
| Economic subsystem | Driving force | Total imports and exports | Billion yuan | + |
| State | The per capita disposable income of urban residents | Yuan | + | |
| State | GDP per capita | Yuan | + | |
| Impact | The proportion of the tertiary industry | % | + | |
| Response | The amount of fiscal expenditure per capita | Yuan | + | |
| Environment subsystem | Pressure | Total wastewater discharge | Ten thousand ton | − |
| Pressure | Total Industrial Solid Waste Generation | Ten thousand ton | − | |
| State | GDP per unit of carbon emissions | Yuan/ton | + | |
| Response | Investment in industrial pollution control | Ten thousand yuan | + | |
| Response | Green area per capita | Sqm/person | + |
| C | Classification | D | Classification |
|---|---|---|---|
| 0 ≤ C < 0.3 | Separation stage | 0 ≤ D < 0.3 | Mild coordination |
| 0.3 ≤ C < 0.6 | Antagonism stage | 0.3 ≤ D < 0.6 | Moderate coordination |
| 0.6 ≤ D < 0.8 | Run-in stage | 0.6 ≤ D < 0.8 | High coordination |
| 0.8 ≤ D < 1.0 | Coupling stage | 0.8 ≤ D < 1.0 | Extreme coordination |
| Symbol | Variables | Definition | |
|---|---|---|---|
| Interpreted variable | Coupling Coordination Degree | - | |
| Explanatory variable | Industrial structure | The ratio of the total value of the secondary industry to GDP/% | |
| Environmental policy | The proportion of environmental protection expenditure in general budget expenditure/% | ||
| Foreign trade | Total import and export trade/yuan | ||
| Urbanization rate | Proportion of urban population/% | ||
| Automobile consumption | Per capita car ownership/vehicle/person |
| Province | 2009 | 2010 | 2011 | 2012 | 2013 | 2014 | 2015 | 2016 | 2017 | 2018 | 2019 | Mean |
|---|---|---|---|---|---|---|---|---|---|---|---|---|
| Shanghai | 0.634 | 0.573 | 0.576 | 0.593 | 0.588 | 0.625 | 0.640 | 0.696 | 0.702 | 0.657 | 0.707 | 0.636 |
| Jiangsu | 0.639 | 0.669 | 0.705 | 0.737 | 0.788 | 0.782 | 0.809 | 0.835 | 0.819 | 0.897 | 0.878 | 0.778 |
| Zhejiang | 0.575 | 0.598 | 0.630 | 0.662 | 0.722 | 0.746 | 0.746 | 0.762 | 0.751 | 0.774 | 0.789 | 0.705 |
| Anhui | 0.375 | 0.390 | 0.417 | 0.447 | 0.509 | 0.495 | 0.510 | 0.563 | 0.564 | 0.576 | 0.618 | 0.497 |
| Jiangxi | 0.332 | 0.367 | 0.395 | 0.416 | 0.451 | 0.466 | 0.485 | 0.493 | 0.511 | 0.547 | 0.566 | 0.457 |
| Hubei | 0.430 | 0.453 | 0.440 | 0.468 | 0.509 | 0.534 | 0.536 | 0.578 | 0.567 | 0.580 | 0.601 | 0.518 |
| Hunan | 0.397 | 0.418 | 0.421 | 0.454 | 0.484 | 0.495 | 0.522 | 0.520 | 0.529 | 0.548 | 0.564 | 0.487 |
| Chongqing | 0.359 | 0.385 | 0.427 | 0.458 | 0.490 | 0.508 | 0.519 | 0.522 | 0.539 | 0.555 | 0.569 | 0.485 |
| Sichuan | 0.402 | 0.422 | 0.455 | 0.470 | 0.510 | 0.541 | 0.541 | 0.558 | 0.582 | 0.615 | 0.631 | 0.521 |
| Guizhou | 0.358 | 0.369 | 0.404 | 0.427 | 0.458 | 0.470 | 0.474 | 0.478 | 0.491 | 0.508 | 0.536 | 0.452 |
| Yunnan | 0.368 | 0.391 | 0.415 | 0.449 | 0.483 | 0.508 | 0.511 | 0.504 | 0.507 | 0.527 | 0.561 | 0.475 |
| Mean | 0.443 | 0.458 | 0.481 | 0.508 | 0.545 | 0.561 | 0.572 | 0.592 | 0.597 | 0.617 | 0.638 | 0.546 |
| Geographic Weight Spatial Matrix | Economic Geospatial Matrix | |||||||
|---|---|---|---|---|---|---|---|---|
| Year | Moran’s I | Standard Deviation | Z-Test Value | p-Value | Moran’s I | Standard Deviation | Z-Test Value | p-Value |
| 2009 | 0.319 | 0.132 | 3.172 | 0.002 *** | 0.399 | 0.137 | 3.639 | 0.000 *** |
| 2010 | 0.246 | 0.129 | 2.683 | 0.007 *** | 0.311 | 0.134 | 3.060 | 0.002 *** |
| 2011 | 0.224 | 0.125 | 2.593 | 0.010 ** | 0.277 | 0.131 | 2.882 | 0.004 *** |
| 2012 | 0.209 | 0.124 | 2.495 | 0.013 ** | 0.253 | 0.129 | 2.729 | 0.006 *** |
| 2013 | 0.175 | 0.120 | 2.292 | 0.022 ** | 0.181 | 0.126 | 2.230 | 0.026 ** |
| 2014 | 0.159 | 0.125 | 2.079 | 0.038 ** | 0.191 | 0.130 | 2.233 | 0.026 ** |
| 2015 | 0.177 | 0.123 | 2.256 | 0.024 ** | 0.209 | 0.129 | 2.403 | 0.016 ** |
| 2016 | 0.311 | 0.127 | 3.233 | 0.001 *** | 0.344 | 0.133 | 3.348 | 0.001 *** |
| 2017 | 0.311 | 0.128 | 3.213 | 0.001 *** | 0.350 | 0.133 | 3.377 | 0.001 *** |
| 2018 | 0.157 | 0.115 | 2.246 | 0.025 ** | 0.160 | 0.121 | 2.151 | 0.031 ** |
| 2019 | 0.274 | 0.122 | 3.070 | 0.002 *** | 0.290 | 0.128 | 3.056 | 0.002 *** |
| Tests | Statistical Quantities | p-Value |
|---|---|---|
| LM error | 1.078 | 0.299 |
| Robust LM error | 0.155 | 0.694 |
| LM lag | 5.551 | 0.018 |
| Robust LM lag | 4.627 | 0.031 |
| LR Test (SAR) | 10.700 | 0.030 |
| LR Test (SEM) | 10.460 | 0.033 |
| Wald Test (SAR) | 10.670 | 0.031 |
| Wald Test (SEM) | 11.360 | 0.045 |
| Coefficient | Direct Effect | Indirect Effect | Total Effect | ||
|---|---|---|---|---|---|
| −0.629 *** | −1.465 *** | −0.526 *** | −0.814 *** | −1.34 *** | |
| 0.225 | −0.649 | 0.256 | −0.594 | −0.338 | |
| −0.092 | 0.713 *** | −0.155 ** | 0.557 *** | 0.402 ** | |
| 0.431 *** | 1.148 *** | 0.361 *** | 0.654 ** | 1.015 *** | |
| 0.574 | 0.466 | 0.535 *** | 0.107 | 0.642 ** | |
| rho | −0.58587 *** | ||||
| sigma2_e | 0.00015 *** | ||||
| R-square | 0.1501 | ||||
| Log-Likelihood | 357.4997 | ||||
| Variables | Dynamic Spatial Durbin Model | Economic Geospatial Matrix | 2009–2013 Period | 2014–2019 Period |
|---|---|---|---|---|
| −0.484 *** | −0.653 *** | −0.189 * | −0.669 *** | |
| 0.012 | −0.226 | 1.580 ** | −0.265 | |
| −0.136 ** | −0.058 | −0.161 ** | 0.255 *** | |
| 0.279 ** | 0.402 *** | 1.127 *** | 0.492 * | |
| 0.592 *** | 0.640 *** | 1.343 *** | 0.184 | |
| −0.426 ** | −1.827 *** | −0.278 | −2.271 *** | |
| −2.896 *** | −2.126 | 0.857 | −2.207 | |
| 0.623 *** | 0.815 ** | 0.500 | 1.833 *** | |
| 0.579 ** | 1.027 * | 2.306 *** | 1.312 | |
| −1.021 *** | 0.820 | 2.122 ** | −0.866 | |
| rho | 0.216 ** | −0.949 *** | −1.152 *** | −1.538 *** |
| sigma2_e | 0.00024 *** | 0.00015 *** | 0.00007 *** | 0.00008 *** |
| R-square | 0.1107 | 0.2766 | 0.5307 | 0.2086 |
| Log-Likelihood | 331.7284 | 355.7027 | 180.2190 | 209.2295 |
| Variables | Dynamic Spatial Durbin Model | Economic Geospatial Matrix | ||||
|---|---|---|---|---|---|---|
| Direct Effect | Indirect Effect | Total Effect | Direct Effect | Indirect Effect | Total Effect | |
| −0.511 *** | −0.685 *** | −1.196 *** | −0.530 *** | −0.767 *** | −1.298 *** | |
| −0.164 | −3.521 *** | −3.686 *** | −0.078 | −1.222 | −1.300 | |
| −0.101 | 0.728 *** | 0.626 *** | −0.138 ** | 0.536 *** | 0.398 ** | |
| 0.321 ** | 0.818 * | 1.139 ** | 0.348 *** | −0.403 | 0.751 ** | |
| 0.519 *** | −1.115 ** | −0.596 | 0.593 *** | 0.135 | 0.729 * | |
| Variables | 2009–2013 Period | 2014–2019 Period | ||||
|---|---|---|---|---|---|---|
| Direct Effect | Indirect Effect | Total Effect | Direct Effect | Indirect Effect | Total Effect | |
| −0.473 ** | −0.432 * | −0.905 ** | −0.452 *** | −0.728 ** | −1.180 *** | |
| 0.865 | −0.658 | 0.208 | 0.006 | −1.039 | −1.033 | |
| −0.287 *** | 0.386 ** | 0.099 | 0.021 | 0.809 *** | 0.830 *** | |
| 0.652 *** | 0.592 | 1.244 ** | 0.432 * | 0.324 | 0.756 * | |
| 0.962 *** | 0.347 | 1.310 ** | 0.335 | −0.670 | −0.335 | |
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Chen, H.; Chen, M.; Wang, Q.; Liu, J. Coupling Effect of the Energy–Economy–Environment System in the Yangtze River Economic Belt. Sustainability 2025, 17, 9941. https://doi.org/10.3390/su17229941
Chen H, Chen M, Wang Q, Liu J. Coupling Effect of the Energy–Economy–Environment System in the Yangtze River Economic Belt. Sustainability. 2025; 17(22):9941. https://doi.org/10.3390/su17229941
Chicago/Turabian StyleChen, Hongquan, Ming Chen, Qin Wang, and Jiahao Liu. 2025. "Coupling Effect of the Energy–Economy–Environment System in the Yangtze River Economic Belt" Sustainability 17, no. 22: 9941. https://doi.org/10.3390/su17229941
APA StyleChen, H., Chen, M., Wang, Q., & Liu, J. (2025). Coupling Effect of the Energy–Economy–Environment System in the Yangtze River Economic Belt. Sustainability, 17(22), 9941. https://doi.org/10.3390/su17229941
