Investigating the Effects of Environmental Regulation on Industrial Ecological Efficiency in China Using a Panel Smooth Transition Regression Model
Abstract
:1. Introduction
2. Literature Review
3. Methods and Data
3.1. Methods
3.1.1. Superefficiency SBM Model Incorporating Undesirable Outputs
3.1.2. The Panel Smooth Transition Regression Model
3.2. Variable Selection
3.2.1. Explained Variable
3.2.2. Explanatory Variable
3.2.3. Transition Variable
3.2.4. Control Variables
3.3. Data Sources
4. Results and Discussion
4.1. Industrial Ecological Efficiency
4.2. Results of PSTR Models
4.2.1. The Panel Unit Root Test
4.2.2. Linearity Test
4.2.3. Remaining Nonlinearity Test
4.2.4. PSTR Estimation Results
5. Conclusions and Policy Suggestions
Author Contributions
Funding
Institutional Review Board Statement
Informed Consent Statement
Data Availability Statement
Conflicts of Interest
References
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Category | Quantitative Indicators | Unit |
---|---|---|
Input | Industrial energy consumption | Tons of standard coal equivalent |
Industrial water use | Tons | |
Total assets of industrial enterprises | Million CNY | |
Industrial labor | Persons | |
Desirable output | Industrial output value | Million CNY |
Undesirable output | Industrial wastewater discharged | Tons |
Industrial SO2 emissions | Tons | |
Industrial particulate emissions (smoke and dust) | Tons | |
Industrial solid waste disposed | Tons |
Test | LLC | ADF-Fisher | ||
---|---|---|---|---|
Statistic | p-Value | Statistic | p-Value | |
IEEit | −3.059 *** | 0.001 | −8.509 *** | 0.000 |
Ln(ER)it | −2.512 *** | 0.006 | −9.491 *** | 0.000 |
Ln(GDP)it | −2.798 *** | 0.006 | −10.866 *** | 0.000 |
Ln(TI)it | −3.201 *** | 0.001 | −6.048 *** | 0.000 |
Ln(OP)it | −3.407 *** | 0.001 | −7.764 *** | 0.000 |
Ln(IA)it | −2.281 ** | 0.011 | −10.109 *** | 0.000 |
Tests | Eastern Region | Central Region | Western Region | |||
---|---|---|---|---|---|---|
Statistic | p-Value | Statistic | p-Value | Statistic | p-Value | |
H0: Linear Model vs. H1: PSTR Model with at Least One Threshold Variable (r = 1) | ||||||
Lagrange multiplier—Wald (LMW) | 38.651 *** | 0.000 | 32.256 *** | 0.000 | 18.546 *** | 0.000 |
Lagrange multiplier—Fischer (LMF) | 8.221 *** | 0.000 | 7.112 *** | 0.000 | 4.118 *** | 0.000 |
Likelihood ratio Wald (LR) | 41.954 *** | 0.000 | 36.009 *** | 0.000 | 18.965 *** | 0.000 |
Tests | Eastern Region | Central Region | Western Region | |||
---|---|---|---|---|---|---|
Statistic | p-Value | Statistic | p-Value | Statistic | p-Value | |
H0: PSTR with r = 1 against H1: PSTR with at Least r = 2 | ||||||
Lagrange multiplier—Wald (LMW) | 16.946 *** | 0.007 | 7.925 | 0.169 | 5.663 | 0.565 |
Lagrange multiplier—Fischer (LMF) | 5.264 *** | 0.001 | 2.125 | 0.258 | 1.552 | 0.625 |
Likelihood ratio Wald (LR) | 18.648 *** | 0.003 | 8.165 | 0.168 | 4.965 | 0.433 |
H0: PSTR with r = 2 against H1: PSTR with at Least r = 3 | ||||||
Lagrange multiplier—Wald (LMW) | 3.115 | 0.667 | ||||
Lagrange multiplier—Fischer (LMF) | 0.635 | 0.722 | ||||
Likelihood ratio Wald (LR) | 2.561 | 0.844 |
Dependent Variable: IEEit | ||||||||
---|---|---|---|---|---|---|---|---|
Variables | Eastern Region of China | Central Region of China | Western Region of China | |||||
Regime 1 (β0) | Regime 2 (β1) | Regime 3 (β2) | Regime 1 (β0) | Regime 2 (β1) | Regime 1 (β0) | Regime 2 (β1) | ||
IEEit−1 | 0.227 *** (3.114) | 0.469 *** (2.898) | 0.169 *** (3.646) | 0.183 *** (3.942) | 0.401 *** (4.658) | 0.287 *** (4.692) | 0.275 *** (3.657) | |
Ln(ER)it | 0.046 ** (2.346) | −0.062 *** (−4.955) | −0.109 *** (−3.979) | 0.063 *** (2.808) | −0.102 ** (−2.211) | 0.007 *** (4.216) | 0.008 *** (3.664) | |
Ln(TI)it | 0.114 *** (3.654) | 0.042 ** (2.066) | −0.136 *** (−4.692) | 0.205 ** (1.936) | 0.199 ** (2.528) | 0.272 *** (4.634) | 0.094 * (1.462) | |
Ln(OP)it | 0.127 ** (2.296) | −0.171 ** (−2.652) | 0.037 *** (4.115) | −0.033 * (−1.575) | −0.012 *** (−3.658) | 0.007* (1.620) | 0.021 *** (4.611) | |
Ln(IA)it | −0.265 ** (−2.712) | 0.366 *** (3.818) | −0.049 *** (−4.558) | −0.036 (−0.410) | 0.226 (0.166) | −0.198 * (−1.535) | 0.505 (0.117) | |
Transition parameters | ||||||||
Threshold level (c) | 9.822 | 10.691 | 9.942 | 9.877 | ||||
Slope parameter (γ) | 0.433 | 3.516 | 4.222 | 0.356 | ||||
AIC | −3.729 | −4.007 | −3.922 | −4.433 | ||||
BIC | −3.236 | −3.711 | −3.406 | −3.878 |
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Wang, G.; Guo, X.; Wu, G.; Zhu, Y. Investigating the Effects of Environmental Regulation on Industrial Ecological Efficiency in China Using a Panel Smooth Transition Regression Model. Sustainability 2023, 15, 15408. https://doi.org/10.3390/su152115408
Wang G, Guo X, Wu G, Zhu Y. Investigating the Effects of Environmental Regulation on Industrial Ecological Efficiency in China Using a Panel Smooth Transition Regression Model. Sustainability. 2023; 15(21):15408. https://doi.org/10.3390/su152115408
Chicago/Turabian StyleWang, Guokui, Xiaojia Guo, Guoqin Wu, and Yijia Zhu. 2023. "Investigating the Effects of Environmental Regulation on Industrial Ecological Efficiency in China Using a Panel Smooth Transition Regression Model" Sustainability 15, no. 21: 15408. https://doi.org/10.3390/su152115408