Submitted:
22 April 2026
Posted:
22 April 2026
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Abstract
Keywords:
1. Introduction
2. Literature Review
3. Methods and Materials
3.1. Research Methods
3.1.1. Global Super-Efficiency EBM Model
3.1.2. Exploratory Spatial Data Analysis (ESDA)
3.1.3. XGBoost-SHAP Interpretable Machine Learning Framework
3.1.4. Geographically and Temporally Weighted Regression (GTWR)
3.2. Variable Selection
3.2.1. Indicators of the UEE
3.2.2. Driving Factors of UEE
3.3. Data Sources
4. Empirical Results and Analysis
4.1. Spatiotemporal Evolution Characteristics of UEE in the YREB
4.2. Global Nonlinear Driving Mechanism Analysis Based on XGBoost-SHAP
4.3. Spatial Non-Stationarity Test and GTWR Model Validation
4.3.1. Spatial Non-Stationarity Test
4.3.2. Model Comparison and GTWR Applicability Verification
4.4. Spatiotemporal Heterogeneity Analysis of Core Driving Factors
4.4.1. Overview of Statistical Characteristics of GTWR Regression Coefficients
4.4.2. Spatiotemporal Evolution of Fiscal Decentralization
4.4.3. Spatiotemporal Evolution of Population Density
4.4.4. Brief Analysis of Spatiotemporal Heterogeneity of Other Driving Factors
4.5. Robustness Check
4.6. Discussion: Comparative Analysis of Spatial Heterogeneity in the YREB and Global River Basins
5. Conclusions and Policy Implications
5.1. Conclusions
5.2. Policy Implications
5.2.1. Improving the Performance Evaluation System and Cross-Regional Horizontal Ecological Compensation Mechanism
5.2.2. Implementing a Differentiated Spatial Allocation Strategy for Population and Factors
5.2.3. Promoting Green Gradient Industrial Transfer According to Local Conditions
5.3. Research Limitations and Prospects
Author Contributions
Funding
Conflicts of Interest
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| Dimension | Variable | Symbol | Units | Obs. | Mean | Std. Dev. | Min | Max |
| Inputs | Labor force | Lab | 10,000 persons | 1296 | 110.297 | 726.682 | 6.974 | 22764.851 |
| Urban construction land | Land | 10,000 tce | 1296 | 176.975 | 315.712 | 0.5 | 2705.31 | |
| Capital stock | Cap | km2 | 1296 | 10853.075 | 11862.488 | 734.363 | 112430.89 | |
| Electricity consumption | Ene | 100 million CNY | 1296 | 174.884 | 243.788 | 3.736 | 1848.808 | |
| Water supply | Wat | 10,000 tons | 1296 | 2.099 | 3.941 | 0.111 | 32.038 | |
| Desirable Outputs | Real GDP | GDP | 100 million CNY | 1296 | 2759.058 | 4036.261 | 165.83 | 47218.97 |
| Urban carbon sink | UCS | hm2 | 1296 | 13.387 | 17.63 | 0.396 | 147.034 | |
| Undesirable Outputs | Wastewater emissions | Was | 10,000 tons | 1296 | 0.619 | 0.783 | 0.006 | 7.075 |
| SO₂ emissions | SO2 | 10,000 tons | 1296 | 2.547 | 4.064 | 0.007 | 50.979 | |
| Dust emissions | Dus | 10,000 tons | 1296 | 2.179 | 4.262 | 0.049 | 134.737 | |
| CO₂ emissions | CO2 | 10,000 tons | 1296 | 3276.331 | 3438.82 | 190.878 | 20527.074 |
| Variable | Symbol | Definition | Units | Obs | Mean | Std.Dev | Min | Max | Tolerance | VIF |
| Economic development | Economic | Real GDP per capita | CNY/person | 1296 | 10.847 | 0.685 | 9.133 | 12.655 | 0.226 | 4.423 |
| Industrial structure upgrading | Industrial | Value added of tertiary industry / Value added of secondary industry | % | 1296 | 0.472 | 0.218 | 0.088 | 1.541 | 0.307 | 3.26 |
| Opening-up level | Opening | Actual utilized foreign direct investment / GDP | % | 1296 | 0.194 | 0.081 | 0.076 | 0.675 | 0.312 | 3.206 |
| Population density | Population | Year-end total population / Land area | persons/km2 | 1296 | 2.584 | 1.004 | 0.779 | 7.174 | 0.34 | 2.939 |
| Financial development | Financial | Year-end loan balance of financial institutions / GDP | % | 1296 | 0.438 | 0.092 | 0.207 | 0.752 | 0.428 | 2.337 |
| Human capital | Human | Number of college students / Total population | % | 1296 | 0.02 | 0.025 | 0 | 0.144 | 0.471 | 2.125 |
| Government intervention | Government | General public budget expenditure / GDP | % | 1296 | 6.016 | 0.638 | 4.009 | 7.778 | 0.595 | 1.679 |
| Fiscal decentralization | Fiscal | Local budgetary revenue / Local budgetary expenditure | % | 1296 | 0.003 | 0.003 | 0 | 0.02 | 0.768 | 1.302 |
| Year | Moran's I | Z-score | P-value | Year | Moran's I | Z-score | P-value |
| 2012 | 0.0011 | 0.5455 | 0.585 | 2018 | -0.0094 | -0.0019 | 0.998 |
| 2015 | -0.0125 | -0.1665 | 0.868 | 2023 | -0.0123 | -0.1549 | 0.877 |
| Model Category | Model | Adjusted | RSS | AICc | |
| Global Benchmark | OLS | 0.1795 | 0.1744 | 4.7674 | -3568.35 |
| Temporal-only | TWR | 0.2476 | 0.2429 | 4.3753 | -3630.64 |
| Spatial-only | GWR | 0.4245 | 0.3651 | 3.3441 | -3776.34 |
| Spatiotemporal Coupling | GTWR | 0.4494 | 0.4460 | 3.2015 | -3828.72 |
| Variable | Mean | positive values | Min | Max | Lower | Middle | Upper |
| Economic | 0.0369 | 74.69% | -0.0354 | 0.3464 | 0.008 | 0.0137 | 0.1022 |
| Industrial | 0.0926 | 78.47% | -0.2514 | 0.5495 | 0.0434 | 0.1344 | 0.1092 |
| Opening | 1.4373 | 52.01% | -6.8913 | 19.1371 | -1.3662 | -0.7727 | 7.7115 |
| Population | 0.0222 | 99.15% | -0.0022 | 0.0818 | 0.0226 | 0.0147 | 0.0305 |
| Financial | 0.0056 | 73.77% | -0.0514 | 0.0885 | 0.0064 | 0.0055 | 0.0047 |
| Human | 0.0776 | 59.95% | -2.8899 | 2.0532 | 0.6601 | -0.0737 | -0.5171 |
| Government | 0.044 | 60.03% | -0.4992 | 0.7319 | 0.113 | -0.1214 | 0.1447 |
| Fiscal | 0.0048 | 65.05% | -0.6548 | 0.2217 | 0.0682 | 0.0337 | -0.1125 |
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