Nonlinear and Threshold Effects of Urban Green Space Landscape Patterns on Carbon Sequestration Capacity: Evidence from Lanzhou and Baotou
Abstract
1. Introduction
- (1)
- How do the dominant landscape configuration metrics contributing to carbon sequestration differ between Lanzhou and Baotou?
- (2)
- Do landscape–carbon relationships exhibit city-specific nonlinear and threshold effects?
- (3)
- What configuration mechanisms underlie the divergent carbon sequestration responses between the two cities?
2. Materials and Methods
2.1. Study Area
2.2. Data Sources and Processing
2.3. Estimation of Net Primary Productivity Using the CASA Model
2.4. Quantification of Urban Green Space Landscape Pattern Metrics
2.5. XGBoost-SHAP
2.5.1. XGBoost-Based Regression Modeling
2.5.2. SHAP-Based Model Interpretation
3. Results
3.1. Urban Green Space Pattern Dynamics in Lanzhou and Baotou (2000–2022)
3.2. Spatiotemporal Dynamics of Urban Green Space NPP in Lanzhou and Baotou (2000–2022)
3.3. Spatiotemporal Heterogeneity of Urban Green Space Landscape Metrics (2000–2022)
3.4. XGBoost-SHAP Analysis of Landscape Pattern Effects on Urban Green Space NPP
3.4.1. Comparison of Model Performance
3.4.2. Temporal Evolution of Landscape Metric Contributions to NPP
3.4.3. Nonlinear and Threshold-Dependent Responses of NPP to Landscape Metrics
- (1)
- Lanzhou: Increasing Structural Sensitivity under Topographic Constraint
3.4.4. Divergent Ecological Regimes Between Two Arid Industrial Cities
4. Discussion
4.1. Implications of Landscape Configuration for Urban Green Space Carbon Sequestration
4.1.1. Divergent Structural Controls Under Arid and Semi-Arid Conditions
4.1.2. Context-Dependent Ecological Pathways
4.2. City-Specific Planning Implications for Lanzhou and Baotou
4.2.1. Lanzhou: Maintaining Minimum Aggregation and Limiting Fragmentation
4.2.2. Baotou: Controlling Edge Density and Fragmentation Upper Limits
4.2.3. Threshold-Guided Implementation Under Industrial Constraints
4.3. Limitations and Future Research Directions
5. Conclusions
Author Contributions
Funding
Institutional Review Board Statement
Informed Consent Statement
Data Availability Statement
Conflicts of Interest
Abbreviations
| Abbreviations | Full name |
| UGS | Urban green spaces |
| CASA | Carnegie–Ames–Stanford Approach |
| NPP | Net primary productivity |
| AI | Aggregation index |
| ED | Edge density |
| DIVISION | Division index |
| PLAND | Percentage of landscape |
| FRAC_AM | Area-weighted mean fractal dimension |
| COHESION | Cohesion index |
| SHAP | SHapley Additive exPlanations |
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| Variable | Lanzhou | Baotou |
|---|---|---|
| climate type | Temperate continental semi-arid climate | Temperate continental arid to semi-arid climate |
| Geographic setting | Upper reaches of the Yellow River; narrow river valley urban corridor bordered by mountains | Upper reaches of the Yellow River; broader urban area distributed across plains and adjacent uplands |
| Dominant vegetation | Coniferous forest; broad-leaved forest; shrubland; grassland; meadow; desert | Coniferous forest; broad-leaved forest; shrubland; meadow; desert |
| Soil types | Loess; Gray-calcareous soil; Lithosol; Meadow soil | Chestnut soil; Gray-brown soil; Meadow soil |
| Year | Type | Method | Lanzhou | Baotou | ||
|---|---|---|---|---|---|---|
| Training | Testing | Training | Testing | |||
| 2000 | XGBoost | R2 | 0.651 | 0.470 | 0.358 | 0.325 |
| MAE | 42.587 | 48.257 | 72.512 | 75.651 | ||
| RMSE | 75.549 | 94.561 | 91.264 | 97.263 | ||
| Random Forest (RF) | R2 | 0.488 | 0.462 | 0.327 | 0.306 | |
| MAE | 69.089 | 70.442 | 60.761 | 83.521 | ||
| RMSE | 92.242 | 94.045 | 85.403 | 99.101 | ||
| Gradient Boosting Decision Trees (GBDT) | R2 | 0.548 | 0.403 | 0.302 | 0.297 | |
| MAE | 43.358 | 53.391 | 68.901 | 73.981 | ||
| RMSE | 93.189 | 95.902 | 88.182 | 86.367 | ||
| Ordinary Least Squares (OLS) | R2 | 0.195 | 0.090 | |||
| MAE | 182.904 | 289.190 | ||||
| RMSE | 209.198 | 387.275 | ||||
| 2011 | XGBoost | R2 | 0.520 | 0.495 | 0.427 | 0.358 |
| MAE | 41.657 | 50.261 | 69.581 | 60.274 | ||
| RMSE | 90.268 | 92.657 | 63.517 | 65.213 | ||
| Random Forest (RF) | R2 | 0.438 | 0.423 | 0.429 | 0.325 | |
| MAE | 64.562 | 66.874 | 54.532 | 52.169 | ||
| RMSE | 88.917 | 83.820 | 80.718 | 88.172 | ||
| Gradient Boosting Decision Trees (GBDT) | R2 | 0.455 | 0.432 | 0.356 | 0.338 | |
| MAE | 58.419 | 57.372 | 60.901 | 58.772 | ||
| RMSE | 79.609 | 85.385 | 83.714 | 98.209 | ||
| Ordinary Least Squares (OLS) | R2 | 0.182 | 0.076 | |||
| MAE | 338.180 | 376.150 | ||||
| RMSE | 359.378 | 389.290 | ||||
| 2022 | XGBoost | R2 | 0.643 | 0.510 | 0.457 | 0.379 |
| MAE | 55.35 | 46.93 | 65.168 | 82.772 | ||
| RMSE | 76.977 | 90.441 | 79.088 | 99.642 | ||
| Random Forest (RF) | R2 | 0.488 | 0.462 | 0.477 | 0.326 | |
| MAE | 69.089 | 70.442 | 60.761 | 83.521 | ||
| RMSE | 92.242 | 94.045 | 85.403 | 99.101 | ||
| Gradient Boosting Decision Trees (GBDT) | R2 | 0.555 | 0.469 | 0.474 | 0.306 | |
| MAE | 64.051 | 69.749 | 60.535 | 76.903 | ||
| RMSE | 85.945 | 93.475 | 85.423 | 91.516 | ||
| Ordinary Least Squares (OLS) | R2 | 0.223 | 0.118 | |||
| MAE | 129.109 | 159.170 | ||||
| RMSE | 148.392 | 183.253 | ||||
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Tang, X.; Zhang, B.; Wang, X.; Cui, J. Nonlinear and Threshold Effects of Urban Green Space Landscape Patterns on Carbon Sequestration Capacity: Evidence from Lanzhou and Baotou. Sustainability 2026, 18, 3019. https://doi.org/10.3390/su18063019
Tang X, Zhang B, Wang X, Cui J. Nonlinear and Threshold Effects of Urban Green Space Landscape Patterns on Carbon Sequestration Capacity: Evidence from Lanzhou and Baotou. Sustainability. 2026; 18(6):3019. https://doi.org/10.3390/su18063019
Chicago/Turabian StyleTang, Xianglong, Bowen Zhang, Xiyun Wang, and Jiexin Cui. 2026. "Nonlinear and Threshold Effects of Urban Green Space Landscape Patterns on Carbon Sequestration Capacity: Evidence from Lanzhou and Baotou" Sustainability 18, no. 6: 3019. https://doi.org/10.3390/su18063019
APA StyleTang, X., Zhang, B., Wang, X., & Cui, J. (2026). Nonlinear and Threshold Effects of Urban Green Space Landscape Patterns on Carbon Sequestration Capacity: Evidence from Lanzhou and Baotou. Sustainability, 18(6), 3019. https://doi.org/10.3390/su18063019
