Nonlinear Impacts of Interannual Temperature and Precipitation Changes on Spring Phenology in China’s Provincial Capitals
Highlights
- For 31 provincial capitals and municipalities in mainland China (2001–2023), the start-of-season (SOS) date, derived from MODIS MCD12Q2 Greenup_1 as the spring green-up transition metric, is primarily distributed within approximately DOY 73.55–138.11 and advances by 0.81 d·yr−1 on average, exhibiting earlier timing in the south, later timing in the north, and delayed timing over plateau regions.
- Among pixels with significant or marginally significant SOS trends identified by the Mann–Kendall test (MK p < 0.10), advancing and delaying SOS trends commonly coexist within most cities, while advancing pixels dominate overall (75.02% vs. 24.98%). SHAP dependence relationships further reveal generally nonlinear and piecewise effects of interannual temperature- and precipitation-change rates (tem_slope, pre_slope), delineating spatially differentiated climate-sensitive intervals via tipping points.
- The identified tipping points and associated sensitive ranges provide quantitative, interpretable climate thresholds that can support urban greening design and climate-adaptive management under sustained warming and precipitation changes.
- The unified 500 m grid workflow integrating MK–Sen trend characterization with XGBoost–SHAP attribution and threshold identification offers a transferable framework for diagnosing spatially heterogeneous, nonlinear climate–phenology relationships across cities.
Abstract
1. Introduction
2. Materials and Methods
2.1. Study Area
2.2. Datasets and Processing
2.2.1. Urban Boundaries and Definition of Analysis Units
2.2.2. Vegetation Phenology Data
2.2.3. Climate Data
2.2.4. Construction of Annual Panel Datasets for Temperature and Precipitation
2.3. Methods
2.3.1. Pixel-Scale SOS Trend Testing and Significance Classification
2.3.2. Estimation of Long-Term Change Rates in Climatic Drivers
2.3.3. XGBoost Model Development and Evaluation
2.3.4. SHAP Interpretation Framework and Threshold Extraction
3. Results
3.1. Spatial Pattern of Mean SOS Across Provincial Capitals and Municipalities in Mainland China
3.2. Distributional Characteristics of City-Level SOS Within Different Climatic Zones
3.3. Pixel-Scale and City-Scale SOS Trend Patterns and Spatial Heterogeneity
3.4. Key Climatic Drivers and Threshold Differences Revealed by XGBoost–SHAP
4. Discussion
4.1. Spatial Pattern of Urban Spring SOS and the Climatic Background
4.2. Climatic-Zonal Attribution of Spring SOS and Differences in Relative Constraints
4.3. Climatic Thresholds and Nonlinear Responses of SOS
4.4. Methodological Implications and Limitations
5. Conclusions
- (1)
- The multi-year mean SOS exhibits a clear large-scale spatial gradient characterized by earlier green-up in the south, later green-up in the north, and delayed green-up over plateau regions. City-level mean SOS values are mainly distributed within approximately 74–138 DOY, with pronounced differences among climatic zones. Cities in the southern subtropical and marginal tropical zones generally show earlier green-up with relatively smaller within-city dispersion, whereas the middle subtropical zone exhibits the largest inter-city dispersion, spanning from the low 80 s to around 101 DOY. These patterns are consistent with the combined influences of large-scale climatic gradients and local geographic conditions (e.g., topography and underlying-surface heterogeneity). Pixel-scale MK–Sen results further show that advancing and delaying pixels commonly coexist within most cities. When trend directions of significant and marginally significant pixels are summarized at the city scale, marked inter-city differences emerge in the proportions of β < 0 and β > 0 pixels, manifesting as cities dominated by advancing trends, cities dominated by delaying trends, or cities in which the two types occur at comparable proportions. Overall, these results highlight substantial geographic heterogeneity in both the direction and magnitude of SOS changes within and across cities.
- (2)
- XGBoost–SHAP attribution reveals that the impacts of climatic-change rates on SOS trends are predominantly nonlinear and piecewise at the city scale. For temperature, most cities exhibit a positive tem_slope threshold (typically ~0.02–0.08 °C·year−1), indicating that marginal temperature contributions become evidently non-neutral only after warming exceeds a minimum rate; threshold ranges vary across climatic zones, with plateau cities clustering around 0.02–0.05 °C·year−1 and middle subtropical cities spanning from slightly negative to clearly positive values (−0.0267 to 0.1000 °C·year−1). In contrast, precipitation-related thresholds, expressed on an annual total precipitation basis, span an overall range of −13.4286 to 14.9929 mm·year−1, indicating that transitions into moisture-sensitive regimes can occur under relatively modest long-term wetting or drying trends, with substantial inter-city heterogeneity. Under our strict screening criteria, most cities are characterized by a single main turning point for each driver, while multi-threshold patterns are rare and retained only when strongly supported (e.g., Hohhot for tem_slope and Haikou for pre_slope). Collectively, these turning points delineate comparable climatic thresholds and sensitive intervals that enable cross-city comparisons of nonlinear climate–SOS linkages across climatic zones.
- (3)
- By integrating gridded MK–Sen trend analysis with XGBoost–SHAP attribution and threshold identification, this study provides a transferable and interpretable framework for examining urban phenology–climate relationships that can be extended to other phenological indicators and ecological response processes. Meanwhile, given the spatiotemporal resolutions of MCD12Q2 and TerraClimate and the lack of explicit representation of anthropogenic influences (e.g., land-use change, greening management, and urban heat-island effects), the thresholds reported here should be interpreted as statistical response turning points within an observational, model-interpretation framework under a regional climatic background rather than as strict causal tipping points. Future work should combine higher-resolution phenological products with refined urban climate datasets and incorporate urban morphology and management factors to better resolve intra-urban heterogeneity, and to evaluate the potential ecological risks and management implications associated with crossing these statistically identified response regimes using process-based models and scenario simulations.
Supplementary Materials
Author Contributions
Funding
Data Availability Statement
Acknowledgments
Conflicts of Interest
References
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| City | Province-Level Unit | Climate Zone Code | Climate Zone Name |
|---|---|---|---|
| Harbin | Heilongjiang Province | 12 | Middle temperate zone |
| Shenyang | Liaoning Province | 12 | Middle temperate zone |
| Changchun | Jilin Province | 12 | Middle temperate zone |
| Yinchuan | Ningxia Hui Autonomous Region | 12 | Middle temperate zone |
| Urumqi | Xinjiang Uygur Autonomous Region | 12 | Middle temperate zone |
| Lanzhou | Gansu Province | 12 | Middle temperate zone |
| Hohhot | Inner Mongolia Autonomous Region | 12 | Middle temperate zone |
| Beijing | Beijing Municipality | 13 | Warm temperate zone |
| Jinan | Shandong Province | 13 | Warm temperate zone |
| Shijiazhuang | Hebei Province | 13 | Warm temperate zone |
| Taiyuan | Shanxi Province | 13 | Warm temperate zone |
| Tianjin | Tianjin Municipality | 13 | Warm temperate zone |
| Xi’an | Shaanxi Province | 13 | Warm temperate zone |
| Zhengzhou | Henan Province | 13 | Warm temperate zone |
| Hangzhou | Zhejiang Province | 21 | Northern subtropical zone |
| Hefei | Anhui Province | 21 | Northern subtropical zone |
| Shanghai | Shanghai Municipality | 21 | Northern subtropical zone |
| Changsha | Hunan Province | 21 | Northern subtropical zone |
| Nanjing | Jiangsu Province | 21 | Northern subtropical zone |
| Wuhan | Hubei Province | 21 | Northern subtropical zone |
| Chengdu | Sichuan Province | 22 | Middle subtropical zone |
| Chongqing | Chongqing Municipality | 22 | Middle subtropical zone |
| Fuzhou | Fujian Province | 22 | Middle subtropical zone |
| Guiyang | Guizhou Province | 22 | Middle subtropical zone |
| Nanchang | Jiangxi Province | 22 | Middle subtropical zone |
| Kunming | Yunnan Province | 22 | Middle subtropical zone |
| Nanning | Guangxi Zhuang Autonomous Region | 23 | Southern subtropical zone |
| Guangzhou | Guangdong Province | 23 | Southern subtropical zone |
| Haikou | Hainan Province | 31 | Marginal tropical zone |
| Xining | Qinghai Province | 43 | Plateau climate zone |
| Lhasa | Tibet Autonomous Region | 44 | Plateau climate zone |
| Data Type | Data Product | Native Resolution | Time Range | Source |
|---|---|---|---|---|
| Urban boundary | Global Urban Boundary | Vector (no native pixel size; boundary delineation derived from 30 m GAIA impervious surface; effective mapping precision approximately 30 m) | 2018 | http://data.ess.tsinghua.edu.cn (accessed on 17 March 2026) |
| Spring phenology (SOS) | MCD12Q2 (Collection 6.1) | 500 m | 2001–2023 | https://www.earthdata.nasa.gov/data/catalog/lpcloud-mcd12q2-061 (accessed on 17 March 2026) |
| Climate variables | TerraClimate | 1/24° (approximately 4 km) | 2001–2023 | https://www.climatologylab.org/terraclimate.html (accessed on 17 March 2026) |
| Climate Zone Code (A–G) | Climate Zone | n (Cities) | Mean SOS (DOY) ± SD | Mean SOS Trend (d·Year−1) ± SD | Significant Grids (%) (p < 0.05) |
|---|---|---|---|---|---|
| A | Plateau climate zone | 2 | 126.73 ± 1.66 | 0.04 ± 0.46 | 30.79 |
| B | Southern subtropical zone | 2 | 83.13 ± 1.19 | −0.28 ± 0.29 | 5.84 |
| C | Middle subtropical zone | 6 | 89.92 ± 8.78 | −1.75 ± 0.74 | 28.24 |
| D | Northern subtropical zone | 6 | 81.20 ± 3.92 | −0.67 ± 0.65 | 27.79 |
| E | Middle temperate zone | 7 | 130.72 ± 7.45 | −1.04 ± 0.30 | 57.74 |
| F | Warm temperate zone | 7 | 100.47 ± 21.62 | −0.44 ± 1.56 | 62.25 |
| G | Marginal tropical zone | 1 | 83.56 ± — | 0.12 ± — | 6.16 |
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Zhou, Z.; Huang, S.; Wang, L.; Li, Y.; Li, R.; Zhang, X.; Wang, J. Nonlinear Impacts of Interannual Temperature and Precipitation Changes on Spring Phenology in China’s Provincial Capitals. Remote Sens. 2026, 18, 952. https://doi.org/10.3390/rs18060952
Zhou Z, Huang S, Wang L, Li Y, Li R, Zhang X, Wang J. Nonlinear Impacts of Interannual Temperature and Precipitation Changes on Spring Phenology in China’s Provincial Capitals. Remote Sensing. 2026; 18(6):952. https://doi.org/10.3390/rs18060952
Chicago/Turabian StyleZhou, Zhengming, Shaodong Huang, Longhuan Wang, Yujie Li, Rui Li, Xinyang Zhang, and Jia Wang. 2026. "Nonlinear Impacts of Interannual Temperature and Precipitation Changes on Spring Phenology in China’s Provincial Capitals" Remote Sensing 18, no. 6: 952. https://doi.org/10.3390/rs18060952
APA StyleZhou, Z., Huang, S., Wang, L., Li, Y., Li, R., Zhang, X., & Wang, J. (2026). Nonlinear Impacts of Interannual Temperature and Precipitation Changes on Spring Phenology in China’s Provincial Capitals. Remote Sensing, 18(6), 952. https://doi.org/10.3390/rs18060952

