Paper:
A Spatially Constrained k-means++ Approach for Multi-Disaster Regionalization in China
Yi Tang*,**,***
, Yuanda Zhang*, and Longsheng Huang*,**,

*School of Emergency Technology and Management, University of Emergency Management
No.465 Xueyuan Street, Sanhe, Hebei 065201, China
**Hebei Key Laboratory of Resource and Environmental Disaster Mechanism and Risk Monitoring
Sanhe, China
***Department of Statistics and Data Science, Tsinghua University
Beijing, China
Corresponding author
The spatial zoning of disaster-prone areas in mainland China presents a compelling yet complex challenge. Despite significant strides in disaster management and risk reduction, a comprehensive and region-specific disaster zoning that considers spatial contiguity remains largely unexplored. This study seeks to address this gap by applying and comparing four clustering methods: k-means, spatially constrained k-means, k-means++, and spatially constrained k-means++. These methods were evaluated based on their ability to categorize regions by the extent of areas affected by five major disaster types: floods, droughts, low temperatures, typhoons, and hailstorms. The spatially constrained k-means++ algorithm emerged as the most effective, as it addressed spatial discontinuity inherent in disaster zoning and mitigated the initial value problem linked to traditional k-means methods. Using this approach, mainland China was divided into four distinct disaster-prone clusters. Cluster 1, encompassing 25 provinces, exhibited a complex and overlapping hazard profile, while Clusters 2 and 3 (Hebei–Jilin–Xinjiang and Jiangxi–Hubei, respectively) reflected more specific regional disaster patterns. Hainan formed an independent cluster because of its unique typhoon dominance. These spatially coherent zoning results provide a robust foundation for developing differentiated disaster management strategies, from integrated approaches in multi-disaster regions to specialized interventions in areas facing dominant threats.
- [1] A. K. Gupta and S. S. Nair, “Environmental impact assessment: Elucidating policy-planning for natural disaster management,” A. K. Gupta and S. S. Nair (Eds.), “Ecosystem Approach to Disaster Risk Reduction,” pp. 163-186, National Institute of Disaster Management, 2012.
- [2] N. Agrawal, M. Elliott, and S. P. Simonovic, “Risk and resilience: A case of perception versus reality in flood management,” Water, Vol.12, No.5, Article No.1254, 2020. https://doi.org/10.3390/w12051254
- [3] O. Rodríguez-Espíndola, P. Albores, and C. Brewster, “Disaster preparedness in humanitarian logistics: A collaborative approach for resource management in floods,” Eur. J. Oper. Res., Vol.264, pp. 978-993, 2018. https://doi.org/10.1016/j.ejor.2017.01.021
- [4] W. M. Qin, A. W. Lin, J. Fang, L. C. Wang, and M. Li, “Spatial and temporal evolution of community resilience to natural hazards in the coastal areas of China,” Nat. Hazards, Vol.89, pp. 331-349, 2017. https://doi.org/10.1007/s11069-017-2967-3
- [5] P. Cui, J. Peng, P. Shi, H. Tang, C. Ouyang, Q. Zou, L. Liu, C. Li, and Y. Lei, “Scientific challenges of research on natural hazards and disaster risk,” Geogr. Sustain., Vol.2, No.3, pp. 216-223, 2021. https://doi.org/10.1016/j.geosus.2021.09.001
- [6] P. Gao, Y. Gao, H. J. Li, and J. Y. Jiang, “Natural disaster regionalization based on emergency management in China,” J. Catastrophol., Vol.28, pp. 138-141+165, 2013 (in Chinese).
- [7] H. S. Xu, C. Ma, J. J. Lian, K. Xu, and E. Chaima, “Urban flooding risk assessment based on an integrated k-means cluster algorithm and improved entropy weight method in the region of Haikou, China,” J. Hydrol., Vol.563, pp. 975-986, 2018. https://doi.org/10.1016/j.jhydrol.2018.06.060
- [8] W. H. Fang and H. X. Zhang, “Zonation and scaling of tropical cyclone hazards based on spatial clustering for coastal China,” Nat. Hazards, Vol.109, pp. 1271-1295, 2021. https://doi.org/10.1007/s11069-021-04878-4
- [9] G. Y. Ren, Y. H. Ding, Z. C. Zhao, J. Y. Zheng, T. W. Wu, G. L. Tang, and Y. Xu, “Recent progress in studies of climate change in China,” Adv. Atmos. Sci., Vol.29, pp. 958-977, 2012. https://doi.org/10.1007/s00376-012-1200-2
- [10] S. Kim and P. G. Rowe, “Are master plans effective in limiting development in China’s disaster-prone areas?” Landsc. Urban Plan., Vol.111, pp. 79-90, 2013. https://doi.org/10.1016/j.landurbplan.2012.12.001
- [11] C. L. Franzke, “Impacts of a changing climate on economic damages and insurance,” Econ. Disaster Clim. Change, Vol.1, pp. 95-110, 2017. https://doi.org/10.1007/s41885-017-0004-3
- [12] S. Li, Y. Tang, Y. Zhao, X. Ning, Y. Zhang, S. Lv, and C. Liu, “Assessing future flood risk using remote sensing and explainable machine learning: A case study in the Beijing-Tianjin-Hebei region,” Remote Sens. Appl., Vol.40, Article No.101742, 2025. https://doi.org/10.1016/j.rsase.2025.101742
- [13] H. W. Qian and J. L. Mei, “Research on layout design of China’s natural disaster regional emergency rescue center,” J. Catastrophol., Vol.35, pp. 194-199, 2020 (in Chinese). https://doi.org/10.3969/j.issn.1000-811X.2020.02.035
- [14] C. H. Hu, X. L. Zhang, C. Q. Li, C. S. Liu, J. X. Wang, and S. Q. Jian, “Real-time flood classification forecasting based on k-means++ clustering and neural network,” Water Resour. Manage., Vol.36, pp. 103-117, 2022. https://doi.org/10.1007/s11269-021-03014-y
- [15] G. Csardi and T. Nepusz, “The igraph software package for complex network research,” InterJ Complex Syst., Vol.1695, No.5, 2006.
- [16] F. Leisch, “A toolbox for K-centroids cluster analysis,” Comput. Stat. Data Anal., Vol.51, pp. 526-544, 2007. https://doi.org/10.1016/j.csda.2005.10.006
- [17] D. M. Witten and R. Tibshirani, “sparcl: Perform sparse hierarchical clustering and sparse k-means clustering. R package version 1.0.4,” 2018.
- [18] M. Maechler, P. Rousseeuw, A. Struyf, M. Hubert, and K. Hornik, “cluster: Cluster analysis basics and extensions. R package version 2.1.4,” 2022.
- [19] M. Farnaghi, Z. Ghaemi, and A. Mansourian, “Dynamic spatio-temporal tweet mining for event detection: A case study of Hurricane Florence,” Int. J. Disaster Risk Sci., Vol.11, pp. 378-393, 2020. https://doi.org/10.1007/s13753-020-00280-z
- [20] A. M. Ikotun, F. Habyarimana, and A. E. Ezugwu, “Benchmarking validity indices for evolutionary k-means clustering performance,” Sci. Rep., Vol.15, Article No.21842, 2025. https://doi.org/10.1038/s41598-025-08473-6
- [21] Y. Tang, “A spatially interpretable machine learning framework for urban waterlogging risk mapping in Beijing,” PeerJ, Vol.14, Article No.e20977, 2026. https://doi.org/10.7717/peerj.20977
- [22] P. Shi, T. Ye, Y. Wang, T. Zhou, W. Xu, J. Du, J. Wang, N. Li, C. Huang, L. Liu, B. Chen, Y. Su, W. Fang, M. Wang, X. Hu, J. Wu, C. He, Q. Zhang, Q. Ye, C. Jaeger, and N. Okada, “Disaster risk science: A geographical perspective and a research framework,” Int. J. Disaster Risk Sci., Vol.11, pp. 426-440, 2020. https://doi.org/10.1007/s13753-020-00296-5
- [23] A. Curtis, D. Duval-Diop, and J. Novak, “Identifying spatial patterns of recovery and abandonment in the post-Katrina Holy Cross neighborhood of New Orleans,” Cartogr. Geogr. Inf. Sci., Vol.37, pp. 45-56, 2010. https://doi.org/10.1559/152304010790588043
- [24] J. A. Kupfer, P. Gao, and D. S. Guo, “Regionalization of forest pattern metrics for the continental United States using contiguity constrained clustering and partitioning,” Ecol. Inform., Vol.9, pp. 11-18, 2012. https://doi.org/10.1016/j.ecoinf.2012.02.001
- [25] R. Djalante and F. Thomalla, “Disaster risk reduction and climate change adaptation in Indonesia: Institutional challenges and opportunities for integration,” Int. J. Disaster Resil. Built Environ., Vol.3, pp. 166-180, 2012. https://doi.org/10.1108/17595901211245260
- [26] S. Hanson, R. Nicholls, N. Ranger, S. Hallegatte, J. Corfee-Morlot, C. Herweijer, and J. Chateau, “A global ranking of port cities with high exposure to climate extremes,” Clim. Change, Vol.104, pp. 89-111, 2011. https://doi.org/10.1007/s10584-010-9977-4
- [27] V. Gallina, S. Torresan, A. Critto, A. Sperotto, T. Glade, and A. Marcomini, “A review of multi-risk methodologies for natural hazards: Consequences and challenges for a climate change impact assessment,” J. Environ. Manage., Vol.168, pp. 123-132, 2016. https://doi.org/10.1016/j.jenvman.2015.11.011
- [28] M. Petal, K. Ronan, G. Ovington, and M. Tofa, “Child-centred risk reduction and school safety: An evidence-based practice framework and roadmap,” Int. J. Disaster Risk Reduct., Vol.49, Article No.101633, 2020. https://doi.org/10.1016/j.ijdrr.2020.101633
- [29] I. Omer and R. Goldblatt, “Urban spatial configuration and socio-economic residential differentiation: The case of Tel Aviv,” Comput. Environ. Urban Syst., Vol.36, pp. 177-185, 2012. https://doi.org/10.1016/j.compenvurbsys.2011.09.003
- [30] T. Filatova, P. H. Verburg, D. C. Parker, and C. A. Stannard, “Spatial agent-based models for socio-ecological systems: Challenges and prospects,” Environ. Model. Softw., Vol.45, pp. 1-7, 2013. https://doi.org/10.1016/j.envsoft.2013.03.017
- [31] X. Zhai, Y. Zhang, Y. Zhang, R. Liu, C. Liu, X. Zhang, Y. Chen, X. Wang, N. Wright, and “Classifying flash flood disasters from disaster-prone environments to support mitigation measures,” Water Resour. Res., Vol.61, No.4, Article No.e2024WR037389, 2025. https://doi.org/10.1029/2024wr037389
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