Identifying Leading Hazards in Riau Islands: A Monthly Markov Chain Analysis of Disaster Dominance Patterns
DOI:
https://doi.org/10.25077/jmua.15.3.436-448.2026Keywords:
Hazard, Markov Chain, Monthly Disaster, Riau IslandsAbstract
This study analyzes disaster dominance patterns in the Riau Islands using a monthly Markov chain model with five states: non hazard (S0), hydrological (S1,flood), geomorphological (S2,landslide), meteorological (S3,extreme weather), and ecological (S4,wildfire) hazard. Based on 2019-2024 data from Indonesia’s National Disaster Management Agency (BNPB), the research quantifies transition probabilities between hazard states and computes steady-state distributions to identify long-term risks. Key findings reveal wildfires dominate the system with 40.6% steady-state probability and high persistence (63% monthly recurrence), reflecting the region’s dry-seasonal vulnerability. Extreme weather and floods show significant but secondary prevalence (24.1% and 12.5%, respectively). Landslides are rare (2.5%) but often escalate to wildfires. The transition matrix highlights wildfire transitions following floods (44.5% probability), suggesting delayed risk cascades. Methodologically, this study advances archipelagic hazard modeling by integrating monthly timesteps and hazard taxonomy, offering granular insights for policymakers. Practical implications include prioritizing peatland restoration, flood-resistant infrastructure, and ASEAN-wide early warning systems to address transboundary haze.
References
[1] Mehta, M., Shukla, T., Bhambri, R., Gupta, A. K., Dobhal, D. P., 2017, Terrain Changes, caused by the 15-17 June 2013 heavy rainfall in the Grhwal Himalaya, India. A Case Study of Alaknanda and Mandakini Basins, Geomorphology, Vol. 284, 53-71
[2] Situ, Z., Zhong, Q., Zhang, J., Teng, S., Ge, X., Zhou, Q., Zhao, Z., 2025, Attention-based Deep Learning Framework for Urban Flood Damage and Risk Assessment with Improved Flood Prediction and Land Use Segmentation, International Journal of Disaster Risk Reduction, Vol. 116, 105165
[3] Doorga, J. R. S., 2022, Climate Change and The Fate of Small Islands. The Case of Mauritius, Environmental Science and Policy, Vol. 136, 282-290
[4] Doorga, J. R. S., Pasnin, O., Dindoyal, Y., Diaz, C., 2023, Risk Assessment of Coral Reef Vulnerability to Climate Change and Stressors in Tropical Island. The Case of Mauritius, Science of The Total Environment, Vol. 891, 164648
[5] Bai, Y., Sun, S., Xu, Y., Zhao, Y., Pan, Y., Xiao, Y., Li, R., 2025, Exploring the Dynamic Impact of Future Land Use Changes on Urban Flood Disasters. A Case Study in Zhengzhou City China, Geography and Sustainability, Vol. 6, 100287
[6] Kamaruzzaman, M., Kabir, M., Rahman, A., Jahan, C., Mazumder, Q., Rahman, M., 2018, Modeling of Agricultural Drought Risk Pattern using Markov Chain and GIS in The Western Part of Bangladesh, Environment, Development and Sustainability, Vol. 20, 569-588
[7] Lee, S. Ik, Jeong, Y., Lee, J. Hyuk, Chung, G., Choi, W., 2020, Development of Heavy Snowfall Alarm Model using A Markov Chain for Disaster Prevention to Greenhouses, Biosystems Engineering, Vol. 200, 353-365
[8] Liu, H., Tatano, H., Pflug, G., Hochrainer-Stigler, S., 2021, Post-Disaster Recovery in Industrial Sectors. A Markov Process Analysis of Multiple Lifeline Disruptions, Reliability Engineering and System Safety, Vol. 206, 107299
[9] Liu, H., Tatano, H., Kajitani, Y., Yang, Y., 2022, Analysis of The Influencing Factors on Industrial Resilience to Flood Disasters using A Semi-Markov Recovery Model. A Case Study of The Heavy Rain Event of July 2018 in Japan, International Journal of Disaster Risk Reduction, Vol. 82, 103384
[10] Sun, T., Liu, D., Liu, D., Zhang, L., Li, M., Khan, M. I., Li, T., Cui, S., 2023, A New Method for Flood Disaster Resilience Evaluation. A Hidden Markov Model based on Bayesian Belief Network Optimization, Journal of Cleaner Production, Vol. 412, 137372
[11] Bagwan, W., 2025, Markov Chain-based Hydrological Drought Assessment for Maharashtra State (2012-2013) and District-Level Drought Risk Forecasts until 2035, Arabian Journal for Science and Engineering, 1-9
[12] Chauhan, P., Akiner, M. E., Shaw, R., Sain, K., 2024, Forecast Future Disaster using Hydro-Meteorological Datasets in the Yamuna River basin, Western Himalaya. Using Markov Chain and LSTM Approaches, Artificial Intelligence in Geosciences, Vol. 5, 100069
[13] Chang, H., Pallathadka, A., Sauer, J., Grimm, N. B., Zimmerman, R., Cheng, C., Iwaniec, D. M., Kim, Y., Lloyd, R., McPhearson, T., Rosenzweig, B., Troxler, T., Welty, C., Brenner, R., Herreros-Cantis, P., 2021, Assessment of Urban Flood Vulnerability using The Socio-Ecological-Technological Systems Framework in Six US Cities, Sustainable Cities and Society, Vol. 68, 102786
[14] Alves, G. J., Mello, C. R., Guo, J., Thebaldi, M. S., 2022, Natural Disaster in The Mountainous Region of Rio de Janeiro State, Brazil. Assessment of The Daily Rainfall Erosivity as An Early Warning Index, International Soil and Water Conservation Research, Vol. 10, 547-556
[15] Odhiambo, J., Weke, P. G. O., Ngare, P., Odhiambo, J., Weke, P., 2020, Modeling Kenyan Economic Impact of Corona Virus in Kenya using Discrete-Time Markov Chains, Journal of Finance and Economics, Vol. 8, 80-85
[16] Park, K., Lee, E. H., 2024, Urban Flood Vulnerability Analysis and Prediction based on The Land Use using Deep Neural Network, International Journal of Disaster Risk Reduction, Vol. 101, 104231
[17] Ahmad, H., Abdul Maulud, K. N., A. Karim, O., Mohd, F. A., 2021, Assessment of Erosion and Hazard in The Coastal Areas of Selangor, Malaysian Journal of Society and Space, Vol. 17
[18] Amores, A., Marcos, M., Pedreros, R., Le Cozannet, G., Lecacheux, S., Rohmer, J., Hinkel, J., Gussmann, G., van der Pol, T., Shareef, A., Khaleel, Z., 2021, Coastal Flooding in the Maldives Induced by Mean-Sea-Level Rise and Wind-Waves. From Global to Local Coastal Modelling, Frontiers in Marine Science, Vol. 8
[19] Hernandez-Delgado, E. A., 2024, Coastal Restoration Challenges and Strategies for Small Island Developing States in The Face of Sea Level Rise and Climate Change, Coast, Vol. 4, 235-286
[20] Konservasi Alam Nusantara, 2025, Supporting Sustainable Management of Marine Conservation Areas in Riau Islands Province, Yayasan Konservasi Alam Nusantara (YKAN), www.ykan.or.id
[21] Setiawan, R., Mahadiansar, M., 2020, Forecasting Analysis. The Riau Islands Local Government Role in Covid-19 Disaster Management, Jurnal Studi Pemerintahan, Vol. 11
[22] Setiawati, M. D., Nandika, M. R., Supriyadi, I. H., Iswari, M. Y., Prayudha, B., Wouthuyzen, S., Adi, N. S., Djamil, Y. S., Hanifa, N. R., Chatterjee, U., Muslim, A. M., Eguchi, T., 2023, Climate Change and Anthropogenic Pressure on Bintan Islands, Indonesia. An Assessment of The Policies Proposed by Local Authorities, Regional Studies in Marine Science, Vol. 66
[23] Wulandari, S. N., Raihan, A. U., Sasnita, S. D., 2023, The Strategy of The Riau Islands Province in Facing Challenges as A State Border Area, International Conference Social-Humanities in Maritime and Border Area (SHIMBA 2023), 110-114, Atlantis Press
[24] Azuri, D. F., Jaya, I. G. N. M., Rosandi, Y., 2025, Bayesian Spatiotemporal Stochastic Partial Differential Equation for High-Resolution Earthquake Magnitude Mapping. Application to Sumatra Island Indonesia, MethodsX, Vol. 15, 103487
[25] Bachri, S., Shrestha, R. P., Sumarmi, Irawan, L. Y., Masruroh, H., Prastiwi, M. R. H., Billah, E. N., Putri, N. R. C., Hakiki, A. R. R., Hidiyah, T. M., 2024, Land Use Change Simulation Model using A Land Change Modeler in Anticipation of The Impact of The Semeru Volcano Eruption Disaster in Indonesia, Environmental Challenges, Vol. 14, 100862
[26] Harahap, R., Masselink, G., Boulton, S. J., 2025, A Coastal Risk Analysis for The Outermost Small Islands of Indonesia. A Multiple Natural Hazard Approach, International Journal of Disaster Risk Reduction, Vol. 121, 105377
[27] Dalimunthe, D. Y., Fahria, I., Wahyuni, D., 2023, Markov Chain Analysis to Predict Natural Disasters in The Province of Bangka Belitung Islands as Part of Preventative Measures to Prevent Environmental Damage, IOP Conference Series. Earth and Environmental Science, Vol. 1267, 1-6
[28] Hidayati, N., Pungkasanti, P. T., Wakhidah, N., 2021, Prediksi Bencana Alam di Kota Semarang menggunakan Algoritma Markov Chains, Jurnal Sains dan Informatika, Vol. 7, 107-116
[29] Novianti, A., Utari, D. T., 2021, Implementation of Markov Chain in Detecting Opportunities for Natural Disasters in Klaten (Case Study. Number of Floods, Landslides, and Hurricanes 2019-2020), Enthusiastic International Journal of Statistics and Data Science, Vol. 1, 58-67
[30] Sari, I. L., Weston, C. J., Newnham, G. J., Volkova, L., 2023, Land Cover Modeling for Tropical Forest Vulnerability Prediction in Kalimantan Indonesia, Remote Sensing Applications. Society and Environment, Vol. 32, 101003
[31] Low Carbon Development Indonesia, 2022, Loss and Damage Akibat Dampak Perubahan Iklim di Sektor Pesisir, Kementerian PPN/Bappenas, https://lcdiindonesia.id
[32] Presiden Republik Indonesia, 2010, Peraturan Pemerintah Republik Indonesia Nomor 64 Tahun 2010 tentang Mitigasi Bencana di Wilayah Pesisir dan Pulaupulau Kecil
[33] Republik Indonesia, 2007, Undang-undang Republik Indonesia Nomor 27 Tahun 2007 tentang Pengelolaan Wilayah Pesisir dan Pulau-Pulau Kecil
[34] United Nations Officer for Disaster Risk Reduction, 2025, What is The Sendai Framework for Disaster Risk Reduction, United Nations Officer for Disaster Risk Reduction, https://www.undrr.org
[35] Hayati, N., Setiawaty, B., Purnaba, I. G. P., 2023, The Application of Discrete Hidden Markov Model on Crosses of Diploid Plant, Barekeng. Jurnal Ilmu Matematika dan Terapan, Vol. 17, 1449-1462
[36] Hayati, N., Sulistyono, E., Handayani, V. A., 2024, Utilizing Discrete Hidden Markov Model to Analyze Tetraploid Plant Breeding, Jurnal Matematika UNAND, Vol. 13, 244-256
[37] United Nations Officer for Disaster Risk Reduction, 2020, Hazard Definition and Classification Review. Technical Report (2021), United Nations Officer for Disaster Risk Reduction, https://www.undrr.org
[38] Badan Nasional Penanggulangan Bencana, 2025, Data Informasi Bencana Indonesia, Badan Nasional Penanggulangan Bencana, https://dibi.bnpb.go.id
[39] Seabrook, E., Wiskott, L., 2023, A Tutorial on The Spectral Theory of Markov Chains, Neural Computation, Vol. 35, 1713-1796, MIT Press Journal
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