Forecasting Tropical Cyclones in Bangladesh: A Markov Renewal Approach

  • Md. Asaduzzaman
  • A. H. M. Mahbub Latif


Bangladesh frequently suffers from tropical cyclones possibly due to its unique location. The funnel-shaped northern part of the Bay of Bengal causes tidal bores when cyclones make landfall. These tropical cyclones can be very devastating and can severely affect the coastline of Bangladesh. In this study we analyzed 135 tropical cyclones occurred in Bangladesh during 1877–2009 considering the physical characteristics of the storm surge process. For analyzing the storm surge process, a Markov renewal model that takes into account both the sojourn times and the transitions between different types of cyclones simultaneously was considered. Exponential distribution for the sojourn times was assumed to derive the probabilities of occurrence of different types of cyclones for various lengths of time intervals. Given the type of the last cyclone occurred probabilities of occurrence of the next cyclone are reported using the fitted Markov renewal model. The mean recurrence times of different type of cyclones were also calculated assuming ergodicity of the Markov renewal process.


Cyclone prediction Semi-Markov process Non-Poisson process Stationary process 


  1. Alam M, Hossain MA, Shafee S (2003) Frequency of Bay of Bengal cyclonic storms and depressions crossing different coastal zones. Int J Climatol 23:1119–1125CrossRefGoogle Scholar
  2. Ali A (1996) Vulnerability of Bangladesh to climate change and sea level rise through tropical cyclones and storm surges. Water Air Soil Pollut 92(1):171–179Google Scholar
  3. Alvarez E (2005) Estimation in stationary Markov renewal processes, with application to earthquake forecasting in Turkey. Methodol Comput Appl Probab 7(1):119–130CrossRefGoogle Scholar
  4. As-Salek JA, Yasuda T (1995) Comparative study of the storm surge models proposed for Bangladesh: last developments and research needs. J Wind Eng Ind Aerodyn 54–55:595–610CrossRefGoogle Scholar
  5. Dube S, Sinha P, Roy G (1985) The numerical simulation of storm surges along the Bangladesh coast. Dyn Atmos Oceans 9(2):121–133CrossRefGoogle Scholar
  6. Dube S, Sinha P, Roy G (1986) Numerical simulation of storm surges in Bangladesh using a bay-river coupled model. Coast Eng 10(1):85–101CrossRefGoogle Scholar
  7. Fiorentino M, Versace P, Rossi F (1984) Two component extreme value distribution for flood frequency analysis. Water Resour Res 20(7):847–856CrossRefGoogle Scholar
  8. Garavaglia E, Pavani R (2011) About earthquake forecasting by Markov renewal processes. Methodol Comput Appl Probab 13(1):155–169CrossRefGoogle Scholar
  9. Gupta V, Duckstein L (1975) A stochastic analysis of extreme droughts. Water Resour Res 11(2):221–228CrossRefGoogle Scholar
  10. Haque C (1995) Climatic hazards warning process in Bangladesh: experience of, and lessons from, the 1991 April cyclone. Environ Manag 19(5):719–734CrossRefGoogle Scholar
  11. Haque C, Blair D (1992) Vulnerability to tropical cyclones: evidence from the April 1991 cyclone in coastal Bangladesh. Disasters 16(3):217–229CrossRefGoogle Scholar
  12. Islam T, Peterson R (2009) Climatology of landfalling tropical cyclones in Bangladesh 1877–2003. Nat Hazards 48(1):115–135CrossRefGoogle Scholar
  13. Jagger T, Niu X, Elsner J (2002) A space-time model for seasonal hurricane prediction. Int J Climatol 22(4):451–465CrossRefGoogle Scholar
  14. Janssen J, Manca R (2007) Semi-Markov risk models for finance, insurance and reliability. Springer, New YorkGoogle Scholar
  15. Khalil G (1992) Cyclones and storm surges in Bangladesh: some mitigative measures. Nat Hazards 6(1):11–24CrossRefGoogle Scholar
  16. Lardet P, Obled C (1994) Real-time flood forecasting using a stochastic rainfall generator. J Hydrol 162(3–4):391–408CrossRefGoogle Scholar
  17. Lu Y, Garrido J (2005) Doubly periodic non-homogeneous Poisson models for hurricane data. Stat Methodol 2(1):17–35CrossRefGoogle Scholar
  18. Mooley DA (1980) Severe cyclonic storms in the Bay of Bengal, 1877–1977. Mon Weather Rev 108:1647–1655CrossRefGoogle Scholar
  19. Mooley D (1981) Applicability of the Poisson probability model to the severe cyclonic storms striking the coast around the Bay of Bengal. Sankhya Indian J Stat Ser B 43(2):187–197Google Scholar
  20. Murty TS, Flather RA, Henry RF (1986) The storm surge problem in the Bay of Bengal. Prog Oceanogr 16(4):195–233CrossRefGoogle Scholar
  21. Ogata Y (1988) Statistical models for earthquake occurrences and residual analysis for point processes. J Am Stat Assoc 83(401):9–27CrossRefGoogle Scholar
  22. Ogata Y (1998) Space-time point-process models for earthquake occurrences. Ann Inst Stat Math 50(2):379–402CrossRefGoogle Scholar
  23. Raghavendra VK (1973) A statistical analysis of the number of tropical storms and depressions in the Bay of Bengal during 1890–1969. Indian J Meteorol Geophys 24:125–130Google Scholar
  24. Rai Sircar NC (1956) A climatological study of storms and depressions in the Bay of Bengal. Indian J Meteorol Geophys 7:157–160Google Scholar
  25. Rumpf J, Weindl H, Hoppe P, Rauch E, Schmidt V (2007) Stochastic modelling of tropical cyclone tracks. Math Method Oper Res 66(3):475–490CrossRefGoogle Scholar
  26. Sinha P, Dube S, Roy G, Jaggi S (1986) Numerical simulation of storm surges in Bangladesh using a multi-level model. Int J Numer Methods Fluids 6(5):305–311CrossRefGoogle Scholar

Copyright information

© Springer Science+Business Media Dordrecht 2014

Authors and Affiliations

  1. 1.Institute of Statistical Research and Training (ISRT)University of DhakaDhakaBangladesh

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