Abstract
A risk profile provides information about the probabilities of event impacts of varying magnitudes. In this study, a probabilistic framework is developed to derive a national-scale flood risk profile, which can be used for disaster risk management and financial planning. These applications typically require risk profiles over a wide range of return periods. For most countries, the historical record of flood impacts is limited to a few decades, insufficient to cover the longest return periods. To overcome this limitation, we developed a stochastic model that can generate arbitrarily long synthetic time series of flood events which have the same statistical characteristics as the historical time series. This includes the joint occurrence probabilities of flood events at different locations across the country. So, the probability of each pair of locations experiencing a flood event in the same event should be the same for the synthetic series as for the historic series. To this end, a novel approach based on ‘simulated annealing’ was implemented. Results show an almost exact reproduction of the statistical properties of the historical time series.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Notes
- 1.
- 2.
Rank numbers are numbers from 1..35 indicating per flood driver the highest (1), second highest (2).. Lowest (35) annual maximum in the series of 35Â years.
References
Beck, H. E., van Dijk, A. I. J. M., Levizzani, V., Schellekens, J., Miralles, D. G., Martens, B., & de Roo, A. (2017). MSWEP: 3-hourly 0.25◦ global gridded precipitation (1979–2015) by merging gauge, satellite, and reanalysis data. Hydrology and Earth System Sciences, 21, 589–615. https://doi.org/10.5194/hess-21-589-2017
Coles, S. (2001). An introduction to statistical modeling of extreme values. Springer. ISBN 1-85233–459-2.
Deltares. (2018). Southeast Asia flood monitoring and risk assessment for regional DRF mechanism. Component 2 report. March 2018.
Diermanse, F. L. M., Geerse, C. P. M. (2012). Correlation models in flood risk analysis, reliability engineering and system safety (RESS). 64–72.
Fang, H., Fang, K., & Kotz, S. (2002) The meta-elliptical distributions with given marginals. Journal of Multivariate Analysis, 82(1), 1–16.
Holland, G. (1980). An analytical model of the wind and pressure profiles in hurricanes. Monthly Weather Review, 108, 1212–1218 (3, 11, 40)
Holland, G. (2008). A revised hurricane pressure–wind model. Monthly Weather Review 136, 3432–3445 (v, 17, 18)
Kaiser, H. F., & Dickman, K. (1962). Sample and population score matrices and sample correlation matrices from an arbitrary population correlation matrix. Psychometrika, 27(2), 179.
Muis, S., Verlaan, M., Winsemius, H. C., Aerts, J. C., & Ward, P. J. (2016). A global reanalysis of storm surges and extreme sea levels. Nature Communications, 7.
Schwarz, G. E. (1978). Estimating the dimension of a model. Annals of statistics, 6(2), 461–464, https://doi.org/10.1214/aos/1176344136.
Stevens, F. R., Gaughan, A. E., Linard, C., & Tatem, A. J. (2015). Disaggregating census data for population mapping using random forests with remotely-sensed and ancillary data. PLoS ONE, 10, e0107042.
Strang, G., (1982). Linear algebra and its applications, San Diego: Harcourt, Brace, Jovanovich, Publishers. ISBN 0-15-551005-3
Author information
Authors and Affiliations
Corresponding author
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2021 The Author(s), under exclusive license to Springer Nature Switzerland AG
About this paper
Cite this paper
Diermanse, F., Beckers, J.V.L., Ansell, C., Bavandi, A. (2021). Accounting for Joined Probabilities in Nation-Wide Flood Risk Profiles. In: Matos, J.C., et al. 18th International Probabilistic Workshop. IPW 2021. Lecture Notes in Civil Engineering, vol 153. Springer, Cham. https://doi.org/10.1007/978-3-030-73616-3_8
Download citation
DOI: https://doi.org/10.1007/978-3-030-73616-3_8
Published:
Publisher Name: Springer, Cham
Print ISBN: 978-3-030-73615-6
Online ISBN: 978-3-030-73616-3
eBook Packages: EngineeringEngineering (R0)