Flood risk assessment and associated uncertainty

Abstract. Flood disaster mitigation strategies should be based on a comprehensive assessment of the flood risk combined with a thorough investigation of the uncertainties associated with the risk assessment procedure. Within the "German Research Network of Natural Disasters" (DFNK) the working group "Flood Risk Analysis" investigated the flood process chain from precipitation, runoff generation and concentration in the catchment, flood routing in the river network, possible failure of flood protection measures, inundation to economic damage. The working group represented each of these processes by deterministic, spatially distributed models at different scales. While these models provide the necessary understanding of the flood process chain, they are not suitable for risk and uncertainty analyses due to their complex nature and high CPU-time demand. We have therefore developed a stochastic flood risk model consisting of simplified model components associated with the components of the process chain. We parameterised these model components based on the results of the complex deterministic models and used them for the risk and uncertainty analysis in a Monte Carlo framework. The Monte Carlo framework is hierarchically structured in two layers representing two different sources of uncertainty, aleatory uncertainty (due to natural and anthropogenic variability) and epistemic uncertainty (due to incomplete knowledge of the system). The model allows us to calculate probabilities of occurrence for events of different magnitudes along with the expected economic damage in a target area in the first layer of the Monte Carlo framework, i.e. to assess the economic risks, and to derive uncertainty bounds associated with these risks in the second layer. It is also possible to identify the contributions of individual sources of uncertainty to the overall uncertainty. It could be shown that the uncertainty caused by epistemic sources significantly alters the results obtained with aleatory uncertainty alone. The model was applied to reaches of the river Rhine downstream of Cologne.

[1]  Jim W. Hall,et al.  Handling uncertainty in the hydroinformatic process , 2003 .

[2]  Jan Rotmans,et al.  Uncertainty in Integrated Assessment Modelling , 2002 .

[3]  J. K. Vrijling,et al.  Probabilistic design of water defense systems in The Netherlands , 2001, Reliab. Eng. Syst. Saf..

[4]  Shin Ta Liu,et al.  Risk Modeling, Assessment, and Management , 1999, Technometrics.

[5]  H. Christopher Frey,et al.  Probabilistic Techniques in Exposure Assessment: A Handbook for Dealing with Variability and Uncertainty in Models and Inputs , 1999 .

[6]  Robert E. Melchers,et al.  Probabilistic Risk Assessment of Engineering Systems , 1997 .

[7]  Joshua T. Cohen,et al.  The use of two‐stage Monte Carlo simulation techniques to characterize variability and uncertainty in risk analysis , 1996 .

[8]  S. Ferson,et al.  Different methods are needed to propagate ignorance and variability , 1996 .

[9]  Enrico Zio,et al.  Two methods for the structured assessment of model uncertainty by experts in performance assessments of radioactive waste repositories , 1996 .

[10]  Jon C. Helton,et al.  Guest editorial: treatment of aleatory and epistemic uncertainty in performance assessments for complex systems , 1996 .

[11]  F. O. Hoffman,et al.  Propagation of uncertainty in risk assessments: the need to distinguish between uncertainty due to lack of knowledge and uncertainty due to variability. , 1994, Risk analysis : an official publication of the Society for Risk Analysis.

[12]  David R. Maidment,et al.  Handbook of Hydrology , 1993 .

[13]  Eric F. Wood,et al.  A Bayesian approach to analyzing uncertainty among flood frequency models , 1975 .

[14]  A. James Flood Risk Management and the American River Basin : An Evaluation , 2004 .

[15]  Jim W. Hall,et al.  Non-additive probabilities for representing uncertain knowledge , 1998 .

[16]  U. Epa,et al.  Guiding Principles for Monte Carlo Analysis , 1997 .

[17]  David S. Bowles,et al.  Risk Assessment Approach to Dam Safety Criteria , 1996 .

[18]  M. G. Morgan,et al.  Uncertainty: A Guide to Dealing with Uncertainty in Quantitative Risk and Policy Analysis , 1990 .

[19]  S. Dyck,et al.  Grundlagen der Hydrologie , 1983 .