Separating natural and epistemic uncertainty in flood frequency analysis

Journal of Hydrology

Volumn 309, Issue 1-4, 2005, Pages 114-132

  Merz, Bruno ^a   Thieken, Annegret H ^a  

^a GFZ GERMAN RESEARCH CENTRE FOR GEOSCIENCES   (Germany)

Author keywords

Flood estimation; Frequency analysis; Uncertainty; Variability

Indexed keywords

FREQUENCIES; FUNCTIONS; MAXIMUM LIKELIHOOD ESTIMATION; PROBABILITY; RANDOM PROCESSES; UNCERTAIN SYSTEMS;

DISTRIBUTION FUNCTIONS; EPISTEMIC UNCERTAINTY; FAILURE PROBABILITY; FLOOD FREQUENCY;

FLOODS;

FLOOD FREQUENCY; FREQUENCY ANALYSIS; HYDROLOGICAL MODELING; UNCERTAINTY ANALYSIS;

EID: 20344370293     PISSN: 00221694     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.jhydrol.2004.11.015     Document Type: Article

References (61)

1. A. Afshar, and M.A. Marino Determining optimum spillway capacity based on estimated flood distribution Water Power and Dam Construction January 1990
2. N.W. Arnell Changing frequency of extreme hydrological events in northern and western Europe L. Roald K. Nordseth K.A. Hassel Friends in Hydrology, IAHS Publ. No. 187 1989 237 249
3. T. Aven, and K. Pörn Expressing and interpreting the results of quantitative risk analyses. Review and discussion Reliability Engineering and System Safety 61 1998 3 10
4. Y. Bao, Y.-K. Tung, and V.R. Hasfurther Evaluation of uncertainty in flood magnitude estimator on annual expected damage costs of hydraulic structures Water Resources Research 23 11 1987 2020 2029
5. K. Beven How far can we go in hydrological modelling? Hydrology and Earth System Sciences 5 1 2001 1 12
6. B. Bobee, and F. Ashkar Review of statistical methods for estimating flood risk with special emphasis on the Log Pearson Type 3 distribution M.I. El-Sabh T.S. Murty Natural and Man-made Hazards 1988 D. Reidel Publishing Company 357 367
7. B. Bobo, and T.E. Unny Model uncertainty in flood frequency analysis and frequency-based design Water Resources Research 12 6 1976 1109 1117
8. Bogárdi, I., Szidarovszky, F., 1972. The margin of safety for compensating losses due to uncertainties in hydrological statistics. In: Proceedings of the International Symposium of Uncertainties in Hydrologic and Water Resources Systems, 11-14 December 1972, Tuscon, Arizona, vol. 2, pp. 835-852.
9. C. Booy, and L.M. Lye A new look at flood risk determination Water Resources Bulletin 25 5 1989 933 943
10. E.H. Chbab How extreme were the 1995 flood waves on the rivers Rhine and Meuse? Physics and Chemistry of the Earth 20 5-6 1995 455 458
11. E.H. Chbab, J.M. van Noortwijk, and M.T. Duits Bayesian frequency analysis of extreme river discharges F. Toensmann M. Koch River Flood Defence, Kassel Reports of Hydraulic Engineering 2000 Herkules Verlag Kassel F-51 F-60
12. R.T. Clarke Uncertainty in the estimation of mean annual flood due to rating-curve indefinition Journal of Hydrology 222 1999 185 190
13. I.D. Cluckie, and M.L. Pessoa Dam safety: an evaluation of some procedures for design flood estimation Hydrological Sciences 35 1990 547 565
14. A.C. Cullen, and H.C. Frey Probabilistic techniques in exposure assessment A Handbook for Dealing with Variability and Uncertainty in Models and Inputs 1999 Plenum Press New York, London 335 pp
15. C. Cunnane Factors affecting choice of distribution for flood series Hydrological Sciences Journal 30 1985 25 36
16. D.R. Davis, L. Duckstein, and M.M. Fogel Uncertainty in the return period of maximum hydrologic events: a Bayesian approach Journal of Hydrology 31 1976 81 95
17. S. Ferson, and L.R. Ginzburg Different methods are needed to propagate ignorance and variability Reliability Engineering and System Safety 54 1996 133 144
18. M.V. Frank Treatment of uncertainties in space nuclear risk assessment with examples from Cassini mission applications Reliability Engineering and System Safety 66 1999 203 221
19. Haan, C.T., 1972. Evaluation of prediction error probabilities from stochastic models by simulation. In: Proceedings of the International Symposium of Uncertainties in Hydrologic and Water Resources Systems, 11-14 December 1972, Tuscon, Arizona, vol. 1, pp. 91-103.
20. Y.Y. Haimes Risk modeling, assessment, and management Wiley Series in Systems Engineering 1998 Wiley New York 726 pp
21. J.W. Hall Handling uncertainty in the hydroinformatic process Journal of Hydroinformatics 05.4 2003 215 232
22. J.C. Helton Probability, conditional probability and complementary cumulative distribution functions in performance assessment for radioactive waste disposal Reliability Engineering and System Safety 54 1996 145 163
23. F.O. Hoffman, and J.S. Hammonds Propagation of uncertainty in risk assessments: the need to distinguish between uncertainty due to lack of knowledge and uncertainty due to variability Risk Analysis 14 5 1994 707 712
24. S.C. Hora Aleatory and epistemic uncertainty in probability elicitation with an example from hazardous waste management Reliability Engineering and System Safety 54 1996 217 223
25. J.R.M. Hosking, and J.R. Wallis Regional Frequency Analysis An Approach Based on L-Moments 1997 Cambridge University Press Cambridge
26. Institute of Hydrology, 1999. Flood Estimation Handbook, Institute of Hydrology, Crowmarsh Gifford, Wallingford, UK, vol. 1-5.
27. Z. Kaczmarek, N.W. Arnell, and L. Starkel Climate, hydrology, and water resources Z. Kaczmarek K.M. Strzepek L. Smolyody V. Priazhinskaya Water Resources Management in the Face of Climatic/Hydrologic Uncertainties 1996 Kluwer Academic Publishers Dordrecht 3 29
28. V. Klemes Dilettantism in hydrology: transition or destiny? Water Resources Research 22 9 1986 177S 188S
29. V. Klemes The improbable probabilities of extreme floods and droughts O. Starosolszky O.M. Melder Proceedings of Technical Conference 1988 WMO Geneva 43 51
30. V. Klemes Probability of extreme hydrometeorological events - a different approach Z.W. Kundzewicz D. Rosbjerg S.P. Simonovic K. Takeuchi Extreme Hydrological Events: Precipitation, Floods and Droughts, IAHS-Publ. No. 213 1993 167 176
31. R. Krzysztofowicz, and S. Yakowitz Large-sample methods for decision analysis of gamma variates Water Resources Research 16 3 1980 491 500
32. G. Kuczera Comprehensive at-site flood frequency analysis using Monte Carlo Baysian inference Water Resources Research 35 5 1999 1551 1557
33. R. Lammersen, H. Engel, W. Van de Langemheen, and H. Buiteveld Impact of river training and retention measures on flood peaks along the Rhine Journal of Hydrology 267 1-2 2002 115 124
34. B.D. Malamud, D.L. Turcotte, and C.C. Barton The 1993 Mississippi river flood: a one hundred or a one thousand year event? Environmental and Engineering Geoscience II 4 1996 479 486
35. P.C.D. Milly, R.T. Wetherald, K.A. Dunne, and T.L. Delworth Increasing risk of great floods in a changing climate Nature 415 2002 514 517
36. Moore, S.F., Brewer, J.W., 1972. Environmental control systems: treatment of uncertainty in models and data. In: Proceedings of the International Symposium of Uncertainties in Hydrologic and Water Resources Systems, 11-14 December 1972, Tuscon, Arizona, vol. 1, pp. 16-30.
37. M.G. Morgan, and M. Henrion Uncertainty: a guide to dealing with uncertainty in quantitative risk and policy analysis 1990 Cambridge University Press Cambridge, England 332 pp.
38. NRC (National Research Council) Flood Risk Management and the American River Basin. An Evaluation National Research Council 1995 National Academy Press Washington DC p. 235
39. NRC (National Research Council) Risk Analysis and Uncertainty in Flood Damage Reduction Studies 2000 National Academy Press Washington DC 202 pp
40. J.R. Olsen, J.H. Lambert, and Y.Y. Haimes Risk of extreme events under nonstationary conditions Risk Analysis 18 4 1998 497 510
41. G.W. Parry The characterization of uncertainty in probabilistic risk assessment of complex systems Reliability Engineering and Systems Safety 54 1996 119 126
42. Plate, E.J., 1992, Stochastic design in hydraulics: concepts for a broader application, in Stochastic Hydraulics'92, Proceedings of the sixth IAHR International Symposium of stochastic Hydraulics, Taipei, Taiwan, May 18-20, 1992, J.-T. Kuo and G.-F. Lin, Eds., Department of Civil Engineering, National Taiwan University, Taipei, Taiwan, pp. 663-670.
43. E.J. Plate Some remarks on the use of reliability analysis in hydraulic engineering applications B.C. Yen Y.-K. Tung Reliability and Uncertainty Analysis in Hydraulic Design 1993 American Society of Civil Engineers New York 5 15
44. E.J. Plate Statistik und angewandte Wahrscheinlichkeitslehre für Bauingenieure 1993 Ernst & Sohn, Verlag f. Architektur u. techn Wissenschaften, Berlin
45. D. Resendiz-Carrillo, and L.B. Lave Optimizing spillway capacity with an estimated distribution of floods Water Resources Research 23 11 1987 2043 2049
46. W.D. Rowe Understanding uncertainty Risk Analysis 14 1994 743 750
47. S.O. Russel Flood probability estimation Journal of the Hydraulics Division, ASCE 108 HY1 1982 63 73
48. J.R. Stedinger, R.M. Vogel, and E. Foufoula-Georgiou Frequency analysis of extreme events D.R. Maidment Handbook of Hydrology 1992 McGraw-Hill New York 18.1 18.66
49. W.H. Tang Bayesian frequency analysis Journal of the Hydraulics Division, ASCE 106 HY7 1980 1203 1218
50. Tang, W.H., Yen, B.C., 1972. Hydrologic and hydraulic design under uncertainty. In: Proceedings of the International Symposium of Uncertainties in Hydrologic and Water Resources Systems, 11-14 December 1972, Tuscon, Arizona, vol. 2, pp. 868-882.
51. Y.-K. Tung Confidence intervals of optimal risk-based hydraulic parameters B.C. Yen Y.K. Tung Relieability and Uncertainty Analysis in Hydraulic Design: A Report Prepared by the Subcommittee on Uncertainty and Reliability Analysis in Design of Hydraulic Structures of the Technical Committee on Probabilistic Approaches to Hydraulics 1993 ASCE New York 81 96
52. Y.-K. Tung, and L.W. Mays Risk models for flood levee design Water Resources Research 17 4 1981 833 841
53. Y.-K. Tung, and L.W. Mays Optimal risk-based design of flood levee systems Water Resources Research 17 4 1981 843 852
54. USACE (U.S. Army Corps of Engineers), 1992. Guidelines for risk and uncertainty analysis in water resources planning. Institute for Water Resources, IWR Report 92-R-1, Fort Belvoir, VA, 62 p.
55. M.B.A. van Asselt, and J. Rotmans Uncertainty in integrated assessment modelling Climatic Change 54 1 2002 75 105
56. R.L. Winkler Uncertainty in probabilistic risk assessment Reliability Engineering and Systems Safety 54 1996 127 132
57. E.F. Wood An analysis of flood levee reliability Water Resources Research 13 3 1977 665 671
58. E.F. Wood, and I. Rodriguez-Iturbe A Bayesian approach to analysing uncertainty among flood frequency models Water Resources Research 11 6 1975 839 843
59. WRC (US Water Resources Council) Guidelines for determining flood-flow frequency. Bull. 17B 1981 Hydrol. Comm. Washington, DC
60. B.C. Yen, and Y.K. Tung Some recent progress in reliability analysis for hydraulic design B.C. Yen Y.K. Tung Reliability and Uncertainty Analysis in Hydraulic Design: A Report Prepared by the Subcommittee on Uncertainty and Reliability Analysis in Design of Hydraulic Structures of the Technical Committee on Probabilistic Approaches to Hydraulics 1993 ASCE New York 35 79
61. E. Zio, and G.E. Apostolakis Two methods for the structured assessment of model uncertainty by experts in performance assessments of radioactive waste repositories Reliability Engineering and System Safety 54 1996 225 241