TECHNICAL PAPERS
Sep 1, 1985

Application of Extreme Value Theory to Flood Damage

Publication: Journal of Water Resources Planning and Management
Volume 111, Issue 4

Abstract

Flood plain management requires assessment of the costs and benefits of all projects under consideration. The benefits translate mainly into flood damage reduction. This study presents a methodology for estimating flood damage prior to implementation of flood control structures. In this two‐stage, methodology, a hydroeconomic model for flood damage estimation is first developed, and a flood damage distribution function is then derived from the theory of extreme values in stochastic processes. The distribution function produces an estimation of actualized damages. The Richelieu River basin was selected for a numerical application because of its combined rural and urban characteristics and the fairly extensive sum of knowledge on the basin supplied by previous studies.

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References

1.
Brown, K. M., and Dennis, J. E., Jr. “Derivative Free Analogues of the Levenberg‐Marquardt and Gauss Algorithms for Non‐Linear Least Squares Approximation,” Numerical Methods, Vol. 18, 1972, pp. 289–297.
2.
Corps of Engineers HEC‐2, Water Surface Profiles, Training Document No. 4, The Hydrologic Engineering Center, U.S. Army, Calif., 1969, 31 pp.
3.
Corps of Engineers, HEC‐5, Simulation of Flood Control and Conservation Systems, User's Manual, The Hydrologic Engineering Center, U.S. Army, Calif., 1979, 211 pp.
4.
Centre de Recherche en Aménagement Régional (CRAR), “Evaluation des dommages causés par les inondations en 1976 à divers niveaux d'élévation des eaux de la rivière Richelieu et de la baie Mississiquoi,” Haut‐Richelieu, Québec, Univ. de Sherbrooke, 1977, 210 pp.
5.
Dantzig, D. V., “Economic Decision Problems for Flood Prevention,” Econometrica, Vol. 24, No. 3, 1956, pp. 276–287.
6.
Draper, N. R., and Smith, H., Applied Regression Analysis, John Wiley and Sons, New York, N.Y., 1966, 407 pp.
7.
El‐Jabi, N., Rousselle, J., Brière, F., and Leblanc, D., “Méthodologie d'estimation des dommages directs dans les plaines inondables,” Environnement Canada, 1980, 263 pp.
8.
Grigg, N. S., Botham, L. H., Rice, L., Shoemaker, W. J., and Tucker, L. S., “Urban Drainage and Flood Control Projects: Economic, Legal and Financial Aspects,” Colorado State University, Hydrology Paper, No. 85, 1976, 76 pp.
9.
Ouellette, P., Analyse des dommages d'inondation par la théorie des valeurs extrêmes, Mémoire de maîtrise, Ecole Poly technique de Montréal, 1982, 197 pp.
10.
Rousselle, J., On Some Problems of Flood Analysis, thesis presented to Colorado State University, in 1972, in partial fulfillment of the requirements for the degree of Doctor of Philosophy.
11.
Rousselle, J., and El‐Jabi, N., “Représentation stochastique des dommages dans les plaines inondables,” Revue canadienne de ǵenie civil, Vol. 4, No. 2, 1977, pp. 170–177.
12.
Todorovic, P., “On Some Problems Involving Random Number of Random Variables,” Annual Mathematics and Statistics, Vol. 41, No. 3, 1970, pp. 1059–1063.
13.
Zelenhasic, E., “Theoretical Probability Distributions for Flood Peaks,” Colorado State University, Hydrol. Paper, No. 42, 1970, 35 pp.

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Go to Journal of Water Resources Planning and Management
Journal of Water Resources Planning and Management
Volume 111Issue 4September 1985
Pages: 467 - 477

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Published online: Sep 1, 1985
Published in print: Sep 1985

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Authors

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Pierre Ouellette
Lect., Dept. of Economics, Univ. of Montreal, Montreal, Quebec, Canada H3C 3J7
Nassir El‐Jabi, M. ASCE
Assoc. Prof., Ecole de Genie, Univ. de Moncton, Moncton, N.B., Canada E1A 3E9
Jean Rousselle
Prof., Civ. Engrg. Dept., Ecole Polytechnique of Montreal, Montreal, Quebec, Canada H3C 3A7

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