Multivariate Modeling of Flood Flows
Publication: Journal of Hydraulic Engineering
Volume 124, Issue 2
Abstract
A systematic methodology for multivariate modeling of flood flows based on the partial duration series approach and bivariate normal distribution has been developed. The methodology provides univariate and bivariate modeling of flood characteristics and offers various possibilities of probability interpretation, which is not possible by conventional flood frequency methods. The two-step power transformation method has been used for normalization of the variables, required for the application of bivariate normal distribution. The application and validation of the methodology have been made by using daily flows of the Narmada River in Garudeshwar (India) and synthetically generated data.
Get full access to this article
View all available purchase options and get full access to this article.
References
1.
Ashkar, F., and Rousselle, J. (1982). “A multivariate statistical analysis of flood magnitude, duration and volume.”Statistical analysis of rainfall and runoff, V. P. Singh, ed., Water Resources Publication, Fort Collins, Colo., 651–669.
2.
Box, G. E. P., and Cox, D. R.(1964). “An analysis of transformation.”J. Royal Statistical Soc., 26, 211–252.
3.
Correia, F. N. (1987). “Multivariate partial duration series in flood risk analysis.”Hydrologic frequency modelling, V. P. Singh, ed., Reidel, Dordrecht, The Netherlands, 541–554.
4.
Cunnane, C. (1987). “Review of statistical model for flood frequency estimation.”Hydrologic frequency modelling, V. P. Singh, ed., Reidel, Dordrecht, The Netherlands, 49–95.
5.
Goel, N. K. (1990). “Modelling for flood flows,” PhD thesis, Univ. of Roorke, Roorke, India.
6.
Gupta, D. K., Asthana, B. N., and Bhargava, A. N.(1989). “Flood frequency analysis by two step power transformation.”J. Instn. of Engrs., India, 70, 127–131.
7.
Gupta, V. K., Duckstein, L., and Peebles, R. W. (1976). “On the joint distribution of the largest flood and its time of occurrence.”Water Resour. Res. 12(2), 295–304.
8.
John, J. A., and Draper, N. R.(1980). “Alternative family of transformations.”J. Appl. Statistics, 29, 190–197.
9.
Kavvas, M. L.(1982). “Stochastic trigger model for flood peaks: 1. Development of the model.”Water Resour. Res., 18(2), 383–398.
10.
Kavvas, M. L., Cervantes, J. E., and Delleur, J. W.(1983). “A cluster model for flood analysis,”Water Resour. Res., 19(1), 209–224.
11.
Krstanovic, P. F., and Singh, V. P. (1987). “A multivariate stochastic flood analysis using entropy.”Hydrologic frequency modelling, V. P. Singh, ed., Reidel, Dordrecht, The Netherlands, 515–539.
12.
Sackl, B., and Bergmann, H. (1987). “A bivariate flood model and its application.”Hydrologic frequency modelling, V. P. Singh, ed., Reidel, Dordrecht, The Netherlands, 571–582.
13.
Singh, V. P., and Krstanovic, P. F. (1986). “A multivariate stochastic flood analysis using entropy.”Completion Rep., Louisiana Water Resour. Res. Inst., Louisiana State Univ., Baton Rouge, La.
14.
Todorovic, P. (1971). “On extreme problems in hydrology.”Paper Presented at Joint Statistics Meeting, Am. Statistics Assn. and Inst. of Math. Statistics, Colorado State Univ., Fort Collins, Colo.
15.
Todorovic, P.(1978). “Stochastic models of floods.”Water Resour. Res., 14(2), 345–356.
16.
Todorovic, P., and Woolhiser, D. A.(1972). “On the time when the extreme flood occurs.”Water Resour. Res., 8(6), 1433–1438.
17.
Todorovic, P., and Zelenhasic, E.(1970). “A stochastic model for flood analysis.”Water Resour. Res., 6(6), 1641–1648.
18.
Weiss, G.(1977). “Shot noise model for the generation of synthetic streamflow data.”Water Resour. Res., 13(1), 101–108.
19.
Yevjevich, V. (1972). “Probability and statistics in hydrology.”Water Resour. Publ., Fort Collins, Colo.
20.
Zelenhasic, E. (1970). “Theoretical probability distributions for flood peaks.”Hydro. Paper No. 42, Colorado State Univ., Fort Collins, Colo.
Information & Authors
Information
Published In
Journal of Hydraulic Engineering
Volume 124 • Issue 2 • February 1998
Pages: 146 - 155
Copyright
Copyright © 1998 American Society of Civil Engineers.
History
Published online: Feb 1, 1998
Published in print: Feb 1998
Authors
Metrics & Citations
Metrics
Citations
Download citation
If you have the appropriate software installed, you can download article citation data to the citation manager of your choice. Simply select your manager software from the list below and click Download.