Regional Flood Frequency with Hierarchical Region of Influence
Publication: Journal of Water Resources Planning and Management
Volume 122, Issue 4
Abstract
Regional flood frequency analysis involves combining extreme-flow information from numerous stations to enhance the reliablity of the temporal characterization of extreme-flow data at sites with short periods of record. The region of influence (ROI) approach used herein, defines regions such that each site has a potentially unique combination of stations. The similarity of the selected stations is ensured by incorporating a homogeneity test into the regionalization process. A hierarchical feature is added to the ROI approach to further enhance the efficiency of the spatial information transfer. This is done by taking advantage of the different spatial similarity scales that have been observed for different orders of moments for a flood frequency distribution. The incorporation of this concept into the ROI framework results in a set of ROIs for a site as opposed to a single ROI. The hierarchical ROI approach is evaluated through the use of a Monte Carlo experiment applied to data representative of a collection of unregulated catchments in the midwest portion of Canada. The simulation experiment shows that an improvement in flood quantile estimation is achieved.
Get full access to this article
View all available purchase options and get full access to this article.
References
1.
Acreman, M. C. (1987). “Regional flood frequency analysis in the UK: Recent research—new ideas.”Rep., Inst. of Hydro., Wallingford, U.K.
2.
Acreman, M. C., and Wiltshire, S. E. (1987). “Identification of regions for regional flood frequency analysis.” EOS, 68(44), 1262 (Abstract).
3.
Bayliss, A. C., and Jones, R. C. (1993). “Peaks-over-threshold flood database: Summary statistics and seasonality.”IH Rep. No. 121, Inst. of Hydro., Wallingford, U.K.
4.
Burn, D. H. (1990a). “An appraisal of the `region of influence' approach to flood frequency analysis.”Hydrological Sci. J., 35(2), 149– 165.
5.
Burn, D. H.(1990b). “Evaluation of regional flood frequency analysis with a region of influence approach.”Water Resour. Res., 26(10), 2257–2265.
6.
Chowdhury, J. U., Stedinger, J. R., and Lu, L. H.(1991). “Goodness of fit test for regional generalized extreme value flood distributions.”Water Resour. Res., 27(7), 1765–1776.
7.
Fill, H., and Stedinger, J. R.(1995a). “L-Moment and PPCC goodness-of-fit tests for the Gumbel distribution and effect of autocorrelation.”Water Resour. Res., 31(1), 225–229.
8.
Fill, H., and Stedinger, J. R.(1995b). “Homogeneity test based upon Gumbel distribution and a critical appraisal of Dalrymples's test.”J. Hydro., 166, 81–105.
9.
Gabriele, S., and Arnell, N.(1991). “A hierarchical approach to regional flood analysis.”Water Resour. Res., 27(6), 1281–1289.
10.
Guetzhow, L. C. (1977). “Techniques for estimating magnitude and frequency of floods in Minnesota.”Water Resour. Investigations 77-31, U.S. Geological Survey, Washington, D.C.
11.
Hosking, J. R. M. (1986). “The theory of probability weighted moments.”IBM Res. Rep. RC12210, IBM, Yorktown Heights, N.Y.
12.
Hosking, J. R. M.(1990). “L-moments: Analysis and estimation of distributions using linear combinations of order statistics.”J. Royal Statistical Soc., Series B, 52(1), 105–124.
13.
Hosking, J. R. M. (1991). “Fortran routines for use with the method of L-moments, Version-2.”IBM Res. Rep. RC17097, IBM, Yorktown Heights, N.Y.
14.
Hosking, J. R. M., and Wallis, J. R.(1993). “Some statistics useful in regional flood frequency analysis.”Water Resour. Res., 29(2), 271–281.
15.
Hosking, J. R. M., Wallis, J. R., and Wood, E. F. (1985a). “An appraisal of the regional flood frequency procedure in the UK `Flood Studies Report.”' Hydrological Sci. J., 30(1), 85–109.
16.
Hosking, J. R. M., Wallis, J. R., and Wood, E. F.(1985b). “Estimation of the generalized extreme value distribution by the method of probability-weighted moments.”Technometrics, 27(3), 251–261.
17.
Jin, M., and Stedinger, J. R.(1989). “Flood frequency analysis with regional and historical information.”Water Resour. Res., 25(5), 925–936.
18.
Landwehr, J. M., Matalas, N. C., and Wallis, J. R. (1979). “Estimation of parameters and quantiles of Wakeby distributions.”Water Resour. Res., 15(6), 1361–1379, 1672.
19.
Lettenmaier, D. P., Wallis, J. R., and Wood, E. F.(1987). “Effect of regional heterogeneity on flood frequency estimation.”Water Resour. Res., 23(2), 313–323.
20.
Lu, L. H., and Stedinger, J. R.(1992). “Sampling variance of normalized GEV/PWM quantile estimators and a regional homogeneity test.”J. Hydro., 138, 223–245.
21.
Mardia, K. V. (1972). Statistics of Directional Data, Academic Press, New York, N.Y.
22.
Ribeiro-Correa, J., and Rousselle, J.(1993). “A hierarchical and empirical Bayes approach for the regional Pearson type III distribution.”Water Resour. Res., 21(9), 1421–1432.
23.
Stedinger, J. R., and Lu, L.(1995). “Appraisal of regional and index flood quantile estimators.”Stochastic Hydro. and Hydr., 9(1), 49–75.
24.
Stedinger, J. R., Vogel, R. M., and Foufoula-Georgiou, E. (1993). “Chapter 18: Frequency analysis of extreme events.”Handbook of Hydrology, D. Maidment, McGraw-Hill Inc., New York, N.Y.
25.
Tasker, G. D.(1982). “Comparing methods of hydrologic regionalization.”Water Resour. Bull., 18(6), 965–970.
26.
Vogel, R. M., and Kroll, C. N.(1989). “Low-frequency analysis using probability-plot correlation coefficients.”J. Water Resour. Plng. and Mgmt., ASCE, 115(3), 338–357.
27.
Wandle, S. W. (1977). “Estimating the magnitude and frequency of flood on natural streams in Massachusetts.”Water Resources Investigations 77-39, U.S. Geological Survey, Washington, D.C.
28.
Wiltshire, S. E.(1985). “Grouping basins for regional flood frequency analysis.”Hydrological Sci. J., 30(1), 151–159.
29.
Wiltshire, S. E.(1986a). “Regional flood frequency analysis I: Homogeneity statistics.”Hydrological Sci. J., 31(3), 321–333.
30.
Wiltshire, S. E. (1986b). Identification of homogeneous regions for flood frequency analysis, J. Hydro., 84, 287–302.
31.
Zrinji, Z., and Burn, D. H. (1993). “Hydrologic regionalization using a homogeneity test.”Engineering Hydrology, C. Y. Kuo, ed., ASCE, New York, N.Y., 641–646.
32.
Zrinji, Z., and Burn, D. H.(1994). “Flood frequency analysis for ungauged sites using a region of influence approach.”J. Hydrol., 153, 1–21.
Information & Authors
Information
Published In
Journal of Water Resources Planning and Management
Volume 122 • Issue 4 • July 1996
Pages: 245 - 252
Copyright
Copyright © 1996 American Society of Civil Engineers.
History
Published online: Jul 1, 1996
Published in print: Jul 1996
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.