TECHNICAL PAPERS
Sep 1, 1989

Cluster Analysis as Applied to Regional Flood Frequency

Publication: Journal of Water Resources Planning and Management
Volume 115, Issue 5

Abstract

A statistical technique for delineating groups of stations to be considered a region for regional flood frequency analysis is presented. The technique, which utilizes cluster analysis, allows the inclusion of a diversity of factors which might be considered to be of relevance when seeking stations in differing basins having similar extreme flow characteristics. The method incorporates both a basin similarity measure, imbedded in the clustering algorithm, and a regional homogeneity measure used to evaluate station partitionings obtained from the clustering algorithm. The result is that groups of stations are identified that can be considered sufficiently homogeneous to effect an efficient spatial data transfer. An application of the methodology to rivers in southern Manitoba, Canada, is presented to illustrate pertinent aspects of the procedure.

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References

1.
Anderberg, M. R. (1973). Cluster analysis for applications. Academic Press, New York, N.Y.
2.
Burn, D. H. (1988). “Delineation of groups for regional flood frequency analysis.” J. Hydrol., 104(3/4), 345–361.
3.
Galeatti, G., et al. (1986). “Optimization of a snow network by multivariate statistical analysis.” Hydrol. Sci. J., 31(1), 93–108.
4.
Hartigan, J. A. (1975). Clustering algorithms. John Wiley and Sons, New York, N.Y.
5.
Hosking, J. R., Wallis, J. R., and Wood, E. F. (1985a). “An appraisal of the regional flood frequency procedure in the UK flood studies report.” Hydrol. Sci. J., 30(1), 85–109.
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Hosking, J. R., Wallis, J. R., and Wood, E. F. (1985b). “Estimation of the generalized extreme‐value distribution by the method of probability‐weighted moments.” Techometrics, 27(3), 251–261.
7.
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.
8.
Snedecor, G. W., and Cochran, W. G. (1980). Statistical methods. Iowa State University Press, Ames, Iowa.
9.
Wiltshire, S. E. (1985). “Grouping basins for regional flood frequency analysis.” Hydrol. Sci. J., 30(1), 151–159.
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Wiltshire, S. E. (1986a). “Regional flood frequency analysis I: Homogeneity statistics.” Hydrol. Sci. J., 31(3), 321–333.
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Wiltshire, S. E. (1986b). “Regional flood frequency analysis II: Multivariate classification of drainage basins in Britain.” Hydrol. Sci. J., 31(3), 335–346.

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Go to Journal of Water Resources Planning and Management
Journal of Water Resources Planning and Management
Volume 115Issue 5September 1989
Pages: 567 - 582

History

Published online: Sep 1, 1989
Published in print: Sep 1989

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Authors

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Donald H. Burn
Asst. Prof., Dept. of Civ. Engrg., Univ. of Manitoba, Winnipeg, Manitoba, Canada R3T 2N2

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