Hostname: page-component-77c89778f8-sh8wx Total loading time: 0 Render date: 2024-07-19T23:19:40.922Z Has data issue: false hasContentIssue false

Flood frequency estimation in Scotland using index floods and regional growth curves

Published online by Cambridge University Press:  03 November 2011

M. C. Acreman
Affiliation:
Institute of Hydrology, Crowmarsh Gifford, Wallingford, Oxfordshire OX10 8BB, U.K.
A. Werritty
Affiliation:
Department of Geography, University of St Andrews, St Andrews, Fife KY16 9AL, Scotland, U.K.

Abstract

The index flood/regional growth curve method is the most commonly used procedure for estimating a design flood at an ungauged site in the United Kingdom when only the instantaneous peak discharge is required. This paper summarises recent work in Scotland in which the authors have refined the equations for estimating the index flood from the physical characteristics of the drainage basin and have proposed new methods for classifying basins to increase the hydrological homogeneity of the regions on which the growth curves are based. A new algorithm for estimating regional growth curves is reported which allows for correlation between flood magnitude at different sites. Simulation experiments are described which highlight the consequences of the data failing to meet the assumptions of the models used.

Type
Rainfall-runoff modelling
Copyright
Copyright © Royal Society of Edinburgh 1987

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

Acreman, M. C. 1985. Predicting the mean annual flood from basin characteristics in Scotland. HYDROL SCI J 30, 1, 3749.CrossRefGoogle Scholar
Acreman, M. C. 1986. Estimating flood statistics from basin characteristics in Scotland. Unpublished Ph.D. thesis, University of St. Andrews.Google Scholar
Acreman, M. C. & Hosking, J. R. H. 1987. Regional flood frequency analysis in the presence of correlation; towards the use of a multivariate normal distribution. APPL HYDROL INFORMAL NOTE. Wallingford: Institute of Hydrology.Google Scholar
Acreman, M. C. & Sinclair, C. D. 1986. Classification of basins according to their physical characteristics; an application for flood frequency analysis in Scotland. J HYDROL 84, 365–80.CrossRefGoogle Scholar
Archer, D. R. 1980. A catchment approach to flood estimation PROC INST WATER ENG SCI 35, 275–89.Google Scholar
Beable, M. E. & McKerchar, A. I. 1982. Regional flood estimation in New Zealand. NAT WATER SOIL CONSERV ORGAN, WATER SOIL TEC PUBL 20.Google Scholar
Biswas, A. K. & Fleming, G. 1966. Floods in Scotland: Magnitude and Frequency. WATER & WATER ENG June, 246–52.Google Scholar
Boorman, D. B. 1986. A review of the Flood Studies Report rainfall-runoff model parameter estimation equations. INST HYDROL REP 94.Google Scholar
Carrigan, P. H. Jr., 1971. A flood frequency relation based on regional recorded maxima. US GEOL SURV PROF PAP 434–F.Google Scholar
Cole, G. 1966. An application of the regional analysis of flood flows. In River Flood Hydrology, pp. 3957. London: Institution of Civil Engineers.CrossRefGoogle Scholar
Conover, W. J. & Benson, M. A. 1963. Long term flood frequency based on extremes of short term records. US GEOL SURV PROF PAP 405–E.Google Scholar
Dalrymple, T. 1960. Flood frequency analysis. US GEOL SURV WATER SUPPL PAP 1543–A.Google Scholar
Draper, N. R. & Smith, H. 1966. Applied regression analysis. New York: Wiley.Google Scholar
Farquharson, F. A. K., Lowing, M. J. & Sutcliffe, J. V. 1975. Some aspects of design flood estimation. In Moffat, A. I. B. (ed.) Inspection, operation and improvement of existing dams. PROC BNCOLD SYMP UNIV NEWCASTLE.Google Scholar
Hoerl, A. E. 1962. Ridge regression: biased estimation for nonorthogonal problems. TECHNOMETRICS 12, 5668.Google Scholar
Institute of Hydrology 1980. Low Flows Study Report. Wallingford: Institute of Hydrology.Google Scholar
Kendall, M. G. & Stuart, A. 1975. The advanced theory of statistics. 2nd edn. London: Griffin.Google Scholar
Kite, G. W. 1977. Frequency and risk analysis in hydrology. WATER RESOUR PUBL Fort Collins, Colorado.Google Scholar
Lettenmaier, D. P., Wallis, J. R. & Wood, E. F. 1987. Effect of regional heterogeneity on flood frequency estimation. WATER RESOUR RES 23, 313–23.CrossRefGoogle Scholar
Nash, J. E. & Shaw, B. L. 1966. Flood frequency as a function of catchment characteristics. In River Flood Hydrology, pp. 115–36. London: Institution of Civil Engineers.CrossRefGoogle Scholar
Natural Environment Research Council (NERC) 1975. Flood Studies Report. London: Natural Environment Research Council.Google Scholar
Newson, M. D. 1976. Map work for Flood Studies, Part II: Analysis of indices and remapping. INST HYDROL REP 25.Google Scholar
Price, M. 1979. Floods in Georgia, Magnitude and frequency. US GEOL SURV WATER RESOUR INVEST 78–137.Google Scholar
Ranee, J. 1984. The effect of forest on flood flows in Britain. Unpublished M.Sc. Dissertation, University of Newcastle-upon-Tyne.Google Scholar
Rossi, F., Fiorentino, M. & Versace, P. 1984. Two component extreme value distribution for flood frequency analysis. WATER RESOUR RES 20, 847–56.CrossRefGoogle Scholar
Stedinger, J. R. 1983. Estimating a regional flood frequency distribution. WATER RESOUR RES 19, 503–10.CrossRefGoogle Scholar
Stein, C. 1955. Inadmissibility of the usual estimator for the mean of a multivariate normal distribution. In PROC 3RD BERKLEY SYMP, vol. 1, 197206.Google Scholar
Stevens, M. J. & Lynn, P. P. 1978. Regional growth curves. INST HYDROL REP 52.Google Scholar
Wallis, J. R. 1982. Hydrological problems associated with oilshale development. In Rinaldi, S.Environmental Systems Analysis and Management, pp. 85102. Amsterdam: North-Holland.Google Scholar
Wiltshire, S. E. 1985. Grouping basins for regional flood frequency analysis. HYDROL SCI J 30, 151–59.CrossRefGoogle Scholar
Wiltshire, S. E. 1986a. Regional flood frequency analysis, I: Homogeneity statistics. HYDROL SCI J 31, 321–33.CrossRefGoogle Scholar
Wiltshire, S. E. 1986b. Regional flood frequency analysis, II: Multivariate classification of drainage basins in Britain. HYDROL SCI J 31, 335–46.CrossRefGoogle Scholar
Wishart, D. 1978. Clustan Users Manual, 3rd edn. REP 47, PROG LIBR UNIT EDINBURGH UNIV.Google Scholar
Wolfe, J. H. 1970. Pattern clustering by multivariate mixture analysis. MULTIVAR BEHAV RES 5, 329–50.CrossRefGoogle ScholarPubMed