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Estimation of Flood Frequencies by a Nonparametric Density Procedure

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Hydrologic Frequency Modeling

Abstract

Annual flood risk is usually estimated by fitting an a priori assumed probability distribution funetion to the observed annual extremepeak series (parametrie method). The main shorteomings of such a proeedure are: the seleetion of a distribution, reliability of parameters (espeeially for skewed data with short record length), inability to analyze multimodal distributions resulting from flooding due to snowmelt versus thunderstorm aetivity, and treatment of outliers.

A new methodology has been developed based on the nonparametrie eoneepts for estimation of probabillty density funetion. The nonparametrie method overeomes some of the limitations inherent in the parametrie method, and is developed based on a few and very mild assumptions.

Based on the numerieal results using real data and Monte Carlo simulation, it was found that the nonparametrie flood estimates are accurate and suitable for multimodal denslties.

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References

  • Adamowski, K. (1985) “Nonparametric Kernel Estimation of Flood Frequencies”, Water Resour. Res 21(11), 1885–1590.

    Article  Google Scholar 

  • Condie, R., G.A. Nix and L.G Boone (1981) Flood Damage Program Flood Frequency Analysis, Engineeing Hydrology Section, Enviroment Canada, (Updated 1985, Unpublished).

    Google Scholar 

  • Devroye, L. and L. Gyorfi (1985) Nonparametric Density Estimation: The L1 View, J. Wiley and Sons, 356 pages.

    Google Scholar 

  • Epanechnikov, V.A. (1969) “Nonparametric estimation of a multivari probability density”, Theory of Probability and its Application, 14, 153–158

    Article  Google Scholar 

  • Flanagan, P. (1980) Computer Programs for Kernel Estimates of a Probabilty Density Function, M.S. Thesis, University of South Carolina.

    Google Scholar 

  • Hall, M.J (1984) Urban Hydrology, Elsevier Applied Science Publishers, London, 299 pages.

    Google Scholar 

  • Houghton, J.C. (1978) “Birth of a Partent: The Wakeby Distribution for Modeling Flood Flows”, Water Resour. Res. 14 (6), 1105–9

    Article  Google Scholar 

  • Labatiuk, C. (1985) A Nonparametric Approach to Flood Frequency Analysis, M.A.Sc. Thesis, Univeristy of Ottawa, 184 pages.

    Google Scholar 

  • Rossi, F., M. Fiorentino and P. Versace (1984) “Two-Component Extreme Value Distribution For Flood Frequency Analysis”, Water Resour. Res. 20 (7) 847–56.

    Article  Google Scholar 

  • Singh, K.P and M. Nakashima (1983) A New Methodology for Flood Frequency Analysis with Objective Detection and Modification of Outliers/Inliers, Frontiers in Hydrology, Water Resources Publications, Littleton, Corlorado, p.187–201

    Google Scholar 

  • Thomas, W.O. Jr., (1985) “A Uniform Technique for Flood Frequency Analysis” A.S.C.E, Journal of Water Resources Planning and Management, Vol. III, No. 3, p.321–337.

    Article  Google Scholar 

  • U.S. Geological Survey’s Interagency Adisory committee on Water Data (1982), Guidelines for Determining Flood Flow Frequency, Bull. 17B.

    Google Scholar 

  • Wallis, J.R., and E.F. Wood (1985) “Relative Accuracy of Log Pearson” III No. 7, p.1043–10556

    Google Scholar 

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© 1987 D. Reidel Publishing Company

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Adamowski, K., Labatiuk, C. (1987). Estimation of Flood Frequencies by a Nonparametric Density Procedure. In: Singh, V.P. (eds) Hydrologic Frequency Modeling. Springer, Dordrecht. https://doi.org/10.1007/978-94-009-3953-0_5

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  • DOI: https://doi.org/10.1007/978-94-009-3953-0_5

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-94-010-8253-2

  • Online ISBN: 978-94-009-3953-0

  • eBook Packages: Springer Book Archive

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