Magazine of the Korean Society of Agricultural Engineers (한국농공학회지)

The Korean Society of Agricultural Engineers (한국농공학회)
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Derivation of Optimal Design Flood by Gamma and Generalized Gamma Distribution Models(II) -On the Generalized Gamma Distribution Model-

Gamma 및 Generalized Gamma 분포 모형에 의한 적정 설계홍수량의 유도(II) -Generalized Gamma 분포모형을 중심으로-

  • Published : 1998.04.01
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Abstract

This study was conducted to derive optimal design floods by generalized gamma distribution model of the annual maximum series at eight watersheds along Geum, Yeongsan and Seomjin river systems. Design floods obtained by different methods for evaluation of parameters and for plotting positions in the generalized gamma distribution model were compared by the relative mean errors and graphical fit along with 95% confidence limits plotted on gamma probability paper. The results were analyzed and summarized as follows. 1. Basic statistics and parameters were calculated by the generalized gamma distribution model using different methods for parameters. 2. Design floods according to the return periods were obtained by different methods for evaluation of parameters and for plotting positions in the generalized gamma distribution model. 3. It was found that design floods derived by sundry averages method for parameters and Cunnane method for plotting position in the generalized gamma distribution are much closer to those of the observed data in comparison with those obtained by the other methods for parameters and for plotting positions from the viewpoint of relative mean errors. 4. Reliability of design floods derived by sundry averages method in the generalized gamma distribution was acknowledged within 95% confidence interval.

Keywords

References

  1. The Lognormal Distribution Aitchison,J;J.A.C.Brown
  2. Technical Report, University of Texas at Austin Flood Flow Frequency Techniques Beard,L.R.
  3. Probability, Statistics and Decision for Civil Engineers Benjamin,J.R.;C.A.Cornell
  4. The Gamma Family and Derived Distributions applied in Hydrology Bobee,B.;F.Ashkar
  5. 1996년 7월 임진강 유역 대홍수 한국건설기술연구원
  6. Flood Flows, A Study of Frequencies and Magnitudes Hazen,A.
  7. Trans. Ame. Geophysics Union v.21 Probability Interpretation of the observed Return Period of Flood Gumbel,E.J.
  8. Frequency and Risk Analysis in Hydrology Kite,G.W.
  9. 한국수문조사서(우량,수위편) 건설부
  10. 한국수문조사년보 건설부
  11. 한국수문조사년보 건설부
  12. 홍수수문자료집 건설부
  13. 한국하천조사서 건설부
  14. 한국의 홍수 건설부
  15. 홍수량측정조사보고서 건설부
  16. 한국농공학회지 v.25 no.3 적정홍수빈도와 위험도분석에 관한 연구 이순혁;박명근
  17. 한국농공학회지 v.27 no.2 수리구조물의 파괴위험도와 설계홍수량에 관한 수문학적 연구(Ⅰ) 이순혁;박명근
  18. 한국농공학회지 v.28 no.3 수리구조물의 파괴위험도와 설계홍수량에 관한 수문학적 연구(Ⅱ) 이순혁;박명근
  19. 한국농공학회지 v.30 no.4 Low Outliers를 고려한 홍수빈도분석에 관한 연구 이순혁;홍성표;박명근
  20. 응용수문학 이순혁(외)
  21. 한국농공학회지 v.39 no.3 Gamma 및 Generalized Gamma 분포 모형에 의한 적정 설계홍수량의 유도(Ⅰ) 이순혁(외)
  22. Final Report fo Penn. Dot, The Civil Engineering Dept., The Pennsylvania State University Flood Prediction Methods for Pennsylvania Highway Crossings Reich,B.M.;D.J.Jackson
  23. Journal of Hydrology v.136 Comparison of Various Flood Frequency Distrbutions using Annual Flood Peaks Data of Rivers in Anatolia Tefaruk Haktanir
  24. Bill. 15 A Uniform Technique for Determining, Flood Flow Frequency U. S. Water Resources Council, Hydrology Committee
  25. Probability and Statistics in Hydrology Yevjevich,V.