한국농공학회논문집 (Journal of The Korean Society of Agricultural Engineers)

  • 제48권5호
  • /
  • Pages.17-27
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  • 2006
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  • 1738-3692(pISSN)
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  • 2093-7709(eISSN)
한국농공학회 (The Korean Society of Agricultural Engineers)
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Wakeby 및 Kappa 분포의 L-모멘트법에 의한 홍수빈도분석

Flood Frequency Analysis by Wakeby and Kappa Distributions Using L-Moments

  • 맹승진 (충북대학교 농업생명환경대학 지역건설공학과) ;
  • 이순혁 (충북대학교 농업생명환경대학 지역건설공학과) ;
  • 이현규 (충북대학교 농업생명환경대학 지역건설공학과) ;
  • 류경식 (한국수자원공사 수자원연구원) ;
  • 송기현 (한국농촌공사 충북본부)
  • 발행 : 2006.09.30
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초록

The objective of this study is to induce the design floods by the methodology of L-moment including test of homogeneity, independence and outlier of the data of annual maximum flood flows for 12 water level gaging stations of South Korea. To select appropriate distribution of the data for annual maximum flood flows, the distributions of Wakeby and Kappa are applied and the appropriateness is judged by Kolmogorov-smirnov (K-S) test. The parameters of selected Wakeby and Kappa distributions are calculated by the method of L-moment and the design floods are induced. Through the comparative analysis using the relative root mean square errors (RRMSE) and relative absolute errors (RAE) of design floods, the result shows that the design floods by Wakeby distribution are closer to the observed data than those obtained by the Kappa distribution.

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참고문헌

  1. Bobee, B. and F. Ashkar, 1991. The Gamma Family and Derived Distributions Applied in Hydrology, Water Resources Publications
  2. Greenwood J. A., J. M. Landwehr, N. C. Matalas, and J. R. Wallis, 1979. Probability Weighted Moments: Definition and Relation to Parameters of Several Distributions Expressed in Inverse Form. Water Resources Research 15 (5): 1049-1064
  3. Hosking J. R. M., J. R. Wallis, E. F. Wood. 1985. Estimation of the generalized extreme- value distribution by the method of probability-weighted moments. American Statistical Association and the American Society for Quality Control 27(3): 251-261
  4. Hosking J. R. M. 1986. The Theory of Probability Weighted Moments. 3-16. RC12210. IBM Research Center: Yorktown Heights
  5. Hosking. J. R. M. 1990. L -moments: Analysis and Estimation of Distributions using Linear Combination of Order Statistics. Journal of the Royal Statistical Society Series B 52(2): 105-124
  6. Hosking, J. R. M. and J. R. Wallis. 1993. Some Statistics useful in Regional Frequency Analysis. Water Resources Research 29 (2): 271-281 https://doi.org/10.1029/92WR01980
  7. Hosking J. R. M. 1994. The parameter Kappa distribution. IBM J. Res. Develop. 38 (3): 251-258 https://doi.org/10.1147/rd.383.0251
  8. Hosking J. R. M. 1996. Fortran Routines for Use with the Method of L-moments, 1 -43. RC2025. IBM Research Center: Yorktown Heights
  9. Hosking, J. R. M. and J. R. Wallis. 1997. Regional Frequency Analysis. Cambridge CB2 1RP, United Kingdom: Cambridge University Press
  10. Lee, S. H., K. H. Song, S. J. Maeng, K. S. Ryoo and H. K. Jee. 2000. Derivation of Design Floods by the Probability Weighted Moments in the Wakeby Distribution. Journal of the Korean Society of Agricultural Engineers 42(6): 63-71. (in Korean)
  11. Lee, S. H., J. H. Park, K. S. Rvoo, H. K. Jee, T. K. Jeon and Y. H. Shin. 2001b. Estimation of Design Rainfall by the Regional Frequency Analysis using Higher Probability Weighted Moments and GIS Techniques (II). Journal of the Korean Society of Agricultural Engineers 43 (5): 70-82. (in Korean)
  12. Lee S. H, S. J. Maeng. 2003. Frequency analysis of extreme rainfall using L-moment. Irrigation and Drainage 52 (3): 219-230 https://doi.org/10.1002/ird.90
  13. Maidment, D. R. 1993. Handbook of Hydrology: McGraw-Hill, Inc
  14. Ministry of Construction and Transportation (MOCT). 2000. Water Management Information System (WAMIS), http://www.wamis.go.kr
  15. Naghavi B. and F. X. Yu. 1995. Regional Frequency Analysis of Extreme Precipitation in Louisiana. Journal of Hydraulic Engineering 121(11): 819-827 https://doi.org/10.1061/(ASCE)0733-9429(1995)121:11(819)
  16. Oh U. S. 2001. Estimation of Population for Kappa Distribution Applied Rainfall distribution. Master Degree Paper in Chonnam National University
  17. Schaefer M. G. 1990. Regional Analysis of Precipitation Annual Maxima in Washington State. Water Resources Research 26 (1): 119-131 https://doi.org/10.1029/WR026i001p00119
  18. Vogel R. M., T. A. McMahon and F. H. S Chiew. 1993. Flood Flow Frequency Model Selection in Australia. Journal of Hydrology 146: 421-449 https://doi.org/10.1016/0022-1694(93)90288-K
  19. World Meteorological Organization. 1989. Statistical Distributions for Flood Frequency Analysis. Operational Hydrology Report No.33. Secretariat of the World Meteorological Organization: Geneva, Switzerland; A4.1-A4.14

피인용 문헌

  1. A Study on the Estimation of the Extreme Quantile of Probability Distribution According to Skewness Coefficient and Sample Size vol.18, pp.7, 2018, https://doi.org/10.9798/KOSHAM.2018.18.7.485