DOI QR코드

DOI QR Code

3변수 및 4변수 Kappa 분포에 의한 설계홍수량 추정

Estimation of Design Floods Using 3 and 4 Parameter Kappa Distributions

  • 맹승진 (충북대학교 농업생명환경대학 지역건설공학과) ;
  • 김병준 ((주)동흥산업개발) ;
  • 김형산 (충북대학교 농업생명환경대학 지역건설공학과)
  • 발행 : 2009.07.31

초록

This paper is to induce design floods through L-moment with 3 and 4 parameter Kappa distributions including test of independence by Wald-Wolfowitz, homogeneity by Mann-Whitney and outlier by Grubbs-Beck on annual maximum flood flows at 9 water level gaging stations in Han, Nakdong and Geum Rivers of South Korea. After analyzing appropriateness of the data of annual maximum flood flows by Kolmogorov-Smirnov test, 3 and 4 Kappa distributions were applied and the appropriateness was judged. The parameters of 3 and 4 Kappa distributions were estimated by L-moment method and the design floods by water level gaging station was calculated. Through the comparative analysis using the relative root mean square errors (RRMSE) and relative absolute errors (RAE) calculated by 3 and 4 parameter Kappa distributions with 4 plotting position formulas, the result showed that the design floods by 4 parameter Kappa distribution with Weibull and Cunnane plotting position formulas are closer to the observed data than those obtained by 3 parameter Kappa distribution with 4 plotting position formulas and 4 parameter Kappa distribution with Hazen and Gringorten plotting position formulas.

키워드

참고문헌

  1. Bobee, B. and F. Ashkar, 1991. The Gamma Family and Derived Distributions Applied in Hydrology, Water Resources Publications
  2. Hosking, J. R. M., 1986. The Theory of Probability Weighted Moments. 3-16. RC12210. IBM Research Center: Yorktown Heights
  3. 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
  4. 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
  5. Hosking, J. R. M., 1996. Fortran Routines for Use with the Method of L-moments. 1-43. RC2025. IBM Research Center: Yorktown Heights
  6. Hosking, J. R. M., and J. R. Wallis, 1997. Regional Frequency Analysis. Cambridge CB2 1RP, United Kingdom: Cambridge University Press
  7. 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
  8. Maeng, S. J., S. H. Lee, H. G. Lee, K. S. Ryoo and G. H. Song, 2006. Flood Frequency Analysis by Wakeby and Kappa Distributions Using L-Moments. Journal of the Korean Society of Agricultural Engineers 48(5): 17-27. (in Korean) https://doi.org/10.5389/KSAE.2006.48.5.017
  9. Ministry of Construction and Transportation (MOCT), 2007. Water Management Information System (WAMIS), http://www.wamis.go.kr
  10. Oh U. S., 2001. Estimation of Population for Kappa Distribution Applied Rainfall distribution. Master Degree Paper in Chonnam National University
  11. Song, K. H., 2009. Characteristic of Design Flood Flow Using L-Moment According to Gradual Composition of Annual Maximum Flood Flows. Doctor Degree Paper in Chungbuk National University
  12. 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. Uncertainty of Water Supply in Agricultural Reservoirs Considering the Climate Change vol.56, pp.2, 2014, https://doi.org/10.5389/KSAE.2014.56.2.011