L 및 LH-모멘트법과 지역빈도분석에 의한 가뭄우량의 추정(I) - L-모멘트법을 중심으로 -

Estimation of Drought Rainfall by Regional Frequency Analysis using L and LH-Moments(I) - On the Method of L-Moments -

  • 발행 : 2003.09.01

초록

This study is mainly conducted to derive the design drought rainfall by the consecutive duration using probability weighted moments with rainfall in the regional drought frequency analysis. It is anticipated to suggest optimal design drought rainfall of hydraulic structures for the water requirement and drought frequency of occurrence for the safety of water utilization through this study. Preferentially, this study was conducted to derive the optimal regionalization of the precipitation data that can be classified by the climatologically and geographically homogeneous regions all over the regions except Cheju and Ulreung islands in Korea. Five homogeneous regions in view of topographical and climatological aspects were accomplished by K-means clustering method. Using the L-moment ratio diagram and Kolmogorov-Smirnov test, generalized extreme value distribution was confirmed as the best fitting one among applied distributions. At-site and regional parameters of the generalized extreme value distribution were estimated by the method of L-moments. Design drought rainfalls using L-moments following the consecutive duration were derived by the at-site and regional analysis using the observed and simulated data resulted from Monte Carlo techniques. Relative root-mean-square error (RRMSE), relative bias (RBIAS) and relative reduction (RR) in RRMSE for the design drought rainfall derived by at-site and regional analysis in the observed an simulated data were computed and compared. In has shown that the regional frequency analysis procedure can substantially more reduce the RRMSE. RBIAS and RR in RRMSE than those of at-site analysis in the prediction of design drought rainfall. Consequently, optimal design drought rainfalls following the regions and consecutive durations were derived by the regional frequency analysis.

키워드

참고문헌

  1. Water Resources Bulletin v.32 no.1 Regional of Low-Flow Frequency Estimates: an Alabama Case Study Durrans,S.R.;S.Tomic
  2. Water Resources Research v.15 no.5 Probability Weighted Moments : Definition and Relation to Parameters of Several Distributions Expressed in Inverse Form Greenwood,J.A.;J.M.Landwehr;N.C.Matalas;J.R.Wallis https://doi.org/10.1029/WR015i005p01049
  3. Journal of the Royal Statistical Society Series B v.52 no.2 L-moments : Analysis and Estimation of Distributions using Linear Combination of Order Statistics Hosking,J.R.M.
  4. Water Resources Research v.29 no.2 Some Statistics useful in Regional Frequency Analysis Hosking,J.R.M.;J.R.Wallis https://doi.org/10.1029/92WR01980
  5. Regional Frequency Analysis Hosking,J.R.M.;J.R.Wallis
  6. Journal of the Korean Society of Agricultural Engineers v.43 no.4 Estimation of Design Rainfall by the Regional Frequency Analysis using Higher Probability Weighted Moments and GIS Techniques(Ⅰ) Lee,S.H.;J.H.Park;K.S.Ryoo;H.K.Jee;T.K.Jeon;Y.H.Shin
  7. Journal of the Korean Society of Agricultural Engineers v.43 no.5 Estimation of Design Rainfall by the Regional Frequency Analysis using Higher Probability Weighted Moments and GIS Techniques(Ⅱ) Lee,S.H.;J.H.Park;K.S.Ryoo;H.K.Jee;T.K.Jeon;Y.H.Shin
  8. Drought Record Investigation Report Ministry of Construction and Transportation
  9. Journal of Hydraulic Engineering v.121 no.11 Regional Frequency Analysis of Extreme Precipitation in Louisiana Naghavi,B.;F.X.Yu https://doi.org/10.1061/(ASCE)0733-9429(1995)121:11(819)
  10. Water Resources Research v.26 no.1 Regional Analysis of Precipitation Annual Maxima in Washington State Schaefer,M.G. https://doi.org/10.1029/WR026i001p00119
  11. SYSTAT 8.0 Statistics SYSTAT
  12. Journal of Korean Association of Hydrological Sciences v.20 no.1 A study on the Statistical Analysis of Low Flows for Impounding Reservoir Design Yoon,Y.N.