DOI QR코드

DOI QR Code

Estimation of Drought Rainfall by Regional Frequency Analysis Using L and LH-Moments (II) - On the method of LH-moments -

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

  • Published : 2004.01.01

Abstract

In the first part of this study, five homogeneous regions in view of topographical and geographically homogeneous aspects except Jeju and Ulreung islands in Korea were accomplished by K-means clustering method. A total of 57 rain gauges were used for the regional frequency analysis with minimum rainfall series for the consecutive durations. Generalized Extreme Value distribution was confirmed as an optimal one among applied distributions. Drought rainfalls following the return periods were estimated by at-site and regional frequency analysis using L-moments method. It was confirmed that the design drought rainfalls estimated by the regional frequency analysis were shown to be more appropriate than those by the at-site frequency analysis. In the second part of this study, LH-moment ratio diagram and the Kolmogorov-Smirnov test on the Gumbel (GUM), Generalized Extreme Value (GEV), Generalized Logistic (GLO) and Generalized Pareto (GPA) distributions were accomplished to get optimal probability distribution. Design drought rainfalls were estimated by both at-site and regional frequency analysis using LH-moments and GEV distribution, which was confirmed as an optimal one among applied distributions. Design rainfalls were estimated by at-site and regional frequency analysis using LH-moments, the observed and simulated data resulted from Monte Carlotechniques. Design drought rainfalls derived by regional frequency analysis using L1, L2, L3 and L4-moments (LH-moments) method have shown higher reliability than those of at-site frequency analysis in view of RRMSE (Relative Root-Mean-Square Error), RBIAS (Relative Bias) and RR (Relative Reduction) for the estimated design drought rainfalls. Relative efficiency were calculated for the judgment of relative merits and demerits for the design drought rainfalls derived by regional frequency analysis using L-moments and L1, L2, L3 and L4-moments applied in the first report and second report of this study, respectively. Consequently, design drought rainfalls derived by regional frequency analysis using L-moments were shown as more reliable than those using LH-moments. Finally, design drought rainfalls for the classified five homogeneous regions following the various consecutive durations were derived by regional frequency analysis using L-moments, which was confirmed as a more reliable method through this study. Maps for the design drought rainfalls for the classified five homogeneous regions following the various consecutive durations were accomplished by the method of inverse distance weight and Arc-View, which is one of GIS techniques.

Keywords

References

  1. 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
  2. Hosking, J. R. M. and J. R. Wallis. 1997. Regional Frequency Analysis. Cambridge CB2 1RP, United Kingdom: Cambridge University Press
  3. Lee, S. H., J. H. Park, K. S. Ryoo, H. K. Jee. T. K. Jeon and Y. H. Shin. 2001. 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)
  4. Lee, S. H., S. S. Yoon, S. J. Maeng, K. S. Ryoo and H. K. Joo. 2003. Estimation of Drought Rainfall by Regional Frequency Analysis using L and LH-Moments(I). Journal of the Korean Society of Agricultural Engineers 45(5): 97-109. (in Korean)
  5. Maeng, S. J. 2002. Estimation of Design Flood by the Determination of Best Fitting Order for LH-Moments. Ph. D. Thesis. Cheongju, Chungbuk Prov.: Chungbuk National University. (in Korean)
  6. Wang, Q. J. 1997a. LH Moments for Statistical Analysis of Extreme Events. Water Resources Research 33(2): 2841-2848 https://doi.org/10.1029/97WR02134
  7. Wang, Q. J. 1997b. Using Higher Probability Weighted Moments for Flood Frequency Analysis. Journal of Hydrology 194: 95-106 https://doi.org/10.1016/S0022-1694(96)03223-4
  8. Yoon. Y. N. 1972. A study on the Statistical Analysis of Low Flows for Impounding Reservoir Design. Journal of Korean Association of Hydrological Sciences 20(1): 37-46. (in Korean)