An Estimation of Flood Quantiles at Ungauged Locations by Index Flood Frequency Curves

지표홍수 빈도곡선의 개발에 의한 미 계측지점의 확률 홍수량 추정

  • 윤용남 (고려대학교 사회환경시스템공학과) ;
  • 신창건 (고려대학교 사회환경시스템공학과) ;
  • 장수형 (고려대학교 사회환경시스템공학과)
  • Published : 2005.01.01


The study shows the possible use of the index flood frequency curves for an estimation of flood quantiles at ungauged locations. Flood frequency analysis were made for the annual maximum flood data series at 9 available stations in the Han river basin. From the flood frquency curve at each station the mean annual flood of 2.33-year return period was determined and the ratios of the flood magnitude of various return period to the mean annual flood at each station were averaged throughout the Han river basin, resulting mean flood ratios of different return periods. A correlation analysis was made between the mean annual flood and physiographic parameters of the watersheds i.e, the watershed area and mean river channel slope, resulting an empirical multiple linear regression equation over the whole Han river basin. For unguaged watershed the flood of a specified return period could be estimated by multiplying the mead flood ratio corresponding the return period with the mean annual flood computed by the empirical formula developed in terms of the watershed area and river channel slope. To verify the applicability of the methodology developed in the present study the floods of various return periods determined for the watershed in the river channel improvement plan formulation by the Ministry of Construction and Transportation(MOCT) were compared with those estimated by the present method. The result proved a resonable agreement up to the watershed area of approximately 2,000k $m^2$. It is suggested that the practice of design flood estimation based on the rainfall-runoff analysis might have to be reevaluated because it involves too much uncertainties in the hydrologic data and rainfall-runoff model calibration.


  1. 건교부 (2003). 하천정비 기본계획수립 및 하천정비대장 작성 지침
  2. 김남원 (1997). '미계측유역의 확률홍수량 산정을 위한 동력학적 홍수빈도모형개발', 박사학위논문, 강원대학교
  3. 김창남 (1991). '확률홍수량 산정을 위한 지역빈도분석', 석사학위논문, 한양대학교
  4. 노재식 (1992). '하천 홍수량 크기 및 빈도 결정', 대한 토목학회 논문집, Vol. 12(2), pp.141-150
  5. Darymple, T. (1960). Flood-frequency analyses, U. S. Geol. Surv. Water Supply paper. 1543A
  6. Hosking, J.R. M., Wallis, J.R., and Wood, E.F. (1985). 'Estimation of the Generalized Extreme-Value Distribution by the Method of Probability-Weighted Moments'. Technometrics, 27: pp. 251-261
  7. Lettenmaier, D.P., Potter, K.W. (1985). 'Testing Flood Frequency estimation methods using a regional flood generation model', Water Resources Research, Vol. 21(2), pp. 1903-1914
  8. Lettenmaier, D.P., Wallis, J.R., and Wood, E.F. (1987). Effect of Regional Heterogeneity on Flood Frequency Analysis. Water Resources Research, 23(2), pp.313-323
  9. Linslev, R.K., Kohler, M.A., and Paulhus, J.L., (1982). Hydrology for engineers. New York, McGraw-Hill, pp. 508
  10. Mallow, C.L. (1973). Some comments on Cp, Technometrics 15, pp. 661-675
  11. Pierre Javelle, Taha B.M.J. Ouarda, Michel Lang, Bernard Bobee, Gilles Galea and Jean-Michel Gresillon, (2002). 'Development of regional flood-duration-frequency curves based on the index-flood method', Journal of Hydrology, Vol.258(1-4), pp. 249-259
  12. T.R. Kjeldsen, J.C. Smithers and R.E. Schulze, (2002). 'Regional flood frequency analysis in the KwaZulu-Natal province, South Africa, using the index-flood method', Jouranl of Hydrology, Vol.255(1-4), pp. 194-211
  13. Viessman, W. and G.L. Lewis, (1996). Introduction to Hydrology, Fourth Edition. Harper Collins College Publishers, New York, NY, pp. 760

Cited by

  1. A Study on Design Flood Estimation Equation of Small and Medium Sized Urban River vol.16, pp.2, 2016,