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Hydrologic frequency analysis often uses the annual maximum series (AMS) of rainfall and river discharge. However, sometimes the use of AMS is insufficient because AMS may include non-flood annual maximum discharges. This paper describes the use of the partial duration series (PDS) as well as the AMS, giving the theoretical background of the relationship between the generalized Pareto (GP) distribution for the PDS and the generalized extreme-value (GEV) distribution for the AMS. These distributions are evaluated for seventy-nine river discharge samples in Japan from the view point of both goodness of fit and stability of quantile estimates obtained by the jackknife resampling method.

HYDROLOGIC FREQUENCY ANALYSIS WITH ANNUAL MAXIMUM SERIES AND PARTIAL DURATION SERIES