Analysis of Ferquency Maximum Flood in Mountain basin (Case study: Armand station)

A bivariate extreme value distribution, namely the Gumbel mixed model constructed from Gumbel marginal distributions is employed to analyze the joint distribution of correlated flood peak (probable maximum flood) and amount. Based on its marginal distributions, the joint distribution, the conditional probability distribution, and the associated return periods can be deduced. Parameters of the bivariate distribution model are estimated based on its marginal distributions by the method of moments (MM). The usefulness of the model is demonstrated by using it to represent multivariate probable maximum flood events at the Beheshtabad basin discharge station Armand in Iran.