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Derivation of the intensity-duration-frequency curve for annual maxima rainfall using generalised extreme value distribution

The analysis of one-day maximum rainfall for 27-years rainfall data in Kumulur region was conducted using Gumbel distribution and Generalized Extreme Value distributions. The parameters of the distributions were estimated using the method of L- moments. Annual one-day maximum rainfall data for 27-years was analyzed and the return levels for 2, 5, 10 and 25-years were calculated using the proposed probability distribution functions. The goodness of fit of the probability distribution was analysed by conducting Chi-square test. It was found that, the annual maxima rainfall data for one day maximum rainfall of Kumulur region fits best with the Generalized Extreme Value distribution. The short duration rainfall depths for 1-hr, 2-hr, 3-hr, 5-hr, and 8-hr were calculated using the Empirical Reduction Formula proposed by the Indian Meteorological Department. The intensity of the obtained rainfall depths was also calculated. The rainfall IntensityDuration-Frequency (R-IDF) curves were plotted for the region and the corresponding empirical equations were derived. | Derivation of the intensity-duration-frequency curve for annual maxima rainfall using generalised extreme value distribution