Magnitude and Frequency Analyses of Floods on the Kaveri River of the Southern India by Using Gumbel Extreme Value Type-I Probability Distribution

The Gumbel Extreme Value Type-I (GEVI) probability distribution is applied to investigate magnitude and frequency of floods on the Kaveri River using Annual Maximum Series data for 17 to 47 years. The GEVI is used for future probabilities of occurrences of floods and to estimate the recurrence interval of average annual peak discharges (Q), large floods (Qlf) and actually observed maximum annual peak discharges (Qmax). The discharges have been estimated for 2-yr, 5-yr, 10-yr, 25-yr, 50-yr, 100-yr, 500-yr and 1000-yr floods that range from 9 to 10408 m3s-1. As per GEVI, the has a recurrence interval of 2.33 years, Qlf has 6.93 years. However, recurrence interval of Qmax range between 36 and 636 years. The curves portrayed on GEVI probability paper provide dependable estimates of floods. The GEVI probability distribution, therefore, can be reliably and conveniently used to estimate the recurrence intervals for given magnitude and vice versa.