Question

Measurements of annual minimum flow rates in a river indicate that the minimum annual-minimum is 9 m^3/s, an annual minimum flow rate of 34 m^3/s has a return period of 10 years, and an annual minimum flow rate of 76 m^3/s has a return period of 50 years. If these data follow an extreme value Type III distribution, what would the 100-year minimum flow rate be? Problem 5. The annual maximum streamflows in a river have a mean of 63.2 m^3/s, a standard deviation of 13.7 m^3/s, and a skewness coefficient of 1.86. Assuming that the annual maximum streamflows are described by a GEV (Generalized Extreme Value) distribution, estimate the annual maximum streamflow with a return period of 50 years.

Answer 1

To estimate the 100-year minimum flow rate in a river, you can use the concept of return period and the extreme value Type III distribution.

Step-by-step explanation:

To estimate the 100-year minimum flow rate, we can use the concept of return period and the extreme value Type III distribution. We can calculate the scale parameter (a) and the location parameter (b) by using the given data. The formula to calculate the 100-year return period is: T = (n + 1)/m, where T is the return period, n is the number of years of record, and m is the rank of the event (1 for the smallest, 2 for the second smallest, and so on). We can then use the calculated parameters to find the flow rate associated with a 100-year return period.