c. Maximum Annual discharge for the Chikasia River near Blackwell, Oklahoma for

Question

c. Maximum Annual discharge for the Chikasia River near Blackwell, Oklahoma for 1936- given in the following table. Find out the recurrence interval of the river for year 1977 is 1941 Year Mean Discharge (rs) Year Mean Discharge (eris) Year Mean Discharge (rs) 1936 524 1937 266 938 419 1939 159 1940 76.6 1941 199 1942 690 1943 282 1944 694 1945 884 1946 228 1947 667 1948 728 1949 1170 1950 375 1951 1450 1952 254 1953 109 1954 71.0 1955 307 1956 168 1957 7 1964 656 1965 835 1966 184 1967 189 1968966 1969 97.6 1970 158 1958 1307 1959 168 960 979 1961 420 1962 468 1963 908 1971 337 1972 661 1973 739 1974 161 1975 151 1976 1130 1977 96

Explanation / Answer

Answer:

Here, estimate is given for 42 years. By formula, R = (N + 1) / M

where, R is the recurrence interval, N is the number of recorded years and M is the rank of record. Here, we have to determine the R for 1941 when mean discharge of Chikasia river was 199 ft3/s. Among the 42 records, this record has rank 30.

So, R = (42 + 1) / 30 = 1.43 years.

Recurrence interval for the year 1941 is 1.43 years or 1 year and 5 months, approximately.

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