Compare results of Problem 1 with estimates by Gumbel’s extreme-value distribution for the 50- and 100-year events.
Problem 1
Perform a complete frequency analysis on one of the three 33-year records given in the table. Fit a Pearson type III or log–Pearson III and compare with the normal or lognormal of best fit. Plot the data and place control curves around the theoretical curve of best fit using Table 3.9.
Year | Trempeuleau River Dodge, WI (DA = 643 mi2) Qpeak (cfs) | Bow River Banff, Alberta, Canada (DA = 858 mi2) Qpeak (cfs) | James River Scottsville, VA (DA = 4570 mi2) Qpeak (cfs) |
1928 | 3,700 | 10,200 | 75,600 |
1929 | 1,700 | 7,590 | 44,700 |
1930 | 3,360 | 9,280 | 45,800 |
1931 | 1,650 | 6,610 | 21,100 |
1932 | 3,600 | 9,850 | 31,400 |
1933 | 11,000 | 11,000 | 59,500 |
1934 | 2,570 | 9,490 | 38,800 |
1935 | 4,490 | 6,940 | 93,400 |
1936 | 7,180 | 7,720 | 126,000 |
1937 | 1,780 | 5,210 | 62,200 |
1938 | 3,170 | 7,770 | 87,400 |
1939 | 6,400 | 6,270 | 68,400 |
1940 | 3,120 | 7,220 | 130,000 |
1941 | 2,890 | 4,450 | 27,100 |
1942 | 5,680 | 5,850 | 80,600 |
1943 | 5,060 | 7,380 | 95,200 |
1944 | 2,040 | 5,590 | 133,000 |
1945 | 8,120 | 4,450 | 57,000 |
1946 | 4,570 | 7,210 | 41,200 |
1947 | 5,410 | 5,880 | 33,200 |
1948 | 4,840 | 10,320 | 59,600 |
1949 | 1,920 | 4,290 | 94,200 |
1950 | 3,600 | 10,080 | 73,300 |
1951 | 4,840 | 8,570 | 64,900 |
1952 | 6,950 | 5,460 | 54,500 |
1953 | 4,040 | 9,180 | 67,000 |
1954 | 5,710 | 10,120 | 62,900 |
1955 | 10,400 | 8,680 | 70,000 |
1956 | 17,400 | 9,060 | 20,400 |
1957 | 713 | 5,360 | 64,200 |
1958 | 1,140 | 6,730 | 44,500 |
1959 | 8,000 | 7,480 | 29,300 |
1960 | 1,480 | 6,440 | 64,200 |
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