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More about Stream Recurrence Intervals

On the right is the data you prepared for annual peak discharge (Qmax) on Colorado's Gunnison River. The Qmax values are a little different than your because these Q values are the exact ones taken from the United States Geological Survey "real-time data" web site.

In order to calculate the Recurrence Interval (RI) of a flood of a certain size we need to first RANK-ORDER the discharge values from greatest to least. The maximum peak flow (3620 cfs) happened in 1990, so its rank is #1, whereas the minimum peak discharge (109 cfs)occurred in 1979, so its rank is #21 (there are 21 years of data). Fill in the rest of the rank values. (Some Qs are rank-ordered for you.)

The Recurrence Interval (RI) is calculated as follows:
RI = (n +1) ÷ Rank,
where n is the # of years of data (21 in this case).

The peak flow of 1990 has rank = 1, so its RI is (21 + 1)/1 = 22 years.

Calculate the RI for the 21 years of data. (Some RI values have been determined for you.)

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Year
Qmax (cfs)
Rank #
RI (yrs)
1975
195
20
1.1
1976
288
18
a.
1977
1251
b.
2.4
1978
496
16
c.
1979
109
21
1.05
1980
881
d.
e.
1981
266
19
1.2
1982
950
f.
g.
1983
2096
h.
i.
1984
1685
5
j.
1985
1205
k.
2.2
1986
1350
l.
2.8
1987
301
17
1.3
1988
661
15
1.5
1989
980
11
2.0
1990
3620
1
22
1991
1680
6
3.7
1992
1650
7
3.1
1993
2554
m.
7.3
1994
2831
n.
11.0
1995
906
13
1.7

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