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The linear relationship between the concentration time and the storage coefficient in Figure 3(c) could also be quantified by the regression model of the form, . In this case, the constant was estimated to be 1.4. Simply put, the storage coefficient was found to be 1.4 times larger than the concentration time, over all ranges of observed peak discharges or peak velocities. Based on the very high coefficient of determination of 0.95 or higher, this linear relationship could be assumed to be reliable. That is, even though the peak discharge and the peak velocity increase, the ratio between the two parameters does not change significantly. This strong linear relationship could also be confirmed in other basins, whose results are summarized in Table 3. In this table, basin #1 is the smallest one, while basin #21 is the largest one. As the basin becomes larger in the area, the ratio between the two parameters becomes larger to indicate a greater storage effect.

Table 3

Regression coefficient and the coefficient of determination for each regression model in Figure 4 

Basin # (m/s) vs. (h)
(m/s) vs. K (h)
(h) vs. K (h)
(km)R2 (km)R2 (h/h)R2
20.8 0.881 21.7 0.876 1.0 0.981 
20.1 0.986 21.6 0.980 1.1 0.999 
27.8 0.897 30.6 0.772 1.1 0.960 
26.9 0.997 24.3 0.963 0.9 0.944 
15.2 0.998 12.8 0.999 0.8 0.999 
31.4 0.998 37.3 0.997 1.2 0.999 
56.4 0.975 81.9 0.934 1.5 0.961 
48.5 0.943 46.2 0.800 1.0 0.932 
56.1 0.998 65.4 0.996 1.2 0.999 
10 49.2 0.981 49.4 0.993 1.0 0.992 
11 55.0 0.968 56.0 0.955 1.0 0.997 
12 65.6 0.990 86.8 0.993 1.3 0.991 
13 79.2 0.964 107.4 0.931 1.4 0.978 
14 70.5 0.963 91.0 0.979 1.3 0.991 
15 84.5 0.942 118.5 0.926 1.4 0.985 
16 115.2 0.958 163.3 0.930 1.4 0.974 
17 100.0 0.991 105.8 0.993 1.1 0.995 
18 123.6 0.793 169.3 0.887 1.4 0.988 
19 156.9 0.878 215.9 0.841 1.4 0.998 
20 178.8 0.939 283.4 0.953 1.6 0.988 
21 166.3 0.945 204.2 0.922 1.2 0.981 
Basin # (m/s) vs. (h)
(m/s) vs. K (h)
(h) vs. K (h)
(km)R2 (km)R2 (h/h)R2
20.8 0.881 21.7 0.876 1.0 0.981 
20.1 0.986 21.6 0.980 1.1 0.999 
27.8 0.897 30.6 0.772 1.1 0.960 
26.9 0.997 24.3 0.963 0.9 0.944 
15.2 0.998 12.8 0.999 0.8 0.999 
31.4 0.998 37.3 0.997 1.2 0.999 
56.4 0.975 81.9 0.934 1.5 0.961 
48.5 0.943 46.2 0.800 1.0 0.932 
56.1 0.998 65.4 0.996 1.2 0.999 
10 49.2 0.981 49.4 0.993 1.0 0.992 
11 55.0 0.968 56.0 0.955 1.0 0.997 
12 65.6 0.990 86.8 0.993 1.3 0.991 
13 79.2 0.964 107.4 0.931 1.4 0.978 
14 70.5 0.963 91.0 0.979 1.3 0.991 
15 84.5 0.942 118.5 0.926 1.4 0.985 
16 115.2 0.958 163.3 0.930 1.4 0.974 
17 100.0 0.991 105.8 0.993 1.1 0.995 
18 123.6 0.793 169.3 0.887 1.4 0.988 
19 156.9 0.878 215.9 0.841 1.4 0.998 
20 178.8 0.939 283.4 0.953 1.6 0.988 
21 166.3 0.945 204.2 0.922 1.2 0.981 

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