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 .
1	20.8	0.881	21.7	0.876	1.0	0.981
2	20.1	0.986	21.6	0.980	1.1	0.999
3	27.8	0.897	30.6	0.772	1.1	0.960
4	26.9	0.997	24.3	0.963	0.9	0.944
5	15.2	0.998	12.8	0.999	0.8	0.999
6	31.4	0.998	37.3	0.997	1.2	0.999
7	56.4	0.975	81.9	0.934	1.5	0.961
8	48.5	0.943	46.2	0.800	1.0	0.932
9	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 .
1	20.8	0.881	21.7	0.876	1.0	0.981
2	20.1	0.986	21.6	0.980	1.1	0.999
3	27.8	0.897	30.6	0.772	1.1	0.960
4	26.9	0.997	24.3	0.963	0.9	0.944
5	15.2	0.998	12.8	0.999	0.8	0.999
6	31.4	0.998	37.3	0.997	1.2	0.999
7	56.4	0.975	81.9	0.934	1.5	0.961
8	48.5	0.943	46.2	0.800	1.0	0.932
9	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

View Large