A 14.7-ac multifamily residential catchment in Miami has a total impervious area of 10.4 ac, but it has a hydraulically effective impervious area of only 6.48 ac. The pervious portions of the basin consist of lawns over a Perrine marl, with a very slow infiltration rate. Rainfall and runoff data monitored by the USGS (Hardee et al., 1979) are reported in Table for 16 storm events.
(a) Determine a linear relationship between runoff and rainfall using linear regression analysis (least squares). Test the significance of the regression, and plot the data points and the fitted line.
(b) What is the value of depression storage for this basin?
Table
HDR Catchment Monitored Storms and 10 SWMM5 Simulation Results
USGS ID | Date | Rain Gage 1 (in.) | Rain Gage 2 (in.) | Monitoring Duration* (hr) | Measured Runoff Volume (in.) | Measured Runoff Peak (cfs) | Simulated** Runoff Volume (in.) | Simulated** Runoff Peak (cfs) |
1 | 5/4/1977 | 2.85 | – | 5.67 | 1.983 | 20.68 | 1.588 | 20.58 |
3 | 5/1 1/1977 | 1.17 | – | 0.83 | 0.657 | 31.57 | 0.669 | 30.58 |
4 | 5/1 1/1977 | 2.08 | – | 2.083 | 1.426 | 26.47 | 1.228 | 20.07 |
5 | 6/1/1977 | 1.86 | 1.66 | 4.25 | 1.176 | 15.64 |
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|
9 | 7/15/1977 | 1.67 | 1.45 | 3.17 | 0.668 | 15.28 | 0.854 | 15.01 |
16 | 8/8/1977 | – | 0.53 | 1.33 | 0.217 | 11.91 | 0.215 | 10.41 |
17 | 8/8/1977 | 0.84 | 1 | 4.33 | 0.541 | 12.98 | 0.365 | 11.51 |
18 | 8/12/1977 | 1.50 | 1.49 | 6.083 | 0.9 | 16.26 |
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|
33 | 12/6/1977 | 0.70 | 0.8 | 2.5 | 0.308 | 15.57 | 0.335 | 10.94 |
38 | 1/19/1978 | 0.73 | 0.79 | 5.5 | 0.277 | 9.99 |
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39 | 2/18/1978 | 2.02 | 2.1 | 7.917 | 0.712 | 10.98 |
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40 | 3/3/1978 | 1.56 | 1.51 | 4.67 | 0.423 | 14.04 |
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44 | 4/23/1978 | 0.74 | 0.73 | 2.17 | 0.33 | 14.33 | 0.321 | 12.72 |
48 | 5/18/1978 | 0.75 | 0.74 | 3.83 | 0.238 | 7.96 | 0.303 | 6.53 |
50 | 5/26/1978 | 0.61 | 0.58 | 2.17 | 0.266 | 10.53 |
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52 | 6/12/1978 | 1.01 | 1.01 | 1.083 | 0.444 | 24.03 | 0.548 | 25.75 |
*Monitoring was at 5-min intervals and duration reflects the 1/12-hr intervals. The duration corresponds to the end of flow sampling. The rainfall duration was usually less by many minutes.
**Gray shading corresponds to storms used for verification while unshaded means calibration storms.
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