Hi Peter,
Along with the incorrect Ia parameter distribution that occurs with area-weighting of Curve Numbers, inaccurate estimates occur due to the non-linear behavior of the SCS runoff equation. Area-weighting of the runoff coefficient is not a problem with the linear characteristics of the Rational Method. It can be a significant problem when the CN numbers are not close in value, as is the case many times in land development.
In land development it is common to reasonably discretize an area consisting of interspersed different cover complexes into one basin, with one reasonable Tc path. It would be too time consuming, not cost effective, and not physically warranted to subdivide such a basin into separate basins each with its individual CN, Tc path, and hydrograph; and then have to route them together after that. This could easily amount to 3-5 times more basins, Tc paths and hydrographs, across a land development project than is needed, than if the always correct, Weighted-Volume SCS method was used.
Please see my example below comparing the Area-Weighting method and the Weighted-Volume method for a typical soil cover complex interspersed over 10 acres. Note the inaccurate estimate the area-weighting procedure delivers here.
Cover Area (ac) P (in) CN S (in) Ia (in) Q (in)
Woods 2.00 3.00 30 23.33 4.67 0.13
Pasture 3.00 3.00 58 7.24 1.45 0.27
Lawn 3.00 3.00 72 3.89 0.78 0.81
Gravel 2.00 3.00 96 0.42 0.08 2.55
Weighted-CN 10.00 3.00 64.2 5.58 1.12 0.48
Q(W-Vol) Total Vol
0.86 31,241
Q(W-Area) Total Vol
0.48 17,283
[highlight #FCE94F]% difference = 45%[/highlight]
I have attached an image file also for easier viewing if needed.