The areal reduction factor: A multifractal analysis

The areal reduction factor (ARF) ? is a key quantity in the design against hydrologic extremes. For a basin of area a and a duration d , ?( a , d , T ) is the ratio between the average rainfall intensity in a and d with return period T and the average rainfall intensity at a point for the same d and T . Empirical ARF charts often display scaling behavior. For example, for large ( / d ) ratios and given T the ARF tends to behave like ( / d ) -a...