Abstract
A relation exists among four parameters of natural drainage systems. The parameters are: the bifurcation ratio, the stream length ratio, the basin area ratio, and the basin shape parameter. The bifurcation ratio is found to vary directly with the basin area ratio, and the stream length ratio raised to a power which is the reciprocal of the basin shape parameter. Bounds for the basin area ratio are determined by exploiting the fact that some streams of order i do not join streams of order i+1 but join streams of higher order. Those bounds, with given values for the basin shaped parameter, enable us to determine admissible regions for feasible pairs of values that the bifurcation and stream length ratios may assume. A plot of an admissible region and some associated tables are provided.
Published Version
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