DAVID N. WILCOCK; Relations between Planimetric and Hypsometric Variables in Third- and Fourth-Order Drainage Basins. GSA Bulletin ; 86 (1): 47–50. doi: https://doi.org/10.1130/0016-7606(1975)86<47:RBPAHV>2.0.CO;2
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Analyses of relief distribution and drainage distribution within individual drainage basins suggest that relative density (F/D2), a dimensionless variable describing a planimetric characteristic of stream organization in a basin, is related to the hypsometric integral (HI), a dimensionless variable describing the distribution of relief within a basin.
The nature of this relation seems to be important in explaining much of the scatter in the graphical relations between F (stream frequency) and D (drainage density).
It is suggested that, within any sample of drainage basins, the distribution of individual basin HI values about the sample mean HI value might influence the value of k in the relation F = jDk.