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A differential equation for specific catchment area

Gallant, John C; Hutchinson, Michael


Analysis of the behavior of specific catchment area in a stream tube leads to a simple nonlinear differential equation describing the rate of change of specific catchment area along a flow path. The differential equation can be integrated numerically along a flow path to calculate specific catchment area at any point on a digital elevation model without requiring the usual estimates of catchment area and width. The method is more computationally intensive than most grid-based methods for...[Show more]

CollectionsANU Research Publications
Date published: 2011
Type: Journal article
Source: Water Resources Research
DOI: 10.1029/2009WR008540
Access Rights: Open Access


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