A modeling scheme for the study of drainage density

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Abstract
An analytical approach is taken for the modeling of the drainage density of a basin. A rainfall model, a runoff model, and an erosion model are coupled together to estimate from climatic and geomorphologic characteristics the expected length of no‐erosion in a basin and, through this parameter, the drainage density of the watershed. The convergence of overland flow as an important cause of the growth upslope of the channels is explicitly taken into account in the model, as well as a simple approximation to the evolution in time of the contributing area at the source. The approach is applied to two basins in Puerto Rico, with encouraging results.

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