Abstract
A random walk formulation is given for a simple model of stream profile. The basic assumptions of the model are that in a unit of distance the elevation of the stream remains constant or drops by a unit of elevation and that the probability of each event depends upon elevation. This model is analyzed to obtain the frequency functions, means, and variances for length of stream from its origin to ‘sea‐level’ and for elevation of the stream at each unit distance from its origin.
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