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Stream length and elevation for the model of Leopold and Langbein
Author(s) -
Dacey Michael F.
Publication year - 1968
Publication title -
water resources research
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.863
H-Index - 217
eISSN - 1944-7973
pISSN - 0043-1397
DOI - 10.1029/wr004i001p00163
Subject(s) - elevation (ballistics) , unit (ring theory) , event (particle physics) , constant (computer programming) , mathematics , geology , hydrology (agriculture) , geometry , computer science , geotechnical engineering , physics , mathematics education , quantum mechanics , programming language
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.