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On the expected width function for topologically random channel networks

Published online by Cambridge University Press:  14 July 2016

Brent M. Troutman  and
Michael R. Karlinger
Brent M. Troutman*
Affiliation:
U.S. Geological Survey
Michael R. Karlinger*
Affiliation:
U.S. Geological Survey
*
∗Postal address: U.S. Department of the Interior, Geological Survey, Box 25046, M.S. 420, Denver Federal Center, Denver, CO 80225, USA.
∗Postal address: U.S. Department of the Interior, Geological Survey, Box 25046, M.S. 420, Denver Federal Center, Denver, CO 80225, USA.
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Abstract

An idealized river-channel network is represented by a trivalent planted plane tree, the root of which corresponds to the outlet of the network. A link of the network is any segment between a source and a junction, two successive junctions, or the outlet and a junction. For any x≧0, the width of the network is the number of links with the property that the distance of the downstream junction from the outlet is ≦x, and the distance of the upstream junction to the outlet is > x. Expressions are obtained for the expected width conditioned on N, (N, M), and (N, D), where N is the magnitude, M the order, and D the diameter of the network, under the assumption that the network is drawn from an infinite topologically random population and the link lengths are random.

Keywords

NETWORKSBRANCHING PROCESS
Type
Research Papers
Information
Journal of Applied Probability , Volume 21 , Issue 4 , December 1984 , pp. 836 - 849
Copyright
Copyright © Applied Probability Trust 1984 

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