A measure of the entropy associated with a channel network is defined, according to the Shannon informational definition, as the expectation of (-log pj), where pj is the ratio of the existing paths at the bifurcation level j to the total number of paths. Here j and pj are respectively proportional to the arrival time of water to the network outlet and to the number of water parcels arriving from the distance j. The expression for the channel network entropy proposed in this paper is well suited for hydrologic purposes. It is shown that the network entropy is strictly related to basin characteristics such as average elevation, Horton order, and magnitude. -from Authors
On What Can Be Explained by the Entropy of a Channel Network / M., Fiorentino; Claps, Pierluigi - In: Entropy and Energy Dissipation in Water Resources / SINGH; V.P. AND M. FIORENTINO EDS.. - DORDRECHT : Kluwer Publ., 1992. - ISBN 0-7923-1696-7. - pp. 139-154 [10.1007/978-94-011-2430-0_7]
On What Can Be Explained by the Entropy of a Channel Network
CLAPS, Pierluigi
1992
Abstract
A measure of the entropy associated with a channel network is defined, according to the Shannon informational definition, as the expectation of (-log pj), where pj is the ratio of the existing paths at the bifurcation level j to the total number of paths. Here j and pj are respectively proportional to the arrival time of water to the network outlet and to the number of water parcels arriving from the distance j. The expression for the channel network entropy proposed in this paper is well suited for hydrologic purposes. It is shown that the network entropy is strictly related to basin characteristics such as average elevation, Horton order, and magnitude. -from AuthorsPubblicazioni consigliate
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https://hdl.handle.net/11583/1394495
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