A probabilistic approach of flow-balanced network based on Markov chains

Type Article
Date 2006-03
Language English
Author(s) Leguerrier Delphine1, 2, Bacher CedricORCID3, Benoit Eric4, Niquil Nathalie1
Affiliation(s) 1 : IFREMER, F-29280 Plouzane, France.
2 : Univ La Rochelle, Pole Sci & Technol, Lab Biol & Environm Marins, CNRS,FRE 2727, F-17042 La Rochelle 1, France.
3 : CREMA, IFREMER, CNRS, UMR10, F-17137 Lhoumeau, France.
4 : Univ La Rochelle, Pole Sci & Technol, Math Lab, F-17042 La Rochelle 1, France.
Source Ecological Modelling (0304-3800) (Elsevier), 2006-03 , Vol. 193 , N. 3-4 , P. 295-314
DOI 10.1016/j.ecolmodel.2005.08.036
WOS© Times Cited 8
Keyword(s) First passage time, Box model, Food web model, Network, Transfer rate, Residence time, Markov chain
Abstract We used Markov chains to assess residence time, first passage time, rare of transfers between compartments, recycling index with a general mathematical formalism. Such a description applies to any flow-balanced system that can be modelled as a series of discrete stages or compartments through which matter flows. We derived a general set of equations from a probabilistic approach and applied them to a food web and a physical system derived from the literature. We therefore analysed preferential pathways of matter and behaviour of these systems and showed how it was possible to build up and exploit indices on the basis of a transition probability matrix describing the network, and to characterize with a generic algorithm: (1) the total indirect relationships between two compartments, (2) (he residence time of one compartment and (3) the general recycling pathways including the amount of matter recycling and the implication of each compartment in recycling. (C) 2005 Elsevier B.V. All rights reserved.
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