From individual-based models to partial differential equations - An application to the upstream movement of elvers
Authored by P Gomez-Mourelo
Date Published: 2005
DOI: 10.1016/j.ecolmodel.2005.05.014
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Abstract
The aim of this paper is to introduce a method of verification of
individual-based modeling through a relevant example. We build two
individual-based models for the movement of elvers in the French river
`Adour'. We rigorously obtain a set of stochastic differential equations
and a partial differential equation for the elvers' density, both of
which describe the same phenomenon. We solve the partial differential
equation numerically and compare statistically the results of both
methods, concluding that they are equivalent. This approach constitutes
a verification and a protocol of analysis of our individual-based
models. (c) 2005 Elsevier B.V. All rights reserved.
Tags
behavior
Dynamics
Motion
Anguilla-anguilla
Eel