inria-00526379, version 1

Simulation and analysis of an individual-based model for graph-structured plant dynamics

Fabien Campillo ( Auteur à contacter de préférence ) ^1, 2, 3, Nicolas Champagnat () ⁴

Ecological Modelling 234 (2012) 93-105

Résumé : We propose a stochastic individual-based model for clonal plant dynamics in continuous time and space, focusing on the effects of the network structure of the plants on the reproductive strategy of ramets. This model is coupled with an explicit advection-diffusion dynamics for resources. After giving a partially exact simulation scheme of the model, the capacity of the model to reproduce specific features of clonal plants, such as their efficiency to forage resources over the field, is numerically studied. Next, we propose a large population approximation of the model for phalanx-type populations, taking the form of an advection-diffusion PDE for population densities, where the influence of the local graph structure of the plant takes the form of a nonlinear dependence in the gradient of resources. Finally, extensions of the model and other possible large population scalings are discussed.

1 : MERE (INRIA Sophia Antipolis - INRA/SupAgro UMR 0729 MISTEA - Montpellier)
INRIA – Institut national de la recherche agronomique (INRA) : UMR0729
2 : Mathématiques, Informatique et STatistique pour l'Environnement et l'Agronomie (MISTEA)
Institut national de la recherche agronomique (INRA)
3 : MODEMIC (INRIA Sophia Antipolis)
INRIA – Institut national de la recherche agronomique (INRA)
4 : TOSCA (INRIA Sophia Antipolis / INRIA Lorraine / IECN)
INRIA – CNRS : UMR7502 – Université Henri Poincaré - Nancy I – Université Nancy II – Institut National Polytechnique de Lorraine (INPL)

inria-00526379, version 1
http://hal.inria.fr/inria-00526379
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Contributeur : Nicolas Champagnat <>
Soumis le : Jeudi 14 Octobre 2010, 14:20:27
Dernière modification le : Jeudi 7 Février 2013, 11:22:26

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DOI : 10.1016/j.ecolmodel.2012.03.017

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