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Monte Carlo simulation and mathematical analysis of an individual-based model for clonal plant dynamics

Fabien Campillo 1, 2 Nicolas Champagnat 3, 4 Cendrine Mony 5
1 MODEMIC - Modelling and Optimisation of the Dynamics of Ecosystems with MICro-organisme
CRISAM - Inria Sophia Antipolis - Méditerranée , MISTEA - Mathématiques, Informatique et STatistique pour l'Environnement et l'Agronomie
3 TOSCA
CNRS - Centre National de la Recherche Scientifique : UMR7502, INPL - Institut National Polytechnique de Lorraine, Université Nancy 2, UHP - Université Henri Poincaré - Nancy 1, CRISAM - Inria Sophia Antipolis - Méditerranée , INRIA Lorraine
Abstract : We propose a stochastic individual-based model for clonal plant dynamics in continuous time and space. This model simulates the growth of clonal networks in function of the availability of resources which is modelled as an explicit advection-diffusion dynamics for resources. After giving a partially exact simulation scheme of the model, we analysed through numerical simulation the efficiency of plants to forage resources over the field depending on their growth form. In particular, the foraging efficiency of two differing strategies of space colonisation (phalanx vs. guerrilla) was analyzed. 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 architecture of the clonal network 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.
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https://hal.inria.fr/hal-00651732
Contributor : Fabien Campillo <>
Submitted on : Wednesday, December 14, 2011 - 9:58:51 AM
Last modification on : Tuesday, May 18, 2021 - 2:32:03 PM

Identifiers

  • HAL Id : hal-00651732, version 1
  • PRODINRA : 49680

Citation

Fabien Campillo, Nicolas Champagnat, Cendrine Mony. Monte Carlo simulation and mathematical analysis of an individual-based model for clonal plant dynamics. 54th Symposium of the International Association for Vegetation Science (IAVS), Jun 2011, Lyon, France. n. p. ⟨hal-00651732⟩

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