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Communication Dans Un Congrès Année : 2011

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

Résumé

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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Dates et versions

hal-00651732 , version 1 (14-12-2011)

Identifiants

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

Citer

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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