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A spatially explicit Markovian individual-based model for terrestrial plant dynamics

Fabien Campillo 1 Marc Joannides 1, 2
1 MERE - Water Resource Modeling
CRISAM - Inria Sophia Antipolis - Méditerranée , INRA - Institut National de la Recherche Agronomique : UMR0729
Abstract : An individual-based model (IBM) of a spatiotemporal terrestrial ecological population is proposed. This model is spatially explicit and features the position of each individual together with another characteristic, such as the size of the individual, which evolves according to a given stochastic model. The population is locally regulated through an explicit competition kernel. The IBM is represented as a measure-valued branching/diffusing stochastic process. The approach allows (i) to describe the associated Monte Carlo simulation and (ii) to analyze the limit process under large initial population size asymptotic. The limit macroscopic model is a deterministic integro-differential equation.
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https://hal.inria.fr/inria-00502559
Contributor : Fabien Campillo <>
Submitted on : Thursday, July 15, 2010 - 11:50:32 AM
Last modification on : Wednesday, February 10, 2021 - 3:35:24 AM

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  • HAL Id : inria-00502559, version 1
  • ARXIV : 0904.3632

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Fabien Campillo, Marc Joannides. A spatially explicit Markovian individual-based model for terrestrial plant dynamics. 2010. ⟨inria-00502559⟩

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