2009/04/23 by Fabien Campillo, Campillo, Fabien, Marc Joannides +1
Biochemistry, Genetics and Molecular Biology · Environmental Science · Mathematics · #60J80 #60J85 (Primary) #92D25 (Secondary) #Ecology and Vegetation Dynamics Studies #Evolution and Genetic Dynamics #FOS: Biological sciences #FOS: Mathematics #Populations and Evolution (q-bio.PE) #Probability (math.PR) #Stochastic processes and statistical mechanics #math.PR #msc:60J80 #msc:60J85 #msc:92D25 #q-bio.PE
paper · pdf · doi:10.48550/arxiv.0904.3632
31 pages, 1 figure
openalex publication_date 2009/04/23 · arxiv created 2010/06/30 · arxiv updated 2010/07/05 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28
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.