Bayesian Population Dynamics of Spreading Species

Arnaud Dragicevic ()
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Arnaud Dragicevic: THEMA, Universite de Cergy-Pontoise

No 2012-30, THEMA Working Papers from THEMA (THéorie Economique, Modélisation et Applications), Université de Cergy-Pontoise

Abstract: The invasion of native species by exotic species is one of the most serious threats to biodiversity and ecosystem functioning. Despite a number of empirical and theoretical studies, there is still no general model about why or when settlement becomes invasion. The purpose of this work is to test a model of Bayesian population dynamics relying on best-response strategies that could help in resource management and bioeconomic modeling. Given the exotic species survival probability, our static game unveils a breaking-level probability in mixed-strategies, where it is in the interest of exotic species to invade and in the interest of native species to resist. In dynamic setting, we introduce a stochastic version of the balance equation based on conditional probabilities. When the exotic species survival probability and the availability of resources in the ecosystem are respectively high and low, the dynamics shows that the convergence of subpopulations toward steady-states operates at a high pace.

Keywords: bioeconomics; best-responses; balance equation; Bayesian population dynamics; resource management; biodiversity; invasive species. (search for similar items in EconPapers)
JEL-codes: C61 C62 C73 Q5 Q56 Q57 (search for similar items in EconPapers)
Date: 2012
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Persistent link: https://EconPapers.repec.org/RePEc:ema:worpap:2012-30

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