An economic model of metapopulation dynamics

Stefano Bosi () and David Desmarchelier
Additional contact information
Stefano Bosi: Université Paris Saclay (COmUE), EPEE - Centre d'Etudes des Politiques Economiques - UEVE - Université d'Évry-Val-d'Essonne

Post-Print from HAL

Abstract: In this paper, we aim to model the impact of human activities on the wildlife habitat in a general equilibrium framework by embedding the Levins model (1969) of metapopulation dynamics into a Ramsey model (1928) with a pollution externality. In the long run, as in Levins (1969), two steady states coexist: a zero one with mass extinction and another one with positive wildlife when the migration rate of the metapopulation exceeds the rate of extinction. A green tax always increases the wildlife and lowers the consumption demand. It is welfare improving if and only if agents overweight the wildlife. In the short run, we show that a sufficiently negative effect of wildlife habitat on consumption demand can lead to the emergence of a limit cycle near the positive steady state through a Hopf bifurcation. We show also that the negative pollution effect on wildlife habitat works as a destabilizing force in the economy by promoting limit cycles.

Keywords: Ramsey model; Hopf bifurcation; Metapopulation dynamics; Pollution (search for similar items in EconPapers)
Date: 2018
References: Add references at CitEc
Citations:

Published in Ecological Modelling, 2018, 387, pp.196-204. ⟨10.1016/j.ecolmodel.2018.09.013⟩

There are no downloads for this item, see the EconPapers FAQ for hints about obtaining it.

Related works:
Journal Article: An economic model of metapopulation dynamics (2018)
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:hal:journl:hal-02621019

DOI: 10.1016/j.ecolmodel.2018.09.013

Access Statistics for this paper

More papers in Post-Print from HAL
Bibliographic data for series maintained by CCSD ().