An economic model of metapopulation dynamics

Stefano Bosi and David Desmarchelier

Working Papers of BETA from Bureau d'Economie Théorique et Appliquée, UDS, Strasbourg

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 anotherone 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: metapopulation dynamics; pollution; Ramsey model; Hopf bifurcation. (search for similar items in EconPapers)
JEL-codes: C61 E32 O44 (search for similar items in EconPapers)
Date: 2017
New Economics Papers: this item is included in nep-dge, nep-ene, nep-env and nep-mac
References: Add references at CitEc
Citations:

Downloads: (external link)
http://beta.u-strasbg.fr/WP/2017/2017-22.pdf (application/pdf)

Related works:
Journal Article: An economic model of metapopulation dynamics (2018)
Working Paper: 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:ulp:sbbeta:2017-22

Access Statistics for this paper

More papers in Working Papers of BETA from Bureau d'Economie Théorique et Appliquée, UDS, Strasbourg Contact information at EDIRC.
Bibliographic data for series maintained by ( this e-mail address is bad, please contact ).