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 (webmaster@cournot.u-strasbg.fr this e-mail address is bad, please contact repec@repec.org).