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Upper Estimates of the Mean Extinction Time of a Population with a Constant Carrying Capacity

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  • SERGEY KLOKOV

Abstract

In a population of individuals with an identical type and nonoverlapping generations, the number of offspring has a Poisson distribution depending on the carrying capacity K and the total population size. Upper estimates of the mean extinction time Eτ are established and essentially have the form Eτ ≤CecK with some constants C > 0 and c ≈ 0.707.

Suggested Citation

  • Sergey Klokov, 2009. "Upper Estimates of the Mean Extinction Time of a Population with a Constant Carrying Capacity," Mathematical Population Studies, Taylor & Francis Journals, vol. 16(3), pages 221-230.
  • Handle: RePEc:taf:mpopst:v:16:y:2009:i:3:p:221-230 DOI: 10.1080/08898480903035071
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    References listed on IDEAS

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    1. Barro, Robert J, 1974. "Are Government Bonds Net Wealth?," Journal of Political Economy, University of Chicago Press, vol. 82(6), pages 1095-1117, Nov.-Dec..
    2. Lambrecht, Stephane & Michel, Philippe & Vidal, Jean-Pierre, 2005. "Public pensions and growth," European Economic Review, Elsevier, vol. 49(5), pages 1261-1281, July.
    3. Stéphane Lambrecht & Philippe Michel & Emmanuel Thibault, 2006. "Capital Accumulation and Fiscal Policy in an OLG Model with Family Altruism," Journal of Public Economic Theory, Association for Public Economic Theory, vol. 8(3), pages 465-486, August.
    4. BRECHET, Thierry & LAMBRECHT, Stéphane, 2006. "Intertemporal equilibrium with a resource bequest motive," CORE Discussion Papers 2006022, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
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