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Population inertia and its sensitivity to changes in vital rates or initial conditions

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Author Info

  • David N. Koons

    (Max Planck Institute for Demographic Research, Rostock, Germany)

  • Randall Holmes
  • James B. Grand
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    Abstract

    Many studies have examined Keyfitz’s population momentum, a special case of inertia in long-term population size resulting from demographic transition to the stationary population growth rate. Yet, population inertia can be produced by any demographic perturbation (i.e., not just perturbations that produce stationary growth). Insight into applied population dynamics, population ecology, and life history evolution has been gained using perturbation analysis of the population growth rate. However, a similar, generalized framework for perturbation analysis of population inertia has not been developed. We derive general formulas for the sensitivity of population inertia to change in any vital rate or initial population structure. These formulas are readily computable, and we provide examples of their potential use in life history and applied studies of populations.

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    File URL: http://www.demogr.mpg.de/papers/working/wp-2006-040.pdf
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    Bibliographic Info

    Paper provided by Max Planck Institute for Demographic Research, Rostock, Germany in its series MPIDR Working Papers with number WP-2006-040.

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    Length: 40 pages
    Date of creation: Nov 2006
    Date of revision:
    Handle: RePEc:dem:wpaper:wp-2006-040

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    Web page: http://www.demogr.mpg.de/

    Related research

    Keywords: age distribution; life histories; mathematical demography; migration flow; pest control; stable population;

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    1. Joshua Goldstein, 2002. "Population momentum for gradual demographic transitions: an alternative approach," Demography, Springer, vol. 39(1), pages 65-73, February.
    2. Robert Schoen & Young Kim, 1991. "Movement toward stability as a fundamental principle of population dynamics," Demography, Springer, vol. 28(3), pages 455-466, August.
    3. A Rogers & F Willekens, 1978. "The spatial reproductive value and the spatial momentum of zero population growth," Environment and Planning A, Pion Ltd, London, vol. 10(5), pages 503-518, May.
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