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

Author

Listed:
  • David N. Koons

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

  • Randall Holmes
  • James B. Grand

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.

Suggested Citation

  • David N. Koons & Randall Holmes & James B. Grand, 2006. "Population inertia and its sensitivity to changes in vital rates or initial conditions," MPIDR Working Papers WP-2006-040, Max Planck Institute for Demographic Research, Rostock, Germany.
  • Handle: RePEc:dem:wpaper:wp-2006-040
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    File URL: http://www.demogr.mpg.de/papers/working/wp-2006-040.pdf
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    References listed on IDEAS

    as
    1. Joshua Goldstein, 2002. "Population momentum for gradual demographic transitions: an alternative approach," Demography, Springer;Population Association of America (PAA), vol. 39(1), pages 65-73, February.
    2. A Rogers & F Willekens, 1978. "The Spatial Reproductive Value and the Spatial Momentum of Zero Population Growth," Environment and Planning A, , vol. 10(5), pages 503-518, May.
    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.
    4. Robert Schoen & Young Kim, 1991. "Movement toward stability as a fundamental principle of population dynamics," Demography, Springer;Population Association of America (PAA), vol. 28(3), pages 455-466, August.
    Full references (including those not matched with items on IDEAS)

    More about this item

    Keywords

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

    JEL classification:

    • J1 - Labor and Demographic Economics - - Demographic Economics
    • Z0 - Other Special Topics - - General

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