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Reproductive value, sensitivity, and nonlinearity: Population-management heuristics derived from classical demography

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  • Karsten, Richard
  • Teismann, Holger
  • Vogels, Angela

Abstract

In classical demographic theory, reproductive value and stable age distribution are proportional to the sensitivities of the asymptotic population size to changes in mortality and maternity, respectively. In this note we point out that analogous relationships hold if the maternity function is allowed to depend on the population density. The relevant formulae can essentially be obtained by replacing the growth rate (“Lotka’s r†) with zero. These facts may be used to derive heuristics for population management (pest control).

Suggested Citation

  • Karsten, Richard & Teismann, Holger & Vogels, Angela, 2013. "Reproductive value, sensitivity, and nonlinearity: Population-management heuristics derived from classical demography," Theoretical Population Biology, Elsevier, vol. 85(C), pages 20-25.
    • Handle: RePEc:eee:thpobi:v:85:y:2013:i:c:p:20-25
    DOI: 10.1016/j.tpb.2013.01.002
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    References listed on IDEAS

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    1. Nathan Keyfitz, 1971. "On the momentum of population growth," Demography, Springer;Population Association of America (PAA), vol. 8(1), pages 71-80, February.
    2. Wrzaczek, Stefan & Kuhn, Michael & Prskawetz, Alexia & Feichtinger, Gustav, 2010. "The reproductive value in distributed optimal control models," Theoretical Population Biology, Elsevier, vol. 77(3), pages 164-170.
    3. Hal Caswell, 2010. "Reproductive value, the stable stage distribution, and the sensitivity of the population growth rate to changes in vital rates," Demographic Research, Max Planck Institute for Demographic Research, Rostock, Germany, vol. 23(19), pages 531-548.
    4. Hal Caswell, 2008. "Perturbation analysis of nonlinear matrix population models," Demographic Research, Max Planck Institute for Demographic Research, Rostock, Germany, vol. 18(3), pages 59-116.
    5. Ediev, Dalkhat M., 2010. "On the reproductive value and the spectrum of a population projection matrix with implications for dynamic population models," Theoretical Population Biology, Elsevier, vol. 78(2), pages 67-70.
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