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On the reproductive value and the spectrum of a population projection matrix with implications for dynamic population models

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  • Ediev, Dalkhat M.

Abstract

The eigenvalues of a population projection matrix–except for the Lotka coefficient–are uniquely determined by the reproductive values and the survival. This relation (proposed earlier, but not really well known in western literature) follows from another useful relation between fertility, reproductive values, survival, and Lotka’s coefficient. These results are applied to provide demographic interpretations to the intrinsically dynamic and metastable population models by Schoen and co-workers.

Suggested Citation

  • 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.
    • Handle: RePEc:eee:thpobi:v:78:y:2010:i:2:p:67-70
    DOI: 10.1016/j.tpb.2010.06.006
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    References listed on IDEAS

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    1. Robert Schoen & Stefan Jonsson, 2003. "Modeling momentum in gradual demographic," Demography, Springer;Population Association of America (PAA), vol. 40(4), pages 621-635, November.
    2. Dalkhat M. Ediev, 2008. "Robert Schoen (ed.): Dynamic Population Models," European Journal of Population, Springer;European Association for Population Studies, vol. 24(1), pages 119-124, March.
    3. Robert Schoen, 2005. "Intrinsically dynamic population models," Demographic Research, Max Planck Institute for Demographic Research, Rostock, Germany, vol. 12(3), pages 51-76.
    4. Young Kim & Robert Schoen, 1996. "Populations with quadratic exponential growth," Mathematical Population Studies, Taylor & Francis Journals, vol. 6(1), pages 19-33.
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    Cited by:

    1. 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.

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