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Linking the population growth rate and the age-at-death distribution

Author

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  • Schindler, Susanne
  • Tuljapurkar, Shripad
  • Gaillard, Jean-Michel
  • Coulson, Tim

Abstract

The population growth rate is linked to the distribution of age at death. We demonstrate that this link arises because both the birth and death rates depend on the variance of age-at-death. This bears the prospect to separate the influences of the age patterns of fertility and mortality on population growth rate. Here, we show how the age pattern of death affects population growth. Using this insight we derive a new approximation of the population growth rate that uses the first and second moments of the age-at-death distribution. We apply our new approximation to 46 mammalian life tables (including humans) and show that it is on par with the most prominent other approximations.

Suggested Citation

  • Schindler, Susanne & Tuljapurkar, Shripad & Gaillard, Jean-Michel & Coulson, Tim, 2012. "Linking the population growth rate and the age-at-death distribution," Theoretical Population Biology, Elsevier, vol. 82(4), pages 244-252.
  • Handle: RePEc:eee:thpobi:v:82:y:2012:i:4:p:244-252
    DOI: 10.1016/j.tpb.2012.09.003
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    References listed on IDEAS

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    1. James McCann, 1973. "A more accurate short method of approximating Lotka’s r," Demography, Springer;Population Association of America (PAA), vol. 10(4), pages 567-570, November.
    2. William Link & Evan Cooch & Emmanuelle Cam, 2002. "Model-based estimation of individual fitness," Journal of Applied Statistics, Taylor & Francis Journals, vol. 29(1-4), pages 207-224.
    3. repec:cai:popine:popu_p1969_24n5_0896 is not listed on IDEAS
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    Cited by:

    1. Duncan Gillespie & Meredith Trotter & Shripad Tuljapurkar, 2014. "Divergence in Age Patterns of Mortality Change Drives International Divergence in Lifespan Inequality," Demography, Springer;Population Association of America (PAA), vol. 51(3), pages 1003-1017, June.

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