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Stationary populations with below-replacement fertility

Author

Listed:
  • Carl Schmertmann

    (Florida State University)

Abstract

With constant immigration flows, there are an uncountably infinite number of stationary populations for any below-replacement fertility schedule f and life table l. Each corresponds to a different pattern of age-specific annual immigrant inflows. This brief paper derives a general formula for the age structure of these populations, provides numerical examples using contemporary Austrian demographic data, and illustrates an application of the main relationship to the study of stationary dependency ratios.

Suggested Citation

  • Carl Schmertmann, 2012. "Stationary populations with below-replacement fertility," Demographic Research, Max Planck Institute for Demographic Research, Rostock, Germany, vol. 26(14), pages 319-330, April.
  • Handle: RePEc:dem:demres:v:26:y:2012:i:14
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    File URL: https://www.demographic-research.org/volumes/vol26/14/26-14.pdf
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    References listed on IDEAS

    as
    1. Zheng Wu & Nan Li, 2003. "Immigration and the dependency ratio of a host population," Mathematical Population Studies, Taylor & Francis Journals, vol. 10(1), pages 21-39.
    2. Thomas Espenshade & Leon Bouvier & W. Arthur, 1982. "Immigration and the stable population model," Demography, Springer;Population Association of America (PAA), vol. 19(1), pages 125-133, February.
    3. S. Mitra, 1990. "Immigration, below-replacement fertility, and long-term national population trends," Demography, Springer;Population Association of America (PAA), vol. 27(1), pages 121-129, February.
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    Citations

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    Cited by:

    1. Pflaumer, Peter, 1993. "Stationäre Bevölkerungen: Anwendungsmöglichkeiten finanzmathematischer und demographischer Methoden zur Analyse des Einflusses von Wanderungen auf die langfristige Bevölkerungsentwicklung," Discussion Papers, Series II 207, University of Konstanz, Collaborative Research Centre (SFB) 178 "Internationalization of the Economy".
    2. Frank T. Denton & Byron G. Spencer, 2005. "Population Aging and the Macroeconomy: Explorations in the Use of Immigration as an Instrument of Control," Quantitative Studies in Economics and Population Research Reports 398, McMaster University.
    3. Nick Parr & Ross Guest, 2014. "A method for socially evaluating the effects of long-run demographic paths on living standards," Demographic Research, Max Planck Institute for Demographic Research, Rostock, Germany, vol. 31(11), pages 275-318, July.
    4. Juha Alho, 2008. "Migration, fertility, and aging in stable populations," Demography, Springer;Population Association of America (PAA), vol. 45(3), pages 641-650, August.
    5. Robin Banerjee & William B.P. Robson, 2009. "Faster, Younger, Richer? The Fond Hope and Sobering Reality of Immigration's Impact on Canada's Demographic and Economic Future," C.D. Howe Institute Commentary, C.D. Howe Institute, issue 291, July.

    More about this item

    Keywords

    Austria; below-replacement fertility; dependency ratios; formal demography; immigration; stationary population;

    JEL classification:

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

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