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On the asymptotic equilibrium of a population system with migration

Author

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  • Pianese, Augusto
  • Attias, Anna
  • Bianchi, Sergio
  • Varga, Zoltàn

Abstract

In the analysis of economic and social issues of a country (or any larger or smaller socio-economic unit) the demographic dynamics of the considered population often play a crucial role. Very current emergencies in this respect are e.g. ageing, longevity risk, state-run healthcare etc. Over the last decade migration between EU countries also became an important issue, and in recent years the uncontrolled migration from non-EU countries is also a major concern. Therefore, the better theoretical understanding of the evolutionary mechanism of age-classified populations interacting via migration, is a timely modelling-methodological task. This paper is a preliminary demographic methodological contribution to a further research in support of socio-economic modelling and decision making concerning migration issues.

Suggested Citation

  • Pianese, Augusto & Attias, Anna & Bianchi, Sergio & Varga, Zoltàn, 2020. "On the asymptotic equilibrium of a population system with migration," Insurance: Mathematics and Economics, Elsevier, vol. 92(C), pages 115-127.
    • Handle: RePEc:eee:insuma:v:92:y:2020:i:c:p:115-127
    DOI: 10.1016/j.insmatheco.2020.03.005
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    References listed on IDEAS

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    1. David E. Bloom & David Canning & Günther Fink, 2010. "Implications of population ageing for economic growth," Oxford Review of Economic Policy, Oxford University Press and Oxford Review of Economic Policy Limited, vol. 26(4), pages 583-612, Winter.
    2. Fehr, Hans & Habermann, Christian, 2006. "Pension reform and demographic uncertainty: the case of Germany," Journal of Pension Economics and Finance, Cambridge University Press, vol. 5(1), pages 69-90, March.
    3. Attias, Anna & Arezzo, Maria Felice & Pianese, Augusto & Varga, Zoltan, 2016. "A comparison of two legislative approaches to the pay-as-you-go pension system in terms of adequacy. The Italian case," Insurance: Mathematics and Economics, Elsevier, vol. 68(C), pages 203-211.
    4. Heinrich Hock & David Weil, 2012. "On the dynamics of the age structure, dependency, and consumption," Journal of Population Economics, Springer;European Society for Population Economics, vol. 25(3), pages 1019-1043, July.
    5. Boumezoued, Alexandre & Hardy, Héloïse Labit & El Karoui, Nicole & Arnold, Séverine, 2018. "Cause-of-death mortality: What can be learned from population dynamics?," Insurance: Mathematics and Economics, Elsevier, vol. 78(C), pages 301-315.
    6. Hyndman, Rob J. & Booth, Heather, 2008. "Stochastic population forecasts using functional data models for mortality, fertility and migration," International Journal of Forecasting, Elsevier, vol. 24(3), pages 323-342.
    7. Andrei Rogers, 1966. "The multiregional matrix growth operator and the stable interregional age structure," Demography, Springer;Population Association of America (PAA), vol. 3(2), pages 537-544, June.
    8. Klaus Prettner, 2013. "Population aging and endogenous economic growth," Journal of Population Economics, Springer;European Society for Population Economics, vol. 26(2), pages 811-834, April.
    9. Nannestad, Peter, 2007. "Immigration and welfare states: A survey of 15 years of research," European Journal of Political Economy, Elsevier, vol. 23(2), pages 512-532, June.
    10. Angrisani, M., Attias, A., Bianchi, S. & Varga, Z., 2004. "Demographic dynamics for the pay-as-you-go pension system," Pure Mathematics and Applications, Department of Mathematics, Corvinus University of Budapest, vol. 15(4), pages 357-374.
    11. David Blake & Les Mayhew, 2006. "On The Sustainability of the UK State Pension System in the Light of Population Ageing and Declining Fertility," Economic Journal, Royal Economic Society, vol. 116(512), pages 286-305, June.
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    More about this item

    Keywords

    Demography of population systems; Migration of labour force; Equilibrium age distribution; Ageing; Old-age dependency ratio;
    All these keywords.

    JEL classification:

    • C63 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Computational Techniques
    • J11 - Labor and Demographic Economics - - Demographic Economics - - - Demographic Trends, Macroeconomic Effects, and Forecasts
    • J61 - Labor and Demographic Economics - - Mobility, Unemployment, Vacancies, and Immigrant Workers - - - Geographic Labor Mobility; Immigrant Workers

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