IDEAS home Printed from https://ideas.repec.org/a/eee/insuma/v92y2020icp115-127.html
   My bibliography  Save this article

On the asymptotic equilibrium of a population system with migration

Author

Listed:
  • 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
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0167668720300329
    Download Restriction: Full text for ScienceDirect subscribers only

    File URL: https://libkey.io/10.1016/j.insmatheco.2020.03.005?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    References listed on IDEAS

    as
    1. 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.
    2. 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.
    3. 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.
    4. 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.
    5. 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.
    6. 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.
    7. 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.
    8. 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.
    9. 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.
    10. 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.
    11. 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.
    Full references (including those not matched with items on IDEAS)

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. María del Carmen Ramos-Herrera & Simón Sosvilla-Rivero, 2020. "Fiscal Sustainability in Aging Societies: Evidence from Euro Area Countries," Sustainability, MDPI, vol. 12(24), pages 1-20, December.
    2. Mamun, Shamsul Arifeen Khan & Rahman, Mohammad Mafizur & Khanam, Rasheda, 2020. "The relation between an ageing population and economic growth in Bangladesh: Evidence from an endogenous growth model," Economic Analysis and Policy, Elsevier, vol. 66(C), pages 14-25.
    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. Renuga Nagarajan & Aurora A.C. Teixeira & Sandra T. Silva, 2013. "The impact of an ageing population on economic growth: an exploratory review of the main mechanisms," FEP Working Papers 504, Universidade do Porto, Faculdade de Economia do Porto.
    5. Yingzhu Yang & Rong Zheng & Lexiang Zhao, 2021. "Population Aging, Health Investment and Economic Growth: Based on a Cross-Country Panel Data Analysis," IJERPH, MDPI, vol. 18(4), pages 1-16, February.
    6. Lee, R., 2016. "Macroeconomics, Aging, and Growth," Handbook of the Economics of Population Aging, in: Piggott, John & Woodland, Alan (ed.), Handbook of the Economics of Population Aging, edition 1, volume 1, chapter 0, pages 59-118, Elsevier.
    7. Davis, Colin & Hashimoto, Ken-ichi & Tabata, Ken, 2022. "Demographic structure, knowledge diffusion, and endogenous productivity growth," Journal of Macroeconomics, Elsevier, vol. 71(C).
    8. 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.
    9. Katarzyna Maj-Waśniowska & Tomasz Jedynak, 2020. "The Issues and Challenges of Local Government Units in the Era of Population Ageing," Administrative Sciences, MDPI, vol. 10(2), pages 1-23, June.
    10. Wen-Hsin Huang & Yen-Ju Lin & Hsien-Feng Lee, 2019. "Impact of Population and Workforce Aging on Economic Growth: Case Study of Taiwan," Sustainability, MDPI, vol. 11(22), pages 1-13, November.
    11. Gehringer, Agnieszka & Prettner, Klaus, 2019. "Longevity And Technological Change," Macroeconomic Dynamics, Cambridge University Press, vol. 23(4), pages 1471-1503, June.
    12. Mateo Zokalj, 2016. "The impact of population aging on public finance in the European Union," Financial Theory and Practice, Institute of Public Finance, vol. 40(4), pages 383-412.
    13. Michael Kuhn & Klaus Prettner, 2023. "Rising Longevity, Increasing the Retirement Age, and the Consequences for Knowledge‐based Long‐run Growth," Economica, London School of Economics and Political Science, vol. 90(357), pages 39-64, January.
    14. Alonso-García, Jennifer & Devolder, Pierre, 2019. "Continuous time model for notional defined contribution pension schemes: Liquidity and solvency," Insurance: Mathematics and Economics, Elsevier, vol. 88(C), pages 57-76.
    15. Perugini, Francesco, 2024. "Local government efficiency and economic growth: The Italian case," Socio-Economic Planning Sciences, Elsevier, vol. 91(C).
    16. De-Lei Sheng & Linfeng Shi & Danping Li & Yanping Zhao, 2022. "Manage Pension Deficit with Heterogeneous Insurance," Methodology and Computing in Applied Probability, Springer, vol. 24(2), pages 1119-1141, June.
    17. repec:got:cegedp:139 is not listed on IDEAS
    18. Annarita Baldanzi & Klaus Prettner & Paul Tscheuschner, 2019. "Longevity-induced vertical innovation and the tradeoff between life and growth," Journal of Population Economics, Springer;European Society for Population Economics, vol. 32(4), pages 1293-1313, October.
    19. James Liang & Hui Wang & Edward P. Lazear, 2018. "Demographics and Entrepreneurship," Journal of Political Economy, University of Chicago Press, vol. 126(S1), pages 140-196.
    20. Prettner, Klaus & Trimborn, Timo, 2012. "Demographic change and R&D-based economic growth: Reconciling theory and evidence," University of Göttingen Working Papers in Economics 139, University of Goettingen, Department of Economics.
    21. Michael Kuhn & Klaus Prettner, 2015. "Population Structure and Consumption Growth: Evidence from National Transfer Accounts," VID Working Papers 1503, Vienna Institute of Demography (VID) of the Austrian Academy of Sciences in Vienna.

    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

    Statistics

    Access and download statistics

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:eee:insuma:v:92:y:2020:i:c:p:115-127. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Catherine Liu (email available below). General contact details of provider: http://www.elsevier.com/locate/inca/505554 .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.