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Optimal fertility under age-dependent labour productivity

Author

Listed:
  • Pierre Pestieau

    (CORE - Center of Operation Research and Econometrics [Louvain] - UCL - Université Catholique de Louvain = Catholic University of Louvain, PSE - Paris School of Economics - UP1 - Université Paris 1 Panthéon-Sorbonne - ENS-PSL - École normale supérieure - Paris - PSL - Université Paris Sciences et Lettres - EHESS - École des hautes études en sciences sociales - ENPC - École nationale des ponts et chaussées - CNRS - Centre National de la Recherche Scientifique - INRAE - Institut National de Recherche pour l’Agriculture, l’Alimentation et l’Environnement, PJSE - Paris Jourdan Sciences Economiques - UP1 - Université Paris 1 Panthéon-Sorbonne - ENS-PSL - École normale supérieure - Paris - PSL - Université Paris Sciences et Lettres - INRA - Institut National de la Recherche Agronomique - EHESS - École des hautes études en sciences sociales - ENPC - École nationale des ponts et chaussées - CNRS - Centre National de la Recherche Scientifique)

  • Grégory Ponthière

    (ERUDITE - Equipe de Recherche sur l’Utilisation des Données Individuelles en lien avec la Théorie Economique - UPEM - Université Paris-Est Marne-la-Vallée - UPEC UP12 - Université Paris-Est Créteil Val-de-Marne - Paris 12, PSE - Paris School of Economics - UP1 - Université Paris 1 Panthéon-Sorbonne - ENS-PSL - École normale supérieure - Paris - PSL - Université Paris Sciences et Lettres - EHESS - École des hautes études en sciences sociales - ENPC - École nationale des ponts et chaussées - CNRS - Centre National de la Recherche Scientifique - INRAE - Institut National de Recherche pour l’Agriculture, l’Alimentation et l’Environnement, PJSE - Paris Jourdan Sciences Economiques - UP1 - Université Paris 1 Panthéon-Sorbonne - ENS-PSL - École normale supérieure - Paris - PSL - Université Paris Sciences et Lettres - INRA - Institut National de la Recherche Agronomique - EHESS - École des hautes études en sciences sociales - ENPC - École nationale des ponts et chaussées - CNRS - Centre National de la Recherche Scientifique)

Abstract

In the so-called Rapport Sauvy (1962), the French demographer Alfred Sauvy argued that Wallonia's fertility rate was socially suboptimal, and recommended a 20 % rise of fertility, on the grounds that a society with too low a fertility leads to a low-productive economy composed of old workers having old ideas. This paper examines how Sauvy's intuition can be incorporated in the Samuelsonian optimal fertility model (Samuelson, Int Econ Rev 16:531–538, 1975). We build a four-period OLG model with physical capital and with two generations of workers (young and old), the skills of the latter being subject to some form of decay. We characterize the optimal fertility rate and show that this equalizes, at the margin, the sum of the capital dilution effect (Solow effect) and the labour age-composition effect (Sauvy effect) with the intergenerational redistribution effect (Samuelson effect). Numerical simulations show that it is hard, from a quantitative perspective, to reconcile Sauvy's recommendation with facts. This leads us to examine other potential determinants of optimal fertility, by introducing technological progress and a more general social welfare function.

Suggested Citation

  • Pierre Pestieau & Grégory Ponthière, 2017. "Optimal fertility under age-dependent labour productivity," Post-Print halshs-01513708, HAL.
    • Handle: RePEc:hal:journl:halshs-01513708
    DOI: 10.1007/s00148-016-0627-7
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    Cited by:

    1. Momota, Akira & Sakagami, Tomoya & Shibata, Akihisa, 2019. "Reexamination of the Serendipity Theorem from the stability viewpoint," Journal of Demographic Economics, Cambridge University Press, vol. 85(1), pages 43-70, March.
    2. Gregory Ponthiere, 2020. "A theory of reverse retirement," Journal of Public Economic Theory, Association for Public Economic Theory, vol. 22(5), pages 1618-1659, September.
    3. Gori, Luca & Manfredi, Piero & Sodini, Mauro, 2021. "A Parsimonious Model Of Longevity, Fertility, Hiv Transmission And Development," Macroeconomic Dynamics, Cambridge University Press, vol. 25(5), pages 1155-1174, July.
    4. Thomas Davoine, 2026. "Cross‐country differences in the long‐run economic impacts of increased fertility," Scandinavian Journal of Economics, Wiley Blackwell, vol. 128(1), pages 104-151, January.
    5. Shiyu Li & Shuanglin Lin, 2024. "Social security reforms, capital accumulation, and welfare: A notional defined contribution system vs a modified PAYG system," Journal of Population Economics, Springer;European Society for Population Economics, vol. 37(1), pages 1-34, March.
    6. Kazutoshi Miyazawa, 2021. "Elderly empowerment, fertility, and public pensions," International Tax and Public Finance, Springer;International Institute of Public Finance, vol. 28(4), pages 941-964, August.

    More about this item

    Keywords

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    JEL classification:

    • E13 - Macroeconomics and Monetary Economics - - General Aggregative Models - - - Neoclassical
    • E21 - Macroeconomics and Monetary Economics - - Consumption, Saving, Production, Employment, and Investment - - - Consumption; Saving; Wealth
    • H13 - Public Economics - - Structure and Scope of Government - - - Economics of Eminent Domain; Expropriation; Nationalization
    • J24 - Labor and Demographic Economics - - Demand and Supply of Labor - - - Human Capital; Skills; Occupational Choice; Labor Productivity

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