IDEAS home Printed from https://ideas.repec.org/a/spr/jopoec/v33y2020i3d10.1007_s00148-019-00762-5.html
   My bibliography  Save this article

Endogenous education and the reversal in the relationship between fertility and economic growth

Author

Listed:
  • Alberto Bucci

    (University of Milan
    CEIS (Centre for Economic and International Studies), University of Rome-‘Tor Vergata’
    RCEA (Rimini Centre for Economic Analysis), Wilfrid Laurier University)

  • Klaus Prettner

    (University of Hohenheim)

Abstract

To reconcile the predictions of research and development (R&D)-based growth theory regarding the impact of population growth on productivity growth with the available empirical evidence, we propose a tractable, continuous-time, multisector, R&D-based growth model with endogenous education and endogenous fertility. As long as the human capital dilution effect is sufficiently weak, faster population growth may lead to faster aggregate human capital accumulation, to faster technological progress, and, thus, to a higher growth rate of productivity. By contrast, when the human capital dilution effect becomes sufficiently strong, faster population growth slows down aggregate human capital accumulation, dampens the rate of technical change, and, thus, reduces productivity growth. Therefore, the model can account for the possibly negative correlation between population growth and productivity growth in R&D-based growth models depending on the strength of the human capital dilution effect.

Suggested Citation

  • Alberto Bucci & Klaus Prettner, 2020. "Endogenous education and the reversal in the relationship between fertility and economic growth," Journal of Population Economics, Springer;European Society for Population Economics, vol. 33(3), pages 1025-1068, July.
    • Handle: RePEc:spr:jopoec:v:33:y:2020:i:3:d:10.1007_s00148-019-00762-5
    DOI: 10.1007/s00148-019-00762-5
    as

    Download full text from publisher

    File URL: http://link.springer.com/10.1007/s00148-019-00762-5
    File Function: Abstract
    Download Restriction: Access to the full text of the articles in this series is restricted.
    File URL: https://libkey.io/10.1007/s00148-019-00762-5?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. Benassy, Jean-Pascal, 1998. "Is there always too little research in endogenous growth with expanding product variety?," European Economic Review, Elsevier, vol. 42(1), pages 61-69, January.
    3. Hongbin Li & Junsen Zhang, 2007. "Do High Birth Rates Hamper Economic Growth?," The Review of Economics and Statistics, MIT Press, vol. 89(1), pages 110-117, February.
    4. Dierk Herzer & Holger Strulik & Sebastian Vollmer, 2012. "The long-run determinants of fertility: one century of demographic change 1900–1999," Journal of Economic Growth, Springer, vol. 17(4), pages 357-385, December.
    5. Devereux, Michael B & Head, Allen C & Lapham, Beverly J, 1996. "Monopolistic Competition, Increasing Returns, and the Effects of Government Spending," Journal of Money, Credit and Banking, Blackwell Publishing, vol. 28(2), pages 233-254, May.
    6. Gary S. Becker & Kevin M. Murphy & Robert Tamura, 1994. "Human Capital, Fertility, and Economic Growth," NBER Chapters, in: Human Capital: A Theoretical and Empirical Analysis with Special Reference to Education, Third Edition, pages 323-350, National Bureau of Economic Research, Inc.
    7. Holger Strulik & Klaus Prettner & Alexia Prskawetz, 2013. "The past and future of knowledge-based growth," Journal of Economic Growth, Springer, vol. 18(4), pages 411-437, December.
    8. Aghion, Philippe & Howitt, Peter, 1992. "A Model of Growth through Creative Destruction," Econometrica, Econometric Society, vol. 60(2), pages 323-351, March.
    9. Alberto Bucci & Xavier Raurich, 2017. "Population and Economic Growth Under Different Growth Engines," German Economic Review, Verein für Socialpolitik, vol. 18(2), pages 182-211, May.
    10. Burkhauser, Richard V. & Larrimore, Jeff & Simon, Kosali I., 2012. "A "Second Opinion" on the Economic Health of the American Middle Class," National Tax Journal, National Tax Association;National Tax Journal, vol. 65(1), pages 7-32, March.
    11. Giam Cipriani, 2014. "Population aging and PAYG pensions in the OLG model," Journal of Population Economics, Springer;European Society for Population Economics, vol. 27(1), pages 251-256, January.
    12. Ken-ichi Hashimoto & Ken Tabata, 2016. "Demographic change, human capital accumulation and R&D-based growth," Canadian Journal of Economics, Canadian Economics Association, vol. 49(2), pages 707-737, May.
    13. Luciano Fanti & Luca Gori, 2014. "Endogenous fertility, endogenous lifetime and economic growth: the role of child policies," Journal of Population Economics, Springer;European Society for Population Economics, vol. 27(2), pages 529-564, April.
    14. Bloom, David E. & Canning, David & Mansfield, Richard K. & Moore, Michael, 2007. "Demographic change, social security systems, and savings," Journal of Monetary Economics, Elsevier, vol. 54(1), pages 92-114, January.
    15. Oded Galor, 2011. "Unified Growth Theory," Economics Books, Princeton University Press, edition 1, number 9477.
    16. Matthias Doepke, 2005. "Child mortality and fertility decline: Does the Barro-Becker model fit the facts?," Journal of Population Economics, Springer;European Society for Population Economics, vol. 18(2), pages 337-366, June.
    17. Devereux, Michael B. & Head, Allen C. & Lapham, Beverly J., 1996. "Aggregate fluctuations with increasing returns to specialization and scale," Journal of Economic Dynamics and Control, Elsevier, vol. 20(4), pages 627-656, April.
    18. George Psacharopoulos & Harry Anthony Patrinos, 2018. "Returns to investment in education: a decennial review of the global literature," Education Economics, Taylor & Francis Journals, vol. 26(5), pages 445-458, September.
    19. Michael B. Devereux & Allen C. Head & Beverly J. Lapham, 2000. "Government Spending and Welfare with Returns to Specialization," Scandinavian Journal of Economics, Wiley Blackwell, vol. 102(4), pages 547-561, December.
    20. Avner Ahituv, 2001. "Be fruitful or multiply: On the interplay between fertility and economic development," Journal of Population Economics, Springer;European Society for Population Economics, vol. 14(1), pages 51-71.
    21. Cipriani, Giam Pietro, 2018. "Aging, Retirement, And Pay-As-You-Go Pensions," Macroeconomic Dynamics, Cambridge University Press, vol. 22(5), pages 1173-1183, July.
    22. Pascal Bressoux & Francis Kramarz & Corinne Prost, 2009. "Teachers' Training, Class Size and Students' Outcomes: Learning from Administrative Forecasting Mistakes," Economic Journal, Royal Economic Society, vol. 119(536), pages 540-561, March.
    23. Philip A. Trostel, 2004. "Returns to scale in producing human capital from schooling," Oxford Economic Papers, Oxford University Press, vol. 56(3), pages 461-484, July.
    24. Brent Neiman, 2014. "The Global Decline of the Labor Share," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 129(1), pages 61-103.
    25. Kuhn, Michael & Wrzaczek, Stefan & Prskawetz, Alexia & Feichtinger, Gustav, 2015. "Optimal choice of health and retirement in a life-cycle model," Journal of Economic Theory, Elsevier, vol. 158(PA), pages 186-212.
    26. Jones, Charles I., 2005. "Growth and Ideas," Handbook of Economic Growth, in: Philippe Aghion & Steven Durlauf (ed.), Handbook of Economic Growth, edition 1, volume 1, chapter 16, pages 1063-1111, Elsevier.
    27. Segerstrom, Paul S, 1998. "Endogenous Growth without Scale Effects," American Economic Review, American Economic Association, vol. 88(5), pages 1290-1310, December.
    28. Angus Chu & Guido Cozzi & Chih-Hsing Liao, 2013. "Endogenous fertility and human capital in a Schumpeterian growth model," Journal of Population Economics, Springer;European Society for Population Economics, vol. 26(1), pages 181-202, January.
    29. Abeliansky, Ana Lucia & Prettner, Klaus, 2017. "Automation and demographic change," VfS Annual Conference 2017 (Vienna): Alternative Structures for Money and Banking 168215, Verein für Socialpolitik / German Economic Association.
    30. Jones, Charles I, 1995. "R&D-Based Models of Economic Growth," Journal of Political Economy, University of Chicago Press, vol. 103(4), pages 759-784, August.
    31. Peretto, Pietro F, 1998. "Technological Change and Population Growth," Journal of Economic Growth, Springer, vol. 3(4), pages 283-311, December.
    32. Klaus Prettner & David Canning, 2014. "Increasing life expectancy and optimal retirement in general equilibrium," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 56(1), pages 191-217, May.
    33. Oded_Galor, 2004. "From Stagnation to Growth:Unified Growth Theory," Working Papers 2004-15, Brown University, Department of Economics.
    34. David N. Weil & Oded Galor, 2000. "Population, Technology, and Growth: From Malthusian Stagnation to the Demographic Transition and Beyond," American Economic Review, American Economic Association, vol. 90(4), pages 806-828, September.
    35. Galor, Oded, 2005. "From Stagnation to Growth: Unified Growth Theory," Handbook of Economic Growth, in: Philippe Aghion & Steven Durlauf (ed.), Handbook of Economic Growth, edition 1, volume 1, chapter 4, pages 171-293, Elsevier.
    36. Joonkyung Ha & Peter Howitt, 2007. "Accounting for Trends in Productivity and R&D: A Schumpeterian Critique of Semi-Endogenous Growth Theory," Journal of Money, Credit and Banking, Blackwell Publishing, vol. 39(4), pages 733-774, June.
    37. Allen Kelley & Robert Schmidt, 1995. "Aggregate population and economic growth correlations: The role of the components of demographic change," Demography, Springer;Population Association of America (PAA), vol. 32(4), pages 543-555, November.
    38. Samuel S. Kortum, 1997. "Research, Patenting, and Technological Change," Econometrica, Econometric Society, vol. 65(6), pages 1389-1420, November.
    39. Dalgaard, Carl-Johan & Kreiner, Claus Thustrup, 2001. "Is Declining Productivity Inevitable?," Journal of Economic Growth, Springer, vol. 6(3), pages 187-203, September.
    40. Oded Galor, 2011. "Unified Growth Theory and Comparative Development," Rivista di Politica Economica, SIPI Spa, issue 2, pages 9-21, April-Jun.
    41. Kelley, Allen C. & Schmidt, Robert M., 1995. "Aggregate Population and Economic Growth Correlations: The Role of the Components of Demographic Change," Working Papers 95-37, Duke University, Department of Economics.
    42. Kalemli-Ozcan, Sebnem, 2003. "A stochastic model of mortality, fertility, and human capital investment," Journal of Development Economics, Elsevier, vol. 70(1), pages 103-118, February.
    43. Paul Segerstrom & Elias Dinopoulos, 1999. "A Schumpeterian Model of Protection and Relative Wages," American Economic Review, American Economic Association, vol. 89(3), pages 450-472, June.
    44. Gary S. Becker, 1960. "An Economic Analysis of Fertility," NBER Chapters, in: Demographic and Economic Change in Developed Countries, pages 209-240, National Bureau of Economic Research, Inc.
    45. Peter Howitt, 1999. "Steady Endogenous Growth with Population and R & D Inputs Growing," Journal of Political Economy, University of Chicago Press, vol. 107(4), pages 715-730, August.
    46. Bucci, Alberto, 2008. "Population growth in a model of economic growth with human capital accumulation and horizontal R&D," Journal of Macroeconomics, Elsevier, vol. 30(3), pages 1124-1147, September.
    47. Bucci, Alberto, 2013. "Returns to specialization, competition, population, and growth," Journal of Economic Dynamics and Control, Elsevier, vol. 37(10), pages 2023-2040.
    48. Alberto Bucci, 2015. "Product Proliferation, Population, and Economic Growth," Journal of Human Capital, University of Chicago Press, vol. 9(2), pages 170-197.
    49. Holger Strulik, 2005. "The Role of Human Capital and Population Growth in R&D‐based Models of Economic Growth," Review of International Economics, Wiley Blackwell, vol. 13(1), pages 129-145, February.
    50. Philippe Aghion & Steven Durlauf (ed.), 2005. "Handbook of Economic Growth," Handbook of Economic Growth, Elsevier, edition 1, volume 1, number 1.
    51. Ethier, Wilfred J, 1982. "National and International Returns to Scale in the Modern Theory of International Trade," American Economic Review, American Economic Association, vol. 72(3), pages 389-405, June.
    52. Prettner, Klaus, 2014. "The non-monotonous impact of population growth on economic prosperity," Economics Letters, Elsevier, vol. 124(1), pages 93-95.
    53. Alessandro Cigno, 1998. "Fertility decisions when infant survival is endogenous," Journal of Population Economics, Springer;European Society for Population Economics, vol. 11(1), pages 21-28.
    54. Romer, Paul M, 1987. "Growth Based on Increasing Returns Due to Specialization," American Economic Review, American Economic Association, vol. 77(2), pages 56-62, May.
    55. Lucas, Robert Jr., 1988. "On the mechanics of economic development," Journal of Monetary Economics, Elsevier, vol. 22(1), pages 3-42, July.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Gibogwe, Vincent & Nigo, Ayine & Kufuor, Karen, 2022. "FDI and economic growth in SADC region," MPRA Paper 115029, University Library of Munich, Germany, revised 29 Sep 2022.
    2. Davis, Colin & Hashimoto, Ken-ichi & Tabata, Ken, 2022. "Demographic structure, knowledge diffusion, and endogenous productivity growth," Journal of Macroeconomics, Elsevier, vol. 71(C).
    3. Nguyen Thang Dao & Julio Dávila & Angela Greulich, 2021. "The education gender gap and the demographic transition in developing countries," Journal of Population Economics, Springer;European Society for Population Economics, vol. 34(2), pages 431-474, April.
    4. David E. Bloom & Alex Khoury & Vadim Kufenko & Klaus Prettner, 2021. "Spurring Economic Growth through Human Development: Research Results and Guidance for Policymakers," Population and Development Review, The Population Council, Inc., vol. 47(2), pages 377-409, June.
    5. Lehmann-Hasemeyer, Sibylle & Prettner, Klaus & Tscheuschner, Paul, 2023. "The scientific revolution and its implications for long-run economic development," World Development, Elsevier, vol. 168(C).
    6. Abebe HAILEMARIAM, 2024. "Income and differential fertility: evidence from oil price shocks," JODE - Journal of Demographic Economics, Cambridge University Press, vol. 90(1), pages 31-54, March.
    7. Boikos, Spyridon & Bucci, Alberto & Stengos, Thanasis, 2022. "Leisure and innovation in horizontal R&D-based growth," Economic Modelling, Elsevier, vol. 107(C).
    8. Duong, Khanh & Nguyen Phuc Van, 2023. "Innovation and Globalization: Benefactors or Barriers to Inclusive Growth?," GLO Discussion Paper Series 1357, Global Labor Organization (GLO).
    9. Bucci, Alberto, 2023. "Can a negative population growth rate sustain a positive economic growth rate in the long run?," Mathematical Social Sciences, Elsevier, vol. 122(C), pages 17-28.
    10. Million Phiri & Liness Shasha & Emmanuel Musonda & Mikidadi Muhanga & Musonda Lemba, 2023. "Choice of desired family size among young women in Zambia: what matters?," Journal of Population Research, Springer, vol. 40(3), pages 1-18, September.
    11. Luca Spinesi, 2022. "The Environmental Tax: Effects on Inequality and Growth," Environmental & Resource Economics, Springer;European Association of Environmental and Resource Economists, vol. 82(3), pages 529-572, July.
    12. Jisoo Hwang & Seok Ki Kim, 2023. "Unexpected longevity, intergenerational policies, and fertility," Journal of Population Economics, Springer;European Society for Population Economics, vol. 36(3), pages 1607-1640, July.
    13. Qiling Lu & Jing Hua, 2023. "Micro-Household Human Capital Investment Decisions and a Simulation Study from the Intergenerational Conflict Perspective," IJERPH, MDPI, vol. 20(3), pages 1-21, January.

    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. Bucci, Alberto & Eraydın, Levent & Müller, Moritz, 2019. "Dilution effects, population growth and economic growth under human capital accumulation and endogenous technological change," Journal of Macroeconomics, Elsevier, vol. 62(C).
    2. Holger Strulik & Klaus Prettner & Alexia Prskawetz, 2013. "The past and future of knowledge-based growth," Journal of Economic Growth, Springer, vol. 18(4), pages 411-437, December.
    3. Lehmann-Hasemeyer, Sibylle & Prettner, Klaus & Tscheuschner, Paul, 2023. "The scientific revolution and its implications for long-run economic development," World Development, Elsevier, vol. 168(C).
    4. Werner, Katharina & Prettner, Klaus, 2014. "Human capital, basic research, and applied research: three dimensions of human knowledge and their differential growth effects," VfS Annual Conference 2014 (Hamburg): Evidence-based Economic Policy 100448, Verein für Socialpolitik / German Economic Association.
    5. Prettner, Klaus & Werner, Katharina, 2016. "Why it pays off to pay us well: The impact of basic research on economic growth and welfare," Research Policy, Elsevier, vol. 45(5), pages 1075-1090.
    6. Boikos, Spyridon & Bucci, Alberto & Stengos, Thanasis, 2022. "Leisure and innovation in horizontal R&D-based growth," Economic Modelling, Elsevier, vol. 107(C).
    7. repec:got:cegedp:140 is not listed on IDEAS
    8. Strulik, Holger & Prettner, Klaus & Prskawetz, Alexia, 2010. "R\&D-based Growth in the Post-modern Era," Hannover Economic Papers (HEP) dp-457, Leibniz Universität Hannover, Wirtschaftswissenschaftliche Fakultät.
    9. Luca Spinesi, 2022. "The Environmental Tax: Effects on Inequality and Growth," Environmental & Resource Economics, Springer;European Association of Environmental and Resource Economists, vol. 82(3), pages 529-572, July.
    10. Bharat Diwakar & Gilad Sorek, 2016. "Human-Capital Spillover, Population, and Economic Growth," Auburn Economics Working Paper Series auwp2016-02, Department of Economics, Auburn University.
    11. Ziesemer, Thomas, 2019. "Can we have growth when population is stagnant? Testing linear growth rate formulas and their cross-unit cointegration of non-scale endogenous growth models," MERIT Working Papers 2019-021, United Nations University - Maastricht Economic and Social Research Institute on Innovation and Technology (MERIT).
    12. Annarita BALDANZI & Alberto BUCCI & Klaus PRETTNER, 2016. "The Effects of Health Investments on Human Capital and R&D-Driven Economic Growth," Departmental Working Papers 2016-17, Department of Economics, Management and Quantitative Methods at Università degli Studi di Milano.
    13. Lehmann-Hasemeyer, Sibylle H. & Prettner, Klaus & Tscheuschner, Paul, 2020. "The scientific revolution and its role in the transition to sustained economic growth," Hohenheim Discussion Papers in Business, Economics and Social Sciences 06-2020, University of Hohenheim, Faculty of Business, Economics and Social Sciences.
    14. Ken-ichi Hashimoto & Ken Tabata, 2013. "Rising Longevity, Human Capital and Fertility in Overlapping Generations Version of an R&D-based Growth Model," Discussion Paper Series 104, School of Economics, Kwansei Gakuin University, revised May 2013.
    15. Prettner, Klaus & Strulik, Holger, 2017. "The lost race against the machine: Automation, education and inequality in an R&D-based growth model," Hohenheim Discussion Papers in Business, Economics and Social Sciences 08-2017, University of Hohenheim, Faculty of Business, Economics and Social Sciences.
    16. Klaus Prettner, 2012. "Public education, technological change and economic prosperity: semi-endogenous growth revisited," PGDA Working Papers 9012, Program on the Global Demography of Aging.
    17. Baldanzi, Annarita & Bucci, Alberto & Prettner, Klaus, 2021. "Children’S Health, Human Capital Accumulation, And R&D-Based Economic Growth," Macroeconomic Dynamics, Cambridge University Press, vol. 25(3), pages 651-668, April.
    18. Thomas H.W. Ziesemer, 2020. "Can we have growth when population is stagnant? Testing linear growth rate formulas of non-scale endogenous growth models," Applied Economics, Taylor & Francis Journals, vol. 52(13), pages 1502-1516, March.
    19. David E. Bloom & Alex Khoury & Vadim Kufenko & Klaus Prettner, 2021. "Spurring Economic Growth through Human Development: Research Results and Guidance for Policymakers," Population and Development Review, The Population Council, Inc., vol. 47(2), pages 377-409, June.
    20. Prettner, Klaus, 2016. "The implications of automation for economic growth and the labor share of income," ECON WPS - Working Papers in Economic Theory and Policy 04/2016, TU Wien, Institute of Statistics and Mathematical Methods in Economics, Economics Research Unit.
    21. Thomas I. Renström & Luca Spataro, 2015. "Population Growth and Human Capital: A Welfarist Approach," Manchester School, University of Manchester, vol. 83, pages 110-141, December.

    More about this item

    Keywords

    Human capital; Endogenous fertility; R&D-driven productivity growth; Non-monotonic growth effects of fertility;
    All these keywords.

    JEL classification:

    • I25 - Health, Education, and Welfare - - Education - - - Education and Economic Development
    • J13 - Labor and Demographic Economics - - Demographic Economics - - - Fertility; Family Planning; Child Care; Children; Youth
    • O30 - Economic Development, Innovation, Technological Change, and Growth - - Innovation; Research and Development; Technological Change; Intellectual Property Rights - - - General
    • O41 - Economic Development, Innovation, Technological Change, and Growth - - Economic Growth and Aggregate Productivity - - - One, Two, and Multisector Growth Models

    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:spr:jopoec:v:33:y:2020:i:3:d:10.1007_s00148-019-00762-5. 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: Sonal Shukla or Springer Nature Abstracting and Indexing (email available below). General contact details of provider: http://www.springer.com .

    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.