IDEAS home Printed from https://ideas.repec.org/a/spr/jopoec/v27y2014i3p857-894.html
   My bibliography  Save this article

Capital accumulation and the sources of demographic change

Author

Listed:
  • Jochen Mierau
  • Stephen Turnovsky

Abstract

We develop a neoclassical growth model having a realistic demographic structure. We identify the critical channel of impact to be the intertemporal consumption allocation decision through the “generational turnover term”. Expressing the aggregate dynamics as a generalization of the conventional neoclassical growth model provides important insights, enabling us to view in a unified way how alternative demographic structures impinge on the macrodynamic equilibrium. Using an approximation to the generational turnover term, we are able to characterize both the steady state and the local transitional dynamics. Through numerical simulations, we analyze the steady state as well as the transitional effects of structural and demographic changes. Copyright Springer-Verlag Berlin Heidelberg 2014

Suggested Citation

  • Jochen Mierau & Stephen Turnovsky, 2014. "Capital accumulation and the sources of demographic change," Journal of Population Economics, Springer;European Society for Population Economics, vol. 27(3), pages 857-894, July.
  • Handle: RePEc:spr:jopoec:v:27:y:2014:i:3:p:857-894
    DOI: 10.1007/s00148-013-0479-3
    as

    Download full text from publisher

    File URL: http://hdl.handle.net/10.1007/s00148-013-0479-3
    Download Restriction: Access to full text is restricted to subscribers.

    File URL: https://libkey.io/10.1007/s00148-013-0479-3?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. Romer, Paul M, 1986. "Increasing Returns and Long-run Growth," Journal of Political Economy, University of Chicago Press, vol. 94(5), pages 1002-1037, October.
    2. Hippolyte d'Albis & Emmanuelle Augeraud-véron, 2009. "Competitive Growth In A Life-Cycle Model: Existence And Dynamics," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 50(2), pages 459-484, May.
    3. Krueger, Dirk & Ludwig, Alexander, 2007. "On the consequences of demographic change for rates of returns to capital, and the distribution of wealth and welfare," Journal of Monetary Economics, Elsevier, vol. 54(1), pages 49-87, January.
    4. Fair, Ray C & Dominguez, Kathryn M, 1991. "Effects of the Changing U.S. Age Distribution on Macroeconomic Equations," American Economic Review, American Economic Association, vol. 81(5), pages 1276-1294, December.
    5. Matthias Doepke, 2004. "Accounting for Fertility Decline During the Transition to Growth," Journal of Economic Growth, Springer, vol. 9(3), pages 347-383, September.
    6. Holger Strulik & Sebastian Vollmer, 2013. "Long-run trends of human aging and longevity," Journal of Population Economics, Springer;European Society for Population Economics, vol. 26(4), pages 1303-1323, October.
    7. Paul A. Samuelson, 1958. "An Exact Consumption-Loan Model of Interest with or without the Social Contrivance of Money," Journal of Political Economy, University of Chicago Press, vol. 66, pages 467-467.
    8. Rodrigo R. Soares, 2005. "Mortality Reductions, Educational Attainment, and Fertility Choice," American Economic Review, American Economic Association, vol. 95(3), pages 580-601, June.
    9. 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.
    10. Ben J. Heijdra & Ward E. Romp, 2008. "A life-cycle overlapping-generations model of the small open economy," Oxford Economic Papers, Oxford University Press, vol. 60(1), pages 88-121, January.
    11. Clifford L.F. Attfield & Edmund Cannon, 2003. "The Impact of Age Distribution Variables on the Long Run Consumption Function," Bristol Economics Discussion Papers 03/546, School of Economics, University of Bristol, UK.
    12. Edmond, Chris, 2008. "An integral equation representation for overlapping generations in continuous time," Journal of Economic Theory, Elsevier, vol. 143(1), pages 596-609, November.
    13. d'Albis, Hippolyte, 2007. "Demographic structure and capital accumulation," Journal of Economic Theory, Elsevier, vol. 132(1), pages 411-434, January.
    14. Hamid Faruqee, 2003. "Debt, Deficits, and Age-specific Mortality," Review of Economic Dynamics, Elsevier for the Society for Economic Dynamics, vol. 6(2), pages 300-312, April.
    15. Kelley, Allen C, 1988. "Economic Consequences of Population Change in the Third World," Journal of Economic Literature, American Economic Association, vol. 26(4), pages 1685-1728, December.
    16. 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.
    17. Gan, Zhuojiong & Lau, Sau-Him Paul, 2010. "Demographic structure and overlapping generations: A simpler proof with more general conditions," Journal of Mathematical Economics, Elsevier, vol. 46(3), pages 311-319, May.
    18. Antoine Bommier & Ronald D. Lee, 2003. "Overlapping generations models with realistic demography," Journal of Population Economics, Springer;European Society for Population Economics, vol. 16(1), pages 135-160, February.
    19. May, Josef, 1970. "Period analysis and continuous analysis in Patinkin's macroeconomic model," Journal of Economic Theory, Elsevier, vol. 2(1), pages 1-9, March.
    20. Weil, Philippe, 1989. "Overlapping families of infinitely-lived agents," Journal of Public Economics, Elsevier, vol. 38(2), pages 183-198, March.
    21. Guvenen, Fatih, 2006. "Reconciling conflicting evidence on the elasticity of intertemporal substitution: A macroeconomic perspective," Journal of Monetary Economics, Elsevier, vol. 53(7), pages 1451-1472, October.
    22. Boucekkine, Raouf & de la Croix, David & Licandro, Omar, 2002. "Vintage Human Capital, Demographic Trends, and Endogenous Growth," Journal of Economic Theory, Elsevier, vol. 104(2), pages 340-375, June.
    23. Gary S. Becker & Robert J. Barro, 1988. "A Reformulation of the Economic Theory of Fertility," The Quarterly Journal of Economics, Oxford University Press, vol. 103(1), pages 1-25.
    24. Lau, Sau-Him Paul, 2009. "Demographic structure and capital accumulation: A quantitative assessment," Journal of Economic Dynamics and Control, Elsevier, vol. 33(3), pages 554-567, March.
    25. 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.
    26. Docquier, Frederic & Michel, Philippe, 1999. " Education Subsidies, Social Security and Growth: The Implications of a Demographic Shock," Scandinavian Journal of Economics, Wiley Blackwell, vol. 101(3), pages 425-440, September.
    27. Heijdra, Ben J. & Ligthart, Jenny E., 2006. "The Macroeconomic Dynamics Of Demographic Shocks," Macroeconomic Dynamics, Cambridge University Press, vol. 10(3), pages 349-370, June.
    28. Buiter, Willem H, 1988. "Death, Birth, Productivity Growth and Debt Neutrality," Economic Journal, Royal Economic Society, vol. 98(391), pages 279-293, June.
    29. 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.
    30. 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.
    31. Dimitrios Varvarigos & Intan Zakaria, 2013. "Endogenous fertility in a growth model with public and private health expenditures," Journal of Population Economics, Springer;European Society for Population Economics, vol. 26(1), pages 67-85, January.
    32. Gary S. Becker, 1981. "A Treatise on the Family," NBER Books, National Bureau of Economic Research, Inc, number beck81-1, March.
    33. Bruce, Neil & Turnovsky, Stephen J., 2013. "Social security, growth, and welfare in overlapping generations economies with or without annuities," Journal of Public Economics, Elsevier, vol. 101(C), pages 12-24.
    34. Frederic Docquier & Philippe Michel, 1999. "Education Subsidies, Social Security and Growth: The Implications of a Demographic Shock," Scandinavian Journal of Economics, Wiley Blackwell, vol. 101(3), pages 425-440, September.
    35. Menahem E. Yaari, 1965. "Uncertain Lifetime, Life Insurance, and the Theory of the Consumer," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 32(2), pages 137-150.
    36. Barro, Robert J & Becker, Gary S, 1989. "Fertility Choice in a Model of Economic Growth," Econometrica, Econometric Society, vol. 57(2), pages 481-501, March.
    37. Sinha, Tapen, 1986. "Capital accumulation and longevity," Economics Letters, Elsevier, vol. 22(4), pages 385-389.
    38. Turnovsky,Stephen J., 1977. "Macroeconomic Analysis and Stabilization Policy," Cambridge Books, Cambridge University Press, number 9780521291873.
    39. Blanchard, Olivier J, 1985. "Debt, Deficits, and Finite Horizons," Journal of Political Economy, University of Chicago Press, vol. 93(2), pages 223-247, April.
    40. Solveig Erlandsen & Ragnar Nymoen, 2008. "Consumption and population age structure," Journal of Population Economics, Springer;European Society for Population Economics, vol. 21(3), pages 505-520, July.
    41. S. Demichelis & H. Polemarchakis, 2007. "The determinacy of equilibrium in economies of overlapping generations," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 32(3), pages 461-475, September.
    42. Heijdra, Ben J. & Mierau, Jochen O., 2012. "The individual life-cycle, annuity market imperfections and economic growth," Journal of Economic Dynamics and Control, Elsevier, vol. 36(6), pages 876-890.
    43. Rodolfo E. Manuelli & Ananth Seshadri, 2009. "Explaining International Fertility Differences," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 124(2), pages 771-807.
    44. 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.
    45. Burke, Jonathan L., 1996. "Equilibrium for Overlapping Generations in Continuous Time," Journal of Economic Theory, Elsevier, vol. 70(2), pages 364-390, August.
    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. Bruno Lanz & Simon Dietz & Timothy Swanson, 2017. "Global Population Growth, Technology, And Malthusian Constraints: A Quantitative Growth Theoretic Perspective," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 58(3), pages 973-1006, August.
    2. Theresa Grafeneder-Weissteiner & Klaus Prettner & Jens Südekum, 2020. "Three Pillars of Urbanization: Migration, Aging, and Growth," De Economist, Springer, vol. 168(2), pages 259-278, June.
    3. 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.
    4. Bruce, Neil & Turnovsky, Stephen J., 2013. "Social security, growth, and welfare in overlapping generations economies with or without annuities," Journal of Public Economics, Elsevier, vol. 101(C), pages 12-24.
    5. d’Albis, Hippolyte & Augeraud-Véron, Emmanuelle & Hupkes, Hermen Jan, 2015. "Local determinacy of prices in an overlapping generations model with continuous trading," Journal of Mathematical Economics, Elsevier, vol. 58(C), pages 16-24.
    6. Ivan Frankovic & Michael Kuhn & Stefan Wrzaczek, 2016. "Medical Care within an OLG Economy with Realistic Demography," VID Working Papers 1603, Vienna Institute of Demography (VID) of the Austrian Academy of Sciences in Vienna.
    7. Bloom, David E. & Kuhn, Michael & Prettner, Klaus, 2018. "Health and Economic Growth," IZA Discussion Papers 11939, Institute of Labor Economics (IZA).
    8. Frankovic, Ivan & Kuhn, Michael & Wrzaczek, Stefan, 2020. "Medical innovation and its diffusion: Implications for economic performance and welfare," Journal of Macroeconomics, Elsevier, vol. 66(C).
    9. Turnovsky, Stephen J., 2011. "On the role of small models in macrodynamics," Journal of Economic Dynamics and Control, Elsevier, vol. 35(9), pages 1605-1613, September.
    10. Ivan Frankovic & Michael Kuhn & Stefan Wrzaczek, 2020. "On the Anatomy of Medical Progress Within an Overlapping Generations Economy," De Economist, Springer, vol. 168(2), pages 215-257, June.
    11. Michael Kuhn & Klaus Prettner, 2018. "Population age structure and consumption growth: evidence from National Transfer Accounts," Journal of Population Economics, Springer;European Society for Population Economics, vol. 31(1), pages 135-153, January.
    12. Karel Brůna & Jiří Pour, 2023. "Population aging and structural over/underinvestment," Economic Change and Restructuring, Springer, vol. 56(4), pages 2339-2383, August.
    13. Jochen Mierau & Stephen Turnovsky, 2014. "Demography, growth, and inequality," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 55(1), pages 29-68, 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. Jochen Mierau & Stephen Turnovsky, 2014. "Demography, growth, and inequality," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 55(1), pages 29-68, January.
    2. David Oxborrow & Stephen J. Turnovsky, 2017. "Closing the Small Open Economy Model: A Demographic Approach," Review of International Economics, Wiley Blackwell, vol. 25(1), pages 44-75, February.
    3. Augeraud-Véron, Emmanuelle & D'Albis, Hippolyte, 2009. "Continuous-Time Overlapping Generations Models," TSE Working Papers 09-047, Toulouse School of Economics (TSE).
    4. Bruce, Neil & Turnovsky, Stephen J., 2013. "Social security, growth, and welfare in overlapping generations economies with or without annuities," Journal of Public Economics, Elsevier, vol. 101(C), pages 12-24.
    5. Turnovsky, Stephen J., 2019. "Demographic structures, savings, and international capital flows," Journal of International Money and Finance, Elsevier, vol. 98(C), pages 1-1.
    6. Brito, Paulo, 2014. "Interest rates and endogenous population growth: joint age-dependent dynamics," MPRA Paper 58656, University Library of Munich, Germany.
    7. Brito, Paulo & Dilão, Rui, 2010. "Equilibrium price dynamics in an overlapping-generations exchange economy," Journal of Mathematical Economics, Elsevier, vol. 46(3), pages 343-355, May.
    8. Lau, Sau-Him Paul, 2014. "Fertility and mortality changes in an overlapping-generations model with realistic demography," Economic Modelling, Elsevier, vol. 38(C), pages 512-521.
    9. 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.
    10. Kuhn, Michael & Prettner, Klaus, 2016. "Growth and welfare effects of health care in knowledge-based economies," Journal of Health Economics, Elsevier, vol. 46(C), pages 100-119.
    11. 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.
    12. Michael Kuhn & Klaus Prettner, 2018. "Population age structure and consumption growth: evidence from National Transfer Accounts," Journal of Population Economics, Springer;European Society for Population Economics, vol. 31(1), pages 135-153, January.
    13. Tscheuschner, Paul, 2021. "Endogenous life expectancy and R&D-based economic growth," Hohenheim Discussion Papers in Business, Economics and Social Sciences 01-2021, University of Hohenheim, Faculty of Business, Economics and Social Sciences.
    14. Klaus Prettner & Alexia Prskawetz, 2010. "Demographic change in models of endogenous economic growth. A survey," Central European Journal of Operations Research, Springer;Slovak Society for Operations Research;Hungarian Operational Research Society;Czech Society for Operations Research;Österr. Gesellschaft für Operations Research (ÖGOR);Slovenian Society Informatika - Section for Operational Research;Croatian Operational Research Society, vol. 18(4), pages 593-608, December.
    15. Robinson, James A. & Srinivasan, T.N., 1993. "Long-term consequences of population growth: Technological change, natural resources, and the environment," Handbook of Population and Family Economics, in: M. R. Rosenzweig & Stark, O. (ed.), Handbook of Population and Family Economics, edition 1, volume 1, chapter 21, pages 1175-1298, Elsevier.
    16. Zhang W.B., 2015. "Birth And Mortality Rates, Gender Division Of Labor, And Time Distribution In The Solow Growth Model," Revista Galega de Economía, University of Santiago de Compostela. Faculty of Economics and Business., vol. 24(1), pages 121-134.
    17. Theresa Grafeneder-Weissteiner & Klaus Prettner & Jens Südekum, 2020. "Three Pillars of Urbanization: Migration, Aging, and Growth," De Economist, Springer, vol. 168(2), pages 259-278, June.
    18. Bloom, David E. & Kuhn, Michael & Prettner, Klaus, 2023. "Fertility in High-Income Countries: Trends, Patterns, Determinants, and Consequences," IZA Discussion Papers 16500, Institute of Labor Economics (IZA).
    19. 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.
    20. Belyakov, A.O. & Kurbatskiy, A.N. & Prettner, K., 2021. "The growth effects of anticipated versus unanticipated population aging," Journal of Mathematical Economics, Elsevier, vol. 94(C).

    More about this item

    Keywords

    Demography; Growth; Overlapping generations; C62; D91; E13; J10;
    All these keywords.

    JEL classification:

    • C62 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Existence and Stability Conditions of Equilibrium
    • D91 - Microeconomics - - Micro-Based Behavioral Economics - - - Role and Effects of Psychological, Emotional, Social, and Cognitive Factors on Decision Making
    • E13 - Macroeconomics and Monetary Economics - - General Aggregative Models - - - Neoclassical
    • J10 - Labor and Demographic Economics - - Demographic Economics - - - General

    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:27:y:2014:i:3:p:857-894. 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.