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Complements versus Substitutes and Trends in Fertility Choice in Dynastic Models

  • Larry E. Jones
  • Alice Schoonbroodt

The Barro-Becker model is a simple intuitive model of fertility choice. In its original formulation, however, it has not been very successful at reproducing the changes in fertility choice in response to decreased mortality and increased income growth that demographers have emphasized in explaining the demographic transition. In this paper we show that this is due to an implicit assumption that number and utility of children are complements, which is a byproduct of the high intertemporal elasticity of substitution (IES) typically assumed in the fertility literature. We show that, not only is this assumption not necessary, but both the qualitative and quantitative properties of the model in terms of fertility choice change dramatically when substitutability and high curvature are assumed. To do so, we first derive analytical comparative statics and perform quantitative experiments. We find that if IES is less than one, model predictions of changes in fertility amount to about two-thirds of those observed in U.S. data since 1800. There are two major sources to these predicted changes, the increase in the growth rate of productivity which accounts for about 90 percent of the predicted fall in fertility before 1880, and changes in mortality which account for 90 percent of the predicted change from 1880 to 1950.

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Paper provided by National Bureau of Economic Research, Inc in its series NBER Working Papers with number 13680.

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Date of creation: Dec 2007
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Publication status: published as Larry E. Jones & Alice Schoonbroodt, 2010. "Complements Versus Substitutes And Trends In Fertility Choice In Dynastic Models," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 51(3), pages 671-699, 08.
Handle: RePEc:nbr:nberwo:13680
Note: CH EFG HE
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  1. Oded_Galor, 2004. "The Demographic Transition and the Emergence of Sustained Economic Growth," Working Papers 2004-13, Brown University, Department of Economics.
  2. DE LA CROIX, David & DOEPKE, Matthias, . "To segregate or to integrate: Education politics and democracy," CORE Discussion Papers RP 2105, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
  3. Laurence Ales & Pricila Maziero, 2007. "Accounting for private information," 2007 Meeting Papers 804, Society for Economic Dynamics.
  4. Michael Bar & Oksana Leukhina, 2009. "Supplemental Notes to "Demographic transition and industrial revolution: A macroeconomic investigation"," Technical Appendices 08-85, Review of Economic Dynamics.
  5. Robert William Fogel, 1990. "The Conquest of High Mortality and Hunger in Europe and America: Timing and Mechanisms," NBER Historical Working Papers 0016, National Bureau of Economic Research, Inc.
  6. Fernando Alvarez, 1999. "Social Mobility: The Barro-Becker Children Meet the Laitner-Loury Dynasties," Review of Economic Dynamics, Elsevier for the Society for Economic Dynamics, vol. 2(1), pages 65-103, January.
  7. Sebnem Kalemli-Ozcan, 2002. "A Stochastic Model of Mortality, Fertility, and Human Capital Investment," Macroeconomics 0212009, EconWPA.
  8. Joshua D. Angrist & Victor Lavy & Analia Schlosser, 2005. "New Evidence on the Causal Link Between the Quantity and Quality of Children," NBER Working Papers 11835, National Bureau of Economic Research, Inc.
  9. Matthias Doepke & Michèle Tertilt, 2009. "Women's Liberation: What's in It for Men?," The Quarterly Journal of Economics, MIT Press, vol. 124(4), pages 1541-1591, November.
  10. Robert J. Barro & Gary S. Becker, . "Fertility Choice in a Model of Economic Growth," University of Chicago - Population Research Center 88-8, Chicago - Population Research Center.
  11. Jeremy Greenwood & Ananth Seshadri, 2002. "The US Demographic Transition," RCER Working Papers 487, University of Rochester - Center for Economic Research (RCER).
  12. Galor, Oded & Moav, Omer, 2000. "Natural Selection and the Origin of Economic Growth," Arbetsrapport 2000:5, Institute for Futures Studies.
  13. David de la Croix & Omar Licandro, 2007. "‘The Child is Father of the Man:’ Implications for the Demographic Transition," Economics Working Papers ECO2007/05, European University Institute.
  14. Chulhee Lee, 2001. "The expected length of male retirement in the United States, 1850-1990," Journal of Population Economics, Springer, vol. 14(4), pages 641-650.
  15. Larry E. Jones & Alice Schoonbroodt, 2010. "Baby Busts and Baby Booms: The Fertility Response to Shocks in Dynastic Models," NBER Working Papers 16596, National Bureau of Economic Research, Inc.
  16. Jeremy Greenwood & Guillaume Vandenbroucke, 2005. "Hours Worked (Long-Run Trends)," Economie d'Avant Garde Research Reports 10, Economie d'Avant Garde.
  17. Matthias Doepke, 2005. "Child mortality and fertility decline: Does the Barro-Becker model fit the facts?," Journal of Population Economics, Springer, vol. 18(2), pages 337-366, 06.
  18. Rosenzweig, Mark R, 1990. "Population Growth and Human Capital Investments: Theory and Evidence," Journal of Political Economy, University of Chicago Press, vol. 98(5), pages S38-70, October.
  19. Ben-Porath, Yoram, 1976. "Fertility Response to Child Mortality: Micro Data from Israel," Journal of Political Economy, University of Chicago Press, vol. 84(4), pages S163-78, August.
  20. Julio Cáceres-Delpiano, 2006. "The Impacts of Family Size on Investment in Child Quality," Journal of Human Resources, University of Wisconsin Press, vol. 41(4).
  21. Eckstein, Zvi & Mira, Pedro Solbes & Wolpin, Kenneth, 1998. "A Quantative Analysis of Swedish Fertility Dynamics: 1751-1990," CEPR Discussion Papers 1832, C.E.P.R. Discussion Papers.
  22. 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.
  23. Larry E. Jones & Michele Tertilt, 2006. "An Economic History of Fertility in the U.S.: 1826-1960," NBER Working Papers 12796, National Bureau of Economic Research, Inc.
  24. Michele Boldrin & Mariacristina De Nardi & Larry E. Jones, 2005. "Fertility and Social Security," NBER Working Papers 11146, National Bureau of Economic Research, Inc.
  25. Geib-Gundersen, Lisa & Zahrt, Elizabeth, 1996. "A New Look at U.S. Agricultural Productivity Growth, 1800–1910," The Journal of Economic History, Cambridge University Press, vol. 56(03), pages 679-686, September.
  26. Sah, R.K., 1989. "The Effects Of Mortality Changes On Fertility Choice And Individual Welfare: Some Theoretical Predictions," Papers 599, Yale - Economic Growth Center.
  27. Sebnem Kalemli-Ozcan, 2002. "Does the Mortality Decline Promote Economic Growth?," Macroeconomics 0212008, EconWPA.
  28. Alessandro Cigno, 1998. "Fertility decisions when infant survival is endogenous," Journal of Population Economics, Springer, vol. 11(1), pages 21-28.
  29. repec:fth:sotoec:0031 is not listed on IDEAS
  30. Eckstein, Z. & Mira, P. & Wolpin, K.I., 1997. "A Quantitative Analysis of Swidish Fertility Dynamics : 1751-1990," Papers 22-97, Tel Aviv.
  31. Matthias Doepke, 2004. "Accounting for Fertility Decline During the Transition to Growth," Journal of Economic Growth, Springer, vol. 9(3), pages 347-383, 09.
  32. Michael R. Haines, 1994. "Estimated Life Tables for the United States, 1850-1900," NBER Historical Working Papers 0059, National Bureau of Economic Research, Inc.
  33. Xavier Mateos-Planas, 2002. "The Demographic Transition in Europe: A Neoclassical Dynastic Approach," Review of Economic Dynamics, Elsevier for the Society for Economic Dynamics, vol. 5(3), pages 646-680, July.
  34. Matthias Doepke, . "To Segregate or to Integrate: Education Politics and Democracy," UCLA Economics Online Papers 411, UCLA Department of Economics.
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