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Fertility versus Productivity: A Model of Growth with Evolutionary Equilibria

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We develop a quantitative model that is consistent with three principal building blocks of Unified Growth Theory: the break-out from economic stagnation, the buildup to the Industrial Revolution, and the onset of the fertility transition. Our analysis suggests that (i) the escape from the Malthusian trap was triggered by the demographic catastrophes in the aftermath of the Black Death, (ii), household investment in children ultimately raised wages despite an increasing population, and (iii) rising human capital, combined with the increasing elasticity of substitution between child quantity and quality, reduced target family size and contributed to the fertility transition.

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  • Foreman-Peck, James & Zhou, Peng, 2020. "Fertility versus Productivity: A Model of Growth with Evolutionary Equilibria," Cardiff Economics Working Papers E2020/13, Cardiff University, Cardiff Business School, Economics Section.
    • Handle: RePEc:cdf:wpaper:2020/13
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    1. Gregory Clark, 2005. "The Condition of the Working Class in England, 1209-2004," Journal of Political Economy, University of Chicago Press, vol. 113(6), pages 1307-1340, December.
    2. Oded Galor & Omer Moav, 2002. "Natural Selection and the Origin of Economic Growth," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 117(4), pages 1133-1191.
    3. Eugene Choo & Aloysius Siow, 2006. "Who Marries Whom and Why," Journal of Political Economy, University of Chicago Press, vol. 114(1), pages 175-201, February.
    4. Matteo Cervellati & Uwe Sunde, 2005. "Human Capital Formation, Life Expectancy, and the Process of Development," American Economic Review, American Economic Association, vol. 95(5), pages 1653-1672, December.
    5. Oded Galor, 2012. "The demographic transition: causes and consequences," Cliometrica, Journal of Historical Economics and Econometric History, Association Française de Cliométrie (AFC), vol. 6(1), pages 1-28, January.
    6. Nils-Petter Lagerlöf, 2006. "The Galor-Weil Model Revisited: A Quantitative Exercise," Review of Economic Dynamics, Elsevier for the Society for Economic Dynamics, vol. 9(1), pages 116-142, January.
    7. Nils‐Petter Lagerlöf, 2019. "Understanding Per‐Capita Income Growth In Preindustrial Europe," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 60(1), pages 219-240, February.
    8. Robert C. Allen, 2015. "The high wage economy and the industrial revolution: a restatement," Economic History Review, Economic History Society, vol. 68(1), pages 1-22, February.
    9. Raouf Boucekkine & David de la Croix & Omar Licandro, 2003. "Early Mortality Declines at the Dawn of Modern Growth," Scandinavian Journal of Economics, Wiley Blackwell, vol. 105(3), pages 401-418, September.
    10. 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.
    11. Allen, Robert C., 2009. "Engels' pause: Technical change, capital accumulation, and inequality in the british industrial revolution," Explorations in Economic History, Elsevier, vol. 46(4), pages 418-435, October.
    12. Gary S. Becker, 1981. "A Treatise on the Family," NBER Books, National Bureau of Economic Research, Inc, number beck81-1.
    13. Brezis, Elise S. & Ferreira, Rodolphe Dos Santos, 2016. "Endogenous Fertility With A Sibship Size Effect," Macroeconomic Dynamics, Cambridge University Press, vol. 20(8), pages 2046-2066, December.
    14. Joydeep Bhattacharya & Shankha Chakraborty, 2017. "Contraception and the Demographic Transition," Economic Journal, Royal Economic Society, vol. 127(606), pages 2263-2301, November.
    15. Duranton, Gilles & Puga, Diego, 2014. "The Growth of Cities," Handbook of Economic Growth, in: Philippe Aghion & Steven Durlauf (ed.), Handbook of Economic Growth, edition 1, volume 2, chapter 5, pages 781-853, Elsevier.
    16. Frank Smets & Rafael Wouters, 2007. "Shocks and Frictions in US Business Cycles: A Bayesian DSGE Approach," American Economic Review, American Economic Association, vol. 97(3), pages 586-606, June.
    17. Chesnais, Jean-Claude, 1992. "The Demographic Transition: Stages, Patterns, and Economic Implications," OUP Catalogue, Oxford University Press, number 9780198286592.
    18. Oded Galor, 2011. "Unified Growth Theory," Economics Books, Princeton University Press, edition 1, number 9477.
    19. Clark, Gregory & Werf, Ysbrand Van Der, 1998. "Work in Progress? The Industrious Revolution," The Journal of Economic History, Cambridge University Press, vol. 58(03), pages 830-843, September.
    20. 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.
    21. Keeley, Michael C, 1977. "The Economics of Family Formation," Economic Inquiry, Western Economic Association International, vol. 15(2), pages 238-250, April.
    22. Broadberry,Stephen & Campbell,Bruce M. S. & Klein,Alexander & Overton,Mark & van Leeuwen,Bas, 2015. "British Economic Growth, 1270–1870," Cambridge Books, Cambridge University Press, number 9781107070783, September.
    23. Galor, Oded & Michalopoulos, Stelios, 2012. "Evolution and the growth process: Natural selection of entrepreneurial traits," Journal of Economic Theory, Elsevier, vol. 147(2), pages 759-780.
    24. Matteo Cervellati & Uwe Sunde, 2015. "The Economic and Demographic Transition, Mortality, and Comparative Development," American Economic Journal: Macroeconomics, American Economic Association, vol. 7(3), pages 189-225, July.
    25. Strulik, Holger & Weisdorf, Jacob, 2014. "How Child Costs And Survival Shaped The Industrial Revolution And The Demographic Transition," Macroeconomic Dynamics, Cambridge University Press, vol. 18(1), pages 114-144, January.
    26. Gregory Clark, 2005. "The Condition of the Working Class in England, 1209-2004," Journal of Political Economy, University of Chicago Press, vol. 113(6), pages 1307-1340, December.
    27. Francesco Cinnirella & Marc Klemp & Jacob Weisdorf, 2017. "Malthus in the Bedroom: Birth Spacing as Birth Control in Pre-Transition England," Demography, Springer;Population Association of America (PAA), vol. 54(2), pages 413-436, April.
    28. Jakob B. Madsen & Fabrice Murtin, 2017. "British economic growth since 1270: the role of education," Journal of Economic Growth, Springer, vol. 22(3), pages 229-272, September.
    29. 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.
    30. 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.
    31. Lee Ronald, 1993. "Accidental and Systematic Change in Population History: Homeostasis in a Stochastic Setting," Explorations in Economic History, Elsevier, vol. 30(1), pages 1-30, January.
    32. Rohan Dutta & David K. Levine & Nicholas W. Papageorge & Lemin Wu, 2018. "Entertaining Malthus: Bread, Circuses, And Economic Growth," Economic Inquiry, Western Economic Association International, vol. 56(1), pages 358-380, January.
    33. James Foreman‐Peck & Peng Zhou, 2018. "Late marriage as a contributor to the industrial revolution in England," Economic History Review, Economic History Society, vol. 71(4), pages 1073-1099, November.
    34. Nico Voigtländer & Hans-Joachim Voth, 2006. "Why England? Demographic factors, structural change and physical capital accumulation during the Industrial Revolution," Journal of Economic Growth, Springer, vol. 11(4), pages 319-361, December.
    35. Gregory Clark, 2007. "The long march of history: Farm wages, population, and economic growth, England 1209–18691," Economic History Review, Economic History Society, vol. 60(1), pages 97-135, February.
    36. Bas Bavel & Auke Rijpma, 2016. "How important were formalized charity and social spending before the rise of the welfare state? A long-run analysis of selected western European cases, 1400–1850," Economic History Review, Economic History Society, vol. 69(1), pages 159-187, February.
    37. Tzannatos, Zafiris & Symons, James, 1989. "An Economic Approach to Fertility in Britain since 1860," Journal of Population Economics, Springer;European Society for Population Economics, vol. 2(2), pages 121-138.
    38. Marc Klemp & Jacob Weisdorf, 2019. "Fecundity, Fertility and The Formation of Human Capital," The Economic Journal, Royal Economic Society, vol. 129(618), pages 925-960.
    39. Michael Bar & Oksana Leukhina, 2010. "The role of mortality in the transmission of knowledge," Journal of Economic Growth, Springer, vol. 15(4), pages 291-321, December.
    40. Nils‐Petter Lagerlöf, 2003. "Mortality and Early Growth in England, France and Sweden," Scandinavian Journal of Economics, Wiley Blackwell, vol. 105(3), pages 419-440, September.
    41. Lindert, Peter H, 1986. "Unequal English Wealth since 1670," Journal of Political Economy, University of Chicago Press, vol. 94(6), pages 1127-1162, December.
    42. Timothy W. Guinnane, 2011. "The Historical Fertility Transition: A Guide for Economists," Journal of Economic Literature, American Economic Association, vol. 49(3), pages 589-614, September.
    43. Philippe Aghion & Steven Durlauf (ed.), 2014. "Handbook of Economic Growth," Handbook of Economic Growth, Elsevier, edition 1, volume 2, number 2.
    44. Oded Galor, 2011. "Unified Growth Theory and Comparative Development," Rivista di Politica Economica, SIPI Spa, issue 2, pages 9-21, April-Jun.
    45. Colgrove, J., 2002. "The McKeown thesis: A historical controversy and its enduring influence," American Journal of Public Health, American Public Health Association, vol. 92(5), pages 725-729.
    46. Voth, Hans-Joachim, 1998. "Time and Work in Eighteenth-Century London," The Journal of Economic History, Cambridge University Press, vol. 58(1), pages 29-58, March.
    47. Feinstein, Charles H., 1998. "Pessimism Perpetuated: Real Wages and the Standard of Living in Britain during and after the Industrial Revolution," The Journal of Economic History, Cambridge University Press, vol. 58(3), pages 625-658, September.
    48. Joydeep Bhattacharya & Shankha Chakraborty, 2017. "Contraception and the Demographic Transition," Economic Journal, Royal Economic Society, vol. 127(606), pages 2263-2301, November.
    49. Holger Strulik & Jacob Weisdorf, 2008. "Population, food, and knowledge: a simple unified growth theory," Journal of Economic Growth, Springer, vol. 13(3), pages 195-216, September.
    50. Blanchard, Olivier Jean & Kahn, Charles M, 1980. "The Solution of Linear Difference Models under Rational Expectations," Econometrica, Econometric Society, vol. 48(5), pages 1305-1311, July.
    51. Allen, Robert C., 2001. "The Great Divergence in European Wages and Prices from the Middle Ages to the First World War," Explorations in Economic History, Elsevier, vol. 38(4), pages 411-447, October.
    52. Crafts, Nicholas & Mills, Terence C., 2009. "From Malthus to Solow: How did the Malthusian economy really evolve?," Journal of Macroeconomics, Elsevier, vol. 31(1), pages 68-93, March.
    53. Peter Lindert, 2004. "Social Spending and Economic Growth," Challenge, Taylor & Francis Journals, vol. 47(4), pages 6-16.
    54. Hunt, E. H., 1986. "Industrialization and Regional Inequality: Wages in Britain, 1760–1914," The Journal of Economic History, Cambridge University Press, vol. 46(4), pages 935-966, December.
    55. Sara Horrell & Jane Humphries, 1995. "Women's labour force participation and the transition to the male-breadwinner family, 1790-1865," Economic History Review, Economic History Society, vol. 48(1), pages 89-117, February.
    56. Lucas, Robert Jr., 1988. "On the mechanics of economic development," Journal of Monetary Economics, Elsevier, vol. 22(1), pages 3-42, July.
    57. Peter H. Lindert & Jeffrey G. Williamson, 1983. "English Workers’Living Standards During the Industrial Revolution: A New Look," Economic History Review, Economic History Society, vol. 36(1), pages 1-25, February.
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    3. Ratbek Dzhumashev & Ainura Tursunalieva, 2023. "Social externalities, endogenous childcare costs, and fertility choice," Journal of Population Economics, Springer;European Society for Population Economics, vol. 36(1), pages 397-429, January.

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    More about this item

    Keywords

    Fertility Transition; Industrial Revolution; English Economy; Economic Development;
    All these keywords.

    JEL classification:

    • O11 - Economic Development, Innovation, Technological Change, and Growth - - Economic Development - - - Macroeconomic Analyses of Economic Development
    • J11 - Labor and Demographic Economics - - Demographic Economics - - - Demographic Trends, Macroeconomic Effects, and Forecasts
    • N13 - Economic History - - Macroeconomics and Monetary Economics; Industrial Structure; Growth; Fluctuations - - - Europe: Pre-1913

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