How substitutable are fixed factors in production? evidence from pre-industrial England

Wilde, Joshua (2012): How substitutable are fixed factors in production? evidence from pre-industrial England.

Abstract

Whether fixed factors such as land constrain per-capita income growth depends crucially on two variables: the substitutability of fixed factors in production, and the extent to which innovation is biased towards land-saving technologies. This paper attempts to quantify both. Using the timing of plague epidemics as an instrument for labor supply, I estimate the elasticity of substitution between fixed and non-fixed factors in pre-industrial England to be significantly less than one. In addition, I find evidence that denser populations – and hence higher land scarcity – induced innovation towards land-saving technologies.

• Item Type: MPRA Paper
• Language: English
• Keywords: Land, Industrial Revolution, Induced Innovation, Fixed Factors, Substitutability, Population, England, Plagues
• Subjects: J - Labor and Demographic Economics > J1 - Demographic Economics > J13 - Fertility ; Family Planning ; Child Care ; Children ; Youth; N - Economic History > N1 - Macroeconomics and Monetary Economics ; Industrial Structure ; Growth ; Fluctuations > N13 - Europe: Pre-1913; Q - Agricultural and Natural Resource Economics ; Environmental and Ecological Economics > Q2 - Renewable Resources and Conservation > Q24 - Land; N - Economic History > N5 - Agriculture, Natural Resources, Environment, and Extractive Industries > N53 - Europe: Pre-1913; E - Macroeconomics and Monetary Economics > E1 - General Aggregative Models > E10 - General; N - Economic History > N3 - Labor and Consumers, Demography, Education, Health, Welfare, Income, Wealth, Religion, and Philanthropy > N33 - Europe: Pre-1913; Q - Agricultural and Natural Resource Economics ; Environmental and Ecological Economics > Q1 - Agriculture > Q15 - Land Ownership and Tenure ; Land Reform ; Land Use ; Irrigation ; Agriculture and Environment; O - Economic Development, Innovation, Technological Change, and Growth > O3 - Innovation ; Research and Development ; Technological Change ; Intellectual Property Rights > O31 - Innovation and Invention: Processes and Incentives; O - Economic Development, Innovation, Technological Change, and Growth > O4 - Economic Growth and Aggregate Productivity

References

Acemoglu, Daron, Simon Johnson, and James Robinson. 2005. “The Rise of Europe: Atlantic Trade, Institutional Change, and Economic Growth,” American Economic Review, vol. 95(3), pp. 546-579.

Aghion, Phillipe and Peter Howitt. 1992. “A Model of Growth through Creative Destruction,” Econometrica. Vol. 60(2), pp. 323-351.

Alexeev, Michael and Robert Conrad. 2009. "The Elusive Curse of Oil," The Review of Economics and Statistics. Vol. 91(3), pages 586-598.

References Arrow, Kenneth J., H.B. Chenery, B.S. Minhas, and R.M. Solow. 1961. “Capital-labor substitution and economic efficiency,” Review of Economics and Statistics. 43, pp. 225-250.

References Ashraf, Quamrul and Oder Galor. 2011. “Dynamics and Stagnation in the Malthusian Epoch,” American Economic Review, forthcoming.

Ashraf, Quamrul, Ashley Lester, and David N. Weil. 2008. “When does improving health raise GDP?” NBER Macroeconomics Annual 2008, eds. Daron Acemoglu, Kenneth Rogoff, and Michael Woodford.

Ashraf, Quamrul, David N. Weil, and Joshua Wilde. 2012. “The Effect of Interventions to Reduce Fertility on Economic Growth.” Working Paper.

Boserup, Ester. 1965. The Conditions of Agricultural Growth: The Economics of Agrarian Change under Population Pressure. New York: Aldine.

Brown, Lester. 2004. Outgrowing the Earth, New York: W. W. Norton & Company. 32

Campbell, Bruce M. S. 2000. English Seigniorial Agriculture, 1250-1450, New York: Cambridge University Press.

Caselli, Francesco, and James Feyrer. 2007. “The Marginal Product of Capital.” The Quarterly Journal of Economics, 122(2): 535-568.

Chavas, Jean-Paul and Daniel W. Bromley “Modeling Population and Resource Scarcity in Fourteenth-century England” Journal of Agricultural Economics, Vol. 56, No. 2, 2005, 217-237

Clark, Gregory. 2001. “Microbes and Markets: Was the Black Death and Economic Revolution?” Working paper.

Clark, Gregory. 2002. “Farmland Rental Values and Agrarian History: England and Wales, 1500-1912” European Review of Economic History, 6(3): 281-309.

Clark, Gregory. 2007a. A Farewell to Alms. Princeton: Princeton University Press.

Clark, Gregory. 2007b. “The Long March of History: Farm Wages, Population and Economic Growth, England 1209-1869” Economic History Review, 60(1): 97-136.

Creighton, Charles. 1965. A History of Epidemics in Britain Vol I: From AD 664 to the Great Plague 2e with additional material by DEC Eversley, EA Underwood, and L Ovenall. London: Frank Cass.

Diamond, Jared. 1997. Guns, Germs, and Steel: The Fates of Human Societies. New York: W.W. Norton & Co.

Doepke, Matthias. 2004. "Accounting for Fertility Decline During the Transition to Growth," Journal of Economic Growth Vol. 9(3): 347-383.

Ehrlich, Paul. 1968. The Population Bomb. New York: Ballantine Books.

Fernandez-Vilaverde, Jesus. 2011 “Was Malthus Right? Economic Growth and Population Dynamics." Working Paper

Flora, P., Kraus, F., Pfenning, W. 1983. State, Economy and Society in Western Europe 1815-1975, vol. 1. St. James Press: Chicago.

Galor, Oded. 2005. "The Demographic Transition and the Emergence of Sustained Economic Growth," Journal of the European Economic Association. Vol. 3(2-3), pages 494-504.

Galor, Oded and Omer Moav. 2002. "Natural Selection And The Origin Of Economic Growth," The Quarterly Journal of Economics. Vol. 117(4), pages 1133-1191.

Galor, Oded and David N. Weil. 1999. "From Malthusian Stagnation to Modern Growth," American Economic Review. Vol. 89(2), pages 150-154.

Galor, Oded, and David N. Weil. 2000. “Population, Technology, and Growth: From Malthusian Stagnation to the Demographic Transition and Beyond” American Economic Review, vol. 90(4), pages 806-828.

Gottfried, Robert S. 1978. Epidemic Disease in Fifteenth Century England: The Medical Response and the Demographic Consequences Leicester: Leicester University Press.

Gottfried, Robert S. 1983. The Black Death: Natural and Human Disaster in Medieval Europe. London: Robert Hale.

Hallam, H. E. 1972 “The Postan Thesis” Historical Studies Vol. 15, pp. 203- 222.

Hansen, Gary D. and Edward C. Prescott, 2002. “Malthus to Solow.” American Economic Review, vol. 92(4), pages 1205-1217.

Hatcher, John. 1977. Plague, Population, and the English Economy 1348-1530. London: Macmillan.

Hatcher, John and Bailey, M. 2001. Modeling the Middle Ages: The History and Theory of England's Economic Development. Oxford: Oxford University Press.

Hayami, Yujiro and Vernon W. Ruttan. 1985. Agricultural Development: An International Perspective. Baltimore: Johns Hopkins University Press. 34

Helleiner, K. F. “Population Movement and agrarian depression in the latter Middle Ages” Canadian Journal of Economics and Political Science, Vol. 15 (1950) pp. 368-77.

Herlihy, David. 1997. The Black Death and the Transformation of the West. Complied by Samuel K. Cohn, Jr. Harvard University Press: Cambridge, MA.

Hicks, John R. 1932. The Theory of Wages. London: Macmillan.

Jones, Chad I. 2001. “Was an Industrial Revolution Inevitable? Economic Growth Over the Very Long Run.” Advances in Macroeconomics Volume 1, Number 2, Article 1.

Kershaw, I. “The Great Famine and agrarian crisis in England:1315-1322” Past and Present Vol. 79, (1973), pp. 3-50.

Kremer, Michael. 1993. “Population Growth and Technological Change: One Million B.C. to 1990,” Quarterly Journal of Economics, vol. 108(3), pages 681- 716.

Lagerlöf, Nils-Petter. 2003. "Mortality and Early Growth in England, France and Sweden," Scandinavian Journal of Economics. Vol. 105(3), pages 419-440.

Lagerlöf, Nils-Petter. 2006. "The Galor-Weil Model Revisited: A Quantitative Exercise," Review of Economic Dynamics. Vol. 9(1), pages 116-142.

Lee, Ronald. 1973. "Population in Preindustrial England: An Econometric Analysis," The Quarterly Journal of Economics. Vol. 87(4), pages 581-607.

Leite, Carlos and Jens Weidmann. 1999. “Does Mother Nature Corrupt? Natural Resources, Corruption, and Economic Growth,” IMF Working Paper Series, 99/85.

Lucas. Robert E. Jr. 2004. "The Industrial Revolution: past and future," Annual Report, Federal Reserve Bank of Minneapolis, issue May, pages 5-20.

Maddison, Angus. 2003. The World Economy: Historical Statistics OECD Development Centre: Paris.

Malthus, Thomas. 1798. Essay on the Principle of Population

Mokyr, Joel and Hans-Joachim Voth. 2010. “Understanding Growth in Europe, 1700-1870: Theory and Evidence.” Working paper.

Nordhaus, William, and James Tobin. 1972. “Is Growth Obsolete?” In Economic Growth, NBER Fiftieth Anniversary Colloquium V. New York: Columbia University Press.

Ohlin, Bertil G. 1933. Interregional and International Trade. Cambridge: Harvard University Press.

O'Rourke, Kevin H., Ahmed S. Rahman and Alan M. Taylor. 2008. "Luddites and the Demographic Transition," NBER Working Papers 14484, National Bureau of Economic Research, Inc.

O'Rourke, Kevin and Jeffrey Williamson. 2005. "From Malthus to Ohlin: Trade, Industrialization and Distribution Since 1500," Journal of Economic Growth. Col. 10(1), pages 5-34.

Poos, L.R., :The Rural Population of Essex in the latter Middle Ages.” Economic History Review, Vol. 38 1985 pp. 515-530

Popp, David, Richard G. Newell, and Adam B. Jae. 2011. “Energy, the Environment, and Technological Change.” In Handbook of Economics of Technical Change, Bronwin Hall and Nathan Rosenberg, eds. Oxford: Elsevier. Forthcoming.

Romer, Paul M. 1990. “Endogenous Technical Change.” Journal of Political Economy. 98(5), pt. 2.

Ross, Michael, 2001, “Does Oil Hinder Democracy?” World Politics 53, no.3, 325-61.

Sachs, Jeffery D. and Andrew M. Warner. 1995. “Natural Resource Abundance and Economics Growth” HIID Development Discussion Paper #517a.

Sachs, Jeffery D. and Andrew M. Warner. 1997. “Fundamental sources of long run growth,” American Economic Review 87(2) , pp. 184188.

Sachs, Jeffery D. and Andrew M. Warner. 2001. “The Curse of Natural Resources” European Economic Review. Vol 45. Issues 4-6. Pg 827-838. 36

Sala-i-Martin, Xavier and Arvind Subramanian. 2003. "Addressing the Natural Resource Curse: An Illustration from Nigeria," NBER Working Papers 9804, National Bureau of Economic Research, Inc.

Shrewsbury, J. F. D. 1970. A History of the Bubonic Plague in the British Isles. Cambridge University Press: Cambridge, U.K

Simon, Julian L. 1981. The Ultimate Resource. Princeton: Princeton University Press.

Stolper, W. F. and Paul A. Samuelson. 1941. "Protection and Real Wages", Review of Economic Studies 9 (1): 5873.

Stokey, Nancy L. 2001. "A quantitative model of the British industrial revolution, 1780-1850," Carnegie-Rochester Conference Series on Public Policy. Vol. 55(1), pages 55-109.

Strulik, Holger and Jacob Weisdorf. 2008. "Population, food, and knowledge: a simple unified growth theory," Journal of Economic Growth. Vol. 13(3), pages 195-216.

Vollrath, Dietrich. 2010. “The Agricultural Basis of Comparative Development.” Working Paper.

Voigtländer, N. and H.-J. Voth. 2006. “Why England? Demographic Factors, Structural Change and Physical Capital Accumulation during the Industrial Revolution.” Journal of Economic Growth 11, 319361.

Voigtländer, N. and H.-J. Voth 2010a. “The Three Horsemen of Riches: Plague, War, and Urbanization in Early Modern Europe.” Working paper.

Voigtländer, N. and H.-J. Voth 2010b. “How the West Invented Fertility Restriction.” Working paper.

Weil, David N., and Joshua Wilde. 2009. “How Relevant is Malthus for Economic Development Today?” American Economic Review Papers and Proceedings. 99:2, 255260.

Williamson, Jeffrey. 1999. "Real Wages, Inequality, and Globalization in Latin America Before 1940," Revista de Historia Economica, vol. 17, special number : 101-142.

Williamson, Jeffrey. 2000a. "Globalization, Factor Prices and Living Standards in Asia Before 1940," in A.J.H. Latham and H. Kawakatsu (eds.), Asia Pacific Dynamism 1500-2000. London: Routledge. 13-45.

Williamson, Jeffrey. 2000b. "Real Wages and Factor Prices Around the Mediterranean 1500-1940," Chp. 3 in S. Pamuk and J.G. Williamson (eds.) The Mediterranean Response to Globalization Before 1950 (London: Routledge 2000) : 45- 75.

World Bank. 2006. Where is the Wealth of Nations? Washington D.C.: World Bank.

Wrigley, E.A. et al. 1997. English Population History from Family Reconstruction 1580-1837. Cambridge University Press: Cambridge, U.K.