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Mathematical Analysis of Historical Income Per Capita Distributions
Abstract
Abstract. Data describing historical growth of income per capita [Gross Domestic Product per capita (GDP/cap)] for the world economic growth and for the growth in Western Europe, Eastern Europe, Asia, former USSR, Africa and Latin America are analysed. They follow closely the linearly-modulated hyperbolic distributions represented by the ratios of hyperbolic distributions obtained by fitting the GDP and population data. Results of this analysis demonstrate that income per capita was increasing monotonically. There was no stagnation and there were no transitions from stagnation to growth. The usually postulated dramatic escapes from the Malthusian trap never happened because there was no trap in the economic growth. Unified Growth Theory is fundamentally incorrect because its central postulates are contradicted repeatedly by data, which were used but never analysed during the formulation of this theory. The large body of readily-available data opens new avenues for the economic and demographic research. They show that certain fundamental postulates revolving around the concept of Malthusian stagnation need to be replaced by the evidence-based interpretations. Within the range of analysable data, which for the growth of population extends down to 10,000 BC, growth of human population and economic growth were hyperbolic. There was no Malthusian stagnation and there were no transitions to distinctly faster trajectories. Industrial Revolution had no impact on changing growth trajectories.
Keywords. Economic growth, Income per capita, Unified Growth Theory, Hyperbolic growth, Industrial Revolution, Takeoffs, Malthusian stagnation
JEL. A10, C12, C20, C50, F00.Keywords
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Anderson, L.R., & Holt, C.A. (1997). Information cascades in the laboratory. American Economic Review, 87(5), 847-862.
Ashraf, Q.H. (2009). Essays on Deep Determinants of Comparative Economic Development. Ph.D. Thesis, Department of Economics, Brown University, Providence.
BBC, (2014).The North South Divide. [Retrieved from].
Begg, I.M., Anas, A., & Farinacci, S. (1992). Dissociation of process in belief: Source recollection, statement familiarity and the illusion of truth. Journal of Experimental Psychology. 121(4), 446- 458. doi. 10.1037/0096-3445.121.4.446
Bethell, L. (Ed.). (1984). The Cambridge History of Latin America: Vol. I and II, Colonial Latin America. Cambridge, UK: Cambridge University Press.
Biraben, J-N. (1980). An Essay Concerning Mankind's Evolution. Population, Selected Papers, December.
Bikhchandani, S., Hirshleifer, D., & Welch, I.A. (1992). Theory of fads, fashion, custom, and cultural change as informational cascades. Journal of Political Economy, 100(5), 992-1026. doi. 10.1086/261849
Clark, C. (1968). Population Growth and Land Use. New York, NY: St Martin's Press.
Cook, R.C. (1960). World Population Growth. Law and Contemporary Problems, 25(3), 379-388.
De Vany, A., & Lee, C. (2008). Information cascades in multi-agent models. [Retrieved from].
De Vany, A., & Walls, R. (1999). Uncertainty in the movie industry: Does star power reduce the terror of the box office? Journal of Cultural Economics, 23(4), 285-318. doi. 10.1023/A:1007608125988
Duignan, P., & Gunn, L.H. (Eds.) (1973). Colonialism in Africa 1870 – 1960: A Bibliographic Guide to Colonialism in Sub-Saharan Africa. Cambridge, UK: Cambridge University Press.
Durand, J. (1967). A Long-range View of World Population Growth. The Annals of the American Academy of Political and Social Science: World Population, 369, 1-8.
Durand, J.D. (1974). Historical Estimates of World Population: An Evaluation. Analytical and Technical Reports, Number 10. University of Pennsylvania, Population Center.
Durand, J. (1977). Historical Estimates of World Population: An Evaluation. Population and Development Review, 3(3), 256-293.
Floud, D., & McCloskey, D.N. (1994). The Economic History of Britain since 1700. Cambridge: Cambridge University Press.
Easley, D., & Kleinberg, J. (2010). Networks, crowds, and markets. Cambridge, UK: Cambridge University Press.
Gallant, R.A. (1990). The Peopling of Planet Earth: Human Growth through the Ages. New York, NY: Macmillan Publishing Company.
Galor, O. (2005a). From stagnation to growth: Unified Growth Theory. In P. Aghion & S. Durlauf (Eds.), Handbook of Economic Growth (pp. 171-293). Amsterdam: Elsevier.
Galor, O. (2005b). The Demographic Transition and the Emergence of Sustained Economic Growth. Journal of the European Economic Association, 3, 494-504. doi. 10.1162/jeea.2005.3.2-3.494
Galor, O. (2007). Multiple Growth Regimes—Insights from Unified Growth Theory. Journal of Macroeconomics, 29(3), 470-475. doi. 10.1016/j.jmacro.2007.06.007
Galor, O. (2008a). Comparative Economic Development: Insight from Unified Growth Theory. [Retrieved from].
Galor, O. (2008b). Economic Growth in the Very Long Run. In: Durlauf, S.N. and Blume, L.E., Eds., The New Palgrave Dictionary of Economics. Palgrave Macmillan, New York. doi. 10.1057/9780230226203.0434
Galor, O. (2008c). Comparative Economic Development: Insight from Unified Growth Theory. [Retrieved from].
Galor, O. (2010). The 2008 Lawrence R. Klein Lecture—Comparative Economic Development: Insights from Unified Growth Theory. International Economic Review, 51, 1-44. doi. 10.1111/j.1468-2354.2009.00569.x
Galor, O. (2011). Unified Growth Theory. Princeton, New Jersey: Princeton University Press.
Galor, O. (2012a). Unified Growth Theory and Comparative Economic Development. [Retrieved from].
Galor, O. (2012b). The Demographic Transition: Causes and Consequences. Cliometrica, 6, 1-28. doi. 10.1007/s11698-011-0062-7
Galor, O. (2012c). Unified Growth Theory and Comparative Economic Development. [Retrieved from].
Galor, O. & Moav, O. (2002). Natural Selection and the Origin of Economic Growth. The Quarterly Journal of Economics, 117, 1133-1191. doi. 10.1162/003355302320935007
Grebe, T., Schmid, J., & Stiehler, A. (2008). Do individuals recognize cascade behavior of others? – An experimental study. Journal of Economic Psychology, 29(2), 197-209. doi. 10.1016/j.joep.2007.05.003
Haub, C. (1995). How Many People Have Ever Lived on Earth? Population Today, February.
Kapitza, S.P. (2006). Global population blow-up and after. Hamburg: Global Marshall Plan Initiative.
Kremer, M. (1993). Population Growth and Technological Change: One Million B.C. to 1990. Quarterly Journal of Economics, 108(3), 681-716. doi. 10.2307/2118405
Livi-Bacci, M. (1997). A Concise History of World Population (2nd ed.). Malden, MA: Blackwell Publishers.
Maddison, A. (2001). The World Economy: A Millennial Perspective. Paris: OECD.
Maddison, A. (2010). Historical Statistics of the World Economy: 1-2008 AD. [Retrieved from].
McEvedy, C., & Jones, R. (1978). Atlas of World Population History. Middlesex, England: Penguin.
Nielsen, R.W. (2014). Changing the Paradigm. Applied Mathematics, 5, 1950-1963. doi. 10.4236/am.2014.513188
Nielsen, R.W. (2015a). Unified Growth Theory contradicted by the GDP/cap data. [Retrieved from].
Nielsen, R. W. (2015b). The insecure future of the world economic growth. Journal of Economic and Social Thought, 2(4), 242-255.
Nielsen, R.W. (2016a). Mathematical analysis of the historical economic growth with a search for takeoffs from stagnation to growth. Journal of Economic Library, 3(1), 1-23.
Nielsen, R.W. (2016b). Growth of the world population in the past 12,000 years and its link to the economic growth. Journal of Economics Bibliography, 3(1), 1-12.
Nielsen, R.W. (2016c). The postulate of the three regimes of economic growth contradicted by data. Journal of Economic and Social Thought, 3(1), 1-34.
Nielsen, R.W. (2016d). Unified Growth Theory contradicted by the mathematical analysis of the historical growth of human population. Journal of Economics and Political Economy. 3(2), 242-263.
Nielsen, R.W. (2016e). Unified Growth Theory contradicted by the absence of takeoffs in the Gross Domestic Product. Turkish Economic Review, 3(1), 16-27.
Nielsen, R.W. (2016f). Puzzling properties of the historical growth rate of income per capita explained. Journal of Economics Library, 3(2), 241-256.
McKay, J.P., Hill, B.D., Buckler, J., Ebrey, P.B., Beck, R.B., Crowston, C.H., &Wiesner-Hanks, M.E. (2012). A History of World Societies: From 1775 to Present. Volume C – From 1775 to the Present.Ninth edition. Boston, MA: Bedford Books.
Pakenham, T. (1992). The Scramble for Africa: White Man’s Conquest of the Dark Continent from 1876-1912. New York: Avon Books.
Ondrias, K. (1999). The brain, consciousness & illusion of truth (E. Nazinska, Trans. & Ed.). Boca Raton, FL: Universal Publishers.
Parks, C.M., & Tooth, J.P. (2006). Fluency, familiarity, aging, and the illusion of truth. Aging, neuropsychology, and cognition, 13, 225–253
Pereira, E. (2011). Developing Countries Will Lead Global Growth in 2011, Says World Bank. [Retrieved from].
Podlazov, A.V. (2002). Theoretical demography: Models of population growth and global demographic transition (in Russian). In Advances in Synergetics: The Outlook for the Third Millennium (pp. 324–345). Moscow: Nauka.
Ramsey, M., Raafat, R.M., Chater, N., & Frith, C. (2009). Herding in humans. Trends in Cognitive Sciences, 13(10), 420-428.
Shklovskii, J.S. (1962). The universe, life and mind, (in Russian). Moscow: Academy of Science, USSR.
Shklovskii, J.S. (2002). The universe life and mind (5th edn.). John Wiley and Sons, Ltd, New York, US.
Snowdon, B., & Galor, O. (2008).Towards a Unified Theory of Economic Growth.World Economics, 9, 97-151.
Taeuber, C., & Taeuber, I.B. (1949). World Population Trends. Journal of Farm Economics, 31(1), 241.
Thomlinson, R. (1975). Demographic Problems, Controversy Over Population Control (2nd ed.). Encino, Ca.: Dickenson Pub.
Trager, J. (1994). The People's Chronology: A Year-by-Year Record of Human Events from Prehistory to the Present. New York, NY: Henry Holt and Company.
von Foerster, H., Mora, P., & Amiot, L. (1960). Doomsday: Friday, 13 November, A.D. 2026. Science, 132, 1291-1295.
von Hoerner, S.J. (1975). Population explosion and interstellar expansion. Journal of the British Interplanetary Society, 28, 691-712.
Walden, E.A., & Browne, G.J. (2003). Running with the pack: An empirical examination of information cascades in the adoption of novel technologies. Lubbock: Texas Tech. University.
DOI: http://dx.doi.org/10.1453/ter.v3i2.766
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