Mechanism of Hyperbolic Growth Explained
Abstract. Fundamental law of growth is used to explain the mechanism of hyperbolic growth of human population and of the Gross Domestic Product (GDP). Hyperbolic growth is described by a simple mathematical formula and the explanation of its mechanism turns out to be also simple. Historical economic growth was prompted by the familiar net market force, which was on average directly proportional to the existing wealthexpressed usually as the GDP. The larger was the GDP, the stronger was the driving force and the faster was the economic growth. It is shown that this simple force generates hyperbolic growth. No other force is required. Hyperbolic growth is not assumed but derived when using this force. Historical growth of population was prompted by thebiologically driven force of procreation, which was on average approximately constant per person. This force includes the natural, familiar, biologically controlled process of births, aging and dying. Here again, hyperbolic growth is not assumed but derived when using this force.Explanation of two demographic transitions in the past 12,000 years in the growth of population and of the currently experienced transition is also proposed. Currently, economic growth and the growth of population are no longer unconstrained. Other additional forces contribute significantly to the growth process and the growth is no longer hyperbolic.
Keywords. Hyperbolic growth, Mechanism of growth, Population growth, Economic growth.
JEL. A10, A12, A20, B41, C02, C20, C50, Y80.
Ashraf, Q.H. (2009). Essays on Deep Determinants of Comparative Economic Development. Ph.D. Thesis, Department of Economics, Brown University, Providence.
Biraben, J-N. (1980). An Essay Concerning Mankind's Evolution. Population, Selected Papers, December.
Clark, C. (1968). Population Growth and Land Use. New York, NY: St Martin's Press.
Cobb, C.W. & Douglas, P.H. (1928). A Theory of Production. American Economic Review, 18(1), 139-165.
Cook, R.C. (1960). World Population Growth. Law and Contemporary Problems, 25(3), 379-388.
de Broglie, L. (1924). Recherches sur la théorie des quanta, PhDThesis. Paris. Masson.
Durand, J.D. (1974). Historical Estimates of World Population: An Evaluation. Analytical and Technical Reports, Number 10. University of Pennsylvania, Population Center.
Einstein, A. (1905a). Ist die Trägheit eines Körpers von seinem Energieinhalt abhängig? Annalen der Physik, 14, 225-228. doi. 10.1002/andp.200590007
Einstein, A. (1905b). Über einen die Erzeugung und Verwandlung des Lichtes betreffenden heuristischen Gesichtspunkt. Annalen der Physik, 17(6), 132–148. doi. 10.1002/andp.19053220607
Feynman, R. (1987). The Character of Physical Law. Massachusetts: The MIT Press.
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(2-3), 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), 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), 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(4), 1133-1191. doi. 10.1162/003355302320935007
Gallant, R.A. (1990). The Peopling of Planet Earth: Human Growth through the Ages. New York, NY: Macmillan Publishing Company.
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.
Karev, G.P. (2005). Dynamics of inhomogeneous populations and global demography models. [Retrieved from].
Karev, G.P. & Kareva, I. G. (2014). Replicator Equations and Models of Biological Populations and Communities. Math. Model. Nat. Phenom., 9(3), 68-95. doi. 10.1051/mmnp/20149305
Kurzweil, R. (2005). The Singularity is Near. New York: Viking Adult.
Kremer, M. (1993). Population Growth and Technological Change: One Million B.C. to 1990. The 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. (2010). Historical Statistics of the World Economy: 1-2008 AD. [Retrieved from].
Malthus, T.R. (1798). An Essay on the Principle of Population. London: J. Johnson.
McEvedy, C. & Jones, R. (1978). Atlas of World Population History. Harmondsworth, Middlesex, England: Penguin Books Ltd.
Newton, I. (1687). Philosophiae Naturalis Principia Mathematica. London: Benjamin Motte.
Nielsen, R. (2006). The Green Handbook: Seven trends shaping the future of our planet. New York: St. Martin’s Press.
Nielsen, R.W. (2011). Nuclear Reactions: Mechanism and Spectroscopy (Second Edition). Gold Coast, Australia: Griffith University. [Retrieved from].
Nielsen, R.W. (2014). Changing the Paradigm. Applied Mathematics, 5, 1950-1963. doi. 10.4236/am.2014.513188
Nielsen, R.W. (2016a). 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. (2016b). 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. (2016c). 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. (2016d). The Law of Growth. Journal of Economic and Social Thought, 3(4), 481-489.
Nielsen, R.W. (2016e). Industrial Revolution did not boost the economic growth or the growth of population even in the United Kingdom. Journal of Economic Bibliography, 3(4), 577-589.
Nielsen, R.W. (2016f). The dichotomy of Malthusian positive checks: Destruction and even more intensified regeneration. Journal of Economic Bibliography, 3(3), 409-433.
Nielsen, R.W. (2016g). Interpretations of Hyperbolic Growth. Journal of Economics and Political Economy, 3(4), 594-626.
Nielsen, R.W. (2016h). Early warning signs of the economic crisis in Greece: A warning for other countries and regions. Journal of Economics and Political Economy, 2(4), 460-466.
Nielsen, R.W. (2016i). The Insecure Future of the World Economic Growth. Journal of Economic and Social Thought, 2(4), 242-255.
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.
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.
Teeple, J.B. (2002). Timelines of World History, London, Dorling Kindersley Publishing Inc.
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.
United Nations, (1973). The Determinants and Consequences of Population Trends, Population Studies, No. 50., p.10.
United Nations, (1999). The World at Six Billion, [Retrieved from].
United Nations, (2013). World Population Prospects: The 2012 Revision, DVD Edition. Washington DC: United Nations, Department of Economic and Social Affairs, Population Division, [Retrieved from].
US Census Bureau, (2016). International Data Base. [Retrieved from].
Vinge, V. (1993). The coming technological singularity: How to survive in the post-human era. In Vision21: Interdisciplinary Science and Engineering in the Era of Cyberspace. (pp. 11-22). NASA. Lewis Research Center. [Retrieved from].
von Foerster, H., Mora, P., & Amiot, L. (1960). Doomsday: Friday, 13 November, A.D. 2026. Science, 132, 255-296.
von Hoerner, S.J. (1975). Population Explosion and Interstellar Expansion. Journal of the British Interplanetary Society, 28, 691-712.
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