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Interpretations of Hyperbolic Growth

Author

Listed:
  • Ron W. NIELSEN

    (Griffith University, Environmental Futures Research Institute, Australia.)

Abstract

Hyperbolic growth describes the historical economic growth and historical growth of population, but their mechanism remains unexplained. Presented here is a brief survey of attempts to understand hyperbolic growth. Mathematical formulations are in general complicated and there is no clear advantage in using them because they do not give better description of data than the simple, two-parameter hyperbolic formula. They also do not explain the mechanism of growth. The well-known simple formula suggests a simple explanation. Two examples show how two independent investigations were on a brink of making an important and breakthrough discovery and how their potential discovery was thwarted by the established knowledge in demography and in economic research. Researchers who could have used their expertise to suggests new research directions and to advance science were constrained by doctrines, which are widely accepted by faith.

Suggested Citation

  • Ron W. NIELSEN, 2016. "Interpretations of Hyperbolic Growth," Journal of Economics and Political Economy, EconSciences Journals, vol. 3(4), pages 594-626, December.
    • Handle: RePEc:cvv:journ1:v:3:y:2016:i:4:p:594-626
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    References listed on IDEAS

    as
    1. Ron W Nielsen, 2016. "Mathematical analysis of historical income per capita distributions," Papers 1603.01685, arXiv.org, revised Apr 2016.
    2. 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.
    3. Ron W. NIELSEN, 2016. "Mathematical Analysis of Income Per Capita in the United Kingdom," Turkish Economic Review, KSP Journals, vol. 3(4), pages 551-561, December.
    4. Ron W. NIELSEN, 2016. "The Postulate of the Three Regimes of Economic Growth Contradicted by Data," Journal of Economic and Social Thought, EconSciences Journals, vol. 3(1), pages 1-34, March.
    5. Ron W. NIELSEN, 2016. "Demographic Transition Theory and Its Link to the Historical Economic Growth," Journal of Economics and Political Economy, EconSciences Journals, vol. 3(1), pages 32-49, March.
    6. Artzrouni, Marc & Komlos, John, 1985. "Population Growth Through History and the Escape from the Malthusian Trap," Munich Reprints in Economics 3428, University of Munich, Department of Economics.
    7. Ron W. NIELSEN, 2016. "Scientifically Unacceptable Established Knowledge in Demography and in Economic Research," Journal of Economics Library, KSP Journals, vol. 3(3), pages 429-457, September.
    8. Oded Galor, 2010. "The 2008 Lawrence R. Klein Lecture-Comparative Economic Development: Insights From Unified Growth Theory," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 51(1), pages 1-44, February.
    9. Ron W. NIELSEN, 2016. "Mathematical Analysis of Historical Income Per Capita Distributions," Turkish Economic Review, EconSciences Journals, vol. 3(2), pages 300-319, June.
    10. 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.
    11. Andrey Korotayev & Artemy Malkov, 2012. "A Compact Mathematical Model of the World System Economic and Demographic Growth, 1 CE - 1973 CE," Papers 1206.0496, arXiv.org.
    12. Ron W. NIELSEN, 2016. "The Postulate of the Three Regimes of Economic Growth Contradicted by Data," Journal of Economic and Social Thought, KSP Journals, vol. 3(1), pages 1-34, March.
    13. Ron W. NIELSEN, 2016. "Demographic Transition Theory and Its Link to the Historical Economic Growth," Journal of Economics and Political Economy, KSP Journals, vol. 3(1), pages 32-49, March.
    14. Ron W. NIELSEN, 2016. "Scientifically Unacceptable Established Knowledge in Demography and in Economic Research," Journal of Economics Library, EconSciences Journals, vol. 3(3), pages 429-457, September.
    15. Ron W. NIELSEN, 2016. "Mathematical Analysis of Income Per Capita in the United Kingdom," Turkish Economic Review, EconSciences Journals, vol. 3(4), pages 551-561, December.
    16. Ron W Nielsen, 2016. "The Postulate of the Three Regimes of Economic Growth Contradicted by Data," Papers 1602.05718, arXiv.org, revised Mar 2016.
    17. Ron W. NIELSEN, 2016. "Mathematical Analysis of Historical Income Per Capita Distributions," Turkish Economic Review, KSP Journals, vol. 3(2), pages 300-319, June.
    18. Johansen, Anders & Sornette, Didier, 2001. "Finite-time singularity in the dynamics of the world population, economic and financial indices," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 294(3), pages 465-502.
    19. Oded Galor, 2005. "The Demographic Transition and the Emergence of Sustained Economic Growth," Journal of the European Economic Association, MIT Press, vol. 3(2-3), pages 494-504, 04/05.
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    Cited by:

    1. Ron W. Nielsen, 2018. "Evidence-based Unified Growth Theory Vol.3," EconSciences Library Books, EconSciences Library Books, edition 1, number 978-605-2132-92-0.

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    JEL classification:

    • A10 - General Economics and Teaching - - General Economics - - - General
    • A12 - General Economics and Teaching - - General Economics - - - Relation of Economics to Other Disciplines
    • C02 - Mathematical and Quantitative Methods - - General - - - Mathematical Economics
    • C12 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods and Methodology: General - - - Hypothesis Testing: General
    • C20 - Mathematical and Quantitative Methods - - Single Equation Models; Single Variables - - - General
    • C50 - Mathematical and Quantitative Methods - - Econometric Modeling - - - General
    • Y80 - Miscellaneous Categories - - Related Disciplines - - - Related Disciplines

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