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Finite-time singularity in the dynamics of the world population, economic and financial indices

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  • Johansen, Anders
  • Sornette, Didier

Abstract

Contrary to common belief, both the Earth's human population and its economic output have grown faster than exponential, i.e., in a super-Malthusian mode, for most of the known history. These growth rates are compatible with a spontaneous singularity occurring at the same critical time 2052±10 signaling an abrupt transition to a new regime. The degree of abruptness can be infered from the fact that the maximum of the world population growth rate was reached in 1970, i.e., about 80 years before the predicted singular time, corresponding to approximately 4% of the studied time interval over which the acceleration is documented. This rounding-off of the finite-time singularity is probably due to a combination of well-known finite-size effects and friction and suggests that we have already entered the transition region to a new regime. As theoretical support, a multivariate analysis coupling population, capital, R&D and technology shows that a dramatic acceleration in the population growth during most of the timespan can occur even though the isolated dynamics do not exhibit it. Possible scenarios for the cross-over and the new regime are discussed.

Suggested Citation

  • 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.
  • Handle: RePEc:eee:phsmap:v:294:y:2001:i:3:p:465-502
    DOI: 10.1016/S0378-4371(01)00105-4
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    References listed on IDEAS

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    Cited by:

    1. repec:rnp:ecopol:ep1701 is not listed on IDEAS
    2. Growiec, Jakub, 2010. "Knife-edge conditions in the modeling of long-run growth regularities," Journal of Macroeconomics, Elsevier, vol. 32(4), pages 1143-1154, December.
    3. Ide, Kayo & Sornette, Didier, 2002. "Oscillatory finite-time singularities in finance, population and rupture," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 307(1), pages 63-106.
    4. Puliafito, Salvador Enrique & Puliafito, José Luis & Grand, Mariana Conte, 2008. "Modeling population dynamics and economic growth as competing species: An application to CO2 global emissions," Ecological Economics, Elsevier, vol. 65(3), pages 602-615, April.
    5. Grosjean, Nicolas & Huillet, Thierry, 2016. "Deterministic versus stochastic aspects of superexponential population growth models," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 455(C), pages 27-37.
    6. Caetano, Marco Antonio Leonel & Yoneyama, Takashi, 2009. "A new indicator of imminent occurrence of drawdown in the stock market," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 388(17), pages 3563-3571.
    7. Ron W. NIELSEN, 2016. "Interpretations of Hyperbolic Growth," Journal of Economics and Political Economy, KSP Journals, vol. 3(4), pages 594-626, December.
    8. repec:eee:ecomod:v:221:y:2010:i:13:p:1702-1709 is not listed on IDEAS
    9. Sornette, D & Takayasu, H & Zhou, W.-X, 2003. "Finite-time singularity signature of hyperinflation," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 325(3), pages 492-506.
    10. Zhou, Wei-Xing & Sornette, Didier, 2004. "Antibubble and prediction of China's stock market and real-estate," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 337(1), pages 243-268.
    11. Hüsler, A. & Sornette, D. & Hommes, C.H., 2013. "Super-exponential bubbles in lab experiments: Evidence for anchoring over-optimistic expectations on price," Journal of Economic Behavior & Organization, Elsevier, vol. 92(C), pages 304-316.
    12. Didier Sornette & Ryan Woodard, 2009. "Financial Bubbles, Real Estate bubbles, Derivative Bubbles, and the Financial and Economic Crisis," Papers 0905.0220, arXiv.org.
    13. D. Sornette & W. -X. Zhou, 2003. "Evidence of Fueling of the 2000 New Economy Bubble by Foreign Capital Inflow: Implications for the Future of the US Economy and its Stock Market," Papers cond-mat/0306496, arXiv.org.
    14. Alexey Fomin & Andrey Korotayev & Julia Zinkina, 2016. "Negative oil price bubble is likely to burst in March - May 2016. A forecast on the basis of the law of log-periodical dynamics," Papers 1601.04341, arXiv.org.
    15. Askar Akaev & Andrey Korotayev, 2016. "Global economic dynamics of the forthcoming years. A forecast," Papers 1612.09189, arXiv.org.
    16. D. Sornette & W. -X. Zhou, 2003. "The US 2000-2003 Market Descent: Clarifications," Papers cond-mat/0305004, arXiv.org.
    17. Gajic, Nenad & Budinski-Petkovic, Ljuba, 2013. "Ups and downs of economics and econophysics — Facebook forecast," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 392(1), pages 208-214.
    18. Sandro Lera & Didier Sornette, 2015. "Secular bipolar growth rate of the real US GDP per capita: implications for understanding past and future economic growth," Papers 1607.04136, arXiv.org.
    19. Yan, Wanfeng & Woodard, Ryan & Sornette, Didier, 2012. "Diagnosis and prediction of rebounds in financial markets," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 391(4), pages 1361-1380.
    20. Jaffard, S. & Melot, C. & Leonarduzzi, R. & Wendt, H. & Abry, P. & Roux, S.G. & Torres, M.E., 2016. "p-exponent and p-leaders, Part I: Negative pointwise regularity," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 448(C), pages 300-318.
    21. Caetano, Marco Antonio Leonel & Yoneyama, Takashi, 2015. "Boolean network representation of contagion dynamics during a financial crisis," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 417(C), pages 1-6.
    22. Gee Kwang Randolph Tan & Xiao Qin, 2005. "Bubbles, Can We Spot Them? Crashes, Can We Predict Them?," Computing in Economics and Finance 2005 206, Society for Computational Economics.
    23. Sornette, Didier & Woodard, Ryan & Yan, Wanfeng & Zhou, Wei-Xing, 2013. "Clarifications to questions and criticisms on the Johansen–Ledoit–Sornette financial bubble model," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 392(19), pages 4417-4428.
    24. D. Sornette & R. Woodard, "undated". "Financial Bubbles, Real Estate bubbles, Derivative Bubbles, and the Financial and Economic Crisis," Working Papers CCSS-09-003, ETH Zurich, Chair of Systems Design.
    25. Sornette, Didier & Zhou, Wei-Xing, 2004. "Evidence of fueling of the 2000 new economy bubble by foreign capital inflow: implications for the future of the US economy and its stock market," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 332(C), pages 412-440.

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