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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
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    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.

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    Bibliographic Info

    Article provided by Elsevier in its journal Physica A: Statistical Mechanics and its Applications.

    Volume (Year): 294 (2001)
    Issue (Month): 3 ()
    Pages: 465-502

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    Handle: RePEc:eee:phsmap:v:294:y:2001:i:3:p:465-502

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    Web page: http://www.journals.elsevier.com/physica-a-statistical-mechpplications/

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    Cited by:
    1. D. Sornette & W. -X. Zhou, 2003. "The US 2000-2003 Market Descent: Clarifications," Papers cond-mat/0305004, arXiv.org.
    2. 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.
    3. Andreas H\"usler & Didier Sornette & Cars H. Hommes, 2012. "Super-exponential bubbles in lab experiments: evidence for anchoring over-optimistic expectations on price," Papers 1205.0635, arXiv.org.
    4. Jakub Growiec, 2009. "Knife-Edge Conditions in the Modeling of Long-Run Growth Regularities," National Bank of Poland Working Papers 68, National Bank of Poland, Economic Institute.
    5. 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.
    6. D. Sornette & R. Woodard, . "Financial Bubbles, Real Estate bubbles, Derivative Bubbles, and the Financial and Economic Crisis," Working Papers CCSS-09-003, ETH Zurich, Chair of Systems Design.
    7. Didier Sornette & Ryan Woodard, 2009. "Financial Bubbles, Real Estate bubbles, Derivative Bubbles, and the Financial and Economic Crisis," Papers 0905.0220, arXiv.org.
    8. 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.
    9. 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.
    10. 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.

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