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Chaoslike states can be expected before and after logistic growth

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  • MODIS, THEODORE

Abstract

Instabilities associated with population growth can be simulated by putting the logistic growth curve in a discrete form. In contrast to the usual derivation of chaos, which can only explain instabilities at the top of the curve, this method can also account for fluctuations during the early phases of the niche-filling process. Precursors, a steep initial rise, and final instabilities can all be interrelated. Industrial examples are given of logistic growth alternating with periods of chaotic fluctuations.

Suggested Citation

  • Modis, Theodore, 1992. "Chaoslike states can be expected before and after logistic growth," OSF Preprints z6yf7, Center for Open Science.
    • Handle: RePEc:osf:osfxxx:z6yf7
    DOI: 10.31219/osf.io/z6yf7
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    Cited by:

    1. Modis, Theodore, 2022. "Strengths and weaknesses of the logistic function used in forecasting," OSF Preprints mrwu3, Center for Open Science.
    2. Petropoulos, Fotios & Apiletti, Daniele & Assimakopoulos, Vassilios & Babai, Mohamed Zied & Barrow, Devon K. & Ben Taieb, Souhaib & Bergmeir, Christoph & Bessa, Ricardo J. & Bijak, Jakub & Boylan, Joh, 2022. "Forecasting: theory and practice," International Journal of Forecasting, Elsevier, vol. 38(3), pages 705-871.
      • Fotios Petropoulos & Daniele Apiletti & Vassilios Assimakopoulos & Mohamed Zied Babai & Devon K. Barrow & Souhaib Ben Taieb & Christoph Bergmeir & Ricardo J. Bessa & Jakub Bijak & John E. Boylan & Jet, 2020. "Forecasting: theory and practice," Papers 2012.03854, arXiv.org, revised Jan 2022.
    3. Pistorius, C. W. I. (Carl W. I.), 1958- & Utterback, James M., 1941-, 1996. "A Lotka-Volterra model for multi-mode technological interaction : modeling competition, symbiosis and predator prey modes," Working papers #155-96. Working paper (S, Massachusetts Institute of Technology (MIT), Sloan School of Management.
    4. Modis, Theodore, 2007. "The normal, the natural, and the harmonic," OSF Preprints 84tgs, Center for Open Science.
    5. Venkatesan, Rajkumar & Kumar, V., 2002. "A genetic algorithms approach to growth phase forecasting of wireless subscribers," International Journal of Forecasting, Elsevier, vol. 18(4), pages 625-646.

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