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The normal, the natural, and the harmonic

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  • MODIS, THEODORE

Abstract

Use is made of rigorous definitions for the terms normal, natural, and harmonic to reveal a number of unfamiliar aspects about them. The Gaussian distribution is not sufficient to determine who is normal, and fluctuations above or below a natural-growth curve may or may not be natural. A recipe for harmonically sustained natural growth requires that the overlap during the substitution process must be limited. As a consequence the overall growth process must experience good as well as bad "seasons". © 2006 Elsevier Inc. All rights reserved.

Suggested Citation

  • Modis, Theodore, 2007. "The normal, the natural, and the harmonic," OSF Preprints 84tgs, Center for Open Science.
    • Handle: RePEc:osf:osfxxx:84tgs
    DOI: 10.31219/osf.io/84tgs
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    1. Modis, Theodore, 1992. "Chaoslike states can be expected before and after logistic growth," OSF Preprints z6yf7, Center for Open Science.
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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. de Groot, E.A. & Segers, R. & Prins, D., 2021. "Disentangling the enigma of multi-structured economic cycles - A new appearance of the golden ratio," Technological Forecasting and Social Change, Elsevier, vol. 169(C).
    4. Benjamin Meadows & Charles Sims, 2023. "Can We Love Invasive Species to Death? Creating Efficient Markets for Invasive Species Harvests," Environmental & Resource Economics, Springer;European Association of Environmental and Resource Economists, vol. 85(2), pages 443-477, June.

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