IDEAS home Printed from https://ideas.repec.org/p/osf/osfxxx/84tgs.html
   My bibliography  Save this paper

The normal, the natural, and the harmonic

Author

Listed:
  • 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
    as

    Download full text from publisher

    File URL: https://osf.io/download/61c09b91a23afc0431164471/
    Download Restriction: no

    File URL: https://libkey.io/10.31219/osf.io/84tgs?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    References listed on IDEAS

    as
    1. Modis, Theodore, 1992. "Chaoslike states can be expected before and after logistic growth," OSF Preprints z6yf7, Center for Open Science.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    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.

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Modis, Theodore, 2022. "Strengths and weaknesses of the logistic function used in forecasting," OSF Preprints mrwu3, Center for Open Science.
    2. 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.
    3. 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.
    4. 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.

    More about this item

    Statistics

    Access and download statistics

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:osf:osfxxx:84tgs. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: OSF (email available below). General contact details of provider: https://osf.io/preprints/ .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.