IDEAS home Printed from https://ideas.repec.org/h/spr/sprchp/978-4-431-45978-1_8.html
   My bibliography  Save this book chapter

Time-Delayed Dynamic Model of Renewable Resource and Population

In: Time and Space in Economics

Author

Listed:
  • Akio Matsumoto

    (Chuo University)

  • Mami Suzuki

    (Aichi Gakusen University)

  • Yasuhisa Saito

    (Shizuoka University)

Abstract

Summary This chapter reconsiders the “Ricardo-Malthus” dynamic model of population and renewable resource developed by Brander and Taylor. To this end, it sheds light on a delay in production, which is a key feature of long-run evolution in a preindustrial economic society. It is clear that the delay has a considerable effect on the long-run dynamics of natural resources and population. This notwithstanding, much previous work relates to a case in which production is instantaneous. As such, the purpose of this chapter is to investigate the effect caused by the delay in production. Our analysis shows that there is a critical value of the delay with which a delayed version of an otherwise stable system becomes unstable. In addition, it shows numerically that the critical value is negatively related to the size of the carrying capacity and the exogenous net birth rate.

Suggested Citation

  • Akio Matsumoto & Mami Suzuki & Yasuhisa Saito, 2007. "Time-Delayed Dynamic Model of Renewable Resource and Population," Springer Books, in: Toichiro Asada & Toshiharu Ishikawa (ed.), Time and Space in Economics, chapter 8, pages 145-159, Springer.
    • Handle: RePEc:spr:sprchp:978-4-431-45978-1_8
    DOI: 10.1007/978-4-431-45978-1_8
    as

    Download full text from publisher

    To our knowledge, this item is not available for download. To find whether it is available, there are three options:
    1. Check below whether another version of this item is available online.
    2. Check on the provider's web page whether it is in fact available.
    3. Perform a search for a similarly titled item that would be available.

    Citations

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


    Cited by:

    1. Tiziana Ciano & Massimiliano Ferrara & Luca Guerrini, 2022. "Qualitative Analysis of a Model of Renewable Resources and Population with Distributed Delays," Mathematics, MDPI, vol. 10(8), pages 1-14, April.

    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:spr:sprchp:978-4-431-45978-1_8. 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.

    We have no bibliographic references for this item. You can help adding them by using 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: Sonal Shukla or Springer Nature Abstracting and Indexing (email available below). General contact details of provider: http://www.springer.com .

    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.