IDEAS home Printed from https://ideas.repec.org/h/spr/sprchp/978-94-009-6239-2_5.html
   My bibliography  Save this book chapter

The Analysis of Bifurcation Phenomena Associated with the Evolution of Urban Spatial Structure

In: Bifurcation Analysis

Author

Listed:
  • M. Clarke

    (University of Leeds, School of Geography)

  • A. G. Wilson

    (University of Leeds, School of Geography)

Abstract

One of the more interesting developments in urban and regional modelling in recent years has been the analysis of the bifurcation properties of a wide variety of models. Just as Jay Forrester’s (1969) attempts to explicitly focus on urban dynamics provided the impetus for those within the modelling discipline to move away from purely static analysis, the innovative work of Thorn, Zeeman and others has brought the notion of bifurcation behaviour to the notice of those currently engaged in urban modelling. In this paper we outline how we have attempted to analyse the bifurcation properties of a well-known set of spatial interaction and activity models, both in their equilibrium and disequilibrium formulations. In addition, we give a number of illustrations of numerical simulations performed for both a 729-zone hypothetical system and also a 30 x 900 Leeds system where we explicitly focus on the problem of modelling urban spatial structure. (A much fuller set of results can be found in Clarke and Wilson, 1984).

Suggested Citation

  • M. Clarke & A. G. Wilson, 1985. "The Analysis of Bifurcation Phenomena Associated with the Evolution of Urban Spatial Structure," Springer Books, in: M. Hazewinkel & R. Jurkovich & J. H. P. Paelinck (ed.), Bifurcation Analysis, pages 67-99, Springer.
    • Handle: RePEc:spr:sprchp:978-94-009-6239-2_5
    DOI: 10.1007/978-94-009-6239-2_5
    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
    for a similarly titled item that would be available.

    More about this item

    Keywords

    ;
    ;
    ;
    ;
    ;

    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:spr:sprchp:978-94-009-6239-2_5. 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.