IDEAS home Printed from https://ideas.repec.org/a/sae/envira/v16y1984i10p1269-1278.html
   My bibliography  Save this article

The Yule—Simon Model in its Limiting Case as a Pure Migration Process

Author

Listed:
  • D R Vining Jr

    (Regional Science Department, University of Pennsylvania, Philadelphia, PA 19104, USA)

Abstract

In this paper the author offers an analytical solution to a problem first raised in 1973, namely, what is the equilibrium distribution of city sizes implied by the Yule–Simon model, when the total population of the urban system in question is stationary? Under the assumption that in-migration and out-migration rates are uncorrelated with city sizes, it is shown that Fisher's log-series distribution is that distribution. Fisher's log-series distribution yields a much less concentrated size distribution than does the Yule distribution, which is the equilibrium distribution associated with a pure growth process. Thus, we might expect a lower level of concentration or city size inequality when the overall urban system is stationary than when it is growing.

Suggested Citation

  • D R Vining Jr, 1984. "The Yule—Simon Model in its Limiting Case as a Pure Migration Process," Environment and Planning A, , vol. 16(10), pages 1269-1278, October.
    • Handle: RePEc:sae:envira:v:16:y:1984:i:10:p:1269-1278
    DOI: 10.1068/a161269
    as

    Download full text from publisher

    File URL: https://journals.sagepub.com/doi/10.1068/a161269
    Download Restriction: no
    File URL: https://libkey.io/10.1068/a161269?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
    ---><---

    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:sae:envira:v:16:y:1984:i:10:p:1269-1278. 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: SAGE Publications (email available below). General contact details of provider: .

    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.