IDEAS home Printed from
   My bibliography  Save this article

A conditional-probability approach to the development of spatial pattern


  • J Odland


A stochastic model for the development of spatial patterns is introduced and used to investigate the process of housing deterioration in an American city. Space is treated as a sequence of discrete locations and a spatial-lag structure is incorporated in the model by defining multivalued random variables whose values indicate conditions at a central location and at a series of spatial lags. The possible combinations of these values define the states of a Markov process, and a description of this process can be obtained by estimating probabilities for the transitions from state to state. Qualitative inferences about the effects of a process on existing spatial patterns are obtained by comparing an initial distribution, for the multivalued random variables, with the limiting distribution implied by the process description. Application of the model involves selection of an appropriate random variable as well as estimation of a set of transition probabilities. Results for Indianapolis in 1977 indicate that the probability of housing deterioration is strongly associated with the presence of deteriorated structures in nearby locations.

Suggested Citation

  • J Odland, 1979. "A conditional-probability approach to the development of spatial pattern," Environment and Planning A, Pion Ltd, London, vol. 11(3), pages 313-326, March.
  • Handle: RePEc:pio:envira:v:11:y:1979:i:3:p:313-326

    Download full text from publisher

    File URL:
    File Function: abstract
    Download Restriction: Fulltext access restricted to subscribers, see for details

    File URL:
    File Function: main text
    Download Restriction: Fulltext access restricted to subscribers, see for details

    As the access to this document is restricted, you may want to search for a different version of it.


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

    Cited by:

    1. Elizabeth Delmelle & Jean-Claude Thill & Chunhua Wang, 2016. "Spatial dynamics of urban neighborhood quality of life," The Annals of Regional Science, Springer;Western Regional Science Association, vol. 56(3), pages 687-705, May.

    More about this item


    Access and download statistics


    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:pio:envira:v:11:y:1979:i:3:p:313-326. See general information about how to correct material in RePEc.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: (Neil Hammond). General contact details of provider: .

    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 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.

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

    IDEAS is a RePEc service hosted by the Research Division of the Federal Reserve Bank of St. Louis . RePEc uses bibliographic data supplied by the respective publishers.