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Spatial Diffusion Processes 2: Numerical Analysis

Author

Listed:
  • M J Webber

    (Department of Geography, McMaster University, Hamilton, Ontario L8S 4K1, Canada)

  • A E Joseph

    (Department of Geography, University of Guelph, Guelph, Ontario N1G 2W1, Canada)

Abstract

An earlier paper (Webber and Joseph, 1978) proposed a model of the process whereby messages diffuse between a system of cities and provided a means of approximating the solution to that model if cities can ‘self-infect’ themselves with the message. This paper continues the analysis of this model by investigating the case in which a city cannot send the message to itself. The analysis is numerical, and an alternative to Monte Carlo simulation is used. The results indicate that the diffusion process described by the model is highly predictable if information on the accessibility of cities is available. A second part of the paper shows that the approximation used in the earlier paper provides a reasonable description of the model solution for at least some parameter values.

Suggested Citation

  • M J Webber & A E Joseph, 1979. "Spatial Diffusion Processes 2: Numerical Analysis," Environment and Planning A, , vol. 11(3), pages 335-347, March.
    • Handle: RePEc:sae:envira:v:11:y:1979:i:3:p:335-347
    DOI: 10.1068/a110335
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