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Publication Detail
Rate effects on the growth of centres
  • Publication Type:
    Journal article
  • Publication Sub Type:
    Article
  • Authors:
    Fry H, Smith FT
  • Publication date:
    07/07/2016
  • Journal:
    European Journal of Applied Mathematics
  • Status:
    In preparation
  • Keywords:
    Retail modelling, Spatial interaction, Entropy maximisation
Abstract
Spatial interaction model that maximise entropy have been exploited widely in a range of disciplines and applications: from trade and migration flows to the spread of riots and understanding the spatio-temporal patterns of burglaries. When embedded into a dynamical system and framed in the context of a retail system, the dynamics of centre growth poses an interesting mathematical problem, with bifurcations and phase changes, which may be addressed analytically. In this paper we present some analysis of the continuous retail model and the corresponding discrete version, which yields insights into the effect of space on the evolving system, and an understanding of why certain retail centres are more successful than others.
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Centre for Advanced Spatial Analysis
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Dept of Mathematics
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