Slater P B, 1982, "Hierarchical elimination and regionalization in spatial choice" Environment and Planning A 14(1) 127 – 130
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Hierarchical elimination and regionalization in spatial choice
P B Slater
Received 22 July 1980, in revised form 23 September 1981
Abstract. Spatial choice models have been criticized for their restrictive assumptions. In particular, the independence or constant-ratio axiom of Luce has been questioned because of its failure to account for the effects of similarity between alternatives. Tversky's elimination by aspects model provides a natural explanation of similarity effects, but cannot be estimated from binary probabilities. The elimination by tree or, equivalently, hierarchical elimination model is less restrictive than the constant-ratio model and more parsimonious than elimination by aspects. To estimate this model in a spatial interaction context, a hierarchical regionalization based upon interareal flow data is first obtained. The lengths of the links in the resultant tree structure are reestimated on the basis of choice probability ratios.
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