A contact model for spatial allocation

Abstract

Karlqvist A. and Lundqvist L. (1972) A contact model for spatial allocation, Reg. Studies 6, 401–419. A mathematical model for the spatial allocation of activities within an urban region is discussed. It is based on the idea of mutual contacts between activities, which are located simultaneously. This formulation leads to a quadratic programming model, non-convex in general. Some simple optimality properties are derived, and a case-study based on the regional planning in Stockholm is presented. Different plan alternatives are evaluated with respect to accessibility and optimal location patterns are derived. The optimal solutions are especially sensitive to changes in the transportation network and the modal split.