Nonlinear Dynamic Modelling of Spatial Interactions

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Abstract
Attention is focused on nonlinear modelling in space and time, with particular emphasis on migration behaviour. A pedagogic overview is provided of the use of dynamic models for migration behaviour based on synergetic dynamic effects. This is followed by an attempt at identifying bifurcation points in the framework of a simple residential choice model. The paper begins with a discussion of various issues related to dynamic (spatial) economic models. Then the master equation approach (and the related mean value model) is discussed as an interesting and promising dynamic modelling framework for spatial interactions with synergetic effects. Next, to illustrate the potential of this approach, a framework of a nonlinear dynamic migration model is presented. Last, some results of a simulation experiment with a simple discrete choice model are also presented, in which particular emphasis is placed on the identification of bifurcation points.

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