ABSTRACT

The aim in this chapter is to take the classical models of Chapter 5 and show how they can be rewritten using the methods presented in Chapter 6 — a process begun in Wilson (1989), but worked out more fully here. The results are interesting in themselves; but the narrative is more important as an illustration of model-building in the interaction-location paradigm. We consider in turn agricultural location, industrial location, residential location and housing, services, transport, and finally an integrated approach, within which we can review the task of building an integrated model. Central place theory will be considered as part of the services section. In virtually every case, we will see that significant progress can be made by introducing a discrete spatial representation and an associated notation. It is also interesting that in each case, there is a new generation of 'classical' authors who achieve this shift but then represent their models in an optimising mathematical programming framework. We describe these developments briefly in each section as a stepping stone to the more powerful interaction-based dynamic models.