8.1. Introduction

The objective of this chapter is to show how the connection of several models from different formalisms and perceptions can be used in the research on the evolution of the organization of space. From simple, iconic models to mathematical models, all use observed reality as their reference and offer a schematic representation. In the following pages, we have attempted to link models of a different nature and for which the term "schematic representation" takes a variety of meanings. A first model uses the principles of signal physics to extract information on land surface from a satellite image and a second model corresponds to a demographic logic and is based on the representation of the characteristics and behaviors of urban populations taken from surveys. The satellite image is then used to serve as a foundation for a new interpretation of the potential model in the hope of determining the most attractive urban areas in a migratory perspective. Finally, the results obtained will be introduced in a dynamic model of residential mobility and of territorial reorganization. The methodology adopted is based on the connection of a group of "models" different in their objectives and in their formalization. Although conceptual differences exist between each step, the satellite image or a direct derivative constitutes the lead in this chapter. We will go in these sections from an iconic model to a spatial distribution model of urban forms reflecting the distribution of the...