In part I of this book a dynamic migratory model connecting the microlevel of individual migration trends with the macrolevel of interregional migration is developed. Its derivation makes use of the master equation method. Applying a ranking regression analysis, the trend parameters of the model are correlated to regional socio-economic key factors. In part II the model is applied to interregional migration within the countries Federal Republic of Germany, Canada, France, Israel, Italy and Sweden. In part III a comparative analysis of the results is given. In part IV a selfcontained derivation of the master equation and of solutions relevant for the migratory system is given, the ranking regression analysis is exemplified and a computer program for the estimation of trendparameters is added.

The modeling of cities and territories has progressed greatly in the last 20 years. This is firstly due to geographic information systems, followed by the availability of large amounts of georeferenced data - both on the Internet and through the use of connected objects. In addition, the rise in performance of computational methods for the simulation and exploration of dynamic models has facilitated advancement. Geographical Modeling presents previously unpublished information on the main advances achieved by these new approaches. Each of the six chapters builds a bibliographic review and precisely describes the methods used, highlighting their advantages and discussing their interpretations. They are all illustrated by many examples. The book also explains with clarity the theoretical foundations of geographical analysis, the delicate operations of model selection, and the applications of fractals and scaling laws. These applications include gaining knowledge of the morphology of cities and the organization of urban transport, and finding new methods of building and exploring simulation models and visualizations of data and results.