The aim of this book is to provide an overview of the concepts and methods used in fractal analysis and modeling in order to study the spatial distribution of human settlements. The main concepts and mathematical tools are reviewed, and emphasis is placed on the practical benefits of their application and the pitfalls to be avoided when using them.
The first part of the book is devoted to the basic concepts and geometric reference figures required for fractal analysis in human geography. In the second part, the principles of four major families of analysis methods are explained in detail: fractal analyses of point sequences, fractal methods for morphological delineation of urban agglomerations, multifractal analyses and cross scale signatures. The third part of the book is devoted to applications of fractal geometry in urban and regional planning.
Part 1. Basic Concepts and Reference Figures.
1. Introduction to Fractal Analysis and Modeling in Human Geography, Cécile Tannier and François Sémécurbe.
2. Basic Concepts for Fractal Analysis and Modeling in Human Geography, Cécile Tannier.
3. Fractal Reference Figures, Cécile Tannier.
Part 2. Fractal and Multifractal Analyses of the Spatial Distribution of Human Settlements.
4. Fractal Analysis Methods for Characterizing the Spatial Distribution of Human Settlements, Cécile Tannier, Gaëtan Montero, François Sémécurbe and Isabelle Thomas.
5. Morphological Delineation of Urban Agglomerations: Comparison of Fractal and Non-Fractal Methods, Gaëtan Montero, Cécile Tannier and Isabelle Thomas.
6. Multifractal Analyses of Population Distributions, François Sémécurbe and Cécile Tannier.
7. Characterizing Deviations from Scale Invariance Using Cross-Scale Signatures, François Sémécurbe and Cécile Tannier.
Part 3. Urban Forms and Fractal Planning.
8. Principles of Fractal Planning and Urban Design, Cécile Tannier.
9. Multifractal Forward Planning: The Fractalopolis Model Applied to the Case of Greater Paris, Pierre Frankhauser and Olivier Bonin.
Cécile Tannier is Senior Researcher in geography and planning at the ThéMA laboratory, France. Her main areas of research are location dynamics in urban settings, the shape of cities and dynamic modeling of settlement systems