Introduction
- I.1 The scientific practice of the geographer
- I.2 The three forms of geography projects
- I.3 Plan of the work
- I.4 How should this work be read?
- I.5 Appendix 1: a general modeling language Mathematica
Part 1: Modeling the Relationships between Societies and Nature
Introduction
1: The Theoretical Context of Classical Geography
- Abstract
- 1.1 Environmentalism – a theory that is still rejected
- 1.2 The theoretical double paradox of classical geography
- 1.3 The general theory of systems and the theories derived therefrom
- 1.4 Conclusion
- 1.5 Appendix 2: Importing data within Mathematica
2: Statistical and Probability Models for Given Relationships Between Societies and the Natural Environment
- Abstract
- 2.1 Acknowledging the probability model for recorded data
- 2.2 Modeling the relationships between two or several variables
- 2.3 Temporalities and time series models
- 2.4 Conclusion
- 2.5 Appendix 3: chronological program processing
3: Models of Ordinary Dynamic Systems
- Abstract
- 3.1 Four lines of questioning to understand the behavior of a dynamic system
- 3.2 Initiation in the modeling of dynamic systems
- 3.3 Assets and restrictions of ODE models
- 3.4 More realistic models of geographical systems
- 3.5 Conclusion
- 3.6 Appendix 4: crowd behavior in catastrophic situations
Part 2: Modeling Geographic Locations
Introduction
4: Theories of Geographical Locations
- Abstract
- 4.1 Introduction to spatial economic theories
- 4.2 A new urban economy and a new economic geography
- 4.3 Conclusion
5: Theoretical Geolocation Models
- Abstract
- 5.1 Von Thünen and d’Alonso’s monocentric and polycentric models
- 5.2 Steiner’s model generalizes Weber’s
- 5.3 Central place models in the making
- 5.4 Conclusion
Part 3: Spatial Structures and Territorial Dynamics
Introduction
6: Theories Used to Understand Territorial Structures and Dynamics
- Abstract
- 6.1 From terrestrial to geographical space
- 6.2 Some theories drawn from various fields and used to explain simple territorial forms
- 6.3 From morphology to morphogenesis
- 6.4 An overview of morphogenetic theories
- 6.5 Conclusion
- 6.6 Appendix 5: globalization at the root of a paradox: homogenization and global fracturing
7: Models of Basic Structures: Points and Fields
- Abstract
- 7.1 Modeling the point structures of a geographical space
- 7.2 Modeling geographical fields
- 7.3 Conclusion
- 7.4 Appendix 6: Introduction to the morphometric analysis of the Grenoble Alps
8: Models of Basic Structures: Networks
- Abstract
- 8.1 The two aspects of a network: graphs and matrices
- 8.2 Modeling the structure of a spatial network
- 8.3 Qualitative geographical models and graph theory
- 8.4 Modeling network dynamics
- 8.5 Conclusion
- 8.6 Appendix 7: A geometric approach to the network of French metropolises
9: Geographical Space as a Mixture of Basic Spatial Structures
- Abstract
- 9.1 Testing links between two elementary spatial structures
- 9.2 Modeling complex spatial structures: machine learning and choremes
- 9.3 Modeling multiscale spatial structures
- 9.4 Conclusion
10: Morphogenetic Macro- and Micro-models
- Abstract
- 10.1 Time series typical of morphogenetic theories
- 10.2 Modeling the dynamics of territorial systems: from ODEs to PDEs
- 10.3 Cellular automata, Brownian motions and multi-agent systems
- 10.4 Conclusion
- 10.5 Appendix 8: simulating urban growth along the French Riviera with a cellular automata model