Approaches to Geo-mathematical Modelling (eBook)

Alan Geoffrey Wilson, Centre for Advanced Spatial Analysis, University College London, UK. His research interests have been concerned with many aspects of mathematical modelling and the use of models in planning in relation to all aspects of cities and regions - including demography, economic input-output modelling, transport and locational structures. He was responsible for the introduction of a number of model building techniques which are now in common use internationally. These models have been widely used in areas such as transport planning. He made important contributions through the rigorous deployment of accounts' concepts in demography and economic modelling. In recent years he has been particularly concerned with applications of dynamical systems theory in relation to the task of modelling the evolution of urban structure, initially described in Catastrophe theory and bifurcation: applications to urban and regional systems. His current research, supported by ESRC and EPSRC grants of around ?3M, is on the evolution of cities and the dynamics of global trade and migration.

Notes on Contributors

Preface

Acknowledgements

About the companion website

Part 1. Approaches

Chapter 1. The tool kit
Alan Wilson

Part 2. Estimating missing data: biproportional fitting and principal components' analysis

Chapter 2. Inter-regional migration in Europe in relation to economic and labour market inequalities
Adam Dennett

Chapter 3. International trade flows
Simone Caschili and Alan Wilson

Chapter 4. Service flows in inter-regional input-output models
Rob Levy and Alan Wilson

Chapter 5. A method for estimating unknown national input-output tables using limited data
Thomas Oléron Evans and Rob Levy

Part 3. Dynamics in account-based models

Chapter 6. A dynamic global trade model
Hannah M. Fry, Alan Wilson and Frank

Chapter 7. Global dynamical modelling
Anthony Korte and Alan Wilson

Part 4. Space-time statistical analysis

Chapter 8. Space-time analysis of point patterns in Crime and Security events
Toby Davies, Shane Johnson, Alex Braithwaite and Elio Marchione

Part 5. Real time response models

Chapter 9. The London riots-1: epidemiology, spatial interaction and probability of arrest
Toby Davies, Hannah M. Fry, Alan Wilson and Steven Bishop

Chapter 10. The London riots-2: a discrete choice model/ an agent-based model
eter Baudains, Alex Braithwaite and Shane Johnson

Part 6. The mathematics of war

Chapter 11. Richardson models with space
Peter Baudains, Alex Braithwaite, Hannah M. Fry, Toby Davies, Alan Wilson and Steven R. Bishop

Part 7. Agent-based models

Chapter 12. Agent-based models of piracy
Elio Marchione, Shane Johnson and Alan Wilson

Chapter 13. A simple approach for the prediction of extinction events in multi-agent models
Thomas Oléron Evans, Steven R. Bishop and Frank T. Smith

Part 8. Diffusion models

Chapter 14. Urban agglomeration through the diffusion of investment impacts
Minette D'Lima, Francescs R. Medda and Alan Wilson

Part 9. Game theory

Chapter 15. From Colonel Blotto to Field Marshall Blotto
Peter Baudains, Toby Davies, Hannah M. Fry, and Alan Wilson

Chapter 16. Modelling strategic interactions in a global context
Janina Beiser

Chapter 17. A general framework for static, spatially explicit games of search and concealment
Thomas Oléron Evans, Steven R. Bishop and Frank T. Smith

Part 10. Networks

Chapter 18. Network evolution: a transport example
Francesca Pagliara, Alan Wilson and Valerio de Martinis

Chapter 19. The structure of global transportation networks
Sean Hanna, Joan Serras and Tasos Varoudis

Chapter 20. Trade networks and optimal consumption
Rob Downes and Rob Levy

Part 11. Integration

Chapter 21. Research priorities
Alan Wilson

Index