Approaches to Geo-mathematical Modelling (eBook, ePUB)
New Tools for Complexity Science
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New Tools for Complexity Science
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Geo-mathematical modelling: models from complexity science Sir Alan Wilson, Centre for Advanced Spatial Analysis, University College London Mathematical and computer models for a complexity science tool kit Geographical systems are characterised by locations, activities at locations, interactions between them and the infrastructures that carry these activities and flows. They can be described at a great variety of scales, from individuals and organisations to countries. Our understanding, often partial, of these entities, and in many cases this understanding is represented in theories and…mehr
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Geo-mathematical modelling: models from complexity science Sir Alan Wilson, Centre for Advanced Spatial Analysis, University College London Mathematical and computer models for a complexity science tool kit Geographical systems are characterised by locations, activities at locations, interactions between them and the infrastructures that carry these activities and flows. They can be described at a great variety of scales, from individuals and organisations to countries. Our understanding, often partial, of these entities, and in many cases this understanding is represented in theories and associated mathematical models. In this book, the main examples are models that represent elements of the global system covering such topics as trade, migration, security and development aid together with examples at finer scales. This provides an effective toolkit that can not only be applied to global systems, but more widely in the modelling of complex systems. All complex systems involve nonlinearities involving path dependence and the possibility of phase changes and this makes the mathematical aspects particularly interesting. It is through these mechanisms that new structures can be seen to 'emerge', and hence the current notion of 'emergent behaviour'. The range of models demonstrated include account-based models and biproportional fitting, structural dynamics, space-time statistical analysis, real-time response models, Lotka-Volterra models representing 'war', agent-based models, epidemiology and reaction-diffusion approaches, game theory, network models and finally, integrated models. Geo-mathematical modelling: * Presents mathematical models with spatial dimensions. * Provides representations of path dependence and phase changes. * Illustrates complexity science using models of trade, migration, security and development aid. * Demonstrates how generic models from the complexity science tool kit can each be applied in a variety of situations This book is for practitioners and researchers in applied mathematics, geography, economics, and interdisciplinary fields such as regional science and complexity science. It can also be used as the basis of a modelling course for postgraduate students.
Produktdetails
- Produktdetails
- Verlag: John Wiley & Sons
- Seitenzahl: 432
- Erscheinungstermin: 25. Juli 2016
- Englisch
- ISBN-13: 9781118937440
- Artikelnr.: 45532092
- Verlag: John Wiley & Sons
- Seitenzahl: 432
- Erscheinungstermin: 25. Juli 2016
- Englisch
- ISBN-13: 9781118937440
- Artikelnr.: 45532092
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
Notes on Contributors xv Acknowledgements xxi About the Companion Website
xxiii Part I APPROACHES 1 The Toolkit 3 Alan G. Wilson Part II ESTIMATING
MISSING DATA: BI-PROPORTIONAL FITTING AND PRINCIPAL COMPONENTS ANALYSIS 2
The Effects of Economic and Labour Market Inequalities on Interregional
Migration in Europe 9 Adam Dennett 2.1 Introduction 9 2.2 The Approach 12
2.3 Data 12 2.4 Preliminary Analysis 13 2.5 Multinomial Logit Regression
Analysis 15 2.6 Discussion 22 2.7 Conclusions 24 References 25 3 Test of
Bi-Proportional Fitting Procedure Applied to International Trade 26 Simone
Caschili and Alan G. Wilson 3.1 Introduction 26 3.2 Model 27 3.3 Notes of
Implementation 28 3.4 Results 30 References 32 4 Estimating Services Flows
33 Robert G. Levy 4.1 Introduction 33 4.2 Estimation Via Iterative
Proportional Fitting 34 4.3 Estimating Services Flows Using Commodities
Flows 37 4.4 A Comparison of The Methods 40 4.5 Results 45 4.6 Conclusion
49 References 50 5 A Method for Estimating Unknown National Input-Output
Tables Using Limited Data 51 Thomas P. Oléron Evans and Robert G. Levy 5.1
Motivation and Aims 51 5.2 Obstacles to The Estimation of National
Input-Output Tables 52 5.3 Vector Representation of Input-Output Tables 53
5.4 Method 54 5.5 In-Sample Assessment of The Estimates 58 5.6
Out-of-Sample Discussion of The Estimates 63 5.7 Conclusion 67 References
68 Part III DYNAMICS IN ACCOUNT-BASED MODELS 6 A Dynamic Global Trade Model
With Four Sectors: Food, Natural Resources, Manufactured Goods and Labour
71 Hannah M. Fry, Alan G. Wilson and Frank T. Smith 6.1 Introduction 71 6.2
Definition of Variables for System Description 73 6.3 The Pricing and Trade
Flows Algorithm 73 6.4 Initial Setup 75 6.5 The Algorithm to Determine
Farming Trade Flows 77 6.6 The Algorithm to Determine The Natural Resources
Trade Flows 80 6.7 The Algorithm to Determine Manufacturing Trade Flows 81
6.8 The Dynamics 83 6.9 Experimental Results 84 References 90 7 Global
Dynamical Input-Output Modelling 91 Anthony P. Korte and Alan G. Wilson 7.1
Towards a Fully Dynamic Inter-country Input-Output Model 91 7.2 National
Accounts 92 7.3 The Dynamical International Model 97 7.4 Investment:
Modelling Production Capacity: The Capacity Planning Model 100 7.5
Modelling Production Capacity: The Investment Growth Approach 103 7.6
Conclusions 121 References 122 Appendix 123 A.1 Proof of Linearity of the
Static Model and the Equivalence of Two Modelling Approaches 123 Part IV
SPACE-TIME STATISTICAL ANALYSIS 8 Space-Time Analysis of Point Patterns in
Crime and Security Events 127 Toby P. Davies, Shane D. Johnson, Alex
Braithwaite and Elio Marchione 8.1 Introduction 127 8.2 Application in
Novel Areas 132 8.3 Motif Analysis 138 8.4 Discussion 147 References 148
Part V REAL-TIME RESPONSE MODELS 9 The London Riots -1: Epidemiology,
Spatial Interaction and Probability of Arrest 153 Toby P. Davies, Hannah M.
Fry, Alan G. Wilson and Steven R. Bishop 9.1 Introduction 153 Contents ix
9.2 Characteristics of Disorder 156 9.3 The Model 158 9.4 Demonstration
Case 162 9.5 Concluding Comments 166 References 166 Appendix 168 A.1 Note
on Methods: Data 168 A.2 Numerical Simulations 169 10 The London Riots -2:
A Discrete Choice Model 170 Peter Baudains, Alex Braithwaite and Shane D.
Johnson 10.1 Introduction 170 10.2 Model Setup 170 10.3 Modelling the
Observed Utility 172 10.4 Results 176 10.5 Simulating the 2011 London
Riots: Towards a Policy Tool 181 10.6 Modelling Optimal Police Deployment
187 References 190 Part VI THE MATHEMATICS OF WAR 11 Richardson Models with
Space 195 Peter Baudains 11.1 Introduction 195 11.2 The Richardson Model
196 11.3 Empirical Applications of Richardson's Model 202 11.4 A Global
Arms Race Model 204 11.5 Relationship to a Spatial Conflict Model 206 11.6
An Empirical Application 207 11.7 Conclusion 212 References 213 Part VII
AGENT-BASED MODELS 12 Agent-based Models of Piracy 217 Elio Marchione,
Shane D. Johnson and Alan G. Wilson 12.1 Introduction 217 12.2 Data 219
12.3 An Agent-based Model 221 12.4 Model Calibration 232 12.5 Discussion
232 References 235 13 A Simple Approach for the Prediction of Extinction
Events in Multi-agent Models 237 Thomas P. Oléron Evans, Steven R. Bishop
and Frank T. Smith 13.1 Introduction 237 13.2 Key Concepts 238 13.3 The
NANIA Predator-prey Model 241 13.4 Computer Simulation 247 13.5 Period
Detection 249 13.6 A Monte Carlo Approach to Prediction 252 13.7
Conclusions 263 References 264 Part VIII DIFFUSION MODELS 14 Urban
Agglomeration Through the Diffusion of Investment Impacts 269 Minette
D'Lima, Francesca R. Medda and Alan G. Wilson 14.1 Introduction 269 14.2
The Model 270 14.3 Mathematical Analysis for Agglomeration Conditions 272
14.4 Simulation Results 275 14.5 Conclusions 279 References 279 Part IX
GAME THEORY 15 From Colonel Blotto to Field Marshall Blotto 283 Peter
Baudains, Toby P. Davies, Hannah M. Fry and Alan G. Wilson 15.1
Introduction 283 15.2 The Colonel Blotto Game and its Extensions 285 15.3
Incorporating a Spatial Interaction Model of Threat 286 15.4 Two-front
Battles 288 15.5 Comparing Even and Uneven Allocations in a Scenario with
Five Fronts 289 15.6 Conclusion 292 References 292 16 Modelling Strategic
Interactions in a Global Context 293 Janina Beiser 16.1 Introduction 293
16.2 The Theoretical Model 294 16.3 Strategic Estimation 295 16.4
International Sources of Uncertainty in the Context of Repression and
Rebellion 297 16.5 International Sources of Uncertainty Related to Outcomes
299 16.6 Empirical Analysis 301 16.7 Results 303 16.8 Additional
Considerations Related to International Uncertainty 304 16.9 Conclusion 304
References 305 17 A General Framework for Static, Spatially Explicit Games
of Search and Concealment 306 Thomas P. Oléron Evans, Steven R. Bishop and
Frank T. Smith 17.1 Introduction 306 17.2 Game Theoretic Concepts 307 17.3
Games of Search and Security: A Review 310 17.4 The Static Spatial Search
Game (SSSG) 314 17.5 The Graph Search Game (GSG) 324 17.6 Summary and
Conclusions 335 References 336 Part X NETWORKS 18 Network Evolution: A
Transport Example 343 Francesca Pagliara, Alan G. Wilson and Valerio de
Martinis 18.1 Introduction 343 18.2 A Hierarchical Retail Structure Model
as a Building Block 344 18.3 Extensions to Transport Networks 345 18.4 An
Application in Transport Planning 347 18.5 A Case Study: Bagnoli in Naples
350 18.6 Conclusion 360 References 361 19 The Structure of Global
Transportation Networks 363 Sean Hanna, Joan Serras and Tasos Varoudis 19.1
Introduction 363 19.2 Method 364 19.3 Analysis of the European Map 366 19.4
Towards a Global Spatial Economic Map: Economic Analysis by Country 368
19.5 An East-west Divide and Natural Economic Behaviour 373 19.6 Conclusion
376 References 377 20 Trade Networks and Optimal Consumption 378 Robert J.
Downes and Robert G. Levy 20.1 Introduction 378 20.2 The Global Economic
Model 379 20.3 Perturbing Final Demand Vectors 380 20.4 Analysis 384 20.5
Conclusions 393 Acknowledgements 394 References 394 Appendix 396 Part XI
INTEGRATION 21 Research Priorities 399 Alan G. Wilson Index 403
xxiii Part I APPROACHES 1 The Toolkit 3 Alan G. Wilson Part II ESTIMATING
MISSING DATA: BI-PROPORTIONAL FITTING AND PRINCIPAL COMPONENTS ANALYSIS 2
The Effects of Economic and Labour Market Inequalities on Interregional
Migration in Europe 9 Adam Dennett 2.1 Introduction 9 2.2 The Approach 12
2.3 Data 12 2.4 Preliminary Analysis 13 2.5 Multinomial Logit Regression
Analysis 15 2.6 Discussion 22 2.7 Conclusions 24 References 25 3 Test of
Bi-Proportional Fitting Procedure Applied to International Trade 26 Simone
Caschili and Alan G. Wilson 3.1 Introduction 26 3.2 Model 27 3.3 Notes of
Implementation 28 3.4 Results 30 References 32 4 Estimating Services Flows
33 Robert G. Levy 4.1 Introduction 33 4.2 Estimation Via Iterative
Proportional Fitting 34 4.3 Estimating Services Flows Using Commodities
Flows 37 4.4 A Comparison of The Methods 40 4.5 Results 45 4.6 Conclusion
49 References 50 5 A Method for Estimating Unknown National Input-Output
Tables Using Limited Data 51 Thomas P. Oléron Evans and Robert G. Levy 5.1
Motivation and Aims 51 5.2 Obstacles to The Estimation of National
Input-Output Tables 52 5.3 Vector Representation of Input-Output Tables 53
5.4 Method 54 5.5 In-Sample Assessment of The Estimates 58 5.6
Out-of-Sample Discussion of The Estimates 63 5.7 Conclusion 67 References
68 Part III DYNAMICS IN ACCOUNT-BASED MODELS 6 A Dynamic Global Trade Model
With Four Sectors: Food, Natural Resources, Manufactured Goods and Labour
71 Hannah M. Fry, Alan G. Wilson and Frank T. Smith 6.1 Introduction 71 6.2
Definition of Variables for System Description 73 6.3 The Pricing and Trade
Flows Algorithm 73 6.4 Initial Setup 75 6.5 The Algorithm to Determine
Farming Trade Flows 77 6.6 The Algorithm to Determine The Natural Resources
Trade Flows 80 6.7 The Algorithm to Determine Manufacturing Trade Flows 81
6.8 The Dynamics 83 6.9 Experimental Results 84 References 90 7 Global
Dynamical Input-Output Modelling 91 Anthony P. Korte and Alan G. Wilson 7.1
Towards a Fully Dynamic Inter-country Input-Output Model 91 7.2 National
Accounts 92 7.3 The Dynamical International Model 97 7.4 Investment:
Modelling Production Capacity: The Capacity Planning Model 100 7.5
Modelling Production Capacity: The Investment Growth Approach 103 7.6
Conclusions 121 References 122 Appendix 123 A.1 Proof of Linearity of the
Static Model and the Equivalence of Two Modelling Approaches 123 Part IV
SPACE-TIME STATISTICAL ANALYSIS 8 Space-Time Analysis of Point Patterns in
Crime and Security Events 127 Toby P. Davies, Shane D. Johnson, Alex
Braithwaite and Elio Marchione 8.1 Introduction 127 8.2 Application in
Novel Areas 132 8.3 Motif Analysis 138 8.4 Discussion 147 References 148
Part V REAL-TIME RESPONSE MODELS 9 The London Riots -1: Epidemiology,
Spatial Interaction and Probability of Arrest 153 Toby P. Davies, Hannah M.
Fry, Alan G. Wilson and Steven R. Bishop 9.1 Introduction 153 Contents ix
9.2 Characteristics of Disorder 156 9.3 The Model 158 9.4 Demonstration
Case 162 9.5 Concluding Comments 166 References 166 Appendix 168 A.1 Note
on Methods: Data 168 A.2 Numerical Simulations 169 10 The London Riots -2:
A Discrete Choice Model 170 Peter Baudains, Alex Braithwaite and Shane D.
Johnson 10.1 Introduction 170 10.2 Model Setup 170 10.3 Modelling the
Observed Utility 172 10.4 Results 176 10.5 Simulating the 2011 London
Riots: Towards a Policy Tool 181 10.6 Modelling Optimal Police Deployment
187 References 190 Part VI THE MATHEMATICS OF WAR 11 Richardson Models with
Space 195 Peter Baudains 11.1 Introduction 195 11.2 The Richardson Model
196 11.3 Empirical Applications of Richardson's Model 202 11.4 A Global
Arms Race Model 204 11.5 Relationship to a Spatial Conflict Model 206 11.6
An Empirical Application 207 11.7 Conclusion 212 References 213 Part VII
AGENT-BASED MODELS 12 Agent-based Models of Piracy 217 Elio Marchione,
Shane D. Johnson and Alan G. Wilson 12.1 Introduction 217 12.2 Data 219
12.3 An Agent-based Model 221 12.4 Model Calibration 232 12.5 Discussion
232 References 235 13 A Simple Approach for the Prediction of Extinction
Events in Multi-agent Models 237 Thomas P. Oléron Evans, Steven R. Bishop
and Frank T. Smith 13.1 Introduction 237 13.2 Key Concepts 238 13.3 The
NANIA Predator-prey Model 241 13.4 Computer Simulation 247 13.5 Period
Detection 249 13.6 A Monte Carlo Approach to Prediction 252 13.7
Conclusions 263 References 264 Part VIII DIFFUSION MODELS 14 Urban
Agglomeration Through the Diffusion of Investment Impacts 269 Minette
D'Lima, Francesca R. Medda and Alan G. Wilson 14.1 Introduction 269 14.2
The Model 270 14.3 Mathematical Analysis for Agglomeration Conditions 272
14.4 Simulation Results 275 14.5 Conclusions 279 References 279 Part IX
GAME THEORY 15 From Colonel Blotto to Field Marshall Blotto 283 Peter
Baudains, Toby P. Davies, Hannah M. Fry and Alan G. Wilson 15.1
Introduction 283 15.2 The Colonel Blotto Game and its Extensions 285 15.3
Incorporating a Spatial Interaction Model of Threat 286 15.4 Two-front
Battles 288 15.5 Comparing Even and Uneven Allocations in a Scenario with
Five Fronts 289 15.6 Conclusion 292 References 292 16 Modelling Strategic
Interactions in a Global Context 293 Janina Beiser 16.1 Introduction 293
16.2 The Theoretical Model 294 16.3 Strategic Estimation 295 16.4
International Sources of Uncertainty in the Context of Repression and
Rebellion 297 16.5 International Sources of Uncertainty Related to Outcomes
299 16.6 Empirical Analysis 301 16.7 Results 303 16.8 Additional
Considerations Related to International Uncertainty 304 16.9 Conclusion 304
References 305 17 A General Framework for Static, Spatially Explicit Games
of Search and Concealment 306 Thomas P. Oléron Evans, Steven R. Bishop and
Frank T. Smith 17.1 Introduction 306 17.2 Game Theoretic Concepts 307 17.3
Games of Search and Security: A Review 310 17.4 The Static Spatial Search
Game (SSSG) 314 17.5 The Graph Search Game (GSG) 324 17.6 Summary and
Conclusions 335 References 336 Part X NETWORKS 18 Network Evolution: A
Transport Example 343 Francesca Pagliara, Alan G. Wilson and Valerio de
Martinis 18.1 Introduction 343 18.2 A Hierarchical Retail Structure Model
as a Building Block 344 18.3 Extensions to Transport Networks 345 18.4 An
Application in Transport Planning 347 18.5 A Case Study: Bagnoli in Naples
350 18.6 Conclusion 360 References 361 19 The Structure of Global
Transportation Networks 363 Sean Hanna, Joan Serras and Tasos Varoudis 19.1
Introduction 363 19.2 Method 364 19.3 Analysis of the European Map 366 19.4
Towards a Global Spatial Economic Map: Economic Analysis by Country 368
19.5 An East-west Divide and Natural Economic Behaviour 373 19.6 Conclusion
376 References 377 20 Trade Networks and Optimal Consumption 378 Robert J.
Downes and Robert G. Levy 20.1 Introduction 378 20.2 The Global Economic
Model 379 20.3 Perturbing Final Demand Vectors 380 20.4 Analysis 384 20.5
Conclusions 393 Acknowledgements 394 References 394 Appendix 396 Part XI
INTEGRATION 21 Research Priorities 399 Alan G. Wilson Index 403
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
Notes on Contributors xv Acknowledgements xxi About the Companion Website
xxiii Part I APPROACHES 1 The Toolkit 3 Alan G. Wilson Part II ESTIMATING
MISSING DATA: BI-PROPORTIONAL FITTING AND PRINCIPAL COMPONENTS ANALYSIS 2
The Effects of Economic and Labour Market Inequalities on Interregional
Migration in Europe 9 Adam Dennett 2.1 Introduction 9 2.2 The Approach 12
2.3 Data 12 2.4 Preliminary Analysis 13 2.5 Multinomial Logit Regression
Analysis 15 2.6 Discussion 22 2.7 Conclusions 24 References 25 3 Test of
Bi-Proportional Fitting Procedure Applied to International Trade 26 Simone
Caschili and Alan G. Wilson 3.1 Introduction 26 3.2 Model 27 3.3 Notes of
Implementation 28 3.4 Results 30 References 32 4 Estimating Services Flows
33 Robert G. Levy 4.1 Introduction 33 4.2 Estimation Via Iterative
Proportional Fitting 34 4.3 Estimating Services Flows Using Commodities
Flows 37 4.4 A Comparison of The Methods 40 4.5 Results 45 4.6 Conclusion
49 References 50 5 A Method for Estimating Unknown National Input-Output
Tables Using Limited Data 51 Thomas P. Oléron Evans and Robert G. Levy 5.1
Motivation and Aims 51 5.2 Obstacles to The Estimation of National
Input-Output Tables 52 5.3 Vector Representation of Input-Output Tables 53
5.4 Method 54 5.5 In-Sample Assessment of The Estimates 58 5.6
Out-of-Sample Discussion of The Estimates 63 5.7 Conclusion 67 References
68 Part III DYNAMICS IN ACCOUNT-BASED MODELS 6 A Dynamic Global Trade Model
With Four Sectors: Food, Natural Resources, Manufactured Goods and Labour
71 Hannah M. Fry, Alan G. Wilson and Frank T. Smith 6.1 Introduction 71 6.2
Definition of Variables for System Description 73 6.3 The Pricing and Trade
Flows Algorithm 73 6.4 Initial Setup 75 6.5 The Algorithm to Determine
Farming Trade Flows 77 6.6 The Algorithm to Determine The Natural Resources
Trade Flows 80 6.7 The Algorithm to Determine Manufacturing Trade Flows 81
6.8 The Dynamics 83 6.9 Experimental Results 84 References 90 7 Global
Dynamical Input-Output Modelling 91 Anthony P. Korte and Alan G. Wilson 7.1
Towards a Fully Dynamic Inter-country Input-Output Model 91 7.2 National
Accounts 92 7.3 The Dynamical International Model 97 7.4 Investment:
Modelling Production Capacity: The Capacity Planning Model 100 7.5
Modelling Production Capacity: The Investment Growth Approach 103 7.6
Conclusions 121 References 122 Appendix 123 A.1 Proof of Linearity of the
Static Model and the Equivalence of Two Modelling Approaches 123 Part IV
SPACE-TIME STATISTICAL ANALYSIS 8 Space-Time Analysis of Point Patterns in
Crime and Security Events 127 Toby P. Davies, Shane D. Johnson, Alex
Braithwaite and Elio Marchione 8.1 Introduction 127 8.2 Application in
Novel Areas 132 8.3 Motif Analysis 138 8.4 Discussion 147 References 148
Part V REAL-TIME RESPONSE MODELS 9 The London Riots -1: Epidemiology,
Spatial Interaction and Probability of Arrest 153 Toby P. Davies, Hannah M.
Fry, Alan G. Wilson and Steven R. Bishop 9.1 Introduction 153 Contents ix
9.2 Characteristics of Disorder 156 9.3 The Model 158 9.4 Demonstration
Case 162 9.5 Concluding Comments 166 References 166 Appendix 168 A.1 Note
on Methods: Data 168 A.2 Numerical Simulations 169 10 The London Riots -2:
A Discrete Choice Model 170 Peter Baudains, Alex Braithwaite and Shane D.
Johnson 10.1 Introduction 170 10.2 Model Setup 170 10.3 Modelling the
Observed Utility 172 10.4 Results 176 10.5 Simulating the 2011 London
Riots: Towards a Policy Tool 181 10.6 Modelling Optimal Police Deployment
187 References 190 Part VI THE MATHEMATICS OF WAR 11 Richardson Models with
Space 195 Peter Baudains 11.1 Introduction 195 11.2 The Richardson Model
196 11.3 Empirical Applications of Richardson's Model 202 11.4 A Global
Arms Race Model 204 11.5 Relationship to a Spatial Conflict Model 206 11.6
An Empirical Application 207 11.7 Conclusion 212 References 213 Part VII
AGENT-BASED MODELS 12 Agent-based Models of Piracy 217 Elio Marchione,
Shane D. Johnson and Alan G. Wilson 12.1 Introduction 217 12.2 Data 219
12.3 An Agent-based Model 221 12.4 Model Calibration 232 12.5 Discussion
232 References 235 13 A Simple Approach for the Prediction of Extinction
Events in Multi-agent Models 237 Thomas P. Oléron Evans, Steven R. Bishop
and Frank T. Smith 13.1 Introduction 237 13.2 Key Concepts 238 13.3 The
NANIA Predator-prey Model 241 13.4 Computer Simulation 247 13.5 Period
Detection 249 13.6 A Monte Carlo Approach to Prediction 252 13.7
Conclusions 263 References 264 Part VIII DIFFUSION MODELS 14 Urban
Agglomeration Through the Diffusion of Investment Impacts 269 Minette
D'Lima, Francesca R. Medda and Alan G. Wilson 14.1 Introduction 269 14.2
The Model 270 14.3 Mathematical Analysis for Agglomeration Conditions 272
14.4 Simulation Results 275 14.5 Conclusions 279 References 279 Part IX
GAME THEORY 15 From Colonel Blotto to Field Marshall Blotto 283 Peter
Baudains, Toby P. Davies, Hannah M. Fry and Alan G. Wilson 15.1
Introduction 283 15.2 The Colonel Blotto Game and its Extensions 285 15.3
Incorporating a Spatial Interaction Model of Threat 286 15.4 Two-front
Battles 288 15.5 Comparing Even and Uneven Allocations in a Scenario with
Five Fronts 289 15.6 Conclusion 292 References 292 16 Modelling Strategic
Interactions in a Global Context 293 Janina Beiser 16.1 Introduction 293
16.2 The Theoretical Model 294 16.3 Strategic Estimation 295 16.4
International Sources of Uncertainty in the Context of Repression and
Rebellion 297 16.5 International Sources of Uncertainty Related to Outcomes
299 16.6 Empirical Analysis 301 16.7 Results 303 16.8 Additional
Considerations Related to International Uncertainty 304 16.9 Conclusion 304
References 305 17 A General Framework for Static, Spatially Explicit Games
of Search and Concealment 306 Thomas P. Oléron Evans, Steven R. Bishop and
Frank T. Smith 17.1 Introduction 306 17.2 Game Theoretic Concepts 307 17.3
Games of Search and Security: A Review 310 17.4 The Static Spatial Search
Game (SSSG) 314 17.5 The Graph Search Game (GSG) 324 17.6 Summary and
Conclusions 335 References 336 Part X NETWORKS 18 Network Evolution: A
Transport Example 343 Francesca Pagliara, Alan G. Wilson and Valerio de
Martinis 18.1 Introduction 343 18.2 A Hierarchical Retail Structure Model
as a Building Block 344 18.3 Extensions to Transport Networks 345 18.4 An
Application in Transport Planning 347 18.5 A Case Study: Bagnoli in Naples
350 18.6 Conclusion 360 References 361 19 The Structure of Global
Transportation Networks 363 Sean Hanna, Joan Serras and Tasos Varoudis 19.1
Introduction 363 19.2 Method 364 19.3 Analysis of the European Map 366 19.4
Towards a Global Spatial Economic Map: Economic Analysis by Country 368
19.5 An East-west Divide and Natural Economic Behaviour 373 19.6 Conclusion
376 References 377 20 Trade Networks and Optimal Consumption 378 Robert J.
Downes and Robert G. Levy 20.1 Introduction 378 20.2 The Global Economic
Model 379 20.3 Perturbing Final Demand Vectors 380 20.4 Analysis 384 20.5
Conclusions 393 Acknowledgements 394 References 394 Appendix 396 Part XI
INTEGRATION 21 Research Priorities 399 Alan G. Wilson Index 403
xxiii Part I APPROACHES 1 The Toolkit 3 Alan G. Wilson Part II ESTIMATING
MISSING DATA: BI-PROPORTIONAL FITTING AND PRINCIPAL COMPONENTS ANALYSIS 2
The Effects of Economic and Labour Market Inequalities on Interregional
Migration in Europe 9 Adam Dennett 2.1 Introduction 9 2.2 The Approach 12
2.3 Data 12 2.4 Preliminary Analysis 13 2.5 Multinomial Logit Regression
Analysis 15 2.6 Discussion 22 2.7 Conclusions 24 References 25 3 Test of
Bi-Proportional Fitting Procedure Applied to International Trade 26 Simone
Caschili and Alan G. Wilson 3.1 Introduction 26 3.2 Model 27 3.3 Notes of
Implementation 28 3.4 Results 30 References 32 4 Estimating Services Flows
33 Robert G. Levy 4.1 Introduction 33 4.2 Estimation Via Iterative
Proportional Fitting 34 4.3 Estimating Services Flows Using Commodities
Flows 37 4.4 A Comparison of The Methods 40 4.5 Results 45 4.6 Conclusion
49 References 50 5 A Method for Estimating Unknown National Input-Output
Tables Using Limited Data 51 Thomas P. Oléron Evans and Robert G. Levy 5.1
Motivation and Aims 51 5.2 Obstacles to The Estimation of National
Input-Output Tables 52 5.3 Vector Representation of Input-Output Tables 53
5.4 Method 54 5.5 In-Sample Assessment of The Estimates 58 5.6
Out-of-Sample Discussion of The Estimates 63 5.7 Conclusion 67 References
68 Part III DYNAMICS IN ACCOUNT-BASED MODELS 6 A Dynamic Global Trade Model
With Four Sectors: Food, Natural Resources, Manufactured Goods and Labour
71 Hannah M. Fry, Alan G. Wilson and Frank T. Smith 6.1 Introduction 71 6.2
Definition of Variables for System Description 73 6.3 The Pricing and Trade
Flows Algorithm 73 6.4 Initial Setup 75 6.5 The Algorithm to Determine
Farming Trade Flows 77 6.6 The Algorithm to Determine The Natural Resources
Trade Flows 80 6.7 The Algorithm to Determine Manufacturing Trade Flows 81
6.8 The Dynamics 83 6.9 Experimental Results 84 References 90 7 Global
Dynamical Input-Output Modelling 91 Anthony P. Korte and Alan G. Wilson 7.1
Towards a Fully Dynamic Inter-country Input-Output Model 91 7.2 National
Accounts 92 7.3 The Dynamical International Model 97 7.4 Investment:
Modelling Production Capacity: The Capacity Planning Model 100 7.5
Modelling Production Capacity: The Investment Growth Approach 103 7.6
Conclusions 121 References 122 Appendix 123 A.1 Proof of Linearity of the
Static Model and the Equivalence of Two Modelling Approaches 123 Part IV
SPACE-TIME STATISTICAL ANALYSIS 8 Space-Time Analysis of Point Patterns in
Crime and Security Events 127 Toby P. Davies, Shane D. Johnson, Alex
Braithwaite and Elio Marchione 8.1 Introduction 127 8.2 Application in
Novel Areas 132 8.3 Motif Analysis 138 8.4 Discussion 147 References 148
Part V REAL-TIME RESPONSE MODELS 9 The London Riots -1: Epidemiology,
Spatial Interaction and Probability of Arrest 153 Toby P. Davies, Hannah M.
Fry, Alan G. Wilson and Steven R. Bishop 9.1 Introduction 153 Contents ix
9.2 Characteristics of Disorder 156 9.3 The Model 158 9.4 Demonstration
Case 162 9.5 Concluding Comments 166 References 166 Appendix 168 A.1 Note
on Methods: Data 168 A.2 Numerical Simulations 169 10 The London Riots -2:
A Discrete Choice Model 170 Peter Baudains, Alex Braithwaite and Shane D.
Johnson 10.1 Introduction 170 10.2 Model Setup 170 10.3 Modelling the
Observed Utility 172 10.4 Results 176 10.5 Simulating the 2011 London
Riots: Towards a Policy Tool 181 10.6 Modelling Optimal Police Deployment
187 References 190 Part VI THE MATHEMATICS OF WAR 11 Richardson Models with
Space 195 Peter Baudains 11.1 Introduction 195 11.2 The Richardson Model
196 11.3 Empirical Applications of Richardson's Model 202 11.4 A Global
Arms Race Model 204 11.5 Relationship to a Spatial Conflict Model 206 11.6
An Empirical Application 207 11.7 Conclusion 212 References 213 Part VII
AGENT-BASED MODELS 12 Agent-based Models of Piracy 217 Elio Marchione,
Shane D. Johnson and Alan G. Wilson 12.1 Introduction 217 12.2 Data 219
12.3 An Agent-based Model 221 12.4 Model Calibration 232 12.5 Discussion
232 References 235 13 A Simple Approach for the Prediction of Extinction
Events in Multi-agent Models 237 Thomas P. Oléron Evans, Steven R. Bishop
and Frank T. Smith 13.1 Introduction 237 13.2 Key Concepts 238 13.3 The
NANIA Predator-prey Model 241 13.4 Computer Simulation 247 13.5 Period
Detection 249 13.6 A Monte Carlo Approach to Prediction 252 13.7
Conclusions 263 References 264 Part VIII DIFFUSION MODELS 14 Urban
Agglomeration Through the Diffusion of Investment Impacts 269 Minette
D'Lima, Francesca R. Medda and Alan G. Wilson 14.1 Introduction 269 14.2
The Model 270 14.3 Mathematical Analysis for Agglomeration Conditions 272
14.4 Simulation Results 275 14.5 Conclusions 279 References 279 Part IX
GAME THEORY 15 From Colonel Blotto to Field Marshall Blotto 283 Peter
Baudains, Toby P. Davies, Hannah M. Fry and Alan G. Wilson 15.1
Introduction 283 15.2 The Colonel Blotto Game and its Extensions 285 15.3
Incorporating a Spatial Interaction Model of Threat 286 15.4 Two-front
Battles 288 15.5 Comparing Even and Uneven Allocations in a Scenario with
Five Fronts 289 15.6 Conclusion 292 References 292 16 Modelling Strategic
Interactions in a Global Context 293 Janina Beiser 16.1 Introduction 293
16.2 The Theoretical Model 294 16.3 Strategic Estimation 295 16.4
International Sources of Uncertainty in the Context of Repression and
Rebellion 297 16.5 International Sources of Uncertainty Related to Outcomes
299 16.6 Empirical Analysis 301 16.7 Results 303 16.8 Additional
Considerations Related to International Uncertainty 304 16.9 Conclusion 304
References 305 17 A General Framework for Static, Spatially Explicit Games
of Search and Concealment 306 Thomas P. Oléron Evans, Steven R. Bishop and
Frank T. Smith 17.1 Introduction 306 17.2 Game Theoretic Concepts 307 17.3
Games of Search and Security: A Review 310 17.4 The Static Spatial Search
Game (SSSG) 314 17.5 The Graph Search Game (GSG) 324 17.6 Summary and
Conclusions 335 References 336 Part X NETWORKS 18 Network Evolution: A
Transport Example 343 Francesca Pagliara, Alan G. Wilson and Valerio de
Martinis 18.1 Introduction 343 18.2 A Hierarchical Retail Structure Model
as a Building Block 344 18.3 Extensions to Transport Networks 345 18.4 An
Application in Transport Planning 347 18.5 A Case Study: Bagnoli in Naples
350 18.6 Conclusion 360 References 361 19 The Structure of Global
Transportation Networks 363 Sean Hanna, Joan Serras and Tasos Varoudis 19.1
Introduction 363 19.2 Method 364 19.3 Analysis of the European Map 366 19.4
Towards a Global Spatial Economic Map: Economic Analysis by Country 368
19.5 An East-west Divide and Natural Economic Behaviour 373 19.6 Conclusion
376 References 377 20 Trade Networks and Optimal Consumption 378 Robert J.
Downes and Robert G. Levy 20.1 Introduction 378 20.2 The Global Economic
Model 379 20.3 Perturbing Final Demand Vectors 380 20.4 Analysis 384 20.5
Conclusions 393 Acknowledgements 394 References 394 Appendix 396 Part XI
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