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Interaction, evolution and chaos in space:

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Bibliographic Details
Main Authors:	Nijkamp, Peter 1946- (Author), Reggiani, Aura (Author)
Format:	Book
Language:	English
Published:	Berlin u.a. Springer 1992
Subjects:	Analyse spatiale (statistique) Chaos (théorie des systèmes) Econometrie Ruimtelijke analyse Ruimtelijke economie Économétrie Chaotic behavior in systems Econometrics Spatial analysis (Statistics) Chaostheorie Raumwirtschaftstheorie Statistik Dynamisches Modell Wechselwirkung
Links:	http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=003386824&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA
Physical Description:	XII, 278 S. graph. Darst.
ISBN:	3540554580 0387554580

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MARC


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Record in the Search Index

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adam_text	Peter Nijkamp • Aura Reggiani Interaction, Evolution and Chaos in Space With 60 Figures Leihgabe der Senckenberg Geselischaft •* fur Naturforschung - x Springer-Verlag ^ Berlin Heidelberg New York London Paris Tokyo Hong Kong Barcelona , „ , 6 M«rti e r- U rs ivc -srt at Budapest 2vvor\|iWQnoxnaK der ULB synsch af ten Seckeiidorff-Platz 3-4 ^t)6i20Halle(Saale) CONTENTS PART A STATIC MODELS OF SPATIAL INTERACTION SPATIAL INTERACTION MODELS AND GRAVITY THEORY A CONCISE OVERVIEW 1 1 Introduction 3 1 2 Gravity Analysis and Spatial Interaction Models 3 1 3 Gravity Theory and the Social Sciences 8 1 4 Alternative Utility Foundations and Specifications of Gravity Theory 10 141 Simple interaction theory 10 142 System-wide cost efficiency 12 143 Aggregate utility theory 13 1 5 The Scope of Gravity Models: Concluding Remarks 16 ENTROPY THEORY AND SPATIAL INTERACTION ANALYSIS 2 1 Prologue 17 2 2 Entropy Theory and Spatial Interaction 17 2 3 Alternative Specifications of the Entropy Model 25 2 4 Alternative Theoretical Backgrounds of the Entropy Model 30 241 An economic utility approach 30 242A probabilistic utility approach 31 243 Statistical information theory 34 2 4 41 Bayesian statistics 35 245 Maximum likelihood approach 37 2 5 Concluding Remarks 38 ENTROPY AND GENERALIZED COST MINIMIZATION MODELS AT THE MACRO LEVEL 3 1 Prologue 39 3 2 Entropy and Linear Programming 40 3 3 Entropy and Geometric Programming 42 3 4 Spatial Patterns of Entropy and Linear Programming Models 47 3 5 Entropy Revisited 52 3 6 Concluding Remarks 54 Annex 3A Relationships Between Total Trip Costs and the Cost Friction Coefficient 56 SPATIAL INTERACTION MODELS AND UTILITY MAXIMIZING BEHAVIOUR AT THE MICRO LEVEL 4 1 Prologue 59 4 2 Spatial Interaction Behaviour and Individual Choice Behaviour: Theory 59 421 Introduction 59 422 Spatial interaction models and deterministic utility theory 62 423 Spatial interaction models and random utility theory 63 4231 Basic concepts of random utility theory 63 4232 Analogies between spatial interaction models and discrete choice models 68 424 Concluding remarks 71 4 3 Spatial Interaction Behaviour and Individual Choice Theory: An Application 72 431 Introduction 72 432 The model 72 433 The data 75 434 Results and concluding remarks 75 4 4 Conclusions 82 Annex 4A An Algorithm for Modal Split Choice with Congestion 84 PART B DYNAMIC MODELS OF SPATIAL INTERACTION DYNAMIC AND STOCHASTIC SPATIAL INTERACTION MODELS 5 1 * Prologue 89 5 2 Spatial Interaction Models Analyzed by Means of Optimal Control 90 521 Introduction 90 522 An optimal control approach 91 523 Concluding remarks 94 5 3 Spatial Interaction Models Analyzed by Means of Stochastic Optimal Control 95 i531 Introduction 95 532A stochastic optimal control approach 97 533 Concluding remarks 102 5 4 Spatial Interaction Models with Catastrophe Behaviour Analyzed in the Framework of Stochastic Optimal Control 102 541 The model 102 542 The stochastic optimal control version 104 5 5 Epilogue 107 Annex 5A The Generalized Spatial Interaction Model as a Solution to the Optimal Control Entropy Model 109 Annex 5B A (Generalized) Stochastic Spatial Interaction Model as a Solution to a Stochastic Optimal Control Problem 113 XI Annex 5C Stability and Bifurcations in a Phase Diagram Analysis for a Stochastic Optimal Control Problem 116 6 SPATIAL MODELLING AND CHAOS THEORY 6 1 Prologue 119 6 2 Chaos Theory: A Brief Review 120 621A general introduction to non-linear modelling 120 622 Key issues in the theory of chaos 125 6 3 Spatial Applications of Chaos Theory: A Brief Survey 133 631 Introduction 133 632 Dendrinos 135 633 Dendrinos and Sonis 137 634 Mosekilde, Aracil and Allen 137 635 Nijkamp 138 636 Reiner, Munz, Haag and Weidlich 139 637 White 139 638 Zhang 140 639 Concluding remarks 140 64A Model of Chaos for Spatial Interaction and Urban Dynamics 140 641 Introduction 140 642 Results of simulation experiments 143 6421 The onset of chaotic motion 143 6422 Chaotic urban evolution 147 ^643 Concluding remarks 149 6 5 Epilogue 150 Annex 6A Classification of Two-dimensional Critical Points 152 Annex 6B ,Strange Attractors: A Brief Overview 155 Annex 6C Steady State Solutions for a Generalized Lorenz System 161 7 SPATIAL INTERACTION MODELS AND CHAOS THEORY 7 1 Prologue 165 7 2 Chaos in Spatial Interaction Models 166 ,721 Introduction 166 722 Chaotic elements in dynamic logit model: theory 166 723 Simulation experiments for a dynamic logit model 170 7231 Dynamic processes in logit models 171 7232 Dynamic processes in spatial interaction models 174 724 Concluding remarks 179 7 3 Delay Effects in Dynamic (Binary) Logit Models 180 731 Introduction 180 732A logistic model with multiple delays 181 733_ Concluding remarks 191 7 4 Conclusions 192 Annex 7A Stability Solutions for a Dynamic Logit Model 193 Annex 7B Stability Solutions for a Dynamic Spatial Interaction Model 197 SPATIAL INTERACTION ANALYSIS AND ECOLOGICALLY- BASED MODELS 8 1 Prologue 199 8 2 Prey-Predator Models: Introduction 200 8 3 Synergetic Models of Spatial Interaction 203 8 4 An Optimal Control Model for a Spatial Prey-Predator System 206 841 Introduction 206 842 Equilibrium analysis 207 843 Concluding remarks 209 8 5 Competition Models: Introduction 210 8 6 Impact of Chaotic Evolution in Spatial Competition 214 861 Introduction 214 862 The case of two competing regions 214 8621 Equilibrium analysis 214 8622 Simulation experiments 217 863 Concluding remarks 221 8 7 Epilogue 222 Annex 8A Stability Solutions for an Optimal Control Prey-Predator Problem 223 Annex 8B Transformation of a Continuous System into a Discrete System 228 Annex 8C Stability Analysis for a Particular ,; 1 Competing System 230 RETROSPECT AND PROSPECT 9 1 Retrospect 233 9 2 Typology of Dynamic Spatial Interaction Models 237 921 Introduction 237 922 Macro-dynamic approaches 238 923 Micro-meso dynamic approaches 240 9 3 Evolution of Spatial Interaction Models 241 9 4 New Research Areas 243 References 245 Index 275
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author	Nijkamp, Peter 1946- Reggiani, Aura
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spellingShingle	Nijkamp, Peter 1946- Reggiani, Aura Interaction, evolution and chaos in space Analyse spatiale (statistique) ram Chaos (théorie des systèmes) ram Econometrie gtt Ruimtelijke analyse gtt Ruimtelijke economie gtt Économétrie ram Chaotic behavior in systems Econometrics Spatial analysis (Statistics) Chaostheorie (DE-588)4009754-7 gnd Raumwirtschaftstheorie (DE-588)4121557-6 gnd Statistik (DE-588)4056995-0 gnd Dynamisches Modell (DE-588)4150932-8 gnd Wechselwirkung (DE-588)4064937-4 gnd
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title	Interaction, evolution and chaos in space
title_auth	Interaction, evolution and chaos in space
title_exact_search	Interaction, evolution and chaos in space
title_full	Interaction, evolution and chaos in space Peter Nijkamp ; Aura Reggiani
title_fullStr	Interaction, evolution and chaos in space Peter Nijkamp ; Aura Reggiani
title_full_unstemmed	Interaction, evolution and chaos in space Peter Nijkamp ; Aura Reggiani
title_short	Interaction, evolution and chaos in space
title_sort	interaction evolution and chaos in space
topic	Analyse spatiale (statistique) ram Chaos (théorie des systèmes) ram Econometrie gtt Ruimtelijke analyse gtt Ruimtelijke economie gtt Économétrie ram Chaotic behavior in systems Econometrics Spatial analysis (Statistics) Chaostheorie (DE-588)4009754-7 gnd Raumwirtschaftstheorie (DE-588)4121557-6 gnd Statistik (DE-588)4056995-0 gnd Dynamisches Modell (DE-588)4150932-8 gnd Wechselwirkung (DE-588)4064937-4 gnd
topic_facet	Analyse spatiale (statistique) Chaos (théorie des systèmes) Econometrie Ruimtelijke analyse Ruimtelijke economie Économétrie Chaotic behavior in systems Econometrics Spatial analysis (Statistics) Chaostheorie Raumwirtschaftstheorie Statistik Dynamisches Modell Wechselwirkung
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work_keys_str_mv	AT nijkamppeter interactionevolutionandchaosinspace AT reggianiaura interactionevolutionandchaosinspace

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