Présentation de l'éditeur
This book presents a unified framework (based on spatial interaction models) that encapsulates most of the models developed so far for the analyses of spatial patterns of human activities at both a static and a dynamic level. The book shows how such models can be associated in a static analysis, with macro- and meso-oriented entropy theory and micro-oriented random utility theory. In a dynamic analysis such models can be seen as the result of an optimal trajectory through which a closed system approaches an equilibrium state, in both a deterministic and stochastic framework. However spatial interaction models can exhibit chaotic patterns under particular conditions, since they can be linked to both a logistic form (in a degenerate case) and interrelated logistics (in a general case). Finally, such models may serve to form a broad "envelope" incorporating many dynamic models currently used, which end up with logistic structures. The theoretical-methodological foundations are original, as various tools originating from different disciplines (e.g. economics, mathematics, physics, statistics, biology and natural sciences) are used to develop a unified framework.
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Interaction Evolution and Chaos in Space
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Springer Verlag, New York, 1992
ISBN 10 : 0387554580
ISBN 13 : 9780387554587
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Hardcover. Etat : Good+ with no dust jacket. 278 pages. ex library copy with spine label removed but white remnants remain. library sticker on rear cover and last page, pocket on inside rear cover, stamped on page edges. typical internal stamps including 'withdrawn' stamps no marking on title page. covers show rubbing around edges ; Ex Univeristy Library; 6 3/4 x 9 3/4 ''. N° de réf. du vendeur 97808
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Interaction, Evolution and Chaos in Space
Edité par
Springer Verlag, 1992
ISBN 10 : 0387554580
ISBN 13 : 9780387554587
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Couverture rigide
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Hardcover. Etat : Good. No Jacket. Former owner name on front end paper and exterior bottom page edge, as well as notes in the table of contents, otherwise a clean unmarked book. NOT a former library book. N° de réf. du vendeur 001640
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Interaction, Evolution and Chaos in Space.
Edité par
Springer-Verlag, 1992
ISBN 10 : 0387554580
ISBN 13 : 9780387554587
Ancien ou d'occasion
Couverture rigide
Vendeur : books4less (Versandantiquariat Petra Gros GmbH & Co. KG), Welling, Allemagne
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Gebundene Ausgabe. Etat : Gut. 278 Seiten; Das hier angebotene Buch stammt aus einer teilaufgelösten wissenschaftlichen Bibliothek und trägt die entsprechenden Kennzeichnungen (Rückenschild, Instituts-Stempel.). Schnitt und Einband sind etwas staubschmutzig; Der Buchzustand ist ansonsten ordentlich und dem Alter entsprechend gut; ENGLISCH!! The book offered here comes from a partially resolved scientific library and transmits the appropriate markings (spine label, institute stamp .). The book condition is otherwise properly and according to age well; ENGLISH! CONTENTS PART A STATIC MODELS OF SPATIAL INTERACTION 1. 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 1.4.1 Simple interaction theory 10 1.4.2 System-wide cost efficiency 12 1.4.3 Aggregate utility theory 13 1.5 The Scope of Gravity Models: Concluding Remarks 16 2. 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 2.4.1 An economic utility approach 30 2.4.2 A probabilistic utility approach 31 2.4.3 Statistical information theory 34 2.4.4 Bayesian statistics 35 2.4.5 Maximum likelihood approach 37 2.5 Concluding Remarks 38 3. 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 /920608531SPATIAL 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 4.2.1 Introduction 59 4.2.2 Spatial interaction models and deterministic utility theory 62 4.2.3 Spatial interaction models and random utility theory 63 4.2.3.1 Basic concepts of random utility theory 63 4.2.3.2 Analogies between spatial interaction models and discrete choice models 68 4.2.4 Concluding remarks 71 4.3 Spatial Interaction Behaviour and Individual Choice Theory: An Application 72 4.3.1 Introduction 72 4.3.2 The model 72 4.3.3 The data 75 4.3.4 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 5.2.1 Introduction 90 5.2.2 An optimal control approach 91 5.2.3 Concluding remarks 94 5.3 Spatial Interaction Models Analyzed by Means of Stochastic Optimal Control 95 5.3.1 Introduction 95 5.3.2 A stochastic optimal control approach 97 5.3.3 Concluding remarks 102 5.4 Spatial Interaction Models with Catastrophe Behaviour Analyzed in the Framework of Stochastic Optimal Control 102 5.4.1 The model 102 5.4.2 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 6.2.1 A general introduction to non-linear modelling 120 6.2.2 Key issues in the theory of chaos 125 6.3 Spatial Applications of Chaos Theory: A Brief Survey 133 6.3.1 Introduction 133 6.3.2 Dendrinos 135 6.3.3 Dendrinos and Sonis 137 6.3.4 Mosekilde, Aracil and Allen 137 6.3.5 Nijkamp 138 6.3.6 Reiner, Munz, Haag and Weidlich 139 6.3.7 White 139 6.3.8 Zhang 140 6.3.9 Concluding remarks 140 6.4 A Model of Chaos for Spatial Interaction and Urban Dynamics 140 6.4.1 Introduction 140 6.4.2 Results of simulation experiments 143 6.4.2.1 The onset of chaotic motion 143 6.4.2.2 Chaotic urban evolution 147 6.4.3 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 7.2.1 Introduction 166 7.2.2 Chaotic elements in dynamic logit model: theory 166 7.2.3 Simulation experiments for a dynamic logit model 170 7.2.3.1 Dynamic processes in logit models 171 7.2.3.2 Dynamic processes in spatial interaction models 174 7.2.4 Concluding remarks 179 7.3 Delay Effects in Dynamic (Binary) Logit Models 180 7.3.1 Introduction 180 7.3.2 A logistic model with multiple delays 181 7.3.3 Concluding remarks 191 7.4 Conclusions 192 Annex 7 A. Stability Solutions for a Dynamic Logit Model 193 Annex 7B. Stability Solutions for a Dynamic Spatial 197 Interaction Model 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 8.4.1 Introduction 206 8.4.2 Equilibrium analysis 207 8.4.3 Concluding remarks 209 8.5 Competition Models: Introduction 210 8.6 Impact of Chaotic Evolution in Spatial Competition 214 8.6.1 Introduction 214 8.6.2 The case of two competing regions 214 8.6.2.1 Equilibrium analysis 214 8.6.2.2 Simulation experiments 217 8.6.3 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. N° de réf. du vendeur 930293
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