Interaction, evolution and chaos in space:
Saved in:
Main Authors: | , |
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Format: | Book |
Language: | English |
Published: |
Berlin u.a.
Springer
1992
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Subjects: | |
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 |
Staff View
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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
|
any_adam_object | 1 |
author | Nijkamp, Peter 1946- Reggiani, Aura |
author_GND | (DE-588)120623692 |
author_facet | Nijkamp, Peter 1946- Reggiani, Aura |
author_role | aut aut |
author_sort | Nijkamp, Peter 1946- |
author_variant | p n pn a r ar |
building | Verbundindex |
bvnumber | BV005413718 |
callnumber-first | Q - Science |
callnumber-label | QA278 |
callnumber-raw | QA278.2 |
callnumber-search | QA278.2 |
callnumber-sort | QA 3278.2 |
callnumber-subject | QA - Mathematics |
classification_rvk | SK 980 UG 3900 |
ctrlnum | (OCoLC)25708674 (DE-599)BVBBV005413718 |
dewey-full | 330/.01/5118 |
dewey-hundreds | 300 - Social sciences |
dewey-ones | 330 - Economics |
dewey-raw | 330/.01/5118 |
dewey-search | 330/.01/5118 |
dewey-sort | 3330 11 45118 |
dewey-tens | 330 - Economics |
discipline | Physik Mathematik Wirtschaftswissenschaften |
format | Book |
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id | DE-604.BV005413718 |
illustrated | Illustrated |
indexdate | 2024-12-20T08:33:07Z |
institution | BVB |
isbn | 3540554580 0387554580 |
language | English |
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owner_facet | DE-12 DE-384 DE-473 DE-BY-UBG DE-739 DE-703 DE-706 DE-634 DE-188 |
physical | XII, 278 S. graph. Darst. |
publishDate | 1992 |
publishDateSearch | 1992 |
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publisher | Springer |
record_format | marc |
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 |
subject_GND | (DE-588)4009754-7 (DE-588)4121557-6 (DE-588)4056995-0 (DE-588)4150932-8 (DE-588)4064937-4 |
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 |
url | 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 |
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