Spatial Interaction Modelling : A Regional Science Context (Advances in Spatial Science) (2004. XI, 239 p. w. 7 ill.)

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Spatial Interaction Modelling : A Regional Science Context (Advances in Spatial Science) (2004. XI, 239 p. w. 7 ill.)

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  • 製本 Hardcover:ハードカバー版/ページ数 239 p.
  • 商品コード 9783540205289

Description


(Text)
In this book, the author's strong commitment to the multi-disciplinary field of regional science emerges to provide a unifying framework between spatial modelling traditions from quantitative geography and those from spatial economics, whereby each is enhanced. Starting with a detailed discussion of each field illustrated with numerical examples, the two traditions are brought together by either making the economic models probabilistic or transforming the objectives of the geographic models to reflect both utility theory and production theory. The ideas are applied to develop urban models of activity analysis, face-to-face contacts and housing supply, as well as regional models in the areas of input-output analysis, imperfect competition and interregional migration.

Table of Contents

Prologue                                           1  (8)
Part I CONTEXT AND METHODOLOGY
1 Geographical Roots of Spatial Interaction 9 (42)
1.1 Analogies with Newtonian Gravitation 9 (5)
1.1.1 Gravity Effect Identification 9 (1)
1.1.2 Retail Gravity Models 10 (3)
1.1.3 Gravity and Commodity Flows 13 (1)
1.2 Bases in Entropy, Constrained 14 (15)
Optimization and Time Geography
1.2.1 Entropy Basis for Gravity Models 14 (5)
1.2.2 Intervening Opportunities Models 19 (2)
1.2.3 Activities, Time Budgets and 21 (3)
Travel
1.2.4 Entropy in Continuous Space 24 (2)
1.2.5 Other Entropies and Their 26 (3)
Physical Significance
1.3 Further Enhancements 29 (21)
1.3.1 The More General Information 29 (4)
Theory Approach
1.3.2 A Retail Equilibrium Model 33 (1)
1.3.3 Probabilistic Entropy vs Random 34 (2)
Utility for Individual Choice
1.3.4 Cost Minimization with Entropy 36 (4)
Constraint(s)
1.3.5 Some Key Conceptual Contributions 40 (7)
1.3.6 Characterization of Model Errors 47 (3)
and Robustness
Appendix 1.1 50 (1)
2 Key Insights in 'Space' and Microeconomics 51 (23)
2.1 Some Important Theoretical Advances 51 (12)
2.1.1 Urban/Rural Model and Urban Land 51 (5)
Models
2.1.2 Agglomeration in Linear Markets 56 (2)
for Single and Comparison Goods
2.1.3 Linear Model of Production 58 (2)
Location and Transport Flows
2.1.4 Imperfect Competition in Linear 60 (3)
Space
2.2 From Theory to Applications 63 (5)
2.2.1 National, Interregional and 63 (4)
Multi-Regional Input-Output Models
2.2.2 Spatial Price Equilibrium 67 (1)
2.3 Some New Directions 68 (6)
2.3.1 Increasing Returns and 68 (3)
Monopolistic Competition
2.3.2 Knowledge Exchange and Space 71 (3)
3 Spatial Interaction Modelling Embracing 74 (33)
Microeconomics
3.1 Evaluation of Relevant Previous Efforts 74 (3)
3.1.1 Re-Interpretation of a Retail 74 (1)
Equilibrium Model
3.1.2 Dispersed Spatial Price 75 (2)
Equilibrium
3.2 Comprehensive Specification of a 77 (25)
Unifying Framework
3.2.1 Entropy in a Decision-Theoretic 77 (1)
Context
3.2.2 Different Entropies for Different 78 (2)
Decision Contexts
3.2.3 Fundamental Role of Constraints 80 (6)
in Modelling Supply and Demand
3.2.4 Calibration of Open Models Adding 86 (5)
Information via Constraints
3.2.5 Nesting, Clustering and 91 (4)
Independence from Irrelevant
Alternatives
3.2.6 Inequality and Logistic Short Run 95 (2)
Capacity Constraints
3.2.7 Properties of Models under 97 (2)
Aggregation
3.2.8 Surplus Evaluation by Simple 99 (1)
Transformations of Entropy Lagrangian
3.2.9 Fulfilment of Key Economic Lemma 100(1)
3.2.10 Non-Homogeneous Supply and Demand 101(1)
Functions
3.2.11 Brief Summary 101(1)
Appendix 3.1 102(5)
Part II SOME EXAMPLES OF URBAN MODELLING
4 Activities as Generators of Spatial 107(24)
Interaction
4.1 Elements of an Activity Demand Framework 107(19)
4.1.1 Characterisation of the Demand 107(3)
for Activities
4.1.2 The Huff Model and its Extensions 110(6)
4.1.3 A Comprehensive Activity-Based 116(10)
Model
4.2 Supply, Equilibrium and Imperfect 126(5)
Competition
4.2.1 Short Run Goods/Services Supply 126(2)
Model with Congestion
4.2.2 Short Run Demand/Supply 128(1)
Equilibrium
4.2.3 Movement Towards Long Run Supply 128(2)
Equilibrium
4.2.4 Observations on Imperfect 130(1)
Competition
5 Knowledge Exchange and Agglomeration 131(19)
5.1 Fundamentals of the Contact Process 131(5)
5.1.1 Preliminary Matching 131(3)
5.1.2 Face-to-Face Contacts Among the 134(2)
Matched Pairs
5.2 An Elementary Modelling Framework for 136(13)
Firms
5.2.1 Elements of a Short Run 136(8)
Probabilistic Knowledge Supply Model
5.2.2 Long Run Adjustment Processes 144(5)
5.3 Concluding Remarks 149(1)
6 Imperfect Competition in Land/Housing 150(21)
Markets
6.1 Introduction 150(1)
6.2 The Economic Structure of the Models 151(5)
6.2.1 Market Structure 151(2)
6.2.2 The Behavioural Model 153(3)
6.3 A Competitive Land Market 156(7)
6.3.1 Unconstrained Models for 156(3)
Competitive Markets
6.3.2 Constrained Models for 159(3)
Competitive Markets
6.3.3 Hotelling's Lemma 162(1)
6.4 Imperfect Competition 163(3)
6.4.1 Unconstrained Models for 163(2)
Imperfect Competition
6.4.2 Constrained Models for Imperfect 165(1)
Competition
6.5 Final Comments 166(5)
Part III SOME INTERREGIONAL CONTRIBUTIONS
7 Trade under Changing Networks and Technology 171(19)
7.1 Trade under a Changing Transport 172(14)
Network with Given Technology
7.1.1 An Enhanced Deterministic 174(2)
Interregional Model
7.1.2 Probabilistic Multi-Regional 176(4)
Flows with Multi-Regional Data
7.1.3 Probabilistic Interregional Flows 180(2)
with Multi-Regional Data
7.1.4 Implementation Issues 182(3)
7.1.5 Some Further Developments 185(1)
7.2 Changes in Both Transport Networks and 186(4)
Production Technology
7.2.1 Motivation for Model 186(1)
7.2.2 Proposed Interregional Model 187(3)
8 Illustration of Imperfect Competition 190(15)
8.1 Introduction 190(1)
8.2 A General Equilibrium Framework 191(7)
8.2.1 A Model of Producer Behaviour 191(3)
8.2.2 A Model of Buyer/Consumer 194(2)
Behaviour
8.2.3 Characterisation of the 196(2)
Equilibrium
8.3 Consideration of Imperfect Competition 198(4)
8.3.1 Specification of an Equilibrium 199(1)
8.3.2 Elements of a Stackelberg Approach 200(1)
8.3.3 Elements of a Solution Procedure 201(1)
8.3.4 Surplus Evaluation 202(1)
8.4 Future Directions 202(1)
Appendix 8.1 203(2)
9 Interregional Migration 205
9.1 Introduction 205(4)
9.1.1 Market Segmentation 205(1)
9.1.2 Choice Hierarchy 206(1)
9.1.3 Reliability of Projections 206(1)
9.1.4 Net Migration vs Gross Migration 207(1)
Models
9.1.5 Exogenous and Endogenous 208(1)
Quantities
9.1.6 Updating of Regional Populations 208(1)
9.1.7 Properties of the Migration Flow 209(1)
Pattern
9.2 Comparative Static Migration Model 209(7)
9.2.1 Notation 210(1)
9.2.2 Model Estimation 211(3)
9.2.3 Use of Estimated Model for 214(2)
Projection
9.2.4 Empirical Performance 216(1)
9.3 A Two-Stage Dynamic Estimation Procedure 216(11)
9.3.1 Relevant Previous Work 217(2)
9.3.2 New Model Specification and 219(3)
Estimation
9.3.3 Simple Application of the 222(2)
Two-Stage Model
9.3.4 Future Issues 224(3)
Future Challenges 227(2)
References 229(8)
Subject Index 237
1842328700
Part One The Casing 1 (56)
'The green field comes off'
Part Two The Tamper 57 (45)
'The woods stand round'
Part Three The Core 102(49)
'The bolt slides in its groove'
Part Four The Bullet 151(50)
'The sudden swift emergence'
Part Five The Initiator 201
'The Scissor-Man'