Spatial Analysis of Interacting Economies The Role of Entropy and In
6. 2 Basic Model Characteristics 185 6. 3 A Closed Model Approach to Interregional Estimation 189 7 Towards an Integrated System of Models for National and Regional Development 205 7. 1 Introduction 205 7. 2 In Search of a Framework for Integration 207 7.
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STUDIES IN APPLIED REGIONAL SCIENCE
Editor-in-Chief Peter Nijkamp, Vrije Universiteit, AInsterdam, The Netherlands Editorial Board
A.
E. Andersson, University of Umea, Umea
w. Isard, Cornell University, Ithaca
L. H. Klaassen, Netherlands Economic Institute, Rotterdam I. Masser, University of Sheffield, Sheffield
N. S. Sakashita, University of Tsukuba, Sakura
SPATIAL ANALYSIS OF INTERACTING ECONOMIES The Role of Entropy and Information Theory in Spatial Input -Output Modeling David F. Batten
Springer Science+-Business Media, LLC
Library of Congress Cataloging in Publication Data Batten, David. Entropy, infoffilation theory, and spatial inputoutput analysis. (Studies in applied regional science) Includes bibliographical references and index. 1. Interindustry economics. 2. Regional economics-Mathematical models. 3. Infoffilation theory in economics. 4. Entropy (Infoffilation theory) 1. Title. HB142.B38 339.2'0724 82-15363 MCRS ISBN 978-94-017-3042-6 ISBN 978-94-017-3040-2 (eBook) DOI 10.1007/978-94-017-3040-2
Copyright © 1983 by Springer Science+Business Media New York Originally published by Kluwer-NijhoffPublishing in 1983 Softcover reprint of the hardcover 1st edition 1983
No part of this book may be reproduced in any form by print, photoprint, microÎllm, or any other means, without written permission from the publisher.
CONTENTS List of Figures
vii
List of Tables
ix
Preface 1 Introduction 1.1 The Problem and its Importance 1.2 Scope of the Present Investigation 1.3 Plan of Each Chapter 2 A Review of Entropy and Information Theory 2.1 Introduction 2.2 Theol}' 2.3 Selected Applications 3 Probability Distributions for Commodity Flows 3.1 Introduction 3.2 Production-Constrained Distributions 3.3 Doubly-Constrained Distributions 3.4 Concluding Remarks 4 Non-Spatial Input-Output Analysis
4.1 4.2 4.3
Introduction Basic Model Characteristics Some Information-Theoretical Formulations
5 Intersectoral Flows in Space: Static Formulations 5.1 Introduction 5.2 Basic Model Characteristics 5.3 Existing Non-Smvey Techniques for Estimating Spatial Flows 5.4 A Consistent Approach to Interregional Estimation
xiii 1 2 6 8
15
15 17
31 53
53 55 70 72
79 79 82 101 131 131 134 139 148
6 Intersectoral Flows in Space: Dynamic Formulations 6.1 Introduction 6.2 Basic Model Characteristics 6.3 A Closed Model Approach to Interregional Estimation 7 Towards an Integrated System of Models for National and Regional Development 7.1 Introduction 7.2 In Search of a Framework for Integration National Development Scenarios 7.3 7.4 The National-Regional Interlace 7.5 Regional Development Scenarios 7.6 Concluding Remarks
183 183 185 189
205 205 207 222 231 236 244
Appendixes A Basic Microstate Descriptions B Incomplete Prior Information: A Simple Example C Computing Capital Coefficients and Turnpike Solutions: The DYNIO Package Minimizing Information Losses in Simple D Aggregation: Two Test Problems Computing Interregional and Intersectoral Flows: E
274 276
References
287
Index
305
vi
253 253 257 259
LIST OF FIGU
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