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Transformations Through Space and Time

An Analysis of Nonlinear Structures, Bifurcation Points and Autoregressive Dependencies

  • Book
  • © 1986

Overview

Editors:
  1. Daniel A. Griffith

    1. Department of Geography, State University of New York at Buffalo, Buffalo, USA

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    You can also search for this editor in PubMed   Google Scholar

  2. Robert P. Haining

    1. Department of Geography, University of Sheffield, Sheffield, England

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    You can also search for this editor in PubMed   Google Scholar

Part of the book series: NATO Science Series D: (ASID, volume 29)

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Table of contents (17 chapters)

  1. Front Matter

    Pages I-X
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  2. Introduction

    1. Introduction

      • Daniel A. Griffith, Robert P. Haining
      Pages 1-6

  3. Transformations of Geographical Structures

    1. Front Matter

      Pages 7-9
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    2. Computable Space-Time Equilibrium Models

      • W. D. Macmillan
      Pages 10-26

    3. Trade as Spatial Interaction, and Central Places

      • Leslie Curry
      Pages 27-58

    4. Income Diffusion and Regional Economics

      • Robert Haining
      Pages 59-80

    5. Transportation Flows Within Central-Place Systems

      • Michael Sonis
      Pages 81-103

    6. Stochastic Migration Theory and Migratory Phase Transitions

      • Wolfgang Weidlich, Gunter Haag
      Pages 104-117

  4. Transformations of Urban Systems

    1. Front Matter

      Pages 118-120
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    2. Dynamic Central Place Theory: An Appraisal and Future Prospects

      • James Huff, Daniel A. Griffith, Michael Sonis, Lloyd Leifer, Debra Straussfogel
      Pages 121-151

    3. Non-Linear Representation of the Profit Impacts of Local Government Tax and Expenditure Decisions

      • R. J. Bennett
      Pages 152-164

    4. Comprehensive Dynamic Urban Models: Integrating Macro- and Micro-Approaches

      • Mark Birkin, Martin Clarke
      Pages 165-191

    5. New Developments of a Dynamic Urban Retail Model With Reference to Consumers’ Mobility and Costs for Developers

      • Silvana T. Lombardo
      Pages 192-208

  5. Transformations Involving Interactions Over Space

    1. Front Matter

      Pages 209-211
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    2. Disequilibrium in the Canadian Regional System: Preliminary Evidence, 1961–1983

      • P. S. Kanaroglou, Y. Y. Papageorgiou
      Pages 212-233

    3. Modelling an Economy in Space and Time: The Direct Equilibrium Approach With Attraction-Regulated Dynamics

      • Bruno Dejon
      Pages 234-246

    4. Towards a Behavioral Model of a Spatial Labor Market

      • Carl G. Amrhein, Ross D. MacKinnon
      Pages 247-272

    5. Modeling Discontinuous Change in the Spatial Pattern of Retail Outlets: A Methodology

      • A. Stewart Fotheringham, Daniel C. Knudsen
      Pages 273-292

  6. Transformations Involving Autoregressive Dependencies

    1. Front Matter

      Pages 293-294
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    2. Problems in the Estimation of the Spatial Autocorrelation Function Arising From the Form of the Weights Matrix

      • Giuseppe Arbia
      Pages 295-308
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Keywords

About this book

In recent years there has been a growing concern for the development of both efficient and effective ways to handle space-time problems. Such developments should be theoretically as well as empirically oriented. Regardless of which of these two arenas one enters. the impression is quickly gained that contemporary wO,rk on dynamic and evolutionary models has not proved to be as illuminating and rewarding as first anticipated. Historically speaking. the single. most important lesson this avenue of research has provided. is that linear models are woefully inadequate when dominant non-linear trends and relationships prevail. and that independent activities and actions are all but non-existent in the real-world. Meanwhile. one prominent imp 1 ication stemming from this 1 iterature is that the easiest modelling tasks are those of specifying good dynamic space-time models. Somewhat more problematic are the statistical questions of model specification. parameter estimation. and model validation. whereas even more problematic is the operationalization of evolutionary conceptual models. A timely next step in spatial analysis would seem to be a return to basics. with a pronounced focus both on specific problems (and data) and on the mechanisms that transform phenomena through space and/or time'. It appears that these transformation mechanisms must embrace both non-linear and autoregressive formalisms. Given. also. the variety of geographic forms. they must allow for bifurcation points to emerge. too.

Editors and Affiliations

  • Department of Geography, State University of New York at Buffalo, Buffalo, USA

    Daniel A. Griffith

  • Department of Geography, University of Sheffield, Sheffield, England

    Robert P. Haining

Bibliographic Information

  • Book Title: Transformations Through Space and Time

  • Book Subtitle: An Analysis of Nonlinear Structures, Bifurcation Points and Autoregressive Dependencies

  • Editors: Daniel A. Griffith, Robert P. Haining

  • Series Title: NATO Science Series D:

  • DOI: https://doi.org/10.1007/978-94-009-4430-5

  • Publisher: Springer Dordrecht

  • eBook Packages: Springer Book Archive

  • Copyright Information: Martinus Nijhoff Publishers, Dordrecht 1986

  • Hardcover ISBN: 978-90-247-3362-0Due: 30 June 1986

  • Softcover ISBN: 978-94-010-8472-7Published: 13 October 2011

  • eBook ISBN: 978-94-009-4430-5Published: 06 December 2012

  • Series ISSN: 0258-123X

  • Edition Number: 1

  • Number of Pages: 336

  • Topics: Regional/Spatial Science

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