Transformations Through Space and Time: An Analysis of Nonlinear Structures, Bifurcation Points and Autoregressive Dependencies

by Daniel A. Griffith (Editor), Robert P. Haining (Editor)

Overview

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.

Product Details

ISBN-13:	9789401084727
Publisher:	Springer Netherlands
Publication date:	10/13/2011
Series:	NATO Science Series D: , #29
Edition description:	Softcover reprint of the original 1st ed. 1986
Pages:	336
Product dimensions:	6.10(w) x 9.25(h) x 0.03(d)

Table of Contents

Section 1. Transformations of Geographical Structures.- Computable Space-time Equilibrium Models.- Trade as Spatial Interaction and Central Places.- Income Diffusion and Regional Economics.- Transportation Flows Within Central Place Systems.- Shastic Migration Theory and Migratory Phase Transitions.- Section 2. Transformations of Urban Systems.- Dynamic Central Place Theory: An Appraisal and Future Prospects.- Non-linear Representation of the Profit Impacts of Local Government Tax and Expenditure Decisions.- Comprehensive Dynamic Urban Models: Integrating Macro- and Micro-approaches.- New Developments of a Dynamic Urban Retail Model With Reference to Consumers’ Mobility and Costs for Developers.- Section 3. Transformations Involving Interactions Over Space.- Disequilibrium in the Canadian Regional System: Preliminary Evidence, 1961–1983.- Modelling an Economy in Space and Time: The Direct Equilibrium Approach With Attraction-regulated Dynamics.- Towards a Behavioral Model of a Spatial Labor Market.- Modeling Discontinuous Change in the Spatial Pattern of Retail Outlets: A Methodology.- Section 4. Transformations Involving Autoregressive Dependencies.- Problems in the Estimation of the Spatial Auorrelation Function Arising From the Form of the Weights Matrix.- Model Identification for Estimating Missing Values in Space-time Data Series: Monthly Inflation in the U. S. Urban System, 1977–1985.- Epilogue.- Institute Participants.