Journal ArticleDOI
On Searching for the Most Informative Spatial Pattern
Michael Batty,R Sammons +1 more
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In this article, the authors defined an appropriate measure of information and an algorithm designed to optimise its value, which is in essence a modified Shannon entropy, modified to account for uneven zonal configurations and converging to Shannon entropy when the zoning system is equal-area and the distribution the best approximation to the density.Abstract:
This paper is concerned with an inquiry into the way in which the organisation of a spatial data set affects the interpretation of the spatial phenomena which it records, in terms of its underlying pattern or density. It is argued that the number and configuration of zones affects the level of information which is imparted to the spatial analyst, and thus the quest becomes one in which the data set is to be reorganised spatially to impart maximum information. The paper sets out to define an appropriate measure of information and an algorithm designed to optimise its value. The information measure developed is in essence a modified Shannon entropy, modified to account for uneven zonal configurations and converging to Shannon entropy when the zoning system is equal-area and the distribution the best approximation to the density. The measure has some well-known aggregation properties which are presented and several interpretations of its form in spatial terms are made. Empirical measurements of this informat...read more
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Journal ArticleDOI
The Modifiable Areal Unit Problem in Multivariate Statistical Analysis
A S Fotheringham,David Wong +1 more
TL;DR: The modifiable areal unit problem is shown to be essentially unpredictable in its intensity and effects in multivariate statistical analysis and is therefore a much greater problem than in univariate or bivariate analysis.
Journal ArticleDOI
An information statistical approach to the modifiable areal unit problem in incidence rate maps
TL;DR: A new methodology to select appropriate areal units using the Akaike information criterion and two search methods for an informative geographical aggregation in map construction is proposed.
Posted Content
Retail Location Theory: Evolution and Evaluation
TL;DR: The authors reviewed the literature on retail location theory, describes some recent and comparatively unsung advances, presents a simple model of conceptual evolution and draws attention to several neglected research issues, including the concept of minimum differentiation.
Journal ArticleDOI
Retail location theory: evolution and evaluation
TL;DR: The authors reviewed the literature on retail location theory, describes some recent and comparatively unsung advances, presents a simple model of conceptual evolution and draws attention to several neglected research issues, including the concept of minimum differentiation.
Posted Content
Commuter networks and community detection: a method for planning sub regional areas
TL;DR: It is concluded that the recently instituded provinces in Sardinia have been designed -even unconsciously- as labour basins of municipalities with similar commuting behaviour.
References
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Journal ArticleDOI
A mathematical theory of communication
TL;DR: This final installment of the paper considers the case where the signals or the messages or both are continuously variable, in contrast with the discrete nature assumed until now.
Journal ArticleDOI
Information Theory and Statistical Mechanics. II
TL;DR: In this article, the authors consider statistical mechanics as a form of statistical inference rather than as a physical theory, and show that the usual computational rules, starting with the determination of the partition function, are an immediate consequence of the maximum-entropy principle.
Journal ArticleDOI
A geographical solution to scale and aggregation problems in region-building, partitioning and spatial modelling
TL;DR: A geographical solution to the scale and aggregation problems frequently encountered in studies of spatially aggregated data is described and a heuristic procedure is described which may solve this problem and it is demonstrated by reference to an empirical study.