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Journal ArticleDOI

Optimal Zoning Systems for Spatial Interaction Models

Stan Openshaw
- 01 Feb 1977 - 
- Vol. 9, Iss: 2, pp 169-184
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TLDR
It is demonstrated that zoning-system effects on parameter values and model performance are nontrivial, and that their magnitude is far larger than was previously thought likely.
Abstract
The design of zoning systems for spatial interaction models is a major problem which affects both the interpretation and acceptability of these models. This paper demonstrates that zoning-system effects on parameter values and model performance are nontrivial, and that their magnitude is far larger than was previously thought likely. An approach which is most appropriate in an applied context, where there is also the problem of poor model performance, is to identify a zoning system which will approximately optimise model performance. The paper gives details of how this may be achieved. This method is demonstrated by a series of empirical studies. Finally, there is a brief discussion of the general implications for spatial model building.

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Citations
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The Modifiable Areal Unit Problem in Multivariate Statistical Analysis

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The modifiable areal unit problem and implications for landscape ecology

TL;DR: The Modifiable Areal Unit Problem (MAUP) as discussed by the authors applies to two separate, but interrelated, problems with spatial data analysis, where the same set of areal data is aggregated into several sets of larger areal units with each combination leading to different data values and inferences.
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A new set of spatial-interaction models: the theory of competing destinations.

TL;DR: Members of the family of spatial-interaction models commonly referred to as gravity models are shown to be misspecified and an undesirable ‘spatial-structure effect’ in estimated distance-decay parameters is examined.
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Constructing the Spatial Weights Matrix Using a Local Statistic

TL;DR: The two-variable local statistics model (LSM) as discussed by the authors is based on the G i * local statistic, defined as the critical distance beyond which no discernible increase in clustering of high or low values exists.
References
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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.
Journal ArticleDOI

A spatial analysis of gravity flows

TL;DR: In this paper, Curry et al. investigated the association between the spatial distribution of jobs and homes using a spatial regression operator which is interpreted as the impulse response function of a second order difference equation.
Journal ArticleDOI

Hierarchical Aggregation Procedures for Interaction Data

TL;DR: In this paper, a hierarchical aggregation procedure for interaction data is considered in relation to the design of spatial systems for operational versions of interaction models, and the application of the intramax procedure is illustrated with reference to the identification of migration subsystems within Greater London and the definition of labour-market areas within Merseyside.
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