Spatial interaction and spatial autocorrelation: A cross-product approach

Abstract

A cross-product statistic is used to demonstrate that spatial interaction models are a special case of a general model of spatial autocorrelation. A series of traditional measures of spatial autocorrelation is shown to have a cross-product form. Several interaction models are shown to have a similar form. A general spatial statistic is developed which indicates that the relationship between the two types of models is particularly strong when the focus is on measurements from a single point.