On the Four Types of Weight Functions for Spatial Contiguity Matrix

Abstract

This is a "spatial autocorrelation analysis" of spatial autocorrelation. I use the 1-dimension spatial autocorrelation function (ACF) and partial autocorrelation function (PACF) to analyze four kinds of weight function in common use for the 2-dimensional spatial autocorrelation model. The aim of this study is at how to select a proper weight function to construct a spatial contiguity matrix for spatial analysis. The scopes of application of different weight functions are defined in terms of the characters of their ACFs and PACFs.

arXiv comment8 pages, 5 figures, 2 tables

Cited by in corpus (6)

• New Approaches for Calculating Moran's Index of Spatial Autocorrelation
• An Analytical Process of Spatial Autocorrelation Functions Based on Moran's Index
• The Distance-Decay Function of Geographical Gravity Model: Power Law or Exponential Law?
• A New Methodology of Spatial Crosscorrelation Analysis
• New Framework of Getis-Ord's Indexes Associating Spatial Autocorrelation with Interaction
• Characteristic Scales, Scaling, and Geospatial Analysis