Paper Info
Title
A multiscale measure of spatial dependence based on a discrete Fourier transform
Abstract
The measurement of spatial dependence within a set of observations or the residuals from a regression is one of the most common operations within spatial analysis. However, there appears to be a lack of appreciation for the fact that these measurements are generally based on an a priori definition of a spatial weights matrix and hence are limited to detecting spatial dependence at a single spatial scale. This paper highlights the scale-dependence problem with current measures of spatial dependence and defines a new, multi-scale approach to defining a spatial weights matrix based on a discrete Fourier transform. This approach is shown to be able to detect statistically significant spatial dependence which other multi-scale approaches to measuring spatial dependence cannot. The paper thus serves as a warning not to rely on traditional measures of spatial dependence and offers a more comprehensive, and scale-free, approach to measuring such dependence.
Year
DOI
Venue
2022
10.1080/13658816.2021.2017440
INTERNATIONAL JOURNAL OF GEOGRAPHICAL INFORMATION SCIENCE
Keywords
DocType
Volume
Multiscale, spatial dependence, Moran's I, Fourier transform, spatial weights matrix
Journal
36
Issue
ISSN
Citations 
5
1365-8816
0
PageRank 
References 
Authors
0.34
0
2
Name
Order
Citations
PageRank
Hanchen Yu102.03
A. Stewart Fotheringham214333.77