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.
Original language | English (US) |
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Pages (from-to) | 849-872 |
Number of pages | 24 |
Journal | International Journal of Geographical Information Science |
Volume | 36 |
Issue number | 5 |
DOIs | |
State | Published - 2022 |
Externally published | Yes |
Keywords
- Fourier transform
- Moran’s I
- Multiscale
- spatial dependence
- spatial weights matrix
ASJC Scopus subject areas
- Information Systems
- Geography, Planning and Development
- Library and Information Sciences