Geary’s c for Multivariate Spatial Data

Hiroshi Yamada ()
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Hiroshi Yamada: Graduate School of Humanities and Social Sciences, Hiroshima University, 1-2-1 Kagamiyama, Higashi-Hiroshima 739-8525, Japan

Mathematics, 2024, vol. 12, issue 12, 1-12

Abstract: Geary’s c is a prominent measure of spatial autocorrelation in univariate spatial data. It uses a weighted sum of squared differences. This paper develops Geary’s c for multivariate spatial data. It can describe the similarity/discrepancy between vectors of observations at different vertices/spatial units by a weighted sum of the squared Euclidean norm of the vector differences. It is thus a natural extension of the univariate Geary’s c . This paper also develops a local version of it. We then establish their properties.

Keywords: spatial autocorrelation; Geary’s c; graph Laplacian; graph Fourier transform; graph learning (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2024
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