Synonyms
Spatial weight matrices
Definition
These are spatial matrices that are used to define spatial contiguity.
Main Text
The contiguity relations used for spatial autocorrelation measures such as Moran and Geary are in terms of sets of neighbors of location i. These are coded in the form of a weights matrix W, with a zero diagonal, and the off‐diagonal non‐zero elements. The off-diagonal elements are often scaled to sum to unity in each row. They indicate the proximity of locations either through distance measures or by equaling 1 when the locations are proximate and 0 otherwise.
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Recommended Reading
Cliff, A., Ord, J.K.: Autocorrelation, Spatial. Pion, London (1973)
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© 2008 Springer-Verlag
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Srinivasan, S. (2008). Spatial Contiguity Matrices. In: Shekhar, S., Xiong, H. (eds) Encyclopedia of GIS. Springer, Boston, MA. https://doi.org/10.1007/978-0-387-35973-1_1253
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DOI: https://doi.org/10.1007/978-0-387-35973-1_1253
Publisher Name: Springer, Boston, MA
Print ISBN: 978-0-387-30858-6
Online ISBN: 978-0-387-35973-1
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