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Spatial Contiguity Matrices

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Encyclopedia of GIS
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FormalPara 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, Getis-Ord 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 JK (1973) Autocorrelation, spatial. Pion, London

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Correspondence to Sumeeta Srinivasan .

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Srinivasan, S. (2017). Spatial Contiguity Matrices. In: Shekhar, S., Xiong, H., Zhou, X. (eds) Encyclopedia of GIS. Springer, Cham. https://doi.org/10.1007/978-3-319-17885-1_1253

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