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Spatial Contiguity Matrices

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Encyclopedia of GIS

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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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Author information

Authors and Affiliations

  1. School of Engineering and Applied Sciences, Harvard University, Cambridge, MA, USA

    Sumeeta Srinivasan

Authors
  1. Sumeeta Srinivasan
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Corresponding author

Correspondence to Sumeeta Srinivasan .

Editor information

Editors and Affiliations

  1. Minneapolis, Minnesota, USA

    Shashi Shekhar

  2. Rutgers Business School, Newark, New Jersey, USA

    Hui Xiong

  3. The University of Iowa Tippie College of Business, Iowa City, Iowa, USA

    Xun Zhou

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© 2016 Springer International Publishing Switzerland

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Srinivasan, S. (2016). Spatial Contiguity Matrices. In: Shekhar, S., Xiong, H., Zhou, X. (eds) Encyclopedia of GIS. Springer, Cham. https://doi.org/10.1007/978-3-319-23519-6_1253-2

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  • DOI: https://doi.org/10.1007/978-3-319-23519-6_1253-2

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  • Publisher Name: Springer, Cham

  • Online ISBN: 978-3-319-23519-6

  • eBook Packages: Springer Reference Computer SciencesReference Module Computer Science and Engineering

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