Geary's C

A more commonly used spatial autocorrelation statistic

Global spatial autocorrelation

true

Contributor(s)

Initial contribute: 2021-06-15

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Method-focused categoriesData-perspectiveGeostatistical analysis

Detailed Description

English {{currentDetailLanguage}} English

Like Moran's index, Geary's C is a common statistic used to measure spatial autocorrelation.Formula is as follows:

\( C=\frac{n-1}{2S_0}.\frac{\sum_{i=1}^n\sum_{j=1}^{n}w_{ij}(x_i-x_j)^2}{\sum_{i=1}^{n}(x_i-x_{average})^2} \)

\( x_i \)repesents the observed value at the ith spatial position.\( x_{average} \) repesents the mean of the whole region. W repesents the spatial weight matrix.

By contrast, Moran's I values range from -1 to 1, and Geary's C values range from 0 to 2.And  \( \sum_{j=1}^{n}w_{ij}(x_i-x_j)^2 \) is a direct representation of the observation of the i element and the nearby element, which is different from the Moran's I.

So when Geary's is less than 1, it indicates a positive spatial autocorrelation.

When Geary's is greater than 1, it indicates a negative spatial autocorrelation.

A value of 1 for Geary's indicates that there is no spatial autocorrelation.

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Contributor(s)

Initial contribute : 2021-06-15

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Last modifier
wu kai
Last modify time
2021-06-16
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