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Spatial Gini Index

Source: R/global-gini.R
spatial_gini.Rd

Calculates the spatial Gini index for a given numeric vector and neighbor list. Based on the formula provided Rey and Smith (2013).

Usage

spatial_gini(x, nb)

Arguments

x

a numeric vector without missing values

nb

a neighbor list, for example created with st_contiguity()

Value

A data frame with columns:

  • G: the Gini index

  • NBG: the neighbor composition of the Gini coefficient

  • NG: the non-neighbor composition of the Gini coefficient

  • SG: the Spatial Gini which is equal to \(NG * \frac{1}{G}\)

Details

The Gini index is a global measure of inequality based on the Lorenz curve. It ranges between 0 and 1 where 0 is perfect equality and 1 is perfect inequality.

The spatial Gini index decomposes the Gini coefficient based on spatial neighbors.

References

doi:10.1007/s12076-012-0086-z

Examples

nb <- st_contiguity(guerry)
x <- guerry$wealth
spatial_gini(x, nb)
#>           G        NG       NBG        SG
#> 1 0.3306568 0.3164337 0.0142231 0.9569853