Exchange Gini Index

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Description

The Exchange Gini Index "indicates the contribution to spatial focusing represented by the n(n-q) net interchanges in the system":

G^T_{RC, CR} = \frac{∑_i ∑_{j \neq i} | M_{ij} - M_{ji} | }{ (2n(n-1)-1) ∑_i ∑_{j \neq i} M_{ij}}

This implementation solves the above formula by simply substracting the transposed matrix's values from the original one at one go.

Usage

1

Arguments

m

migration matrix

Value

A number between 0 and 1 where 0 means no spatial focusing and 1 shows maximum focusing.

References

  • David A. Plane and Gordon F. Mulligan (1997) Measuring Spatial Focusing in a Migration System. Demography 34, 251–262

See Also

migration.gini migration.gini.exchange.standardized

Examples

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