# migration.gini.out: Out-migration Field Gini Index In migration.indices: Migration indices

## Description

The Out-migration Field Gini Index is a decomposed version of the Rows Gini Index (migration.gini.row) representing "the contribution of each region's row to the total index" () (migration.gini.total):

G^O_i = \frac{∑_{j \neq i} ∑_{l \neq i,j} | M_{ij} - M_{il} | }{ 2(n-2) ∑_{j \neq k} M_{ij}}

These Gini indices facilitates the direct comparison of different territories without further standardization.

## Usage

 1  migration.gini.out(m, corrected = TRUE) 

## Arguments

 m migration matrix corrected Bell et al. (2002) updated the formula of Plane and Mulligan (1997) to be 2(n-2) instead of 2(n-1) because "the number of comparisons should exclude the diagonal cell in each row and column, and the comparison of each cell with itself".

## Value

A numeric vector with the range of 0 to 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

• M. Bell, M. Blake, P. Boyle, O. Duke-Williams, P. Rees, J. Stillwell and G. Hugo (2002) Cross-National Comparison of Internal Migration. Issues and Measures. Journal of the Royal Statistical Society. Series A (Statistics in Society) 165, 435–464

## See Also

migration.gini migration.gini.in migration.weighted.gini.out

## Examples

 1 2 3 4 5 data(migration.hyp) migration.gini.out(migration.hyp) # 0 0 0 migration.gini.out(migration.hyp2) # 0.000 0.25 0.000 migration.gini.out(migration.hyp, FALSE) # 0 0 0 migration.gini.out(migration.hyp2, FALSE) # 0.000 0.125 0.000 

migration.indices documentation built on May 29, 2017, 8:43 p.m.