migration.gini.out | R Documentation |
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.
migration.gini.out(m, corrected = TRUE)
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". |
A numeric vector with the range of 0 to 1 where 0 means no spatial focusing and 1 shows maximum focusing.
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
migration.gini
migration.gini.in
migration.weighted.gini.out
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
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