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 |

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**, 251–262M. 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

migration.indices documentation built on June 13, 2022, 5:08 p.m.

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