migration.inequality {migration.indices}

Migration Inequality Index

Description

Measures the distance from an expected distribution:

I_{MI} = \frac{ \sum_i \sum_{j \neq i} | M_{ij} - M_{ij}' | }{2}

Usage

migration.inequality(m, expected = c("equal", "weighted"))

Arguments

m

migration matrix

expected

type of expected distribution

Value

A number between 0 and 1 where 1 shows greater inequality.

References

• 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

Examples

data(migration.hyp)
migration.inequality(migration.hyp)
migration.inequality(migration.hyp, expected = 'weighted')
data(migration.world)
migration.inequality(migration.world)