migration.connectivity: Migration Connectivity Index
Description
The Migration Connectivity Index measures "the proportion of the total number of potential interregional flows which are not zero":
$$I_{MC} = \sum_i \sum_{j \neq i} \frac{MC_{ij}}{n(n-1)}$$
where \(MC_{ij}\) is 0 if the flow from \(i\) to \(j\) is zero and let it be 1 otherwise.
Usage
migration.connectivity(m)
Arguments
m
migration matrix
Value
A number between 0 and 1 where zero shows no connections between regions.
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