Coefficients of relationship by isonymy within and between the regions of Scotland.

The distribution of surnames for births, marriages and deaths in 1976 among residents of the 12 Local Government Regions of Scotland was analyzed in terms of the coefficient of relationship by isonymy, Ri. Differences between sexes and events for Ri within Regions were consistent with greater inter-Region mobility among males compared with females and among young adults compared with the elderly. There were near zero correlations of geographical distance with Ri between Regions based on all surnames or common surnames. With Ri based on rare surnames, there was a small though statistically nonsignificant negative correlation. The best-fitting two dimensional relationship derived from Ri values based on rare surnames showed a fair correspondence with the map of Scotland, indicating a degree of genetic isolation between the Regions.