Concepts of random mating and the frequency of consanguineous marriages

@article{Hajnal1963ConceptsOR,
  title={Concepts of random mating and the frequency of consanguineous marriages},
  author={John Hajnal},
  journal={Proceedings of the Royal Society of London. Series B. Biological Sciences},
  year={1963},
  volume={159},
  pages={125 - 177}
}
  • J. Hajnal
  • Published 10 December 1963
  • Mathematics
  • Proceedings of the Royal Society of London. Series B. Biological Sciences
Formulae due to Dahlberg for computing the numbers of consanguineous matings to be expected under random mating fail in the case of overlapping generations. The concept of random mating can be extended to cover overlapping generations by making the chance of muting between a male and female depend on the interval between their dates of birth. This concept of random mating is illustrated by a numerical example based on a simple hypothetical organism. The implications of the suggested concept of… 

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References

Frequencies of pedigrees of consanguineous marriages and mating structure of the population

TLDR
There is highly significant heterogeneity of the frequencies of pedigrees within each of the above six major types (degrees) of consanguineous marriages; the analysis of such heterogeneity can offer some insight into the mating structure of the population.