Article citationsMore>>

Athanasiadis, G., Cheng, J.Y., Vilhjálmsson, B.J., Jørgensen, F.G., Als, T.D., Le Hellard, S., Espeth, T., Sullivan, P.F., Hultman, C.M., Kjærgaard, P.C., Schierup, M.H. and Mailumd, M. (2016) Nationwide Genomic Study in Denmark Reveals Remarkable Population Homogeneity. Genetics, 204, 711-722.
https://doi.org/10.1534/genetics.116.189241

has been cited by the following article:

• TITLE: The Probability of Pairwise Shared Ancestry and the Expected Number of Pairs of k-th Cousins in a Population Sample

  AUTHORS: Philip M. Service

  KEYWORDS: Pairwise Shared Ancestry, Simulation, Denmark, Number of Cousins, Population Sample, Population Structure

  JOURNAL NAME: Natural Science, Vol.14 No.11, November 9, 2022

  ABSTRACT: An analytical solution is derived for the probability that a random pair of individuals from a panmictic population of size N will share ancestors who lived G generations previously. The analysis is extended to obtain 1) the probability that a sample of size s will contain at least one pair of (G - 1)th cousins; and 2) the expected number of pairs of (G - 1)th cousins in that sample. Solutions are given for both monogamous and promiscuous (non-monogamous) cases. Simulation results for a population size of N = 20,000 closely approximate the analytical expectations. Simulation results also agree very well with previously derived expectations for the proportion of unrelated individuals in a sample. The analysis is broadly consistent with genetic estimates of relatedness among a sample of 406 Danish school children, but suggests that a different genetic study of a heterogenous sample of Europeans overestimates the frequency of cousin pairs by as much as one order of magnitude.