Lines of descent and the coalescent
Theoretical Population Biology, 26 (1):
77 - 92 (1984)DOI: 10.1016/0040-5809(84)90025-X
Abstract
Some results of Kingman, Griffiths, and Ewens are unified in a probability distribution for the genealogical structure of a random sample of genes. The sample is partitioned into equivalence classes of two types, “old” and “new.” Old classes of genes are each descended from founder genes in a reference ancestral population without mutation, while new classes descend from more-recent mutant founders. From the probability distribution of the partition, some old and some new results are derived concerning allele frequencies in samples.