Faculty Publications

The Effect Of Inbreeding Constraints And Offspring Distribution On Time To The Most Recent Common Ancestor

Document Type

Article

Keywords

Coalescent, Genetic identity, Pedigrees

Journal/Book/Conference Title

Journal of Theoretical Biology

Volume

382

First Page

74

Last Page

80

Abstract

The expected time to the most recent common ancestor (MRCA) of two alleles in a diploid individual is 4. N+. 2 under random mating with a Poisson progeny distribution, but 8. N- 2 under maximum avoidance of inbreeding, which entails two progeny per mating pair. (N is the number of mating pairs, hence 2. N is the number of individuals, hence 4. N is the number of alleles.) The interrelationship of inbreeding constraints and offspring distribution is investigated by varying the level of sib mating: prohibiting sib mating increases the time to MRCA by four generations and decreases the variance of the offspring distribution by 2/. N. With two progeny per mating pair, the expected time to the MRCA is 8. N- 2 under both random mating and sib mating prohibited, as well as under maximum avoidance of inbreeding, but this result does not hold for all mating structures with two progeny per mating pair.

Department

Department of Biology

Original Publication Date

10-7-2015

DOI of published version

10.1016/j.jtbi.2015.06.037

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