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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
Recommended Citation
Campbell, R. B., "The Effect Of Inbreeding Constraints And Offspring Distribution On Time To The Most Recent Common Ancestor" (2015). Faculty Publications. 1200.
https://scholarworks.uni.edu/facpub/1200