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Evaluation of ancestral inbreeding coefficients: Ballou’s formula versus gene dropping

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Conservation Genetics : Volume 8, Issue 1, February 2007

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Evaluation of ancestral inbreeding coefficients: Ballou’s formula versus gene dropping

Content Provider	Springer Nature Link
Author	Suwanlee, Surachai Baumung, Roswitha Sölkner, Johann
Copyright Year	2006
Abstract	Estimation of the purging of detrimental effects through inbreeding and selection is an important issue in conservation genetics opening new perspectives for the management of small populations. In 1997 Ballou proposed the ancestral inbreeding coefficient, which is calculated recursively via pedigree inbreeding coefficients, as a tool for evaluating the purging of deleterious alleles in zoo populations. The formula of Ballou assumes independence of inbreeding and ancestral inbreeding coefficients at any stage of the recursion. This study investigates the consequences of this inaccuracy on the estimation of true ancestral inbreeding, i.e. the proportion of alleles within a genome that has undergone inbreeding in the past. As an alternative we propose the estimation of ancestral inbreeding by the method of gene dropping. The methods are compared by stochastic simulation for various models with respect to mode of inheritance (neutral, detrimental and lethal alleles) and different settings for population size and initial allele frequencies. In all scenarios the proportion of alleles within a genome that has undergone inbreeding in the past was overestimated by Ballou’s formula. The overestimation was more pronounced in smaller populations but was not affected by genetic model or initial allele frequency. In contrast, the ancestral inbreeding coefficient calculated by gene dropping provided a robust estimate of ancestral inbreeding in most models and settings. A marginal overestimation was observed only in models with lethal alleles. Therefore, we recommend applying the gene dropping approach to estimate ancestral inbreeding coefficients.
Starting Page	489
Ending Page	495
Page Count	7
File Format	PDF
ISSN	15660621
Journal	Conservation Genetics
Volume Number	8
Issue Number	2
e-ISSN	15729737
Language	English
Publisher	Kluwer Academic Publishers
Publisher Date	2006-09-28
Publisher Place	Dordrecht
Access Restriction	One Nation One Subscription (ONOS)
Subject Keyword	Ancestral inbreeding Inbreeding depression Genetic load Purging Stochastic simulations Evolutionary Biology Plant Sciences Animal Anatomy / Morphology / Histology Human Genetics
Content Type	Text
Resource Type	Article
Subject	Genetics Ecology, Evolution, Behavior and Systematics

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