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Balding-Nichols model: Information from Answers.com

The Balding-Nichols model is a statistical description of the allele frequencies in the components of a sub-divided population. With background allele frequency p the allele frequencies, F, in sub-populations separated by Wright's F_ST, are distributed according to independent draws from

$B\left(\frac{1-F_{ST}}{F_{ST}}p,\frac{1-F_{ST}}{F_{ST}}(1-p)\right)$

where B is the Beta distribution. This distribution has mean p and variance F_ST p(1 – p).^[1]

The model is due to David Balding and Richard Nichols and is widely used in the forensic analysis of DNA profiles and in population models for genetic epidemiology.

Notes

^ Price et al. (2006)

Reference

Alkes L Price, Nick J Patterson, Robert M Plenge, Michael E Weinblatt, Nancy A Shadick, David Reich (2006) Principal components analysis corrects for stratification in genome-wide association studies. Nature Genetics, 38(8), 904-909. doi:10.1038/ng1847 online

v • d • e Topics in population genetics

Key concepts	Hardy-Weinberg law · Genetic linkage · Linkage disequilibrium · Fisher's fundamental theorem · Neutral theory · Price equation

Selection	Natural · Sexual · Artificial · Ecological

Effects of selection on genomic variation	Genetic hitchhiking · Background selection

Genetic drift	Small population size · Population bottleneck · Founder effect · Coalescence · Balding-Nichols Model

Founders	R.A. Fisher · J. B. S. Haldane · Sewall Wright

Related topics	Evolution · Microevolution · Evolutionary game theory · Fitness landscape · Genetic genealogy

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