NDLI: Deviations from Hardy-Weinberg Frequencies Caused by Assortative Mating in Hybrid Populations

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Deviations from Hardy-Weinberg Frequencies Caused by Assortative Mating in Hybrid Populations

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Deviations from Hardy-Weinberg Frequencies Caused by Assortative Mating in Hybrid Populations

Content Provider	World Health Organization (WHO)-Global Index Medicus
Author	Shockley, W.
Abstract	The conventional formulas for genotype frequencies in a hybrid population H produced by interbreeding from ancestral populations P(1) and P(2) involve only one hybrid parameter M, equal to the fraction of alleles derived from P(2). For the one-parameter model to be accurate, all individuals of H must have probabilities for alleles determined by one and the same M. When H contains subpopulations that have different values of M, the correct genotype frequencies can be predicted by use of two parameters: (i) M(H), the average of M for all individuals of H and (ii) eta(H), defined like the eta devised by C. A. B. Smith for testing the Hardy-Weinberg Law and computed with a formula like G. R. Price's eta, which involves assortative mating covariance-in this case for the M values of the parents of H. If parents of H have equal average M values for males and females, and mate at random, eta(H) vanishes. For perfect assortative mating, eta(H) is the variance of M for H. As for Smith's eta, eta(H) provides a test of fit of prediction to observed that is sensitive to signs of deviations. Using eta(H) with T. E. Reed's data for Gm in Oakland, California Negroes, his one-parameter fit ('good' by his chi-square test) is significantly rejected (P = 0.04). A simultaneous good fit of Reed's Gm data and his Duffy data results (chi-square, 1 df = 0.88, P > 0.30) from the use of previously published values of 0.23 and 0.047 for M(H) and eta(H). It is concluded that Reed's conclusion that these values were in error is itself in error, as is also his view that differences between M values from different genes and deviations from frequencies expected within genes are not likely to give significant information about variance of M.
ISSN	00278424
e-ISSN	10916490
Journal	Proceedings of the National Academy of Sciences of the United States of America
Issue Number	3
Volume Number	70
Language	English
Publisher	National Academy of Sciences
Publisher Date	1973-09-01
Publisher Place	United States
Access Restriction	Open
Subject Keyword	Gene Frequency Hybridization, Genetic African Continental Ancestry Group Alleles European Continental Ancestry Group Genotype Models, Biological Phenotype Probability Multidisciplinary
Content Type	Text
Resource Type	Article
Subject	Multidisciplinary

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