Summary
A one locus model has been developed to describe parthenogenetic populations restoring diploidy by central fusion, terminal fusion and gamete duplication. It was found that in the absence of selection all populations become homozygous. With selection, however, it is possible to maintain heterozygotes and homozygotes. The conditions required to yield such an equilibrium are a function of (1) the proportions of the various diploid restoring mechanisms (2) linkage to the kinetochore and (3) the intensity of selection. The model was then used to derive one-generation likelihood functions. These likelihoods were used in deriving estimation procedures for the frequency of gamete duplication which is important in forming isogenic lines and for the probability of a heterozygous female giving rise to a heterozygous zygoid. Next, n-generation likelihood functions with and without selection were calculated. These were used to estimate the selection coefficient and to derive two tests of the hypothesis of no selection versus the hypothesis of selection. The first test is a locally best test in the vicinity of no selection, and the second an “odds” for the hypotheses using a prior distribution on the selection coefficient.
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Communicated by R. W. Allard
The experimental work was supported by AEC Contract At (11-1)-1552 awarded to Charles F. Sing, Department of Human Genetics, the University of Michigan.
This work was carried out while Templeton was a recipient of an NSF predoctoral fellowship.
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Templeton, A.R., Rothman, E.D. The population genetics of parthenogenetic strains of Drosophila mercatorum . Theoret. Appl. Genetics 43, 204–212 (1973). https://doi.org/10.1007/BF00309135
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DOI: https://doi.org/10.1007/BF00309135