Analysis of selection in populations observed over a sequence of consecutive generations

Summary A statistical model is presented for dealing with genotypic frequency data obtained from a single population observed over a run of consecutive generations. This model takes into account possible correlations that exist between generations by conditioning the marginal probability distribution of any one generation on the previously observed generation. Maximum likelihood estimates of the fitness parameters are derived and a hypothesis testing framework developed. The model is very general, and in this paper is applied to random-mating, selfing, parthenogenetic and mixed random-mating and selfing populations with respect to a single locus, g-allele model with constant genotypic fitness differences with all selection occurring either before or after sampling. The assumptions behind this model are contrasted with those of alternative techniques such as minimum chi-square or unconditional maximum likelihood estimation when the marginal likelihoods for any one generation are conditioned only on the initial conditions and not the previous generation. The conditional model is most appropriate when the sample size per generation is large either in an absolute sense or in relation to the total population size. Minimum chi-square and the unconditional likelihood are most appropriate when the population size is effectively infinite and the samples are small. Both models are appropriate when the samples are large and the population size is effectively infinite. Under these last conditions, the conditional model may be preferred because it has greater robustness with respect to small deviations from the underlying assumptions and has a greater simplicity of form. Furthermore, if any genetic drift occurs in the experiment, the minimum chi-square and unconditional likelihood approaches can create spurious evidence for selection while the conditional approach will not. Worked examples are presented.This study was supported in part by the U. S. Atomic Energy Commission, Contract AT (11-1) -1552 to the Department of Human Genetics (CFS), University of Michigan, and by National Science Foundation Grant BMS 74-17453 awarded to the author.     

Aspect cytologique et localisation intranucléaire de l'hétérochromatine constitutive des chromosomes C9 chez l'homme

Using a specific technique which stains the secondary constriction of number 9 chromosomes in man, we observed that this segment frequently appears to be composed of multiple small units packed together in metaphase as well as in interphase. During prophase of the first meiotic division in man, this segment looks like a diffuse structure, suggesting division and multiplication of these units. On the other hand, the C9 bodies observed in interphase with this cytological procedure are frequently associated with the nucleolus. This heterochromatin is less compact than previously shown and may represent repetitive DNA with a specific role.

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Travail subventionné par une bourse nationale du Canada pour la Santé, projet no. 604-7-779.     

Effect of LSD on mitotic and meiotic plant chromosomes

LSD was found to induce chromosomal aberrations in root tip cells of Allium cepa, Hordeum vulgare and Secale cereale. Aberrations occurred in the form of chromatid and isochromatid breaks with most of these breaks failing to rejoin. The distribution of chromosome breaks was not uniform over the length of chromosomes, and a majority of the breaks were localized at the centromeric regions. For a given dose of LSD (30 g/ml), onion appeared to be more susceptible than barley or rye. The diploid and tetraploid rye used in the study showed no appreciable difference in sensitivity to LSD treatment. — A preliminary study on meiotic chromosomes in LSD-treated diploid rye revealed the presence of univalents, chromosome breaks and fragments, suggesting that LSD can induce meiotic abnormalities in plant material.Contribution from the Department of Agronomy, University of Kentucky. The investigation reported in this paper (73-3-75) is in connection with a project of the Kentucky Agricultural Experiment Station and is published with the approval of the Director.     

High resolution studies on the pattern of induced exchanges in the human karyotype

The pattern of breakage and exchange induced by X-irradiation of human lymphocytes at G₁ has been analysed in PHA transformed cultures at X₁ metaphase in cells treated with trypsin. All the events observed occurred in interband segments. Moreover, as far as the autosomes were concerned, these events appear to be at random in relation to trypsin interband length but give some indication of non-randomness when total chromosome length is considered. The X and Y chromosomes, on the other hand, show far fewer breaks than would be expected whichever criterion is adopted, and in particular appear to be isolated from the autosomes with respect to the occurrence of exchange events. — The analysis of specific break points in relation to trypsin banding sequences, makes it clear that conclusions regarding chromosome rearrangements based solely on conventional preparations may be misleading.