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Biomedical subjects

S Karlin

Publications and source records attributed to S Karlin.

At least 181 records · Page 10Linked to original sources
PubMed1974

Some population genetic models combining artificial and natural selection pressures.

The evolutionary behavior of a diploid population characterized by a trait determined at one or two major loci subject to the combined effects of artificial and natural selection pressures is investigated. A number of different genotypic phenotypic associations are set forth, including additive allelic effects and additive loci effects with a variety of culling programs. Threshold selection schemes as well as culling favoring intermediate phenotypic values are considered. For these formulations results are reported concerning the dynamic progress of the population, a delineation of the numbers and properties of the stable equilibria outcomes, and a discussion of their qualitative and quantitative dependence on the two kinds of selection forces. The level of culling can be used as a control through which natural selection parameters can be estimated.

Alleles↗
PubMed1972

The evolutionary development of modifier genes.

The main findings of a study of the evolution of modifier gene frequencies in models of deterministic population genetics are presented. A wide variety of random mating systems are subject to selection with modifiers operating, in different cases, on mutation rates, dominance, migration between subpopulations, and linkage between other loci. In all these instances the modifier frequencies evolve in such a way as to maximize the mean fitness of the population at equilibrium. This is remarkable since, except for the dominance modifier, the modifier genes are selectively neutral in the sense that they do not affect the fitness of their individual carriers. In nonrandom mating systems the mean fitness concept is not well defined, and there does not appear to be such a simple principle governing the evolution of modifier frequencies. In assortative mating systems modifiers favoring reduced assortment propensities tend to increase. In contrast, for selfing-outcrossing systems modifiers favoring increased selfing tend to increase.

Alleles↗
PubMed1969

Linkage and selection: new equilibrium properties of the two-locus symmetric viability model.

In the two-locus symmetric viability model with recombination, conditions for the existence and stability of a new class of polymorphic equilibria are given. These "unsymmetric" equilibria, which exist for relatively loose linkage, can be explicitly obtained, in contrast to the previously known symmetric equilibria which are generally given by the solutions of a cubic equation. For sufficiently tight linkage, there is always at least one stable symmetric equilibrium. Seven is the precise maximum for the number of interior equilibria. The qualitative consequences of these results are briefly examined. In particular it is pointed out that since for some linkage values no stable polymorphic equilibria exist, there is no "overdominance theorem" comparable to the single-locus case.

Genotype↗