Browsing by Author "Feldman, MW"

Now showing 1 - 5 of 5
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    Evolutionary effects of contagious and familial transmission.
    (Proceedings of the National Academy of Sciences of the United States of America, 1979-01) Uyenoyama, M; Feldman, MW; Cavalli-Sforza, LL
    Two models involving non-Mendelian transmission of a discrete valued trait through within- and across-generation contagion are proposed in an investigation of the joint evolution of phenotype and genotype. A single locus with two alleles determines susceptibility to contagion. The incorporation of within-generation contagious transmission extends the parameter ranges allowing phenotypic polymorphism and introduces a new phenotypic equilibrium configuration. The latter is characterized by a threshold in the initial value of the trait which determines whether the trait can increase. Phenotypic evolution is accelerated by within-generation contagion, but the rate of genetic evolution is retarded relative to that under uniparental transmission across generations. The second model studied allows the trait to be acquired, at genotype-dependent rates, even if the transmitting parent does not have the trait. Both the pattern of phenotypic transmission and the selection on the trait influence the course of evolution. Some important aspects of the structure of the one locus-two allele model are shown to be preserved with more alleles. At equilibrium, the leading eigenvalue of the transmission-selection matrix assumes the role of genotypic fitness.
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    On relatedness and adaptive topography in kin selection
    (Theoretical Population Biology, 1981-01-01) Uyenoyama, MK; Feldman, MW
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    Population genetic theory of kin selection: Multiple alleles at one locus.
    (Proceedings of the National Academy of Sciences of the United States of America, 1981-08) Uyenoyama, MK; Feldman, MW; Mueller, LD
    Exact population genetic models of one-locus sib-to-sib kin selection with an arbitrary number of alleles are studied. First, a natural additive scaling is established for the genotypic value associated with probabilities of performance of altruism. Two classes of polymorphic equilibria are possible, one corresponding to the usual one-locus viability equilibria and the other reflecting the kin-selection assumptions of the model. At both, the covariance between additive genotypic value and genotypic fitness vanish. Further, the sign of this covariance determines the fate of rare alleles introduced near the first class of equilibria. In addition, the covariance explains the differences between Hamilton's rule, which results from Hardy-Weinberg assumptions, and exact initial increase conditions.
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    The genetics of sex ratio distortion by cytoplasmic infection under maternal and contagious transmission: an epidemiological study.
    (Theoretical population biology, 1978-12) Uyenoyama, MK; Feldman, MW
    Nuclear and cytoplasmic determinants jointly influence the sex ratio in several organisms. A mathematical model of a maternally inherited extra-chromosomal agent that affects the fitness of its carriers and distorts the sex ratio in their broods is analyzed. The agent is transmitted through the cytoplasm from mother to daughter, or it may pass contagiously among females of the same generation. It is shown that under natural selection the deviation between the population sex ratio and Fisher's optimum value evolves to a minimum. © 1978.
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    Theories of kin and group selection: a population genetics perspective.
    (Theoretical population biology, 1980-06) Uyenoyama, M; Feldman, MW