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An Evolutionary Reduction Principle for Mutation Rates at Multiple Loci

Summary: An Evolutionary Reduction Principle for
Mutation Rates at Multiple Loci
Lee Altenberg
August 17, 2010
A model of mutation rate evolution for multiple loci under arbitrary
selection is analyzed. Results are obtained using techniques from Karlin
(1982) that overcome the weak selection constraints needed for tractability
in prior studies of multilocus event models.
A multivariate form of the reduction principle is found: reduction
results at individual loci combine topologically to produce a surface of
mutation rate alterations that are neutral for a new modifier allele. New
mutation rates survive if and only if they fall below this surface -- a
generalization of the hyperplane found by Zhivotovsky et al. (1994) for a
multilocus recombination modifier. Increases in mutation rates at some
loci may evolve if compensated for by decreases at other loci. The strength
of selection on the modifier scales in proportion to the number of germline
cell divisions, and increases with the number of loci affected. Loci that do
not make a difference to marginal fitnesses at equilibrium are not subject


Source: Altenberg, Lee - Department of Information and Computer Science, University of Hawai'i at Manoa


Collections: Computer Technologies and Information Sciences