Effects of the Ordering of Natural Selection and Population Regulation Mechanisms on Wright-Fisher Models

G3 : Genes - Genomes - Genetics
Zhangyi HeFeng Yu

Abstract

We explore the effect of different mechanisms of natural selection on the evolution of populations for one- and two-locus systems. We compare the effect of viability and fecundity selection in the context of the Wright-Fisher model with selection under the assumption of multiplicative fitness. We show that these two modes of natural selection correspond to different orderings of the processes of population regulation and natural selection in the Wright-Fisher model. We find that under the Wright-Fisher model these two different orderings can affect the distribution of trajectories of haplotype frequencies evolving with genetic recombination. However, the difference in the distribution of trajectories is only appreciable when the population is in significant linkage disequilibrium. We find that as linkage disequilibrium decays the trajectories for the two different models rapidly become indistinguishable. We discuss the significance of these findings in terms of biological examples of viability and fecundity selection, and speculate that the effect may be significant when factors such as gene migration maintain a degree of linkage disequilibrium.

References

Mar 1, 1972·Theoretical Population Biology·W J Ewens
Jun 12, 1999·American Journal of Human Genetics·J K Pritchard, N A Rosenberg
Oct 27, 1999·Proceedings of the National Academy of Sciences of the United States of America·S R Palumbi
Feb 22, 2005·International Journal for Parasitology·Franck PrugnolleFrançois Balloux
Mar 15, 1955·Proceedings of the National Academy of Sciences of the United States of America·M Kimura

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