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Recombination, variance in genetic relatedness, and selection against introgressed DNA

View ORCID ProfileCarl Veller, View ORCID ProfileNathaniel B. Edelman, View ORCID ProfilePavitra Muralidhar, View ORCID ProfileMartin A. Nowak
doi: https://doi.org/10.1101/846147
Carl Veller
1Department of Organismic and Evolutionary Biology, Harvard University, Massachusetts, USA
2Program for Evolutionary Dynamics, Harvard University, Massachusetts, USA
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  • For correspondence: carl.veller@gmail.com
Nathaniel B. Edelman
1Department of Organismic and Evolutionary Biology, Harvard University, Massachusetts, USA
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Pavitra Muralidhar
1Department of Organismic and Evolutionary Biology, Harvard University, Massachusetts, USA
2Program for Evolutionary Dynamics, Harvard University, Massachusetts, USA
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Martin A. Nowak
1Department of Organismic and Evolutionary Biology, Harvard University, Massachusetts, USA
2Program for Evolutionary Dynamics, Harvard University, Massachusetts, USA
3Department of Mathematics, Harvard University, Massachusetts, USA
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Abstract

The genomic proportion that two relatives share identically by descent—their genetic relatedness—can vary depending on the patterns of recombination and segregation in their pedigree. Here, we calculate the precise connection between genome-wide genetic shuffling and variance in genetic relatedness. For the relationships of grandparent-grandoffspring and siblings, the variance in genetic relatedness is a simple decreasing function of Embedded Image, the average proportion of locus pairs that recombine in gametogenesis. These formulations explain several recent observations about variance in genetic relatedness. They further allow us to calculate the neutral variance of ancestry among F2s in a hybrid cross, enabling F2-based tests for various kinds of selection, such as Dobzhansky-Muller incompatibilities and hybrid vigor. Our calculations also allow us to characterize how recombination affects the rate at which selection eliminates deleterious introgressed DNA after hybridization—by modulating the variance of introgressed ancestry across individuals. Species with low aggregate recombination rates, like Drosophila, purge introgressed DNA more rapidly and more completely than species with high aggregate recombination rates, like humans. These conclusions also hold for different genomic regions. Within the genomes of several species, positive correlations have been observed between local recombination rate and introgressed ancestry. Our results imply that these correlations can be driven more by recombination’s effect on the purging of deleterious introgressed alleles than its effect in unlinking neutral introgressed alleles from deleterious alleles. In general, our results demonstrate that the aggregate recombination process—as quantified by Embedded Image and analogs—acts as a variable barrier to gene flow between species.

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The copyright holder for this preprint is the author/funder, who has granted bioRxiv a license to display the preprint in perpetuity. It is made available under a CC-BY 4.0 International license.
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Posted November 18, 2019.
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Recombination, variance in genetic relatedness, and selection against introgressed DNA
Carl Veller, Nathaniel B. Edelman, Pavitra Muralidhar, Martin A. Nowak
bioRxiv 846147; doi: https://doi.org/10.1101/846147
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Recombination, variance in genetic relatedness, and selection against introgressed DNA
Carl Veller, Nathaniel B. Edelman, Pavitra Muralidhar, Martin A. Nowak
bioRxiv 846147; doi: https://doi.org/10.1101/846147

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