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The geometry and genetics of hybridization

View ORCID ProfileHilde Schneemann, View ORCID ProfileBianca De Sanctis, Denis Roze, Nicolas Bierne, John J. Welch
doi: https://doi.org/10.1101/862235
Hilde Schneemann
Department of Genetics, University of Cambridge, Downing Street, Cambridge, UKUniversité Montpellier, Institut des Sciences de l’Évolution, UMR 5554, Montpellier Cedex 05, France
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  • ORCID record for Hilde Schneemann
  • For correspondence: hilde.schneemann@evobio.eu
Bianca De Sanctis
Department of Genetics, University of Cambridge, Downing Street, Cambridge, UK
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Denis Roze
CNRS, UMI 3614, Evolutionary Biology and Ecology of Algae, Roscoff, FranceSorbonne Université, Roscoff, France
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Nicolas Bierne
ISEM Université Montpellier, CNRS, EPHE, IRD, Montpellier, France
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John J. Welch
Department of Genetics, University of Cambridge, Downing Street, Cambridge, UK
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Abstract

We develop an analytical framework for predicting the fitness of hybrid genotypes, based on Fisher’s geometric model. We first show that all of the model parameters have a simple geometrical and biological interpretation. Hybrid fitness decomposes into intrinsic effects of hybridity and heterozygosity, and extrinsic measures of the (local) adaptedness of the parental lines; and all of these correspond to distances in a phenotypic space. We also show how these quantities change over the course of divergence, with convergence to a characteristic pattern of intrinsic isolation. Using individual-based simulations, we then show that the predictions apply to a wide range of population genetic regimes, and divergence conditions, including allopatry and parapatry, local adaptation and drift. We next connect our results to the quantitative genetics of line crosses in variable or patchy environments. This relates the geometrical distances to quantities that can be estimated from cross data, and provides a simple interpretation of the “composite effects” in the quantitative genetics partition. Finally, we develop extensions to the model, involving selectively-induced disequilibria, and variable phenotypic dominance. The geometry of fitness landscapes provides a unifying framework for understanding speciation, and wider patterns of hybrid fitness.

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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 December 02, 2019.
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The geometry and genetics of hybridization
Hilde Schneemann, Bianca De Sanctis, Denis Roze, Nicolas Bierne, John J. Welch
bioRxiv 862235; doi: https://doi.org/10.1101/862235
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The geometry and genetics of hybridization
Hilde Schneemann, Bianca De Sanctis, Denis Roze, Nicolas Bierne, John J. Welch
bioRxiv 862235; doi: https://doi.org/10.1101/862235

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