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Evolutionary Rate Change and the Transformation from Additive to Ultrametric: Modal Similarity of Orthologs in Fish and Flower Phylogenomics

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Bioinformatics and Phylogenetics

Part of the book series: Computational Biology ((COBO,volume 29))

Abstract

Branch lengths in a phylogeny may be in units of elapsed time, so that the nodes have dates associated with them, or in units of evolutionary change, such as the number of mutations that have accrued between the two endpoints of a branch. Methods to account for the mutational change in terms of an additive tree are generally incompatible with the ultrametric requirement of time-based tree representations because of changes in mutation rate. There are some principled ways of converting additive trees to ultrametric form, and these suggest which branches have seen increased or decreased rates. We spell these methods out and apply them to the ray-finned fishes and the plant families Solanaceae and Malvaceae. The methods based on nonparametric rate smoothing prove to be more revealing than the Farris transform methods.

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Acknowledgements

This work was supported in part by a Discovery grant from the Natural Sciences and Engineering Research Council of Canada. DS holds the Canada Research Chair in Mathematical Genomics.

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    Daniella Santos Muñoz, Eric Lam & David Sankoff

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  1. Daniella Santos Muñoz
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Santos Muñoz, D., Lam, E., Sankoff, D. (2019). Evolutionary Rate Change and the Transformation from Additive to Ultrametric: Modal Similarity of Orthologs in Fish and Flower Phylogenomics. In: Warnow, T. (eds) Bioinformatics and Phylogenetics. Computational Biology, vol 29. Springer, Cham. https://doi.org/10.1007/978-3-030-10837-3_8

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