A distance-based model for convergent evolution

Holland, Barbara, Huber, Katharina T. and Moulton, Vincent ORCID: https://orcid.org/0000-0001-9371-6435 (2024) A distance-based model for convergent evolution. Journal of Mathematical Biology, 88. ISSN 0303-6812

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Convergent evolution is an important process in which independent species evolve similar features usually over a long period of time. It occurs with many different species across the tree of life, and is often caused by the fact that species have to adapt to similar environmental niches. In this paper, we introduce and study properties of a distance-based model for convergent evolution in which we assume that two ancestral species converge for a certain period of time within a collection of species that have otherwise evolved according to an evolutionary clock. Under these assumptions it follows that we obtain a distance on the collection that is a modification of an ultrametric distance arising from an equidistant phylogenetic tree. As well as characterising when this modified distance is a tree metric, we give conditions in terms of the model’s parameters for when it is still possible to recover the underlying tree and also its height, even in case the modified distance is not a tree metric.

Item Type: Article
Uncontrolled Keywords: convergent evolution,equidistant tree,tree metric,triplet respecting metric,ultrametric,modelling and simulation,agricultural and biological sciences (miscellaneous),applied mathematics ,/dk/atira/pure/subjectarea/asjc/2600/2611
Faculty \ School: Faculty of Science > School of Computing Sciences
UEA Research Groups: Faculty of Science > Research Groups > Computational Biology
Faculty of Science > Research Groups > Norwich Epidemiology Centre
Faculty of Medicine and Health Sciences > Research Groups > Norwich Epidemiology Centre
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Depositing User: LivePure Connector
Date Deposited: 12 Dec 2023 01:21
Last Modified: 30 Jan 2024 03:47
URI: https://ueaeprints.uea.ac.uk/id/eprint/93961
DOI: 10.1007/s00285-023-02038-9


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