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Ranked tree shapes, non-random extinctions and the loss of phylogenetic diversity

Odile Maliet, Fanny Gascuel, Amaury Lambert
doi: https://doi.org/10.1101/224295
Odile Maliet
1Center for Interdisciplinary Research in Biology (CIRB), College de France, CNRS, INSERM, PSL Research University, Paris, France;
2Institut de Biologie de l’École Normale Supérieure (IBENS), EÉcole Normale Supérieure, CNRS, INSERM, PSL Research University, Paris, France;
3Sorbonne Universités, UPMC Univ Paris 06, ED 227, Paris, France;
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  • For correspondence: odile.maliet@orange.fr
Fanny Gascuel
1Center for Interdisciplinary Research in Biology (CIRB), College de France, CNRS, INSERM, PSL Research University, Paris, France;
2Institut de Biologie de l’École Normale Supérieure (IBENS), EÉcole Normale Supérieure, CNRS, INSERM, PSL Research University, Paris, France;
3Sorbonne Universités, UPMC Univ Paris 06, ED 227, Paris, France;
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Amaury Lambert
1Center for Interdisciplinary Research in Biology (CIRB), College de France, CNRS, INSERM, PSL Research University, Paris, France;
4Sorbonne Universités, UPMC Univ Paris 06, CNRS, Laboratoire Probabilités et Modéles Aléatoires, Paris, France;
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Abstract

Phylogenetic diversity (PD) is a measure of the evolutionary legacy of a group of species, which can be used to define conservation priorities. It has been shown that an important loss of species diversity can sometimes lead to a much less important loss of PD, depending on the topology of the species tree and on the distribution of its branch lengths. However, the rate of decrease of PD strongly depends on the relative depths of the nodes in the tree and on the order in which species become extinct. We introduce a new, sampling-consistent, three-parameter model generating random trees with covarying topology, clade relative depths and clade relative extinction risks. This model can be seen as an extension to Aldous’ one parameter splitting model β, which controls for tree balance) with two additional parameters: a new parameter α quantifying the correlation between the richness of a clade and its relative depth, and a parameter η quantifying the correlation between the richness of a clade and its frequency (relative abundance or range), taken herein as a proxy for its overall extinction risk. We show on simulated phylogenies that loss of PD depends on the combined effect of all three parameters, β, α and η. In particular, PD may decrease as fast as species diversity when high extinction risks are clustered within small, old clades, corresponding to a parameter range that we term the ‘thin ice zone’ (β < –1 or α < 0; η > 1). Besides, when high extinction risks are clustered within large clades, the loss of PD can be higher in trees that are more balanced (β > 0), in contrast to the predictions of earlier studies based on simpler models. We propose a Monte-Carlo algorithm, tested on simulated data, to infer all three parameters. Applying it to a real dataset comprising 120 bird clades (class Aves) with known range sizes, we show that parameter estimates precisely fall close to close to a ‘thin ice zone’: the combination of their ranking tree shape and non-random extinctions risks makes them prone to a sudden collapse of PD.

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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-NC-ND 4.0 International license.
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Posted November 23, 2017.
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Ranked tree shapes, non-random extinctions and the loss of phylogenetic diversity
Odile Maliet, Fanny Gascuel, Amaury Lambert
bioRxiv 224295; doi: https://doi.org/10.1101/224295
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Ranked tree shapes, non-random extinctions and the loss of phylogenetic diversity
Odile Maliet, Fanny Gascuel, Amaury Lambert
bioRxiv 224295; doi: https://doi.org/10.1101/224295

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