bioRxiv preprint doi: https://doi.org/10.1101/027599; this version posted September 25, 2015. The copyright holder for this preprint (which was not certified by peer review) is the author/funder. All rights reserved. No reuse allowed without permission. Estimating diversification rates from the fossil record Gilles Didier1, Marine Fau2 and Michel Laurin2
[email protected], Aix-Marseille Universit´e,CNRS, Centrale Marseille, I2M, UMR 7373, 13453 Marseille, France
[email protected],
[email protected], CR2P, Sorbonne Universit´es,CNRS/MNHN/UPMC, Mus´eumNational d'Histoire Naturelle, 75005 Paris, France Abstract Diversification rates are estimated from phylogenies, typically without fossils, except in paleonto- logical studies. By nature, rate estimations depend heavily on the time data provided in phylogenies, which are divergence times and (when used) fossil ages. Among these temporal data, fossil ages are by far the most precisely known (divergence times are inferences calibrated with fossils). We propose a method to compute the likelihood of a phylogenetic tree with fossils in which the only known time information is the fossil ages. Testing our approach on simulated data shows that the maximum likelihood rate estimates from the phylogenetic tree shape and the fossil dates are almost as accurate as the ones obtained by taking into account all the data, including the divergence times. Moreover they are substantially more accurate than the estimates obtained only from the exact divergence times (without taking into account the fossil record). Keywords: speciation rate, extinction rate, fossil ages, maximum likelihood estimation 1 Introduction The history of biodiversity, including evolutionary radiations and mass extinction events, is a central topic of macroevolutionary studies (see for instance Santini et al., 2013; Sidor et al., 2013; Benton et al., 2014, and other works from these authors).