Abstract

Fossil information is essential for estimating species divergence times, and can be integrated into Bayesian phylogenetic inference using the fossilized birth–death (FBD) process. An important aspect of palaeontological data is the uncertainty surrounding specimen ages, which can be handled in different ways during inference. The most common approach is to fix fossil ages to a point estimate within the known age interval. Alternatively, age uncertainty can be incorporated by using priors, and fossil ages are then directly sampled as part of the inference. This study presents a comparison of alternative approaches for handling fossil age uncertainty in analysis using the FBD process. Based on simulations, we find that fixing fossil ages to the midpoint or a random point drawn from within the stratigraphic age range leads to biases in divergence time estimates, while sampling fossil ages leads to estimates that are similar to inferences that employ the correct ages of fossils. Second, we show a comparison using an empirical dataset of extant and fossil cetaceans, which confirms that different methods of handling fossil age uncertainty lead to large differences in estimated node ages. Stratigraphic age uncertainty should thus not be ignored in divergence time estimation and instead should be incorporated explicitly.

Highlights

  • The fossil record provides essential evidence for calibrating species trees to time, as molecular sequences from extant species are informative about the relative age of species but do not typically provide information about the absolute age

  • Our simulations show that fixing specimen ages can lead to erroneous estimates of divergence times, but that incorporating stratigraphic age uncertainty explicitly using a hierarchical modelling approach substantially increases the chances of recovering the correct node ages

  • 0.2 median ages ages random interval ages the popular approach of fixing fossil ages to point estimates within the known interval of uncertainty in molecular dating analysis can led to erroneous estimates of node ages

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Summary

Introduction

The fossil record provides essential evidence for calibrating species trees to time, as molecular sequences from extant species are informative about the relative age of species but do not typically provide information about the absolute age. It has been shown that divergence time estimates are extremely sensitive to the choice of fossil(s), the age assigned to fossil specimens and the distribution chosen to model uncertainty [4 –8]. Fossils are rarely composed of material that can be directly dated and their age must be established with detailed reference to the geological record Other authors have shown that modelling age uncertainty versus fixing fossil occurrence ages can lead to substantial differences in node age estimates in tipcalibrated analyses [24]. Our simulations show that fixing specimen ages can lead to erroneous estimates of divergence times, but that incorporating stratigraphic age uncertainty explicitly using a hierarchical modelling approach substantially increases the chances of recovering the correct node ages. An analysis of Cetacea (the clade containing dolphins and whales) reveals that alternative approaches to handling specimen ages have major implications for dating speciation events

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