Abstract

Using calibrations to obtain absolute divergence times is standard practice in molecular clock studies. While the use of primary (e.g., fossil) calibrations is preferred, this approach can be limiting because of their rarity in fast-growing datasets. Thus, alternatives need to be explored, such as the use of secondary (molecularly-derived) calibrations that can anchor a timetree in a larger number of nodes. However, the use of secondary calibrations has been discouraged in the past because of concerns in the error rates of the node estimates they produce with an apparent high precision. Here, we quantify the amount of errors in estimates produced by the use of secondary calibrations relative to true times and primary calibrations placed on distant nodes. We find that, overall, the inaccuracies in estimates based on secondary calibrations are predictable and mirror errors associated with primary calibrations and their confidence intervals. Additionally, we find comparable error rates in estimated times from secondary calibrations and distant primary calibrations, although the precision of estimates derived from distant primary calibrations is roughly twice as good as that of estimates derived from secondary calibrations. This suggests that increasing dataset size to include primary calibrations may produce divergence times that are about as accurate as those from secondary calibrations, albeit with a higher precision. Overall, our results suggest that secondary calibrations may be useful to explore the parameter space of plausible evolutionary scenarios when compared to time estimates obtained with distant primary calibrations.

Highlights

  • While many studies have used this approach as a last-resort method, a systematic evaluation of their performance might open up the use of secondary calibration to more phylogenies, expanding the applicability of molecular clocks to complex datasets

  • We quantified the accuracy of estimated times (ET) vs. simulated true times (TT) and the properties of the confidence intervals (CIs) in both trees relative to the type of calibration used

  • Each analysis was repeated for a series of scenarios with variable levels of uncertainty in the primary calibrations to investigate how estimates derived from secondary calibrations may be affected

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Summary

Introduction

The use of calibrations to estimate absolute times in a phylogeny is a source of controversy for many reasons; among these are that (i) few are available from independent sources (e.g., fossil record), (ii) their phylogenetic placement can be incorrect, especially in cases of uncertain fossil identification or phylogenetic position, and that (iii) calibration constraints (and the internal distributions between them) are heavily debated, new methods to estimate probability densities of node ages are being developed (Marjanovicand Laurin, 2007, 2008; Ho and Phillips, 2009; Inoue et al, 2010; Sauquet et al, 2012; Sterli et al, 2013; Heath et al, 2014; Hipsley and Müller, 2014; Warnock et al, 2015; dos Reis et al, 2016; Kumar and Hedges, 2016; Didier et al, 2017; Didier and Laurin, 2018; Bromham, 2019; Marshall, 2019). These new strategies are especially important in very large phylogenies due to the increase in the ratio of unknown to calibrated nodes and, the potential increase in error propagation of estimates for nodes that are far from a calibration point often caused by rate variation among branches (Britton, 2005; Hug and Roger, 2007; Perie and Doyle, 2012; dos Reis and Yang, 2013; Hipsley and Müller, 2014)

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