2015
DOI: 10.1093/sysbio/syv052
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A Nonstationary Markov Model Detects Directional Evolution in Hymenopteran Morphology

Abstract: Directional evolution has played an important role in shaping the morphological, ecological, and molecular diversity of life. However, standard substitution models assume stationarity of the evolutionary process over the time scale examined, thus impeding the study of directionality. Here we explore a simple, nonstationary model of evolution for discrete data, which assumes that the state frequencies at the root differ from the equilibrium frequencies of the homogeneous evolutionary process along the rest of t… Show more

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Cited by 66 publications
(78 citation statements)
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References 85 publications
(118 reference statements)
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“…It is ironic that, whereas the lack of consistency was in the past supposed to be the main argument to abandon parsimony, the development of many new models is now made with no concern whatsoever for whether the model results in statistically consistent estimations (e.g. Klopfstein et al., ; Wright et al., ; Pyron, ). And (with the exception of Yang, , p. 176) no Bayesian has expressed any concern in print with examples showing that the standard form of Bayesian analysis (i.e.…”
Section: Discussionmentioning
confidence: 99%
“…It is ironic that, whereas the lack of consistency was in the past supposed to be the main argument to abandon parsimony, the development of many new models is now made with no concern whatsoever for whether the model results in statistically consistent estimations (e.g. Klopfstein et al., ; Wright et al., ; Pyron, ). And (with the exception of Yang, , p. 176) no Bayesian has expressed any concern in print with examples showing that the standard form of Bayesian analysis (i.e.…”
Section: Discussionmentioning
confidence: 99%
“…all-rates-different) using model selection metrics (Leslie et al, 2013;Goldberg et al, 2017;Sauquet et al, 2017). However, fewer efforts have attempted to model and test the intriguing possibility of unidirectional and more generally nonstationary directional discrete trait evolution (including irreversible evolution or 'Dollo's law'; Alekseyenko et al, 2008;Goldberg & Igi c, 2008;Klopfstein et al, 2015;Leslie et al, 2015). Importantly, these questions may also take the fossil record into account (Hunt, 2012;Slater et al, 2012).…”
Section: What Are the Tempo And Mode Of Morphological Evolution In Anmentioning
confidence: 99%
“…Analyses were performed under the symmetric model. Many morphological character systems follow a directional pattern across parts of the tree of life, be it due to positive selection or biased starting conditions (Gould 1996;Klopfstein, et al 2015). To mimic increasing levels of directionality, we varied the proportion of characters in the dataset that followed a non-stationary pattern between zero and one by adjusting the state frequencies at the root.…”
Section: Morphology Model and Model Mismatchmentioning
confidence: 99%
“…Second, Lewis (2001) suggested a way to account for asymmetry in state frequencies and thus in transition rates, an improvement that only recently started to attract attention (Klopfstein and Spasojevic 2019;Wright, et al 2016). Furthermore, it is straightforward to incorporate non-stationarity and thus directional evolutionary patterns by introducing separate state frequencies at the root (Klopfstein, et al 2015). Other types of model mismatch might be more difficult to overcome, such as pronounced heterotachy (Goloboff, et al in press) or non-homogeneity of the evolutionary process (Jayaswal, et al 2011;Jermiin, et al 2008).…”
Section: Introductionmentioning
confidence: 99%