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A Compound Poisson Process for Relaxing the Molecular Clock

Huelsenbeck, John P, Larget, Bret, Swofford, David·2000·Genetics

Abstract

The molecular clock hypothesis remains an important conceptual and analytical tool in evolutionary biology despite the repeated observation that the clock hypothesis does not perfectly explain observed DNA sequence variation. We introduce a parametric model that relaxes the molecular clock by allowing rates to vary across lineages according to a compound Poisson process. Events of substitution rate change are placed onto a phylogenetic tree according to a Poisson process. When an event of substitution rate change occurs, the current rate of substitution is modified by a gamma-distributed random variable. Parameters of the model can be estimated using Bayesian inference. We use Markov chain Monte Carlo integration to evaluate the posterior probability distribution because the posterior probability involves high dimensional integrals and summations. Specifically, we use the Metropolis-Hastings-Green algorithm with 11 different move types to evaluate the posterior distribution. We demonstrate the method by analyzing a complete mtDNA sequence data set from 23 mammals. The model presented here has several potential advantages over other models that have been proposed to relax the clock because it is parametric and does not assume that rates change only at speciation events. This model should prove useful for estimating divergence times when substitution rates vary across lineages.

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Research works printed but not linked: 16

  1. Arnason, 1997, Phylogenetic analyses of mitochondrial DNA suggest a sister group relationship between Xenartha (Edentata) and Ferungulates, Mol. Biol. Evol., 14, 762, 10.1093/oxfordjournals.molbev.a025816 · DOI
  2. Geyer, 1999, Likelihood inference for spatial point processes, 79
  3. Gillespie, 1991, The Causes of Molecular Evolution
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  5. Green, 1995, Reversible jump Markov chain Monte Carlo computation and Bayesian model determination, Biometrika, 82, 711, 10.1093/biomet/82.4.711 · DOI · Paper page
  6. Hasegawa, 1984, A new molecular clock of mitochondrial DNA and the evolution of Hominoids, Proc. Japan Acad. Ser. B, 60, 95, 10.2183/pjab.60.95 · DOI
  7. Huelsenbeck, 1997, Statistical test of host-parasite cospeciation, Evolution, 51, 410, 10.1111/j.1558-5646.1997.tb02428.x · DOI
  8. Langley, 1973, The constancy of evolution: a statistical analysis of a and b haemoglobins, cytochrome c, and fibrinopeptide A, 246
  9. Langley, 1974, An estimation of the constancy of the rate of molecular evolution, J. Mol. Evol., 3, 161, 10.1007/BF01797451 · DOI · Paper page
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  11. Swofford, 1998, Phylogenetic Analysis Using Parsimony (* and other Methods)
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  16. Zuckerkandl, 1962, Molecular disease, evolution, and genetic heterogeneity, 189

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Metadata

Authors
Huelsenbeck, J. P., Larget, B., & Swofford, D.
Venue
Genetics
Published
2000-04-01
Volume
154
Issue
4
Pages
1879-1892
ISSN
  • 0016-6731 (ISSN-L)
  • 1943-2631
OpenAlex
W1944637642
Cited by
351
References
15
FWCI
8.45
Type
journal article
Language
en
Open access
closed

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Huelsenbeck, J. P., Larget, B., & Swofford, D. (2000). A Compound Poisson Process for Relaxing the Molecular Clock. Genetics. https://doi.org/10.1093/genetics/154.4.1879

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