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Journal article

Swapping Birth and Death: Symmetries and Transformations in Phylodynamic Models.

  • Stadler T Department for Biosystems Science and Engineering, ETH Zürich, Basel 4058, Switzerland.
  • Steel M Biomathematics Research Centre, University of Canterbury, Christchurch 4800, New Zealand.
  • 2019-05-29
Published in:
  • Systematic biology. - 2019
Algebraic symmetries
Bayesian inference
birth–death models
maximum likelihood
phylodynamics
phylogenetics
speciation–extinction models
Classification
Models, Biological
English Stochastic birth-death models provide the foundation for studying and simulating evolutionary trees in phylodynamics. A curious feature of such models is that they exhibit fundamental symmetries when the birth and death rates are interchanged. In this article, we first provide intuitive reasons for these known transformational symmetries. We then show that these transformational symmetries (encoded in algebraic identities) are preserved even when individuals at the present are sampled with some probability. However, these extended symmetries require the death rate parameter to sometimes take a negative value. In the last part of this article, we describe the relevance of these transformations and their application to computational phylodynamics, particularly to maximum likelihood and Bayesian inference methods, as well as to model selection.
Language
  • English
Open access status
hybrid
Identifiers
Persistent URL
https://sonar.rero.ch/global/documents/15541
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