Abstract:
: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.
journal_name
Syst Bioljournal_title
Systematic biologyauthors
Stadler T,Steel Mdoi
10.1093/sysbio/syz039subject
Has Abstractpub_date
2019-09-01 00:00:00pages
852-858issue
5eissn
1063-5157issn
1076-836Xpii
5499129journal_volume
68pub_type
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