Swapping Birth and Death: Symmetries and Transformations in Phylodynamic Models
| Autor: | Joseph Felsenstein, Tanja Stadler, Mike Steel |
|---|---|
| Jazyk: | angličtina |
| Rok vydání: | 2019 |
| Předmět: |
0106 biological sciences
0301 basic medicine Theoretical computer science Computer science Bayesian inference speciation–extinction models Biology Models Biological 010603 evolutionary biology 01 natural sciences Points of View 03 medical and health sciences birth–death models Genetics Feature (machine learning) Quantitative Biology::Populations and Evolution Algebraic number maximum likelihood Ecology Evolution Behavior and Systematics 030304 developmental biology 0303 health sciences Model selection Classification phylodynamics Birth–death process phylogenetics 030104 developmental biology Viral phylodynamics Homogeneous space Algebraic symmetries Value (mathematics) |
| Zdroj: | Systematic Biology, 68 (5) Systematic Biology |
| ISSN: | 1063-5157 1076-836X |
| DOI: | 10.3929/ethz-b-000364036 |
| Popis: | 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. Systematic Biology, 68 (5) ISSN:1063-5157 ISSN:1076-836X |
| Databáze: | OpenAIRE |
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