A branching process with coalescence to model random phylogenetic networks
Fuente:
arXiv
Salvato in:
| Autori principali: | , |
|---|---|
| Natura: | Preprint |
| Pubblicazione: |
2022
|
| Soggetti: | |
| Accesso online: | |
| Tags: |
Aggiungi Tag
Nessun Tag, puoi essere il primo ad aggiungerne!!
|
| _version_ | 1866910342274088960 |
|---|---|
| author | Bienvenu, François Duchamps, Jean-Jil |
| author_facet | Bienvenu, François Duchamps, Jean-Jil |
| contents | We introduce a biologically natural, mathematically tractable model of random phylogenetic network to describe evolution in the presence of hybridization. One of the features of this model is that the hybridization rate of the lineages correlates negatively with their phylogenetic distance. We give formulas / characterizations for quantities of biological interest that make them straightforward to compute in practice. We show that the appropriately rescaled network, seen as a metric space, converges to the Brownian continuum random tree, and that the uniformly rooted network has a local weak limit, which we describe explicitly. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2211_02407 |
| institution | arXiv |
| publishDate | 2022 |
| record_format | arxiv |
| spellingShingle | A branching process with coalescence to model random phylogenetic networks Bienvenu, François Duchamps, Jean-Jil Probability Populations and Evolution 60J80, 05C80 (Primary) 60F05, 92B10, 60J27 (Secondary) We introduce a biologically natural, mathematically tractable model of random phylogenetic network to describe evolution in the presence of hybridization. One of the features of this model is that the hybridization rate of the lineages correlates negatively with their phylogenetic distance. We give formulas / characterizations for quantities of biological interest that make them straightforward to compute in practice. We show that the appropriately rescaled network, seen as a metric space, converges to the Brownian continuum random tree, and that the uniformly rooted network has a local weak limit, which we describe explicitly. |
| title | A branching process with coalescence to model random phylogenetic networks |
| topic | Probability Populations and Evolution 60J80, 05C80 (Primary) 60F05, 92B10, 60J27 (Secondary) |
| url | https://arxiv.org/abs/2211.02407 |