The reconstructed tree in the lineage-based model of protracted speciation

DOI10.1007/s00285-014-0767-xzbMath1309.60083arXiv1301.5512OpenAlexW2147331690WikidataQ35116706 ScholiaQ35116706MaRDI QIDQ154193

Rampal S. Etienne, Hélène Morlon, Amaury Lambert, Hélène Morlon, Amaury Lambert, Rampal S. Etienne

Publication date: 11 March 2014

Published in: Journal of Mathematical Biology (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1301.5512

zbMATH Keywords

Lévy processphylogenyscale functionbirth-death processcoalescent point processsplitting treemultitype branching processprotracted speciationreconstructed tree

Mathematics Subject Classification ID

Processes with independent increments; Lévy processes (60G51) Problems related to evolution (92D15) Applications of branching processes (60J85) Population dynamics (general) (92D25) Ecology (92D40) Branching processes (Galton-Watson, birth-and-death, etc.) (60J80) Point processes (e.g., Poisson, Cox, Hawkes processes) (60G55)

Related Items

The species problem from the modeler's point of view ⋮ Lambert and Stadler (2013): a unifying framework for modelling evolutionary trees ⋮ Random ultrametric trees and applications ⋮ Birth-death models and coalescent point processes: the shape and probability of reconstructed phylogenies ⋮ PBD ⋮ Additional analytical support for a new method to compute the likelihood of diversification models

Cites Work

• Unnamed Item
• Birth-death models and coalescent point processes: the shape and probability of reconstructed phylogenies
• Species abundance distributions in neutral models with immigration or mutation and general lifetimes
• On incomplete sampling under birth-death models and connections to the sampling-based coalescent
• Asymptotic genealogy of a critical branching process
• The generalized time variable reconstructed birth-death process
• The contour of splitting trees is a Lévy process
• Introductory lectures on fluctuations of Lévy processes with applications.
• The allelic partition for coalescent point processes
• Splitting Trees Stopped when the First Clock Rings and Vervaat's Transformation
• A critical branching process model for biodiversity
• On the Generalized "Birth-and-Death" Process

This page was built for publication: The reconstructed tree in the lineage-based model of protracted speciation