Distribution of branch lengths and phylogenetic diversity under homogeneous speciation models

DOI10.1016/j.jtbi.2011.11.019zbMath1336.92056arXiv1107.5926OpenAlexW2131157335WikidataQ67213658 ScholiaQ67213658MaRDI QIDQ285204

Tanja Stadler, Mike A. Steel

Publication date: 19 May 2016

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

Full work available at URL: https://arxiv.org/abs/1107.5926

zbMATH Keywords

Yule modelbirth-death processphylogenetic treebranch length

Mathematics Subject Classification ID

Problems related to evolution (92D15) Applications of branching processes (60J85) Population dynamics (general) (92D25)

Related Items (15)

A consistent estimator of the evolutionary rate ⋮ Interspecies correlation for neutrally evolving traits ⋮ Phylogenetic effective sample size ⋮ A characterisation of the reconstructed birth-death process through time rescaling ⋮ The expected loss of feature diversity (versus phylogenetic diversity) following rapid extinction at the present ⋮ Probability distribution of tree age for the simple birth-death process, with applications to distributions of number of ancestral lineages and divergence times for pairs of taxa in a Yule tree ⋮ Exact and approximate limit behaviour of the Yule tree's cophenetic index ⋮ Random walk Green kernels in the neutral Moran model conditioned on survivors at a random time to origin ⋮ Evolutionary isolation and phylogenetic diversity loss under random extinction events ⋮ Quantifying the effects of anagenetic and cladogenetic evolution ⋮ A phylogenetic comparative method for studying multivariate adaptation ⋮ Some properties of the conditioned reconstructed process with Bernoulli sampling ⋮ Phylogenetic confidence intervals for the optimal trait value ⋮ Majority rule has transition ratio 4 on Yule trees under a 2-state symmetric model ⋮ Bayesian-weighted triplet and quartet methods for species tree inference

Cites Work

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• New analytic results for speciation times in neutral models
• The expected length of pendant and interior edges of a Yule tree
• Lineages-through-time plots of neutral models for speciation
• Stochastic models and descriptive statistics for phylogenetic trees, from Yule to today.
• On incomplete sampling under birth-death models and connections to the sampling-based coalescent
• Sampling-through-time in birth-death trees
• Distribution of phylogenetic diversity under random extinction
• The conditioned reconstructed process
• Einführung in die Wahrscheinlichkeitstheorie und Statistik
• A critical branching process model for biodiversity
• Minimal clade size and external branch length under the neutral coalescent

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