The expected length of pendant and interior edges of a Yule tree

Applied Mathematics Letters

Volumn 23, Issue 11, 2010, Pages 1315-1319

  Steel, Mike ^a   Mooers, Arne ^b  

^a UNIVERSITY OF CANTERBURY   (New Zealand)

^b SIMON FRASER UNIVERSITY   (Canada)

Author keywords

Differential equation; Pure birth process; Tree; Yule model

Indexed keywords

EVOLUTIONARY TREE; EXPECTED LENGTH; NULL MODEL; PENDANT EDGES; PURE-BIRTH PROCESS; TREE; YULE MODEL;

DIFFERENTIAL EQUATIONS; MAXIMUM LIKELIHOOD;

POPULATION STATISTICS;

EID: 77955928122     PISSN: 08939659     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.aml.2010.06.021     Document Type: Article

References (8)

1. G.U. Yule A mathematical theory of evolution: based on the conclusions of Dr. J.C. Willis Philos. Trans. R. Soc. Lond. Ser. B 213 1924 21 87
2. T. Gernhard, K. Hartmann, and M. Steel Stochastic properties of generalised Yule models, with biodiversity applications J. Math. Biol. 57 2008 713 735
3. S. Nee Inferring speciation rates from phylogenies Evolution 55 2001 661 668
4. Z. Yang, and B. Rannala Bayesian phylogenetic inference using DNA sequences: a Markov chain Monte Carlo method Mol. Biol. Evol. 14 7 1997 717 724
5. C.O. Webb, and M.J. Donoghue Phylomatic: tree assembly for applied phylogenetics Mol. Ecol. Notes 5 2005 181 183
6. T. Gernhard The conditioned reconstructed process J. Theoret. Biol. 253 2008 769 778
7. O.G. Pybus, and P.H. Harvey Testing macro-evolutionary models using incomplete molecular phylogenies Proc. R. Soc. Lond. Ser. B 267 2000 2267 2272
8. A.O. Mooers, L.J. Harmon, M.G.B. Blum, D.H.J. Wong, and S.B. Heard Some models of phylogenetic tree shape O. Gascuel, M. Steel, Reconstructing Evolution: New Mathematical and Computational Advances 2007 Oxford University Press Oxford 149 170