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The Number of Evolutionary Trees
Abstract
Felsenstein, J. (Department of Genetics, University of Washington, Seattle, Washington 98195) 1978. The number of evolutionary trees. Syst. Zool. 27:27–33.—A simple method of counting the number of possible evolutionary trees is presented. The trees are assumed to be rooted, with labelled tips but unlabelled root and unlabelled interior nodes. The method allows multifurcations as well as bifurcations. It makes use of a simple recurrence relation for T(n,m), the number of trees with n labelled tips and m unlabelled interior nodes. A table of the total number of trees is presented up to n = 22. There are 282,137,824 different trees having 10 tip species, and over 8.87 × 1023 different trees having 20 tip species. The method is extended to count trees some of whose interior nodes may be labelled. The principal uses of these numbers will be to double-check algorithms and notation systems, and to frighten taxonomists.
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Citations
Cited by
Evolutionary trees from DNA sequences: A maximum likelihood approach.
Felsenstein, J. (1981) · Journal of Molecular Evolution · doi:10.1007/bf01734359 · Cited by 14,571
Self-citationPhylogeny Estimation and Hypothesis Testing Using Maximum Likelihood
Huelsenbeck, J. P., & Crandall, K. A. (1997) · Annual Review of Ecology and Systematics · doi:10.1146/annurev.ecolsys.28.1.437 · Cited by 1,018
Bayesian Selection of Continuous-Time Markov Chain Evolutionary Models
Suchard, M. A., Weiss, R. E., & Sinsheimer, J. S. (2001) · Molecular Biology and Evolution · doi:10.1093/oxfordjournals.molbev.a003872 · Cited by 791
Statistical tests of models of DNA substitution
Goldman, N. (1993) · Journal of Molecular Evolution · doi:10.1007/bf00166252 · Cited by 736
LIVEZEY, B. C., & ZUSI, R. L. (2007) · Zoological Journal of the Linnean Society · doi:10.1111/j.1096-3642.2006.00293.x · Cited by 574
Metadata
- Authors
- Felsenstein, J.
- Venue
- Systematic Zoology
- Publisher
- Oxford University Press (OUP)
- Published
- 1978-03
- Volume
- 27
- Issue
- 1
- Pages
- 27
- ISSN
- 0039-7989 (ISSN-L)
- OpenAlex
- W2043887813
- Cited by
- 540
- References
- 0
- FWCI
- 2.33
- Type
- journal article
- Language
- en
- Open access
- closed
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