PMID: 2501507May 1, 1989Paper

On the maximum likelihood method for estimating molecular trees: uniqueness of the likelihood point

Journal of Molecular Evolution
K Fukami, Y Tateno

Abstract

Studies are carried out on the uniqueness of the stationary point on the likelihood function for estimating molecular phylogenetic trees, yielding proof that there exists at most one stationary point, i.e., the maximum point, in the parameter range for the one parameter model of nucleotide substitution. The proof is simple yet applicable to any type of tree topology with an arbitrary number of operational taxonomic units (OTUs). The proof ensures that any valid approximation algorithm be able to reach the unique maximum point under the conditions mentioned above. An algorithm developed incorporating Newton's approximation method is then compared with the conventional one by means of computer simulation. The results show that the newly developed algorithm always requires less CPU time than the conventional one, whereas both algorithms lead to identical molecular phylogenetic trees in accordance with the proof.

References

Jan 1, 1985·Journal of Molecular Evolution·M HasegawaM Iwabuchi
Jan 1, 1982·Journal of Molecular Evolution·Y TatenoF Tajima
Jan 1, 1981·Journal of Molecular Evolution·J Felsenstein
Jan 1, 1963·The Biochemical Journal·R PITT-RIVERS, R R CAVALIERI

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Citations

Jan 1, 1991·Journal of Molecular Evolution·K Fukami-Kobayashi, Y Tateno
Dec 1, 1990·Journal of Molecular Evolution·B Golding, J Felsenstein
May 1, 1997·Bulletin of Mathematical Biology·C Tuffley, M Steel
Jun 1, 1996·International Journal for Parasitology·D A Morrison
Jun 11, 2005·Eukaryotic Cell·Charles HallFred S Dietrich
Oct 6, 2000·Molecular Biology and Evolution·B ChorD Penny
Jan 15, 2020·Bulletin of Mathematical Biology·Julia Matsieva, Katherine St John

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