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Per Erixon

Publications and source records attributed to Per Erixon.

3 recordsLinked to original sources

Fundamental differences between the methods of maximum likelihood and maximum posterior probability in phylogenetics.

Using a four-taxon example under a simple model of evolution, we show that the methods of maximum likelihood and maximum posterior probability (which is a Bayesian method of inference) may not arrive at the same optimal tree topology. Some patterns that are separately uninformative under the maximum likelihood method are separately informative under the Bayesian method. We also show that this difference has impact on the bootstrap frequencies and the posterior probabilities of topologies, which therefore are not necessarily approximately equal. Efron et al. (Proc. Natl. Acad. Sci. USA 93:13429-13434, 1996) stated that bootstrap frequencies can, under certain circumstances, be interpreted as posterior probabilities. This is true only if one includes a non-informative prior distribution of the possible data patterns, and most often the prior distributions are instead specified in terms of topology and branch lengths. [Bayesian inference; maximum likelihood method; Phylogeny; support.].

Bayes Theorem↗

Reliability of Bayesian posterior probabilities and bootstrap frequencies in phylogenetics.

Many empirical studies have revealed considerable differences between nonparametric bootstrapping and Bayesian posterior probabilities in terms of the support values for branches, despite claimed predictions about their approximate equivalence. We investigated this problem by simulating data, which were then analyzed by maximum likelihood bootstrapping and Bayesian phylogenetic analysis using identical models and reoptimization of parameter values. We show that Bayesian posterior probabilities are significantly higher than corresponding nonparametric bootstrap frequencies for true clades, but also that erroneous conclusions will be made more often. These errors are strongly accentuated when the models used for analyses are underparameterized. When data are analyzed under the correct model, nonparametric bootstrapping is conservative. Bayesian posterior probabilities are also conservative in this respect, but less so.

Bayes Theorem↗

Phylogenetics of asterids based on 3 coding and 3 non-coding chloroplast DNA markers and the utility of non-coding DNA at higher taxonomic levels.

Asterids comprise 1/4-1/3 of all flowering plants and are classified in 10 orders and >100 families. The phylogeny of asterids is here explored with jackknife parsimony analysis of chloroplast DNA from 132 genera representing 103 families and all higher groups of asterids. Six different markers were used, three of the markers represent protein coding genes, rbcL, ndhF, and matK, and three other represent non-coding DNA; a region including trnL exons and the intron and intergenic spacers between trnT (UGU) to trnF (GAA); another region including trnV exons and intron, trnM and intergenic spacers between trnV (UAC) and atpE, and the rps16 intron. The three non-coding markers proved almost equally useful as the three coding genes in phylogenetic reconstruction at the high level of orders and families in asterids, and in relation to the number of aligned positions the non-coding markers were even more effective. Basal interrelationships among Cornales, Ericales, lamiids (new name replacing euasterids I), and campanulids (new name replacing euasterids II) are resolved with strong support. Family interrelationships are fully or almost fully resolved with medium to strong support in Cornales, Garryales, Gentianales, Solanales, Aquifoliales, Apiales, and Dipsacales. Within the three large orders Ericales, Lamiales, and Asterales, family interrelationships remain partly unclear. The analysis has contributed to reclassification of several families, e.g., Tetrameristaceae, Ebenaceae, Styracaceae, Montiniaceae, Orobanchaceae, and Scrophulariaceae (by inclusion of Pellicieraceae, Lissocarpaceae, Halesiaceae, Kaliphoraceae, Cyclocheilaceae, and Myoporaceae+Buddlejaceae, respectively), and to the placement of families that were unplaced in the APG-system, e.g., Sladeniaceae, Pentaphylacaceae, Plocospermataceae, Cardiopteridaceae, and Adoxaceae (in Ericales, Ericales, Lamiales, Aquifoliales, and Dipsacales, respectively), and Paracryphiaceae among campanulids. Several families of euasterids remain unclassified to order.

Chloroplasts↗