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By a maximum likelihood analysis of mitochondrial DNA sequences, we examine Graur and Higgins' hypothesis of the Ruminantia/Cetacea clade with Suiformes as an outgroup. Graur and Higgins analyzed these sequences by the neighbor-joining and parsimony methods, as well as by the maximum likelihood method under the assumption that the substitution rate is the same for all sites. The Ruminantia/Suiformes clade assumed by the traditional taxonomy was rejected strongly by this analysis and the Ruminantia/Cetacea clade was supported. Adoption of a more realistic model distinguishing among rates at different codon positions in the maximum likelihood analysis of the same data, however, grossly reduces the significance level on the Graur-Higgins hypothesis. Thus, although the Ruminantia/Suiformes grouping is indeed least likely from Graur and Higgins' data set of mitochondrial DNA, this traditional tree cannot be rejected with statistical significance under the new analysis, and more data are needed to settle the issue. In the same way, we examine Irwin and Arnason's suggestion of the Hippopotamus/Cetacea clade by using cytochrome b and hemoglobins alpha and beta, and it turn out that their suggestion is also fragile. This analysis demonstrates the importance of selecting an appropriate model among the alternatives in the maximum likelihood analysis and of using many different genes from many relevant species in order to make reliable phylogenetic inferences.
Hasegawa et al. (Wed,) studied this question.