Controversies over the molecular clock hypothesis were reviewed. Since it is evident that the molecular clock does not hold in an exact sense, accounting for evolution of the rate of molecular evolution is a prerequisite when estimating divergence times with molecular sequences. Recently proposed statistical methods that account for this rate variation are overviewed and one of these procedures is applied to the mitochondrial protein sequences and to the nuclear gene sequences from many mammalian species in order to estimate the time scale of eutherian evolution. This Bayesian method not only takes account of the variation of molecular evolutionary rate among lineages and among genes, but it also incorporates fossil evidence via constraints on node times. With denser taxonomic sampling and a more realistic model of molecular evolution, this Bayesian approach is expected to increase the accuracy of divergence time estimates.Key words: Bayesian method, divergence times, variation of evolutionary
MOLECULAR CLOCKSince Pauling (1962, 1965) first recognized the possibility that proteins evolve at steady rates, the notion has aroused many controversies (Wilson et al., 1977;Kimura, 1983;Britten, 1986;Gillespie, 1991;Graur and Li, 2000). This hypothetical constancy of molecular evolution is called the molecular clock.The neutral theory provides a simple and successful explanation for a large number of observations of molecular evolution (Kimura, 1968(Kimura, , 1983). Yet the theory does not necessarily predict the molecular clock, since it simply predicts that the rate of molecular evolution is equal to the rate of neutral mutation, and the mutation rate may possibly be related to generation time rather than absolute time as suggested by many authors (e.g., Laird et al., 1969;Kohne, 1970). The generation time in rodents is much shorter than that in humans, and therefore the number of germline replications per year might be much higher in rodents than in humans.Britten (1986) showed that the rate of DNA evolution has been retarded in anthropoids compared with the rates in prosimians and in rodents. Wu and Li (1985) suggested that the rate of nucleotide substitution in rodents such as mice and rats is higher than that in humans, and that the ratio of the number of nucleotide substitutions in the rodent line to that in the human line since their divergence is 1.3 for nonsynonymous (amino acid replacing) substitutions and 2.0 for synonymous substitutions. It seems plausible that mice and rats evolve more rapidly than higher primates in the nuclear genes (Waterston et al., 2002), but the difference of the rate between rodents and humans seems smaller than the difference of the generation time between the two lineages. Genetic changes in evolution are the results of fixation of mutations that occurred in the germ cells, that is, eggs and sperms, and mutation rate may differ between female and male gametogenesis. Since the number of germ cell divisions is expected to be larger in males than in females, males are expected to ...