The neutrality theory predicts that the rate of neutral molecular evolution
is constant over time, and thus that there is a molecular clock for timing
evolutionary events. It has been observed that the variance of the rate of
evolution is generally larger than expected according to the neutrality th
eory, which has raised the question of how reliable the molecular clock is
or, indeed, whether there is a molecular clock at all. We have carried out
an extensive investigation of three proteins, glycerol-3-phosphate dehydrog
enase (GPDH), superoxide dismutase (SOD), and xanthine dehydrogenase (XDH).
We have observed that (i) the three proteins evolve erratically through ti
me and across lineages and (ii) the erratic patterns of acceleration and de
celeration differ from locus to locus, so that one locus may evolve faster
in one than another lineage, whereas the opposite may be the case for anoth
er locus. The observations are inconsistent with the predictions made by va
rious subsidiary hypotheses proposed to account for the overdispersion of t
he molecular clock.