The Cambrian radiation represents an interval when nearly 20 animal phyla a
ppear in the fossil record in a short geological time span; however, whethe
r this radiation also represents a period of extremely rapid speciation rem
ains unclear. Here, a stochastic framework is used to test the null hypothe
sis that diversity changes in one of the dominant Early Cambrian groups, th
e olenelloid trilobites, could be produced by tempos of speciation known to
have operated during later time periods. Two continuous-time models, the Y
ule model and the birth and death process model, and one discrete-time mode
l. the Bienayme-Galton-Watson branching process model, were used. No statis
tical evidence for uniquely high rates of speciation during the radiation i
n these trilobites was found when the continuous-time models were used with
low or moderate extinction rates, (lie rates typically associated,vith the
Cambrian radiation, although the p values are fairly low or, in one case,
significant when high extinction rates were used. However, rates of speciat
ion were higher than the average Phanerozoic rates of speciation. The discr
ete-time model produced equivocal results: either rates were unusually high
or the model is inapplicable during the Cambrian radiation. This suggests
that there was nothing unique about evolutionary processes relating to the
tempo of speciation during the Cambrian radiation.