Section 3.3 there, the Fourier analysis, looks really weak. If you just plot 89 random numbers between 0 to 270 it'll have strong spectral peaks. Their method:

Section 3.3 there, the Fourier analysis, looks really weak. If you just plot 89 random numbers between 0 to 270 it'll have strong spectral peaks. Their method: > After permuting the order of the intervals, a new time series was re-calculated based on the new set of intervals. This method ensures that the test time series are between 0 and 260 Ma and the number of events remains at 89. Ultimately, only ~ 4% of the test datasets produced a higher spectral power at 27.5 Myr, indicating a confidence level of at least 96% for that period. ... seems very fishy to me. I could believe that the spectral power at that frequency is the mode in the data. I don't see a proof that the particular spectral power associated with 27.5 is statistically significant given a random set of events.