Accounting for uncertainties has also led us to alter our expectations of what is predictable and how such predictions compare to nature: in effect, to take on a more Bayesian approach to scientific research as well as to embrace more seamlessly the statistical and deterministic realms.
I will enumerate a few important geoscience problems that live in the realm of the deterministic and the statistical and describe, briefly, our Group's approach and progress on these. Among these I will choose a time series analysis project to provide more details on the methods we use to pursue this Bayesian research program.