Interesting! is the statistical distribution in the many tests climate research is based on discussed much in The Climate Change Encyclopedia
" In that particular issue, we observed a misuse of significance tests in about three-quarters of the articles; a randomly selected issue published 10 years “
Significance Tests in Climate Science, Ambaum, American Meteorological Society
"We tested a recent, randomly selected issue of the Journal of Climate for at least one instance in each article of misusing a significance test to quantify the validity of some physical hypothesis. The Journal of Climate was not selected because it is prone to include such errors, but because it can safely be considered to be one of the top journals in climate science."
Climatology of Non-Gaussian Atmospheric Statistics Perron and Sura
“A common assumption in the earth sciences is the Gaussianity of data over time. “ "From the results presented here, it is evident that Gaussianity is actually quite rare in the atmosphere. In fact, for daily observations, non-Gaussian statistics are the norm and not an exception. “
"At this point, it is important to note and realize that we only have a very rudimentary physical understanding of why we see the global patterns presented here. In fact, we do not have a fully developed theory of non-Gaussian statistics in the atmosphere. "
We deal with very complex systems, and more focus should possibly be put on making more robust (adaptive) systems?