I have, just in the past week +, discovered a remarkable property of the Levy distribution, not shared by any other stable distribution, which motivates using it to
characterize rainfall events.
We have fairly high confidence that we observe the history of Heinrich
events (huge discharges of ice - rafted debris from the Laurentide ice sheet through Hudson Bay that are roughly coincident with large southern warming, southward shift of the intertropical convergence zone, extensive sea ice in the north Atlantic, reduced monsoonal
rainfall in at least some parts of Asia, and other changes), and also cold phases of the Dansgaard / Oeschger oscillations that lack Heinrich layers and are
characterized by muted versions of the other climate anomalies I just mentioned.