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The size distribution of spatiotemporal extreme rainfall clusters around the globe

Abstract : The scaling behavior of rainfall has been extensively studied both in terms of event magnitudes and in terms of spatial extents of the events. Different heavy-tailed distributions have been proposed as candidates for both instances, but statistically rigorous treatments are rare. Here we combine the domains of event magnitudes and event area sizes by a spatiotemporal integration of 3-hourly rain rates corresponding to extreme events derived from the quasi-global high-resolution rainfall product Tropical Rainfall Measuring Mission 3B42. A maximum likelihood evaluation reveals that the distribution of spatiotemporally integrated extreme rainfall cluster sizes over the oceans is best described by a truncated power law, calling into question previous statements about scale-free distributions. The observed subpower law behavior of the distribution's tail is evaluated with a simple generative model, which indicates that the exponential truncation of an otherwise scale-free spatiotemporal cluster size distribution over the oceans could be explained by the existence of land masses on the globe.
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Submitted on : Thursday, July 21, 2022 - 8:14:07 AM
Last modification on : Tuesday, October 25, 2022 - 12:49:19 PM
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D. Traxl, N. Boers, A. Rheinwalt, B. Goswami, J. Kurths. The size distribution of spatiotemporal extreme rainfall clusters around the globe. Geophysical Research Letters, 2016, 43, pp.9939-9947. ⟨10.1002/2016GL070692⟩. ⟨insu-03727103⟩



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