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Describing the recurrence interval of extreme floods using nonextensive thermodynamics and Tsallis statistics

by C. J. Keylock
Advances in Water Resources ()


This paper introduces Tsallis statistics and the q-exponential distribution as a means of analysing hydrological phenomena. The basic framework is introduced and then the method is used to derive a distribution for flood recurrence intervals using recently published data from the River Po, Italy. This fits the data much more effectively than the simple power-law applied in a previous study. Hence, a distribution derived from power-law considerations is more appropriate than the power-law itself. Nonextensive statistical mechanics has the potential for much broader utility in hydrology than is demonstrated here. Some potential avenues for future study are introduced. ?? 2005 Elsevier Ltd. All rights reserved.

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