Tsunami Recurrence Function: Structure, Methods of Creation, and Application for Tsunami Hazard Estimates

This paper considers a theoretical basement for a Poissonian probability model for tsunami run-up heights, with emphasis on the tsunami recurrence function. It is shown that the tsunami recurrence function of a general type contains at least two scale parameters: asymptotic frequency of big tsunamis...

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Bibliographic Details
Published in:Pure and applied geophysics 2014-12, Vol.171 (12), p.3527-3538
Main Author: Kaistrenko, Victor
Format: Article
Language:English
Subjects:
Asymptotic properties
Basements
Catalogues
Earth and Environmental Science
Earth Sciences
Earthquakes
Geophysics
Geophysics/Geodesy
Hazards
Mathematical models
Probability theory
Tsunamis
Weather hazards
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Summary:This paper considers a theoretical basement for a Poissonian probability model for tsunami run-up heights, with emphasis on the tsunami recurrence function. It is shown that the tsunami recurrence function of a general type contains at least two scale parameters: asymptotic frequency of big tsunamis f related to the considered region and characteristic tsunami height H * for the considered location in the region. A method for the correct statistical evaluation of the parameters f and H *, and their variations, using observational data from tsunami catalogues, is created. The paper considers some theoretical and applied problems related to the tsunami recurrence function, an example of a two-parameter tsunami hazard map, and also the problem of probabilistic tsunami hazard estimation.
ISSN:0033-4553
1420-9136
DOI:10.1007/s00024-014-0791-1