Long-term occurrence probabilities of intense geomagnetic storm events

Astronomy and Astrophysics – Astrophysics

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Solar Physics, Astrophysics, And Astronomy: Solar Activity Cycle (2162), Space Weather: Forecasting (2722), Space Weather: Magnetic Storms (2788)

Scientific paper

A quantitative assessment of the occurrence probability of intense geomagnetic storms (peak Dst < -100 nT) has been investigated by analyzing the Dst index time series database from 1957 to 2001. The main purpose was to derive two parameters, the probable intensity S T and the occurrence frequency λ t , that can act as proxies for long-term space weather quantities. The intensity S T represents the expected maximum storm level with an occurrence rate of 1/T (a-1, where a is years) and has been derived from the probability density function (PDF) of extreme (|Dst| > 280 nT) storms. The mathematical tool to determine this type of PDF is the extreme value modeling, which exhibits more accurate statistics for extreme behavior. Our results estimate S 60 ~ 589, indicating that the March 1989 storm (the event with the largest |Dst| in the database) corresponds to an event expected to occur only once every 60 a. The other parameter λ t gives the average occurrence rate of storm events. We have tested the null hypothesis that the storm occurrence pattern can be modeled as a Poisson process represented by λ t , where different λ t exist for the active and quiet periods of the solar cycle. Ordinary χ 2 tests of goodness of fit can not reject this hypothesis, except within the periods that include extremely frequent occurrences. The rate λ t is approximately 2.3 (0.7) per 3 months in the active (quiet) period. A future practical application of this work is that the resultant Poisson probability will enable us to calculate the expected damage due to storms, which represent potential risks in space activities.

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