Estimating the Maximum Intensities of Soft X-Ray Flares Using Extreme Value Theory

Abstract

Solar flares are one of the most energetic events in the solar system, their impact on Earth at ground level and its atmosphere remains under study. The repercussions of this phenomenon in our technological infrastructure includes radio blackouts and errors in geopositional and navigation systems that are considered natural hazards in ever more countries. Occurrence frequency and intensity of the most energetic solar flares are been taken into account in national programs for civil protection in order to reduce the risk and increase the resilience from Space Weather events. In this work we use the statistical theory of extreme values as well as other statistical methods in order to asses the magnitudes of the most extreme solar flare events expected to occur in a given period of time. We found that the data set under study presents a dual tail behaviour. Our results show that on average we can expect one solar flare greater than X23 each 25 years, that is to say, one such event each two solar cycles.

Self-excitation in the solar flare waiting time distribution

“…Solar flares and other extreme forms of space weather can have a severe impact on electical devices such as radios and GPS satellites [1] [2]. As such, bullding more sophisticated occurrence models can po- * gordon.ross@ed.ac.uk tentially improve the quality of predictions and forecasts, as well as leading to improved risk quantification [10][11][12].…”