Some experiments in extreme-value statistical modeling of magnetic superstorm intensities
Space Weather
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Abstract
In support of projects for forecasting and mitigating the deleterious effects of extreme space-weather storms, an examination is made of the intensities of magnetic superstorms recorded in the Dst index time series (1957-2016). Modified peak-over-threshold and solar-cycle, block-maximum sampling of the Dst time series are performed to obtain compi-lations of storm-maximum −Dstm intensity values. Lognormal, upper-limit lognormal, generalized Pareto, and generalized extreme-value model distributions are fitted to the−Dstm data using a maximum-likelihood algorithm. All four candidate models provide good representations of the data. Comparisons of the statistical significance and good-ness of fits of the various models gives no clear indication as to which model is best. The statistical models are used to extrapolate to extreme-value intensities, such as would be expected (on average) to occur once per century. An upper-limit lognormal fit to peak-over-threshold −Dstm data above a superstorm threshold of 283 nT gives a 100-year ex-trapolated intensity of 542 nT and a 68% confidence interval (obtained by bootstrap re-sampling) of [466, 583] nT. An upper-limit lognormal fit to solar-cycle, block-maximum−DstBM data gives a 9-solar-cycle (approximately 100-year) extrapolated intensity of 553 nT. The Dst data are found to be insufficient for providing usefully accurate esti-mates of a statistically theoretical upper limit for magnetic storm intensity. Secular change in storm intensities is noted, as is a need for improved estimates of pre-1957 magnetic storm intensities.
Suggested Citation
Love, J.J., 2019, Some experiments in extreme-value statistical modeling of magnetic superstorm intensities: Space Weather, v. 18, no. 1, e2019SW002255, https://doi.org/10.1029/2019SW002255.
| Publication type | Article |
|---|---|
| Publication Subtype | Journal Article |
| Title | Some experiments in extreme-value statistical modeling of magnetic superstorm intensities |
| Series title | Space Weather |
| DOI | 10.1029/2019SW002255 |
| Volume | 18 |
| Issue | 1 |
| Publication Date | January 15, 2020 |
| Year Published | 2019 |
| Language | English |
| Publisher | Wiley |
| Contributing office(s) | Geologic Hazards Science Center |
| Description | e2019SW002255 |