Table 1

Evolution of the ESPERTA model in terms of the provided forecast (severity of the SPEs and time when the forecast is issued), validation period and type, and scores (probability of detection-POD, false alarm rate-FAR, median, and average (AVG) warning time-WT).

References Forecast Forecast time Validation Median (AVG) WT POD FAR
Laurenza et al. (2009) ≥S1 SPEs 10 min after ≥ M2 flare peak time 1995–2005 55 min* 63% 42%
Alberti et al. (2017) ≥S1 SPEs 10 min after ≥ M2 flare peak time 2006–2014 ~2 h (~7 h) 59% 30%
Laurenza et al. (2018) ≥S1 SPEs 10 min after ≥ M2 flare peak time 1995–2014 ~4.8 h (~9 h) 63% 38%
Laurenza et al. (2018) ≥S2 SPEs S1 threshold crossing 1995–2014 ~1.7 h (4 h) 75% 24%
Alberti et al. (2019) ≥S1 SPEs 10 min after ≥ M2 flare peak time 1995–2017 6.7 h (–) 63% 38%
Alberti et al. (2019) ≥S2 SPEs S1 threshold crossing 1995–2017 75% 23%
Stumpo et al. (2021) ≥S1 SPEs 10 min after ≥ M2 flare peak time 1995–April 2017; stratified cross-validation 63%** 42%
*

Based on the 31–50 MeV protons onset times published by Posner (2007).

**

In Stumpo et al. (2021) a theoretical POD of 76% was computed without including the 21 missed SPEs due to <M2 flares. Here we considered them to obtain the operational POD, which is comparable with the other ESPERTA ones.

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