Effects of flare definitions on the statistics of derived flare distributions

TL;DR

This study investigates how arbitrary thresholds in solar flare detection algorithms influence the statistical properties of flare distributions, revealing that such choices can significantly bias the inferred power law exponents and distribution stability.

Contribution

The paper demonstrates that flare detection thresholds affect the statistical analysis of flare distributions and highlights the need for proper degradation correction in PROBA2/LYRA data.

Findings

Flare size distribution exponents depend on detection thresholds.

Observed flare distributions may not be true power laws.

PROBA2/LYRA data are affected by degradation issues.

Abstract

The statistical examination of solar flares is crucial to revealing their global characteristics and behaviour. Such examinations can tackle large-scale science questions or give context to detailed single-event studies. However, they are often performed using standard but basic flare detection algorithms relying on arbitrary thresholds. This arbitrariness may lead to important scientific conclusions being drawn from results caused by subjective choices in algorithms rather than the true nature of the Sun. In this paper, we explore the effect of the arbitrary thresholds used in the GOES (Geostationary Operational Environmental Satellite) event list and LYRA (Large Yield RAdiometer) Flare Finder algorithms. We find that there is a small but significant relationship between the power law exponent of the GOES flare peak flux frequency distribution and the flare start thresholds of the algorithms. We also find that the power law exponents of these distributions are not stable, but appear to steepen with increasing peak flux. This implies that the observed flare size distribution may not be a power law at all. We show that depending on the true value of the exponent of the flare size distribution, this deviation from a power law may be due to flares missed by the flare detection algorithms. However, it is not possible determine the true exponent from GOES/XRS observations. Additionally we find that the PROBA2/LYRA flare size distributions are artificially steep and clearly non-power law. We show that this is consistent with an insufficient degradation correction. This means that PROBA2/LYRA should not be used for flare statistics or energetics unless degradation is adequately accounted for. However, it can be used to study variations over shorter timescales and for space weather monitoring.