FigS5-HaichengCCFMD_DK
Figures S5. Magnitude rank-ordering plots (non-normalized complementary cumulative frequency-magnitude distribution, CCFMD) for the sequences of pre-mainshock, post-mainshock, and combined pre-mainshock and post-mainshock sequences of the mL 7.4 Haicheng earthquake on February 4, 1975, for different density threshold fth. The dragon-king earthquake testing framework developed in this study divides the frequency-magnitude distribution into three distinct regions based on the completeness magnitude mc (vertical gray line) and the dragon-king earthquake candidate transition magnitude mt (vertical gray dashed line): the incomplete part (light gray solid circles), the Gutenberg-Richter part (dark gray solid circles), and the dragon-king candidate part (black solid circles). If dragon-king earthquakes (red solid circles) are identified with a significance level α = 0.05, they are bounded by the minimum magnitude among them, referred to as the dragon-king transition magnitude mDK (vertical black line). The CCFMD as a function of magnitude, CCFMD(m) = 10a - bm, representing the Gutenberg-Richter law, is fitted to the data above mc and below mDK, and is shown by the red dashed line. The p-value of the mL 7.4 Haicheng earthquake as a potential dragon-king earthquake, obtained with the MRS test statistic using the other events in the sequence, is displayed in the parentheses of the legend.
