Comparison between the best-fit model and the simple power-law (PL) model using statistical criteria: reduced chi-squared (χ_red²), Akaike Information Criterion (AIC), Bayesian Information Criterion (BIC), and Jeffreys’ scale (Kass & Raftery 1995). The black dotted line in the left panel marks the reference value of χ_red² = 1, while the black dotted line in the right panel indicates the threshold where the the best-fit model are significantly preferred over the simple power-law.