Two-dimensional histograms of the αβγ interrelationship. Left panel: Two-dimensional histogram of γ and log₁₀(α). The white solid line shows the most frequent value of γ in each log₁₀(α), while the magenta dashed line shows the predicted γ using the theoretical model of Livadiotis & Nicolaou (2021). Middle panel: Two-dimensional histogram of log₁₀(β) and log₁₀(α). The white solid line shows the most frequent value of log₁₀(β) in each log₁₀(α), while the magenta dashed line shows the predicted log₁₀(β) using the function: log₁₀β = log₁₀β₀ + λ ⋅ |log₁₀α−log₁₀α₀|^δ. Right panel: Two-dimensional histogram of γ and log₁₀(β). The white solid line shows the most frequent value of γ in each log₁₀(β), while the magenta dashed line shows the predicted γ using a non-linear fitting by substituting the previous function to the theoretical model of Livadiotis & Nicolaou (2021). In all panels the logarithm of occurrence in each bin is colour-coded in red corresponding to 10 000 values.