Exponents <i>q</i> for which multifractal analysis met the <i>r</i> < .995 benchmark for Eqs 3 and 4.

Plot of individual series’ multifractal analysis indicating, on the y-axis, how many values of q served to produce stable power-law relationships in Eqs 3 and 4 and, on the x-axis, the resulting width of the multifractal spectrum. Because q is effectively a distortion serving to reveal differences in the temporal structure, less multifractal series should withstand a wider range of q and generate more similar and all equally stable scaling relationships in Eqs 3 and 4. However, more multifractal series will have more heterogeneous structure that will be more likely to generate deviations in and eventually weaknesses in power-law relationships with smaller changes in q.