Distribution of the characteristic scales and exponents of the self-similar regimes extracted from the Δ-variance spectra of the THINGS galaxies. The subpanels display the distribution of the characteristic scale L_sf (bottom left), the distribution of the transition point between the two self-similar regimes, L_tr (bottom right), the distribution of the exponent of the first power law found on intermediate spatial scales (top left), and the distribution of the exponent of the second power law found at large spatial scales (top right).