Comparison of the normalized spectra of the isotropic wavelet coefficients (top panel) and the local degree of anisotropy (bottom panel) for maps with a hierarchy of structures of different sizes. The green line represents the projected density structure in a simulation of fully developed hydrodynamic turbulence with a close-to-power-law power spectrum and no preferred direction (Federrath et al. 2010). The blue and red curves show the results for maps composed of a hierarchy of Gaussian clumps with sizes of σ = 4 × 16, 8 × 32, 16 × 64, and 32 ×128 pixels. One map contains two clumps of each size, the other one a fixed area for clumps of different sizes, i.e., 64 clumps of the smallest sizeand one clump of the largest size.