Mass–size (top) and velocity dispersion-size (bottom) relations for the clumps in our simulations. The color of the points encodes the logarithm of the third quantity (velocity dispersion on the top panels, and mass in the bottom row), increasing from dark to light. The solid lines are the least absolute deviation fittings of the linear relations in log-log space. They are translated into a power-law in linear-linear space, with the indexes indicated at the top of each panel. The dashed lines show constant densities, for reference, and the dotted lines mark the threshold for the robust identification of outliers (see text, Eq. (1)).