Dependence of the dust line location on the disk mass in the presence of weak bumps at 40, 80 and 120 au. The upper plot shows the dust emission profile at λ = 0.87 mm, as predicted by the model. The dust line location, as defined in the text, is highlighted on the profiles. The lower plot shows the surface density distribution of the most emitting grains. Both the dust line location and the outer edge of the dust surface density distribution trace the location of the outer bump and do not depend on the disk mass.