Correlation of f_conv with gas density in protoclump regions. In the left panels, we show the projected surface density of the gas. The top row represents V07 at z ~ 2, while the bottom row represents V08 at z ~ 1, as in Figure 1. The black circles indicate the location of a protoclump region. The white circle is the disk radius, defined as the radius that contains 85% of the cold gas in the disk. In the right panels, we show maps of mass weighted projections of f_conv in the same snapshot. The small magenta circle shows the location of the same protoclump region, while the large magenta circle is the disk radius. One can see that inside the region of the protoclump, most of the mass has f_conv ~0.5–0.8. Furthermore, we observed that the protoclump regions are close to where the stream joins the disk (see Sect. 2.5 and Figure 1).