Table 1: The input parameters and observed properties of the models.
  Input parameters   Observed properties  
$\char93 $ $\alpha_{\rm init}$ $\xi $ $\log M_{\rm low}$ [$M_\odot$] ff [$\%$] $\rho_{\rm 2D}$ [$\%$] $\alpha_{\rm true}$ $\alpha_{\rm obs}$ $\frac{N_{\rm obs}}{N_{\rm tot}}$ [$\%$] $\frac{M_{\rm obs}}{M_{\rm tot}}$ [$\%$] AH-Ka AJ-H
1b 2.5 0.10 4.0 23 11 - - <1 - - $\pm$ - - $\pm$ -
2 2.5 0.27 4.0 12 11 2.6 2.6 2.7 7.3 6.7 $\pm$ 0.75 9.0 $\pm$ 0.33
3 2.5 0.50 4.0 7.2 11 2.6 2.2 6.2 11 6.3 $\pm$ 0.78 5.8 $\pm$ 0.30
4 2.5 0.75 4.0 4.9 11 2.4 2.2 8.6 22 3.7 $\pm$ 0.49 5.2 $\pm$ 0.30
5 2.0 0.10 4.0 13 14 1.9 2.7 7.1 5.8 10 $\pm$ 0.40 9.0 $\pm$ 0.26
6 2.0 0.27 4.0 12 13 2.0 2.7 7.9 7.2 7.1 $\pm$ 0.26 7.4 $\pm$ 0.24
7 2.0 0.50 4.0 7.2 14 1.9 2.0 11 8.8 5.7 $\pm$ 0.21 5.2 $\pm$ 0.21
8 2.0 0.75 4.0 5.4 14 2.0 2.0 14 9.8 3.7 $\pm$ 0.13 4.5 $\pm$ 0.13
9 1.5 0.10 4.0 28 17 1.5 2.8 33 7.0 8.4 $\pm$ 0.23 8.3 $\pm$ 0.26
10 1.5 0.27 4.0 14 18 1.5 2.4 34 6.3 7.6 $\pm$ 0.25 7.4 $\pm$ 0.11
11 1.5 0.50 4.0 9.0 18 1.6 2.0 35 8.3 5.1 $\pm$ 0.13 5.4 $\pm$ 0.13
12 1.5 0.75 4.0 6.2 17 1.5 2.1 33 11 4.1 $\pm$ 0.11 4.5 $\pm$ 0.08
13 2.5 0.10 4.5 28 24 2.6 3.1 8.0 7.0 9.5 $\pm$ 0.85 10 $\pm$ 0.41
14 2.5 0.27 4.5 18 24 2.6 2.7 14 8.4 7.0 $\pm$ 0.68 7.7 $\pm$ 0.65
15 2.5 0.50 4.5 12 24 2.7 2.8 24 10 5.1 $\pm$ 0.43 6.2 $\pm$ 0.34
26 2.5 0.75 4.5 8 24 2.7 2.4 31 14 3.6 $\pm$ 0.34 4.6 $\pm$ 0.33
17 2.0 0.10 4.5 55 31 2.1 2.4 19 8.2 9.2 $\pm$ 0.35 9.5 $\pm$ 0.30
18 2.0 0.27 4.5 38 31 2.0 2.2 21 9.2 6.8 $\pm$ 0.23 7.2 $\pm$ 0.20
19 2.0 0.50 4.5 27 31 2.0 2.0 27 13 4.9 $\pm$ 0.20 5.2 $\pm$ 0.20
20 2.0 0.75 4.5 20 31 1.9 2.0 34 13 4.1 $\pm$ 0.13 4.0 $\pm$ 0.12
21 1.5 0.10 4.5 27 17 1.5 2.4 17 7.2 9.4 $\pm$ 0.27 8.2 $\pm$ 0.19
22 1.5 0.27 4.5 14 15 1.5 2.3 9.8 8.5 6.9 $\pm$ 0.25 6.8 $\pm$ 0.20
23 1.5 0.50 4.5 10 16 1.5 2.4 13 8.0 4.6 $\pm$ 0.15 4.4 $\pm$ 0.20
24 1.5 0.75 4.5 8.0 19 1.5 2.5 19 9.1 3.9 $\pm$ 0.08 3.8 $\pm$ 0.09
25 2.5 0.10 5.0 36 32 2.7 2.7 53 5.1 12 $\pm$ 0.57 11 $\pm$ 0.19
26 2.5 0.27 5.0 20 32 2.5 2.6 56 6.7 8.0 $\pm$ 0.48 9.3 $\pm$ 0.22
27 2.5 0.50 5.0 10 32 2.5 2.8 58 8.1 7.1 $\pm$ 0.23 6.4 $\pm$ 0.17
28 2.5 0.75 5.0 7.8 32 2.5 2.6 59 11 4.3 $\pm$ 0.17 4.5 $\pm$ 0.14
29 2.0 0.10 5.0 37 30 2.0 2.9 68 7.2 11 $\pm$ 0.35 11 $\pm$ 0.28
30 2.0 0.27 5.0 14 24 2.0 2.7 91 9.0 7.6 $\pm$ 0.37 7.5 $\pm$ 0.31
31 2.0 0.50 5.0 11 30 2.0 2.3 83 10 5.6 $\pm$ 0.15 5.5 $\pm$ 0.23
32 2.0 0.75 5.0 7.0 30 1.9 2.3 94 14 4.2 $\pm$ 0.11 4.3 $\pm$ 0.10
33 1.5 0.10 5.0 28 17 1.4 2.4 71 7.0 8.2 $\pm$ 0.27 8.1 $\pm$ 0.29
34 1.5 0.27 5.0 14 18 1.5 2.2 78 7.6 7.8 $\pm$ 0.19 7.6 $\pm$ 0.18
35 1.5 0.50 5.0 9.0 18 1.6 1.9 85 8.5 5.4 $\pm$ 0.12 5.6 $\pm$ 0.16
36 1.5 0.75 5.0 6.2 17 1.5 2.1 78 10 4.3 $\pm$ 0.12 4.6 $\pm$ 0.09
a Slope of the fit to the frequency distribution of color excess pixel values, i.e. $\log y=-Ax+B$.
b With the parameter settings of this run, only a very small fraction of the clouds were detected.

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