3*L1206$_\mathrm{B}$     2*8.0     0.28     0.39     2.07     1.86    $\cdots$     $\cdots$     4.35     $\cdots$     5.19     6.35     $\cdots$     $\cdots$     $\cdots$     $\cdots$     $\cdots$     $\cdots$

2*0.03     (0.30)     (0.41)     (2.13)     (1.88)     $\cdots$     $\cdots$     (4.05)     $\cdots$     (3.87)     (5.11)     $\cdots$     $\cdots$     $\cdots$     $\cdots$     $\cdots$     $\cdots$

[0.04]     [0.05]     [0.29]     [0.29]     $\cdots$     $\cdots$     [0.85]     $\cdots$     [0.84]     [1.15]     $\cdots$     $\cdots$     $\cdots$     $\cdots$     $\cdots$     $\cdots$

3*IRAS22172$_\mathrm{mir1}$     2*8.0     0.10     0.10     0.30     1.17    0.72     $\cdots$     0.93     $\cdots$     3.28     6.12     $\cdots$     $\cdots$     $\cdots$     $\cdots$     $\cdots$     $\cdots$

2*0.09     (0.14)     (0.12)     (0.45)     (1.33)     (1.11)     $\cdots$     (0.93)     $\cdots$     (3.58)     (6.82)     $\cdots$     $\cdots$     $\cdots$     $\cdots$     $\cdots$     $\cdots$

[0.10]     [0.16]     [0.40]     [0.57]     [0.42]     $\cdots$     [1.70]     $\cdots$     [3.01]     [3.49]     $\cdots$     $\cdots$     $\cdots$     $\cdots$     $\cdots$     $\cdots$

3*IRAS22172$_\mathrm{mir2}$     2*26.75     0.62     0.74     2.73     5.41    5.51     $\cdots$     7.20     $\cdots$     22.92     25.13     $\cdots$     $\cdots$     $\cdots$     $\cdots$     $\cdots$     $\cdots$

2*0.31     (0.68)     (0.79)     (3.05)     (5.41)     (6.26)     $\cdots$     (7.20)     $\cdots$     (22.92)     (25.13)     $\cdots$     $\cdots$     $\cdots$     $\cdots$     $\cdots$     $\cdots$

[0.11]     [0.11]     [0.44]     [0.77]     [0.94]     $\cdots$     [1.02]     $\cdots$     [3.24]     [3.55]     $\cdots$     $\cdots$     $\cdots$     $\cdots$     $\cdots$     $\cdots$

3*IRAS22172$_\mathrm{mir3}$     2*7.75     0.04     0.03     0.23     0.89    0.62     $\cdots$     0.90     $\cdots$     4.26     5.71     $\cdots$     $\cdots$     $\cdots$     $\cdots$     $\cdots$     $\cdots$

2*0.09     (0.05)     (0.04)     (0.31)     (1.04)     (0.83)     $\cdots$     (1.02)     $\cdots$     (5.01)     (5.71)     $\cdots$     $\cdots$     $\cdots$     $\cdots$     $\cdots$     $\cdots$

[0.04]     [0.07]     [0.21]     [0.29]     [0.37]     $\cdots$     [1.11]     $\cdots$     [1.77]     [2.17]     $\cdots$     $\cdots$     $\cdots$     $\cdots$     $\cdots$     $\cdots$

3*IRAS21391$_\mathrm{bima2}$     2*7.0     0.01     0.06     0.11     0.24    0.13     $\cdots$     0.50     $\cdots$     6.65     11.03     $\cdots$     $\cdots$     $\cdots$     $\cdots$     $\cdots$     $\cdots$

2*0.03     (0.02)     (0.08)     (0.15)     (0.34)     (0.19)     $\cdots$     (0.53)     $\cdots$     (6.78)     (11.52)     $\cdots$     $\cdots$     $\cdots$     $\cdots$     $\cdots$     $\cdots$

[0.01]     [0.02]     [0.03]     [0.04]     [0.04]     $\cdots$     [0.12]     $\cdots$     [2.80]     [3.92]     $\cdots$     $\cdots$     $\cdots$     $\cdots$     $\cdots$     $\cdots$

3*IRAS21391$_\mathrm{bima3}$     2*7.75     0.02     0.06     0.09     0.23    0.11     $\cdots$     0.27     $\cdots$     8.66     12.94     $\cdots$     $\cdots$     $\cdots$     $\cdots$     $\cdots$     $\cdots$

2*0.03     (0.03)     (0.08)     (0.14)     (0.32)     (0.19)     $\cdots$     (0.27)     $\cdots$     (8.66)     (13.12)     $\cdots$     $\cdots$     $\cdots$     $\cdots$     $\cdots$     $\cdots$

[0.01]     [0.03]     [0.04]     [0.10]     [0.06]     $\cdots$     [0.28]     $\cdots$     [2.58]     [4.21]     $\cdots$     $\cdots$     $\cdots$     $\cdots$     $\cdots$     $\cdots$

3*IRAS21391$_\mathrm{mir48}$     2*7.75     0.05     0.08     0.14     0.23    0.22     $\cdots$     0.93     $\cdots$     3.39     4.70     $\cdots$     $\cdots$     $\cdots$     $\cdots$     $\cdots$     $\cdots$

2*0.03     (0.05)     (0.09)     (0.17)     (0.29)     (0.26)     $\cdots$     (0.93)     $\cdots$     (3.14)     (4.04)     $\cdots$     $\cdots$     $\cdots$     $\cdots$     $\cdots$     $\cdots$

[0.01]     [0.01]     [0.02]     [0.13]     [0.03]     $\cdots$     [0.14]     $\cdots$     [0.56]     [0.67]     $\cdots$     $\cdots$     $\cdots$     $\cdots$     $\cdots$     $\cdots$

$F_{3.6}$, $F_{4.5}$, $F_{5.8}$, and $F_{8.0}$ refer to fluxes from Spitzer-IRAC at 3.6, 4.5, 5.8, and 8.0 $\mu$m, respectively. $F_{7.7}$, $F_{11.1}$, $F_{19.1}$, $F_{24.4}$, $F_{31.5}$, and $F_{37.1}$ refer to fluxes from SOFIA-FORCAST at 7.7, 11.1, 19.1, 24.4, 31.5, and 37.5 $\mu$m, respectively. $F_{70}$, $F_{100}$, $F_{160}$, $F_{250}$, $F_{350}$ and $F_{500}$ refer to fluxes from Herschel-PACS/SPIRE at 70, 100, 160, 250, 350, and 500 $\mu$m, respectively. $\dagger$ No Herschel-PACS 70 $\mu$m data is available and SOFIA-FORCAST 37 $\mu$m was used to find the optimal aperture (Sect. <ref>).

Parameters of the Five Best-Fitted Models and Average and Dispersion of good Models

Source    $\chi^{2}$     $M_{\rm c}$     $\Sigma_{\rm cl}$     $R_{\rm core}$     $m_{*}$     $\theta_{\rm view}$    $A_{V}$     $M_{\rm env}$    $\theta_{w,\rm esc}$     $\dot {M}_{\rm disk}$     $L_{\rm bol, iso}$     $L_{\rm bol}$

($M_\odot$)     (g $\rm cm^{-2}$)     (pc)     ($M_{\odot}$)     ()     (mag)     ($M_{\odot}$)     (deg)    ($M_{\odot}$/yr)     ($L_{\odot}$)     ($L_{\odot}$)

13cSOMA I

AFGL4029     0.33     80     0.100     0.21     8     68     0     61.51     27     5.0$\times10^{-5}$     5.3$\times10^{3}$     9.7$\times10^{3}$

$d=2.0$ kpc     0.36     80     0.100     0.21     12     74     0     46.52     40     5.4$\times10^{-5}$     4.9$\times10^{3}$     1.6$\times10^{4}$

$R_\mathrm{ap}=12.75\arcsec$     0.39     100     0.100     0.23     16     89     29     53.01     45     6.2$\times10^{-5}$     7.1$\times10^{3}$     3.0$\times10^{4}$

$R_\mathrm{ap}=0.12$ pc     0.40     40     0.316     0.08     8     44     0     22.29     36     9.2$\times10^{-5}$     5.0$\times10^{3}$     1.2$\times10^{4}$

0.42     50     0.316     0.09     12     58     0     21.56     46     1.0$\times10^{-4}$     4.8$\times10^{3}$     2.4$\times10^{4}$

Average model     #567      $59^{+36}_{-23}$     $0.427^{+1.019}_{-0.301}$     $0.09^{+0.10}_{-0.05}$     $13^{+10}_{-6}$     $57 \pm 22$     $103 \pm 102$     $21^{+32}_{-13}$     $44 \pm 14$     $1.4^{+1.8}_{-0.8}\times10^{-4}$     $1.4^{+5.0}_{-1.1}\times10^{4}$     $2.9^{+6.3}_{-2.0}\times10^{4}$

AFGL437     1.10     160     0.100     0.29     16     68     0     115.88     32     8.1$\times10^{-5}$     1.5$\times10^{4}$     3.3$\times10^{4}$

$d=2.0$ kpc     1.43     30     3.160     0.02     12     51     0     7.47     43     5.5$\times10^{-4}$     1.5$\times10^{4}$     4.9$\times10^{4}$

$R_\mathrm{ap}=29.50\arcsec$     1.84     50     3.160     0.03     24     65     27     5.46     56     6.8$\times10^{-4}$     2.0$\times10^{4}$     1.9$\times10^{5}$

$R_\mathrm{ap}=0.29$ pc     1.97     200     0.100     0.33     12     39     0     174.14     20     8.0$\times10^{-5}$     1.5$\times10^{4}$     2.0$\times10^{4}$

1.97     160     0.100     0.29     24     86     26     86.57     45     8.5$\times10^{-5}$     1.9$\times10^{4}$     7.8$\times10^{4}$

Average model     #27      $115^{+99}_{-53}$     $0.235^{+0.800}_{-0.181}$     $0.16^{+0.30}_{-0.11}$     $17^{+6}_{-4}$     $67 \pm 16$     $10 \pm 12$     $58^{+130}_{-40}$     $37 \pm 10$     $1.3^{+1.8}_{-0.8}\times10^{-4}$     $1.6^{+0.2}_{-0.2}\times10^{4}$     $4.8^{+4.5}_{-2.3}\times10^{4}$

IRAS07299     0.26     40     1.000     0.05     12     51     37     15.56     42     2.5$\times10^{-4}$     1.1$\times10^{4}$     4.5$\times10^{4}$

$d=1.7$ kpc     0.31     80     0.316     0.12     16     68     14     41.63     42     1.5$\times10^{-4}$     9.7$\times10^{3}$     4.2$\times10^{4}$

$R_\mathrm{ap}=7.50\arcsec$     0.33     50     1.000     0.05     16     65     7     16.19     48     2.8$\times10^{-4}$     8.6$\times10^{3}$     6.7$\times10^{4}$

$R_\mathrm{ap}=0.06$ pc     0.33     30     3.160     0.02     12     58     39     7.47     43     5.5$\times10^{-4}$     1.1$\times10^{4}$     4.9$\times10^{4}$

0.44     80     1.000     0.07     24     77     3     25.07     52     3.5$\times10^{-4}$     9.9$\times10^{3}$     1.2$\times10^{5}$

Average model     #106      $53^{+24}_{-17}$     $1.594^{+2.033}_{-0.894}$     $0.04^{+0.03}_{-0.02}$     $15^{+7}_{-5}$     $66 \pm 16$     $28 \pm 30$     $19^{+17}_{-9}$     $42 \pm 10$     $4.2^{+3.2}_{-1.8}\times10^{-4}$     $1.2^{+0.4}_{-0.3}\times10^{4}$     $6.5^{+6.6}_{-3.3}\times10^{4}$

G35.20-0.74     1.66     160     0.316     0.17     12     29     29     135.26     20     1.8$\times10^{-4}$     2.8$\times10^{4}$     3.8$\times10^{4}$

$d=2.2$ kpc     1.68     160     0.316     0.17     16     39     32     124.70     26     2.0$\times10^{-4}$     2.8$\times10^{4}$     5.0$\times10^{4}$

$R_\mathrm{ap}=18.75\arcsec$     1.85     160     0.316     0.17     24     51     58     97.59     37     2.2$\times10^{-4}$     3.1$\times10^{4}$     9.9$\times10^{4}$

$R_\mathrm{ap}=0.20$ pc     1.93     80     3.160     0.04     12     39     26     58.05     22     8.4$\times10^{-4}$     2.8$\times10^{4}$     5.0$\times10^{4}$

1.97     200     0.316     0.19     16     29     64     162.47     22     2.2$\times10^{-4}$     3.7$\times10^{4}$     5.3$\times10^{4}$

Average model     #231      $122^{+67}_{-43}$     $0.723^{+1.215}_{-0.453}$     $0.10^{+0.10}_{-0.05}$     $19^{+9}_{-6}$     $62 \pm 17$     $35 \pm 36$     $72^{+64}_{-34}$     $33 \pm 11$     $3.5^{+3.3}_{-1.7}\times10^{-4}$     $2.8^{+1.0}_{-0.7}\times10^{4}$     $9.1^{+9.9}_{-4.7}\times10^{4}$

G45.47+0.05     0.96     320     3.160     0.07     24     22     178     276.82     15     1.8$\times10^{-3}$     3.3$\times10^{5}$     3.1$\times10^{5}$

$d=8.4$ kpc     0.97     240     3.160     0.06     24     29     156     194.50     18     1.6$\times10^{-3}$     2.6$\times10^{5}$     3.1$\times10^{5}$

$R_\mathrm{ap}=15.00\arcsec$     1.04     240     3.160     0.06     32     34     182     175.32     23     1.9$\times10^{-3}$     3.2$\times10^{5}$     5.0$\times10^{5}$

$R_\mathrm{ap}=0.61$ pc     1.05     400     1.000     0.15     24     22     98     347.96     16     7.7$\times10^{-4}$     1.9$\times10^{5}$     2.0$\times10^{5}$

1.07     320     3.160     0.07     16     22     3     293.14     12     1.4$\times10^{-3}$     1.0$\times10^{5}$     1.1$\times10^{5}$

Average model     #330      $318^{+126}_{-90}$     $1.331^{+1.636}_{-0.734}$     $0.11^{+0.08}_{-0.05}$     $35^{+18}_{-12}$     $61 \pm 18$     $88 \pm 47$     $235^{+100}_{-70}$     $25 \pm 8$     $1.0^{+0.6}_{-0.4}\times10^{-3}$     $1.6^{+0.6}_{-0.4}\times10^{5}$     $3.7^{+2.8}_{-1.6}\times10^{5}$

IRAS20126     0.83     80     0.316     0.12     16     86     16     41.63     42     1.5$\times10^{-4}$     9.2$\times10^{3}$     4.2$\times10^{4}$

$d=1.6$ kpc     1.81     120     0.316     0.14     24     83     63     57.10     47     1.8$\times10^{-4}$     1.5$\times10^{4}$     9.3$\times10^{4}$

$R_\mathrm{ap}=12.75\arcsec$     1.83     40     3.160     0.03     16     55     130     10.27     44     6.8$\times10^{-4}$     2.4$\times10^{4}$     1.1$\times10^{5}$

$R_\mathrm{ap}=0.10$ pc     2.11     40     3.160     0.03     12     44     115     17.69     35     6.5$\times10^{-4}$     2.1$\times10^{4}$     4.9$\times10^{4}$

2.17     100     0.316     0.13     16     58     55     61.06     36     1.6$\times10^{-4}$     1.4$\times10^{4}$     4.5$\times10^{4}$

Average model     #17      $91^{+31}_{-23}$     $0.362^{+0.271}_{-0.155}$     $0.12^{+0.06}_{-0.04}$     $19^{+4}_{-4}$     $77 \pm 9$     $47 \pm 30$     $44^{+22}_{-15}$     $44 \pm 3$     $1.7^{+0.8}_{-0.5}\times10^{-4}$     $1.2^{+0.4}_{-0.3}\times10^{4}$     $6.1^{+3.2}_{-2.1}\times10^{4}$

CepA     1.04     120     0.316     0.14     12     55     69     93.48     24     1.6$\times10^{-4}$     2.0$\times10^{4}$     3.6$\times10^{4}$

$d=0.7$ kpc     1.34     160     0.316     0.17     24     68     112     97.59     37     2.2$\times10^{-4}$     2.8$\times10^{4}$     9.9$\times10^{4}$

$R_\mathrm{ap}=36.25\arcsec$     1.61     160     0.316     0.17     32     89     119     72.00     48     2.2$\times10^{-4}$     2.5$\times10^{4}$     1.7$\times10^{5}$

$R_\mathrm{ap}=0.12$ pc     1.69     120     0.316     0.14     16     77     61     82.16     32     1.8$\times10^{-4}$     1.7$\times10^{4}$     4.6$\times10^{4}$

1.73     100     1.000     0.07     24     55     107     46.18     43     4.4$\times10^{-4}$     2.5$\times10^{4}$     1.3$\times10^{5}$

Average model     #106      $107^{+45}_{-31}$     $0.544^{+0.626}_{-0.291}$     $0.10^{+0.07}_{-0.04}$     $16^{+6}_{-5}$     $71 \pm 12$     $66 \pm 31$     $67^{+37}_{-24}$     $32 \pm 8$     $2.6^{+1.7}_{-1.0}\times10^{-4}$     $2.0^{+0.5}_{-0.4}\times10^{4}$     $6.1^{+4.5}_{-2.6}\times10^{4}$

NGC7538     0.55     50     3.160     0.03     16     44     61     20.52     37     7.7$\times10^{-4}$     4.7$\times10^{4}$     1.1$\times10^{5}$

$d=2.6$ kpc     0.57     200     0.100     0.33     24     89     21     128.41     37     9.9$\times10^{-5}$     2.7$\times10^{4}$     8.1$\times10^{4}$

$R_\mathrm{ap}=13.75\arcsec$     0.60     60     3.160     0.03     12     34     25     37.85     27     7.6$\times10^{-4}$     3.3$\times10^{4}$     5.0$\times10^{4}$

$R_\mathrm{ap}=0.18$ pc     0.78     50     3.160     0.03     12     39     0     27.72     30     7.1$\times10^{-4}$     2.2$\times10^{4}$     5.1$\times10^{4}$

0.92     200     0.100     0.33     32     89     35     101.23     48     9.9$\times10^{-5}$     3.0$\times10^{4}$     1.5$\times10^{5}$

Average model     #55      $122^{+90}_{-52}$     $0.568^{+1.573}_{-0.417}$     $0.11^{+0.16}_{-0.06}$     $27^{+14}_{-9}$     $67 \pm 16$     $23 \pm 19$     $50^{+50}_{-25}$     $46 \pm 9$     $3.0^{+3.7}_{-1.7}\times10^{-4}$     $2.9^{+0.5}_{-0.5}\times10^{4}$     $1.6^{+1.5}_{-0.8}\times10^{5}$

13cSOMA II

G45.12+0.13     15.29     240     3.160     0.06     32     29     0     175.32     23     1.9$\times10^{-3}$     4.5$\times10^{5}$     5.0$\times10^{5}$

$d=7.4$ kpc     15.30     480     1.000     0.16     96     48     0     237.78     43     1.3$\times10^{-3}$     4.4$\times10^{5}$     1.6$\times10^{6}$

$R_\mathrm{ap}=47.00\arcsec$     15.61     480     1.000     0.16     48     29     1     366.96     25     1.1$\times10^{-3}$     4.5$\times10^{5}$     5.4$\times10^{5}$

$R_\mathrm{ap}=1.69$ pc     17.32     480     1.000     0.16     64     39     0     324.63     32     1.2$\times10^{-3}$     3.6$\times10^{5}$     8.4$\times10^{5}$

17.95     400     1.000     0.15     64     39     4     246.43     36     1.1$\times10^{-3}$     4.2$\times10^{5}$     8.2$\times10^{5}$

Average model     #815      $350^{+150}_{-105}$     $0.906^{+1.724}_{-0.594}$     $0.14^{+0.14}_{-0.07}$     $44^{+31}_{-18}$     $57 \pm 21$     $23 \pm 53$     $217^{+138}_{-84}$     $32 \pm 13$     $8.3^{+8.6}_{-4.2}\times10^{-4}$     $2.4^{+4.5}_{-1.6}\times10^{5}$     $4.9^{+5.1}_{-2.5}\times10^{5}$

G309.92+0.48     1.66     480     1.000     0.16     96     51     20     237.78     43     1.3$\times10^{-3}$     3.3$\times10^{5}$     1.6$\times10^{6}$

$d=5.5$ kpc     1.70     240     3.160     0.06     32     39     6     175.32     23     1.9$\times10^{-3}$     2.7$\times10^{5}$     5.0$\times10^{5}$

$R_\mathrm{ap}=17.75\arcsec$     1.88     240     3.160     0.06     24     29     1     194.50     18     1.6$\times10^{-3}$     2.6$\times10^{5}$     3.1$\times10^{5}$

$R_\mathrm{ap}=0.47$ pc     1.89     400     1.000     0.15     64     44     3     246.43     36     1.1$\times10^{-3}$     2.7$\times10^{5}$     8.2$\times10^{5}$

2.01     400     1.000     0.15     48     34     11     288.73     29     1.0$\times10^{-3}$     3.0$\times10^{5}$     5.3$\times10^{5}$

Average model     #21      $340^{+147}_{-102}$     $1.550^{+1.798}_{-0.832}$     $0.11^{+0.08}_{-0.05}$     $45^{+31}_{-18}$     $39 \pm 9$     $14 \pm 18$     $230^{+76}_{-57}$     $29 \pm 9$     $1.3^{+0.6}_{-0.4}\times10^{-3}$     $3.0^{+0.7}_{-0.6}\times10^{5}$     $6.1^{+4.7}_{-2.7}\times10^{5}$

G35.58-0.03     0.82     480     3.160     0.09     24     29     11     440.54     12     2.0$\times10^{-3}$     2.7$\times10^{5}$     2.9$\times10^{5}$

$d=10.2$ kpc     1.04     400     3.160     0.08     24     39     8     361.65     13     1.9$\times10^{-3}$     2.6$\times10^{5}$     3.0$\times10^{5}$

$R_\mathrm{ap}=16.00\arcsec$     1.57     320     3.160     0.07     24     51     3     276.82     15     1.8$\times10^{-3}$     2.3$\times10^{5}$     3.1$\times10^{5}$

$R_\mathrm{ap}=0.79$ pc     1.70     480     1.000     0.16     48     48     7     366.96     25     1.1$\times10^{-3}$     2.4$\times10^{5}$     5.4$\times10^{5}$

1.93     480     1.000     0.16     64     55     24     324.63     32     1.2$\times10^{-3}$     2.6$\times10^{5}$     8.4$\times10^{5}$

Average model     #37      $417^{+73}_{-62}$     $2.245^{+1.581}_{-0.928}$     $0.10^{+0.04}_{-0.03}$     $31^{+15}_{-10}$     $48 \pm 12$     $10 \pm 14$     $349^{+59}_{-50}$     $18 \pm 7$     $1.6^{+0.4}_{-0.3}\times10^{-3}$     $2.5^{+0.2}_{-0.2}\times10^{5}$     $3.9^{+1.9}_{-1.3}\times10^{5}$

IRAS16562     0.38     200     0.316     0.19     32     48     67     114.70     41     2.6$\times10^{-4}$     5.5$\times10^{4}$     1.8$\times10^{5}$

$d=1.7$ kpc     0.41     200     0.316     0.19     24     39     48     139.72     32     2.5$\times10^{-4}$     4.8$\times10^{4}$     1.0$\times10^{5}$

$R_\mathrm{ap}=17.50\arcsec$     0.45     100     3.160     0.04     16     29     119     68.61     23     1.1$\times10^{-3}$     1.0$\times10^{5}$     1.2$\times10^{5}$

$R_\mathrm{ap}=0.14$ pc     0.46     120     1.000     0.08     16     29     90     88.34     25     4.5$\times10^{-4}$     7.8$\times10^{4}$     9.7$\times10^{4}$

0.47     240     0.316     0.20     48     58     86     104.17     50     2.9$\times10^{-4}$     6.7$\times10^{4}$     3.8$\times10^{5}$

Average model     #279      $164^{+92}_{-59}$     $0.963^{+1.686}_{-0.613}$     $0.10^{+0.09}_{-0.05}$     $32^{+24}_{-14}$     $63 \pm 18$     $44 \pm 39$     $78^{+50}_{-30}$     $40 \pm 12$     $5.6^{+6.1}_{-2.9}\times10^{-4}$     $5.1^{+2.5}_{-1.7}\times10^{4}$     $2.5^{+3.9}_{-1.5}\times10^{5}$

G305.20+0.21     0.15     320     0.100     0.42     64     86     13     102.12     60     1.2$\times10^{-4}$     6.2$\times10^{4}$     6.0$\times10^{5}$

$d=4.1$ kpc     0.21     60     3.160     0.03     16     39     2     31.12     32     8.4$\times10^{-4}$     5.8$\times10^{4}$     1.1$\times10^{5}$

$R_\mathrm{ap}=11.25\arcsec$     0.47     160     3.160     0.05     64     68     0     22.88     61     1.3$\times10^{-3}$     5.9$\times10^{4}$     8.6$\times10^{5}$

$R_\mathrm{ap}=0.22$ pc     0.48     100     3.160     0.04     32     48     48     36.92     42     1.2$\times10^{-3}$     1.1$\times10^{5}$     3.5$\times10^{5}$

0.53     80     3.160     0.04     24     44     45     35.12     37     1.1$\times10^{-3}$     1.0$\times10^{5}$     2.6$\times10^{5}$

Average model     #106      $213^{+142}_{-85}$     $0.299^{+0.934}_{-0.227}$     $0.20^{+0.31}_{-0.12}$     $34^{+16}_{-11}$     $64 \pm 16$     $12 \pm 15$     $108^{+124}_{-58}$     $41 \pm 11$     $2.5^{+3.7}_{-1.5}\times10^{-4}$     $6.0^{+1.7}_{-1.3}\times10^{4}$     $2.2^{+2.2}_{-1.1}\times10^{5}$

G305.20+0.21A     0.20     320     0.316     0.23     12     22     98     293.02     13     2.2$\times10^{-4}$     3.6$\times10^{4}$     4.0$\times10^{4}$

$d=4.1$ kpc     0.21     320     0.316     0.23     16     13     237     283.06     16     2.5$\times10^{-4}$     3.6$\times10^{5}$     6.1$\times10^{4}$

$R_\mathrm{ap}=10.00\arcsec$     0.22     100     3.160     0.04     12     48     58     76.73     20     9.4$\times10^{-4}$     2.9$\times10^{4}$     5.2$\times10^{4}$

$R_\mathrm{ap}=0.20$ pc     0.22     120     3.160     0.05     12     29     120     98.54     18     9.6$\times10^{-4}$     4.0$\times10^{4}$     5.2$\times10^{4}$

0.23     240     0.316     0.20     12     68     80     216.44     15     2.0$\times10^{-4}$     3.1$\times10^{4}$     4.1$\times10^{4}$

Average model     #1520      $174^{+130}_{-74}$     $0.817^{+1.364}_{-0.511}$     $0.11^{+0.11}_{-0.05}$     $25^{+24}_{-12}$     $57 \pm 22$     $168 \pm 100$     $97^{+101}_{-50}$     $33 \pm 15$     $4.6^{+4.5}_{-2.3}\times10^{-4}$     $8.1^{+25.2}_{-6.1}\times10^{4}$     $1.5^{+3.2}_{-1.0}\times10^{5}$

G49.27-0.34     1.73     480     0.100     0.51     24     22     222     417.72     21     1.4$\times10^{-4}$     2.0$\times10^{5}$     8.7$\times10^{4}$

$d=5.5$ kpc     1.90     400     0.100     0.47     24     29     192     331.01     24     1.3$\times10^{-4}$     7.0$\times10^{4}$     8.6$\times10^{4}$

$R_\mathrm{ap}=24.75\arcsec$     1.94     320     0.100     0.42     32     29     257     228.39     34     1.3$\times10^{-4}$     5.3$\times10^{5}$     1.6$\times10^{5}$

$R_\mathrm{ap}=0.67$ pc     1.96     80     3.160     0.04     16     29     237     50.01     27     9.5$\times10^{-4}$     1.8$\times10^{5}$     1.1$\times10^{5}$

1.96     240     0.316     0.20     16     22     173     205.72     20     2.3$\times10^{-4}$     1.0$\times10^{5}$     5.5$\times10^{4}$

Average model     #972      $197^{+167}_{-90}$     $0.432^{+1.018}_{-0.303}$     $0.16^{+0.22}_{-0.09}$     $26^{+24}_{-12}$     $56 \pm 21$     $163 \pm 94$     $112^{+126}_{-59}$     $35 \pm 14$     $3.0^{+3.3}_{-1.6}\times10^{-4}$     $8.5^{+27.1}_{-6.4}\times10^{4}$     $1.5^{+2.9}_{-1.0}\times10^{5}$

G339.88-1.26     2.34     200     0.316     0.19     12     80     20     172.68     17     1.9$\times10^{-4}$     2.8$\times10^{4}$     4.0$\times10^{4}$

$d=2.1$ kpc     2.38     200     0.316     0.19     24     86     73     139.72     32     2.5$\times10^{-4}$     3.7$\times10^{4}$     1.0$\times10^{5}$

$R_\mathrm{ap}=20.25\arcsec$     2.43     200     0.316     0.19     16     83     36     162.47     22     2.2$\times10^{-4}$     3.0$\times10^{4}$     5.3$\times10^{4}$

$R_\mathrm{ap}=0.21$ pc     2.50     240     0.316     0.20     48     71     134     104.17     50     2.9$\times10^{-4}$     5.5$\times10^{4}$     3.8$\times10^{5}$

2.53     240     0.316     0.20     12     86     19     216.44     15     2.0$\times10^{-4}$     3.1$\times10^{4}$     4.1$\times10^{4}$

Average model     #322      $180^{+108}_{-68}$     $0.576^{+0.764}_{-0.328}$     $0.13^{+0.11}_{-0.06}$     $22^{+20}_{-11}$     $65 \pm 16$     $74 \pm 55$     $110^{+88}_{-49}$     $31 \pm 14$     $3.5^{+2.9}_{-1.6}\times10^{-4}$     $4.0^{+1.9}_{-1.3}\times10^{4}$     $1.2^{+2.4}_{-0.8}\times10^{5}$

13cSOMA III

S235     1.09     10     3.160     0.01     2     39     0     5.65     35     1.8$\times10^{-4}$     1.4$\times10^{3}$     2.6$\times10^{3}$

$d=1.8$ kpc     2.97     50     0.316     0.09     16     80     0     7.84     68     7.1$\times10^{-5}$     1.4$\times10^{3}$     3.1$\times10^{4}$

$R_\mathrm{ap}=7.00\arcsec$     3.55     20     3.160     0.02     4     39     0     11.60     34     3.1$\times10^{-4}$     1.6$\times10^{3}$     3.3$\times10^{3}$

$R_\mathrm{ap}=0.06$ pc     5.59     60     1.000     0.06     24     89     31     4.87     71     1.9$\times10^{-4}$     2.1$\times10^{3}$     9.3$\times10^{4}$

5.76     80     1.000     0.07     32     89     33     2.70     79     1.4$\times10^{-4}$     1.6$\times10^{3}$     1.6$\times10^{5}$

Average model     #5      $30^{+33}_{-16}$     $0.794^{+2.008}_{-0.569}$     $0.05^{+0.08}_{-0.03}$     $8^{+13}_{-5}$     $64 \pm 20$     $2 \pm 4$     $8^{+2}_{-2}$     $54 \pm 16$     $1.2^{+1.2}_{-0.6}\times10^{-4}$     $1.4^{+0.1}_{-0.1}\times10^{3}$     $1.2^{+3.2}_{-0.9}\times10^{4}$

IRAS22198     6.05     10     3.160     0.01     4     62     69     1.65     56     1.9$\times10^{-4}$     2.9$\times10^{2}$     1.9$\times10^{3}$

$d=0.8$ kpc     9.05     10     1.000     0.02     2     44     51     5.33     39     7.5$\times10^{-5}$     2.6$\times10^{2}$     7.6$\times10^{2}$

$R_\mathrm{ap}=6.25\arcsec$     13.15     10     0.316     0.04     1     34     24     7.50     28     2.5$\times10^{-5}$     1.4$\times10^{2}$     2.6$\times10^{2}$

$R_\mathrm{ap}=0.02$ pc     13.23     10     0.316     0.04     0     22     38     8.75     18     1.9$\times10^{-5}$     1.7$\times10^{2}$     1.9$\times10^{2}$

13.33     10     1.000     0.02     4     74     47     1.29     59     7.7$\times10^{-5}$     1.3$\times10^{2}$     1.1$\times10^{3}$

Average model     #7      $10^{+0}_{-0}$     $2.681^{+1.461}_{-0.945}$     $0.01^{+0.00}_{-0.00}$     $4^{+1}_{-1}$     $67 \pm 13$     $41 \pm 18$     $2^{+1}_{-1}$     $54 \pm 6$     $1.7^{+0.7}_{-0.5}\times10^{-4}$     $2.1^{+0.5}_{-0.4}\times10^{2}$     $1.6^{+0.7}_{-0.5}\times10^{3}$

NGC2071     2.71     10     3.160     0.01     4     62     0     1.65     56     1.9$\times10^{-4}$     2.9$\times10^{2}$     1.9$\times10^{3}$

$d=0.4$ kpc     8.62     10     1.000     0.02     2     44     0     5.33     39     7.5$\times10^{-5}$     2.6$\times10^{2}$     7.6$\times10^{2}$

$R_\mathrm{ap}=11.50\arcsec$     13.50     10     1.000     0.02     4     65     0     1.29     59     7.7$\times10^{-5}$     1.7$\times10^{2}$     1.1$\times10^{3}$

$R_\mathrm{ap}=0.02$ pc     17.96     10     0.316     0.04     0     22     0     8.75     18     1.9$\times10^{-5}$     1.7$\times10^{2}$     1.9$\times10^{2}$

19.31     10     1.000     0.02     1     29     26     7.78     25     6.0$\times10^{-5}$     5.6$\times10^{2}$     7.7$\times10^{2}$

Average model     #2      $10^{+0}_{-0}$     $3.160^{+0.000}_{-0.000}$     $0.01^{+0.00}_{-0.00}$     $4^{+0}_{-0}$     $60 \pm 2$     $26 \pm 26$     $2^{+0}_{-0}$     $56 \pm 0$     $1.9^{+0.0}_{-0.0}\times10^{-4}$     $3.8^{+1.7}_{-1.2}\times10^{2}$     $1.9^{+0.0}_{-0.0}\times10^{3}$

CepE     2.09     10     1.000     0.02     4     89     49     1.29     59     7.7$\times10^{-5}$     1.1$\times10^{2}$     1.1$\times10^{3}$

$d=0.7$ kpc     2.35     10     0.316     0.04     2     55     4     4.96     43     3.0$\times10^{-5}$     7.2$\times10^{1}$     2.8$\times10^{2}$

$R_\mathrm{ap}=8.50\arcsec$     6.28     10     0.316     0.04     1     34     53     7.50     28     2.5$\times10^{-5}$     1.4$\times10^{2}$     2.6$\times10^{2}$

$R_\mathrm{ap}=0.03$ pc     11.84     10     0.316     0.04     0     22     84     8.75     18     1.9$\times10^{-5}$     1.7$\times10^{2}$     1.9$\times10^{2}$

12.94     10     3.160     0.01     4     55     359     1.65     56     1.9$\times10^{-4}$     1.5$\times10^{3}$     1.9$\times10^{3}$

Average model     #15      $10^{+0}_{-0}$     $0.631^{+0.501}_{-0.279}$     $0.03^{+0.01}_{-0.01}$     $3^{+1}_{-1}$     $70 \pm 11$     $47 \pm 40$     $2^{+2}_{-1}$     $53 \pm 8$     $5.3^{+3.2}_{-2.0}\times10^{-5}$     $10.0^{+4.1}_{-2.9}\times10^{1}$     $6.6^{+6.7}_{-3.3}\times10^{2}$

L1206$_\mathrm{_A}$     0.75     40     1.000     0.05     4     39     0     31.54     23     1.7$\times10^{-4}$     1.2$\times10^{3}$     2.2$\times10^{3}$

$d=0.8$ kpc     0.81     30     1.000     0.04     2     29     17     25.89     19     1.2$\times10^{-4}$     1.2$\times10^{3}$     1.7$\times10^{3}$

$R_\mathrm{ap}=6.50\arcsec$     0.93     40     1.000     0.05     2     22     67     35.79     16     1.3$\times10^{-4}$     1.6$\times10^{3}$     2.0$\times10^{3}$

$R_\mathrm{ap}=0.02$ pc     1.01     30     1.000     0.04     4     44     4     21.60     28     1.5$\times10^{-4}$     9.2$\times10^{2}$     2.0$\times10^{3}$

1.03     20     3.160     0.02     2     29     212     15.99     22     2.4$\times10^{-4}$     2.6$\times10^{3}$     3.9$\times10^{3}$

Average model     #46      $24^{+7}_{-5}$     $1.823^{+1.436}_{-0.803}$     $0.03^{+0.01}_{-0.01}$     $3^{+3}_{-2}$     $49 \pm 18$     $110 \pm 84$     $13^{+15}_{-7}$     $30 \pm 13$     $2.0^{+0.8}_{-0.6}\times10^{-4}$     $1.7^{+0.6}_{-0.4}\times10^{3}$     $4.3^{+4.0}_{-2.1}\times10^{3}$

L1206$_\mathrm{_B}$     2.18     10     0.316     0.04     4     77     32     0.63     68     2.4$\times10^{-5}$     4.9$\times10^{1}$     6.7$\times10^{2}$

$d=0.8$ kpc     4.60     30     1.000     0.04     0     13     134     29.10     8     6.0$\times10^{-5}$     1.0$\times10^{3}$     4.2$\times10^{2}$

$R_\mathrm{ap}=8.00\arcsec$     5.67     10     0.316     0.04     2     44     186     4.96     43     3.0$\times10^{-5}$     3.3$\times10^{2}$     2.8$\times10^{2}$

$R_\mathrm{ap}=0.03$ pc     6.18     20     1.000     0.03     0     13     237     19.18     10     5.4$\times10^{-5}$     1.7$\times10^{3}$     4.5$\times10^{2}$

6.39     10     0.316     0.04     1     29     246     7.50     28     2.5$\times10^{-5}$     5.3$\times10^{2}$     2.6$\times10^{2}$

Average model     #20      $10^{+0}_{-0}$     $0.316^{+0.000}_{-0.000}$     $0.04^{+0.00}_{-0.00}$     $4^{+0}_{-0}$     $57 \pm 21$     $101 \pm 57$     $1^{+0}_{-0}$     $68 \pm 0$     $2.4^{+0.0}_{-0.0}\times10^{-5}$     $3.1^{+11.4}_{-2.4}\times10^{2}$     $6.7^{+0.0}_{-0.0}\times10^{2}$

IRAS22172$_\mathrm{_mir1}$     0.15     30     0.100     0.13     1     13     73     27.26     15     1.5$\times10^{-5}$     8.7$\times10^{2}$     1.7$\times10^{2}$

$d=2.4$ kpc     0.15     60     0.100     0.18     1     13     57     57.46     10     1.8$\times10^{-5}$     6.1$\times10^{2}$     2.0$\times10^{2}$

$R_\mathrm{ap}=8.00\arcsec$     0.15     40     0.100     0.15     1     13     63     38.03     12     1.6$\times10^{-5}$     6.8$\times10^{2}$     1.7$\times10^{2}$

$R_\mathrm{ap}=0.09$ pc     0.16     30     0.100     0.13     2     22     67     24.61     23     2.0$\times10^{-5}$     8.0$\times10^{2}$     2.4$\times10^{2}$

0.16     20     0.100     0.10     4     48     47     9.85     43     2.1$\times10^{-5}$     3.4$\times10^{2}$     6.8$\times10^{2}$

Average model     #6240      $85^{+140}_{-53}$     $0.822^{+1.625}_{-0.546}$     $0.07^{+0.07}_{-0.03}$     $7^{+20}_{-5}$     $57 \pm 21$     $425 \pm 286$     $52^{+133}_{-38}$     $26 \pm 18$     $2.1^{+6.1}_{-1.6}\times10^{-4}$     $8.1^{+92.8}_{-7.5}\times10^{3}$     $1.3^{+15.2}_{-1.2}\times10^{4}$

IRAS22172$_\mathrm{_mir2}$     0.57     20     0.316     0.06     8     77     11     1.63     66     4.4$\times10^{-5}$     8.6$\times10^{2}$     9.9$\times10^{3}$

$d=2.4$ kpc     0.65     100     0.316     0.13     32     86     27     4.49     81     5.0$\times10^{-5}$     1.3$\times10^{3}$     1.4$\times10^{5}$

$R_\mathrm{ap}=26.75\arcsec$     0.66     30     0.100     0.13     8     65     28     8.93     57     2.6$\times10^{-5}$     1.2$\times10^{3}$     6.3$\times10^{3}$

$R_\mathrm{ap}=0.31$ pc     0.86     80     0.100     0.21     4     22     0     70.84     18     3.7$\times10^{-5}$     9.0$\times10^{2}$     8.5$\times10^{2}$

0.86     60     0.100     0.18     4     22     37     51.25     21     3.4$\times10^{-5}$     2.1$\times10^{3}$     8.9$\times10^{2}$

Average model     #45      $36^{+45}_{-20}$     $0.300^{+0.574}_{-0.197}$     $0.08^{+0.10}_{-0.04}$     $6^{+10}_{-4}$     $52 \pm 30$     $49 \pm 42$     $10^{+23}_{-7}$     $46 \pm 22$     $5.5^{+4.9}_{-2.6}\times10^{-5}$     $2.1^{+3.2}_{-1.3}\times10^{3}$     $5.2^{+28.5}_{-4.4}\times10^{3}$

IRAS22172$_\mathrm{_mir3}$     0.18     10     1.000     0.02     4     62     31     1.29     59     7.7$\times10^{-5}$     2.4$\times10^{2}$     1.1$\times10^{3}$

$d=2.4$ kpc     0.19     40     0.100     0.15     2     22     48     35.65     19     2.2$\times10^{-5}$     3.9$\times10^{2}$     2.7$\times10^{2}$

$R_\mathrm{ap}=7.75\arcsec$     0.21     60     0.100     0.18     2     13     134     55.43     15     2.5$\times10^{-5}$     1.7$\times10^{3}$     3.5$\times10^{2}$

$R_\mathrm{ap}=0.09$ pc     0.21     20     0.100     0.10     4     62     23     9.85     43     2.1$\times10^{-5}$     2.3$\times10^{2}$     6.8$\times10^{2}$

0.21     50     0.100     0.16     2     13     128     45.52     16     2.4$\times10^{-5}$     1.6$\times10^{3}$     3.1$\times10^{2}$

Average model     #5778      $85^{+142}_{-53}$     $0.862^{+1.744}_{-0.577}$     $0.07^{+0.06}_{-0.03}$     $7^{+20}_{-5}$     $57 \pm 21$     $381 \pm 313$     $51^{+133}_{-37}$     $27 \pm 18$     $2.3^{+6.6}_{-1.7}\times10^{-4}$     $9.4^{+102.5}_{-8.6}\times10^{3}$     $1.5^{+16.8}_{-1.4}\times10^{4}$

IRAS21391$_\mathrm{_bima2}$     0.19     10     0.316     0.04     2     48     103     4.96     43     3.0$\times10^{-5}$     9.0$\times10^{1}$     2.8$\times10^{2}$

$d=0.8$ kpc     0.55     10     0.316     0.04     0     22     117     8.75     18     1.9$\times10^{-5}$     1.7$\times10^{2}$     1.9$\times10^{2}$

$R_\mathrm{ap}=7.00\arcsec$     0.55     10     1.000     0.02     4     62     204     1.29     59     7.7$\times10^{-5}$     2.4$\times10^{2}$     1.1$\times10^{3}$

$R_\mathrm{ap}=0.03$ pc     0.58     10     0.316     0.04     1     34     102     7.50     28     2.5$\times10^{-5}$     1.4$\times10^{2}$     2.6$\times10^{2}$

0.62     10     3.160     0.01     4     86     101     1.65     56     1.9$\times10^{-4}$     1.6$\times10^{2}$     1.9$\times10^{3}$

Average model     #121      $10^{+2}_{-2}$     $0.788^{+1.275}_{-0.487}$     $0.03^{+0.02}_{-0.01}$     $2^{+2}_{-1}$     $66 \pm 18$     $96 \pm 97$     $4^{+5}_{-2}$     $39 \pm 14$     $5.7^{+8.8}_{-3.5}\times10^{-5}$     $2.0^{+3.6}_{-1.3}\times10^{2}$     $6.4^{+10.4}_{-4.0}\times10^{2}$

IRAS21391$_\mathrm{_bima3}$     0.35     10     1.000     0.02     4     62     212     1.29     59     7.7$\times10^{-5}$     2.4$\times10^{2}$     1.1$\times10^{3}$

$d=0.8$ kpc     0.36     10     1.000     0.02     2     39     295     5.33     39     7.5$\times10^{-5}$     1.0$\times10^{3}$     7.6$\times10^{2}$

$R_\mathrm{ap}=7.75\arcsec$     0.48     10     0.316     0.04     2     51     69     4.96     43     3.0$\times10^{-5}$     7.7$\times10^{1}$     2.8$\times10^{2}$

$R_\mathrm{ap}=0.03$ pc     0.49     10     0.316     0.04     0     22     120     8.75     18     1.9$\times10^{-5}$     1.7$\times10^{2}$     1.9$\times10^{2}$

0.51     10     0.316     0.04     1     34     106     7.50     28     2.5$\times10^{-5}$     1.4$\times10^{2}$     2.6$\times10^{2}$

Average model     #1809      $45^{+57}_{-25}$     $2.091^{+1.845}_{-0.980}$     $0.03^{+0.01}_{-0.01}$     $5^{+13}_{-4}$     $58 \pm 21$     $489 \pm 306$     $25^{+51}_{-17}$     $28 \pm 16$     $3.3^{+5.9}_{-2.1}\times10^{-4}$     $6.8^{+47.9}_{-6.0}\times10^{3}$     $1.2^{+8.7}_{-1.1}\times10^{4}$

IRAS21391$_\mathrm{mir48}$     0.92     10     0.316     0.04     4     89     48     0.63     68     2.4$\times10^{-5}$     2.9$\times10^{1}$     6.7$\times10^{2}$

$d=0.8$ kpc     8.25     10     0.316     0.04     2     44     235     4.96     43     3.0$\times10^{-5}$     3.3$\times10^{2}$     2.8$\times10^{2}$

$R_\mathrm{ap}=7.75\arcsec$     9.79     10     0.316     0.04     1     29     299     7.50     28     2.5$\times10^{-5}$     5.3$\times10^{2}$     2.6$\times10^{2}$

$R_\mathrm{ap}=0.03$ pc     10.03     20     3.160     0.02     0     13     334     19.18     9     1.3$\times10^{-4}$     2.8$\times10^{3}$     8.6$\times10^{2}$

10.04     10     3.160     0.01     4     89     192     1.65     56     1.9$\times10^{-4}$     1.6$\times10^{2}$     1.9$\times10^{3}$

Average model     #4      $10^{+0}_{-0}$     $0.316^{+0.000}_{-0.000}$     $0.04^{+0.00}_{-0.00}$     $4^{+0}_{-0}$     $84 \pm 3$     $60 \pm 11$     $1^{+0}_{-0}$     $68 \pm 0$     $2.4^{+0.0}_{-0.0}\times10^{-5}$     $3.3^{+0.5}_{-0.5}\times10^{1}$     $6.7^{+0.0}_{-0.0}\times10^{2}$

For each source the first five rows refer to the best five models taken from the 432 physical models, whereas the sixth row shows the average and dispersion of good model fits (see the text). The number next to the symbol # represents the number of models considered in the average of the good models. Upper and lower scripts in the average models row refer to the upper and lower errors.

§.§ SOMA I New SED fit

We revisited the measurement and error estimation for the SOMA I sources <cit.> as well as refit their SEDs. Figures <ref> and <ref> show the revisited results.

SOMA I sources reanalyzed with sedcreator. Protostar model fitting to the fixed aperture, background-subtracted SED data using the ZT model grid. For each source (noted on top of each plot), the best fitting protostar model is shown with a black line, while all other good model fits (see the text) are shown with colored lines (red to blue with increasing $\chi^2$). Flux values are those from Table <ref>. Note that the data at $\lesssim8\,{\rm \mu m}$ are treated as upper limits (see the text). The resulting model parameters are listed in Table <ref>.

Diagrams of $\chi^{2}$ distribution in $\Sigma_{\rm cl}$ - $M_{c}$ space (left), $m_{*}$ - $M_{\rm c}$ space (center) and $m_{*}$ - $\Sigma_{\rm  cl}$ space (right) for each source noted on top of each plot. The black cross is the best model.

§.§ SOMA II New SED fit

We revisited the measurement and error estimation for the SOMA II sources <cit.> as well as refit their SEDs. Figures <ref> and <ref> show the revisited results.

SOMA II sources reanalyzed with sedcreator. Protostar model fitting to the fixed aperture, background-subtracted SED data using the ZT model grid. For each source (noted on top of each plot), the best fitting protostar model is shown with a black line, while all other good model fits (see the text) are shown with colored lines (red to blue with increasing $\chi^2$). Flux values are those from Table <ref>. Note that the data at $\lesssim8\,{\rm \mu m}$ are treated as upper limits (see the text). The resulting model parameters are listed in Table <ref>.

Diagrams of $\chi^{2}$ distribution in $\Sigma_{\rm cl}$ - $M_{c}$ space (left), $m_{*}$ - $M_{\rm c}$ space (center) and $m_{*}$ - $\Sigma_{\rm  cl}$ space (right) for each source noted on top of each plot. The black cross is the best model.

§.§ SOMA III New SED fit

We revisited the measurement and error estimation for the SOMA I sources <cit.> as well as refit their SEDs. Figures <ref> and <ref> show the revisited results.

SOMA III sources reanalyzed with sedcreator. Protostar model fitting to the fixed aperture, background-subtracted SED data using the ZT model grid. For each source (noted on top of each plot), the best fitting protostar model is shown with a black line, while all other good model fits (see the text) are shown with colored lines (red to blue with increasing $\chi^2$). Flux values are those from Table <ref>. Note that the data at $\lesssim8\,{\rm \mu m}$ are treated as upper limits (see the text). The resulting model parameters are listed in Table <ref>.

Diagrams of $\chi^{2}$ distribution in $\Sigma_{\rm cl}$ - $M_{c}$ space (left), $m_{*}$ - $M_{\rm c}$ space (center) and $m_{*}$ - $\Sigma_{\rm  cl}$ space (right) for each source noted on top of each plot. The black cross is the best model.