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Table C.1

Correlations between surviving disk and stellar properties at different ages of disk evolution considering the IMF.

x y Time (Myr) r α β
log10 R12CO,90% (AU) log10 Mgas (M⊙) 1 0.601−0.011+0.012Mathematical equation: $\[0.601_{-0.011}^{+0.012}\]$ 1.737−0.038+0.039Mathematical equation: $\[1.737_{-0.038}^{+0.039}\]$ −5.879−0.068+0.068Mathematical equation: $\[-5.879_{-0.068}^{+0.068}\]$
3 0.613−0.013+0.013Mathematical equation: $\[0.613_{-0.013}^{+0.013}\]$ 1.596−0.041+0.042Mathematical equation: $\[1.596_{-0.041}^{+0.042}\]$ −5.644−0.075+0.072Mathematical equation: $\[-5.644_{-0.075}^{+0.072}\]$
5 0.624−0.013+0.014Mathematical equation: $\[0.624_{-0.013}^{+0.014}\]$ 1.576−0.044+0.042Mathematical equation: $\[1.576_{-0.044}^{+0.042}\]$ −5.622−0.077+0.078Mathematical equation: $\[-5.622_{-0.077}^{+0.078}\]$
10 0.624−0.016+0.016Mathematical equation: $\[0.624_{-0.016}^{+0.016}\]$ 1.500−0.047+0.048Mathematical equation: $\[1.500_{-0.047}^{+0.048}\]$ −5.494−0.088+0.086Mathematical equation: $\[-5.494_{-0.088}^{+0.086}\]$
log10 M⋆ (M⊙) log10 Mgas (M⊙) 1 0.524−0.012+0.012Mathematical equation: $\[0.524_{-0.012}^{+0.012}\]$ 1.332−0.035+0.037Mathematical equation: $\[1.332_{-0.035}^{+0.037}\]$ −1.851−0.031+0.031Mathematical equation: $\[-1.851_{-0.031}^{+0.031}\]$
3 0.540−0.014+0.014Mathematical equation: $\[0.540_{-0.014}^{+0.014}\]$ 1.285−0.040+0.039Mathematical equation: $\[1.285_{-0.040}^{+0.039}\]$ −1.941−0.033+0.032Mathematical equation: $\[-1.941_{-0.033}^{+0.032}\]$
5 0.553−0.015+0.015Mathematical equation: $\[0.553_{-0.015}^{+0.015}\]$ 1.288−0.042+0.042Mathematical equation: $\[1.288_{-0.042}^{+0.042}\]$ −1.970−0.034+0.033Mathematical equation: $\[-1.970_{-0.034}^{+0.033}\]$
10 0.560−0.017+0.017Mathematical equation: $\[0.560_{-0.017}^{+0.017}\]$ 1.239−0.045+0.047Mathematical equation: $\[1.239_{-0.045}^{+0.047}\]$ −2.022−0.036+0.035Mathematical equation: $\[-2.022_{-0.036}^{+0.035}\]$
log10 M⋆ (M⊙) log10 ϵ (= Mgas/M⋆) 1 0.152−0.017+0.016Mathematical equation: $\[0.152_{-0.017}^{+0.016}\]$ 0.332−0.036+0.035Mathematical equation: $\[0.332_{-0.036}^{+0.035}\]$ −1.851−0.032+0.030Mathematical equation: $\[-1.851_{-0.032}^{+0.030}\]$
3 0.141−0.019+0.018Mathematical equation: $\[0.141_{-0.019}^{+0.018}\]$ 0.285−0.039+0.038Mathematical equation: $\[0.285_{-0.039}^{+0.038}\]$ −1.941−0.033+0.031Mathematical equation: $\[-1.941_{-0.033}^{+0.031}\]$
5 0.147−0.021+0.022Mathematical equation: $\[0.147_{-0.021}^{+0.022}\]$ 0.289−0.043+0.043Mathematical equation: $\[0.289_{-0.043}^{+0.043}\]$ −1.970−0.033+0.035Mathematical equation: $\[-1.970_{-0.033}^{+0.035}\]$
10 0.130−0.025+0.025Mathematical equation: $\[0.130_{-0.025}^{+0.025}\]$ 0.240−0.046+0.047Mathematical equation: $\[0.240_{-0.046}^{+0.047}\]$ −2.022−0.036+0.036Mathematical equation: $\[-2.022_{-0.036}^{+0.036}\]$
log10 FUV (G0) log10 Mgas (M⊙) 1 0.026−0.017+0.017Mathematical equation: $\[0.026_{-0.017}^{+0.017}\]$ 0.055−0.036+0.035Mathematical equation: $\[0.055_{-0.036}^{+0.035}\]$ −2.940−0.044+0.045Mathematical equation: $\[-2.940_{-0.044}^{+0.045}\]$
3 0.040−0.019+0.019Mathematical equation: $\[0.040_{-0.019}^{+0.019}\]$ 0.087−0.042+0.043Mathematical equation: $\[0.087_{-0.042}^{+0.043}\]$ −2.955−0.053+0.053Mathematical equation: $\[-2.955_{-0.053}^{+0.053}\]$
5 0.045−0.022+0.023Mathematical equation: $\[0.045_{-0.022}^{+0.023}\]$ 0.102−0.050+0.051Mathematical equation: $\[0.102_{-0.050}^{+0.051}\]$ −2.962−0.061+0.061Mathematical equation: $\[-2.962_{-0.061}^{+0.061}\]$
10 0.100−0.026+0.025Mathematical equation: $\[0.100_{-0.026}^{+0.025}\]$ 0.223−0.058+0.057Mathematical equation: $\[0.223_{-0.058}^{+0.057}\]$ −3.043−0.067+0.070Mathematical equation: $\[-3.043_{-0.067}^{+0.070}\]$
log10 M⋆ (M⊙) log10 R12CO,90% (AU) 1 0.920−0.003+0.003Mathematical equation: $\[0.920_{-0.003}^{+0.003}\]$ 0.810−0.006+0.005Mathematical equation: $\[0.810_{-0.006}^{+0.005}\]$ 2.351−0.005+0.005Mathematical equation: $\[2.351_{-0.005}^{+0.005}\]$
3 0.934−0.003+0.002Mathematical equation: $\[0.934_{-0.003}^{+0.002}\]$ 0.853−0.006+0.007Mathematical equation: $\[0.853_{-0.006}^{+0.007}\]$ 2.355−0.005+0.005Mathematical equation: $\[2.355_{-0.005}^{+0.005}\]$
5 0.940−0.003+0.002Mathematical equation: $\[0.940_{-0.003}^{+0.002}\]$ 0.867−0.006+0.007Mathematical equation: $\[0.867_{-0.006}^{+0.007}\]$ 2.353−0.006+0.005Mathematical equation: $\[2.353_{-0.006}^{+0.005}\]$
10 0.945−0.003+0.002Mathematical equation: $\[0.945_{-0.003}^{+0.002}\]$ 0.871−0.007+0.008Mathematical equation: $\[0.871_{-0.007}^{+0.008}\]$ 2.343−0.006+0.006Mathematical equation: $\[2.343_{-0.006}^{+0.006}\]$
log10 FUV (G0) log10 R12CO,90% (AU) 1 −0.208−0.016+0.016Mathematical equation: $\[-0.208_{-0.016}^{+0.016}\]$ −0.153−0.012+0.012Mathematical equation: $\[-0.153_{-0.012}^{+0.012}\]$ 1.906−0.015+0.015Mathematical equation: $\[1.906_{-0.015}^{+0.015}\]$
3 −0.173−0.019+0.020Mathematical equation: $\[-0.173_{-0.019}^{+0.020}\]$ −0.145−0.016+0.016Mathematical equation: $\[-0.145_{-0.016}^{+0.016}\]$ 1.914−0.020+0.020Mathematical equation: $\[1.914_{-0.020}^{+0.020}\]$
5 −0.151−0.021+0.022Mathematical equation: $\[-0.151_{-0.021}^{+0.022}\]$ −0.135−0.019+0.019Mathematical equation: $\[-0.135_{-0.019}^{+0.019}\]$ 1.915−0.023+0.024Mathematical equation: $\[1.915_{-0.023}^{+0.024}\]$
10 −0.093−0.025+0.025Mathematical equation: $\[-0.093_{-0.025}^{+0.025}\]$ −0.087−0.023+0.024Mathematical equation: $\[-0.087_{-0.023}^{+0.024}\]$ 1.897−0.028+0.029Mathematical equation: $\[1.897_{-0.028}^{+0.029}\]$
log10 M⋆ (M⊙) log10 FUV (G0) 1 0.079−0.017+0.016Mathematical equation: $\[0.079_{-0.017}^{+0.016}\]$ 0.095−0.020+0.019Mathematical equation: $\[0.095_{-0.020}^{+0.019}\]$ 1.236−0.017+0.017Mathematical equation: $\[1.236_{-0.017}^{+0.017}\]$
3 0.096−0.019+0.019Mathematical equation: $\[0.096_{-0.019}^{+0.019}\]$ 0.105−0.021+0.021Mathematical equation: $\[0.105_{-0.021}^{+0.021}\]$ 1.218−0.018+0.017Mathematical equation: $\[1.218_{-0.018}^{+0.017}\]$
5 0.108−0.021+0.022Mathematical equation: $\[0.108_{-0.021}^{+0.022}\]$ 0.112−0.022+0.022Mathematical equation: $\[0.112_{-0.022}^{+0.022}\]$ 1.211−0.018+0.018Mathematical equation: $\[1.211_{-0.018}^{+0.018}\]$
10 0.157−0.024+0.025Mathematical equation: $\[0.157_{-0.024}^{+0.025}\]$ 0.156−0.025+0.025Mathematical equation: $\[0.156_{-0.025}^{+0.025}\]$ 1.213−0.019+0.019Mathematical equation: $\[1.213_{-0.019}^{+0.019}\]$
log10 M⋆ (M⊙) log10 Rc (AU) 1 0.094−0.016+0.017Mathematical equation: $\[0.094_{-0.016}^{+0.017}\]$ 0.089−0.016+0.015Mathematical equation: $\[0.089_{-0.016}^{+0.015}\]$ 1.652−0.013+0.014Mathematical equation: $\[1.652_{-0.013}^{+0.014}\]$
3 0.156−0.020+0.019Mathematical equation: $\[0.156_{-0.020}^{+0.019}\]$ 0.130−0.016+0.017Mathematical equation: $\[0.130_{-0.016}^{+0.017}\]$ 1.652−0.014+0.013Mathematical equation: $\[1.652_{-0.014}^{+0.013}\]$
5 0.206−0.021+0.021Mathematical equation: $\[0.206_{-0.021}^{+0.021}\]$ 0.165−0.017+0.017Mathematical equation: $\[0.165_{-0.017}^{+0.017}\]$ 1.654−0.013+0.014Mathematical equation: $\[1.654_{-0.013}^{+0.014}\]$
10 0.255−0.024+0.024Mathematical equation: $\[0.255_{-0.024}^{+0.024}\]$ 0.195−0.019+0.019Mathematical equation: $\[0.195_{-0.019}^{+0.019}\]$ 1.651−0.014+0.015Mathematical equation: $\[1.651_{-0.014}^{+0.015}\]$
log10 M⋆ (M⊙) log10 α 1 0.246−0.016+0.015Mathematical equation: $\[0.246_{-0.016}^{+0.015}\]$ 0.465−0.031+0.030Mathematical equation: $\[0.465_{-0.031}^{+0.030}\]$ −3.474−0.026+0.026Mathematical equation: $\[-3.474_{-0.026}^{+0.026}\]$
3 0.408−0.017+0.017Mathematical equation: $\[0.408_{-0.017}^{+0.017}\]$ 0.638−0.028+0.028Mathematical equation: $\[0.638_{-0.028}^{+0.028}\]$ −3.587−0.024+0.023Mathematical equation: $\[-3.587_{-0.024}^{+0.023}\]$
5 0.461−0.018+0.016Mathematical equation: $\[0.461_{-0.018}^{+0.016}\]$ 0.655−0.027+0.027Mathematical equation: $\[0.655_{-0.027}^{+0.027}\]$ −3.691−0.021+0.023Mathematical equation: $\[-3.691_{-0.021}^{+0.023}\]$
10 0.522−0.018+0.018Mathematical equation: $\[0.522_{-0.018}^{+0.018}\]$ 0.653−0.027+0.027Mathematical equation: $\[0.653_{-0.027}^{+0.027}\]$ −3.848−0.021+0.020Mathematical equation: $\[-3.848_{-0.021}^{+0.020}\]$

Notes. Summary of the correlations and fits among different disk and stellar properties at 1, 3, 5 and 10 Myr using linmix (Kelly 2007). The fitting function is y = αx + β. And r represents the Pearson correlation coefficient. The median and 1σ interval are listed. As we do not apply any uncertainty to our simulations, the resulting 1σ credible intervals are correspondingly narrow.

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