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Fig. E.1

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BIC as function of σM0${\sigma _{{M_0}}}$ in a range σM0[0,0.43]${\sigma _{{M_0}}} \in [0,0.43]$ dex. The BIC is obtained for Eq. (11) (in red) and Eq. (12) (in black) from the fit to the *MD plane obtained for different values of σM0${\sigma _{{M_0}}}$, while the simulated disk populations have the same set of parameters described in Fig. 8.

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