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tokens: M.T. and L.T. acknowledge support by the DFG cluster of excellence Origin and Structure of the Universe ( www.universe-cluster.de ). This work has been supported by the DISCSIM project, grant agreement 341137 funded by the European Research Council under ERC-2013-ADG. M.T. and L.T. thank Eva Wirström, the Gothenburg Centre for Advanced Studies in Science and Technology and the participants of the workshop Origins of Habitable Planets hosted at Chalmers (Gothenburg) in June 2016 where considerable part of this work was fruitfully discussed. M.T. is grateful to Cathie Clarke for insightful discussions. The fits have been carried out on the computing facilities of the Computational Center for Particle and Astrophysics (C2PAP) as part of the approved project “Dust evolution in protoplanetary disks”. M.T. acknowledges usage of the Max Planck Gesellschaft Hydra computing cluster for code testing, for which is grateful to Paola Caselli. Figures have been generated using the Python-based matplotlib package ( Hunter 2007 ). Staircase plots of PDFs have been generated with a user-modified version of the Python-based triangle package ( Foreman-Mackey et al. 2014 ). This research has made use of the SIMBAD database, operated at CDS, Strasbourg, France. This work was partly supported by the Italian Ministero dell’ Istruzione, Università e Ricerca through the grant Progetti Premiali 2012 – iALMA (CUP C52I13000140001). A.N. acknowledges funding from Science Foundation Ireland (Grant 13/ERC/I2907). C.F.M. acknowledges an ESA Research Fellowship. This paper makes use of the following ALMA data: ADS/JAO.ALMA#2013.1.00220.S, ADS/JAO.ALMA#2013.1.00226.S. ALMA is a partnership of ESO (representing its member states), NSF (USA) and NINS (Japan), together with NRC (Canada), NSC and ASIAA (Taiwan), and KASI (Republic of Korea), in cooperation with the Republic of Chile. The Joint ALMA Observatory is operated by ESO, AUI/NRAO and NAOJ