We investigate the nature of the scaling relations between the surface
density of star formation rate (ΣSFR), stellar mass (Σ∗), and molecular gas mass (ΣH2), aiming at distinguishing
between the relations that are primary, i.e. more fundamental, and those which
are instead an indirect by-product of the other relations. We use the ALMaQUEST
survey and analyse the data by using both partial correlations and Random
Forest regression techniques. We unambiguously find that the strongest
intrinsic correlation is between ΣSFR and ΣH2
(i.e. the resolved Schmidt-Kennicutt relation), followed by the correlation
between ΣH2 and Σ∗ (resolved Molecular Gas Main
Sequence, rMGMS). Once these two correlations are taken into account, we find
that there is no evidence for any intrinsic correlation between ΣSFR and Σ∗, implying that SFR is entirely driven by the amount of
molecular gas, while its dependence on stellar mass (i.e. the resolved Star
Forming Main Sequence, rSFMS) simply emerges as a consequence of the
relationship between molecular gas and stellar mass.Science and Technology Facilities Council (STFC).
ERC Advanced Grant 695671 "QUENCH"