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We infer mechanisms of galaxy formation for a broad family of semi-analyticmodels (SAMs) constrained by the K-band luminosity function and HI massfunction of local galaxies using tools of Bayesian analysis. Even with a broadsearch in parameter space the whole model family fails to match to constrainingdata. In the best fitting models, the star formation and feedback parameters inlow-mass haloes are tightly constrained by the two data sets, and the analysisreveals several generic failures of models that similarly apply to otherexisting SAMs. First, based on the assumption that baryon accretion follows thedark matter accretion, large mass-loading factors are required for haloes withcircular velocities lower than 200 km/s, and most of the wind mass must beexpelled from the haloes. Second, assuming that the feedback is powered byType-II supernovae with a Chabrier IMF, the outflow requires more than 25% ofthe available SN kinetic energy. Finally, the posterior predictivedistributions for the star formation history are dramatically inconsistent withobservations for masses similar to or smaller than the Milky-Way mass. Theinferences suggest that the current model family is still missing some keyphysical processes that regulate the gas accretion and star formation ingalaxies with masses below that of the Milky Way.

Bayesian inferences of galaxy formation from the K-band luminosity and HI mass functions of galaxies: constraining star formation and feedback