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We investigate the impact of feedback - from supernovae (SNe), activegalactic nuclei (AGN) and a photo-ionizing background at high redshifts - onthe neutral atomic hydrogen (HI) mass function, the $b_{\rm J}$ band luminosityfunction, and the spatial clustering of these galaxies at $z$=0. We use aversion of the semi-analytical galaxy formation model GALFORM that calculatesself-consistently the amount of HI in a galaxy as a function of cosmic time andlinks its star formation rate to its mass of molecular hydrogen (H$_2$). Wefind that a systematic increase or decrease in the strength of SNe feedbackleads to a systematic decrease or increase in the amplitudes of the luminosityand HI mass functions, but has little influence on their overall shapes.Varying the strength of AGN feedback influences only the numbers of thebrightest or most HI massive galaxies, while the impact of varying the strengthof photo-ionization feedback is restricted to changing the numbers of thefaintest or least HI massive galaxies.Our results suggest that the HI massfunction is a more sensitive probe of the consequences of cosmologicalreionization for galaxy formation than the luminosity function. We find thatincreasing the strength of any of the modes of feedback acts to weaken theclustering strength of galaxies, regardless of their HI-richness. In contrast,weaker AGN feedback has little effect on the clustering strength whereas weakerSNe feedback increases the clustering strength of HI-poor galaxies morestrongly than HI-rich galaxies. These results indicate that forthcoming HIsurveys on next generation radio telescopes such as the Square Kilometre Arrayand its pathfinders will be exploited most fruitfully as part ofmultiwavelength survey campaigns.

On the role of feedback in shaping the cosmic abundance and clustering of neutral atomic hydrogen in galaxies