We present an approach for comparing the detections and non-detections of Local Group (LG) dwarf galaxies in large HI surveys to the predictions of a suite of n-body simulations of the LG. This approach depends primarily on a set of empirical scaling relations to connect the simulations to the observations, rather than making strong theoretical assumptions. We then apply this methodology to the Galactic Arecibo L-band Feed Array HI Compact Cloud Catalog (GALFA-HI CCC), and compare it to the ELVIS suite of simulations. This approach reveals a strong tension between the na"ive results of the model and the observations: while there are no LG dwarfs in the GALFA-HI CCC, the simulations predict . Applying a simple model of reionization can resolve this tension by preventing low-mass halos from forming gas. However, and if this effect operates as expected, the observations provide a constraint on the mass scale of dwarf galaxy that reionization impacts. Combined with the observed properties of Leo T, the halo virial mass scale at which reionization impacts dwarf galaxy gas content is constrained to be , independent of any assumptions about star formation.

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