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SubHalo Abundance Matching (SHAM) assumes that one (sub)halo property, suchas mass Mvir or peak circular velocity Vpeak, determines properties of thegalaxy hosted in each (sub)halo such as its luminosity or stellar mass. Thisassumption implies that the dependence of Galaxy Luminosity Functions (GLFs)and the Galaxy Stellar Mass Function (GSMF) on environmental density isdetermined by the corresponding halo density dependence. In this paper, we testthis by determining from an SDSS sample the observed dependence withenvironmental density of the ugriz GLFs and GSMF for all galaxies, and forcentral and satellite galaxies separately. We then show that the SHAMpredictions are in remarkable agreement with these observations, even when thegalaxy population is divided between central and satellite galaxies. However,we show that SHAM fails to reproduce the correct dependence betweenenvironmental density and g-r color for all galaxies and central galaxies,although it better reproduces the color dependence on environmental density ofsatellite galaxies.

Does the Galaxy-Halo Connection Vary with Environment?