Galaxy Correlation Statistics of Mock Catalogs for the DEEP2 Survey

The DEEP2 project will obtain redshifts for ~60,000 galaxies betweenz~0.7-1.5 in a comoving volume of 7 10^6 Mpc/h^3 for an LCDM universe. Thesurvey will map four separate 2 by 0.5 degree strips of the sky. To study theexpected clustering, we have constructed mock galaxy catalogs from the GIFVirgo Consortium simulations. We present two- and three-point correlationanalyses of these mock galaxy catalogs to test how well we will measure thesestatistics in the presence of selection biases which will limit the surfacedensity of galaxies which we can select for spectroscopy. We find that neitherthe two-point nor three-point correlation functions are significantlycompromised. We will be able to make simple corrections to account for thesmall amount of bias introduced. We quantify the expected redshift distortionsdue to random orbital velocities of galaxies within groups and clusters onsmall scales of ~1 Mpc/h using the pairwise velocity dispersion sigma_12 andgalaxy-weighted velocity dispersion sigma_1, which we are able to measurewithin ~10%. We also estimate the expected large-scale coherent infall ofgalaxies due to supercluster formation (``Kaiser effect''). From this measurewe will be able to constrain beta to within ~0.1 at z=1. For the DEEP2 surveywe will combine the correlation statistics with galaxy observables such asspectral type, morphology, absolute luminosity, and linewidth to measure therelative biases in different galaxy types. Here we use a counts-in-cellsanalysis to measure sigma_8 as a function of redshift and determine therelative bias between galaxy samples based on absolute luminosity. We expect tomeasure sigma_8 to within 10% and detect the evolution of relative bias withredshift at the 4-5 sigma level.Comment: 14 pages, 13 figures, to be published in PAS