The Deep Extragalactic Evolutionary Probe 2 (DEEP2) project will obtain red
shifts for similar to 60,000 galaxies in the range z similar or equal to 0.
7-1.5 in a comoving volume of roughly 7 x 10(6) Mpc(3) h(-3) for a Lambda c
old dark matter universe. The survey will map four separate 2 degrees x 0.d
egrees5 strips of the sky. To study the expected clustering within the surv
ey volume, we have constructed mock galaxy catalogs from the GIF and Hubble
Volume simulations developed by the Virgo consortium. We present two- and
three-point correlation analyses of these mock galaxy catalogs to test how
well we will measure these statistics, particularly in the presence of sele
ction biases, which will limit the surface density of galaxies that we can
select for spectroscopy. We find that although the projected angular two-po
int correlation function w(theta) is strongly affected, neither the two- po
int nor three-point correlation functions, xi (r) and zeta (r), are signifi
cantly compromised. We will be able to make simple corrections to account f
or the small amount of bias introduced. We quantify the expected redshift d
istortions due to random orbital velocities of galaxies within groups and c
lusters ("fingers of God") on small scales of similar to1 Mpc h(-1) using t
he pairwise velocity dispersion sigma (12) and galaxy-weighted velocity dis
persion sigma (1). We are able to measure sigma (1) to a precision of simil
ar to 10%. We also estimate the expected large-scale coherent infall of gal
axies due to supercluster formation ("Kaiser effect"), as determined by the
quadrupole-to-monopole ratio xi (2)/xi (0) of xi (r(p), pi). From this mea
sure we will be able to constrain beta to within similar to0.1 at z = 1.
For the DEEP2 survey we will combine the correlation statistics with galaxy
observables such as spectral type, morphology, absolute luminosity, and li
ne width to enable a measure of the relative biases in different galaxy typ
es. Here we use a counts-in-cells analysis to measure sigma (8) as a functi
on of redshift and determine the relative bias between galaxy samples based
on absolute luminosity. We expect to measure sigma (8) to within 10% and d
etect the evolution of relative bias with redshift at the 4-5 sigma level,
with more precise measurements for the brighter galaxies in our survey.