We present the bivariate brightness distribution (BBD) for the 2dF Galaxy R
edshift Survey (2dFGRS) based on a preliminary subsample of 45 000 galaxies
. The BBD is an extension of the galaxy luminosity function, incorporating
surface brightness information. It allows the measurement of the local lumi
nosity density, j(B), and of the galaxy luminosity and surface brightness d
istributions, while accounting for surface brightness selection biases.
The recovered 2dFGRS BBD shows a strong luminosity-surface brightness relat
ion [M(B)proportional to (2.4-(+1.5)(0.5))mu (e)], providing a new constrai
nt for galaxy formation models. In terms of the number density, we find tha
t the peak of the galaxy population lies at M(B)greater than or equal to -1
6.0 mag. Within the well-defined selection limits (-24 <M-B< -16.0 mag, 18.
0 < mu (e)< 24.5 mag arcsec(-2)) the contribution towards the luminosity de
nsity is dominated by conventional giant galaxies (i.e., 90 per cent of the
luminosity density is contained within -22.5 <M < -17.5, 18.0 < mu (e)< 23
.0). The luminosity-density peak lies away from the selection boundaries, i
mplying that the 2dFGRS is complete in terms of sampling the local luminosi
ty density, and that luminous low surface brightness galaxies are rare. The
final value we derive for the local luminosity density, inclusive of surfa
ce brightness corrections, is j(B)=2.49+/-0.20x10(8) h(100) L. Mpc(-3). Rep
resentative Schechter function parameters are M* = -19.75+/-0.05, phi* = 2.
02+/-0.02x10(-2) and alpha = -1.09+/-0.03. Finally, we note that extending
the conventional methodology to incorporate surface brightness selection ef
fects has resulted in an increase in the luminosity density of similar to 3
7 per cent. Hence surface brightness selection effects would appear to expl
ain much of the discrepancy between previous estimates of the local luminos
ity density.