Galaxy And Mass Assembly (GAMA): Bivariate functions of H$\alpha$ star
  forming galaxies
  We present bivariate luminosity and stellar mass functions of H$\alpha$ star
forming galaxies drawn from the Galaxy And Mass Assembly (GAMA) survey. While
optically deep spectroscopic observations of GAMA over a wide sky area enable
the detection of a large number of $0.001<{SFR}_{H\alpha}$ (M$_{\odot}$
yr$^{-1}$)$<100$ galaxies, the requirement for an H$\alpha$ detection in
targets selected from an $r$-band magnitude limited survey leads to an
incompleteness due to missing optically faint star forming galaxies. Using
$z<0.1$ bivariate distributions as a reference we model the higher-$z$
distributions, thereby approximating a correction for the missing optically
faint star forming galaxies to the local SFR and stellar mass densities.
Furthermore, we obtain the $r$-band LFs and stellar mass functions of H$\alpha$
star forming galaxies from the bivariate LFs. As our sample is selected on the
basis of detected H$\alpha$ emission, a direct tracer of on-going star
formation, this sample represents a true star forming galaxy sample, and is
drawn from both photometrically classified blue and red sub-populations, though
mostly from the blue population. On average 20-30% of red galaxies at all
stellar masses are star forming, implying that these galaxies may be dusty star
forming systems.
