The radio luminosity density of star-burst galaxies and co-moving star formation rate

We present a new determination of the co-moving star formation density at redshifts z~<0.35 from the 1.4 GHz luminosity function of sub-mJy star-burst galaxies. Our sample, taken from Benn et al. (1993), is insensitive to dust obscuration. The shape of the Luminosity function of this sample is indistinguishable from a number of reasonable a prior models of the luminosity function. Using these shapes we calculate the modest corrections (typically ~< 20 per cent to the observed 1.4 GHz luminosity density. We find that the cosmic variance in our estimate of this luminosity density is large. We find a luminosity density in broad agreement with that from the RSA sample by Condon et al. (1987). We infer a co-moving star formation rate surprisingly similar to coeval estimates from the Canada-France Redshift Survey, in both ultraviolet and Halpha, although the later may also be affected by Cosmic variance. We conclude that the intermediate 0.05<z<0.3 star-formation rate is not yet well determined partially due to uncertain extinction corrections, but also partially due to cosmic variance. We suggest that deep moderate area radio surveys will improve this situation considerably.