Cosmic evolution of star-forming galaxies to z similar or equal to 1.8 in the faint low-frequency radio source population

We study the properties of star-forming galaxies selected at 610 MHz with the GMRT in a survey covering similar to 1.86 deg(2) down to a noise of similar to 7.1 mu Jy beam(-1). These were identified by combining multiple classification diagnostics: optical, X-ray, infrared, and radio data. Of the 1685 SFGs from the GMRT sample, 496 have spectroscopic redshifts whereas 1189 have photometric redshifts. We find that the IRRC of star-forming galaxies, quantified by the infrared-to-1.4 GHz radio luminosity ratio qIR, decreases with increasing redshift: q(IR) = 2.86 +/- 0.04(1 + z)(-0.20 +/- 0.02) out to z similar to 1.8. We use the V/V-max statistic to quantify the evolution of the comoving space density of the SFG sample. Averaged over luminosity our results indicate < V/V-max > to be 0.51 +/- 0.06, which is consistent with no evolution in overall space density. However, we find V/V-max to be a function of radio luminosity, indicating strong luminosity evolution with redshift. We explore the evolution of the SFGs radio luminosity function by separating the source into five redshift bins and comparing to theoretical model predictions. We find a strong redshift trend that can be fittedwith a pure luminosity evolution of the form L-610MHz alpha ( 1 + z)((2.95 +/- 0.19)-(0.50 +/- 0.15)z). We calculate the cosmic SFR density since z similar to 1.5 by integrating the parametric fits of the evolved 610MHz luminosity function. Our sample reproduces the expected steep decline in the star formation rate density since z similar to 1.