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We study the properties of star-forming galaxies selected at 610 MHz with theGMRT in a survey covering $\sim$1.86 deg$^2$ down to a noise of$\sim$7.1\,$\mu$Jy / beam. These were identified by combining multipleclassification diagnostics: optical, X-ray, infrared and radio data.  Of the 1685 SFGs from the GMRT sample, 496 have spectroscopic redshiftswhereas 1189 have photometric redshifts. We find that the IRRC of star-forminggalaxies, quantified by the infrared-to-1.4 GHz radio luminosity ratio$\rm{q_{IR}}$, decreases with increasing redshift:$\rm{q_{IR}\,=\,2.86\pm0.04(1\,+\,z)^{-0.20\pm0.02}}$ out to $z \sim 1.8$. Weuse the $\rm{V/V_{max}}$ statistic to quantify the evolution of the co-movingspace density of the SFG sample. Averaged over luminosity our results indicate$\rm{\langle V/V_{max} \rangle}$ to be $\rm{0.51\,\pm\, 0.06}$, which isconsistent with no evolution in overall space density. However we find $\rmV/V_{max}$ to be a function of radio luminosity, indicating strong luminosityevolution with redshift.  We explore the evolution of the SFGs radio luminosity function by separatingthe source into five redshift bins and comparing to theoretical modelpredictions. We find a strong redshift trend that can be fitted with a pureluminosity evolution of the form$\rm{L_{610\,MHz}\,\propto\,(\,1+\,z)^{(2.95\pm0.19)-(0.50\pm0.15)z}}$. Wecalculate the cosmic SFR density since $\rm{z \sim 1.5}$ by integrating theparametric fits of the evolved 610\,MHz luminosity function. Our samplereproduces the expected steep decline in the star formation rate density since$\rm{z\,\sim\,1}$.

Cosmic evolution of star-forming galaxies to $z \simeq 1.8$ in the faint low-frequency radio source population