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We perform automated bulge + disc decomposition on a sample of $\sim$7500galaxies from the Galaxy And Mass Assembly (GAMA) survey in the redshift rangeof 0.002$<$z$<$0.06 using SIGMA, a wrapper around GALFIT3. To achieve robustprofile measurements we use a novel approach of repeatedly fitting thegalaxies, varying the input parameters to sample a large fraction of the inputparameter space. Using this method we reduce the catastrophic failure ratesignificantly and verify the confidence in the fit independently of $\chi^2$.Additionally, using the median of the final fitting values and the 16$^{th}$and 84$^{th}$ percentile produces more realistic error estimates than thoseprovided by GALFIT, which are known to be underestimated. We use the results ofour decompositions to analyse the stellar mass - half-light radius relations ofbulges, discs and spheroids. We further investigate the association ofcomponents with a parent disc or elliptical relation to provide definite $z=0$disc and spheroid $\mathcal{M_\star}-R_{\rm e}$ relations. We conclude bycomparing our local disc and spheroid $\mathcal{M_\star}-R_{\rm e}$ tosimulated data from EAGLE and high redshift data from CANDELS-UDS. We show thepotential of using the mass-size relation to study galaxy evolution in bothcases but caution that for a fair comparison all data sets need to be processedand analysed in the same manner.

Galaxy And Mass Assembly (GAMA): $\mathcal{M_\star}-R_{\rm e}$ relations of $z=0$ bulges, discs and spheroids