In a previous work, we derived explicit density evolution (DE) equations for spatially-coupled turbo-like codes (SC-TCs) on the BEC, allowing us to efficiently compute exact decoding thresholds and show that threshold saturation occurs. For the AWGN channel, since exact DE equations are not available, we use Monte-Carlo density evolution for estimating the thresholds of SC-TCs. One of the difficulties of such an approach is that the graphs of spatially coupled systems contain a large number of edge types whose message densities have to be considered individually during DE. As an efficient alternative, we then consider the erasure channel approximation by Chung for predicting the AWGN channel thresholds. Finally, we demonstrate that for randomly punctured ensembles, the thresholds of all higher rates can be predicted from the unpunctured thresholds of the BEC and/or the AWGN channel.