Before revision:  Both reduced models are able to accurately re-predict the training data and capture much of the overall system behavior in the prediction period. Due to re-projection, the OpInf is more costly than the POG-G, nevertheless, speed-up factors of order two are achieved for both ROMs. Numerical results demonstrate that the conserved quantities of the RTSWE are preserved for both ROMs over time and the long-term stability of the reduced solutions is achieved .
After revision:  Both reduced models are able to accurately re-predict the training data and capture much of the overall system behavior in the prediction phase with several orders of computational speedup over the FOM. The preservation of system physics such as the conserved quantities of the RTSWE are preserved for both ROMs over time and the long-term stability of the reduced solutions is achieved .