In Fig. 1, I show the test of the GLM theory over 4 and 3/4 of a cycle (475 days) and over a small portion of the domain in order to see if we would reach a quasi-steady state (the change of Lagrangian-mean PV with time is negligible, panel (a), compared to other quantities) if we perform the average over a length of time that is not exactly a multiple of the wave period. We see (Fig. 1a) that even after 4 cycles there is still a large value for the change of the Lagrangian-mean PV with time and many more cycles would be needed to make that term negligible.