I think I am taking David's side on this -- the best that the lunar forcing modeling can do is provide discrimination of natural zero-sum cyclical changes from the long-term monotonic (often labelled secular) changes due to GHG forcing. I have to be very careful distinguishing the two, as people often assume that the modeling of ENSO I am doing is somehow counter to the prevailing AGW theory, and so also assume that I am an AGW skeptic. Wrong :(
This is a latest chart -- notice that the very long-term tidal terms, corresponding to 18.6 and 8.85 years at the bottom-right inset are not a contributing factor to the ENSO model.
BTW, the correct term is anthropogenic and not anthropomorphic, as the latter applies human characteristics to a phenomena.