This is a straightforward validation of the ENSO model presented at last December's AGU.
What I did was use the modern instrumental record of ENSO — the NINO34 data set — as a training interval, and then tested across the historical coral proxy record — the UEP data set.
The correlation coefficient in the out-of-band region of 1650 to 1880 is excellent, considering that only two RHS lunar periods (draconic and anomalistic month) are used for forcing. As a matter of fact, trying to get any kind of agreement with the UEP using an arbitrary set of sine waves is problematic as the time-series appears nearly chaotic and thus requires may Fourier components to fit. With the ENSO model in place, the alignment with the data is automatic. It predicts the strong El Nino in 1877-1878 and then nearly everything before that.
This is an expanded view of the proxy agreement. Now the ENSO proxy is in red with squares showing the yearly readings. It would be nice to get sub-year resolution but that will never happen with yearly-growth-ring data.