Many of you read Moberg. Some of you probably saw the following diagram showing the re-combination from wavelets to yield the final reconstruction. It looks like an even more complicated method than MBH98 – "science moves on".
Moberg Figure 2.
So if I offered to show you plots of the wavelet decompositions of all 11 low-frequency series used in Moberg, none of you would probably think that it would be very helpful to you to see a whole lot of diagrams looking Moberg’s Figure 2. However, I’ve plotted out the 11 series using a discrete wavelet transform, instead of a continuous wavelet transform and you’ll find the results accessible and interesting.
UPDATE: qqnorm plot added for the 11 low-frequency proxies.
All of these series are annual series and so a discrete wavelet transform is much more in keeping with the data. Wavelet transforms represent the data on scales of 2,4,8,16,… I’ve grouped the representations into scales <=32 years and >= 64 years and plotted each representation on a common scale (intra-series not inter-series). The third panel for each series is the low-frequency scales and the one of interest here. It’s obvious, as I’ve mentioned before, that 20th century hockey-stick-ness is strongest in series #11 – Arabian Sea Upwelling see here; and secondarily by #10 Yang (which is driven by the ever-present Thompson Dunde and Guliya series) and #1 – Agassiz. As I noted before, #11 and #1 are non-linear and in % terms and need to be normalized prior to entering into a global calculation.
UPDATE: Here is a qqnorm plot for these 11 series. Is Moberg normal? I guess not.