Hi Jennifer,
Following on from the discussion at ‘Carbon Dioxide versus Temperature’ I have done two plots first is the normalises annual mean CO2 growth rate with annual fossil fuel usage the second is normalised CO2 mean growth rate compared with sea surface mean temperature anomalies.
First FYI the provenance of the data in some the actual data is ftp and current that causes safari to crash the links to actual data are in the page.
For fossil fuel usage: http://cdiac.ornl.gov/trends/emis/tre_glob.htm
For mean annual growth rate of CO2: http://www.esrl.noaa.gov/gmd/ccgg/trends/
For mean annual sea surface temperature: http://www.cru.uea.ac.uk/cru/data/temperature/#datdow

The covariance for this is .63. The motivation for comparing annual growth rate with usage is that if there is a relationship the difference if any will be due to what is actually put into the atmosphere this assumes (quite wrongly of course) that all the other sources and sinks are inactive. So the caveat here is there will be much more actually influencing CO2 concentrations and the correlation could well be meaningless or due to common factors if there is indeed a link. Bottom line is that apart from the general trend (which leads to the relatively high covariance) the growth rate varies much more than growth in usage and the CO2 peaks and troughs don’t match and I expect that if the data is detrended the covariance will be much smaller. I don’t have time to check this as I have to finish packing and putting stuff out for council clean up.

This has a better covariance of .73 (correlation is the same) but as I suspected we don’t see any lag. This is because there is a single data point at each year for each series and any lag less than year is likely to be completely obliterated. Since the CO2 levels have an annual cycle superimposed on the long term trend any such lag will be buried in the “noise”. However we do have a physical (chemical) link with partial pressure of atmospheric CO2 and concentration in solution that is also temperature sensitive this needs more work than I have time for at the moment. There is however this http://www.rocketscientistsjournal.com/2006/10/co2_acquittal.html . Where he plots concentration versus temperature difference from the vostok ice core, below I plot temperature versus concentration difference which is better I don’t know yet and I did it this way because that’s the way I had the data loaded I’ll look more closely when I get back [from Bellengen].

Looks similar to Jeffry Glasman’s maybe it makes no difference but I’ll have to convince my self of that on.
Cheers,
Jan Pompe





Jennifer Marohasy BSc PhD has worked in industry and government. She is currently researching a novel technique for long-range weather forecasting funded by the B. Macfie Family Foundation.