Two can play at this game.
I don't think you want more of this. This is what you're up against! Good luck with that. And the mean is different at different places in the ocean. So you can't combine them. You have to keep sampling at each spot for many years. Then get the net drift up or down at that spot , if there is any, and average that drift with all the other drifts obtained over many years, to see if there is any significant mean drift up or down. That's not been done because the data hasn't been available, it may not be available with enough precision in my lifetime.
Below is your chart with the relevant error data for the regression lines. Note that the pCO2 data gives a slightly better fit to a parabola than to a straight line. This is from R.A. Feely's invited insert in "State of The Climate - 2007" review by Levinson, et al., BAMA, July 2008. After reading much of this very long article I realized for the first time what a state of utter chaos our understanding of climate is in. From Feely's insert pg. S58.: "...the time series data at Ocean Station Aloha shows an average change of approximately 0.02 units per decade in the northeast Pacific... The pH of ocean surface waters has already decreased by about 0.1 units from an average of about 8.21 to 8.10 since the beginning of the industrial revolution. "
I can't emphasize enough what difficulty drawing any conclusions re CO2 "acidification" from this particular data entails. First, a nice guy David Karl, and his students, with a boat, at the University of Hawaii collected the the pH data. That's probably some of the very best ocean pH data available for measurement in one spot over almost 20 years! It is one spot though, and ocean pH isn't exactly the same everywhere and there are many things that can affect it from one location to the next. (Ocean water is buffered so it never changes by much.) So now we have as good as we are going to get pH data, from a single spot in the Pacific ocean, near a volcano, over twenty years time. That data fits a down sloping line with a correlation coefficient of 0.26. It is being compared to pCO2 that actually fits a simple parabola better than the straight line shown. It fits the straight line with a correlation coefficient of 0.10!!! What to make of this? Note also that +- 0.02 pH units represent the typical standard deviation obtained from extremely careful, expert pH measurement under ideal conditions. This is the pH change that Feely says is associated with ten years of this aloha data! [one typically sees pH measurement expressed to only two figures for good reason.]
And finally how about that pH change for the entire ocean since the Industrial Revolution no less? Beckman invented the glass electrode in the first decade of the 20th century, so I don't doubt that Ocean pH was carefully measured then. But even if you measured it again in the exact same spot a hundred years later you haven't determined anything other than what the pH is a hundred years later at that spot. Any one who thinks that ocean pH changes by less than 0.1 unit no matter where you measure it, and that CO2 is the only thing affecting it, is a raving lunatic.. If anywhere there exists continuous measurement of ocean pH at even one spot from the industrial revolution to today it would be nice to see it! Perhaps the data was carefully estimated from tree rings.
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