Jim D and Peter Lang
Jim, your projection of 1.7-1.8% for emissions based on continuation of past CO2 growth rates, despite a dramatic slowdown in population growth, as projected by UN, makes no sense at all. Remember we are talking about human-caused CO2 emissions.
Peter, I see you now write that the Nordhaus estimate is based on 686 ppmv CO2 by 2100.
To clarify, Nordhaus (2008) projected CO2 concentration in 2100 at 686 ppmv.
This is not much different from my “back of the envelope” figure of 650 ppmv and is certainly not absurd IMO. I thought you cited a much higher value (over 1000 ppmv) in your earlier comment, but maybe I misunderstood.
My comment (that the forecast was grossly exaggerated) was based on the data you listed in your earlier comment (mixing GtC per decade with GtCO2/year), and possibly by my misunderstanding your statements. Now that you have cleared this up, you can ignore my comment.
You say I have not used compounded (exponential) growth rates.
Manacker does not use rates of change but simply does a linear projection of past rates. so he is ignoring the effects of compounding .
This is not correct. The compounded annual growth grate (CAGR) of per capita CO2 emissions (1970-2010) was 0.25% per year. I used a slightly higher CAGR of 0.3% per year going forward to 2100, tied to the projected annual population. This results in roughly a 30% increase over the period.
Using my simplified per capita CO2 emission approach, one would need to use a CAGR of pc CO2 emissions of 0.6%, or twice the rate I used, to arrive at a CO2 concentration of 686 ppmv by 2100, as Nordhaus has estimated.
So, based on these data, the Nordhaus (2008) CO2 projection (tried to anticipated GDP growth) checks roughly with my “quickie” reality check (tied to population growth plus an increase in pc CO2 emission), except that his estimate ends up with a somewhat higher CAGR of pc emissions to 2100.
Now to Tol.
According to Tol, the projected warming by 2100 (per his Figure 1) is 3.7ºC above the temperature in 1900 (his baseline), or 3ºC above the 2010 temperature. He states his bases: change of temperature benchmarked to 0.04ºC per year and change since “pre-industrial” (1750) = 1.0ºC. Figure 1 shows annual increase growing from 0.02ºC in 2010 to 0.038ºC by 2100 and flattening out asymptotically to a maximum of 0.04ºC (his “benchmark”?).
At the 2xCO2 equilibrium climate sensitivity of 3ºC, as predicted by the IPCC climate models, this would mean CO2 level of 2*390 = 780 ppmv (at “equilibrium”).
This is high, but not unrealistic IMO. And it appears that Tol does not tie temperature increase to CO2, GDP or anything else other than a “benchmark” rate increase of 0.04ºC per year.
So our “disagreement” really isn’t one, Peter, now that the numbers are cleared up.
The difference between my 650 ppmv CO2 and Nordhaus’ 686 ppmv CO2 is minimal.
Tol does not specify a CO2 level for 2100 in his study, but based on the warming he estimates, it is somewhere around 780 ppmv.
My “quickie” reality check would say this is probably on the high side, since it would require the pc CO2 emission to increase at 1.15% CAGR, over four times the rate actually observed from 1970-2010. It also would mean that every man, woman, and child on this planet would be emitting as much CO2 per capita as the inhabitants of the “industrially developed” nations do today, around 12 t/a. A stretch, IMO
But I’ll repeat the point I made: anything in the range of 650 to 790 ppmv would still lie within my “quickie” reality check; levels around 1000 ppmv would not (because they imply that every man, woman and child on this planet will be emitting twice as much CO2 per capita as the inhabitants of the “industrially developed” nations do today, around 26 t/a).
I’m sure you would agree that this is not a reasonable projection, especially in view of the fact that the “industrialized nations” are gradually reducing their per capita emission and the second constraint that there most likely aren’t enough fossil fuels left on our planet to even reach these levels.
I hope this now clarifies our apparent misunderstanding, so we can end this exchange and move on to something else.
Max