From Open Mind (Tamino)
I won't repeat the whole article. Read it in full here.
My paper with Stefan Rahmstorf showing that global warming has accelerated was published in Geophysical Research Letters today. The main result is that global warming is NOT proceeding at the same old rate it has been since 1975. It’s going faster.
In this data set [from Berkeley Earth], 2025 turned out to be the 3rd-warmest year on record (as in the other data sets except NASA, where it came in 2nd). When I adjust the data to remove the estimated impact of el Niño, volcanic eruptions, and solar variation, I get this:
The trend is unaffected, but the noise level is much reduced, which enables us to estimate warming rates with less uncertainty. I’ve added a red line to this graph which is a modified LOWESS smooth of the adjusted data.
To test for acceleration we isolated the data since 1975, and the simplest way to test for it is to fit a parabola to the data; if the quadratic term is statistically significant, we can reject the null hypothesis, that the signal is just a straight line. Of course we must correct for autocorrelation of the noise, but still the quadratic term turns out to be strongly significant. We can safely reject the null hypothesis: there has been acceleration.
According to this model, the warming rate right now is the slope at the endpoint of the parabola, which is 0.28 ± 0.05 °C per decade (i.e. between 0.23 and 0.33 °C per decade, 95% CI). I will emphasize that this is the “best estimate” and those are the correct uncertainty levels IF (and this is a BIG IF) the data actually follow a parabola plus stationary noise. If not (which is the overwhelmingly likely case), we can consider the estimate good but not best, and the uncertainty levels are a lower bound on the actual uncertainty.
Another test for acceleration is to find the best fit of a continuous piecewise-linear function which is allowed to change slope at a time chosen by changepoint analysis. This is a challenge to evaluate statistically because we have to allow for autocorrelation and account for the extra degree of freedom to choose the changepoint time. But it can be done, and the best-fit model again turns out to be strongly statistically significant.
Both those models serve excellently to demonstrate the presence of acceleration. But I doubt they are best to estimate what the warming rate is right now, and what it will be in the near future. For that, I offer yet another model, which I will apply to the data since 1880, a continuous piece-wise linear fit (PLF) which is allowed to change its slope every 15 years from 1905 through 2010. I call this model “PLF15”
The PLF15 model not only estimates the signal value, it conveniently gives us an estimate of the average warming rate over each segment between the knots. I can plot the warming rate itself (which for this model is constant during each segment) along with light blue shading to show the uncertainty range.
All these graphs plot the warming rate in °C per year, but when quoting numbers I have followed the custom these days to talk about the rate in °C per decade. According to this analysis, the current estimated rate is 0.31 ± 0.07 °C/decade.
Which estimate is best? I don’t know, but I do know that even 0.24 °C per decade will take us past 2 °C right around the year 2050. The whole point of the Paris agreement is: DON’T GO THERE. My advice: fasten your seat belt, things are going to get ugly.
We need to redouble efforts to cut emissions, or things will get very ugly. What can we do?
- Set a renewable energy target in every country. The percentage of renewables+nuclear needs to rise by 6-8% a year, at least. This will cut emissions by 27% (emissions from electricity generation are +-30% of total global emissions) within a decade. We may not yet be able to go above 90 or 95% renewables in the grid, because we don't have long-term storage to offset periods of dunkelflaute, but we will have cut most emissions from electricity generation.
- We must tax imports from countries which do not have an R.E.T. or a price on carbon. (See my posts on a carbon border tax)
- We need to accelerate the replacement of petrol/diesel vehicles (ICEVs) with EVs. This is a problem, because even when we reach 100% of sales being EVs, it will take 10-20 years for all ICEVs on the roads to be replaced. This is too long. Most countries are nowhere near 100% EV sales. We could, for example, ban the import of new or second-hand ICEVs, or slap 100% taxes on them. Ethiopia has already done this. This policy should apply to two and three-wheeled vehicles, too. Countries which do this deserve reduced carbon border taxes.
- In rich countries, we need to replace oil- or gas-based household and industrial heating with heat pumps. Because they have high up-front costs, they will require government subsidy to start the revolution rolling.





