"The GWPF paid Terence Mills, professor of applied statistics at Loughborough University, £3,000 to write the report."
Well, those are cogent criticisms. But time series analysis is a respectable enough endeavour, so I read the report to see if the GWPF got its money's worth.
The answer is no, or maybe from their poiunt of view, yes. There are about 33 quite well-written pages, borrowing I suspect from lecture notes (nothing wrong with that). But the forecasts themselves are worthless. Gavin Schmidt tweeted the following test of the HADCRUT forecasts, which were from 2014, after just one year:

The thin blue line is 2015 information added by Gavin, and as you see, they are already outside the confidence intervals.
Now it might be said that briefly going beyond the CI's is note a complete refutation, though it very likely won't be brief. The real reason that the forecasts are worthless is that in every case they simply foretell that the expectation for the future is no change at all. The forecast is just constant after a few months, based on a very recent weighted average of data points. It has to be - that is built into the models. In fact, the author actually says this:
"The central aim of this report is to emphasise that, while statistical forecasting appears highly applicable to climate data, the choice of which stochastic model to fit to an observed time series largely determines the properties of forecasts of future observations and of measures of the associated forecast uncertainty, particularly as the forecast horizon increases."
It would be good if he had emphasised that more; it's true (my bold). But in fact what is emphasised is the forecast. And in the press, the slow growth of the forecast. But, as said, that is built in. His models are simply incapable of forecasting change. I'll show why.






