A Hurst value of greater than 0.5 is indicative of «long range persistence» and complicates issues of
calculating trend uncertainties and the like.
Not exact matches
Boris (# 121) points out that contrarians are more than happy to accept the
trends calculated for a few distant planets if it obscures the cause of the
trends seen on Earth — even though the data which we have on those
trends have a great deal more
uncertainty associated with them (see Nicholar L's # 88), and as an explanation in terms of solar variability is not credible (ibid.)
The data are available and anyone can
calculate the different
trends, I don't think I have any special method or anything, but for completeness the 1950 - 2006
trend went from 0.097 deg C / dec to 0.068 deg C / dec (mean of all realisations) a 31 % drop (
uncertainties on OLS
trends + / -0.017 deg C / dec; for 100 different realisations of HadSST3 the range of
trends is [0.0458,0.0928] deg C / dec).
Actually for those 20 years analysed by Rossby our index shows an increase in the AMOC — but that is so small that it would be within the
uncertainties of Rossby's
calculated trend in the Gulf Stream.
By the way, the
trend uncertainty when the
trend is
calculated this way is + / - 0.32, and, if one corrects for the serial correlation in the residuals, it jumps to + / - 0.86.
In paleoclimate, if you want to know the certainty of the average
trend in the blade of the stick, you wouldn't take the extremes of all the inputs to
calculate uncertainty, you take the variance in the output and use some method i.e. monte carlo or a DOF estimate.
To estimate the
uncertainty in an average or a
trend, all that is required is to
calculate the average or
trend for each of the 100 realizations, and estimate the
uncertainty from the distribution of the results.
The
uncertainty of temperature
trends calculated from satellites is about five times as large as the surface temperature measurements.
A few months ago I
calculated trends and
uncertainties for the UAH data.
I do not need a «robust analysis of
uncertainty» to conclude that the accepted
trends are
calculated from garbage data, and can have no possible result other than to produce a much higher
trend than an analysis that properly accounted for these factors.
But I do know the difference between a simple linear interpolation and principal component analysis, and I can
calculate the two standard deviations range of
uncertainty on a white noise linear
trend.
when you
calculate the
trend you also have
uncertainty.
«Accounting for multiple sources of
uncertainty, a composite of several OHCA curves using different XBT bias corrections still yields a statistically significant linear warming
trend for 1993 — 2008 of 0.64 W m - 2 (
calculated for the Earth's entire surface area), with a 90 - per - cent confidence interval of 0.53 — 0.75 W m - 2.»