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2. Methodology and data requirements
Data analyses for trend detection are based on linear regressions.
The confidence of the trend coefficient depends upon the variance
of the difference between the data and the fit model. This residual
variability includes the short term fluctuations of the atmosphere
and the measurement noise. The confidence is related to this short-term
residual variance and to the length of the data set. In practice
in the atmosphere, two successive measurements are correlated
by the non-random changes such as waves. The determination of
the trend confidence interval can take into account this non-independence
data properties with autocorrelation coefficient. As more measurements
will not improve trend estimates, one can reduce the confidence
interval in reducing the residual atmospheric variance in averaging
successive measurements. The optimum interval depends upon several
factors and is somewhere between a week and a month.
However, the fundamental factor limiting our hability to detect
and quantify trends is the instrumental bias inducing changes
of the mean measurements. Most of the instrumental changes may
impact on the bias and may generated spurious changes which can
be interpreted as trends. So it is deeply recommended to well
documented any instrumental changes for efficient trend data analyses.