Sentences with phrase «magnitude of the linear trend»

This is required because only the magnitude of the linear trend can be meaningfully compared for such a short time series in the presence of substantial inter-annual variability.

Not exact matches

Because the magnitude of the counter acting effects depends on the degree of non-linearity, the rms of the residuals to a linear fit, the length of the trend and the temporal auto - correlation of the «weather noise», it is difficult to generalize whether the method will generally result in too many false positives or negatives.

If nonlinearities are important, as you suggest, one would expect the result to be... well, crap, not the emergence of a linear trend, and certainly not a linear trend with magnitude equal throughout the observation period.

Two components are harmonic sine waves that run constantly through the record one with period of 20 years and magnitude of 0.1 C and the other a 60 year period and magnitude of 0.2 C. Another component is a linear trend of 0.1 C per century that runs through the record and the last is a linear trend of 0.66 C per century that begins in 1950.

For a Gaussian time series, the margin of error on a trend of length N t estimated by linear least - squares regression is a function of the magnitude of the interannual variability (given by the standard deviation σ), the lag - one autocorrelation and the trend length (Thompson et al. 2015).

The magnitude of each relative changepoint is calculated using the most appropriate two - phase regression model (e.g., a jump in mean with no trend in the series, a jump in mean within a general linear trend, etc.).