Effect of persistence on trend detection via regression

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Analysis and prediction of rainfall trends over Bangladesh using Mann–Kendall, Spearman’s rho tests and ARIMA model (2017, background): “Matalas and Sankarasubramanian (2003) examined the relationship between the variance of the estimate of the slope of trend and the autocorrelation.”
The importance of prewhitening in change point analysis under persistence (2016, background): “3 or analogous variance inflation factors (Matalas and Sankarasubramanian 2003), one can apply prewhitening procedures, which consist of the removal of the autocorrelation structure by fitting one of the models mentioned above and thus performing the statistical test on the (approximately) uncorrela”
To prewhiten or not to prewhiten in trend analysis? (2007, background): “Matalas & Sankarasubramanian (2003) showed that PW greatly reduces the inflation factor of the variance of the estimate of the trend slope.”