Methods for Time Series Analysis - Hydrologic Time Series Analysis: Theory and Practice - page 79

presence of cross correlation among sites in a network may influence
the ability of the test to evaluate the field significance of trends over
the network (Yue et al., 2003). The effect of serial correlation on the
Mann-Kendall test can be eliminated by using trend-free pre-whitening
procedure as suggested by Yue et al. (2003).
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