seqMK: Sequential Mann-Kendall test for time series.
Description
The sequential Mann-Kendall test on time series x detects
approximate potential trend turning points in time series.Value
- progProgressive row of Kendall's normalized tau's
- retrRetrograde row of Kendall's normalized tau's
- tpBoolean vector indicating at what indices of the original timeseries the prog and retr cross, i.e. TRUE at potential trend turning points.
Details
Implicitly assumes a equidistant time series x.
Calculates a progressive and a retrograde series of Kendall normalized tau's.
Points where the two lines cross are considered as approximate potential
trend turning points. When either the progressive or retrograde row exceed
certain confidence limits before and after the crossing points, this trend
turning point is considered significant at the corresponding level,
i.e. 1.96 for 95References
Kendall M, Gibbons JD (1990) 'Rank correlation methods'. Arnold.
Sneyers R (1990) 'On statistical analysis of series of observations. Technical Note
No 143. Geneva. Switzerland. World Meteorological Society.
Schaber J (2003) 'Phenology in German in the 20th Century: Methods, analyses and models.
Ph.D. Thesis. University of Potsdam. Germany.
http://pub.ub.uni-potsdam.de/2002meta/0022/door.htm