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The MannKendall algorithm first calculates several statistics on the timeseries. Missing values are ignored.

Mann-Kendall statistic S

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Variance S

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where

  • g

 

is the number of groups of tied data

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the number of multiple data in the qth time period

Z statistic
Z=

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, if S > 0,

  • Z = 0

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, if S = 0

, if S < 0,

Slope

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