In response to my post, you said my analysis is “very weak” and that I used “an inappropriate statistical approach that did not consider the variability of the time series.”
The Theil-Sen trend estimate is robust, in fact it’s what statisticians call “non-parametric” (although I prefer the name “distribution free”). Such methods are specifically designed to account for the variability of the time series. What is your basis for stating otherwise?
What method would you prefer? What method did you use?