How do I calculate "Change magnitude as percentage of mean" from Theil-Sen's slope estimator for rainfall data of more than 100 years?

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Samyadeep Ghosh

Can you give reference to some literatures, that you are using?

Suman Kumar Kundu

Of course, I have attached one paper. You can see the respective formula in page no. 147.

Hi, I think this is what you might be wanting:

%change = (Sen's slope * length of period)*100 / mean

length of period might simply be the no. of data points from which you are calculating mean!

I am attaching some references.

http://www.sciencedirect.com/science/article/pii/S2212094714000292

http://onlinelibrary.wiley.com/doi/10.1111/j.1752-1688.2003.tb03677.x/abstract;jsessionid=896E338B31C0D120F21405C9F055B135.f01t02?systemMessage=Wiley+Online+Library+will+be+unavailable+on+Saturday+14th+May+11%3A00-14%3A00+BST+%2F+06%3A00-09%3A00+EDT+%2F+18%3A00-21%3A00+SGT+for+essential+maintenance.Apologies+for+the+inconvenience.

https://www.researchgate.net/post/How_can_I_calculate_percentage_change_in_rainfall_for_annual_and_monthly_rainfall

The formula should be %change = (Sen's slope * length of period)/mean *100

Still some doubt arises, when it is calculated for several places within a single time series.

Both the formulas are same with 100 multiplied in the numerator!

What kind of doubt are you referring to!