I have calculated the SPI using rainfall for several cities and I would like to calculate the return period for the events with the most extreme SPI value. Is there a methodology for that? If not how can I go about it?
Hemen M Butu I think you could treat it like the rainfall itself. So, if you mean return period, or probability of exceedance, you enumerate cases of your maximum SPI sorted from maximum value (whatever period of time you use - year for example) and then p%=n/m+1 where n is a number of the case and m - maximum number (with the least value). p% is your probability of exceedance, if p=1 so return period is 100 years. Is that what you mean?
Nikolay Yasinskiy Yes, that would work. I have undertaken SPI over 241 years for six cities using data from IPCC. I have categorized both extreme wetness and extreme drought. So I'll calculate return periods for extremes in each case in each city.