I am a graduate student of Ecology working on a species diversity problem and am not much educated in time series methods. i have searched 3 general time-series books and could not find a clue on how to proceed. I am hoping that seismologists or other earth scientists could help me find a method.
My data, after some processing consists of multiple time series, auto-correlated in space. the time series are quite short compared with typical time-series data, that is 15-30 points and typically without large variation in the series.
I would like to characterize the stability, resistance and resilience of this set of time series (for each one of them).
Do you know of any method that is in common use for such problems of stability ? I was thinking seismologists may be able to help me, as some of them are probably occupied by the need for fast predictions for earthquakes from multiple sources of data with some spatial auto-correlation.