I created a ARIMA model with 1224 month wise data (102 years - From Jan 1900 to Dec 2002), totalling to 1224 data items. How far I can forecast. Typically i got some pattern in forecast only for 36 months ahead (Jan 2003 to Dec 2005) After that my values became constant only a straight line was observed. Can any one help me out with this ?

And any suggestions to build synthetic data with existing data in hand is also appreciated.

Fitted model: enter image description here

Forecasted model (Observe towards the end, value starts decaying) enter image description here


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