Following are acf and pacf plots of a monthly data series. The second plot is acf with ci.type='ma': ![enter image description here][1] The persistence of high values in acf plot probably represent a long term positive trend. The question is if this represent seasonal variation? I tried to see different sites on this topic but I am not sure if these plots show seasonality. http://stats.stackexchange.com/questions/108983/acf-and-pacf-plot-analysis http://stats.stackexchange.com/questions/56824/help-interpreting-acf-and-pacf-plots http://stats.stackexchange.com/questions/49571/help-understanding-the-following-picture-of-acf http://stats.stackexchange.com/questions/59694/autocorrelation-and-partial-autocorrelation-interpretation Edit: following is the graph for lag upto 60: ![enter image description here][2] [1]: https://i.sstatic.net/o0ujY.png [2]: https://i.sstatic.net/UMWx3.png