Therefore, if all the 10th years are taken out and organized in chronological way from 2010 to 2070, a non-stationary time series of 60 years is obtained. Overall, the outcome of this procedure is synthetized by the transposed matrix XT S,Y, so that the row corresponds to the number of the synthetic non-stationary time series (100 in total), each one this time of length 60 years (from 2010 to 2070; columns). In this case each time series incorporates the trend and periodicity reported in Table 1. As regards the temperature time series, the trend given in Table 1 is directly added to the deseasonalized temperature time series generated by the FARIMA model.