Comparison results after and before the saturation: Algorithm 2 with Poisson for f and identity for g, , , , and . We denote by w: the metric with saturation and wo: the metric without saturation, in the test period. Ratios of w/wo are reported. Note that, for the metrics such as RMSE, MASE, and MARE, a ratio lower than 1 implies an improvement of the model to make good forecasts with saturation. A ratio of higher than 1 indicates that applying the saturation improves the forecasts.