The analysis of the S 1 population up to 300 fs shows some effect of the environment, which tends to slightly decrease the probability that the system remains in, or actually re-populates, the excited state. Such an effect is stronger in TSH-ED than in CT-TSH, with an abrupt jump observed for TSH-ED between the 2D + 11BM and the 2D + 12BM simulations. However, this effect appears to be in disagreement with quantum dynamics results, that predict an increase of the final S 1 population as an effect of the environment. The stabilization effect due to the environment