Response to comment by Hilgen et al.: Integrated stratigraphy and pitfalls of automated tuning

First of all we thank Hilgen and co-authors for their interest in our manuscript. Here we provide an answer to their comment in order to prove the robustness of our conclusions, despite the tuning process that we performed on the original MEDSTACK from Lourens et al. (2004) and Wang et al. (2010)