Dear Dr. Hauri and co-authors

Firstly, I would like to thank you and all reviewers for the very constructive review process, the constructive feedback and the timely evaluation and revision of the manuscript, despite the special circumstances due to the COVID-19 pandemic. All 3 referees have raised several good points to improve the manuscript. Likewise, all 3 referees are very positive in their overall evaluation suggesting only minor revisions. I very much agree with their assessment and therefore would like to suggest minor revisions to the manuscript.

Overall, the reviewer comments concern technical aspects of the manuscript and mostly ask for clarification that I think you have adequately addressed in your response. There are, however, also some more serious concerns raised by the referees regarding the presentation of the figures and the statistics of the manuscript. I think by adding additional clarification and table 3 to the text, the statistical evaluation is now clear to the reader. I do encourage you however, to reconsider the use of colorscale as suggested by referee#2. For instance, referee#1 and referee#2 both comment on the red-blue colorbar and indicate concern that the choice of color is not intuitive. I myself agree that a sequential colormap would be more ideal in portraying absolute values, e.g. by the colorscale used in the figure that you present yourself in response to comment#8 of referee#2, whereas red-blue or red-yellow-blue is more ideal for differences (e.g. as used in the newly added difference columns in figures 2,3,4,5,7,8 as well as figures 9 and 10). I also don´t think that fewer features are visible using the alternative colorscale based on your example in response to comment#8 of referee#2. In case you have other reasons why you want to stick to the chosen colorbar that are not referred to in response to referee#2, please indicate them when submitting your revised manuscript.

Otherwise, based on your rebuttal and the provided track-changed text, I believe the manuscript does not require another round of external revisions, hence I plan to review the revised manuscript myself.

Best regards
Peter Landschützer

Dear Dr. Hauri and co-authors,

many thanks for submitting your revised manuscript and the detailed clarification regarding the use of colormaps including the reference. As indicated in my previous letter, I am not opposed to your choice of colorscale, but I understand the arguments provided by the referees. I therefore initially felt that comment#8 of referee#2 was not fully addressed, hence my request for further reasoning. I believe your response now resolves the initial comment#8 by referee#2 and I am happy to accept the manuscript in its present form for publication.

Best regards
Peter Landschützer