Dear authors,

Thank you for submitting your revised manuscript to the Cryosphere. However, I could not find any tracked changes manuscript in your authors' response file. Such a document including marked up changes with respect to the previous version is extremely useful to facilitate the job of the referees, and mandatory when submitting a revised manuscript (see https://www.the-cryosphere.net/for_authors/submit_your_manuscript.html). Please include this tracked changes version in your submission, as well as a more detailed, point-by-point response to the comments of Referee#2 (comments included directly in the pdf file). I will wait for these documents before sending the paper back to the referees.

Best regards,
Guillaume Chambon / TC Topical Editor.

Dear authors,

I have received the feedback of the two referees on your revised manuscript. While Referee #2 considers that his comments have been addressed in a satisfactory manner, Referee #1 remains more critical and still expresses serious concerns. He recommends in particular further improvement of the discussion and conclusion sections, and provides numerous detailed suggestions in this sense. He also asks for better presentation and representation of the results (graphs instead of tables, figures focusing more on the quantities effectively discussed in the text and more readable).

I consider that the critiques of Referee #1 are well-founded, and that the requested amendments are necessary to reach the high-quality standard required for publication in TC. If you feel that you can address his comments, please submit an appropriately modified manuscript and a corresponding author response.

Best regards,
Guillaume Chambon / TC Topical Editor

Dear authors,

I sent your revised manuscript to referee #1 for a further review. A you will see, the referee is globally appreciative of the substantial changes brought to the paper, and gives a positive opinion regarding its publication. He does nevertheless recommend an additional minor revision, and points out a number of issues that still need to be addressed. The point concerning the compaction model, in particular, requires special care. Please carefully answer to his different comments and submit an appropriately revised - and hopefully last - version of your paper.

Best regards,
Guillaume Chambon / TC Topical Editor

Dear authors,

Thank you for this new revised version. I am happy to announce that you can now consider your paper as provisionally accepted for publication in TC. I did however go through the manuscript in detail one last time, and found a number of statements and points that were not fully clear to me (in particular in the Results section): see comments in the attached pdf file. I thus recommend that you try and fix these last issues, mostly technical in nature, before submitting your final version.

Best regards,
Guillaume Chambon / TC Topical Editor