Dear Noémi,

You have now received two constructive reviews for your paper, to which you have responded. If both reviewers are globally positive, they have made a substantial number of remarks that should be accounted for in the revised version. I therefore invite you to submit a revised version that will be send back to review. Based on this new set of review, I will take a final decision regarding the acceptance of your paper in The Cryosphere.

Regards,
Olivier Gagliardini

Dear Noémi,

Thanks for your revised version and reply to both reviews. This new version has been sent back to reviewers.

Best regards,
Olivier Gagliardini

Dear Noémi,

I have now the feedbacks from both reviewers regarding the revised version of your manuscript. If one is happy with the new version, the other reviewer still think that part of the discussion in your reply to her/his review could be added as material in the paper itself. I let you decide on which form it can be done (in the main text or in a supplementary material as your paper is already long and dense).

Also, what is the red line should be specified in caption of Figs. 7, 10 and 14.

Based on this new version of your paper I will take a final decision for its acceptance in The Cryosphere.

Best regards,
Olivier Gagliardini

Dear Noémi,

Thanks for this new version and the supplementary material. The reference to this new material should be more emphasized than actually done. I don't ask for a full discussion of what is contained in the supplementary material but at least few sentences such that the reader know what can be found in this supplementary material (similar to what is currently written as an introduction of the supplementary material).

Regards,
Olivier Gagliardini

Dear Noémi,

Thanks for this last version of your paper that I am please to accept for publication in The Cryosphere. Thanks for having choosing The Cryosphere to publish this nice piece of work.

Regards,
Olivier Gagliardini