Dear authors,

I thank you for your detailed and constructive answers in the interactive discussion. You are invited to submit a suitably revised manuscript effectively addressing all reviewers' comments, along with a tracked-change version. As per their recommendations, this revised version will first be sent to the reviewers for an updated assessment, prior to making the final decision regarding publication of your paper.

Best regards,
Guillaume Chambon / TC Topical Editor

Dear authors,

I have now received feedback from the two referees on part I of your companion papers. Both consider that the comments and criticisms raised in their reports have been satisfactorily addressed in the revision. Referee #2, however, raises a few additional questions regarding the comparisons with a previous study, and Eq. (30) of your paper. Specifically, he recommends adding an appendix to explain the derivation of this equation from the original work.

Please consider addressing these final comments and resubmitting an appropriately amended manuscript.

Best regards,
Guillaume Chambon / TC Topical Editor

Dear authors,

I commend you for this second revision that further clarified your manuscript. I am pleased to announce that your paper is now accepted for publication in The Cryosphere. I recommend to add an explicit acknowledgement to the referees prior to submitting the final version.

Best regards,
Guillaume Chambon / TC Topical Editor