Dear authors,

Congratulations for this nice paper! The extensive amendments brought to the first version rendered significantly easier the understanding of the methods, and I consider that you
satisfactorily addressed the comments of the referees. Hence you can regard you paper as provisionally accepted for publication in the Cryosphere. I have however a few additional minor comments and suggestions that you may want to consider to further enhance the clarity of the text: see attached pdf.

Best regards,
Guillaume Chambon / TC Topical Editor

Dear authors,

Thank you for these last corrections. I am pleased to announce that your paper is now accepted for publication in The Cryosphere.

Below are two last technical corrections that I encourage you to perform prior to submitting the final version:

*p.6, l.5: please define theta (slope angle).

*p.16, l.1: I find the mere addition of "absolute" in the sentence quite confusing, since the comparison of modulus values then appears contradictory with the next paragraph (where it is rightly recalled that absolute values of modulus cannot be directly compared due to the scaling applied). Hence, better connecting the content of these two paragraphs would be useful.

Best regards,
Guillaume Chambon.