To the authors,

You have thoroughly addressed the reviewers’ comments. Therefore you are kindly invited to submit a revised version of your manuscript subject to minor revisions.

Best regards,
Alex

To the authors,

You have done an excellent job responding to the reviewers’ comments, which were also quite thorough. I believe the quality of the manuscript and its clarity have improved substantially. The method is now easy to understand and clearly structured. I only have minor revisions to suggest before publication.

P3L14: “We generally consider ice domains as part of the land, except where they float on the oceanic water as ice shelves.” <= This sentence seems a bit unnecessary. If you define the ice domains as in the previous sentence, then you do not need to “consider” them one way or another. I would suggest deleting this sentence, but in the previous sentence modify “or the ocean” to be “or floating on the ocean”.

P4, Fig. 1 caption: blue sheds => blue shading [two times]

P6L30: This sentence sounds a bit strange to me: “Such a region, when physically connected to the ocean by oceanic water, can take up water and contribute to sea-level fall.” <= According to your equations, this would only be true when the region is floating, and then H_F would necessarily be zero. Correct? I think I understand the sentiment, but perhaps rephrasing is needed.

P9L30: “More importantly, the change in ice thickness in this regime can affect the interior-ice sheet dynamics via modulation of buttressing force (e.g., Gudmundsson et al., 2019) and may amplify the future sea-level change.” <= Perhaps add that this is not treated here for clarity, or even remove the sentence as it is outside the scope.

P11, Fig. 3 caption: Mislabeled reference to panel (e) as (d).

P11, Fig. 3e: Consider label change from “Improvement to the HAF method [%]” to something more objective like “Relative difference with HAF method [%]”.

P14L2: bookkeeping the => bookkeeping of the

Best regards,
Alex

To the authors,

The manuscript looks like it is ready for publication now.

Best regards,
Alex