Dear authors,

Thank you for your reply to the referees comments. Please proceed with the revision of the paper and make sure to address all the comments raised by the referees, and especially the very thorough and useful comments of referee 2.

Please make sure that you address satisfactorily all comments by this referee but especially the comments on figure 6 and 8, and comments on lines 482-484 on water content and ice content, and comment on line 490. As regards the comment on line 673 (on the number in Table 6), I agree with the referee and would strongly suggest to include the uncertainty.

Finally, the referee comment on the different meteo conditions in the two years to explain the differences in the storage change seems an important one that should be addressed thoroughly.

I look forward to receiving your revised manuscript.
All the best,

Francesca

Dear authors,

Thank you very much for your detailed responses to the reviewers comments, which address most of them. I will now send the revised paper to the reviewers for them to verify the revisions made. The paper has already substantially improved.

Thank you again for your thorough revisions, and I look forward to the next steps.
All my best,

Francesca

Dear authors,

Thank you very much for the throrough revision of your manuscript, which, based on the feedback from two reviewers, I am now happy to accept for publications with minor technical corrections.

The paper is now substantially improved, and it is much clearer both in its methodological approach, assumptions and limitations, as well as in its results.

I appreciate your responses to the comments by reviewer Hayashi on the model parameters, and the text you have included to discuss the porosity values. Both original reviewers spotted a number of errors that it was important to correct.

I hope you will agree with me that the two reviewers’ very thorough, careful and constructive comments were extremely useful.

I attach a pdf with some minor/technical comments that I would encourage you to include to increase the readability of the paper.

Thank you for submitting the paper to TC and congratulations on this very interesting manuscript!

All my best,

Francesca