Dear Dr Chen

Thank you very much for your responses to the reviewer's comments and the remarks posted during the open discussion. Both reviewers have required a substantial revision of your manuscript along three main lines: (i) the reason for choosing this specific model instead of more sophisticated models and (ii) the physical relevance of the analysis, and (iii) to put this work in a broader context of the published literature.

Your new manuscript version will now be forwarded to the reviewers in order to get their views on your revision. Once these information are obtained, an editorial decision will be taken.

Best regards
Stéphane Vannitsem

Dear Professor Shen

In view of the reviewer's reports and my own evaluation, I am pleased to inform you that your manuscript is now accepted for publication in Nonlinear Processes in Geophysics in its current form.

Best regards
Stéphane Vannitsem