Thank you very much for your consideration and diligence aptly responding to the referee comments in the open discussion. Having taken the manuscript and the open discussion into due consideration, the manuscript is on good track for publication subject to minor revisions. I look forward to the revised version. Thank you very much and best wishes.

Thank you very much for having aptly taken the raised questions and recommendations from the review process into due consideration in preparing your revised manuscript. In its present form, it is scientifically ready for publication at Earth System Dynamics, providing a very significant contribution especially given the added scientific value at both physical understanding and mathematical breadth, aspects that are so crucial and welcome to be strongly nurtured in our community.
The manuscript will now undergo copy-editing and typesetting ahead of final publication. To aid in that process, I send a separate minor typesetting/notational note.
With very best wishes,
Rui Perdigão