Thank you for your thorough and detailed revision and reply to the reviewers' comments. I think, the manuscript is almost ready now for publication, after a few minor points are addressed as listed below.

0) Maybe a matter of taste, but I find that overall you use too few commas for a good reading flow. Instead sometimes you use semi-colons to concatenate sentences that could easily "survive" on their own.
1) L94–96: Sentence is hard to read, please reword.
2) L97: remove "possible"
3) L114–137, new section on initial conditions: While the content is fine, I find the quality of writing inferior to the rest of the paper. Some expressions are somewhat colloquial and some sentences are a bit too long and unnecessarily complicated. I invite the authors to go over this part once again and sharpen the message.
4) L361: use abbreviation "SJ"
5) Caption Fig. 6: transects -> lines
6) L400: missing brackets?
7) L410-412: split into two sentences
8) L594–595: sentence does not read well, either add commas or break in two
9) L600: you have now introduced the abbreviation "KE" and should use that consistently.
10) L604: comma after "SJ"
11) L607ff: comma before "so". I would refrain from including entire sentences in brackets.
12) L609: I am not sure I really understand that last sentence. What do you lose if you omit it?
13) Acknowledgements: I think the reviewers deserve a mentioning here.