Dear author,

Thank you very much for your updated manuscript, which carefully answers the very detailed remarks from the referees (especially from Dr Jagers, whose review is very impressive). I consider that the manuscript can be almost published as is after considering the following minor additional remarks:

- p.15 L28-29, I propose to change “… higher frequencies, with further work required to fully account …” for “… higher frequencies. Further work is required to fully account …” to better separate what was implemented from required work.

- Please make Figure 5 figures and captions coherent. Fig 5 c captions mention T01, while Tp(s) is indicated on the figure. The same remark applies for Fig 5 f while captions for Fig 5 i were modified.

- P.4, l. 28: there is still one Seo et al. (2017)

- Figure 2 : you have not answered the referee’s remark about g not being tauoc but a Charnock parameter

With best regards