Having read through the responses to reviewers and the new manuscript I am very pleased to see the effort the authors have put into improving the manuscript. I should say I am not an expert on ice core dating and i do hope that reviewers 1 and 2 will have read over your response and do not have any issues with the new material regarding experiments. But as far as I am concerned this is a marked improvement and gets across the ideas far more clearly.

I am happy to accept almost as-is, however i spotted a few typos that should be fixed as well as language issues, see attached marked-up PDF.

In addition, given the confusion surrounding 2.2 (now 2.3), which i now understand better, it is still somewhat confusing, as (a) you treat the firn thinning function as depth-dependent though it is close to 1, and (b) i would think it is also an approximation to treat firn density as constant across the firn layer and in time. Hopefully in the final version you can add a few brief words to clear this up -- but my decision is still to accept subject to technical corrections.