I have now read the revisions and responses to reviewer comments. The authors have paid close attention to reviewer comments and I am happy with their responses. The manuscript seems to be in publication ready format.

My only requested changes are to the supplementary materials. I think more can be done to make the results of the paper reproducible. I suggest including a second file that is a readme with instructions on how to use the code to generate the figures used in the paper. Basically I am asking for some instructions as to what parameters need to be modified (e.g.: "The variable parameter n appears on line 36, for figure x we used...") and perhaps a few lines of guidance as to model behaviour (for example repeating some of the comments in both the paper and the code, such as the instructions for the iterate parameter.

Also in the code some additional comments could be added

% How to input your own data
% You must modify the following parameters:
% on Line 36, the n parameter, which is the number of your samples
% on Line 37, the amin parameter, which is the youngest sample age from your real dataset

and so on. Essentially I am asking you to spend a few hours making it very easy for readers to 1) reproduce your results and 2) use your code with their own data.

Hopefully this effort will result in greater uptake of this very useful tool.

Thank you for submitting your work to esurf and I look forward to seeing this paper published.

Simon

Thanks for providing such careful revisions and responses to the reviewers' comments. I agree with Simon Mudd that some instructions for the code in the supplementary material would be extremely helpful and improve the uptake of your work.