Dear authors
Thanks for providing a revised version of your manuscript. I found your new version addresses most comments raised by the reviewers. Particularly, I appreciate the change in the title of the manuscript; the previous title was misleading and the new one better describes the content of the manuscript and the model description.
I have only one minor comment that I would like the authors to address in a final revised version. In section 2.2.3 you should also include the equation for $\Delta^{14}$C that pertains to the values you report. In the 14C terminology there's usually a lot of confusion about the corrections for fractionation and radioactive decay. Please use any of the standard terms described in Stuiver & Polack (1977) or in Mook & van der Plicht (1999).