Dear Authors,

Thank you for your responses to the reviewer's comments and for having improved the manuscript and especially the model description as suggested by both reviews. This article presents new advances that will inspire other land surface modeling groups.

Overall, you have successfully answered most of their comments, with substantial efforts to improve the model description and make it more easily accessible.

I still notice few minor points that should be cleared before the manuscript can be publish. These are mainly technical :
- Overall the label and reference to tables and equations are incorrects (not properly indexed);
- The added figure 1 is valuable but the caption could be slightly detailed;
- In the model description, section "Re-distribution of carbon stocks following land-use-change": Equation 2 is not easy to follow with for example one index in some symbols ("0") that is not fully explicited. You could help the reader with few additional clarifications;
- In the model description, section "Dynamic optimization of Bjv": please also check the coherence of all symbols.
- first sentence of section 5.7 seems incomplete.
- Finally, as reviewer 1 was asking, a little "critical appraisal" of the simplifications/choices/hypothesis made in the POP model would be beneficial in the conclusion section: your view with respect to other approaches.

Best regards,
Philippe

Dear Authors,

Thanks for the responses and updates with respect to the 'minor' comment' i made and sorry for the late processing of your manuscript.
Sincerely,
Philippe