tokens: We are thankful to Raphael Roth and Fortunate Joos for providing data on C production rates and for useful discussions on the carbon cycle. Support by the Academy of Finland to the ReSoLVE Center of Excellence (project no. 272157) and by IPGP through its invitation program is acknowledged. Y.G. and G.K. were partly financed by grant N 14.Z50.31.0017 of the Russian Ministry of Science and Education. This is IPGP contribution No. 3699.
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