Summary:

## Final Decomposition Fluxes

The article outlines the calculations for the final decomposition fluxes in the carbon and nitrogen cycling models, specifically the CLM-CN and CENTURY pool structures.

Key Points:

1. Final carbon fluxes leaving the individual litter and soil organic matter (SOM) pools are calculated based on the potential carbon fluxes and the immobilization demand factor (`f_immob_demand`).

2. Heterotrophic respiration fluxes (losses of carbon as CO2 to the atmosphere) are calculated for each pool by multiplying the final carbon flux by the respective respiration fraction.

3. Transfers of carbon from upstream to downstream pools in the decomposition cascade are calculated as the final carbon flux minus the heterotrophic respiration flux.

4. Nitrogen fluxes between pools are calculated based on the carbon fluxes and the carbon-to-nitrogen ratios of the pools.

5. The nitrogen fluxes to or from the soil mineral nitrogen pool depend on whether the decomposition step is an immobilization flux or a mineralization flux.

The equations provided in the article demonstrate the detailed calculations required to model the final decomposition fluxes of carbon and nitrogen in the soil biogeochemical cycling.