Constraining 3-PG with a new δ13C submodel: a test using the δ13C of tree rings

A semi-mechanistic forest growth model, 3-PG (Physiological Principles Predicting Growth), was extended to calculate C-13 in tree rings. The C-13 estimates were based on the model's existing description of carbon assimilation and canopy conductance. The model was tested in two approximate to 80-year-old natural stands of Abies grandis (grand fir) in northern Idaho. We used as many independent measurements as possible to parameterize the model. Measured parameters included quantum yield, specific leaf area, soil water content and litterfall rate. Predictions were compared with measurements of transpiration by sap flux, stem biomass, tree diameter growth, leaf area index and C-13. Sensitivity analysis showed that the model's predictions of C-13 were sensitive to key parameters controlling carbon assimilation and canopy conductance, which would have allowed it to fail had the model been parameterized or programmed incorrectly. Instead, the simulated C-13 of tree rings was no different from measurements (P>0.05). The C-13 submodel provides a convenient means of constraining parameter space and avoiding model artefacts. This C-13 test may be applied to any forest growth model that includes realistic simulations of carbon assimilation and transpiration.