For a photosynthetic production, we adopted the Michaelis-Menten hyperbolic function model (Farquhar). For an estimation of aspiration volume at branches and roots, we adopted an exponential function. And for an estimation of aspiration volume at leaves, we adopted a linear function based on the assumption that leaves' aspiration is proportional to the maximum carboxylation rate. Additionally we considered the effect of stomatal conductance variance with humidity and the thermal dependency of photosynthesis.
For the estimation of masting, we input a net primary production estimated by above functions in the Resource Budget model (Isagi et al, 1997). In the estimation, we supposed the distribution ratio for male flower production and seed fruition (male flower production/ seed fruition) was 0.6 to 0.8, estimated from dry weight ratio of flowers and seeds and from dispersion of individuals.
We estimated the male flower production from 2001 to 2007 with meteorological factors observed at Tokyo meteorological observatory and these models. The estimated production had a strong positive relationship with the actual flower production observed. The cost for male flower production was estimated 0.4 to 8.9 mgCO2 at square meter, the production of male flowers was 1,090 to 15,240 flowers at square meter, and the cost for one male flower production was estimated 0.0006 mgCO2.