Carbon flux models in the Mata-Atlântica rain forest of Brazil

Analytical trophodynamics (AT) here provides an ODE model of fungal fusion (FF), a popular mechanism postulated for the origin and evolution of vascular plants. The mathematics is based on the Huxley Allometric Law (HAL) in a Finsler geometry setting. Two models are presented. One, previously published, about lichens, serves as a starting point for construction of a class of stable carbon production models which exhibit HAL and model FF. These models predict that the scatter of data points around the mean for surrogates of biomass in a young tree should not be statistically greater for an older tree. Also, a parabolic cone method for tree volume estimations in the Mata Atlântica is presented. When used together with the truncated cone method, accuracy should improve, at least in some cases. Finally, production is compared for classical ecological schemes.