Growth and yield models for eucalyptus stands obtained by differential equations

Abstract

The main purpose of this study was to assess nonlinear models generated by integrating the basal area growth rate to estimate the growth and yield of forest stands. The database was collected from permanent sample units, in Paraopeba county, in the state of Minas Gerais, Brazil. The stands were represented by Eucalyptus camaldulensis × Eucalyptus urophylla hybrid trees, with 3 × 3 meters of spacing. The data were divided into two groups: fitting and validating databases. Two nonlinear models (Strategy A and Strategy B) were developed using differential equations to estimate the basal area growth and yield of the sample units. The logistic model was fitted to estimate the volumetric yield as a function of age, site index and basal area. The efficiency of the systems generated by logistic model and models obtained by differential equations (Strategy A and Strategy B) was also compared to the efficiency of the system estimated by the Clutter model (Strategy C). The projection models used to estimate basal area obtained by differential equations were compatible with forest growth and yield, and the logistic model with covariates was compatible with volumetric growth and yield. Strategy A and Strategy B generated different thinning and harvesting options for different site indices, which is biologically consistent.

Non-linear growth models for tree species used for forest restoration in Brazilian Amazon Arc of Deforestation

“…Among these models, the logistic function (Verhulst, 1838) has been widely used for growth and yield studies in different forest types, mainly due to its asymptotic shape with inflection point and parameters with biological interpretation (e.g. Mendonça et al, 2017). The use of a covariant in the parameters of this model may represent gains in the model fitting and allows testing other sources of variation to the response variable (Alves et al, 2017).…”