Abstract

GONZALEZ MENDEZ, Miguel et al. Dominant height growth model for Pinus pseudostrobus Lindl. in Guerrero state. Rev. mex. de cienc. forestales [online]. 2016, vol.7, n.37, pp.7-20. ISSN 2007-1132.

Forest productivity can be expressed mathematically through equations describing growth patterns according to the different factors involved in the development of each species. The aim of the present study was to evaluate the fit of three dynamic growth equations in dominant height in generalized algebraic difference (GADA), in order to construct a family of site index curves with a reference age of 15 years. The trunk analyzes of 55 Pinus pseudostrobus trees were used, which were analyzed longitudinally, in order to obtain the true height of the central ring that surrounds the core of the tree. The adjustments were made using the nested iterative method, which is invariant with respect to the base age; in addition, the structure of the error was simulated with a second order autoregressive model to correct the dependence of longitudinal errors inherent to the data obtained in the stems of the trees. The equations in GADA form allowed the definition of a family of polymorphic curves with variable asymptotes, which implies that each site has different growth rates. A dynamic equation based on the Chapman-Richards model was selected because it showed the best fit quality; the coefficient of determination ($R_{\alpha }^2$) was 0.9931 and the root mean square error (RMSE) was 0.5879 m. The family of curves obtained with this equation accurately models the trajectory of the observed data for the prediction of the dominant height and site index.

Keywords : Dominant height; growth curves; GADA; site index; Pinus pseudostrobus Lindl.; complex polymorphism.

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