Dynamic growth and yield model for Black pine stands in Spain

Abstract

In a forestry context, modelling stand development over time relies on estimates of different stand characteristics obtained from equations which usually constitute a multivariate system. In this study we have developed a stand growth model for even-aged stands of Black pine (Pinus nigra Arn.) in Spain. The 53 plots used to fit the equations came from the permanent sample plot network established by the Forest Research Centre (INIA) in 1963 and 1964 in the main distribution regions of Black pine. The model is made up of a system of equations to predict growth and yield in volume and basal area. In the fitting phase we took into account the correlation between the measurements within the same plot and the cross-equation residual correlations. The model incorporates a control function to estimate the thinning effect and a function for predicting the reduction in tree number due to regular mortality. In addition, we use the three parameter Weibull distribution function to estimate the number of trees in each diameter class by recovering the parameters using the moment method. The developed model is useful for simulating the evolution of even-aged stands with and without thinnings and allows the estimation of number of trees by diameter classes.Key words: stand growth model; system of equations; seemingly unrelated regression; Pinus nigra; Weibull distribution function. ResumenModelo dinámico de crecimiento y producción para rodales de Pinus nigra Arn. en España En la modelización forestal, el crecimiento de un rodal se expresa por medio de la evolución en el tiempo de diferentes características dasométricas estimadas a partir de ecuaciones que habitualmente constituyen un sistema de datos multivariante. En el presente trabajo se ha elaborado un modelo de crecimiento para rodales regulares de pino laricio (Pinus nigra Arn.) en España. Las 53 parcelas utilizadas para ajustar las ecuaciones pertenecen a la red de parcelas permanentes establecidas por el Instituto Nacional de Investigación y Tecnología Agraria y Alimentaria (INIA) en los años 1963 y 1964 en las principales zonas de distribución de pino laricio. El modelo se compone de un sistema de ecuaciones para predecir el crecimiento y la producción del volumen y el área basimétrica. En su ajuste se tuvo en cuenta la correlación entre los datos dentro de una misma parcela y la correlación de los residuos entre las distintas ecuaciones del sistema. El modelo incorpora una función de control para estimar el efecto de las claras y una función para predecir la reducción del número de árboles debido a la mortalidad regular. Además, utilizamos la función de distribución de Weibull con tres parámetros para estimar el número de árboles en cada clase diamétrica recuperando los parámetros por el método de los momentos. El modelo desarrollado es útil para simular la evolución de rodales regulares con y sin intervención de claras y permite la estimación del número de árboles por clases diamétricas.Palabras clave: modelo de crecimiento de rodal; sistema de ecuaciones; s...

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