Above- and below-ground biomass accumulation, production, and distribution of sweetgum and loblolly pine grown with irrigation and fertilization.

Abstract: Increased forest productivity has been obtained by improving resource availability through water and nutrient amendments. However, more stress-tolerant species that have robust site requirements do not respond consistently to irrigation. An important factor contributing to robust site requirements may be the distribution of biomass belowground, yet available information is limited. We examined the accumulation and distribution of above- and below-ground biomass in sweetgum (Liqrridambar sfyrac$lua L.) and loblolly pine (Pinus taeda L.) stands receiving irrigation and fertilization. Mean annual aboveground production after 4 years ranged from 2.4 to 5.1 ~g.ha-'.year' for sweetgum and from 5.0 to 6.9 ~g.ha-l.year-l for pine. Sweetgum responded positively to irrigation and fertilization with an additive response to irrigation + fertilization. Pine only responded to fertilization. Sweetgum root mass fraction (RME)in creased with fertilization at 2 years and decreased with fertilization at 4 years. There were no detectable treatment differences in loblolly pine RMF. Development explained from 67% to 98% of variation in shoot versus root allometry for ephemeral and perennial tissues, fertilization explained no more than 5% of the variation in for either species, and irrigation did not explain any. We conclude that shifts in allocation from roots to shoots do not explain nutrient-induced growth stimulations

Seleção de modelos polinomiais para representar o perfil e volume do fuste de Tectona grandis L.f. Selection of polynomial models to represent the profile and volume of the bole of Tectona grandisL.f.

A precisão do volume de um povoamento florestal torna-se importante à medida que as empresas florestais integram verticalmente suas atividades e o resíduo da elaboração de um produto torna-se matéria-prima para outros. Os estudos realizados objetivaram avaliar a acurácia dos modelos polinomiais propostos por Schöepfer (1966), Hradetzky (1976) e Goulding & Murray (1976), na estimativa dos diâmetros e volumes ao longo do fuste de Tectona grandis L.f. de quatro povoamentos localizados na microrregião do Baixo Rio Acre e, ainda, testar a identidade do melhor modelo polinomial, avaliando-se a adequação de manter as áreas agrupadas ou segregá-las em grupos menores ou individualmente. A base de dados foi constituída de 159 árvores cubadas rigorosamente. Na avaliação da acurácia dos modelos foram empregadas estatísticas de desvio médio, desvio padrão das diferenças, soma dos quadrados dos resíduos relativos e resíduos percentuais. O modelo Goulding & Murray (1976) gerou as melhores estimativas de diâmetros e volumes ao longo do fuste, seguido pelos modelos Hradetzky (1976) e Schöepfer (1966). O teste de identidade de modelo mostrou ser mais adequado realizar ajustes independentes para as áreas 1 e 4 e para o subgrupo 2 e 3.<br>The precise estimate of the volume of a forest stand become important as forest enterprises integrate vertically their activities and the residue of the manufacture of a product becomes the raw material for the manufacture of other. The accomplished studies aimed to evaluate the accuracy of the polynomial models proposed by Schöepfer (1966), Hradetzky (1976) and Goulding & Murray (1976) in the estimate of the diameters and volumes along the bole of Tectona grandis L.f from four stands situated in the Baixo Rio Acre micro region and further, to test the identity of the best polynomial model by evaluating the adequacy of maintaining the grouped areas or segregate them into smaller groups or singly. The data base was made up of 159 trees scaled rigorously. In the evaluation of the accuracy of the models, the statistics of average deviation, standard deviation of differences, square summation of relative residue and percent residue. The Goulding & Murray (1976) model was generated the best estimates of diameters and volume along the bole, followed by the models of Hradetzky (1976) and Schöepfer (1966). The model identity test proved more adequate to perform independent fit for areas 1 and 4 and for subgroup 2 and 3

Fitting a taper function to minimize the sum of absolute deviations Ajuste de uma função de afilamento via minimização da soma dos desvios absolutos

Multiple product inventories of forests require accurate estimates of the diameter, length and volume of each product. Taper functions have been used to precisely describe tree form, once they provide estimates for the diameter at any height or the height at any diameter. This study applied a goal programming technique to estimate the parameters of two taper functions to describe individual tree forms. The goal programming formulation generates parameters that minimize total absolute deviations (MOTAD). These parameters generated by the MOTAD method were compared to those of ordinary least squares (OLS) method. The analysis used a set of 178 trees cut from cloned eucalyptus plantations in the Southern part of the state of Bahia, Brazil. The values of the estimated parameters for the two taper functions resulted very similar when the two methods were compared. There was no significant difference between the two fitting methods according to the statistics used to evaluate the quality of the generated estimates. OLS and MOTAD resulted equally precise in the estimation of diameters and volumes outside and inside bark.<br>Os inventários florestais para múltiplos produtos requerem estimativas exatas do diâmetro, comprimento e volume de cada produto. As equações de afilamento têm sido usadas para descrever precisamente a forma da árvore uma vez que estas funções fornecem estimativas de diâmetro a qualquer altura ou de altura em qualquer diâmetro. Este trabalho aplica um modelo de programação por metas para estimar os parâmetros de duas equações de afilamento para descrever a forma do tronco de árvores individuais. O modelo de programação por metas gera parâmetros que minimizam a soma dos desvios absolutos (MOTAD). Esses parâmetros gerados pelo método MOTAD foram comparados aos parâmetros gerados pelo método dos mínimos quadrados ordinários (OLS). A análise se baseou em dados de cubagem de 178 árvores obtidas em plantios clonais de eucaliptos conduzidos na região sul da Bahia. Os valores dos parâmetros estimados por ambos os métodos de ajuste para as duas funções de afilamento mostraram-se muito semelhantes. Não houve diferença significativa entre os indicadores usados para avaliar a qualidade dos parâmetros estimados pelos dois métodos de ajuste. Os métodos OLS e MOTAD mostraram-se igualmente precisos na estimação de diâmetros e volumes com casca e sem casca