Ochroma pyramidale (Cav. ex. Lam.) Urb. (balsa-tree) is a commercially important tree species that ranges from Mexico to northern Brazil. Due to its low weight and mechanical endurance, the wood is particularly well-suited for wind turbine blades, sporting equipment, boats and aircrafts; as such, it is in high market demand and plays an important role in many regional economies. This tree species is also well-known to exhibit a high degree of variation in growth. Researchers interested in modeling the height–diameter relationship typically resort to using ordinary least squares (OLS) to fit linear models; however, this method is known to suffer from sensitivity to outliers. Given the latter, the application of these models may yield potentially biased tree height estimates. The use of robust regression with iteratively reweighted least squares (IRLS) has been proposed as an alternative to mitigate the influence of outliers. This study aims to improve the modeling of height–diameter relationships of tree species with high growth variation, by using robust regressions with IRLS for data-sets stratified by site-index and age-classes. We implement a split sample approach to assess the model performance using data from Ecuador’s continuous forest inventory (n = 32,279 trees). A sensitivity analysis of six outlier scenarios is also conducted using a subsample of the former (n = 26). Our results indicate that IRLS regression methods can give unbiased height predictions. At face value, the sensitivity analysis indicates that OLS performs better in terms of standard error of estimate. However, we found that OLS suffers from skewed residual distributions (i.e., unreliable estimations); conversely, IRLS seems to be less affected by this source of bias and the fitted parameters indicate lower standard errors. Overall, we recommend using robust regression methods with IRLS to produce consistent height predictions for O. pyramidale and other tree species showing high growth variation.
La caracterización del comportamiento de la variación espacial de atributos dendrométricos de especies tropicales en sistemas agroforestales es importante para su manejo y, en ese sentido, la geoestadística se destaca por utilizar técnicas capaces de caracterizar esa variación. Se utilizaron métodos geoestadísticos para evaluar y mapear la variabilidad espacial del diámetro a 1.3 m del nivel del suelo (dap), de la altura comercial (hc) y del volumen comercial (vc) de árboles de Swietenia macrophylla King, plantadas en un sistema agroforestal en la Amazonia brasileña. El muestreo de campo se realizó con base en una cuadrícula de 50 m × 50 m, que resultó en 36 puntos sistemáticos. En cada punto, se instaló una parcela circular de 500 m2 para medir el dap y la hc. El vc fue estimado con la ecuación mejor ajustada a los datos de cubicación de 108 árboles. Luego se modelaron los patrones de distribución espacial de las variables por medio de la geoestadística y se utilizó kriging ordinario para generar mapas con predicciones e incertidumbres de las variables. El modelo de Schumacher-Hall resultó en la mejor ecuación para estimar el vc y la cuadrícula sistemática utilizada mostró ser eficiente para detectar los patrones espaciales de esas variables. Los modelos de semivariogramas ajustados demostraron la fuerte dependencia espacial del dap, de la hc y del vc, lo que permitió hacer interpolaciones precisas, generando resultados de validación cruzada sin tendencia, principalmente para vc que presentó el modelo teórico mejor ajustado.
ResumoPartículas atmosféricas contaminantes em áreas urbanas associadas principalmente com a queima de combustíveis fosseis se depositam, em parte, na superfície das folhas das árvores. Isso promove alterações físicas nas plantas que podem ser analisadas por meio de suas respostas metabólicas. Este estudo objetivou avaliar a eficiência no acúmulo de particulados atmosféricos pela folhagem, assim como determinar a influência dos particulados nos pigmentos fotossintéticos clorofila a e b e carotenoides em árvores de Tabebuia aurea (Silva Manso) Benth. & Hook. f. ex S. Moore e Azadirachta indica A. Juss. localizadas em praças públicas na cidade de Patos, PB. Foram selecionadas árvores localizadas em dez praças públicas com alto e baixo fluxo veicular. O acúmulo de particulados atmosféricos nas folhas das árvores foi quantificado em laboratório e correlacionado com os resultados do teor dos pigmentos fotossintéticos. A determinação dos teores de clorofila a e b e carotenoides foi realizada segundo o método de Lichtenthaler e Buschmann com leitura em espectrofotômetro. Foi aplicado o teste t (p < 0,05) para comparação de médias e calculado o coeficiente de correlação de Pearson para avaliar as interações entre as variáveis. Os resultados evidenciam que a espécie T. aurea é mais eficiente do que A. indica na captura de partículas contaminantes suspensas no ar através de sua folhagem. Não foi demostrada uma tendência clara da influência do acúmulo de particulados atmosféricos na clorofila a e b e carotenoides, assim como da influência do fluxo veicular na retenção de particulados atmosféricos por ambas espécies. Palavras-chave: Poluição atmosférica; fotossíntese; arborização urbana; serviços ecossistêmicos; semiárido brasileiro.Abstract Contaminant atmospheric particles in urban areas associated with the burning of fossil fuels are deposited in part on the surface of the trees' leaves; this promotes physical changes in the plants that can be analyzed through their metabolic responses. This study aimed to evaluate the efficiency of the accumulation of atmospheric particulates in the foliage as well as to determine the influence of the particulates in the photosynthetic pigments chlorophyll a and b and carotenoids in Tabebuia aurea (Silva Manso) Benth. & Hook. f. ex S. Moore and Azadirachta indica A. Juss. located in public squares, in the city of Patos, PB. Trees located in public places with both high and low vehicle traffic were selected. The accumulation of atmospheric particulates in the trees' leaves was quantified in laboratory and correlated with the results of the content of the photosynthetic pigments. The determination of the levels of chlorophyll a and b and carotenoids was performed according to the method of Lichtenthaler and Buschmann with a spectrophotometer reading. The t test was used (p <0.05) to compare means and the Pearson correlation coefficient was calculated to evaluate the interactions between the variables. The results show that the T. aurea species is more efficient than A. indica at capturing...
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