A model for the relationship between form-factors for stem volume and those for stem surface area in coniferous species

Inoue, Akio

doi:10.1007/s10310-006-0210-2

Cited by 21 publications

(20 citation statements)

References 5 publications

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“…To compare culm characteristics, height to diameter ratio (HDR) [56] and breast height form-factor for apparent culm volume (λ b ) [57] were calculated from modeling data. The former is known as a slenderness coefficient, whereas the latter is a measure of culm tapering.…”

Section: Analyses Methodsmentioning

confidence: 99%

Allometric Equations for Predicting Culm Surface Area of Three Bamboo Species (Phyllostachys spp.)

Inoue

Miyazawa²,

Sato

et al. 2018

Forests

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It is strongly debated whether bamboo forest ecosystems are a carbon sink or a carbon source because of insufficient knowledge regarding carbon loss via CO 2 emissions from these forests. The surface area (S) of bamboo culms (stems) is important for estimating culm respiration, a major component of carbon cycling in bamboo forests. However, few studies have attempted to formulate predictive equations for S. In this study, we developed allometric equations for predicting S in three bamboo species grown in Kyushu Island, western Japan: Phyllostachys pubescens Mazel ex Houz., P. bambusoides Sieb. et Zucc. and P. nigra var. henonis. We used a power equation between S and diameter at breast height (D) and a linear equation between S and D × total culm length (H). The results indicated that P. bambusoides and P. nigra shared common site-independent equations. In contrast, P. pubescens required species-specific equations due to interspecific variation in culm slenderness and tapering. We also found that D was a better predictive variable than DH when quantifying S because of its satisfactory predictive performance and simplicity. These findings will be beneficial for evaluating the contribution of bamboo forest ecosystems to carbon cycling.

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Section: Analyses Methodsmentioning

confidence: 99%

Allometric Equations for Predicting Culm Surface Area of Three Bamboo Species (Phyllostachys spp.)

Inoue

Miyazawa²,

Sato

et al. 2018

Forests

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“…A direct measurement of S of standing trees is difficult (Inoue 2004). The most reliable measurement method is destructive sampling as follows: 1) The target tree is felled at ground level and all branches are cut from the stem; 2) The stem diameters are directly measured at a dozen points along the stem; and 3) S is calculated by the sectional measurement method (Inoue and Sakamoto 2017;Inoue et al 2018) or the integration of stem taper equation (Inoue 2004(Inoue , 2006. Such destructive sampling is, however, time-consuming and labor-intensive (Inoue et al 2018).…”

Section: Introductionmentioning

confidence: 99%

Comparison of models for estimating stem surface area of coniferous trees grown in old-growth natural forests

Inoue

Koyama

Koshikawa

et al. 2020

Journal of Forest Research

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“…However, it continues being a useful reference in research problems that depends on tree stem geometry. For instance, it has been used to derive the equation for the centroid position in the development of the centroid sampling method for tree stem volume estimation (Wood et al, 1990) and to derive a general relation between stem volume and stem surface form-factors independent of position (Inoue, 2006). This work shows the derivation of a general sectional volume equation for the classical tree stem geometries.…”

Section: Introductionmentioning

confidence: 99%

A general sectional volume equation for classical geometries of tree stem

León

2016

MYB

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This work refers to the classical theory of tree stem form. It shows the derivation of a general sectional volume equation for frustums of solids of revolution generated by the function y 2 = p n x n where, p n is a positive constant, and n any positive integer. The cylinder case presents a singular situation because of its sectional volume equation cannot be defined for n = 0 as it is known for the generating function. However, that geometry is implicit as a trivial solution of the derived equation. The known sectional volume equations for frustums of paraboloid, conoid and neiloid are particular cases of that equation for n =1, 2, and 3, respectively. The general sectional volume equation has an unexpected statistical nature. It is given as an arithmetic mean of geometric means The classical theory of tree stem form continue being present in the forest measurement teaching and research. This work could contribute to improve the understanding on that theory.PALABRAS CLAVE: Dendrometry, applied mathematics. RESUMENEste trabajo se refiere a la teoría clásica de la forma del tronco del árbol. Se muestra la derivación de una ecuación de volumen general de la sección de sólidos de revolución truncados generada por la función y 2 = p n x n donde, p n es una constante positiva, y n un entero positivo. El caso del cilindro constituye un caso singular pues su ecuación de volumen de la sección no se puede definir para n = 0, ya que es conocido por la función generadora. Sin embargo, esa geometría está implícita como una solución trivial de la ecuación derivada. Las ecuaciones conocidas de volumen de secciones truncadas de paraboloides, conoides y neiloides son casos particulares de la ecuación para n = 1, 2 y 3, respectivamente. La ecuación general de volumen de la sección es de una naturaleza estadística inesperada. Se da como una media aritmética de medias geométricas. La teoría clásica de la forma del árbol sigue estando presente en la enseñanza de medición e investigación forestal. Este trabajo podría contribuir a mejorar la comprensión de esa teoría.PALABRAS CLAVE: Dendrometría, matemáticas aplicadas.

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A model for the relationship between form-factors for stem volume and those for stem surface area in coniferous species

Cited by 21 publications

References 5 publications

Allometric Equations for Predicting Culm Surface Area of Three Bamboo Species (Phyllostachys spp.)

Allometric Equations for Predicting Culm Surface Area of Three Bamboo Species (Phyllostachys spp.)

Comparison of models for estimating stem surface area of coniferous trees grown in old-growth natural forests

A general sectional volume equation for classical geometries of tree stem

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