Trigonometric Variable-Form Taper Equations for Australian Eucalypts

By Huiquan Bi. Forestry sciences, 2000

134 citations recorded by the source corpus.

This article introduces a new variable-form taper model that is stable in specification yet flexible in its ability to fit data for species and trees with different stem forms. The base function is constructed from trigonometric volume-ratio equations following the geometry of a tree stem. The specification for the exponent includes variables for depicting changes in stem form along a stem and variables for taking into account differences in stem form among trees of different sizes. This model is fitted to data from 25 species of Australian eucalypts and is compared with Kozak's taper model to demonstrate its characteristics: stability in specification, flexibility in fitting data for species and trees with varying stem forms and accurate predictions of taper and merchantable height. FOR. SCI. 46(3): 397–409.

Subfields: Mechanical Engineering, Nature and Landscape Conservation, Plant Science

View Paper: https://www.semanticscholar.org/paper/4040f5a89ee1db6200c30164133b17d69cfb16ce

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In Mechanical Engineering

In Nature and Landscape Conservation

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Citations in the corpus

An improved theoretical model of canopy gap probability for Leaf Area Index estimation in woody ecosystems (2015, methodology): “Similar identified species from Bi (2000) were cross-referenced with attributes from the Rushworth Box Ironbark species to ensure a valid match.”
Stem taper functions for Abies nordmanniana subsp. bornmulleriana in Turkey (2008, methodology): “, 1987; Farrar, 1987) and four variable-form functions (Kozak, 1988; Perez et al., 1990; Zakrzewski, 1999; Bi, 2000).”
Modeling Forest Trees and Stands (2012, background): “…height x D hi =h: di 2 D d 2 hi hd 2 .b1Cb2xCb3x2/ h hi h hd (2.33) In an effort to overcome the weakness of unstable specification in the variableform taper models introduced by Newnham (1988, 1992) and Kozak (1988, 1997), Bi (2000) constructed the base function from trigonometric equations.”
Regional stem taper equations for eleven conifer species in the Acadian Region of North America: development and assessment. (2012, background): “Conventionally, taper equations are divided into two major categories: segmented taper equations, represented by Max and Burkhart (1976) and Clark et al. (1991), and continuous variable exponent or form taper equations, which are exemplified by Kozak (1988, 2004), Zakrzewski (1999), and Bi (2000).”
Stem taper functions for maritime pine (Pinus pinaster Ait.) in Galicia (Northwestern Spain) (2005, methodology): “This problem can be solved by developing stem taper functions or stem form equations (Kozak 1988; Newnham 1992; Riemer et al. 1995; Bi 2000).”