Representation of Tree Stem Taper Curves and Their Dynamic, Using a Linear Model and the Centroaffine Transformation

Gaffrey, D.; Sloboda, B.; Matsumura, Naoto

doi:10.1007/bf02760304

Cited by 10 publications

(6 citation statements)

References 3 publications

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“…One limitation to estimating volume is the lack of an efficient, accurate, and objective methodology. Taper functions represent the change in diameter in relation to height along a tree stem [1,2], and are widely used to estimate total stem volume as well as merchantable volume to a specified top diameter limit [3]. A range of functions has been developed, from simple equations describing general growth forms to equations specific to particular species [4][5][6][7][8][9][10].…”

Section: Introductionmentioning

confidence: 99%

Deriving Merchantable Volume in Poplar through a Localized Tapering Function from Non-Destructive Terrestrial Laser Scanning

Sun

Liang

et al. 2016

Forests

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Abstract:Timber volume is an important ecological component in forested landscapes. The application of terrestrial laser scanning (TLS) to volume estimation has been widely accepted though few species have well-calibrated taper functions. This research uses TLS technology in poplar (Populusˆcanadensis Moench cv. 'I-72/58') to extract stem diameter at different tree heights and establish the relationship between point cloud data and stem curve, which constitutes the basis for volume estimation of single trees and the stand. Eight plots were established and scanned by TLS. Stem curve functions were then fitted after extraction of diameters at different height, and tree heights from the point cloud data. Lastly, six functions were evaluated by R 2 and RMSE. A modified Schumacher equation was the most suitable taper function. Volume estimates from the TLS-derived taper function were better than those derived using the stem-analysis data. Finally, regression analysis showed that predictions of stem size were similar when data were based on TLS versus stem analysis. Its high accuracy and efficiency indicates that TLS technology can play an important role in forest inventory assessment.

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Section: Introductionmentioning

confidence: 99%

Deriving Merchantable Volume in Poplar through a Localized Tapering Function from Non-Destructive Terrestrial Laser Scanning

Sun

Liang

et al. 2016

Forests

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“…Krepela (2002) or, sophisticated models based on biological and elastomechanical context can be sought for, e.g. Chiba and Shinozaki (1994) or Gaffrey et al (1998). For a discussion of current taper curve models cf.…”

Section: Assessing Tree Bole Cylindricitymentioning

confidence: 99%

Inference on 3D Procrustes Means: Tree Bole Growth, Rank Deficient Diffusion Tensors and Perturbation Models

Huckemann¹

2011

Scandinavian J Statistics

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The Central Limit Theorem (CLT) for extrinsic and intrinsic means on manifolds is extended to a generalization of Fréchet means. Examples are the Procrustes mean for 3D Kendall shapes as well as a mean introduced by Ziezold. This allows for one-sample tests previously not possible, and to numerically assess the 'inconsistency of the Procrustes mean' for a perturbation model and 'inconsistency' within a model recently proposed for diffusion tensor imaging. Also it is shown that the CLT can be extended to mildly rank deficient diffusion tensors. An application to forestry gives the temporal evolution of Douglas fir tree stems tending strongly towards cylinders at early ages and tending away with increased competition.

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“…The most straightforward way might be to estimate tree trunk tapering and then divide the trunk into sections corresponding to the size requirements of any assortment. Estimation of trunk tapering is relatively straightforward since there is a large body of literature discussing taper curves (Kilkki and Varmola 1981, Ojansuu and Maltamo 1995, Gaffrey et al 1998, Strub et al 2005, Saarinen et al 2019. Such a procedure, however, would neglect quality requirements, apart from the required dimensions.…”

Section: Introductionmentioning

confidence: 99%

Empirical observations of the yield of logs from trees of the boreal region

Kärenlampi¹

2022

BALT FOR

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The yield of sawlogs and plywood logs from boreal trees is discussed. First, taper curves are used to compute geometric (maximal) sawlog and plywood log contents. Then, a quality reduction is implemented, according to previously published models. Finally, the outcome is verified using empirical observations. Regarding spruce trees, the different estimates of sawlog content agree. In the case of birch and pine trees, the estimates differ. The sawlog and plywood log yield from large trees is greater than prognosticated one, probably due to missing over-aged trees in the empirical data. The yield of sawlogs and plywood logs from small trees is smaller than prognosticated one, most of the empirical data originating from thinnings with a focus on the quality of the remaining trees. The sawlog content of individual trees from clearcutting displays a skew distribution around the expected value. The distribution in thinning trunks shows a binary component, with a large proportion of trees with zero sawlog content. Keywords: sawlog; plywoodlog; Picea abies; Betula species; Pinus sylvestris

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Representation of Tree Stem Taper Curves and Their Dynamic, Using a Linear Model and the Centroaffine Transformation

Cited by 10 publications

References 3 publications

Deriving Merchantable Volume in Poplar through a Localized Tapering Function from Non-Destructive Terrestrial Laser Scanning

Deriving Merchantable Volume in Poplar through a Localized Tapering Function from Non-Destructive Terrestrial Laser Scanning

Inference on 3D Procrustes Means: Tree Bole Growth, Rank Deficient Diffusion Tensors and Perturbation Models

Empirical observations of the yield of logs from trees of the boreal region

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