A Method for Estimating Fractal Dimension of Tree Crowns From Digital Images

Zhang, Dongsheng; Samal, Ashok; Brandle, James R.

doi:10.1142/s0218001407005090

Cited by 18 publications

(9 citation statements)

References 15 publications

(21 reference statements)

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“…For instance, measuring a coastline with a 1-km scale will have a shorter length than measuring with a 1-m scale and a still shorter length than measuring with a 1-cm scale. This property, known as the Richardson effect, is used to estimate the fractal dimension by repeatedly measuring its length (L) with different size measuring scales (S) and solving for D in the regression equation Log (Mandelbrot, 1967;Zhang et al, 2007). In this model, the calculation was done with two scale sizes (1 cm and 60% of the maximum distance between tips) for the generated trees and used in the point source equation (Appendix A).…”

Section: Theory and Modelmentioning

confidence: 99%

A Novel Framework to Consider Endogenous Hormonal Control of Apple Tree Flowering

Pellerin¹,

Buszard²,

Georgallas³

et al. 2012

horts

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Inhibition of flower initiation by nearby developing fruits is one of the main causes of biennial bearing in apple trees. This localized inhibition may depend on a critical ratio of inhibitor and promoter hormones that inhibits flowering of apical meristems. A model is proposed to explain this phenomenon. In the model, it is assumed that seeds and leaves act as point sources and export inhibiting and promoting hormones to apical meristems. The model assumes critical ratios of promoting and inhibiting hormones determine whether an apical meristem flowers or not and this may be a cause of biennial bearing. Thus, the spatial arrangement of shoot apical meristems on a limb is perhaps critical in determining whether meristems initiate flower clusters. This article presents a novel framework to view the hormone hypotheses of biennial bearing in apple trees and how management strategies such as flower removal could be used to achieve regular numbers of flower clusters over consecutive years.

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Section: Theory and Modelmentioning

confidence: 99%

A Novel Framework to Consider Endogenous Hormonal Control of Apple Tree Flowering

Pellerin¹,

Buszard²,

Georgallas³

et al. 2012

horts

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show abstract

“…For effective management of orchard crops, precise knowledge of the size, shape and spatial distribution of the canopy allow decisions to be made about operational interventions (Gongal et al 2016). In forestry, the structural assessment of tree crowns has been shown to be a reliable proxy of tree condition (Zhang et al 2007;Murray et al 2018). In agriculture, quantifying individual tree structure is important both for informing pruning regimes and for the precision application of irrigation, fertilisation and other inputs considered necessary to increase fruit yield (Lauri et al 2004).…”

Section: Introductionmentioning

confidence: 99%

The novel use of proximal photogrammetry and terrestrial LiDAR to quantify the structural complexity of orchard trees

et al. 2019

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Within the agrifood sector, the production of high yields is a driver for UK orchard husbandry. Currently, orchard tree management is typically a non-discriminatory method with all trees subjected to the same interventions. Previous studies indicate that structural complexity of individual orchard trees is an indicator for future yield, which can guide the management of individual trees. However, data on the structure of individual trees is often limited. This study investigated the suitability of using remote sensing methods to capture data that can be used to quantify tree structure. Descriptive metrics based on the mathematical assessment of self-affinity and dimensionality were applied to the remotelysensed data to quantify tree structure, and were also analysed for suitability as a predictor of fruit yield. The findings suggest that while proximal photogrammetry is informative, terrestrial LiDAR data can be used to quantify structural complexity most effectively and this approach holds greater potential for informing orchard management.

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“…However, modern estimation methods based on remotely sensed acquired data may not be affordable in many circumstances due to challenges presented by high computational power, big data, logistics, data acquisition costs (Strîmbu and Strîmbu, 2015;Wulder et al 2012) and software licenses (Sönmez, 2009;Zhang et al, 2007;Song et al, 2003). Therefore, traditional methods of estimation still show potential.…”

Section: Introductionmentioning

confidence: 99%

Analytical approaches for modeling tree crown volume in black wattle (Acacia mearnsii De Wild.) stands

Guilherme¹,

Carlos²,

Sylvio³

et al. 2016

Afr. J. Agric. Res.

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In this paper, four strategies were proposed for modeling tree crown volume using as independent variable stem variables, crown variables, combination of stem and crown variables, and stem volume. We used a dataset comprised of 170 trees from 12 temporary plots located in forest stands in southern Brazil. Models composed of stem variables presented weaker predictive ability. The best model contained crown variables, which explained 78.95% of observed variability. However, implementation of such model is bounded by its independent variables, which are not often measured in forest inventories. The model composed by diameter at breast height and crown length proved to be an adequate modeling approach. The predictive capability was kept by model , which is composed by most easily measured variable in a forest -diameter at breast height, also by the most easily acquirable crown variable -crown length. In our suggested model, estimates of and are coefficients that convert volume of a regular geometric solid -RGS is dbh² times crown length) -into crown volume, whilst estimate of is an allometric constant.

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A Method for Estimating Fractal Dimension of Tree Crowns From Digital Images

Cited by 18 publications

References 15 publications

A Novel Framework to Consider Endogenous Hormonal Control of Apple Tree Flowering

A Novel Framework to Consider Endogenous Hormonal Control of Apple Tree Flowering

The novel use of proximal photogrammetry and terrestrial LiDAR to quantify the structural complexity of orchard trees

Analytical approaches for modeling tree crown volume in black wattle (Acacia mearnsii De Wild.) stands

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