# Effects of curvature in hybrid poplar on acoustic velocity at the tree level

- Normand Paradis
^{1}and - Glen E Murphy
^{2}Email author

**43**:7

https://doi.org/10.1186/1179-5395-43-7

© Paradis and Murphy; licensee Springer. 2013

**Received: **16 July 2013

**Accepted: **16 July 2013

**Published: **8 August 2013

## Abstract

### Background and Methods

Measurements of stress wave velocity were performed with the Fibre-gen Director ST300 on 146 hybrid poplar (*Populus* sp.) plantation trees from GreenWood Resources Inc. located near the city of Boardman, Oregon USA. A laser scanner (Faro Focus 3D) was used to measure the curvature of the trees. Combinations of two software tools (Treemetrics Autostem and Sweep Extractor) were used to calculate the curvature for two log lengths (3 and 6 m) from a height of 10 cm above the ground. The propagation velocities of the stress waves were measured twice; first at breast height on the convex side of the stem and then at 90 degrees clockwise around the stem from the first measurement.

### Results and Conclusions

Analysis of the data showed that there was no significant difference (p = 0.24) between propagation velocities when the probes were located on either the convex side or at 90 degrees to the convex side. However, the propagation velocity was significantly greater on trees with higher curvature, suggesting that the velocities measured with the ST300 can take into account the presence of reaction wood (tension wood) in the tree.

## Keywords

## Background

The development of tools for non-destructive evaluation of mechanical properties of wood is constantly evolving (Beall, 2007; Brashaw et al., 2009). These tools are intended for stakeholders involved in the value creation chain of forest products (Bucur, 2006) where a better understanding of wood properties prior to conversion from one product form to another would better meet customer requirements. Among these non-destructive evaluation technologies are tools that measure the speed of propagation of stress waves, which is positively correlated with the stiffness of wood (Grabianowski et al., 2006). The Director ST300™ (Fibre-gen, Christchurch, New Zealand), which is designed to perform a stress wave velocity measurement directly on a standing tree (Auty, 2008), is one such tool. This information allows forest managers to select the resource based on mechanical properties of the wood that best meet the demand for raw materials for engineered wood production.

Plantation forest managers often make use of breeding programmes that emphasise growth rate, stem form, adaptability and disease resistance when choosing stock for replanting (Hernandez et al., 1998). In the case of hybrid poplar, trees can be grown large enough to generate saw timber pieces in less than 15 years. However, as shown by Clair et al. (2003) in research on chestnut, rapid growth in some hardwoods can generate an increase in the amount of reaction wood in the stem thereby reducing the economic potential of the resource due to increased shrinking/swelling and distortion of timber in service. Furthermore, previous studies in poplar have shown that the proportion of reaction wood can vary from 7 to 40% depending on the clone (Badia et al., 2006).

The influence of reaction wood on stress wave velocity directly measured on the standing tree is not well documented. The proportion of reaction wood is associated with environmental conditions experienced by the tree during its development (Badia et al., 2006). In the case of an environment characterised by the presence of strong wind, the tree will develop a tendency to produce reaction wood to change its centre of gravity so as to bring the stem to a vertical position (forming a curve). This change in the structure of the tree leads to an adjustment of the properties of wood at the section affected by this change, with reaction wood having mechanical properties that differ from “normal” wood. It was hypothesised that this change in the structure of the wood will have a measurable influence on stress wave velocity. In addition, we also hypothesise that the curvature of the stem may be a significant morphological criterion for detecting the presence of reaction wood, measurable with a tool such as the ST300. This information could be useful to optimise the standing tree measurement procedure or when acoustic tools are installed on harvesters for sorting logs based on stiffness.

Therefore, the objective of this study was to determine the impact of the presence of reaction wood on the velocity of the stress waves by: (1) comparing the stress wave velocity measurements made parallel to the curvature (convex side of the curve) of the stem and the other one perpendicular to the curvature, i.e. at 90 degrees to the first measurement; (2) determining whether stress wave velocity depends on the severity of the curvature by taking measurements on trees with high and low degrees of curvature and analysing these data using linear regression. The first series of measurements allowed us to determine if the position where acoustic tools are used on the tree will influence the resulting measurements, while the analyses in the second phase allowed us to evaluate the influence of the amplitude of curvature on the stress wave velocity.

## Methods

### Experimental design

The study was carried out in a plantation of two poplar hybrids (*Populus deltoides* × *nigra* and *Populus trichocarpa* × *deltoides*) belonging to GreenWood Resources, Inc. The plantation is situated south of the Columbia River a few kilometres from the city of Boardman in eastern Oregon, USA (45.77° N, 119.54° W). Plots were located within 8- or 13-year-old forest blocks with a stand density of approximately 750 stems ha^{-1}. The criteria for the location of the plots in the stands took into account the variability of the curvature of the trees so as to have some plots with predominantly straight stems and some plots with stems with very pronounced curvatures.

A total of 15 plots were located in the plantation with four of these selected based on the severity of the curvature of the trees; two had more pronounced curvature than average and, two had less pronounced curvature. The remaining eleven plots were randomly located. The plots were circular with an 8 m radius, yielding between 13 and 16 trees per plot.

The speed with which the mechanical wave travels depends on the type of wave generated, the properties of wood in the direction of wave propagation and the diameter of the tree (Wang et al., Wan 2007). The depth of the probes has an influence on the propagation time since the deeper the probe the shorter time taken by the transmitted wave to reach wood with a lower moisture content (heartwood), so allowing a faster propagation of mechanical waves. Therefore, insertion depth of the probes was kept constant at 3 cm to minimise the influence of this parameter. During the measurement, the probes were separated by a distance of 50 ± 5 cm.

The ST300 was tested using a standard brass bar and calibration procedure prior to use in the field. The velocities obtained during the calibration procedure (3.95 to 4.10 km s^{-1}) were always higher than the value specified in the calibration manual (3.75 km s^{-1}), meaning that the device used provided overestimates of velocity compared with a factory calibrated instrument. The error is a fixed difference in the time of flight which would result in a 6 to 13% overestimate of velocity; larger percentage differences being associated with larger true velocities. Velocities should not, therefore, be directly compared with values from other studies.

### Data processing

The data collected by the scanner were pre-processed using “Autostem” software (Treemetrics Ltd., Cork, Ireland) to obtain three dimensional stem profiles in an appropriate form for making a more thorough analysis of the curvature of the tree. The information generated by “Autostem” does not give the maximum value of the curvature but rather specifies the distance between a vertical axis and the centreline of the tree. Since the data collected by the scanner is very accurate (in the order of a millimetre), it is possible to measure the centreline, and therefore, the curvature of a tree regardless of the orientation of the curve relative to the scanner.

“Sweep Extractor” generated the data necessary to conduct a detailed study on the relationship between the curvature of the tree and the acoustic velocity. The analysis was applied to two lengths of logs; one extending 3.0 m above the stump (10 cm from the ground) and the other extending 6.0 m from the stump.

### Statistical analysis

Analyses were conducted to compare the stress wave velocities measured using the ST300 at different positions on the tree. The Tukey Honestly Significant Difference test available in the R package (R Development Core Team 2009) was used for all comparison tests. The velocities measured parallel to the curvature (from the convex face) were compared with those measured at 90 degrees to the first measurement. A test for normality of the distribution of the data was performed for this analysis with the Shapiro-Wilk test for normality. The test confirmed that the data were normally distributed (w = 0.9927 and p = 0.2427). It is noted, however, that samples whose speed exceeded 7.5 km s^{-1} were excluded because the ST300 was very sensitive to temperature, tending to overestimate the speed when the outside air temperature was less than 10°C. This resulted in a reduction in the number of sample trees from 146 to 128.

A comparison was also made between the velocities obtained from the 50 samples having the smallest curvatures and the velocities obtained from the 50 samples having the largest curvatures. For this analysis the average of the two velocities measured on the tree (parallel and perpendicular to the curvature) were used. The data were shown to be normally distributed for both the 3 m log length (w = 0.988 and p = 0.50) and the 6 m log length (w = 0.991 and p = 0.74). The threshold curvatures for the 3 m log lengths were <63 mm and >84 mm. The thresholds for the 6 m log length curvatures were <79 and >107 mm.

A linear regression analysis was applied to the results for the two log lengths. Acoustic velocity was considered to be the independent variable, and curvature and DBH were considered to be the dependent variables. For these two regressions, the averages of the two velocities measured on the tree (parallel and perpendicular to the curvature) were used since no significant difference was found between them.

## Results and discussion

**Characteristics related to 146 samples selected for the study**

Variable | Characteristic | |||
---|---|---|---|---|

Mean | SD | Min | Max | |

DBH (mm) | 260 | 39 | 140 | 339 |

Dev1 (mm) | 75 | 26 | 6 | 179 |

Dev2 (mm) | 96 | 37 | 35 | 344 |

Velocity ∥ (km s | 6.03 | 0.85 | 3.60 | 8.45 |

Velocity ⟂ (km s | 5.93 | 0.82 | 3.74 | 8.12 |

The results of the first comparison analysis show that there is no significant difference (p = 0.24) between measurements taken parallel (convex side) and at 90 degrees to the curvature of the tree. This result is consistent with the behaviour of the mechanical wave generated in this way. The wave front generated reflects all the characteristics associated with wood properties for the entire section of the stem where the measure is taken (Wang et al., 2007; Zhang et al., 2011).

**Average speed based on the curvature of the 50 least curved and 50 most curved stems**

Log length (m) | Curvature category | Curvature threshold (mm) | Mean velocity (km s | Pr(>F) |
---|---|---|---|---|

3 | Smallest 50 logs | <= 63 | 5.77 | 0.0013** |

3 | Largest 50 logs | >= 84 | 6.28 | |

6 | Smallest 50 logs | <= 79 | 5.80 | 0.012* |

6 | Largest 50 logs | >= 107 | 6.20 |

When linear regression was used to predict the acoustic velocity of the tree, the results showed that there was a very weak relationship, R^{2} = 0.10, between velocity and the stem curvature and DBH.

## Conclusion

The results demonstrated that the position of the ST300 probes on a tree with respect to the axis of maximum curvature does not affect the stress wave velocity measurement, since no significant difference was found between the velocity measurements taken parallel (convex side) or at 90 degrees to the curvature of the stem in hybrid poplar. However, a significant difference was observed between stress wave velocity in the wood of a stem whose curvature was small compared with the speed on a stem where the curvature was pronounced; average velocities were lower on stems having a small curvature than on stems having a large curvature, suggesting that the green reaction wood is stiffer than normal wood.

## Declarations

### Acknowledgements

The authors wish to thank Bruce Summers from GreenWood Resources Inc. for logistical support (transport and on-site accommodation) during fieldwork. Thanks to Jennifer Barnett for assistance with scanner measurements. This research was made possible with contributions from the ForValueNet network (Canada) and from the Stewart Professorship in Forest Engineering, Oregon State University (USA).

## Authors’ Affiliations

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## Copyright

This article is published under license to BioMed Central Ltd. This is an Open Access article distributed under the terms of the Creative Commons Attribution License (http://creativecommons.org/licenses/by/2.0), which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.