Crown condition, needle mass, and sapwood area relationships of Norway spruce (Picea abies)

2000 ◽  
Vol 30 (10) ◽  
pp. 1646-1654 ◽  
Author(s):  
Otto Eckmüllner ◽  
Hubert Sterba
Keyword(s):  
Picea Abies ◽  
Norway Spruce ◽  
Condition Assessment ◽  
Cross Sectional Area ◽  
Sectional Area ◽  
Crown Condition ◽  
Cross Sectional ◽  
Sapwood Area ◽  
Good Estimator ◽  
Needle Mass

Crown-condition assessment, hypothesized to estimate needle losses following damage from several sources, one of which might be air pollution, suffers from the subjective notion of a standard "healthy" tree. On the other hand, the foliage biomass - sapwood area ratios are reported to depend on a number of factors, e.g., site quality, stand density, crown class, and tree ring width conductivity. The authors hypothesize that early sapwood area might help to even better estimate needle biomass of Norway spruce (Picea abies (L.) Karst.) and to help standardize crown-condition assessment. Thirty-six Norway spruce trees at two Austrian sites, from three age-classes, three crown classes, and two crown-condition classes were felled. Needle mass, cross-sectional area, sapwood area, and early sapwood area (i.e., sapwood area excluding latewood) were measured. The results of this study indicate that indeed early sapwood area is a good estimator of foliage, independent of site, age, crown class, and crown condition. The ratio between early sapwood area and cross-sectional area could be a good estimator for crown condition and thus help to standardize crown-condition assessments by different surveyors.

Foliage area–sapwood area relationships of Scots pine (Pinussylvestris) trees in different climates

1994 ◽  
Vol 24 (11) ◽  
pp. 2263-2268 ◽  
Author(s):  
Frank Berninger ◽  
Eero Nikinmaa
Keyword(s):  
Scots Pine ◽  
Area Ratio ◽  
Cross Sectional Area ◽  
Sectional Area ◽  
Clear Trend ◽  
Cross Sectional ◽  
Sapwood Area ◽  
Excess Water ◽  
Total Cross Sectional Area ◽  
Lower Ratio

Foliage mass and wood cross-sectional area were measured at different points of branches and stems within the living crown of Scots pine (Pinussylvestris L.) trees from sample plots, representing wide geographical variation. The measurements were taken during the period of annual minimum foliage mass. The needle mass: branch cross-sectional area ratio, measured below the lowest living whorl of sub-branches, differed among measured points and was normally lower for the uppermost branches, but also decreased in the lower canopy. The decrease at the lower canopy was hypothesized to reflect an excess water transport capacity resulting from the senesced needles. The lower ratio in the uppermost branches might be explained by M.H. Zimmermann's hypothesis that the water supply of foliage close to the stem is preferred. A similar trend in the branch area: stem area ratio was observed along the stem. There seemed to be strong geographic variation in the ratio between the total cross-sectional area of branches of the crown measured and the stem cross-sectional area below the living crown. The branch area: stem area ratio was higher in the southern stands, whereas there was no clear trend for the needle area: branch area ratio. The results are discussed in relation to the hydraulic architecture of trees.

Scots pine and Norway spruce foliage biomass in Finland and Sweden — testing traditional models vs. the pipe model theory

2020 ◽  
Vol 50 (2) ◽  
pp. 146-154 ◽  
Author(s):  
Aleksi Lehtonen ◽  
Juha Heikkinen ◽  
Hans Petersson ◽  
Boris Ťupek ◽  
Eero Liski ◽  
...  
Keyword(s):  
Norway Spruce ◽  
Scots Pine ◽  
Accurate Method ◽  
Cross Sectional Area ◽  
Sectional Area ◽  
Tree Crown ◽  
Cross Sectional ◽  
Pipe Model ◽  
Biomass Models ◽  
Model Approach

The pipe model approach was compared with foliage biomass models by using the cross-sectional area at the tree crown base for predicting foliage biomass of Scots pine (Pinus sylvestris L.) and Norway spruce (Picea abies (L.) Karst.). We evaluated the impacts of site type, fertilization, and climate on the relationship between foliage biomass and cross-sectional area at the tree crown base, referred as to the pipe model ratio. Our hypotheses were that (i) the pipe model approach is a more precise and accurate method for foliage prediction than the traditional biomass models and (ii) the pipe model ratio for foliage does not explicitly depend on any single environmental driver. Data used here consisted of felled trees from Finnish and Swedish biomass studies. These data were analyzed by linear mixed models with different covariates, and the uncertainties of different modelling approaches were evaluated. The pipe model outperformed other models for Scots pine but not for Norway spruce. Results showed larger pipe model ratios for Scots pine in herb-rich forests compared with those of trees in subxeric heath forest. Results from fertilized trees indicated that the addition of nitrogen temporarily increased foliage biomass.

Application of the pipe model theory to predict canopy leaf area

1982 ◽  
Vol 12 (3) ◽  
pp. 556-560 ◽  
Author(s):  
R. H. Waring ◽  
P. E. Schroeder ◽  
R. Oren
Keyword(s):  
Leaf Area ◽  
Model Theory ◽  
Large Fraction ◽  
Cross Sectional Area ◽  
Unit Weight ◽  
Sectional Area ◽  
Cross Sectional ◽  
Sapwood Area ◽  
Pipe Model ◽  
Pipe Model Theory

The pipe model theory presents the idea that a unit weight of tree foliage is serviced by a specific cross-sectional area of conducting sapwood in the crown. Below the crown, a large fraction of the tree bole may be nonconducting tissue, so the sapwood area would have to be known to estimate foliage. We applied the pipe model theory to the analysis of several western coniferous species to learn whether the distribution of canopy leaf area could be accurately estimated from knowledge of the sapwood cross-sectional area at various heights, including breast height (1.37 m). Results are excellent, but taper in the conducting area must be considered when sapwood area is measured below the crown.

Pelvic Canal Narrowing Caused by Triple Pelvic Osteotomy in the Dog

1994 ◽  
Vol 07 (03) ◽  
pp. 110-113 ◽  
Author(s):  
D. L. Holmberg ◽  
M. B. Hurtig ◽  
H. R. Sukhiani
Keyword(s):  
Postoperative Complications ◽  
Pelvic Osteotomy ◽  
Cross Sectional Area ◽  
Sectional Area ◽  
Cross Sectional ◽  
Canal Width ◽  
Operative Complications ◽  
Post Operative Complications

SummaryDuring a triple pelvic osteotomy, rotation of the free acetabular segment causes the pubic remnant on the acetabulum to rotate into the pelvic canal. The resulting narrowing may cause complications by impingement on the organs within the pelvic canal. Triple pelvic osteotomies were performed on ten cadaver pelves with pubic remnants equal to 0, 25, and 50% of the hemi-pubic length and angles of acetabular rotation of 20, 30, and 40 degrees. All combinations of pubic remnant lengths and angles of acetabular rotation caused a significant reduction in pelvic canal-width and cross-sectional area, when compared to the inact pelvis. Zero, 25, and 50% pubic remnants result in 15, 35, and 50% reductions in pelvic canal width respectively. Overrotation of the acetabulum should be avoided and the pubic remnant on the acetabular segment should be minimized to reduce postoperative complications due to pelvic canal narrowing.When performing triple pelvic osteotomies, the length of the pubic remnant on the acetabular segment and the angle of acetabular rotation both significantly narrow the pelvic canal. To reduce post-operative complications, due to narrowing of the pelvic canal, overrotation of the acetabulum should be avoided and the length of the pubic remnant should be minimized.

DETERMINATION OF THE FUNCTION OF THE ROD’S CROSS-SECTIONAL AREA USING VIBRATION EIGENFREQUENCIES

2020 ◽  
Vol 0 (4) ◽  
pp. 19-24
Author(s):  
I.M. UTYASHEV ◽  
◽  
A.A. AITBAEVA ◽  
A.A. YULMUKHAMETOV ◽  
◽  
...  
Keyword(s):  
Cross Sectional Area ◽  
Variable Cross ◽  
Sectional Area ◽  
Longitudinal Vibrations ◽  
Cross Sectional ◽  
Method Error ◽  
Various Boundary Conditions ◽  
Elastic Fixation ◽  
Crosssectional Area

The paper presents solutions to the direct and inverse problems on longitudinal vibrations of a rod with a variable cross-sectional area. The law of variation of the cross-sectional area is modeled as an exponential function of a polynomial of degree n . The method for reconstructing this function is based on representing the fundamental system of solutions of the direct problem in the form of a Maclaurin series in the variables x and λ. Examples of solutions for various section functions and various boundary conditions are given. It is shown that to recover n unknown coefficients of a polynomial, n eigenvalues are required, and the solution is dual. An unambiguous solution was obtained only for the case of elastic fixation at one of the rod’s ends. The numerical estimation of the method error was made using input data noise. It is shown that the error in finding the variable crosssectional area is less than 1% with the error in the eigenvalues of longitudinal vibrations not exceeding 0.0001.

Changes in the parameters of nasal breathing and parameters of the upper respiratory tract during orthognathic operations in patients with II and III skeletal class of jaw anomalies

2020 ◽  
pp. 22-27
Author(s):  
S.Sh. Gammadaeva ◽  
M.I. Misirkhanova ◽  
A.Yu. Drobyshev
Keyword(s):  
Respiratory Tract ◽  
Nasal Cavity ◽  
Nasal Septum ◽  
Cross Sectional Area ◽  
Upper Respiratory Tract ◽  
Sectional Area ◽  
Nasal Breathing ◽  
Cross Sectional ◽  
Skeletal Class ◽  
Upper Respiratory

The study analyzed the functional parameters of nasal breathing, linear parameters of the nasal aperture, nasal cavity and nasopharynx, volumetric parameters of the upper airways in patients with II and III skeletal class of jaw anomalies before and after orthognathic surgery. The respiratory function of the nose was assessed using a rhinomanometric complex. According to rhinoresistometry data, nasal resistance and hydraulic diameter were assessed. According to the data of acoustic rhinometry, the minimum cross-sectional area along the internal valve, the minimum cross-sectional area on the head of the inferior turbinate and nasal septum and related parameters were estimated. According to the CBCT data, the state of the nasal septum, the inferior turbinates, the nasal aperture, the state of the nasal cavity, and the linear values of the upper respiratory tract (nasopharynx) were analyzed. The patients were divided into 4 groups according to the classification of the patency of the nasal passages by

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