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Modeling structural lumber quality for
Pinus pinaster Ait. in northwestern Spain
using standing tree acoustic assesment,
tree characteristics and stand variables
Oscar Santaclara , Juan Gabriel Álvarez, Esther Merlo
Sopron, 2011
Location of sample plots
within the 2 ecoregions
defined for the species in
Galicia
Coast
MATERIAL
MATERIAL AND METHODS
Standing Tree
Measurements
• DBH
• Total tree height
• Crown height
• Acoustic velocity
STANDING TREE MEASUREMENTS
MATERIAL AND METHODS
410 trees measured
IML Hammer
STRESS WAVE VELOCITY MEASUREMENT
MATERIAL AND METHODS
• 4 Acoustic Velocity measurements
• 1m separation between probes and centred at
breast height
• AVtree = average of 4 AV
• 10 trees selected at each sample plot: - Covering all the variability of velocity
- DBH: 25 to 45 cm
- Good Straightness
• Competitors of selected trees identified
• Crown area measured
SELECTED TREES
MATERIAL AND METHODS
99 large dimension pieces:
• 55 : 200x200x5000 mm
• 44 : 200x150x5000 mm
MILL CONVERSION AND BENDING TEST
MATERIAL AND METHODS
Bending Test: EN 408:2010
• MOE in green condition
Main dasometric variables of sample plots
Stand
N
(stems/ha)
G
(m2/ha)
H0
(m) age
IS
(m)
Hmean
(m)
Dmean
(cm)
dg
(cm)
Camariñas 477,49 44,35 20,31 45,4 11,79 19,67 33,61 34,39
Covelo 330,32 47,45 25,14 51,1 14,24 23,43 42,01 42,77
Dodro 633,38 69,14 22,74 51,2 12,88 21,94 36,33 37,28
Entrimo 425,73 58,89 26,61 Desc. 25,02 41,10 41,97
Guitiriz 329,70 49,06 25,43 54,8 14,00 23,64 42,66 43,53
Parderrubias 448,06 44,60 21,17 59,4 10,81 19,20 35,20 35,60
Portas 287,98 37,37 23,73 65,5 12,14 23,62 40,36 40,65
Ribas 726,60 57,79 20,96 43,4 12,44 19,18 30,81 31,82
Saiáns 358,73 44,69 23,31 55,9 12,75 22,18 38,84 39,83
Toén 708,24 51,50 24,82 44,8 14,94 22,34 29,59 30,43
Viveiro 356,98 61,99 19,59 60,9 9,49 18,23 46,04 47,02
MAIN DASOMENTRIC VARIABLES OF SAMPLE PLOTS
RESULTS
Variable Correl.
coef.
diameter (cm) - 0,2389 **
Crown height hc
(m) 0,4311 **
Total height
h (m) 0,3173 **
Crown ratio
Rc (hc/h) 0,2981 **
Basal Area
G (m2/ha) - 0,2433 **
Slenderness (h/d) 0,4336 **
Crown area (m2) - 0,1324 *
Velocidad onda - Dn
Dn (cm)
Ve
l o
nd
a (
m/s
)
0 200 400 600 800
2200
2600
3000
3400
3800
R2 =5.70
p< 0.001
Velocidad onda - Htotal
Htotal (m)
Ve
l o
nd
a (
m/s
)
13 17 21 25 29
2200
2600
3000
3400
3800
R2 =10.07
p< 0.001
Velocidad onda - Hcopa
Hcopa (m)
Ve
l o
nd
a (
m/s
)
7 10 13 16 19 22 25
2200
2600
3000
3400
3800
R2 =18.59
p< 0.001
Velocidad onda - Razón de copa
Hcopa/Htotal
Ve
l o
nd
a (
m/s
)
0,45 0,55 0,65 0,75 0,85 0,95
2200
2600
3000
3400
3800
R2 =8.89
p< 0.001
Velocidad onda - Esbeltez
Htotal/Dn
Ve
l o
nd
a (
m/s
)
0 20 40 60 80 100 120
2200
2600
3000
3400
3800
R2 =18.80
p< 0.001
CORRELATION ANALYSIS FOR THE ACOUSTIC VELOCITY
RESULTS
ik
t
k
k ddd
1
2
4
)/( 2 parcelamg
BALi
ji iji
j
Distd
d
ji
ij
ji i
j
dd
Dist
d
d 16exp
ji
j
i
d
nd
2
2
ji ijj
i
Disth
h
ji iji
j
DistCC
CC
Index Expression
Basal area in larger
trees (BAL)
Modified BAL
Hegyi (1974)
Martin-Ek (1984)
Daniels et al. (1986)
Pukkala y Kolström
(1987)
Crown cross-sectional
area (CCS)
Index Corr. Coef.
BAL -0,0034
BAL mod. 0,1615
Hegyi 0,0698
Martin-Ek -0,1527
Daniels et al. -0,0459
Pukkala y Kolstrom 0,0316
CCS 0,2031*
Would it be possible to asses the
competition effect with the acoustic
technics ???
EFFECT OF COMPETITION ON ACOUSTIC VELOCITY
RESULTS
Variable Corr. Coef.
Acoustic Velocity 0,3794**
diameter (cm) -0,5391**
Total height h (m) 0,2648*
Crown height hc (m) 0,4017**
Rc (hc/h) 0,4031**
Crown Area (m2) -0,1979
Slenderness (h/d) 0,5569**
Stems/ha 0,0118
Basal Area (m2/ha) -0,5389**
Mean height (m) 0,5149**
Dominant height (m) 0,4155**
Site index (m) 0,4059**
Age (years) 0,0406
Variable Corr. Coef.
BAL -0,0840
BAL mod. 0,1742
Hegyi 0,0938
Martin y Ek 0,1071
Daniels et al. -0,2630*
Pukkala y Kolstrom -0,0863
CCS 0,1367
Correlation analysis
Competition effect
INFLUENCE OF TREE AND STAND VARIABLES ON MOE
RESULTS
Parámetr
o
Estimado
r
Error RMSE R2 Índice
condició
n
a0 1,2266 0,0293
1515,9 0,6301 29,93
a1 -0,0180 0,0035
a2 -0,0090 0,0019
a3 0,0429 0,0133
VARIABLE SELECTION METHOD “STEPWISE”
ISaGadaeVaMOE
321
0
MOE = modulus of elasticity (N/mm2)
V = acoustic velocity (m/s)
d = DBH (cm)
G = basal area (m2/ha)
IS = site index (m).
63%
MODEL DEVELOPMENT
RESULTS
• Important influence of dendro- and dasometric variables on the structural
quality of wood
• The acoustic technology is effective to evaluate the structural quality of
standing tree due to the good estimation of MOE and the influence of
dendro- and dasometric variables on it.
• Possibility of modelling the structural quality of wood based on acoustic
techniques and simply variables commonly used in forest inventories.
• Great opportunity for growers and processors to develop new silvicultural
models oriented to industrial destination, optimizing the resource and
increasing the yield
CONCLUSIONS
CONCLUSIONS
Thank you for your attention!!
This work was funded within the following projects:
-Galician regional project PIDGT (07MRU004CT)
- National project MICINN PSE.310000-2008
co-financed with FEDER funds of the European Union