diameter-free growth modelling and other heresies oscar garcia university of northern british...
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Diameter-free Growth Modelling and other Heresies
Oscar Garcia
University of Northern
British Columbia
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Themes
Resolution, science vs. technology Stem dbh as growth driver Stochastics
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Model Uses
Decision-making (prediction) Research (understanding)
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Prediction Precision Controllable variables Match:
Available input info Required output info
Management Decision-making
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“Process models” Mechanistic, realistic Detailed Qualitative behavior Generate questions
Scientific Research
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Science vs. Technology
N, S, W, E
Journal of
Applied Forestry
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Science vs. Technology
N, S, W, E
Journal of
Applied Forestry
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PredictionTree-level
modeltree list tree list
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Prediction
Inventory
Tree-levelmodel
(B,N,H)
tree list tree list
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Prediction
Inventory Application
Tree-levelmodel
(B,N,H)
tree list tree list
(B,N,H)
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Prediction
Inventory Application
Tree-levelmodel
(B,N,H)
tree list tree list
(B,N,H)Stand-level
model
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Complexity, Resolution Level
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“Model at one level of detail below the level desired for prediction”
Complexity, Resolution Level
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“Model at one level of detail below the level desired for prediction”
Understanding: Two levels higher? Prediction: Same level
Complexity, Resolution Level
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“Model at one level of detail below the level desired for prediction”
Understanding: Two levels higher? Prediction: Same level
Links
Complexity, Resolution Level
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Growth Drivers
v = f(age, dbh, site) ?
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Growth Drivers
v = f( age , dbh, {site}) ?
height
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Growth Drivers
v = f(height, dbh)
Growth driven by stem thickness?
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Growth Drivers
v = f(height, dbh)
Growth driven by stem thickness??
v = f(height, resources captured)
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TASSMitchell 1975
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Stand-level
V / H = f(H, N, C) (Eichhorn 1904)
N / H = g(H, N, C)
C / H = h(H, N, C)
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C vs. H
0
10
20
30
40
50
60
70
80
90
100
0 5 10 15 20 25 30
Cro
wn
co
ver
(%)
Top height (m)
'v9.prd'u 1:4
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C vs. H
0
10
20
30
40
50
60
70
80
90
100
0 5 10 15 20 25 30
Cro
wn
co
ver
(%)
Top height (m)
dC/dH = a N Hb (1-C2)
'v9.prd'u 1:4''u 1:7
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Stochastic Models
Convenient for the modeller Variability info? In practice, single realization
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Gross Increment
0
20
40
60
80
100
120
140
160
180
200
0 10 20 30 40 50 60
3-m
etr
e g
ross
vo
lum
e in
cre
me
nt
(m3/h
a)
Top height (m)
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Stochastic Models
Convenient for the modeller Variability info? In practice, single realization Worse of both worlds?
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Mind the Users!
web.unbc.ca/~garcia