Chemistry Reference
In-Depth Information
Where: E - leaf transpiration (mmol m
-2
s
-1
); Gs - leaf stomatal conductance (mol m
-2
s
-1
);
Qleaf - photosynthetic active radiation (μmol m
-2
s
-1
), VPD - vapor pressure deficit of the
atmosphere (kPa), β
1
, β
2
, β
3
, β
4
e β
1
´, β
2
´, β
3
´, β
4
´ = coefficients to be explained for each scale
and model.
Ecophysiological model calibration from pot to plot
The adjustment of the ecophysiological model developed at the pot scale was given by the
angular coefficient k, obtained by the ratio between the equations generated for the pot and
plot scale, thus being:
- E: Scaling up from pot to plot (E
P
')
kEE
/
(10)
P
V
EEk
´
*
(11)
P
P
Where: Ev -equation
E= f (Qleaf or VPD)
on the pot scale; Ep - equation
E = f (Qleaf or VPD)
to
plot scale; Ep'-adjusted equation of scaling up of
E = f (or Qleaf VPD)
from pot to plot by the
angular coefficient of the model (k) to be specified for each scaling up.
- Gs: Scaling up from pot to plot (Gsp')
k s
/
s
(12)
P
V
Gs
´
Gs
*
k
(13)
P
P
Where: Gsv - equation
Gs = f (Qleaf or VPD)
on the pot scale, Gsp - equation
Gs = f (Qleaf or
VPD)
to plot scale; Gs
P
'- adjusted equation of scaling up of
Gs = f (or Qleaf VPD)
from pot to
plot by the angular coefficient of the model (k) to be specified for each scaling up.
The same methodology was adopted for the adjustment of the pot scale model to watershed
scale (E
B
' and Gs
B
") and plot to watershed (E
B
´´and Gs
B
´´), being E
B
- equation
E = f (Qleaf
or
VPD)
and GSB - equation
Gs = f (Qleaf or VPD)
for watershed scale.
The ecophysiological model between the evaluation scales were subjected to analysis of
variance and when significant, the means were compared by Tukey test using Minitab 14.0
software.
3. Case study: scaling up of the ecophysiological behavior of
Eucalyptus
grandis x Eucalyptus urophylla
experience
Table 1 shows the daily mean of Ψ
pd
and environmental variables. The highest water
comfort occurred on the plot scale, where we also observed a higher mean rate of
transpiration. In assessing the environmental variables, note that the VPD situation between
