Chemistry Reference
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Scale n β 1 β 1 ´ R² k ± S.D. E m ± S.D. Qleaf m ± S.D.
Pot (E V ) 199 -0,000001 0,007 0,69 - 5,41 ± 2,07 a 1027 ± 517
Plot (E P ) 516 -0,000002 0,0094 0,64 - 5,60 ± 2,27 ab 802 ± 465
Watershed (E B ) 78 -0,000003 0,0106 0,83 - 3,96 ± 2,66 c 505 ± 508
Scaling up (E P ´) 516 -0,000001 0,007 1,00 1,25 ± 0,06 5,65 ± 2,62 b 802 ± 465
Scaling up (E B ´) 78 -0,000001 0,007 1,00 1,38 ± 0,14 3,56 ± 2,66 c 505 ± 508
Scaling up (E B ´´) 78 -0,000002 0,0094 1,00 - 3,58 ± 3,12 c 505 ± 508
Means followed by same small letter in columns do not differ by Tukey test at 5% probability. n = number of
measurements (mean of 4 measures).
Table 4. Model coefficients of E = f (Qleaf) with observed data from E v , E P , E B , and adjustment to
simulate the scaling up (E P ',E B ', E B ''), coefficient of determination (R²), k, E and Qleaf mean ± mean
standard deviation (k and E m ± S.D., mmol m -2 s -1 ; Qleaf m ± S.D., μmol m -2 s -1 ).
Scale n β 2 β 2 ´ R² k ± S.D. Gs m ± S.D. Qleaf m ± S.D.
Pot (Gs v ) 199 -0,00000009 0,004 0,64 - 0,34 ± 0,16 a 1027 ± 517
Plot (Gs p ) 516 -0,0000002 0,0006 0,59 - 0,28 ± 0,09 b 802 ± 465
Watershed (Gs B ) 78 -0,0000005 0,0011 -0,17 0,30 ± 0,09 bc 505 ± 508
Scaling up (Gs P ´) 516 -0,00000007 0,004 1,00 1,31 ± 0,12 0,26 ± 0,10 b 802 ± 465
Scaling up (Gs B ´) 78 -0,00000007 0,004 1,00 2,26 ± 0,53 0,26 ± 0,19 b 505 ± 508
Scaling up (Gs B ´´) 78 -0,0000002 0,0006 1,00 1,43 ± 0,41 0,18 ± 0,11 d 505 ± 508
Means followed by the same small letter in columns do not differ by Tukey test at 5% probability. n = number of
measurements (mean of 4 measures).
Table 5. Model coefficients of Gs = f (Qleaf) with observational data Gs V , Gs P , Gs B and adjustment to
simulate scaling up (Gs P ´, Gs B ´, Gs B ´´), coefficient of determination (R ²), k, Gs and Qleaf mean ± mean
standard deviation(k and Gs m ± S.D., mol m -2 s -1 ; Qleaf m ± S.D., μmol m -2 s -1 ).
Scale n β 3 β 3 ´ R² k ± S.D. E m ± S.D. VPD m ± S.D.
Pot (E V ) 225 -0,4519 10,311 0,06 - 5,07 ± 1,87 a 1,23 ± 0,35
Plot (E P ) 506 -1,0627 6,0481 0,44 - 5,75 ± 2,32 b 1,33 ± 0,49
Watershed (E B ) 78 -0,927 5,6528 0,38 - 3,96 ± 2,62 c 0,88 ± 0,41
Scaling up (E P ´) 506 -0,4519 10,311 1,00 1,02 ± 1,24 5,79 ± 1,49 b 1,33 ± 0,49
Scaling up (E B ´) 78 -0,4519 10,311 1,00 0,57 ± 1,26 3,99 ± 1,47 c 0,88 ± 0,41
Scaling up (E B ´´) 78 -1,0627 6,0481 1,00 - 4,19 ± 1,51 c 0,88 ± 0,41
Means followed by the same small letter in columns do not differ by Tukey test at 5% probability. n = number of
measurements (mean of 4 measures).
Table 6. Model coefficients of E = f (VPD) with observed data from E V , E P , E B and adjustment to
simulate scaling up (E P ´, E B ´, E B ´´), coefficient of determination (R²), k, E and VPD mean ± mean
standard deviation (k and E m ± S.D., mmol m -2 s -1 ; VPD m ± S.D., kPa).
The scaling up with the involvement of the Qleaf in E B ' and E B ' ' generated values so similar
that it is not possible to distinguish between these two models in Figures 3b and 3c.
Similarly when using the variable VPD (Figure 3e, 3f).
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