Ecological Archives E091-015-A3

Richard K. Kobe, Meera Iyer, and Michael B. Walters. 2010. Optimal partitioning theory revisited: Nonstructural carbohydrates dominate root mass responses to nitrogen. Ecology 91:166–179.

Appendix C. Parameter estimates of biomass partitioning for best supported models that were nonlinear.

Species

Mass comp

Treatment

Model

A

B

r2

AB

root

HLHN

y = exp(A*x)-1

0.35 (0.33, 0.37)

 

0.93

 

root TNC

 

y = A(xB)

0.10 (0.08, 0.12)

1.58 (1.26, 1.91)

0.92

 

root TNC

(w/ outl)

y = A(xB)

0.10 (0.04, 0.16)

1.77 (0.97, 2.57)

0.74

 

leaf

 

y = A(xB)

0.20 (0.18, 0.22)

0.35 (0.03, 0.67)

0.26

 

root

HLLN

y = A*exp(-B/x)

1.92 (1.66, 2.17)

1.1 (0.97, 1.23)

0.97

 

root TNC

 

y = A*exp(-B/x)

1.07 (0.65, 1.49)

1.62 (1.21, 2.04)

0.89

 

root non-TNC

 

y = A*exp(-B/x)

1.04 (0.89, 1.19)

0.90 (0.77, 1.03)

0.96

 

root

LLLN

y = A(xB)

0.52 (0.25, 0.79)

1.5 (1.15, 1.85)

0.86

 

root TNC

 

y = A(xB)

1

3.58 (3.45, 3.70)

0.74

 

root non-TNC

 

y = A(xB)

0.58 (0.23, 0.94)

1.61 (1.21, 2.01)

0.85

 

leaf

 

y = A*exp(-B/x)

0.15 (0.10, 0.20)

0.08 (0.01, 0.15)

0.34

BC

root

HLHN

y = A(xB)

0.38 (0.31, 0.46)

1.19 (1.01, 1.38)

0.94

 

root TNC

 

y = A*exp(-B/x)

0.34 (0.17, 0.52)

2.13 (1.04, 3.21)

0.76

 

root non-TNC

 

y = A(xB)

0.34 (0.28, 0.40)

1.19 (1.03, 1.35)

0.96

 

leaf

 

y = A(xB)

0.50 (0.42, 0.57)

0.76 (0.60, 0.92)

0.89

 

root

HLLN

y = A(xB)

1

1.48 (1.45, 1.52)

0.97

 

root TNC

 

y = A*exp(-B/x)

0.27 (0.04, 0.50)

0.72 (0.43, 1.01)

0.79

 

root non-TNC

 

y = A(xB)

0.71 (0.57, 0.86)

1.33 (1.15, 1.50)

0.97

 

leaf

 

y = A(xB)

0.15 (0.1, 0.2)

0.41 (0.12, 0.70)

0.35

 

leaf

LLHN

y = A(xB)

0.85 (0.52, 1.18)

1.16 (1.02, 1.3)

0.93

BO

root

HLHN

y = A*exp(-B/x)

6.49 (3.86, 9.11)

3.79 (1.84, 5.75)

0.73

 

root

LLLN

y = A(xB)

0.47 (0.44, 0.51)

1.32 (1.09, 1.54)

0.97

 

root TNC

 

y = A(xB)

0.13 (0.10, 0.16)

2.06 (1.31, 2.82)

0.89

 

leaf

 

y = A*exp(-B/x)

0.69 (0.56, 0.82)

0.70 (0.49, 0.90)

0.93

RM

root

HLHN

y = A*exp(-B/x)

0.62 (0.51, 0.73)

0.7 (0.53, 0.86)

0.95

 

root non-TNC

 

y = A*exp(-B/x)

0.52 (0.41, 0.63)

0.71 (0.51, 0.91)

0.93

 

root

HLLN

y = A(xB)

1

1.37 (1.33, 1.41)

0.95

 

root TNC

 

y = A(xB)

0.26 (0.10, 0.42)

1.39 (1.08, 1.7)

0.94

 

leaf

 

y = A(xB)

0.10 (0.02, 0.19)

0.54 (0.18, 0.91)

0.61

RO

root TNC

HLHN

y = A*exp(-B/x)

2.89 (1.98, 3.80)

4.72 (2.50, 6.93)

0.84

 

root

HLLN

y = A(xB)

0.51 (0.41, 0.6)

1.16 (1.04, 1.28)

0.97

 

root TNC

 

y = A*exp(-B/x)

4.03 (2.23, 5.84)

5.17 (3.24, 7.09)

0.85

 

leaf

 

y = A(xB)

0.45 (0.26, 0.64)

0.65 (0.36, 0.94)

0.65

 

root TNC

LLHN

y = A(xB)

0.04 (0.02, 0.06)

2.66 (1.84, 3.50)

0.82

 

leaf

 

y = A*exp(-B/x)

1.02 (0.81, 1.22)

0.86 (0.58, 1.15)

0.77

 

root

LLLN

y = A(xB)

0.46 (0.43, 0.5)

1.17 (1.01, 1.33)

0.92

 

root TNC

 

y = A(xB)

0.10 (0.07, 0.12)

1.61 (1.11, 2.10)

0.68

 

leaf

 

y = A(xB)

0.38 (0.34, 0.42)

0.68 (0.44, 0.91)

0.7

SM

root non-TNC

All

y = A(xB)

0.39 (0.38, 0.41)

1.18 (1.04, 1.31)

0.98

 

root

HLHN

y = A*exp(-B/x)

1.27 (0.94, 1.59)

0.91 (0.64, 1.18)

0.97

 

root non-TNC

 

y = A(xB)

0.37 (0.35,0.40)

1.28 (1.08, 1.48)

0.98

 

leaf

 

y = A(xB)

0.33 (0.30, 0.36)

0.65 (0.47, 0.83)

0.92

 

root

HLLN

y = A*exp(-B/x)

1.04 (0.84, 1.25)

0.64 (0.48, 0.79)

0.98

 

root TNC

 

y = A*exp(-B/x)

0.31 (0.19, 0.43)

0.79 (0.46, 1.11)

0.96

 

leaf

 

y = A*exp(-B/x)

0.26 (0.20, 0.32)

0.19 (0.09, 0.30)

0.7

WO

root

LLHN

y = A*exp(-B/x)

0.9 (0.67, 1.13)

0.54 (0.36, 0.72)

0.69

 

root

LLLN

y = A*exp(-B/x)

0.93 (0.64, 1.23)

0.49 (0.28, 0.7)

0.64


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