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Table 4 Model parameters and model form Reich et al. [8] used in this analysis for estimating climate-adjusted belowground biomass (BGBClim)

From: Comparisons of allometric and climate-derived estimates of tree coarse root carbon stocks in forests of the United States

Term

Parameter

Value

SE

b0

Intercept

−0.18088

0.021062

b1

HDWD

0.0172682

0.005315

b2

NAT

0.0018117

0.005256

b3

MAT

−0.003032

0.000564

b4

log(BIOSTEM)

0.7940911

0.011187

b5

HDWD × NAT

−0.000591

0.005291

b6

HDWD × (MAT − 9.1374)

−0.001423

0.000566

b7

HDWD × (log(BIOSTEM − 1.88807))

−0.031736

0.008798

b8

NAT × (MAT − 9.1374)

−0.000555

0.000574

b9

NAT × (log(BIOSTEM − 1.88807))

0.021458

0.010028

b10

(MAT − 9.1374) × (log(BIOSTEM − 1.88807))

0.0020443

0.001155

b11

HDWD × NAT × (MAT − 9.1374)

0.0020594

0.000566

b12

HDWD × NAT × (log(BIOSTEM − 1.88807))

0.0269889

0.010957

b13

HDWD × (MAT − 9.1374) × (log(BIOSTEM − 1.88807))

0.0050601

0.001197

b14

NAT × (MAT − 9.1374) × (log(BIOSTEM − 1.88807))

0.0016555

0.001206

  1. Parameters are: a binary variable depicting general forest type (HDWD; 1 = hardwood-dominated, 0 = conifer-dominated), stem biomass of live trees (BIOSTEM; Mg ha−1), a binary variable depicting stand origin (NAT; 1 = natural, 0 = artificial regeneration), mean annual temperature (MAT; °C), and log is to the base 10
  2. In \(\begin{aligned} \,\log (\rm BGBClim) &= b0 + b1\left( {\rm HDWD} \right) + b2\left( {\rm NAT} \right) + b3\left( {\rm MAT} \right) + b4\left( {\log \left( {\rm BIOSTEM} \right)} \right) + \,b5\left( {\left( {{\rm HDWD} \times {\rm NAT}} \right)} \right) + \hfill \\ & \quad b6\left( {\left( {{\rm HDWD} \times \left( {{\rm MAT} - 9.1374} \right)} \right)} \right) + \,b7\left( {\left( {{\rm HDWD} \times \left( {\log \left( {\rm BIOSTEM} \right) - 1.88807} \right)} \right)} \right) + \hfill \\ & \quad b8\left( {\left( {{\rm NAT} \times \left( {{\rm MAT} - 9.1374} \right)} \right)} \right) + \,b9\left( {\left( {{\rm NAT} \times \left( {\log \left( {\rm BIOSTEM} \right) - 1.88807} \right)} \right)} \right) + \hfill \\ & \quad b10\left( {\left( {\left( {{\rm MAT} - 9.1374} \right) \times \left( {\log \left( {\rm BIOSTEM} \right) - 1.88807} \right)} \right)} \right) + \hfill \\ & \quad b11\left( {\left( {\rm HDWD} \right) \times \left( {\rm NAT} \right) \times \left( {{\rm MAT} - 8.8508} \right)} \right) + \hfill \\ & \quad b12\left( {\left( {\rm HDWD} \right) \times \left( {\rm NAT} \right) \times \left( {\log \left( {\rm BIOSTEM} \right) - 1.88807} \right)} \right) + \hfill \\ & \quad b13\left( {\left( {\rm HDWD} \right) \times \left( {{\rm MAT} - 8.8508} \right) \times \left( {\log \left( {\rm BIOSTEM} \right) - 1.88807} \right)} \right) + \hfill \\ & \quad b14\left( {\left( {\rm NAT} \right) \times \left( {{\rm MAT} - 8.8508} \right) \times \left( {\log \left( {\rm BIOSTEM} \right) - 1.88807} \right)} \right) \hfill \\ \end{aligned}\)
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Carbon Balance and Management

ISSN: 1750-0680

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