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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 \(\begin{aligned} \,\log (\rm BGBClim) &= b0 + b1\left( {\rm HDWD} \right) + b2\left( {\rm NAT} \right) + b3\left( {\rm MAT} \right) + b4\left( {\log \left( {\rm BIOSTEM} \right)} \right) + \,b5\left( {\left( {{\rm HDWD} \times {\rm NAT}} \right)} \right) + \hfill \\ & \quad b6\left( {\left( {{\rm HDWD} \times \left( {{\rm MAT} - 9.1374} \right)} \right)} \right) + \,b7\left( {\left( {{\rm HDWD} \times \left( {\log \left( {\rm BIOSTEM} \right) - 1.88807} \right)} \right)} \right) + \hfill \\ & \quad b8\left( {\left( {{\rm NAT} \times \left( {{\rm MAT} - 9.1374} \right)} \right)} \right) + \,b9\left( {\left( {{\rm NAT} \times \left( {\log \left( {\rm BIOSTEM} \right) - 1.88807} \right)} \right)} \right) + \hfill \\ & \quad b10\left( {\left( {\left( {{\rm MAT} - 9.1374} \right) \times \left( {\log \left( {\rm BIOSTEM} \right) - 1.88807} \right)} \right)} \right) + \hfill \\ & \quad b11\left( {\left( {\rm HDWD} \right) \times \left( {\rm NAT} \right) \times \left( {{\rm MAT} - 8.8508} \right)} \right) + \hfill \\ & \quad b12\left( {\left( {\rm HDWD} \right) \times \left( {\rm NAT} \right) \times \left( {\log \left( {\rm BIOSTEM} \right) - 1.88807} \right)} \right) + \hfill \\ & \quad b13\left( {\left( {\rm HDWD} \right) \times \left( {{\rm MAT} - 8.8508} \right) \times \left( {\log \left( {\rm BIOSTEM} \right) - 1.88807} \right)} \right) + \hfill \\ & \quad b14\left( {\left( {\rm NAT} \right) \times \left( {{\rm MAT} - 8.8508} \right) \times \left( {\log \left( {\rm BIOSTEM} \right) - 1.88807} \right)} \right) \hfill \\ \end{aligned}\)