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Table 2 The four systems of equations developed and examined in this study

From: Estimating the productive potential of five natural forest types in northeastern China

Model

Form

[M0] Base Model

lnV1 = a0 + a1t1−1 + a2 ln G1

\( \ln {G}_2=\left(\frac{t_1}{t_2}\right)\ln {G}_1+{b}_0\left(1-\frac{t_1}{t_2}\right) \)

[M1] Base Model with Hdom

lnV1 = a0 + a1Hdom + a2t1−1 + a3 ln G1

\( \ln {G}_2=\left(\frac{t_1}{t_2}\right)\ln {G}_1+{b}_0\left(1-\frac{t_1}{t_2}\right)+{b}_1{H}_{\mathrm{dom}}\left(1-\frac{t_1}{t_2}\right) \)

[M2] Base Model with Climate

lnV1 = a0 + a1t1−1 + a2 ln G1

\( \ln {G}_2=\left(\frac{t_1}{t_2}\right)\ln {G}_1+{b}_0\left(1-\frac{t_1}{t_2}\right)+\left({b}_1\mathrm{GST}+{b}_2\mathrm{GSP}\right)\left(1-\frac{t_1}{t_2}\right) \)

[M3] Base Model with Hdom and Climate

lnV1 = a0 + a1Hdom + a2t1−1 + a3 ln G1

\( \ln {G}_2=\left(\frac{t_1}{t_2}\right)\ln {G}_1+{b}_0\left(1-\frac{t_1}{t_2}\right)+\left({b}_1{H}_{\mathrm{dom}}+{b}_2\mathrm{GST}+{b}_3\mathrm{GSP}\right)\left(1-\frac{t_1}{t_2}\right) \)

  1. a, b, and c are the estimated coefficients; Hdom indicates the dominant height, t1 and t2 are the age of the initial and predicted periods, respectively; V1 and V2 indicate the stand volume of the initial and predicted periods, respectively; G1 and G2 are the basal area of the initial and predicted periods, respectively. GST and GSP are the growth season temperatures and precipitation