Official Journal of the Japan Wood Research Society
Model | Equation | Random effects | AIC | |||||||||
---|---|---|---|---|---|---|---|---|---|---|---|---|
Wood fiber length | Vessel element length | Vessel frequency | Vessel diameter | Wood fiber diameter | Wood fiber wall thickness | Air-dry density | MOE | MOR | Compressive strength | |||
b-1 | \(\mathrm{WP}_{ij}=\left({b}_{0}+{Tree}_{0j}\right)\mathrm{CA}_{ij}+{b}_{1}+{e}_{ij}\) | Slope | − 42.601 | − 202.72 | 590.04 | 407.34 | 292.43 | 119.05 | − 181.55 | 129.18 | 367.59 | 283.83 |
b-2 | \(\mathrm{WP}_{ij}={b}_{0}\mathrm{CA}_{ij}+{b}_{1}+{{Tree}_{1j}+e}_{ij}\) | y-intercept | − 39.643 | − 194.19 | 589.34 | 411.29 | 251.08 | 85.408 | − 198.38 | 132.31 | 360.97 | 278.70 |
c-1 | \(\mathrm{WP}_{ij}=\left({c}_{0}+{Tree}_{0j}\right)\mathrm{ln}\left(\mathrm{CA}_{ij}\right)+{c}_{1}+{e}_{ij}\) | Slope | − 55.725 | − 213.43 | 562.33 | 388.96 | − | − | − 193.37 | 122.75 | 359.30 | 278.85 |
c-2 | \(\mathrm{WP}_{ij}={c}_{0}\mathrm{ln}\left(\mathrm{CA}_{ij}\right)+{c}_{1}+{Tree}_{1j}+{e}_{ij}\) | y value at 1st annual ring from pith | − 54.718 | − | 559.09 | 388.93 | 244.59 | 67.019 | − 199.62 | 126.48 | 356.64 | 275.82 |
d-1 | \(\mathrm{WP}_{ij}=\left({d}_{0}+{Tree}_{0j}\right){\mathrm{CA}_{ij}}^{2}+{d}_{1}\mathrm{CA}_{ij}+{d}_{2}+{e}_{ij}\) | Opening quadratic parabolas | − 42.334 | − | 573.03 | 403.80 | 330.40 | 165.56 | − 152.97 | 131.17 | 374.51 | 290.87 |
d-2 | \(\mathrm{WP}_{ij}={d}_{0}{\mathrm{CA}_{ij}}^{2}+\left({d}_{1}+{Tree}_{1j}\right)\mathrm{CA}_{ij}+{d}_{2}+{e}_{ij}\) | Slope of the tangent line at the y-intercept | − 42.471 | − 195.05 | 571.63 | 402.35 | 299.73 | 128.39 | − 167.53 | 132.70 | 369.72 | 289.05 |
d-3 | \(\mathrm{WP}_{ij}={d}_{0}{\mathrm{CA}_{ij}}^{2}+{d}_{1}\mathrm{CA}_{ij}+\left({d}_{2}+{Tree}_{2j}\right)+{e}_{ij}\) | y-intercept | − 41.656 | − | 566.65 | 402.12 | 254.35 | − | − 183.35 | 137.92 | − | 284.33 |