Table 3 Equations of shape parameter (b) and scale parameter (c) of Weibull distribution based on arithmetic mean DBH (d, unit: cm) for 17 tree species and accuracy assessment using LOOCV
Species | Equations | R2 | RMSE | Bias | P value |
|---|---|---|---|---|---|
White birch | b =  − 0.182d + 5.078 | 0.26 | 0.76 | 0.00 | 0.00 |
(B. platyphylla Suk.) | c = 1.154d − 0.347 | 1.00 | 0.16 | 0.00 | 0.00 |
Larch | b = 0.168d + 1.623 | 0.23 | 0.81 | 0.00 | 0.00 |
(L. gmelinii (Rupr.) Kuzen) | c = 1.068d − 0.509 | 1.00 | 0.20 | 0.00 | 0.00 |
Mongolian oak | b = 0.068d + 1.245 | 0.18 | 1.11 | 0.00 | 0.05 |
(Q. mongolica Fisch. ex Ledeb.) | c = 1.141d − 0.212 | 1.00 | 0.52 | 0.00 | 0.00 |
Aspen | b =  − 1.169d + 4.960 | 0.34 | 0.49 | 0.00 | 0.00 |
(P. davidiana Dode) | c = 1.154d − 0.359 | 1.00 | 0.06 | 0.00 | 0.00 |
Basswood | b = 0.101d + 1.230 | 0.12 | 1.14 | 0.00 | 0.00 |
(T. amurensis Rupr.) | c = 1.091d + 0.445 | 1.00 | 0.27 | 0.00 | 0.00 |
Black birch | b = 0.281d + 0.231 | 0.24 | 1.56 | 0.00 | 0.01 |
(B. davurica Pall.) | c = 1.039d + 0.896 | 0.99 | 0.33 | 0.00 | 0.00 |
Scotch pine | b = 0.228d + 0.089 | 0.21 | 0.97 | 0.00 | 0.01 |
(P. sylvestris var. mongolica Litv.) | c = 1.081d + 0.513 | 0.99 | 0.19 | 0.00 | 0.00 |
Mono maple | b =  − 0.236d + 8.473 | 0.18 | 1.83 | 0.00 | 0.00 |
(A. mono Maxim.) | c = 1.142d − 0.659 | 0.99 | 0.35 | 0.00 | 0.00 |
Elm | b = 0.131d + 0.882 | 0.19 | 0.92 | 0.00 | 0.00 |
(U. pumila L.) | c = 1.082d + 0.614 | 1.00 | 0.22 | 0.00 | 0.00 |
Walnut | b = 0.163d + 0.732 | 0.28 | 1.45 | 0.00 | 0.00 |
(J. mandshurica Maxim.) | c = 1.064d + 0.816 | 1.00 | 0.41 | 0.00 | 0.00 |
Spruce | b =  − 0.210d + 4.703 | 0.29 | 0.57 | 0.00 | 0.00 |
(P. koraiensis Nakai) | c = 1.165d − 0.357 | 1.00 | 0.08 | 0.00 | 0.00 |
Korean pine | b = 0.122d + 1.578 | 0.33 | 1.53 | 0.00 | 0.00 |
(P. koraiensis Sieb.et Zucc.) | c = 1.068d + 0.628 | 1.00 | 0.46 | 0.00 | 0.00 |
Ash | b =  − 0.108d + 3.489 | 0.16 | 0.59 | 0.00 | 0.00 |
(F. mandschurica Rupr.) | c = 1.122d + 0.067 | 1.00 | 0.13 | 0.00 | 0.00 |
Ribbed birch | b = 0.251d − 0.135 | 0.49 | 1.66 | 0.00 | 0.00 |
(B. costata Trautv.) | c = 1.038d + 1.061 | 1.00 | 0.39 | 0.00 | 0.00 |
Fir | b = 0.097d + 1.515 | 0.13 | 1.34 | 0.00 | 0.00 |
(A. nephrolepis (Trautv.) Maxim.) | c = 1.087d + 0.460 | 1.00 | 0.33 | 0.00 | 0.00 |
Amur corktree | b =  − 0.170d + 4.351 | 0.16 | 0.80 | 0.00 | 0.00 |
(P. amurense Rupr.) | c = 1.134d − 0.063 | 1.00 | 0.12 | 0.00 | 0.00 |
Willow | b = 0.156d + 1.0219 | 0.16 | 0.77 | 0.00 | 0.05 |
(C. arbutifolia (Pall.) A. Skv.) | c = 1.095d + 0.329 | 0.99 | 0.17 | 0.00 | 0.00 |