A. On the asumption that the volume of cut logs can be shown practically by the following formula, experimental formulas were led from the research data of 292, logs of SUGI, all being 4 meters long but various diameters.
V=(a+bG
0+cG
1d
γ+eG
2+fG
n)
The reason of assuming the above formula are as follows:
1, Most of the cubing formulas of cut logs used in the past are the abbriviated forms of the above.
2, As suggestible by the disgrams of V, G
0, G
1, γ, G
2, G
n, volume (V) can be shown by the formula:
V=a+bG
i(G
i: G
0, G
1, γ, G
2, G
n)
B. Among the following experimental formlas including one section out of five, there is no significant difference for 1% leyel of significance.
V=+0.004604+3.845182G
1 S=0.035044
V=+0.000616+4.153769
γ S=0.031051
V=+0.003569+4.409815G
2 S=0.035937
C, Among the following experimental formulas including 2 sections out of 5, there is no significant difference fox 1% level of significance.
V=+0.000465+0.438407G
0+3.489420
γS=0.01867
V=+0.003939+0.501401G
0+3.606105G
2S=0.01883
V=-0.001393+1.959273G
1+2.185832G
2S=0.01939
V=+0.003024+1.762613G
1+2.265029
γS=0.02147
D. Among the following experimental form ulas including 3 sections out of five, there is no significant difference for 1% level of significance.
V=+0.001744+0.4281G
0+1.7929
γ+1.8298G
2S=0.0125
V=+0.000490+0.3468G
0+1.3167G
1+2.3593G
2S=0.0130
V=+0.002420+0.4089G
0+2.5212
γ+1.1499G
nS=0.0148
E. The experimental formula including all 5 sections is:
V=+0.000909+0.3487G
0+0.8054G
1+1.1935
γ+1.3360G
2+0.3619G
n S=0.010619
F. When the volumes accounted by Huber's formula Smalian's formula, Simony's formula. Shiffel's formula, and Wada's formula are compared with the volume by the experimental formulas including the same section or sections that the above various formulas have, there are significant difference for 1% or 5% level of significance, as follows:
Huber's f. V=γ×l S=0.0432
Exp. f. V=(+0.00015+1.038442
γ)×l S=0.0311
Smalian's f. V=(0.5G
0+0.5G
n)×l S=0.3356
Exp. f. V=(+0.002293+0.138398G
0+0.926559G
n)×l S=0.0373
Simony's f. V=(0.6667G
1+0.3333
γ+0.6667G
2)×l S=0.0310
Exp. f.V=(-0.004051+0.3784G
1+0.2840
γ+0.3729G
2)×l S=0.0176
Riecke's f. V=(0.1667G
0+0.6667
γ+0.1667G
n)×l S=0.0227
Wada's f. V=(0.074G
0+0.798
γ+0.136G
n×l S=0.0214
Exp. f. V=(+0.00605+0.1022G
0+0.6303
γ+0.2875G
n)×l S=0.0148
Siffel's f. V=(0.61G
1-0.23√G
1G
2-0.62G
2)×l S=0.0294
Exp. f. V=(-0.000435+0.2878G
1+0.5019 √G
1G
2+0.2412G
2)×l S=0.0162
G. For the above reason, it seems to be necessity to amend the coefficient of the cubing formulas used in the past to aply to the logs of SUGI, 4 meters long.
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