胸高直径測定上の誤差について : 第2報 測定高による誤差
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The first report treated the error owing to the direction of measurement. The second report treats the error owing to the height of measurement. If the stem curves of all trees are identical and expressed by Kunze's stem curve equation and $ \gamma $ is about 2 in the stand, the diameter d _2 at a distance l cm from the breast height is expressed by Equation(1), where d1 is d. b. h. and A is $\tan{$ \alpha $}$(see fig.1). Then, if the diameter is measured by equal frequency within l cm above and below the breast height, the variance of d is expressed by Equation(3), where V(d _1)=V(D _1t)+ $\frac{1}{12}$($\bar{R}^2$ + $$ \sigma $R^2$) (see the first report), V ($ \varepsilon $) is…$$\sigma$^2$ by the least square solution, and V(l)=$\frac{1}{3}$($i^2$+ $$ \sigma $^2$). In the practical stand, $ \gamma $≠2, and, especially, in the even aged artificial stand, the variation of height is smaller than the variation of d. b. h. The stem curves of all trees, therefore, are not identical in the stand. In this case, the equation corresponding to (1) is (1'), so that the variance of d _2 is expressed by (3'). Since these data were taken from the even-aged artificial stand, Equation (3') is used. Inserting the practical data in Equation (3'), the increase of variance owing to both the variations of height and direction of measurement is 0.4 per cent, and the increase of variance owing to the variation of height of measurement only is 0.05 per cent. The variation of height, therefore, is out of the question. In the sampling survey, the difference between the center of measurement height and breast height is permitted to about 95 cm, but in the every tree measurement, the difference is permitted to about 5.3 cm. In the every tree measurement, therefore, care must be taken so that the center of measurement height be located within about 5 cm from the breast height.I 緒言 II 試料 III 理論 IIII 数値的結果 V 考察 参考文献 Resume
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