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This report treats the errors of the past-diameter and the past-basal area measured with the caliper and the increment borer. If the measuring directions of the caliper and the increment borer are sel...ected at random, the past-diameter of a single tree is expressed by Eq. (4), its expected value by Eq. (5), and its variance by Eq. (6). The average past-diameter of a stand is expressed by Eq. (11), its expected value by Eq. (12), and its variance by Eq. (13). On the same assumption, the past-basal area of a single tree is expressed by Eq. (20), its expected value by Eq. (21), and its variance by Eq. (22). When the terms of the second order and above are neglected, Eq. (22) becomes Eq. (23). The average past-basal area of a stand is expressed by Eq. (24), its expected value by Eq. (25), and its variance by Eq. (26), (approximate equations). Inserting the actual numerical date, the error of the past-diameter of a single tree is about 3 per cent, and that of a stand is about 3.5 per cent. Since the measuring directions are selected at random, the variance increases about 14 per cent. The error of the past-basal area of a single tree is about 4.4 per cent and that of a stand is about 7.0 per cent. Since the measuring directions are selected at random, the variance increases about 18 per cent. This is owing to the fact that the variance between the true values is small. If the stand is, heterogeneous, the increases of variance owing to the random selection of the measuring directions will be smaller.続きを見る
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I 緒論 II 資料 III 理論及び結果 A 過去直径の推定 a 単木について b 材木について B 過去断面積の推定 a 単木について b 材分について IV 考察 参考文献 Resume
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