Bulletin of the Faculty of Agriculture, Shimane University

Faculty of Agriculture, Shimane University

ISSN:0370-940X

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Use this link to cite this item : https://ir.lib.shimane-u.ac.jp/1874

Bulletin of the Faculty of Agriculture, Shimane University 20

1986-12-20 発行

長柱の座屈理論に基づく樹高曲線式の検討(第2報) : 材積式の誘導とその適合性

Height curve derived from the theory of column buckling(2) : Derivation of volume equation and its applicability

Inada, Mitsuo

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A mathematical model for describing diameter-volume relationships was derived theoretically. The model is based on the assumptions that the diameter-height relationships are expressed by the height curve deriyed from the theory of column buckling, and that the stem form is expressed by the Kunze's stem-curve equation. The model is a kind of one-variable volume equation, and its mathematical expression is
V = bD^<8/3>
where V : volume
D : diameter
b : constant.
The value of D's exponent, 8/3, was exalmined by comparing with 6 actual yield tables and 249 volume tables. The value(8/3) is reasonable, and the model may have a practical use.

About This Article

NCID

AN00108015

d0030020n008.pdf 584 KB

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