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タイトルヨミ
セイチョウ キョクセン ノ ケントウ ダイ3ポウ WEIBULLガタ セイチョウ キョクセンシキ ノ テキゴウセイ
日本語以外のタイトル
Analysis of Growth Curve(3) : Applicability of the Weibull-type Growth Equation
ファイル
言語
日本語
著者
山本 充男
安井 鈞
内容記述(抄録等)
Assuming that the growth rate is the function of not only size but also time, the system of growth is reduced to
(dy)/(dt) = f(t,y)
where f(t,y) is the function of time t and size y. Let us assume that
f(t,y) = Cmt^^^<m-1>(A-y)
where A, C, and m are constants, a new growth equation
y = A(1-exp[-Ct^m])
is derived. This equation is the same as one which is created by adding an expanding factor to the Weibull distribution function.
To examine the applicablilty of this equation, the Weibull-type growth equation was applied to the observed growth of diameter, height, basal area, and volume of 52 trees. The Weibull type growth equation showed a good fit to the growth not only with a clear inflection but also without one, as compared with the Mitscherlich, the Logistic, and the Gompertz. It was recognized that many monotonically increasing growth phenomena could be modelled by this equation with various numerical values for the scale(C), the shape(m), and the upper asymptote(A) parameters.
掲載誌名
島根大学農学部研究報告
19
開始ページ
22
終了ページ
28
ISSN
0370940X
発行日
1985-12-20
NCID
AN00108015
出版者
島根大学農学部
出版者別表記
Shimane University, Faculty of Agriculture
資料タイプ
紀要論文
部局
生物資源科学部
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