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 タイトルヨミ セチョウ キョクセン ノ ケントウ ダイ2ホウ テイラー キュウスウ テンカイ ト CROZIER シキ 日本語以外のタイトル Analysis of Growth Curve(2) : Taylor Series and the Crozier Equation ファイル d0030017n007.pdf 523 KB 言語 日本語 著者 山本 充男 安井 鈞 内容記述（抄録等） The system of growth can be defined mathematically in various ways. Assuming that the system consists of only one measure y, the system is reduced to the single differential equation :(dy)/(dt) = f(y)where f(y) is the function of y. Let us assume that f(y) can be developed into Taylor series :f(y) = a_0 + a_1y + a_2y_2 + a_3y_3 + . . . ..Retaining three trems, we have :(dy)/(dt) = a_0 + a_1y + a_2y_2 .This equation is almost the same as the Crozier (Crozier, 1926). Moreover, this equation comes to the Mitscherlich (when a_2 = 0) and the Logistic (when a_0 = 0).Denoting the Crozier by(dy)/(dt) = (K_1 + K_2y)(A - y),the solution of the Crozier is :y =( AB exp[(K_1 + K_2A)t] - K_1)/(B exp[(K_1 + K_2A)t] + K_2)where A. B. K_1 and K_2 are constants. To examine the applicability of the Crozier equation, it was applied to the observed height growth. The Crozier 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. The applicability of the Crozier equation in the growthcurve- fitting was recognized. 掲載誌名 島根大学農学部研究報告 巻 17 開始ページ 34 終了ページ 38 ISSN 0370940X 発行日 1983-12-20 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