Title Transcription  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

Title Alternative  Analysis of Growth Curve(3) : Applicability of the Weibulltype Growth Equation

File  
language 
jpn

Author 
Yamamoto, Mitsuo
Yasui, Hitoshi

Description  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^^^<m1>(Ay) where A, C, and m are constants, a new growth equation y = A(1exp[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 Weibulltype 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. 
Journal Title 
Bulletin of the Faculty of Agriculture, Shimane University

Volume  19

Start Page  22

End Page  28

ISSN  0370940X

Published Date  19851220

NCID  AN00108015

Publisher  島根大学農学部

Publisher Aalternative  Shimane University, Faculty of Agriculture

NII Type 
Departmental Bulletin Paper

OAIPMH Set 
Faculty of Life and Environmental Science
