The botanical magazine = Shokubutsu-gaku-zasshi

, Volume 98, Issue 3, pp 239–250 | Cite as

Phase diagrammatic approach to the analysis of growth curve using theu-w diagram —Basic aspects

  • Kazuo Hozumi


To analyze growth curve quantitatively theu-w diagram is proposed. Herew is defined as any growth quantity at a given time of observation andu is defined as the ratio of relative growth rate ofw tow. Theu-w diagram can be obtained by plotting a series of observed values ofu andw on log-log coordinates.

Theu-w relationship constructed to lead a generalized form of the logistic and Mitscherlich curve results in the growth curve almost equivalent to the curve expected from the Bertalanffy differential equation and thus includes the Richards growth function as a special case. These results show that the approach using theu-w diagram appears to give a useful tool for the growth analysis in general and to be flexible.

Key words

Bertalanffy function Growth curve Phase diagram Richards function u-w Diagram 


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Copyright information

© The Botanical Society of Japan 1985

Authors and Affiliations

  • Kazuo Hozumi
    • 1
  1. 1.Faculty of AgricultureNagoya UniversityNagoya

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