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A further analysis of the quasi-1/2 power law of tree height in stratified forest communities

  • Takuo Yamakura
Article

Abstract

To clarify a statistical basis of the empirical fact designated as the quasi-1/2 power law of tree height in stratified natural forest communities, a derivative of Pearson's type VII distribution was adopted and used for describing the frequency distribution of individual tree height in a subpopulation extracted from a forest stand by the symmetric type difference diagram already proposed for the stratification of samples. Limited by the quasi-1/2 power law of tree height, all the coefficients of Pearson's type VII distribution were expressed as empirical equations of tree density in a subpopulation obtained from the stratification of samples. These empirical equations led to the normalized density function of tree height and gave a statistical basis for the quasi-1/2 power law of tree height. In addition to tree height data, the stem diameter at breast height and tree weight data for a forest stand were also stratified into subpopulations by using symmetric type difference diagrams. In conclusion, a new system was proposed for describing the dependence of mean tree height, mean stem diameter at breast height, and mean tree weight on tree density in a subpopulation.

Key words

Derivative of Pearson's type VII distribution Forest stratification Subpopulation The quasi-1/2 power law of tree height The quasi-3/2 power law system 

Abbreviation

ha

hectare (=10,000 m2)

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Copyright information

© The Botanical Society of Japan 1989

Authors and Affiliations

  • Takuo Yamakura
    • 1
  1. 1.Department of Biology, Faculty of ScienceOsaka City UniversityOsaka

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