対数正規分布とその応用(第3報) : 分布の再生性と相対生長

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  • タイスウ セイキ ブンプ ト ソノ オウヨウ 3 ブンプ ノ サイセイセイ ト
  • Lognormal distribution and its applications(3) : Multiplicative reproductive properties and allometry
  • タイスウ セイキ ブンプ ト ソノ オウヨウ ダイ3ポウ ブンプ ノ サイセイセイ ト ソウタイ セイチョウ

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Abstract

The lognormal distribution possesses a number of interesting reproductive properties, most of which are immediate consequences of those for the normal distribution. The lognormal distribution has the multiplicative reproductive property, that is, if X is lognormal and a and b are constants, then aX^b is lognormal. Utilizing this property, the height frequency distribution can be estmatedby the diameter frequency distribu tion. The theoretical method to estimate the height frequency distrihution was proposed. This method was based on the lognormal distribution expressing the diameter frequency and on the height curve derived from the theory of colulmn buckling. Two height frequencies expected by this method fitted the respective observed frequencies sufficiently. The method may be useful and practicable, and it may be a clue to create the new forest inventory system organized with the diameter as a main factor.

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