— 176 — 



The following diagrams (Plate XXVII) show the comparison between the 

 observed and calculated results. 



SUMMARY. 



On surveying the results of the foregoing inquiry the following 

 relations appear to be fairly well confirmed. 



1) The relations showing the developments of the dimensions of trees 

 in stand will be expressed by the following formulae: 



a) On the development of diameter, 



n\= — ^100=i' ' ' ' 1 1' 1 1 - 



N V a, ) \ a.) 



or =i//l+^) 



—TO —<Aan — 

 e "- 



where n,- is the number of trees in diameter-class, N is the total number 

 of trees of stand, i/o is the mode and yo and other constants depend on the 

 age, the quality of site and the form of density. And in crude approxi- 

 mation, the development of diameter may be expressed by the formula: 



, 2<T2 



n',.=yoe. 

 In which it will be estimated that yo and are the functions of D. 



b) On the development of height, 



and in crude approximation, /i=r/-? — 1 \ + t^, 



-Ik __&. 



where t,=ae * and r„=6e * 



c) On the development of volume, 



and in crude approximation, v=:7\(-^ 1 ) + r'„ 



where v,=a'e * and r'„ = 6'e * 



In which D is the average diameter and a and a., b and 6., a' and 

 a\, and &', are the constants which depend on the quality of site and the 

 form of density. 



