— 165 



TABLE I. 

 On the height curves. 



r. For a stand with "a" grade: 



Equation ^f^able 

 ,0.3712 



Equation in first Probable „ i > t, ^. Probable 



approximation % Diffi. Kopezky s Equation ^/niff 



"/o 7ft843Q % 



144.325 



37 2 y° / X \ /<> 78 8439 7'- 



Ageof32 ;i=3.936« ±5.0 ft = 2.7850(- -l)+ 8.4998 ±7.2 ft =^ 10.4681- "^^ ±3.3 



0.3344 



Ageof41 /!=4.304/'^^^' ±3.2 ft=4.6758(^- 



3344 I r \ 



Ageoi31 /i=4.381rf ±2.9 ft = 3.2262(^-=--l)+ 3.3982 ±3.3 /j=11.2897 



±7.4 



Age of 47 ft=8.504rf 



,0.1860 



±3.1 /j = 4.3290(^--l 



Age of 52 ft=9.026i°''^''^^ ±0.8 ft = 2.9793 [ '^ 



'Vd" 



2°. For a stand with "b" grade: 



Age of 32 /i=5.364d°"'^^^'' ±2.2 ft = 2.6528(^- 



Ageof39 ft=4.304/'^^'^ ±1.8 ft = 4.3163(~— 1 



Age of 41 ft = 6.162d°'^^^^ ±1.4 ft=4.9115(-:^-l 



Age of 47 ft =6.034/"^°'^ ±1.0 ft=4.1477('-^ -1 



Age of 52 ft =6. 120/'^''®' ±1.0 ft=5.297l(-^-I 



3°. For a stand with " c " grade : 



Age of 32 ft=4.297d°'^'''^ ±2.2 ft = 4.0586(-~--l 



Age of 37 ft=4.200d 



,0.4059 



±1.4 ft=4 



,7620(^ 



+ 11.3577 ±3.1 ft= 13.9494-??^^ ±6.9 



434 8855 

 + 13.7418 ±0.8 ft= 16.3612- , ±6.0 



+ 15.8180 ±0.7 ft =19.0681-^-—- ±2.3 



a' 



+ 9.7927 ±1.7 ft=11.8348-^^^^^^ ±7.1 



303 1313 

 + 10.7448 ±1.1 ft= 13.4356- ' ±7.4 



+ 11.8157 ±2.1 ft =14.4164-^^^1^ ±2.1 



d^ 

 Ali llAn 



+ 13.5855 ±1.2 ft=15.7986- — '-^— ±2.2 



d' 



+ 16.3701 ±1.1 ft= 19.5906-^^^^^ ±0.2 



d^ 



+ 10.3519 ±4.8 ft= 12.3844— ^^5^^ ±1.4 



d- 



+ 11.5863 ±1.5 ft= 14.1498-^5^-^^ .j.2.9 



571.4958 

 + 12.3891 ±3.6 ft= 15.8575- — rr— ±6.8 



d^ 



+ 15.4818 ±2.7 ft = 18.4979 -^^^i^ ±3.1 



d' 



+ 17.8054 ±1.6 ft = 20.6551-^^^^^ ±0.9 



Age of 41 ft=3.572/ ±3.8 ft = 6.0383(^- 



3944 / r 



Age of 47 ft=5.146d ±2.2 ft=5.9933(^- 



Ageof52 ft=6.998d°'^^'° ±1.3 ft = 5.6425(~- 



The following diagrams (Plate XVIII) show a comparison of 

 theoretical and observed results. Futhermore the probable percentage 

 <iifferences of the approximate equation do not exceed twice those from the 

 ■original equations or, in other words, the results of the two equations 

 are nearly equivalent. So we may arrive at the conclusion that the 

 relation exist between the height and diameter of test tree will be re- 

 presented by the equation : 



This last equation is a very convenient one to apply, but in the appli- 

 cation, care must be taken in selecting the test tree. 



