— 166 — 



TAB*LE II. 

 On the Volume Curve. 



1°. For a stand with "a" grade: 



Equation 



Ageof32i/=0.0003860d"'^' ±3.^ . = 0.1 234 (-|—l) +0.0384 ±.lQt .=0.0006<i2- 0.0082 ±4.T 



Ageof37 .=0.0003567/"^^ ±1.6 . = 0.090o(-^- -l)+0.0542 ± 9.2 i/ = 0.0005 d-'- 0.00 10 ±2.» 



Ageof41 .=0.000406C/^^^^ ±2.3 r; = 0.2154(-^-l} + 0.0£95 ± 7.0 .=0.0007^^-0.0141 ±2.2 



Ageof47!; = 0.0003593d'-^'^' ±6.6 « = 0.241 1(^— 1) + 0.1222 ±10.5 !;=0.000ei^'-0.0079 ±1.0 



Ageof52!;=0.0001882/'^^° ±3.3 i;=0.4682(~-l) +0.1989 ± 4.3 ;; = 0.0008^^-0.0047 ±5.4 



1". For a stand with "b" grade: 



Ageof32B=0.0003925/^°'^ ±7.0 y=0.1 729 (-^^ - l) +0.0546 ± 4.6 .=0.0006^^-0.0082 ±7.3 



Age of 37 . = 0.0004372/^®" ±2.0 y = 0.2070 (-^ - l) +0.0831 ± 5.3 . = 0.0007fl!2_0.0144 ±2.5 



Ageof41 . = 0.003567 c?''''"^ ±3.1 .=0.2506(-^- l)+0.1 177 ± 3.2 . = 0.0007^^-0.0128 ±2.8 



Ageof47 .=0.00037ie/^^^^ ±4.0 .=0.3384(-^-l)+0.1603 ± 1.6 .=0.0007^2- 0.0168 ±4.0 



Age of 52 . = 0.0002828/^^°® ±1.6 .= 0.5473 (-^ - l) + 0.2292 ± 4.0 . = 0.0009<i''- 0.0345 ±1.8 



3°. For a stand with "c" grade: 



Age of 32 .=0.0003440d^''^^^^ ±4.6 .=0.1766(-^-- l) +0.0787 ±11.4 .=0.0006^2-0.0052 ±4.8 



Ageof37 .=0.0005518d^'''^^° ±2.5 .=0.2532(~^-- l) +0.1080 ±12.3 .=0.0008^2-0.0212 ±2.6 



Ageof41 . = 0.00074 18d^"^°^^ ±3.4 . = 0.3489^^ -l) + 0.1444 ±10.9 .=0.0009^2-0.0455 ±1.5 



Age of 47 .=0.005368 d^'"*^^^ ±2.7 .=0.4909(^- l) +0.2161 ±10.9 .=0.0009^^-0.0411 ±5.0 



Ageof 52 .=0.004618 d^'"*^^^ ±2.3 . = 0.6955(-^~- l) + 0.3080 ± 6.2 . = 0.00 ICd;^- 0.0522 ±1.3 



The following diagrams (Plate XIX) show a comparison of the 

 theoretical and observed results. Again comparing the probable percentage 

 difference of both forms of the equation of volume with respect to age, 

 we see that generally the probable percentage difference of the equation in 

 first approximation is greater than that of the original one. So we may 

 arrive at the conclusion that the relation existing between the volume and 

 diameter of test tree will be expressed in crude approximation by the 

 equation : 



