1. The following result was obtained from the investigations of 90 stands of AKAMATU (Pinus densiflora S. et Z.) in Kinki district in Japan.
2. If D
h represents the mean diameter of head-spar-tree, N
h the number of trees of stand per acre, both just before thinning; D
s the mean diameter of the secondary stand, N
s the number of trees, both just after thinning; and D
h·s· the mean diameter of headspar and secondary stand, N
h·s· the number of stand; then the correlation between N
h/N
h·s· and D
h/D
h·s·, or N
h/N
h·s· and V
h/V
h·s· are highly accurate, and the relations between those may be expressed by the following formulas;
D
sD
hN
s/N
h/1.16870N
s/N
h-0.16870……(1)
logV
s/V
h=1.6958+0.3042N
s/N
h……(3)
log(log D
h/D
s)=-0.465427+1.25108log (log N
h/N
s)……(2)
log(log V
h/V
s)=-0.386325+0.812034log (log N
h/N
s)……(4)
It is statistically recognized that D
h or V
h has no influence on those relations.
3. Average diameter or stem volume of the secondary stand on one age-gradation of the yield table may be calculated by the following method;
A. Average diameter of secondstand.
a. Let the diffferences between the numbers of trees of one age-gradation and the front age-gradation be the numbers of the secondary stand.
b. Calculate N
h/N
h·s· first, and then calculate D
h·s: by the formula (1) or (2).
c. Dividing D
h by D
h/D
h·s·, obtain D
h·s·d. Since D
h·s×N
h·s=D
h×N
h+D
s+N
s, obtain D
s from this expression.
B. Stem volume of secondary stand per acre.
a. Calculate N
h/h·s· same as for A, and next calculate V
h/V
h·s· by the formula (3) or (4).
b. Dividing V
h by V
h/V
h·i·, obtain V
h·s·c. Since V
h·s·=V
h+V
s, obtain V
s from this expression.
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