By the note of Lars Strand (Forest Science 10 (1), 1964 p. 51), a relascope consisting of a fixed opening, mounted on a rod of variable length, may be used directly to estimate the volume of a stand
on the field. If we use a relascope with wide scale, we can estimate directly the volume per hectare
of a stand, too.
When v
i is the volume per ha (m
8), (fh)
i is the form height and the stem number counted by the basal area factor k
i is ni,
v
i=k
i(fh)
i n
i (1)
If we put k
i (fh)
i=C
i (2)
we get v
i=C
i n
i (3)
In this equation, C
i is called the volume factor in contrast to the basal area factor.
There are next two cases for the estimation of the volume per hectare by use of the, volume factor.
(1) Constant volume factor and variable relascope units (RE)
i.
From equation (2), we get
k
i=C
i/(fh)
i If we know (fh)
i of a stand, we can calculate k
i according to constant C
i (for example, 10, 20, 30, 40, 50 etc.). As (RE)
i=√k
i, we can get the neccesary number of relascope unit(RE)
i.
Stem number counted by (RE)
i multiplied by the constant volume factor is the volume per hectare. In this case, we had better use a small volume factor for a young stand and a large one for an old stand.
(2) Constant relascope unit and variable volume factor.
If we use a constant relascope unit, i.e. √1, √4, √9 etc., we can
calculate variable volume factor C
i according to (fh)
i from equation (2).
In this case, the stem number counted by the constant relascope unit multiplied by the volume factor is the volume per hectare.
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