On determination of harmonious growth curve in preparation of yield table

Abstract

1) An improved method -of determination of harmonious growth curve in preparation of yield table-especially suitable to the species having branch whorls-is described in this note by hypothetical examples.
2) The relation between the average height of trees (same as the height of the sample tree) of stands, y, and the height of the same sample tree before 5 years, x, are shown with the expression (1)_??_(9).
3) The following is well known in the forestry world that the number of trees of the stand per acre (N, or n) varies with the average height of the stand (H, or h), and in this note the following expression is assumed,
log N(or n)=p+q•log H (or h), p=4.9295, q=1.6768.
4) The auther published that, if the average height, H varies to h when the stand of N trees is thinned into n trees, then h/H varies with n/N. In this note the relation is indicated in Table 4, and the following expression is assumed in every section,
log h/H=a+b•log n/N
The data of a, b, are listed in Table 4, also.
5) For example, when the average height of a stand of 25 years of age is 11.46 m, and the number of trees of the stand is 1424, the height of the sample tree of 20 years becomes 9.18 (h) by the expression (4).
Next, supposing that the stand of 20 years of age-the average height, H ; the number of trees, N-is thinned and becomes n trees (1424), and also the average height, h, becomes 9.18m, then, log H can be calculated by the following expressions which are induced from 2 expressions above mentioned,
_??_ and finally we will get H=8.78, N=2277.
6) We can draw any desirous growth curve repeating this process to both side of age.