Relationship between Machilus' Height and Allometric Growth of Diameter at Breast
HU Boa
Abstract
HU Boa
Abstract
The relationships between Machilus' height(H) and diameter at breast(D),and the diameter(D) at 0.25H,0.5H,and 0.75H,are analyzed by logarithmic model of power exponent function: lgH=a+blgD.The results show that,there are significant differences in the index of allometric growth in different growth stages of Machilus.The index of allometric growth between the tree height and the diameter at different height decreases with the growth of the diameter at breast;and decreases with the increase of height of the tree.It is indicated that,there is not a universal relationship between tree height and diameter at breast,the index should be systematically reduced with the growth of plant.
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The relationships between Machilus' height(H) and diameter at breast(D),and the diameter(D) at 0.25H,0.5H,and 0.75H,are analyzed by logarithmic model of power exponent function: lgH=a+blgD.The results show that,there are significant differences in the index of allometric growth in different growth stages of Machilus.The index of allometric growth between the tree height and the diameter at different height decreases with the growth of the diameter at breast;and decreases with the increase of height of the tree.It is indicated that,there is not a universal relationship between tree height and diameter at breast,the index should be systematically reduced with the growth of plant.
Key concepts: Allometry, Diameter at breast height, Mathematics, Power function, Growth model, Tree allometry, Logarithm, Tree (set theory)