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Mathematical Simulations of the Relationship between Height and DBH of Juglans mandshurica Population in Taiyue Forest Region

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Author:
No author available
Journal Title:
JOURNAL OF BIOMATHEMATICS
Issue:
3
DOI:
10.3969/j.issn.1001-9626.2008.03.005
Key Word:
山核桃种群;树高;胸径;数学模拟;Juglans mandshurica;Height;Diameter at breast height;Mathemat-ical simulations

Abstract: It is very essential for improving the forestry management scien-tificly to construct the model of average height (H) and average diameter at the breast height (DBH). Based on the field data gathered from Juglans mandshurica popula-tion, the relationship between H and DBH is regressed with ten mathematical mod-els. The results show an intimate correlation between average height and average DBH in Juglans mandshurica population, and the fitting of four regression models (H = α + blnD,H =α+bD+CD2,H=a+bD+cD2+dD3andH-=α+b/D)is far better.In test of applicability, the four regression models above all exhibit a better applicability, while the best fitting are H=a+bD+cD2,H=a+bD+cD2+dD3,which are the most representative ones. With regard to the precision, the highest is the bino-mial regression model, while the second is the cubic regression. This provides theoretical basis for further studies on the structure of Juglans mandshurica community, as well as the forest management and resource investigation in Taiyue Forest Region.

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