木材快速生长期内早材与晚材密度分布的数学描述初探

doi:10.11707/j.1001-7488.20131019

Abstract

Abstract:

The theoretical study on the wood formation and density distribution of earlywood and latewood were investigated in this paper. Firstly, the sine function and piecewise function were used to represent temperature and rainfall, respectively. Secondly, considering the temperature and rainfall influence on the growth rate, the tree growth rate model which tree radius was taken as dependent variable and time as independent variable was established. Furthermore, based on the growth rate effect on the density, the density distribution model was developed to describe the relationships between density and the growth rate. Finally, Chinese fir (Cunninghamia lanceolata) plantation wood was taken as an example to test the reliability and validity of the density distribution model. The density distributions along wood radius direction were measured by Soft-X ray analysis system, and the measured results were compared to the theoretical values which calculated by Finite Difference Scheme. The results showed: 1) The periodical change of temperature were obtained by the sine function which was fitted with the temperature data from the forest farm and the coefficient of determination was 0.907.The periodical change of rainfall could be described quantitatively by the piecewise function. 2) The tree growth rate model could be used for quantitative analysis the temperature and rainfall influence on tree growth. 3) The density distribution of earlywood and latewood in radial direction was accurately described by the density model, which provided a quantitative description of the relationship between the macroscopic density of wood and its microscopic density.

Key words: temperature, rainfall, tree growth rate model, early wood and latewood density distribution model

CLC Number:

S781

Hao Xiaofeng, Yu Changming, Jiang Jiali, Lü Jianxiong, Xu Kang. A Preliminary Study on Modeling of Earlywood and Latewood Density Distribution during the Fast Growth Period[J]. Scientia Silvae Sinicae, 2013, 49(10): 118-126.

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A Preliminary Study on Modeling of Earlywood and Latewood Density Distribution during the Fast Growth Period

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