Simulation of <i>Haloxylon Ammodendron</i> Stand Basic Diameter Structure Based on Fuzzy Distribution Function
- 1 College of Economics and Management, Hunan University of Arts and Science, Changde, China
- 2 College of Agricultural, Shihezi University, Shihezi, China
- 3 College of Economics and Management, Hunan University of Arts and Science, Changde, China
Abstract
Based on the investigation data of 12 Haloxylon ammodendron plots in the south edge of Gurbantunggut Desert, Fuzzy distribution was introduced into the study of Haloxylon ammodendron base diameter structure fitting according to the consistency between the characteristics of Fuzzy distribution function and the distribution series of cumulative percentage of stand base diameter, and the fitting precision and effect of Fuzzy distribution function were discussed. The root mean square error RMSE and determination coefficient R 2 values showed that Fuzzy-Γ 1 , Fuzzy-Γ 2 , Fuzzy-Γ 3 , Fuzzy-Γ 4 had good fitting performance, among which Fuzzy-Γ 1 had relatively high fitting precision, and its parameters were closely related to stand age and density, Fuzzy-Γ 2 distribution function was the second, and Fuzzy-Γ 4 distribution function had the worst fitting effect. By introducing a parameter c from the similarity of four distribution function formulas, a generalized Fuzzy distribution function Fuzzy-Γ 5 is obtained. This function shows the highest fitting accuracy. Most of the values of parameter c are near 1 or 2, which shows that the diameter distribution is mainly approximate to Fuzzy-Γ 1 and Fuzzy-Γ 2 .
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