黄金分割律在林木测算中的应用研究

Study on Application of Golden Ratio in Measurement and Calculation of Forest Trees

根据国内13个、国外(美、俄、日)8个针阔叶树纯林、混交林、复层林以及"四旁"树的34块样地,计29 000余株的数据,应用黄金分割律,确定各类林木"黄金点"上的"黄金树",推导出计算其胸径公式;并和常规计算方法算出的林木平均胸径进行对比,计算出它们之间的相关关系和相差值;通过t检验,可以达到99%的可靠性,断定"黄金树"胸径就是林分的平均胸径,而且计算简便、精确。用"黄金树"胸径计算林分蓄积量,方法简便,精确可靠。

Based on data of more than 29 000 individual trees from 34 sample plots of 13 tree species in China and 8 tree species in America, Russia and Japan covering the pure forest, mixed forest, multi-storied forest and four-side trees （house side, village side, roadside and waterside） of coniferous and broad-leaf species, the golden ratio trees at the golden ratio section points of different species were determined and the DBH formulae were deduced. By comparison of the mean DBH values calculated with the formulae with the ones got with common calculation method, their correlation and value difference were calculated and t-tested, which could conclude with 99% reliability that the DBH values of the golden ratio trees were the mean DBH values of the stands and that the method using the golden ratio trees to calculate the mean DBH values of the stands is convenient, accurate and reliable.