张思玉, 胥辉. 树冠中的黄金分割初步探析[J]. 西南林业大学学报, 2001, 21(1): 14-19. DOI: 10.11929/j.issn.2095-1914.2001.01.003
引用本文: 张思玉, 胥辉. 树冠中的黄金分割初步探析[J]. 西南林业大学学报, 2001, 21(1): 14-19. DOI: 10.11929/j.issn.2095-1914.2001.01.003
ZHANG Si-yu, XU Hui. An Analysis on the Golden Section in the Tree Crown[J]. Journal of Southwest Forestry University, 2001, 21(1): 14-19. DOI: 10.11929/j.issn.2095-1914.2001.01.003
Citation: ZHANG Si-yu, XU Hui. An Analysis on the Golden Section in the Tree Crown[J]. Journal of Southwest Forestry University, 2001, 21(1): 14-19. DOI: 10.11929/j.issn.2095-1914.2001.01.003

树冠中的黄金分割初步探析

An Analysis on the Golden Section in the Tree Crown

  • 摘要: 将现实林冠底部横断面看作是以东西长和南北长(冠长)为对角线的菱形,求算出菱形的面积(Slx),并将以最大冠长为直径的圆面积视为树冠的潜在面积或理论面积(Sy),采用GMB=Slx/Sy分别计算天山云杉(Picea schrenkiana var. tianshanico)人工幼林12块中心样方, 1987和1993年的2期树冠调查资料,发现:GMB符合"黄金分割"(0.599 ≤ GMB ≤ 0.637)的树冠较匀称,而GMB不符合黄金分割(GMB < 0.599)的树冠则属于偏冠.同时, GMB是否符合黄金分割还能反映出林木个体间的竞争格局,并且GMB可以单独作为一个指标应用到中幼林的抚育间伐等领域.因此,探讨树冠中的黄金分割具有重要的研究价值和应用潜力.

     

    Abstract: In order to calculate GMB=Slx/Sy, the cross section of tree crown bottom was regarded as a rhomb whese diagonal lines were formed by the length (crown length) from east to west and from north to south, and as a circle with a longer diameter in the two crown length to calculate the rhomb area(Slx) treating as real crown acre and the circle area(Sy) treating as potential or theoretical area With 12 centric sample plots of Picea schrenkiana var. tianshanica young plantation in 1987 and 1993, the GMB were calculated The results show that the tree crowns in accord with the golden section(0.599 ≤ GMB ≤ 0.637) are symmetrric while those out of accord with the golden section(GMB < 0.599) are bias crowns And the results also show that the GMB can not only reveal the competition structure, but also can be taken for an index to use into thinning theories Therefore, the study on the golden section in the tree crown has both an important value and an applicable potentiality.

     

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