I-69杨材积生长的数学模拟和有序聚类分析  

Mathematical Simulation and Sequential Cluster Analysis on Volume Growth of Populus×euramericana 'I-69'

作　　者：魏蕾[1] 曹帮华[1] 唐全[1] 贾波[1] 秦永建[1] 

机构地区：[1]山东农业大学林学院,山东泰安271000

出　　处：《西南林学院学报》2009年第1期53-57,共5页Journal of Southwest Forestry College

基　　金：山东省农业良种工程项目计划资助(鲁科农字【2006】90号)

摘　　要：通过Logistic方程数学模拟和有序聚类分析，对19年生Ⅰ-69杨的材积生长规律进行研究。Ⅰ-69杨材积生长表现出明显的“慢-快-慢”的生长节律，用Logistic方程拟合效果好（R=0．99468，P〈0．0001）。结果表明：Ⅰ-69杨的生长过程可分为：缓苗期、生长初期、速生期和生长后期4个时期；聚类分析生长进程的结果与Logistic方程拟合结果基本吻合，进一步验证了利用Logistic方程拟合生长规律的可行性。按照材积各生长时期划分结果，速生期仅8～9年，但速生期生长量占总生长量的比率却很大，为64．68％～71．30％，生产中应重点加强速生期树木的管理，以期降低生产经营成本，最大限度地促进树木生长。The standing volume growth rhythm of 19-year old Populus × euramericana ＇Ⅰ-69＇ was studied by means of mathematical simulation by Logistic equation and sequential cluster analysis. It was showed by the study that the volume growth of P. × euramericana ＇ Ⅰ-69＇ appeared to be significant ＇ fast-slow-fast＇ growth rhythm, and it might be well expressed by Logistic equation （R = 0. 994 68, P 〈 0. 000 1 ）. The results showed that the growth process could be divided into four stages, i. e. , the survival stage, early growth stage, rapid growth stage and late growth stage. Besides, the growth course analyzed by sequential cluster analysis basically coincided with that of Logistic equation, which further verified the feasibility to modulate the growth rhythm of this poplar clone with Logistic equation. According to the study results, although the fast growth stage of standing volume lasted for only 8 -9 years, the volume increment of this stage accounted for 64. 68% - 71.30% of the total volume growth increment. It was recommended intensify the tending of the trees during their rapid growth stage so as to promote the volume growth to the greatest extent while reduce the tending cost for the timber production.

关 键 词：I-69杨 材积生长 LOGISTIC方程 有序聚类 

分 类 号：S758[农业科学—森林经理学]