基于最大熵原理的多尺度毛竹胸径分布统一模型构建及应用
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国家自然科学基金资助项目(30771715; 30700638); 浙江省科技厅资助项目(2008C12068)


Constructing unite distribution model of multiple scaling moso bamboos diameter on maximum entropy and application
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    摘要:

    在生态学中,尺度问题一直是重点也是难点,多尺度胸径分布问题经常遇到且至今没有很好的解决方法,建立多尺度胸径分布统一模型是解决问题的关键;多尺度胸径分布统一模型的建立包括2方面的内容:第一,选择合适的概率分布函数,应用最大熵原理推出胸径分布统一模型,它具有明确的解析表达式,既能克服常用方法无法解释测树因子服从某种概率分布的真正原因,也能克服常用方法无法区分测树因子服从多种概率分布的不足,从而可以作为林分尺度测树因子概率分布的统一模型。第二,尺度与尺度转换,常用研究尺度问题的方法具有2个不足:(1)研究大尺度时损失了样地(林分尺度)资料的宝贵信息;(2)研究林分尺度时无法进行尺度转换。提出的联合最大熵概率密度函数可以克服常用研究尺度方法的以上2个不足,该函数的每一个组成部分都是最大熵函数;联合最大熵概率密度函数可以作为多尺度胸径分布统一模型,既可以最大限度的利用每个样地的信息,又可以进行多尺度的自由转换,从而为测树因子统计分布建模提供了一种有效方法;用森林资源连续清查样地中属于安吉的22个毛竹样地对文中提出的方法进行了验证,结果表明方法可行且对每个样地的拟合精度都很高。

    Abstract:

    In the practice of forest ecology, scale transfer was an important key question. Multiple scales distribution of diameter was often came and the better resolved method was not put forward. Multiple scales model built was a better method on this facet, It included 2 contents: firstly, appropriate choice of probability distributions model.This paper used Maximum Entropys theory to educe unite distribution model of diameter,and which could explain causes that certain distribution was obeyed by measurement factors.So it could be unite Probability distribution model on plot scale.Secondly, scales transfer each other.There were 2 disadvantages in generally method that researched scales questions: (1) taking large scale would cause the losses of base plot information, and (2) small scale in stand level is difficult to scale up.In this paper, we applied Maximum Entropys theory to build the united Maximum Entropys Probability function. It overcame generally methods disadvantage.So the united Maximum Entropys function for the probability density sufficiently made use of each Moso bamboo plots information, and realized multiple scales.Finally,this paper used 22 plots of Moso bamboo to verify this method, and results indicated that new model was feasible and estimated precise of each plot was high.

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刘恩斌,周国模*,葛宏立,杜华强.基于最大熵原理的多尺度毛竹胸径分布统一模型构建及应用.生态学报,2009,29(8):4070~4077

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