生物量统一模型构建及非线性偏最小二乘辩识——以毛竹为例
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国家自然基金资助项目(30771715); 浙江省科技厅资助项目(2008C12068);国家自然基金资助项目(30700638)


Construction of biomass unite model with nonlinear partial least squares regression:a case of study for bamboo biomass
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    摘要:

    树种生物量数据是研究许多林业与生态问题的基础,如何准确估算树种的生物量十分重要,建立生物量模型是生物量估测的主要手段。鉴于常用估算生物量模型具有多样性、经验性、在实际应用中有很大限制等特点,提出利用Chebyshev正交多项式系构建生物量估算统一模型的新思路,这种构建模型的方法有完备的理论基础、统一的模型结构,其实质是一种进行变量区间变换,缩小变量定义域的数值插值方法,模型阶数越高,插入的点越多,估算结果越符合实际,这与树木的树干解析与树木生长原理是相一致的;鉴于常用最小二乘具有的一些缺陷,用适应范围更广的偏最小二乘对统一模型进行参数辩识;指出毛竹生物量的研究与其它树种生物量的研究不同,根据毛竹自身的生长特征,把其生物量的研究分成2个阶段;最后估算了毛竹第1阶段的生物量,结果表明拟合精度很高:当提取55个主成分时,SPRESS,h达到最小,其值为31.4390,R2=0.9987,离差平方和为0.2518,比传统方法估计误差5.623提高了一个数量级。

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    Forest biomass is a basic quantity character of the forest ecosystems, and which indicates the structure and function of forest.To estimate accurately biomass, establishing biomass models is a major way.However, model of common estimated biomass is experience and its application is very limited. In this paper, we constructed a Chebyshev′s orthogonal polynomial′s property and constructed base of Continuous Functions′s Hyperspaces, and uniform Model of forest biomass was expressed as linear combination of the basis, and provided a new method to tree genus′s theoretic biomass model. This method of constructed model has complete theoretic base, so current Model of Forest Biomass was an especial example of uniform Model.Method of model′s construction was essential numerical interpolation, This interpolation firstly processed interval transform and reduced independent variable′s fields of definition. Model order was the higher, and its interpolation point was more. The estimated result was much according with practical, and also it was according with principium of stem analysis and wood growth.As disadvantages of common least squares, we applied partial least squares to calculate model of forest′s biomass. This paper indicated Moso bamboo biomass′s research was not same as other tree genus′s. On the base of Moso bamboo′s character, its biomass′s was divided into 2 phases. Finally, this paper applied uniform Model of Forest Biomass to research Moso bamboo′s biomass of the first phase, and result indicated fitted effect was better: SPRESS, h=314390,R2=0.9987, minimum variance was 0.2518,The result shows that the improved method can improve more 10 percent estimative precision than that of old method.

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刘恩斌,周国模*,姜培坤,葛宏立,杜华强.生物量统一模型构建及非线性偏最小二乘辩识——以毛竹为例.生态学报,2009,29(10):5561~5569

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