| 用三次设计法最优拟合Taylor幂法则模型 |
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| 引用本文： | 洪伟,潘辉. 用三次设计法最优拟合Taylor幂法则模型[J]. 福建林学院学报, 1991, 0(3) |
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| 作者姓名： | 洪伟 潘辉 |
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| 作者单位： | 福建林学院(洪伟)，福建林业科学研究所(潘辉) |
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| 摘 要： | 在用Taylor方法研究种群空间格局时,拟合Taylor幂法则V=a·m~b通常采用将原函数线性化为1nV=1na+b1nm,然后用线性最小二乘法拟合,求得参数a、b。这种方法不是最优的,本文提出用三次设计法最优拟合Taylor幂法则。实例验证也表明三次设计法简单、精确,优于通常采用的“对数线性化——最小二乘法”。采用前者的拟合残差远小于采用后者时的拟合残差。
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| 关 键 词： | 三次设计 最优拟合 Taylor幂法则模型 |
Optimum Fitting of Taylor''''s Power Law Curve by Three Designs |
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| Hong Wei Pan Hui. Optimum Fitting of Taylor''''s Power Law Curve by Three Designs[J]. Journal of Fujian College of Forestry, 1991, 0(3) |
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| Authors: | Hong Wei Pan Hui |
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| Affiliation: | Hong Wei Pan Hui( Fujian College of Forestry ) (Fujian Forestry Institute) |
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| Abstract: | When assessing and interpreting population spatial patterns with Taylor's Power Law model, transforming the Power function to provide a mathematically equivalent linear equation is a usual method for fitting Taylor's Power Law curve. However, it is not optimum fitting to the untransformed function, i. e. , Taylor's Power Law model itself. In this paper a three design method is introduced for determing the values of the parameters ( a&b ) of Taylor's Power Law model, which will give the minimum least-square fit to a set of data. It is proved to be superior to the usual method in practce. |
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| Keywords: | three design optimum fitting Taylor's Power Law model |
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