典范对应分析数据模拟物种丰度计算方法

Species Abundance Calculation Method of Canonical Correspondence Analysis Data Simulation

典范对应分析数据模拟过程中计算物种丰度问题被转化为齐次线性方程组半正解的存在性问题.针对齐次线性方程组任意基础解系至少含两个或三个解向量的情形获得了能否由基础解系表示半正解的充分条件,并给出了计算半正解的算法.

We transform the problem of calculating species abundance in the process of data simulation of canonical correspondence analysis into the existence of semi positive solutions of homogeneous linear equations.For the case that any basic solutions system of homogeneous linear equations contains at least two or three solution vectors,we obtain some sufficient conditions for whether the basic solution system can represent the semi positive solution,and give an algorithm to calculate the semi positive solution.