Analysis of relative abundances with zeros on environmental gradients: a multinomial regression model.
Analysis of relative abundances with zeros on environmental gradients: a multinomial regression model.
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作者：
Chong F;Spencer M
生态学家经常分析相对丰度，这是组成数据的一个例子。然而，令人惊讶的是，他们很少利用成分数据分析领域的最新进展。组合形成了一个向量空间，其中加法和标量乘法被称为扰动和幂的运算所取代。这种代数结构使我们很容易理解相对丰度是如何沿沿着变化的。我们说明了这一点与分析的变化，硬基质海洋群落沿着深度梯度。我们拟合一个二次多元回归模型与多项观察点计数数据从视频样带。在这种情况下，多项式不仅是一个合适的观察模型，而且还处理了零的问题，这通常会使成分数据分析变得困难。我们展示了如何组合物的代数可以用来理解模式的不同。我们使用单纯形值函数的微积分来估计变化率，并总结了垂直切片上的社区结构。我们讨论的组成方法的相对丰度数据的解释和可视化的好处。
Ecologists often analyze relative abundances, which are an example of compositional data. However, they have made surprisingly little use of recent advances in the field of compositional data analysis. Compositions form a vector space in which addition and scalar multiplication are replaced by operations known as perturbation and powering. This algebraic structure makes it easy to understand how relative abundances change along environmental gradients. We illustrate this with an analysis of changes in hard-substrate marine communities along a depth gradient. We fit a quadratic multivariate regression model with multinomial observations to point count data obtained from video transects. As well as being an appropriate observation model in this case, the multinomial deals with the problem of zeros, which often makes compositional data analysis difficult. We show how the algebra of compositions can be used to understand patterns in dissimilarity. We use the calculus of simplex-valued functions to estimate rates of change, and to summarize the structure of the community over a vertical slice. We discuss the benefits of the compositional approach in the interpretation and visualization of relative abundance data.
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影响因子：
3.8
作者：
Billheimer, D;Cardoso, T;Silkey, M
通讯作者：
Silkey, M
影响因子：
4.8
作者：
BORCARD, D;LEGENDRE, P;DRAPEAU, P
通讯作者：
DRAPEAU, P
DOI：
10.1007/bf00891269
发表时间：
1992-05-01
期刊：
MATHEMATICAL GEOLOGY
影响因子：
--
作者：
AITCHISON, J
通讯作者：
AITCHISON, J
影响因子：
5.8
作者：
Carpenter, Bob;Gelman, Andrew;Riddell, Allen
通讯作者：
Riddell, Allen
DOI：
10.1198/016214501753381850
发表时间：
2001-12-01
影响因子：
3.7
作者：
Billheimer, D;Guttorp, P;Fagan, WF
通讯作者：
Fagan, WF