Modelling the abundance of rare species: Statistical models for counts with extra zeros

Modelling the abundance of rare species: Statistical models for counts with extra zeros
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DOI:
10.1016/0304-3800(95)00113-1
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发表时间:
1996-07-01
影响因子:
3.1
通讯作者:
Lindenmayer, DB
Lindenmayer, DB
中科院分区:
环境科学与生态学3区
文献类型:
--
作者:
Welsh, AH;Cunningham, RB;Lindenmayer, DB

文献摘要

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我们考虑了几种用于分析稀有物种丰度的统计模型,这些模型详细说明了澳大利亚东南部山地灰森林中Leadbeater负鼠的丰度数据。这些数据的特征是一个离散分布,零类膨胀。在许多统计问题中,这种分布的参数依赖于协变量,例如空心果树的数量。我们提倡一种条件模型,它易于解释和拟合。我们展示了如何获得参数估计的标准误差。我们还展示了如何估计一个地点的动物平均丰度。本文概述的方法为研究具有膨胀零类的离散响应(如丰度)的问题提供了一个强有力的框架。
We consider several statistical models for the analysis of the abundance of a rare species and these are illustrated in detail with data for the abundance of Leadbeater's Possum in montane ash forests of south-eastern Australia. These data are characterised by a discrete distribution with the zero class inflated. In many statistical problems the parameters of this distribution depend on covariates, such as the number of hollow bearing trees. We advocate a conditional model which is simple to interpret and readily fitted. We show how to obtain standard errors for the parameter estimates. We also show how to estimate the mean abundance of animals at a site. The methods outlined in this paper offer a powerful framework for the study of problems having a discrete response (like abundance) with the zero class inflated.