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We propose a truncation model for abundance distribution in the species richness estimation. This model is inherently semiparametric and incorporates an unknown truncation threshold between rare and abundant counts observations. Using the…

统计方法学 · 统计学 2017-05-23 François Koladjo , Mesrob I. Ohannessian , Élisabeth Gassiat

We wish to estimate the total number of classes in a population based on sample counts, especially in the presence of high latent diversity. Drawing on probability theory that characterizes distributions on the integers by ratios of…

统计方法学 · 统计学 2014-12-10 A. Willis , J. Bunge

Richness estimation of an interesting area is always a challenge statistical work due to small sample size or species identity error. In the literatures, most richness estimators were only proposed to tackle the underestimation of the…

应用统计 · 统计学 2020-12-18 Jai-Hua Yen , Chun-Huo Chiu

We consider the estimation of the total number $N$ of species based on the abundances of species that have been observed. We adopt a non parametric approach where the true abundance distribution $p$ is only supposed to be convex. From this…

统计方法学 · 统计学 2014-04-21 Cécile Durot , Sylvie Huet , François Koladjo , Stéphane Robin

Population analysis is persistently challenging but important, leading to the determination of diversity and function prediction of microbial community members. Here we detail our bioinformatics methods for analyzing population distribution…

We wish to formally test for changes in the taxonomic diversity of a community, especially in the presence of high latent diversity. Drawing on the meta-analysis literature, we construct a model for diversity that accounts for covariate…

统计方法学 · 统计学 2015-06-19 Amy Willis , John Bunge , Thea Whitman

Quantitative methods for studying biodiversity have been traditionally rooted in the classical theory of finite frequency tables analysis. However, with the help of modern experimental tools, like high throughput sequencing, we now begin to…

统计方法学 · 统计学 2015-12-22 Maciej Pietrzak , Grzegorz A. Rempała , Michał Seweryn , Jacek Wesołowski

Identifying which taxa in our microbiota are associated with traits of interest is important for advancing science and health. However, the identification is challenging because the measured vector of taxa counts (by amplicon sequencing) is…

基因组学 · 定量生物学 2020-03-31 Barak Brill , Amnon Amir , Ruth Heller

Global species richness is a key biodiversity metric. Despite recent efforts to estimate global species richness, the resulting estimates have been highly uncertain and often logically inconsistent. Estimates lower down either the taxonomic…

应用统计 · 统计学 2017-11-10 Huan Lin , M. J. Caley , Scott A. Sisson

Quantifying diversity is of central importance for the study of structure, function and evolution of microbial communities. The estimation of microbial diversity has received renewed attention with the advent of large-scale metagenomic…

种群与进化 · 定量生物学 2013-08-06 Bart Haegeman , Jérôme Hamelin , John Moriarty , Peter Neal , Jonathan Dushoff , Joshua S. Weitz

A Bayesian nonparametric approach to the study of species diversity based on choosing a random discrete distribution as a prior model for the unknown relative abundances of species has been recently introduced in Lijoi et al. (2007, 2008).…

统计理论 · 数学 2012-03-09 Annalisa Cerquetti

High throughput sequencing (HTS) continues to expand our understanding of microbial communities, despite insufficient sequencing depths to detect all rare taxa. These low abundance taxa are not accounted for in existing methods for…

应用统计 · 统计学 2016-05-10 Amy Willis , John Bunge , Thea Whitman

Statistical inference on biodiversity has a rich history going back to RA Fisher. An influential ecological theory suggests the existence of a fundamental biodiversity number, denoted $\alpha$, which coincides with the precision parameter…

统计方法学 · 统计学 2025-02-04 Tommaso Rigon , Ching-Lung Hsu , David B. Dunson

Phytoplankton plays an important role in marine ecosystem. It is defined as a biological factor to assess marine quality. The identification of phytoplankton species has a high potential for monitoring environmental, climate changes and for…

机器学习 · 统计学 2017-01-24 Thi-Thu-Hong Phan , Emilie Poisson Caillault , André Bigand

Random forest (RF) stands out as a highly favored machine learning approach for classification problems. The effectiveness of RF hinges on two key factors: the accuracy of individual trees and the diversity among them. In this study, we…

机器学习 · 计算机科学 2024-10-28 Ye-eun Kim , Seoung Yun Kim , Hyunjoong Kim

Quantification of measurement uncertainty is crucial for robust scientific inference, yet accurate estimates of this uncertainty remain elusive for ecological measures of diversity. Here, we address this longstanding challenge by deriving a…

种群与进化 · 定量生物学 2024-02-27 Andreas Tiffeau-Mayer

Research over the past few decades has assumed the richness (number of species) to be the primary driver of the biodiversity and ecosystem function (BEF) relationship. However, biodiversity is multi-dimensional, and richness alone does not…

The Shannon entropy is a fundamental measure for quantifying diversity and model complexity in fields such as information theory, ecology, and genetics. However, many existing studies assume that the number of species is known, an…

统计方法学 · 统计学 2026-02-23 Takato Hashino , Koji Tsukuda

In microbial ecology studies, the most commonly used ways of investigating alpha (within-sample) diversity are either to apply count-only measures such as Simpson's index to Operational Taxonomic Unit (OTU) groupings, or to use classical…

种群与进化 · 定量生物学 2013-05-03 Connor O. McCoy , Frederick A. Matsen

Noncoding RNAs are integral to a wide range of biological processes, including translation, gene regulation, host-pathogen interactions and environmental sensing. While genomics is now a mature field, our capacity to identify noncoding RNA…

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