Coverage‐based rarefaction and extrapolation: standardizing samples by completeness rather than size

A Chao, L Jost - Ecology, 2012 - Wiley Online Library
We propose an integrated sampling, rarefaction, and extrapolation methodology to compare
species richness of a set of communities based on samples of equal completeness (as …

Spatially constrained rarefaction: incorporating the autocorrelated structure of biological communities into sample-based rarefaction

A Chiarucci, G Bacaro, D Rocchini, C Ricotta… - Community …, 2009 - Springer
Rarefaction is a widely applied technique for comparing the species richness of samples
that differ in area, volume or sampling effort. Despite widespread adoption of sample-based …

Quantifying biodiversity: procedures and pitfalls in the measurement and comparison of species richness

NJ Gotelli, RK Colwell - Ecology letters, 2001 - Wiley Online Library
Species richness is a fundamental measurement of community and regional diversity, and it
underlies many ecological models and conservation strategies. In spite of its importance …

Rarefaction and extrapolation with Hill numbers: a framework for sampling and estimation in species diversity studies

A Chao, NJ Gotelli, TC Hsieh, EL Sander… - Ecological …, 2014 - Wiley Online Library
Quantifying and assessing changes in biological diversity are central aspects of many
ecological studies, yet accurate methods of estimating biological diversity from sampling …

[PDF][PDF] Species richness: estimation and comparison

A Chao, CH Chiu - Wiley StatsRef: statistics reference online, 2016 - researchgate.net
On the basis of the sampling data from an assemblage, estimation of species richness
(observed plus undetected) is statistically difficult especially for highly-diverse assemblages …

Models and estimators linking individual-based and sample-based rarefaction, extrapolation and comparison of assemblages

RK Colwell, A Chao, NJ Gotelli, SY Lin… - Journal of plant …, 2012 - academic.oup.com
Aims In ecology and conservation biology, the number of species counted in a biodiversity
study is a key metric but is usually a biased underestimate of total species richness because …

Nonparametric estimation and comparison of species richness

A Chao, CH Chiu - Els, 2016 - Wiley Online Library
Species richness (the number of species) in an assemblage is a key metric in many
research fields of ecology. Simple counts of species in samples typically underestimate the …

Discovering and rediscovering the sample-based rarefaction formula in the ecological literature

A Chiarucci, G Bacaro, D Rocchini, L Fattorini - Community Ecology, 2008 - Springer
Rarefaction has long represented a powerful tool for detecting species richness and its
variation across spatial scales. Some authors recently reintroduced the mathematical …

Quantifying sample completeness and comparing diversities among assemblages

A Chao, Y Kubota, D Zelený, CH Chiu, CF Li… - Ecological …, 2020 - Wiley Online Library
We develop a novel class of measures to quantify sample completeness of a biological
survey. The class of measures is parameterized by an order q≥ 0 to control for sensitivity to …

Estimating species richness: sensitivity to sample coverage and insensitivity to spatial patterns

U Brose, ND Martinez, RJ Williams - Ecology, 2003 - Wiley Online Library
The number of species in an area is critical to the development of evolutionary and
ecological theory from mass extinctions to island biogeography. Still, the factors influencing …