On the Use of Some Methods for the Estimation of Species Richness

Baltanás, Ángel Luis

doi:10.2307/3545566

Cited by 118 publications

(114 citation statements)

References 40 publications

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“…Este estimador calcula a riqueza de uma comunidade somando o número observado de espécies a um parâmetro calculado a partir do número de espécies raras encontradas, i.e., número de espécies que ocorrem em apenas uma amostra ("uniques"), e do número de amostras (Santos 2003, Hellmann & Fowler 1999. O algoritmo do Jackknife 1 também apresenta melhor desempenho geral, sendo menos afetado por efeitos externos em testes simulados em ambiente computacional e utilizando dados reais (Baltanás 1992, Palmer 1991, Walther & Morand 1998 para adultos, somente com os dados de abundância total obtidos pelo método de levantamento em sítio de reprodução, e para girinos, com os dados de coleta com puçá. Comparamos a curva de riqueza observada, obtida pelo algoritmo do Mao Tau, com a curva de riqueza estimada pelo algoritmo Jackknife 1 considerando a sobreposição dos intervalos de confiança de ambas as curvas.…”

Section: Análises Dos Dadosunclassified

Diversidade de Anuros (Amphibia) na reserva extrativista Lago do Cedro e seu entorno, Aruanã, Goiás

Melo

Fava

Pinto³

et al. 2013

Biota Neotrop.

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Abstract:The Cerrado is a tropical savannah with a diversified anuran assemblage, with 209 to 271 known species, of which approximately 51% are endemic. In this study, we report results of an anuran survey performed in the Extractivist Reserve of the Lago do Cedro, located in the northwestern region of the state of Goiás, Brazil. In this area, we recorded 36 anuran species, distributed in five families, from which five species are Cerrado endemics. This high species richness found in the Extractivist Reserve of the Lago do Cedro could be explain by the different vegetational types within the reserve boundaries that promote a high local heterogeneity. Species richness and representativeness per family are similar to other assemblages reported for different areas in the Cerrado domain, being the local anuran assemblage composed by generalist and widely distributed species. The families Hylidae and Leptodactylidae are the most diversified in the studied area, a common pattern found in neotropical assemblages. The Extractivist Reserve Lago do Cedro is an important area for Cerrado conservation because of the anuran diversity and geographic location, which allows the connection among other protected areas within the Araguaia basin.

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Section: Análises Dos Dadosunclassified

Diversidade de Anuros (Amphibia) na reserva extrativista Lago do Cedro e seu entorno, Aruanã, Goiás

Melo

Fava

Pinto³

et al. 2013

Biota Neotrop.

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“…In contrast, the non-parametric estimators have been suggested to perform better than SAC and parametric methods (Baltanas 1992;Colwell and Coddington 1994;Walther and Morand 1998;Walther and Martin 2001;Hortal et al 2006). These non-parametric estimators were originally developed to estimate population size based on capture-recapture data and adapted to extrapolate total species richness (Williams et al 2002).…”

Section: Introductionmentioning

confidence: 99%

Estimation of regional richness in marine benthic communities: quantifying the error

Canning-Clode

Valdivia

Molis

et al. 2008

Limnology & Ocean Methods

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Species richness is the most widely used measure of biodiversity. It is considered crucial for testing numerous ecological theories. While local species richness is easily determined by sampling, the quantification of regional richness relies on more or less complete species inventories, expert estimation, or mathematical extrapolation from a number of replicated local samplings. However the accuracy of such extrapolations is rarely known. In this study, we compare the common estimators MM (Michaelis-Menten), Chao1, Chao2, ACE (Abundance-based Coverage Estimator), and the first and second order Jackknifes against the asymptote of the species accumulation curve, which we use as an estimate of true regional richness. Subsequently, we quantified the role of sample size, i.e., number of replicates, for precision, accuracy, and bias of the estimation. These replicates were sub-sets of three large data sets of benthic assemblages from the NE Atlantic: (i) soft-bottom sediment communities in the Western Baltic (n = 70); (ii) hard-bottom communities from emergent rock on the Island of Helgoland, North Sea (n = 52), and (iii) hardbottom assemblages grown on artificial substrata in Madeira Island, Portugal (n = 56). For all community types, Jack2 showed a better performance in terms of bias and accuracy while MM exhibited the highest precision. However, in virtually all cases and across all sampling efforts, the estimators underestimated the regional species richness, regardless of habitat type, or selected estimator. Generally, the amount of underestimation decreased with sampling effort. A logarithmic function was applied to quantify the bias caused by low replication using the best estimator, Jack2. The bias was more obvious in the soft-bottom environment, followed by the natural hard-bottom and the artificial hard-bottom habitats, respectively. If a weaker estimator in terms of performance is chosen for this quantification, more replicates are required to obtain a reliable estimation of regional richness.

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“…So far, studies have only attempted to extrapolate species richness (e.g. , Palmer 1990;Baltanás 1992;Colwell and Coddington 1994).…”

Section: Discussionmentioning

confidence: 99%

Species-Area Curves, Diversity Indices, and Species Abundance Distributions: A Multifractal Analysis

Borda‐de‐Água¹,

Hubbell²,

McAllister³

2002

The American Naturalist

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Although fractals have been applied in ecology for some time, multifractals have, in contrast, received little attention. In this article, we apply multifractals to the species-area relationship and species abundance distributions. We highlight two results: first, species abundance distributions collected at different spatial scales may collapse into a single curve after appropriate renormalization, and second, the power-law form of the species-area relationship and the Shannon, Simpson, and Berger-Parker diversity indices belong to a family of equations relating the species number, species abundance, and area through the moments of the species abundance-probability density function. Explicit formulas for these diversity indices, as a function of area, are derived. Methods to obtain the multifractal spectra from a data set are discussed, and an example is shown with data on tree and shrub species collected in a 50-ha plot on Barro Colorado Island, Panama. Finally, we discuss the implications of the multifractal formalism to the relationship between species range and abundance and the relation between the shape of the species abundance distribution and area.

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On the Use of Some Methods for the Estimation of Species Richness

Cited by 118 publications

References 40 publications

Diversidade de Anuros (Amphibia) na reserva extrativista Lago do Cedro e seu entorno, Aruanã, Goiás

Diversidade de Anuros (Amphibia) na reserva extrativista Lago do Cedro e seu entorno, Aruanã, Goiás

Estimation of regional richness in marine benthic communities: quantifying the error

Species-Area Curves, Diversity Indices, and Species Abundance Distributions: A Multifractal Analysis

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