A new sampling formula for neutral biodiversity

By Rampal S. Etienne. 2005

255 citations recorded by the source corpus.

Subfields: Ecology, Ecology, Evolution, Behavior and Systematics, Nature and Landscape Conservation

View Paper: https://www.semanticscholar.org/paper/501ff650d9d9d4470bd06fd8f494e3da15f97f17

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In Ecology

In Ecology, Evolution, Behavior and Systematics

In Nature and Landscape Conservation

Citations in the corpus

The gambin model provides a superior fit to species abundance distributions with a single free parameter: evidence, implementation and interpretation (2014, methodology): “The zero-sum multinomial distribution (ZSM) predicted by neutral theory was also fit to the 24 samples using the analytical form and likelihood function derived from Etienne (2005).”
Statistical mechanics of ecological systems: Neutral theory and beyond (2015, background): “An exciting approach pioneered by Etienne and Olff, as well as by Alonso, considers a coalescent-type phenomenon where community members are traced back to their ancestors that once immigrated into the community [46, 49].”
Latitudinal phytoplankton distribution and the neutral theory of biodiversity (2013, background): “Of the 75 samples, eight had more than 50,000 individuals, and this resulted in prohibitively long calculations (akin to finding the zeros of a polynomial of degree equal to the number of individuals; see Etienne, 2005).”
Modes of speciation and the neutral theory of biodiversity (2007, methodology): “…Hubbell (2001) actually stated that u 2n̂1JM; this is the u for one of his models which has non-overlapping generations (Etienne and Alonso 2006), whereas the model cited mostly in the literature (Vallade and Houchmandzadeh 2003, Etienne 2005) has overlapping generations, as does the Moran model].”
Network isolation and local diversity in neutral metacommunities (2010, background): “However, as many of the neutral models explored in the literature are either spatially implicit (Hubbell 2001, Etienne 2005) or constructed with two dimensional landscapes (Durrett and Levin 1996, Bell 2000, Hubbell 2001, Chave and Leigh 2002, Condit et al. 2002, Rosindell and Cornell 2007), the…”
Predicting the effects of increasing temporal scale on species composition, diversity, and rank-abundance distributions (2010, background): “Standard predictions of the neutral model for small temporal scales (Hubbell 2001; Etienne and Olff 2004a; Etienne 2005, 2007; McGill et al. 2005) thus must be scaled up when they are to be applied to timeaveraged assemblages because the predictions of different metacommunity models converge at…”
Species abundance distributions: moving beyond single prediction theories to integration within an ecological framework. (2007, background): “For example, neutral models (Caswell 1976; Bell 2000; Hubbell 2001) are stochastic population dynamic models but also branching process models (Etienne & Olff 2004b), and the lognormal can be the limit of population dynamics (Engen & Lande 1996b) or niche partitioning (Bulmer 1974; Sugihara 1980).”
A neutral‐niche theory of nestedness in mutualistic networks (2008, methodology): “For these real communities maximum log likelihood (ML) estimates of parameters derived from the neutral theory were also calculated separately for frugivores and plants (Table 1) using improved likelihood method (Etienne 2005).”
Neutral theory in macroecology and population genetics (2006, background): “Recent advances in the field have led to several analytical forms of species abundance models (Vallade and Houchmandzadeh 2003, Volkov et al. 2003, Alonso and McKane 2004, Etienne and Olff 2004, and particularly Etienne 2005), whose sampling formula explicitly incorporates immigration rate.”
The Ubiquitous Ewens Sampling Formula (2016, background): “In general biology, Ewens’s paper marks a seminal contribution to Hubbell’s neutral theory of biodiversity [50], and the foundations it laid have been refined by novel sampling formulas [32, 34] and statistical tests for neutrality [33] in ecology.”
The impact of neutrality, niche differentiation and species input on diversity and abundance distributions (2007, background): “and it turns out that a (N 1)n/(1 n) (Etienne 2005), where N community size and n speciation rate, which is conveniently approximated by a Nn when n 1 and N 1. The value given by Hubbell (2001) is a 2Nn, with the factor 2 resulting if multiple speciation events are allowed to occur within”