scholarly journals Power laws from the bird species abundance distribution

2021 ◽  
Author(s):  
Sergio Da Silva ◽  
Raul Matsushita
Keyword(s):  
Extinction Risk ◽  
Species Abundance ◽  
Bird Species ◽  
Power Laws ◽  
Large Species ◽  
Species Abundance Distribution ◽  
Power Law Distribution ◽  
Abundance Distribution ◽  
The Hierarchical Structure ◽  
Log Normal

A recent study found that bird species with fewer individuals are abundant, but large species are rare. We show that this new data strongly suggests a power-law distribution rather than the most accepted log-normal. Moreover, we discuss extinction risk across the bird phylogeny and future conservation efforts by profiting from the hierarchical structure revealed by the new data.

scholarly journals An Algebraic Derivation of Chao’s Estimator of the Number of Species in a Community Highlights the Condition Allowing Chao to Deliver Centered Estimates

2014 ◽  
Vol 2014 ◽  
pp. 1-6
Author(s):  
Jean Béguinot
Keyword(s):  
Species Richness ◽  
Lower Bound ◽  
Species Abundance ◽  
Nonparametric Estimator ◽  
Species Abundance Distribution ◽  
Abundance Distribution ◽  
Limited Size ◽  
Total Species Richness ◽  
Log Normal ◽  
Total Species

Anne Chao proposed a very popular, nonparametric estimator of the species richness of a community, on the basis of a limited size sampling of this community. This expression was originally derived on a statistical basis as a lower-bound estimate of the number of missing species in the sample and provides accordingly a minimal threshold for the estimation of the total species richness of the community. Hereafter, we propose an alternative, algebraic derivation of Chao’s estimator, demonstrating thereby that Chao’s formulation may also provide centered estimates (and not only a lower bound threshold), provided that the sampled communities satisfy a specific type of SAD (species abundance distribution). This particular SAD corresponds to the case when the number of unrecorded species in the sample tends to decrease exponentially with increasing sampling size. It turns out that the shape of this “ideal” SAD often conforms approximately to the usually recorded types in nature, such as “log-normal” or “broken-stick.”. Accordingly, this may explain why Chao’s formulation is generally recognized as a particularly satisfying nonparametric estimator.

Combining counts and incidence data: an efficient approach for estimating the log-normal species abundance distribution and diversity indices

Oecologia ◽  
2012 ◽  
Vol 170 (2) ◽  
pp. 477-488 ◽  
Author(s):  
Edwige Bellier ◽  
Vidar Grøtan ◽  
Steinar Engen ◽  
Ann Kristin Schartau ◽  
Ola H. Diserud ◽  
...  
Keyword(s):  
Species Abundance ◽  
Diversity Indices ◽  
Species Abundance Distribution ◽  
Abundance Distribution ◽  
Efficient Approach ◽  
Incidence Data ◽  
Log Normal

Using a Macroecological Approach to Study Geographic Range, Abundance and Body Size in the Fossil Record

2010 ◽  
Vol 16 ◽  
pp. 117-141 ◽  
Author(s):  
S. Kathleen Lyons ◽  
Felisa A. Smith
Keyword(s):  
Body Size ◽  
Fossil Record ◽  
Species Abundance ◽  
Geographic Range ◽  
Species Abundance Distribution ◽  
Abundance Distribution ◽  
Geographic Ranges ◽  
Spatial And Temporal Scales ◽  
Geographic Range Size ◽  
Fossil Data

Macroecology is a rapidly growing sub-discipline within ecology that is concerned with characterizing statistical patterns of species' abundance, distribution and diversity at spatial and temporal scales typically ignored by traditional ecology. Both macroecology and paleoecology are concerned with answering similar questions (e.g., understanding the factors that influence geographic ranges, or the way that species assemble into communities). As such, macroecological methods easily lend themselves to many paleoecological questions. Moreover, it is possible to estimate the variables of interest to macroecologists (e.g., body size, geographic range size, abundance, diversity) using fossil data. Here we describe the measurement and estimation of the variables used in macroecological studies and potential biases introduced by using fossil data. Next we describe the methods used to analyze macroecological patterns and briefly discuss the current understanding of these patterns. This chapter is by no means an exhaustive review of macroecology and its methods. Instead, it is an introduction to macroecology that we hope will spur innovation in the application of macroecology to the study of the fossil record.

Species abundance distribution models of Toona ciliata communities in Hubei Province, China

2019 ◽  
Vol 32 (1) ◽  
pp. 103-117
Author(s):  
Yang Wang ◽  
Huoming Zhou ◽  
Jingyong Cai ◽  
Congwen Song ◽  
Linzhao Shi
Keyword(s):  
Species Abundance ◽  
Hubei Province ◽  
Species Abundance Distribution ◽  
Abundance Distribution ◽  
Distribution Models ◽  
Toona Ciliata
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