Author: Chao Deng, Timothy Daley and Andrew D. Smith
Description: Estimating species accumulation curves by rational function approximations to the non-parametric empirical Bayes estimator and by the zero-truncated Negative Binomial distribution.

Title: Predicting Species Accumulation Curves

Description: Estimating the number of species represented r or more times in a random sample.

Title: Predicting the Number of Species in a Random Sample
Description: Estimating the number of species represented at least r times in a random sample.

Description: The relation between the number of species and the number of individuals in a random sample is a classic problem back to Fisher (1943) <doi:10.2307/1411>. We generalize this problem to estimate the number of species represented at least r times in a random sample. In particular when r=1, it becomes the classic problem. We use a mixture of Poisson processes to model sampling procedures and apply a nonparametric empirical Bayes approach to obtain an estimator. For more information on preseqR, see Deng C, Daley T and Smith AD (2015) <doi:10.1007/s40484-015-0049-7> and Deng C and Smith AD (2016) <arXiv:1607.02804v2>.

Description: The relation between the number of species and the number of individuals in a random sample is a classic problem back to Fisher (1943) <doi:10.2307/1411>. We generalize this problem to estimate the number of species represented at least r times in a random sample. In particular when r=1, it becomes the classic problem. We use a mixture of Poisson processes to model sampling procedures and apply a nonparametric empirical Bayes approach to obtain an estimator. For more information on 'preseqR', see Deng C, Daley T and Smith AD (2015) <doi:10.1007/s40484-015-0049-7> and Deng C and Smith AD (2016) <arXiv:1607.02804v2>.

Description: Originally as an R version of Preseq <doi:10.1038/nmeth.2375>, the package has extended its functionality to predict the r-species accumulation curve (r-SAC), which is the number of species represented at least r times as a function of the sampling effort. When r = 1, the curve is known as the species accumulation curve, or the library complexity curve in high-throughput genomic sequencing. The package includes both parametric and nonparametric methods, as described by Deng C, et al. (2018) <arXiv:1607.02804v3>.