preseqR.interpolate.rSAC {preseqR}

Interpolation

Description

Interpolating the number of species represented at least r times in a subsample given an initial sample

Usage

preseqR.interpolate.rSAC(n, ss, r=1)

Arguments

n

A two-column matrix. The first column is the frequency j = 1,2,\dots; and the second column is N_j, the number of species with each species represented exactly j times in the initial sample. The first column must be sorted in an ascending order.

ss

A positive double equal to the step size between subsamples.

r

A positive integer. Default is 1

Details

The expected number of species represented at least r times in the subsample is estimated based on an expended version of the formula by Heck Jr, KL. et al. (1975).

Value

A two-column matrix for the number of species represented at least r times in a random sample. The first column is the size of the random sample; the second column is the expected number of species represented at least r times in the sample.

NULL if failed.

Author(s)

Chao Deng

References

Heck Jr, K. L., van Belle, G., & Simberloff, D. (1975). Explicit calculation of the rarefaction diversity measurement and the determination of sufficient sample size. Ecology, 1459-1461.

Examples

## load library
library(preseqR)

## import data
data(Shakespeare)

## The expected number of distinct words represented twice or more in the
## subsample 
preseqR.interpolate.rSAC(n=Shakespeare, ss=1e5, r=2)