fisher.mincount {preseqR}R Documentation

Estimating the expected number of species represented r or more times

Description

The function estimates the expected number of species represented at least r times in a random sample based on the initial sample using a parametric approach by Fisher, R. A., et al. (1943).

Usage

fisher.mincount(n, r=1)

Arguments

n

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

r

A vector of positive integers. Default is 1.

Value

The constructed estimator for the number of species represneted at least r times in a sample. The input of the estimator is a vector of sampling efforts t, i.e. the relative sample sizes comparing with the initial sample. For example, t = 2 means the sample is twice the size of the initial sample.

Author(s)

Chao Deng

References

Fisher, R., Corbet, A., & Williams, C. (1943). The Relation Between the Number of Species and the Number of Individuals in a Random Sample of an Animal Population. Journal of Animal Ecology, 12(1), 42-58. doi:10.2307/1411

Examples

## load library
library(preseqR)

## import data
data(WillButterfly)

## construct the estimator for the number of species
## represented at least once, twice or three times in a sample
fisher.estimator <- fisher.mincount(WillButterfly, r=1:3)

## The number of species represented at least once, twice or three times
## when the sample size is 10 times of the initial sample
fisher.estimator(10)

[Package preseqR version 3.1.2 Index]