simpson {benthos}R Documentation

Simpson's Measure of Concentration

Description

The probability that two inidividuals selected at random (with replacement, Hurlbert, 1971, p.579) from a sample will belong to the same species. For an infinite sample Simpson's Index is given by (Peet, 1974):

λ = ∑_{i=1}^S p_i^2

For a finite sample by:

L = ∑_{i=1}^S \frac{n_i (n_i-1)}{N (N-1)}

where p[i] the proportion of the individuals in species i, n[i] the number of individuals in species i (relative abundance), and N the total number of individuals (total_abundance). The finite sample case has been implemented in function simpson (and simpson_).

Usage

simpson(.data = NULL, taxon, count)

simpson_(.data = NULL, taxon, count)

Arguments

.data

data in a data.frame, data_frame, data.table, database etc.

taxon

name of column in .data containing taxa

count

name of column in .data containing counts

Value

The probability that two inidividuals selected at random from a sample will belong to the same species.

Functions

References

Peet, R. K. 1974, The Measurement of Species Diversity. Annual Review of Ecology and Systematics 5:285-307.

See Also

hpie

Examples

     simpson(
         taxon = c("Euspira pulchella", "Nephtys cirrosa"),  
         count = c(6, 12)
     )
 

[Package benthos version 1.3-6 Index]