R: Apportionment of Quadratic Entropy

apqe {ade4} | R Documentation

## Apportionment of Quadratic Entropy

### Description

The hierarchical apportionment of quadratic entropy defined by Rao (1982).

### Usage

    apqe(samples, dis = NULL, structures)
    ## S3 method for class 'apqe'
    print(x, full = FALSE, ...)

### Arguments

`samples` | a data frame with haplotypes (or genotypes) as rows, populations as columns and abundance or presence-absence as entries
`dis` | an object of class `dist` computed from Euclidean distance. If `dis` is null, equidistances are used.
`structures` | a data frame that contains, in the jth row and the kth column, the name of the group of level k to which the jth population belongs
`x` | an object of class `apqe`
`full` | a logical value that indicates whether the original data ('distances', 'samples', 'structures') should be printed
`...` | `...` further arguments passed to or from other methods

### Value

Returns a list of class `apqe`

`call` | call
`results` | a data frame that contains the components of diversity.

### Author(s)

Sandrine Pavoine pavoine@mnhn.fr

### References

Rao, C.R. (1982) Diversity: its measurement, decomposition, apportionment and analysis. Sankhya: The Indian Journal of Statistics, A44, 1–22.

Pavoine S. and Dolédec S. (2005) The apportionment of quadratic entropy: a useful alternative for partitioning diversity in ecological data. Environmental and Ecological Statistics, 12, 125–138.

### Examples

    data(ecomor)
    ecomor.phylog <- taxo2phylog(ecomor$taxo)
    apqe(ecomor$habitat, ecomor.phylog$Wdist)

[Package ade4 version 1.7-15 Index]