# Quantitative Kulczynski distance matrix

### Description

Computes quantitative Kulczynski distances between the columns of an abundance matrix.

### Usage

1 | ```
qkulczynski(regmat, log.distance=FALSE)
``` |

### Arguments

`regmat` |
(non-negative) abundance matrix. Columns are species, rows are regions. |

`log.distance` |
logical. If |

### Details

The quantitative Kulczynski distance between two species is 1-(mean of (mean of over regions minimum abundance of both species)/(sum of abundances of species 1) and (mean of over regions minimum abundance of both species)/(sum of abundances of species 2)). If the abundance matrix is a 0-1-matrix, this gives the standard Kulczynski distance.

### Value

A symmetrical matrix of quantitative Kulczynski distances.

### Author(s)

Christian Hennig chrish@stats.ucl.ac.uk http://www.homepages.ucl.ac.uk/~ucakche

### References

D. P. Faith, P. R. Minchin and L. Belbin (1987) Compositional
dissimilarity as a robust measure of ecological distance.
*Vegetation* 69, 57-68.

### See Also

`kulczynski`

### Examples

1 2 3 | ```
options(digits=4)
data(kykladspecreg)
qkulczynski(t(kykladspecreg))
``` |