weighted_kulczynski_second {abdiv} | R Documentation |

## Weighted Kulczynski distance

### Description

The quantitative version of the second Kulczynski index

### Usage

```
weighted_kulczynski_second(x, y)
```

### Arguments

`x` , `y` |
Numeric vectors |

### Details

The quantitative version of the second Kulczynski index is defined as

```
d(x, y) = 1 - \frac{1}{2} \left (
\frac{\sum_i \min{(x_i, y_i)}}{\sum_i x_i} +
\frac{\sum_i \min{(x_i, y_i)}}{\sum_i y_i}
\right ).
```

Relation of `weighted_kulczynski_second()`

to other definitions:

Equivalent to

`vegdist()`

with`method = "kulczynski"`

.Equivalent to

`structkulczynski`

in Mothur.Equivalent to

`1 - S_{18}`

in Legendre & Legendre.

### Value

The weighted Kulczynski distance between `x`

and `y`

. The
distance is undefined if the sum of `x`

or the sum of `y`

is
zero, in which case we return `NaN`

.

[Package

*abdiv*version 0.2.0 Index]