weighted_kulczynski_second {abdiv}

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.