clr_basis function

Centered log-ratio basis

Compute the transformation matrix to express a composition using the linearly dependant centered log-ratio coordinates.

clr_basis(dim)

Arguments

• dim: number of parts

Returns

matrix

Examples

(B <- clr_basis(5))
# CLR coordinates are linearly dependant coordinates.
(clr_coordinates <- coordinates(c(1,2,3,4,5), B))
# The sum of all coordinates equal to zero
sum(clr_coordinates) < 1e-15

References

Aitchison, J. (1986) The Statistical Analysis of Compositional Data. Monographs on Statistics and Applied Probability. Chapman & Hall Ltd., London (UK). 416p.