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Inverse Relatedness Matrix and Phylogenetic Covariance Matrix

inverseA.Rd

Henderson (1976) and Meuwissen and Luo (1992) algorithm for inverting relatedness matrices, and Hadfield and Nakagawa (2010) algorithm for inverting phylogenetic covariance matrices.

Usage

inverseA(pedigree=NULL, nodes="ALL", scale=TRUE, reduced=FALSE,
     tol = .Machine$double.eps^0.5)

Arguments

pedigree

ordered pedigree with 3 columns: id, dam and sire, or a phylo object.

nodes

"ALL" calculates the inverse for all individuals/nodes. For phylogenies "TIPS" calculates the inverse for the species tips only, and for pedigrees a vector of id's can be passed which inverts the relatedness matrix for that subset.

scale

logical: should a phylogeny (needs to be ultrametric) be scaled to unit length (distance from root to tip)?

reduced

logical: should childless nodes be dropped from the inverse and the pedigree/phylogeny representation be reduced?

tol

numeric: differences in branch length smaller than this are ignored when assessing whether a tree is ultrametric.

Value

Ainv

inverse as sparseMatrix

inbreeding

inbreeding coefficients/branch lengths

pedigree

pedigree/pedigree representation of phylogeny

References

Henderson, C.R. (1976) Biometrics 32 (1) 69:83

Quaas, R. L. and Pollak, E. J. (1980) Journal of Animal Science 51:1277-1287.

Meuwissen, T.H.E and Luo, Z. (1992) Genetic Selection Evolution 24 (4) 305:313

Hadfield, J.D. and Nakagawa, S. (2010) Journal of Evolutionary Biology 23 494-508

Author

Jarrod Hadfield j.hadfield@ed.ac.uk

Examples

data(bird.families)
Ainv<-inverseA(bird.families)