# corBrownian

From ape v5.4
0th

Percentile

##### Brownian Correlation Structure

Expected covariance under a Brownian model (Felsenstein 1985, Martins and Hansen 1997)

$$V_{ij} = \gamma \times t_a$$

where $t_a$ is the distance on the phylogeny between the root and the most recent common ancestor of taxa $i$ and $j$ and $\gamma$ is a constant.

Keywords
models
##### Usage
corBrownian(value=1, phy, form=~1)
# S3 method for corBrownian
coef(object, unconstrained = TRUE, ...)
# S3 method for corBrownian
corMatrix(object, covariate = getCovariate(object), corr = TRUE, ...)
##### Arguments
value

The $\gamma$ parameter (default to 1)

phy

An object of class phylo representing the phylogeny (with branch lengths) to consider

object

An (initialized) object of class corBrownian

corr

a logical value. If 'TRUE' the function returns the correlation matrix, otherwise it returns the variance/covariance matrix.

form

a one sided formula of the form ~ t, or ~ t | g, specifying the taxa covariate t and, optionally, a grouping factor g. A covariate for this correlation structure must be character valued, with entries matching the tip labels in the phylogenetic tree. When a grouping factor is present in form, the correlation structure is assumed to apply only to observations within the same grouping level; observations with different grouping levels are assumed to be uncorrelated. Defaults to ~ 1, which corresponds to using the order of the observations in the data as a covariate, and no groups.

covariate

an optional covariate vector (matrix), or list of covariate vectors (matrices), at which values the correlation matrix, or list of correlation matrices, are to be evaluated. Defaults to getCovariate(object).

unconstrained

a logical value. If 'TRUE' the coefficients are returned in unconstrained form (the same used in the optimization algorithm). If 'FALSE' the coefficients are returned in "natural", possibly constrained, form. Defaults to 'TRUE'

some methods for these generics require additional arguments. None are used in these methods.

##### Value

An object of class corBrownian, or the coefficient from an object of this class (actually sends numeric(0)), or the correlation matrix of an initialized object of this class.

##### References

Felsenstein, J. (1985) Phylogenies and the comparative method. American Naturalist, 125, 1--15.

Martins, E. P. and Hansen, T. F. (1997) Phylogenies and the comparative method: a general approach to incorporating phylogenetic information into the analysis of interspecific data. American Naturalist, 149, 646--667.

corClasses

##### Aliases
• corBrownian
• coef.corBrownian
• corMatrix.corBrownian
Documentation reproduced from package ape, version 5.4, License: GPL-2 | GPL-3

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