# Genetic correlation

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Genetic correlation

Genetic correlation refers to the proportion of variance that two traits share due to genetic causes. Outside the theoretical boundary case of traits with zero heritability, the genetic correlation of traits is independent of their heritability: i.e., two traits can have a very high (or low) genetic correlation even when the heritability of each is low and vice versa.

The genetic correlation, then, tells us how much of the genetic influence on two traits is common to both: if it is above zero, this suggests that the two traits are influenced by common genes. This can be an important constraint on conceptualizations of the two traits: traits which seem different phenotypically but which share a common genetic basis require an explanation for how these genes can influence both traits.

Estimates of a genetic correlation obviously require a genetically informative sample, such as a twin study.

Given a genetic covariance matrix, the genetic correlation is computed by standardizing this, i.e., by converting the covariance matrix to a correlation matrix. For example, if two traits, say height and weight have the following additive genetic variance-covariance matrix:

 Height Weight Height 36 36 Weight 36 117
Then the genetic correlation is .55, as seen is the standardized matrix below:
 Height Weight Height 1 .5547 Weight .5547 1

In practice, Structural Equation Modeling applications like Mx are used to calculate both the genetic covariance matrix and its standardized form. In R, cov2cor() will standardize the matrix.

After the variance components are standardized, for instance in a standard ACE model, the metric for computing the genetic covariance is lost (because of the standardizing process). So you cannot readily estimate the genetic correlation of two traits from such published models.

ee also

*Quantitative genetics

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