What is it about?
The paper provides the logic for Markov model (that is to say, with a recursive covariance matrix that is easy to invert in the same way as the animal model. The major point is that IBD (identity by descent) is used in segments rather than a discrete points, making the variance across evaluations much smaller, so that the evaluations are consistent from year to year. Markers on three generations of individuals are needed: grandparents, parents and offspring.
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Why is it important?
The PAR model has a computational cost equal to Henderson's animal model, and uses a proper covariance matrix.
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This page is a summary of: Causal inference for the covariance between breeding values under identity disequilibrium, Génétique Sélection Évolution, September 2022, Springer Science + Business Media,
DOI: 10.1186/s12711-022-00750-6.
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