An indirect approach to the extensive calculation of relationship coefficients
© INRA, EDP Sciences 2002
Received: 12 July 2001
Accepted: 25 January 2002
Published: 15 July 2002
A method was described for calculating population statistics on relationship coefficients without using corresponding individual data. It relied on the structure of the inverse of the numerator relationship matrix between individuals under investigation and ancestors. Computation times were observed on simulated populations and were compared to those incurred with a conventional direct approach. The indirect approach turned out to be very efficient for multiplying the relationship matrix corresponding to planned matings (full design) by any vector. Efficiency was generally still good or very good for calculating statistics on these simulated populations. An extreme implementation of the method is the calculation of inbreeding coefficients themselves. Relative performances of the indirect method were good except when many full-sibs during many generations existed in the population.
Keywordsrelationship coefficient inbreeding coefficient pedigree
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