An indirect approach to the extensive calculation of relationship coefficients

<p>Abstract</p> <p>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 ances...

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Bibliographic Details
Main Author: Colleau Jean-Jacques
Format: Article
Language:deu
Published: BMC 2002-07-01
Series:Genetics Selection Evolution
Subjects:
Online Access:http://www.gsejournal.org/content/34/4/409
Description
Summary:<p>Abstract</p> <p>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.</p>
ISSN:0999-193X
1297-9686