A modified indirect method for computing inbreeding coefficients

The performance of existing methods for computing inbreeding coefficients-including tabular-based methods, Cholesky decomposition-based methods, and indirect methods-has been limited by either memory usage, pedigree depth, or average half-sib family size. In this note, we present a modified indirect method that efficiently identifies, computes, and stores the necessary elements for computing inbreeding coefficients. The algorithm was tested on pedigrees of 8.6 million Japanese Holsteins born fro