Bruce S Weir

The paper reviews methods for estimating inbreeding, relatedness, and population structure and proposes five recommendations for improving allele-sharing statistics.

This paper proposes a constrained least squares method to estimate Jacquard's genetic identity coefficients and related parameters, showing computational efficiency comparable to maximum likelihood methods.

This study compares methods for quantifying inbreeding depression in structured populations using simulated and empirical data, finding that weighted gamete correlation and specific GRM matrices improve estimation.

The paper demonstrates the transitivity of the Hardy-Weinberg law for multi-allelic polymorphisms and shows its application in genetic data analysis and testing for equilibrium.

The paper examines genetic diversity at HLA loci in the MHC region, showing that while SNPs show low FST values, haplotype frequencies vary geographically, impacting bone-marrow transplantation.

The paper extends exact tests for Hardy-Weinberg equilibrium to multi-allelic variants, accounting for gender differences in X-chromosomal and autosomal data.

The paper redefines population structure and relatedness by introducing parameters based on differences in identity by descent probabilities, providing new estimates sensitive to rare variants and suitable for association studies.