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Title: Properties and unbiased estimation of F - and D -statistics in samples containing related and inbred individuals
Abstract

The Patterson F- and D-statistics are commonly used measures for quantifying population relationships and for testing hypotheses about demographic history. These statistics make use of allele frequency information across populations to infer different aspects of population history, such as population structure and introgression events. Inclusion of related or inbred individuals can bias such statistics, which may often lead to the filtering of such individuals. Here, we derive statistical properties of the F- and D-statistics, including their biases due to the inclusion of related or inbred individuals, their variances, and their corresponding mean squared errors. Moreover, for those statistics that are biased, we develop unbiased estimators and evaluate the variances of these new quantities. Comparisons of the new unbiased statistics to the originals demonstrates that our newly derived statistics often have lower error across a wide population parameter space. Furthermore, we apply these unbiased estimators using several global human populations with the inclusion of related individuals to highlight their application on an empirical dataset. Finally, we implement these unbiased estimators in open-source software package funbiased for easy application by the scientific community.

 
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Award ID(s):
1949268 2001063 1925825
NSF-PAR ID:
10361215
Author(s) / Creator(s):
 ;  ;
Publisher / Repository:
Oxford University Press
Date Published:
Journal Name:
Genetics
Volume:
220
Issue:
1
ISSN:
1943-2631
Format(s):
Medium: X
Sponsoring Org:
National Science Foundation
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