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The numbers of relative pairs calculated using the kinship coefficient were as follows: 1st degree: 384; 2nd degree: 349; 3rd degree: 495; 4th degree: 547; <5% related: 1466.
The inbreeding values of Holiday and Korona can be calculated from this table using the kinship coefficient with self = 0.5* (1 + inbreeding value).
Using the aforementioned location information, we estimated IBD for the microsatellite (N = 171) and mtDNA (N = 214) datasets using the kinship coefficient of Loiselle et al. [ 64], which is considered suitable for datasets containing rare alleles [ 65].
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To account for relatedness of cases we used the kinship coefficients matrix when computing the variance of the score statistic.
The additive model in GWAF was selected by use of the kinship coefficient matrix in the analysis to avoid false positives owing to unexpected familial correlation.
The inheritance-generating function can be used to calculate the kinship coefficient that measures the degree of relatedness between two individuals.
Historically, several summary statistics have been used, such as the kinship coefficient θ, however almost all of these statistics can be calculated from R = (k 0, k 1, k 2 ), where k m is the fraction of genome in which the two individuals share m alleles IBD.
Spatial genetic structure within each population was assessed using the multilocus estimate of the kinship coefficient (Fij) between individuals as described in Loiselle et al. (1995).
Second, a bivariate clustering analysis was performed with the Mclust (v4.2) R package using as the similarity measure the kinship coefficient phi calculated by vcftools (v0.1.12) (Manichaikul et al. 2010; Danecek et al. 2011; Fraley et al. 2012; R Core Team 2014).
Using the full genealogy we calculated the kinship coefficient (kc) of the living descendants of the original population: the average kinship was 0.000373 with 3.5% of the entire population presenting a kinship >0.
Hill (2013) derived the sampling variance of the estimate of genetic variation using REML for the general case of f families each of size n and expected relationship θ (twice the kinship coefficient).
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