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This is often justified on the grounds that there exists a "good fit" between the trait and its current function (Maynard Smith 1978) or that natural selection is ubiquitous in nature (Mayr 1983).
The hidden presence of closely related animals in the sample set can cause a complex population structure and an a priori unbalanced distribution of allele frequencies between cases and controls that is likely to inflate the rate of false positive associations between the trait and the markers, and could hide the true associations.
In this study we distinguish between the trait and the measurement of the trait.
We first examined the marginal association between the trait and local ancestries, one locus a time.
Lack of one-to-one correlation between the trait and either locus would confound such an effort.
Estimates of genetic correlations between the trait and DGV reflect the accuracies of DGV pooled across groups.
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Its magnitude depends on the genetic correlation between the traits and the effectiveness of the direct selection on the target trait.
We hypothesized that the correlations between the traits and environmental factors should increase with succession age due to the decreasing role of chance.
Because of the correlations between the traits and the subset analyses, the final number of tests is equivalent to about 5.75 independent genome-wide scans (61).
We then mapped each of the traits provided by Harrigan et al. (personal communications) to visualize interactions among the traits and between the traits and the evolutionary history (Fig. 1).
For the models considered in this article, the parameters θ include path coefficients between the traits and variances of the genetic markers.
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