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arXiv 0901.2231stat.MEq-bio.PEstat.CO
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群体遗传学中的贝叶斯计算与模型选择

Bayesian Computation and Model Selection in Population Genetics

Christoph Leuenberger Daniel Wegmann Laurent Excoffier

摘要:

直到最近,贝叶斯推断在群体遗传学中的使用仅限于少数情况,因为对于许多现实的群体遗传模型,似然函数不能解析计算。这种情况随着无可能性推理算法的出现而改变,这种算法通常被归入近似贝叶斯计算(ABC)一词。一个关键的创新是使用后采样回归调整,允许更大的公差值,并因此将计算时间转移到现实的数量级(参见Beaumont等人,2002年)。在这里,我们提出了一个一般线性模型(GLM)的回归调整的重新制定。这允许整合到贝叶斯统计的框架和使用其方法,包括通过贝叶斯因子的模型选择。然后,我们将所提出的方法应用于西部黑猩猩之间的人口细分的问题。

英文摘要:

Until recently, the use of Bayesian inference in population genetics was limited to a few cases because for many realistic population genetic models the likelihood function cannot be calculated analytically . The situation changed with the advent of likelihood-free inference algorithms, often subsumed under the term Approximate Bayesian Computation (ABC). A key innovation was the use of a post-sampling regression adjustment, allowing larger tolerance values and as such shifting computation time to realistic orders of magnitude (see Beaumont et al., 2002). Here we propose a reformulation of the regression adjustment in terms of a General Linear Model (GLM). This allows the integration into the framework of Bayesian statistics and the use of its methods, including model selection via Bayes factors. We then apply the proposed methodology to the question of population subdivision among western chimpanzees Pan troglodytes verus.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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