Recombinant inbred lines (RIL) derived from multiple inbred strains can serve as a powerful resource for the genetic dissection of complex traits. The use of such multiple-strain RIL requires a detailed knowledge of the haplotype structure in such lines. Broman (2005) derived the two- and three-point haplotype probabilities for 2n-way RIL; the former required hefty computation to infer the symbolic results, and the latter were strictly numerical. We describe a simpler approach for the calculation of these probabilities, which allowed us to derive the symbolic form of the three-point haplotype probabilities. We also extend the two-point results for the case of additional generations of intermating, including the case of 2n-way intermated recombinant inbred populations (IRIP).
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机译：来自多个自交系的重组自交系（RIL）可以作为复杂性状遗传解剖的有力资源。这种多菌株RIL的使用需要对此类细胞系中单倍型结构的详细了解。 Broman（2005）推导了2 n -way RIL的两点和三点单元型概率。前者需要大量计算才能推断出符号结果，而后者则严格是数值形式。我们描述了一种更简单的方法来计算这些概率，这使我们能够导出三点单倍型概率的符号形式。对于另外几代的交配，包括2 n 方式交配的重组近交种群（IRIP），我们也扩展了两点结果。
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