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LINKAGE AND SELECTION: NEW EQUILIBRIUM PROPERTIES OF THE TWO-LOCUS SYMMETRIC VIABILITY MODEL

机译:链接和选择:两点对称可行性模型的新平衡性质

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摘要

In the two-locus symmetric viability model with recombination, conditions for the existence and stability of a new class of polymorphic equilibria are given. These „unsymmetric” equilibria, which exist for relatively loose linkage, can be explicitly obtained, in contrast to the previously known symmetric equilibria which are generally given by the solutions of a cubic equation.For sufficiently tight linkage, there is always at least one stable symmetric equilibrium. Seven is the precise maximum for the number of interior equilibria. The qualitative consequences of these results are briefly examined. In particular it is pointed out that since for some linkage values no stable polymorphic equilibria exist, there is no „overdominance theorem” comparable to the single-locus case.
机译:在具有重组的两基因座对称生存力模型中,给出了新一类多态平衡的存在性和稳定性的条件。与通常由三次方程的解给出的先前已知的对称平衡相比,可以相对明确地获得存在于相对宽松的连接中的这些“非对称”平衡。对于足够紧密的连接,始终至少有一个稳定的对称平衡。七是内部平衡数的精确最大值。简要检查了这些结果的定性结果。特别要指出的是,由于对于某些连锁值而言,不存在稳定的多态均衡,因此不存在与单基因座情况相当的“优势定理”。

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