This work presents a population genetic model of evolution, which includes haploid selection, mutation, recombination, and drift. The mutation-selection equilibrium can be expressed exactly in closed form for arbitrary fitness functions without resorting to diffusion approximations. Tractability is achieved by generating new offspring using n-parent rather than 2-parent recombination. While this enforces linkage equilibrium among offspring, it allows analysis of the whole population under linkage disequilibrium. We derive a general and exact relationship between fitness fluctuations and response to selection. Our assumptions allow analytical calculation of the stationary distribution of the model for a variety of non-trivial fitness functions. These results allow us to speak to genetic architecture, i.e., what stationary distributions result from different fitness functions. This paper presents methods for exactly deriving stationary states for finite and infinite populations. This method can be applied to many fitness functions, and we give exact calculations for four of these. These results allow us to investigate metastability, tradeoffs between fitness functions, and even consider error-correcting codes.

这项工作提出了进化的群体遗传模型，其中包括单倍体选择、突变、重组和漂移。对于任意适应度函数，突变选择平衡可以精确地以封闭形式表示，而无需借助扩散近似。易处理性是通过使用 n 亲本重组而不是 2 亲本重组产生新的后代来实现的。虽然这强制了后代之间的连锁平衡，但它允许在连锁不平衡下分析整个群体。我们得出了适应度波动与选择反应之间的一般而精确的关系。我们的假设允许对各种非平凡适应度函数的模型的平稳分布进行分析计算。这些结果使我们能够谈论遗传结构，即 不同的适应度函数会产生什么平稳分布。本文提出了精确导出有限和无限总体稳态的方法。这种方法可以应用于许多适应度函数，我们给出了其中四个的精确计算。这些结果使我们能够研究亚稳定性、适应度函数之间的权衡，甚至考虑纠错码。