The Moran discrete process and the Wright–Fisher model are the most popular models in population genetics. The Wright–Fisher diffusion is commonly used as an approximation in order to understand the dynamics of population genetics models. Here, we give a quantitative large-population limit of the error occurring by using the approximating diffusion in the presence of weak selection and weak immigration in one dimension. The approach is robust enough to consider the case where selection and immigration are Markovian processes, whose large-population limit is either a finite state jump process, or a diffusion process.

中文翻译：

---

Wright-Fisher扩散对离散Moran过程的定量逼近。

Moran离散过程和Wright-Fisher模型是种群遗传学中​​最受欢迎的模型。Wright-Fisher扩散通常用作近似值，以了解种群遗传模型的动态。在这里，我们给出了在一维弱选择和弱移民的情况下，通过使用近似扩散给出的误差的定量大种群极限。该方法具有足够的鲁棒性，可以考虑选择和迁移是马尔可夫过程的情况，该过程的人口上限是有限状态跳跃过程或扩散过程。