Moran model with simultaneous strong and weak selections: convergence towards a <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"><mml:mi>Λ</mml:mi></mml:math>-Wright–Fisher SDE

We establish a connection between two population models by showing that one is the scaling limit of other, as grows large. In infinite model, individuals are split into subpopulations, carrying either selective advantageous allele, or disadvantageous one. The proportion disadvantaged in evolves according to Λ-Wright–Fisher stochastic differential equation (SDE) with selection, and genealogy described so-called Bolthausen–Sznitman coalescent. This has appeared Λ-lookdown model selection studied Bah Pardoux [1]. Schweinsberg [16] showed specific setting, due strong Moran converges By splitting adversarial subgroups adding weak mechanism, we show selections solution SDE