  The Moran discrete process and the Wright-Fisher modelare the most popular
models in population genetics. It is common tounderstand the dynamics of these
models to use an approximating diffusionprocess, called Wright-Fisher
diffusion. Here, we give a quantitativelarge population limit of the error
committed by using the approximationdiffusion in the presence of weak selection
and weak immigrationin one dimension. The approach is robust enough to consider
the casewhere selection and immigration are Markovian processes, with
limitsjump or diffusion processes.
