The genome-wide dynamics of purging during selfing in maize.

Self-fertilization (also known as selfing) is an important reproductive strategy in plants and a widely applied tool for plant genetics and plant breeding. Selfing can lead to inbreeding depression by uncovering recessive deleterious variants, unless these variants are purged by selection. Here we investigated the dynamics of purging in a set of eleven maize lines that were selfed for six generations.

Difference equations with the Allee effect and the periodic Sigmoid Beverton-Holt equation revisited.

In this paper, we investigate the long-term behaviour of solutions of the periodic Sigmoid Beverton-Holt equation [Formula: see text] where the a ( n ) and δ( n ) are p-periodic positive sequences. Under certain conditions, there are shown to exist an asymptotically stable p-periodic state and a p-periodic Allee state with the property that populations smaller than the Allee state are driven to extinction while populations greater than the Allee state approach the stable state, thus accounting for the long-term behaviour of all initial states. This appears to be the first study of the equation with variable δ.