We present a series of models that allow beneficial mutations to arise
as a consequence of small changes in mutations' selection coefficient
s. We do this by extending a strictly deleterious shift model into one
that incorporates intragenic regions such as introns and exons. The r
esults show that populations segregate and fur a substantial number of
beneficial mutations. In these simulations, the percentage is approxi
mately 50%, though the specific number is a function of the population
size and the underlying genic model. In general, it was quite easy fo
r populations to counter their deleterious load and rise in an unbound
ed increase in mean fitness. We discuss a possible application of the
model to molecular evolution.