The gap in population in the West will be filled by (Islamic) immigration.
Interestingly, the really rich Islamic countries in the Middle East, Malaysia and even Indonesia is experiencing one thing that has kind of surprised Muslim cultural scholars: the population growth is slowing down. Indeed, the more affluent the population is, the less likely the population will have an explosion of child bearing.
By 2050, Asia will add a 5th billion and Africa a 2nd billion. By 2100 Africa will add a 3rd and 4th billion, for an 11 billion total.
Ray is correct about the falling fertility rates.
CIA Factbook Country Comparison of Fertility Rates in descending order