Migration and human capital in an endogenous fertility model

What is the impact of high-skilled migration on fertility and human capital in
migrant's origin countries? This question is analyzed within an overlapping
generations model where parents choose to finance higher education for a
certain number of their children. It follows that families are composed of
high-and low-skilled children who may both emigrate with a certain probability
when they reach adulthood. It is found that a brain drain leads to a change in
children's skill composition, with parents choosing to provide higher education
to a larger number of their children. A calibration of the model suggests that,
following a brain drain, the additional children benefiting from higher education
might in the long run compensate for the loss of high-educated workers and lead
to a brain gain.