A nice paper from Sripad Motiram and Ashish Singh of IGIDR.
Economists call this issue as Intergenerational Occupational Mobility and is really important to understand the inequality issue. Hopefully over a period of time we can expand this research question to Do most children (both sons and daughters) take up their parents’ (mother and father) and occupations? It is too gender-specific issue as of now.
The broad idea is as an economy develops, people from lower skill/earnings group should be moving to higher skill earning group. This is especially true of children of low earning strata. That in turn leads to development and better lives.