It is widely documented that women have a much higher tendency to drop out of the labor force than men and that they quit jobs more often. It is obvious that fertility and marriage have a major impact here. And nobody disputes that. But apparently nobody looked into more details by differentiating genders for job market transitions.
Boris Hirsch and Claus Schnabel do it for Germany using excellent panel data that included many job and workplace characteristics along with some details about the workers. Hence, they can factor in a good chunk of heterogeneity. The interesting results is that once you control for the wage, women are less likely to quit their job for another one or non-employment. As women take jobs that pay less, a composition effect is hiding the loyalty of women to their employer.