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We present our emerging research on evolving open source software ecosystems, collections of software projects maintained by the same community. Within such an ecosystem we aim to understand how contributors join, leave and move across different projects over time. In particular, we study where new contributors to a given subsystem come from, and where people go to if they stop contributing in this subsystem. We define novel metrics to measure these aspects of projects in the ecosystem. We are carrying out an empirical study on the GNOME ecosystem to study these aspects.