Natural Selection is a process in which better-adapted organism’s or traits leads to better adaptation and survival while less adapted organisms get eliminated at successive stages. Selected organisms reproduce and produce stable population to sustain the changes. E.g peppered moth of England grew in number because of the natural selection of the peppered moth.
Branching descent is the process of development of a new species from a single common descendant. New species developed became geographically adapted to a new environment. This resulted into the the reproductive isolation and finaly to the development of a new species.