The equilibrium number of species is achieved when:
“Immigration equals extinction” for the equilibrium number of species is achieved when. This relationship follows from the ecological mechanism represented by the terms in the item, not merely from an association between their names. At equilibrium, species identities can continue to turn over even when richness is approximately stable. The model predicts a balance of rates, not an absence of colonization or extinction. The remaining alternatives—“Immigration exceeds extinction”, “Extinction exceeds immigration”, “Immigration stops”—refer to different states, processes, or scales and therefore
Ref: Biogeography, Lomolino et al., 5th Ed., Ch. 5-8