Short-term grazing changed temporal productivity stability of alpine grassland on Qinghai-Tibetan Plateau via response species richness and functional groups asynchrony

•Grazing reduced the temporal stability of ANPP.•Grazing increased the stability of productivity of functional group of forbs.•The response species to continuous grazing are mainly grasses.•The response species to rotational grazing are forbs.•Functional groups asynchrony stabilized ANPP under grazing in the Qinghai-Tibetan Plateau.