Processes for olefin metathesis, for example for the production of propylene, utilize a catalyst comprising a solid support and a tungsten hydride bonded to alumina present in the support. Conversion, selectivity, and/or catalyst stability advantages may be realized when a first olefin reactant (e.g., ethylene) is present in the hydrocarbon feedstock at a stoichiometric deficit relative to a second, higher carbon number olefin reactant (e.g., butylene).