An olefin metathesis process involving contacting an unsaturated fatty
acid ester or unsaturated fatty acid, such as methyloleate or oleic acid,
with a lower olefin, preferably ethylene, in the presence of a metathesis
catalyst so as to prepare a first product olefin, preferably, a reduced
chain .alpha.-olefin, such as methyl-9-decenoate or 9-decenoic acid,
respectively. The metathesis catalyst contains ruthenium or osmium and a
chelating ligand, preferably, a chelating ligand containing a carbene
moiety and a second donor moiety of a Group 15 or 16 element Optionally,
the catalyst can be supported on a catalyst support, such as, a
cross-linked polymeric resin.