The gamma Doradus stars are a newly discovered class of gravity-mode pulsat
ors that lie just at or beyond the red edge of the delta Scuti instability
strip. We present the results of calculations that the predict pulsation in
stability of high-order g-modes with periods between 0.4 and 3 days, as obs
erved in these stars. The pulsations are driven by the modulation of the ra
diative flux by convection at the base of a deep envelope convection zone.
Pulsation instability is predicted only for models with temperatures at the
convection zone base between similar to 200,000 and similar to 480,000 K.
The estimated shear dissipation that is due to turbulent viscosity within t
he convection zone or in an overshoot region below the convection zone can
be comparable to or even exceed the predicted driving and is likely to redu
ce the number of unstable modes or possibly quench the instability. Additio
nal refinements in the pulsation modeling are required to determine the out
come. At least one gamma Doradus star has been observed that also pulsates
in delta Scuti-type p-modes, and others have been identified as chemically
peculiar. Since our calculated driving region is relatively deep, gamma Dor
adus pulsations are not necessarily incompatible with surface abundance pec
uliarities or with delta Scuti p-mode pulsations driven by the H and He ion
ization K-effect. Such stars will provide useful observational constraints
on the proposed gamma Doradus pulsation mechanism.