The total amount of melt produced in Mars during its evolution is estimated
by means of a parameterized, one-dimensional, analytic mantle convection m
odel that assumes a stagnant lid and whole mantle convection. The fertility
of the mantle-defined as the potential to create basalt-and its variation
with time are taken into account. The model is composed of core, mantle, an
d lithosphere, with two boundary layers separating them. The contributions
to volcanism by pressure release melting (PRM), and by plumes from the core
-mantle boundary layer, are compared and discussed. We show that such model
s tend to produce considerable melting during the early evolution of the pl
anet, and that the amount of melting depends strongly on the abundances of
radioactive elements. Although the model's assumptions may not be valid for
the early evolution of the planet, the model is relevant to the later hist
ory, which is insensitive to initial conditions. We find that PRM volcanism
should have ceased between 1 and 2.5 Byr ago and any recent volcanic activ
ity must have originated in plumes. (C) 2001 Academic Press.