A backstop technology provides resources at a constant marginal cost f
or an indefinitely long time. Heal's formal model of a backstop techno
logy supposed that output is produced by capital and resources. He der
ived the result that consumption either grows or decays exponentially,
or is constant: the outcome depends on a ''knife-edge'' constellation
of exogenous parameters. The result is puzzling because Doomsday coul
d arrive despite the availability of a backstop technology. This paper
shows that if labor is a productive factor, then a steady-state equil
ibrium is reached just as in standard optimal growth models. (C) 1996
Academic Press, Inc.