We appraise neoclassical theory of growth with natural capital for the
estimation of indicators for sustainability. Relationships between fo
ur theoretically distinct measures are clarified: Hicksian ''change in
capital stock value''; the Hartwick ''net savings'' (which excludes c
apital gains); ''sustainable national income'' (SNI); and ''environmen
tally-adjusted net national product'' (gNNP). An overlapping generatio
ns (OLG) general equilibrium model with depletable natural capital dem
onstrates the significance of model parameters determining technical f
easibility and intertemporal distribution of consumption. Irremediable
uncertainties in model specification and empirical measurement mean t
hat the neoclassical theory is not robust for defining or estimating i
ndicators for sustainability.