We investigate the impact of incorporating natural capital dynamics on optimal allocation in an economy subject to uncertainty. We present new estimates on climate damages to natural capital and elasticities of substitution between natural capital and other production inputs. Using these estimates, we examine how shadow prices vary across model specifications and parameter calibrations. Our findings indicate that the social cost of carbon is 12 percent higher in a model incorporating natural capital compared to a standard DICE-type model. Furthermore, the social cost of carbon is highly sensitive to the elasticity of substitution in the final output production function. Accounting for the stochastic nature of productivity further increases the social cost of carbon by 0.13 percent to 39 percent, depending on the inclusion of habit formation.
