On natural resource substitution

We present a simple dynamic model to get some key insights about the substitution of renewable for nonrenewable resources and the consequences for sustainability. We highlight the role of the elasticity of substitution (technological component) to determine the adjustment of production as a response to scarcity and growing ability of resources (environmental component). In some cases, the model predicts a smooth substitution of renewable for nonrenewable resources, but this process could work in the opposite direction if renewable resources are temporarily beyond their maximum sustainable yield, so that their marginal natural growth is negative. If substitution possibilities are high enough, it may be optimal to suspend the extraction of a resource to allow the biomass to regenerate. A production process is more likely to be sustainable the more heavily it depends on renewable, rather than nonrenewable resources.