Most functions of economic impact assume that climate change is smooth. We here propose impact functions that have stochastic climate change as an input. These functions are identical in shape and have similar parameters as do deterministic impact functions. The mean stochastic impacts are thus similar to deterministic impacts. Welfare effects are larger, and the stochasticity premium is larger than the risk premium. Results suggest that stochasticity is more important for past impacts than for future impacts. This outcome is partly caused by an underestimation of natural variability in the 21st century climate projections.
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Estrada et al. (2015) studied this question.
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