Endogenous risk and point-nonpoint uncertainty trading ratios

Richard D. Horan, James S. Shortle

Research output: Contribution to journalArticlepeer-review

5 Scopus citations


Point-nonpoint trading enables highly uncertain nonpoint pollution abatement to be substituted for relatively certain point source pollution abatement. Market designers use uncertainty trade ratios to address imperfect substitution between these commodities. Guidance from government agencies and other entities recommends large ratios that penalize trades for nonpoint abatement, and extant programs universally implement this guidance. Previous research has shown that the standard guidance is based on an inappropriate framing of the risk effects of substituting nonpoint for point source pollution abatement, and has demonstrated that the trade ratios should be set to encourage or discourage substitution, depending on whether the substitution is risk-reducing or risk-increasing. However, the Pigouvian pricing approach used to develop this result obscures the underlying economic calculus because it does not recognize or characterize the tradeoffs between abatement costs savings and environmental risk that must be considered in an economic evaluation of alternative ratios, and that would be key to explaining why ratios recommended by economic analysis would be preferred to received wisdom. We develop a new approach that explicitly identifies and characterizes the tradeoffs associated with the choice of ratio. The approach is examined both in first-best settings where trade ratios and initial permit allocations are jointly determined, and in second-best settings where permit allocations are taken as given. We provide a numerical analysis of trading in the Susquehanna River Basin in Pennsylvania to illustrate theory. We find theoretical and numerical support suggesting that smaller ratios may be optimal.

Original languageEnglish (US)
Pages (from-to)427-446
Number of pages20
JournalAmerican Journal of Agricultural Economics
Issue number2
StatePublished - Mar 2017

All Science Journal Classification (ASJC) codes

  • Agricultural and Biological Sciences (miscellaneous)
  • Economics and Econometrics


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