to show the latter result consider two wells j and i with dj dt then it must be that ifdjt sfly i dj sfl for all and t i eg consider the gloverbalmer equation however the gains from optimal regulation relative to other simpler kinds of regulation may not be quantitatively important and depend both on the heterogeneity of producers and their production functions and on the spatial complexity of the hydrologic system for any given application it is important to understand whether the gains from the introduction of a complex regulatory or incentivebased system for groundwater management are worthwhile in comparison to alternate regulations with lower informational requirements and higher stakeholder acceptability