Because it is difficult to monitor emissions and to implement differential
taxes and standards, uniform taxes and standards on agricultural chemical u
se are often proposed and used to control nonpoint-source pollution. This a
rticle analyzes the relative efficiency of these uniform instruments in the
presence of spatial heterogeneity. We show that the relative slopes of the
marginal pollution cost and marginal profit of chemical use are only one o
f the factors that affect the relative efficiency. Other factors include co
rrelation between marginal pollution costs and marginal profits and the slo
pe and variability of marginal profits. In addition, a uniform tax may resu
lt in some farmers not using the chemical, and a uniform standard may have
no effect on low-input land. We show empirically that the presence of corne
r solutions can reverse a conventional finding of tax or standard superiori
ty based on the relative-slop rule.