Since 1970, services has risen from 50 percent of the world's final consumption expenditures to nearly 80 percent. Services are also far less traded between countries than goods. Thus, as consumers become more service-oriented, the world will become "less open", affecting international trade volumes. Using a general equilibrium trade model with non-homothetic preferences and endogenous shifts in consumption behavior, we quantify the impact of such structural change on global trade across 27 countries. We find that world trade as a fraction of GDP would have been about 23 percentage points or 70 percent higher by 2015 if countrylevel expenditure patterns were unchanged from 1970 onwards. Income effects explain about one-quarter of this counterfactual. Without input-output linkages in production, the counterfactual increase in world trade with no structural change would be even greater. Finally, the process of structural transformation toward services systematically impedes the gains from trade. JEL codes: F41, L16, O41