Impact of inefficient quota allocation under the Canada-U.S. softwood lumber dispute: A calibrated mixed complementarity approach

In this paper, a spatial price equilibrium model developed to shed new light on the economic impact of restrictive trade sanctions adopted in the Canada-U.S. softwood lumber dispute. Mixed complementarity programming is used to solve a 21-region, global trade model that is calibrated to 2011 observed bilateral trade flows using positive mathematical programming. In addition, the model employs a mechanism for analyzing the effects of the tariff rate quota used in the 2006 Softwood Lumber Agreement (SLA). It is estimated that the SLA created an annual deadweight loss of $28 million, paid by U.S. consumers. The quota constrained Alberta lumber producers while BC producers had excess quota. The lack of a proper mechanism for capturing quota rent, such as a tradable quota scheme or quota auction resulted in the survival of high-cost firms, perhaps to the detriment of lower-cost firms in Alberta. In the absence of SLA, it is estimated that Alberta would supply an additional 9% of Canadian softwood lumber to the U.S., eroding the supply share of all other regions while improving aggregate welfare.