Matthieu Bussière, Giovanni Callegari, Fabio Ghironi, Giulia Sestieri, and Norihiko Yamano. "Estimating Trade Elasticities: Demand Composition and the Trade Collapse of 2008–2009." American Economic Journal: Macroeconomics 5 (2013), 118-51.
Paper available here: http://pubs.aeaweb.org/doi/pdfplus/10.1257/mac.5.3.118