Data for: Ricardian productivity differences and the gains from trade

We first show analytically that in the presence of sectoral Ricardian comparative advantage, a one-sector sufficient statistic formula that uses total trade volumes as a share of total absorption systematically understates the true gains from trade. Greater relative sectoral productivity differences lead to larger disparities between the gains implied by the one-sector formula and the true gains.

Using data on overall and sectoral trade shares in a sample of 79 countries and 19 sectors we show that the multi-sector formula implies on average 30% higher gains from trade than the one-sector formula, and as much as 100% higher gains for some countries. We then set up and estimate a quantitative Ricardian–Heckscher–Ohlin model in which no version of the formula applies exactly, and compare a range of sufficient statistic formulas to the true gains in this model.