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Measuring Changes in International Trade

Martin E. Abel and Frederick V. Waugh

American Journal of Agricultural Economics, 1966, vol. 48, issue 4_Part_I, 847-861

Abstract: This article presents and discusses a zero-axial skew-symmetric matrix (ZSM) that is useful for measuring changes in international trade. Such a matrix, E, has the property that the element eij, which represents exports from country i to country j, is equal to —eji, except that eii = 0. It provides a convenient and analytically useful way to present data on international trade among countries; both imports and exports appear in one matrix and separate matrices are not required. The ZSM can be used to measure changes in the level and composition of trade over a period of time. Transition matrices can be computed from long time-series of international trade data. The coefficients of these transition matrices provide useful data for summarizing changes in trade patterns. Both trends and annual variations in exports (or imports) from (or by) countries or regions can be measured.

Date: 1966
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