Aggregation Bias, Compositional Change, and the Border Effect

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Do state borders matter for U.S. intranational tradeq The role of history and internal migration (2007, background): “Second, Hillberry (2001) and Hillberry and Hummels (2000) argue that utilization of the aggregate CFS data may affect the interpretation of the border effect.”
Is gravity linear (2008, background): “From (17) and (18), it follows that if the bandwidth for a particular unordered or ordered discrete variable equals zero, then the kernel reduces to an indicator function and no weight is given to observations for which zi 6= zj .”
A Meta-Analysis of Estimates of the Impact of Technical Barriers to Trade (2012, unknown): “Further, the sectoral aggregation level of the trade flow used in the investigations also matters for the size and variation of the trade effects (Hillberry (2002)).”
Estimation of the Gravity Equation in the Presence of Zero Flows (2006, background): “Hillberry (2002) motivates and estimates a more restricted variant, in which an independent selection and, as he prefers to call it, truncated regression equation are estimated (cf. Cragg, 1971).”
Short-run and long-run industry-level estimates of U.S. Armington elasticities (2003, unknown): “affect the composition of trade (Hillberry, 2002).”