We present a Bayesian spatio-temporal error correction model and use it to analyze grain market integration in Finland during the 1860s famine. Compared with the existing error correction methodology, our approach allows simultaneous modeling of multiple interdependent time series without cumbersome statistical testing needed to predetermine the point of reference -- the market leader. Furthermore, introducing a spatio-temporal structure enables a flexible analysis of the regional and intertemporal variations in the market mechanism. We detected spatially asymmetric ``price ripples'' that spread out from the shock origin. We corroborated the existing literature on the speedier adjustment to emerging price differentials during the famine, but we detected this principally in urban markets. This hastened return to long-run equilibrium means faster and longer travel of price shocks. This, in turn, implies prolonged out-of-equilibrium dynamics, proliferated influence of market shocks, and, importantly, a wider spread of famine conditions.
翻译:我们提出了一个贝叶西亚时空误差修正模型, 用于分析1860年代饥荒期间芬兰的谷物市场整合情况。 与现有的误差纠正方法相比, 我们的方法允许同时建模多个相互依存的时间序列,而无需经过繁琐的统计测试来预先确定参照点 -- -- 市场领袖。 此外, 引入时空结构可以灵活分析市场机制的区域和时际差异。 我们检测到了从冲击源中扩散出来的空间不对称的“价格裂纹 ” 。 我们证实了关于饥荒期间快速调整新出现的价格差值的现有文献,但我们主要在城市市场中检测到了这一点。 这种快速回归长期平衡意味着价格冲击的速度更快和更长。 这反过来意味着长期的平衡动态、市场冲击的蔓延影响,以及更为广泛的饥荒条件。