4. Concluding remarks
Global trade, in the age of the second globalization, has entangled national economies, by interconnecting production sites internationally, in a fashion that is still underestimated [21,24] [20,23]. This historical process of vertical integration has been producing global value chains (GVCs) wherein goods traveling across countries augment their value at every stage of production [24]. The novelty of our work is that we investigated this cyclic path of value across countries by means of network theory and Markov chain theory on a global scale and a very long time scale. In this way, we show that over a longer time period the oil price has a striking correlation with the structure of trade, globally. A correlation that increases with the scope of the analysis, from first order properties of the network (one link distance), to higher order properties. The worldwide sum of country trade imbalances show a weak correlation of 0.32. The correlation increases by engulfing bilateral relationships between countries on a global scale (reciprocity, 0.70). Finally, the highest correlation, up to 0.85, is observed when we involve more complex patterns at the global level. By means of statistical mechanics of networks (exponential random graphs) we were able to demonstrate that this remarkable correlation can only be explained with higher-than-one order properties of the network, indicating that GVCs and structure of trade are intimately linked to oil price. We hypothesize that this tight relationship points to the role of transports in determining, in the long run, the extent and the way production sites connect internationally. By looking closely at the single-country cycling index (Fig. 4) and by dissecting the global cycling according to different distance thresholds (Fig. S1), we identified two structural breaks and two phases of the second wave of globalization (the second unbundling).