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A robust worldwide air-transportation network (WAN) is one that minimizes thenumber of stranded passengers under a sequence of airport closures. Building ontop of this realistic example, here we address how spatial network robustnesscan profit from cooperation between local actors. We swap a series of linkswithin a certain distance, a cooperation range, while following typicalconstraints of spatially embedded networks. We find that the network robustnessis only improved above a critical cooperation range. Such improvement can bedescribed in the framework of a continuum transition, where the criticalexponents depend on the spatial correlation of connected nodes. For the WAN weshow that, except for Australia, all continental networks fall into the sameuniversality class. Practical implications of this result are also discussed.

Critical Cooperation Range to Improve Spatial Network Robustness