Cascading failures in anisotropic interdependent networks of spatial modular structures

The structure of real-world multilayer infrastructure systems usually exhibits anisotropy due to constraints the embedding space. For example, geographical features like mountains, rivers and shores influence architecture critical networks. Moreover, such spatial networks are often non-homogeneous but rather have a modular with dense connections within communities sparse between neighboring communities. When different layers interdependent, local failures attacks may propagate throughout system. Here we study robustness interdependent which both anisotropic heterogeneous. We also evaluate effect localized having geometrical shapes. find that more robust against attacks, surprisingly, even on isotropic structures, effective than attacks.