title: Vulnerability and Cosusceptibility Determine the Size of Network Cascades.
abstract: In a network, a local disturbance can propagate and eventually cause a substantial part of the system to fail in cascade events that are easy to conceptualize but extraordinarily difficult to predict. Here, we develop a statistical framework that can predict cascade size distributions by incorporating two ingredients only: the vulnerability of individual components and the cosusceptibility of groups of components (i.e., their tendency to fail together). Using cascades in power grids as a representative example, we show that correlations between component failures define structured and often surprisingly large groups of cosusceptible components. Aside from their implications for blackout studies, these results provide insights and a new modeling framework for understanding cascades in financial systems, food webs, and complex networks in general.
authors.affiliation: Department of Physics and Astronomy, Northwestern University, Evanston, Illinois 60208, USA.
authors.forename: Yang
authors.initials: Y
authors.lastname: Yang
authors.affiliation: Department of Physics and Astronomy, Northwestern University, Evanston, Illinois 60208, USA.|Northwestern Institute on Complex Systems, Northwestern University, Evanston, Illinois 60208, USA.
authors.forename: Takashi
authors.initials: T
authors.lastname: Nishikawa
authors.affiliation: Department of Physics and Astronomy, Northwestern University, Evanston, Illinois 60208, USA.|Northwestern Institute on Complex Systems, Northwestern University, Evanston, Illinois 60208, USA.
authors.forename: Adilson E
authors.initials: AE
authors.lastname: Motter