Layers of interacting dynamic networks: Motivation and theory

We propose a framework for modeling two interacting network dynamics, that is promising as a representation of infrastructural dynamics modulated by underlying environmental uncertainties. Specifically, we propose using a stochastic automaton network known as the influence model to capture the evolution of discrete-valued environmental uncertainty statuses. The environmental-uncertainty process is viewed as driving a linear network model that captures an infrastructural dynamics of interest. This two-layer hybrid network model is shown to permit low-computation statistical (moment) analysis of meshed environmental and infrastructure dynamics.