Binder, B.Simpson, M.2013-11-272013-11-272013Physical Review E: Statistical, Nonlinear, and Soft Matter Physics, 2013; 88(2):1-101539-37551550-2376http://hdl.handle.net/2440/81294We define a pair-correlation function that can be used to characterize spatiotemporal patterning in experimental images and snapshots from discrete simulations. Unlike previous pair-correlation functions, the pair-correlation functions developed here depend on the location and size of objects. The pair-correlation function can be used to indicate complete spatial randomness, aggregation, or segregation over a range of length scales, and quantifies spatial structures such as the shape, size, and distribution of clusters. Comparing pair-correlation data for various experimental and simulation images illustrates their potential use as a summary statistic for calibrating discrete models of various physical processes.en© 2013 American Physical Society.Agent based simulationComplete spatial randomnessDiscrete simulationsDistribution of clusterPair correlation functionsSimulation imagesSpatial structureSummary statisticJournal article002013152610.1103/PhysRevE.88.0227050003230359000092-s2.0-8488389092318145Binder, B. [0000-0002-1812-6715]