Quantifying spatial structure in experimental observations and agent-based simulations using pair-correlation functions
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2013
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Binder, B.
Simpson, M.
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Physical Review E: Statistical, Nonlinear, and Soft Matter Physics, 2013; 88(2):1-10
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Benjamin J. Binder, Matthew J. Simpson
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Abstract
We 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.
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© 2013 American Physical Society.