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Type: Journal article
Title: Quantifying spatial structure in experimental observations and agent-based simulations using pair-correlation functions
Author: Binder, B.
Simpson, M.
Citation: Physical Review E. (Statistical, Nonlinear, and Soft Matter Physics), 2013; 88(2):1-10
Publisher: American Physical Soc
Issue Date: 2013
ISSN: 1539-3755
Statement of
Benjamin J. Binder, Matthew J. Simpson
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.
Keywords: Agent based simulation; Complete spatial randomness; Discrete simulations; Distribution of cluster; Pair correlation functions; Simulation images; Spatial structure; Summary statistic
Rights: © 2013 American Physical Society.
RMID: 0020131526
DOI: 10.1103/PhysRevE.88.022705
Grant ID:
Appears in Collections:Mathematical Sciences publications

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