Pair correlation is used widely across biology, ecology and physics, as well as in other areas, to obtain estimates of spatial structure. Environments with obstacles or voids that inhibit and alter the motion of individuals within that environment can give rise to spurious spatial correlations. We present a corrected pair correlation function for lattice-based domains that accounts for obstacles contained within the domain, and show that this ‘obstacle pair correlation function’ is necessary for isolating the correlation associated with the behavior of individuals, rather than the structure of the environment.
Congratulations to Stuart on this paper!
S.T. Johnston, E.J. Crampin (2019)
Corrected pair correlation functions for environments with obstacles
Physical Review E 99, 032124