Pair statistics clarify percolation properties of spatially explicit simulations

Dispersal is a fundamental control on the spatial structure of a population. We investigate the precise mechanism by which a mixed strategy of short- and long-distance dispersal affects spatial patterning. Using techniques from pair approximation and percolation theory, we demonstrate that dispersal...

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Bibliographic Details
Published in:Theoretical population biology 2006-03, Vol.69 (2), p.155-164
Main Authors: Achter, Jeffrey D., Webb, Colleen T.
Format: Article
Language:English
Subjects:
Aggregation
Cluster Analysis
Connectivity
Demography
Dispersal
Ecology
Genetics, Population - statistics & numerical data
Humans
Models, Genetic
Pair approximation
Percolation
Spatial models
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Summary:Dispersal is a fundamental control on the spatial structure of a population. We investigate the precise mechanism by which a mixed strategy of short- and long-distance dispersal affects spatial patterning. Using techniques from pair approximation and percolation theory, we demonstrate that dispersal controls the extent to which a population is completely connected by modulating the proportion of neighboring sites which are simultaneously occupied. We show that near the percolation threshold this pair statistic, rather than other metrics proposed earlier, best explains clustering, and we suggest more general circumstances under which this may hold.
ISSN:0040-5809
1096-0325
DOI:10.1016/j.tpb.2005.07.003