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A NEW CLASS OF MODELS OF SPATIAL DISTRIBUTION
Author(s) -
Conlisk Erin,
Bloxham Michael,
Conlisk John,
Enquist Brian,
Harte John
Publication year - 2007
Publication title -
ecological monographs
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 4.254
H-Index - 156
eISSN - 1557-7015
pISSN - 0012-9615
DOI - 10.1890/06-0122
Subject(s) - class (philosophy) , simple (philosophy) , negative binomial distribution , computer science , grid , mathematical model , econometrics , ecology , mathematics , statistical physics , artificial intelligence , statistics , biology , poisson distribution , philosophy , physics , geometry , epistemology
We analyze a new class of models of spatial distribution, developing mathematical properties and performing empirical tests. The models are based on a simple colonization rule operating on a rectangular grid. Two special cases within the class are traditional random placement and negative binomial models. Over three large data sets, these two cases are strongly outperformed by more flexible models within the class, in particular, models that allow more general patterns of aggregation. The models are simple and broadly applicable, with only one adjustable parameter, representing aggregation. Shortcomings of the colonization rule are studied, and extensions and applications of the models are discussed.