Imposed and inherent scales in cellular automata models of habitat
Authored by Peter D Craig
Date Published: 2010
DOI: 10.1016/j.ecolmodel.2010.07.011
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Mathematical description
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Abstract
Both observational and modelling studies of the natural environment are
characterised by their `grain' and `extent', the smallest and largest
scales represented in time and space. These are imposed scales that
should be chosen to ensure that the natural scales of the system are
captured in the study. A simple cellular automata model of habitat
represents only the presence or absence of vegetation, with global and
local interactions described by four empirical parameters. Such a model
can be formulated as a nonlinear Markov equation for the habitat
probability. The equation produces inherent space and time scales that
may be considered as transition scales or the scales for recovery from
disturbance. However, if the resolution of the model is changed, the
empirical parameters must be changed to preserve the properties of the
system. Further, changes in the spatial resolution lead to different
interpretations of the spatial structure. In particular, as the
resolution is reduced, the apparent dominance of one habitat type over
the other increases. The model provides an ability to compare both field
and model investigations conducted at different resolutions in time and
space. Crown Copyright (C) 2010 Published by Elsevier B.V. All rights
reserved.
Tags
individual-based models
pattern
Communities
Disturbance
Ecological-systems
Vegetation dynamics
Interspecific competition
Intermediate-scale
Local interactions
Determinism