Here's a summary of the responses I received:
Phaedon Kyriakidis pointed out that a cellular automata model can be regarded
as a space-time Markov Chain model.
Olivier Jaquet gave me the following reference to a lattice gas model he
developed for stochastic simulation of conduit networks that can be applied in
hydrogeological modeling of karst aquifers:
Jaquet O. (1997) Stochastic model of karstic conduit networks using lattice
gas simulations, Geostatistics Wollongong '96, Volume 2, pp.1124-1133.
Justin Quirouette directed me to to:
oft.htm which contains free software and reports on spatial statistics and
cellular automata (separately).
Claudio Monteiro sent me a paper about a model in which a fuzzy inference
engine and a cellular automata engine are combined:
Miranda V., Monteiro C., "Fuzzy Inference in Spatial Load Forecasting",
Proceedings of PES Winter Meeting 2000, Singapore, January 2000.
There appeared to be more list members who are interested in the subject.
Sytze de Bruin
Centre for Geo-Information
P.O. Box 339
6700 AH Wageningen
Tel: +31 317 474636
Fax: +31 317 474567
<< original message >>
A simple cellular automaton is defined by a cell in a lattice, a discrete
state space, a neighbourhood template and a local transition function. Cells
can change their state in discrete time-steps. The transition rules can be
deterministic or stochastic. Usually all cells change their state
simultaneously (unlike SIS). Usually, state transitions only depend on the
previous state of the cells and their neighbourhoods and possibly some local
or global constraints.
Does anybody have suggestions (literature, software, comments) for
geostatistical approaches to modelling with cellular automata. I am
particularly interested in the possibility of using cross-variograms derived
from historical data.
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