Surveillance of spatio-temporal patterns - Change of interaction in an Ising dynamic model

Abstract

Surveillance to detect changes of spatial patterns is of interest in many areas such as environmental control and regional analysis. A model which possesses both spatial and time dependence is the Markov chain Markov field. Here a special case of this, called the Ising dynamic model with zero external field, and change in its spatial interaction parameter is considered. A method for simulation exactly according to this Ising dynamic model, is proposed. Surveillance methods corresponding to common methods for the time independent case, are derived.