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Past states of continuous-time Markov models for ecological communities

2008
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Mathematical Biosciences
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Discrete-time Markov chains are often used to model communities of sessile organisms. The community is described by a set of discrete states, which may represent species or groups of species. Transitions between states are modelled using a stochastic matrix. A recent study showed how the time-reversal of such a Markov chain can be used to estimate the distribution of time since the last occurrence of some state of interest (such as empty space) at a point, given the current state of the point.

doi:10.1016/j.mbs.2007.08.006
pmid:17931668
fatcat:qxnrglygzbfhrg6nrjww4a5zge