Markov analysis of land use dynamics – A Case Study in Madagascar
Auteurs de la publication
Fabien Campillo, Dominique Hervé, Angelo Raherinirina et Rivo Rakotozafy.
Fabien Campillo, Dominique Hervé, Angelo Raherinirina et Rivo Rakotozafy.
Abstract & synthèse du document
We present a Markov model of a land-use dynamic along a forest corridor of Madagascar. A first approach by the maximum likelihood approach leads to a model with an absorbing state. We study the quasi-stationary distribution law of the model and the law of the hitting time of the absorbing state. According to experts, a transition not present in the data must be added to the model: this is not possible by the maximum likelihood method and we make of the Bayesian approach. We use a Markov chain Monte Carlo method to infer the transition matrix which in this case admits an invariant distribution law. Finally we analyze the two identified dynamics.
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Patrick Rakotomarolahy
Patrick Rakotomarolahy
RATSIMBAZAFY Andraina Aubin Marie1, RAKOTONDRAMASY Vokatsoa Christian2, TSIMILAZA Andriamihamina3, and RAHARISOLOLALAO Amelie4