Robust optimal observation of a metapopulation

We consider a two-parameter continuous-time Markovian model for patch occupancy in metapopulation, and address the question of when to observe the population in order to obtain the most accurate and precise estimator of the parameters. Using the likelihood obtained from a diffusion approximation we...

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Veröffentlicht in:Ecological modelling 2010-10, Vol.221 (21), p.2521-2525
Hauptverfasser: Pagendam, D.E., Pollett, P.K.
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container_title Ecological modelling
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creator Pagendam, D.E.
Pollett, P.K.
description We consider a two-parameter continuous-time Markovian model for patch occupancy in metapopulation, and address the question of when to observe the population in order to obtain the most accurate and precise estimator of the parameters. Using the likelihood obtained from a diffusion approximation we derive a robust procedure for determining the optimal observation schedule, which is considerably simpler than would otherwise be possible. We investigate the performance of two optimality criteria, ED-optimality and a particular form of maximin-optimality. Both allow one to incorporate prior belief about the parameter values before any data is collected. Kernel density estimates of the maximum likelihood estimator are compared under the various combinations of optimality criteria and prior distributions. Our methods are illustrated with reference to a model for the spread of crown of thorns starfish ( Acanthaster planci) among the 55 islands comprising the Ryukyu group in Japan.
doi_str_mv 10.1016/j.ecolmodel.2010.02.018
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subjects Acanthaster planci
Animal, plant and microbial ecology
Approximation
Asteroidea
Biological and medical sciences
Density
Fundamental and applied biological sciences. Psychology
General aspects. Techniques
Islands
Marine
Markov process
Mathematical analysis
Mathematical models
Metapopulation
Methods and techniques (sampling, tagging, trapping, modelling...)
Optimal observation
Optimality criteria
Optimization
Spreads
title Robust optimal observation of a metapopulation
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