Optimal experimental design for predator-prey functional response experiments

Journal of the Royal Society, Interface
Jeff F ZhangChristopher C Drovandi

Abstract

Functional response models are important in understanding predator-prey interactions. The development of functional response methodology has progressed from mechanistic models to more statistically motivated models that can account for variance and the over-dispersion commonly seen in the datasets collected from functional response experiments. However, little information seems to be available for those wishing to prepare optimal parameter estimation designs for functional response experiments. It is worth noting that optimally designed experiments may require smaller sample sizes to achieve the same statistical outcomes as non-optimally designed experiments. In this paper, we develop a model-based approach to optimal experimental design for functional response experiments in the presence of parameter uncertainty (also known as a robust optimal design approach). Further, we develop and compare new utility functions which better focus on the statistical efficiency of the designs; these utilities are generally applicable for robust optimal design in other applications (not just in functional response). The methods are illustrated using a beta-binomial functional response model for two published datasets: an experiment involving t...Continue Reading

References

Sep 1, 1987·The American Journal of Physiology·E Walter, L Pronzato
Jul 14, 2004·Proceedings of the National Academy of Sciences of the United States of America·Nils Chr StensethKjetill S Jakobsen
Aug 12, 2014·The Journal of Animal Ecology·Barbara ZimmermannHarry Peter Andreassen
Jul 1, 1988·Oecologia·Joel C TrexlerJoseph Travis

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Citations

May 13, 2020·Journal of the Royal Society, Interface·Hayden MoffatChristopher Drovandi
Jan 1, 2021·Ecology Letters·Mark Novak, Daniel B Stouffer
Jan 28, 2021·Journal of the Royal Society, Interface·Luis Martinez LomeliVladimir N Minin
Feb 19, 2021·Ecology and Evolution·Nikos E PapanikolaouDionysios Perdikis
Jun 3, 2021·Entropy·Gian Marco PalamaraDavid Alonso

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