Journal
MATHEMATICAL BIOSCIENCES
Volume 196, Issue 1, Pages 39-64Publisher
ELSEVIER SCIENCE INC
DOI: 10.1016/j.mbs.2004.09.001
Keywords
plant-insect interactions; inverse problems; hypothesis testing; standard errors in dynamical models
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We consider several population dynamics models in investigating data from controlled experiments with aphids in broccoli patches surrounded by different margin types (bare or weedy ground) and three levels of insecticide spray (no, light, or heavy spray). We carry out parameter estimation computations along with statistical analysis to compare autonomous versus non-autonomous model dynamics. We conclude with a brief discussion of some not-so-subtle pitfalls that can arise when using quantitative measures of model fit-to-data to make biological inferences as well as offer a positive example of how one might combine a priori biological hypothesis and intuition with rather sophisticated (from a field biology viewpoint) mathematical methodologies to suggest synergisms. (c) 2005 Elsevier Inc. All rights reserved.
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