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Article
Modelling populations of Lygus hesperus on cotton fields in the San Joaquin Valley of California: the importance of statistical and mathematical model choice
Journal of Biological Dynamics (2016)
  • H.T. Banks, North Carolina State University
  • John E. Banks
  • Jay A. Rosenheim, University of California - Davis
  • Kristen Tillman, North Carolina State University
Abstract
Understanding the population dynamics of herbivorous insects is critical to developing and implementing effective pest control protocols. In the context of inverse problems, we explore the dynamic effects of pesticide treatments on Lygus hesperus, a common pest of cotton in the western United States. Fitting models to field data, we explore the topic of model selection for an appropriate mathematical model and corresponding statistical models, and use techniques including ANOVA-based model comparison tests and residual plot analysis to make the best selections. In addition we explore the topic of data information content: in this example, we are testing the question of whether data, as it is currently collected, can support time-dependent parameter estimation. Furthermore, we investigate the statistical assumptions often haphazardly made in the process of parameter estimation and consider the implications of unfounded assumptions.
Keywords
  • Inverse problem,
  • ordinary least squares,
  • generalized least squares,
  • model selection,
  • information content,
  • bootstrapping,
  • residual plots,
  • linear splines,
  • hemiptera,
  • herbivory,
  • pest suppression,
  • pesticide
Publication Date
Winter 2016
DOI
http://dx.doi.org/10.1080/17513758.2016.1143533
Citation Information
H.T. Banks, John E. Banks, Jay A. Rosenheim and Kristen Tillman. "Modelling populations of Lygus hesperus on cotton fields in the San Joaquin Valley of California: the importance of statistical and mathematical model choice" Journal of Biological Dynamics (2016)
Available at: http://works.bepress.com/john_banks/58/