Bulletin of Mathematical Biology

, Volume 69, Issue 7, pp 2139–2180 | Cite as

Estimation of Dynamic Rate Parameters in Insect Populations Undergoing Sublethal Exposure to Pesticides

  • H. T. BanksEmail author
  • John E. Banks
  • Lara K. Dick
  • John D. Stark
Original Article


With newer, more environmentally friendly and, subsequently less lethal, pesticides in use, evaluating efficacy of a pesticide now requires more than simply counting deaths after treatment. A discrete, age-structured matrix model that incorporates a species’ life history traits (such as birth rate, death rate and fecundity) has previously been used by ecologists. This model will be presented and discussed along with an alternative continuous, age-structured model which offers significant advantage in considering sublethal damage. We use this continuous model to estimate time-dependent mortality parameters in an ordinary least-squares technique. Confidence intervals are given and results from tests for statistical significance of added parameters are presented.


Population models Leslie Sinko–Streifer McKendrick–VonForester Time-dependent parameters 


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Copyright information

© Springer Science+Business Media, Inc. 2007

Authors and Affiliations

  • H. T. Banks
    • 1
    Email author
  • John E. Banks
    • 2
  • Lara K. Dick
    • 1
  • John D. Stark
    • 3
  1. 1.Center for Research in Scientific ComputationNorth Carolina State UniversityRaleighUSA
  2. 2.Environmental Science, Interdisciplinary Arts and SciencesUniversity of WashingtonTacomaUSA
  3. 3.Department of Entomology, Ecotoxicology ProgramWashington State UniversityPuyallupUSA

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