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

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Abstract

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.

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Authors and Affiliations

  1. Center for Research in Scientific Computation, North Carolina State University, Raleigh, NC, 27695-8205, USA

    H. T. Banks & Lara K. Dick

  2. Environmental Science, Interdisciplinary Arts and Sciences, University of Washington, Tacoma, WA, 98402-3100, USA

    John E. Banks

  3. Department of Entomology, Ecotoxicology Program, Washington State University, Puyallup, WA, 98371, USA

    John D. Stark

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  1. H. T. Banks
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  2. John E. Banks
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  3. Lara K. Dick
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  4. John D. Stark
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Correspondence to H. T. Banks.

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Banks, H.T., Banks, J.E., Dick, L.K. et al. Estimation of Dynamic Rate Parameters in Insect Populations Undergoing Sublethal Exposure to Pesticides. Bull. Math. Biol. 69, 2139–2180 (2007). https://doi.org/10.1007/s11538-007-9207-z

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  • DOI: https://doi.org/10.1007/s11538-007-9207-z

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