Title

Estimation of dynamic rate parameters in insect populations undergoing sublethal exposure to pesticides

Publication Date

2007

Journal

Bulletin of Mathematical Biology

Volume

69

Issue

7

First Page

2139

Last Page

2180

Department

Mathematics

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.

DOI

10.1007/s11538-007-9207-z

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