Estimation of dynamic rate parameters in insect populations undergoing sublethal exposure to pesticides
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.
Bulletin of Mathematical Biology
Banks, H T.; Banks, John E.; Dick, Lara; and Stark, John D.. "Estimation of dynamic rate parameters in insect populations undergoing sublethal exposure to pesticides." Bulletin of Mathematical Biology (2007) : 2139-2180.