@article{schaalje_1990, title={DYNAMIC-MODELS OF PESTICIDE EFFECTIVENESS}, volume={19}, ISSN={["0046-225X"]}, DOI={10.1093/ee/19.3.439}, abstractNote={A general procedure for formulating mathematical models of pesticide effectiveness is presented, consisting of a differential equation for deposition and degradation of the pesticide in the environment, a differential equation for intake and clearance of the pesticide by the insects, and a functional equation relating the hazard function of the insects to their curve of pesticide retention. Differences among previously developed models for pesticide-induced mortality have not been recognized, and their application to new situations has been limited by these unrecognized differences. Examples of the proposed procedure are developed and applied to two contrasting data sets from the literature. Because the model is formulated using the hazard function, the procedure can be used for modeling and analyzing data from many different kinds of studies and for comparing results from different kinds of studies.}, number={3}, journal={ENVIRONMENTAL ENTOMOLOGY}, author={SCHAALJE, GB}, year={1990}, month={Jun}, pages={439–447} }
 @article{schaalje_stinner_johnson_1989, title={MODELING INSECT POPULATIONS AFFECTED BY PESTICIDES WITH APPLICATION TO PESTICIDE EFFICACY TRIALS}, volume={47}, ISSN={["1872-7026"]}, DOI={10.1016/0304-3800(89)90003-3}, abstractNote={Few attempts have been made to model the dynamics of insect populations as affected by pesticides. We attempt to develop such a model by incorporating a pesticide effectiveness model into a sojourn time model for population dynamics. However, obtaining a workable model requires simplifying assumptions such as that insects rid themselves of the pesticide as they mature from one growth stage to the next. Using this assumption, a simple pesticide-population model is fitted to data from a pesticide efficacy trial. This fit is good, and agreement between parameter estimates from the two blocks in the study as well as agreement between some parameter estimates and external estimates of the same parameter suggest that the model may be valid. A pesticide-population model utilizing some of these parameter estimates is used to investigate the estimand of the modified Abbott's formula. Because of the dependence of this formula on the phenological status of the populations, the routine use of a simple pesticide-population model in analysis of data from pesticide efficacy trials is discussed.}, number={3-4}, journal={ECOLOGICAL MODELLING}, author={SCHAALJE, GB and STINNER, RL and JOHNSON, DL}, year={1989}, month={Sep}, pages={233–263} }
 @article{schaalje_vandervaart_1989, title={RELATIONSHIPS AMONG RECENT MODELS FOR INSECT POPULATION-DYNAMICS WITH VARIABLE RATES OF DEVELOPMENT}, volume={27}, ISSN={["0303-6812"]}, DOI={10.1007/BF00290637}, number={4}, journal={JOURNAL OF MATHEMATICAL BIOLOGY}, author={SCHAALJE, GB and VANDERVAART, HR}, year={1989}, pages={399–428} }