Mathematical Models for Predicting Development of Orius majusculus (Heteroptera: Anthocoridae) and Its Applicability to Biological Control.

Complete development of Orius majusculus Reuter (Heteroptera: Anthocoridae) at nine constant temperatures, between 12 and 34°C, was evaluated under laboratory conditions. The maximum developmental period of 90.75 d occurred at 12°C, whereas the minimum of 11.34 d occurred at 30°C. From 30 to 34°C, the developmental period increased to 13.50 d. Between 21 and 33°C the survival rate was more than 80%. The optimal temperature when considering developmental rate and survival was between 24 and 30°C. At constant temperatures, four models were developed, one of which was linear and three nonlinear (Logan type III, Lactin, and Brière). All models were validated under field conditions and diel temperature variations. The values of the adjusted determination coefficients of the linear (>0.77) and nonlinear models (>0.93) were high. The thermal requirement for complete development, from egg to adult, was 284.5 degree-days (DD). In all nonlinear models, elevated levels of accuracy (≥90.31%) in field validation were also obtained, especially in the Brière model. With the results obtained herein, the optimization of O. majusculus mass rearing, its ideal use, and field management in biological control strategies can be improved.

Optimizing Nesidiocoris tenuis (Hemiptera: Miridae) as a biological control agent: mathematical models for predicting its development as a function of temperature.

For optimal application of Nesidiocoris tenuis as a biological control agent, adequate field management and programmed mass rearing are essential. Mathematical models are useful tools for predicting the temperature-dependent developmental rate of the predator. In this study, the linear model and nonlinear models Logan type III, Lactin and Brière were estimated at constant temperatures and validated at alternating temperatures and under field conditions. N. tenuis achieved complete development from egg to adult at constant temperatures between 15 and 35°C with high survivorship (>80%) in the range 18-32°C. The total developmental time decreased from a maximum at 15°C (76.74 d) to a minimum at 33°C (12.67 d) and after that, increased to 35°C (13.98 d). Linear and nonlinear developmental models all had high accuracy (R a 2 >0.86). The maximum developmental rate was obtained between 31.9°C (Logan type III and Brière model for N1) and 35.6°C (for the egg stage in the Brière model). Optimal survival and the highest developmental rate fell within the range 27-30°C. The field validation revealed that the Logan type III and Lactin models offered the best predictions (95.0 and 94.5%, respectively). The data obtained on developmental time and mortality at different temperatures are useful for mass rearing this predator, and the developmental models are valuable for using N. tenuis as a biological control agent.