Comparison of Population Growth Curves of Three Diabrotica (Coleoptera: Chrysomelidae) Species in Maize (Zea mays L.) in Irapuato, Guanajuato, México

Oscar Alejandro Martínez-Jaime; Manuel Darío Salas-Araiza; José Antonio Díaz-García; Carlos Manuel Bucio-Villalobos; Eduardo Salazar-Solís

doi:10.3958/059.039.0317

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1 September 2014 Comparison of Population Growth Curves of Three Diabrotica (Coleoptera: Chrysomelidae) Species in Maize (Zea mays L.) in Irapuato, Guanajuato, México

Oscar Alejandro Martínez-Jaime, Manuel Darío Salas-Araiza, José Antonio Díaz-García, Carlos Manuel Bucio-Villalobos, Eduardo Salazar-Solís

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Southwestern Entomologist, 39(3):581-593 (2014). https://doi.org/10.3958/059.039.0317

Abstract

Population growth curves in three species of Diabrotica in the region of Irapuato, Guanajuato, Mexico, were estimated using multivariate multiple regression techniques through a third-degree polynomial function defined by:

where T is the average monthly standard temperature, PP is the average monthly accumulated rainfall, and Y1, Y2, and Y3 are the numbers of Diabrotica undecimpunctata (Harold), Diabrotica balteata (LeConte), and Diabrotica virgifera (Krysan & Smith) adults, respectively. The Roy criterion was used in the multivariate analysis of variance (MANOVA) of the multivariate multiple regression, which statistical test value was 95.2 with a probability for its corresponding approximation F of 8.548e-05. Consequently, the estimated polynomials for the population growth curves were adequate. Multivariate association measures Wilks (Λ; = 0.9984) and Roy (θ = 0.9896) were calculated, allowing estimation of growth curves as prediction tools. These models of polynomial growth curves were compared to each other through the statistic W = 23171.78, which yielded a probability value P = 0**, concluding that the growth curves were different. The critical points for temperature and rainfall (T, PP), at which the number of individuals of each species reached its maximum, calculated through standard techniques of mathematical programming were (14.0562, 4.5) for D. undecimpunctata, (13.7000, 168.0) for D. balteata, and (14.7020, 4.5) for D. virgifera.

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Oscar Alejandro Martínez-Jaime, Manuel Darío Salas-Araiza, José Antonio Díaz-García, Carlos Manuel Bucio-Villalobos, and Eduardo Salazar-Solís "Comparison of Population Growth Curves of Three Diabrotica (Coleoptera: Chrysomelidae) Species in Maize (Zea mays L.) in Irapuato, Guanajuato, México," Southwestern Entomologist 39(3), 581-593, (1 September 2014). https://doi.org/10.3958/059.039.0317

Published: 1 September 2014

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