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The study of the bionomy of privet sawfly (Macrophya punctumalbum (L.), a pest of park plants in the city of Poznań, was conducted during three vegetation seasons in the years 1981–1983, at the insectarium of the Department of Entomology at Agricultural University in Poznań. The aim of the study was to define the longevity and fecundity of imagines, larvae development of the species and the level of parasitizing the eggs of the privet sawfly by parasitoids of the Chalcidoidea superfamily. The sawfly occurred in the last ten days of May. The females lived from 4 to 36 days, most often quite short (73.3%), from 7 to 14 days. After reaching the stage of sexual maturity, which lasted mostly 8–9 days, they started laying eggs. The fecundity of females fluctuated between 1 and 122 eggs. The mean female fecundity was 52 eggs. It was found that the larvae of sawfly went through 5 instar stages. The parasitoids of the Chalcidoidea superfamily decreased the abundance of the sawfly at the egg stage from 0.47% to 8.65%. Those were Anaphes cultripennis Debauche (Mymaridae) and Trichogramma sp. (Trichogrammatidae).
The aim of the paper is to construct a model which describes the life expectancy of privet sawfly females (Macrophya punctumalbum L.), including additional information on the number of eggs. The data on life expectancy of females and their fertility were obtained in the course of research on the bionomy of the privet sawfly. A variety of discrete distributions to modelling the lengths of life was provided, namely: the Poisson Distribution, the Negative Binomial Distribution and the Poisson-inverse Gaussian Distribution. The analysis the above distributions were applied along with the GAMLSS (Generalized Additive Models for Location, Scale and Shape) and the resulting models were compared with the use of the Global Deviance criterion, the Akaike information criterion and the Schwarz Bayesian criterion. For the best model the expected value and the standard deviation were defined. The profile deviance plot of this parameters, analysis of the residuals, kernel density and Q-Q plot are presented, too. All analyses were performed in R with the GAMLSS package.
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