MODEL FOR BIONOMY OF PRIVET SAWFLY (Macrophya punctumalbum L.) (Hymenoptera, Tenthredinidae)
Hanna Piekarska-Boniecka
Poznań University of Life SciencesIdzi Siatkowski
Poznań University of Life SciencesJoanna Zyprych
Poznań University of Life SciencesAbstract
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.
Keywords:
Macrophya punctumalbum L., modelling, Negative Binomial Distribution, Poisson Distribution, Poisson Inverse Gaussian DistributionReferences
Hoop M., 1983. Die Nahrungspflanzen der Pflanzenwespen (Symphyta, Hymenoptera) Schleswig-Holsteins. Faun.-őkol. Mitt., suppl. 4, 1–52.
Johnson N.L., Kotz S., Kemp A.W., 2005. Univariate Discrete Distributions. Wiley, NY.
Piekarska-Boniecka H., Kadłubowski W., Siatkowski I., 2008. A study of bionomy of the privet sawfly (Macrophya punctumalbum [L.]) (Hymenoptera, Tenthredinidae) – a pest of park plants. Acta Sci. Pol., Hortorum Cultus, 7, 1, 3–11.
Pniak M., 1998. Wstępne obserwacje nad biologią i morfolofią brosznicy jesionówki (Macrophya punctum-album L.). In: T. Barczak, P. Indykiewicz (red.), Fauna miast – Urban fauna, Wyd. ATR, Bydgoszcz, 106–109.
R Development Core Team, 2009. R: A language and environment for statistical computing. R Foundation for Statistical Computing, Vienna, Austria. URL http://www.R-project.org.
Rigby R.A., Stasinopoulos D.M., 2005. Generalized additive models for location, scale and shape (with discussion). Appl. Statist., 54, 3, 507–554.
Schwarz G., 1978. Estimating the dimension of a model. Ann. Statist., 6, 461–464.
Schwenke W., 1982. Die Forstschädlinge Europas. Ein Handbuch in fűnf Bänden. Vierter Band. Hautflűgler und Zweiflűgler. Verl. P. Parey, Hamburg, Berlin.
Spiegelhalter D.J., Best N., Carlin B., van der Linde A., 2002. Bayesian measures of model complexity and fit. J. R. Statist. Soc, B, 64, 583–640.
Poznań University of Life Sciences
Poznań University of Life Sciences
Poznań University of Life Sciences
License
Articles are made available under the conditions CC BY 4.0 (until 2020 under the conditions CC BY-NC-ND 4.0).
Submission of the paper implies that it has not been published previously, that it is not under consideration for publication elsewhere.
The author signs a statement of the originality of the work, the contribution of individuals, and source of funding.
