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Acta Parasitologica, Vol.43, No. 2, 1998, 81-85
Kopocinski Boleslaw (1), Lonc Elzbieta (2), Modrzejewska Maria (2) - Fitting a bivariate negative binomial model to the distribution of bird lice (Phthiraptera, Mallophaga) parasitizing the pheasant (Phasianus colchicus L.) .

(1) Department of Application of Mathematics, Mathematical Institute, University of Wroclaw, Pl. Grunwaldzki 2/4, 50-384 Wroclaw; (2) Department of General Parasitology, Microbiological Institute, University of Wroclaw, Przybyszewskiego 63/77, 51-138 Wroclaw; Poland
ABSTRACT

The frequency distributions of seven lice species: Amyrsidea perdicis megalosoma (Overgaard, 1943), Uchida phasiani Modrzejewska et Zlotorzycka, 1977 (suborder Amblycera), Goniocotes chrysocephalus Giebel, 1874, Zlotorzyckella colchici (Denny, 1842), Lipeurus maculosus maculosus Clay, 1938, Reticulipeurus mesopelios colchicus (Clay, 1938) and Lagopoecus colchicus Emerson, 1949 (suborder Ischnocera) parasitizing the pheasant (Phasianus colchicus L.) were characterized with various statistical parameters (mean, range, prevalence and standard deviation) together with three indic es of parasite aggregation: parameter alpha of the negative binomial distribution, coefficient of dispersion (c.d.) as a dispersion to mean ratio (or s/x) and index of discrepancy (D of Poulin's index). A complex set of measures of aggregations confirmed the aggregated distributions of all parasite species; in all the series analysed the bird lice distributions fit the negative binomial model. Two parameters alpha and D of Poulin were correlated, i.e. high values of alpha were associated with low values of D.


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