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The paper deals with the conformal mapping of finite, plane, simply connected domains, representing oceans, lakes, estuaries, bays, lagoons, and other natural water bodies of this kind. As a rule, they are bounded by geometrically complex shorelines. The partial differential problems investigated in Oceanology and posed in such domains have turned out to be difficult to solve for at least three reasons. They follow on from the mathematical properties of the differential equations governing such problems, from the just-mentioned geometrical complexity of the domains of solution, and from the sensitivity of the solutions to boundary conditions. In view of the last reason the contours admitted as boundaries of the domains of the solution ought to be as close to the real shorelines as possible. The obviously inaccurate approximation of the shorelines by ‘staircases’, which appears rather often (cf. Catewicz & Jankowski 1983, Lin & Chandler-Wilde 1996) as a consequence of applying finite difference methods to the solution of the partial differential problems, raises serious doubts from the point of view of Numerical Fluid Mechanics. It is recalled in the paper that such inaccuracies are not unavoidable: that complicated plane domains can be transformed accurately by means of properly applied conformal mapping onto regular, canonical domains – in particular, onto discs or squares. Such a transformation is demonstrated on the rather difficult example of the Vistula Lagoon. The transformation begins with the decomposition of the domain into five plane subdomains, each one of which is eventually transformed onto a disc. Every such result is arrived at quite independently of the remaining subdomains, by means of a set of properly selected consecutive mappings. Hence, the final canonical domain consists in this case of a system of five discs which, however, within the framework of this differential problem, have to be treated as interconnected. The interconnections involve images of four segments of straight lines, separating the original subdomains. The transformations and the resulting canonical domain presented in the paper are intended to be applied to the solution of certain hydrodynamical problems concerning the Vistula Lagoon, which will be published elsewhere.
Within 2001-2002 a total of 621 eel Anguilla anguilla (L., 1758) (488 from the Vistula Lagoon and 133 from the Puck Bay) were examined. Fifteen parasite taxa were recovered: Pseudodactylogyrus anguillae (Yin et Sproston, 1948), Brachyphallus crenatus (Rudolphi, 1802), Deropristis inflata (Molin, 1859), Diplostomum spp., Bothriocephalus claviceps (Goeze, 1782), Proteocephalus macrocephalus (Creplin, 1825), Anguillicola crassus (Kuwahara, Niimi et Itagaki, 1974), Camallanus lacustris (Zoega, 1776), Cystidicola farionis Fischer, 1798, Hysterothylacium aduncum (Rudolphi, 1802), Raphidascaris acus (Bloch, 1779), Acanthocephalus anguillae (Müller, 1780), A. lucii (Müller, 1776), Echinorhynchus gadi Müller, 1776, and Pomphorhynchus laevis (Müller, 1776), representing Monogenea, Digenea, Cestoda, Nematoda, and Acanthocephala, respectively. Ten of these taxa occurred in the Vistula Lagoon, while fourteen were noted in the, Puck Bay. P. anguillae, Diplostomum spp., C. lacustris, C. farionis and P. laevis were not found in the lagoon eels, while B. crenatus did not occur in the bay. Anguillicola crassus was the most frequently found parasite (Vistula Lagoon: prevalence 75%, mean intensity 6.9 specimens; Puck Bay: 74.4%, and 8.3 specimens, respectively). Pseudodactylogyrus anguillae was recorded for the first time in the Puck Bay.
The composition of food consumed by larval and juvenile smelt (Osmerus eparlanus) in the Vistula Lagoon was analyzed taking into account changing environmental conditions. The fish and zooplankton were collected at two stages of research, at the end of May and at the beginning of June 2000. The meteorological conditions and physicochemical parameters of water were determined within a limited research area, where a dense network of 15 sampling sites was established. The digestive tracts of 2552 smelts with a standard body length (SL) of 10 to 34 mm were subjected to preparation. A qualitative and quantitative analysis of diet composition was performed within 5-mm fish body length classes, taking into consideration time- and space-variation, as well as changing environmental conditions, primarily wind strength and the depth of sampling sites. Particular attention was paid to the occurrence of a non-specific component in the diet of the pelagic smelt – copepods of the order Harpacticoida, found in bottom deposits. These organisms were present both in the zooplankton and in the food of smelt, and the intensity of their occurrence varied in time and space. The analysis revealed that the presence of the Harpacticoida in deep waters and in the diet of smelt was directly proportional to wind strength and inversely proportional to the depth of sampling sites.
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