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e paper presents results of a comparative analysis of two mathematical models of fish length growth: the von Bertalanffy equation and the modified power function. The accuracy of mathematical modelling of empirical data and a potential for extrapolation of theoretical growth range beyond the empirical data are compared. The data on accuracy and extrapolation potential, obtained with the two models tested and averaged for a species, were subject to the Student′s t test. Additionally, an attempt was made to determine a relationship between accuracy and extrapolation potential of each model; linear regression was used to describe the relationship. The generalised (ignoring between-specific differences) description of the relationship involved exponential, logarithmic, and power regressions in addition to linear regression.
The growth of the scale radius was followed in seven fish species (roach, bream, rudd, humped rockcod, perch, halibut, and zander). The results obtained by analyzing a total of 11304 individuals were compared with corresponding data on the standard length growth of each species. The mathematical description of growth was done with the following six models: the von Bertalanffy equation, the Ford-Walford formula, the second order polynomial, the Gompertz model, the power function, and the modified power function. Data on length growth and length growth versus scale radius growth, which were used to determine the scale radius growth of each species, were taken from the literature. The growth of both the scale radius and body length of the species analyzed was fairly uniform: the increment ratios, averaged for the entire growth period, were close to 0.9. However, slightly higher values, hence more uniform growth, were recorded in radius growth (0.93) than in fish length growth (0.90). The fish length increments in the first two years of life were lower than the scale radius increments during the same time.
A total of 150 pikeperch individuals caught in 1998 in the Pomeranian Bay were examined. The fish were picked out from 4 samples: 3 were obtained in March and 1 in April 1998. The standard methods of length and weight growth rate determination were used. When determining fish age, the verge coefficient was factored in (if Kr > 0.50, 1 was added to the scale annual ring count).
The study involved analysis, performed with standard methods, of length and weight growth of 202 perch individuals caught in November 1999 from the Szczecin Lagoon. The verge coefficient was factored in both when determining the age distribution and when analysing length and weight growth by calculating mean values in age groups (when Kr > 0.50, the number of annual rings was increased by 1).
The paper presents the analysis of relationships between variations in Fulton′s condition coefficient (K) and the exponent n in the length-weight (L-W) relationship. When n < 3, K was observed to decrease with fish size; a reverse was true when n > 3. On the other hand, the condition coefficient K′ (Bagenal and Tesch 1978) remained constant and not related to fish size, regardless of n. The two coefficients were used to study condition of the Lake Miedwie pike (85 individuals) and perch (316 individuals) and to determine relationships between condition on the one hand and the fish length, weight, water temperature, and feeding intensity on the other. Four mathematical functions (linear, power, log, and exponential) were applied to study the relationships in each species. In addition, relationships between condition and water temperature and feeding intensity were explored by means of multiple regression. Condition of the two species studied was found to be similar to that reported earlier from water bodies of the former USSR, Węgorzewo Lake District, and the River Odra estuary.
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