A generalized, nonlinear regression approach to the length-weight relationship of European perch (Perca fluviatilis L.) from the Polish coast of the southern Baltic Sea
Length-weight relationships in fish are important tools in fisheries management. The aim of this study was to estimate the growth curve W=aLb for European perch, Perca fluviatilis L., from the Polish coast of the southern Baltic Sea (ICES Subdivision 25). The data set comprised the total weights and...
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| Format: | Article |
| Language: | English |
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Sciendo
2016-12-01
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| Series: | Archives of Polish Fisheries |
| Subjects: | |
| Online Access: | https://doi.org/10.1515/aopf-2016-0014 |
| _version_ | 1819007522417147904 |
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| author | De Giosa Marcello Czerniejewski Przemysław |
| author_facet | De Giosa Marcello Czerniejewski Przemysław |
| author_sort | De Giosa Marcello |
| collection | DOAJ |
| description | Length-weight relationships in fish are important tools in fisheries management. The aim of this study was to estimate the growth curve W=aLb for European perch, Perca fluviatilis L., from the Polish coast of the southern Baltic Sea (ICES Subdivision 25). The data set comprised the total weights and total lengths of 827 specimens caught during the 2011-2013 period. The mean total length (TL) was 169.4 mm (range 100.0-310.0 mm), and the mean total weight was 83.9 g (range 11.3-553.2 g). First, a multiplicative error term and a linear regression approach to loglog-transformed data was considered. The following estimated values for the parameters were obtained: a = exp(-12.5323), b=3.25, s=0.07862. This approach was not successful in solving the common heterogeneity problem of the length-weight data. A generalized nonlinear regression approach to the original data was more suitable in our case. The estimated model was W = 3.83×10-6×L3.238 + ε, with ε~norm(0,0.0281×E[W|L]2×1.242). The estimated 95% confidence interval for b was (3.218, 3.259), and the growth was allometric. The perch from the coastal waters of the Baltic Sea (ICES Subdivision 25) was characterized by slightly better condition than that caught in inland waters and estuaries. |
| first_indexed | 2024-12-21T00:25:55Z |
| format | Article |
| id | doaj.art-fb6bfcef35af4b6989857a30f335eb67 |
| institution | Directory Open Access Journal |
| issn | 2083-6139 |
| language | English |
| last_indexed | 2024-12-21T00:25:55Z |
| publishDate | 2016-12-01 |
| publisher | Sciendo |
| record_format | Article |
| series | Archives of Polish Fisheries |
| spelling | doaj.art-fb6bfcef35af4b6989857a30f335eb672022-12-21T19:22:00ZengSciendoArchives of Polish Fisheries2083-61392016-12-0124416917510.1515/aopf-2016-0014aopf-2016-0014A generalized, nonlinear regression approach to the length-weight relationship of European perch (Perca fluviatilis L.) from the Polish coast of the southern Baltic SeaDe Giosa Marcello0Czerniejewski Przemysław1Dipartimento di Matematica, Università di Bari via Orabona 4, 70125 Bari, ItalyDepartment of Fisheries Management West Pomeranian University of Technology in Szczecin ul. Krolewicza 4, 71-550 Szczecin, PolandLength-weight relationships in fish are important tools in fisheries management. The aim of this study was to estimate the growth curve W=aLb for European perch, Perca fluviatilis L., from the Polish coast of the southern Baltic Sea (ICES Subdivision 25). The data set comprised the total weights and total lengths of 827 specimens caught during the 2011-2013 period. The mean total length (TL) was 169.4 mm (range 100.0-310.0 mm), and the mean total weight was 83.9 g (range 11.3-553.2 g). First, a multiplicative error term and a linear regression approach to loglog-transformed data was considered. The following estimated values for the parameters were obtained: a = exp(-12.5323), b=3.25, s=0.07862. This approach was not successful in solving the common heterogeneity problem of the length-weight data. A generalized nonlinear regression approach to the original data was more suitable in our case. The estimated model was W = 3.83×10-6×L3.238 + ε, with ε~norm(0,0.0281×E[W|L]2×1.242). The estimated 95% confidence interval for b was (3.218, 3.259), and the growth was allometric. The perch from the coastal waters of the Baltic Sea (ICES Subdivision 25) was characterized by slightly better condition than that caught in inland waters and estuaries.https://doi.org/10.1515/aopf-2016-0014allometric growtheuropean perchl-w relationshipregression |
| spellingShingle | De Giosa Marcello Czerniejewski Przemysław A generalized, nonlinear regression approach to the length-weight relationship of European perch (Perca fluviatilis L.) from the Polish coast of the southern Baltic Sea Archives of Polish Fisheries allometric growth european perch l-w relationship regression |
| title | A generalized, nonlinear regression approach to the length-weight relationship of European perch (Perca fluviatilis L.) from the Polish coast of the southern Baltic Sea |
| title_full | A generalized, nonlinear regression approach to the length-weight relationship of European perch (Perca fluviatilis L.) from the Polish coast of the southern Baltic Sea |
| title_fullStr | A generalized, nonlinear regression approach to the length-weight relationship of European perch (Perca fluviatilis L.) from the Polish coast of the southern Baltic Sea |
| title_full_unstemmed | A generalized, nonlinear regression approach to the length-weight relationship of European perch (Perca fluviatilis L.) from the Polish coast of the southern Baltic Sea |
| title_short | A generalized, nonlinear regression approach to the length-weight relationship of European perch (Perca fluviatilis L.) from the Polish coast of the southern Baltic Sea |
| title_sort | generalized nonlinear regression approach to the length weight relationship of european perch perca fluviatilis l from the polish coast of the southern baltic sea |
| topic | allometric growth european perch l-w relationship regression |
| url | https://doi.org/10.1515/aopf-2016-0014 |
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