Determination of two-phase growth in demersal fish species from the southern Black Sea coast

Ayşe VAN, Aysun GÜMÜŞ

Abstract

The von Bertalanffy growth model (VBGM) is often preferred in the estimation of growth parameters and curves in bony fishes but is rarely evaluated for its accuracy. The aim of this study is to prove that the growth period of some demersal fish species is biphasic. Two growth models (two-phase growth model (TPGM) and VBGM) were used to estimate the growth parameters of the mentioned species and the results were compared by Akaike's Information Criterion (AIC). In 11 cases out of 15 which were tested for different sexes and combined sets, TPGM was determined to reveal more reliable estimations and provides better goodness of fit according to Akaike's Information Criterion (AIC), Δi, and w criteria. It is also found that VBGM tended to yield higher Lvalues and therefore should not be considered as the unique model. It is concluded that the two-phase growth model was the best model for overall cases in this study and it is recommended that comparisons should be performed among different models before the construction of a growth curve for any fish species.

Keywords

Akaike’s information criterion, Von Bertalanffy growth model, Growth model, Black Sea.

Full Text:

PDF

References

Ahmed, Z.F.; Hossain, M.Y. & Ohtomi, J. 2012. Modelling the growth of silver hatchet chela Chela cachius (Cyprinidae) from the Old Brahmaputra River in Bangladesh using multiple functions. Zoological Studies 51(3): 336-344.

Akaike, H. 1973. Information theory and an extension of the maximum likelihood principle. In: Petrov, B.N. & Csaki, F. (eds). The 2nd International Symposium on Information Theory Budapest, Hungary, Akademiai Kiado, pp. 267-281.

Akaike, H. 1981. Likelihood of a model and information criteria. Journal of Econometrics 16(1): 3-14.

Alós, J.; Palmer, M.; Alonso-Fernández, A. & Morales-Nin, B. 2010. Individual variability and sex related differences in the growth of Diplodus annularis (Linnaeus, 1758). Fisheries Research 101(1-2): 60-69.

Alp, A.; Kara, C.; Uckardes, F.; Carol, J. & García-Berthou, E. 2011. Age and growth of the European catfish (Silurus glanis) in a Turkish Reservoir and comparison with introduced populations. Reviews in Fish Biology and Fisheries 21(2): 283-294.

Antoszek, A. & Krzykawski, S. 2005. Growth pattern of flounder, Platichthys flesus [L.] from the Gulf of Gdansk [Southern Baltic Sea]. Acta Ichthyologica et Piscatoria 35(1): 51–60.

Araya, M. & Cubillos, L.A. 2006. Evidence of two-phase growth in elasmobranchs. Environmental Biology of Fishes 77(3-4): 293-300.

Braccini, J.M.; Gillanders, B.M. & Walker, T.I. 2005. Sources of variation in the feeding ecology of the piked spurdog (Squalus megalops): implications for inferring predator–prey interactions from overall dietary composition. ICES Journal of Marine Science 62(6): 1076-1094.

Braccini, J.M.; Gillanders, B.M. & Walker, T.I. 2005. Sources of variation in the feeding ecology of the piked spurdog (Squalus megalops): Implications for inferring predator–prey interactions from overall dietary composition. ICES Journal of Marine Science 62(6): 1076-1094.

Braccini, J.M.; Gillanders, B.M. & Walker, T.I. 2006. Determining reproductive parameters for population assessments of chondrichthyan species with asynchronous ovulation and parturition: Piked spurdog (Squalus megalops) as a case study. Marine and Freshwater Research 57(1): 105-119.

Burnham, K.P. & Anderson, D.R. 2002. Model Selection and Multimodel Inference: A practical information- theoretic approach. 2nd edition. Springer-Verlag, New York.

Burnham, K.P.; Anderson, D.R. & Huyvaert, K. P. 2011. AIC model selection and multimodel inference in behavioral ecology: Some background, observations, and comparisons. Behavioral Ecology and Sociobiology 65(1): 23-35.

Caputo, V.; Candi, G.; Colella, S. & Arneri, E. 2001. Reproductive biology of turbot (Psetta maxima) and brill (Scophthalmus rhombus) (Teleostei, Pleuronectiformes) in the Adriatic Sea. Italian Journal of Zoology 68(2): 107-113.

Cerdenares-Ladrón De Guevara, G.; Morales-Bojórquez, E. & Rodríguez-Sánchez, R. 2011. Age and growth of the sailfish Istiophorus platypterus (Istiophoridae) in the Gulf of Tehuantepec, Mexico. Marine Biology Research 7(5): 488-499.

Chen, Y.; Jackson, D.A. & Harvey, H.H. 1992. A comparison of von Bertalanffy and polynomial functions in modelling fish growth data. Canadian Journal of Fisheries and Aquatic Sciences 49(6): 1228-1235.

Chiang, W.C.; Sun, C.L.; Yeh, S.Z. & Su, W.C. 2004. Age and growth of sailfish (Istiophorus platypterus) in waters off eastern Taiwan. Fishery Bulletin 102(2): 251-263.

D’Alberto, B.M.; Chin, A.; Smart, J.J.; Baje, L. & White, W.T. 2017. Age, growth and maturity of oceanic whitetip shark (Carcharhinus longimanus) from Papua New Guinea. Marine and Freshwater Research 68(6): 1118-1129.

Danancher, D. & Garcia-Vazquez, E. 2007. Turbot - Scophthalmus maximus. In: Svåsand, T.; Crosetti, D.; García-Vázquez, E. & Verspoor, E. (eds). Genetic Impact of Aquaculture Activities on Native Populations. Genimpact Final Scientific Report (EU contract n. RICA-CT-2005-022802). European Commission, pp. 55-61.

Day, T. & Taylor, P.D. 1997. Von Bertalanffy's growth equation should not be used to model age and size at maturity. The American Naturalist 149(2): 381-393.

Enberg, K.; Dunlop, E. S., & Jørgensen, C. 2008. Ecological models. In: Jørgensen, S.E. & Fath B.D. (eds). Fish Growth. Philadelphia PA: Elsevier Inc. press. pp. 1564-1571.

Fiorentino, F.; Gancitano, V.; Gancitano, S.; Rizzo, P. & Ragonese, S. 2013. An updated two phase growth model for demersal fish with an application to red mullet (Mullus barbatus L., 1758) (Perciformes Mullidae) of the Mediterranean. Naturalista Siciliano 32(Suppl. 4): 529-542.

Hajji, F.; Ouannes-Ghorbel, A.; Ghorbel, M. & Jarboui, O. 2013. Reproductive biology of the black goby, Gobius niger (Teleostei: Gobiidae), in the Gulf of Gabes (Tunisia, Central Mediterranean). Journal of the Marine Biological Association of the United Kingdom 93(6): 1685-1693.

Higgins, R.M.; Diogo, H. & Isidro, E.J. 2015. Modelling growth in fish with complex life histories. Reviews in Fish Biology and Fisheries 25(3): 449-462.

Imsland, A.K.; Sunde, L.M.; Folkvord, A. & Stefansson, S.O. 1996. The interaction of temperature and fish size on growth of juvenile turbot. Journal of Fish Biology 49(5): 926-940.

Ismen, A. & Bingel, F. 1994. A preliminary study on reproductive biology of whiting, Merlangius merlangus euxinus, in the eastern Black Sea coast of Turkey. National Biology Congress Edirne, pp. 71-78.

Katsanevakis, S. & Maravelias, C.D. 2008. Modelling fish growth: multi‐model inference as a better alternative to a priori using von Bertalanffy equation. Fish and Fisheries 9(2): 178-187.

Katsanevakis, S. 2006. Modelling fish growth: model selection, Multi-model inference and model selection uncertainty. Fisheries Research 81(2-3): 229-235.

Kozłowski, J. & Teriokhin, A.T. 1999. Allocation of energy between growth and reproduction: The Pontryagin Maximum Principle solution for the case of age-and season-dependent mortality. Evolutionary Ecology Research 1(4): 423-441.

Letourneur, Y.; Ruitton, S. & Sartoretto, S. 2003. Environmental and benthic habitat factors structuring the spatial distribution of a summer infralittoral fish assemblage in the north-western Mediterranean Sea. Journal of the Marine Biological Association of the United Kingdom 83(1): 193-204.

Lin, Y.J. & Tzeng, W. N. 2009. Modelling the growth of Japanese eel Anguilla japonica in the lower reach of the Kao‐Ping River, southern Taiwan: An information theory approach. Journal of Fish Biology 75(1): 100-112.

Motulsky, H. & Christopoulos, A. 2004. Fitting Models to Biological Data Using Linear and Nonlinear Regression: a Practical Guide to Curve Fitting. Oxford University Press. 348 p.

Pauly, D. 1994. A framework for latitudinal comparisons of flatfish recruitment. Netherlands Journal of Sea Research 32(2): 107-118.

Ragonese, S. 2004. Growth and senescence interaction in fish: the state of art. Biologia Marina Mediterranea 11(2): 91-106.

Ricker, W.E. 1975. Computation and interpretation of biological statistics of fish populations. Bulletin of the Fisheries Research Board of Canada, 367 pp.

Ricker, W.E. 1979. Growth rates and models. Fish Physiology 8: 677-743.

Snover, M.L.; Watters, G.M. & Mangel, M. 2005. Interacting effects of behavior and oceanography on growth in salmonids with examples for coho salmon (Oncorhynchus kisutch). Canadian Journal of Fisheries and Aquatic Sciences 62(6):1219-1230.

Soriano, M.; Moreau, J.; Hoenig, J.M. & Pauly, D. 1992. New functions for the analysis of two-phase growth of juvenile and adult fishes, with application to Nile perch. Transactions of the American Fisheries Society 121(4): 486-493.

Suer, S. 2016. Comparative analysis of population parameters by age-based methods, in whiting (Merlangius merlangus L., 1758) and red mullet (Mullus barbatus L., 1758) stocks under different fishing pressures in Black Sea. PhD thesis. Department of Biology, Ondokuz Mayis University, Samsun, Turkey.

Vincenzi, S.; Mangel, M.; Crivelli, A.J.; Munch, S. & Skaug, H.J. 2014. Determining individual variation in growth and its implication for life-history and population processes using the Empirical Bayes method. PLoS Computational Biology 10(9): e1003828.

von Bertalanffy, L. 1938. A quantitative theory of organic growth. Human Biology 10:181–213.

Wang, X.A. & Ma, A. 2016. Comparison of four nonlinear growth models for effective exploration of growth characteristics of turbot Scophthalmus maximus fish strain. African Journal of Biotechnology 15(40): 2251-2258.

Zhu, L.; Li, L. & Liang, Z. 2009. Comparison of six statistical approaches in the selection of appropriate fish growth models. Chinese Journal of Oceanology and Limnology 27(3): 45.

Refbacks

  • There are currently no refbacks.