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Application of a bioenergetics growth model for European anchovy (Engraulis encrasicolus) linked with a lower trophic level ecosystem model

  • Ecosystems and Sustainability
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Abstract

A bioenergetics model is implemented for European anchovy (Engraulis encrasicolus) and applied to the north-eastern Aegean Sea (eastern Mediterranean Sea). The model reproduces the growth of anchovy in a one-way linked configuration with a lower trophic level (LTL) ecosystem model. The LTL model provides densities for three zooplankton functional groups (heterotrophic flagellates, microzooplankton and mesozooplankton) which serve as available energy via consumption for the anchovy model. Our model follows the basic structure of NEMURO.FISH type models (North Pacific Ecosystem Model for Understanding Regional Oceanography for Including Saury and Herring). Several model parameters were specific for the Mediterranean or the Black Sea anchovy and some others were adopted from related species and NEMURO.FISH due to lack of biological information on E. encrasicolus. Simulation results showed that the fastest growth rate occurs during spring and the slowest growth rate from August to December. Zooplankton abundance during autumn was low implying that decreased prey density lead to a reduction in anchovy weight, especially for the age-3 class. Feeding parameters were adjusted to adequately fit the model growth estimates to available weight-at-age data. A detailed sensitivity analyses is conducted to evaluate the importance of the biological processes (consumption, respiration, egestion, specific dynamic action, excretion and egg production) and their parameters to fish growth. The most sensitive parameters were the intercept and exponent slope of the weight-dependent consumption and respiration process equations. Fish weight was fairly sensitive to temperature-dependent parameters.

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References

  • ANREC, 2006. Association of Physical and Biological Processes Acting on Recruitment and Post-Recruitment Stages of Anchovy. Report No. QLRT-2001-01216.

  • Bakun, A., 1996. Patterns in the Ocean: Ocean Processes and Marine Population Dynamics. California Sea Grant College System, Mexico.

    Google Scholar 

  • Baretta, J. W., W. Ebenhoh & P. Ruardij, 1995. The European Regional Seas Ecosystem Model, a complex marine ecosystem model. Netherlands Journal of Sea Research 33: 233–246.

    Article  Google Scholar 

  • Basilone, G., 2004. Linking habitat conditions and growth in the European anchovy (Engraulis encrasicolus). Fisheries Research 68: 9–19.

    Article  Google Scholar 

  • Basilone, G., 2006. Effect of habitat conditions on reproduction of the European anchovy (Engraulis encrasicolus) in the Strait of Sicily. Fisheries Oceangraphy 15: 271–280.

    Article  Google Scholar 

  • Batty, R. S., J. H. S. Blaxter & J. M. Richard, 1990. Light intensity and the feeding behaviour of herring, Clupea harengus. Marine Biology 107: 383–388.

    Article  Google Scholar 

  • Blaxter, J. H. S. & J. R. Hunter, 1982. The biology of the clupeoid fishes. Advances in Marine Biology 20: 1–223.

    Article  Google Scholar 

  • Blumberg, A. F. & G. L. Mellor, 1983. Diagnostic and prognostic numerical circulation studies of the South Atlantic Bight. Journal of Geophysical Research 88: 4579–4592.

    Article  Google Scholar 

  • Bryant, A. D., M. R. Heath, N. Broekhuizen, J. G. Ollason, W. S. C. Gurney & S. P. R. Greenstreet, 1995. Modelling the predation, growth and population dynamics of fish within a spatially-resolved shelf-sea ecosystem model. Netherlands Journal of Sea Research 33(3/4): 407–421.

    Article  Google Scholar 

  • Conway, D. V. P., S. H. Coombs & C. Smith, 1998. Feeding of anchovy Engraulis encrasicolus larvae in the North Western Adriatic Sea in response to changing hydrobiological conditions. Marine Ecology Progress Series 175: 35–49.

    Article  Google Scholar 

  • Edwards, A. M. & A. Yool, 2000. The role of higher predation in plankton population models. Journal of Plankton Research 22: 1085–1112.

    Article  Google Scholar 

  • Fuiman, L. A. & R. G. Werner, 2002. Fishery Science: The Unique Contributions of Early Life Stages. Blackwell Science Ltd, Oxford.

    Google Scholar 

  • Giannoulaki, M., A. Machias, S. Somarakis & N. Tsimenides, 2005. The spatial distribution of anchovy and sardine in the northern Aegean Sea in relation to hydrographic regimes. Belgian Journal of Zoology 135: 151–156.

    Google Scholar 

  • Giannoulaki, M., V. D. Valavanis, A. Palialexis, K. Tsagarakis, A. Machias, S. Somarakis & C. Papaconstantinou, 2008. Modelling the presence of anchovy Engraulis encrasicolus in the Aegean Sea during early summer, based on satellite environmental data. Hydrobiologia 612: 225–240.

    Article  Google Scholar 

  • Gibson, R. N. & I. A. Ezzi, 1992. The relative profitability of particulate- and filter-feeding in the herring, Clupea harengus L. Journal of Fish Biology 40: 577–590.

    Article  Google Scholar 

  • Gorsky, G., S. Dallot, J. Sardou, R. Fenaux, C. Carre & I. Palazzoli, 1988. C and N composition of some northwestern Mediterranean zooplankton and micronekton species. Journal of Experimental Marine Biology and Ecology 124: 133–144.

    Article  CAS  Google Scholar 

  • Huggett, J., P. Fréon, C. Mullon & P. Penven, 2003. Modelling the transport success of anchovy Engraulis encrasicolus eggs and larvae in the southern Benguela: the effect of spatio-temporal spawning patterns. Marine Ecology Progress Series 250: 247–262.

    Article  Google Scholar 

  • Hunter, J. R. & H. Dorr, 1982. Thresholds for Filter Feeding Northern Anchovy, Engraulis mordax. CalCOFI Report No. 23:198-204.

  • Huse, G. & I. Ellingsen, 2008. Capelin migrations and climate change—a modelling analysis. Climatic Change 87: 177–197.

    Article  Google Scholar 

  • Isari, S., A. Ramfos, S. Somarakis, C. Koutsikopoulos, A. Kallianiotis & N. Fragopoulu, 2006. Mesozooplankton distribution in relation to hydrology of the Northeastern Aegean Sea, Eastern Mediterranean. Journal of Plankton Research 28: 241–255.

    Article  Google Scholar 

  • Isari, S., S. Psarra, P. Pitta, P. Mara, M. O. Tomprou, A. Ramfos, S. Somarakis, A. Tsepelides, C. Koutsikopoulos & N. Fragopoulou, 2007. Differential patterns of mesozooplankters’ distribution in relation to physical and biological variables of the northeastern Aegean Sea (eastern Mediterranean). Marine Biology 151: 1035–1050.

    Article  Google Scholar 

  • Isari, S., N. Fragopoulou & S. Somarakis, 2008. Interranual variability in horizontal patterns of larval fish assemblages in the northeastern Aegean Sea (eastern Mediterranean) during early summer. Estuarine, Coastal and Shelf Science 79: 607–619.

    Article  Google Scholar 

  • Ito, S. I., M. J. Kishi, Y. Kurita, Y. Oozeki, Y. Yamanaka, B. A. Megrey & F. E. Werner, 2004. Initial design for a fish bioenergetics model of Pacific saury coupled to a lower trophic ecosystem model. Fisheries Oceanography 13: 111–124.

    Article  Google Scholar 

  • James, A. G. & K. P. Findlay, 1989. Effect of particle size and concentration on feeding behaviour, selectivity and rates of food ingestion by the cape anchovy Engraulis capensis. Marine Ecology Progress Series 50: 275–294.

    Article  Google Scholar 

  • James, A. G. & T. Probyn, 1989. The relationship between respiration rate, swimming speed and feeding behaviour in the Cape anchovy Engraulis capensis Gilchrist. Journal of Experimental Marine Biology and Ecology 131: 81–100.

    Article  Google Scholar 

  • James, A. G., T. Probyn & L. J. Seiderer, 1989. Nitrogen excretion and absorption efficiencies of the Cape anchovy Engraulis capensis Gilchrist fed upon a variety of plankton diets. Journal of Experimental Marine Biology and Ecology 131: 101–124.

    Article  Google Scholar 

  • Kitchell, J. F., D. J. Stewart & D. Weininger, 1997. Applications of a bioenergetics model to yellow perch (Perca flavescens) and walleye (Stizostedion vitreum vitreum). Journal of the Fisheries Research Board of Canada 34: 1922–1935.

    Article  Google Scholar 

  • Korres, G., A. Lascaratos, E. Hatziapostolou & P. Katsafados, 2002. Towards an ocean forecasting system for the Aegean Sea. The Global Atmosphere and Ocean System 8(2–3): 191–218.

    Google Scholar 

  • Kourafalou, V. H. & K. Barbopoulos, 2003. High resolution simulations on the North Aegean Sea seasonal circulation. Annales Geophysicae 21: 251–265.

    Article  Google Scholar 

  • Kourafalou, V. H. & K. Tsiaras, 2007. A nested circulation model for the North Aegean Sea. Ocean Science 3: 1–16.

    Article  Google Scholar 

  • Laurence, G. C., 1976. Caloric content of some North Atlantic calanoid copepods. Fisheries Bulletin US 78: 218–220.

    Google Scholar 

  • Lisovenko, L. A. & D. P. Andrianov, 1996. Reproductive biology of anchovy (Engraulis encrasicolus ponticus Alexandrov 1927) in Black Sea. Scientia Marina 60: 209–218.

    Google Scholar 

  • Lleonart, J. & F. Maynou, 2003. Fish stock assessment in the Mediterranean: state of the art. Scienta Marina 67: 37–49.

    Google Scholar 

  • Luo, J. & B. S. Brandt, 1993. Bay anchovy Anchoa mitchilli production and consumption in mid-Chesapeake Bay based on a bioenergetics model and acoustic measures of fish abundance. Marine Ecology Progress Series 98: 223–236.

    Article  Google Scholar 

  • Lykousis, V., G. Chronis, A. Tselepides, N. B. Price, A. Theocharis, I. Siokou-Frangou, F. Van Wambeke, R. Donavaro, S. Stavrakakis, G. Duineveld, D. Georgopoulos, L. Ignatiades, E. Souvermezoglou & F. Voutsinou-Taliadourou, 2002. Major outputs of the recent multidisciplinary biogeochemical researches undertaken in the Aegean Sea. Journal of Marine Systems 33–34: 313–334.

    Article  Google Scholar 

  • Machias, A., S. Somarakis, P. Drakopoulos, A. Magoulas & C. Koutsikopoulos, 2000. Evaluation of the Southern Greek Anchovy Stocks Project 97-0048. Report No. Final Report, Institute of Marine Biology of Crete.

  • Magoulas, A., N. Tsimenides & E. Zouros, 1996. Mitochondrial DNA phylogeny and the reconstruction of the population history of a species: the case of the European Anchovy (Engraulis encrasicolus). Molecular Biology and Evolution 13: 178–190.

    PubMed  CAS  Google Scholar 

  • Megrey, B. A., K. A. Rose, R. A. Klumb, D. E. Hay, F. E. Werner, D. L. Eslinger & S. L. Smith, 2007. A bioenergetics-based population dynamics model of Pacific herring (Clupea harengus pallasi) coupled to a lower trophic level nutrient-phytoplankton-zooplankton model: description, calibration, and sensitivity analysis. Ecological Modelling 202: 144–164.

    Article  Google Scholar 

  • Mellor, G. L. & T. Yamada, 1982. Development of a turbulence closure model for geophysical fluid problems. Review Geophysics and Space Physics 20: 851–875.

    Article  Google Scholar 

  • Miller, T. J., 2007. Contribution of individual-based coupled physical–biological models to understanding recruitment in marine fish populations. Marine Ecology Progress Series 347: 127–138.

    Article  Google Scholar 

  • Nittis, K., L. Perivoliotis, G. Korres, C. Tziavos & I. Thanos, 2006. Operational monitoring and forecasting for marine environmental applications in the Aegean Sea. Environmental Modelling and Software 21: 243–257.

    Article  Google Scholar 

  • Oguz, T., B. Salihoglu & B. Fach, 2008. A coupled plankton-anchovy population dynamics model assessing nonlinear controls of anchovy and gelatinous biomass in the Black Sea. Marine Ecology Progress Series 369: 229–256.

    Article  Google Scholar 

  • Okunishi, T., Y. Yamanaka & S. Ito, 2009. A simulation model for Japanese sardine (Sardinops melanostictus) migrations in the western North Pacific. Ecological Modelling 220: 462–479.

    Article  Google Scholar 

  • Palomera, I., M. P. Olivar, J. Salat, A. Sabatis, M. Coll, A. García & B. Morales-Nin, 2007. Small pelagic fish in the NW Mediterranean Sea: an ecological review. Progress in Oceanography 74: 377–396.

    Article  Google Scholar 

  • Papadopoulos, A., P. Katsafados, G. Kallos & S. Nickovic, 2002. The weather forecasting system for Poseidon—an overview. The Global Atmosphere and Ocean System 8: 219–237.

    Article  Google Scholar 

  • Pecquerie, L., P. Petitgas & S. Kooijman, 2009. Modelling fish growth and reproduction in the context of the dynamic energy budget theory to predict environmental impact on anchovy spawning duration. Journal of Sea Research 62: 93–105.

    Article  Google Scholar 

  • Pepin, P., J. A. Koslow & S. Pearre, 1988. Laboratory study of foraging by Atlantic mackerel, Scomber scombrus, on natural zooplankton assemblages. Canadian Journal of Fisheries and Aquatic Sciences 45: 879–887.

    Article  Google Scholar 

  • Pertierra, J. P., J. Lleonart & N. C. H. Lo, 1997. Application of a stage-specific matrix model and length-cohort based analysis to assess the anchovy fishery in Catalan coastal waters (NW Mediterranean Sea). Fisheries Research 30: 127–137.

    Article  Google Scholar 

  • Petihakis, G., G. Triantafyllou, I. J. Allen, I. Hoteit & C. Dounas, 2002. Modelling the spatial and temporal variability of the Cretan Sea ecosystem. Journal of Marine Systems 36: 173–196.

    Article  Google Scholar 

  • Petihakis, G., G. Triantafyllou, K. Tsiaras, G. Korres, A. Pollani & I. Hoteit, 2009. Eastern Mediterranean biogeochemical flux model—simulations of the pelagic ecosystem. Ocean Science 5: 29–46.

    Article  Google Scholar 

  • Plagányi E. E., 2007. Models for an Ecosystem Approach to Fisheries FAO Fisheries Technical Paper. Report No. 477, FAO, Rome.

  • Plounevez, S. & G. Champalbert, 2000. Diet, feeding behaviour and trophic activity of the anchovy (Engraulis encrasicolus L) in the Gulf of Lions (Mediterranean Sea). Oceanologica Acta 23: 175–192.

    Article  Google Scholar 

  • Regner, S., 1996. Effects of environmental changes on early stages and reproduction of anchovy in the Adriatic Sea. Scientia Marina 60: 167–177.

    Google Scholar 

  • Rose, K. A., E. S. Rutherford, D. S. McDermot, J. L. Forney & E. L. Miles, 1999. Individual-based model of yellow perch and walleye populations in Oneida Lake. Ecological Monographs 69: 127–154.

    Article  Google Scholar 

  • Rose, K. A., F. Werner, B. A. Megrey, M. N. Aita, Y. Yamanaka & D. Hay, 2007. Simulated herring growth responses in the Northeastern Pacific to historic temperature and zooplankton conditions generated by the 3-dimensional NEMURO nutrient-phytoplankton-zooplankton model. Ecological Modelling 202: 184–195.

    Article  Google Scholar 

  • Rossi, S., A. Sabatés, M. Latasa & E. Reyes, 2006. Lipid biomarkers and trophic linkages between phytoplankton, zooplankton and anchovy (Engraulis encrasicolus) larvae in the NW Mediterranean. Journal of Plankton Research 28: 551–562.

    Article  CAS  Google Scholar 

  • Siokou-Frangou, I., M. Bianchi, U. Christaki, E. D. Christou, A. Giannakourou, O. Gotsis, L. Ignatiades, K. Pagou, P. Pitta, S. Psarra, E. Souvermezoglou, F. Van Wambeke & V. Zervakis, 2002. Carbon flow in the planktonic food web along a gradient of oligotrophy in the Aegean Sea (Mediterranean Sea). Journal of Marine Systems 33–34: 335–353.

    Article  Google Scholar 

  • Somarakis, S., 1999. Ichthyoplankton of the Northeastern Aegean Sea with Emphasis on Anchovy Engraulis encrasicolus (Linnaeus, 1758) (June 1993, 1994, 1995, 1996). University of Crete (in Greek with English Abstract).

  • Somarakis, S., 2005. Marked interannual differences in reproductive parameters and daily egg production of anchovy in the northern Aegean Sea. Belgian Journal of Zoology 135: 247–252.

    Google Scholar 

  • Somarakis, S. & N. Nikolioudakis, 2007. Oceanographic habitat, growth and mortality of larval anchovy (Engraulis encrasicolus) in the northern Aegean Sea (eastern Mediterranean). Marine Biology 152: 1143–1158.

    Article  Google Scholar 

  • Somarakis, S., I. Palomera, A. Garcia, L. Quintanilla, C. Koutsikopoulos, U. Andrés & L. Motos, 2004. Daily egg production of anchovy in European waters. ICES Journal of Marine Science 61: 944–958.

    Article  Google Scholar 

  • Somarakis, S., D. E. Tsianis, A. Machias & K. I. Stergiou, 2006. An overview of biological data related to anchovy and sardine stocks in Greek waters. In Palomares, M. L. D., K. I. Stergiou & D. Pauly (eds), Fishes in Database and Ecosystems Fisheries Centre Research Reports 14. Fisheries Centre, University of British Columbia: 56–64.

    Google Scholar 

  • Somarakis, S., A. Machias, M. Giannoulaki, A. Siapatis, M. Torre, K. Anastasopoulou, V. Vassilopoulou, A. Kalianiotis & C. Papaconstantinou, 2007. Icthyoplanktonic and acoustic biomass estimates of anchovy in the Aegean Sea (June 2003, 2004, 2005, 2006). Working Document Presented in the Working group on Small Pelagic Species Sub-Committee on Stock Assessment, GMCM Athens, Greece (http://wwwicmcsices/rec/projects/scsa/).

  • Stewart, D. J. & F. P. Binkowski, 1986. Dynamics of consumption and food conversion by Lake Michigan alewives: an energetics-modeling synthesis. Transactions of the American Fisheries Society 115: 643–651.

    Article  Google Scholar 

  • Stewart, D. J., D. Weininger, D. V. Rottiers & T. A. Edsall, 1983. An energetics model for lake trout, Salvelinus namaycush: application to the Lake Michigan population. Canadian Journal of Fish and Aquatic Science 40: 681–698.

    Article  Google Scholar 

  • Tirelli, V., D. Borme, F. Tulli, M. Cigar, S. F. Umani & S. B. Brandt, 2006. Energy density of anchovy Engraulis encrasicolus L in the Adriatic Sea. Journal of Fish Biology 68: 982–989.

    Article  Google Scholar 

  • Travers, M., Y.-J. Shin, S. Jennings & P. Cury, 2007. Towards end-to-end models for investigating the effects of climate and fishing in marine ecosystems. Progress in Oceanography 75: 751–770.

    Article  Google Scholar 

  • Triantafyllou, G., G. Korres, I. Hoteit, G. Petihakis & A. C. Banks, 2007. Assimilation of ocean colour data into a biochemical flux model of the Eastern Mediterranean Sea. Ocean Science 3(3): 397–410.

    Article  Google Scholar 

  • Tudela, S. & I. Palomera, 1997. Trophic ecology of the European anchovy Engraulis encrasicolus in the Catalan Sea (northwest Mediterranean). Marine Ecology Progress Series 160: 121–134.

    Article  Google Scholar 

  • Tudela, S. & I. Palomera, 1999. Potential effect of an anchovy-mediated pump on the vertical availability of nitrogen for primary production in the Catalan Sea (northwest Mediterranean). Journal of Sea Research 42: 83–92.

    Article  CAS  Google Scholar 

  • Tudela, S., I. Palomera & G. Quilez, 2002. Feeding of anchovy Engraulis encrasicolus larvae in the northwest Mediterranean. Journal of Marine Biological Association of the UK 82: 349–350.

    Article  Google Scholar 

  • Tytler, P. & P. Calow, 1985. Fish Energetics: New Perspectives. Johns Hopkins University Press, Baltimore.

    Google Scholar 

  • Ursin, E., 1967. A mathematical model of some aspects of fish growth, respiration and mortality. Journal of the Fisheries Research Board of Canada 24: 2355–2453.

    Article  Google Scholar 

  • Valdés, E. S., 1993. The energetics and evolution of intraspecific predation (egg cannibalism) in the anchovy Engraulis capensis. Marine Biology 115: 301–308.

    Article  Google Scholar 

  • Valiela, I., 1995. Marine Ecological Processes, 2nd ed. Springer, New York: 686.

    Google Scholar 

  • Van der Lingen, C. D., L. Hutchings & J. G. Field, 2006. Comparative trophodynamics of anchovy Engraulis encrasicolus and sardine Sardinops sagax in the southern Benguela: are species alternations between small pelagic fish trophodynamically mediated? African Journal of Marine Science 28: 465–477.

    Article  Google Scholar 

  • Vasquez, A. V., 1989. Energetics, trophic relationships and chemical composition of bay anchovy, Anchoa mitchilli, in the Chesapeake Bay. University of Maryland, College Park.

    Google Scholar 

  • Wang, S. B. & E. D. Houde, 1994. Energy storage and dynamics in bay anchovy Anchoa mitchilli. Marine Biology 121: 219–227.

    Article  Google Scholar 

  • Zervakis, V. & D. Georgopoulos, 2002. Hydrology and circulation in the North Aegean (Eastern Mediterranean) throughout 1997–1998. Mediterranean Marine Science 3: 5–19.

    Google Scholar 

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Acknowledgments

We would like to express our appreciation to Dr. A. Machias and Dr. M. Giannoulaki for providing important information on the biology of anchovy. The authors are thankful to two anonymous reviewers for their careful reading of our article. This research was supported by the SESAME project, EC Contract No GOCE-036949, funded by the European Commission’s Sixth Framework Programme under the priority ‘Sustainable Development, Global Change and Ecosystems’. S. Ito’s participation in this research was supported by SUPRFISH Project and Global Warming Project of Ministry of Agriculture, Forestry and Fisheries Japan. B. A. Megrey’s participation in this research is noted as contribution FOCI-0658 to NOAA’s Ecosystem and Fisheries-Oceanography Coordinated Investigations.

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  1. Hellenic Centre for Marine Research, 19013, Anavissos, Greece

    Dimitris V. Politikos, George Triantafyllou, George Petihakis, Kostas Tsiaras & Stylianos Somarakis

  2. Department of Mathematics, School of Applied Mathematical and Physical Sciences, National Technical University of Athens, Zografou Campus, 157 80, Athens, Greece

    Dimitris V. Politikos

  3. Tohoku National Fisheries Research Institute, Fisheries Research Agency, 3-27-5 Shinhama-cho, Shiogama, Miyagi, 985-0001, Japan

    Shin-Ichi Ito

  4. National Oceanic and Atmospheric Administration, National Marine Fisheries Service, Alaska Fisheries Science Center, 7600 Sand Point Way NE, Seattle, WA, 98115, USA

    Bernard A. Megrey

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  1. Dimitris V. Politikos
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Politikos, D.V., Triantafyllou, G., Petihakis, G. et al. Application of a bioenergetics growth model for European anchovy (Engraulis encrasicolus) linked with a lower trophic level ecosystem model. Hydrobiologia 670, 141–163 (2011). https://doi.org/10.1007/s10750-011-0674-8

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