A simulation model for capelin migrations in the North Atlantic

Nonlinear Analysis: Real World Applications

Volumn 6, Issue 4, 2005, Pages 747-771

  Magnússon, Kjartan G ^a   Sigurdsson, Sven Th ^a   Dereksdóttir, Eva Hlín ^a  

^a UNIVERSITY OF ICELAND   (Iceland)

Author keywords

Advection diffusion equation; Capelin; Environmental fields; Fish migration

Indexed keywords

BOUNDARY CONDITIONS; COMPUTER SIMULATION; DIFFERENTIAL EQUATIONS; MARINE BIOLOGY; OCEAN CURRENTS; PROBABILITY DENSITY FUNCTION; TEMPERATURE DISTRIBUTION;

ADVECTION-DIFFUSION EQUATION; CAPELIN; ENVIRONMENTAL FIELDS; FISH MIGRATION;

MATHEMATICAL MODELS;

EID: 15844377458     PISSN: 14681218     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.nonrwa.2004.12.014     Document Type: Article

References (23)

1. P. Babak, K.G. Magnússon, S.Th. Sigurdsson, Dynamics of group formation in collective motion of organisms, Math. Med. Biol. 21 (2004) 269-292.
2. R.J.H. Beverton, S.J. Holt, On the dynamics of exploited fish populations, Fish. Invest. Ser. II. Mar. Fish. G.B. Minist. Agric. Fish. Food 19 (1957).
3. A. Czirok, T. Vicsek, Collective behaviour of interacting self-propelled particles, Physica A 281 (2000) 17-29.
4. E.H. Dereksdóttir, K.G. Magnússon, S. Sigurdsson, Simulations of migrations of capelin in Icelandic waters based on temperature-, current- and potential fields, Report RH-17-2003, Science Institute, University of Iceland, Available at http://www.raunvis.hi.is/ ~kgm/, 2003.
5. R.B. Deriso, R.G. Punsly, W.H. Bayliff, A Markov movement model of yellowfin tuna in the Eastern Pacific Ocean and some analysis for international management, Fish. Res. 11 (1991) 375-395.
6. H. Gjøsæter, The population biology and exploitation of capelin (Mallotus villosus) in the Barents Sea, Sarsia 83 (1998) 453-496.
7. S. Hubbard, P. Babak, S. Sigurdsson, K.G. Magnússon, A model of the formation of fish schools and migrations of fish, Ecol. Model. 174 (2004) 359-374.
8. A.D. MacCall, Dynamic Geography of Marine Fish Populations, University of Washington Press, Seattle 1990
9. K.G. Magnússon, S. Sigurdsson, P. Babak, S.F. Gudmundsson, E.H. Derekesdóttir, A continuous density Kolmogorov type model for a migrating fish stock, Discr. Con. Dyn. Syst. Ser. B 4 (3) (2004) 695-704.
10. O.A. Misund, H. Vilhjálmsson, S.H. i Jákupsstovu, I. Røttingen, S. Belikov, Ó. Ástthorsson, J. Blindheim, J. Jónsson, A. Krysov, S.A. Malmberg, S. Sveinbjørnsson, Distribution, migration and abundance of Norwegian spring spawning herring in relation to the temperature and zooplankton biomass in the Norwegian Sea as recorded by coordinated surveys in spring and summer 1996, Sarsia 83 (1998) 117-127.
11. H.-S. Niwa, Newtonian dynamical approach to fish schooling, J. Theor. Biol. 181 (1996) 47-63.
12. B. Øksendal, Stochastic Differential Equations, Springer, Berlin, 2000.
13. A. Okubo, Dynamical aspects of animal grouping: Swarms, schools, flocks and herds, Adv. Biophys. 22 (1986) 1-94.
14. A. Okubo, S.L. Levin, Diffusion and Ecological Problems: Modern Perspectives, Springer, Berlin, 2001.
15. B.L. Partridge, The structure and function of fish schools, Sci. Am. 246 (1982) 90-99.
16. T.J. Quinn, R.B. Deriso, Quantitative Fish Dynamics, Oxford University Press, Oxford, 1999.
17. M.J. Reed, J.G. Balchen, A multidimensional continuum model of the fish dynamics and behaviour: Application to the Barents Sea capelin (Mallotus villosus), Model. Identification Control 3 (1982) 65-109.
18. J.R. Sibert, J. Hampton, D.A. Fournier, P.J. Bills, An advection-diffusion-reaction model for the estimation of fish movement parameters from tagging data with application to skipjack tuna (Katsuwonus pelamis), Can. J. Fish Aquat. Sci. 56 (1999) 925-938.
19. S. Sigurdsson, K.G. Magnússon, P. Babak, S.F. Gudmundsson, E.H. Dereksdóttir, Dynamic continuous model of fish migrations, Report RH-25-2002, Science Institute, University of Iceland, http://www. raunvis.hi.is/~kgm/, 2002.
20. S. Tjelmeland, B. Bogstad, Biological modelling, in: T. Rødsethe (Ed.), Models for Multispecies Management, Physica-Verlag, Wurzburg, 1998.
21. H. Vilhjálmsson, The Icelandic capelin stock, J. Mar. Res. Inst. Reykjavik XIII (1) (1994).
22. H. Vilhjálmsson, Capelin (Mallotus villosus) in the Iceland-East Greenland-Jan Mayen ecosystem, ICES J. Mar. Sci. 59 (2002) 870-883.
23. H. Vilhjálmsson, H.N. Stefánsson, A.B. Lund, H. Sigurgeirsson, H. Björnsson, Capelin migrations, in: G. Stefánsson, Ó.K. Pálsson (Eds.), BORMICON-A Boreal Migration and Consumption Model, Marine Research Institute Report 58, 1997.