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ICES Journal of Marine Science: Journal du Conseil Advance Access originally published online on April 7, 2009
ICES Journal of Marine Science: Journal du Conseil 2009 66(5):826-838; doi:10.1093/icesjms/fsp067
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© 2009 International Council for the Exploration of the Sea. Published by Oxford Journals. All rights reserved. For Permissions, please email: journals.permissions@oxfordjournals.org

Modelling and simulations of the migration of pelagic fish

Alethea Barbaro1, Baldvin Einarsson1,2,4, Björn Birnir1,2,4, Sven Sigurðsson3, Héðinn Valdimarsson5, Ólafur Karvel Pálsson5, Sveinn Sveinbjörnsson5 and Þorsteinn Sigurðsson5

1 Department of Mathematics, South Hall, University of California, Santa Barbara, CA 93106-3080, USA
2 Faculty of Physical Sciences, University of Iceland, Hjarðarhaga 2-6, IS-101 Reykjavík, Iceland
3 Faculty of Industrial Engineering, Mechanical Engineering and Computer Science, University of Iceland, Hjarðarhaga 2-6, IS-101 Reykjavík, Iceland
4 Center for Complex and Nonlinear Science, 6513 South Hall, University of California, Santa Barbara, CA 93106, USA
5 Marine Research Institute of Iceland, Skúlagötu 4, IS-121, Reykjavík, Iceland

Correspondence to B. Einarsson: tel: +354 692 9493; fax: +354 525 4632; e-mail: baldvine{at}hi.is.

Barbaro, A., Einarsson, B., Birnir, B., Sigurðsson, S., Valdimarsson, H., Pálsson, Ó. K., Sveinbjörnsson, S., and Sigurðsson, Þ. 2009. Modelling and simulations of the migration of pelagic fish. – ICES Journal of Marine Science, 66: 826–838.

We applied an interacting particle model to the Icelandic capelin stock to reproduce the spawning migration route for three different years, successfully predicting the route for 2008. Using available temperature data and approximated currents, and without using artificial forcing terms or a homing instinct, our model was able to reproduce the observed migration routes from all 3 years. By a sensitivity analysis, we identified oceanic temperature and the balance between the influence of interaction among particles and the particles' response to temperature as the control parameters most significant in determining the migration route. One significant contribution of this paper is the inclusion of orders of magnitude more particles than similar models, which affects the global behaviour of the model by propagating information about surrounding temperature through the school more efficiently. To maintain the same dynamics between different simulations, we argue a linear relationship between the time-step, radii of interactions, and the spatial resolution, and we argue that these scale as N–1/2, where N is the number of particles.

Keywords: collective motion, fish migration, Icelandic capelin, interacting particle model, Mallotus villosus

Received 17 June 2008; accepted 4 February 2009; advance access publication 7 April 2009.


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