Model of Collective Fish Behavior with Hydrodynamic Interactions.

Fish schooling is often modeled with self-propelled particles subject to phenomenological behavioral rules. Although fish are known to sense and exploit flow features, these models usually neglect hydrodynamics. Here, we propose a novel model that couples behavioral rules with far-field hydrodynamic interactions. We show that (1) a new "collective turning" phase emerges, (2) on average, individuals swim faster thanks to the fluid, and (3) the flow enhances behavioral noise. The results of this model suggest that hydrodynamic effects should be considered to fully understand the collective dynamics of fish.

[1]  J. Toner,et al.  Hydrodynamics and phases of flocks , 2005 .

[2]  S. Ramaswamy,et al.  Hydrodynamics of soft active matter , 2013 .

[3]  Dirk Helbing,et al.  How simple rules determine pedestrian behavior and crowd disasters , 2011, Proceedings of the National Academy of Sciences.

[4]  Daniel S. Calovi,et al.  Swarming, schooling, milling: phase diagram of a data-driven fish school model , 2013, 1308.2889.

[5]  Eva Kanso,et al.  Dipole Interactions in Doubly Periodic Domains , 2013, J. Nonlinear Sci..

[6]  Hassan Masoud,et al.  Hydrodynamic schooling of flapping swimmers , 2015, Nature Communications.

[7]  I. Couzin,et al.  Self-Organization and Collective Behavior in Vertebrates , 2003 .

[8]  D. Weihs.  Hydromechanics of Fish Schooling , 1973, Nature.

[9]  Eric Parmentier,et al.  Fish lateral system is required for accurate control of shoaling behaviour , 2010, Animal Behaviour.

[10]  G. Ódor.  Universality classes in nonequilibrium lattice systems , 2002, cond-mat/0205644.

[11]  Guy Theraulaz,et al.  Deciphering Interactions in Moving Animal Groups , 2012, PLoS Comput. Biol..

[12]  I. Aranson,et al.  Viscosity of bacterial suspensions: hydrodynamic interactions and self-induced noise. , 2011, Physical review. E, Statistical, nonlinear, and soft matter physics.

[13]  A. Czirók,et al.  Collective Motion , 1999, physics/9902023.

[14]  Guy Theraulaz,et al.  Disentangling and modeling interactions in fish with burst-and-coast swimming reveal distinct alignment and attraction behaviors , 2017, PLoS Comput. Biol..

[15]  Guy Theraulaz,et al.  From behavioural analyses to models of collective motion in fish schools , 2012, Interface Focus.

[16]  Cécile Appert-Rolland,et al.  Traffic Instabilities in Self-Organized Pedestrian Crowds , 2012, PLoS Comput. Biol..

[17]  G. Lauder,et al.  Fish Exploiting Vortices Decrease Muscle Activity , 2003, Science.

[18]  G. Lauder,et al.  Passive propulsion in vortex wakes , 2006, Journal of Fluid Mechanics.

[19]  J. Lighthill,et al.  An Informal Introduction to Theoretical Fluid Mechanics , 1986 .

[20]  T. Pitcher,et al.  The sensory basis of fish schools: Relative roles of lateral line and vision , 1980, Journal of comparative physiology.

[21]  I. Aoki.  A simulation study on the schooling mechanism in fish. , 1982 .

[22]  Touvia Miloh,et al.  Mathematical approaches in hydrodynamics , 1991 .

[23]  C. Hemelrijk,et al.  The increased efficiency of fish swimming in a school , 2013, 1307.7282.

[24]  Vicsek,et al.  Novel type of phase transition in a system of self-driven particles. , 1995, Physical review letters.

[25]  G. Lauder,et al.  The Kármán gait: novel body kinematics of rainbow trout swimming in a vortex street , 2003, Journal of Experimental Biology.

[26]  Petros Koumoutsakos,et al.  Learning to school in the presence of hydrodynamic interactions , 2015, Journal of Fluid Mechanics.

[27]  Andreas Huth,et al.  THE SIMULATION OF FISH SCHOOLS IN COMPARISON WITH EXPERIMENTAL DATA , 1994 .

[28]  Eva Kanso,et al.  The finite-dipole dynamical system , 2012, Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences.

[29]  A. Huth,et al.  The simulation of the movement of fish schools , 1992 .

[30]  Y. Tu,et al.  Moving and staying together without a leader , 2003, cond-mat/0401257.

[31]  Ericka Stricklin-Parker,et al.  Ann , 2005 .

[32]  George V Lauder,et al.  Forces, fishes, and fluids: hydrodynamic mechanisms of aquatic locomotion. , 2002, News in physiological sciences : an international journal of physiology produced jointly by the International Union of Physiological Sciences and the American Physiological Society.

[33]  I. Couzin,et al.  Collective memory and spatial sorting in animal groups. , 2002, Journal of theoretical biology.

[34]  William W. Schultz,et al.  Natural Locomotion in Fluids and on Surfaces , 2012 .

[35]  D. V. Radakov.  Schooling in the ecology of fish , 1973 .

[36]  E. Kanso,et al.  Dipole models of self-propelled bodies , 2014 .