An information-theoretic approach to study hydrodynamic interactions in schooling fish

Understanding the role of hydrodynamic interactions in fish swimming may help explain why and how fish swim in schools. In this work, we designed controlled experiments to study fish swimming in a disturbed flow. Specifically, we recorded the tail beat frequency of a fish swimming in the presence of an actively-controlled airfoil pitching at varying frequencies. We propose an information-theoretic approach to quantify the influence of the motion of the pitching airfoil on the animal swimming. The theoretical framework developed in this work may inform future investigations on the mechanisms underlying schooling in groups.

[1]  H. Kantz,et al.  Analysing the information flow between financial time series , 2002 .

[2]  Sang Joon Kim,et al.  A Mathematical Theory of Communication , 2006 .

[3]  Jesús Mur,et al.  A non-parametric spatial independence test using symbolic entropy , 2010 .

[4]  J. Halloy,et al.  Simple phalanx pattern leads to energy saving in cohesive fish schooling , 2017, Proceedings of the National Academy of Sciences.

[5]  Schreiber,et al.  Measuring information transfer , 2000, Physical review letters.

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

[7]  G. Potts The Behaviour of Teleost Fishes, Tony J. Pitcher (Ed.). Croom Helm, Beckenham, Kent (1986), 553 , 1986 .

[8]  Anne E. Magurran,et al.  Schooling mackerel and herring choose neighbours of similar size , 1985 .

[9]  Norbert Marwan,et al.  The backbone of the climate network , 2009, 1002.2100.

[10]  A. I. Lupandin Effect of Flow Turbulence on Swimming Speed of Fish , 2005, Biology Bulletin.

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

[12]  J. Steffensen,et al.  Energy savings in sea bass swimming in a school : measurements of tail beat frequency and oxygen consumption at different swimming speeds , 1998 .

[13]  J. Liao,et al.  A review of fish swimming mechanics and behaviour in altered flows , 2007, Philosophical Transactions of the Royal Society B: Biological Sciences.

[14]  R. R. Krausz Living in Groups , 2013 .

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

[16]  M A Geyer,et al.  Application of entropy measures derived from the ergodic theory of dynamical systems to rat locomotor behavior. , 1990, Proceedings of the National Academy of Sciences of the United States of America.

[17]  M. Conaway Analysis of Repeated Categorical Measurements with Conditional Likelihood Methods , 1989 .