And yet it optimizes: Comment on "Liberating Lévy walk research from the shackles of optimal foraging" by A.M. Reynolds.

a Departamento de Física, Universidade Federal do Paraná, Curitiba–PR, 81531-980, Brazil b Laboratório de Física Teórica e Computacional, Departamento de Física, Universidade Federal de Pernambuco, Recife–PE, 50670-901, Brazil c Departamento de Física Teórica e Experimental & National Institute of Science and Technology of Complex Systems, Universidade Federal do Rio Grande do Norte, Natal–RN, 59078-900, Brazil

[1]  B. L. Olla,et al.  Food deprivation affects vertical distribution and activity of a marine fish in a thermal gradient: potential energy-conserving mechanisms , 1996 .

[2]  G. Viswanathan,et al.  Optimal random searches of revisitable targets: Crossover from superdiffusive to ballistic random walks , 2004 .

[3]  G. Viswanathan,et al.  Lévy flights and superdiffusion in the context of biological encounters and random searches , 2008 .

[4]  G M Viswanathan,et al.  Optimization of random searches on regular lattices. , 2005, Physical review. E, Statistical, nonlinear, and soft matter physics.

[5]  S V Buldyrev,et al.  Quantification of DNA patchiness using long-range correlation measures. , 1997, Biophysical journal.

[6]  Gandhi M. Viswanathan.  Improvements in the statistical approach to random Levy flight searches M.G.E. da Luz, S.V. Buldyrev, S. Havlin, E.P. Raposo, H.E. Stanley, , 2001 .

[7]  B. Barlaup,et al.  Feeding pattern and diet of first feeding brown trout fry under natural conditions , 2006 .

[8]  H. Stanley,et al.  Optimizing the success of random searches , 1999, Nature.

[9]  G. Pyke.  Understanding movements of organisms: it's time to abandon the Lévy foraging hypothesis , 2015 .

[10]  M. Shlesinger,et al.  Lévy Walks Versus Lévy Flights , 1986 .

[11]  Simon Benhamou,et al.  How many animals really do the Lévy walk? , 2008, Ecology.

[12]  Ernesto P. Raposo,et al.  The influence of the environment on Lévy random search efficiency: Fractality and memory effects , 2012 .

[13]  Andy M. Reynolds,et al.  Mussels realize Weierstrassian Lévy walks as composite correlated random walks , 2014, Scientific Reports.

[14]  L. R. da Silva,et al.  Search dynamics at the edge of extinction: Anomalous diffusion as a critical survival state , 2007 .

[15]  Thomas C. Hales,et al.  The Honeycomb Conjecture , 1999, Discret. Comput. Geom..

[16]  G. Viswanathan,et al.  The influence of turning angles on the success of non-oriented animal searches. , 2008, Journal of theoretical biology.

[17]  G. Viswanathan,et al.  Conditions under which a superdiffusive random-search strategy is necessary. , 2012, Physical review. E, Statistical, nonlinear, and soft matter physics.

[18]  David W. Sims,et al.  A new approach for objective identification of turns and steps in organism movement data relevant to random walk modelling , 2013 .

[19]  Frederic Bartumeus,et al.  How Landscape Heterogeneity Frames Optimal Diffusivity in Searching Processes , 2011, PLoS Comput. Biol..

[20]  Stanley,et al.  Stochastic process with ultraslow convergence to a Gaussian: The truncated Lévy flight. , 1994, Physical review letters.

[21]  G M Viswanathan,et al.  Origin of power-law distributions in deterministic walks: the influence of landscape geometry. , 2007, Physical review. E, Statistical, nonlinear, and soft matter physics.

[22]  A. Reynolds.  Liberating Lévy walk research from the shackles of optimal foraging. , 2015, Physics of life reviews.

[23]  G. Viswanathan,et al.  Unveiling a mechanism for species decline in fragmented habitats: fragmentation induced reduction in encounter rates , 2014, Journal of The Royal Society Interface.

[24]  Daniel Campos,et al.  Stochastic Foundations in Movement Ecology , 2014 .

[25]  G M Viswanathan,et al.  Robustness of optimal random searches in fragmented environments. , 2015, Physical review. E, Statistical, nonlinear, and soft matter physics.

[26]  Marcos C. Santos,et al.  Dynamical robustness of Lévy search strategies. , 2003, Physical review letters.

[27]  A. M. Edwards,et al.  Revisiting Lévy flight search patterns of wandering albatrosses, bumblebees and deer , 2007, Nature.

[28]  G. Viswanathan,et al.  The universality class of random searches in critically scarce environments , 2012 .

[30]  Frederic Bartumeus,et al.  Stochastic Optimal Foraging: Tuning Intensive and Extensive Dynamics in Random Searches , 2014, PloS one.

[31]  H. Stanley,et al.  The Physics of Foraging: An Introduction to Random Searches and Biological Encounters , 2011 .

[32]  P. A. Prince,et al.  Lévy flight search patterns of wandering albatrosses , 1996, Nature.