Lévy Flight


  • step distance is drawn from a statistical distribution with a power-law tail (Viswanathan et al 1999)
  • Lévy flight less likely to return to previously visited site compared to gaussian distribution; alternatively, the number of newly visited sites is greater for N Lévy walkers compared to N brownian walkers (Viswanathan et al 1999)
    • this makes the Lévy pattern more efficient when resources are sparsely and randomly distributed
  • application of Lévy flight found to be inappropriate for range of species; instead, a shifted gamma (Albatross), exponential (deer), or none (bee) (Edwards et al 2007)
    • questions applicability of optimal search strategy



Related Articles



@article{reynolds2009lévy,
  title={The L{\'e}vy flight paradigm: random search patterns and mechanisms},
  author={Reynolds, AM and Rhodes, CJ},
  journal={Ecology},
  volume={90},
  number={4},
  pages={877--887},
  year={2009},
  publisher={Eco Soc America}
}
 
@article{viswanathan1999optimizing,
  title={Optimizing the success of random searches},
  author={Viswanathan, GM and Buldyrev, S.V. and Havlin, S. and Da Luz, MGE and Raposo, EP and Stanley, H.E.},
  journal={Nature},
  volume={401},
  number={6756},
  pages={911--914},
  year={1999},
  publisher={Nature Publishing Group}
}