a151501,200dmax10-2w)()(x) 00O10-3-15-1501,200000-1515150150-1,2001,20010-4x (km)x (km)x (km)b15151510-5O0010-65min-15-15-15-150001515-1515-15xloxxloxxlox
Understanding WhyOptimizingthesuccessofrandomsearchesG.M.Viswanathan*23,Sergey V.Buldyrev*,ShlomoHavlin*SM.G.E.daLuzkl,E.P.Raposok#&H.EugeneStanley*NATURE/VOL401128OCTOBER1999FishinLevy-flightLevyflightforagingGandhimohanMViswanathanLevyflightsareatheoreticalBrownianwalkconstructthathasattractedwideinterdisciplinaryinterestEmpiricalevidenceshowsthattheprincipleappliestotheforagingofmarinepredatorsNATURE/Vol465/24June2010
Optimizing the success of random searches G. M. Viswanathan*²³, Sergey V. Buldyrev*, Shlomo Havlin*§, M. G. E. da Luzk¶, E. P. Raposok# & H. Eugene Stanley*, NATURE |VOL 401 | 28 OCTOBER 1999 | Fish in Lévy-flight foraging Gandhimohan M. Viswanathan Lévy flights are a theoretical construct that has attracted wide interdisciplinary interest. Empirical evidence shows that the principle applies to the foraging of marine predators. NATURE|Vol 465|24 June 2010 Understanding Why
1SearchEfficiencyNumberoftarget SitesVisitedto the Total Distance Tranversed2rvn=<I)N10.00入=10a8.0入=102G1.30+1=1036.0入=1044.02.01.20M58.0b1026.01.101014.01002.01.02.03.00.01.001.01.52.02.53.01.01.52.02.53.0AA
Search Efficiency Number of target Sites Visited to the Total Distance Tranversed
natureARTICLESphysicsPUBLISHEDONLINE:12SEPTEMBER2010/DOI:10.1038/NPHYS1760Modellingthescalingpropertiesofhuman mobilityChaoming Song1.21, Tal Korent,2t, Pu Wangl,2 and Albert-Laszl6 Barabasil,2,3P(△r) ~[△r/-1- and P(△t) ~ [△t|-1-βnews&viewsSTATISTICALMECHANICSThe physics of where to goHumans tendtoexploreunknown locations,butpreferentially return tofamiliarplaces.The interplaybetweenthesetwobasicbehaviours accounts for many of the scalingrelations observed in human-mobilitypatterns.DirkBrockmann
PreferentialExploration andreturn(O) Exploration: with probabilityPnew = pS-the individuar moves to a new location (ii) Preferential return: with probabilityPret =1-pS-yI;=fi
Exploration and Preferential return ◼ (i) Exploration: with probability the individual moves to a new location ◼ (ii) Preferential return: with probability