title: How landscape heterogeneity frames optimal diffusivity in searching processes.
abstract: Theoretical and empirical investigations of search strategies typically have failed to distinguish the distinct roles played by density versus patchiness of resources. It is well known that motility and diffusivity of organisms often increase in environments with low density of resources, but thus far there has been little progress in understanding the specific role of landscape heterogeneity and disorder on random, non-oriented motility. Here we address the general question of how the landscape heterogeneity affects the efficiency of encounter interactions under global constant density of scarce resources. We unveil the key mechanism coupling the landscape structure with optimal search diffusivity. In particular, our main result leads to an empirically testable prediction: enhanced diffusivity (including superdiffusive searches), with shift in the diffusion exponent, favors the success of target encounters in heterogeneous landscapes.
authors.affiliation: Laboratório de Física Teórica e Computacional, Departamento de Física, Universidade Federal de Pernambuco, Recife, Brazil. ernesto@df.ufpe.br
authors.forename: E P
authors.initials: EP
authors.lastname: Raposo
authors.forename: F
authors.initials: F
authors.lastname: Bartumeus
authors.forename: M G E
authors.initials: MG
authors.lastname: da Luz
authors.forename: P J
authors.initials: PJ
authors.lastname: Ribeiro-Neto
authors.forename: T A
authors.initials: TA
authors.lastname: Souza
authors.forename: G M
authors.initials: GM
authors.lastname: Viswanathan
mesh_terms: D000818:Animals; D001522:Behavior, Animal; D019295:Computational Biology; D003247:Conservation of Natural Resources / Q000706:statistics & numerical data; D017753:Ecosystem; D005247:Feeding Behavior; D008954:Models, Biological
references.citation: Ecology. 2007 Aug;88(8):1962-9
references.pmid: 17824427
references.citation: Nature. 1999 Oct 28;401(6756):911-4
references.pmid: 10553906
references.citation: Nature. 2010 Jun 24;465(7301):1066-9
references.pmid: 20531470
references.citation: Proc Natl Acad Sci U S A. 2011 Mar 8;108(10):4047-52
references.pmid: 21325053
references.citation: Am Nat. 2009 Jan;173(1):E15-29
references.pmid: 19053839
references.citation: J R Soc Interface. 2008 Sep 6;5(26):1077-86
references.pmid: 18292078
references.citation: Science. 2010 Jul 16;329(5989):342-5
references.pmid: 20647471
references.citation: Proc Natl Acad Sci U S A. 2008 Oct 14;105(41):15738-42
references.pmid: 18838672
references.citation: Phys Rev Lett. 2003 Dec 12;91(24):240601
references.pmid: 14683101
references.citation: J R Soc Interface. 2010 Sep 6;7(50):1301-10
references.pmid: 20335195
references.citation: Nature. 2006 Jan 26;439(7075):462-5
references.pmid: 16437114
references.citation: Phys Rev E Stat Nonlin Soft Matter Phys. 2008 Nov;78(5 Pt 1):051128
references.pmid: 19113116
references.citation: Proc Natl Acad Sci U S A. 2009 Aug 18;106(33):13696-701
references.pmid: 19666506
references.citation: Phys Rev Lett. 2007 Oct 19;99(16):160602
references.pmid: 17995231
references.citation: J Exp Mar Biol Ecol. 2000 May 31;248(2):133-150
references.pmid: 10771298
references.citation: J R Soc Interface. 2010 Jan 6;7(42):199-208
references.pmid: 19474077
references.citation: Nature. 2007 Oct 25;449(7165):1044-8
references.pmid: 17960243
references.citation: Ecol Lett. 2007 Mar;10(3):219-29
references.pmid: 17305805
references.citation: Ecol Lett. 2008 Jun;11(6):637-50
references.pmid: 18400017
references.citation: Proc Natl Acad Sci U S A. 2008 Dec 9;105(49):19072-7
references.pmid: 19060198
references.citation: Proc Natl Acad Sci U S A. 1997 Dec 9;94(25):13576-81
references.pmid: 9391068
references.citation: Curr Biol. 2010 Feb 9;20(3):215-22
references.pmid: 20116250
references.citation: Phys Rev E Stat Nonlin Soft Matter Phys. 2001 Oct;64(4 Pt 1):041108
references.pmid: 11690011
references.citation: PLoS One. 2011 Apr 11;6(4):e15274
references.pmid: 21494596
references.citation: Phys Rev E Stat Nonlin Soft Matter Phys. 2009 Sep;80(3 Pt 1):031146
references.pmid: 19905101
references.citation: Proc Natl Acad Sci U S A. 2008 Mar 18;105(11):4209-14
references.pmid: 18337491
references.citation: J Theor Biol. 2009 Sep 7;260(1):98-103
references.pmid: 19501601
references.citation: Nature. 2008 Jun 5;453(7196):779-82
references.pmid: 18528393
references.citation: Nature. 2006 Sep 21;443(7109):281-2
references.pmid: 16988697
references.citation: Science. 2006 Feb 3;311(5761):660-3
references.pmid: 16456080
references.citation: Phys Rev Lett. 2005 Dec 31;95(26):260603
references.pmid: 16486329
references.citation: Nature. 2008 Feb 28;451(7182):1098-102
references.pmid: 18305542
references.citation: Proc Natl Acad Sci U S A. 2004 Oct 19;101(42):15124-9
references.pmid: 15477600
references.citation: J Theor Biol. 2008 May 7;252(1):43-55
references.pmid: 18321530
references.citation: Proc Natl Acad Sci U S A. 2011 May 24;108(21):8704-7
references.pmid: 21555579
references.citation: Proc Natl Acad Sci U S A. 2003 Oct 28;100(22):12771-5
references.pmid: 14566048
references.citation: Oecologia. 2001 May;127(4):590-602
references.pmid: 28547497
references.citation: Phys Rev Lett. 1994 Nov 28;73(22):2946-2949
references.pmid: 10057243
references.citation: Proc Biol Sci. 2006 May 22;273(1591):1195-201
references.pmid: 16720391
references.citation: Proc Natl Acad Sci U S A. 2009 May 19;106(20):8204-8
references.pmid: 19420219
references.citation: Proc Biol Sci. 2012 Feb 7;279(1728):465-73
references.pmid: 21752825