期刊论文详细信息
Movement Ecology
Consequences of animal interactions on their dynamics: emergence of home ranges and territoriality
V M Kenkre1  Luca Giuggioli2 
[1] Consortium of the Americas for Interdisciplinary Science and Department of Physics and Astronomy, University of New Mexico, Albuquerque 87131, New Mexico, USA;Bristol Centre for Complexity Sciences, Department of Engineering Mathematics and School of Biological Sciences, University of Bristol, Bristol BS8 1UB, UK
关键词: Interacting random walks;    Movement ecology;    Confinement;    Animal spacing;   
Others  :  1132180
DOI  :  10.1186/s40462-014-0020-7
 received in 2014-04-23, accepted in 2014-08-08,  发布年份 2014
PDF
【 摘 要 】

Animal spacing has important implications for population abundance, species demography and the environment. Mechanisms underlying spatial segregation have their roots in the characteristics of the animals, their mutual interaction and their response, collective as well as individual, to environmental variables. This review describes how the combination of these factors shapes the patterns we observe and presents a practical, usable framework for the analysis of movement data in confined spaces. The basis of the framework is the theory of interacting random walks and the mathematical description of out-of-equilibrium systems. Although our focus is on modelling and interpreting animal home ranges and territories in vertebrates, we believe further studies on invertebrates may also help to answer questions and resolve unanswered puzzles that are still inaccessible to experimental investigation in vertebrate species.

【 授权许可】

   
2014 Giuggioli and Kenkre; licensee BioMed Central Ltd.

【 预 览 】
附件列表
Files Size Format View
20150303145923333.pdf 1307KB PDF download
Figure 5. 15KB Image download
Figure 4. 29KB Image download
Figure 3. 49KB Image download
Figure 2. 74KB Image download
Figure 1. 23KB Image download
【 图 表 】

Figure 1.

Figure 2.

Figure 3.

Figure 4.

Figure 5.

【 参考文献 】
  • [1]Altum JBT: Der Vogel und Sein Leben. Niemann, Münster, Germany; 1875.
  • [2]Mayr E: Bernard Altum and the territory theory. Proc Linn Soc NY 1935, 45(46):24-38.
  • [3]Moffat CB: The spring rivalry of birds. Irish Nat 1903, 12:152-166.
  • [4]Howard HE: Territory in Bird Life. Dutton, New York; 1920.
  • [5]Carpenter CR: A field study of the behavior and social relations of howling monkeys (Alouatta palliata). Comp Psychol Monogr 1934, 10(2):1-168.
  • [6]Nice MM: The role of territory in bird life. Am Nat 1941, 26(3):441-487.
  • [7]Hinde RA: The biological significance of the territory of birds. Ibis 1956, 98:340-369.
  • [8]Brown JL, Orians GH: Spacing patterns in mobile animals. Ann Rev Ecol Syst 1970, 1:239-262.
  • [9]Wilson EO: Sociobiology: the New Synthesis: 25th edn. Harvard Uni. Press, Cambridge; 2000.
  • [10]Davies NB, Houston AI: Territory economics. In Behavioural Ecology: an Evolutionary Approach: 2nd edn. Edited by Krebs JR, Davies NB. Blackwell Sci.; 1984:148–169.
  • [11]Newton I: Experiments on the limitation of bird numbers by territorial behaviour. Biol Rev 1992, 67:129-173.
  • [12]Stamps JA: Territorial behavior: testing the assumptions. Adv Study Behav 1994, 23:173-232.
  • [13]Gordon DM: The population consequences of territorial behavior. Trends Ecol Evol 1997, 12:63-66.
  • [14]Adams ES: Approaches to the study of territory size and shape. Ann Rev Ecol Syst 2001, 32:277-303.
  • [15]Börger L, Dalziel BD, Fryxell JM: Are there general mechanisms of animal home range behaviour? A review and prospects for future research. Ecol Lett 2008, 11:637-650.
  • [16]Powell RA, Mitchell MS: What is a home range? J Mammal 2012, 93(4):948-958.
  • [17]Krebs JR, Davies NB: An Introduction to Behavioral Ecology. Blackwell Scientific Publications, Oxford; 1987.
  • [18]Wolff JO: Why are female small mammals territorial? Oikos 1993, 68:364-370.
  • [19]Wolff JO, Peterson JA: An offspring-defense hypothesis for territoriality in female mammals. Ethol Ecol Evol 1998, 10:227-239.
  • [20]Doncaster CP, Woodroffe R: Den site can determine shape and size of badger territories: implications for group-living. Oikos 1993, 66:88-93.
  • [21]Stamps JA: Motor learning and the value of familiar space. Am Nat 1995, 146:41-58.
  • [22]Hyman J, Hughes M, Searcy WA, Nowicki S: Individual variation in the strength of territory defense in male song sparrows: correlates of age, territory tenure, and neighbor aggressiveness. Behaviour 2004, 141:15-27.
  • [23]Burt WH: Territoriality and home range concepts as applied to mammals. J Mammal 1943, 24:346-352.
  • [24]Maher CA, Lott DF: Definitions of territoriality used in the study of variation in vertebrate spacing systems. Anim Behav 1995, 49:1581-1597.
  • [25]Mohr CO: Table of equivalent populations of North American mammals. Am Midland Nat 1947, 37:223-249.
  • [26]Randon-Furling J, Majumdar SN, Comtet A: Convex hull of N planar brownian motions: exact results and an application to ecology. Phys Rev Lett 2009, 103:140602.
  • [27]Majumdar SN, Comtet A, Randon-Furling J: Random convex hulls and extreme value statistics. J Stat Phys 2010, 138:955-1009.
  • [28]Benhamou S, Cornelis D: Incorporating movement behavior and barriers to improve kernel home range space use estimates. J Wildlife Manage 2010, 74:1353-1360.
  • [29]Downs JA, Horner MW, Tucker AD: Time-geographic density estimation for home range analysis. Annals GIS 2011, 17(3):163-171.
  • [30]Long JA, Nelson TA: Time geography and wildlife home range delineation. J Wildlife Manage 2012, 76(2):407-413.
  • [31]Steiniger S, Hunter AJS: A scaled line-based kernel density estimator for the retrieval of utilization distributions and home ranges from gps movement tracks. Ecol Inform 2013, 13:1-8.
  • [32]Lyons AJ, Turner WC, Getz WM: Home range plus: a space-time characterization of movement over real landscapes. Move Ecol 2013, 1(2):14.
  • [33]Börger L, Fraconi N, Michele GD, Gatnz A, Meschi F, Manica A, Lovari S, Coulson T: Effects of sampling regime on the mean and variance of home range size estimates. J Anim Ecol 2006, 75(6):1393-1405.
  • [34]Fieberg J, Börger L: Could you please phrase “home range” as a question? J Mammal 2012, 93(4):890-902.
  • [35]Harris S, Cresswell WJ, Forde PG, Trewhella WJ, Woollard T, Wray S: Home-range analysis using radio-tracking data: a review of problems and techniques particularly as applied to the study of mammals. Mammal Rev 1990, 20:97-123.
  • [36]Powell RA: Animal home ranges and territories and home range estimators. In Research Techniques in Animal Ecology: Controversies and Consequences. Edited by Boitani L, Fuller TK. Columbia University Press, New York; 2000:65-110.
  • [37]Abramson G, Kupermannd MN, Morales JM, Miller JC: Space use by foragers consuming renewable resources. Eur Phys J B 2014, 87:100.
  • [38]Moorcroft PR: Mechanistic approaches to understanding and predicting mammalian space use: recent advances, future directions. J Mammal 2012, 93(4):903-916.
  • [39]Weaire D, Rivier N: Soap, cells and statistics—random patterns in two dimensions. Contemp Phys 1984, 25:59-99.
  • [40]Forman RTT, Gordon M: Landscape Ecology. John Wiley & Sons, New York; 1986.
  • [41]With KA, King AW: The use and misuse of neutral landscape models in ecology. Oikos 1997, 79:219-229.
  • [42]Gustafson EJ: Quantifying landscape spatial pattern: what is the state of the art? Ecosystems 1998, 1:143-156.
  • [43]Burel F, Baudry J: Landscape Ecology: Concepts, Methods, and Applications. Science Publishers, Enfield; 2003.
  • [44]Gaucherel C, Fleury D, Auclair A, Dreyfus P: Neutral models for patchy landscapes. Ecol Model 2006, 197:159-170.
  • [45]Turner MG, Romme WH, Gardner RH, O’Neill OV, Kratz TK: A revised concept of landscape equilibrium: disturbance and stability on scaled. Landscape Ecol 1993, 8:213-227.
  • [46]Zimmerman JK, Comita LS, Thompson J, Uriarte M, Brokaw N: Patch dynamics and community metastability of a subtropical forest: compound effects of natural disturbance and human land use. Landscape Ecol 2010, 25:1099-1111.
  • [47]Dick JM, Shock EL: A metastable equilibrium model for the relative abundances of microbial phyla in a hot spring. PLoS ONE 2013, 8(9):72395.
  • [48]Shintani H, Tanaka H: Frustration on the way to crystallization in glass. Nat Phys 2006, 2:200-206.
  • [49]Kenkre VM, Dunlap DH: Charge transport in molecular solids: dynamic and static disorder. Phil Mag 1992, 65:831-841.
  • [50]Grassé P-P: La reconstruction du nid et les coordinations interindividuelles chez Bellicositermes natalensis et Cubitermes sp. La théorie de la stigmergie: essai dÕinterprétation du comportement des termites constructeurs. Insec Soc 1959, 6(1):41-83.
  • [51]Theraulaz G, Bonabeau E: A brief history of stigmergy. Artif Life 1999, 5(2):97-116.
  • [52]Holland O, Melhuish C: Stigmergy, self-organisation and sorting in collective robotics. Artif Life 1999, 5(2):173-202.
  • [53]Giuggioli L, Potts JR, Rubenstein DI, Levin SA: Stigmergy, collective actions, and animal social spacing. Proc Natl Acad Sci USA 2013, 110(42):16904-16909.
  • [54]Dunlap DH, Kenkre VM: Disordered polaron transport: a theoretical description of the motion of photoinjected charges in molecularly doped polymers. Chem Phys 1993, 178:67-75.
  • [55]Kenkre VM: Nonlinear dynamics of polarons. In Polarons and Applications. Edited by Lakhno VD. Wiley & Sons, Leeds; 1994:383-403.
  • [56]Kenkre VM: What do polarons owe to their harmonic origins? Physica D 1998, 113:233-241.
  • [57]Nathan RM: An emerging movement ecology paradigm. Proc Natl Acad Sci USA 2008, 105:19050-19051.
  • [58]Nathan RM, Giuggioli L: A milestone for movement ecology research. Move Ecol 2013, 1(1):3.
  • [59]Codling EA, Planck MJ, Benhamou S: Random walk models in biology. J Roy Soc Interface 2008, 95(5):813-834.
  • [60]Viswanathan GM, da Luz MGE, Raposo EP, Stanley HE: The Physics of Foraging: an Introduction to Random Searches and Biological Encounters. Cambridge Univ. Press, Cambridge; 2011.
  • [61]Cooke SJ, Hinch SG, Wikelski M, Andrews RD, Kuchel LJ, Wolcott TG, Butler PJ: Biotelemetry: a mechanistic approach to ecology. Trends Ecol Evol 2004, 19:334-343.
  • [62]Cagnacci F, Boitani L, Powell RA, Boyce MS: Animal ecology meets gps-based radiotelemetry: a perfect storm of opportunities and challenges. Proc Roy Soc B 2010, 365:2157-2162.
  • [63]Lewis MA, Murray JD: Modelling territoriality and wolf-deer interactions. Ecology 1993, 366:738-740.
  • [64]Moorcroft PR, Lewis MA: Mechanistic Home Range Analysis. Princeton University Press, Princeton; 2006.
  • [65]Chandrasekar S: Stochastic problems in physics and astronomy. Rev Mod Phys 1943, 15:1-89.
  • [66]Reichl LE: A Modern Course in Statistical Physics, 3rd edn. Wiley & Sons, Weinheim; 2009.
  • [67]Levin SA: The problem of pattern and scale in ecology. Ecology 1992, 73(6):1943-1967.
  • [68]Kenkre VM, Montroll EW, Shlesinger MF: Generalized master equations for continuous-time random walks. J Stat Phys 1973, 9:45-50.
  • [69]Kenkre VM: The generalized master equation and its applications. In Statistical Mechanics and Statistical Methods in Theory and Application. Edited by Landman U. Plenum, New York; 1977:441-461.
  • [70]Hilfer R, Anton L: Fractional master equations and fractal time random walks. Phys Rev E 1995, 51:848-851.
  • [71]Giuggioli L, Sevilla FJ, Kenkre VM: A generalised master equation approach to modelling anomalous transport in animal movement. J Phys A: Math Theor 2009, 42:434004.
  • [72]Kenkre VM: Memory formalism, nonlinear techniques, and kinetic equation approaches. In AIP Conference Proceedings on Modern Challenges in Statistical Mechanics: Patterns, Noise, and the Interplay of Nonlinearity and Complexity, vol. 658. Edited by Kenkre VM, Lindenberg K. American Institute of Physics, Melville; 2003:63-103.
  • [73]Kenkre VM, Sevilla FJ: Thoughts about anomalous diffusion: time-dependent coefficients versus memory functions. In Contributions to Mathematical Physics: a Tribute to Gerard G. Emch. Edited by Ali TS, Sinha KB. Hindustani Book Agency, New Delhi; 2007:147-160.
  • [74]von Smoluchowski M: Über Brownsche molekularbewegung unter einwirkung äuβerer kräfte und deren zusammenhang mit der verallgemeinerten diffusionsgleichung. Ann Phys 1916, 353(24):1103-1112.
  • [75]Giuggioli L, Potts JR, Harris S: Animal interactions and the emergence of territoriality. PLoS Comput Biol 2011, 7(3):1002008.
  • [76]Giuggioli L, Potts JR, Harris S: Brownian walkers within subdiffusing territorial boundaries. Phys Rev E 2011, 83:061138.
  • [77]Harris TE: Diffusion with “collisions” between particles. J Appl Probab 1965, 2:323-338.
  • [78]Rödenbeck C, Kärger J, Hahn K: Calculating exact propagators in single-file systems via the reflection principle. Phys Rev E 1998, 57(4):4382-4397.
  • [79]Kumar D: Diffusion of interacting particles in one dimension. Phys Rev E 2008, 78:021133.
  • [80]Aslangul C: Diffusion of two repulsive particles in a one-dimensional lattice. J Phys A: Math Gen 1999, 32(9):3993-4003.
  • [81]Ambjörnsson T, Silbey RJ: Diffusion of two particles with a finite interaction potential in one dimension. J Chem Phys 2008, 129(16):165103.
  • [82]Lizana L, Ambjörnsson T: Single-file diffusion in a box. Phys Rev Lett 2008, 100:200601.
  • [83]Barkai E, Silbey R: Theory of single file diffusion in a force field. Phys Rev Lett 2009, 102:050602.
  • [84]Barkai E, Silbey R: Diffusion of tagged particle in an exclusion process. Phys Rev E 2010, 81:041129.
  • [85]Potts JR, Harris S, Giuggioli L: An anti-symmetric exclusion process for two particles on an infinite 1d lattice. J Phys A: Math Theor 2011, 44:485003.
  • [86]Mikhailov AS, Zanette DH: Noise-induced breakdown of coherent collective motion in swarms. Phys Rev E 1999, 60:4571-4575.
  • [87]Erdmann U, Ebeling W, Mikhailov AS: Trail following in ants: individual properties determine population behaviour. Phys Rev E 2005, 71:051904.
  • [88]D’Orsogna MR, Chuang YL, Bertozzi AL, Chayes LS: Self-propelled particles with soft-core interactions: patterns, stability, and collapse. Phys Rev Lett 2006, 96:104302.
  • [89]Aldana M, Dossetti V, Huepe C, Kenkre VM, Larralde H: Phase transitions in systems of self-propelled agents and related network models. Phys Rev Lett 2007, 98:095702.
  • [90]Dossetti V, Sevilla FJ, Kenkre VM: Phase transitions induced by complex nonlinear noise in a system of self-propelled agents. Phys Rev E 2009, 79:051115.
  • [91]Astwood A, Raghib M, Kenkre VM: Orientational Model for Flocking: Memory Description of Collective Motion. University of New Mexico preprint; see also A. Astwood, Ph. D. thesis, 2013.
  • [92]Vicsek T, Zafeiris A: Collective motion. Phys Rep 2012, 517:71-140.
  • [93]Strandburg-Peshkin A, Twomey CR, Bode NW, Kao AB, Katz Y, Ioannou CC, Rosenthal SB, Torney CJ, Wu H, Levin SA, Couzin ID: Visual sensory networks and effective information transfer in animal groups. Curr Biol 2013, 23(17):709-711.
  • [94]Anderson RM, May RM: Population biology of infectious diseases: Part i. Nature 1979, 280:361-367.
  • [95]May RM, Anderson RM: Population biology of infectious diseases: Part ii. Nature 1979, 280(5722):455-461.
  • [96]Okubo A, Levin SA: Diffusion and Ecological Problems: Modern Perspectives, 2nd edn. Springer, New York; 2001.
  • [97]Hethcote HW: The mathematics of infectious diseases. SIAM Rev 1995, 42:599-653.
  • [98]Brauer F, Castillo-Chávez C: Mathematical Models in Population Biology and Epidemiology. Springer, New York; 2001.
  • [99]Abramson G, Kenkre VM: Spatio-temporal patterns in Hantavirus infection. Phys Rev E 2002, 66:011912.
  • [100]Dickmann U, Law R, Metz JAJ: The Geometry of Ecological Interactions. Cambridge University Press, Cambridge; 2000.
  • [101]Cantrell RS, Cosner C: Spatial Ecology Via Reaction-diffusion Equations. Wiley & Sons, Chichester; 2003.
  • [102]Kenkre VM: Results from variants of the Fisher equation in the study of epidemics and bacteria. Phys A 2004, 342:242-248.
  • [103]McKane AJ, Newman TJ: Stochastic models in population biology and their deterministic analogs. Phys Rev E 2004, 70:041902.
  • [104]Kenkre VM: Statistical mechanical considerations in the theory of the spread of the Hantavirus. Phys A 2005, 356:121-126.
  • [105]Kenkre VM, Giuggioli L, Abramson G, Camelo-Neto G: Theory of Hantavirus infection spread incorporating localized adult and itinerant juvenile mice. Eur Phys J B 2007, 55:461-470.
  • [106]Aguirre MA, Abramson G, Bishop AR, Kenkre VM: Simulations in the mathematical modeling of the spread of the Hantavirus. Phys Rev E 2002, 66:041908.
  • [107]MacInnis D, Abramson G, Kenkre VM: Effects of Confinement Potentials on Spatial Patterns of Infection in Hantavirus Refugia. University of New Mexico preprint; see also D. MacInnis, Ph. D. thesis, 2008.
  • [108]Abramson G, Giuggioli L, Parmenter RR, Kenkre VM: Quasi-one-dimensional waves in rodent populations in heterogeneous habitats: a consequence of elevational gradients on spatio-temporal dynamics. J Theor Biol 2013, 319:96-101.
  • [109]Giuggioli L, Abramson G, Kenkre VM, Suzán G, Marcé E, Yates TL: Diffusion and home range parameters from rodent population measurements in Panama. Bull Math Biol 2005, 67(5):1135-1149.
  • [110]Abramson G, Giuggioli L, Kenkre VM, Dragoo JW, Parmenter RR, Parmenter CA, Yates TL: Diffusion and home range parameters for rodents:Peromyscus maniculatus in New Mexico. Ecol Complex 2006, 3:64-70.
  • [111][http://arxiv.org/abs/1408.5430] webcite Kenkre VM, Sugaya S: Theory of the Transmission of Infection in the Spread of Epidemics: Interacting Random Walkers with and Without Confinement; 2014. []
  • [112]Sugaya S, Kenkre VM: Transmission of Infection in Epidemics: Extension of the Theory to Dense Population With and Without Confinement: University of New Mexico preprint; 2014.
  • [113]Yates TL, Mills JN, Parmenter CA, Ksiazek TG, Parmenter RR, Castle JRV, Calisher CH, Nichol ST, Abbott KD, Young JC, Morrison ML, Beaty BJ, Dunnum JL, Baker RJ, Salazar-Bravo J, Peters CJ: The ecology and evolutionary history of an emergent disease: Hantavirus pulmonary syndrome. BioScience 2002, 52(11):989-998.
  • [114]Samia NI, Kausrud KL, Heesterbeek H, Ageyev V, Begon M, Chan KS, Stenseth NC: Dynamics of the plague-wildlife-human system in central Asia are controlled by two epidemiological thresholds. Proc Natl Acad Sci USA 2011, 108(35):14527-14532.
  • [115]Reijniers J, Davis S, Begon M, Heesterbeek JAP, Ageyev VS, Leirs H: A curve of thresholds governs plague epizootics in central Asia. Ecol Lett 2012, 15:554-560.
  • [116]Donnelly CA, Woodroffe R, Cox DR, Bourne FJ, Gettinby G, Fevre AML, McInerney JP, Morrison WI: Impact of localized badger culling on tuberculosis incidence in British cattle. Nature 2003, 426(6968):834-837.
  • [117]Donnelly CA, Woodroffe R, Cox DR, Bourne FJ, Cheeseman CL, Clifton-Hadley RS, Wei G, Gettinby G, Gilks P, Jenkins H, Johnston WT, Fevre AML, McInerney JP, Morrison MI: Positive and negative effects of widespread badger culling on tuberculosis in cattle. Nature 2006, 439(7078):843-846.
  • [118]Montroll EW, Weiss GH: Random walks on lattices II. J Math Phys 1965, 6(2):167-181.
  • [119]Montroll EW, West BJ: On an enriched collection of stochastic processes. In Studies in Statistical Mechanics: Vol VII. Fluctuation Phenomena. Edited by Montroll EW, Lebowitz JJ. North Holland Publishing, Amsterdam; 1979:61-175.
  • [120]Penteriani V, Ferrer M, Delgado MM: Floater strategies and dynamics in birds, and their importance in conservation biology: towards an understanding of nonbreeders in avian populations. Anim Conserv 2011, 14(3):233-241.
  • [121]Abramson G, Kenkre VM, Yates TL, Parmenter RR: Traveling waves of infection in the Hantavirus epidemics. Ecol Complex 2003, 65:519-534.
  • [122]Camelo-Neto G, Silva ATC, Giuggioli L, Kenkre VM: Effect of predators of juvenile rodents on the spread of the Hantavirus epidemic. Bull Math Biol 2008, 70(1):179-188.
  • [123]Stickel LF: Home range and travels. In Biology of Peromyscus (Rodentia), Special Publication No. 2. Edited by King JA. The American Society of Mammalogists, Stillwater; 1968:373-411.
  • [124]Parmenter RR, MacMahon JA: Factors determining the abundance and distribution of rodents in a shrub-steppe ecosystem: the role of shrubs. Oecologia 1983, 59:145-156.
  • [125]Wolff JO: Population regulation in mammals: an evolutionary perspective. J Anim Ecol 1997, 66:1-13.
  • [126]Giuggioli L, Abramson G, Kenkre VM, Parmenter RR, Yates TL: Theory of home range estimation from displacement measurements of animal populations. J Theor Biol 2006, 240:126-135.
  • [127]Risken H: The Fokker-Planck Equation: Methods of Solution and Applications. Springer, Berlin; 1984.
  • [128]Spendier K, Sugaya S, Kenkre VM: Reaction-diffusion theory in the presence of an attractive harmonic potential. Phys Rev E 2013, 88:062142.
  • [129]Moorcroft PR, Lewis MA, Crabtree RL: Home range analysis using mechanistic home range model. Ecology 1999, 80(5):1656-1665.
  • [130]Lewis MA, Moorcroft P: Ess analysis of mechanistic models for territoriality: the value of scent marks in spatial resource partitioning. J Theor Biol 2001, 210(4):449-461.
  • [131]Hamelin F, Lewis MA: A differential game theoretical analysis of mech- anistic models for territoriality. J Math Biol 2010, 61:665-694.
  • [132]Deneubourg JL, Goss S: Collective patterns and decision-making. Ethol Ecol Evol 1989, 1:295-311.
  • [133]Deneubourg JL, Aron S, Goss S, Pasteels JM: The self-organizing exploratory pattern of Argentine ant. J Insect Behav 1990, 2(3):159-168.
  • [134]Davis B: Reinforced random walks. Probab Theory Rel 1990, 84:203-229.
  • [135]Lam L: Active walker models for complex systems. Chaos Soliton Fract 1995, 6:267-285.
  • [136]Schweitzer F, Lao K, Family F: Active random walkers simulate trunk trail formation by ants. BioSystems 1997, 41:153-166.
  • [137]Othmer HA, Stevens A: Aggregation, blowup, and collapse: the ABC’s of taxis in reinforced random walks. SIAM J Appl Math 1997, 57(4):1044-1081.
  • [138]Boyer D, Solis-Salas C: Random walks with preferential relocations to places visited in the past and their application to biology. Phys Rev Lett 2014, 112:240601.
  • [139]Gosling LM, Roberts SC: Scent-marking by male mammals: cheat-proof signals to competitors and mates. Adv Stud Behav 2001, 30:169-217.
  • [140]Potts JR, Harris S, Giuggioli L: Territorial dynamics and stable home range formation for central place foragers. PLoS ONE 2012, 7(3):34033-1013710034033.
  • [141]Kac M: On the notion of recurrence in discrete stochastic processes. Bull Am Math Soc 1947, 53:1002-1010.
  • [142]von Born M, Oppenheimer JR: Zur quantentheorie der molekeln. Ann Phys Leipzig 1927, 389(20):457-484.
  • [143]Levin SA: Some demographic and genetic consequences of environmental heterogeneity for biological control. Bull Ent Soc Amer 1969, 15:237-240.
  • [144]Hanski I, Poyry J, Pakkala T, Kuussaari M: Multiple equilibria in metapopulation dynamics. Nature 1995, 377:618-621.
  • [145]Kato T: On the adiabatic theorem of quantum mechanics. J Phys Soc Japan 1950, 5:435-439.
  • [146]Giuggioli L, Potts JR, Harris S: Predicting oscillatory dynamics in the movement of territorial animals. J Roy Soc Interface 2012, 9(72):1529-1543.
  • [147]Giuggioli L, Viswanathan GM, Kenkre VM, Parmenter RR, Yates TL: Effects of finite probing windows on the interpretation of the multifractal properties of random walks. Europhys Lett 2007, 77:4004.
  • [148]Kenkre VM: Master-equation theory of the effect of vibrational relaxation on intermolecular transfer of electronic excitation. Phys Rev A 1977, 16:766-776.
  • [149]Moorcroft PR, Lewis MA, Crabtree RL: Mechanistic home range models capture spatial patterns and dynamics of coyote territories in yellowstone. Proc Roy Soc B 2006, 273:1651-1659.
  • [150]Lewis MA, White KAJ, Moorcroft PR: Analysis of a model for wolf territories. J Math Biol 1997, 35:749-774.
  • [151]Holgate P: Random walk models for animal behavior. In Pennsylvania State Statistics - Statistical Ecology: Sampling and Modeling Biological Populations and Population Dynamics, vol. 2. Edited by Patil G, Pielou E, Walters W. Pennsylvania State University Press, University Park; 1971:1-12.
  • [152]Giuggioli L, Bartumeus F: Linking animal movement to site fidelity. J Math Biol 2012, 64:647-656.
  • [153]Durrett R, Levin SA: The importance of being discrete (and spatial). Theor Pop Biol 1994, 46:363-394.
  • [154]Turchin P: Quantitative Analysis of Movement: Measuring and Modelling Population Redistribution in Animals and Plants. Sinauer Associates, Sunderland; 1998.
  • [155]Giuggioli L, Bartumeus F: Animal movement, search strategies and behavioural ecology: a cross-disciplinary way forward. J Anim Ecol 2010, 79:906-909.
  • [156]Skellam JG: Random dispersal in theoretical populations. Biometrika 1951, 38:196-218.
  • [157]Skellam JG: The formulation and interpretation of mathematical models of diffusionary processes in population biology. In The Mathematical Theory of the Dynamics of Biological Populations. Edited by Bartlett MS, Hiorns RW. Academic Press, New York; 1973:63-85.
  • [158]Okubo A: Diffusion and Ecological Problems: Mathematical Models vol. 10 Biomathematics. Springer, Berlin; 1980.
  • [159]Kareiva PM, Shigesada N: Analyzing insect movement as a correlated random walk. Oecologia 1983, 56:234-238.
  • [160]Gurarie E, Andrews RD, Laidre KL: A novel method for identifying behavioural changes in animal movement data. Ecol Lett 2009, 12(5):395-408.
  • [161]Horne JS, Garton EO, Krone SM, Lewis JS: Analyzing animal movements using Brownian bridges. Ecology 2007, 88(9):2354-2363.
  • [162]Kranstauber B, Safi K, Bartumeus F: Bivariate Gaussian bridges: directional factorization of diffusion in Brownian bridge models. Move Ecol 2014, 2(5):10.
  • [163]Morales JM, Haydon DT, Frair J, Holsiner KE, Fryxell JM: Extracting more out of relocation data: building movement models as mixture of random walks. Ecology 2004, 85:2436-2445.
  • [164]Forester JD, Ives AR, Turner MG, Anderson DP, Fortin DP, Beyer HL, Smith DW, Boyce MS: State-space models link elk movement patterns to landscape characteristics in Yellowstone National Park. Ecol Monogr 2007, 77:285-299.
  • [165]Patterson TA, Thomas L, Wilcox C, Ovaskainen O, Matthiopolous J: State-space models of individual animal movement. Trends Ecol Evol 2008, 23:87-94.
  • [166]Langrock R, King R, Matthiopoulos J, Thomas L, Fortin D, Morales JM: Flexible and practical modeling of animal telemetry data: hidden markov models and extension. Ecology 2012, 93:2336-2342.
  • [167]Knell AS, Codling EA: Classifying area-restricted search (ARS) using a partial sum approach. Theor Ecol 2012, 5:325-339.
  • [168]Kenkre VM: Coupled wave-like and diffusive motion of excitons. Phys Lett A 1974, 47:119-120.
  • [169]Kenkre VM, Knox RS: Generalized-master-equation theory of excitation transfer. Phys Rev B 1974, 9:5279-5290.
  • [170]Benhamou S, Bovet P: Distinguishing between elementary orientation mechanisms by means of path analysis. Anim Behav 1992, 43(3):371-377.
  • [171]Benhamou S: On the expected net displacement of animals’ random movements. Ecol Model 2004, 171(1):207-208.
  • [172]Kölzsch A, Blasius B: Theoretical approaches to bird migration. Eur Phys J Special Topics 2008, 157(1):191-208.
  • [173]Nouvellet P, Bacon JP, Waxman D: Fundamental insights into the random movement of animals from a single distance-related statistics. Am Nat 2009, 174(4):506-514.
  • [174]Bunnefeld N, Börger L, van Moorter B, Rolandsen CM, Dettki H, Solberg EJ, Ericsson G: A model-driven approach to quantify migration patterns: individual, regional and yearly differences. J Anim Ecol 2011, 80:466-476.
  • [175]Grigolini P, Leddon D, Scafetta N: Diffusion entropy and waiting time statistics of hard-x-ray solar flares. Phys Rev E 2002, 65(4):046203.
  • [176]Scafetta N, Grigolini P: Scaling detection in time series: diffusion entropy analysis. Phys Rev E 2002, 66(3):036130.
  • [177]Hurst HE, Black RP, Simaika YM: Long-term Storage: an Experimental Study. Constable, London; 1965.
  • [178]West BJ, Bologna M, Grigolini P: Physics of Fractal Operators. Springer, New York; 2003.
  • [179]Hapca S, Crawford JW, Young IM: Anomalous diffusion of heterogeneous populations characterized by normal diffusion at the individual level. J R Soc Interface 2009, 6(30):111-122.
  • [180]Plank MJ, Codling EA: Sampling rate and misidentification of lévy and non-lévy movement paths. Ecology 2009, 90:3546-3553.
  • [181]Petrovskii S, Mashanova A, Jansen VAA: Variation in individual walking behavior creates the impression of a Lévy flight. Proc Natl Acad Sci USA 2011, 108(21):8704-8707.
  • [182]Gaucherel C: Wavelet analysis to detect regime shifts in animal movement. Comput Ecol Softw 2011, 1:69-85.
  • [183]Riotte-Lambert L, Benhamou S, Chamaillé-Jammes S: Periodicity analysis of movement recursions. J Theor Biol 2013, 317:238-243.
  • [184]Tejedor V, Schad M, Bénichou O, Voituriez R, Metzler R: Encounter distribution of two random walkers on a finite one-dimensional interval. J Phys A: Math Theor 2011, 44:395005.
  • [185]Boyer D, Dean DS: On the distribution of estimators of diffusion constants for Brownian motion. J Phys A: Math Theor 2011, 44:335003.
  • [186]Boyer D, Dean DS, Mejia-Monasterio C, Oshanin G: Optimal estimates of the diffusion coefficient of a single brownian trajectory. Phys Rev E 2012, 85:031136.
  • [187]Giuggioli L, Robles AH, Templey S, Zinyuk LE, Jones MW: Efficient Foraging Strategies in Confined Space: Coverage Time and the Effective Persistence of an Animal’s Walk: University of Bristol preprint; 2014.
  • [188]Potts JR, Harris S, Giuggioli L: Quantifying behavioral changes in territorial animals caused by sudden population declines. Am Nat 2013, 182(3):E73—E82.
  • [189]Millar RB: Statistics in Practice, in Maximum Likelihood Estimation and Inference: with Examples in R, SAS and ADMB. John Wiley & Sons, Chichester; 2011.
  • [190]Nelder JA, Mead R: A simplex method for function minimization. Comput J 1965, 7:308-313.
  • [191]Lagarias JC, Reed JA, Wright MH, Wright PE: Convergence properties of the Nelder-Mead simplex method in low dimensions. SIAM J Optimiz 1998, 9:112-147.
  • [192]Wasserman L: All of Statistics: a Concise Course in Statistical Inference, 2nd edn. Springer, New York; 2004.
  • [193]Redner S: A Guide to First-passage Processes. Cambridge University Press, Cambridge; 2001.
  • [194]Berbert JM, Fagan WF: How the interplay between individual spatial memory and landscape persistence can generate population distribution patterns. Ecol Complex 2012, 12:1-12.
  • [195]Maher CR, Lott DF: A review of ecological determinants of territoriality within vertebrate species. Am Midl Nat 2000, 143:1-29.
  • [196]López-Bao JV, Rodríguez A, Delibes M, Fedriani JM, Calzada J, Ferreras P, Palomares F: Revisiting food-based models of territoriality in solitary predators. J Anim Ecol 2014, 83(4):934-942.
  • [197]Hemker TP, Lindzey FG, Ackerman BB: Population characteristics and movement patterns of cougars in southern Utah. J Wildlife Manage 1984, 48:1275-1284.
  • [198]Mattisson J, Persson J, Andrén H, Segerström P: Temporal and spatial interactions between an obligate predator, the Eurasian lynx (Lynx lynx): and a facultative scavenger, the wolverine (Gulo gulo). Can J Zoolog 2011, 89:79-89.
  • [199]Stamps JA, Krishnan VV: A learning-based model of territory establishment. Q Rev Biol 1999, 74:291-318.
  • [200]Stamps JA, Krishnan VV: How territorial animals compete for divisible space: a learning-based model with unequal competitors. Am Nat 2001, 157:154-169.
  • [201]Fagan WF, Lewis MA, Auger-Méthé M, Avgar T, Benhamou S, Breed G, LaDage L, Schlägel UE, Tang W, Papastamatiou YP, Forester J, Mueller T: Spatial memory and animal movement. Ecol Lett 2013, 16:1316-1329.
  • [202]Nowak MA, Sigmund K: Games on grids. In The Geometry of Ecological Interactions: Simplifying Spatial Complexity. Edited by Dieckmann U, Law R, Metz JAJ. Cambridge University Press, New York; 2000:135-150.
  • [203]Fawcett TW, Fallenstein B, Higginson AD, Houston AI, Mallpress DEW, Trimmer PC, McNamara JM: Using first-passage time in the analysis of area-restricted search and habitat selection. Trends Cogn Sci 2014, 18(3):153-161.
  • [204]van Moorter B, Visscher D, Benhamou S, Börger L, Boyce MS, Gaillard J-M: Memory keeps you at home: a mechanistic model for home range emergence. Oikos 2009, 118:641-652.
  • [205]Fronhofer EA, Hovestadt T, Poethke HJ: From random walks to informed movement. Oikos 2013, 122:857-866.
  • [206]Gorman ML, Trowbridge BJ: The role of odors in the social lives of carnivores. In Carnivore Behavior, Ecology, and Evolution. Edited by Gittleman JL. Cornell University Press, Cornell; 1989:57-88.
  • [207]Hutchings MR, Service KM, Harris S: Defecation and urination patterns of badgersMeles meles at low density in southwest England. Acta Theriol 2001, 46:87-96.
  • [208]Macdonald DW: Patterns of scent marking with urine and faeces amongst carnivore communities. Symp Zool Soc Lond 1980, 45:107-139.
  • [209]Kruuk H: Scent marking by otters (Lutra lutra:) signalling the use of resources. Behav Ecol 1992, 3:133-140.
  • [210]Pulliainen E: Scent-marking in the pine marten (Martes martes) in Finnish forest Lapland in winter. Z Saugetierkd 1982, 47:91-99.
  • [211]Mills MGL, Gorman ML: The scent-marking behaviour of the spotted hyaenaCrocuta crocuta in the southern Kalahari. J Zool 2009, 212(3):483-497.
  • [212]Jordan NR, Cherry MI, Manser MB: Latrine distribution and patterns of use by wild meerkats: implications for territory and mate defence. Anim Behav 2007, 73:613-622.
  • [213]Kilshaw K, Newman C, Buesching C, Bunyan J, Macdonald DW: Coordinated latrine use by European badgers,Meles meles: potential consequences for territory defense. J Mammal 2009, 90:1188-1198.
  • [214]Hutchinson JMC, White PCL: Mustelid scent-marking in managed ecosystems: implications for population management. Mammal Rev 2000, 30(3):157-169.
  • [215]Bénichou O, Voituriez R: From first-passage times of random walks in confinement to geometry-controlled kinetics. Phys Rep 2014, 539:225-284.
  • [216]Kenkre VM, Giuggioli L, Kalay Z: Molecular motion in cell membranes: analytic study of fence-hindered random walks. Phys Rev E 2008, 77:051907.
  • [217]Marten F, Tsaneva-Atanasova K, Giuggioli L: Bacterial secretion and the role of diffusive and subdiffusive first passage processes. PLoS ONE 2012, 7(8):41421.
  • [218]Sillero-Zubiri C, Macdonald DW: Scent-marking and territorial behavior of Ethiopian wolvesCanis simensis. J Zool 1998, 245:351-361.
  • [219]Vache M, Ferron J, Gouat P: The ability of red squirrels (Tamiasciurus hudsonicus) to discriminate conspecific olfactory signatures. Can J Zoolog 2001, 79:1296-1300.
  • [220]Miller KV, Jemiolo B, Gassett JW, Jelinek I, Wiesler D, Novotny M: Putative chemical signals from white-tailed deer (Odocoileus virginianus): social and seasonal effects on urinary volatile excretion in males. J Chem Ecol 1998, 24:673-683.
  • [221]Stimpson J: Territorial behavior of the owl limpet,Lottia gigantea. Ecology 1970, 51:113-118.
  • [222]Stimpson J: The role of territory on the ecology of the intertidal limpet,Lottia gigantea. Ecology 1973, 54:1020-1030.
  • [223]Wright WG: Ritualized behavior in a territorial limpet. J Exp Mar Biol Ecol 1982, 60:245-251.
  • [224]Wright WG, Shanks AL: Previous experience determines territorial behavior in an archaeogastropod limpet. J Exp Mar Biol Ecol 1993, 166:217-229.
  • [225]Bretz DD: Behaviorally important characteristics of the mucous trail of the marine gastropod ilyanassa obsoleta (say). J Exp Mar Biol Ecol 1983, 71:181-191.
  • [226]Shanks AL: Previous agonistic experience determines both foraging behavior and territoriality in the limpetLottia gigantea (soweby). Behav Ecol 2002, 13:467-471.
  • [227]Waser PM: Sociality or territorial defense? The influence of resource renewal. Behav Ecol Sociobiol 1981, 8:231-237.
  • [228]Pyke GH: The economics of territory size and time budget in the golden-winged sunbird. Am Nat 1979, 114:131-145.
  • [229]Rubenstein DI: Individual variation and competition in the everglades pygmy sunfish. J Anim Ecol 1981, 50:337-350.
  • [230]Butail S, Manoukis N, Diallo M, Ribeiro JM, Lehmann T, Paley DA: Reconstructing the flight kinematics of swarming and mating in wild mosquitoes. J Roy Soc Interface 2012, 9:2624-2638.
  • [231]Attanasi A, Cavagna A, Castello LD, Giardina I, Melillo S, Parisi L, Pohl O, Rossaro B, Shen E, Silvestri E, Viale M: Collective behaviour without collective order in wild swarms of midges2014. arXiv preprint arXiv:1307.5631.
  • [232]Kelley DH, Ouellette NT: Emergent dynamics of laboratory insect swarms. Sci Rep 2013, 3:1073.
  • [233]Giuggioli L, McKetterick TJ, Hoderied M: Delayed Response and Biosonar Perception Explain Movement Coordination in Trawling Bats; 2014.
  • [234]McKetterick TJ, Giuggioli L: Exact Dynamics of Stochastic Linear Delayed Systems: Application to Spatio-Temporal Coordination of Co-moving Agents: University of Bristol preprint; 2014.
  • [235]McDonald RA, Delahay RJ, Carter SP, Smith GC, Cheesman CL: Perturbing implications of wildlife ecology for disease control. Trends Ecol Evol 2007, 23(2):53-56.
  • [236]Giuggioli L, Pérez-Becker S, Sanders DP: Encounter times in overlapping domains: application to epidemic spread in a population of territorial animals. Phys Rev Lett 2013, 110:058103.
  • [237]Dumonteil E, Majumdar SN, Rosso A, Zoia A: Spatial extent of an outbreak in animal epidemics. Proc Natl Acad Sci USA 2013, 1110(11):4239-4244.
  • [238]Cohen-Tannoudji C, Diu B, Laloë F: Quantum Mechanics Vol. II. John Wiley & Sons, Paris; 1977.
  • [239]Kenkre VM: Theory of exciton annihilation in molecular crystals. Phys Rev B 1980, 22:2089-2098.
  文献评价指标  
  下载次数:58次 浏览次数:11次