Mandelbrot BB (1977) The fractal geometry of nature. W.H. Freeman and Company, New York
Google Scholar
Viswanathan GM, Afanasyev V, Buldyrev SV, Murphy EJ, Prince P, Stanley HE (1996) Lévy flight search patterns of wandering albatrosses. Nature 381:413–415
Article
CAS
Google Scholar
Boyer D, Miramontes O, Ramos-Fernández G, Mateos JL, Cocho G (2004) Modeling the searching behaviour of social monkeys. Phys A Stat Mech Appl 342(1–2):329–335
Article
Google Scholar
Bartumeus F, Levin SA (2008) Fractal reorientation clocks: linking animal behaviour to statistical patterns of search. Proc Natl Acad Sci USA 105(49):19072–19077
Article
PubMed Central
CAS
PubMed
Google Scholar
Sims DW, Southall EJ, Humphries NE, Hays GC, Bradshaw CJA, Pitchford JW et al (2008) Scaling laws of marine predator search behaviour. Nature 451(7182):1098–1103
Article
CAS
PubMed
Google Scholar
MacIntosh AJJ, Alados CL, Huffman MA (2011) Fractal analysis of behaviour in a wild primate: behavioural complexity in health and disease. J R Soc Interface 8(63):1497–1509
Article
PubMed Central
PubMed
Google Scholar
Wearmouth VJ, McHugh MJ, Humphries NE, Naegelen A, Ahmed MZ, Southall EJ et al (2014) Scaling laws of ambush predator ‘waiting’ behaviour are tuned to a common ecology. Proc R Soc B 281(1782):20132997
Article
PubMed Central
PubMed
Google Scholar
Bartumeus F (2007) Lévy processes in animal movement: an evolutionary hypothesis. Fractals 15(2):151–162
Article
Google Scholar
Viswanathan GM, Raposo EP, Da Luz MGE (2008) Lévy flights and superdiffusion in the context of biological encounters and random searches. Phys Life Rev 5(3):133–150
Article
Google Scholar
Viswanathan GM, Da Luz MGE, Raposo EP, Stanley HE (2011) The physics of foraging. Cambridge University Press, Cambridge
Book
Google Scholar
Humphries NE, Weimerskirch H, Queiroz N, Southall EJ, Sims DW (2012) Foraging success of biological Lévy flights recorded in situ. Proc Natl Acad Sci USA 109(19):7169–7174
Article
PubMed Central
CAS
PubMed
Google Scholar
Dicke M, Burrough PA (1988) Using fractal dimensions for characterizing tortuosity of animal trails. Physiol Entomol 13:393–398
Article
Google Scholar
Crist TO, Guertin DS, Wiens JA, Milne BT (1992) Animal movement in heterogeneous landscapes: an experiment with Eleodes beetles in shortgrass prairie. Funct Ecol 6:536–544
Article
Google Scholar
Johnson AR, Wiens JA, Milne BT, Crist TO (1992) Animal movements and population dynamics in heterogeneous landscapes. Landsc Ecol 7:63–75
Article
Google Scholar
Wiens JA, Crist TO, Milne BT (1993) On quantifying insect movements. Environ Entomol 22(4):709–715
Article
Google Scholar
Wiens JA, Crist TO, With KA, Milne BT (1995) Fractal pattern of insect movement in microlandscape mosaics. Ecology 76:663–666
Article
Google Scholar
Asher L, Collins LM, Ortiz-Pelaez A, Drewe JA, Nicol CJ, Pfeiffer DU (2009) Recent advances in the analysis of behavioural organization and interpretation as indicators of animal welfare. Interface 6(41):1103–1119
PubMed Central
PubMed
Google Scholar
MacIntosh AJJ (2014) The fractal primate: interdisciplinary science and the math behind the monkey. Primate Res 1–26
Camazine S, Deneubourg J-L, Franks NR, Sneyd J, Theraulaz G, Bonabeau E (2001) Self-organization in biological systems. Princeton University Press, Princeton
Google Scholar
Bradbury JW, Vehrencamp SL (2014) Complexity and behavioural ecology. Behav Ecol 00:1–8
CAS
Google Scholar
West BJ (1990) Physiology in fractal dimensions: error tolerance. Ann Biomed Eng 18:135–149
Article
CAS
PubMed
Google Scholar
Peng CK, Havlin S (1995) Quantification of scaling exponents and crossover phenomena in nonstationary heartbeat time series. Chaos 5:82–87
Article
CAS
PubMed
Google Scholar
Hausdorff JM, Peng CK, Ladin Z, Wei JY, Goldberger AL (1995) Is walking a random walk? Evidence for long-range correlations in stride interval of human gait. J Appl Physiol 79:349–358
Google Scholar
Abásolo D, Hornero R, Escudero J, Espino P (2008) A study on the possible usefulness of detrended fluctuation analysis of the electroencephalogram background activity in Alzheimer’s disease. IEEE Trans Biomed Eng 55(9):2171–2179
Article
PubMed
Google Scholar
Alados CL, Escos JM, Emlen JM (1996) Fractal structure of sequential behaviour patterns: an indicator of stress. Anim Behav 51(2):437–443
Article
Google Scholar
Rutherford KMD, Haskell MJ, Glasbey C, Jones RB, Lawrence AB (2003) Detrented fluctuation analysis of behavioural responses to mild acute stressors in domestic hens. Appl Anim Behav Sci 83(12):125–132
Article
Google Scholar
Rutherford K, Haskell M, Glasbey C, Jones RB, Lawrence AB (2004) Fractal analysis of animal behaviour as an indicator of animal welfare. Anim Welf 13:99–103
Google Scholar
Rutherford KMD, Haskell MJ, Glasbey C, Lawrence AB (2006) The responses of growing pigs to a chronic-intermittent stress treatment. Physiol Behav 89(5):670–680
Article
CAS
PubMed
Google Scholar
Seuront L, Cribb N (2011) Fractal analysis reveals pernicious stress levels related to boat presence and type in the Indo-Pacific bottlenose dolphin, Tursiops aduncus. Physica A 390(12):2333–2339
Article
CAS
Google Scholar
Cottin M, MacIntosh A, Kato A, Takahashi A, Debin M, Raclot T, Ropert-Coudert Y (2013) Corticosterone administration leads to a transient alteration of foraging behaviour and complexity in a diving seabird. Mar Ecol Prog Ser 496:249–262
Article
Google Scholar
Kembro JM, Perillo MA, Pury PA, Satterlee DG, Marín RH (2009) Fractal analysis of the ambulation pattern of Japanese quail. Br Poult Sci 50(2):161–170
Article
CAS
PubMed
Google Scholar
Ropert-Coudert Y, Knott N, Chiaradia A, Kato A (2007) How do different data logger sizes and attachment positions affect the diving behaviour of little penguins? Deep Sea Res Part II Topical Stud Oceanogr 54(3–4):415–423
Article
Google Scholar
Ropert-Coudert Y, Wilson RP, Yoda K, Kato A (2007) Assessing performance constraints in penguins with externally-attached devices. Mar Ecol Prog Ser 333:281–289
Article
Google Scholar
Culik BM, Wilson RP (1991) Swimming energetic and performance of instrumented Adélie penguins (Pygoscelis adeliae). J Exp Biol 158:355–368
Google Scholar
Bannasch R, Wilson RP, Culik B (1994) Hydrodynamic aspects of design and attachment of a back-mounted device in penguins. J Exp Biol 194(1):83–96
Google Scholar
Fallow PM, Chiaradia A, Ropert-Coudert Y, Kato A, Reina RD (2009) Flipper bands modify the short-term diving behaviour of little penguins. J Wildl Manag 73(8):1348–1354
Article
Google Scholar
MacIntosh AJJ, Pelletier L, Chiaradia A, Kato A, Ropert-Coudert Y (1884) Temporal fractals in seabird foraging behaviour: diving through the scales of time. Nat Sci Rep 2013(3):38
Google Scholar
Peng CK, Buldyrev SV, Goldberger AL, Havlin S, Sciortino F, Simons M et al (1992) Long-range correlations in nucleotide sequences. Nature 356:168–170
Article
CAS
PubMed
Google Scholar
Taqqu M, Teverovsky V, Willinger W (1995) Estimators for long-range dependence: an empirical study. Fractals 3(4):785–788
Article
Google Scholar
Cannon MJ, Percival DB, Caccia DC, Raymond GM, Bassingthwaighte JB (1997) Evaluating scaled windowed variance methods for estimating the Hurst coefficient of time series. Phys A 241(3–4):606–626
Article
Google Scholar
Eke A, Hermán P, Bassingthwaighte JB, Raymond GM, Percival DB, Cannon M et al (2000) Physiological time series: distinguishing fractal noises from motions. Pflügers Arch Eur J Physiol 439:403–415
Article
CAS
Google Scholar
Delignières D, Torre K, Lemoine L (2005) Methodological issues in the application of monofractal analyses in psychological and behavioral research. Nonlinear Dyn Psychol Life Sci 9(4):451–477
Google Scholar
Kiraly A, Janosi IM (2004) Detrended fluctuation analysis of daily temperature records: geographic dependence over Australia. Meteorol Atmos Phys 88(3–4):119–128
Google Scholar
Seuront L (2010) Fractals and multifractals in ecology and aquatic science. CRC Press, Boca Raton
Google Scholar
Constantine W, Percival D (2014) Fractal Time Series Modeling and Analysis version 2.0-0.http://CRAN.R-project.org/package=fractal. Accessed 10 Oct 2014
R Development Core Team (2014) R: A Language and Environment for Statistical Computing. Vienna: the R Foundation for Statistical Computing. http://www.R-project.org/. Accessed 5 Mar 2015
Pinheiro J, Bates D, DebRoy S, Sarkar D, EISPACK authors R-Core: nlme (2015) Linear and Nonlinear Mixed Effects Models version 3.1-118. http://cran.r-project.org/web/packages/nlme/index.html. Accessed 5 Mar 2015
Hothorn T, Zeilis A, Farebrother RW, Cummins C, Millo G, Mitchell D (2015) Testing linear regression models version 0.9-33. http://cran.r-project.org/web/packages/lmtest/lmtest.pdf. Accessed 5 Mar 2015
Saraux C, Le Bohec C, Durant JM, Viblanc VA, Gauthier-Clerc M, Beaune D et al (2011) Reliability of flipper-banded penguins as indicators of climate change. Nature 469:203–206
Article
CAS
PubMed
Google Scholar
Gauthier-Clerc M, Gendner J-P, Ribic CA, Fraser WR, Woehler EJ, Descamps S et al (2004) Long-term effects of flipper bands on penguins. Proc R Soc Biol Sci 271(Suppl):423–426
Article
Google Scholar
Dann P, Sidhu LA, Jessop R, Renwick L, Healy M, Dettmann B et al (2014) Effects of flipper bands and injected transponders on the survival of adult Little Penguins Eudyptula minor. Ibis 156(1):73–83
Article
Google Scholar
Wilson RP, Grant WS, Duffy DC (1986) Recording devices on free-ranging marine animals: dies measurements affect foraging performance. Ecology 67:1091–1093
Article
Google Scholar
Kato A, Watanuki Y, Nishumi I, Kuroki M, Shaughnessy P, Naito Y (2000) Variation in foraging and parental behavior of king cormorants. Auk 117:718–730
Article
Google Scholar
Kooyman GL (1989) Diverse divers. Springer-Verlag, Berlin
Book
Google Scholar
Arnould JPY, Dann P, Cullen JM (2004) Determining the sex of little penguin (Eudyptula minor) in northern Bass Strait using morphometric measurements. Emu 104:261–265
Article
Google Scholar
Chiaradia A, Forero MG, Hobson K, Swearer SE, Hume F, Renwick L et al (2012) Diet segregation between two colonies of little penguins Eudyptula minor in southeast Australia. Austral Ecol 37(5):610–619
Article
Google Scholar
Cherel Y (2008) Isotopic niches of emperor and Adélie penguins in Adélie Land, Antarctica. Marine Biol 154(5):813–821
Article
Google Scholar
Wilson RP, Ropert-Coudert Y, Kato A (2002) Rush and grab strategies in foraging marine endotherms: the case for haste in penguins? Anim Behav 63:85–95
Article
Google Scholar
Ropert-Coudert Y, Wilson RP, Daunt F, Kato A (2004) Patterns of energy acquisition by penguins: benefits of alternating short and long foraging trips. Behav Ecol 15:824–830
Article
Google Scholar