{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,4,21]],"date-time":"2026-04-21T20:33:53Z","timestamp":1776803633571,"version":"3.51.2"},"reference-count":33,"publisher":"Springer Science and Business Media LLC","issue":"1","license":[{"start":{"date-parts":[[2007,5,23]],"date-time":"2007-05-23T00:00:00Z","timestamp":1179878400000},"content-version":"tdm","delay-in-days":0,"URL":"http:\/\/www.springer.com\/tdm"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Biol Cybern"],"published-print":{"date-parts":[[2007,7,3]]},"DOI":"10.1007\/s00422-007-0158-0","type":"journal-article","created":{"date-parts":[[2007,5,23]],"date-time":"2007-05-23T09:53:51Z","timestamp":1179914031000},"page":"47-61","source":"Crossref","is-referenced-by-count":140,"title":["Animal navigation: the difficulty of moving in a straight line"],"prefix":"10.1007","volume":"97","author":[{"given":"Allen","family":"Cheung","sequence":"first","affiliation":[]},{"given":"Shaowu","family":"Zhang","sequence":"additional","affiliation":[]},{"given":"Christian","family":"Stricker","sequence":"additional","affiliation":[]},{"given":"Mandyam V.","family":"Srinivasan","sequence":"additional","affiliation":[]}],"member":"297","published-online":{"date-parts":[[2007,5,23]]},"reference":[{"key":"158_CR1","volume-title":"Circular statistics in biology","author":"E Batschelet","year":"1981","unstructured":"Batschelet E (1981) Circular statistics in biology. Academic, London"},{"key":"158_CR2","doi-asserted-by":"crossref","first-page":"1","DOI":"10.1016\/S0022-5193(05)80531-4","volume":"145","author":"S Benhamou","year":"1990","unstructured":"Benhamou S, Sauv\u00e9 J-P, Bovet P (1990) Spatial memory in large scale movements: efficiency and limitation of the egocentric coding process. J Theor Biol 145:1\u201312","journal-title":"J Theor Biol"},{"key":"158_CR3","doi-asserted-by":"crossref","first-page":"419","DOI":"10.1016\/S0022-5193(88)80038-9","volume":"131","author":"P Bovet","year":"1988","unstructured":"Bovet P, Benhamou S (1988) Spatial analysis of animals\u2019 movements using a correlated random walk model. J Theor Biol 131:419\u2013433","journal-title":"J Theor Biol"},{"issue":"6","key":"158_CR4","doi-asserted-by":"crossref","first-page":"1680","DOI":"10.1890\/0012-9658(2001)082[1680:CRWEOA]2.0.CO;2","volume":"82","author":"J Byers","year":"2001","unstructured":"Byers J (2001) Correlated random walk equations of animal dispersal resolved by simulation. Ecology 82(6):1680\u20131690","journal-title":"Ecology"},{"issue":"6769","key":"158_CR5","doi-asserted-by":"crossref","first-page":"537","DOI":"10.1038\/35000564","volume":"403","author":"EA Capaldi","year":"2000","unstructured":"Capaldi EA, Smith AD, Osborne JL, Fahrbach SE, Farris SM, Reynolds DR, Edwards AS, Martin A, Robinson GE, Poppy GM, Riley JR (2000) Ontogeny of orientation flight in the honeybee revealed by harmonic radar. Nature 403(6769):537\u2013540","journal-title":"Nature"},{"key":"158_CR6","doi-asserted-by":"crossref","first-page":"45","DOI":"10.1098\/rspb.1999.0602","volume":"266","author":"L Chittka","year":"1999","unstructured":"Chittka L, Williams NM, Rasmussen H, Thomson JD (1999) Navigation without vision: Bumblebee orientation in complete darkness. Proc R Soc Lond B 266:45\u201350","journal-title":"Proc R Soc Lond B"},{"key":"158_CR7","doi-asserted-by":"crossref","first-page":"47","DOI":"10.1007\/s003590050092","volume":"181","author":"TS Collett","year":"1997","unstructured":"Collett TS, Rees JA (1997) View-based navigation in hymenoptera: multiple strategies of landmark guidance in the approach to a feeder. J Comp Physiol A 181:47\u201358","journal-title":"J Comp Physiol A"},{"key":"158_CR8","doi-asserted-by":"crossref","first-page":"33","DOI":"10.1038\/424033a","volume":"424","author":"M Dacke","year":"2003","unstructured":"Dacke M, Nilsson D-E, Scholtz C, Byrne M, Warrant EJ (2003) Animal behaviour: Insect orientation to polarized moonlight. Nature 424:33","journal-title":"Nature"},{"key":"158_CR9","doi-asserted-by":"crossref","first-page":"161","DOI":"10.1038\/24151","volume":"396","author":"AS Etienne","year":"1998","unstructured":"Etienne AS, Maurer R, Berlie J, Reverdin B, Rowe T, Georgakopoulos J, S\u00e9guinot V (1998) Navigation through vector addition. Nature 396:161\u2013164","journal-title":"Nature"},{"key":"158_CR10","doi-asserted-by":"crossref","first-page":"201","DOI":"10.1242\/jeb.199.1.201","volume":"199","author":"AS Etienne","year":"1996","unstructured":"Etienne AS, Maurer R, S\u00e9guinot V (1996) Path integration in mammals and its interaction with visual landmarks. J Exp Biol 199:201-209","journal-title":"J Exp Biol"},{"key":"158_CR11","volume-title":"The Organisation of Learning","author":"CR Gallistel","year":"1990","unstructured":"Gallistel CR (1990) The Organisation of Learning. MIT Press, Cambridge"},{"key":"158_CR12","doi-asserted-by":"crossref","first-page":"275","DOI":"10.1007\/978-3-642-70348-5_14","volume-title":"Neurobiology of arachnids","author":"P G\u00f6rner","year":"1985","unstructured":"G\u00f6rner P, Claas B (1985) Homing behavior and orientation in the funnel-web spider, Agelena labyrinthica. In: Barth FG (ed) Neurobiology of arachnids. Springer, Berlin, pp 275\u2013297"},{"key":"158_CR13","first-page":"483","volume":"73","author":"G Hartmann","year":"1995","unstructured":"Hartmann G, Wehner R (1995) The ant\u2019s path integration system: a neural architecture. Biol Cybern 73:483\u2013497","journal-title":"Biol Cybern"},{"key":"158_CR14","doi-asserted-by":"crossref","first-page":"193","DOI":"10.1109\/70.75902","volume":"7","author":"JC Ingemar","year":"1991","unstructured":"Ingemar JC (1991) Blanche\u2014an experiment in guidance and navigation of an autonomous robot vehicle. IEEE Trans Robot Autom 7:193\u2013204","journal-title":"IEEE Trans Robot Autom"},{"key":"158_CR15","doi-asserted-by":"crossref","first-page":"234","DOI":"10.1007\/BF00379695","volume":"56","author":"PM Kareiva","year":"1983","unstructured":"Kareiva PM, Shigesada N (1983) Analyzing insect movement as a correlated random walk. Oecologia 56:234\u2013238","journal-title":"Oecologia"},{"issue":"2","key":"158_CR16","doi-asserted-by":"crossref","first-page":"383","DOI":"10.2307\/1937543","volume":"70","author":"CE McCulloch","year":"1989","unstructured":"McCulloch CE, Cain ML (1989) Analyzing discrete movement data as a correlated random walk. Ecology 70(2):383\u2013388","journal-title":"Ecology"},{"key":"158_CR17","doi-asserted-by":"crossref","first-page":"2946","DOI":"10.1103\/PhysRevLett.73.2946","volume":"73","author":"RN Mantegna","year":"1994","unstructured":"Mantegna RN, Stanley HE (1994) Stochastic process with ultraslow convergence to a Gaussian: the truncated L\u00e9vy flight. Phys Rev Lett 73:2946\u20132949","journal-title":"Phys Rev Lett"},{"key":"158_CR18","volume-title":"Statistics of directional data","author":"KV Mardia","year":"1972","unstructured":"Mardia KV (1972) Statistics of directional data. Academic, London"},{"key":"158_CR19","doi-asserted-by":"crossref","first-page":"290","DOI":"10.1007\/978-3-642-68616-0_29","volume-title":"Avian navigation","author":"H Mittelstaedt","year":"1982","unstructured":"Mittelstaedt H, Mittelstaedt ML (1982) Homing by path integration. In: Papi F, Wallraff HG (eds) Avian navigation. Springer, Berlin, pp 290\u2013297"},{"key":"158_CR20","doi-asserted-by":"crossref","first-page":"22","DOI":"10.1007\/978-3-322-93432-1","volume-title":"Limit theorems and some applications in statistical physics","author":"B Nahapetian","year":"1991","unstructured":"Nahapetian B (1991) Limit theorems and some applications in statistical physics. Teubner, Leipzig, pp 22\u201323"},{"key":"158_CR21","doi-asserted-by":"crossref","first-page":"103","DOI":"10.1016\/0022-5193(74)90101-5","volume":"47","author":"R Nossal","year":"1974","unstructured":"Nossal R, Weiss G (1974) A descriptive theory of cell migration on surfaces. J Theor Biol 47:103\u2013113","journal-title":"J Theor Biol"},{"key":"158_CR22","doi-asserted-by":"crossref","first-page":"832","DOI":"10.1214\/aoms\/1177728190","volume":"27","author":"M Rosenblatt","year":"1956","unstructured":"Rosenblatt M (1956) Remarks on some nonparametric estimates of a density function. Ann Math Stat 27:832\u2013835","journal-title":"Ann Math Stat"},{"key":"158_CR23","doi-asserted-by":"crossref","first-page":"139","DOI":"10.1007\/BF00300103","volume":"11","author":"EA Seyfarth","year":"1982","unstructured":"Seyfarth EA, Hergenr\u00f6der R, Ebbes H, Barth FG (1982) Idiothetic orientation of a wandering spider: compensation of detours and estimates of goal distance. Behav Ecol Sociobiol 11:139\u2013148","journal-title":"Behav Ecol Sociobiol"},{"key":"158_CR24","doi-asserted-by":"crossref","first-page":"4959","DOI":"10.1103\/PhysRevLett.74.4959","volume":"74","author":"MF Shlesinger","year":"1995","unstructured":"Shlesinger MF (1995) Comment on \u201cStochastic process with ultraslow convergence to a Gaussian: the truncated L\u00e9vy flight\u201d. Phys Rev Lett 74:4959","journal-title":"Phys Rev Lett"},{"key":"158_CR25","first-page":"47","volume":"18","author":"S Thrun","year":"1997","unstructured":"Thrun S (1997) To know or not to know: on the utility of models in mobile robots. AI Mag 18:47\u201354","journal-title":"AI Mag"},{"key":"158_CR26","doi-asserted-by":"crossref","first-page":"911","DOI":"10.1038\/44831","volume":"401","author":"GM Viswanathan","year":"1999","unstructured":"Viswanathan GM, Buldyrev SV, Havlin S, da Luz MGE, Raposo EP, Stanley HE (1999) Optimizing the success of random searches. Nature 401:911\u2013914","journal-title":"Nature"},{"key":"158_CR27","first-page":"15","volume":"54","author":"R Wehner","year":"1987","unstructured":"Wehner R (1987) Spatial organization of foraging behavior in individually searching desert ants, Cataglyphis (Sahara Desert) and Ocymyrmex (Namib Desert). Behav Soc Insects (Experientia Supplementum) 54:15\u201342","journal-title":"Behav Soc Insects (Experientia Supplementum)"},{"key":"158_CR28","doi-asserted-by":"crossref","first-page":"45","DOI":"10.1007\/978-94-011-1588-9_3","volume-title":"Animal homing","author":"R Wehner","year":"1992","unstructured":"Wehner R (1992) Arthropods. In: Papi F (ed) Animal homing. Chapman and Hall, London, pp 45\u2013144"},{"key":"158_CR29","first-page":"103","volume":"39","author":"R Wehner","year":"1994","unstructured":"Wehner R (1994) The polarization-vision project: championing organismic biology. Fortschritte der Zoologie 39:103\u2013143","journal-title":"Fortschritte der Zoologie"},{"issue":"8","key":"158_CR30","doi-asserted-by":"crossref","first-page":"675","DOI":"10.1007\/s00359-005-0627-7","volume":"191","author":"W Wiltschko","year":"2005","unstructured":"Wiltschko W, Wiltschko R (2005) Magnetic orientation and magnetoreception in birds and other animals. J Comp Physiol A 191(8):675\u2013693","journal-title":"J Comp Physiol A"},{"key":"158_CR31","doi-asserted-by":"crossref","first-page":"569","DOI":"10.1007\/BF00199549","volume":"73","author":"T Wittmann","year":"1995","unstructured":"Wittmann T, Schwegler H (1995) Path integration\u2014a network model. Biol Cybern 73:569\u2013575","journal-title":"Biol Cybern"},{"key":"158_CR32","doi-asserted-by":"crossref","first-page":"4223","DOI":"10.1242\/jeb.01905","volume":"208","author":"H Wolf","year":"2005","unstructured":"Wolf H and Wehner R (2005) Desert ants compensate for navigation uncertainty. J Exp Biol 208:4223\u20134230","journal-title":"J Exp Biol"},{"key":"158_CR33","doi-asserted-by":"crossref","first-page":"107","DOI":"10.1242\/jeb.192.1.107","volume":"192","author":"CPE Zollikofer","year":"1994","unstructured":"Zollikofer CPE (1994) Stepping patterns in ants. II. Influence of body morphology. J Exp Biol 192:107\u2013118","journal-title":"J Exp Biol"}],"container-title":["Biological Cybernetics"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s00422-007-0158-0.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/article\/10.1007\/s00422-007-0158-0\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s00422-007-0158-0","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2021,8,14]],"date-time":"2021-08-14T01:53:40Z","timestamp":1628906020000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/s00422-007-0158-0"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2007,5,23]]},"references-count":33,"journal-issue":{"issue":"1","published-print":{"date-parts":[[2007,7,3]]}},"alternative-id":["158"],"URL":"https:\/\/doi.org\/10.1007\/s00422-007-0158-0","relation":{},"ISSN":["0340-1200","1432-0770"],"issn-type":[{"value":"0340-1200","type":"print"},{"value":"1432-0770","type":"electronic"}],"subject":[],"published":{"date-parts":[[2007,5,23]]}}}