Analysis of animal accelerometer data using hidden Markov models
Abstract
Summary: Use of accelerometers is now widespread within animal biologging as they provide a means of measuring an animal's activity in a meaningful and quantitative way where direct observation is not possible. In sequential acceleration data, there is a natural dependence between observations of behaviour, a fact that has been largely ignored in most analyses. Analyses of acceleration data where serial dependence has been explicitly modelled have largely relied on hidden Markov models ( HMM s). Depending on the aim of an analysis, an HMM can be used for state prediction or to make inferences about drivers of behaviour. For state prediction, a supervised learning approach can be applied. That is, an HMM is trained to classify unlabelled acceleration data into a finite set of pre‐specified categories. An unsupervised learning approach can be used to infer new aspects of animal behaviour when biologically meaningful response variables are used, with the caveat that the states may not map to specific behaviours. We provide the details necessary to implement and assess an HMM in both the supervised and unsupervised learning context and discuss the data requirements of each case. We outline two applications to marine and aerial systems (shark and eagle) taking the unsupervised learning approach, which is more readily applicable to animal activity measured in the field. HMM s were used to infer the effects of temporal, atmospheric and tidal inputs on animal behaviour. Animal accelerometer data allow ecologists to identify important correlates and drivers of animal activity (and hence behaviour). The HMM framework is well suited to deal with the main features commonly observed in accelerometer data and can easily be extended to suit a wide range of types of animal activity data. The ability to combine direct observations of animal activity with statistical models, which account for the features of accelerometer data, offers a new way to quantify animal behaviour and energetic expenditure and to deepen our insights into individual behaviour as a constituent of populations and ecosystems.
Integrity signals
Registry
Cites
Statistics
Claims the paper makes
Claims other papers make about this one
Each is checked against this paper’s own text: does it say what the citing paper says it does?
An animal's time-activity budget can be estimated using a hidden Markov model (HMM) to decode behavioral state from acceleration.
“Furthermore, an animal's time-activity budget can be estimated using a hidden Markov model (HMM) to decode behavioral state from acceleration [42,43].”
From Seasonal activity levels of a farm-island population of striated caracaras (Phalcoboenus australis) in the Falkland Islands (2020) · cites this paper as [42]
Hidden Markov models allow identification of relevant changes in behavioral intensity (activity versus rest) while taking into account the serial dependence between observations.
“We used hidden Markov models (HMMs) to infer behavioral states from the 10-Hz acceleration data as they allow identification of relevant changes in behavioral intensity, i.e., activity versus rest, taking into account the serial dependence between observations [42,70].”
From Seasonal activity levels of a farm-island population of striated caracaras (Phalcoboenus australis) in the Falkland Islands (2020) · cites this paper as [42]
Cites
The Elements of Statistical Learning
Hastie, T., Friedman, J., & Tibshirani, R. (2001) · Springer Series in Statistics · doi:10.1007/978-0-387-21606-5 · Cited by 24,162 · see citing works
A tutorial on hidden Markov models and selected applications in speech recognition
Rabiner, L. R. (1989) · Proceedings of the IEEE · doi:10.1109/5.18626 · Cited by 22,743 · see citing works
Activity Recognition from User-Annotated Acceleration Data
Bao, L., & Intille, S. S. (2004) · Lecture Notes in Computer Science · doi:10.1007/978-3-540-24646-6_1 · Cited by 3,147 · see citing works
Activity recognition from accelerometer data
Ravi, N., Dandekar, N., Mysore, P., & Littman, M. L. (2005) · Cited by 1,434 · see citing works
Information Criteria and Statistical Modeling
Konishi, S., & Kitagawa, G. (2007) · Springer series in statistics · doi:10.1007/978-0-387-71887-3 · Cited by 981 · see citing works
The hierarchical hidden Markov model: Analysis and applications
Fine, S., Singer, Y., & Tishby, N. (1998) · Machine Learning · doi:10.1023/a:1007469218079 · Cited by 906 · see citing works
WILSON, R. P., WHITE, C. R., QUINTANA, F., HALSEY, L. G., LIEBSCH, N., MARTIN, G. R., & BUTLER, P. J. (2006) · Journal of Animal Ecology · doi:10.1111/j.1365-2656.2006.01127.x · Cited by 797 · see citing works
Machine Learning Methods for Classifying Human Physical Activity from On-Body Accelerometers
Mannini, A., & Sabatini, A. M. (2010) · Sensors · doi:10.3390/s100201154 · Cited by 785 · see citing works
Observing the unwatchable through acceleration logging of animal behavior
Brown, D. D., Kays, R., Wikelski, M. C., Wilson, R. P., & Klimley, A. P. (2013) · Animal Biotelemetry · doi:10.1186/2050-3385-1-20 · Cited by 627 · see citing works
Comparative study on classifying human activities with miniature inertial and magnetic sensors
Altun, K., Barshan, B., & Tunçel, O. (2010) · Pattern Recognition · doi:10.1016/j.patcog.2010.04.019 · Cited by 564 · see citing works
Identification of animal movement patterns using tri-axial accelerometry
Shepard, E. L. C., Wilson, R., Quintana, F., Laich, A. G., Liebsch, N., Albareda, D., Halsey, L. G., Gleiss, A. C., Morgan, D., Myers, A., et al. (2008) · Endangered Species Research · doi:10.3354/esr00084 · Cited by 535 · see citing works
Nathan, R., Spiegel, O., Fortmann‐Roe, S., Harel, R., Wikelski, M. C., & Getz, W. M. (2012) · Journal of Experimental Biology · doi:10.1242/jeb.058602 · Cited by 502 · see citing works
Gleiss, A. C., Wilson, R. P., & Shepard, E. L. C. (2010) · Methods in Ecology and Evolution · doi:10.1111/j.2041-210x.2010.00057.x · Cited by 476 · see citing works
Prying into the intimate details of animal lives: use of a daily diary on animals
Wilson, R. P., Shepard, E. L. C., & Liebsch, N. (2007) · Endangered Species Research · doi:10.3354/esr00064 · Cited by 473 · see citing works
Flexible and practical modeling of animal telemetry data: hidden Markov models and extensions
Langrock, R., King, R., Matthiopoulos, J., Thomas, L., Fortin, D., & Morales, J. M. (2012) · Ecology · doi:10.1890/11-2241.1 · Cited by 465 · see citing works
Self-citationCan Ethograms Be Automatically Generated Using Body Acceleration Data from Free-Ranging Birds?
Sakamoto, K. Q., Sato, K., Ishizuka, M., Watanuki, Y., Takahashi, A., Daunt, F., & Wanless, S. (2009) · PLoS ONE · doi:10.1371/journal.pone.0005379 · Cited by 437 · see citing works
Activity Recognition of Assembly Tasks Using Body-Worn Microphones and Accelerometers
Ward, J. A., Lukowicz, P., Troster, G., & Starner, T. E. (2006) · IEEE Transactions on Pattern Analysis and Machine Intelligence · doi:10.1109/tpami.2006.197 · Cited by 431 · see citing works
Martiskainen, P., Järvinen, M., Skön, J.-P., Tiirikainen, J., Kolehmainen, M., & Mononen, J. (2009) · Applied Animal Behaviour Science · doi:10.1016/j.applanim.2009.03.005 · Cited by 405 · see citing works
Qasem, L., Cardew, A., Wilson, A., Griffiths, I., Halsey, L. G., Shepard, E. L. C., Gleiss, A. C., & Wilson, R. (2012) · PLoS ONE · doi:10.1371/journal.pone.0031187 · Cited by 399 · see citing works
Hidden Markov Models for Time Series
Zucchini, W., MacDonald, I. L., & Langrock, R. (2017) · Chapman & Hall/CRC eBooks · doi:10.1201/b20790 · Cited by 399 · see citing works
Self-citationClassifying movement behaviour in relation to environmental conditions using hidden Markov models
Patterson, T. A., Basson, M., Bravington, M. V., & Gunn, J. (2009) · Journal of Animal Ecology · doi:10.1111/j.1365-2656.2009.01583.x · Cited by 335 · see citing works
Self-citationSOARING BEHAVIOUR AND PERFORMANCE OF SOME EAST AFRICAN BIRDS, OBSERVED FROM A MOTOR‐GLIDER
Pennycuick, C. J. (1972) · Ibis · doi:10.1111/j.1474-919x.1972.tb02603.x · Cited by 306 · see citing works
A flexible GPS tracking system for studying bird behaviour at multiple scales
Bouten, W., Baaij, E., Shamoun-Baranes, J. Z., & Camphuysen, C. J. (2012) · Journal für Ornithologie · doi:10.1007/s10336-012-0908-1 · Cited by 295 · see citing works
Linking animal-borne video to accelerometers reveals prey capture variability
Watanabe, Y. Y., & Takahashi, A. (2013) · Proceedings of the National Academy of Sciences · doi:10.1073/pnas.1216244110 · Cited by 239 · see citing works
Self-citationKeeping momentum with a mouthful of water: behavior and kinematics of humpback whale lunge feeding
Simon, M. J., Johnson, M. P., & Madsen, P. T. (2012) · Journal of Experimental Biology · doi:10.1242/jeb.071092 · Cited by 189 · see citing works
Comparisons of four methods of estimating physical activity in adult women
Leenders, N., Sherman, W. M., & Nagaraja, H. N. (2000) · Medicine & Science in Sports & Exercise · doi:10.1097/00005768-200007000-00021 · Cited by 161 · see citing works
Accelerometry predicts daily energy expenditure in a bird with high activity levels
Elliott, K. H., Vaillant, M. L., Kato, A., Speakman, J. R., & Ropert‐Coudert, Y. (2012) · Biology Letters · doi:10.1098/rsbl.2012.0919 · Cited by 137 · see citing works
Drivers of Daily Routines in an Ectothermic Marine Predator: Hunt Warm, Rest Warmer?
Papastamatiou, Y. P., Watanabe, Y. Y., Bradley, D., Dee, L. E., Weng, K. C., Lowe, C. G., & Caselle, J. E. (2015) · PLoS ONE · doi:10.1371/journal.pone.0127807 · Cited by 122 · see citing works
Self-citationPennycuick, C. J. (2008) · Theoretical ecology/Theoretical ecology series · doi:10.1016/s1875-306x(08)00020-8 · Cited by 119 · see citing works
The slowest fish: Swim speed and tail-beat frequency of Greenland sharks
Watanabe, Y. Y., Lydersen, C., Fisk, A. T., & Kovacs, K. M. (2012) · Journal of Experimental Marine Biology and Ecology · doi:10.1016/j.jembe.2012.04.021 · Cited by 114 · see citing works
Self-citationGraf, P. M., Wilson, R. P., Qasem, L. A., Hackländer, K., & Rosell, F. (2015) · PLoS ONE · doi:10.1371/journal.pone.0136751 · Cited by 101 · see citing works
Gleiss, A. C., Wright, S. R., Liebsch, N., Wilson, R. P., & Norman, B. M. (2013) · Marine Biology · doi:10.1007/s00227-013-2288-3 · Cited by 99 · see citing works
Ydesen, K., Wiśniewska, D. M., Hansen, J. D., Beedholm, K., Johnson, M. P., & Madsen, P. T. (2014) · Journal of Experimental Biology · doi:10.1242/jeb.100016 · Cited by 95 · see citing works
Supervised accelerometry analysis can identify prey capture by penguins at sea
Carroll, G., Slip, D. J., Jonsen, I. D., & Harcourt, R. G. (2014) · Journal of Experimental Biology · doi:10.1242/jeb.113076 · Cited by 91 · see citing works
Can accelerometry be used to distinguish between flight types in soaring birds?
Williams, H. J., Shepard, E. L. C., Duriez, O., & Lambertucci, S. A. (2015) · Animal Biotelemetry · doi:10.1186/s40317-015-0077-0 · Cited by 90 · see citing works
Flight responses by a migratory soaring raptor to changing meteorological conditions
Lanzone, M., Miller, T. A., Turk, P. J., Brandes, D. W., Halverson, C., Maisonneuve, C., Tremblay, J. A., Cooper, J. L., O’Malley, K. D., Brooks, R. P., et al. (2012) · Biology Letters · doi:10.1098/rsbl.2012.0359 · Cited by 87 · see citing works
Thermal soaring flight of birds and unmanned aerial vehicles
Ákos, Z., Nagy, M., Leven, S., et al. (2010) · Bioinspiration & Biomimetics · doi:10.1088/1748-3182/5/4/045003 · Cited by 85 · see citing works
Real-time Daily Activity Classification with Wireless Sensor Networks using Hidden Markov Model
He, J., Li, H., & Tan, J. (2007) · Conference proceedings · doi:10.1109/iembs.2007.4353008 · Cited by 85 · see citing works
Hidden Markov models with arbitrary state dwell-time distributions
Langrock, R., & Zucchini, W. (2010) · Computational Statistics & Data Analysis · doi:10.1016/j.csda.2010.06.015 · Cited by 77 · see citing works
Self-citationFine-scale feeding behavior of Weddell seals revealed by a mandible accelerometer
Naito, Y., Bornemann, H., Takahashi, A., et al. (2010) · Polar Science · doi:10.1016/j.polar.2010.05.009 · Cited by 76 · see citing works
Campbell, H. A., Gao, L., Bidder, O. R., Hunter, J., & Franklin, C. E. (2013) · Journal of Experimental Biology · doi:10.1242/jeb.089805 · Cited by 73 · see citing works
Validation of a device for accurate timing of feeding events in marine animals
Suzuki, I., Naito, Y., Folkow, L. P., et al. (2009) · Polar Biology · doi:10.1007/s00300-009-0596-3 · Cited by 72 · see citing works
Using mixed hidden Markov models to examine behavioral states in a cooperatively breeding bird
McKellar, A. E., Langrock, R., Walters, J. R., et al. (2014) · Behavioral Ecology · doi:10.1093/beheco/aru171 · Cited by 68 · see citing works
Self-citationAccelerometry-Based Classification of Human Activities Using Markov Modeling
Mannini, A., & Sabatini, A. M. (2011) · Computational Intelligence and Neuroscience · doi:10.1155/2011/647858 · Cited by 68 · see citing works
Nonparametric Inference in Hidden Markov Models Using P-Splines
Langrock, R., Kneib, T., Silbersdorff, A., & DeRuiter, S. L. (2015) · Biometrics · doi:10.1111/biom.12282 · Cited by 68 · see citing works
Self-citationA New Method to Quantify within Dive Foraging Behaviour in Marine Predators
Heerah, K., Hindell, M. A., Guinet, C., & Charrassin, J. (2014) · PLoS ONE · doi:10.1371/journal.pone.0099329 · Cited by 65 · see citing works
Numerical Maximisation of Likelihood: A Neglected Alternative to EM?
MacDonald, I. L. (2014) · International Statistical Review · doi:10.1111/insr.12041 · Cited by 62 · see citing works
Optimal hunting conditions drive circalunar behavior of a diurnal carnivore
Broekhuis, F., Grünewälder, S., McNutt, J., & Macdonald, D. (2014) · Behavioral Ecology · doi:10.1093/beheco/aru122 · Cited by 56 · see citing works
Hart, T., Mann, R. P., Coulson, T. N., Pettorelli, N., & Trathan, P. N. (2010) · Marine Biology · doi:10.1007/s00227-010-1428-2 · Cited by 31 · see citing works
Detecting surface‐feeding behavior by rorqual whales in accelerometer data
Owen, K., Dunlop, R. A., Monty, J., Chung, D., Noad, M. J., Donnelly, D. M., Goldizen, A. W., & Mackenzie, T. (2015) · Marine Mammal Science · doi:10.1111/mms.12271 · Cited by 30 · see citing works
Assessing fine-scale diel movement patterns of an exploited coral reef fish
Currey‐Randall, L. M., Heupel, M. R., Simpfendorfer, C. A., & Williams, A. J. (2015) · Animal Biotelemetry · doi:10.1186/s40317-015-0072-5 · Cited by 25 · see citing works
Phillips, J. S., Patterson, T. A., Leroy, B. M., Pilling, G. M., & Nicol, S. (2015) · Ecological Applications · doi:10.1890/14-0862.1 · Cited by 23 · see citing works
Self-citationUltraviolet radiation as disinfection for fish surgical tools
Walker, R. W., Markillie, L. M., Colotelo, A. H. A., et al. (2013) · Animal Biotelemetry · doi:10.1186/2050-3385-1-4 · Cited by 22 · see citing works
The influence of preceding dive cycles on the foraging decisions of Antarctic fur seals
Iwata, T., Sakamoto, K. Q., Edwards, E. W. J., et al. (2015) · Biology Letters · doi:10.1098/rsbl.2015.0227 · Cited by 18 · see citing works
Flagged first, then by citations
Cited by
Sorted by citations
Optimizing the use of biologgers for movement ecology research
Williams, H. J., Taylor, L. A., Benhamou, S., Bijleveld, A. I., Clay, T. A., de Grissac, S., Demšar, U., English, H. M., Franconi, N., Gómez‐Laich, A., et al. (2020) · Journal of Animal Ecology · doi:10.1111/1365-2656.13094 · Cited by 333 · see citing works
Pohle, J., Langrock, R., van Beest, F. M., & Schmidt, N. M. (2017) · Journal of Agricultural, Biological and Environmental Statistics · doi:10.1007/s13253-017-0283-8 · Cited by 288 · see citing works
Self-citationPapastamatiou, Y. P., Watanabe, Y. Y., Demšar, U., Leos-Barajas, V., Bradley, D., Langrock, R., Weng, K., Lowe, C. G., Friedlander, A. M., & Caselle, J. E. (2018) · Movement Ecology · doi:10.1186/s40462-018-0127-3 · Cited by 86 · see citing works
Self-citationA comparison of techniques for classifying behavior from accelerometers for two species of seabird
Patterson, A., Gilchrist, H. G., Chivers, L., Hatch, S., & Elliott, K. (2019) · Ecology and Evolution · doi:10.1002/ece3.4740 · Cited by 75 · see citing works
Harrington, K. J., Fahlbusch, J. A., Langrock, R., Therrien, J.-F., Houtz, J. L., & McDonald, B. I. (2020) · Animal Biotelemetry · doi:10.1186/s40317-020-00214-y · Cited by 7 · see citing works
Self-citation
- Authors
- Leos‐Barajas, V., Photopoulou, T., Langrock, R., Patterson, T. A., Watanabe, Y. Y., Murgatroyd, M., & Papastamatiou, Y. P.
- Affiliations
- Department of Statistics Iowa State University Snedecor Hall Ames IA 50011 USA
- University of Cape Town (ZA)
- Bielefeld University (DE)
- CSIRO Oceans and Atmosphere (AU)
- The Graduate University for Advanced Studies, SOKENDAI (JP)
- University of St Andrews (GB)
- ORCID
- Venue
- Methods in Ecology and Evolution
- Publisher
- Wiley
- Published
- 2016-10-24
- Volume
- 8
- Issue
- 2
- Pages
- 161-173
- ISSN
- 2041-210X (ISSN-L)
- OpenAlex
- W2278434462
- Cited by
- 187
- References
- 54
- Citations by year
- 2026: 13 · 2025: 16 · 2024: 27 · 2023: 21 · 2022: 25 · 2021: 29 · 2020: 14 · 2019: 17 · 2018: 11 · 2017: 13 · 2016: 1
- FWCI
- 12.20
- Type
- journal article
- Language
- en
- Open access
- closed
- Locations
- Methods in Ecology and Evolution (publishedVersion)
- Florida International University Digital Commons (Florida International University) (submittedVersion)
- Nelson Mandela University Research Repository (submittedVersion)
- St Andrews Research Repository (St Andrews Research Repository) (submittedVersion)
- Funders
- Japan Society for the Promotion of Science (25850138)
- Scottish Funding Council (HR09011)
- Topics
- Physical Sciences › Environmental Science › Ecology › Wildlife Ecology and Conservation
- Physical Sciences › Environmental Science › Ecology › Marine animal studies overview
- Social Sciences › Transportation › Human Mobility and Location-Based Analysis
- Keywords
- hidden Markov models, animal behavior, serial dependence, supervised learning, unsupervised learning, shark behavior, tidal effects, atmospheric effects, time effects, energy expenditure, marine fauna
About these checks
Registry, retraction, Cites and statistics results are computed, not judged, with one exception: a printed reference that no index lists is read once by a model before it counts as a citation error. Claims are extracted by a model and kept only when their quote appears verbatim in the text; each cited source is then checked, with a model’s help, for whether it says what the claim relies on. Those verdicts can be wrong — read the claim’s quote and the cited source before relying on one.
Statistics and arithmetic are recomputed, not judged.
Confidence bands are shown only for fields calibrated on our annotated test set. None is calibrated yet, so no band is shown.
What counts as a claim ›How we measure confidence ›How we check this ›
Are you an author, or do you see a problem with this page? Request a review