The uncertainty associated with visual flow fields and their influence on postural sway: Weber's law suffices to explain the nonlinearity of vection
Open accessAbstract
When we stand upright, we integrate cues from multiple senses, such as vision and proprioception, to maintain and regulate our vertical posture. How these cues are combined has been the focus of a range of studies. These studies generally measured how subjects deviate from standing upright when confronted with a moving visual stimulus displayed in a virtual environment. Previous research had shown that uncertainty is central in such cue combination problems. Here we wanted to understand, quantitatively, how visual flow fields and uncertainty about them affect human posture. To do so, we combined experimental methods from perceptual psychophysics with methods from motor control studies. We used a two-alternative forced-choice paradigm to measure uncertainty as a function of the magnitude of a random-dot flow field and stimulus coherence. We subsequently measured movement amplitude as a function of visual stimulus parameters. In line with previous research, we find that sensorimotor behavior depends nonlinearly on the stimulus amplitude and, importantly, is affected by uncertainty. We find that this nonlinearity and uncertainty dependence is accurately predicted by standard Bayesian cue combination. Importantly, a Weber's law where visual uncertainty depends on stimulus amplitude is enough to explain the nonlinear behavior.
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Vection and postural sway may be linked.
“Although this theory of VIMS does not explicitly describe a role for vection, previous studies have shown that vection and postural sway may be linked (see Lestienne et al., 1977; Mergner et al., 2005; Wei et al., 2010).”
From Vection and visually induced motion sickness: how are they related? (2015) · cites this paper as Wei et al., 2010
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Cites
Robust estimation of a location parameter
Huber, P. J. (1964) · The Annals of Mathematical Statistics · doi:10.1214/aoms/1177703732 · Cited by 7,228 · see citing works
Humans integrate visual and haptic information in a statistically optimal fashion
Ernst, M. O., & Banks, M. S. (2002) · Nature · doi:10.1038/415429a · Cited by 4,844 · see citing works
The Bayesian brain: The role of uncertainty in neural coding and computation
Knill, D. C., & Pouget, A. (2004) · Trends in Neurosciences · doi:10.1016/j.tins.2004.10.007 · Cited by 2,588 · see citing works
Sensorimotor Integration in Human Postural Control
Peterka, R. J. (2002) · Journal of Neurophysiology · doi:10.1152/jn.2002.88.3.1097 · Cited by 2,425 · see citing works
Bayesian integration in sensorimotor learning
Körding, K. P., & Wolpert, D. M. (2004) · Nature · doi:10.1038/nature02169 · Cited by 2,004 · see citing works
Self-citationThe Ventriloquist Effect Results from Near-Optimal Bimodal Integration
Alais, D., & Burr, D. (2004) · Current Biology · doi:10.1016/j.cub.2004.01.029 · Cited by 1,936 · see citing works
Merging the senses into a robust percept
Ernst, M. O., & Bülthoff, H. H. (2004) · Trends in Cognitive Sciences · doi:10.1016/j.tics.2004.02.002 · Cited by 1,906 · see citing works
Adaptation to altered support and visual conditions during stance: patients with vestibular deficits
Nashner, L. M., Black, F. O., & Wall, C. (1982) · Journal of Neuroscience · doi:10.1523/jneurosci.02-05-00536.1982 · Cited by 834 · see citing works
Noise characteristics and prior expectations in human visual speed perception
Stocker, A. A., & Simoncelli, E. P. (2006) · Nature Neuroscience · doi:10.1038/nn1669 · Cited by 780 · see citing works
Temporal context calibrates interval timing
Jazayeri, M., & Shadlen, M. N. (2010) · Nature Neuroscience · doi:10.1038/nn.2590 · Cited by 773 · see citing works
Visual proprioceptive control of standing in human infants
Lee, D. N., & Aronson, E. R. (1974) · Perception & Psychophysics · doi:10.3758/bf03199297 · Cited by 767 · see citing works
Integration of Proprioceptive and Visual Position-Information: An Experimentally Supported Model
van Beers, R. J., Sittig, A. C., & Gon, J. J. D. V. D. (1999) · Journal of Neurophysiology · doi:10.1152/jn.1999.81.3.1355 · Cited by 742 · see citing works
A New Interpretation of Spontaneous Sway Measures Based on a Simple Model of Human Postural Control
Maurer, C., & Peterka, R. J. (2004) · Journal of Neurophysiology · doi:10.1152/jn.00221.2004 · Cited by 484 · see citing works
Multisensory fusion: simultaneous re-weighting of vision and touch for the control of human posture
Oie, K. S., Kiemel, T., & Jeka, J. J. (2002) · Cognitive Brain Research · doi:10.1016/s0926-6410(02)00071-x · Cited by 424 · see citing works
Relevance of Error: What Drives Motor Adaptation?
Wei, K., & Körding, K. (2009) · Journal of Neurophysiology · doi:10.1152/jn.90545.2008 · Cited by 422 · see citing works
Self-citationRole of somatosensory and vestibular cues in attenuating visually induced human postural sway
Peterka, R. J., & Benolken, M. S. (1995) · Experimental Brain Research · doi:10.1007/bf00242186 · Cited by 289 · see citing works
An optimal state estimation model of sensory integration in human postural balance
Kuo, A. D. (2005) · Journal of Neural Engineering · doi:10.1088/1741-2560/2/3/s07 · Cited by 258 · see citing works
Motor Learning Is Optimally Tuned to the Properties of Motor Noise
van Beers, R. J. (2009) · Neuron · doi:10.1016/j.neuron.2009.06.025 · Cited by 253 · see citing works
An adaptive model of sensory integration in a dynamic environment applied to human stance control
van der Kooij, H., Jacobs, R., Koopman, H. F. J. M., & van der Helm, F. C. T. (2001) · Biological Cybernetics · doi:10.1007/s004220000196 · Cited by 248 · see citing works
Zacharias, G. L., & Young, L. R. (1981) · Experimental Brain Research · doi:10.1007/bf00236605 · Cited by 231 · see citing works
Dijkstra, T. M. H., Schöner, G., & Gielen, C. C. A. M. (1994) · Experimental Brain Research · doi:10.1007/bf00241542 · Cited by 214 · see citing works
Internal models in the control of posture
Morasso, P., Baratto, L., Capra, R., & Spada, G. (1999) · Neural Networks · doi:10.1016/s0893-6080(99)00058-1 · Cited by 171 · see citing works
Postural adjustments induced by simulated motion of differently structured environments
van Asten, W. N. J. C., Gielen, C. C. A. M., & van der Gon, J. J. D. (1988) · Experimental Brain Research · doi:10.1007/bf00248230 · Cited by 167 · see citing works
Temporal integration of optic flow, measured by contrast and coherence thresholds
Burr, D. C., & Santoro, L. (2001) · Vision Research · doi:10.1016/s0042-6989(01)00072-4 · Cited by 167 · see citing works
Mergner, T., Schweigart, G., Maurer, C., & Blümle, A. (2005) · Experimental Brain Research · doi:10.1007/s00221-005-0065-3 · Cited by 144 · see citing works
Implicit knowledge of visual uncertainty guides decisions with asymmetric outcomes
Whiteley, L., & Sahani, M. (2008) · Journal of Vision · doi:10.1167/8.3.2 · Cited by 114 · see citing works
Asymptotic Theory of Information-Theoretic Experimental Design
Paninski, L. (2005) · Neural Computation · doi:10.1162/0899766053723032 · Cited by 108 · see citing works
Optimal Compensation for Temporal Uncertainty in Movement Planning
Hudson, T. E., Maloney, L. T., & Landy, M. S. (2008) · PLoS Computational Biology · doi:10.1371/journal.pcbi.1000130 · Cited by 91 · see citing works
Dynamic role of vision in the control of posture in man
Soechting, J. F., & Berthoz, A. (1979) · Experimental Brain Research · doi:10.1007/bf00238522 · Cited by 83 · see citing works
Egocentric perception through interaction among many sensory systems
Ohmi, M. (1996) · Cognitive Brain Research · doi:10.1016/s0926-6410(96)00044-4 · Cited by 81 · see citing works
Keshner, E. A., Kenyon, R. V., & Langston, J. (2004) · Journal of Vestibular Research · doi:10.3233/ves-2004-14401 · Cited by 77 · see citing works
Cortical Representation of Inward and Outward Radial Motion in Man
Ptito, M., Kupers, R. C., Faubert, J., & GJEDDE, A. H. (2001) · NeuroImage · doi:10.1006/nimg.2001.0947 · Cited by 74 · see citing works
Jeka, J. J., Allison, L. K., Saffer, M., Zhang, Y., Carver, S., & Kiemel, T. (2006) · Experimental Brain Research · doi:10.1007/s00221-006-0502-y · Cited by 74 · see citing works
Development of cortical responses to optic flow
Gilmore, R. O., Hou, C., Pettet, M. W., & Norcia, A. M. (2007) · Visual Neuroscience · doi:10.1017/s0952523807070769 · Cited by 64 · see citing works
Self versus Environment Motion in Postural Control
Dokka, K., Kenyon, R. V., Keshner, E. A., & Kording, K. P. (2010) · PLoS Computational Biology · doi:10.1371/journal.pcbi.1000680 · Cited by 59 · see citing works
Self-citationNonlinear postural control in response to visual translation
Ravaioli, E., Oie, K. S., Kiemel, T., Chiari, L., & Jeka, J. J. (2004) · Experimental Brain Research · doi:10.1007/s00221-004-2030-y · Cited by 59 · see citing works
Bayesian Integration and Non-Linear Feedback Control in a Full-Body Motor Task
Stevenson, I. H., Fernandes, H. L., Vilares, I., Wei, K., & Kording, K. P. (2009) · PLoS Computational Biology · doi:10.1371/journal.pcbi.1000629 · Cited by 53 · see citing works
Self-citationA bayesian view of motor adaptation
Korenberg, A., & Ghahramani, Z. (2002) · Cited by 50 · see citing works
Influence of visual scene velocity on segmental kinematics during stance
Dokka, K., Kenyon, R. V., & Keshner, E. A. (2009) · Gait & Posture · doi:10.1016/j.gaitpost.2009.05.001 · Cited by 46 · see citing works
The role of cortical area V5/MT+ in speed-tuned directional anisotropies in global motion perception
Giaschi, D. E., Zwicker, A., Young, S. A., & Björnson, B. (2007) · Vision Research · doi:10.1016/j.visres.2006.12.017 · Cited by 41 · see citing works
Neuromagnetic evoked responses to complex motions are greatest for expansion
Holliday, I. E., & Meese, T. S. (2004) · International Journal of Psychophysiology · doi:10.1016/j.ijpsycho.2004.07.009 · Cited by 26 · see citing works
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Vection and visually induced motion sickness: how are they related?
Keshavarz, B., Riecke, B. E., Hettinger, L. J., & Campos, J. L. (2015) · Frontiers in Psychology · doi:10.3389/fpsyg.2015.00472 · Cited by 325 · see citing works
“Decreasing the velocity of a rotating drum, for example, does not only reduce OKN, but also tends to decrease the level of vection (e.g., Bubka et al., 2006).”
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Noel, J.-P., Grivaz, P., Marmaroli, P., Lissek, H., Blanke, O., & Serino, A. (2015) · Neuropsychologia · doi:10.1016/j.neuropsychologia.2014.08.030 · Cited by 130 · see citing works
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Lewis, M. M., Galley, S., Johnson, S., Stevenson, J. K. R., Huang, X., & McKeown, M. J. (2013) · Canadian Journal of Neurological Sciences / Journal Canadien des Sciences Neurologiques · doi:10.1017/s0317167100014232 · Cited by 84 · see citing works
Apthorp, D., Nagle, F., & Palmisano, S. A. (2014) · PLoS ONE · doi:10.1371/journal.pone.0113897 · Cited by 70 · see citing works
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Peacock, C. E., Cronin, D. A., Hayes, T. R., & Henderson, J. M. (2021) · Journal of Vision · doi:10.1167/jov.21.11.1 · Cited by 53 · see citing works
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Seno, T., Sawai, K.-I., Kanaya, H., Wakebe, T., Ogawa, M., Fujii, Y., & Palmisano, S. A. (2017) · i-Perception · doi:10.1177/2041669517742176 · Cited by 36 · see citing works
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Wu, T. L. Y., Gomes, A. D., Fernandes, K., & Wang, D. M. (2018) · International Journal of Human-Computer Interaction · doi:10.1080/10447318.2018.1555736 · Cited by 30 · see citing works
Chen, L., Feng, Y., Chen, B., Wang, Q., & Wei, K. (2021) · Journal of NeuroEngineering and Rehabilitation · doi:10.1186/s12984-021-00952-x · Cited by 30 · see citing works
Self-citationPekkanen, J., Lappi, O., Rinkkala, P., Tuhkanen, S., Frantsi, R., & Summala, H. (2018) · Royal Society Open Science · doi:10.1098/rsos.180194 · Cited by 29 · see citing works
Jazi, S. D., & Heath, M. D. (2014) · Brain and Cognition · doi:10.1016/j.bandc.2014.01.014 · Cited by 24 · see citing works
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Lim, Y. H., Lee, H., Falkmer, T., Allison, G. T., Tan, T., Lee, W. L., & Morris, S. L. (2018) · Neuroscience · doi:10.1016/j.neuroscience.2018.09.047 · Cited by 23 · see citing works
Static and dynamic visual cues in feed-forward postural control
Mohapatra, S., & Aruin, A. S. (2012) · Experimental Brain Research · doi:10.1007/s00221-012-3286-2 · Cited by 22 · see citing works
Decreasing perceived optic flow rigidity increases postural sway
Holten, V., Donker, S. F., Verstraten, F. A. J., & van der Smagt, M. J. (2013) · Experimental Brain Research · doi:10.1007/s00221-013-3543-z · Cited by 19 · see citing works
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Mani, H., Kato, N., Hasegawa, N., Urano, Y., Aiko, T., Kurogi, T., & Asaka, T. (2022) · Gait & Posture · doi:10.1016/j.gaitpost.2022.07.004 · Cited by 13 · see citing works
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Agathos, C. P., Bernardin, D., Baranton, K., Assaiante, C., & Isableu, B. (2017) · Neuroscience · doi:10.1016/j.neuroscience.2017.01.044 · Cited by 9 · see citing works
Li, R., Wang, N., Xiang, Y., & Wei, K. (2014) · Chinese Medical Journal · doi:10.3760/cma.j.issn.0366-6999.20121430 · Cited by 8 · see citing works
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Ihaya, K., Seno, T., & Yamada, Y. (2014) · Revista Latinoamericana de Psicología · doi:10.1016/s0120-0534(14)70006-8 · Cited by 6 · see citing works
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Holten, V., Donker, S. F., Stuit, S., Verstraten, F. A. J., & van der Smagt, M. J. (2015) · Perception · doi:10.1068/p7925 · Cited by 5 · see citing works
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Holten, V., van der Smagt, M. J., Verstraten, F. A. J., & Donker, S. F. (2015) · Experimental Brain Research · doi:10.1007/s00221-015-4438-y · Cited by 5 · see citing works
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Takamuku, S., Struckova, B., Bancroft, M. J., Gomi, H., Haggard, P., & Kaski, D. N. (2024) · Communications Biology · doi:10.1038/s42003-024-07093-6 · Cited by 2 · see citing works
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- Authors
- Wei, K., Stevenson, I. H., & Kording, K. P.
- Affiliations
- Northwestern University (US)
- Corresponding author
- Wei, K.
- Stevenson, I. H.
- Kording, K. P.
- ORCID
- Kording, K. P.
- Venue
- Journal of Vision
- Published
- 2010-12-03
- Volume
- 10
- Issue
- 14
- Pages
- 4-4
- ISSN
- 1534-7362 (ISSN-L)
- PMC
- PMC3415039
- OpenAlex
- W2139270899
- Cited by
- 36
- References
- 41
- Citations by year
- 2026: 1 · 2025: 1 · 2024: 2 · 2022: 4 · 2021: 4 · 2019: 1 · 2018: 4 · 2017: 3 · 2015: 4 · 2014: 6 · 2013: 3 · 2012: 3
- FWCI
- 1.16
- Type
- journal article
- Language
- en
- Open access
- gold
- doi.org
- Locations
- Journal of Vision (publishedVersion)
- PubMed (publishedVersion)
- PubMed Central (acceptedVersion)
- Funders
- National Natural Science Foundation of China
- National Institutes of Health
- Fundamental Research Funds for the Central Universities
- National Institute of Neurological Disorders and Stroke (R01NS063399, R01NS057814)
- National Center for Research Resources (UL1RR025741)
- Topics
- Life Sciences › Neuroscience › Cognitive Neuroscience › Visual perception and processing mechanisms
- Life Sciences › Neuroscience › Cognitive Neuroscience › Motor Control and Adaptation
- Social Sciences › Psychology › Experimental and Cognitive Psychology › Multisensory perception and integration
- Keywords
- postural sway, vection, uncertainty, Weber's law, random dot motion, vertical posture, sensorimotor integration, nonlinearity, movement amplitude
- MeSH terms
- Adult, Bayes Theorem, Cues, Female, Form Perception, Humans, Male, Models, Neurological, Motion Perception, Orientation, Photic Stimulation, Posture, Proprioception, Psychomotor Performance, Nonlinear Dynamics
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