On vision in birds: coordination of head-bobbing and gait stabilises vertical head position in quail
© Nyakatura and Andrada; licensee BioMed Central Ltd. 2014
Received: 19 November 2013
Accepted: 19 March 2014
Published: 25 March 2014
Head-bobbing in birds is a conspicuous behaviour related to vision comprising a hold phase and a thrust phase. The timing of these phases has been shown in many birds, including quail, to be coordinated with footfall during locomotion. We were interested in the biomechanics behind this phenomenon. During terrestrial locomotion in birds, the trunk is subjected to gait-specific vertical oscillations. Without compensation, these vertical oscillations conflict with the demands of vision (i.e., a vertically stable head position). We tested the hypothesis that the coordination between head-bobbing and trunk movement is a means of reconciling the conflicting demands of vision and locomotion which should thus vary according to gait.
Significant differences in the timing of head-bobbing were found between gaits. The thrust phase was initiated just prior to the double support phase in walking (vaulting) trials, whereas in running (bouncing) trials, thrust started around midstance. Altering the timing of head-trunk-coordination in simulations showed that the timing naturally favoured by birds minimizes the vertical displacement of the head. When using a bouncing gait the timing of head bobbing had a compensatory effect on the fluctuation of the potential energy of the bird’s centre of mass.
The results are consistent with expectations based on the vertical trunk fluctuations observed in biomechanical models of vaulting and bouncing locomotion. The timing of the head-bobbing behaviour naturally favoured by quail benefits vision during vaulting and bouncing gaits and potentially helps reducing the mechanical cost associated with head bobbing when using a bouncing gait.
KeywordsCoturnix X-ray motion analysis Center of mass mechanics Head-bobbing Vision Locomotion
The vertical displacements to which the body is subjected during locomotion are usually reflected by energy fluctuations in the body’s centre of mass (CoM), which themselves vary significantly between gaits [21–23]. In a vaulting gait, the body’s potential energy (E p ) is at a minimum around double support. In bouncing gaits, E p is at a minimum around midstance. Therefore, a vertically stable head position needed for vision during head-bobbing potentially conflicts with the vertical oscillations of the body’s CoM during terrestrial locomotion.
We hypothesised the timed coordination between head-bobbing and gait to be a means of mitigating disadvantageous effects both behaviours exert on each other. Specifically, we hypothesised the timing of head-bobbing to limit the vertical oscillation of the head and expected the timing to reflect the type of gait used (Figure 1B, C). Theoretically, the thrust phase should start when the trunk is about to move up (i.e., when E p is at a local minimum). In a bouncing gait, then, the onset of thrust was expected around midstance, while in a vaulting gait it was expected at the beginning of the double support phase. We analysed head-bobbing in unrestrained vaulting and bouncing gaits in the common quail, conducting x-ray motion analyses to study body segment kinematics. Additionally, we simulated trials in which head-bobbing did not occur and trials in which the timing of head-bobbing was inversed in order to study the effects of modified head-bobbing behaviour. In representative vaulting and bouncing trials, we simulated trials in which we stepwise shifted the onset of thrust to test whether quail optimize the timing of head-bobbing in line with our hypothesis.
Materials and methods
Body mass and number of trials that met criteria for analysis of participating quail individuals
Determination of the CoM
X-ray motion analysis (XMA)
On recording days, 4 individuals were taken to the x-ray motion analysis lab for experiments. At least one day of rest was given to each bird between recording days. All animals were allowed to rest in transport boxes for at least an hour prior to experiments and between sets of trials to limit stress. No more than 10 consecutive trials were conducted with each individual regardless of whether the trials could be used for further analyses. Each trial involved a subject walking or running (in most cases spontaneously) along a 3 m track that passed two orthogonal x-ray beams at its own preferred speed. Synchronous x-ray videos were recorded from the ventral projection and the lateral projection using a fully digital biplane high-speed x-ray video unit (specifics of the unit are detailed in ) that captured about 30 cm of the track. The x-ray system operated at 40 kV and 53 mA and recorded images of 1.536×1.024 pixels at 1 kHz. No additional shutter was necessary to further reduce motion blur. The inherent distortion in the x-ray image was corrected using a recorded image of a metal grid with known geometry and comparing the spatial geometry of the image and the grid to define a projection rule . All images from the analysed trials were subsequently corrected using this rule (MATLAB scripts available free of charge from http://www.xromm.org).
Additional file 1:A short movie of a head-bobbing quail during unrestrained grounded running (lateral and ventral projections) and of our kinematic model with original and modified head-bobbing behaviour.(AVI 9 MB)
To address the specific question of this study, namely the coordination between fore-aft head movements relative to the vertical movements of the body’s CoM, we restricted our analysis to the sagittal plane kinematics and CoM energy patterns. Medio-lateral amplitudes of the movements of the head’s and the body’s CoM were found to be small during vaulting trials (0.23 ± 0.1 cm and 0.22 ± 0.12 cm, respectively) and bouncing trials (0.21 ± 0.12 cm and 0.22 ± 0.11 cm, respectively) in the experimental data. Thus, the 3D data was projected to the sagittal plane (only x and y coordinates were used). A step was defined as lasting from midstance of one limb to midstance of the other limb. Subsequent stance phases needed to be completely within the field of view of the x-ray system. This approximately applied to just 10% of all trials. In addition, non-steady state trials with a horizontal speed deviation of more than 10% between two midstance events were discarded during later analysis. No runs with an aerial phase occurred that met our criteria. Altogether we analysed 49 trials (16 vaulting, 33 bouncing) with 98 strides (Table 1).
To differentiate vaulting from bouncing gaits we used % Congruity . % Congruity is the percentage of overall frames making up a step which feature frame-to-frame changes in E p and E k of equal sign. Ideally, % Congruity would be 100% in a perfect bouncing (running) trial and 0% in a perfect vaulting (walking) trial. E p was calculated as E p = mgy, where m is mass, g is gravitational acceleration and y is the vertical oscillation of the CoM. E k was calculated as , where and are the horizontal and vertical speed, respectively. However, gait transitions in birds have been demonstrated to be smooth [7, 23, 30, 31]. We defined values of % Congruity <50% as vaulting-like and >50% as bouncing-like (Figure 1B). The birds bobbed their heads in all trials. The timing of the onset of thrust and hold phases and the timing of footfalls was determined from x-ray videos. The onset of the thrust phase was defined as the frame in which the relative horizontal distance between the tip of the beak and the caudal-most cervical vertebra exceeded by 2 mm its minimum value relative to the duration of the entire step.
All head bobbing data reported in this study stem from original experimental data and reflect the natural behaviour of the birds (all data from experimental data marked red in graphs). However, by manipulating the time functions of the coordinates of the head and neck in the experimental data of the original head bobbing trials, we also simulated trials without head-bobbing and those featuring inverse head-bobbing (all data from simulations marked grey in graphs). This was achieved using custom MATLAB scripts. In addition, we also manipulated the original onset of head-bobbing in our experimental data in some representative vaulting and bouncing trials to explore whether or not quail optimize the onset of thrust to minimize vertical head displacement. To this end, the phase shift between the time functions of the motion of the neck and the head relative to the trunk was varied stepwise (increments of 10% of stance duration). In simulated trials without head-bobbing, the positions of the neck and head were fixed in the kinematic model at the minimum value of the distance between the CoM of the head and the cranial pelvis landmark. To simulate inverse head-bobbing behaviour, the time functions of the motion of the neck and head segments relative to the trunk were inverted, resulting in a 180° phase shift compared to normal head-bobbing behaviour of the experimental data. The kinematic model used for these simulations is that from the XMA (experimental data) of each trial. Note that during simulations without head-bobbing, with inversed head-bobbing, or with shifted head-bobbing onset, the kinematics of the trunk and the extremities were never altered and are thus identical to the experimental data. In simulations just the motion of the head and neck relative to the trunk were manipulated. An animation of a grounded running gait featuring natural head-bobbing, no head-bobbing and inverse head bobbing can be found in the Additional file 1.
Experimental data of the same gait from different subjects were pooled. All statistical analyses were performed in IBM SPSS Statistics 21 (IBM Corporation, Armonk, NY, USA). We used the Student’s t-test to compare the means of the onset of thrust and double support phase between the two gaits. We used a one-way ANOVA to compare the means of the various simulated trials, with post hoc pairwise Dunnett’s t tests to test for significant differences between the experimentally derived head-bobbing trial (experimental data) and the modified trials from the simulations. We also tested for differences between head displacement and the displacement of the CoM of the trunk in both experimentally derived and simulated trials. The significance level was set at p = 0.05 (marked by an asterisk in graphs), with higher significance marked by two asterisks (p < 0.01) and highest significance (p < 0.001) marked by three asterisks. Data is reported as mean ± standard deviation. To complement null hypothesis significance testing and to further differentiate the biological significance of the data, we also calculated effect size statistics (discussed in Nakagawa and Cuthill ). 95% confidence intervals (CI) are presented and a measure of standardized effect size (Cohen’s d) based on the difference between corresponding trials is provided. We use Cohen’s ‘conventional’ values as measures of a small, medium, and large effect (d = 0.2, 0.5, 0.8, respectively; ).
Vertical head displacement
Post hoc comparison and effect size statistics of original trials (head-bobbing; HB), simulated trials without head-bobbing (no HB), and simulated trials in which the timing of head-bobbing was inversed (inv. HB)
95% CI of mean difference
Significance (Dunnett’s t)
Effect size (Cohen’s d)
Vertical displacement of the head
No HB vs. HB
Inv. HB vs. HB
CoM vs. HB
No HB vs. HB
Inv. HB vs. HB
CoM vs. HB
Amplitude of E p fluctuation
No HB vs. HB
Inv. HB vs. HB
No HB vs. HB
Inv. HB vs. HB
Amplitude of E k fluctuation
No HB vs. HB
Inv. HB vs. HB
No HB vs. HB
Inv. HB vs. HB
In bouncing trials, we found highly significant differences between groups (p < 0.001; Figure 4B). Post hoc tests showed that the vertical displacement of the head was significantly smaller in experimental trials (0.65 ± 0.32 cm) than in simulated trials without head-bobbing (0.99 ± 0.42 cm; p = 0.021) and also smaller than in simulated trials featuring inverse head-bobbing (1.96 ± 0.9 cm; p < 0.001). In both cases, the effect size clearly exceeded the conventional value of a large effect (d = 0.91 and d = 1.95, respectively). Vertical displacement of the head in bouncing trials did not differ from the vertical displacement of the CoM of the trunk (0.59 ± 0.25 cm; p = 0.944) in experimental trials, though an effect was still found (albeit a marginal one: d = 0.2).
Energy fluctuations of the CoM
In contrast, and despite similar values overall, bouncing trials featuring normal (i.e., experimental) head-bobbing behaviour always yielded smaller E p fluctuation values (0.0093 ± 0.0037 J) than simulated trials without head-bobbing (0.0102 ± 0.0039 J) and simulated trials in which the timing of head-bobbing was inversed (0.0111 ± 0.0041 J; Figure 6B). Therefore, even though differences were not significant for either simulated head bobbing strategy in bouncing gaits (p = 0.53 and p = 0.096, respectively), small effects were found when experimental head-bobbing trials were compared with simulated trials without head-bobbing and simulated trials in which the timing of head-bobbing was inversed (Table 2).
In regard of E k fluctuations, ANOVAs for vaulting and bouncing trials were non-significant as well (p = 0.204 and p = 0.176, respectively). For vaulting trials post-hoc testing showed that neither simulated trials without head bobbing (0.011 ± 0.0051 J, p = 0.486) nor simulated trials with inversed timing of head bobbing (0.0096 ± 0.0042 J, p = 0.137) differed significantly from the experimental trials (0.0123 ± 0.006 J; Figure 6C). However, fluctuations of E k tended to be smaller in simulated trials reflected in small and medium effect sizes (Table 2).
E k fluctuations of bouncing trials again did not differ significantly from experimental data (0.0146 ± 0.0067 J) in simulated trials without head bobbing (0.0123 ± 0.005 J, p = 0.159) and simulated trials with inversed timing of head bobbing (0.0126 ± 0.0042 J, p = 0.223; Figure 6D). Nevertheless, effect size statistics revealed small effects (Table 2).
The coordination between head-bobbing and hindlimb movement has been documented for numerous species of bird [1, 5, 14–17]. Fujita  established that the timing and amplitude of head-bobbing is correlated to stride length and proposed that the behaviour has a displacing effect on the animal’s CoM which is advantageous to locomotor stability—an idea first put forward by Dagg . However, the displacing effect on the CoM was actually found to be very small [16, 35, 36]. Birds do not bob their heads when walking or running on a treadmill  or when blindfolded . The importance of head-bobbing for dynamic stability during terrestrial locomotion therefore seems to be negligible .
It is important to note that a recent study on tinamous questions a timed coordination of footfall and head bobbing behaviour . There certainly is variation of the timing of this coordination within data of the gaits in quail, too (Figure 3). However, we here demonstrate that the timing of head-bobbing is coordinated with fluctuations in the E p of the birds’ trunk which is fundamentally different in the two mechanically defined gaits. This specific hypothesis was not tested in the previous study on tinamous  and therefore results of this previous study are not mutually exclusive to the results presented here. As hypothesised (Figure 2), the timing of head-bobbing in quail differs significantly between vaulting and bouncing gaits, with thrusts occurring immediately prior to the double support phase in vaulting trials. This finding is consistent with the idea that the timing of head-bobbing – not the behaviour itself – as a subordinate phenomenon functions to mitigate the conflict between the need for vertically stable eye movement and the vertical fluctuation of the trunk. This result was clearest in trials with bouncing mechanics. However, an alternative benefit of the timing between head and trunk movements observed in this study could be an advantage for re-directing the CoM trajectory after it reaches the minimum in E p by providing acceleration of the CoM. This event occurs during the double contact phase in vaulting trials, whereas it occurs around midstance in bouncing trials (Figure 1B, C).
When compared to simulated trials in which the timing of head-bobbing was inversed, the timing naturally favoured by the birds had significantly smaller vertical excursions of the head. Jiménez Ortega and colleagues  demonstrated in pigeons that shape discrimination during the thrust phase is as good as during the hold phase and concluded that unlike previously supposed [8, 37], vision is not suppressed during the thrust phase . Optic flow is more pronounced in the lateral field of view than in the frontal field  and more prone to suffer from translational and rotational perturbations . The vertical stabilisation of the eye documented here, which is effected by gait-specific head-trunk coordination during terrestrial locomotion, is therefore advantageous to vision. Similar vertical stabilization of the eyes is also achieved in herons during perch perturbations .
The effects observed in our study were more marked in trials involving bouncing gaits. This can be attributed to the fact that in grounded running, the preferred gait of ground-dwelling birds (see [22, 24, 25, 39]), the vertical fluctuations of the trunk are large (e.g., [7, 22–24]), making the benefits of head stabilising mechanisms particularly visible. At the highest speeds many birds abandon head-bobbing behaviour altogether [17, 19].
In addition to the smaller vertical excursions of the head, it was observed that the natural timing of head-bobbing has a compensatory effect on the E p fluctuations in the birds’ CoM during bouncing gaits. When comparing experimental bouncing trials with trials that simulated inversed head-bobbing we found nearly a medium-sized effect. Thus, this limitation of E p fluctuation potentially constitutes an energy-saving mechanism since all positive increments in E p are costly in terms of metabolic energy (see, for example ). That is, because head bobbing is primarily necessary for vision and this behaviour is associated with mechanical costs. These costs arise from the additional fore-aft accelerations of the CoM that increase positive increments of E k (see higher E k fluctuations in the experimental data than in simulated data with modified timing of head bobbing in Figure 6C, D). The here documented timing of head bobbing during bouncing trials has the effect of limiting the positive increments of E p and is thus potentially decreasing, albeit to a rather small extent, the additional cost connected to head-bobbing. Here too, it is the timing and coordination of head-bobbing with gait specific trunk vertical motion which provides the benefit, not the behaviour per se.
The data of this study supports the notion that head-bobbing is coordinated with gait in quail to mitigate the adverse effects of locomotion on vision. Given the overall similarity between head-bobbing in quail and the same behaviour in other birds, these results might apply to many taxa of head-bobbing bird.
We are indebted to Rommy Petersohn, Ingrid Weiß, Katharina Müller-Langer and Sandra Clemens for assistance with the experiments, data analysis and animal keeping. We thank Christian Rode, Alexander Stößel and Brandon Kilbourne for helpful input on earlier versions of the manuscript. The reviewers’ comments additionally helped to improve the manuscript. Thanks too to Lucy Cathrow for improving the English. This research was funded by the DFG (BL 236/22-1; FI 410/15-1).
- Dunlap KNIGHT, Mowrer OH: Head movements and eye functions of birds. J Comp Psychol. 1930, 11 (1): 99-View ArticleGoogle Scholar
- Friedman MB: Visual control of head movements during avian locomotion. Nature. 1975, 255: 67-69. 10.1038/255067a0.PubMedView ArticleGoogle Scholar
- Frost BJ: The optokinetic basis of head-bobbing in the pigeon. J Exp Biol. 1978, 74: 187-195.Google Scholar
- Kral K: Behavioural–analytical studies of the role of head movements in depth perception in insects, birds and mammals. Behav Process. 2003, 64 (1): 1-12. 10.1016/S0376-6357(03)00054-8.View ArticleGoogle Scholar
- Cronin TW, Kinloch MR, Olsen GH: Head-bobbing behavior in foraging whooping cranes favors visual fixation. Curr Biol. 2005, 15 (7): R243-R244. 10.1016/j.cub.2005.03.036.PubMedView ArticleGoogle Scholar
- Necker R: Head-bobbing of walking birds. J Comp Physiol. 2007, 193 (12): 1177-1183. 10.1007/s00359-007-0281-3.View ArticleGoogle Scholar
- Hancock JA, Stevens NJ, Biknevicius AR: Whole–body mechanics and kinematics of terrestrial locomotion in the elegant–crested Tinamou. Eudromia Elegans Ibis. 2007, 149 (3): 605-614.View ArticleGoogle Scholar
- Pratt DW: Saccadic eye movements are coordinated with head movements in walking chickens. J Exp Biol. 1982, 97 (1): 217-223.PubMedGoogle Scholar
- Jiménez Ortega L, Stoppa K, Güntürkün O, Troje NF: Vision during head bobbing: are pigeons capable of shape discrimination during the thrust phase?. Exp Brain Res. 2009, 199 (3–4): 313-321.View ArticleGoogle Scholar
- Ono ME, Rivest J, Ono H: Depth perception as a function of motion parallax and absolute-distance information. J Exp Psychol Hum Percept Perform. 1986, 12 (3): 331-PubMedView ArticleGoogle Scholar
- Nawrot M: Eye movements provide the extra-retinal signal required for the perception of depth from motion parallax. Vis Res. 2003, 43 (14): 1553-1562. 10.1016/S0042-6989(03)00144-5.PubMedView ArticleGoogle Scholar
- Wallman J, Letelier JC: Vision, brain, and behavior in birds. Eye movements, head movements, and gaze stabilization in birds. 1993, Cambridge: MIT Press, 245-263.Google Scholar
- Troje NF, Frost BJ: Head-bobbing in pigeons: how stable is the hold phase?. J Exp Biol. 2000, 203 (5): 935-940.PubMedGoogle Scholar
- Daanje A: On locomotory movements in birds and the intention movements derived from them. Behav. 1951, 3: 48-98. 10.1163/156853951X00214.View ArticleGoogle Scholar
- Bangert H: Untersuchungen zur Koordination der Kopf- und Beinbewegungen beim Haushuhn. Z Tierpsychol. 1960, 17: 143-164.View ArticleGoogle Scholar
- Fujita M: Head bobbing and the movement of the centre of gravity in walking pigeons (Columba livia). J Zool. 2002, 257 (03): 373-379. 10.1017/S0952836902000973.View ArticleGoogle Scholar
- Cronin TW, Kinloch MR, Olsen GH: Head-bobbing behavior in walking whooping cranes (Grus americana) and sandhill cranes (Grus canadensis). J Ornithol. 2007, 148 (2): 563-569.View ArticleGoogle Scholar
- Abourachid A, Hackert R, Herbin M, Libourel PA, Lambert F, Gioanni H, Provini P, Blazevic P, Hugel V: Bird terrestrial locomotion as revealed by 3D kinematics. Zool. 2011, 114 (6): 360-368. 10.1016/j.zool.2011.07.002.View ArticleGoogle Scholar
- Hancock JA, Stevens NJ, Biknevicius AR: Elegant–crested Tinamous Eudromia elegans do not synchronize head and leg movements during head–bobbing. Ibis. 2014, 156 (1): 198-208. 10.1111/ibi.12115.View ArticleGoogle Scholar
- Provini P, Goupil P, Hugel V, Abourachid A: Walking, paddling, waddling: 3D kinematics of Anatidae locomotion (Callonetta leucophrys). J Exp Zool Part A Ecol Genet Physiol. 2012, 317 (5): 275-282. 10.1002/jez.1721.View ArticleGoogle Scholar
- Cavagna GA, Heglund NC, Taylor CR: Mechanical work in terrestrial locomotion: two basic mechanisms for minimizing energy expenditure. Am J Physiol Regul Integr Comp Physiol. 1977, 233 (5): R243-R261.Google Scholar
- Rubenson J, Heliams DB, Lloyd DG, Fournier PA: Gait selection in the ostrich: mechanical and metabolic characteristics of walking and running with and without an aerial phase. Proc Roy Soc Lond B. 2004, 271 (1543): 1091-10.1098/rspb.2004.2702.View ArticleGoogle Scholar
- Nyakatura JA, Andrada E, Grimm N, Weise H, Fischer MS: Kinematics and center of mass mechanics during terrestrial locomotion in northern lapwings (Vanellus vanellus, Charadriiformes). J Exp Zool Part A Ecol Genet Physiol. 2012, 317 (9): 580-594. 10.1002/jez.1750.View ArticleGoogle Scholar
- Andrada E, Nyakatura JA, Bergmann F, Blickhan R: Adjustments of global and hindlimb local properties during the terrestrial locomotion of the common quail (Coturnix coturnix). J Exp Biol. 2013, 216: 3906-3916. 10.1242/jeb.085399.PubMedView ArticleGoogle Scholar
- Andrada E, Rode C, Blickhan R: Grounded running in quails: simulations indicate benefits of observed fixed aperture angle between legs before touch-down. J Theor Biol. 2013, 335: 97-107.PubMedView ArticleGoogle Scholar
- Haase D, Andrada E, Nyakatura JA, Kilbourne BM, Denzler J: Automated approximation of center of mass position in X-ray sequences of animal locomotion. J Biomech. 2013, 46 (12): 2082-2086. 10.1016/j.jbiomech.2013.06.009.PubMedView ArticleGoogle Scholar
- Nyakatura JA, Petrovitch A, Fischer MS: Limb kinematics during locomotion in the two-toed sloth Choloepus didactylus, Xenarthra) and its implications for the evolution of the sloth locomotor apparatus. Zool. 2010, 113 (4): 221-234. 10.1016/j.zool.2009.11.003.View ArticleGoogle Scholar
- Brainerd EL, Baier DB, Gatesy SM, Hedrick TL, Metzger KA, Gilbert SL, Crisco JJ: X–ray reconstruction of moving morphology (XROMM): precision, accuracy and applications in comparative biomechanics research. J Exp Zool Part A Ecol Genet Physiol. 2010, 313 (5): 262-279.Google Scholar
- Ahn AN, Furrow E, Biewener AA: Walking and running in the red-legged running frog, Kassina maculata. J Exp Biol. 2004, 207 (3): 399-410. 10.1242/jeb.00761.PubMedView ArticleGoogle Scholar
- Gatesy SM, Biewener AA: Bipedal locomotion: effects of speed, size and limb posture in birds and humans. J Zool. 1991, 224 (1): 127-147. 10.1111/j.1469-7998.1991.tb04794.x.View ArticleGoogle Scholar
- Stoessel A, Fischer MS: Comparative intralimb coordination in avian bipedal locomotion. J Exp Biol. 2012, 215 (23): 4055-4069. 10.1242/jeb.070458.PubMedView ArticleGoogle Scholar
- Nakagawa S, Cuthill CI: Effect size, confidence interval and statistical significance: a practical guide for biologists. Biol Rev. 2007, 82: 591-605. 10.1111/j.1469-185X.2007.00027.x.PubMedView ArticleGoogle Scholar
- Cohen J: Statistical power analysis for the behavioral sciences. 1988, Hillsdale, NJ: Erlbaum, 2Google Scholar
- Dagg AI: The walk of the silver gull (Larus novaehollandiae) and of other birds. J Zool. 1977, 182 (4): 529-540.Google Scholar
- Fujita M: Head bobbing and the body movement of little egrets (Egretta garzetta) during walking. J Comp Physiol A. 2003, 189 (1): 53-58.Google Scholar
- Hancock JA: Doctoral dissertation. The mechanics of terrestrial locomotion and the function and evolutionary history of head-bobbing in birds. 2010, Athens, Ohio, USA: Ohio UniversityGoogle Scholar
- Brooks B, Holden AL: Suppression of visual signals by rapid image displacement in the pigeon retina: a possible mechanism for “saccadic” suppression. Vis Res. 1973, 13 (7): 1387-1390. 10.1016/0042-6989(73)90216-2.PubMedView ArticleGoogle Scholar
- Katzir G, Schechtman E, Carmi N, Weihs D: Head stabilization in herons. J Comp Physiol A. 2001, 187 (6): 423-432. 10.1007/s003590100210.PubMedView ArticleGoogle Scholar
- Daley MA, Usherwood JR: Two explanations for the compliant running paradox: reduced work of bouncing viscera and increased stability in uneven terrain. Biol Lett. 2010, 6 (3): 418-421. 10.1098/rsbl.2010.0175.PubMedPubMed CentralView ArticleGoogle Scholar
- Blickhan R, Full RJ: Mechanical work in terrestrial locomotion. Biomechanics, Structures and Systems - A Practical Approach. Edited by: Biewener AA. 1992, New York, New York, USA: Oxford University PressGoogle Scholar
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