Skip to main content
PLOS One logoLink to PLOS One
. 2020 Feb 25;15(2):e0222822. doi: 10.1371/journal.pone.0222822

Range of motion and between-measurement variation of spinal kinematics in sound horses at trot on the straight line and on the lunge

A M Hardeman 1,2,3,*, A Byström 3, L Roepstorff 3, J H Swagemakers 1, P R van Weeren 2, F M Serra Bragança 2
Editor: Chris Rogers4
PMCID: PMC7041811  PMID: 32097432

Abstract

Clinical assessment of spinal motion in horses is part of many routine clinical exams but remains highly subjective. A prerequisite for the quantification of spinal motion is the assessment of the expected normal range of motion and variability of back kinematics. The aim of this study was to objectively quantify spinal kinematics and between -measurement, -surface and -day variation in owner-sound horses. In an observational study, twelve owner-sound horses were trotted 12 times on four different paths (hard/soft straight line, soft lunge left and right). Measurements were divided over three days, with five repetitions on day one and two, and two repetitions on day three (recheck) which occurred 28–55 days later. Optical motion capture was used to collect kinematic data. Elements of the outcome were: 1) Ranges of Motion (ROM) with confidence intervals per path and surface, 2) a variability model to calculate between-measurement variation and test the effect of time, surface and path, 3) intraclass correlation coefficients (ICC) to determine repeatability. ROM was lowest on the hard straight line. Cervical lateral bending was doubled on the left compared to the right lunge. Mean variation for the flexion-extension and lateral bending of the whole back were 0.8 and 1 degrees. Pelvic motion showed a variation of 1.0 (pitch), 0.7 (yaw) and 1.3 (roll) degrees. For these five parameters, a tendency for more variation on the hard surface and reduced variation with increased repetitions was observed. More variation was seen on the recheck (p<0.001). ICC values for pelvic rotations were between 0.76 and 0.93, for the whole back flexion-extension and lateral bending between 0.51 and 0.91. Between-horse variation was substantially higher than within-horse variation. In conclusion, ROM and variation in spinal biomechanics are horse-specific and small, necessitating individual analysis and making subjective and objective clinical assessment of spinal kinematics challenging.

Introduction

Back pain/dysfunction is a common cause of poor performance in horses [1,2] which can cause alterations in spinal kinematics [3,4]. However, apart from a primary back problem, lameness may also affect spinal biomechanics, as was shown in studies on the effects of induced lameness[5,6]. The rider may experience consequences of back dysfunction of the horse, either by the reluctance of the horse to bend, sidedness or abnormal saddle movement. These associations are complex [79].

At trot, the locomotion pattern can be described as a two-beat, symmetric, diagonal gait with a suspension phase. This creates a bouncing movement, resulting in a sinusoidal pattern for head, withers and tuber sacrale[10]. A similar sinusoidal pattern is observed for the flexion-extension of the back, with one cycle per diagonal. At the trot, movements of the back are mainly a result of forces applied to the spine by the fore- and hindlimbs and the weight of the abdominal viscera. Both the epaxial and hypaxial muscles play an important role in controlling the flexion-extension and thereby stabilizing the spine. The abdominal muscles, which act to flex the back, are mainly active during the impact phase of the stride, when the back is going to extension. Correspondingly, the back extensors, the epaxial muscles, are active during the push off half of the stride when the back is going to flexion[11]. Whereas the spine undergoes two cycles of flexion-extension per stride, there is only a single cycle of lateral bending and axial rotation during one stride at the trot. Lateral bending, in the horizontal plane, is seen ones to the left and ones to the right side during one stride-cycle. The same is true for axial rotation (around the longitudinal axis). Not much is known until now about the changes in back motion on the lunge, other than a higher ROM compared to the straight line[12]. The clinical diagnosis of back pain/dysfunction in horses is quite challenging. Additional diagnostic tools, besides a proper anamnesis and a complete clinical examination, such as scintigraphy, radiology and ultrasonography are therefore frequently employed to maximize evidence, but oftentimes the outcome is still far from conclusive and false positive results are common [11,13]. For this reason, an objective tool to evaluate back motion would be a useful asset in the clinical situation. First off, because changes in spinal kinematics are subtle and hence difficult to visually assess [14,15]. Secondly, it is well-known that subjective assessment of equine lameness is characterized by high inter-observer variability and strongly susceptible to bias [16,17]. The unreliability of subjective evaluation of spinal kinematics is likely to be only greater compared to lameness assessment, given the generally much subtle changes in ROM (before versus after intervention) than in cases of lameness. For the correct clinical interpretation of objective and quantitative data on equine spinal kinematics it is paramount to first quantify normal ranges of motion (ROM) and to evaluate the expected normal amount of biological variation. For frequently used lameness parameters, normal variation has already been addressed [1820]. Previous work on the normal variation in back kinematics achieved a high repeatability through standardization of the protocol and the use of treadmill locomotion. More variation was found between versus within horses [14]. Back kinematics captured on a treadmill in horses with back dysfunction [3] have been compared to kinematics of a group of asymptomatic horses [21]. There were some significant, but rather small differences in back ROM between the groups. Variation in spinal kinematics in the over-ground situation and on different paths and surfaces, as encountered in the clinical situation, has not been investigated yet.

The aim of the study was to establish normal ROMs in spinal kinematics in clinically sound horses trotting over-ground, including the quantification of the variation between horses and within horses over time. These data may serve as guidelines when interpreting biomechanical changes after an intervention, such as manipulation, medication, training or shoeing.

We hypothesized that between-horse variation would be larger compared to within-horse variation and that between-day variation would be larger than within-day variation.

Material and methods

Data collection took place in Germany. According to German law and regulations, ethical approval is not required for non-invasive experiments where animals are not subjected to any additional risks related to the study, outside normal handling. Thus, no ethical permission was required for this study. Informed consent for data collection was obtained from the horse owners prior to the study.

Horses

A detailed description of the study population has been published previously [18]. In brief, 12 sports horses in regular work (three geldings and nine mares) with a body mass range of 450–652 kg (mean 551 kg) and an age range of 5–15 years (mean 8.3 years) were used. Eleven horses were European warmbloods and one was a Friesian. Their competition level varied from not competing until intermediate level in either jumping or dressage. The horses were in regular use, deemed sound by their owner or rider and did not have any history of back or neck problems. An experienced equine veterinarian examined the horses on the day before the first measurement and graded them as sound or close to sound (‘fit to compete’) defined as less than 1 on the 0 to 5 AAEP lameness scale [22]. This judgment was based on a subjective assessment of a straight-line trot up on a soft surface (hard surface was not available at that timepoint).

Marker placement

Each horse was equipped with spherical reflective markers (soft spherical marker, 25 mm diameter a), attached to the skin with double-sided adhesive tape. The location of each marker was identified by clipping a small proportion of hair to ensure exact replacement of markers on the following days.

Three markers were placed in the frontal plane of the head (the lowest marker was used as the reference marker) and three markers on the withers (one on the highest point, two markers 20 cm lateral to the central one. A T-shaped strip with one marker at each end, was placed so that the three markers were located at the tuber sacrale and the craniodorsal aspect of both tubera coxae. Additional markers were attached to the skin above the dorsal spinous processes of T12, T15, T18, L3, L5 and the sacrum (S5). Marker placement is illustrated in Fig 1. Position was defined by palpation by the same researcher (AH) for all horses.

Fig 1. Marker placement in one of the study subjects.

Fig 1

Data collection

Optical motion capture data were recorded using Qualisys Motion Capture software (QTMa version: 2.14, build: 3180), connected to 28 high-speed infrared cameras (Oqus 700+a) set to a sampling frequency of 100Hz. The total covered area in this set-up was approximately 250 m2, height covered was at least 5 m. Calibration was done daily before the start of the measurements, according to the manufacturer’s instructions. The average calibration residual was 3.2 mm. Video recordings, synchronized with the motion capture system, were obtained for each measurement (Sony HDR-CX330).

Measuring protocol

The horses were divided into two groups for logistical reasons but subjected to identical measuring protocols. Measurements were repeated on 12 occasions over a period of up to 55 days. For each horse, measurements were grouped as five replicates on the first and five replicates on the second measurement day, followed by two replicates on the third measurement day (recheck). Between measurement days two and three, there was a period without measurements of at least 28 days. The time schedule of the data collection for each horse can be found in S1 Table.

Each measurement day started with a warm-up period of five minutes hand walking and ten minutes lunging. After the warm-up up period, markers were placed. Measurements were then performed with a five-minute interval between the first two measurements of each day (M1-M2, M6-M7, M11-M12) and with ten minutes in between the remaining measurements of that day (M2-M3-M4-M5, M7-M8-M9-M10). The sequence of registrations was hard (tarmac) straight line (2x20 m), soft straight line (2x30 m), and left and right lunge on soft surface (diameter approximately 10 m, length of lunge-line standardized by a knot), for all measurements (M1-M12). On the lunge, horses were measured for 25 s in each direction. The soft surface consisted of a combination of sand and synthetic fiber, which was harrowed daily before the first measuring session. Horses were trotted at their own preferred speed. Care was taken to minimize changes in speed, ensuring a steady-state movement during the whole measurement. The same handler always handled all horses in a group.

After each measurement, the 3D tracked data were visually inspected ensuring that all markers had been tracked adequately and data were suitable for analysis. Measurements with poor marker tracking or insufficient number of collected strides (five or less complete strides) were discarded.

Kinematic data analysis

Table 1 gives an overview of all analysed variables. Kinematic data were analysed using custom-made Matlab scripts c. Filtering of the data was performed as previously described [23], and further for all the back segments data, a 4th order low pass Butterworth filter with a cut-off frequency set to 30Hz was used to remove the high frequency noise present in the data.

Table 1. Kinematic parameters; 5% and 95% percentiles and median value, per parameter.

Variable Units Hard straight Soft straight Soft left Soft right
5% median 95% 5% median 95% 5% median 95% 5% median 95%
Stride duration sec 0.71 0.73 0.78 0.70 0.75 0.79 0.72 0.79 0.82 0.73 0.78 0.83
Stride frequency Hz 1.26 1.41 1.50 1.25 1.34 1.53 1.17 1.25 1.44 1.21 1.30 1.51
Speed m/s 3.13 3.35 3.78 3.26 3.79 4.39 2.97 3.30 3.74 3.04 3.35 3.63
Head ROM mm 51.99 67.21 87.75 52.56 70.89 100.09 58.05 87.10 125.38 63.12 94.95 144.50
Withers ROM mm 66.02 86.19 99.03 72.30 93.56 106.13 86.43 109.58 131.62 83.35 106.33 127.91
Sacrum ROM mm 76.74 90.01 95.42 80.54 96.34 106.14 84.15 106.79 129.05 88.33 110.21 125.12
Pelvis roll (AR) deg 5.84 8.51 9.08 6.37 9.65 12.94 5.90 8.77 14.09 6.09 9.35 12.87
Pelvis pitch (flex-ext) deg 4.92 6.98 8.16 5.01 7.62 10.50 6.06 8.08 11.09 5.97 8.27 11.34
Pelvis yaw (lat bend) deg 3.12 3.95 4.94 3.07 4.29 6.58 3.89 5.23 6.53 3.87 5.26 7.11
Body tracking deg -1.60 0.61 1.78 -2.17 0.27 2.59 -1.01 2.31 6.72 -4.82 -2.67 -0.51
Head swivel deg -8.89 -0.40 2.65 -6.52 -1.28 4.00 -17.09 -7.93 4.27 -5.70 4.48 13.90
Whole back flex-ext deg 3.98 4.91 5.61 4.00 4.97 6.27 4.38 5.71 7.12 4.19 5.55 6.66
Whole back lat bend deg 4.96 6.46 8.08 5.10 7.45 11.22 6.47 7.80 10.86 5.69 7.77 10.89
Flexion-extension T12 deg 2.45 3.42 5.83 2.68 3.77 6.53 2.63 3.94 7.20 2.62 3.88 8.55
Lateral bending T12 deg 5.52 7.24 14.88 4.73 7.56 19.26 5.18 7.42 16.67 4.49 7.35 15.13
Flexion-extension T15 deg 1.79 2.08 3.87 1.64 2.10 3.45 1.47 2.03 3.88 1.49 1.98 4.30
Lateral bending T15 deg 3.47 4.89 10.00 2.96 4.62 8.01 3.25 4.14 9.00 2.99 4.33 8.44
Flexion-extension T18 deg 1.73 1.92 3.07 1.40 2.29 2.99 1.38 2.31 2.91 1.86 2.55 3.29
Lateral bending T18 deg 1.88 3.20 8.07 1.87 3.10 7.21 2.26 3.26 8.46 2.11 3.38 8.26
Flexion-extension L3 deg 1.83 2.38 3.75 1.72 2.33 3.60 1.84 2.35 3.62 1.61 2.50 3.59
Lateral bending L3 deg 2.99 3.35 5.31 2.83 3.79 5.54 2.99 4.13 5.61 2.82 4.03 6.36
Flexion-extension L5 deg 1.30 2.91 4.41 1.57 2.30 4.65 1.81 2.56 4.86 1.81 2.60 5.08
Lateral bending L5 deg 2.36 3.07 5.07 2.76 4.22 8.11 2.69 4.20 6.78 2.96 4.43 7.15
Flex-ext tuber sacrale deg 2.61 3.46 3.83 2.67 3.62 4.86 2.82 3.86 5.05 2.91 3.63 4.83
Lat bend tuber sacrale deg 2.71 3.75 5.14 3.32 4.63 6.79 3.32 4.80 6.30 3.53 4.64 6.52

Values are calculated over all 12 horses and all available repetitions per horse for each path and surface combination, using measurement mean values. ‘ROM’ = Range of Motion, ‘flex-ext’ = Flexion-extension, ‘lat bend’ = Lateral bending, ‘AR’ = Axial rotation, ‘T’ = thoracic and ‘L’ = lumbar.

Stride segmentation was done as earlier described [18]. Speed was calculated by smoothed differentiation of the horizontal coordinates (x, y) of the marker on the tuber sacrale.

‘Whole back flexion-extension’ and ‘Whole back lateral bending’ were calculated as the angle between the two segments ‘withers—T15’ and ‘T15—tuber sacrale’, in the sagittal plane for flexion-extension and in the dorsal (horizontal) plane for lateral bending. Segment angles (T12, T15, T18, L3, L5 and tuber sacrale) were calculated in the same way as the flexion-extension and lateral bending of the whole back, using the markers cranial and caudal to the vertebra/marker in question. For example, the flexion-extension of T15 was calculated as the angle between T12-T15 and T15-T18, in the sagittal plane. To avoid projection errors, planes were corrected for the horse body lean angle, determined as stride mean pelvic roll during one complete stride [24]. Pelvic roll (axial rotation), pitch (flexion-extension) and yaw (lateral bending), all illustrated in [25], were calculated as projection angles in the frontal, sagittal and dorsal planes, respectively, using data from markers at the tuber sacrale and both tubera coxae. Calculations are illustrated in Fig 2.

Fig 2. Mean stride for the 5 main parameters of one horse, on the soft straight line: ‘Pelvis roll’, ‘Pelvis pitch’, ‘Pelvis yaw’, ‘Whole Back Flexion-extension’ and ‘Whole Back Lateral bending’.

Fig 2

On the right bottom, (a) ‘Head swivel’ and (b) ‘Body tracking’ are illustrated (degrees). Blue line indicates the mean, shaded area the standard deviation. ‘X’ illustrates how the values for the different parameters were calculated (degrees). ‘AR’ = Axial rotation, ‘flex-ext’ = Flexion-extension, ‘lat bend’ = Lateral bending.

The straightness of the body relative to the direction of motion (body tracking) was calculated as the angle in the horizontal plane between the direction of the body (withers to pelvis) and the body velocity vector (direction of movement). Similarly, the head swivel estimates the amount of cervical lateral bending and was calculated as the angle between the cervical spine (head to withers) and the body (withers to pelvis) (Fig 2). For body tracking, a positive value indicates tracking of the forehand to the right and the hind quarters to the left. For head swivel, a positive value indicates cervical bending to the right.

Statistical analysis

Open software R (3.3.1) b was used for statistical analysis. Three different statistical analyses were performed:

  1. 5%, 50% (median) and 95% percentiles were determined for each of the different path and surface combinations for all parameters, i.e. back angles, pelvic rotations, body tracking, head swivel and speed. This was done over all 12 horses and all available repetitions, using measurement mean values.

  2. Mixed models (‘Variability Model’) were used to address between-measurement variation. This was done by creating an ‘offset adjusted’ dataset. First, measurement means were calculated over all available strides. Then the mean of all measurements (M1-M12) for each horse, path and surface combination was subtracted, thus data for each horse were centered around zero per path-surface combination. Absolute values of the ‘offset adjusted’ dataset were used as outcome (dependent) data, and were square root transformed due to skewness of the model residuals. Fixed effects were day (day one, day two and recheck), measurement number (day one (1–5), day two (6–10) and 11–12 at recheck), path and surface. Horse ID was used as a random effect. Significance was set at p< 0.05. Speed was added to each model as a linear effect. If significant, model estimates from the models with and without speed were compared, to evaluate the influence of speed in the outcome variables. Interactions between fixed effects could not be evaluated (because of no measurements of circles on hard surface) and models were not reduced. Prediction intervals (95%) were calculated for each path and surface combination. As data were offset-adjusted (zero-centered) and prediction intervals thus symmetric around zero, only the upper limits have been tabulated.

The R packages dplyr, lme4, lmerTest, lsmeans, psychometric and ggplot2 were used. Normality of the model residuals was checked using q-q plots and box-plots and homoscedasticity was checked by plotting the fitted values versus the residuals.

  1. To address the repeatability of the different parameters, the intra-class correlation coefficient (ICC) was calculated for each path-surface combination with the R function ICC.lme (version v 2.2) using the horse, surface and path (straight line or circle) as grouping variables, using measurement mean values (non-offset adjusted).

Results

Three horses (horses 3, 8, 10) were not available for the last measuring session (M11-12). One measurement was lost due to technical issues (horse two, M2, soft left circle). Due to marker misplacement (T12 and T15) of horse two, the recheck measurements (M11 and M12) were discarded. A total of 482 measurements were used, 61 were discarded because of less than five strides (hard straight line). All data used in the analysis and for the graphics is available in S4 Table.

For the straight-line measurements, the mean (s.d.) number of included strides per measurement was 14 (3.8). For the lunge, the number of strides per measurement was 36.8 (5.6) and mean circle diameter was 9.7 (0.6) m (based on the trajectory of the tuber sacrale marker). The baseline values for the typical lameness parameters of each horse can be found elsewhere [18]; none of the horses had a lameness score higher than the chosen threshold of 1 out of 5 on the AAEP scale at any of the study days. Therefore, none of them was excluded from the study.

Quantification of range of motion

Table 1 presents ROM of all parameters, 5% and 95% percentiles and median values, calculated over all 12 horses and all 12repetitions, except for the excluded data as mentioned above. For all back and pelvic parameters, the lowest median values were obtained on the hard straight line. Higher ROMs in four of the five main parameters (Figs 37) were seen on the lunge compared to the straight line. On the left lunge, the head swivel angle was twice as large as on the right lunge.

Fig 3. Between-measurement variation (offset adjusted data) for ‘Whole Back Flexion-extension’ (calculated as the angle between the two segments ‘withers—T15’ and ‘T15—tuber sacrale’), per measurement, per day and per horse (measurement-mean data).

Fig 3

Black lines indicate 95% prediction intervals.

Fig 7. Between-measurement variation (offset adjusted data) for ‘Pelvis yaw’ (lateral bending of the pelvis), per measurement, per day and per horse (measurement-mean data).

Fig 7

Black lines indicate 95% prediction intervals.

Fig 4. Between-measurement variation (offset adjusted data) for ‘Whole Back Lateral bending’ (calculated as the angle between the two segments ‘withers—T15’ and ‘T15—tuber sacrale’), per measurement, per day and per horse (measurement-mean data).

Fig 4

Black lines indicate 95% prediction intervals.

Fig 5. Between-measurement variation (offset adjusted data) for ‘Pelvis roll’ (axial rotation of the pelvis) per measurement, per day and per horse (measurement-mean data).

Fig 5

Black lines indicate 95% prediction intervals.

Fig 6. Between-measurement variation (offset adjusted data) for ‘Pelvis pitch’ (flexion-extension of the pelvis), per measurement, per day and per horse (measurement-mean data).

Fig 6

Black lines indicate 95% prediction intervals.

Variation between and within horses

Variation between and within horses, and between and within days (absolute difference from the mean of all repetitions) of the five main parameters is visualised in Figs 37, and of the back segments in S2 Table. Variation between versus within horses is further visualised as boxplots in Fig 8 and S1 Fig, with fairly small individual boxes compared to more considerable differences between the different horses.

Fig 8. Between-measurement-variation (Non offset adjusted data) per horse and per path over all measurements.

Fig 8

Here for the parameters ‘Whole Back Flexion-extension’, ‘Whole Back Lateral bending’, ‘Pelvis roll’, ‘Pelvis pitch’, ‘Pelvis yaw’, ‘Speed’, ‘Head swivel’ and ‘Body tracking’. These illustrations enable the evaluation of the absolute values and the differences between versus within horses (relatively small individual boxes compared to the more substantial difference between the different boxplots).

Prediction intervals for the between-measurement variation of all parameters can be found in Table 2, and for the back segments in S2 Table. Mean prediction intervals (average over the four path-surface combinations) for flexion-extension and lateral bending of the whole back were (±) 0.8 and 1.0 degree, respectively and for pelvic pitch, yaw and roll 1.0, 0.7 and 1.3 degrees, respectively. The mean prediction interval for speed was 0.4 m/s, with a maximum of 0.6 m/s on the hard straight line. Mean prediction intervals for the back segments varied between 0.6 and 1.2 degrees (S2 Table).

Table 2. Between-measurement variation, given as the (absolute) 95% prediction interval, per condition and per parameter.

Within brackets the between-measurement variation as percentage of the stride ROM for each of the five main parameter. Calculated arithmetic means of the predictions are shown in the last column.

hard straight soft straight soft left soft right mean variation
Flexion-extension (deg) 1(20%) 0.7(14%) 0.7(12%) 0.6(11%) 0.8
Lateral bending (deg) 1.2(19%) 1.1(15%) 0.9(12%) 0.9(12%) 1
Pelvis roll (deg) 1.5(18%) 1.2(12%) 1.2(14%) 1.2(13%) 1.3
Pelvis pitch (deg) 1.3(19%) 0.9(12%) 0.8(10%) 1.1(13%) 1
Pelvis yaw (deg) 1(25%) 0.7(16%) 0.6(11%) 0.6(11%) 0.7
Head swivel (deg) 9.8 7.1 10.1 5.7 8.2
Body tracking (deg) 3 2.5 2.2 1.8 2.4
Speed (m/s) 0.6 0.5 0.3 0.3 0.4

Values are calculated over all 12 horses and all repetitions per horse for each path and surface combination. ‘Flexion-extension’ and ‘Lateral bending’ were calculated as the angle between the two segments ‘withers—T15’ and ‘T15—tuber sacrale’, in the sagittal plane for flexion-extension and in the dorsal (horizontal) plane for lateral bending.

Effect of time, surface and path on the variation

In the variability model, for all five main parameters (Figs 37), between-measurement variation (absolute difference from the mean of all repetitions) tended to reduce over repetitions (S3 Table). There was generally more variation on the hard straight line. Significantly more variation was observed at the recheck (p<0.001). Significantly more variation at the recheck was also observed for the variable speed (p = 0.04), but it did not have a significant effect on all five main parameters when speed was added to the model. Only for pelvic yaw, there was a tendency of speed to have an effect on the model outcomes (p = 0.08) with a positive estimate, but adding speed had only marginal influence on the other estimates.

Head swivel angle showed the same tendency to reduced variation with increasing repetitions. More variation was seen on hard surface (p<0.05) and on the circle (p<0.01). Furthermore, head swivel angle showed a tendency to more variation at recheck compared to day one and day two. Body tracking showed the same tendency to reduced variation with increasing repetitions. More variation was seen at recheck (p<0.05).

For the back segments, there was also a tendency to reduced variation with increased repetitions, but not for T12 flexion-extension, T12 lateral bending, T18 flexion-extension, L3 flexion-extension, L5 lateral bending and lumbosacral lateral bending. More variation at recheck was significant for all segments (p<0.05).

Intra-class correlation coefficient (ICC)

Table 3 gives an overview of ICC values. Green color-coding indicates the highest ICC values (i.e. a better repeatability of these parameters); yellow and red coding indicate moderate and low repeatability, respectively. ICCs were high for pelvic rotations (roll, pitch and yaw), with values ranging from 0.76 and 0.93. For the whole back, ICCs were 0.80–0.91 for lateral bending, and 0.51–0.83 for flexion-extension. ICCs were lower (orange to red scaling) for head swivel (0.22–0.77) and for body tracking (0.62–0.80). Repeatability for the back segments ranged between 0.34 and 0.89. ICCs on the hard, straight line were overall lower compared to all paths on soft surface.

Table 3. ICC outcomes.

Hard straight Soft straight Soft left Soft right
Pelvis roll (Axial rotation) 0.82 0.91 0.92 0.9
Pelvis pitch (Flexion-extension) 0.86 0.9 0.9 0.84
Pelvis yaw (Lateral bending) 0.76 0.9 0.9 0.93
Speed 0.25 0.53 0.38 0.38
Head swivel 0.23 0.22 0.59 0.77
Body tracking 0.54 0.63 0.8 0.62
Whole back Flexion-extension 0.51 0.8 0.83 0.83
Whole back Lateral bending 0.8 0.88 0.87 0.91
Flexion-extension T12 0.83 0.87 0.86 0.85
Lateral bending T12 0.78 0.78 0.82 0.8
Flexion-extension T15 0.49 0.7 0.65 0.78
Lateral bending T15 0.77 0.81 0.83 0.82
Flexion-extension T18 0.43 0.73 0.76 0.52
Lateral bending T18 0.83 0.82 0.89 0.84
Flexion-extension L3 0.64 0.84 0.76 0.86
Lateral bending L3 0.68 0.85 0.78 0.87
Flexion-extension L5 0.83 0.83 0.85 0.83
Lateral bending L5 0.56 0.81 0.84 0.82
Flexion-extension tuber sacrale 0.34 0.53 0.54 0.38
Lateral bending tuber sacrale 0.46 0.72 0.75 0.74
0.6205 0.753 0.776 0.765

Color coding from red (0.22, lowest values) to green (0.93, highest values).

Discussion

In the present study, ROM and between-measurement variation was investigated for spinal kinematics, measured by optical motion capture. The primary aim was to establish normal ranges for spinal kinematics in clinically sound horses trotting over-ground, which would be useful for comparing conditions before and after intervention or for distinguishing between normal and abnormal movement in horses with suspected back dysfunction.

Although this group of horses (n = 12) is relatively small, differences between horses in back and pelvic ROM were substantial. The 5–95% percentile range corresponds to 30–50% of the stride ROM for the five main parameters (Table 1). Variation in back ROM between horses under comparable conditions can be related to several factors. Conformation, discipline and age have been shown to influence back ROM [14,21]. Higher movement quality, as judged at official performance tests, has been shown to correlate with limb kinematics, for example a longer stride duration, a larger positive diagonal advanced placement and more flexion in the elbow, carpus, hock and hind fetlock joints [26] and could therefore also be an influencing factor for spinal biomechanics. Substantial between-horse variation has been found for lameness parameters as well, indicative of individual motion patterns. [18].

Horses included in this study were perceived sound by their owners, in regular work and scored as sound or less than 1 out of 5 lame on the AAEP scale[22]. Hence, not all horses showed perfect symmetry at trot. This is representative for the sports horse population at large. Earlier studies have shown that a significant proportion of the sports horse population is not classified as completely sound or symmetrical in their gait patterns, irrespective whether assessment is done subjectively by an experienced clinician [27] or evaluated by objective quantitative techniques [28]. It is not known whether symmetry in lameness parameters correlate with back ROM in sound or well-performing horses, but if so, this could be an additional source of between-horse variation.

For head swivel (Fig 2), most horses showed left lateral bending on both hard and soft straight lines (Table 1). This is likely to some extent related to the handler guiding the horse from the left side. However, on the circle most horses also showed considerably more bending to the left on the left circle, compared to right bending on the right circle. It has been discussed whether sidedness in horses, as in this asymmetric cervical bending, is a consequence of human handling or related to innate laterality [29]. Variation in sidedness patterns between horses could influence back ROM, perhaps particularly on the circle. Body tracking (Fig 2) is almost symmetric when comparing left and right circles, and was generally straight on straight lines, so cervical lateral bending asymmetries appear to be relatively independent from body tracking.

In line with our hypothesis, there was larger between-horse variation compared to within-horse variation. Therefore, measurements of back ROM are clinically more useful if measurements before and after intervention are performed, with the horse being used as its own control. A larger between-horse variation in spinal kinematics, compared to within-horse variation, was observed in a previous study [14]. However, the expected effect size for interventions as mentioned above still needs to be larger than the between-measurement variation. A study comparing spinal kinematics in normal, well-performing horses and horses diagnosed with back pain found rather small differences, comparing them to our prediction intervals of normal variation. In trot, differences in ROM of 0.61 degrees (T17, flexion-extension) and 0.52 degrees (L1, flexion-extension) were found [3]. When horses before and after chiropractic intervention were compared [15], average improvements of 0.3 degrees (T13), 0.8 degrees (T17) for flexion-extension and 0.5 degrees (L3) for lateral bending were found. Comparing this to our results, it turns out that the prediction intervals for between-measurement variation are larger; values of 0.6 to 1.2 degrees in the segmental calculations (S2 Table) and 0.7 to 1.3 degrees for the five main parameters (Table 2). Due to the higher between-measurement variation in our study compared to the differences between symptomatic and asymptomatic, or the differences before and after intervention, objective measurements of back ROM will have inadequate sensitivity for detecting these differences in individual horses.

For most of the studied variables, significant differences in between-measurement variation were found depending on surface and path, with more variation on hard surface for almost all variables, and more variation on the circle for head swivel. There are several explanations for the tendency to more between-measurement variation on the hard surface. First, the shorter trot-up (40 m versus 70 m on the soft surface) implies less strides collected and thereby more influence of single strides on the mean value. Furthermore, the fact that ROM was lower on hard surface compared to soft surface in most horses (Table 1),results in small variations, or any measurement errors, being a larger part of the ROM and consequently in lower ICC values (Table 3). Soft surface reduces impact peak loading and maximal ground reaction forces [3032], which may make horses feel more comfortable, thereby resulting in a higher ROM. In human runners, an increased ROM of the pelvis was found on soft surface as well[33]. There is also a possibility that (subclinical) gait irregularities became more manifest on the hard surface. To summarize, taking care to collect enough strides to ensure correct interpretation is important and soft surface is possibly more suited for the assessment of spinal kinematics due to the higher ROM.

The higher variation of the head swivel angle on the circle (compared to the soft straight line) is likely due to more freedom of cervical motion on the lunge. In general, the horses also showed increased back ROM on the circle compared to the straight (Table 1), which is in line with previous findings[12]. This stresses the importance of assessing spinal kinematics on the circle in addition to straight line, but differences in spinal biomechanics between circle and straight line warrant further investigation.

As for the lameness parameters in the earlier study[18], there is a tendency for all five main parameters to reduced variation with increased repetitions. However, a significantly larger difference from the mean of all 12 repeats was seen at recheck (M11-M12, p<0.001). We assume that there is a training effect which makes horses more accustomed to the environment after a few trot-ups, despite a prior warm-up. By the time of the recheck (which included only two measurement), this effect will have worn off. This implicates that, in a clinical situation, the horse should be given enough time to get accustomed to the environment, in order to perform a proper subjective and objective evaluation of locomotion.

Apart from the systematic factors and natural movement variability, between-measurement variation may also have been influenced by issues related to data collection and data quality. Marker placement plays an important role when using optical motion capture and the influence of incorrect marker placement is large when measuring spinal kinematics, because of small ROM; a small misplacement can have significant influence on the results[34]. Marker placement is likely partly responsible for the higher variation at recheck in this study. It will also be difficult to avoid some inconsistency in marker placement in the clinical situation, where one is normally not allowed to clip or mark horses for repeated measurements.

Correcting for speed in our models had minimal influence on the estimates for between-measurement variation. This is a clinically important finding, as it indicates that, when taking the usual care to keep speed as constant as possible, there is no need in a clinical setting to correct for small differences in speed between measurements, for example before and after an intervention.

The ICCs are highest in pelvic motion (Table 3). This can be explained by the pelvis behaving as a rigid body[35], whereas the back segments include anatomical locations containing various joints. Furthermore, marker configuration may play a role here; both tuber coxae and tuber sacrale markers form one single unit and are hence less prone to effects of marker (mis)placement [34]. Repeatability of the whole back flexion-extension and lateral bending is fairly good and similar for the different path and surface combinations (0.80–0.91), except for the hard, straight line in flexion-extension, where ICC is 0.51. Three studies have evaluated between-measurement ICCs for lameness parameters. Using data collected at the same occasion as the data used in this study, ICC values of 0.90–0.99 were found[18]. In thoroughbreds in training, with data collected with IMUs, ICC values ranged from 0.40 to 0.92 across parameters for daily repeats and 0.27 to 0.91 for weekly repeats [19]. Another study using an IMU-based gait analysis system found that same day repeats resulted in ICC values ≥0.89 for head vertical movement and ≥0.93 for pelvic vertical movement[20]. ICCs have not been previously published for spinal kinematics, but a study on repeatability of back ROM found that variation between horses was at least twice as large compared to variation between days, when quantified as coefficient of variation [14]. In the clinical situation, our results indicate that repeated measurements are reliable for whole back flexion-extension and lateroflexion and for pelvic roll, pitch and yaw. Concerning the back segments, one should interpret differences before and after a given intervention with more care, as ICC’s are clearly lower and hence less reliable. For all parameters, the horse should serve as its own control due to the larger between-horse variation.

The clinical examination of the equine spine is described as subjective and variation exists in the approach to this examination, depending on experience, tradition and personal bias [11]. During lameness assessment, different professionals look at different parameters [36], and the same is likely true for the back. Additionally, the human eye may not be capable of appreciating the small variations in movement symmetry [37], or discriminate between normal and pathological back movement. Preliminary data on agreement between veterinarians/physiotherapists assessing spinal motion showed very poor interclass correlations (T. Spoormakers, personal communication), suggesting potential benefits for evaluating back kinematics objectively. However, our results indicate that solely relying on measurements of back ROM, might not be an effective approach for the objective quantification of back dysfunction. The patterns of the different variables over a stride (Fig 2) and the symmetry of movements, may turn out to be clinically more relevant. Since the movement pattern and ROM of the back differ between gaits, evaluating the horse also in walk and/or canter could add further information to the picture. As pattern recognition is a key capability of the human brain (cerebellum)[38] and some of this capacity can be simulated through machine learning [39,40], there might be future possibilities upcoming, using machine learning to objectively assess spinal biomechanics. Therefore, more research and collaboration between veterinarians, chiropractors, engineers and specialists in the field of objective gait analysis is likely needed to develop clinically applicable methods to improve the quality of evaluation of horses presented for disorders of the neck, back and pelvis.

This study has several limitations. The study was performed on a small population including horses from different disciplines, ages and levels. Before inclusion horses were only evaluated on soft surface, which is uncommon in clinical practice. The correlations between whole back and segment variables were not investigated. It is evident from Table 1 that adding all segments gives a larger ROM than the corresponding whole back variable. These discrepancies are likely due to the fact that the whole back angle approximates back movement as if occurring at a single joint at T15 whereas the segments represent the movement with greater resolution. Also, the mean of the 12 repeats will be more influenced by day 1 and 2 (both 5 repetitions), compared to the recheck, with only 2 repetitions.

Conclusion

In line with previous findings, variation in back ROM between horses was larger than within horses. However, the between-measurement variation found in the present study was larger compared to reported differences between horses with and without back pain. Optical motion capture is also sensitive to marker misplacement. Combined interpretation of measurements under several conditions, e.g. straight/circle, walk/trot, and assessments of stride patterns (instead of only calculating ROM and minima/maxima) over multiple variables may be a way to increase usefulness of objective measurements of spinal kinematics. Further research and collaboration between experts in several fields is needed to find useful tools and protocols for back evaluation in equine patients.

Supporting information

S1 Fig. Between-measurement variation (offset adjusted data) for ‘Whole Back Flexion-extension’, ‘Whole Back Lateral bending’, ‘Pelvis roll’, ‘Pelvis pitch’, ‘Pelvis yaw’, ‘Speed’, ‘Head swivel’ and ‘Body tracking’.

These data enable the evaluation of the amount and differences in variation.

(DOCX)

S1 Table. Time schedule of all measurements (M1-M12).

*Horses were measured at different timepoints during the recheck (M11). ** M12 was done 5 minutes after M11.

(DOCX)

S2 Table. Between-measurement variation of the back segments in degrees, given as the (absolute) prediction interval, per condition and per parameter.

Calculated arithmetic means of the predictions are shown in the last column.

(DOCX)

S3 Table. Model estimates ‘Variability Model’, testing the effect of time, surface and path.

Intercept = referenced level (day one, straight line, soft surface). Significance codes: 0 − < 0.001 ‘***’ 0.001 − < 0.01 ‘**’ 0.01 − < 0.05 ‘*’ 0.05 − < 0.1 ‘’.

(DOCX)

S4 Table. Raw data as used for the graphical and statistical analysis.

(XLSX)

Acknowledgments

The authors would like to sincerely thank the owners of the horses and the staff of ‘Tierklinik Luesche’ for their assistance.

Data Availability

All relevant data are within the manuscript and its Supporting Information files.

Funding Statement

Tierklinik Lüsche GmbH’ provided support in the form of salaries for authors [JH (fourth author), AH (first author)], but did not have any additional role in the study design, data collection and analysis, decision to publish, or preparation of the manuscript that could lead to conflicting situations. The specific roles of these authors are articulated in the ‘author contributions’ section.

References

  • 1.Zimmerman M, Dyson S, Murray R. Close, impinging and overriding spinous processes in the thoracolumbar spine: The relationship between radiological and scintigraphic findings and clinical signs. Equine Vet J. 2012;44: 178–184. 10.1111/j.2042-3306.2011.00373.x [DOI] [PubMed] [Google Scholar]
  • 2.Jeffcott LB. Disorders of the thoracolumbar spine of the horse—a survey of 443 cases. Equine Vet J. 1980;12: 197–210. 10.1111/j.2042-3306.1980.tb03427.x [DOI] [PubMed] [Google Scholar]
  • 3.Wennerstrand J, Johnston C, Roethlisberger-Holm K, Erichsen C, Eksell P, Drevemo S. Kinematic evaluation of the back in the sport horse with back pain. Equine Vet J. 2004;36: 707–711. 10.2746/0425164044848226 [DOI] [PubMed] [Google Scholar]
  • 4.Wennerstrand J, Gómez Álvarez CB, Meulenbelt R, Johnston C, van Weeren PR, Roethlisberger-Holm K, et al. Spinal kinematics in horses with induced back pain. Vet Comp Orthop Traumatol. 2009;22: 448–454. 10.3415/VCOT-08-09-0088 [DOI] [PubMed] [Google Scholar]
  • 5.Gomez Alvarez CB, Bobbert MF, Lamers L, Johnston C, Back W, van Weeren PR. The effect of induced hindlimb lameness on thoracolumbar kinematics during treadmill locomotion. Equine Vet J. 2008;40: 147–152. 10.2746/042516408X250184 [DOI] [PubMed] [Google Scholar]
  • 6.Gómez Alvarez CB, Wennerstrand J, Bobbert MF, Lamers L, Johnston C, Back W, et al. The effect of induced forelimb lameness on thoracolumbar kinematics during treadmill locomotion. Equine Vet J. 2007;39: 197–201. 10.2746/042516407x173668 [DOI] [PubMed] [Google Scholar]
  • 7.Greve L, Dyson SJ. The interrelationship of lameness, saddle slip and back shape in the general sports horse population. Equine Vet J. 2014;46: 687–694. 10.1111/evj.12222 [DOI] [PubMed] [Google Scholar]
  • 8.Greve L, Dyson SJ. An investigation of the relationship between hindlimb lameness and saddle slip. Equine Vet J. 2013;45: 570–577. 10.1111/evj.12029 [DOI] [PubMed] [Google Scholar]
  • 9.Greve L, Dyson S. Saddle fit and management: An investigation of the association with equine thoracolumbar asymmetries, horse and rider health. Equine Vet J. 2015;47: 415–421. 10.1111/evj.12304 [DOI] [PubMed] [Google Scholar]
  • 10.Buchner HH, Savelberg HH, Schamhardt HC, Barneveld A. Head and trunk movement adaptations in horses with experimentally induced fore- or hindlimb lameness. Equine Vet J. 1996;28: 71–76. 10.1111/j.2042-3306.1996.tb01592.x [DOI] [PubMed] [Google Scholar]
  • 11.Wolschrijn C, Audigié F, Wijnberg ID, Johnston C, Denoix JM, Back W. The neck and back In: Back W, Clayton HM, editors. Equine Locomotion. 2013. pp. 216–223. [Google Scholar]
  • 12.Greve L, Pfau T, Dyson S. Thoracolumbar movement in sound horses trotting in straight lines in hand and on the lunge and the relationship with hind limb symmetry or asymmetry. Vet J. 2017;220: 95–104. 10.1016/j.tvjl.2017.01.003 [DOI] [PubMed] [Google Scholar]
  • 13.Erichsen C, Eksell P, Roethlisberger Holm K, Lord P, Johnston C. Relationship between scintigraphic and radiographic evaluations of spinous processes in the thoracolumbar spine in riding horses without clinical signs of back problems. Equine Vet J. 2010;36: 458–465. 10.2746/0425164044877341 [DOI] [PubMed] [Google Scholar]
  • 14.Faber M, Johnston C, van Weeren PR, Barneveld A. Repeatability of back kinematics in horses during treadmill locomotion. Equine Vet J. 2002;34: 235–241. 10.2746/042516402776186010 [DOI] [PubMed] [Google Scholar]
  • 15.Gomez Alvarez CB, L’ami JJ, Moffat D, Back W, van Weeren PR. Effect of chiropractic manipulations on the kinematics of back and limbs in horses with clinically diagnosed back problems. Equine Vet J. 2008;40: 153–159. 10.2746/042516408X250292 [DOI] [PubMed] [Google Scholar]
  • 16.Keegan KG, Dent E V, Wilson DA, Janicek J, Kramer J, Lacarrubba A, et al. Repeatability of subjective evaluation of lameness in horses. Equine Vet J. 2010;42: 92–97. 10.2746/042516409X479568 [DOI] [PubMed] [Google Scholar]
  • 17.Arkell M, Archer RM, Guitian FJ, May SA. Evidence of bias affecting the interpretation of the results of local anaesthetic nerve blocks when assessing lameness in horses. Vet Rec. 2006;159: 346–349. 10.1136/vr.159.11.346 [DOI] [PubMed] [Google Scholar]
  • 18.Hardeman AM, Serra Braganca FM, Swagemakers JH, van Weeren PR, Roepstorff L. Variation in gait parameters used for objective lameness assessment in sound horses at the trot on the straight line and the lunge. Equine Vet J. 2019;0: 1–9. 10.1111/evj.13075 [DOI] [PMC free article] [PubMed] [Google Scholar]
  • 19.Sepulveda Caviedes MF, Forbes BS, Pfau T. Repeatability of gait analysis measurements in Thoroughbreds in training. Equine Vet J. 2018;50: 513–518. 10.1111/evj.12802 [DOI] [PubMed] [Google Scholar]
  • 20.Keegan KG, Kramer J, Yonezawa Y, Maki H, Frank Pai P, Dent E V., et al. Assessment of repeatability of a wireless, inertial sensor-based lameness evaluation system for horses. Am J Vet Res. 2011;72: 1156–1163. 10.2460/ajvr.72.9.1156 [DOI] [PubMed] [Google Scholar]
  • 21.Johnston C, Roethlisberger-Holm K, Erichsen C, Eksell P, Drevemo S. Kinematic evaluation of the back in fully functioning riding horses. Equine Vet J. 2004;36: 495–498. 10.2746/0425164044877431 [DOI] [PubMed] [Google Scholar]
  • 22.AAEP. Guide to veterinary services for horse shows. 7th ed. Lexington K. AA of EP, editor. Guide to Veterinary Services for Horse Shows, Seventh Ed. American Association of Equine Practitioners, Lexington, KY. 1999.
  • 23.Serra Bragança FM, Roepstorff C, Rhodin M, Pfau T, van Weeren PR, Roepstorff L. Quantitative lameness assessment in the horse based on upper body movement symmetry: The effect of different filtering techniques on the quantification of motion symmetry. Biomed Signal Process Control. 2020;57 10.1016/j.bspc.2019.101674 [DOI] [Google Scholar]
  • 24.Pfau T, Stubbs NC, Kaiser LJ, Brown LE a, Clayton HM. Effect of trotting speed and circle radius on movement symmetry in horses during lunging on a soft surface. Am J Vet Res. 2012;73. [DOI] [PubMed] [Google Scholar]
  • 25.Clayton HM, Hobbs SJ. The role of biomechanical analysis of horse and rider in equitation science. Appl Anim Behav Sci. 2017;190: 123–132. 10.1016/j.applanim.2017.02.011 [DOI] [Google Scholar]
  • 26.Holmström M, Fredericson I, Drevemo S. Biokinematic differences between riding horses judged as good and poor at the trot. Equine Vet J. 1994;26: 51–56. [DOI] [PubMed] [Google Scholar]
  • 27.Dyson S, Greve L. Subjective Gait Assessment of 57 Sports Horses in Normal Work: A Comparison of the Response to Flexion Tests, Movement in Hand, on the Lunge, and Ridden. J Equine Vet Sci. 2016;38: 1–7. 10.1016/j.jevs.2015.12.012 [DOI] [Google Scholar]
  • 28.Rhodin M, Egenvall A, Andersen PH, Pfau T. Head and pelvic movement asymmetries at trot in riding horses in training and perceived as free from lameness by the owner. PLoS One. 2017;12: e0176253 10.1371/journal.pone.0176253 [DOI] [PMC free article] [PubMed] [Google Scholar]
  • 29.Williams J. Laterality: implications for equine management and performance. Vet Nurse. 2014;2: 434–441. 10.12968/vetn.2011.2.8.434 [DOI] [Google Scholar]
  • 30.Chateau H, Holden L, Robin D, Falala S, Pourcelot P, Estoup P, et al. Biomechanical analysis of hoof landing and stride parameters in harness trotter horses running on different tracks of a sand beach (from wet to dry) and on an asphalt road. Equine Vet J. 2010;42: 488–495. 10.1111/j.2042-3306.2010.00277.x [DOI] [PubMed] [Google Scholar]
  • 31.Oosterlinck M, Royaux E, Back W, Pille F. A preliminary study on pressure-plate evaluation of forelimb toe-heel and mediolateral hoof balance on a hard vs. a soft surface in sound ponies at the walk and trot. Equine Vet J. 2014;46: 751–755. 10.1111/evj.12210 [DOI] [PubMed] [Google Scholar]
  • 32.Crevier-Denoix N, Robin D, Pourcelot P, Falala S, Holden L, Estoup P, et al. Ground reaction force and kinematic analysis of limb loading on two different beach sand tracks in harness trotters. Equine Vet J. 2010;42: 544–551. 10.1111/j.2042-3306.2010.00202.x [DOI] [PubMed] [Google Scholar]
  • 33.Mourot L, Holmberg H, He KIM. Elite and Amateur Orienteers’ Running Biomechanics on Three Surfaces at Three Speeds. Med Sci Sport Exerc. 2014;4: 381–389. 10.1249/MSS.0000000000000413 [DOI] [PubMed] [Google Scholar]
  • 34.Serra Braganca FM, Rhodin M, Wiestner T, Hernlund E, Pfau T, van Weeren PR, et al. Quantification of the effect of instrumentation error in objective gait assessment in the horse on hindlimb symmetry parameters. Equine Vet J. 2018;50: 370–376. 10.1111/evj.12766 [DOI] [PMC free article] [PubMed] [Google Scholar]
  • 35.Starke SD, May SA, Pfau T. Understanding hind limb lameness signs in horses using simple rigid body mechanics. J Biomech. 2015;48: 3323–3331. 10.1016/j.jbiomech.2015.06.019 [DOI] [PubMed] [Google Scholar]
  • 36.Keegan KG, Wilson DA, Kramer J, Reed SK, Yonezawa Y, Maki H, et al. Comparison of a body-mounted inertial sensor system-based method with subjective evaluation for detection of lameness in horses. AJVR. 2013;74: 17–24. [DOI] [PubMed] [Google Scholar]
  • 37.Parkes RS, Weller R, Groth AM, May S, Pfau T. Evidence of the development of ‘domain-restricted’ expertise in the recognition of asymmetric motion characteristics of hindlimb lameness in the horse. Equine Vet J. 2009;41: 112–117. 10.2746/042516408x343000 [DOI] [PubMed] [Google Scholar]
  • 38.Albus JS. A theory of cerebellar function. Math Biosci. 1971;10: 25–61. 10.1016/0025-5564(71)90051-4 [DOI] [Google Scholar]
  • 39.Hausknecht M, Li WK, Mauk M, Stone P. Machine Learning Capabilities of a Simulated Cerebellum. IEEE Trans Neural Netw Learn Syst. 2017;28: 510–522. 10.1109/TNNLS.2015.2512838 [DOI] [PubMed] [Google Scholar]
  • 40.Gauthier I, Tarr MJ. Visual Object Recognition: Do We (Finally) Know More Now Than We Did? Annu Rev Vis Sci. 2016;2: 377–396. 10.1146/annurev-vision-111815-114621 [DOI] [PubMed] [Google Scholar]

Decision Letter 0

Chris Rogers

12 Nov 2019

PONE-D-19-24742

Range of motion and between-measurement variation of spinal kinematics in sound horses at trot on the straight line and on the lunge.

PLOS ONE

Dear Mrs. Hardeman,

Thank you for submitting your manuscript to PLOS ONE. After careful consideration, we feel that it has merit but does not fully meet PLOS ONE’s publication criteria as it currently stands. Therefore, we invite you to submit a revised version of the manuscript that addresses the points raised during the review process.

We would appreciate receiving your revised manuscript by Dec 27 2019 11:59PM. When you are ready to submit your revision, log on to https://www.editorialmanager.com/pone/ and select the 'Submissions Needing Revision' folder to locate your manuscript file.

If you would like to make changes to your financial disclosure, please include your updated statement in your cover letter.

To enhance the reproducibility of your results, we recommend that if applicable you deposit your laboratory protocols in protocols.io, where a protocol can be assigned its own identifier (DOI) such that it can be cited independently in the future. For instructions see: http://journals.plos.org/plosone/s/submission-guidelines#loc-laboratory-protocols

Please include the following items when submitting your revised manuscript:

  • A rebuttal letter that responds to each point raised by the academic editor and reviewer(s). This letter should be uploaded as separate file and labeled 'Response to Reviewers'.

  • A marked-up copy of your manuscript that highlights changes made to the original version. This file should be uploaded as separate file and labeled 'Revised Manuscript with Track Changes'.

  • An unmarked version of your revised paper without tracked changes. This file should be uploaded as separate file and labeled 'Manuscript'.

Please note while forming your response, if your article is accepted, you may have the opportunity to make the peer review history publicly available. The record will include editor decision letters (with reviews) and your responses to reviewer comments. If eligible, we will contact you to opt in or out.

We look forward to receiving your revised manuscript.

Kind regards,

Chris Rogers

Academic Editor

PLOS ONE

Journal Requirements:

When submitting your revision, we need you to address these additional requirements.

Please ensure that your manuscript meets PLOS ONE's style requirements, including those for file naming. The PLOS ONE style templates can be found at

http://www.journals.plos.org/plosone/s/file?id=wjVg/PLOSOne_formatting_sample_main_body.pdf and http://www.journals.plos.org/plosone/s/file?id=ba62/PLOSOne_formatting_sample_title_authors_affiliations.pdf

1. Thank you for providing your Ethics statement to state that approval was not needed in this case. We would usually expect approval if the research involves manipulation for the specific purpose of the study. In this case, the manipulation is not routine, so we would typically expect approval. Can you please provide the specific regulations that stipulate that approval is not needed in this case?

2. Please provide further information on how the participating horses were recruited for this study, and in what context recruitment was taking place.

3. Thank you for including your competing interests statement; "The authors have declared that no competing interests exist."

We note that one or more of the authors are employed by a commercial company:

"Tierklinik Luesche GmbH, Luesche, Germany"

  1. Please provide an amended Funding Statement declaring this commercial affiliation, as well as a statement regarding the Role of Funders in your study. If the funding organization did not play a role in the study design, data collection and analysis, decision to publish, or preparation of the manuscript and only provided financial support in the form of authors' salaries and/or research materials, please review your statements relating to the author contributions, and ensure you have specifically and accurately indicated the role(s) that these authors had in your study. You can update author roles in the Author Contributions section of the online submission form.

Please also include the following statement within your amended Funding Statement.

“The funder provided support in the form of salaries for authors [insert relevant initials], but did not have any additional role in the study design, data collection and analysis, decision to publish, or preparation of the manuscript. The specific roles of these authors are articulated in the ‘author contributions’ section.”

If your commercial affiliation did play a role in your study, please state and explain this role within your updated Funding Statement.

2. Please also provide an updated Competing Interests Statement declaring this commercial affiliation along with any other relevant declarations relating to employment, consultancy, patents, products in development, or marketed products, etc.  

Within your Competing Interests Statement, please confirm that this commercial affiliation does not alter your adherence to all PLOS ONE policies on sharing data and materials by including the following statement: "This does not alter our adherence to  PLOS ONE policies on sharing data and materials.” (as detailed online in our guide for authors http://journals.plos.org/plosone/s/competing-interests) . If this adherence statement is not accurate and  there are restrictions on sharing of data and/or materials, please state these. Please note that we cannot proceed with consideration of your article until this information has been declared.

Please include both an updated Funding Statement and Competing Interests Statement in your cover letter. We will change the online submission form on your behalf.

Please know it is PLOS ONE policy for corresponding authors to declare, on behalf of all authors, all potential competing interests for the purposes of transparency. PLOS defines a competing interest as anything that interferes with, or could reasonably be perceived as interfering with, the full and objective presentation, peer review, editorial decision-making, or publication of research or non-research articles submitted to one of the journals. Competing interests can be financial or non-financial, professional, or personal. Competing interests can arise in relationship to an organization or another person. Please follow this link to our website for more details on competing interests: http://journals.plos.org/plosone/s/competing-interests

Additional Editor Comments (if provided):

Thank you for your submission. Both reviewers have suggested minor revision. Please address these suggestions and submit a revised manuscript.

[Note: HTML markup is below. Please do not edit.]

Reviewers' comments:

Reviewer's Responses to Questions

Comments to the Author

1. Is the manuscript technically sound, and do the data support the conclusions?

The manuscript must describe a technically sound piece of scientific research with data that supports the conclusions. Experiments must have been conducted rigorously, with appropriate controls, replication, and sample sizes. The conclusions must be drawn appropriately based on the data presented.

Reviewer #1: Yes

Reviewer #2: Yes

**********

2. Has the statistical analysis been performed appropriately and rigorously?

Reviewer #1: Yes

Reviewer #2: I Don't Know

**********

3. Have the authors made all data underlying the findings in their manuscript fully available?

The PLOS Data policy requires authors to make all data underlying the findings described in their manuscript fully available without restriction, with rare exception (please refer to the Data Availability Statement in the manuscript PDF file). The data should be provided as part of the manuscript or its supporting information, or deposited to a public repository. For example, in addition to summary statistics, the data points behind means, medians and variance measures should be available. If there are restrictions on publicly sharing data—e.g. participant privacy or use of data from a third party—those must be specified.

Reviewer #1: No

Reviewer #2: Yes

**********

4. Is the manuscript presented in an intelligible fashion and written in standard English?

PLOS ONE does not copyedit accepted manuscripts, so the language in submitted articles must be clear, correct, and unambiguous. Any typographical or grammatical errors should be corrected at revision, so please note any specific errors here.

Reviewer #1: Yes

Reviewer #2: Yes

**********

5. Review Comments to the Author

Please use the space provided to explain your answers to the questions above. You may also include additional comments for the author, including concerns about dual publication, research ethics, or publication ethics. (Please upload your review as an attachment if it exceeds 20,000 characters)

Reviewer #1: This is a well written manuscript using a robust study design and appropriate methods to address the function and ROM of normal pelvic and spinal kinematics in horses during overground locomotion. As this information is not currently available in the literature the study makes a valuable contribution to knowledge and will be an important reference for veterinary researchers and practitioners. I have some minor comments:

Line 87: Although this has been published previously I feel it would be useful to include further details here, as EVJ is not open access and also as your findings have large between subject variation.

Line 173 (table 1): It needs to be clear that these are values offset from the mean for each horse.

Table 1: Clarify what you mean by T12 etc. in the legend.

Line 213-217: Although this is detailed the exact number of horses, surfaces, path and days used in the analysis is not clear. Line 227 says all 12 horses over all 12 repetitions, but if M11 and 12 were missing for 3 horses this does not seem possible. Please clarify.

Line 234: Suggest you remove between, i.e. Between-measurement variation……

Line 237: Why is S4 supplementary? I feel these data should be included in the main body of the paper.

Table 2: Provide a more detailed legend for the table which also clearly states that these are ‘whole body’ measurements.

Line 308: I think the manuscripts lacks (either in the intro or in the discussion or both) a description of ‘normal function’ in a straight line and on the lunge. What is the role of the spine and pelvis in normal trotting?

Line 313: Please expand here.

Line 326-335: I thought these data were normalized in Table 1? If so, this may be just more head movement compared to the mean, but the mean may be overall more to the right? I think you need to include S4 data from absolute values when discussing laterality. Body tracking is not symmetric from absolute values. Looks like more bias of forehand right-pelvis left on left circle, but for the other 3 surfaces/paths the opposite is probably true, but to a lesser extent.

General comment: A discussion of back function in trot compared to walk or canter would be helpful. Is the back supposed to stabilize in trot? Also, body to pelvic motion, was this normalized? If so, how did this affect symmetry/laterality?

Although there is a large amount of graphical data in the manuscript and supplementary information it appears that the authors have not included ‘raw’ data values from which the graphical and statistical analysis were created/analysed. This needs to be made available in line with the policy of the journal.

Reviewer #2: PONE D 19 24742 Review

General comments

The stated aim of this study was to quantify in an objective manner the spinal kinematics and the variation appreciated between different measurement times, different surfaces and different days in “owner-sound” horses. This study uses data collected within a larger project for which some results have already been published relating to variation in gait parameters that are measured during lameness evaluation. The manuscript presented here investigates spinal movement, in particular range of motion along the axial skeleton in the same horses measured using state of the art motion capture technology. Overall, the manuscript is well written and well presented.

There is no clear hypothesis stated regarding the authors expectations regarding outcomes of the study and would be good to add a hypothesis/hypotheses that can be commented on in the discussion.

The material and methods are well described and are clear. Where necessary, the authors have referenced previous studies in which certain analysis techniques have been established which is helpful and results in a relatively concise M&M section for a detailed study. How does calibration residual of 3.2 mm relate to an angle measurement of 1 degree, since findings measured in degrees? Is this acceptable?

Statistical analysis – appears to be robust but I am not a statistician so consultation with one might be useful, particularly the paragraph regarding the mixed models.

The graphs that present the prediction intervals with the different measurements on each day and the different days are a good representation of the overall data sets. The authors have found a useful way of presenting the data so the reader (and researcher) can assess visually the large amount of data collected and processed in this study.

The discussion covers the important points but lacked clear relation of the findings to an overall picture of the evaluation of the equine spine and how the findings not only support/refute previous literature but also how they could influence clinical evaluation of the equine spine. More author input/clear comment is required regarding what the findings mean in the context of subjective and or objective evaluation of the equine spine kinematics.

As the manuscript is reviewed, please make sure it is always clear where the topic is within horse variation and where between horse variation. Mostly this is clear but would be worth a careful recheck.

Specific comments

Line Abstract

37 Use “in conclusion”..

38 Is it only subjective, but also objective examination/interpretation that is difficult?

Introduction

42 Since neck motion is also included, is it back pain or axial skeleton pain?

Would “Back pain resulting in movement dysfunction – or something like that work better here?

“which can” to replace “and it can”

45-46 This sounds like it is the rider that has reluctance to bend.. etc. Reword so clear that it is the horse that is showing the signs the rider appreciates

53- Be clearer false positive or false negative diagnosis of back pain …

54 Should be “a” not “an”

58 Greater than what? greater than the subjectivity of lameness evaluation? Say clearly

Use “more subtle” instead or “much subtler”; and be specific about changes in what? Changes in back movement? Response to palpation? All clinical signs of back pain?

73 Aims are clear. No hypothesis given.

Materials and Methods

91-93 Needs to be clearer here. Fit to compete based on lameness assessment, with fitness to compete defined as….. Basically mimicking the FEI trot-up? Or alter wording to match that of your EVJ publication which is clearer.

100 Consider “on subsequent examinations” rather than following days.

103 To the right and left (rather than either side)

104 Delete “respectively”, as not correctly used here. This isn’t very clear. Would it work to say T-shaped strip extending between the t coxae with the “T” at the t sacrale? Can you include a figure for the marker placement?

115 Does this mean all video cameras synchronised during data collection? If yes, then maybe say this earlier in paragraph when describing cameras.

124 Is this a break from measurement or rest from any riding exercise, competition or turnout?

148 , 322 Suggest “performed” rather than “done”

165 The cervical lateral bending seems to be measuring the angle that exists between the trunk and the cervical region with the head at the farthest extend. Is this really cervical bending, since the angle of bend along the neck is not being calculated. Consider if another term for this measurement might be a more accurate description?

196 Consider adding .day 2 (6-10), and 11-12 on day three. That is how these trials are referred to in previous work, so might be more consistent to maintain that here?

198-200 This sentence regarding the testing of the “speed” variable is confusing. Please clarify.

202 , 336 Sentences should not be started with “because” if avoidable. Would “however” work here?

227 Consider adding except for the excluded data sets as mentioned above? Since only 9 horses for M11 and 12 and 61 trials excluded for too few steps.

Table 2 Prediction interval is useful but should this be in the context of the overall variation for each parameter to provide perspective. i.e., if PI is 1 degree but the mean angle range for the selected ROM parameter is 10 this is different than if the angle range is 5 for the selected parameter. I realise that including the other values might make the table more complicated but consider if this would provide necessary context for the reader.

276 Significantly more compared to? And for which parameters?

276 Not clear to what “this” refers. Please use the subject of the sentence – is it the variation that was higher. This sentence is confusing so please restate to make it clearer.

278 Do you mean that speed did not have a significant effect on the model outcomes?

278-280 Again, please clarify - a tendency to what?

281 Suggest - Head swivel angle – for clarity

282 Again, for clarity add… more variation in head swivel angle… and more than what?

286-288 Please list the segments that did not have reduced variation.

Then, reduced variation was noted with increased repetitions for back segment angles on the hard surface.

296-297 Could you state which highest and lowes

Table 3 Check that column headers are correct. All other tables have Hard Straight first then soft straight, but here you have reversed them. Suggest switching order for consistency. Then also visual inspection of the table clearly shows poorer ICC fo hard straight compared to others just based on the colours seen.

Discussion

310-311 Is this 30-50% of the total ROM range of values? Maybe add as a clarification.

I think your comment here links to my comments on Table 2 in terms of putting the PI’s into context of overall ranges for each variable. That will provide a better chance for the reader to appreciate this comment you are making in the discussion.

Since table 1 has more than 5 parameters listed, would it be worth putting them in bold so that reader can easily return to the table and be clear which parameters are the main ones?

313-315 Movement quality is a poorly defined term… is there another way to say what you mean? Is that related to stride length, foot flight, -- and are there certain characteristics of movement quality that would include certain parameters measured in this study?

Individual patterns of what? Be clearer what you are trying to convey to the reader.

316-319 Much of this is repeating M&M so could you simply say – “our inclusion criteria were designed to be representative of the sport horse population that is likely to undergo evaluation of spinal movement as part of an examination? Or something along those lines which would emphasize your reason for the inclusion criteria?

321 Symmetrical in what – their gait patterns?

326 Throughout discussion.. is repeated mention of figures needed? Consider deleting.

327 ? instead of could be…. Use likely related to (if you think that is really the cause)

331 Or is a consequence…

Can you work into this paragraph how cervical bending would effect back ROM. Would it be expected to affect one parameter more than another (pitch, yaw, roll, etc).. so relate your interpretation to the clinical parameter you are measuring. Do you have a suggestion about how to possibly overcome this variation in your data? Randomise and lead from right 50% of time in next study?

336 Try “Due to” in place of “because”

338 Being used as,,,, or serving as its own control

338-341 Expand on this for clarity… within your study, are the within horse variations smaller than between horse.. State clearly as this is the reason for doing the study… (and this could form one of your hypotheses). Were the within horse differences in the quoted study more of less than the between horses? Tie this study in more clearly to your study and your interpretation.

Does “rather small” mean not significant differences… better to just say that for clarity.

345 Between measurement within horse? Maybe worth specifying.

346 Larger than what?

357-359 Double check this reasoning for signal to noise and ICC?

361 Suggest delete “and” and place “,”

363 Can you draw together your statements for this paragraph and maybe say if you think one surface is better and provides mor consistent clinical data than another? Should evaluation of the spine in motion only be done on a soft surface? And ditto for the next paragraph.

368 -373 Sentence awkward? Revise please to first reflect the message you wan to convey (? Learning of horse, warming up?) then link to previous study, then say why it is important to the interpretation of your data and study design.

374 Could you more clearly link this paragraph’s message to the previous – citing marker placement variation to the differences between days 1 2 and recheck?

388 Not sure “regard” is the best word here. ? include?

389-402 Iimportant information as it relates to repeatability and correlation but can you be more succinct and also be more specific about the relevance. In line 395 – tie together the lameness parameters/ICC to the back and why he differences might be important to clinical interpretation. Similar for the IMU statements.. relate to your study and how the other findings support/refute and their relevance to clinical evaluation.

404 Is “variable way” best? Considerable variation exists in the approach to examination of the equine thoracolumbar /cervical region.

406 Suggested rephrase: Additionally, the human eye may not be capable of appreciating the small variations in normal or asymmetric back movement.

409 What is This here/ the preliminary data, the poor agreement… Are there other examples of poor agreement in observation of lameness that could support this statement

428-430 Confusing sentence as now you talk about recheck before day1 and 2. Can you turn sentence around? Should your statistical analysis have accounted for the lost trials? If so, then maybe don’t need to include here.

438 Remove the brackets and rephrase.. The optical motion capture method….

441 Suggest delete “forward”

**********

6. PLOS authors have the option to publish the peer review history of their article (what does this mean?). If published, this will include your full peer review and any attached files.

If you choose “no”, your identity will remain anonymous but your review may still be made public.

Do you want your identity to be public for this peer review? For information about this choice, including consent withdrawal, please see our Privacy Policy.

Reviewer #1: Yes: Dr Sarah Jane Hobbs

Reviewer #2: Yes: Ellen Singer

[NOTE: If reviewer comments were submitted as an attachment file, they will be attached to this email and accessible via the submission site. Please log into your account, locate the manuscript record, and check for the action link "View Attachments". If this link does not appear, there are no attachment files to be viewed.]

While revising your submission, please upload your figure files to the Preflight Analysis and Conversion Engine (PACE) digital diagnostic tool, https://pacev2.apexcovantage.com/. PACE helps ensure that figures meet PLOS requirements. To use PACE, you must first register as a user. Registration is free. Then, login and navigate to the UPLOAD tab, where you will find detailed instructions on how to use the tool. If you encounter any issues or have any questions when using PACE, please email us at figures@plos.org. Please note that Supporting Information files do not need this step.

PLoS One. 2020 Feb 25;15(2):e0222822. doi: 10.1371/journal.pone.0222822.r002

Author response to Decision Letter 0


27 Dec 2019

PONE-D-19-24742

Range of motion and between-measurement variation of spinal kinematics in sound horses at trot on the straight line and on the lunge.

PLOS ONE

Dear Mrs. Hardeman,

Thank you for submitting your manuscript to PLOS ONE. After careful consideration, we feel that it has merit but does not fully meet PLOS ONE’s publication criteria as it currently stands. Therefore, we invite you to submit a revised version of the manuscript that addresses the points raised during the review process.

We would appreciate receiving your revised manuscript by Dec 27 2019 11:59PM. When you are ready to submit your revision, log on to https://www.editorialmanager.com/pone/ and select the 'Submissions Needing Revision' folder to locate your manuscript file.

If you would like to make changes to your financial disclosure, please include your updated statement in your cover letter.

To enhance the reproducibility of your results, we recommend that if applicable you deposit your laboratory protocols in protocols.io, where a protocol can be assigned its own identifier (DOI) such that it can be cited independently in the future. For instructions see: http://journals.plos.org/plosone/s/submission-guidelines#loc-laboratory-protocols

Please include the following items when submitting your revised manuscript:

• A rebuttal letter that responds to each point raised by the academic editor and reviewer(s). This letter should be uploaded as separate file and labeled 'Response to Reviewers'.

• A marked-up copy of your manuscript that highlights changes made to the original version. This file should be uploaded as separate file and labeled 'Revised Manuscript with Track Changes'.

• An unmarked version of your revised paper without tracked changes. This file should be uploaded as separate file and labeled 'Manuscript'.

Please note while forming your response, if your article is accepted, you may have the opportunity to make the peer review history publicly available. The record will include editor decision letters (with reviews) and your responses to reviewer comments. If eligible, we will contact you to opt in or out.

We look forward to receiving your revised manuscript.

Kind regards,

Chris Rogers

Academic Editor

PLOS ONE

Journal Requirements:

When submitting your revision, we need you to address these additional requirements.

Please ensure that your manuscript meets PLOS ONE's style requirements, including those for file naming. The PLOS ONE style templates can be found at

http://www.journals.plos.org/plosone/s/file?id=wjVg/PLOSOne_formatting_sample_main_body.pdf and http://www.journals.plos.org/plosone/s/file?id=ba62/PLOSOne_formatting_sample_title_authors_affiliations.pdf

1. Thank you for providing your Ethics statement to state that approval was not needed in this case. We would usually expect approval if the research involves manipulation for the specific purpose of the study. In this case, the manipulation is not routine, so we would typically expect approval. Can you please provide the specific regulations that stipulate that approval is not needed in this case?

Answer: Under the current legislation on animal experimentation in The Netherlands (“Wet op de Dierproeven” or Act on Animal Experimentation that dates from 1977, but has been changed various times after that) the definition of animal experiments has changed and does not include anymore all manipulations of animals within an experimental setting, but only those causing discomfort above a certain level. The text (Paragraph 1, article 1) stipulates the following as definition of an animal experiment:

Procedure: any use, invasive or non-invasive, of an animal for experimental or other scientific purposes, with known or unknown outcome, or educational purposes, which may cause the animal a level of pain, suffering, distress or lasting harm equivalent to, or higher than, that caused by the introduction of a needle in accordance with good veterinary practice.

This means that procedures causing less discomfort than stated above are not regarded as an experimental procedure on animals. In practice, this means that in case we suppose we are doing experiments we think might fall under this rule (and hence do not need permission), as was the case in the study reported in this paper, we contact our legal adviser on animal experiments and ask him the question. If he confirms our idea, we do evidently not ask permission. Of course, we still need to ask for owner’s consent, which was done.

2. Please provide further information on how the participating horses were recruited for this study, and in what context recruitment was taking place.

Answer: These horses were all owned by veterinarians or technicians from our clinic. They all participated on voluntary basis.

3. Thank you for including your competing interests statement; "The authors have declared that no competing interests exist."

We note that one or more of the authors are employed by a commercial company:

"Tierklinik Luesche GmbH, Luesche, Germany"

1. Please provide an amended Funding Statement declaring this commercial affiliation, as well as a statement regarding the Role of Funders in your study. If the funding organization did not play a role in the study design, data collection and analysis, decision to publish, or preparation of the manuscript and only provided financial support in the form of authors' salaries and/or research materials, please review your statements relating to the author contributions, and ensure you have specifically and accurately indicated the role(s) that these authors had in your study. You can update author roles in the Author Contributions section of the online submission form.

Answer: Data collection took place at ‘Tierklinik Lüsche GmbH, Germany’. The first and fourth author of this paper are clinicians working at this clinic, also doing research, which implicates they did play a role in the study design, data collection and analysis, the decision to publish the results and the preparation of the manuscript but without conflicting and/or commercial interests.

Please also include the following statement within your amended Funding Statement.

Answer: “The funder provided support in the form of salaries for authors [JH (fourth author), AH (first author)], but did not have any additional role in the study design, data collection and analysis, decision to publish, or preparation of the manuscript that could lead to conflicting situations. The specific roles of these authors are articulated in the ‘author contributions’ section.”

If your commercial affiliation did play a role in your study, please state and explain this role within your updated Funding Statement.

2. Please also provide an updated Competing Interests Statement declaring this commercial affiliation along with any other relevant declarations relating to employment, consultancy, patents, products in development, or marketed products, etc.

Answer: There is no Competing Interest from ‘Tierklinik Lüsche GmbH’ in this study design, study results or decision of publication, neither with related employment, consultancy, patents, products in development or marketed products.

Within your Competing Interests Statement, please confirm that this commercial affiliation does not alter your adherence to all PLOS ONE policies on sharing data and materials by including the following statement: "This does not alter our adherence to PLOS ONE policies on sharing data and materials.” (as detailed online in our guide for authors http://journals.plos.org/plosone/s/competing-interests) . If this adherence statement is not accurate and there are restrictions on sharing of data and/or materials, please state these. Please note that we cannot proceed with consideration of your article until this information has been declared.

Answer: ‘Tierklinik Lüsche GmbH’ does not alter our adherence to PLOS ONE policies on sharing data and materials.

Please include both an updated Funding Statement and Competing Interests Statement in your cover letter. We will change the online submission form on your behalf.

Please know it is PLOS ONE policy for corresponding authors to declare, on behalf of all authors, all potential competing interests for the purposes of transparency. PLOS defines a competing interest as anything that interferes with, or could reasonably be perceived as interfering with, the full and objective presentation, peer review, editorial decision-making, or publication of research or non-research articles submitted to one of the journals. Competing interests can be financial or non-financial, professional, or personal. Competing interests can arise in relationship to an organization or another person. Please follow this link to our website for more details on competing interests: http://journals.plos.org/plosone/s/competing-interests

Additional Editor Comments (if provided):

Thank you for your submission. Both reviewers have suggested minor revision. Please address these suggestions and submit a revised manuscript.

[Note: HTML markup is below. Please do not edit.]

Reviewers' comments:

Reviewer's Responses to Questions

Comments to the Author

1. Is the manuscript technically sound, and do the data support the conclusions?

The manuscript must describe a technically sound piece of scientific research with data that supports the conclusions. Experiments must have been conducted rigorously, with appropriate controls, replication, and sample sizes. The conclusions must be drawn appropriately based on the data presented.

Reviewer #1: Yes

Reviewer #2: Yes

________________________________________

2. Has the statistical analysis been performed appropriately and rigorously?

Reviewer #1: Yes

Reviewer #2: I Don't Know

________________________________________

3. Have the authors made all data underlying the findings in their manuscript fully available?

The PLOS Data policy requires authors to make all data underlying the findings described in their manuscript fully available without restriction, with rare exception (please refer to the Data Availability Statement in the manuscript PDF file). The data should be provided as part of the manuscript or its supporting information, or deposited to a public repository. For example, in addition to summary statistics, the data points behind means, medians and variance measures should be available. If there are restrictions on publicly sharing data—e.g. participant privacy or use of data from a third party—those must be specified.

Reviewer #1: No

Reviewer #2: Yes

________________________________________

4. Is the manuscript presented in an intelligible fashion and written in standard English?

PLOS ONE does not copyedit accepted manuscripts, so the language in submitted articles must be clear, correct, and unambiguous. Any typographical or grammatical errors should be corrected at revision, so please note any specific errors here.

Reviewer #1: Yes

Reviewer #2: Yes

________________________________________

5. Review Comments to the Author

Please use the space provided to explain your answers to the questions above. You may also include additional comments for the author, including concerns about dual publication, research ethics, or publication ethics. (Please upload your review as an attachment if it exceeds 20,000 characters)

Reviewer #1: This is a well written manuscript using a robust study design and appropriate methods to address the function and ROM of normal pelvic and spinal kinematics in horses during overground locomotion. As this information is not currently available in the literature the study makes a valuable contribution to knowledge and will be an important reference for veterinary researchers and practitioners. I have some minor comments:

Line 87: Although this has been published previously I feel it would be useful to include further details here, as EVJ is not open access and also as your findings have large between subject variation.

Answer: The information is now added to the manuscript (line 87-96).

Line 173 (table 1): It needs to be clear that these are values offset from the mean for each horse.

Answer: these data are ROM values, using the measurement mean values.

Body tracking and head swivel are the only variables where symmetry can be assessed in Table 1, but these variables must be interpreted with some care in individual horses because of possible asymmetry in marker placement.

It was added in the legend and in the text to clarify.

Table 1: Clarify what you mean by T12 etc. in the legend.

Answer: This was added to the legend.

Line 213-217: Although this is detailed the exact number of horses, surfaces, path and days used in the analysis is not clear. Line 227 says all 12 horses over all 12 repetitions, but if M11 and 12 were missing for 3 horses this does not seem possible. Please clarify.

Answer: Thanks for noticing, this is indeed not correct in line 227. We changed it to ‘available’ repetitions, as described in detail in line 213-217.

Line 234: Suggest you remove between, i.e. Between-measurement variation……

Answer: This was removed.

Line 237: Why is S4 supplementary? I feel these data should be included in the main body of the paper.

Answer: We moved S4 to the main document as you suggested and left S5 in the Supplementary Material.

Table 2: Provide a more detailed legend for the table which also clearly states that these are ‘whole body’ measurements.

Answer: The legend was revised with clear, detailed information about the calculations.

Line 308: I think the manuscripts lacks (either in the intro or in the discussion or both) a description of ‘normal function’ in a straight line and on the lunge. What is the role of the spine and pelvis in normal trotting?

Answer: A description of normal back function and the role of the spine was added in the introduction.

Line 313: Please expand here.

Answer: Sorry, but we don’t understand this comment. Please explain if the comment still applies.

Line 326-335: I thought these data were normalized in Table 1? If so, this may be just more head movement compared to the mean, but the mean may be overall more to the right? I think you need to include S4 data from absolute values when discussing laterality. Body tracking is not symmetric from absolute values. Looks like more bias of forehand right-pelvis left on left circle, but for the other 3 surfaces/paths the opposite is probably true, but to a lesser extent.

Answer: Answer: these data are ROM values, using the measurement mean values.. It was added in the legend and in the text to clarify.

Only for body tracking and head swivel, the direction is given as either plus or minus. For body tracking, a positive value indicates tracking of the forehand to the right and the hind quarters to left. For head swivel, a positive value indicates cervical bending to the right. (line 195-197).

S4 is included in the main document now.

General comment: A discussion of back function in trot compared to walk or canter would be helpful. Is the back supposed to stabilize in trot? Also, body to pelvic motion, was this normalized? If so, how did this affect symmetry/laterality?

Answer: A description on back function was added to the introduction as you suggested. Ranges of motion are not affected by offset adjustment. Body tracking and head swivel are the only variables where symmetry can be assessed in Table 1, but these variables must be interpreted with some care in individual horses because of possible asymmetries in marker placement.

Although there is a large amount of graphical data in the manuscript and supplementary information it appears that the authors have not included ‘raw’ data values from which the graphical and statistical analysis were created/analysed. This needs to be made available in line with the policy of the journal.

Answer: We added all the data used in the analysis and for graphics in the Supplementary Material. We referred to this at the beginning of the results section.

Reviewer #2: PONE D 19 24742 Review

General comments

The stated aim of this study was to quantify in an objective manner the spinal kinematics and the variation appreciated between different measurement times, different surfaces and different days in “owner-sound” horses. This study uses data collected within a larger project for which some results have already been published relating to variation in gait parameters that are measured during lameness evaluation. The manuscript presented here investigates spinal movement, in particular range of motion along the axial skeleton in the same horses measured using state of the art motion capture technology. Overall, the manuscript is well written and well presented.

There is no clear hypothesis stated regarding the authors expectations regarding outcomes of the study and would be good to add a hypothesis/hypotheses that can be commented on in the discussion.

Answer: The hypothesis has been added at the end of the introduction.

The material and methods are well described and are clear. Where necessary, the authors have referenced previous studies in which certain analysis techniques have been established which is helpful and results in a relatively concise M&M section for a detailed study.

How does calibration residual of 3.2 mm relate to an angle measurement of 1 degree, since findings measured in degrees? Is this acceptable?

Answer: 3.2 mm corresponds to 1.2 degrees for a segment of the length 0.15 m (relevant for segments) and 0.4 degrees for a segment of the length 0.5 m (relevant for all other variables). For the segments this is a rather large error, but this is for any given frame and when doing a mean value over several strides the effect is reduced because measurement error is randomly distributed. The calibration residual (3.2 mm) is within the range that you will typically get with an optical motion capture system.

Still, the residual does not per say represents an estimation error of 3.2 mm. This is simply an average ‘residual’ after interpolation of the position of the marker, when several cameras track the same marker. This inaccuracy is also further improved by filtering, a crucial step when processing motion capture data.

We do agree that the segments are thereby less repeatable, which we also discussed in the paper. However, we have clarified what we meant by the signal to noise ratio.

Statistical analysis – appears to be robust but I am not a statistician so consultation with one might be useful, particularly the paragraph regarding the mixed models.

The graphs that present the prediction intervals with the different measurements on each day and the different days are a good representation of the overall data sets. The authors have found a useful way of presenting the data so the reader (and researcher) can assess visually the large amount of data collected and processed in this study.

The discussion covers the important points but lacked clear relation of the findings to an overall picture of the evaluation of the equine spine and how the findings not only support/refute previous literature but also how they could influence clinical evaluation of the equine spine. More author input/clear comment is required regarding what the findings mean in the context of subjective and or objective evaluation of the equine spine kinematics.

Answer: Multiple small changes have been made throughout the discussion, also based on the other reviewer’s comments. We hope that this is satisfactory.

As the manuscript is reviewed, please make sure it is always clear where the topic is within horse variation and where between horse variation. Mostly this is clear but would be worth a careful recheck.

Answer: This has been checked through the manuscript and we have made the distinction clearer in a few places where this was indeed necessary.

Specific comments

Line Abstract

37 Use “in conclusion”..

Answer: This has been changed.

38 Is it only subjective, but also objective examination/interpretation that is difficult?

Answer: Both are difficult in our opinion, as addressed in the discussion. We changed it in line 38 as well as this is indeed an important, clinically relevant, conclusion.

Introduction

42 Since neck motion is also included, is it back pain or axial skeleton pain?

Would “Back pain resulting in movement dysfunction – or something like that work better here?

“which can” to replace “and it can”

Answer: Neck motion is indeed included in our study, but not in the studies referred to in here. Therefore, we would like to keep it as back pain.

‘and it can’ is replaced by ‘which can’.

45-46 This sounds like it is the rider that has reluctance to bend.. etc. Reword so clear that it is the horse that is showing the signs the rider appreciates

Answer: This is indeed a bit confusing. We changed this according to your request.

53- Be clearer false positive or false negative diagnosis of back pain …

Answer: this was changed to false positive, based on the study referred to (11).

54 Should be “a” not “an”

Answer: Changed accordingly.

58 Greater than what? greater than the subjectivity of lameness evaluation? Say clearly

Answer: This was changed accordingly.

Use “more subtle” instead or “much subtler”; and be specific about changes in what? Changes in back movement? Response to palpation? All clinical signs of back pain?

Answer: This was corrected and specified in ‘changes in ROM’.

73 Aims are clear. No hypothesis given.

Answer: The hypothesis has been added directly after the aims of the study.

Materials and Methods

91-93 Needs to be clearer here. Fit to compete based on lameness assessment, with fitness to compete defined as….. Basically mimicking the FEI trot-up? Or alter wording to match that of your EVJ publication which is clearer.

Answer: It is indeed mimicking the FEI trot-up. Words were changed to ‘sound or close to sound’ as used in the EVJ publication. We kept in the term ‘fit to compete’ to make it clearer for the readers (i.e. clinicians).

100 Consider “on subsequent examinations” rather than following days.

Answer: we would like to keep it like this as it should be clear that markers were not removed between all subsequent examinations, but only between the days.

103 To the right and left (rather than either side)

Answer: This was changed accordingly.

104 Delete “respectively”, as not correctly used here. This isn’t very clear. Would it work to say T-shaped strip extending between the t coxae with the “T” at the t sacrale? Can you include a figure for the marker placement?

Answer: This was changed accordingly. We will include a figure as we did in the EVJ publication to visualize marker placement.

115 Does this mean all video cameras synchronised during data collection? If yes, then maybe say this earlier in paragraph when describing cameras.

Answer: This is only about the (single) videocamera, not about the infrared cameras. We rephrased to make this clear.

124 Is this a break from measurement or rest from any riding exercise, competition or turnout?

Answer: This was a break from the measurement. The text was changed accordingly to make it clearer.

148 , 322 Suggest “performed” rather than “done”

Answer: This was changed as you suggested.

165 The cervical lateral bending seems to be measuring the angle that exists between the trunk and the cervical region with the head at the farthest extend. Is this really cervical bending, since the angle of bend along the neck is not being calculated. Consider if another term for this measurement might be a more accurate description?

Answer: This is correct. We have changed it to ‘approximating cervical bending’.

196 Consider adding .day 2 (6-10), and 11-12 on day three. That is how these trials are referred to in previous work, so might be more consistent to maintain that here?

Answer: we changed it as you suggested.

198-200 This sentence regarding the testing of the “speed” variable is confusing. Please clarify.

Answer: We agree on your comment. We have rephrased the sentence to make it clearer.

202 , 336 Sentences should not be started with “because” if avoidable. Would “however” work here?

Answer: It was changed to ‘as’, which suits better in our opinion than ‘however’.

227 Consider adding except for the excluded data sets as mentioned above? Since only 9 horses for M11 and 12 and 61 trials excluded for too few steps.

Answer: This was changed as you suggested.

Table 2 Prediction interval is useful but should this be in the context of the overall variation for each parameter to provide perspective. i.e., if PI is 1 degree but the mean angle range for the selected ROM parameter is 10 this is different than if the angle range is 5 for the selected parameter. I realise that including the other values might make the table more complicated but consider if this would provide necessary context for the reader.

Answer: We like your comment and agree that this is a very useful addition. We added within brackets after each PI the percentage of the stride ROM (out of Table 1).

276 Significantly more compared to? And for which parameters?

Answer: From the model, horses show more variation on the hard straight line compared to the soft straight line, as is this the path where everything is compared to. In line 286, it is said that this is about the five main parameters (Figs 2-6).

276 Not clear to what “this” refers. Please use the subject of the sentence – is it the variation that was higher. This sentence is confusing so please restate to make it clearer.

Answer: ‘This’ refers to significantly more variation at the recheck. It was changed as you suggested.

278 Do you mean that speed did not have a significant effect on the model outcomes?

Answer: Yes, that is true. We rephrased the sentence to make this clearer.

278-280 Again, please clarify - a tendency to what?

Answer: A tendency of speed to have an effect on the model outcomes (p=0.08). This was changed in the text.

281 Suggest - Head swivel angle – for clarity

Answer: This was changed as you suggested.

282 Again, for clarity add… more variation in head swivel angle… and more than what?

Answer: This was added. Also, ‘compared to day one and day two’ was added.

286-288 Please list the segments that did not have reduced variation.

Answer: The segments that did not have reduced variation were: T12 flexion-extension, T12 lateral bending, T18 flexion-extension, L3 flexion-extension, L5 lateral bending and tuber sacrale lateral bending. This was added to the text.

296-297 Could you state which highest and lowes

Answer: this was added to the legend.

Table 3 Check that column headers are correct. All other tables have Hard Straight first then soft straight, but here you have reversed them. Suggest switching order for consistency. Then also visual inspection of the table clearly shows poorer ICC fo hard straight compared to others just based on the colors seen.

Answer: We switched hard and soft straight for consistency as you suggested. Indeed, ICCs are overall lower on the hard straight line. This is mentioned in the text, visualised in the color scaling and illustrated by the lower overall ICC at the end of the column.

Discussion

310-311 Is this 30-50% of the total ROM range of values? Maybe add as a clarification.

Answer: Yes, that is correct. This was added to the text.

I think your comment here links to my comments on Table 2 in terms of putting the PI’s into context of overall ranges for each variable. That will provide a better chance for the reader to appreciate this comment you are making in the discussion.

Answer: This was changed according to your comment above.

Since table 1 has more than 5 parameters listed, would it be worth putting them in bold so that reader can easily return to the table and be clear which parameters are the main ones?

Answer: That makes it indeed much easier to identify the main parameters. This was changed.

313-315 Movement quality is a poorly defined term… is there another way to say what you mean? Is that related to stride length, foot flight, -- and are there certain characteristics of movement quality that would include certain parameters measured in this study?

Answer: This is indeed poorly defined but this terminology was taken from the paper which we refer to; movement quality, as judged at official performance tests. This was added to the text, including some of the objective parameters that were found to be significantly different between the two groups.

For this study, we can only hypothesize on what parameters would perhaps correlate to the subjectively judged ‘movement quality’ of the back. Possibly movement symmetry and, related to today’s the dressage horses nowadays, a high degree of flexion-extension (especially in the lumbosacral junction) and lateral bending and still a longer stride duration, as found in the research referred to. This would be a nice theme for further research.

Individual patterns of what? Be clearer what you are trying to convey to the reader.

Answer: This is indeed not clear in the text. It was corrected.

316-319 Much of this is repeating M&M so could you simply say – “our inclusion criteria were designed to be representative of the sport horse population that is likely to undergo evaluation of spinal movement as part of an examination? Or something along those lines which would emphasize your reason for the inclusion criteria?

Answer: We shortened the description as there was indeed some repetition. We did not want to change to a population as presented to the clinic for the evaluation of spinal movement as that was not the selection criterium for our study population.

321 Symmetrical in what – their gait patterns?

Answer: Exactly. This was added to the text.

326 Throughout discussion.. is repeated mention of figures needed? Consider deleting.

Answer: We appreciate your comment. We have considered this but feel that repeated mentioning of the figures doesn’t disturb and may be helpful for the reader.

327 ? instead of could be…. Use likely related to (if you think that is really the cause)

Answer: We think it is only to some extent related to handling from the left as the same effect is still seen on the lunge. This was corrected in the text.

331 Or is a consequence…

Can you work into this paragraph how cervical bending would effect back ROM. Would it be expected to affect one parameter more than another (pitch, yaw, roll, etc).. so relate your interpretation to the clinical parameter you are measuring.

Answer: This was changed to ‘consequence of’. The correlation between variables is outside the scope of this paper. We have added that further research is needed, but this sentence is in a different section (Discussion, line 402).

Do you have a suggestion about how to possibly overcome this variation in your data? Randomise and lead from right 50% of time in next study?

Answer: We did a pilot in handling the horses from the right, which made us decide not to use this in our study because the horses were completely confused by it, also after multiple trot-ups. Furthermore, it does not mimic the clinical situation. Randomisation is indeed a useful possibility for further research, although we doubt whether it would make a difference in this study design as left and right circle were always performed directly after each other, with only the time to turn in between.

336 Try “Due to” in place of “because”

Answer: This was corrected as you suggested.

338 Being used as,,,, or serving as its own control

Answer: This was corrected as you suggested.

338-341 Expand on this for clarity… within your study, are the within horse variations smaller than between horse.. State clearly as this is the reason for doing the study… (and this could form one of your hypotheses).

Answer: The text was expanded so hopefully it now clearly states these findings.

Were the within horse differences in the quoted study more of less than the between horses? Tie this study in more clearly to your study and your interpretation.

Answer: The study of Wennerstrand et al. does not compare within versus between horse differences, neither did the study of Gomez Alvarez et al., comparing horses before and after chiropractic manipulation.

Does “rather small” mean not significant differences… better to just say that for clarity.

Answer: This were significant differences in the study of Wennerstrand et al. The differences are rather small in relation to our prediction intervals of normal variation of the same spinal locations. This was added in the text.

345 Between measurement within horse? Maybe worth specifying.

Answer: This between-measurement variation is calculated over the whole group as the variation that can be expected when doing repeated measurements within and over multiple days of the same horse. For this reason, it would not be correct to specify as ‘within horse’ as the variation was calculated over the whole group.

346 Larger than what?

Answer: larger than the value found in the cited study as clarified in the sentence before.

357-359 Double check this reasoning for signal to noise and ICC?

Answer: We have tried to express clearer in this sentence what we mean.

361 Suggest delete “and” and place “,”

Answer: This was changed as you suggested.

363 Can you draw together your statements for this paragraph and maybe say if you think one surface is better and provides mor consistent clinical data than another? Should evaluation of the spine in motion only be done on a soft surface?

Answer: A short resume at the end of the paragraph was added. We don’t think assessment should only be done on soft surface, but due to the higher ROM it is possibly a more suitable surface than a hard surface.

And ditto for the next paragraph.

Answer: Forthis paragraph also a short resume was added.

368 -373 Sentence awkward? Revise please to first reflect the message you wan to convey (? Learning of horse, warming up?) then link to previous study, then say why it is important to the interpretation of your data and study design.

Answer: This sentence was corrected and the importance of the interpretation of our data for the clinical situation was added.

374 Could you more clearly link this paragraph’s message to the previous – citing marker placement variation to the differences between days 1 2 and recheck?

Answer: We don’t exactly understand your comment as this is discussed a bit further on in the manuscript. We are happy to make more changes if you still feel that this is needed.

388 Not sure “regard” is the best word here. ? include?

Answer: ‘Regard’ was replaced by ‘include’.

389-402 Iimportant information as it relates to repeatability and correlation but can you be more succinct and also be more specific about the relevance. In line 395 – tie together the lameness parameters/ICC to the back and why he differences might be important to clinical interpretation. Similar for the IMU statements.. relate to your study and how the other findings support/refute and their relevance to clinical evaluation.

Answer: A resuming sentence was added to highlight the clinical implication of the results found.

404 Is “variable way” best? Considerable variation exists in the approach to examination of the equine thoracolumbar /cervical region.

Answer: This is indeed a better way of phrasing. It was changed according to your suggestion.

406 Suggested rephrase: Additionally, the human eye may not be capable of appreciating the small variations in normal or asymmetric back movement.

Answer: The sentence was rephrased in line with your suggestion.

409 What is This here/ the preliminary data, the poor agreement… Are there other examples of poor agreement in observation of lameness that could support this statement

Answer: The preliminary data show poor agreement. The sentence was optimized to make this clearer. Unfortunately, there are, as far as we know, no studies done on the subjective agreement of clinicians on spinal motion in horses.

428-430 Confusing sentence as now you talk about recheck before day1 and 2. Can you turn sentence around? Should your statistical analysis have accounted for the lost trials? If so, then maybe don’t need to include here.

Answer: The sentence was corrected to clarify. The sentence about the lost trials was deleted.

438 Remove the brackets and rephrase.. The optical motion capture method….

Answer: This was corrected as you suggested.

441 Suggest delete “forward”

Answer: This was deleted as you suggested.

________________________________________

6. PLOS authors have the option to publish the peer review history of their article (what does this mean?). If published, this will include your full peer review and any attached files.

If you choose “no”, your identity will remain anonymous but your review may still be made public.

Do you want your identity to be public for this peer review? For information about this choice, including consent withdrawal, please see our Privacy Policy.

Reviewer #1: Yes: Dr Sarah Jane Hobbs

Reviewer #2: Yes: Ellen Singer

[NOTE: If reviewer comments were submitted as an attachment file, they will be attached to this email and accessible via the submission site. Please log into your account, locate the manuscript record, and check for the action link "View Attachments". If this link does not appear, there are no attachment files to be viewed.]

While revising your submission, please upload your figure files to the Preflight Analysis and Conversion Engine (PACE) digital diagnostic tool, https://pacev2.apexcovantage.com/. PACE helps ensure that figures meet PLOS requirements. To use PACE, you must first register as a user. Registration is free. Then, login and navigate to the UPLOAD tab, where you will find detailed instructions on how to use the tool. If you encounter any issues or have any questions when using PACE, please email us at figures@plos.org. Please note that Supporting Information files do not need this step.

Attachment

Submitted filename: Response to Reviewers.docx

Decision Letter 1

Chris Rogers

29 Jan 2020

Range of motion and between-measurement variation of spinal kinematics in sound horses at trot on the straight line and on the lunge.

PONE-D-19-24742R1

Dear Dr. Hardeman,

We are pleased to inform you that your manuscript has been judged scientifically suitable for publication and will be formally accepted for publication once it complies with all outstanding technical requirements.

Within one week, you will receive an e-mail containing information on the amendments required prior to publication. When all required modifications have been addressed, you will receive a formal acceptance letter and your manuscript will proceed to our production department and be scheduled for publication.

Shortly after the formal acceptance letter is sent, an invoice for payment will follow. To ensure an efficient production and billing process, please log into Editorial Manager at https://www.editorialmanager.com/pone/, click the "Update My Information" link at the top of the page, and update your user information. If you have any billing related questions, please contact our Author Billing department directly at authorbilling@plos.org.

If your institution or institutions have a press office, please notify them about your upcoming paper to enable them to help maximize its impact. If they will be preparing press materials for this manuscript, you must inform our press team as soon as possible and no later than 48 hours after receiving the formal acceptance. Your manuscript will remain under strict press embargo until 2 pm Eastern Time on the date of publication. For more information, please contact onepress@plos.org.

With kind regards,

Chris Rogers

Academic Editor

PLOS ONE

Additional Editor Comments (optional):

Thank you for the revised manuscript. You have adequately addressed the comments by the reviewers.

Reviewers' comments:

Acceptance letter

Chris Rogers

13 Feb 2020

PONE-D-19-24742R1

Range of motion and between-measurement variation of spinal kinematics in sound horses at trot on the straight line and on the lunge.

Dear Dr. Hardeman:

I am pleased to inform you that your manuscript has been deemed suitable for publication in PLOS ONE. Congratulations! Your manuscript is now with our production department.

If your institution or institutions have a press office, please notify them about your upcoming paper at this point, to enable them to help maximize its impact. If they will be preparing press materials for this manuscript, please inform our press team within the next 48 hours. Your manuscript will remain under strict press embargo until 2 pm Eastern Time on the date of publication. For more information please contact onepress@plos.org.

For any other questions or concerns, please email plosone@plos.org.

Thank you for submitting your work to PLOS ONE.

With kind regards,

PLOS ONE Editorial Office Staff

on behalf of

Dr. Chris Rogers

Academic Editor

PLOS ONE

Associated Data

    This section collects any data citations, data availability statements, or supplementary materials included in this article.

    Supplementary Materials

    S1 Fig. Between-measurement variation (offset adjusted data) for ‘Whole Back Flexion-extension’, ‘Whole Back Lateral bending’, ‘Pelvis roll’, ‘Pelvis pitch’, ‘Pelvis yaw’, ‘Speed’, ‘Head swivel’ and ‘Body tracking’.

    These data enable the evaluation of the amount and differences in variation.

    (DOCX)

    S1 Table. Time schedule of all measurements (M1-M12).

    *Horses were measured at different timepoints during the recheck (M11). ** M12 was done 5 minutes after M11.

    (DOCX)

    S2 Table. Between-measurement variation of the back segments in degrees, given as the (absolute) prediction interval, per condition and per parameter.

    Calculated arithmetic means of the predictions are shown in the last column.

    (DOCX)

    S3 Table. Model estimates ‘Variability Model’, testing the effect of time, surface and path.

    Intercept = referenced level (day one, straight line, soft surface). Significance codes: 0 − < 0.001 ‘***’ 0.001 − < 0.01 ‘**’ 0.01 − < 0.05 ‘*’ 0.05 − < 0.1 ‘’.

    (DOCX)

    S4 Table. Raw data as used for the graphical and statistical analysis.

    (XLSX)

    Attachment

    Submitted filename: Response to Reviewers.docx

    Data Availability Statement

    All relevant data are within the manuscript and its Supporting Information files.


    Articles from PLoS ONE are provided here courtesy of PLOS

    RESOURCES