Cited by 1Evacuation and Crowd DynamicsBalance, Gait, and Falls PreventionStructural Engineering and Vibration Analysis

The DOI matches its Crossref record; 30 of the 30 references it cites were found in a registry or an index; none of the 18 sources its claims cite is checked for support yet.

Impacts of water depth on pedestrian speed, gait, and stability: results from an experimental study

Open access
Li, Xintong, Song, Weiguo, Zhang, Jun, Bode, Nikolai W.F.·2026·Acta Polytechnica CTU Proceedings

Abstract

Under rapid socio-economic development and increasingly frequent extreme weather events, flood disasters have led to growing losses and casualties, highlighting the importance of understanding pedestrian dynamics in flooded environments. This study conducted controlled movement experiments involving 188 participants across four water depths (0, 0.35, 0.60, and 0.90 m) to investigate the effects of water depth on walking behavior. Results show that water depth significantly influences pedestrian speed and gait characteristics. When depth increased from 0m to 0.35 m, pedestrian speed decreased by 38.6% for males and 44.8 % for females, lateral swaying amplitude increased by 69 % and 133.3 %, and step length shortened by 37.0 % and 32.0 %, respectively. Further increases in depth resulted in progressively smaller changes. Water also exacerbated gender differences in walking speed, while disparities in stride frequency, step length, and swaying amplitude were most pronounced under dry conditions. At depths up to 0.90 m, the coefficients of variation for step length and stride frequency increased, indicating diminished gait stability. These findings clarify how water depth affects pedestrian movement and stability, reveal gender-specific behavioral responses, and provide essential empirical data to improve flood evacuation modeling and enhance pedestrian safety during flood events.

Overview

AI snapshot

Written from the paper’s full text.

TL;DR

In controlled experiments with 188 participants at four water depths (0, 0.35, 0.60, and 0.90 m), increasing water depth sharply reduced walking speed and step length and increased lateral sway, with the largest changes between 0 and 0.35 m. Gender differences in speed emerged in water, and gait variability rose at 0.90 m.

Key findings

  • Speed fell significantly from 0 to 0.35 m: average male speed decreased by 0.66 m s⁻¹ (38.6%) and average female speed by 0.74 m s⁻¹ (44.8%); further depth increases produced diminishing reductions. Kruskal-Wallis testing showed significant speed differences across gender–water depth groups (χ² = 308.95, DF = 7, p < 0.001), with no significant gender difference at 0 m (p = 1) but significant differences at all flooded depths (p < 0.001).
  • Lateral swaying amplitude increased from 0 to 0.35 m by 69% for males and 133.3% for females; sway was highest at 0.35 m and 0.60 m and lower at 0.90 m. Water depth significantly affected sway amplitude (χ² = 293.86, DF = 3, p < 0.0001), and no significant linear correlation between velocity and sway amplitude was found except weak correlations at 0 m (Spearman Corr. = −0.12, p = 0.01) and 0.90 m (Spearman Corr. = 0.1, p = 0.002).
  • Stride frequency remained around 1 Hz across all depths, while step length decreased significantly: average step lengths at 0 m were 0.75 m for females and 0.81 m for males, falling to 0.51 m, 0.48 m, and 0.46 m at 0.35 m, 0.60 m, and 0.90 m, respectively. Water depth significantly affected step length (χ² = 306.0, DF = 3, p < 0.0001) and stride frequency (χ² = 133.4, DF = 3, p < 0.0001); coefficients of variation for both increased at 0.90 m, indicating reduced gait stability.
  • Height and weight were weakly positively correlated with walking speed in water (r < 0.4, p < 0.05), but multiple linear regression found gender (p < 0.001) and water depth (p < 0.001) to be primary factors, while height (p = 0.835) and weight (p = 0.597) were not statistically significant after controlling for other variables.

Methods

  • Controlled experiment conducted in July 2024 at the University of Science and Technology of China with 188 student volunteers (101 males, 87 females), aged 16–33 years (mean 22.3 ± 3.5 years; height 1.7 ± 0.1 m; weight 62.6 ± 12.0 kg). Four water depths were tested: 0 m, 0.35 m, 0.60 m, and 0.90 m. Water trials took place in a swimming pool at 26 °C with clear water and no currents other than those induced by participants; the 0 m condition was in an open area.
  • Participants walked individually through a 1.8 m wide, 8 m long channel. Video was recorded at 25 fps and 1920 × 1080 pixels; Petrack software calibrated 2D pixel coordinates to real-world 3D coordinates, with average error less than 0.02 m. Trajectory data were used to derive speed, lateral swaying amplitude, stride frequency, step length, and coefficients of variation.
  • Because speed distributions were non-normal, the Kruskal-Wallis H-test was applied with gender and water depth as a combined grouping factor, followed by Dunn’s post-hoc test. Pearson correlation and multiple linear regression examined height, weight, gender, and water depth; the interquartile range was used to summarize speed statistics.

Limitations

  • The paper states that the experimental environment was idealized and did not account for flowing water or small waves generated by pedestrian movement, which may influence ground visibility and are common in real floods.
  • The sample consisted solely of college students, a relatively homogeneous group that may not represent broader demographic variation; analyses were limited to trajectory data and did not include psychological factors such as stress and fatigue.
  • Evident from the text: per-depth participant counts (114, 97 or 95, 133, and 88) exceed the stated 188 total, indicating likely repeated participation across conditions, but the paper does not discuss repeated-measures dependence or possible time-of-day/order effects across the two test days.

Model-written summary. Check it against the paper before relying on it.

Integrity signals

Registry

Crossref · 10.14311/app.2026.57.0226

Cites

30 of 30 references verified0 citation errors · 0 not checkable

Statistics

Nothing to recompute.

Figures

Figure 1 Schematic of experimental water depths. 4 solid gray lines represent the 4 experimental water depths, and two orange dotted lines represent waist and knee heights.
Figure 1 Schematic of experimental water depths. 4 solid gray lines represent the 4 experimental water depths, and two orange dotted lines represent waist and knee heights.CC-BY · From the PDF
Image 2
CC-BY · From the PDF
Image 3
CC-BY · From the PDF
Image 4
CC-BY · From the PDF
Figure 3 Pedestrian trajectories across different water depths, with the color bar indicating instantaneous speed (see Appendix A.1). From top to bottom, the trajectories correspond to water depths of 0 m, 0.35 m, 0.60 m, and 0.90 m, respectively.
Figure 3 Pedestrian trajectories across different water depths, with the color bar indicating instantaneous speed (see Appendix A.1). From top to bottom, the trajectories correspond to water depths of 0 m, 0.35 m, 0.60 m, and 0.90 m, respectively.CC-BY · From the PDF
Figure 4 Arm-assisted walking patterns of pedestrians observed at a water depth of 0.90 m. (a) shows a male participant employing arm paddling for balance and propulsion, while (b) captures a similar pattern in a female participant.
Figure 4 Arm-assisted walking patterns of pedestrians observed at a water depth of 0.90 m. (a) shows a male participant employing arm paddling for balance and propulsion, while (b) captures a similar pattern in a female participant.CC-BY · From the PDF
Figure 5 Boxplot of pedestrian movement speeds by gender across water depths. The left side of the box-and-whisker plot displays the interquartile range for movement speeds, while the right side shows the scatter distribution. Blue dashed lines and numerical labels represent changes in male speeds across adjacent water depths, while red markings indicate female speeds. Dunn's post-hoc test significance markers are also included: *** for p < 0.001, ** for p < 0.01, and * for p < 0.05, denoting significant differences across water depths.
Figure 5 Boxplot of pedestrian movement speeds by gender across water depths. The left side of the box-and-whisker plot displays the interquartile range for movement speeds, while the right side shows the scatter distribution. Blue dashed lines and numerical labels represent changes in male speeds across adjacent water depths, while red markings indicate female speeds. Dunn's post-hoc test significance markers are also included: *** for p < 0.001, ** for p < 0.01, and * for p < 0.05, denoting significant differences across water depths.CC-BY · From the PDF
Figure 6 Comparison with previous studies.
Figure 6 Comparison with previous studies.CC-BY · From the PDF
Figure 7 Comparison of M -v i characteristics.
Figure 7 Comparison of M -v i characteristics.CC-BY · From the PDF
Figure 8 Grouped box plots illustrating lateral swaying amplitudes by gender. Kruskal-Wallis test results assessing the effect of gender on lateral swaying amplitudes at each water depth are indicated in the figure, with "***" denoting p < 0 . 001, signifying a statistically significant difference.
Figure 8 Grouped box plots illustrating lateral swaying amplitudes by gender. Kruskal-Wallis test results assessing the effect of gender on lateral swaying amplitudes at each water depth are indicated in the figure, with "***" denoting p < 0 . 001, signifying a statistically significant difference.CC-BY · From the PDF
Figure 9 Scatter plots of pedestrian velocity versus lateral swaying amplitude across varying water depths.
Figure 9 Scatter plots of pedestrian velocity versus lateral swaying amplitude across varying water depths.CC-BY · From the PDF
Figure 10 (a). Pedestrian stride frequency at each water depth; (b). Pedestrian step length at each water depth. The results of the Kruskal-Wallis test assessing the effect of gender on stride frequency and step length at each water depth are indicated in the figure, with *** denoting a significant difference (p < 0.001).
Figure 10 (a). Pedestrian stride frequency at each water depth; (b). Pedestrian step length at each water depth. The results of the Kruskal-Wallis test assessing the effect of gender on stride frequency and step length at each water depth are indicated in the figure, with *** denoting a significant difference (p < 0.001).CC-BY · From the PDF
Figure 11 (a). Relationship between stride frequency and velocity in the direction of motion for different water depths; (b). Relationship between step length and velocity in the direction of motion for different water depths.
Figure 11 (a). Relationship between stride frequency and velocity in the direction of motion for different water depths; (b). Relationship between step length and velocity in the direction of motion for different water depths.CC-BY · From the PDF
Figure 12 Boxplots of coefficient of variation for step length and stride frequency. The red box plot represents the coefficient of variation of stride frequency ( CV frequency ), which corresponds to the left red axis, and the blue box plot represents the coefficient of variation of step length ( CV length ), which corresponds to the right blue axis. The box in the boxplot shows the middle 50 % of the data, with the lower and upper edges representing the 25 th and 75 th percentiles. The line inside the box shows the median value, which is the middle point of the data. The whiskers extend from the box to show the range of the data, excluding extreme values. The mean is marked with a circle, showing the average value.
Figure 12 Boxplots of coefficient of variation for step length and stride frequency. The red box plot represents the coefficient of variation of stride frequency ( CV frequency ), which corresponds to the left red axis, and the blue box plot represents the coefficient of variation of step length ( CV length ), which corresponds to the right blue axis. The box in the boxplot shows the middle 50 % of the data, with the lower and upper edges representing the 25 th and 75 th percentiles. The line inside the box shows the median value, which is the middle point of the data. The whiskers extend from the box to show the range of the data, excluding extreme values. The mean is marked with a circle, showing the average value.CC-BY · From the PDF
* a : swaying amplitude; f: stride frequency; l : step length
* a : swaying amplitude; f: stride frequency; l : step lengthCC-BY · From the PDF

Verification

Claims the paper makes

64 Own result · 25 Own interpretation · 11 Sources not found · 8 Own method · 5 No basis given

Show all 67 claims

  • It may state two separate claims as one. 35
  • Probably not a substantial claim. 17
46 of 46
  • The paper relies on this without support.

    The experimental walking task simulates emergency evacuation.

    “simulating an emergency evacuation by proceeding quickly and safely through the measurement area to the End Line.”
  • The paper relies on this without support.

    The controlled swimming pool conditions adequately represent floodwater conditions for pedestrian movement.

    “In-water trials were performed in a swimming pool under controlled conditions, maintaining a water temperature of 26 °C, standard water density, clear water free of sediment or silt, and no currents, other than those induced by the movement of participants.”
  • The paper relies on this without support.

    The student volunteer sample is representative of the general pedestrian population in flood evacuations.

    “The experiment involved 188 student volunteers (101 males and 87 females) aged 16 to 33 years”
  • The paper relies on this without support.

    A lower coefficient of variation in stride frequency and step length indicates greater gait stability.

    “A lower CV value indicates greater consistency and smaller fluctuations in the measured parameters.”
  • The paper relies on this without support.

    The relationship between characteristic flood force M and pedestrian walking speed v_i (Eq. 3) is extensively applied in flood evacuation modeling.

    “The relationship between characteristic flood force M and pedestrian walking speed v i (Eq. 3) is extensively applied in flood evacuation modeling.”
  • The authors state this as an assumption.

    The specific flood force M is determined by flood depth and flow velocity as expressed in Eq. 2, and this model is valid for the hydrostatic conditions of this study.

    “The specific flood force, a critical parameter in flood characterization, is determined by both flood depth and flow velocity, as expressed in Eq. 3.”
  • The paper relies on this without support.

    Lateral body sway is essential for maintaining balance while walking, and stride frequency and step length are key determinants of pedestrian speed.

    “Lateral body sway is essential for maintaining balance while walking, with stride frequency and step length serving as key determinants of pedestrian speed.”
7 of 7

Self-check

Percentages, sums and reported differences re-computed from the paper’s own numbers.

Each contradiction between two passages listed here was confirmed by an independent check.

3 of 3

Citations

Cites

Show all 30 references

Research works printed but not linked: 1

  1. W. M. Cao, Shuchao, J. Ni, et al. Research on crowd movement characteristics and evacuation modeling in subway stations under flood disaster. Journal of Railway Science and Engineering pp. 1-11, 2023. https: //doi.org/10.19713/j.cnki.43-1423/u.T20230119 · DOI

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Metadata

Authors
Li, X., Song, W., Zhang, J., & Bode, N. W. F.
Venue
Acta Polytechnica CTU Proceedings
Published
2026-06-16
Volume
57
Pages
226-238
ISSN
2336-5382 (ISSN-L)
OpenAlex
W7167206161
Cited by
1
References
30
Citations by year
2026: 1
FWCI
5.89
Type
journal article
Language
en
Open access
Locations
  • Acta Polytechnica CTU Proceedings (publishedVersion, cc-by)
  • Explore Bristol Research (publishedVersion, cc-by)
  • DOAJ (DOAJ: Directory of Open Access Journals) (submittedVersion)
  • Cvut DSpace (Czech Technical University) (submittedVersion, cc-by)
  • Bristol Research (University of Bristol) (submittedVersion, cc-by)
Funders
China Scholarship Council
Topics
  • Social Sciences › Safety Research › Evacuation and Crowd Dynamics
  • Health Sciences › Health Professions › Physical Therapy, Sports Therapy and Rehabilitation › Balance, Gait, and Falls Prevention
  • Physical Sciences › Engineering › Civil and Structural Engineering › Structural Engineering and Vibration Analysis
Keywords
water depth, pedestrian speed, gait, gait stability, step length, cadence, gender differences, flood evacuation, flood safety

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