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Preferred walking speed on rough terrain: is it all about energetics?
Open accessPublished version of a preprint
Abstract
Humans have evolved the ability to walk very efficiently. Further, humans prefer to walk at speeds that approximately minimize their metabolic energy expenditure per unit distance (i.e. gross cost of transport, COT). This has been found in a variety of population groups and other species. However, these studies were mostly performed on smooth, level ground or on treadmills. We hypothesized that the objective function for walking is more complex than only minimizing the COT. To test this idea, we compared the preferred speeds and the relationships between COT and speed for people walking on both a smooth, level floor and a rough, natural terrain trail. Rough terrain presumably introduces other factors, such as stability, to the objective function. 10 healthy men walked on both a straight, flat, smooth floor and on an outdoor trail strewn with rocks and boulders. In both locations, subjects performed 5-7 trials at different speeds relative to their preferred speed. The COT-speed relationships were similarly U-shaped for both surfaces, but the COT values on rough terrain were approximately 115% greater. On the smooth surface, the preferred speed (1.24+/−0.17 m/sec) was found to be statistically not different (p-value =0.09) than the speed that minimized COT (1.34 +/− 0.03 m/sec). On rough terrain, the preferred speed (1.07+/−0.05 m/sec) was slower than the COT minimum speed (1.13 +/− 0.07 m/sec) and was statistical significant (p-value=0.02). Since near the optimum speed the COT function is very shallow, these changes in speed result in small change in COT (0.5%). It appears that the objective function for speed preference when walking on rough terrain includes COT and additional factors such as stability.
Overview
AI snapshot
Written from the paper’s full text.
TL;DR
This study compared preferred walking speed and metabolic cost of transport (COT) on a smooth, level floor versus a natural rough trail. On rough terrain, preferred speed was significantly slower than the COT-minimizing speed, suggesting walking-speed preference is not explained by energetics alone.
Key findings
- COT–speed relationships were U-shaped on both surfaces, but COT on rough terrain was approximately 115% greater than on the smooth floor.
- On the smooth floor, preferred speed (1.24±0.17 m s⁻¹) was not statistically different from the COT-minimizing speed (1.34±0.03 m s⁻¹; P=0.09).
- On rough terrain, preferred speed (1.07±0.05 m s⁻¹) was significantly slower than the COT-minimizing speed (1.13±0.07 m s⁻¹; P=0.02).
- Because the COT function is shallow near the optimum, these speed differences changed COT by only 0.8% on the smooth floor and 0.3% on rough terrain; normalized COT–speed curves were similar despite a significant Chow test (P=0.003; meaningful coefficient 0.84).
Methods
- Ten healthy men (body mass 75.10±11.64 kg, height 1.82±0.07 m, age 27.5±1.6 years) walked on a 44.0 m smooth, level concrete floor and a 67.0 m rough outdoor trail with rocks and boulders (straight-line distance 60.3 m; maximum elevation amplitude <2 m).
- Subjects performed trials at preferred, very slow (~50%), slow (~75%), fast (~120–150%), and maximum (~140–190%) speeds; six trials on smooth floor and seven on rough terrain, each 7–9 min, with 5-min rests. Only the second rough-terrain session was analyzed to avoid learning effects.
- Metabolic rate was measured with a portable K4b2 indirect calorimetry system; COT was calculated as MR/(speed×body mass). Only RER<1 trials were analyzed, steady-state measurements were taken at least 3 min after start, and full out-and-back laps were averaged. Linear mixed models with polynomial orders 1–4 were selected by BIC, and Chow tests, paired t-tests, and a meaningful coefficient were used for comparisons.
Limitations
- The authors state they did not model or measure stability on rough terrain as a function of speed, and they do not claim their proposed objective function is the only possible explanation; slower rough-terrain walking might also reflect the need for more accurate foot placement.
- The sample was small and restricted to ten healthy men, so findings may not generalize to women, older adults, or clinical populations (evident from the text).
- The rough-terrain condition required practice and only the second session was used; trials were excluded for RER>1, a fall, and recording failure, and the specific trail may limit generalization to other rough surfaces (evident from the text).
Model-written summary. Check it against the paper before relying on it.
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Claims the paper makes
0 of 59 cited sources checked · 0 supported · 0 flagged
- Findingown data
On rough terrain, the preferred speed (1.07±0.05 m/s) was significantly slower than the COT minimum speed (1.13±0.07 m/s; P=0.02).
“On rough terrain, the preferred speed (1.07±0.05m s -1 ) was significantly slower than the COT minimum speed (1.13±0.07m s -1 ; P=0.02).”
Quote in the paperSubstantial claim - Findingown data
The COT-speed relationships were similarly U-shaped for both the smooth floor and rough terrain.
“The COT-speed relationships were similarly U-shaped for both surfaces, but the COT values on rough terrain were approximately 115% greater.”
- Also stated in: § COT · plain
“For both surfaces, the best fit to the data (i.e.lowest BIC; Appendix 2, Table A2) was of the form COT(s)=bs 2 +cs+d”
Quote in the paperSubstantial claim - Also stated in: § COT · plain
- Findingown data
COT values on rough terrain were approximately 115% greater than on the smooth floor.
“but the COT values on rough terrain were approximately 115% greater.”
- Also stated in: § COT · plain
“We found that the average COT values for the rough terrain were approximately 115% greater than those obtained for the smooth floor condition.”
- Also stated in: § DISCUSSION · plain
“The COT for the rough terrain was considerably greater (∼115%) than for smooth, level walking”
Quote in the paperSubstantial claim - Also stated in: § COT · plain
- Findingown data
On the smooth surface, the preferred speed (1.24±0.17 m/s) was not statistically different (P=0.09) from the speed that minimized COT (1.34±0.03 m/s).
“On the smooth surface, the preferred speed (1.24±0.17m s -1 ) was not found to be statistically different (P=0.09)than the speed that minimized COT (1.34±0.03m s -1 ).”
- Also stated in: § COT · plain
“For the smooth floor condition, a paired t-test showed no significant difference between the preferred and optimal speeds (P=0.09)”
Quote in the paperSubstantial claim - Also stated in: § COT · plain
- Findingown data
Subjects' preferred speeds on both surfaces were close to the speeds that minimized COT.
“Our results revealed that, similar to past studies that studied COT on smooth, level ground and treadmills (e.g.Ralston, 1958;Zarrugh et al., 1974), the subjects' preferred speeds on both surfaces were close to the speeds that minimized COT.”
Quote in the paperSubstantial claim0 of 2 sources checked
- Findingown data
The function describing the dependence of metabolic rate on speed for the smooth, level floor condition in the present study is similar to prediction equations developed in previous studies.
“The function describing the dependence of metabolic rate on speed for the smooth, level floor condition in the present study is similar to prediction equations developed in previous studies (Givoni and Goldman, 1971;Ralston, 1958;Zarrugh et al., 1974;Pandolf et al., 1977).”
Quote in the paperNot a substantial claim0 of 3 sources checked - Findingown data
On both surfaces, the preferred speed was close to the respective energetic optimum speed.
“On both surfaces, the preferred speed was close to the respective energetic optimum speed.”
Quote in the paperSubstantial claim - Findingown data
The preferred walking speed on rough terrain (1.07±0.05 m/s) was approximately 14% slower than the preferred walking speed on the smooth floor (1.24±0.17 m/s).
“The preferred walking speed (averaged across all subjects) on rough terrain of 1.07±0.05m s -1 (mean±s.d.) was approximately 14% slower than the preferred walking speed of 1.24±0.17m s -1 on the smooth floor (Fig. 3).”
Quote in the paperSubstantial claim - Findingown data
The COT functions are very shallow near the optimum speed.
“However, the COT functions in Fig. 3 are very shallow near the optimum speed, such that the difference between the preferred speed and optimal speed caused a change in COT value of only 0.8% for the smooth floor and 0.3% for the rough terrain.”
Quote in the paperSubstantial claim - Findingnone given
Steady-state rates of energy expenditure were obtained after approximately 1.5-2 min.
“We found that steady-state rates of energy expenditure were obtained after approximately 1.5-2 min.”
Quote in the paperSubstantial claim - Findingown data
The meaningful coefficient was 44.07, meaning the average difference between the models was approximately 44 times larger than the average error in the predictions of each model.
“Further, the meaningful coefficient (Eqn 4) was 44.07, which means that the average difference between the models was approximately 44 times larger than the average error in the predictions of each model.”
Quote in the paperSubstantial claim - Findingown data
Subjects chose to walk at speeds that resulted in a COT only 0.55% greater (on average) than the optimum.
“Given that our subjects chose to walk at speeds that resulted in a COT only 0.55% greater (on average) than the optimum, it is worth pondering whether humans can sense such a small difference in COT, and if so, how?”
Quote in the paperSubstantial claim - Findingown data
The Chow test showed a significant difference between the smooth and rough terrain metabolic rate relationships (P<10^-15).
“The Chow test showed that there was a significant difference between the smooth and rough terrain conditions (P<10 -15 ); therefore, it was reasonable to fit a different set of function constants for each surface.”
Quote in the paperSubstantial claim - Findingown data
On rough terrain, the preferred speed was 5% slower than the optimum speed (P=0.02).
“On rough terrain, the preferred speed was 5% slower than the optimum speed (P=0.02).”
Quote in the paperSubstantial claim - Findingown data
The difference between the preferred speed and optimal speed caused a change in COT value of only 0.3% for the rough terrain.
“However, the COT functions in Fig. 3 are very shallow near the optimum speed, such that the difference between the preferred speed and optimal speed caused a change in COT value of only 0.8% for the smooth floor and 0.3% for the rough terrain.”
Quote in the paperSubstantial claim - Findingown data
The difference between the preferred speed and optimal speed caused a change in COT value of only 0.8% for the smooth floor.
“However, the COT functions in Fig. 3 are very shallow near the optimum speed, such that the difference between the preferred speed and optimal speed caused a change in COT value of only 0.8% for the smooth floor and 0.3% for the rough terrain.”
Quote in the paperSubstantial claim - Findingown data
For walking on both the smooth floor and rough terrain, the best fit to the metabolic rate data was MR(s)=bs^2+cs+d.
“After testing LMMs with four different polynomials orders, we found that for walking on both the smooth floor and rough terrain, the best fit to the data (i.e.lowest BIC; Appendix 2, Table A1) was of the form: MR(s)=bs 2 +cs+d”
Quote in the paperSubstantial claim - Findingown data
For a linear increase in walking speed, there was a polynomial increase in metabolic rate.
“For a linear increase in walking speed, we observed a polynomial increase in metabolic rate (Fig. 2).”
Quote in the paperNot a substantial claim - Findingown data
COT values for the rough terrain were approximately 115% greater than those obtained for the smooth floor condition.
“COT values for the rough terrain were approximately 115% greater than those obtained for the smooth floor condition.”
Quote in the paperSubstantial claim - Findingown data
Our data for walking on the smooth floor most closely match the prediction equation of Givoni and Goldman (1971).
“Our data for walking on the smooth floor most closely match the prediction equation of Givoni and Goldman (1971) (Fig. 5A).”
Quote in the paperNot a substantial claim0 of 1 sources checked- cites Givoni and Goldman, 1971 source
- Findingown data
For both surfaces, the best fit to the COT data was COT(s)=bs^2+cs+d.
“For both surfaces, the best fit to the data (i.e.lowest BIC; Appendix 2, Table A2) was of the form COT(s)=bs 2 +cs+d”
Quote in the paperSubstantial claim - Findingown data
Fitting different equations in some cases resulted in different speeds that minimize the COT.
“Choosing the right format of the equation is important as we found that in some cases fitting different equations resulted in different speeds that minimize the COT.”
Quote in the paperNot a substantial claim - Findingown data
The average preferred speed was different between the two surfaces: 1.24±0.17 m/s on the smooth floor and 1.07±0.05 m/s on rough terrain (P=0.03).
“The average preferred speed was different between the two surfaces, 1.24±0.17m s -1 on the smooth floor and 1.07±0.05m s -1 on rough terrain (P=0.03).”
Quote in the paperSubstantial claim - Findingown data
The Chow test on normalized COT data showed a significant difference (P=0.003) between the shapes of the two curves.
“This Chow test also showed a significant difference (P=0.003) between the shapes of the two curves.”
Quote in the paperSubstantial claim - Premisecitation
People walk more slowly on a smooth surface when it is elevated above the ground.
“Similarly, it was found that people walk more slowly on a smooth surface when it is elevated above the ground (Brown et al., 2002;Schniepp et al., 2014)”
Quote in the paperSubstantial claim0 of 2 sources checked - Premisecitation
Humans prefer to walk at speeds that approximately minimize their metabolic energy expenditure per unit distance (gross cost of transport, COT).
“Further, humans prefer to walk at speeds that approximately minimize their metabolic energy expenditure per unit distance (i.e.gross cost of transport, COT).”
- Also stated in: § INTRODUCTION · plain
“More specifically, it has been found that humans choose a walking speed (i.e.preferred speed) that is close to the metabolically optimal speed that minimizes the gross cost of transport (COT)the metabolic rate divided by the locomotion speed.”
Quote in the paperSubstantial claim0 of 2 sources checked - Also stated in: § INTRODUCTION · plain
- Premisecitation
There are several studies that investigated the metabolic rate of locomotion on natural terrains, but they did not focus on the relationship between optimal speed and preferred speed.
“There are several studies that investigated the metabolic rate of locomotion on natural terrains, but they did not focus on the relationship between optimal speed and preferred speed.”
Quote in the paperSubstantial claim0 of 3 sources checked - Premisecitation
The phenomenon that preferred walking speed is close to the COT minimum has been observed in a variety of population groups and other species.
“This has been found in a variety of population groups and other species.”
- Also stated in: § INTRODUCTION · plain
“This phenomenon has been observed in people of normal weight, in people who are obese (Browning et al., 2006), in people with trans-tibial and transfemoral amputations (Genin et al., 2005), in people with post-polio syndrome (Ghosh et al., 1982), and when people carry loads (Bastien et al., 2005).”
Quote in the paperSubstantial claim0 of 3 sources checked - Also stated in: § INTRODUCTION · plain
- Premisecitation
Humans tend to walk slower when there is a greater consequence of falling.
“we know from experience that humans tend to walk slower when there is a greater consequence of falling (Brown et al., 2002;Schniepp et al., 2014).”
Quote in the paperSubstantial claim0 of 2 sources checked - Interpretationreasoning
The objective function for speed preference when walking on rough terrain includes COT and additional factors such as stability.
“It appears that the objective function for speed preference when walking on rough terrain includes COT and additional factors such as stability.”
Quote in the paperSubstantial claim- The authors state this as an assumption: Rough terrain presumably introduces other factors, such as stability, to the objective function.
- Rests on an assumption: Walking on rough terrain intrinsically requires the person to consider their stability while walking.
- Premisecitation
When walking downhill, humans do not select a gait pattern that minimizes COT.
“More recently, it has been discovered that when walking downhill, humans do not select a gait pattern that minimizes COT.”
Quote in the paperSubstantial claim0 of 1 sources checked- cites Monsch et al. (2012) source
- Premisecitation
These studies support the idea that while walking, the body optimizes MIN over walking parameters of COT.
“These studies all support the idea that while walking, our body optimizes MIN {θ} [COT(θ)], where θ is a vector of walking parameters.”
Quote in the paperNot a substantial claim - Premisecitation
Wong et al. (2017) found that subjects ignored blood gas receptor information and walked with their normal step frequencies when blood gas concentrations were experimentally manipulated.
“They experimentally manipulated blood gas (O 2 and CO 2 ) concentrations and found that their subjects ignored the blood gas receptor information and walked with their normal step frequencies.”
Quote in the paperSubstantial claim0 of 1 sources checked- cites Wong et al., 2017 source
- Interpretationreasoning
When walking on rough terrain, the slower walking speed reduces the overall value of the objective function by increasing stability.
“We propose Eqn 1 as a possible alternative and argue that when walking on rough terrain, the slower walking speed increases stability, thus reducing the overall value of the objective function.”
Quote in the paperSubstantial claim- Rests on an assumption: Slower walking on rough terrain increases stability.
- Interpretationown data
The COT function is relatively insensitive to the change in speed near the optimal COT speed.
“This indicates that the COT function is relatively insensitive to the change in speed near the optimal COT speed.”
Quote in the paperSubstantial claim - Premisecitation
Both Givoni and Goldman (1971) and Pandolf et al. (1977) utilized a terrain factor η that represents the effect of the surface type on metabolic rate.
“Both of those studies utilized a terrain factor η that represents the effect of the surface type on metabolic rate.”
Quote in the paperSubstantial claim0 of 2 sources checked - Interpretationown data
Simply minimizing COT does not fully represent the human objective function for walking speed.
“In summary, based on both the current findings, which show a difference between the speed that minimizes the COT and the preferred speed on rough terrain, and previous research (Brown et al., 2002;Clark-Carter et al., 1986;Monsch et al., 2012;Schniepp et al., 2014), it seems that simply minimizing COT does not fully represent the human objective function for walking speed.”
Quote in the paperSubstantial claim0 of 3 sources checked - Interpretationown data
Humans are optimizing a more complex function than MIN {θ} [COT(θ)].
“This supports our hypothesis that humans are optimizing a more complex function than MIN {θ} [COT(θ)]”
Quote in the paperSubstantial claim - Interpretationcitation
The greater COT values for the rough surface likely reflect greater decelerations and accelerations of the center of mass because of foot placement.
“greater decelerations and accelerations of the center of mass because of foot placement (Kuo et al., 2005;Seethapathi and Srinivasan, 2015)”
Quote in the paperNot a substantial claim0 of 2 sources checked- cites Kuo et al., 2005 source
- cites Seethapathi and Srinivasan, 2015
Couldn’t be matched to a paper in Crossref, so it can’t be checked.
- Premisecitation
Humans can reliably perceive their physiological effort, presumably via cardiac and pulmonary sensors.
“Humans can reliably perceive their physiological effort, presumably via cardiac and pulmonary sensors (Borg, 1982)”
Quote in the paperSubstantial claim0 of 1 sources checked- cites Borg, 1982 source
- Interpretationcitation
The greater COT values for the rough surface likely reflect greater rates of mechanical work performed on the center of mass and the substrate itself.
“The greater COT values for the rough surface likely reflects: greater rates of mechanical work performed on the center of mass and the substrate itself (Lejeune et al., 1998)”
Quote in the paperNot a substantial claim0 of 1 sources checked- cites Lejeune et al., 1998 source
- Study design and conductown data
After the speed had stabilized, the average standard deviation of all quarters for each trial was 5% or less.
“After the speed had stabilized, the average standard deviation of all quarters for each trial was 5% or less.”
Quote in the paperSubstantial claim
- It may state two separate claims as one. 22
- The quote only partly states this claim. 3
- Probably not a substantial claim. 23
It may state two separate claims as one. The quote only partly states this claim.
Findingown dataIn a pilot study, there was a learning effect and it took approximately 25 min of practice before the COT stabilized on rough terrain.
“In a pilot study, we found that there was a learning effect and that it took approximately 25 min of practice before the COT stabilized.”
Quote in the paperSubstantial claimProbably not a substantial claim. The paper’s conclusions may not depend on it. It may state two separate claims as one.
Findingown dataThe actual walking path was relatively straight but had some small elevation and left-right deviations.
“The actual walking path was relatively straight but had some small elevation and left-right deviations.”
Quote in the paperNot a substantial claimIt may state two separate claims as one.
Findingown dataThe fit based on the formulation of Ralston (1958), tested using polynomials of orders 2 to 4, had higher BIC values, meaning the fit was worse.
“This was tested using the polynomials of orders 2 to 4, yet BIC values were higher, meaning the fit was worse.”
Quote in the paperNot a substantial claim0 of 1 sources checked- cites Ralston, 1958 source
Probably not a substantial claim. The paper’s conclusions may not depend on it.
Findingown dataThe maximum elevation amplitude along the trail was less than 2 m.
“We measured the changes in elevation along the trail and found that the maximum elevation amplitude was less than 2 m (Fig. 1A).”
Quote in the paperNot a substantial claimIt may state two separate claims as one.
Findingown dataThe preferred speed on the smooth floor was, on average, 8% slower than the optimum speed, but the difference was not statistically significant (P=0.09).
“The preferred speed on the smooth floor was, on average, 8% slower than the optimum speed, but the difference was not statistically significant (P=0.09).”
Quote in the paperSubstantial claimIt may state two separate claims as one.
Findingown dataThe prediction equation of Givoni and Goldman (1971) had the best match to our rough terrain data (lowest RMSE), although the Pandolf et al. (1977) equation is used more commonly.
“Note that although the Pandolf et al. (1977) equation is used more commonly, the prediction equation of Givoni and Goldman (1971) had the best match to our rough terrain data (lowest RMSE).”
Quote in the paperNot a substantial claim0 of 2 sources checkedProbably not a substantial claim.
Findingnone givenThe trail comprised some naturally scattered rocks and boulders.
“The trail comprised some naturally scattered rocks and boulders (Fig. 1B; for a short video of a subject walking, see Movie 1).”
Quote in the paperSubstantial claimIt may state two separate claims as one.
Findingown dataIn a pilot study, the protocol of walking at preferred, maximum and very slow speeds accelerated learning and reduced adaptation time.
“In a pilot study, we found that this protocol accelerated learning and reduced adaptation time.”
Quote in the paperSubstantial claimIt may state two separate claims as one.
Findingown dataThe meaningful coefficient for the normalized data was only 0.84, meaning the average difference between the models is smaller than the average error in the models' predictions.
“Yet, the meaningful coefficient (Eqn 4) was only 0.84, which means that the average difference between the model is smaller than the average error in the models predictions.”
Quote in the paperSubstantial claimIt may state two separate claims as one.
Findingown dataGrid search optimization produced terrain factors of 1.9 and 3.1 for Givoni and Goldman (1971) and Pandolf et al. (1977), respectively.
“This procedure produced terrain factors of 1.9 and 3.1 for Givoni and Goldman (1971) and Pandolf et al. (1977), respectively.”
Quote in the paperSubstantial claim0 of 2 sources checkedIt may state two separate claims as one.
Findingown dataThe metabolically optimal average speed was 1.34±0.04 m/s on the smooth floor and 1.13±0.07 m/s on rough terrain.
“The metabolically optimal average speed (the speed that minimizes the fitted COT functions) was 1.34±0.04m s -1 on the smooth floor and 1.13±0.07m s -1 on rough terrain.”
Quote in the paperSubstantial claimProbably not a substantial claim. The paper’s conclusions may not depend on it.
PremisecitationHumans have evolved the ability to walk very efficiently.
“Humans have evolved the ability to walk very efficiently.”
- Also stated in: § INTRODUCTION · plain
“Humans have evolved the ability to walk very efficiently.”
Quote in the paperNot a substantial claim0 of 1 sources checked- cites Alexander, 2003
Couldn’t be matched to a paper in Crossref, so it can’t be checked.
- Also stated in: § INTRODUCTION · plain
Probably not a substantial claim. The paper’s conclusions may not depend on it. It may state two separate claims as one.
PremisecitationGivoni and Goldman (1971) and Pandolf et al. (1977) developed prediction equations for the metabolic cost of load-carrying while walking on different terrains and slopes.
“Givoni and Goldman (1971) and Pandolf et al. (1977) developed prediction equations for the metabolic cost of load-carrying while walking on different terrains and slopes.”
Quote in the paperNot a substantial claim0 of 2 sources checkedProbably not a substantial claim. The paper’s conclusions may not depend on it.
PremisecitationOver generations, human bodies have evolved muscular and skeletal systems well suited to locomotion.
“Over generations, our bodies have evolved muscular and skeletal systems well suited to locomotion (Alexander, 2003).”
Quote in the paperNot a substantial claim0 of 1 sources checked- cites Alexander, 2003
Couldn’t be matched to a paper in Crossref, so it can’t be checked.
Probably not a substantial claim. It may state two separate claims as one.
PremisecitationPeople who are blind and walk without a guide have a slower preferred walking speed that is unlikely to correspond to their COT minimum.
“However, without a guide, their preferred walking speed is slower and is unlikely to correspond to their COT minimum.”
Quote in the paperSubstantial claim0 of 1 sources checked- cites Clark-Carter et al. (1986) source
It may state two separate claims as one.
InterpretationreasoningBecause near the optimum speed the COT function is very shallow, the changes in speed result in a small change in COT (0.5%).
“Because near the optimum speed the COT function is very shallow, these changes in speed result in a small change in COT (0.5%).”
Quote in the paperSubstantial claimProbably not a substantial claim. The paper’s conclusions may not depend on it.
PremisecitationPedestrians crossing a street increased their walking speed when the time gap between cars was smaller.
“Kalantarov et al. (2018) found that pedestrians crossing a street increased their walking speed when the time gap between cars was smaller.”
Quote in the paperNot a substantial claim0 of 1 sources checked- cites Kalantarov et al. (2018) source
Probably not a substantial claim. The paper’s conclusions may not depend on it.
PremisecitationA recent study examined the metabolic cost of walking on a treadmill that imitates uneven terrain.
“A recent study examined the metabolic cost of walking on a treadmill that imitates uneven terrain (Voloshina and Ferris, 2013).”
Quote in the paperNot a substantial claim0 of 1 sources checked- cites Voloshina and Ferris, 2013
Couldn’t be matched to a paper in Crossref, so it can’t be checked.
It may state two separate claims as one.
PremisecitationStep frequency, step length, step width and speed are all chosen to minimize energy expenditure.
“For example, it has been shown that step frequency (Zarrugh et al., 1974), step length (Umberger and Martin, 2007), step width (Donelan et al., 2001) and speed (Zarrugh et al., 1974) are all chosen to minimize energy expenditure.”
Quote in the paperSubstantial claim0 of 3 sources checkedIt may state two separate claims as one.
PremisecitationHumans learn and choose to walk in a way that minimizes their metabolic energy expenditure.
“Further, we learn and choose to walk in a way that minimizes our metabolic energy expenditure (Ralston, 1958;Zarrugh et al., 1974).”
Quote in the paperSubstantial claim0 of 2 sources checkedProbably not a substantial claim.
Study design and conductnone givenOnly measurements of metabolic rate obtained at least 3 min after the start time were analyzed.
“Therefore, we only analyzed measurements of metabolic rate that were obtained at least 3 min after the start time.”
Quote in the paperSubstantial claimProbably not a substantial claim. The paper’s conclusions may not depend on it.
Study design and conductreasoningUsing an LMM allowed avoiding the problem of over-fitting the data.
“This allowed us to avoid the problem of over-fitting the data (e.g.fitting a third-order polynomial to six data points).”
Quote in the paperNot a substantial claimProbably not a substantial claim. It may state two separate claims as one.
Study design and conductreasoningTo eliminate the possibility of acquiring data during the learning period, subjects completed two rough terrain sessions and only the second session data were used.
“Therefore, to eliminate the possibility of acquiring data during this learning period, subjects completed two rough terrain sessions during which they performed the full experimental protocol.For our analysis, we used only the second session data.”
Quote in the paperSubstantial claimProbably not a substantial claim. The paper’s conclusions may not depend on it.
PremisecitationThe protocol was inspired by Selinger et al. (2015), who found that to find the optimal step frequency, subjects had to carry out an exploratory session walking at fast and slow step frequencies.
“The protocol was inspired by Selinger et al. (2015), who studied humans walking with novel exoskeletons and found that in order to find the optimal step frequency, which minimized their metabolic rate, subjects had to carry out an exploratory session in which they walked at fast and slow step frequencies.”
Quote in the paperNot a substantial claim0 of 1 sources checked- cites Selinger et al. (2015) source
Probably not a substantial claim. The paper’s conclusions may not depend on it.
Study design and conductnone givenThe turbine was calibrated every day and before each trial using a standard authorized calibration gas mixture and a volume pump.
“Every day and before each trial, the turbine was calibrated using a standard authorized calibration gas mixture and a volume pump.”
Quote in the paperNot a substantial claimProbably not a substantial claim. It may be too vague to check against evidence. The paper’s conclusions may not depend on it. The paper may give no reason why it holds.
Interpretationnone givenThe greater COT values for the rough surface likely reflect other stability-related issues.
“and/or other stability-related issues.”
Quote in the paperNot a substantial claimProbably not a substantial claim. The paper’s conclusions may not depend on it.
PremisecitationOther species, including wildebeest, elephants and horses, exhibit preferred terrestrial locomotion speeds within each gait.
“It is worth noting that other species, for example wildebeest (Pennycuick, 1975), elephants (Langman et al., 1995) and horses (Hoyt and Taylor, 1981), also exhibit preferred terrestrial locomotion speeds within each gait.”
Quote in the paperNot a substantial claim0 of 3 sources checkedIt may state two separate claims as one.
PremisecitationHumans can perceive their localized effort, which can be reflected in electromyographic recordings.
“and their localized effort, which can be reflected in electromyographic recordings (Korol et al., 2014(Korol et al., , 2017)).”
Quote in the paperNot a substantial claim0 of 2 sources checkedProbably not a substantial claim.
Study design and conductreasoningOnly trials with a respiratory exchange ratio (RER) of less than 1.00 were analyzed to ensure that metabolic energy was primarily generated via aerobic metabolism.
“To ensure that the metabolic energy was primarily generated via aerobic metabolism, only trials with a respiratory exchange ratio (RER) of less than 1.00 were analyzed.”
Quote in the paperSubstantial claimProbably not a substantial claim.
Study design and conductreasoningTo eliminate the effects of local terrain variation, metabolic rate values were averaged over full out-and-back laps.
“To eliminate the effects of local terrain variation, we averaged metabolic rate values over full out-and-back laps.”
Quote in the paperSubstantial claimThe quote only partly states this claim.
InterpretationcitationThe greater COT values for the rough surface likely reflect shorter step lengths and wider step widths.
“shorter step lengths and wider step widths (Donelan et al., 2001;Zarrugh et al., 1974)”
Quote in the paperNot a substantial claim0 of 2 sources checkedIt may state two separate claims as one. The quote only partly states this claim.
Study design and conductreasoningIn our case, the fluctuations in walking speed were significantly smaller than in Seethapathi and Srinivasan (2015) and probably had a negligible effect on metabolic expenditure.
“In our case, the fluctuations in walking speed were significantly smaller and probably had a negligible effect on metabolic expenditure.”
Quote in the paperSubstantial claim0 of 1 sources checked- cites Seethapathi and Srinivasan (2015)
Couldn’t be matched to a paper in Crossref, so it can’t be checked.
Probably not a substantial claim. The paper’s conclusions may not depend on it.
Study design and conductnone givenStability was not modeled or measured on rough terrain as a function of speed.
“It should also be noted that while everyday experience tells us that slower walking increases stability, we did not model or measure stability on rough terrain as a function of speed.”
Quote in the paperNot a substantial claimProbably not a substantial claim. The paper’s conclusions may not depend on it. It may state two separate claims as one.
PremisecitationVoloshina and Ferris (2013) have shown that walking on uneven terrain causes only minor changes in stepping strategy and suggest that changes in metabolic rate are instead due to a change in the amount of work carried out by lower-limb joints as well as changes in the timing of foot-ground collision and trailing leg push-off.
“Voloshina and Ferris (2013) have shown that walking on uneven terrain causes only minor changes in stepping strategy and suggest that the changes in metabolic rate are instead due to a change in the amount of work carried out by lower-limb joints as well as changes in the timing of foot-ground collision and trailing leg push-off.”
Quote in the paperNot a substantial claim0 of 1 sources checked- cites Voloshina and Ferris (2013)
Couldn’t be matched to a paper in Crossref, so it can’t be checked.
It may state two separate claims as one.
PremisecitationThe preferred walking speeds of horses and elephants are close to their minimum COT speeds.
“Further, the preferred walking speeds of horses and elephants also are close to their minimum COT speeds (Hoyt and Taylor, 1981;Langman et al., 1995).”
Quote in the paperNot a substantial claim0 of 2 sources checkedProbably not a substantial claim. The paper’s conclusions may not depend on it. It may state two separate claims as one.
Study design and conductnone givenThe Ben-Gurion University Human Subjects Research Committee approved the study and participants gave written informed consent.
“The Ben-Gurion University Human Subjects Research Committee approved the study and participants gave written informed consent.”
Quote in the paperNot a substantial claimProbably not a substantial claim. The paper’s conclusions may not depend on it.
PremisecitationVision affects the human perception and selection of preferred walking speed.
“Another sense that affects the human perception and selection of preferred walking speed is vision (Mohler et al., 2007).”
Quote in the paperNot a substantial claim0 of 1 sources checked- cites Mohler et al., 2007 source
It may state two separate claims as one.
Interpretationown dataFor the normalized data, although the fitted equations are not the same, the normalized COT data for both surfaces show similar behavior as a function of normalized speed.
“Thus, for the normalized data, although the fitted equations are not the same (Chow test), the normalized COT data for both surfaces show similar behavior as a function of normalized speed.”
Quote in the paperSubstantial claimProbably not a substantial claim. The paper’s conclusions may not depend on it. It may state two separate claims as one.
Study design and conductreasoningTrial order was counterbalanced so that half the subjects performed the first sequence and the other half performed the second, to avoid trial order effects.
“We switched between X and Y (i.e. the fast speeds and the slow speeds) so that half the subjects performed the first sequence while the other half performed the second, to avoid trial order effects.”
Quote in the paperNot a substantial claim
The paper relies on this without support.
These studies (on preferred speed and COT) were mostly performed on smooth, level ground or on treadmills.
“However, these studies were mostly performed on smooth, level ground or on treadmills.”
The authors state this as an assumption.
Rough terrain presumably introduces other factors, such as stability, to the objective function.
“Rough terrain presumably introduces other factors, such as stability, to the objective function.”
The paper relies on this without support.
To date, most research into walking and the COT phenomenon has been carried out on treadmills or smooth, level floors.
“To date, most research into walking and the COT phenomenon has been carried out on treadmills or smooth, level floors.”
The paper relies on this without support.
No one has examined COT as a function of speed on natural, rough terrain.
“However, to the best of our knowledge, no one has examined COT as a function of speed on natural, rough terrain.”
The paper relies on this without support.
Human walking efficiency primarily evolved on natural surfaces, not smooth floors or treadmills.
“First, human walking efficiency primarily evolved on natural surfaces, not smooth floors or treadmills.”
The paper relies on this without support.
Walking on rough terrain intrinsically requires the person to consider their stability while walking.
“Second, walking on rough terrain intrinsically requires the person to consider their stability while walking.”
The paper relies on this without support.
Slower walking on rough terrain increases stability.
“while everyday experience tells us that slower walking increases stability, we did not model or measure stability on rough terrain as a function of speed.”
Claims other papers make about this one
Each is checked against this paper’s own text: does it say what the citing paper says it does?
Reducing step length below that preferred on regular surfaces should increase the energy costs associated with walking on natural terrains like those in forests.
“Reducing step length below that preferred on regular surfaces should increase the energy costs associated with walking on natural terrains like those in forests (Gast et al., 2019; Umberger & Martin, 2007)”
From Forest terrains influence walking kinematics among indigenous Tsimane of the Bolivian Amazon (2022) · cites this paper as Gast et al., 2019
Recent studies of walking on rocky terrains found individuals significantly reduced their step lengths to achieve more stable foot placement compared with walking on flat, even surfaces, which more than doubled their walking costs.
“Several recent studies of walking on rocky terrains found the individuals significantly reduced their step lengths to achieve more stable foot placement when compared with walking on flat, even surfaces (Gast, Kram, & Riemer, 2019; Matthis et al., 2018), which more than doubled their walking costs (Gast et al., 2019)”
From Forest terrains influence walking kinematics among indigenous Tsimane of the Bolivian Amazon (2022) · cites this paper as Gast et al., 2019
Cost differences could be closer to the range of the 50-115% increases previously measured for heavy brush and rocky terrains vs. even, hard surfaces.
“Cost differences could be closer to the range of the 50–115% increases previously measured for heavy brush and rocky terrains vs. even, hard surfaces (Soule & Goldman, 1972; Gast et al., 2019).”
From Forest terrains influence walking kinematics among indigenous Tsimane of the Bolivian Amazon (2022) · cites this paper as Gast et al., 2019
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.
Conflicting standard deviations for optimal smooth-floor speed
MinorThe abstract reports a standard deviation of 0.03 m s−1, whereas the Results report 0.04 m s−1 for the same optimal speed. Table 1 gives 0.036 m s−1, which rounds to 0.04 at two decimal places.
“the speed that minimized COT (1.34±0.03m s -1 ).”
“The metabolically optimal average speed (the speed that minimizes the fitted COT functions) was 1.34±0.04m s -1 on the smooth floor and 1.13±0.07m s -1 on rough terrain.”
Conflicting average body masses
MinorThe subjects' average body mass is reported as 75.10 kg in Methods but as 76.5 kg in the appendix calculations.
“Ten healthy male subjects (body mass: 75.10±11.64kg, height: 1.82± 0.07 m, age: 27.5±1.6years; mean±1 s.d.) participated in this experiment.”
“where MR is the metabolic rate in watts, M is the body mass (for this study, the average body mass was 76.5 kg)”
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Metadata
- Authors
- Gast, K., Kram, R., & Riemer, R.
- Affiliations
- Ben-Gurion University of the Negev (IL)
- Department of Integrative Physiology, University of Colorado Boulder, USA
- Corresponding author
- Riemer, Raziel
- ORCID
- Riemer, Raziel
- Venue
- Journal of Experimental Biology
- Publisher
- The Company of Biologists
- Published
- 2019-01-01
- Volume
- 222
- Issue
- Pt 9
- ISSN
- 0022-0949 (ISSN-L)
- 1477-9145
- OpenAlex
- W2950067380
- Cited by
- 58
- References
- 46
- Citations by year
- 2026: 7 · 2025: 15 · 2024: 6 · 2023: 7 · 2022: 14 · 2021: 5 · 2020: 3 · 2019: 1
- FWCI
- 1.80
- Type
- journal article
- Language
- en
- Open access
- bronze
- doi.org
- Locations
- Journal of Experimental Biology (publishedVersion)
- bioRxiv (Cold Spring Harbor Laboratory) (submittedVersion, cc-by)
- PubMed (publishedVersion)
- HighWire Press Open Archive (submittedVersion)
- Funders
- Leona M. and Harry B. Helmsley Charitable Trust and the Marcus Endowment Fund both at Ben-Gurion University of the Negev (through the Agricultural, Biological and Cognitive Robotics Initiative of Ben-Gurion University of the Negev.)
- Topics
- Physical Sciences › Engineering › Biomedical Engineering › Lower Extremity Biomechanics and Pathologies
- Health Sciences › Health Professions › Physical Therapy, Sports Therapy and Rehabilitation › Balance, Gait, and Falls Prevention
- Physical Sciences › Engineering › Control and Systems Engineering › Robotic Locomotion and Control
- Keywords
- preferred walking speed, uneven terrain, cost of transport, metabolic cost, energy cost of walking, gait stability, human locomotion
- MeSH terms
- Walking Speed, Adult, Energy Metabolism, Environment, Humans, Male
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