The DOI matches its Crossref record; 9 of the 9 references it cites were found in a registry or an index; none of the 14 sources its claims cite is checked for support yet.
Measuring and modeling the speed of human navigation
Open accessAbstract
Navigation, the goal-related movement through space and time to reach a destination, is a fundamental human activity. Geographers, physiologists, anthropologists, and psychologists have long been interested in the spatial and temporal aspects of navigation speed. Hikers, search and rescue teams, firefighters, the military, and others navigate on foot, and their success depends on understanding how the dynamics of foot-based navigation affect individual capabilities. This research modeled the speed of movement of humans engaged in navigation in wooded environments with varied terrain. Movement models were developed using spatiotemporal analysis of multiple subjects’ trajectories. Speed estimates were collected via satellite positioning from 200 subjects engaged in foot-based navigation. Trajectory data were merged with land-cover data to analyze human navigation over varying slopes and terrain. Generalizing these characteristics provided a model of navigational speed of movement from an origin to a destination along an unknown route. Tobler’s hiking function and Naismith’s rule were used in an analysis of the trajectory data. The model created from this study was shown to outperform those classic human movement speed estimators by predicting route completion time within 10% accuracy (M = 11.1min, 95% CI [9.8, 12.4] min). These models help explain the human dynamics of navigation.]
Overview
AI snapshot
Written from the paper’s full text.
TL;DR
This paper develops and tests a model of human navigation speed on foot that includes wayfinding cost, using GNSS trajectories from 200 USMA cadets navigating hilly, wooded terrain. The derived model predicts route completion times with 9% MAPE, outperforming Tobler’s hiking function (15%) and Naismith’s rule (20%).
Key findings
- The fastest on-road navigation speed occurred at 5% downhill slope: 1.11 m/s for males and 1.05 m/s for females, which is 34% slower than Tobler’s estimated fastest on-road hiking speed of 1.67 m/s.
- The fastest off-road navigation speed was 0.78 m/s for males and 0.70 m/s for females, with the off-road model peaking at −2% slope.
- Mean average percent error (MAPE) between estimated and actual route completion times was 9% for both male and female groups, compared with 15% for Tobler’s hiking function and 20% for Naismith’s rule. For routes approximately 2 h long, the new model estimated completion times within 10 min, about 50% better than Tobler’s function and 100% better than Naismith’s rule.
- The authors attribute a 34% difference between Tobler’s maximum speed and the subjects’ average top speed to the cognitive cost of wayfinding.
Methods
- Data were collected from 200 volunteer USMA cadets during Cadet Basic Training in July and August 2015; the sample was approximately 80.5% male and 19.5% female, ages 17–23, navigating hilly, wooded terrain with map and compass to find seven control points approximately 400 m apart in less than 150 min.
- Movement was recorded with Qstarz BT-1300ST GNSS receivers at 1-s intervals, later downscaled to 10-s resolution; the analysis produced over 130,000 records of 10-s trajectory segments containing walking speed, slope, and on-road/off-road classification.
- Terrain was classified as on-road or off-road using road centerlines, 1-m satellite imagery, and a 9-m buffer; slope and speed were computed from GNSS outputs, data were binned by 1% slope between ±100%, and exponential/Gaussian curves were fitted and assessed by MAPE against actual route completion times.
Limitations
- Stated by the authors: subjects were not under direct observational control at all times, subjects were not navigating alone because a safety partner accompanied them, and GNSS measurement constraints likely lowered model precision due to systematic errors, receiver noise, multipath under tree canopy, and 4–6 m RMS locational error.
- Stated by the authors: the USMA cadet sample is representative of military personnel, but there are likely large differences in navigation speed for different ethnic groups, cultures, and classes, and other variables such as weather, load, footwear, and temperature would increase variation.
- Evident from the text: there were four times as many male subjects as females, 95% of observations were at slopes between ±65%, and seven trajectories that began at the start point but did not return were removed from the distance and duration summary, likely due to GNSS battery loss or turning off.
Model-written summary. Check it against the paper before relying on it.
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Claims the paper makes
0 of 14 cited sources checked · 0 supported · 0 flagged
- Findingown data§ AQ8
For routes approximately 2-h long, the new model accurately estimates completion times within 10 min of the actual time.
“For routes approximately 2-h long, the new model accurately estimates 470 completion times within 10 min of the actual time.”
Quote in the paperSubstantial claim - Findingnone given§ Discussion
Movement speed during on-road navigation was found to follow an exponential relationship over the constrained ranges mentioned above.
“Movement speed during on-road navigation was found to follow an exponential relationship over the constrained ranges mentioned above.”
Quote in the paperSubstantial claim - Findingreasoning§ AQ8
Almost all of the curve derived from Langmuir and Naismith falls above the empirical data collected during this study.
“Figures 4567show that almost all of the curve derived from Langmuir and Naismith falls above the empirical data collected during this study”
Quote in the paperSubstantial claim - Findingnone given§ Discussion
Naismith's rule with Langmuir's additions predict a top speed more than three times as great.
“Naismith's rule with Langmuir's additions predict a top speed more than 395 three times as great.”
Quote in the paperNot a substantial claim - Findingown data§ AQ8
Naismith's rule with Langmuir's corrections underestimates the time it took the subjects to navigate from point to point.
“Naismith's rule with Langmuir's corrections under-490 estimates the time it took the subjects to navigate from point to point.”
Quote in the paperSubstantial claim
- Findingown data§ AQ8
Despite limitations, the model derived in this research replicates the route completion times of the subjects well.
“Despite these limitations, the model derived in this research replicates the route completion times of the subjects well.”
Quote in the paperSubstantial claim - Findingcitation§ Discussion
The GNSS produced locational RMS errors near 4-6 m.
“It is likely that the GNSS produced locational RMS errors near the magnitude of 4-6 m (Rodríguez-Pérez et al., 445 2007).”
Quote in the paperSubstantial claim0 of 1 sources checked- cites Rodríguez-Pérez et al., 2007
Couldn’t be matched to a paper in Crossref, so it can’t be checked.
- Findingown data§ Discussion
Movement at slightly downhill slope was the fastest, occurring at 5% downhill slope on roads.
“Movement at slightly downhill slope was the fastest, occurring at 5% downhill slope on roads.”
Quote in the paperSubstantial claim - Findingreasoning§ AQ8
Similar to his off-road model, his approximations for on-road movement on more level ground outpace the subject's actual movement.
“However, similar to his off-road model, his approximations for on-road movement on more 485 level ground outpace the subject's actual movement.”
Quote in the paperSubstantial claim - Findingown data§ Discussion
This is 34% slower than Tobler's function, which estimates the fastest on-road hiking speed to be 1.67 m/s.
“This is 34% slower than Tobler's function, which estimates the fastest on-road hiking speed to be 1.67 m/s.”
Quote in the paperNot a substantial claim - Findingreasoning§ AQ8
The segment level data (10-s resolution) of movement speeds is noisy because of the dynamics of human behavior and the use of GNSS devices under canopy conditions.
“The segment level data (10-s resolution) of movement speeds is noisy because of the dynamics 465 of human behavior and the use of GNSS devices under canopy conditions.”
Quote in the paperSubstantial claim - Findingown data§ Results
The models reduce movement speeds by 5% for females.
“The models reduce movement speeds by 5% for females (as shown by the .95scaling factor present in equations 3 and 5).”
Quote in the paperSubstantial claim - Findingnone given§ AQ8
His model for off-road hiking overestimates navigation speed on the more level terrain between -15% and 5% slope.
“Also, his model for off-road hiking overestimates navigation speed on the more level terrain between 480 -15% and 5% slope.”
Quote in the paperNot a substantial claim - Findingown data§ Results
The mean average percent error (MAPE) between estimated and actual route completion times was 9% for both male and female groups.
“MAPEs for the male and female groups were both 9% .”
Quote in the paperSubstantial claim - Findingown data§ Discussion
The exponential model for off-road navigation presented here best fits the data with a peak at -2%.
“The exponential model for off-road navigation pre-400 sented here best fits the data with a peak at -2% .”
Quote in the paperSubstantial claim - Findingown data§ AQ8
Using large numbers of movement segments to predict route-based completion time yielded excellent results.
“Nonetheless, using large numbers of movement segments to predict route-based completion time yielded excellent results.”
Quote in the paperSubstantial claim - Interpretationreasoning§ Navigation
Wayfinding and the cognition it requires decrease a person's rate of movement.
“This component, and the cognition required to accomplish it, decreases a person's rate of movement.”
Quote in the paperSubstantial claim - Interpretationreasoning§ Navigation
Movement speed of navigation is reduced in proportion to the amount of wayfinding required.
“Movement speed of navigation is reduced proportionate to the amount of wayfinding that is required.”
Quote in the paperNot a substantial claim - Study design and conductnone given§ Discussion
The data collection devices had limited accuracy due to systematic GNSS errors, noise from the receiver, and multipath error from the tree canopy.
“Finally, the data collection devices had limited accuracy due to systematic GNSS errors, noise from the receiver, and multipath error from the tree canopy.”
Quote in the paperSubstantial claim - Premisecitation§ Discussion
Naismith's rule is again significantly higher at 2.1 m/s.
“Naismith's rule is again significantly higher at 2.1 m/s.”
Quote in the paperNot a substantial claim0 of 1 sources checked- cites Naismith
Couldn’t be matched to a paper in Crossref, so it can’t be checked.
- Interpretationreasoning§ AQ8
Naismith's rule is primarily concerned with the speed of locomotion as opposed to the speed of navigation which includes the cognitive cost of wayfinding.
“most likely because Naismith's rule is primarily concerned with the 495 speed of locomotion as opposed to the speed of navigation which includes the cognitive cost of wayfinding.”
Quote in the paperSubstantial claim - Premisecitation§ Discussion
Tobler's hiking function estimates the maximum hiking speed for off-road movement to be 1 m/s.
“Tobler's hiking function estimates the maximum hiking speed for off-road movement to be 1 m/s.”
Quote in the paperNot a substantial claim0 of 1 sources checked- cites Tobler
Couldn’t be matched to a paper in Crossref, so it can’t be checked.
- Interpretationreasoning§ The cost of cognition
The difference between locomotion and the model derived in this research represents the cost of cognition during navigation.
“Then, the difference 515 between locomotion and the model derived in this research represents the cost of cognition during navigation.”
Quote in the paperSubstantial claim- The authors state this as an assumption: Naismith's rule or Tobler's hiking function defines the speed of human locomotion.
- Interpretationreasoning§ AQ8
Misclassification of data segments due to location error and inaccuracies in speed and slope estimates are likely explanations for the low goodness-of-fit metrics of the model at micro resolutions.
“Misclassification of data segments due 455 to location error and the inaccuracies in the speed and slope estimates are likely explanations for the low goodness-of-fit metrics of the model at micro resolutions.”
Quote in the paperNot a substantial claim - Study design and conductreasoning§ Discussion
It was impossible to tell the exact activity of a subject at a given time.
“It was impossible to tell the exact activity of 425 a subject at a given time.”
Quote in the paperNot a substantial claim - Premisecitation§ Land cover classification
A GNSS horizontal error of 4-6 m (RMS) is expected in foliage.
“A GNSS horizontal error of 4-6 m (RMS) is expected in foliage (Rodríguez-Pérez, Álvarez, & 290 Sanz-Ablanedo, 2007).”
Quote in the paperSubstantial claim0 of 1 sources checked- cites Rodríguez-Pérez, Álvarez, & Sanz-Ablanedo, 2007
Couldn’t be matched to a paper in Crossref, so it can’t be checked.
- Interpretationown data§ Results
This relationship can be modeled using an exponential function.
“This relationship can be modeled using an exponential function.”
Quote in the paperSubstantial claim - Study design and conductreasoning§ Discussion
Error from the Qstarz device could cause entire segments of data to be misclassified.
“Error from the Qstarz device could cause entire segments of data to be misclassified.”
Quote in the paperNot a substantial claim - Interpretationown data§ Discussion
This is the same as Tobler's estimate of -5% slope.
“This is the same as Tobler's estimate of -5% slope.”
Quote in the paperNot a substantial claim0 of 1 sources checked- cites Tobler
Couldn’t be matched to a paper in Crossref, so it can’t be checked.
- Study design and conductreasoning§ Discussion
This amount of error made it difficult to determine if subjects were navigating on-road or off-road with absolute confidence.
“This amount of error made it difficult to determine if the subjects were navigating on-road or offroad with absolute confidence.”
Quote in the paperNot a substantial claim - Study design and conductreasoning§ Discussion
Subjects were not under direct observational control at all times.
“Several other limitations of the study require mention: (1) subjects were not under direct observational control at all times”
Quote in the paperNot a substantial claim - Interpretationnone given§ AQ8
Tobler's model for on-road hiking is better at predicting navigation speed overall than his model of offroad estimates.
“Tobler's model for on-road hiking is better at predicting navigation speed overall than his model of offroad estimates.”
Quote in the paperNot a substantial claim
- Probably not a substantial claim. 26
- It may state two separate claims as one. 17
Probably not a substantial claim. The paper’s conclusions may not depend on it.
Findingown data§ Results95% of the observations were taken at slopes between ±65% slope.
“Additionally, 95 % of the observations were taken at slopes AQ7 between ±65% slope.”
Quote in the paperNot a substantial claimProbably not a substantial claim. The paper’s conclusions may not depend on it.
Findingown data§ ResultsMean time on the course was 141 min (range 88-185 min).
“Time on the course: Mean: 141 min Range: 88-185 min”
Quote in the paperNot a substantial claimIt may state two separate claims as one.
Findingown data§ ResultsTobler's hiking function yielded a MAPE of 15% and Naismith's rule produced a MAPE of 20%.
“For comparison, Tobler's hiking function yielded a MAPE of 15% and Naismith's rule produced a MAPE of 20% .”
Quote in the paperSubstantial claimIt may state two separate claims as one.
Findingown data§ DiscussionThe speed traveled at this grade during navigation is 1.11 m/s for males and 1.05 m/s for females.
“The speed traveled at this 390 grade during navigation is 1.11 m/s for males and 1.05 m/s for females.”
Quote in the paperNot a substantial claimProbably not a substantial claim. The paper’s conclusions may not depend on it.
Findingown data§ Determination of slope and navigation speedThe calculations resulted in a data matrix containing over 130,000 records representing 10-s segments of each subject's trajectory.
“These calculations resulted in a data matrix that contained over 130,000 records representing 10-s segments 305 of each subject's trajectory.”
Quote in the paperNot a substantial claimIt may state two separate claims as one.
Findingown data§ DiscussionThis study found a general symmetry for navigation speed based on slope with the fastest movement being slightly downhill.
“This study 380 found a general symmetry for navigation speed based on slope with the fastest movement being slightly downhill.”
Quote in the paperSubstantial claimIt may state two separate claims as one.
Findingnone given§ AQ8Tobler's curve underestimates navigation speed for slopes less than -15% and greater than 5%.
“Tobler's curve underestimates navigation speed for slopes less than -15% and greater than 5% .”
Quote in the paperNot a substantial claimIt may state two separate claims as one.
Findingown data§ AQ8This is about 50% better than Tobler's function and 100% better than using Naismith's rule.
“This is about 50% better than Tobler's function and 100% better than using Naismith's rule.”
Quote in the paperSubstantial claimProbably not a substantial claim. The paper’s conclusions may not depend on it. The paper may give no reason why it holds.
Findingnone given§ ResultsThe data shown in Figures 4-7 take the form of a normal curve.
“The data shown in Figures 4567take the form of a normal curve.”
Quote in the paperNot a substantial claimIt may state two separate claims as one.
Findingown data§ ConclusionThis exploration of navigation, locomotion, and wayfinding has developed a methodology and framework to define the cognitive cost of navigation, which amounted to 34% of the task time in the West Point data.
“Finally, this exploration of navigation, locomotion, and wayfinding has developed a methodology and framework to define the cognitive cost of 535 navigation, which amounted to 34% of the task time in the West Point data.”
Quote in the paperSubstantial claimProbably not a substantial claim.
Findingown data§ ResultsVisual inspection of the figures indicates that the equations predict the bin means rather successfully.
“Visual inspection of the figures indicates that the equations predict the bin means rather successfully.”
Quote in the paperSubstantial claimProbably not a substantial claim. The paper’s conclusions may not depend on it.
Findingnone given§ ResultsThere were four times as many male subjects as females.
“There were four times as many male subjects as females.”
Quote in the paperNot a substantial claimIt may state two separate claims as one.
Findingown data§ DiscussionThe model shows the fastest off-road navigation speed was 0.78 m/s for males and .70 m/s for females.
“The model shows the fastest off-road navigation speed was 0.78 m/s for males and .70m/s for females.”
Quote in the paperSubstantial claimProbably not a substantial claim.
Findingown data§ ResultsThe graphical depiction of the data shows a clear relationship between navigation speed and terrain slope.
“The graphical depiction of the data above shows a clear relationship between navigation speed and terrain slope.”
Quote in the paperSubstantial claimProbably not a substantial claim. The paper’s conclusions may not depend on it.
Findingnone given§ ConclusionThe measurement devices and the variance of human behavior cause individual segment estimates to be somewhat erratic.
“The measurement devices and the variance of human behavior cause individual segment estimates to 530 be somewhat erratic.”
Quote in the paperNot a substantial claimProbably not a substantial claim. The paper’s conclusions may not depend on it.
Premisecitation§ Naismith's ruleNaismith's rule is still used today to estimate the time required for a given cross-country walk.
“This rule of thumb has been published many times and is still used today to 105 estimate the time required for a given cross-country walk (Langmuir 1984;Aitken, 1977;Clarke, 2015).”
Quote in the paperNot a substantial claim0 of 3 sources checked- cites Langmuir 1984
- cites Aitken, 1977
Couldn’t be matched to a paper in Crossref, so it can’t be checked.
- cites Clarke, 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.
Premisecitation§ Tobler's hiking functionTobler's hiking function remains commonly used in GIS travel time computations.
“Despite the equation's 155 simplicity, it remains commonly used in GIS travel time computations (Pingel, 2010;Richards-Rissetto & Landau, 2014;Sherrill, Frakes, & Schupbach, 2010;White & Barber, 2012;White & Surface-Evans, 2012).”
Quote in the paperNot a substantial claim0 of 3 sources checked- cites Pingel, 2010 source
- cites Richards-Rissetto & Landau, 2014
Couldn’t be matched to a paper in Crossref, so it can’t be checked.
- cites Sherrill, Frakes, & Schupbach, 2010
Couldn’t be matched to a paper in Crossref, so it can’t be checked.
It may state two separate claims as one.
Study design and conductcitation§ DiscussionBecause of receiver and multipath error, elevation and distance estimates used in computing speed and slope can be expected to be inaccurate and could overestimate distances.
“Additionally, because of receiver and multi-450 path error the elevation and distance estimates used in computing speed and slope can be expected to be inaccurate and could overestimate distances (Ranacher, Brunauer, Trutschnig, Van Der Spek, & Reich, 2016).”
Quote in the paperNot a substantial claim0 of 1 sources checked- cites Ranacher, Brunauer, Trutschnig, Van Der Spek, & Reich, 2016
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 conductreasoning§ DiscussionSubjects were not navigating alone.
“(2) subjects were not navigating alone”
Quote in the paperNot a substantial claimProbably not a substantial claim. The paper may give no reason why it holds.
Interpretationreasoning§ ConclusionThe vastness of the number of segments along a route mitigates these limitations.
“However, the vastness of the number of segments along a route mitigates these limitations.”
Quote in the paperNot a substantial claimProbably not a substantial claim. The paper’s conclusions may not depend on it.
Study design and conductnone given§ Experimental methodsSubjects were assigned a safety partner instructed to accompany but not assist each subject during completion of the navigational test.
“The subjects were also assigned a safety partner, 260 another cadet who was instructed to accompany but not assist each subject during completion of the navigational test.”
Quote in the paperNot a substantial claimProbably not a substantial claim. It may state two separate claims as one.
Study design and conductown data§ Experimental methodsThe Qstarz GNSS positional data were not available to the subjects during navigation and the device was not used to aid navigation.
“Its positional data were not available to the subjects during navigation.”
- Also stated in: § Experimental methods · plain
“however, this device was not used to aid navigation.”
Quote in the paperSubstantial claim- Also stated in: § Experimental methods · plain
Probably not a substantial claim. The paper’s conclusions may not depend on it.
Premisecitation§ Tobler's hiking functionTobler's function shows a maximum hiking speed of approximately 1.67 m/s at a slight downhill slope of 5% (approximately 3°).
“The function shows a maximum hiking speed of approximately 1.67 m/s.This speed occurs at 165 a slight downhill slope of 5 % (approximately 3° ).”
Quote in the paperNot a substantial claim0 of 1 sources checked- cites Tobler, 1993
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. It may state two separate claims as one.
Interpretationown data§ ResultsFigures 9 and 11 show more variability than Figures 8 and 10, especially at extreme slopes, due to significantly fewer observations.
“Figures 9 and 11 show more variability than Figures 8 and 10, especially at extreme slopes, due to significantly 345 fewer observations.”
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.
Study design and conductreasoning§ DiscussionIt is impossible to rule out such interference during the data collection.
“Fundamentally, it is impossible to rule out such interference during the data collection.”
Quote in the paperNot a substantial claimProbably not a substantial claim. It may state two separate claims as one.
Interpretationreasoning§ The cost of cognitionActs such as map reading, analyzing the terrain, decision-making, assessing one's current position, and determining routes have costs associated with them and can be quantified using this rationale.
“Acts such as map reading, analyzing the terrain, decision-making, assessing one's current position, and determining routes have costs associated with them and can be quantified using this rationale.”
Quote in the paperSubstantial claimIt may state two separate claims as one.
Interpretationnone given§ ConclusionThis investigation of the speed of human navigation on foot has developed and tested a model of navigation speed.
“This investigation of the speed of human navigation on foot has developed and tested a model of navigation speed.”
Quote in the paperSubstantial claimIt may state two separate claims as one.
Interpretationown data§ AQ8Tobler's function overestimates the time taken to navigate, primarily because of his model predicting slower off-road navigation speeds.
“Tobler's function overestimates the time taken to navigate, primarily because of his model predicting 475 slower off-road navigation speeds, as shown in Figures 6 and 7.”
Quote in the paperSubstantial claimIt may state two separate claims as one.
Interpretationreasoning§ The cost of cognitionThere is a 34% difference between Tobler's maximum speed and the average top speed of the subjects in this study, which can be attributed to the cognition involved in wayfinding.
“There is a 34% difference between Tobler's maximum speed and the average top speed of the subjects in this study, which can be attributed to the 520 cognition involved in wayfinding.”
Quote in the paperSubstantial claimProbably not a substantial claim. The paper’s conclusions may not depend on it. The paper may give no reason why it holds.
Study design and conductnone given§ DiscussionConstraints of the measurement devices likely lowered the precision of the models developed.
“(3) constraints of the measurement devices likely lowered the precision of 420 the models developed.”
Quote in the paperNot a substantial claimProbably not a substantial claim. The paper’s conclusions may not depend on it. The paper may give no reason why it holds. It may state two separate claims as one.
Interpretationnone given§ ResultsSeven trajectories began at the start point but did not return; this is most likely due to a GNSS losing battery power or turning off.
“*Seven trajectories began at the start point but did not return to the start point.This is most likely due to a GNSS losing battery power or turning off.”
Quote in the paperNot a substantial claimProbably not a substantial claim. The paper’s conclusions may not depend on it.
Interpretationreasoning§ AQ8This is a contributing factor to the difficulty in tuning the model at the individual data segment resolution.
“This is a contributing factor to the difficulty in tuning the model at the individual data segment 460 resolution.”
Quote in the paperNot a substantial claimIt may state two separate claims as one.
Interpretationown data§ DiscussionThis finding is in agreement with Tobler's equation but in contrast to Naismith's formula and Minetti et al. (2002) which reported a non-symmetric relationship.
“This finding is in agreement with Tobler's equation but in contrast to Naismith's formula and research conducted by Minetti, Christian 385 Moia, Roi, and Ferretti (2002) which reported a non symmetric relationship.”
Quote in the paperSubstantial claim0 of 1 sources checked- cites Minetti, Christian Moia, Roi, and Ferretti (2002) source
Probably not a substantial claim. The paper’s conclusions may not depend on it. It may state two separate claims as one.
Study design and conductreasoning§ DiscussionThe safety monitor could have had effects on subject's speed of navigation or how they moved.
“The fact that a second cadet was assigned by USMA to travel with each subject as a safety monitor could have had effects on subject's speed of navigation or how they moved.”
Quote in the paperNot a substantial claimProbably not a substantial claim. The paper may give no reason why it holds.
Premisenone given§ ConclusionWhile models of hiking in the woods exist, none of these models have addressed the cognitive aspect of difficult wayfinding.
“While models of hiking in the 555 woods exist, none of these models have addressed the cognitive aspect of difficult wayfinding.”
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.
Premisenone given§ Tobler's hiking functionThe variables considered by Naismith and Tobler act as a starting point for further development of human dismounted navigation models.
“The variables considered by Naismith and Tobler act as a 180 starting point for the further development of human dismounted navigation models.”
Quote in the paperNot a substantial claimProbably not a substantial claim.
Interpretationreasoning§ The cost of cognitionThis research has developed a framework for defining the cognitive cost of navigation.
“In addition to development of a model for the speed of navigation, this research has developed a framework 500 for defining the cognitive cost of navigation.”
Quote in the paperSubstantial claimProbably not a substantial claim. The paper may give no reason why it holds.
Interpretationnone given§ AQ8It is probable that the subjects are stopping to plan movement, select new routes, and make navigation decisions on more level ground.
“It is probable that the subjects are stopping to plan movement, select new routes, and make navigation decisions on more level ground.”
Quote in the paperNot a substantial claim
The authors state this as an assumption.
Subjects walking very near (<5 m) the road were most likely walking on the road.
“It is assumed that subjects walking very near (<5 m ) the road were most likely walking on the road.”
The paper relies on this without support.
USMA cadets tested are representative of military personnel.
“As USMA cadets, the tested subjects 410 are representative of military personnel.”
The authors state this as an assumption.
Naismith's rule or Tobler's hiking function defines the speed of human locomotion.
“To calculate the cost of cognition, we assume that Naismith's rule or Tobler's hiking function defines the speed of human locomotion.”
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?
Existing travel rate functions fail to sufficiently account for the vast diversity of landscape conditions that impede foot travel.
“Although a number of existing travel rate functions exist, they fail to sufficiently account for the vast diversity of landscape conditions that impede foot travel3–11.”
From A singular, broadly-applicable model for estimating on- and off-path walking travel rates using airborne lidar data (2024) · cites this paper as [6]
The Tobler’s hiking function section (p. not available) says existing models use slope and a path-versus-non-path distinction as a starting point. The discussion (AQ8; p. not available) finds that Tobler’s and Naismith’s functions misestimate navigation times in the study setting. This supports a limitation of those functions, but the paper does not establish that they fail to account for the vast diversity of landscape conditions that impede foot travel. (LLM, conf=0.82)
Experimental — accuracy not yet measuredPast work has accommodated off-path environments by lumping the vast diversity of landscape characteristics into a single multiplier or a small number of fixed multipliers specific to broad land cover categories.
“Past work has accommodated off-path environments by lumping the vast diversity of landscape characteristics into a single multiplier3,6 or a small number of fixed multipliers specific to broad land cover categories7,22.”
From A singular, broadly-applicable model for estimating on- and off-path walking travel rates using airborne lidar data (2024) · cites this paper as [6]
Type 1 firefighters may hike faster on average than the general population and military cadets.
“Since the moderate function predicts travel rates greater than recent pedestrian models from Campbell et al. [29] and Irmischer and Clarke [35], Type 1 firefighters may hike faster on average than the general population and military cadets.”
From Modeling wildland firefighter travel rates by terrain slope: results from GPS-tracking of type 1 crew movement (2020) · cites this paper as [35]
The importance of median travel rate as a variable highlights inherent variability between individuals, which is also acknowledged in other studies on navigation speed and pedestrian behaviour.
“While less important to the model's prediction than the landscape variables, the importance of median travel rate as a variable in our model highlights the inherent variability between individuals, which is also acknowledged in other studies on navigation speed and pedestrian behaviour (Irmischer and Clarke 2018;Prisner and Sui 2023).”
From Machine learning estimation of off-trail pedestrian travel rates using LiDAR-derived slope, vegetation, and surface roughness (2026) · cites this paper as Irmischer and Clarke 2018
Travel time estimates reveal an important degree of variability that would be left unaccounted for if fixed multiplicative terms were used to universally estimate off-path, slope-based travel times.
“Furthermore, our travel time estimates reveal an important degree of variability that would be left unaccounted for if fixed multiplicative terms were used to universally estimate off-path, slope-based travel times3,6,7.”
From A singular, broadly-applicable model for estimating on- and off-path walking travel rates using airborne lidar data (2024) · cites this paper as [6]
Established methods for predicting walking time use the gradient in the direction of travel (walking slope) as the main variable.
“Hikers and hillwalkers typically use the gradient in the direction of travel (walking slope) as the main variable in established methods for predicting walking time (via the walking speed) along a route.”
From Improved prediction of hiking speeds using a data driven approach (2023) · cites this paper as [9]
Irmischer and Clarke's function is based on the movement of military cadets, who may possess similar travel rate characteristics to the firefighting population.
“Irmischer and Clarke [35]'s function is based on the movement of military cadets, who may possess similar travel rate characteristics to the firefighting population.”
From Modeling wildland firefighter travel rates by terrain slope: results from GPS-tracking of type 1 crew movement (2020) · cites this paper as [35]
Most previous studies that explored the relationship between vegetation and travel rates used categorical vegetation or landcover types.
“Most previous studies that have explored the relationship between vegetation and travel rates have used categorical vegetation or landcover types (Alexander, Baxter, and Dakin 2005;Irmischer and Clarke 2018).”
From Machine learning estimation of off-trail pedestrian travel rates using LiDAR-derived slope, vegetation, and surface roughness (2026) · cites this paper as Irmischer and Clarke 2018
The LCPs generated from the cost function for male on-road walkers by Irmischer and Clarke [2017] are often more direct than the other LCPs.
“Exceptions are the LCPs generated from the cost function for male on-road walkers by Irmischer and Clarke [2017], these are often more direct than the other LCPs.”
From Issues in replication and stability of least-cost path calculations (2022) · cites this paper as Irmischer and Clarke 2017
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Metadata
- Authors
- Irmischer, I. J., & Clarke, K. C.
- Affiliations
- United States Military Academy (US)
- Department of Geography, University of California, Santa Barbara, CA, USA
- Corresponding author
- Irmischer, Ian J.
- Venue
- Cartography and Geographic Information Science
- Publisher
- Informa UK Limited
- Published
- 2017-02-28
- Volume
- 45
- Issue
- 2
- Pages
- 177-186
- ISSN
- 1523-0406 (ISSN-L)
- 1545-0465
- OpenAlex
- W2608377476
- Cited by
- 62
- References
- 9
- Citations by year
- 2026: 12 · 2025: 4 · 2024: 10 · 2023: 7 · 2022: 6 · 2021: 12 · 2020: 3 · 2019: 4 · 2018: 2 · 2017: 2
- FWCI
- 2.95
- Type
- journal article
- Language
- en
- Open access
- green
- www.escholarship.org
- Locations
- Cartography and Geographic Information Science (publishedVersion)
- eScholarship (California Digital Library) (submittedVersion)
- Topics
- Social Sciences › Transportation › Human Mobility and Location-Based Analysis
- Physical Sciences › Computer Science › Information Systems › Data Management and Algorithms
- Social Sciences › Safety Research › Evacuation and Crowd Dynamics
- Keywords
- terrain slope, human movement modeling, GPS tracks, land cover, travel time estimation
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