The Mouck Method for Gait Analysis and Path Deviation Study
Foreword
When a person is walking, whether lost or not, with each step there’s a change of direction. If the left and right side direction changes
don’t cancel each other, the overall direction of travel (DOT) will change with each stride.
With outside cues, these direction changes are constantly being corrected for, so we can walk a "straight" line to a target.
But, when there are no direction cues, these regular direction changes can result in a person walking at 90 deg to the original DOT in
much less than 50 yds (cf. the football field experiment). It's the reason that many subjects, when lost, circle the start point, or return to it,
even though they started off by heading directly away.
This tendency to wander from the straight path is called path deviation (PD). The main question has always been, "What causes the
direction changes leading to PD."
Previously, it was thought the most important factor was step length, because it was believed that a difference in the step lengths for the
left and right feet caused turns. Since limb dominance affects, to a large extent, the step length, it was thought that limb dominance
controlled PD by altering step lengths.
THAT DOES NOT HAPPEN. DOMINANCE MAY AFFECT STEP LENGTH, BUT DIRECTION CAN NOT BE CHANGED BY
CHANGING ONLY STEP LENGTHS. There must be other reasons for the direction changes leading to PD.
The search for these reasons resulted in this new gait measurement system. It organizes, measures and can track many new parameters
which show not only the direction, but also the distance changes over a single, isolated step, or an entire path.
Overhead snapshots capture the positions of the 4 minimum points of gait (start-heel-point, rear-pelvic joint, step-pelvic joint, step-heelpoint) and the foot-line, projected onto a 2D plane (usually the plane of the floor). The relationships between these points and line define
the 8 fundamental parameters, which are the basic measurements of the system. These parameters separate distance and direction
changes, within a single step, as contributions from specific joints and body segments.
This method provides accurate definitions of such basic values as step, stride, and carry lines, walking-straddle, etc., as well as the
accurate, separate determination of direction changes, within a step, via the four parameters related to how people change direction: foot
angle, foot offset, push-off angle and aberrations.
Total angular change per step is the sum of these four parameters, and the exact characteristics of the path depends on how each is being
used in overall direction control, besides how the other 4 linear parameters; rear-leg-line, pelvic stretch, straddle-line, and step-out-line,
are being manipulated.
And, there could be a great deal more information available within the system. It currently shows a few standard reference points and
lines, like the pelvis direction and reference-foot model, but how these relate to forces, momentum, the paths of other points and lines, etc.
is currently unknown. They may represent limits of ranges, or have other standard relationships. Also, time analysis of the various
parameters may show periodicity with respect to one or more of the others, or with some other factor(s).
These are points to be discovered. This area is in its infancy.
This version removes all the simplifications used in the original.
The applications to formal gait research are far too numerous to be outlined in a single scenario, but to illustrate a significant potential
application in Search and Rescue (SAR), please consider the following:
Application to SAR - One Plausible Scenario
10 yr old girl, healthy. On a walk, she passed through several fields and wooded areas, on a faint trail, and then became lost. Tracker
team was called in, but with the inclusion of a path deviation (PD) team of two or three people.
Both teams set to work. The tracker team follows the tracks, analyzes them, interprets sign, and follows the trail as far as possible. They
determine that she went down a small hill to look at flowers (probably), went out to about the middle of a small field and then set off in
the wrong direction. The rocky terrain didn't reveal anything more.
While the tracker team does its work, the PD team quickly finds a series of footprints from the girl which appear to be a normal walking
pattern without unusual stresses, this was supported by the tracker team's previous observation when they spotted them on the way
through. They set a reference point, and measure the distance to the heel-point of the first footprint. The line from the reference point to
the first heel-point is set as 0 deg, and is the reference line for all angular measurements.
The two measurements required for each footprint are: 1) heel-point to reference point distance, and 2) angle from reference line.
At least three consecutive strides of each foot are included, if possible, but we'll take whatever we can get. Using laser sighting
equipment, this would only take several minutes.
A standard cut-out the size and shape of the girls shoe print (or footprint, if not wearing shoes) is chosen, which shows the heel-point and
the foot line. This cut-out is placed over each print, accurately as possible, and fastened.
I believe a practiced unit could set this up in under 5 min.
Now heel-point measurements are taken and recorded on a laptop.
For 3 strides each, that's fifteen measurements taken by two or three people. Start to finish, no more than 15 min. And, we're not taking
away from the tracker part of the search, they're still on the trail, but will lose it soon in this scenario. (Another type of measure would be
the distances from perpendicular horizontal and vertical lines. Either measurement could be used by the computer.)
If there was a computer program to do the plots and calculations, these are the only field measurements required. Let's assume we have
the program already. I'd like to leave the discussion of the measures the computer would use for the section on the development of the
computer program. It's actually a bit involved, and would only confuse this issue. But, it's ultimately only simple plotting and standard
measurements. Getting a good, graphical user interface will be the hardest part of that program.
Now, we race to the tracker unit, to be ready when needed. They're in the middle of the field, and have lost the trail. The last tracks
suggested the girl had turned around in the field several times, then headed off in the wrong direction.
But, then nothing.
We come in. The trackers tell us (or we observe) that the girls last tracks didn't show unusual signs of stress, injury, etc. so we go with
whatever standard input is needed for a girl of that age and size, etc. Stress factors, etc. The previous measurements and any physical
data were used by the computer program to determine ranges of possible values for straddle length, step length, foot angle and foot offset
for each step, and uses iteration to further narrow the potential error.
It produces a step model, using the real measurements, and displays it to help us visualize (but, we don't have to see it). The step model is
kept in a log, and the step models from each new data input are kept and compared to help see injuries, or predict larger scale or periodic
patterns of deviation.
The program predicts that the girl will have an average 2.2 deg angular deviation per stride, to the left, under the input conditions. With
2.6 deg left from the left foot and 0.4 deg right from the right.
A topo map of the area has been input to the computer, and our current position marked. We input the start point, and the initial DOT of
the potential wander path start. The computer takes into account standard effects of grade on wander paths (from tables determined in the
lab, and by continuous field observation and measurement.) and puts a black line on the topo map for the most probable path, with areas
of different shades of gray around the line to indicate different levels of potential error. The tracker team fans out across the most
probable wander path, spanning a little farther than the areas of potential error, and look for sign to the entry point of the woods, then fan
out along the fringe.
The black line suggests the girl would leave the field, and enter the wooded section 65 deg to the left. The tracker team searches the
fringe with the suggested point of entry as the center point. It's 10 yds to the right side, but they find sign, but it was quicker than without
the calculated start point. I believe the method doesn't have to be 100% accurate in order to be very useful. The important thing is to be
as accurate as possible, while still having a useful, useable field system.
The girl's entry point into the woods is marked on the topo map. The computer keeps track of all points were sign is found, and the path
of any tracks are marked on the topo map. (Later, as many of the tracks as possible are examined and measured for post-rescue path
analysis.)
The saga could continue.
There are a series of prints, indicating the girl crossed the wooded section, starting in a certain direction. Trackers follow the trail about
30 yds, shows her gait is a bit erratic. But, then nothing again. The path deviation team comes in, determines new input, with the tracker
team's observations of the tracks and estimates of potential stresses, etc. This time, the tracker thinks the girl is getting tired, so we
increase the fatigue value to 8.
Also, the obstruction factor is changed from 2 to 7 for the density of the wooded area, and the ground moisture factor from 2 to 3.
We predict the path and exit point from the woods, and the search for sign is started again. Etc., etc.
Whenever tracks are found, the PD team sets up a grid and takes measurements. The position of the tracks is marked on the topo map, so
the step model log can be related to location.
Trackers find another footprint. The position is marked on the topo map. Again, it's to the right of the predicted path, so we add a "field
deviation" factor, to try to account for currently unknown factors. When new potential paths are laid out, the computer shows both the
calculated path, with error estimate, as well as a blue path taking into account the observed field deviation factor.
At one point, the girl slides down a hill and loses her shoe. We get an idea of start point and direction from the trackers, input the new "no
right shoe" factor, and get another potential wander path.
At another, we hear what sounds like a highway, though is only wind in the leaves. One or two trackers go toward that sound to check
that possibility, while the rest stay on the calculated path.
You can see how it should be used as an integrated part of the greater search effort, rather than a stand alone method for finding lost
people. (It is a stand-alone method for understanding general walking asymmetries, with respect to distance and direction, though.) All
parts of tracking must work in concert.
And, the factors that are being input to the program were determined in the lab, but with constant adjustment for real world conditions,
when new information is available. This method would always be subject to refinement until we finally get something that works very
well.
Once the child is found, we start to go over what happened during the search. Since all the data is plotted on the topo map in the
computer, we start to go over it to try to understand the reason for the deviation from the calculated path, so we can better understand the
effects of various factors and refine error estimates. Maybe we go back into the field as well, and try to correlate deviations with larger
features, like scenery or smells.
Maybe a new factor could be discovered, since now it can be specifically investigated.
This new gait measurement system can be used to set up a database of walking characteristics, and will greatly aid in the evaluation of
potential path deviation patterns.
Finally, this system should have been created and adopted long ago, before 3D was possible, and before any detailed knowledge of
muscular control, forces, momentum, etc., well before video. It may be more difficult to introduce out of phase like this, but once it's
adopted it will allow, among many other things, the creation of a consistent and directly comparable world database of gait characteristics,
since the technical requirements are well defined, and relatively simple.