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Sierra Samaritans - National Ski Patrol

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avalanche & mountaineering<br />

table 2<br />

Probabilities of detection calculated for a<br />

first pass of various probe lines calculated<br />

by PROBE.<br />

Probe grid (cm) PROBE POD on first pass<br />

30x30 99.9%<br />

40x40 97%<br />

50x50 88%<br />

60x60 75%<br />

70x70 63%<br />

80x80 51%<br />

75x70 59%<br />

❚ CONTINUED FROM PAGE 45<br />

possible locations, we did our best to<br />

model a body as it might rest in all variations<br />

in the wake of an avalanche. The<br />

PROBE program generates a set of overlapping<br />

spheres to model the torso and<br />

limbs of a buried body in random orientation<br />

with consideration for the natural<br />

range of the movement of the limbs.<br />

Using averages, the victim modeled in the<br />

program is 175 cm in height and consists<br />

of about 950 spheres.<br />

After developing the model of the victim’s<br />

body, we had the computer generate<br />

a model of a snowfield and provide coordinates<br />

and dimensions for a body buried<br />

in that field. The computer was then<br />

instructed to choose a random starting<br />

point from which to begin a search for the<br />

“victim.” With the grid predetermined<br />

and held consistent at 75 by 70 cm and the<br />

victim’s location established, the program<br />

conducted a probe search across the grid<br />

until the victim was found or until the<br />

probing had clearly missed finding the<br />

body on the first pass.<br />

To test the validity of several variations<br />

of the shape and size of the target, the programmers<br />

ran 10,000 probing trials on the<br />

computer. That is, the program ran 10<br />

random starting points for probe searches<br />

for 1,000 separate victims. As shown in<br />

table 1, this model gives an even lower<br />

POD for the 75 by 70 cm grid (except in<br />

cases of vertical body orientation).<br />

We were not just interested in understanding<br />

past results and unexpected<br />

failures. We wanted to find a probing<br />

table 3<br />

table 4<br />

Expected time to discovery for various probing grids<br />

GRID DESCRIPTION (CM), HPS = HOLES PER STEP<br />

30 by 30 3HPS<br />

40 by 40 3HPS<br />

50 by 50 3HPS<br />

70 by 70 2HPS<br />

70 by 75 2HPS<br />

80 by 80 2HPS<br />

60 by 60 3HPS<br />

technique we can recommend and teach<br />

that will yield higher POD percentages<br />

for various target areas, so we started by<br />

collecting more statistics.<br />

EXPECTED TIME UNTIL<br />

DISCOVERY<br />

If first-pass POD percentages were the sole<br />

criteria for devising a probing strategy,<br />

searchers would obviously always use a 30-<br />

by 30-cm fine probe (table 2). The 99.9<br />

percent POD offers some level of assurance<br />

that the victim will be found. But at<br />

what cost? Such a time-consuming grid<br />

search would never be warranted if<br />

searchers hoped to rescue a live avalanche<br />

victim (table 3).<br />

But even when probe lines are used for<br />

recovery rather than rescue operations<br />

some thought must be given to the speed<br />

of the search in terms of the morale and<br />

well-being of the search team. Some past<br />

studies determined probing efficiency by<br />

calculating probes per area per second, but<br />

we chose instead to calculate the time it<br />

would take to find a victim by simulating<br />

how probe lines actually work.<br />

0 50 100 150 200 250 300<br />

EXPECTED TIME TO DISCOVERY (MINUTES)<br />

Comparison of several statistics for several grid sizes. (Percentages are plus or minus 1 percent.)<br />

% FOUND ON VARIOUS PASSES<br />

Technique 1st 2nd 3 or more Time per pass Average passes ETD (min.)<br />

30 cm sq. 99.9% 0.1% 0% 487 min. 0.50 244<br />

40 cm sq. 97% 2.8% 0.04% 274 min. 0.53 144<br />

50 cm sq. 88% 12.1% 0.8% 175 min. 0.64 112<br />

60 cm sq. 74% 20.8% 4.4% 122 min. 0.83 100<br />

Trad. 70x75 60% 26.5% 13.6% 96 min. 1.15 111<br />

To determine the expected time to discovery<br />

(ETD) for each size grid, our calculations<br />

called for a 20-person probe line<br />

inside a space of 10,000 square meters<br />

(1 hectare). We also used an estimate of 3.7<br />

seconds per probe, 4.4 seconds per step, a<br />

descent speed (i.e., the rate at which rescuers<br />

return to the bottom of the debris<br />

field for the second pass) of 1 second per<br />

meter, and 60 seconds for reorganization.<br />

We did our best to keep the numbers reasonable<br />

and consistent across the various<br />

trials (again, see table 3).<br />

After the first pass, we had to define<br />

what we needed to do in order to keep<br />

probing until the body was found. To<br />

maximize the probability of finding the<br />

body, the probe coordinates for the second<br />

pass were offset from the first by half<br />

of the grid dimensions. That is, after covering<br />

the standard 70 cm by 75 cm grid,<br />

the second pass was offset by 35 cm up the<br />

hill and 37.5 cm laterally for each probe<br />

step. Thus the probe holes of the second<br />

pass were exactly halfway between the<br />

holes left by the first pass.<br />

CONTINUED ON PAGE 72<br />

46 <strong>Ski</strong> <strong>Patrol</strong> Magazine | Winter 2005

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