This may be unimportant for your project. A bit tired. My last post should really have discussed the "relationship" between alpha and beta angles instead of ratio.
An avalanche path has a starting zone, track, and runout. In theory, an avalanche atlas ( a map of slide paths ) should accurately map the starting zone, track, and runout ( along with other parameters such as aspect, elevation of starting zone, and a profile of the path ). Sometimes it's easy to determine the spatial boundaries of the starting zone, track, and runout zone. Sometimes it's very difficult.
If you want to make an avalanche atlas, you're faced with determining the spatial boundaries of the path, including maximum runout for large events that may have a very long return period. ( 1:100. This doesn't literally mean the avalanche returns every hundred years, it means the probability of the maximum event is expressed as 1 chance out of 100 for each year. )
In the past, dynamics models ( after Voellmy ) were used to try and figure out the maximum lower boundary of the path. However most of this work has been discounted. Modern avalanche dynamics models are focused more on granular flows. But forget about that for a moment.
Empirical, statistical methods are more popular these days, especially with the risk management aspect of avalanche hazard mapping. Anyway, the beta angle is the angle between the starting zone and the first ten degree slope in the runout zone. The alpha angle is angle between the furthest known runout distance and the starting zone. Finding the beta angle for any avalanche path is relatively easy. Simply find the first ten degree slope in the runout zone and measure the slope angle from that point ( following a straight line ) to the top of the starting zone.
So how do you determine alpha? It's much more difficult. Often field surveys are used in which vegetation is analysed and possibly the area around the runout zone is examined for damaged vegetation, pseudo-moraines, rocks embedded in trees or rocks found in other unusual places, and other signs of avalanche activity such as flow signatures in soil or on tree trunks. People have been known to take core samples from trees and look for reaction wood that indicates a tree was struck by an avalanche. Simple and complicated. Time consuming as well.
In some mountain ranges there is a relationship between the alpha and beta angles for many of the avalanche paths. I'm not sure that any such number has been determined for the Cascades. But ... If you know the beta angle, it is theoretically simple to use a regression equation to determine the alpha angle. Then you can find the maximum runout distance for large events. With this information in hand, you can create an accurate map of the avalanche path. You should look at Donna Delparte's paper:
http://www.ucalgary.ca/asarc/publica...uthor/Delparte and the filename is: DelparteThesis_AvTerrainModelling.pdf. I'm sure you'll find her work quite fascinating.
There are other complications with constructing avalanche atlases. First and foremost, you have to understand terrain and geography fairly well because an avalanche path isn't necessarily simple. There are alpine paths, sub-alpine paths, channelized paths, and open paths. Sometimes avalanche paths have very nice trim lines and sometimes not. Starting zone and track are sometimes relatively easy to determine for sub-alpine paths. It just depends - starting zone geometry can be awfully complicated as well. Alpine avalanche paths often have no visible boundaries and can be very difficult to sort out.
Also keep in mind, avalanches aren't always neat confined by drainages, and dry flowing avalanches in particular often travel wherever the day takes them. Over ridges, over large obstacles, etc. The unpredictable behaviour of dry flowing avalanches sometimes makes the concept of an avalanche path a bit less important. It's very important to remember than an avalanche path only shows you where avalanches have run in the *past*. However, with avalanches, sometimes past behaviour is a good indicator of future behaviour, at least in some paths.
So for fun, you can remember that most avalanches do not run full path but an avalanche atlas should describe the full path.
Try this link for more information on avalanche atlases:
http://www.wsdot.wa.gov/Research/Reports/000/008.8.htm
Bookmarks