The Ant Hill Mob
Most of us have, at some
time, watched with fascination as a group of ants work together to bring food
back to their nest. We have observed how the 'scout' ant heads the search,
leaving behind a faint trail of pheromones for its companions to follow,
strengthening the trail with their own pheromones. Although the scout moves
randomly, somehow the other ants seem to collectively 'know' the shortest path.
How is this so? Mathematicians and physicists have been researching this
problem.
The consensus view is that
ants follow the straightest path by means of a sequence of successive
improvements. The random path taken by the scout is made more efficient by the
secondary wave of ants. There is evidence from computer simulations that ants
that are forced to change direction sharply either perform a U-turn or keep
going but lay down less pheromone. If this is the case, it is easy to see that
there will be a gradual build-up of pheromone on the straighter tracks
for successive waves of ants to follow.
Physicist Richard
Feynman's explanation is similar. He believes that ants trying to follow
the original path tend to overshoot at corners and wander off randomly until
they meet the path again. The overall outcome of this is that sharp bends are
eliminated and pheromone accumulates on the straightest course.
Mathematician Alfred
Bruckstein of Technion University in Haifa, Israel, set up a particular method
of Feynman's concept and proved that as ants follow each other, their paths
become straighter and straighter. His theorem is based on consideration of the
angles that each ant turns at a given time. As the number of trips
grows, the angle tends towards zero, meaning that the path becomes ever more
straight.
A similar phenomenon occurs
if ants are given the choice of two routes to the same food source: they
will gradually tend towards the shorter one. The pheromone trail will become
stronger here as these ants are able to make more trips than their counterparts
on the other trail, and ultimately all the ants will switch trails. Zoologist
Dr Simon Goss finds the collective behaviour of the ants intriguing: 'No ant
has compared the two trails, but collectively they've used a very simple rule
and they've used positive feedback.'
These elegant
explanations of collective behaviour may have implications for other forms of
animal behaviour, such as the flocking of birds or movements of shoals of fish.
All of these seemingly collective actions may arise simply from the combination
of simple rules followed by each individual.
Issue 2: Contents
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