Positive
Feedback and Ewe

We often take our walks along the slopes of Benevenagh.
Pleasant paths lead past sheep infested pastures, cool forests and
green fields. There are some great views and fascinating wild flowers.
Mind you, I forgot to mention howling storms, lashing rain and meter
deep snowdrifts. But don't get frightened away: This tale happened on a
pleasant sunny day. We drove up from the valley and even from a
distance we could see that there was something wrong with the sheep on
one of the fields.
Around here, when a farmer puts his ewes into a field he
first has a quiet word with them: "Eat grass - or else!" The sheep take
this advice very seriously and generally spread out evenly all over the
width of field and eat their way on a united front from one side to the
other. This only stops when it gets dark, though on moonlit nights I
have seen them chomping grass till well past midnight.
We noticed that the sheep on that particular field
behaved very strangely indeed: they were all bunched up on one side of
the field and none of them was eating. At first we thought that a dog
might be holding them, but as we got closer we saw no dog except ours -
and he watched in as much amazement as we did.
There were thirty sheep in the field. Twenty-nine of
them formed a flock to one side; they were all watching a single sheep
about ten or so yards away. All thirty circulated around the field in
an anti-clockwise direction, and slowly increased their speed. Now!
Sheep are fairly silly animals at the best of times, but I have never
seen them behave in this strange manner before. We watched for about 15
minutes, in which time the animals had circled the large field two or
three times, when suddenly I noticed that there was something strange
about that lone ewe - and suddenly I understood what was happening.
The land on Benevenagh lacks certain minerals which the
farmers supply in large buckets containing a substance which the sheep
lick with great gusto. Often these buckets get left behind or blow in
from other fields.
This is what must have happened.
Ewe Number Thirty spotted an empty bucket and thought to
herself: "Yummy!" She stuck her head into the bucket but found that the
container was empty. Frustrated in her search for rare minerals she
raised her head and looked for some grass instead.
Unfortunately her horns had passed underneath the thin
metal handle and as she straightened up, she noticed that the bucket
followed her and hung around her neck. This was not only frightening,
but stopped her from eating, because every time she tried to bend down
to reach the grass, the bucket got in the way.
There is a phenomenon in electronics known as 'positive
feedback'. If you hold a microphone too close to a loudspeaker it will
pick up the sound, this gets amplified and the sound gets louder, the
louder sound gets picked up and is amplified again until the system
oscillates in a loud and penetrating screech (often more musical than
the impending performance). I used to teach electronics and am
therefore familiar with the principle, but I never knew that farmers
also have to know all about positive feedback, because this was the
explanation of the strange circular dance.
What was Number Thirty to do? She was in great distress and decided to
join the others. After all, when you are a sheep you know that there is
comfort in numbers. Number One through to Number Twenty nine weren't so
sure and didn't like the looks of Number Thirty - because of that great
big dirty bucket dangling from her neck. They all decided instantly to
get out of the way of this dangerous looking apparition as fast and as
far as possible. When Number Thirty saw them all move away she baahed:
"Wait for me!" and followed them sightly faster in order to catch up.
The others now felt even more threatened and moved away from our lone
ewe at a slightly increased speed. This of course forced Number Thirty
to move faster still, which forced the others to speed up, which caused
Number Thirty to speed up - and so on and on.
This process can't continue indefinitely, of course. If
it did, many of our fields would be filled with sheep rotating at a
speed approaching the velocity of light.
After some time natural damping occurs and the animals
settle on a rotational speed which presumably is based on the natural
harmonic frequency of ewes, the roughness of the ground, the colour of
the bucket and the level of fear obtainable on a sunny day in Ulster,
possibly many additional factors. I would never have believed that
farming is so complicated!
None of the animals got anything to eat and the
scientist in me was toying with the idea of watching them for a few
days to see if the inevitable weight loss would increase or decrease
the rate of rotation. Tudor, at any rate, had never seen anything like
it and watched with great interest and possibly an even greater
understanding.
However; it all ended happily. I was persuaded that to
wait any longer would be cruel and so we went off to tell the farmer
what was happening. I had great difficulty explaining all this and I
don't think he believed me at first because he gave me a very
old-fashioned look, but he went up on to the mountain just the same and
removed the bucket - and the resultant forced damping effect brought it
all to a natural halt.
And they all ate grass happily ever after.
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