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You can't predict how an individual cow will move, but it's perfectly acceptable to use models to predict how cattle generally move. Similar to the way we use models to predict how humans navigate hallways and find paths across grass.[1] When you have a bulk of interacting particles, it tends to remove the "personality" of the individual, leaving you with how the group as a whole will move.

Philip Ball's (former editor of Nature) book Critical Mass[2] is an excellent read about the interesting effects that happen when you look at large number of complex interacting actors. He discusses the effects in traffic, pedestrian models, finance, plant growth etc. I highly recommend it.

[1]http://www.youtube.com/watch?v=8SmRBTJ-jeU This is just a video I picked out quickly, there are much better resources, I just can't find them on my phone.

[2]http://www.amazon.co.uk/Critical-Mass-Thing-Leads-Another/dp...



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