There was a group of 32 ducks, and the two food patches were of equal quality. W

Question

There was a group of 32 ducks, and the two food patches were of equal quality. We assumed that all ducks were equal competitors and found that at equilibrium, on average, 16 ducks were found at each of the two food patches. Let’s modify that example with a thought experiment. Suppose that we again have two patches of food of equal value and a group of 32 ducks that will distribute themselves between these two patches. But now imagine that one of these ducks is an especially good forager and can obtain 5 times as much food as any of the other ducks. Let’s denote that duck as a “super forager.” Assume the other 31 ducks are not super foragers and are equal to one another in terms of foraging ability.When the ducks settle at an equilibrium distribution, how many ducks do we expect to be at the food patch where the super forager is, and how many ducks do we expect to be at the other food patch?  Why do you expect this distribution?

Explanation / Answer

In the new situation the 'super forager duck' is able to eat 5 times than the normal duck.

total number of ducks is 32

take out the good forager duck, now remaining are 31

capacity of total ducks= 31+ 5(of super forager) ---->36

distribution of the capacities is =18+18

So, one side ---> super forager duck's capacity +normal ducks's total capacities should be 18

which equals to ---> (1(5)+13) = total 14 ducks

other side ----> all normal capacity having ducks. 18 ducks

So, one side 1 super forager duck and 13 normal ducks -----> A total of 14 ducks

and other side all 18 normal ducks -------> A total of 18 ducks.

must be distributed.

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