"In some wild deer populations, selection by human favours the survival of smaller males, since large bucks are preferentially hunted." --- In these populations, will mutations for small size occur more often than large size?
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Mutations tend to be random. At least, that's what I've learned. So no.
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If larger bucks are killed more often, it is likely that smaller ones will become more dominate, but that isn't really mutation.
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no but they change their adaptation toward human