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Question
some populations experience large growth and then they die for no known reason. these populations seem to have no observable pattern in their growth/die - off. what type of population growth is this? irregular stable
The problem is about population growth patterns. An irregular population growth pattern is characterized by no observable, consistent pattern in growth or die - off, which matches the description in the question. A stable growth pattern would have a more consistent and predictable pattern, so it does not fit.
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Irregular