Population abundance time series are always noisy but frequently conceal rhythmic patterns. In this talk, we will explore some of these patterns in systems for which a very strong link exists between mathematical models and data. I will begin by discussing the dynamics of "chaotic" laboratory insect populations with a view to general principles they reveal. I then ask what our experience with such laboratory systems tells us about the prospects for quantitative predictions in population ecology more generally. I will attempt throughout to draw attention to unanswered questions and areas of active research.
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