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Theoretical Ecology Seminar from the IITE (https://iite.info) by Robin Snyder. Recorded 26th Mar 2024. Abstract: In many species, a few individuals produce most of the next generation. How much of this reproductive skew is driven by variation among individuals in fixed traits, how much by external factors, and how much by random chance? And what does it take to have truly exceptional lifetime reproductive output (LRO)? Here we explain how to partition LRO skewness itself into contributions from fixed trait variation; four forms of “demographic luck” (birth state, fecundity luck, survival trajectory luck, and growth trajectory luck); and two kinds of “environmental luck” (birth environment, and environment trajectory). Each of these is further partitioned into contributions at different ages. We also determine what we can infer about individuals with exceptional LRO.