2020
DOI: 10.1111/ele.13467
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Skewed distributions of lifetime reproductive success: beyond mean and variance

Abstract: Lifetime reproductive performance is quantified here by the LRS (lifetime reproductive success), the random number of offspring an individual produces over its lifetime. Many field studies find that distributions of LRS among individuals are non‐normal, zero‐inflated and highly skewed. These results beg the question, what is the distribution of LRS predicted by demographic models when the only source of randomness is demographic stochasticity? Here we present the first exact analysis of the probability distrib… Show more

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Cited by 40 publications
(87 citation statements)
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“…We used the LRS probability distribution to calculate the Gini index, a measure of the inequality of LRS between individuals. A Gini index close to zero indicates similar probabilities of producing each LRS, while a Gini index close to one means that there is a wide variation in the probability of producing a certain LRS and is what we expect for a highly skewed LRS distribution (Tuljapurkar et al, 2020).…”
Section: Methodsmentioning
confidence: 60%
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“…We used the LRS probability distribution to calculate the Gini index, a measure of the inequality of LRS between individuals. A Gini index close to zero indicates similar probabilities of producing each LRS, while a Gini index close to one means that there is a wide variation in the probability of producing a certain LRS and is what we expect for a highly skewed LRS distribution (Tuljapurkar et al, 2020).…”
Section: Methodsmentioning
confidence: 60%
“…The observed (black bars), simulated (white bars) and theoretical (red line) distributions of lifetime reproductive success (LRS) for both females (left) and males (right). The theoretical LRS distribution was obtained by summing the probability values of the possible LRS in each LRS bin from the LRS probability distribution, calculated with the methods from Tuljapurkar et al (2020) and assuming an immature survival of one. For both the simulated and theoretical LRS distribution we used the same population parameters for each individual (no fixed heterogeneity).…”
Section: Resultsmentioning
confidence: 99%
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“…To this day, fitness is defined in different and even inconsistent ways. [1][2][3][4][5][6][7][8][9][10][11][12][13][14][15] In light of this, it is not at all uncommon for prominent evolutionary biologists to concede that "Unfortunately, fitness is difficult to define more specifically so that it can be measured and understood more clearly." [16] Routine concessions like this suggest that little has changed since Stephen Stearns proposed the following satirical definition: "Fitness: something that everyone understands but no one can define precisely."…”
Section: Introductionmentioning
confidence: 99%