2010
DOI: 10.1098/rsbl.2010.0452
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The May threshold and life-history allometry

Abstract: One of Robert May's classic results was finding that population dynamics become chaotic when the average lifetime rate of reproduction exceeds a certain value. Populations whose reproductive rates exceed this May threshold probably become extinct. The May threshold in each case depends upon the shape of the density-dependence curve, which differs among models of population growth. However, species of different sizes and generation times that share a roughly similar density-dependence cu… Show more

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Cited by 14 publications
(12 citation statements)
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“…We appeal to theoreticians to precisely describe the scope of applicability of their models, especially from the point of view of DD. For empirically oriented ecologists, it is extremely important to study DD in natural populations, as the precise form of DD is rarely known (Ginzburg et al 2010 ). Such research was common in the 1960s, but mostly abandoned later.…”
Section: Discussionmentioning
confidence: 99%
“…We appeal to theoreticians to precisely describe the scope of applicability of their models, especially from the point of view of DD. For empirically oriented ecologists, it is extremely important to study DD in natural populations, as the precise form of DD is rarely known (Ginzburg et al 2010 ). Such research was common in the 1960s, but mostly abandoned later.…”
Section: Discussionmentioning
confidence: 99%
“…1). Given that increased temporal variability may lead to increased probability of extinction, over time only species with reproductive rates in a constrained range may have persisted (27,28). However, the mechanisms underlying such extinction dynamics remain highly debated (28).…”
Section: Discussionmentioning
confidence: 99%
“…Systemic selection can be a powerful yet simple explanation of many ecological patterns, including ecological allometries, species interaction strengths, food-web metrics, and macroevolutionary patterns (e.g., [5,6]). This intellectual protocol for understanding ecological patterns has long been implicit in community ecology [7,8], but recent advances in theory suggest that it is time to make this principle more explicit and formal.…”
Section: Glossarymentioning
confidence: 99%