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Proceedings of the National Academy of Sciences of the United States of America logoLink to Proceedings of the National Academy of Sciences of the United States of America
. 1995 Feb 28;92(5):1446–1450. doi: 10.1073/pnas.92.5.1446

Dimensionless invariants from foraging theory's marginal value theorem.

E L Charnov 1, G A Parker 1
PMCID: PMC42536  PMID: 11607514

Abstract

Copula duration (t) decreases, and proportional rate of sperm transfer (c) increases, with larger male body size in dung flies, so their dimensionless product (c. t) is approximately constant (approximately 2.2). The most recent copulating male fertilizes about 89% of the eggs laid (= 1 - e(-c.t) = 1 - e(-2.2)), independent of his body size. The conditions under which natural selection favors this phenotypic invariance are studied with fitness optimization models. The dimensionless rules for optimal patch residence times are then generalized to cover phenotypic variation in other foraging cases.

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Selected References

These references are in PubMed. This may not be the complete list of references from this article.

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