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ON POPULATION GROWTH IN A RANDOMLY VARYING ENVIRONMENT
Open accessAbstract
If a population is growing in a randomly varying environment, such that the finite rate of increase per generation is a random variable with no serial autocorrelation, the logarithm of population size at any time t is normally distributed. Even though the expectation of population size may grow infinitely large with time, the probability of extinction may approach unity, owing to the difference between the geometric and arithmetic mean growth rates.
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Citations
Cited by
Lande, R. (1993) · The American Naturalist · doi:10.1086/285580 · Cited by 2,143
Stephens, P. A., Sutherland, W. J., & Freckleton, R. P. (1999) · Oikos · doi:10.2307/3547011 · Cited by 1,379
RISK-SPREADING AND BET-HEDGING IN INSECT POPULATION BIOLOGY
Hopper, K. R. (1999) · Annual Review of Entomology · doi:10.1146/annurev.ento.44.1.535 · Cited by 470
Stability in Randomly Fluctuating Versus Deterministic Environments
May, R. M. (1973) · The American Naturalist · doi:10.1086/282863 · Cited by 353
Synonymous mutations in representative yeast genes are mostly strongly non-neutral
Shen, X., Song, S., Li, C., & Zhang, J. (2022) · Nature · doi:10.1038/s41586-022-04823-w · Cited by 298
Metadata
- Authors
- Lewontin, R. C., & Cohen, D.
- Venue
- Proceedings of the National Academy of Sciences
- Published
- 1969-04
- Volume
- 62
- Issue
- 4
- Pages
- 1056-1060
- ISSN
- 0027-8424 (ISSN-L)
- 1091-6490
- OpenAlex
- W2087443216
- Cited by
- 737
- References
- 0
- FWCI
- 4.64
- Type
- journal article
- Language
- en
- Open access
- green
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- CoChat. (2026). Citation check: ON POPULATION GROWTH IN A RANDOMLY VARYING ENVIRONMENT. https://app.cochat.ai/papers/10.1073/pnas.62.4.1056
- The paper
- Lewontin, R. C., & Cohen, D. (1969). ON POPULATION GROWTH IN A RANDOMLY VARYING ENVIRONMENT. Proceedings of the National Academy of Sciences. https://doi.org/10.1073/pnas.62.4.1056
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Bibliographic data: Semantic Scholar, OpenAlex, Crossref.
Contains information from the Semantic Scholar Academic Graph Datasets, made available under the ODC Attribution License (ODC-BY 1.0).
Semantic Scholar’s data is described in: Kinney, R., et al. (2023). The Semantic Scholar Open Data Platform. arXiv:2301.10140.