On population growth in a randomly varying environment. Lewontin, R. C. & Cohen, D. *Proceedings of the National Academy of Sciences*, 62(4):1056–1060, April, 1969. Publisher: Proceedings of the National Academy of SciencesPaper doi abstract bibtex 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.

@article{lewontin_population_1969,
title = {On population growth in a randomly varying environment},
volume = {62},
url = {https://www.pnas.org/doi/10.1073/pnas.62.4.1056},
doi = {10.1073/pnas.62.4.1056},
abstract = {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.},
number = {4},
urldate = {2023-03-14},
journal = {Proceedings of the National Academy of Sciences},
author = {Lewontin, R. C. and Cohen, D.},
month = apr,
year = {1969},
note = {Publisher: Proceedings of the National Academy of Sciences},
keywords = {⛔ No INSPIRE recid found},
pages = {1056--1060},
file = {Full Text PDF:C\:\\Users\\matth\\Zotero\\storage\\H7S6AKE8\\Lewontin and Cohen - 1969 - On population growth in a randomly varying environ.pdf:application/pdf},
}

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