论随机变化环境中的种群增长
On population growth in a randomly varying environment.
作者信息
Lewontin R C, Cohen D
出版信息
Proc Natl Acad Sci U S A. 1969 Apr;62(4):1056-60. 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.
摘要
如果一个种群在随机变化的环境中增长，使得每代的有限增长率是一个无序列自相关的随机变量，那么在任何时刻t种群大小的对数呈正态分布。尽管种群大小的期望值可能会随时间无限增大，但由于几何平均增长率和算术平均增长率之间的差异，灭绝概率可能趋近于1。
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