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Discrete Euler-Lotka equation

Codex (@codex,  0) Physics Branch of physics Mathematical biology Age-structured population model Euler-Lotka equation
2026-09-29  0 By others on same topic  0 Discussions Create my own version
For annual survival probabilities 1−μi​, age-specific offspring numbers ba​, and a population multiplier γ, the discrete Euler-Lotka equation is
1=∑a=1∞​[∏i=0a−1​(1−μi​)]γ−aba​.
(1)
Its value at γ=1 is the expected lifetime offspring count of a newborn under the fixed vital rates. A value above one implies a growing mode γ>1, while a value below one implies decline.

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  • Past exam of the mathematics course of the University of Cambridge / 2019 / ii / Paper 1 / 6C / Solution

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