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The Lotka-Euler equation is a mathematical expression used to study
population dynamics and growth, particularly in the context of demography and
ecology. The growth rate is the speed at which a population reproduce. It is
essentially a birth process, and here it is shown that by transforming the
process to a death process, in which individuals die at a rate $\lambda^{-1}$,
the derivation of the Lotka-Euler equation becomes more intuitive and direct,
both in discrete and continuous time. This approach will assist readers in
gaining a deeper understanding of the underlying principles behind the
Lotka-Euler equation.
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