I've recently come across an equation for the expected mean number of breeding seasons after the first breeding season, as a function of the annual survival rate (S) and the probability of breeding,
$$ \mathbb{E}(\#\text{ of breeding seasons}) = \dfrac{1}{-\ln(S)} \times \text{breeding probability} $$
I'm having a hard time understanding what the term $1 / -\ln(S)$ represents. Any ideas?