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I did a little research and I think it works like that: Collect a dataset of $n$ observations. Fit a parametric model to your data. If you want to model the recaptures, I would suggest a Poisson-GLM. You can also estimate the parameter directly from your data and simply parametrize a Poisson distribution. However, this approach would not model the random ...


I think Lenski's evolutionary long-term experiment should be a good example, without being familiar with Luria & Delbrück (1943). There they use replicated populations of E-coli to study (among other things) the "repeatability" (historical contingency) of evolutionary changes. Nice overviews of the project are given in Blount et al. (2008) and Philippe ...

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