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Abstract:
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Genetical recombination is a fundamental biological process, taking place in diploid cells during the formation of haploid gametes. The phenomenon of linkage was discovered in the second decade of the 20th century, and our understanding of its biological basis---recombination---has been developing ever since. R. A. Fisher made several contributions to the theory and practice of linkage and the stochastic modeling of recombination. In this lecture, I'll summarize the development of such models, from Fisher's to the present. The methods used range from renewal processes to stochastic point processes to Markov and hidden Markov chains, and the results are elegant models that don't quite fit the data. Interestingly, this has only marginal impact on their use.
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