Kingman’s coalescent is a process which describes how ancestral lineages merge when one goes backward in time into the past. Since its introduction in the 80’s, it has become the standard genealogy model in population genetics. One of the main question in this field is to try to detect the trace of natural selection’s action in today’s genomes. One of the main tool for doing so is the celebrate...

Consider a continuous-time binary branching process conditioned to have population size n at some time t , and with a chance p for recording each extinct individual in the process. Within the family tree of this process, we consider the smallest subtree containing the genealogy of the extant individuals together with the genealogy of the recorded extinct individuals. We introduce a novel repres...

This working paper – like its companion, Caldwell and Klausinger 2021 grew out of the authors’ joint work on Hayek: A Life, 1899–1950 (Caldwell 2022) it contains material supplementing it. draws to a large extent Friedrich Hayek’s own investigations into genealogical roots his family. On paternal side family ancestry is traced back ennoblement Friedrich’s great-great-grandfather Josef Hayek in ...