The Genealogy of Branching Processes and the Age of Our Most Recent Common Ancestor
نویسنده
چکیده
We obtain a weak approximation for the reduced family tree in a near-critical Markov branching process when the time interval considered is long; we also extend Yaglom's theorem and the exponential law to this case. These results are then applied to the problem of estimating the age of our most recent common female ancestor, using mitochondria1 DNA sequences taken from a sample of contemporary humans. REDUCED BRANCHING PROCESS; NEAR-CRITICAL; YAGLOM'S THEOREM; EXPONENTIAL LIMIT LAW; MlTOCHONDRlAL DNA; EVE; EVOLUTION; MUTATION AMS 1991 SUBJECT CLASSIFICATION: PRIMARY 60J8O SECONDARY 60J85, 92A10, 92A15
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