%0 Journal Article %1 jagers1991great %A Jagers, Peter %A Nerman, Olle %A Taib, Ziad %D 1991 %I Institute of Mathematical Statistics %J Lecture Notes-Monograph Series %K branching_processes genealogies %P pp. 118-126 %T When Did Joe's Great... Grandfather Live? Or: On the Time Scale of Evolution %U http://www.jstor.org/stable/4355650 %V 18 %X In a general supercritical branching process the distribution is found of the time back to the birth of the n:th father of a random individual. For single-type processes a probability of mutation (at a site of a specified gene) is introduced. With the infinite alleles interpretation that every mutation occurring is unique the class of individuals with the same allele can be viewed as a generalized "macroindividual". Thereby the question of when the first of a series of n mutations occurred is reduced to finding the birth time of the n:th father in the process of macroindividuals. This is done.

@article{jagers1991great, abstract = {In a general supercritical branching process the distribution is found of the time back to the birth of the n:th father of a random individual. For single-type processes a probability of mutation (at a site of a specified gene) is introduced. With the infinite alleles interpretation that every mutation occurring is unique the class of individuals with the same allele can be viewed as a generalized "macroindividual". Thereby the question of when the first of a series of n mutations occurred is reduced to finding the birth time of the n:th father in the process of macroindividuals. This is done.}, added-at = {2012-04-30T05:38:28.000+0200}, author = {Jagers, Peter and Nerman, Olle and Taib, Ziad}, biburl = {https://www.bibsonomy.org/bibtex/296eb17f8d30533ba7d7efa991469de11/peter.ralph}, copyright = {Copyright © 1991 Institute of Mathematical Statistics}, interhash = {63c63f3df3bab6f2e25c918ca79b93c9}, intrahash = {96eb17f8d30533ba7d7efa991469de11}, issn = {07492170}, journal = {Lecture Notes-Monograph Series}, jstor_articletype = {research-article}, jstor_formatteddate = {1991}, jstor_issuetitle = {Selected Proceedings of the Sheffield Symposium on Applied Probability}, keywords = {branching_processes genealogies}, language = {English}, pages = {pp. 118-126}, publisher = {Institute of Mathematical Statistics}, timestamp = {2012-04-30T05:39:13.000+0200}, title = {When Did Joe's Great... Grandfather Live? Or: On the Time Scale of Evolution}, url = {http://www.jstor.org/stable/4355650}, volume = 18, year = 1991 }