%0 Journal Article %1 felsenstein1971inbreeding %A Felsenstein, Joseph %D 1971 %K effective_population_size population_genetics %N 4 %P 581--597 %T Inbreeding and variance effective numbers in populations with overlapping generations %U https://www.genetics.org/content/68/4/581.short %V 68 %X The concept of effective population number originated with SEWALL WRIGHT (1931,1938). He and others have calculated effective population numbers for a variety of models of population reproduction. In particular, KIMURA and CROW (1963) have calculated the variance effective number for a population of constant size in which there are overlapping generations and age-dependent birth and death rates. NEI has presented (NEI and IMAIZUMI 1966) a different formula as a correction to KIMURA and CROW. In this paper, I will argue that the KIMURA & CROW formula is incorrect and the NEI formula is not precisely defined. I will derive equations for both inbreeding and variance effective numbers in models of population reproduction in which birth and death rates are age specific.

@article{felsenstein1971inbreeding, abstract = {The concept of effective population number originated with SEWALL WRIGHT (1931,1938). He and others have calculated effective population numbers for a variety of models of population reproduction. In particular, KIMURA and CROW (1963) have calculated the variance effective number for a population of constant size in which there are overlapping generations and age-dependent birth and death rates. NEI has presented (NEI and IMAIZUMI 1966) a different formula as a correction to KIMURA and CROW. In this paper, I will argue that the KIMURA & CROW formula is incorrect and the NEI formula is not precisely defined. I will derive equations for both inbreeding and variance effective numbers in models of population reproduction in which birth and death rates are age specific.}, added-at = {2020-05-15T06:15:17.000+0200}, author = {Felsenstein, Joseph}, biburl = {https://www.bibsonomy.org/bibtex/2615a02d7d3fa0ae01b47d25e0f267304/peter.ralph}, interhash = {94561e90b77a863b88ae4aeec1425a53}, intrahash = {615a02d7d3fa0ae01b47d25e0f267304}, keywords = {effective_population_size population_genetics}, number = 4, pages = {581--597}, timestamp = {2020-05-15T06:15:17.000+0200}, title = {Inbreeding and variance effective numbers in populations with overlapping generations }, url = {https://www.genetics.org/content/68/4/581.short}, volume = 68, year = 1971 }