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.
%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
}