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.
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