Abstract:
:By incorporating a population number regulating mechanism into the formulation of genic selection involving a pair of alleles (A1 and A2) with respective frequencies x and I-x, it is shown that the change of x in one generation is given by deltax = sx(1-x)/W, in which W is the mean absolute selective value (in Wright's sense). It is also shown that, in the process in which advantageous allele (say A1) increases from a low frequency to a high frequency, quasi-equilibrium is rapidly attained where deltaW approximately 0. In this state we have W approximately 1 + (s2/c)x(1-x) in the case of logarithmic population number regulation, and W approximately 1 + s2x(1-x)/(cN) in the case of logistic regulation. In these expressions, s is the selective advantage of A1 over A2, and c is a coefficient relating to the total population number regulation. It is pointed out that the approximation formula deltax = sx(1-x) is valid under wider circumstances than usually suggested by the conventional treatment of genic selection.
journal_name
Proc Natl Acad Sci U S Aauthors
Kimura Mdoi
10.1073/pnas.75.4.1934subject
Has Abstractpub_date
1978-04-01 00:00:00pages
1934-7issue
4eissn
0027-8424issn
1091-6490journal_volume
75pub_type
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