Cyclic number: Difference between revisions

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en>Arthur Rubin
Properties of cyclic numbers: replace "base-1" with a more mathematically correct version
en>Arthur Rubin
Undid revision 640419372 by 38.112.155.163 (talk) questionable change
 
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{{No footnotes|date=April 2009}}
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The '''mutation–selection balance''' is a classic result in [[population genetics]]
first derived in the 1920s by [[John Burdon Sanderson Haldane]] and [[Ronald Fisher|R.A. Fisher]].
 
A genetic variant that is deleterious will not necessarily disappear immediately from a  
population. Its frequency, when it first appears in a population of N individuals, will
be 1/N (or 1/2N in a [[diploid]] population), and this frequency might drift up and down a
bit before returning to zero. If the population is large enough, or if the [[mutation]]
rate <math>\mu</math> is high enough, i.e., if <math>\mu*N</math> is high enough, then one has to consider additional
mutations.  In a hypothetical infinite population, the frequency will never return to
zero.  Instead, it will reach an equilibrium value that reflects the balance between
mutation (pushing the frequency upward) and [[selection]] (pushing it downward), thus
the name ''mutation–selection balance''.
 
If 's' is the deleterious selection coefficient (the decrease in relative fitness), then the equilibrium frequency 'f' of an [[allele]] in mutation–selection balance is approximately <math>f = \mu/s</math> in [[haploid]]s, or for the case of a dominant allele in diploids. For a recessive allele in
a diploid population, <math>f = \sqrt{\mu \over{s}}</math>.  A useful approximation for
alleles of intermediate dominance is that f ~ <math>\mu/(sh)</math>, where h is the coefficient of
dominance. These formulae are all approximate because
they ignore back-mutation, typically a trivial effect. 
 
The mutation–selection balance has the practical use of allowing estimates of
mutation rates from data on deleterious alleles (see examples on pp.&nbsp;85–89 of Crow, 1986). 
For population geneticists, it provides a simple model for thinking about how
variation persists in natural populations.
 
== External links ==
* http://www.blackwellpublishing.com/ridley/a-z/Mutation-selection_balance.asp
* J. F. Crow (1986). ''Basic concepts in population, quantitative, and evolutionary genetics''. New York: W.H. Freeman. p.&nbsp;273.
 
{{DEFAULTSORT:Mutation-selection balance}}
[[Category:Mutation]]
[[Category:Selection]]

Latest revision as of 22:30, 31 December 2014

Greetings! I am Myrtle Shroyer. My family life in Minnesota and my family members loves it. My working day job is a librarian. To do aerobics is a factor that I'm totally addicted to.

Feel free to visit my webpage: http://internetmarketingarcade.com