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'''Quasi-linkage equilibrium (QLE)''' is a mathematical approximation used in solving population genetics problems.  [[Motoo Kimura]] introduced the notion to simplify a model of [[Fisher's fundamental theorem]].  QLE greatly simplifies population genetic equations while making the assumption of weak [[natural selection|selection]] and weak [[epistasis]].<ref  name="kimura">{{cite journal|last=Kimura|first=Motoo|title=Attainment of quasi linkage equilibrium when gene frequencies are changing by natural selection|journal=Genetics|year=1965|volume=52|pages=875–890}}</ref>  Selection under these conditions rapidly changes allele frequencies to a state where they evolve as if in [[linkage equilibrium]].  Kimura originally provided the sufficient conditions for QLE in two-locus systems, but recently several researchers have shown how QLE occurs in general multilocus systems.<ref name=nagylaki>{{cite journal|last=Nagylaki|first=Thomas|coauthors=Hofbauer, Joseph; Brunovsky, Pavel|title=Convergence of multilocus systems under weak epistasis or weak selection|journal=Journal of Mathematical Biology|year=1999|volume=38|pages=103–133}}</ref>  QLE allows theorists to approximate linkage disequilibria by simple expressions, often simple functions of allele or genotype frequencies, thereby providing solutions to highly complex problems involving selection on multiple loci or polygenic traits.<ref name=kjb>{{cite journal|last=Kirkpatrick|first=Mark|coauthors=Johnson, Toby; Barton, Nicholas|title=General Models of Multilocus Evolution|journal=Genetics|year=2002|volume=161|pages=1727–1750}}</ref>  QLE also plays an important role in justifying approximations in the derivation of [[quantitative genetics|quantitative genetic]] equations from [[mendelian]] principles.


== Simple Model ==


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Let <math>X</math>, <math>Y</math>, <math>Z</math> and <math>U</math> represent the frequencies of the four possible [[genotypes]] in a haploid two-locus-two-allele model. Kimura's original model<ref name="kimura"/> showed that
 
<math>
R = \frac{XU}{YZ}
</math>
 
approaches a stable state <math>\hat{R}</math> rapidly if epistatic effects are small relative to recombination. Deviations from <math>\hat{R}</math> will be reduced by the [[recombination (biology)|recombination]] fraction every generation.
 
== References ==
{{Reflist}}
 
<!--- Categories --->
 
[[Category:Evolutionary biology]]
[[Category:Population genetics]]
 
 
{{evolution-stub}}

Revision as of 13:33, 20 August 2013

Quasi-linkage equilibrium (QLE) is a mathematical approximation used in solving population genetics problems. Motoo Kimura introduced the notion to simplify a model of Fisher's fundamental theorem. QLE greatly simplifies population genetic equations while making the assumption of weak selection and weak epistasis.[1] Selection under these conditions rapidly changes allele frequencies to a state where they evolve as if in linkage equilibrium. Kimura originally provided the sufficient conditions for QLE in two-locus systems, but recently several researchers have shown how QLE occurs in general multilocus systems.[2] QLE allows theorists to approximate linkage disequilibria by simple expressions, often simple functions of allele or genotype frequencies, thereby providing solutions to highly complex problems involving selection on multiple loci or polygenic traits.[3] QLE also plays an important role in justifying approximations in the derivation of quantitative genetic equations from mendelian principles.

Simple Model

Let X, Y, Z and U represent the frequencies of the four possible genotypes in a haploid two-locus-two-allele model. Kimura's original model[1] showed that

R=XUYZ

approaches a stable state R^ rapidly if epistatic effects are small relative to recombination. Deviations from R^ will be reduced by the recombination fraction every generation.

References

43 year old Petroleum Engineer Harry from Deep River, usually spends time with hobbies and interests like renting movies, property developers in singapore new condominium and vehicle racing. Constantly enjoys going to destinations like Camino Real de Tierra Adentro.


Template:Evolution-stub

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    The data offered is for normal info purposes only and isn't supposed to be personalised investment or monetary advice. Motley Fool Singapore contributor Stanley Lim would not personal shares in any corporations talked about. Singapore private home costs increased by 1.eight% within the fourth quarter of 2012, up from 0.6% within the earlier quarter. Resale prices of government-built HDB residences which are usually bought by Singaporeans, elevated by 2.5%, quarter on quarter, the quickest acquire in five quarters. And industrial property, prices are actually double the levels of three years ago. No withholding tax in the event you sell your property. All your local information regarding vital HDB policies, condominium launches, land growth, commercial property and more

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