Biharmonic equation: Difference between revisions

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The '''General Selection Model''' (GSM) is a model of [[population genetics]] that describes how a population's [[allele frequencies]] will change when acted upon by [[natural selection]].
 
==Equation==
The General Selection Model applied to a single gene with two alleles (let's call them A1 and A2) is encapsulated by the equation: 
 
<math>\Delta q=\frac{pq  \big[q(W_2-W_1) + p(W_1 - W_0)\big ]}{\overline{W}}</math>
:where:
 
::<math>p</math> is the frequency of allele A1
::<math>q</math> is the frequency of allele A2
::<math>\Delta q</math> is the rate of evolutionary change of the frequency of allele A2
::<math>W_0,W_1, W_2</math> are the [[fitness (biology)|relative fitnesses]] of homozygous A1, heterozygous (A1A2), and homozygous A2 genotypes respectively.
::<math>\overline{W}</math> is the mean population relative fitness.
 
In words:
 
The product of the relative frequencies, <math>pq</math>, is a measure of the genetic variance. The quantity pq is maximized when there is an equal frequency of each gene, when <math>p=q</math>.  In the GSM, the rate of change <math>\Delta Q</math> is proportional to the genetic variation.
 
The mean population fitness <math>\overline{W}</math> is a measure of the overall fitness of the population.  In the GSM, the rate of change <math>\Delta Q</math> is inversely proportional to the mean fitness <math>\overline{W}</math>—i.e. when the population is maximally fit, no further change can occur.
 
The remainder of the equation, <math> \big[q(W_2-W_1) + p(W_1 - W_0)\big ]</math>, refers to the mean effect of an allele substitution. In essence, this term quantifies what effect genetic changes will have on fitness.
 
==See also==
*[[Fitness (biology)|Darwinian Fitness]]
*[[Hardy-Weinberg principle]]
*[[Population genetics]]
 
 
 
[[Category:Population genetics]]

Latest revision as of 19:14, 29 April 2014

Marvella is what you can call her but it's not the most female name out there. To gather cash is 1 of the things I adore most. For years he's been living in North Dakota and his family enjoys it. Since she was 18 she's been operating as a receptionist but her promotion never comes.

Feel free to surf to my web site: http://www.noonptm.com