On extending the Hardy-Weinberg law

Stark, Alan E.

doi:10.1590/s1415-47572007000400026

Cited by 5 publications

(6 citation statements)

References 7 publications

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“…Thus, although the basic nature of the system is simple, its full description of the region is less so. This is an extension of work of Stark [8].…”

Section: Introductionmentioning

confidence: 62%

Hardy-Weinberg Equilibrium as Foundational

Stark¹,

Seneta²

2014

Int. J. Stats. Med. Res.

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The Hardy-Weinberg Principle explains how random mating can produce and maintain a population in equilibrium, that is: with constant genotypic proportions. The Hardy-Weinberg formula is in constant use as a basis for developing population genetics theory. Here we give a complete description of a model which can sustain equilibrium but with a general mating system, thereby giving a much broader basis on which to develop population genetics. It was S. N. Bernstein who first showed how Mendel's first law could be justified simply on the basis of observations of populations in equilibrium. We show how the model can be applied to exploring the change in incidence of a genetic disorder.

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“…Thus, although the basic nature of the system is simple, its full description of the region is less so. This is an extension of work of Stark [8].…”

Section: Introductionmentioning

confidence: 62%

Hardy-Weinberg Equilibrium as Foundational

Stark¹,

Seneta²

2014

Int. J. Stats. Med. Res.

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“…In particular, HWP can be produced in the distribution of offspring by taking G = 0, by NRM, if required (Stark, 2007).…”

Section: A General Mating Model That Maintains Genetic Variabilitymentioning

confidence: 99%

“…The textbooks show how HWP are reached in one round of RM. Stark (2006b, 2007) shows that HWP can be produced from an arbitrary parental population with a single round of NRM. For example, mating matrix C 0 in (8), converted to U by (2), and then applied by T = MU gives HWP {0.16,0.48,0.36} with q = 0.4, from parental population {0.2,0.4,0.4}:…”

Section: Example Of An Nrm Path To Hw Form and Hwe With Nrmmentioning

confidence: 99%

“…Having chosen q and F to define the composition of the initial population, thus a judicious choice of parameters s and t can be made to produce the composition of the next generation defined by the same q and arbitrary G . In particular, HWP can be produced in the distribution of offspring by taking G = 0, by NRM, if required (Stark, 2007).…”

Section: A General Mating Model That Maintains Genetic Variabilitymentioning

confidence: 99%

“…The textbooks show how HWP are reached in one round of RM. Stark (2006bStark ( , 2007 shows that HWP can be produced from an arbitrary parental population with a single round of NRM. For example, mating matrix C 0 in 8…”

Section: Example Of An Nrm Path To Hw Form and Hwe With Nrmmentioning

confidence: 99%

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A Reality Check on Hardy–Weinberg

Stark

Seneta

2013

Twin Res Hum Genet

Self Cite

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) had very different lives, but in the minds of geneticists, the two are inextricably linked through the ownership of an apparently simple law called the Hardy-Weinberg law. We demonstrate that the simplicity is more apparent than real. Hardy derived the well-known trio of frequencies {q 2 , 2 pq, p 2 } with a concise demonstration, whereas for Weinberg it was the prelude to an ingenious examination of the inheritance of twinning in man. Hardy's recourse to an identity relating to the distribution of types among offspring following random mating, rather than an identity relating to the mating matrix, may be the reason why he did not realize that Hardy-Weinberg equilibrium can be reached and sustained with non-random mating. The phrase 'random mating' always comes up in reference to the law. The elusive nature of this phrase is part of the reason for the misunderstandings that occur but also because, as we explain, mathematicians are able to use it in a different way from the man-in-the-street. We question the unthinking appeal to random mating as a model and explanation of the distribution of genotypes even when they are close to Hardy-Weinberg proportions. Such sustained proportions are possible under non-random mating.

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Constitutive elements in science beyond physics: the case of the Hardy–Weinberg principle

Luchetti¹

2018

Synthese

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On extending the Hardy-Weinberg law

Cited by 5 publications

References 7 publications

Hardy-Weinberg Equilibrium as Foundational

Hardy-Weinberg Equilibrium as Foundational

A Reality Check on Hardy–Weinberg

Constitutive elements in science beyond physics: the case of the Hardy–Weinberg principle

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