+ Translate
+ Most Popular
The pigeon tick (Argas reflexus): its biology, ecology, and epidemiological aspects
Prevalence of hemoglobin abnormalities in Kebili (Tunisian South)
Lipogranuloma: a preventable complication of dacryocystorhinostomy
Value of basal plasma cortisol assays in the assessment of pituitary-adrenal insufficiency
Bees from the Belgian Congo. The acraensis group of Anthophora
Placing gingival retraction cord
Total serum IgE, allergy skin testing, and the radioallergosorbent test for the diagnosis of allergy in asthmatic children
Acariens plumicoles Analgesoidea parasites des oiseaux du Maroc
Injuries of terminal phalanges of the fingers in children
Biology of flowering and nectar production in pear (Pyrus communis)
Das Reliktvorkommen der Aspisviper (Vipera aspis L.) im Schwarzwald
Hydrological modelling of drained blanket peatland
Pathologic morphology and clinical significance of the anomalous origin of the left circumflex coronary artery from the right coronary artery. General review and autopsy analysis of 30 cases
Cyto genetic analyses of lymphocyte cultures after exposure to calcium cyclamate
Axelrodia riesei, a new characoid fish from Upper Rio Meta in Colombia With remarks concerning the genus Axelrodia and description of a similar, sympatric, Hyphessobrycon-species
Favorable evolution of a case of tuberculosis of pancreas under antibiotic action
RIFM fragrance ingredient safety assessment, Valencene, CAS Registry Number 4630-07-3
Parenteral microemulsions: an overview
Temperate pasture: management for grazing and conservation
Evaluation of a new coprocessed compound based on lactose and maize starch for tablet formulation
Thermal expansion and cracking of three confined water-saturated igneous rocks to 800C
Revision of the genera of the tribe Stigmoderini (Coleoptera: Buprestidae) a discussion of phylogenetic relationships
Anal tuberculosis. Report of a case
Gastric tuberculosis in the past and present
Adaptive responses of the cardiovascular system to prolonged spaceflight conditions: assessment with Holter monitoring

Multilocus population genetics with weak epistasis. II. Equilibrium properties of multilocus models: what is the unit of selection?

Multilocus population genetics with weak epistasis. II. Equilibrium properties of multilocus models: what is the unit of selection?

Genetics 112(1): 157-171

ISSN/ISBN: 0016-6731

PMID: 3943708

Using perturbation techniques, I study the equilibrium of deterministic discrete time multilocus models with weak epistasis. The most important results are on the relationship between epistasis and disequilibrium. Disequilibrium involving a particular set of loci reflects only epistasis simultaneously involving those loci. Moreover, all the disequilibria of all orders vary approximately as the inverse of the probability of at least one recombination event among the loci involved. Finally, higher order disequilibria among loci will be lower than lower order ones, even if the level of epistasis is the same at all orders. In this sense, the unit of selection is small. However, given the larger number of higher order disequilibria, these higher order disequilibria may play an important role in the computation of gametic frequencies from allelic frequencies in models with a large number of loci. Finally, I show that epistasis between blocks of loci will be averages of epistatic effects, not additions of epistatic effects. Thus, failure to find significant epistasis on a chromosomal basis does not rule out the importance of epistatic effects.

Please choose payment method:

(PDF emailed within 1 workday: $29.90)

Accession: 005941754

Download citation: RISBibTeXText

Related references

Multilocus population genetics with weak epistasis 1. equilibrium properties of 2 locus 2 allele models. Genetics 109(4): 799-812, 1985

Multilocus population genetics with weak epistasis. I. Equilibrium properties of two-locus two-allele models. Genetics 109(4): 799-812, 1985

Convergence of multilocus systems under weak epistasis or weak selection. Journal of Mathematical Biology 38(2): 103-133, 1999

Evolution and polymorphism in the multilocus Levene model with no or weak epistasis. Theoretical Population Biology 78(2): 123-138, 2010

Multilocus population genetics models. American Association for the Advancement of Science Abstracts of Papers of the National Meeting 153: 3, 1987

Multilocus selection in subdivided populations I. Convergence properties for weak or strong migration. Journal of Mathematical Biology 58(6): 939-978, 2009

Representation of nonepistatic selection models and analysis of multilocus Hardy-Weinberg equilibrium configurations. Journal of Mathematical Biology 7(4): 353-374, 1979

Multilocus population genetics: relative importance of selection and recombination. Theoretical Population Biology 17(3): 298-320, 1980

Will population bottlenecks and multilocus epistasis increase additive genetic variance?. Evolution; International Journal of Organic Evolution 60(9): 1763-1776, 2006

The evolution of multilocus systems under weak selection. Genetics 134(2): 627-647, 1993

Global convergence properties in multilocus viability selection models: the additive model and the Hardy-Weinberg law. Journal of Mathematical Biology 29(2): 161-176, 1990

Detection of Epistasis for Flowering Time Using Bayesian Multilocus Estimation in a Barley MAGIC Population. Genetics 208(2): 525-536, 2018

Multilocus selection in subdivided populations II. Maintenance of polymorphism under weak or strong migration. Journal of Mathematical Biology 58(6): 979-997, 2009

The approach to equilibrium of multilocus genotype diversity under clonal selection and cyclical parthenogenesis. Hydrobiologia 15: 323-331, 2001

Deterministic multilocus population genetics an overview. Hastings, A (Ed ) Lectures on Mathematics in The Life Sciences, Vol 20 Some Mathematical Questions in Biology: Models in Population Biology; Symposium, Chicago, Illinois, Usa, February 27, 1987 Vii+123p American Mathematical Society: Providence, Rhode Island, Usa Illus Paper 27-54, 1989