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The infinitesimal model

https://doi.org/10.1101/039768
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What this work says

Outgoing claims: the papers this work cites, builds on, or argues with.

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The Stability of Symmetric Solutions to Polygenic Models
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Introduction to Time Series and Forecasting
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Central limit theorems of pedigrees
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Estimation of variance and covariance components
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The analysis of variance and the correlations between relatives with respect to deviations from an optimum
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Risk spreading as an adaptive strategy in iteroparous life histories
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Heritable genetic variation via mutation-selection balance: Lerch's zeta meets the abdominal bristle
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On normal approximation rates for certain sums of dependent random variables
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A mathematical model of the culling process in dairy cattle
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Did Jenkin's swamping argument invalidate Darwin's theory of natural selection?
inferredcites →https://doi.org/10.1017/s0016672300000690openalex-snapshot
Inbreeding in artificial selection programmes
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Linkage disequilibrium and genetic variability
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The maintenance of genetic variability by mutation in a polygenic character with linked loci
inferredcites →https://doi.org/10.1017/s0016672308009452openalex-snapshot
Inbreeding in artificial selection programmes
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Linkage and the maintenance of variation for quantitative traits by mutation–selection balance: an infinitesimal model
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XV.—The Correlation between Relatives on the Supposition of Mendelian Inheritance.
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A Mathematical Theory of Natural and Artificial Selection. Part VII. Selection intensity as a function of mortality rate
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The “North British Review” and the Origin of Species
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Common SNPs explain a large proportion of the heritability for human height
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Understanding quantitative genetic variation
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Galton's law of ancestral heredity
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A quantitative genetic competition model for sympatric speciation
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Genetics and Analysis of Quantitative Traits
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Relationship of Genetic Variation to Population Size in Wildlife
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Causes of natural variation in fitness: Evidence from studies of Drosophila populations
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A stochastic model concerning the maintenance of genetic variability in quantitative characters.
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Rates of change in quantitative traits from fixation of new mutations.
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Karl pearson's mathematization of inheritance: From ancestral heredity to Mendelian genetics (1895–1909)
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The Effect of Selection on Genetic Variability
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An Algorithm for the Machine Calculation of Complex Fourier Series
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IV. A Mendelian's View of the Law of Ancestral Inheritance
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Increased selection response in larger populations. II. Selection for ethanol vapor resistance in Drosophila melanogaster at two population sizes.
inferredcites →https://doi.org/10.1093/genetics/138.3.913openalex-snapshot
Genetic and statistical analyses of strong selection on polygenic traits: what, me normal?
inferredcites →https://doi.org/10.1093/genetics/39.6.859openalex-snapshot
AN EXTENSION OF THE CONCEPT OF PARTITIONING HEREDITARY VARIANCE FOR ANALYSIS OF COVARIANCES AMONG RELATIVES WHEN EPISTASIS IS PRESENT
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Inferring the distribution of mutational effects on fitness inDrosophila
inferredcites →https://doi.org/10.1098/rspb.1909.0019openalex-snapshot
On the ancestral gametic correlations of a mendelian population mating at random
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The correlation between relatives in a random mating population
inferredcites →https://doi.org/10.1098/rspb.1960.0099openalex-snapshot
A theory of limits in artificial selection
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Mathematical contributions to the theory of evolution, On the law of ancestral heredity
inferredcites →https://doi.org/10.1098/rsta.1896.0007openalex-snapshot
VII. Mathematical contributions to the theory of evolution.—III. Regression, heredity, and panmixia
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III . Mathematical contributions to the theory of evolution.—XII. On a generalised Theory of alternative Inheritance, with special reference to Mendel's laws
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Estimating genetic parameters in natural populations using the ‘animal model’
inferredcites →https://doi.org/10.1098/rstb.2005.1667openalex-snapshot
Theoretical models of selection and mutation on quantitative traits
inferredcites →https://doi.org/10.1098/rstb.2010.0001openalex-snapshot
What role does natural selection play in speciation?
inferredcites →https://doi.org/10.1111/j.0014-3820.2004.tb01591.xopenalex-snapshot
EFFECTS OF GENETIC DRIFT ON VARIANCE COMPONENTS UNDER A GENERAL MODEL OF EPISTASIS
inferredcites →https://doi.org/10.1111/j.0014-3820.2005.tb01771.xopenalex-snapshot
SPECIATION THROUGH COMPETITION: A CRITICAL REVIEW
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MENDEL'S LAWS AND THEIR PROBABLE RELATIONS TO INTRA‐RACIAL HEREDITY.
inferredcites →https://doi.org/10.1111/j.1558-5646.1976.tb00911.xopenalex-snapshot
NATURAL SELECTION AND RANDOM GENETIC DRIFT IN PHENOTYPIC EVOLUTION
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THE MEASUREMENT OF SELECTION ON CORRELATED CHARACTERS
inferredcites →https://doi.org/10.1146/annurev-animal-031412-103705openalex-snapshot
Accelerating Improvement of Livestock with Genomic Selection
inferredcites →https://doi.org/10.1146/annurev-ecolsys-102209-144728openalex-snapshot
What Animal Breeding Has Taught Us about Evolution
inferredcites →https://doi.org/10.1146/annurev.ecolsys.37.091305.110145openalex-snapshot
Limits to the Adaptive Potential of Small Populations
inferredcites →https://doi.org/10.1214/aop/1176991178openalex-snapshot
On Normal Approximations of Distributions in Terms of Dependency Graphs
inferredcites →https://doi.org/10.1371/journal.pgen.1002740openalex-snapshot
Limits to the Rate of Adaptive Substitution in Sexual Populations
inferredcites →https://doi.org/10.1534/genetics.111.127555openalex-snapshot
The Relation Between Reproductive Value and Genetic Contribution
inferredcites →https://doi.org/10.1534/genetics.112.147850openalex-snapshot
Applications of Population Genetics to Animal Breeding, from Wright, Fisher and Lush to Genomic Prediction
inferredcites →https://doi.org/10.1534/genetics.114.170233openalex-snapshot
Deleterious Passengers in Adapting Populations
inferredcites →https://doi.org/10.2307/2344702openalex-snapshot
The Genetics of Human Populations.
inferredcites →https://doi.org/10.2307/2531640openalex-snapshot
Accounting for Mutation Effects in the Additive Genetic Variance-Covariance Matrix and Its Inverse
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The Mathematical Theory of Quantitative Genetics.
inferredcites →https://doi.org/10.2307/2841583openalex-snapshot
Regression Towards Mediocrity in Hereditary Stature.
inferredcites →https://doi.org/10.2307/3001853openalex-snapshot
Estimation of Variance and Covariance Components
inferredcites →https://doi.org/10.5962/bhl.title.32181openalex-snapshot
Natural inheritance
inferredcites →https://doi.org/10.7208/chicago/9780226788920.001.0001openalex-snapshot
The Origins of Theoretical Population Genetics

What points at this work

Incoming claims: where this work appears in other papers’ reference lists and arguments.

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Molecular Aspects of Depressive Disorders
inferred← citeshttps://doi.org/10.1007/s11295-017-1224-yopenalex-snapshot
The genomics of local adaptation in trees: are we out of the woods yet?
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An Expanded View of Complex Traits: From Polygenic to Omnigenic
inferred← citeshttps://doi.org/10.1038/hdy.2016.109openalex-snapshot
How does epistasis influence the response to selection?
inferred← citeshttps://doi.org/10.1093/genetics/iyac053openalex-snapshot
Population genetics of polymorphism and divergence in rapidly evolving populations
inferred← citeshttps://doi.org/10.1093/plcell/koab114openalex-snapshot
Complex evolution of novel red floral color inPetunia
inferred← citeshttps://doi.org/10.1101/19007633openalex-snapshot
PERIPHERAL BLOOD AS TOOL TO DETERMINE GENE EXPRESSION PATTERNS IN PATIENTS WITH PSYCHIATRIC, NEUROLOGICAL AND OTHER COMMON DISORDERS: A SYSTEMATIC REVIEW AND META-ANALYSIS PROTOCOL
inferred← citeshttps://doi.org/10.1101/231209openalex-snapshot
System drift and speciation
inferred← citeshttps://doi.org/10.1111/evo.13252openalex-snapshot
Divergence and evolution of assortative mating in a polygenic trait model of speciation with gene flow
inferred← citeshttps://doi.org/10.1534/g3.117.039883openalex-snapshot
Automated Phenotyping Indicates Pupal Size in Drosophila Is a Highly Heritable Trait with an Apparent Polygenic Basis
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