Equilibrium behavior of population genetic models with non-random mating. Part I: Preliminaries and special mating systems
Journal of Applied ProbabilityPublished 1 August 1968
Samuel Karlin
Citations88
SJR quartileQ2
SJR score0.53
SNIP0.91
Generate an AI Snapshot to get a quick, structured summary of this paper.
Study Snapshot
ObjectiveStudy objective
MethodsResearch methodology
PopulationPopulation studied
Sample sizeSample sizes
OutcomesStudy outcomes here
ResultsStudy results comes here
LimitationsResearch study limitations comes here
A concise AI-generated summary of the paper will appear here once you click Generate AI Snapshot.
Abstract
An abstract is not available for this content so a preview has been provided. Please use the Get access link above for information on how to access this content.
Keywords
Social SciencesMedicineBiochemistry, Genetics and Molecular Biology
Clarendon Press eBooksThe genetical theory of natural selection
17,589 Citations1930Ronald Aylmer Fisher
GeneticsSYSTEMS OF MATING. I. THE BIOMETRIC RELATIONS BETWEEN PARENT AND OFFSPRING
744 Citations1921Sewall Wright
Proceedings of the National Academy of SciencesA New Interpretation of the Hereditary Behavior of Self-Sterile Plants
213 Citations1925E. M. East, A. J. Mangelsdorf
EvolutionThe Genetical Theory of Natural Selection
166 Citations2022Douglas J. Futuyma, Mark Kirkpatrick
Annals of EugenicsTHE INHERITANCE OF STYLE LENGTH IN <i>LYTHRUM SALICARIA</i>
155 Citations1943Ronald Aylmer Fisher, Kenneth Mather
HeredityAssociation between mendelian factors with mixed selfing and random mating
117 Citations1956J. H. Bennett, F. E. Binet
The present article considers a large population of plants reproducing in non-overlapping generations in such a way that there is a constant probability that any plant will be self-fertilised and a probability that it will cross with some plant chosen at random from the population.
HeredityMixed selfing and random mating when homozygotes are at a disadvantage
70 Citations1953B I Hayman
Investigation of behaviour under inbreeding when homozygotes are at a selective disadvantage compared with heterozygotes finds how a large population changes from generation to generation under certain conditions, and represents these changes by curves in a trilinear diagram.
Journal of GeneticsThe theory of inbreeding with forced heterozygosis
68 Citations1935M. S. Bartlett, J. B. S. Haldane
When a foreign gene is being bred into a pure line, or when a population with a lethal gene, incomplete sex linkage, heterostylism, or self-sterility is being inbred, the population is kept heterozygous for a particular gene or chromosome segment, but otherwise inbred.
Philosophical transactions of the Royal Society of London. Series B, Biological sciencesThe genetics of homostyly in populations of <i>Primula vulgaris</i>
57 Citations1960Walter F. Bodmer
It seems that the tendency of the homostyles, and possibly also of pins and thrums, to cross-fertilize is an essential buffering mechanism against the possible reversal of an outcrossing system to inbreeding.
GeneticsASSORTATIVE MATING BASED ON PHENOTYPE: I. TWO ALLELES WITH DOMINANCE
53 Citations1969Francesco M. Scudo, Samuel Karlin
The model proposed so far to account for the effects of assortative mating are such that gene frequencies remain invariant over time and only the genotypic distribution is altered.
GeneticsASSORTATIVE MATING BASED ON PHENOTYPE: II. TWO AUTOSOMAL ALLELES WITHOUT DOMINANCE
53 Citations1969Samuel Karlin, Francesco M. Scudo
This paper is mainly concerned with assortment based on a pair of alleles where the heterozygote can be distinguished from both homozygotes and delimit a model by specifying the effects of a tendency to assort on the individual reproductive behavior and the fertility.
The American NaturalistSome Evolutionary Consequences of Pegmatypic Mating Systems (Imprinting)
46 Citations1966H. Kalmus, Susan M. Smith
It is found that in large populations with absolute imprinting, the population tends to split into two noninterbreeding groups each characterized by a different allele, whereas with relative mating preferences a stable equilibrium tends to become established.
GeneticsFURTHER ANALYSIS OF NEGATIVE ASSORTATIVE MATING
40 Citations1968Samuel Karlin, Marcus W. Feldman
This paper repeats the process of using the standard methods of linear infinitesimal approximations to verify local stability of certain equilibria with certain models described by WORKMAN, NAYLOR and others.
GeneticsSOME BREEDING PROPERTIES OF THE GENERALIZED MENDELIAN POPULATION
38 Citations1916Edward N. Wentworth, B L Remick
GeneticsANALYSIS OF MODELS WITH HOMOZYGOTE x HETEROZYGOTE MATINGS
28 Citations1968Samuel Karlin, Marcus W. Feldman
NaturePossibility of Assortive Mating in the Arctic Skua
26 Citations1959Peter O’Donald
Although on Fair Isle intermediates, very similar to darks, are recognized; in the remainder of these data, this distinction is not made: for this reason, the intermediates in the Fair Isle data have likewise been added to the darks.
Journal of GeneticsThe conflict between inbreeding and selection I. Sele fertilization
22 Citations1956I. Self-Fertilization, J. B. S. Haldane
Doubting the validity of Hayman & Mather's results on selection in favour of heterozygotes within lines slows down the onset of homozygosis, but cannot prevent it, if any homozygotes are allowed to breed.
Journal of the Royal Statistical Society Series B (Statistical Methodology)Discrete Stochastic Processes in Population Genetics
19 Citations1960Walter F. Bodmer
The value of the dominant characteristic root for approximate linear changes near an initial equilibrium can be used to estimate the chances of survival of newly occurring genotypes in population genetic models of the approximate treatment of a non-linear discrete stochastic process.
Journal of the Royal Statistical Society Series B (Statistical Methodology)The Distribution of Heterogeneity upon Inbreeding
18 Citations1954J. H. Bennett
HeredityComplex polymorphisms where the coupling and repulsion double heterozygote viabilities differ
17 Citations1963P. A. Parsons
Complex polymorphisms where the coupling and repulsion double heterozygote viabilities differ are studied.
Journal of HeredityAPPROACH TO GENOTYPIC EQUILIBRIUM WITH VARYING PERCENTAGES OF SELF-FERTILIZATION AND CROSS-FERTILIZATION (ONE AUTOSOMAL GENE-PAIR)
12 Citations1951M. J. Garber
BiometricsSome Applications of the Theory of Junctions
10 Citations1964J. S. Gale
For animals having only one offspring at a birth, first offspring parent inbreeding is the more efficient of the two systems under certain conditions, and the first offspring method is more rapid in terms of time rather than generations if the minimal generation time is less than about 3.1 birth intervals.
HeredityLethal genes in inbred lines
10 Citations1956J. H. Bennett
This article determines the frequency with which balanced lethal systems can be expected to arise as the result of gene mutation in inbred lines and the rate at which almost-balanced systems of closely linked lethal genes are eliminated from inbreeding lines.