Kingman and mathematical population genetics

Ewens, Warren J.; Watterson, G. A.

doi:10.1017/cbo9781139107174.012

Cited by 78 publications

(156 citation statements)

References 65 publications

Supporting

Mentioning

154

Contrasting

Order By: Relevance

“…Mathematical Model -Linkage Disequilibrium All models considered in this paper belong to the category of time-continuous Moran models (Moran 1975(Moran , 1976Ewens 1979). These models assume individuals' life lengths having exponential distributions, which results in relaxing of the hypothesis of nonoverlapping constant duration generations underlying the WrightFisher model.…”

Section: Methods and Datamentioning

confidence: 99%

See 1 more Smart Citation

A Simple Model of Linkage Disequilibrium and Genetic Drift in Human Genomic SNPs: Importance of Demography and SNP Age

Polańska

Kimmel

2005

Hum Hered

View full text Add to dashboard Cite

We propose a simple model of evolution at a pair of SNP loci, under mutation, genetic drift and recombination. The developed model allows to consider evolution of SNPs under different demographic scenarios. We applied it to SNP data containing polymorphisms spanning 19 gene regions. We initially matched the linkage disequilibrium (LD) data only, and then we reconciled both LD and heterozygosity data. The imbalance between LD and heterozygosity data, observed for some of the analyzed genomic regions, may be a signature of selection acting in these regions. However, assuming neutrality, we obtain estimates of the age of population expansion of modern humans, which are consistent with the consensus estimates. In addition, we are able to estimate the ages of the polymorphisms observed in different genomic regions and we find that they vary widely with respect to their age. Polymorphisms at loci implicated in human disease, seem to be younger than average. Our results supplement the conclusions originally obtained by Reich and co-workers for the same set of data.

show abstract

Section: Methods and Datamentioning

confidence: 99%

“…We do not claim novelty of the principles we use. Indeed, in the classical text by Ewens (1979), forward-time models are quite thoroughly reviewed. In the context of recombination, equations similar to ours can be found, e.g., in Lessard (1981).…”

Section: Methods and Datamentioning

confidence: 99%

A Simple Model of Linkage Disequilibrium and Genetic Drift in Human Genomic SNPs: Importance of Demography and SNP Age

Polańska

Kimmel

2005

Hum Hered

View full text Add to dashboard Cite

show abstract

“…If a population has reached such a state, and if spontaneous mutations of novel strategies are not considered, the population will stay in that state forever. The population is in an absorbing state and the strategy has reached fixation [12]. The absorption time is the average time that it takes a population with a given initial condition to reach one of the absorbing states.…”

Section: Open Accessmentioning

confidence: 99%

“…And secondly, absorption times can help to predict the phenotypic variability one should expect in a specific population. If one assumes, that mutant strategies enter the population at an approximately constant low rate, then the number of different phenotypes present in a population at any time will depend on how fast strategies would reach fixation or get extinct [12,25].…”

Section: Open Accessmentioning

confidence: 99%

The ‘Hawk-Dove’ Game and the Speed of the Evolutionary Process in Small Heterogeneous Populations

Voelkl

2010

Games

View full text Add to dashboard Cite

I study the speed of the evolutionary process on small heterogeneous graphs using the Hawk-Dove game. The graphs are based on empirical observation data of grooming interactions in 81 primate groups. Analytic results for the star graph have revealed that irregular graphs can slow down the evolutionary process by increasing the mean time to absorption. Here I show that the same effects can be found for graphs representing natural animal populations which are much less heterogeneous than star graphs. Degree variance has proven to be a good predictor for the mean time to absorption also for these graphs.

show abstract

“…For the convenience of presentation, the average level of the LD between the marker and trait loci, D(t) is expressed as D(t) = D 0 e -t , where D 0 is the level of the initial LD when the trait mutation is introduced into the population, is the recombination fraction between the marker and trait loci, and t is the time in elapsed generations since the introduction of the trait mutation into the population [Ewens, 1979]. Figures 3 and 4 show the power of the ¯2 test T M and regression based test T R as a function of the genetic distance between the marker and trait loci.…”

Section: Power Calculation and Comparisonmentioning

confidence: 99%

Linkage Disequilibrium Mapping of Quantitative Trait Loci under Truncation Selection

Xiong¹,

Fan

2002

Hum Hered

View full text Add to dashboard Cite

As a dense map of single nucleotide polymorphism (SNP) markers are available, population-based linkage disequilibrium (LD) mapping or association study is becoming one of the major tools for identifying quantitative trait loci (QTL) and for fine gene mapping. However, in many cases, LD between the marker and trait locus is not very strong. Approaches that maximize the potential of detecting LD will be essential for the success of LD mapping of QTL. In this paper, we propose two strategies for increasing the probability of detecting LD: (1) phenotypic selection and (2) haplotype LD mapping. To provide the foundations for LD mapping of QTL under selection, we develop analytic tools for assessing the impact of phenotypic selection on allele and haplotype frequencies, and LD under three trait models: single trait locus, two unlinked trait loci, and two linked trait loci with or without epistasis. In addition to a traditional χ² test, which compares the difference in allele or haplotype frequencies in the selected sample and population sample, we present multiple regression methods for LD mapping of QTL, and investigate which methods are effective in employing phenotypic selection for QTL mapping. We also develop a statistical framework for investigating and comparing the power of the single marker and multilocus haplotype test for LD mapping of QTL. Finally, the proposed methods are applied to mapping QTL influencing variation in systolic blood pressure in an isolated Chinese population.

show abstract

Kingman and mathematical population genetics

Cited by 78 publications

References 65 publications

A Simple Model of Linkage Disequilibrium and Genetic Drift in Human Genomic SNPs: Importance of Demography and SNP Age

A Simple Model of Linkage Disequilibrium and Genetic Drift in Human Genomic SNPs: Importance of Demography and SNP Age

The ‘Hawk-Dove’ Game and the Speed of the Evolutionary Process in Small Heterogeneous Populations

Linkage Disequilibrium Mapping of Quantitative Trait Loci under Truncation Selection

Contact Info

Product

Resources

About