scholarly journals Evolutionary and convergence stability for continuous phenotypes in finite populations derived from two-allele models

2012 ◽  
Vol 310 ◽  
pp. 206-215 ◽  
Author(s):  
Joe Yuichiro Wakano ◽  
Laurent Lehmann
Genetics ◽  
2003 ◽  
Vol 165 (4) ◽  
pp. 2249-2258 ◽  
Author(s):  
Mark M Iles ◽  
Kevin Walters ◽  
Chris Cannings

AbstractIt is well known that an allele causing increased recombination is expected to proliferate as a result of genetic drift in a finite population undergoing selection, without requiring other mechanisms. This is supported by recent simulations apparently demonstrating that, in small populations, drift is more important than epistasis in increasing recombination, with this effect disappearing in larger finite populations. However, recent experimental evidence finds a greater advantage for recombination in larger populations. These results are reconciled by demonstrating through simulation without epistasis that for m loci recombination has an appreciable selective advantage over a range of population sizes (am, bm). bm increases steadily with m while am remains fairly static. Thus, however large the finite population, if selection acts on sufficiently many loci, an allele that increases recombination is selected for. We show that as selection acts on our finite population, recombination increases the variance in expected log fitness, causing indirect selection on a recombination-modifying locus. This effect is enhanced in those populations with more loci because the variance in phenotypic fitnesses in relation to the possible range will be smaller. Thus fixation of a particular haplotype is less likely to occur, increasing the advantage of recombination.


1974 ◽  
Vol 6 (5) ◽  
pp. 565-601 ◽  
Author(s):  
M R Wigan

This paper summarises the program of work carried out at TRRL up to 1971 on traffic restraint treated as a policy for transport planning. The special techniques required were developed and are described here. The theoretical framework within which local traffic effects can be treated at a strategic level is developed using marginal cost road pricing as an example, and the necessarily stringent pricing establishing the convergence, stability, and repeatability of the results is described for a practical algorithm which can readily be used in other transport planning program systems. The application of these techniques to analyse the comparative effects of different traffic restraint policies, and the variations on the techniques required to handle several groups of travellers who react differently to restraint measures, are the subject of companion papers to appear later in this journal.


Entropy ◽  
2021 ◽  
Vol 23 (3) ◽  
pp. 318
Author(s):  
Manuel Mendoza ◽  
Alberto Contreras-Cristán ◽  
Eduardo Gutiérrez-Peña

Statistical methods to produce inferences based on samples from finite populations have been available for at least 70 years. Topics such as Survey Sampling and Sampling Theory have become part of the mainstream of the statistical methodology. A wide variety of sampling schemes as well as estimators are now part of the statistical folklore. On the other hand, while the Bayesian approach is now a well-established paradigm with implications in almost every field of the statistical arena, there does not seem to exist a conventional procedure—able to deal with both continuous and discrete variables—that can be used as a kind of default for Bayesian survey sampling, even in the simple random sampling case. In this paper, the Bayesian analysis of samples from finite populations is discussed, its relationship with the notion of superpopulation is reviewed, and a nonparametric approach is proposed. Our proposal can produce inferences for population quantiles and similar quantities of interest in the same way as for population means and totals. Moreover, it can provide results relatively quickly, which may prove crucial in certain contexts such as the analysis of quick counts in electoral settings.


1994 ◽  
Vol 89 (428) ◽  
pp. 1282-1289 ◽  
Author(s):  
James G. Booth ◽  
Ronald W. Butler ◽  
Peter Hall

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