TL;DR: This paper proposes a second selection step after reproduction which is also absolutely problem independent, and discusses the potential of the new selection model exemplarily on the basis of standardized real-valued test functions in high dimensions.
Abstract: In terms of goal orientedness, selection is the driving force of Genetic Algorithms (GAs) In contrast to crossover and mutation, selection is completely generic, ie independent of the actually employed problem and its representation GA-selection is usually implemented as selection for reproduction (parent selection) In this paper we propose a second selection step after reproduction which is also absolutely problem independent This self-adaptive selection mechanism, which will be referred to as offspring selection, is closely related to the general selection model of population genetics As the problem- and representation-specific implementation of reproduction in GAs (crossover) is often critical in terms of preservation of essential genetic information, offspring selection has proven to be very suited for improving the global solution quality and robustness concerning parameter settings and operators of GAs in various fields of applications The experimental part of the paper discusses the potential of the new selection model exemplarily on the basis of standardized real-valued test functions in high dimensions
TL;DR: In this paper, a family of approximate sampling distributions for the symmetric overdominance model of population genetics were derived for the Human Leukocyte Antigen data set, in light of a distribution conditional on the number of sample atoms.
Abstract: We derive a family of approximate sampling distributions for the symmetric overdominance model of population genetics. The distributions are selective versions of the Ewens Sampling Formula, which gives sample likelihoods under a model of neutral evolution. We draw on basic results for the general selection model of Ethier and Kurtz, and use mathematical tools well-suited for calculating expectations of symmetric functions of Poisson--Dirichlet atoms. We conclude by briefly examining a Human Leukocyte Antigen data set, in light of a distribution conditional on the number of sample atoms.
TL;DR: This work considers population genetics models where selection acts at a set of unlinked loci, but assumes parent-independent mutation at each locus and uses simulation to determine what features of the genealogy differ between the authors' general selection model and a multiplicative model.
TL;DR: In this article, the authors show that the weak selection assumption can be removed from most of the results of Crow and Kimura, and then they generalize those results to the most general selection model.
Abstract: In evolutionary theory, a key issue in selection theory is the expected time for a given amount of allele frequency change to occur. Crow and Kimura, by assuming weak selection, presented explicit results for several important cases of the directional selection and of the stochastic process. Those results played an important role in the theory of population genetics. In this paper, first we show that the weak selection assumption can be removed from most of the results of Crow and Kimura, and then we generalize those results to the most general selection model. Next, we estimate the errors of the deterministic formulae produced by proving that the deterministic formulae are limits of the corresponding stochastic formulae when the size of the population tends to infinity. Finally, we present a result which removes the restriction of Kimura’s corresponding results for a favourite recessive selection model, and we also observe that the conclusion made by Kimura about the favourite dominant selection might not be correct.
doi:10.1017/S1446181117000050
TL;DR: The most substantial point in Kempthorne's critique is not that current population genetics theory is inoperable, but that it is practically impossible to apply to life-history problems.
Abstract: In this reply to Kempthorne's critique of current population genetics theory (this symposium), I describe the differences in viewpoint and in choice of evidence which lead me to a more favorable conclusion. Kempthorne's attacks on the general selection model and on Fisher's Fundamental Theorem of Natural Selection have considerable justification; in both cases, however, qualification is preferable to demolition. Furthermore, recent advances in selection theory really meet Kempthorne's well-founded objections. Finally, the most substantial point in Kempthorne's critique is not that current population genetics theory is inoperable, but that it is practically impossible to apply to life-history problems. Computers, properly programmed, may provide a valuable way around this impasse. In addition, the necessity and the difficulty of manipulating one variable at a time have been with science for a long and exasperating time.