Theoretical population genetics

Provine, W. B. (1971), The Origins of Theoretical Population Genetics, University of Chicago Press,... 

Kimura, M., "Recent Development of the Neutral Theory Viewed from the Wright-ian Tradition of Theoretical Population Genetics," Proc. Natl. Acad. Sci. USA, 88, 5969-5973 (1991). 

Theoretical Population Genetics in the Evolutionary Synthesis (p. 65) Matthew, William Diller... 

Wakeley, J., The limits of theoretical population genetics. Genetics, 169, 1, 2005. 

Watterson, G.A. (1975). On the number of segregating sites in genetic models without recombination. Theoretical Population Biology 10,256-276. 

What I mean by variation I will focus on techniques for revealing variation within species - classically called polymorphisms - and also for revealing variation between reasonably closely related species - so-called substitutions. Whereas the species boundary is the classic dividing line between population genetics and organismal evolution, between what can be studied genetically and what can only be studied comparatively, there is no need to make any such distinction, either theoretically or empirically, for DNA. For the purposes of this chapter, indeed for the purpose of understanding molecular evolution, there is no need to view variation within a species any differently than variation between species. 

Hartl, D. L. Brown, S. W. (1970) The origin of male haploid genetic systems and their expected sex ratio. Theoretical Population Biology, Vol.l, pp. 165-190 Helle, W., Bolland, H. R., van Arendonk, R., De Boer, R. Schulten, G. G. M. (1978) Genetic evidence for biparental males in haplo-diploid predator mites (Acarina Phytoseiidae). Genetica, Vol.49, pp. 165-171... 

MEUWISSEN THE and wooLLiAMS J A (1994) Effective sizes of hvestock populations to prevent a decline in fitness . Theoretical Applied Genetics, vol. 89, pp. 1019-1026. 

Gouyon, P.FI. and P. Vernet, 1982. The consequences of gynodioecy in natural populations of Thymus vulgaris L. Theoret. Appl. Genet., 61 315-320. 

Noise-induced transitions have been studied theoretically in quite a few physical and chemical systems, namely the optical bistability [12,13,5], the Freedricksz transition in nematics [14,15,16,5], the superfluid turbulence in helium II [17], the dye laser [18,19], in photochemical reactions [20], the van der Pol-Duffing oscillator [21] and other nonlinear oscillators [22]. Here I will present a very simple model which exhibits a noise-induced critical point. The so-called genetic model was first discussed in [4]. I will not describe its application to population genetics in this paper, see [5] for this aspect, but use a chemical model reaction scheme ... 

Kimura, M., and Ohta, T. (1971), in Theoretical Aspects of Population Genetics, pp. ix and 219, Princeton University Press, Princeton, N.J. 

The existence of non-HLA genes in many of the HLA associated diseases was established from theoretical considerations involving population prevalence, risks to relatives, and HLA IBD values in affected sib pairs (28-30). Type-1 diabetes shows an increased risk in siblings over population prevalence (Xs) of 15 in Caucasian populations (30), of which HLA contributes 3.4 approximately 45% of the type-1 diabetes genetic component under a multiplicative model (31). 

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