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EVOLUTIONARY RELATIONSHIP OF DNA SEQUENCES IN FINITE POPULATIONS
Fumio Tajima 1
1 Center for Demographic and Population Genetics, The University
of Texas at Houston, Houston, Texas 77025
With the aim of analyzing and interpreting data on DNA polymorphism obtained by DNA sequencing or restriction enzyme technique, a mathematical theory on the expected evolutionary relationship among DNA sequences (nucleons) sampled is developed under the assumption that the evolutionary change of nucleons is determined solely by mutation and random genetic drift. The statistical property of the number of nucleotide differences between randomly chosen nucleons and that of heterozygosity or nucleon diversity is investigated using this theory. These studies indicate that the estimates of the average number of nucleotide differences and nucleon diversity have a large variance, and a large part of this variance is due to stochastic factors. Therefore, increasing sample size does not help reduce the variance significantly. The distribution of sample allele (nucleomorph) frequencies is also studied, and it is shown that a small number of samples are sufficient in order to know the distribution pattern.
Submitted on February 11, 1983Accepted on June 22, 1983
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M. J. Hickerson, C. P. Meyer, and C. Moritz DNA Barcoding Will Often Fail to Discover New Animal Species over Broad Parameter Space Syst Biol, October 1, 2006; 55(5): 729 - 739. [Abstract] [Full Text] [PDF]
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A. D. Cutter, S. E. Baird, and D. Charlesworth High Nucleotide Polymorphism and Rapid Decay of Linkage Disequilibrium in Wild Populations of Caenorhabditis remanei Genetics, October 1, 2006; 174(2): 901 - 913. [Abstract] [Full Text] [PDF]
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S. Glinka, D. De Lorenzo, and W. Stephan Evidence of Gene Conversion Associated with a Selective Sweep in Drosophila melanogaster Mol. Biol. Evol., October 1, 2006; 23(10): 1869 - 1878. [Abstract] [Full Text] [PDF]
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E. M. Hunter, H. J. Mills, and J. E. Kostka Microbial Community Diversity Associated with Carbon and Nitrogen Cycling in Permeable Shelf Sediments Appl. Envir. Microbiol., September 1, 2006; 72(9): 5689 - 5701. [Abstract] [Full Text] [PDF]
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Z. Zhao, N. Yu, Y.-X. Fu, and W.-H. Li Nucleotide Variation and Haplotype Diversity in a 10-kb Noncoding Region in Three Continental Human Populations Genetics, September 1, 2006; 174(1): 399 - 409. [Abstract] [Full Text] [PDF]
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R. Jiang, P. Marjoram, J. O. Borevitz, and S. Tavare Inferring Population Parameters From Single-Feature Polymorphism Data Genetics, August 1, 2006; 173(4): 2257 - 2267. [Abstract] [Full Text] [PDF]
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