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Preface | |
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Basic Models | |
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ATGCs of life | |
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Wright-Fisher model | |
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The coalescent | |
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Shape of the genealogical tree | |
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Infinite alleles model | |
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Hoppe's urn, Ewens' sampling formula | |
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Chinese restaurants and sufficient statistics | |
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Branching process viewpoint | |
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Infinite sites model | |
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Segregating sites | |
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Nucleotide diversity | |
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Pairwise differences | |
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Folded site frequency spectrum | |
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Moran model | |
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Fixation probability and time | |
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Site frequency spectrum mean | |
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Estimation and Hypothesis Testing | |
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Site frequency spectrum covariance | |
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Estimates of [theta] | |
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Hypothesis testing overview | |
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Difference statistics | |
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Tajima's D | |
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Fu and Li's D | |
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Fay and Wu's H | |
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Conditioning on S[subscript n] | |
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The HKA test | |
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McDonald-Kreitman test | |
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Recombination | |
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Two loci | |
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Sample of size 2 | |
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Sample of size n | |
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m loci | |
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Samples of size 2 | |
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Samples of size n | |
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Pairwise differences | |
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Linkage disequilibrium | |
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Ancestral recombination graph | |
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Simulation | |
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Two approximate algorithms | |
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Counting recombinations | |
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Estimating recombination rates | |
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Equations for the two-locus sampling distribution | |
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Simulation methods | |
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Composite likelihood estimation of [rho] | |
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Haplotypes and hot spots | |
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Population Complications | |
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Large family sizes | |
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Population growth | |
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Exponential growth | |
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Sudden population expansion | |
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Founding effects and bottlenecks | |
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Effective population size | |
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Matrix migration models | |
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Strobeck's theorem | |
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Fast migration limit | |
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Symmetric island model | |
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Identity by descent | |
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Mean and variance of coalescence times | |
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Effective population sizes | |
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Large n limit | |
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Fixation indices | |
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Stepping Stone Model | |
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d = 1, Exact results | |
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d = 1 and 2, Fourier methods | |
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d = 2, Coalescence times | |
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Random walk results | |
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Samples of size 2 | |
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Fixation indices F[subscript ST] | |
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d = 2, Genealogies | |
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Simulation results | |
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d = 1, Continuous models | |
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d = 2, Continuous models | |
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Natural Selection | |
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Directional selection | |
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Fixation probability | |
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Time to fixation | |
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Three phases of the fixation process | |
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Ancestral selection graph | |
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Balancing selection | |
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Background selection | |
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Muller's ratchet | |
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Evolutionary advantages of recombination | |
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Sex, epistasis, and Kondrashov | |
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Hitchhiking | |
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Better approximations | |
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Recurrent sweeps | |
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Nucleotide diversity | |
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Genealogies | |
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Segregating sites | |
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Diffusion Processes | |
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Infinitesimal mean and variance | |
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Examples of diffusions | |
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Transition probabilities | |
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Hitting probabilities | |
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Stationary measures | |
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Occupation times | |
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Green's functions | |
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Examples | |
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Conditioned processes | |
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Boundary behavior | |
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Site frequency spectrum | |
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Poisson random field model | |
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Fluctuating selection | |
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Multidimensional Diffusions | |
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K allele model | |
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Fixation probabilities and time | |
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Stationary distributions | |
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Recombination | |
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A clever change of variables | |
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Time-dependent behavior | |
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Equilibrium when there is mutation | |
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Hill-Robertson interference | |
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Gene duplication | |
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Watterson's double recessive null model | |
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Subfunctionalization | |
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Genome Rearrangement | |
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Inversions | |
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Breakpoint graph | |
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Hurdles | |
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When is parsimony reliable? | |
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Phase transition | |
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Bayesian approach | |
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Nadeau and Taylor's analysis | |
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Genomic distance | |
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Graph distance | |
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Bayesian estimation | |
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Midpoint problem | |
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Genome duplication | |
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Yeast | |
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Maize | |
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Arabidopsis thaliana | |
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References | |
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Index | |