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Third Bangalore School on Population Genetics and Evolution
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Introduction to the coalescent theory
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The coalescent variance
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The coa Review variance
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Robustness of the coalescent
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Example
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Population genetics in and of itself only allows limited inference
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Effective population size
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Variable population size
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In a constant population:
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Exponential growth
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Rule of thumb
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Population structure
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The structured Wright-Fisher model
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This model can equally well be studied backward in time.
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The two-deme model
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Slow migration
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Consequences of slow migration
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Fast migration
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Let 7; be the stationary probability that a lineage is in patch i.
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Source-sink environments
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Is the island model a good model?
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Sex
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Hermaphrodites and self-fertilization
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Males and females
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Stage structure
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Stochastic demography
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Why recombination?
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Recombination backwards in time!
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Recombination makes it possible for linked sites to
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In the The ancestral recombination graph
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In the limit as N - co:
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A walk through tree space
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Simulating data
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How common is recombination?
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Detecting recombination
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It can be shown that a very large fraction of recombination events cannot be detected even with infinite mutation rate.
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Overcoming the evolutionary variance
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The number of SNPs in 20 copies of 10 kb, 1000 runs:
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Same thing, with recombination:
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Linkage disequilibrium LD
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Why "linkage disequilbrium"?
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Where does come from?
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Assuming random mating, we have:
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How does evolve? Well,
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Decay of haplotype sharing
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HapMap Project
Description:
Delve into the intricacies of coalescent theory in this comprehensive lecture from the Third Bangalore School on Population Genetics and Evolution. Explore key concepts such as coalescent variance, effective population size, and population structure. Examine models like the structured Wright-Fisher model and the two-deme model, and investigate the effects of migration rates. Learn about sex in evolutionary contexts, including hermaphroditism and self-fertilization. Discover the role of recombination in evolution, its backward-in-time perspective, and the ancestral recombination graph. Gain insights into simulating data, detecting recombination events, and understanding linkage disequilibrium. This in-depth presentation covers advanced topics in population genetics, providing a solid foundation for researchers and students in evolutionary biology, mathematics, and related fields.

Introduction to the Coalescent Theory - Lecture 2

International Centre for Theoretical Sciences
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