The extent to which selection and demography impact patterns of genetic diversity in natural populations of Drosophila melanogaster is yet to be fully understood. We previously observed that the pattern of LD at scales of ~10 kb in the Drosophila Genetic Reference Panel (DGRP), consisting of 145 inbred strains from Raleigh, North Carolina, measured both between pairs of sites and as haplotype homozygosity, is elevated above neutral demographic expectations. Further, we demonstrated that signatures of strong and recent soft sweeps are abundant. However, the extent to which this pattern is specific to this derived and admixed population is unknown. Neither is it clear whether such a pattern may have arisen as a consequence of the extensive inbreeding performed to generate the DGRP data. Here we analyze > 100 fully sequenced strains from Zambia, an ancestral population to the Raleigh population, that has experienced little to no admixture and was generated by sequencing haploid embryos rather than inbred strains. This data set allows us to determine whether patterns of elevated LD and signatures of abundant soft sweeps are generic to multiple populations of D. melanogaster or whether they are generated either by inbreeding, bottlenecks or admixture in the DGRP dataset. We find an elevation in long-range LD and haplotype homozygosity in the Zambian dataset, confirming the result from the DGRP data set. This elevation in LD and haplotype structure remains even after controlling for many sources of LD in the data including genomic inversions, admixture, population substructure, close relatedness of individual strains, and recombination rate variation. Furthermore, signatures of partial soft sweeps similar to those found in the DGRP are common in Zambia. These results suggest that while the selective forces and sources of adaptive mutations may differ in Zambia and Raleigh, elevated long-range LD and signatures of soft sweeps are generic in D. melanogaster.
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Para-allopatry in hybridizing fire-bellied toads (Bombina bombina and B. variegata): inference from transcriptome-wide coalescence analyses
Age-related and heteroplasmy-related variation in human mtDNA copy number
Patching holes in the Chlamydomonas genome
Decomposing the site frequency spectrum: the impact of tree topology on neutrality tests
Decomposing the site frequency spectrum: the impact of tree topology on neutrality tests
Alice Ledda, Guillaume Achaz, Thomas Wiehe, Luca Ferretti
We investigate the dependence of the site frequency spectrum (SFS) on the topological structure of coalescent trees. We show that basic population genetic statistics – for instance estimators of theta or neutrality tests such as Tajima’s D – can be decomposed into components of waiting times between coalescent events and of tree topology. Our results clarify the relative impact of the two components on these statistics. We provide a rigorous interpretation of positive or negative values of neutrality tests in terms of the underlying tree shape. In particular, we show that values of Tajima’s D and Fay and Wu’s H depend in a direct way on a measure of tree balance which is mostly determined by the root balance of the tree. We also compute the maximum and minimum values for neutrality tests as a function of sample size.
Focusing on the standard coalescent model of neutral evolution, we discuss how waiting times between coalescent events are related to derived allele frequencies and thereby to the frequency spectrum. Finally, we show how tree balance affects the frequency spectrum. In particular, we derive the complete SFS conditioned on the root imbalance. We show that the conditional spectrum is peaked at frequencies corresponding to the root imbalance and strongly biased towards rare alleles.
On the Balance of Unrooted Trees
On the Balance of Unrooted Trees
Mareike Fischer, Volkmar Liebscher
We solve a class of optimization problems for (phylogenetic) X-trees or their shapes. These problems have recently appeared in different contexts, e.g. in the context of the impact of tree shapes on the size of TBR neighborhoods, but so far these problems have not been characterized and solved in a systematic way. In this work we generalize the concept and also present several applications. Moreover, our results give rise to a nice notion of balance for trees. Unsurprisingly, so-called caterpillars are the most unbalanced tree shapes, but it turns out that balanced tree shapes cannot be described so easily as they need not even be unique.
Estimation of the True Evolutionary Distance under the Fragile Breakage Model
Estimation of the True Evolutionary Distance under the Fragile Breakage Model
Nikita Alexeev, Max A. Alekseyev
The ability to estimate the evolutionary distance between extant genomes plays a crucial role in many phylogenomic studies. Often such estimation is based on the parsimony assumption, implying that the distance between two genomes can be estimated as the minimal number of genome rearrangements required to transform one genome into the other. However, in reality the parsimony assumption may not always hold, emphasizing the need for estimation that does not rely on the minimal number of genome rearrangements. While there exists a method for such estimation, it however assumes that genomes can be broken by rearrangements equally likely at any position in the course of evolution. This assumption, known as the random breakage model, has recently been refuted in favor of the more rigorous fragile breakage model postulating that only certain “fragile” genomic regions are prone to rearrangements. We propose a new method for estimating the evolutionary distance between two genomes with high accuracy under the fragile breakage model.
A general approximation for the dynamics of quantitative traits
A general approximation for the dynamics of quantitative traits
Katarína Boďová, Gašper Tkačik, Nicholas H. Barton
Selection, mutation and random drift affect the dynamics of allele frequencies and consequently of quantitative traits. While the macroscopic dynamics of quantitative traits can be measured, the underlying allele frequencies are typically unobserved. Can we understand how the macroscopic observables evolve without following these microscopic processes? The problem has previously been studied by analogy with statistical mechanics: the allele frequency distribution at each time is approximated by the stationary form, which maximises entropy. We explore the limitations of this method when mutation is small (4Nμ<1) so that populations are typically close to fixation and we extend the theory in this regime to account for changes in mutation strength. We consider a single diallelic locus under either directional selection, or with over-dominance, and then generalise to multiple unlinked biallelic loci with unequal effects. We find that the maximum entropy approximation is remarkably accurate, even when mutation and selection change rapidly.