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We consider the space of complete and separable metric spaces which are equipped with a probability measure. A notion of convergence is given based on the philosophy that a sequence of metric measure… (More)

- Thomas Städler, Bernhard Haubold, Carlos Merino, Wolfgang Stephan, Peter Pfaffelhuber
- Genetics
- 2009

Using coalescent simulations, we study the impact of three different sampling schemes on patterns of neutral diversity in structured populations. Specifically, we are interested in two summary… (More)

For a genetic locus carrying a strongly beneficial allele which has just fixed in a large population, we study the ancestry at a linked neutral locus. During this “selective sweep” the linkage… (More)

- Bernhard Haubold, Peter Pfaffelhuber, Michael Lynch
- Molecular ecology
- 2010

Improvements in sequencing technology over the past 5 years are leading to routine application of shotgun sequencing in the fields of ecology and evolution. However, the theory to estimate… (More)

- Bernhard Haubold, Fabian Klötzl, Peter Pfaffelhuber
- Bioinformatics
- 2015

MOTIVATION
A standard approach to classifying sets of genomes is to calculate their pairwise distances. This is difficult for large samples. We have therefore developed an algorithm for rapidly… (More)

- Bernhard Haubold, Peter Pfaffelhuber, Mirjana Domazet-Loso, Thomas Wiehe
- Journal of Computational Biology
- 2009

Abstract Alignment-free distance measures are generally less accurate but more efficient than traditional alignment-based metrics. In the context of genome sequence analysis, the efficiency gain is… (More)

- Cornelia Pokalyuk, Peter Pfaffelhuber
- Theoretical population biology
- 2013

The ancestral selection graph (ASG) was introduced by Neuhauser and Krone (1997) in order to study populations of constant size which evolve under selection. Coalescence events, which occur at rate… (More)

The Fleming–Viot measure-valued diffusion is a Markov process describing the evolution of (allelic) types under mutation, selection and random reproduction. We enrich this process by genealogical… (More)

The measure-valued Fleming–Viot process is a diffusion which models the evolution of allele frequencies in a multi-type population. In the neutral setting the Kingman coalescent is known to generate… (More)

Consider a haploid population which has evolved through an exchangeable reproduction dynamics , and in which all individuals alive at time t have a most recent common ancestor (MRCA) who lived at… (More)