Bjarki Eldon


Currently a postdoc in the group of Jochen Blath at TU Berlin. From September 2009 until October 2012, I was postdoc at the Department of Statistics at University of Oxford working with Alison Etheridge. John Wakeley at Harvard University supervised my PhD work on gene genealogies and large offspring numbers.

Address:
TU Berlin, Fakultät II
Institut für Mathematik, MA 7-5
Straße des 17. Juni 136
10623 Berlin
Germany

Office: MA 764

Phone number: 0049 30 314 25762

Email: eldon 'at' math.tu-berlin.de

Research interests: Population genetics, evolutionary biology, population models admitting high fecundity, multiple merger coalescent processes, marine genomics, probability theory

On my research: Some marine organisms like Atlantic cod (Gadus morhua) and Pacific oysters (Crassostrea gigas) have high fecundity to make up for high early mortality. They also tend to exhibit a large number of genetic variants present in low-copy numbers. These characteristics imply that, occasionally at least, a few lucky parents have very many offspring. Population models traditionally employed are applicable to populations with low numbers of offspring; humans are a good example of such a population. I'm interested in population models that allow for large numbers of offspring. The coalescent processes that result from these models admit multiple and simultaneous multiple mergers of ancestral lineages, and so are special cases of the Lambda- and Xi-coalescents introduced by Donnelly and Kurtz (1999), Pitman (1999), Sagitov (1999), and Schweinsberg (2000). A lot of work remains in understanding large offspring numbers in terms of predictions about genetic diversity and developing inference methods. Apart from a pure academic interest, better understanding of the genetics of commercially important marine populations should improve conservation and management efforts. Multiple merger coalescent models may also find applications in medical genetics and epidemiology.

Natural populations interact in many ways. Two examples are predation, and competition for resources such as space. Developing population models, and the resulting coalescent processes, that account for interactions among populations is a major goal. Developing and classifying multiple merger coalescent processes that allow for stochastically changing population size is a step in that direction.

Matthias Birkner, Jochen Blath and I are developing diploid biparental population models that allow large offspring numbers, with the aim of deriving ancestral recombination graphs to be employed to distinguish between population models using multi-loci genetic data

James Degnan, Sha Zhu and I are computing concordance probabilities between gene trees and species trees for multiple merger coalescent processes. These calculations will be important for phylogeny reconstruction of marine organisms with large offspring numbers.

Preprints

  • Zhu S, Degnan JH, Eldon B (2013) Hybrid-Lambda: simulation of multiple merger and Kingman gene genealogies in species networks and species trees. arxiv
  • Eldon B (2012) Age of an allele and gene genealogies of nested subsamples for populations admitting large offspring numbers. arxiv
  • Selected publications

    • Birkner M, Blath J, Eldon B (2013) An ancestral recombination graph for diploid populations with skewed offspring distribution. Genetics 193:255-290.
    • Eldon B, Degnan JH (2012) Multiple merger gene genealogies in two species: monophyly, paraphyly, and polyphyly for two examples of Lambda coalescents. Theor Popul Biol 82:117--130.
    • Eldon B (2011) Estimation of parameters in large offspring number models and ratios of coalescence times. Theor Popul Biol 80:16--28.
    • Eldon, B (2009) Structured coalescent processes from a modified Moran model with large offspring numbers. Theor Popul Biol 76:92--104.
    • Eldon, B and Wakeley, J (2009) Coalescence times and Fst under a skewed offspring distribution among individuals in a population. Genetics 181:615--29.
    • Eldon, B and Wakeley, J (2008) Linkage disequilibrium under skewed offspring distribution among individuals in a population. Genetics 178:1517--32.
    • Eldon, B and Wakeley, J (2006) Coalescent processes when the distribution of offspring number among individuals is highly skewed. Genetics 172:2621--33.