Recent progress in coalescent theory
N Berestycki - ar** generations and
fixed population size N assuming that the family sizes within a generation are exchangeable …
fixed population size N assuming that the family sizes within a generation are exchangeable …
[HTML][HTML] Coalescent processes obtained from supercritical Galton–Watson processes
J Schweinsberg - Stochastic processes and their Applications, 2003 - Elsevier
Consider a population model in which there are N individuals in each generation. One can
obtain a coalescent tree by sampling n individuals from the current generation and following …
obtain a coalescent tree by sampling n individuals from the current generation and following …
Recombination modification in a fluctuating environment
B Charlesworth - Genetics, 1976 - academic.oup.com
This paper examines the theory of the evolution of increased recombination between two
loci subjected to interactive selection in a temporally fluctuating environment. Both cyclical …
loci subjected to interactive selection in a temporally fluctuating environment. Both cyclical …
Stochastic flows associated to coalescent processes
J Bertoin, JFL Gall - Probability Theory and Related Fields, 2003 - Springer
We study a class of stochastic flows connected to the coalescent processes that have been
studied recently by Möhle, Pitman, Sagitov and Schweinsberg in connection with asymptotic …
studied recently by Möhle, Pitman, Sagitov and Schweinsberg in connection with asymptotic …
Can the site-frequency spectrum distinguish exponential population growth from multiple-merger coalescents?
The ability of the site-frequency spectrum (SFS) to reflect the particularities of gene
genealogies exhibiting multiple mergers of ancestral lines as opposed to those obtained in …
genealogies exhibiting multiple mergers of ancestral lines as opposed to those obtained in …
A coalescent process with simultaneous multiple mergers for approximating the gene genealogies of many marine organisms
O Sargsyan, J Wakeley - Theoretical population biology, 2008 - Elsevier
We describe a forward-time haploid reproduction model with a constant population size that
includes life history characteristics common to many marine organisms. We develop …
includes life history characteristics common to many marine organisms. We develop …
A modified lookdown construction for the **-Fleming-Viot process with mutation and populations with recurrent bottlenecks
Let $\Lambda $ be a finite measure on the unit interval. A $\Lambda $-Fleming-Viot process
is a probability measure valued Markov process which is dual to a coalescent with multiple …
is a probability measure valued Markov process which is dual to a coalescent with multiple …
The concept of duality and applications to Markov processes arising in neutral population genetics models
M Möhle - 1999 - projecteuclid.org
One possible and widely used definition of the duality of Markov processes employs
functions H relating one process to another in a certain way. For given processes X and Y …
functions H relating one process to another in a certain way. For given processes X and Y …