The Moran model with selection

Mapping of the stochastic Lotka-Volterra model to models of population genetics and game theory.

The relationship between the M-species stochastic Lotka-Volterra competition (SLVC) model and the M-allele Moran model of population genetics is explored via timescale separation arguments. When selection for species is weak and the population size is large but finite, precise conditions are determined for the stochastic dynamics of the SLVC model to be mappable to the neutral Moran model, the ...

The Moran model with selection: fixation probabilities, ancestral lines, and an alternative particle representation.

We reconsider the Moran model in continuous time with population size N, two allelic types, and selection. We introduce a new particle representation, which we call the labelled Moran model, and which has the same distribution of type frequencies as the original Moran model, provided the initial values are chosen appropriately. In the new model, individuals are labelled 1,2,…,N; neutral resampl...

Modeling multiallelic selection using a Moran model.

We present a Moran-model approach to modeling general multiallelic selection in a finite population and show how it may be used to develop theoretical models of biological systems of balancing selection such as plant gametophytic self-incompatibility loci. We propose new expressions for the stationary distribution of allele frequencies under selection and use them to show that the continuous-ti...

The AmericaView classification methods accuracy comparison project: A rigorous approach for model selection

Models of genetic drift as limiting forms of the Lotka-Volterra competition model.

The relationship between the Moran model and stochastic Lotka-Volterra competition (SLVC) model is explored via time scale separation arguments. For neutral systems the two are found to be equivalent at long times. For systems with selective pressure, their behavior differs. It is argued that the SLVC is preferable to the Moran model since in the SLVC population size is regulated by competition...

Corrigendum to "Bayesian model selection for group studies" [NeuroImage 46 (2009) 1005-1017]

Corrigendum to “Bayesian model selection for group studies” [NeuroImage 46 (2009) 1005–1017] Klaas Enno Stephan ⁎, Will D. Penny , Jean Daunizeau , Rosalyn J. Moran , Karl J. Friston a a Wellcome Trust Centre for Neuroimaging, Institute of Neurology, University College London, 12 Queen Square, London, WC1N 3BG, UK b Laboratory for Social and Neural Systems Research, Institute for Empirical Rese...