The propagation of a beneficial mutation in a spatially extended population is usually studied using the phenomenological stochastic Fisher-Kolmogorov-Petrovsky-Piscounov (SFKPP) equation. We derive here an individual-based, stochastic model founded on the spatial Moran process where fluctuations are treated exactly. The mean-field approximation of this model leads to an equation that is differ...

Modelling driving decisions: a latent plan approach Charisma F. Choudhury a b & Moshe E. Ben-Akiva b a Department of Civil Engineering , Bangladesh University of Engineering and Technology , Dhaka , Bangladesh b Department of Civil and Environmental Engineering , Massachusetts Institute of Technology , Cambridge , MA , USA Accepted author version posted online: 10 Nov 2011.Published online: 18 ...