Introductory Lectures on Stochastic Population Systems

Abstract

These notes provide a review of basic stochastic population models including branching processes and models of population genetics. Measure-valued population models including superprocesses and Fleming-Viot processes are also introduced together some basic methods for their analysis.

256 pages, 5 figures. These notes also appear as Technical Report No. 451 in the Technical Report Series of the Laboratory for Research in Statistics and Probability of the School of Mathematics and Statistics, Carleton University, Ottawa, Canada

References in corpus (6)

• The spread of epidemic disease on networks
• Coevolutionary Dynamics: From Finite to Infinite Populations
• A microscopic probabilistic description of a locally regulated population and macroscopic approximations
• Stochastic models in population biology and their deterministic analogs
• Large extinctions in an evolutionary model: The role of innovation and keystone species
• Rescaled Lotka-Volterra Models Converge to Super Stable Processes

Cited by in corpus (5)

• Conjugacy properties of time-evolving Dirichlet and gamma random measures
• Smoothing distributions for conditional Fleming-Viot and Dawson-Watanabe diffusions
• Two level natural selection with a quasi-stationarity approach
• Individual-based models under various time-scales
• On a Multilocus Wright-Fisher Model with Mutation and a Svirezhev-Shahshahani Gradient-like Selection Dynamics