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== [[Stochastic dynamics in finite populations]] ==
== [[Stochastic dynamics in finite populations]] ==
[[Image:Stochastic dynamics - noise term Cxx, no mutations.png|left|160x160px]]
[[Image:RSP - SDE.svg|160px|left|link=Stochastic dynamics in finite populations]]
Tutorial on the stochastic dynamics arising through demographic noise and mutations in finite populations of size \(N\). Comparisons of the deterministic replicator dynamics in the limit of infinite population sizes \(N\to\infty\) to the stochastic dynamics generated by stochastic differential equations, which are derived from a microscopic description of elementary changes in the population, as well as to results from individual based simulations.
Tutorial on the stochastic dynamics arising through demographic noise and mutations in finite populations of size \(N\). Comparisons of the deterministic replicator dynamics in the limit of infinite population sizes \(N\to\infty\) to the stochastic dynamics generated by stochastic differential equations, which are derived from a microscopic description of elementary changes in the population, as well as to results from individual based simulations.